diff --git a/dev/assets/XMasTree.png b/dev/assets/XMasTree.png
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diff --git a/dev/assets/documenter.js b/dev/assets/documenter.js
new file mode 100644
index 000000000..6adfbbbf4
--- /dev/null
+++ b/dev/assets/documenter.js
@@ -0,0 +1,331 @@
+// Generated by Documenter.jl
+requirejs.config({
+  paths: {
+    'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia.min',
+    'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min',
+    'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.12.1/jquery-ui.min',
+    'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/contrib/auto-render.min',
+    'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min',
+    'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min',
+    'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min',
+    'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/highlight.min',
+    'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia-repl.min',
+  },
+  shim: {
+  "highlight-julia": {
+    "deps": [
+      "highlight"
+    ]
+  },
+  "katex-auto-render": {
+    "deps": [
+      "katex"
+    ]
+  },
+  "headroom-jquery": {
+    "deps": [
+      "jquery",
+      "headroom"
+    ]
+  },
+  "highlight-julia-repl": {
+    "deps": [
+      "highlight"
+    ]
+  }
+}
+});
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) {
+$(document).ready(function() {
+  renderMathInElement(
+    document.body,
+    {
+  "delimiters": [
+    {
+      "left": "$",
+      "right": "$",
+      "display": false
+    },
+    {
+      "left": "$$",
+      "right": "$$",
+      "display": true
+    },
+    {
+      "left": "\\[",
+      "right": "\\]",
+      "display": true
+    }
+  ]
+}
+
+  );
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) {
+$(document).ready(function() {
+    hljs.highlightAll();
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require([], function() {
+function addCopyButtonCallbacks() {
+  for (const el of document.getElementsByTagName("pre")) {
+    const button = document.createElement("button");
+    button.classList.add("copy-button", "fas", "fa-copy");
+    el.appendChild(button);
+
+    const success = function () {
+      button.classList.add("success", "fa-check");
+      button.classList.remove("fa-copy");
+    };
+
+    const failure = function () {
+      button.classList.add("error", "fa-times");
+      button.classList.remove("fa-copy");
+    };
+
+    button.addEventListener("click", function () {
+      copyToClipboard(el.innerText).then(success, failure);
+
+      setTimeout(function () {
+        button.classList.add("fa-copy");
+        button.classList.remove("success", "fa-check", "fa-times");
+      }, 5000);
+    });
+  }
+}
+
+function copyToClipboard(text) {
+  // clipboard API is only available in secure contexts
+  if (window.navigator && window.navigator.clipboard) {
+    return window.navigator.clipboard.writeText(text);
+  } else {
+    return new Promise(function (resolve, reject) {
+      try {
+        const el = document.createElement("textarea");
+        el.textContent = text;
+        el.style.position = "fixed";
+        el.style.opacity = 0;
+        document.body.appendChild(el);
+        el.select();
+        document.execCommand("copy");
+
+        resolve();
+      } catch (err) {
+        reject(err);
+      } finally {
+        document.body.removeChild(el);
+      }
+    });
+  }
+}
+
+if (document.readyState === "loading") {
+  document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks);
+} else {
+  addCopyButtonCallbacks();
+}
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) {
+
+// Manages the top navigation bar (hides it when the user starts scrolling down on the
+// mobile).
+window.Headroom = Headroom; // work around buggy module loading?
+$(document).ready(function() {
+  $('#documenter .docs-navbar').headroom({
+    "tolerance": {"up": 10, "down": 10},
+  });
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// Modal settings dialog
+$(document).ready(function() {
+  var settings = $('#documenter-settings');
+  $('#documenter-settings-button').click(function(){
+    settings.toggleClass('is-active');
+  });
+  // Close the dialog if X is clicked
+  $('#documenter-settings button.delete').click(function(){
+    settings.removeClass('is-active');
+  });
+  // Close dialog if ESC is pressed
+  $(document).keyup(function(e) {
+    if (e.keyCode == 27) settings.removeClass('is-active');
+  });
+});
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// Manages the showing and hiding of the sidebar.
+$(document).ready(function() {
+  var sidebar = $("#documenter > .docs-sidebar");
+  var sidebar_button = $("#documenter-sidebar-button")
+  sidebar_button.click(function(ev) {
+    ev.preventDefault();
+    sidebar.toggleClass('visible');
+    if (sidebar.hasClass('visible')) {
+      // Makes sure that the current menu item is visible in the sidebar.
+      $("#documenter .docs-menu a.is-active").focus();
+    }
+  });
+  $("#documenter > .docs-main").bind('click', function(ev) {
+    if ($(ev.target).is(sidebar_button)) {
+      return;
+    }
+    if (sidebar.hasClass('visible')) {
+      sidebar.removeClass('visible');
+    }
+  });
+})
+
+// Resizes the package name / sitename in the sidebar if it is too wide.
+// Inspired by: https://github.com/davatron5000/FitText.js
+$(document).ready(function() {
+  e = $("#documenter .docs-autofit");
+  function resize() {
+    var L = parseInt(e.css('max-width'), 10);
+    var L0 = e.width();
+    if(L0 > L) {
+      var h0 = parseInt(e.css('font-size'), 10);
+      e.css('font-size', L * h0 / L0);
+      // TODO: make sure it survives resizes?
+    }
+  }
+  // call once and then register events
+  resize();
+  $(window).resize(resize);
+  $(window).on('orientationchange', resize);
+});
+
+// Scroll the navigation bar to the currently selected menu item
+$(document).ready(function() {
+  var sidebar = $("#documenter .docs-menu").get(0);
+  var active = $("#documenter .docs-menu .is-active").get(0);
+  if(typeof active !== 'undefined') {
+    sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15;
+  }
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+function set_theme(theme) {
+  var active = null;
+  var disabled = [];
+  for (var i = 0; i < document.styleSheets.length; i++) {
+    var ss = document.styleSheets[i];
+    var themename = ss.ownerNode.getAttribute("data-theme-name");
+    if(themename === null) continue; // ignore non-theme stylesheets
+    // Find the active theme
+    if(themename === theme) active = ss;
+    else disabled.push(ss);
+  }
+  if(active !== null) {
+    active.disabled = false;
+    if(active.ownerNode.getAttribute("data-theme-primary") === null) {
+      document.getElementsByTagName('html')[0].className = "theme--" + theme;
+    } else {
+      document.getElementsByTagName('html')[0].className = "";
+    }
+    disabled.forEach(function(ss){
+      ss.disabled = true;
+    });
+  }
+
+  // Store the theme in localStorage
+  if(typeof(window.localStorage) !== "undefined") {
+    window.localStorage.setItem("documenter-theme", theme);
+  } else {
+    console.error("Browser does not support window.localStorage");
+  }
+}
+
+// Theme picker setup
+$(document).ready(function() {
+  // onchange callback
+  $('#documenter-themepicker').change(function themepick_callback(ev){
+    var themename = $('#documenter-themepicker option:selected').attr('value');
+    set_theme(themename);
+  });
+
+  // Make sure that the themepicker displays the correct theme when the theme is retrieved
+  // from localStorage
+  if(typeof(window.localStorage) !== "undefined") {
+    var theme =  window.localStorage.getItem("documenter-theme");
+    if(theme !== null) {
+      $('#documenter-themepicker option').each(function(i,e) {
+        e.selected = (e.value === theme);
+      })
+    } else {
+      $('#documenter-themepicker option').each(function(i,e) {
+        e.selected = $("html").hasClass(`theme--${e.value}`);
+      })
+    }
+  }
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// update the version selector with info from the siteinfo.js and ../versions.js files
+$(document).ready(function() {
+  // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the
+  // siteinfo.js file, we just return immediately and not display the version selector.
+  if (typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === 'boolean' && DOCUMENTER_VERSION_SELECTOR_DISABLED) {
+    return;
+  }
+
+  var version_selector = $("#documenter .docs-version-selector");
+  var version_selector_select = $("#documenter .docs-version-selector select");
+
+  version_selector_select.change(function(x) {
+    target_href = version_selector_select.children("option:selected").get(0).value;
+    window.location.href = target_href;
+  });
+
+  // add the current version to the selector based on siteinfo.js, but only if the selector is empty
+  if (typeof DOCUMENTER_CURRENT_VERSION !== 'undefined' && $('#version-selector > option').length == 0) {
+    var option = $("<option value='#' selected='selected'>" + DOCUMENTER_CURRENT_VERSION + "</option>");
+    version_selector_select.append(option);
+  }
+
+  if (typeof DOC_VERSIONS !== 'undefined') {
+    var existing_versions = version_selector_select.children("option");
+    var existing_versions_texts = existing_versions.map(function(i,x){return x.text});
+    DOC_VERSIONS.forEach(function(each) {
+      var version_url = documenterBaseURL + "/../" + each;
+      var existing_id = $.inArray(each, existing_versions_texts);
+      // if not already in the version selector, add it as a new option,
+      // otherwise update the old option with the URL and enable it
+      if (existing_id == -1) {
+        var option = $("<option value='" + version_url + "'>" + each + "</option>");
+        version_selector_select.append(option);
+      } else {
+        var option = existing_versions[existing_id];
+        option.value = version_url;
+        option.disabled = false;
+      }
+    });
+  }
+
+  // only show the version selector if the selector has been populated
+  if (version_selector_select.children("option").length > 0) {
+    version_selector.toggleClass("visible");
+  }
+})
+
+})
diff --git a/dev/assets/favicon.ico b/dev/assets/favicon.ico
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index 000000000..9b9764f45
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diff --git a/dev/assets/logo.png b/dev/assets/logo.png
new file mode 100644
index 000000000..dae9e66cd
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diff --git a/dev/assets/logo_avatar.png b/dev/assets/logo_avatar.png
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index 000000000..52bca2064
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diff --git a/dev/assets/search.js b/dev/assets/search.js
new file mode 100644
index 000000000..c133f7410
--- /dev/null
+++ b/dev/assets/search.js
@@ -0,0 +1,267 @@
+// Generated by Documenter.jl
+requirejs.config({
+  paths: {
+    'lunr': 'https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min',
+    'lodash': 'https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.21/lodash.min',
+    'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min',
+  }
+});
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'lunr', 'lodash'], function($, lunr, _) {
+
+$(document).ready(function() {
+  // parseUri 1.2.2
+  // (c) Steven Levithan <stevenlevithan.com>
+  // MIT License
+  function parseUri (str) {
+    var  o   = parseUri.options,
+      m   = o.parser[o.strictMode ? "strict" : "loose"].exec(str),
+      uri = {},
+      i   = 14;
+
+    while (i--) uri[o.key[i]] = m[i] || "";
+
+    uri[o.q.name] = {};
+    uri[o.key[12]].replace(o.q.parser, function ($0, $1, $2) {
+      if ($1) uri[o.q.name][$1] = $2;
+    });
+
+    return uri;
+  };
+  parseUri.options = {
+    strictMode: false,
+    key: ["source","protocol","authority","userInfo","user","password","host","port","relative","path","directory","file","query","anchor"],
+    q:   {
+      name:   "queryKey",
+      parser: /(?:^|&)([^&=]*)=?([^&]*)/g
+    },
+    parser: {
+      strict: /^(?:([^:\/?#]+):)?(?:\/\/((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?))?((((?:[^?#\/]*\/)*)([^?#]*))(?:\?([^#]*))?(?:#(.*))?)/,
+      loose:  /^(?:(?![^:@]+:[^:@\/]*@)([^:\/?#.]+):)?(?:\/\/)?((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?)(((\/(?:[^?#](?![^?#\/]*\.[^?#\/.]+(?:[?#]|$)))*\/?)?([^?#\/]*))(?:\?([^#]*))?(?:#(.*))?)/
+    }
+  };
+
+  $("#search-form").submit(function(e) {
+    e.preventDefault()
+  })
+
+  // list below is the lunr 2.1.3 list minus the intersect with names(Base)
+  // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with)
+  // ideally we'd just filter the original list but it's not available as a variable
+  lunr.stopWordFilter = lunr.generateStopWordFilter([
+    'a',
+    'able',
+    'about',
+    'across',
+    'after',
+    'almost',
+    'also',
+    'am',
+    'among',
+    'an',
+    'and',
+    'are',
+    'as',
+    'at',
+    'be',
+    'because',
+    'been',
+    'but',
+    'by',
+    'can',
+    'cannot',
+    'could',
+    'dear',
+    'did',
+    'does',
+    'either',
+    'ever',
+    'every',
+    'from',
+    'got',
+    'had',
+    'has',
+    'have',
+    'he',
+    'her',
+    'hers',
+    'him',
+    'his',
+    'how',
+    'however',
+    'i',
+    'if',
+    'into',
+    'it',
+    'its',
+    'just',
+    'least',
+    'like',
+    'likely',
+    'may',
+    'me',
+    'might',
+    'most',
+    'must',
+    'my',
+    'neither',
+    'no',
+    'nor',
+    'not',
+    'of',
+    'off',
+    'often',
+    'on',
+    'or',
+    'other',
+    'our',
+    'own',
+    'rather',
+    'said',
+    'say',
+    'says',
+    'she',
+    'should',
+    'since',
+    'so',
+    'some',
+    'than',
+    'that',
+    'the',
+    'their',
+    'them',
+    'then',
+    'there',
+    'these',
+    'they',
+    'this',
+    'tis',
+    'to',
+    'too',
+    'twas',
+    'us',
+    'wants',
+    'was',
+    'we',
+    'were',
+    'what',
+    'when',
+    'who',
+    'whom',
+    'why',
+    'will',
+    'would',
+    'yet',
+    'you',
+    'your'
+  ])
+
+  // add . as a separator, because otherwise "title": "Documenter.Anchors.add!"
+  // would not find anything if searching for "add!", only for the entire qualification
+  lunr.tokenizer.separator = /[\s\-\.]+/
+
+  // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names
+  lunr.trimmer = function (token) {
+    return token.update(function (s) {
+      return s.replace(/^[^a-zA-Z0-9@!]+/, '').replace(/[^a-zA-Z0-9@!]+$/, '')
+    })
+  }
+
+  lunr.Pipeline.registerFunction(lunr.stopWordFilter, 'juliaStopWordFilter')
+  lunr.Pipeline.registerFunction(lunr.trimmer, 'juliaTrimmer')
+
+  var index = lunr(function () {
+    this.ref('location')
+    this.field('title',{boost: 100})
+    this.field('text')
+    documenterSearchIndex['docs'].forEach(function(e) {
+        this.add(e)
+    }, this)
+  })
+  var store = {}
+
+  documenterSearchIndex['docs'].forEach(function(e) {
+      store[e.location] = {title: e.title, category: e.category, page: e.page}
+  })
+
+  $(function(){
+    searchresults = $('#documenter-search-results');
+    searchinfo = $('#documenter-search-info');
+    searchbox = $('#documenter-search-query');
+    searchform = $('.docs-search');
+    sidebar = $('.docs-sidebar');
+    function update_search(querystring) {
+      tokens = lunr.tokenizer(querystring)
+      results = index.query(function (q) {
+        tokens.forEach(function (t) {
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 100,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 10,
+            usePipeline: true,
+            editDistance: 2,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["text"],
+            boost: 1,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+        })
+      })
+      searchinfo.text("Number of results: " + results.length)
+      searchresults.empty()
+      results.forEach(function(result) {
+        data = store[result.ref]
+        link = $('<a class="docs-label">'+data.title+'</a>')
+        link.attr('href', documenterBaseURL+'/'+result.ref)
+        if (data.category != "page"){
+          cat = $('<span class="docs-category">('+data.category+', '+data.page+')</span>')
+        } else {
+          cat = $('<span class="docs-category">('+data.category+')</span>')
+        }
+        li = $('<li>').append(link).append(" ").append(cat)
+        searchresults.append(li)
+      })
+    }
+
+    function update_search_box() {
+      querystring = searchbox.val()
+      update_search(querystring)
+    }
+
+    searchbox.keyup(_.debounce(update_search_box, 250))
+    searchbox.change(update_search_box)
+
+    // Disable enter-key form submission for the searchbox on the search page
+    // and just re-run search rather than refresh the whole page.
+    searchform.keypress(
+      function(event){
+        if (event.which == '13') {
+          if (sidebar.hasClass('visible')) {
+            sidebar.removeClass('visible');
+          }
+          update_search_box();
+          event.preventDefault();
+        }
+      }
+    );
+
+    search_query_uri = parseUri(window.location).queryKey["q"]
+    if(search_query_uri !== undefined) {
+      search_query = decodeURIComponent(search_query_uri.replace(/\+/g, '%20'))
+      searchbox.val(search_query)
+    }
+    update_search_box();
+  })
+})
+
+})
diff --git a/dev/assets/themes/documenter-dark.css b/dev/assets/themes/documenter-dark.css
new file mode 100644
index 000000000..c94a294dc
--- /dev/null
+++ b/dev/assets/themes/documenter-dark.css
@@ -0,0 +1,7 @@
+@keyframes spinAround{from{transform:rotate(0deg)}to{transform:rotate(359deg)}}html.theme--documenter-dark .tabs,html.theme--documenter-dark .pagination-previous,html.theme--documenter-dark .pagination-next,html.theme--documenter-dark .pagination-link,html.theme--documenter-dark .pagination-ellipsis,html.theme--documenter-dark .breadcrumb,html.theme--documenter-dark .file,html.theme--documenter-dark .button,.is-unselectable,html.theme--documenter-dark .modal-close,html.theme--documenter-dark .delete{-webkit-touch-callout:none;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none}html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after,html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after{border:3px solid rgba(0,0,0,0);border-radius:2px;border-right:0;border-top:0;content:" ";display:block;height:0.625em;margin-top:-0.4375em;pointer-events:none;position:absolute;top:50%;transform:rotate(-45deg);transform-origin:center;width:0.625em}html.theme--documenter-dark .admonition:not(:last-child),html.theme--documenter-dark .tabs:not(:last-child),html.theme--documenter-dark .message:not(:last-child),html.theme--documenter-dark .list:not(:last-child),html.theme--documenter-dark .level:not(:last-child),html.theme--documenter-dark .breadcrumb:not(:last-child),html.theme--documenter-dark .highlight:not(:last-child),html.theme--documenter-dark .block:not(:last-child),html.theme--documenter-dark .title:not(:last-child),html.theme--documenter-dark .subtitle:not(:last-child),html.theme--documenter-dark .table-container:not(:last-child),html.theme--documenter-dark .table:not(:last-child),html.theme--documenter-dark .progress:not(:last-child),html.theme--documenter-dark .notification:not(:last-child),html.theme--documenter-dark 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+  Author: @ericwbailey
+  Maintainer: @ericwbailey
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!important}html.theme--documenter-dark .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused{background-color:#282f2f;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark,html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:transparent;color:#ecf0f1}html.theme--documenter-dark .button.is-dark:hover,html.theme--documenter-dark .content kbd.button:hover,html.theme--documenter-dark .button.is-dark.is-hovered,html.theme--documenter-dark .content kbd.button.is-hovered{background-color:#232829;border-color:transparent;color:#ecf0f1}html.theme--documenter-dark .button.is-dark:focus,html.theme--documenter-dark .content kbd.button:focus,html.theme--documenter-dark .button.is-dark.is-focused,html.theme--documenter-dark .content kbd.button.is-focused{border-color:transparent;color:#ecf0f1}html.theme--documenter-dark .button.is-dark:focus:not(:active),html.theme--documenter-dark .content kbd.button:focus:not(:active),html.theme--documenter-dark .button.is-dark.is-focused:not(:active),html.theme--documenter-dark .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(40,47,47,0.25)}html.theme--documenter-dark .button.is-dark:active,html.theme--documenter-dark .content kbd.button:active,html.theme--documenter-dark .button.is-dark.is-active,html.theme--documenter-dark .content kbd.button.is-active{background-color:#1d2122;border-color:transparent;color:#ecf0f1}html.theme--documenter-dark .button.is-dark[disabled],html.theme--documenter-dark .content kbd.button[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark,fieldset[disabled] html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:transparent;box-shadow:none}html.theme--documenter-dark .button.is-dark.is-inverted,html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#ecf0f1;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted:hover,html.theme--documenter-dark .content kbd.button.is-inverted:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered{background-color:#dde4e6}html.theme--documenter-dark .button.is-dark.is-inverted[disabled],html.theme--documenter-dark .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#ecf0f1;border-color:transparent;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-loading::after,html.theme--documenter-dark .content kbd.button.is-loading::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-dark.is-outlined,html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-outlined.is-focused{background-color:#282f2f;border-color:#282f2f;color:#ecf0f1}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-dark.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#ecf0f1;color:#ecf0f1}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#ecf0f1;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark 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.docstring>section>a.button.is-outlined.is-hovered.docs-sourcelink,html.theme--documenter-dark .button.is-primary.is-outlined:focus,html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink:focus,html.theme--documenter-dark .button.is-primary.is-outlined.is-focused,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-focused.docs-sourcelink{background-color:#375a7f;border-color:#375a7f;color:#fff}html.theme--documenter-dark .button.is-primary.is-outlined.is-loading::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink::after{border-color:transparent transparent #375a7f #375a7f !important}html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:hover::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:hover::after,html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark 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a.navbar-item:hover{background-color:rgba(0,0,0,0);color:#dbdee0}html.theme--documenter-dark .navbar-dropdown a.navbar-item.is-active{background-color:rgba(0,0,0,0);color:#1abc9c}.navbar.is-spaced html.theme--documenter-dark .navbar-dropdown,html.theme--documenter-dark .navbar-dropdown.is-boxed{border-radius:8px;border-top:none;box-shadow:0 8px 8px rgba(10,10,10,0.1), 0 0 0 1px rgba(10,10,10,0.1);display:block;opacity:0;pointer-events:none;top:calc(100% + (-4px));transform:translateY(-5px);transition-duration:86ms;transition-property:opacity, transform}html.theme--documenter-dark .navbar-dropdown.is-right{left:auto;right:0}html.theme--documenter-dark .navbar-divider{display:block}html.theme--documenter-dark .navbar>.container .navbar-brand,html.theme--documenter-dark .container>.navbar .navbar-brand{margin-left:-.75rem}html.theme--documenter-dark .navbar>.container .navbar-menu,html.theme--documenter-dark .container>.navbar .navbar-menu{margin-right:-.75rem}html.theme--documenter-dark .navbar.is-fixed-bottom-desktop,html.theme--documenter-dark .navbar.is-fixed-top-desktop{left:0;position:fixed;right:0;z-index:30}html.theme--documenter-dark .navbar.is-fixed-bottom-desktop{bottom:0}html.theme--documenter-dark .navbar.is-fixed-bottom-desktop.has-shadow{box-shadow:0 -2px 3px rgba(10,10,10,0.1)}html.theme--documenter-dark .navbar.is-fixed-top-desktop{top:0}html.theme--documenter-dark html.has-navbar-fixed-top-desktop,html.theme--documenter-dark body.has-navbar-fixed-top-desktop{padding-top:4rem}html.theme--documenter-dark html.has-navbar-fixed-bottom-desktop,html.theme--documenter-dark body.has-navbar-fixed-bottom-desktop{padding-bottom:4rem}html.theme--documenter-dark html.has-spaced-navbar-fixed-top,html.theme--documenter-dark body.has-spaced-navbar-fixed-top{padding-top:6rem}html.theme--documenter-dark html.has-spaced-navbar-fixed-bottom,html.theme--documenter-dark body.has-spaced-navbar-fixed-bottom{padding-bottom:6rem}html.theme--documenter-dark a.navbar-item.is-active,html.theme--documenter-dark .navbar-link.is-active{color:#1abc9c}html.theme--documenter-dark a.navbar-item.is-active:not(:focus):not(:hover),html.theme--documenter-dark .navbar-link.is-active:not(:focus):not(:hover){background-color:rgba(0,0,0,0)}html.theme--documenter-dark .navbar-item.has-dropdown:focus .navbar-link,html.theme--documenter-dark .navbar-item.has-dropdown:hover .navbar-link,html.theme--documenter-dark .navbar-item.has-dropdown.is-active .navbar-link{background-color:rgba(0,0,0,0)}}html.theme--documenter-dark .hero.is-fullheight-with-navbar{min-height:calc(100vh - 4rem)}html.theme--documenter-dark .pagination{font-size:15px;margin:-.25rem}html.theme--documenter-dark .pagination.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.pagination{font-size:.85em}html.theme--documenter-dark .pagination.is-medium{font-size:1.25rem}html.theme--documenter-dark .pagination.is-large{font-size:1.5rem}html.theme--documenter-dark 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.pagination-ellipsis{font-size:1em;justify-content:center;margin:.25rem;padding-left:.5em;padding-right:.5em;text-align:center}html.theme--documenter-dark .pagination-previous,html.theme--documenter-dark .pagination-next,html.theme--documenter-dark .pagination-link{border-color:#5e6d6f;color:#1abc9c;min-width:2.25em}html.theme--documenter-dark .pagination-previous:hover,html.theme--documenter-dark .pagination-next:hover,html.theme--documenter-dark .pagination-link:hover{border-color:#8c9b9d;color:#1dd2af}html.theme--documenter-dark .pagination-previous:focus,html.theme--documenter-dark .pagination-next:focus,html.theme--documenter-dark .pagination-link:focus{border-color:#8c9b9d}html.theme--documenter-dark .pagination-previous:active,html.theme--documenter-dark .pagination-next:active,html.theme--documenter-dark .pagination-link:active{box-shadow:inset 0 1px 2px rgba(10,10,10,0.2)}html.theme--documenter-dark .pagination-previous[disabled],html.theme--documenter-dark 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.panel-block{align-items:center;color:#f2f2f2;display:flex;justify-content:flex-start;padding:0.5em 0.75em}html.theme--documenter-dark .panel-block input[type="checkbox"]{margin-right:0.75em}html.theme--documenter-dark .panel-block>.control{flex-grow:1;flex-shrink:1;width:100%}html.theme--documenter-dark .panel-block.is-wrapped{flex-wrap:wrap}html.theme--documenter-dark .panel-block.is-active{border-left-color:#1abc9c;color:#17a689}html.theme--documenter-dark .panel-block.is-active .panel-icon{color:#1abc9c}html.theme--documenter-dark a.panel-block,html.theme--documenter-dark label.panel-block{cursor:pointer}html.theme--documenter-dark a.panel-block:hover,html.theme--documenter-dark label.panel-block:hover{background-color:#282f2f}html.theme--documenter-dark .panel-icon{display:inline-block;font-size:14px;height:1em;line-height:1em;text-align:center;vertical-align:top;width:1em;color:#fff;margin-right:0.75em}html.theme--documenter-dark .panel-icon 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span.sgr102{background-color:#0e8300}.ansi span.sgr103{background-color:#a98800}.ansi span.sgr104{background-color:#3c5dcd}.ansi span.sgr105{background-color:#9256af}.ansi span.sgr106{background-color:#008fa3}.ansi span.sgr107{background-color:#f5f5f5}code.language-julia-repl>span.hljs-meta{color:#066f00;font-weight:bolder}/*!
+  Theme: Default
+  Description: Original highlight.js style
+  Author: (c) Ivan Sagalaev <maniac@softwaremaniacs.org>
+  Maintainer: @highlightjs/core-team
+  Website: https://highlightjs.org/
+  License: see project LICENSE
+  Touched: 2021
+*/pre code.hljs{display:block;overflow-x:auto}code.hljs{padding:3px 5px}.hljs{background:#F0F0F0;color:#444}.hljs-comment{color:#888888}.hljs-tag,.hljs-punctuation{color:#444a}.hljs-tag .hljs-name,.hljs-tag .hljs-attr{color:#444}.hljs-keyword,.hljs-attribute,.hljs-selector-tag,.hljs-meta .hljs-keyword,.hljs-doctag,.hljs-name{font-weight:bold}.hljs-type,.hljs-string,.hljs-number,.hljs-selector-id,.hljs-selector-class,.hljs-quote,.hljs-template-tag,.hljs-deletion{color:#880000}.hljs-title,.hljs-section{color:#880000;font-weight:bold}.hljs-regexp,.hljs-symbol,.hljs-variable,.hljs-template-variable,.hljs-link,.hljs-selector-attr,.hljs-operator,.hljs-selector-pseudo{color:#BC6060}.hljs-literal{color:#78A960}.hljs-built_in,.hljs-bullet,.hljs-code,.hljs-addition{color:#397300}.hljs-meta{color:#1f7199}.hljs-meta .hljs-string{color:#4d99bf}.hljs-emphasis{font-style:italic}.hljs-strong{font-weight:bold}
diff --git a/dev/assets/themeswap.js b/dev/assets/themeswap.js
new file mode 100644
index 000000000..c58e993e3
--- /dev/null
+++ b/dev/assets/themeswap.js
@@ -0,0 +1,66 @@
+// Small function to quickly swap out themes. Gets put into the <head> tag..
+function set_theme_from_local_storage() {
+  // Intialize the theme to null, which means default
+  var theme = null;
+  // If the browser supports the localstorage and is not disabled then try to get the
+  // documenter theme
+  if(window.localStorage != null) {
+    // Get the user-picked theme from localStorage. May be `null`, which means the default
+    // theme.
+    theme =  window.localStorage.getItem("documenter-theme");
+  }
+  // Check if the browser supports user color preference
+  var darkPreference = false;
+  // Check if the users preference is for dark color scheme
+  if(window.matchMedia('(prefers-color-scheme: dark)').matches === true) {
+    darkPreference = true;
+  }
+  // Initialize a few variables for the loop:
+  //
+  //  - active: will contain the index of the theme that should be active. Note that there
+  //    is no guarantee that localStorage contains sane values. If `active` stays `null`
+  //    we either could not find the theme or it is the default (primary) theme anyway.
+  //    Either way, we then need to stick to the primary theme.
+  //
+  //  - disabled: style sheets that should be disabled (i.e. all the theme style sheets
+  //    that are not the currently active theme)
+  var active = null; var disabled = []; var darkTheme = null;
+  for (var i = 0; i < document.styleSheets.length; i++) {
+    var ss = document.styleSheets[i];
+    // The <link> tag of each style sheet is expected to have a data-theme-name attribute
+    // which must contain the name of the theme. The names in localStorage much match this.
+    var themename = ss.ownerNode.getAttribute("data-theme-name");
+    // attribute not set => non-theme stylesheet => ignore
+    if(themename === null) continue;
+    // To distinguish the default (primary) theme, it needs to have the data-theme-primary
+    // attribute set.
+    var isprimary = (ss.ownerNode.getAttribute("data-theme-primary") !== null);
+    // Check if the theme is primary dark theme
+    var isDarkTheme = (ss.ownerNode.getAttribute("data-theme-primary-dark") !== null);
+    // If ss is for dark theme then set the value of darkTheme to the name of the theme
+    if(isDarkTheme) darkTheme = themename;
+    // If we find a matching theme (and it's not the default), we'll set active to non-null
+    if(themename === theme) active = i;
+    // Store the style sheets of inactive themes so that we could disable them
+    if(themename !== theme) disabled.push(ss);
+  }
+  if(active !== null) {
+    // If we did find an active theme, we'll (1) add the theme--$(theme) class to <html>
+    document.getElementsByTagName('html')[0].className = "theme--" + theme;
+    // and (2) disable all the other theme stylesheets
+    disabled.forEach(function(ss){
+      ss.disabled = true;
+    });
+  }
+  else if(darkTheme !== null && darkPreference === true) {
+    // If we did find an active theme, we'll (1) add the theme--$(theme) class to <html>
+    document.getElementsByTagName('html')[0].className = "theme--" + darkTheme;
+    // and (2) disable all the other theme stylesheets
+    disabled.forEach(function(ss){
+      if (ss.ownerNode.getAttribute("data-theme-name") !== darkTheme) {
+        ss.disabled = true;
+      }
+    });
+  }
+}
+set_theme_from_local_storage();
diff --git a/dev/assets/warner.js b/dev/assets/warner.js
new file mode 100644
index 000000000..5531c8851
--- /dev/null
+++ b/dev/assets/warner.js
@@ -0,0 +1,49 @@
+function maybeAddWarning () {
+    // DOCUMENTER_NEWEST is defined in versions.js, DOCUMENTER_CURRENT_VERSION and DOCUMENTER_STABLE
+    // in siteinfo.js.
+    // If either of these are undefined something went horribly wrong, so we abort.
+    if (
+            window.DOCUMENTER_NEWEST === undefined ||
+            window.DOCUMENTER_CURRENT_VERSION === undefined ||
+            window.DOCUMENTER_STABLE === undefined
+       ) {
+        return
+    };
+
+    // Current version is not a version number, so we can't tell if it's the newest version. Abort.
+    if (!/v(\d+\.)*\d+/.test(window.DOCUMENTER_CURRENT_VERSION)) {
+        return
+    };
+
+    // Current version is newest version, so no need to add a warning.
+    if (window.DOCUMENTER_NEWEST === window.DOCUMENTER_CURRENT_VERSION) {
+        return
+    };
+
+    // Add a noindex meta tag (unless one exists) so that search engines don't index this version of the docs.
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diff --git a/dev/index.html b/dev/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Home · GeoParams.jl</title><script data-outdated-warner src="assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="."</script><script 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class="tocitem" href="man/radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="man/shearheating/">Shear heating</a></li><li><a class="tocitem" href="man/gravity/">Gravity</a></li><li><a class="tocitem" href="man/melting/">Partial Melting</a></li><li><a class="tocitem" href="man/TASclassification/">TAS classification</a></li><li><a class="tocitem" href="man/zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="man/phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="man/seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="man/strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="man/plotting/">Plotting</a></li><li><a class="tocitem" href="man/listfunctions/">List of functions</a></li><li><a class="tocitem" href="man/contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Home</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Home</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/index.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="GeoParams.jl"><a class="docs-heading-anchor" href="#GeoParams.jl">GeoParams.jl</a><a id="GeoParams.jl-1"></a><a class="docs-heading-anchor-permalink" href="#GeoParams.jl" title="Permalink"></a></h1><p>Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:</p><ul><li>Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).</li><li>Material parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. </li></ul><p>We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="man/geounit/">GeoUnit »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 28 October 2024 13:52">Monday 28 October 2024</span>. Using Julia version 1.10.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/dev/man/TASclassification/index.html b/dev/man/TASclassification/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>TAS classification · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script><link href="../../assets/favicon.ico" rel="icon" type="image/x-icon"/></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li class="is-active"><a class="tocitem" href>TAS classification</a><ul class="internal"><li><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li><a class="tocitem" href="#Computational-routine"><span>Computational routine</span></a></li></ul></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>TAS classification</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>TAS classification</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/TASclassification.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="TAS-rock-classification"><a class="docs-heading-anchor" href="#TAS-rock-classification">TAS rock classification</a><a id="TAS-rock-classification-1"></a><a class="docs-heading-anchor-permalink" href="#TAS-rock-classification" title="Permalink"></a></h1><h2 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h2><p>When doing coupled petrological-geodynamic modelling, the evolution of the composition of the magma is more easily understood when a rock type is given. This routine is an implementation of the TAS diagram (Total Alkali (TA) vs Silica (S)) from Le Maitre et al., 2002.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.TASclassificationData" href="#GeoParams.TASclassification.TASclassificationData"><code>GeoParams.TASclassification.TASclassificationData</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">TASclassificationData
+
+Struct that holds default parameters for the TAS diagram</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/RockClassification/TASclassification.jl#L47-L51">source</a></section></article><h2 id="Computational-routine"><a class="docs-heading-anchor" href="#Computational-routine">Computational routine</a><a id="Computational-routine-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routine" title="Permalink"></a></h2><p>There is one routine with which you can retrieve the index of the TAS rock-type. The routine receives as an input a compositional vector [SiO2,Na2O+K2O] in wt% and sends back an index [1-15].</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.computeTASclassification" href="#GeoParams.TASclassification.computeTASclassification"><code>GeoParams.TASclassification.computeTASclassification</code></a> — <span class="docstring-category">Function</span></header><section><div><p>classIndex computeTASclassification(chemComp::AbstractArray{_T,N}, ClassTASdata::TASclassificationData)</p><p>This compute the classification of the igneous rock using TAS diagram (Total Alkali (TA) vs Silica (S)).</p><p><strong>Input:</strong></p><ul><li><code>chemComp</code> : vector rock composition in oxide wt%</li></ul><p>Output:</p><ul><li><code>classIndex</code> : an integer [0-14] corresponding to a TAS field (TASclassificationData.litho[classIndex])</li></ul><p>This routine was developed based the TAS classification of Le Maitre et al., 2002</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/RockClassification/TASclassification.jl#L113-L127">source</a></section></article><p>Using the index of the rock-type you can get the name of the corresponding volcanic rock using the following routine.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.retrieveTASrockType" href="#GeoParams.TASclassification.retrieveTASrockType"><code>GeoParams.TASclassification.retrieveTASrockType</code></a> — <span class="docstring-category">Function</span></header><section><div><p>retrieveTASrockType(index::Int64; ClassTASdata::TASclassificationData = TASclassificationData())</p><p>This retrieves the name of the volcanic rock-type using the computed index</p><p><strong>Input:</strong></p><ul><li><code>index</code> : integer [1-15]</li></ul><p>Output:</p><ul><li><code>litho</code> : a string of the name of corresponding volcanic rock</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/RockClassification/TASclassification.jl#L93-L105">source</a></section></article><p>We also provide a plotting routine, provided the GLMakie.jl package is loaded, which produces figures such as: <img src="../assets/img/TAS_diagram.png" alt="subet3"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../melting/">« Partial Melting</a><a class="docs-footer-nextpage" href="../zirconages/">Zircon Ages »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 28 October 2024 13:52">Monday 28 October 2024</span>. Using Julia version 1.10.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Conductivity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Conductivity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/conductivity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Conductivity"><a class="docs-heading-anchor" href="#Conductivity">Conductivity</a><a id="Conductivity-1"></a><a class="docs-heading-anchor-permalink" href="#Conductivity" title="Permalink"></a></h1><h2 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h2><p>Thermal conductivity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.ConstantConductivity" href="#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantConductivity(k=3.0W/m/K)</code></pre><p>Set a constant conductivity</p><p class="math-container">\[    k  = cst\]</p><p>where <span>$k$</span> is the thermal conductivity [<span>$W/m/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Energy/Conductivity.jl#L28-L36">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington" href="#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Conductivity_Whittington()</code></pre><p>Sets a temperature-dependent conductivity following the parameterization of <em>Whittington, A.G., Hofmeister, A.M., Nabelek, P.I., 2009. Temperature-dependent thermal diffusivity of the Earth’s crust and implications for magmatism. Nature 458, 319–321. https://doi.org/10.1038/nature07818.</em> Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us to compute</p><p class="math-container">\[    Cp = a + b T - c/T^2\]</p><p class="math-container">\[    \kappa = d/T - e \textrm{ if } T&lt;=846K\]</p><p class="math-container">\[    \kappa = f - g*T \textrm{ if } T&gt;846K\]</p><p class="math-container">\[    \rho = 2700 kg/m^3\]</p><p class="math-container">\[    k = \kappa \rho Cp\]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/mol/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <code>T</code>:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>d = 576.3m^2/s*K</li><li>e = 0.062m^2/s</li><li>f = 0.732m^2/s</li><li>g = 0.000135m^2/s/K</li></ul><p>This looks like:</p><p><img src="../assets/img/Conductivity_Whittington.png" alt="subet1"/></p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; using GLMakie, GeoParams
+julia&gt; p=T_Conductivity_Whittington();
+julia&gt; T,k,plt = PlotConductivity(p)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Energy/Conductivity.jl#L79-L125">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised" href="#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Conductivity_Whittington_parameterised()</code></pre><p>Sets a temperature-dependent conductivity that is  parameterization after <em>Whittington, et al.  2009</em></p><p>The original parameterization involves quite a few parameters; this is a polynomial fit that is roughly valid from 0-1000 Celsius</p><p class="math-container">\[    k [W/m/K] = -2 10^{-9} (T-Ts)^3 + 6 10^{-6} (T-Ts)^2 - 0.0062 (T-Ts) + 4\]</p><p class="math-container">\[    Ts = 273.15 K\]</p><p>where <code>T[K]</code> is the temperature in Kelvin (or the nondimensional equivalent of it).</p><p>The comparison of this parameterisation vs. the original one is: <img src="../assets/img/Conductivity_Whittington_smooth.png" alt="subet1"/></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Energy/Conductivity.jl#L216-L234">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">TP_Conductivity()</code></pre><p>Sets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for</p><p class="math-container">\[    k = \left( a_k +  {b_k \over {T + c_k}} \right) (1 + d_k P)\]</p><p>where <span>$k$</span> is the conductivity [<span>$W/K/m$</span>], and <span>$a_k,b_k,c_k,d_k$</span> are parameters that dependent on the temperature <code>T</code> and pressure <code>P</code>:</p><ul><li><span>$a_k$</span> = 1.18Watt/K/m</li><li><span>$b_k$</span> = 474Watt/m</li><li><span>$c_k$</span> = 77K</li><li><span>$d_k$</span> = 0/MPa</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Energy/Conductivity.jl#L311-L326">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">Set_TP_Conductivity[&quot;Name of temperature(-pressure) dependent conductivity&quot;]</code></pre><p>This is a dictionary with pre-defined laws:</p><ul><li>&quot;UpperCrust&quot;</li><li>&quot;LowerCrust&quot;</li><li>&quot;OceanicCrust&quot;</li><li>&quot;Mantle&quot;</li></ul><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; k=Set_TP_Conductivity[&quot;Mantle&quot;]
+T/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Energy/Conductivity.jl#L349-L364">source</a></section></article><h2 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h2><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">k = compute_conductivity(P, T, s:&lt;AbstractConductivity)</code></pre><p>Returns the thermal conductivity <code>k</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the parameterizations implemented.</p><p>Currently available:</p><ul><li>ConstantConductivity</li><li>T_Conductivity_Whittington</li><li>TP_Conductivity</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia hljs">julia&gt; T  = (250:100:1250)*K;
+julia&gt; cp = T_HeatCapacity_Whittington()
+julia&gt; Cp = ComputeHeatCapacity(0,T,cp)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Energy/Conductivity.jl#L496-L515">source</a></section><section><div><pre><code class="nohighlight hljs">compute_conductivity!(K::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},Temp::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of conductivity <code>K</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>Temp</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p>_________________________________________________________________________________________________________</p><p>compute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</p><p>In-place computation of conductivity <code>k</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Energy/Conductivity.jl#L537-L549">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity!" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_conductivity(k_array::AbstractArray{&lt;:AbstractFloat,N},P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, s::ConstantConductivity) where N</code></pre><p>In-place routine to compute constant conductivity</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Energy/Conductivity.jl#L63-L67">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../heatcapacity/">« Heat Capacity</a><a class="docs-footer-nextpage" href="../latentheat/">Latent heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 28 October 2024 13:52">Monday 28 October 2024</span>. Using Julia version 1.10.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Creep laws</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Creep laws</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/creeplaws.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="CreepLaws"><a class="docs-heading-anchor" href="#CreepLaws">CreepLaws</a><a id="CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#CreepLaws" title="Permalink"></a></h1><p>The following viscous creep laws are implemented:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">LinearViscous(η=1e20Pa*s)</code></pre><p>Defines a linear viscous creeplaw </p><p>The (isotopic) linear viscous rheology is given by  </p><p class="math-container">\[    \tau_{ij} = 2 \eta \dot{\varepsilon}_{ij} \]</p><p>or</p><p class="math-container">\[    \dot{\varepsilon}_{ij}  = {\tau_{ij}  \over 2 \eta }\]</p><p>where <span>$\eta_0$</span> is the reference viscosity [Pa*s] at reference strain rate <span>$\dot{\varepsilon}_0$</span>[1/s], and <span>$n$</span> the power law exponent []. </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/CreepLaw/CreepLaw.jl#L80-L95">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)</code></pre><p>Defines a power law viscous creeplaw as: </p><p class="math-container">\[    \tau_{ij}^n  = 2 \eta_0 \left( \dot{\varepsilon}_{ij} \over \dot{\varepsilon}_0 \right)\]</p><p>where <span>$\eta$</span> is the effective viscosity [Pa*s].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/CreepLaw/CreepLaw.jl#L293-L302">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DislocationCreep(n = 1.0NoUnits, r = 0.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )</code></pre><p>Defines the flow law parameter of a dislocation creep law.</p><p>The (isotropic) dislocation creep law, as used by experimentalists, is given by  </p><p class="math-container">\[     \dot{\gamma} = A \sigma_\mathrm{d}^n f_\mathrm{H2O}^r \exp\left(-\frac{E+PV}{RT}\right)\]</p><p>where </p><ul><li><span>$n$</span> is the power law exponent  </li><li><span>$r$</span> is the exponent of fugacity dependence </li><li><span>$A$</span> is a pre-exponential factor <span>$[\mathrm{MPa}^{-n}s^{-1}]$</span> (if manually defined, <span>$n$</span> and <span>$r$</span> must be either pre-defined or substituted) </li><li><span>$E$</span> is the activation energy <span>$\mathrm{[kJ/mol]}$</span> </li><li><span>$V$</span> is the activation volume <span>$\mathrm{[m^3/mol]}$</span> </li><li><span>$\dot{\gamma}$</span> is the strain rate <span>$\mathrm{[1/s]}$</span> </li><li><span>$\sigma_\mathrm{d}$</span> is the differential stress <span>$\mathrm{[MPa]}$</span> which are converted into second invariants using the <code>Apparatus</code> variable that can be</li></ul><p>either <code>AxialCompression</code>, <code>SimpleShear</code> or <code>Invariant</code>. If the flow law parameters are already given as a function of second invariants, choose <code>Apparatus=Invariant</code>.</p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; x2 = DislocationCreep(n=3)
+DislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/CreepLaw/DislocationCreep.jl#L19-L43">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DiffusionCreep(r = 0NoUnits, p = A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )</code></pre><p>Defines the flow law parameter of a dislocation creep law.</p><p>The (isotropic) diffusion creep law, as used by experimentalists, is given by  </p><p class="math-container">\[     \dot{\gamma} = A \sigma_\mathrm{d} d^{\mathrm{p}} f_\mathrm{H2O}^r \exp\left(-\frac{E+PV}{RT}\right)\]</p><p>where </p><ul><li><span>$r$</span> is the exponent of fugacity dependence </li><li><span>$p$</span> is the exponent of grain size</li><li><span>$A$</span> is a pre-exponential factor <span>$[\mathrm{MPa}^{-n}s^{-1}]$</span> (if manually defined, <span>$n$</span> and <span>$r$</span> must be either pre-defined or substituted) </li><li><span>$E$</span> is the activation energy <span>$\mathrm{[kJ/mol]}$</span> </li><li><span>$V$</span> is the activation volume <span>$\mathrm{[m^3/mol]}$</span> </li><li><span>$\dot{\gamma}$</span> is the strain rate <span>$\mathrm{[1/s]}$</span> </li><li><span>$\sigma_\mathrm{d}$</span> is the differential stress <span>$\mathrm{[MPa]}$</span></li></ul><p>The experimental parameters are converted into second invariants using the <code>Apparatus</code> variable that can be either <code>AxialCompression</code>, <code>SimpleShear</code> or <code>Invariant</code>. If the flow law parameters are already given as a function of second invariants, choose <code>Apparatus=Invariant</code>.</p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; x2 = DiffusionCreep(Name=&quot;test&quot;)
+DiffusionCreep: Name = test, n=1.0, r=0.0, p=-3.0, A=1.5 m³·⁰ MPa⁻¹·⁰ s⁻¹·⁰, E=500.0 kJ mol⁻¹·⁰, V=2.4e-5 m³·⁰ mol⁻¹·⁰, FT=1.7320508075688772, FE=1.1547005383792517)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/CreepLaw/DiffusionCreep.jl#L23-L49">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetDiffusionCreep[&quot;Name of Diffusion Creep&quot;]</code></pre><p>This is a dictionary with pre-defined creep laws    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/CreepLaw/DiffusionCreep.jl#L337-L340">source</a></section></article><h2 id="Computational-routines-for-creep-laws"><a class="docs-heading-anchor" href="#Computational-routines-for-creep-laws">Computational routines for creep laws</a><a id="Computational-routines-for-creep-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines-for-creep-laws" title="Permalink"></a></h2><p>Once a creep rheology is defined, we can use the following routines to perform computations within the solvers</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_εII(a::DiffusionCreep, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)</code></pre><p>Returns diffusion creep strainrate as a function of 2nd invariant of the stress tensor <span>$\tau_{II}$</span> </p><p class="math-container">\[    \dot{ε}_{II} = A τ_{II}^n d^{p} f_{H_2O}^r \exp \left(- {{E + PV} \over RT} \right)\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/CreepLaw/DiffusionCreep.jl#L134-L143">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(a::GrainBoundarySliding, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)</code></pre><p>Returns grain boundary sliding strainrate as a function of 2nd invariant of the stress tensor <span>$\tau_{II}$</span> </p><p class="math-container">\[    \dot{ε}_{II} = A τ_{II}^n d^{p} \exp \left(- {{E + PV} \over RT} \right)  #ÄNDERN!!!!!!!!\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/CreepLaw/GrainBoundarySliding.jl#L126-L135">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(s::ConstantElasticity{_T}, τII; τII_old, dt)</code></pre><p>Computes elastic strainrate given the deviatoric stress at the current (<code>τII</code>) and old timestep (<code>τII_old</code>), for a timestep <code>dt</code>:</p><p class="math-container">\[    \dot{\varepsilon}^{el} = {1 \over 2 G} {D \tau_{II} \over Dt } ≈ {1 \over 2 G} {\tau_{II}- \tilde{\tau}_{II}^{old} \over dt }\]</p><p>Note that we here solve the scalar equation, which is sufficient for isotropic cases. In tensor form, it would be</p><p class="math-container">\[    {\dot{\varepsilon}^{el}}_{ij} = {1 \over 2 G} { \tau_{ij} - \tilde{{\tau_{ij}}}^{old} \over dt }\]</p><p>here <span>$\tilde{{\tau_{ij}}}^{old}$</span> is the rotated old deviatoric stress tensor to ensure objectivity (this can be done with Jaumann derivative, or also by using the full rotational formula).</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Elasticity/Elasticity.jl#L100-L114">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(p::DruckerPrager{_T,U,U1}, λdot::_T, τII::_T,  P)</code></pre><p>This computes plastic strain rate invariant for a given <span>$λdot$</span></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Plasticity/DruckerPrager.jl#L171-L175">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(p::DruckerPrager_regularised{_T,U,U1}, λdot::_T, τII::_T,  P)</code></pre><p>This computes plastic strain rate invariant for a given <span>$λdot$</span></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Plasticity/DruckerPrager_regularised.jl#L168-L172">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::Parallel{T,N}, τII, args; tol=1e-6, verbose=false, n=1)</code></pre><p>Computing <code>εII</code> as a function of <code>τII</code> for a Parallel elements is (usually) a nonlinear problem</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/CompositeRheologies/Parallel.jl#L49-L53">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::CompositeRheology{T,N}, τII, args; tol=1e-6, verbose=false, n=1)</code></pre><p>Computing <code>εII</code> as a function of <code>τII</code> for a composite element is the sum of the individual contributions</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/CompositeRheologies/CompositeRheology.jl#L76-L80">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::AbstractPlasticity, τII::_T, args; tol=1e-6, verbose=true)</code></pre><p>Performs local iterations to compute the plastic strainrate. Note that the non-plastic strainrate, ε_np, should be part of <code>args</code></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/CompositeRheologies/NonlinearIterations.jl#L129-L133">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)</code></pre><p>Computes strainrate as a function of stress</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/CreepLaw/DiffusionCreep.jl#L170-L174">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)</code></pre><p>Computes strainrate as a function of stress</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/CreepLaw/GrainBoundarySliding.jl#L163-L167">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, s::LinearMeltViscosity, TauII::AbstractArray{_T,N}; T, kwargs...)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/CreepLaw/MeltViscosity.jl#L64-L66">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, s::ViscosityPartialMelt_Costa_etal_2009, TauII::AbstractArray{_T,N}; T, kwargs...)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/CreepLaw/MeltViscosity.jl#L214-L216">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, s::LinearViscous, TauII::AbstractArray{_T,N})</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/CreepLaw/CreepLaw.jl#L113-L116">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, s::ArrheniusType, TauII::AbstractArray{_T,N})</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/CreepLaw/CreepLaw.jl#L226-L229">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(ε_el::AbstractArray{_T,N}, s::ConstantElasticity{_T}; τII::AbstractArray{_T,N}, τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)</code></pre><p>In-place computation of the elastic shear strainrate for given deviatoric stress invariants at the previous (<code>τII_old</code>) and new (<code>τII</code>) timestep, as well as the timestep <code>dt</code>  </p><p class="math-container">\[    \dot{\varepsilon}^{el} = {1 \over 2 G} {D \tau_{II} \over Dt } ≈ {1 \over 2 G} {\tau_{II}- \tau_{II}^{old} \over dt }\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Elasticity/Elasticity.jl#L144-L153">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_τII(a::DislocationCreep, EpsII; P, T, f, args...)</code></pre><p>Computes the stress for a Dislocation creep law given a certain strain rate</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/CreepLaw/DislocationCreep.jl#L189-L194">source</a></section><section><div><pre><code class="nohighlight hljs">computeCreepLaw_TauII(EpsII::_T, a::DiffusionCreep; T::_T, P=zero(_T), f=one(_T), d=one(_T), kwargs...)</code></pre><p>Returns diffusion creep stress as a function of 2nd invariant of the strain rate </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/CreepLaw/DiffusionCreep.jl#L227-L231">source</a></section><section><div><pre><code class="nohighlight hljs">computeCreepLaw_TauII(EpsII::_T, a::GrainBoundarySliding; T::_T, P=zero(_T), d=one(_T), kwargs...)</code></pre><p>Returns grain boundary sliding stress as a function of 2nd invariant of the strain rate </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/CreepLaw/GrainBoundarySliding.jl#L209-L213">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(a::PeierlsCreep, EpsII; P, T, f, args...)</code></pre><p>Computes the stress for a peierls creep law given a certain strain rate.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/CreepLaw/PeierlsCreep.jl#L158-L163">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(s::LinearMeltViscosity, EpsII; kwargs...)</code></pre><p>Returns second invariant of the stress tensor given a 2nd invariant of strain rate tensor</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/CreepLaw/MeltViscosity.jl#L95-L99">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(s::ViscosityPartialMelt_Costa_etal_2009, EpsII; kwargs...)</code></pre><p>Returns second invariant of the stress tensor given a 2nd invariant of strain rate tensor</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/CreepLaw/MeltViscosity.jl#L232-L236">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(s::LinearViscous, EpsII; kwargs...)</code></pre><p>Returns second invariant of the stress tensor given a 2nd invariant of strain rate tensor </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/CreepLaw/CreepLaw.jl#L139-L143">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(s::ArrheniusType, EpsII; kwargs...)</code></pre><p>Returns second invariant of the stress tensor given a 2nd invariant of strain rate tensor </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/CreepLaw/CreepLaw.jl#L250-L254">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(s::PowerlawViscous, EpsII; kwargs...)</code></pre><p>Returns second invariant of the stress tensor given a 2nd invariant of strain rate tensor </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/CreepLaw/CreepLaw.jl#L330-L334">source</a></section><section><div><pre><code class="nohighlight hljs">τII = compute_τII(v::CompositeRheology{T,N}, εII, args; tol=1e-6, verbose=false)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/CompositeRheologies/CompositeRheology.jl#L208-L211">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_τII!(TauII::AbstractArray{_T,N}, a::DislocationCreep, EpsII::AbstractArray{_T,N}; 
+    P =       zero(TauII)::AbstractArray{_T,N}, 
+    T = ones(size(TauII))::AbstractArray{_T,N}, 
+    f = ones(size(TauII))::AbstractArray{_T,N})</code></pre><p>Computes the deviatoric stress invariant for a dislocation creep law</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/CreepLaw/DislocationCreep.jl#L227-L234">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII!(TauII::AbstractArray{_T,N}, a::PeierlsCreep, EpsII::AbstractArray{_T,N}; 
+    T = ones(size(TauII))::AbstractArray{_T,N}, args...)</code></pre><p>Computes the deviatoric stress invariant for a peierls creep law.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/CreepLaw/PeierlsCreep.jl#L191-L197">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII!(τII::AbstractArray{_T,N}, s::ConstantElasticity{_T}. ε_el::AbstractArray{_T,N}; τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)</code></pre><p>In-place update of the elastic stress for given deviatoric strainrate invariants and stres invariant at the old (<code>τII_old</code>) timestep, as well as the timestep <code>dt</code>  </p><p class="math-container">\[    \tau_{II} = 2 G dt \dot{\varepsilon}^{el} + \tau_{II}^{old}\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Elasticity/Elasticity.jl#L168-L177">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../density/">« Density</a><a class="docs-footer-nextpage" href="../customrheology/">Custom rheology »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 28 October 2024 13:52">Monday 28 October 2024</span>. Using Julia version 1.10.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Custom rheology</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Custom rheology</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/customrheology.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="User-defined-rheology"><a class="docs-heading-anchor" href="#User-defined-rheology">User-defined rheology</a><a id="User-defined-rheology-1"></a><a class="docs-heading-anchor-permalink" href="#User-defined-rheology" title="Permalink"></a></h1><p><code>CustomRheology</code> allows the user to interface with <code>GeoParams.jl</code> API for rheology calculations: </p><pre><code class="language-julia hljs">struct CustomRheology{F1, F2, T} &lt;: AbstractCreepLaw
+    strain::F1
+    stress::F2
+    args::T
+end</code></pre><p>where <code>strain</code> and <code>stress</code> are functions that compute the strain rate and deviatoric stress tensors, respectively, and <code>args</code> is a <code>NamedTuple</code> containing any constant (i.e. <strong>immutable</strong>) physical parameters needed by our <code>CustomRheology</code>. </p><h2 id="Example:-Arrhenious-type-rheology"><a class="docs-heading-anchor" href="#Example:-Arrhenious-type-rheology">Example: Arrhenious-type rheology</a><a id="Example:-Arrhenious-type-rheology-1"></a><a class="docs-heading-anchor-permalink" href="#Example:-Arrhenious-type-rheology" title="Permalink"></a></h2><p>The deviatoric stress <span>$\tau_{ij}$</span> and strain rate tensors <span>$\dot{\varepsilon}_{ij}$</span> are simply <span>$\tau_{ij} = 2 \eta \dot{\varepsilon}_{ij}$</span> and <span>$\dot{\varepsilon}_{ij}  = {\tau_{ij}  \over 2 \eta}$</span></p><p>and the viscosity <span>$\eta$</span> is temperature-dependant     <span>$\eta = \eta_{0}  \exp\left(\frac{E}{T+T_{o}}-\frac{E}{T_{\eta}+T_{o}}\right)$</span></p><p>where <span>$\eta_0$</span> and <span>$T_{\eta}$</span> are the respective reference viscosity and temperature, <span>$T_o$</span> is the offset temperature, <span>$T$</span> is the local temperature, and <span>$E$</span> is activation energy. </p><p>Before defining the functions to compute <span>$\tau$</span> and <span>$\dot{\varepsilon}$</span>, it is convenient to define a helper function to compute the viscosity:</p><pre><code class="language-julia hljs">@inline function custom_viscosity(
+    a::CustomRheology; T = 0.0, kwargs...
+)
+    (; η0, E, To, Tη) = a.args
+    η = η0 * exp(E / (T + To) - E / (Tη + To))
+    return  η
+end</code></pre><p>Then we just need to define two simple functions to compue the second invariants of <span>$\tau_{ij}$</span> and <span>$\dot{\varepsilon}_{ij}$</span>:</p><pre><code class="language-julia hljs"># function to compute deviatoric stress
+@inline function custom_τII(
+    a::CustomRheology, EpsII; kwargs...
+)
+    η = custom_viscosity(a; kwargs...)
+    return 2.0 * (η * EpsII)
+end
+
+# function to compute strain rate
+@inline function custom_εII(
+    a::CustomRheology, TauII; kwargs...
+)
+    η = custom_viscosity(a; kwargs...)
+    return (TauII / η) * 0.5
+end</code></pre><p>Note that the key word argument <code>kwargs...</code> is needed in all the above functions for compatibility with <code>GeoParams.jl</code>. </p><p>Finally, we need a <code>NamedTuple</code> containing the physical parameters needed by <code>custom_τII</code> and <code>custom_εII</code>:</p><pre><code class="language-julia hljs"># constant parameters, these are typically wrapped into a struct (compulsory)
+parameters = (;
+    η0 = 1.0,
+    E = 23.03,
+    To = 1.0,
+    Tη = 1.0,
+)</code></pre><p>Then the <code>CustomRheology</code> object is created</p><pre><code class="language-julia hljs">a = CustomRheology(custom_εII, custom_τII, parameters)</code></pre><p>Now we can use our new rheology object with <code>GeoParams.jl</code> methods:</p><pre><code class="language-julia-repl hljs">julia&gt; args = (; T=0.5)
+(T = 0.5,)
+
+julia&gt; τII, εII = 1.5,  0.5
+(1.5, 0.5)
+
+julia&gt; ε = compute_εII(v, τII, args)
+0.016147090412110487
+
+julia&gt; τ = compute_τII(v, εII, args)
+46.44799656521971
+
+julia&gt; dεdτ = dεII_dτII(v, τII, args)
+0.010764726941406991
+
+julia&gt; dτdε = dτII_dεII(v, εII, args)
+92.89599313043942</code></pre><p>And also works for composite rheologies:</p><pre><code class="language-julia-repl hljs">julia&gt; el = ConstantElasticity(; G=1.0)
+Linear elasticity with shear modulus: G = 1.0, Poisson&#39;s ratio: ν = 0.5, bulk modulus: Kb = Inf and Young&#39;s module: E=NaN
+
+julia&gt; c = CompositeRheology(v, el)
+--?????----/\/\/--
+
+julia&gt; args = (; dt=Inf, T=0.5)
+(dt = Inf, T = 0.5)
+
+julia&gt; ε = compute_εII(c, τII, args)
+0.016147090412110487
+
+julia&gt; τ = compute_τII(c, εII, args)
+46.44799656521971</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../creeplaws/">« Creep laws</a><a class="docs-footer-nextpage" href="../viscosity/">Viscosity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 28 October 2024 13:52">Monday 28 October 2024</span>. Using Julia version 1.10.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Density · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li class="is-active"><a class="tocitem" href>Density</a><ul class="internal"><li><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Density</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Density</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/density.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Density"><a class="docs-heading-anchor" href="#Density">Density</a><a id="Density-1"></a><a class="docs-heading-anchor-permalink" href="#Density" title="Permalink"></a></h1><h2 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h2><p>The density equation of state can be specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.ConstantDensity" href="#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantDensity(ρ=2900kg/m^3)</code></pre><p>Set a constant density:</p><p class="math-container">\[    \rho  = cst\]</p><p>where <span>$\rho$</span> is the density [<span>$kg/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Density/Density.jl#L44-L52">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.PT_Density" href="#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)</code></pre><p>Set a pressure and temperature-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 (1.0 - \alpha (T-T_0) + \beta  (P-P_0) )\]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference temperature <span>$T_0$</span> and pressure <span>$P_0$</span>, <span>$\alpha$</span> is the temperature dependence of density and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Density/Density.jl#L87-L96">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.T_Density" href="#GeoParams.MaterialParameters.Density.T_Density"><code>GeoParams.MaterialParameters.Density.T_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Density(ρ0=2900kg/m^3, α=3e-5/K, T₀=273.15K)</code></pre><p>Set a temperature-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 (1 - \alpha * (T - T\_0) )\]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference temperature <span>$T_0$</span> and <span>$\alpha$</span> the temperature dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Density/Density.jl#L181-L189">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.Compressible_Density" href="#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)</code></pre><p>Set a pressure-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 \exp(β*(P - P\_0))\]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference pressure <span>$P_0$</span> and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Density/Density.jl#L137-L145">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.MeltDependent_Density" href="#GeoParams.MaterialParameters.Density.MeltDependent_Density"><code>GeoParams.MaterialParameters.Density.MeltDependent_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltDependent_Density(ρsolid=ConstantDensity(), ρmelt=ConstantDensity())</code></pre><p>If we use a single phase code the average density of a partially molten rock is</p><p class="math-container">\[    \rho  = \phi \rho_{\textrm{melt}} + (1-\phi) \rho_{\textrm{solid}}\]</p><p>where <span>$\rho$</span> is the average density [<span>$kg/m^3$</span>], <span>$\rho_{	extrm{melt}}$</span> the melt density, <span>$\rho_{	extrm{solid}}$</span> the solid density and <span>$\phi$</span> the melt fraction.</p><p>Note that any density formulation can be used for melt and solid.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Density/Density.jl#L225-L235">source</a></section></article><h2 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h2><p>To evaluate density within a user routine, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density" href="#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_density(P,T, s::PhaseDiagram_LookupTable)</code></pre><p>Interpolates density as a function of <code>T,P</code> from a lookup table</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Density/Density.jl#L308-L311">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density!" href="#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I&lt;:Integer}</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; MatParam = (SetMaterialParams(Name=&quot;Mantle&quot;, Phase=1,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                        Density   = PT_Density()
+                        ),
+                    SetMaterialParams(Name=&quot;Crust&quot;, Phase=2,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),
+                        Density   = ConstantDensity(ρ=2900kg/m^3))
+                  );
+julia&gt; Phases = ones(Int64,400,400);
+julia&gt; Phases[:,20:end] .= 2
+julia&gt; rho     = zeros(size(Phases))
+julia&gt; T       =  ones(size(Phases))
+julia&gt; P       =  ones(size(Phases))*10
+julia&gt; args = (P=P, T=T)
+julia&gt; compute_density!(rho, MatParam, Phases, args)
+julia&gt; rho
+400×400 Matrix{Float64}:
+2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0</code></pre><p>The routine is made to minimize allocations:</p><pre><code class="language-julia hljs">julia&gt; using BenchmarkTools
+julia&gt; @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)
+    203.468 μs (0 allocations: 0 bytes)</code></pre><p>_____________________________________________________________________________________________________________________________</p><pre><code class="nohighlight hljs">compute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Density/Density.jl#L331-L396">source</a></section></article><p>Note that density values are usually not used in itself in the governing PDE&#39;s, but usually in combination with other parameters, such as <span>$\rho g$</span> or <span>$\rho c_p$</span>. the non-dimensional value of <span>$\rho$</span> may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../materialparameters/">« Material Parameters</a><a class="docs-footer-nextpage" href="../creeplaws/">Creep laws »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 28 October 2024 13:52">Monday 28 October 2024</span>. Using Julia version 1.10.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/dev/man/elasticity/index.html b/dev/man/elasticity/index.html
new file mode 100644
index 000000000..66b11732b
--- /dev/null
+++ b/dev/man/elasticity/index.html
@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Elasticity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script><link href="../../assets/favicon.ico" rel="icon" type="image/x-icon"/></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li class="is-active"><a class="tocitem" href>Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Elasticity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Elasticity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/elasticity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Elasticity"><a class="docs-heading-anchor" href="#Elasticity">Elasticity</a><a id="Elasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Elasticity" title="Permalink"></a></h1><p>Elasticity is, in geodynamics, often used in combination with viscous and plastic rheology. We provide the following elastic constitutive relationships:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantElasticity(G, ν, K, E)</code></pre><p>Structure that holds parameters for constant, isotropic, linear elasticity.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Elasticity/Elasticity.jl#L29-L33">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetConstantElasticity(; G=nothing, ν=nothing, E=nothing, Kb=nothing)</code></pre><p>This allows setting elastic parameters by specifying 2 out of the 4 elastic parameters <code>G</code> (Elastic shear modulus), <code>ν</code> (Poisson&#39;s ratio), <code>E</code> (Young&#39;s modulus), or <code>Kb</code> (bulk modulus).</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Elasticity/Elasticity.jl#L45-L49">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../viscosity/">« Viscosity</a><a class="docs-footer-nextpage" href="../plasticity/">Plasticity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 28 October 2024 13:52">Monday 28 October 2024</span>. Using Julia version 1.10.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/dev/man/geounit/index.html b/dev/man/geounit/index.html
new file mode 100644
index 000000000..6fa713ded
--- /dev/null
+++ b/dev/man/geounit/index.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>GeoUnit · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script><link href="../../assets/favicon.ico" rel="icon" type="image/x-icon"/></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li class="is-active"><a class="tocitem" href>GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>GeoUnit</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>GeoUnit</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/geounit.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="GeoUnit"><a class="docs-heading-anchor" href="#GeoUnit"><code>GeoUnit</code></a><a id="GeoUnit-1"></a><a class="docs-heading-anchor-permalink" href="#GeoUnit" title="Permalink"></a></h1><p>Most parameters have physical units (100km, 9.81 ms⁻²). Yet, within numerical solvers it is usually not a good idea to compute with the actual SI units as they (at least in geosciences) tend to result in very large/small numbers, which can cause in roundoff errors.  Therefore, we usually convert the dimensional units into non-dimensional ones befeore starting computations. The results can than be converted back to more convenient units for us when we generate the output (plots, for example).</p><p>This requires a way to store the dimensions of a parameter, but also, once they are made nondimensional, the original units (otherwise we can&#39;t convert them back to dimensional values).</p><p>For that reason, we use the <code>GeoUnit</code> structure, defined as </p><pre><code class="language-julia hljs">struct GeoUnit{T,U}
+    val          :: T
+    unit         :: U
+    isdimensional:: Bool
+end</code></pre><p>You can define a GeoUnit as:</p><pre><code class="language-julia hljs">julia&gt; a = GeoUnit(100km)
+GeoUnit{dimensional, km}, 
+100.0
+julia&gt; b=GeoUnit(100s)
+GeoUnit{dimensional, s}, 
+100.0</code></pre><p>Dividing the two gives the expected result</p><pre><code class="language-julia hljs">julia&gt; c=a/b
+GeoUnit{dimensional, km s⁻¹·⁰}, 
+1.0</code></pre><p>Can also be a vector:</p><pre><code class="language-julia hljs">julia&gt; T = GeoUnit(100K:10.0K:1000K)
+GeoUnit{dimensional, K}, 
+100.0:10.0:1000.0</code></pre><p>The numerical value is obtained with:</p><pre><code class="language-julia hljs">julia&gt; NumValue(c)
+1.0</code></pre><p>It&#39;s unit with</p><pre><code class="language-julia hljs">julia&gt; Unit(c)
+km s⁻¹·⁰</code></pre><p>and the value with unit with</p><pre><code class="language-julia hljs">julia&gt; Value(c)
+1.0 km s⁻¹·⁰</code></pre><p>If you multiply or divide a <code>GeoUnit</code> with a normal number, we assume that you are no longer interested in the units and you&#39;ll get a Float64:</p><pre><code class="language-julia hljs">julia&gt; c*100
+100.0</code></pre><p>The value of the <code>GeoUnit</code> struct becomes clear once we non-dimensionalize it (as explained in more detail in a separate page). For that, first specify which characteristic values you want to use for non-dimensionalisation: </p><pre><code class="language-julia hljs">julia&gt; CharDim = GEO_units(length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas);</code></pre><p>Let&#39;s define a stress:</p><pre><code class="language-julia hljs">julia&gt; σ=GeoUnit(10MPa)
+GeoUnit{dimensional, MPa}, 
+10.0</code></pre><p>And transfer it to nondimensional units:</p><pre><code class="language-julia hljs">julia&gt; σ_nd = nondimensionalize(σ,CharDim)
+GeoUnit{nondimensional, MPa}, 
+0.9999999999999998</code></pre><p>Instead of 1e7 Pa, we now have 1.0; yet at the same time we know that the original unit of σ_nd was in MPa, which allows to transfer it back to dimensional units:</p><pre><code class="language-julia hljs">julia&gt; dimensionalize(σ_nd,CharDim)
+GeoUnit{dimensional, MPa}, 
+10.0</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../">« Home</a><a class="docs-footer-nextpage" href="../nondimensionalize/">Nondimensionalization »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 28 October 2024 13:52">Monday 28 October 2024</span>. Using Julia version 1.10.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/dev/man/gravity/index.html b/dev/man/gravity/index.html
new file mode 100644
index 000000000..493c8681b
--- /dev/null
+++ b/dev/man/gravity/index.html
@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Gravity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script><link href="../../assets/favicon.ico" rel="icon" type="image/x-icon"/></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li class="is-active"><a class="tocitem" href>Gravity</a><ul class="internal"><li><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Gravity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Gravity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/gravity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Gravitational-acceleration"><a class="docs-heading-anchor" href="#Gravitational-acceleration">Gravitational acceleration</a><a id="Gravitational-acceleration-1"></a><a class="docs-heading-anchor-permalink" href="#Gravitational-acceleration" title="Permalink"></a></h1><h2 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h2><p>Gravitational acceleration is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">GravityConstant(g=9.81m/s^2)</code></pre><p>Set a constant value for the gravitational acceleration:</p><p class="math-container">\[    g  = 9.81 m s^{-2}\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/GravitationalAcceleration/GravitationalAcceleration.jl#L18-L25">source</a></section></article><h2 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h2><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a> — <span class="docstring-category">Function</span></header><section><div><p>compute_gravity(s:&lt;AbstractGravity)</p><p>Returns the gravitational acceleration </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/GravitationalAcceleration/GravitationalAcceleration.jl#L61-L66">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../shearheating/">« Shear heating</a><a class="docs-footer-nextpage" href="../melting/">Partial Melting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 28 October 2024 13:52">Monday 28 October 2024</span>. Using Julia version 1.10.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/dev/man/heatcapacity/index.html b/dev/man/heatcapacity/index.html
new file mode 100644
index 000000000..9977c8b7f
--- /dev/null
+++ b/dev/man/heatcapacity/index.html
@@ -0,0 +1,18 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Heat Capacity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script><link href="../../assets/favicon.ico" rel="icon" type="image/x-icon"/></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li class="is-active"><a class="tocitem" href>Heat Capacity</a><ul class="internal"><li><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Heat Capacity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Heat Capacity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/heatcapacity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Heat-capacity"><a class="docs-heading-anchor" href="#Heat-capacity">Heat capacity</a><a id="Heat-capacity-1"></a><a class="docs-heading-anchor-permalink" href="#Heat-capacity" title="Permalink"></a></h1><h2 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h2><p>Heat capacity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity" href="#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantHeatCapacity(Cp=1050J/mol/kg)</code></pre><p>Set a constant heat capacity:</p><p class="math-container">\[    Cp  = cst\]</p><p>where <span>$Cp$</span> is the thermal heat capacity [<span>$J/kg/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Energy/HeatCapacity.jl#L28-L36">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington" href="#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_HeatCapacity_Whittington()</code></pre><p>Sets a temperature-dependent heat capacity following the parameterization of Whittington et al. (2009), Nature:</p><p class="math-container">\[    Cp = (a + b T - c/T^2)/m\]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/kg/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <span>$T$</span> [<span>$K$</span>]:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>molmass =   0.22178kg/mol</li></ul><p>Note that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than <span>$J/mol/K$</span> as in eq.3/4 of the paper)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Energy/HeatCapacity.jl#L59-L77">source</a></section></article><h2 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h2><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_heatcapacity(a::Vector_HeatCapacity; index::Int64, kwargs...)</code></pre><p>Pointwise calculation of heat capacity from a vector where <code>index</code> is the index of the point</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Energy/HeatCapacity.jl#L182-L186">source</a></section><section><div><pre><code class="nohighlight hljs">Cp = compute_heatcapacity(s:&lt;AbstractHeatCapacity, P, T)</code></pre><p>Returns the heat capacity <code>Cp</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the heat capacity laws implemented.</p><p>Currently available:</p><ul><li>ConstantHeatCapacity</li><li>T_HeatCapacity_Whittington</li><li>Latent_HeatCapacity</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia hljs">julia&gt; T = 250.0:100:1250
+julia&gt; Cp2 = T_HeatCapacity_Whittington()
+julia&gt; Cp = similar(T)
+julia&gt; args = (; T=T)
+julia&gt; Cp =compute_heatcapacity!(Cp, Cp2, args)
+11-element Vector nitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:
+635.4269997294616 J kg⁻¹ K⁻¹
+850.7470171764261 J kg⁻¹ K⁻¹
+962.0959598489883 J kg⁻¹ K⁻¹
+1037.542043377064 J kg⁻¹ K⁻¹
+1097.351792196648 J kg⁻¹ K⁻¹
+1149.274556367170 J kg⁻¹ K⁻¹
+1157.791505094840 J kg⁻¹ K⁻¹
+1172.355487419726 J kg⁻¹ K⁻¹
+1186.919469744596 J kg⁻¹ K⁻¹
+1201.483452069455 J kg⁻¹ K⁻¹
+1216.0474343943067 J kg⁻¹ K⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Energy/HeatCapacity.jl#L236-L269">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_heatcapacity!(Cp::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat})</code></pre><p>In-place computation of heat capacity <code>Cp</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Energy/HeatCapacity.jl#L291-L296">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plasticity/">« Plasticity</a><a class="docs-footer-nextpage" href="../conductivity/">Conductivity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 28 October 2024 13:52">Monday 28 October 2024</span>. Using Julia version 1.10.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/dev/man/latentheat/index.html b/dev/man/latentheat/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Latent heat · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script><link href="../../assets/favicon.ico" rel="icon" type="image/x-icon"/></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li class="is-active"><a class="tocitem" href>Latent heat</a><ul class="internal"><li><a class="tocitem" href="#Methods"><span>Methods</span></a></li></ul></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Latent heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Latent heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/latentheat.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Latent-heat"><a class="docs-heading-anchor" href="#Latent-heat">Latent heat</a><a id="Latent-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Latent-heat" title="Permalink"></a></h1><h2 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h2><p>Latent heat (of crystallisation) can be implemented as a source term (usually numerically not very stable):</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat" href="#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantLatentHeat(Q_L=400kJ/kg)</code></pre><p>Set a constant latent heat:</p><p class="math-container">\[    Q_L  = cst\]</p><p>where <span>$Q_L$</span> is the latent heat [<span>$J/kg$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Energy/LatentHeat.jl#L27-L35">source</a></section></article><p>Alternatively, you can implement it by modifying the heat capacity, which is often numerically better.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.Latent_HeatCapacity" href="#GeoParams.MaterialParameters.HeatCapacity.Latent_HeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.Latent_HeatCapacity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Latent_HeatCapacity(Cp=ConstantHeatCapacity(), Q_L=400kJ/kg)</code></pre><p>This takes the effects of latent heat into account by modifying the heat capacity in the temperature equation:</p><p class="math-container">\[\rho C_p^{\textrm{new}} \frac{\partial T}{\partial t}  = \frac{\partial }{\partial x_i} \left( k \frac{\partial T}{\partial x_i} \right)  + H_s\]</p><p>with</p><p class="math-container">\[C_p^{\textrm{new}}  = C_p + \frac{\partial \phi}{\partial T} Q_L\]</p><p>where <span>$Q_L$</span> is the latent heat [<span>$J/kg$</span>], and <span>$\frac{\partial \phi}{\partial T}$</span> is the derivative of the melt fraction with respect to temperature</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Energy/HeatCapacity.jl#L118-L133">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../conductivity/">« Conductivity</a><a class="docs-footer-nextpage" href="../radioactiveheating/">Radioactive heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 28 October 2024 13:52">Monday 28 October 2024</span>. Using Julia version 1.10.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/dev/man/listfunctions/index.html b/dev/man/listfunctions/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>List of functions · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script><link href="../../assets/favicon.ico" rel="icon" type="image/x-icon"/></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li class="is-active"><a class="tocitem" href>List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>List of functions</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>List of functions</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/listfunctions.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="List-of-all-functions"><a class="docs-heading-anchor" href="#List-of-all-functions">List of all functions</a><a id="List-of-all-functions-1"></a><a class="docs-heading-anchor-permalink" href="#List-of-all-functions" title="Permalink"></a></h1><p>This page details the some of the guidelines that should be followed when contributing to this package.</p><ul><li><a href="../nondimensionalize/#GeoParams.Units"><code>GeoParams.Units</code></a></li><li><a href="../strengthenvelope/#GeoParams.ConstTemp"><code>GeoParams.ConstTemp</code></a></li><li><a href="../strengthenvelope/#GeoParams.HalfspaceCoolTemp"><code>GeoParams.HalfspaceCoolTemp</code></a></li><li><a href="../strengthenvelope/#GeoParams.LinTemp"><code>GeoParams.LinTemp</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep</code></a></li><li><a href="../plasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.DruckerPrager"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DruckerPrager</code></a></li><li><a href="../plasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.DruckerPrager_regularised"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DruckerPrager_regularised</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.MeltDependent_Density"><code>GeoParams.MaterialParameters.Density.MeltDependent_Density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.T_Density"><code>GeoParams.MaterialParameters.Density.T_Density</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a></li><li><a href="../latentheat/#GeoParams.MaterialParameters.HeatCapacity.Latent_HeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.Latent_HeatCapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington</code></a></li><li><a href="../latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a></li><li><a href="../phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_4thOrder"><code>GeoParams.MeltingParam.MeltingParam_4thOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_5thOrder"><code>GeoParams.MeltingParam.MeltingParam_5thOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Assimilation"><code>GeoParams.MeltingParam.MeltingParam_Assimilation</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Quadratic"><code>GeoParams.MeltingParam.MeltingParam_Quadratic</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Smooth3rdOrder"><code>GeoParams.MeltingParam.MeltingParam_Smooth3rdOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.SmoothMelting"><code>GeoParams.MeltingParam.SmoothMelting</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.TASclassificationData"><code>GeoParams.TASclassification.TASclassificationData</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.ZirconAgeData"><code>GeoParams.ZirconAges.ZirconAgeData</code></a></li><li><a href="../strengthenvelope/#GeoParams.CompTempStruct"><code>GeoParams.CompTempStruct</code></a></li><li><a href="../strengthenvelope/#GeoParams.LithPres"><code>GeoParams.LithPres</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_dϕdT"><code>GeoParams.MeltingParam.compute_dϕdT</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_dϕdT!"><code>GeoParams.MeltingParam.compute_dϕdT!</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a></li><li><a href="../phasediagrams/#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a></li><li><a href="../strengthenvelope/#GeoParams.StrengthEnvelopeComp"><code>GeoParams.StrengthEnvelopeComp</code></a></li><li><a href="../strengthenvelope/#GeoParams.StrengthEnvelopePlot"><code>GeoParams.StrengthEnvelopePlot</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.computeTASclassification"><code>GeoParams.TASclassification.computeTASclassification</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.retrieveTASrockType"><code>GeoParams.TASclassification.retrieveTASrockType</code></a></li><li><a href="../tables/#GeoParams.Tables.Dict2LatexTable"><code>GeoParams.Tables.Dict2LatexTable</code></a></li><li><a href="../tables/#GeoParams.Tables.Dict2MarkdownTable"><code>GeoParams.Tables.Dict2MarkdownTable</code></a></li><li><a href="../tables/#GeoParams.Tables.ParameterTable"><code>GeoParams.Tables.ParameterTable</code></a></li><li><a href="../tables/#GeoParams.Tables.Phase2Dict"><code>GeoParams.Tables.Phase2Dict</code></a></li><li><a href="../tables/#GeoParams.Tables.Phase2DictMd"><code>GeoParams.Tables.Phase2DictMd</code></a></li><li><a href="../tables/#GeoParams.Tables.detachFloatfromExponent"><code>GeoParams.Tables.detachFloatfromExponent</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.compute_zircon_age_PDF"><code>GeoParams.ZirconAges.compute_zircon_age_PDF</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.compute_zircons_Ttpath"><code>GeoParams.ZirconAges.compute_zircons_Ttpath</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.zircon_age_PDF"><code>GeoParams.ZirconAges.zircon_age_PDF</code></a></li><li><a href="../viscosity/#GeoParams.compute_viscosity_εII"><code>GeoParams.compute_viscosity_εII</code></a></li><li><a href="../viscosity/#GeoParams.compute_viscosity_τII"><code>GeoParams.compute_viscosity_τII</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a></li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plotting/">« Plotting</a><a class="docs-footer-nextpage" href="../contributing/">Contributing »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p 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Using Julia version 1.10.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/dev/man/materialparameters/index.html b/dev/man/materialparameters/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Material Parameters · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script><link href="../../assets/favicon.ico" rel="icon" type="image/x-icon"/></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li class="is-active"><a class="tocitem" href>Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Material Parameters</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Material Parameters</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/materialparameters.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="MaterialParameters"><a class="docs-heading-anchor" href="#MaterialParameters">MaterialParameters</a><a id="MaterialParameters-1"></a><a class="docs-heading-anchor-permalink" href="#MaterialParameters" title="Permalink"></a></h1><p>Material properties for a given phase can be set with <code>SetMaterialParams</code>, whereas all properties are  stored in the <code>MaterialParams</code> structure. Information about the material parameter is found at <code>MaterialParamsInfo</code>. This can be employed </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParamsInfo" href="#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MaterialParamsInfo</code></pre><p>Structure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.</p><p>Usually used in combination with <code>param_info(the_parameter_of_interest)</code></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/MaterialParameters.jl#L25-L33">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SetMaterialParams" href="#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetMaterialParams(; Name::String=&quot;&quot;, Phase::Int64=1,
+                    Density             =   nothing,
+                    Gravity             =   nothing,
+                    CreepLaws           =   nothing,
+                    Elasticity          =   nothing,
+                    Plasticity          =   nothing,
+                    CompositeRheology   =   nothing,
+                    Conductivity        =   nothing,
+                    HeatCapacity        =   nothing,
+                    RadioactiveHeat     =   nothing,
+                    LatentHeat          =   nothing,
+                    ShearHeat           =   nothing,
+                    Permeability        =   nothing,
+                    Melting             =   nothing,
+                    SeismicVelocity     =   nothing,
+                    CharDim::GeoUnits   =   nothing)</code></pre><p>Sets material parameters for a given phase.</p><p>If <code>CharDim</code> is specified the input parameters are non-dimensionalized. Note that if <code>Density</code> is specified, we also set <code>Gravity</code> even if not explicitly listed</p><p><strong>Examples</strong></p><p>Define two viscous creep laws &amp; constant density:</p><pre><code class="language-julia-repl hljs">julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;,
+                       Density   = ConstantDensity(),
+                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))
+Phase 1 : Viscous Matrix
+        | [dimensional units]
+        |
+        |-- Density           : Constant density: ρ=2900 kg m⁻³
+        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻²
+        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹
+        |                       Linear viscosity: η=1.0e21 Pa s</code></pre><p>Define two viscous creep laws &amp; P/T dependent density and nondimensionalize</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);
+julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;, Phase=33,
+                              Density   = PT_Density(),
+                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),
+                              CharDim   = CharUnits_GEO)
+Phase 33: Viscous Matrix
+        | [non-dimensional units]
+        |
+        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0
+        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18
+        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001
+        |                       Linear viscosity: η=10000.0</code></pre><p>You can also create an array that holds several parameters:</p><pre><code class="language-julia-repl hljs">julia&gt; MatParam        =   Array{MaterialParams, 1}(undef, 2);
+julia&gt; Phase           =   1;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Upper Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                            Density  = ConstantDensity(ρ=2900kg/m^3));
+julia&gt; Phase           =   2;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Lower Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),
+                            Density  = PT_Density(ρ0=3000kg/m^3));
+julia&gt; MatParam
+2-element Vector{MaterialParams}:
+ Phase 1 : Upper Crust
+    | [dimensional units]
+    |
+    |-- Density           : Constant density: ρ=2900 kg m⁻³
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻²
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹
+    |                       Linear viscosity: η=1.0e23 Pa s
+
+ Phase 2 : Lower Crust
+    | [dimensional units]
+    |
+    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻²
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹
+    |                       Linear viscosity: η=1.0e21 Pa s</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/MaterialParameters.jl#L101-L187">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParams" href="#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MaterialParams</code></pre><p>Structure that holds all material parameters for a given phase</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/MaterialParameters.jl#L60-L65">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../nondimensionalize/">« Nondimensionalization</a><a class="docs-footer-nextpage" href="../density/">Density »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 28 October 2024 13:52">Monday 28 October 2024</span>. Using Julia version 1.10.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/dev/man/melting/index.html b/dev/man/melting/index.html
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+<!DOCTYPE html>
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href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/melting.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Melting-Parameterizations"><a class="docs-heading-anchor" href="#Melting-Parameterizations">Melting Parameterizations</a><a id="Melting-Parameterizations-1"></a><a class="docs-heading-anchor-permalink" href="#Melting-Parameterizations" title="Permalink"></a></h1><h2 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h2><p>A number of melting parameterisations are implemented, which can be set with:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Caricchi" href="#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Caricchi()</code></pre><p>Implements the T-dependent melting parameterisation used by Caricchi, Simpson et al. (as for example described in Simpson)</p><p class="math-container">\[    \theta = {(a - (T + c)) \over b}\]</p><p class="math-container">\[    \phi_{melt} = {1.0 \over (1.0 + e^\theta)}\]</p><p>Note that T is in Kelvin. As default parameters we employ:</p><p class="math-container">\[b=23K,  a=800K , c=273.15K\]</p><p>Which gives a reasonable fit to experimental data of granodioritic composition (Piwinskii and Wyllie, 1968):</p><p><img src="../assets/img/MeltingParam_Caricchi.png" alt="MeltParam_Carrichi"/></p><p><strong>References</strong></p><ul><li>Simpson G. (2017) Practical finite element modelling in Earth Sciences Using MATLAB.</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/MeltFraction/MeltingParameterization.jl#L35-L57">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Smooth3rdOrder" href="#GeoParams.MeltingParam.MeltingParam_Smooth3rdOrder"><code>GeoParams.MeltingParam.MeltingParam_Smooth3rdOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Smooth3rdOrder()</code></pre><p>Implements the a smooth 3rd order T-dependent melting parameterisation (as used by Melnik and coworkers)</p><p class="math-container">\[    x = {  (T - 273.15) \over 1000.0}\]</p><p class="math-container">\[    \theta = { a + b * x + c * x^2 + d * x^3}\]</p><p class="math-container">\[    \phi_{melt} = {1.0 \over (1.0 + e^\theta)}\]</p><p>Note that T is in Kelvin.</p><p>As default parameters we employ:</p><p class="math-container">\[a=517.9,  b=-1619.0, c=1699.0, d = -597.4\]</p><p>which gives a reasonable fit to experimental data for basalt.</p><p>Data for rhyolite are:</p><p class="math-container">\[a=3043.0,  b=-10552.0, c=12204.9, d = -4709.0\]</p><p><img src="../assets/img/MeltingParam_Melnik.png" alt="MeltingParam_Smooth3rdOrder"/> Red: Rhyolite, Blue: Basalt</p><p><strong>References</strong></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/MeltFraction/MeltingParameterization.jl#L95-L126">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_5thOrder" href="#GeoParams.MeltingParam.MeltingParam_5thOrder"><code>GeoParams.MeltingParam.MeltingParam_5thOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_5thOrder(a,b,c,d,e,f,T_s,T_l)</code></pre><p>Uses a 5th order polynomial to describe the melt fraction <code>phi</code> between solidus temperature <code>T_s</code> and liquidus temperature <code>T_l</code></p><p class="math-container">\[    \phi = a T^5 + b T^4 + c T^3 + d T^2 + e T + f  \textrm{   for   } T_s ≤ T ≤ T_l\]</p><p class="math-container">\[    \phi = 1  \textrm{   if   } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0  \textrm{   if   } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_5thorder.png" alt="MeltingParam_5thOrder"/></p><p>The default values are for a composite liquid-line-of-descent:</p><ul><li>the upper part is for Andesite from: (Blatter, D. L. &amp; Carmichael, I. S. (2001) Hydrous phase equilibria of a Mexican highsilica andesite: a candidate for a mantle origin? Geochim. Cosmochim. Acta 65, 4043–4065</li><li>the lower part is extrapolated to the granitic minimum using the Marxer &amp; Ulmer LLD for Andesite (Marxer, F. &amp; Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. <em>Contributions Mineral. Petrol.</em> 174, 84)</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/MeltFraction/MeltingParameterization.jl#L176-L197">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_4thOrder" href="#GeoParams.MeltingParam.MeltingParam_4thOrder"><code>GeoParams.MeltingParam.MeltingParam_4thOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_4thOrder(b,c,d,e,f,T_s,T_l)</code></pre><p>Uses a 4th order polynomial to describe the melt fraction <code>phi</code> between solidus temperature <code>T_s</code> and liquidus temperature <code>T_l</code></p><p class="math-container">\[    \phi = b T^4 + c T^3 + d T^2 + e T + f  \textrm{   for   } T_s ≤ T ≤ T_l\]</p><p class="math-container">\[    \phi = 1 \textrm{   if   } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0  \textrm{   if   } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_4thorder.png" alt="MeltingParam_4thOrder"/></p><p>The default values are for Tonalite experiments from Marxer and Ulmer (2019):</p><ul><li>Marxer, F. &amp; Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. <em>Contributions Mineral. Petrol.</em> 174, 84</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/MeltFraction/MeltingParameterization.jl#L258-L278">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Quadratic" href="#GeoParams.MeltingParam.MeltingParam_Quadratic"><code>GeoParams.MeltingParam.MeltingParam_Quadratic</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Quadratic(T_s,T_l)</code></pre><p>Quadratic melt fraction parameterisation where melt fraction <span>$\phi$</span> depends only on solidus (<span>$T_s$</span>) and liquidus (<span>$T_l$</span>) temperature:</p><p class="math-container">\[    \phi = 1.0 - \left( {T_l - T} \over {T_l - T_s} \right)^2\]</p><p class="math-container">\[    \phi = 1.0 \textrm{ if } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0.0 \textrm{ if } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_Quadratic.png" alt="MeltingParam_Quadratic"/></p><p>This was used, among others, in Tierney et al. (2016) Geology</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/MeltFraction/MeltingParameterization.jl#L343-L362">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Assimilation" href="#GeoParams.MeltingParam.MeltingParam_Assimilation"><code>GeoParams.MeltingParam.MeltingParam_Assimilation</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Assimilation(T_s,T_l,a)</code></pre><p>Melt fraction parameterisation that takes the assimilation of crustal host rocks into account, as used by Tierney et al. (2016) based upon a parameterisation of Spera and Bohrson (2001)</p><p>Here, the fraction of molten and assimilated host rocks <span>$\phi$</span> depends on the solidus (<span>$T_s$</span>) and liquidus (<span>$T_l$</span>) temperatures of the rocks, as well as on a parameter <span>$a=0.005$</span></p><p class="math-container">\[    X = \left( {T - T_s} \over {T_l - T_s} \right)\]</p><p class="math-container">\[    \phi = a \cdot \left( \exp^{2ln(100)X} - 1.0 \right) \textrm{ if } X ≤ 0.5\]</p><p class="math-container">\[    \phi = 1- a \cdot \exp^{2ln(100)(1-X)}  \textrm{ if } X &gt; 0.5\]</p><p class="math-container">\[    \phi = 1.0 \textrm{ if } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0.0 \textrm{ if } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_Assimilation.png" alt="MeltingParam_Assimilation"/></p><p>This was used, among others, in Tierney et al. (2016), who employed as default parameters:</p><p class="math-container">\[   T_s=973.15, T_l=1173.15, a=0.005\]</p><p><strong>References</strong></p><ul><li>Spera, F.J., and Bohrson, W.A., 2001, Energy-Constrained Open-System Magmatic Processes I: General Model and Energy-Constrained Assimilation and Fractional Crystallization (EC- AFC) Formulation: Journal of Petrology, v. 42, p. 999–1018.</li><li>Tierney, C.R., Schmitt, A.K., Lovera, O.M., de Silva, S.L., 2016. Voluminous plutonism during volcanic quiescence revealed by thermochemical modeling of zircon. Geology 44, 683–686. https://doi.org/10.1130/G37968.1</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/MeltFraction/MeltingParameterization.jl#L409-L444">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.SmoothMelting" href="#GeoParams.MeltingParam.SmoothMelting"><code>GeoParams.MeltingParam.SmoothMelting</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">SmoothMelting(; p=MeltingParam_4thOrder(), k_sol=0.2/K,  k_liq=0.2/K)</code></pre><p>This smoothens the melting parameterisation <span>$p$</span> around the solidus <span>$T_{sol}$</span> and liquidus <span>$T_{liq}$</span> using a smoothened Heaviside step functions for the solidus:</p><p class="math-container">\[    H_{sol} =  {1.0 \over { 1 + \exp( -2 k_{sol} (T - T_{sol} - {2 \over k_{sol}}) )  }}\]</p><p>and liquidus:</p><p class="math-container">\[    H_{liq} =  1.0 - {1.0 \over { 1 + \exp( -2 k_{liq} (T - T_{liq} + {2 \over k_{liq}}) )  }}\]</p><p>The resulting melt fraction <span>$\phi$</span> is computed from the original melt fraction <span>$\phi_0$</span> (computed using one of the methods above) as:</p><p class="math-container">\[    \phi =  \phi_0 H_{sol} H_{liq} + 1.0 - H_{liq}\]</p><p>The width of the smoothening zones is controlled by <span>$k_{sol}, k_{liq}$</span> (larger values = sharper boundary).</p><p>This is important, as jumps in the derivative <span>$dϕ/dT$</span> can cause numerical instabilities in latent heat computations, which is prevented with this smoothening.</p><p><strong>Example</strong></p><p>Let&#39;s consider a 4th order parameterisation:</p><pre><code class="language-julia hljs">julia&gt; using GLMakie, GeoParams
+julia&gt; p = MeltingParam_4thOrder();
+julia&gt; T= collect(650.0:1:1050.) .+ 273.15;
+julia&gt; T,phi,dϕdT =  PlotMeltFraction(p,T=T);</code></pre><p>The same but with smoothening:</p><pre><code class="language-julia hljs">julia&gt; p_s = SmoothMelting(p=MeltingParam_4thOrder(), k_liq=0.21/K);
+4th order polynomial melting curve: phi = -7.594512597174117e-10T^4 + 3.469192091489447e-6T^3 + -0.00592352980926T^2 + 4.482855645604745T + -1268.730161921053  963.15 K ≤ T ≤ 1270.15 K with smooth Heaviside function smoothening using k_sol=0.1 K⁻¹·⁰, k_liq=0.11 K⁻¹·⁰
+julia&gt; T_s,phi_s,dϕdT_s =  PlotMeltFraction(p_s,T=T);</code></pre><p>We can create plots of this with:</p><pre><code class="language-julia hljs">julia&gt; plt1 = plot(T.-273.15, phi, ylabel=&quot;Melt Fraction ϕ&quot;, color=:red, label=&quot;original&quot;, xlabel=&quot;Temperature [C]&quot;)
+julia&gt; plt1 = plot(plt1, T.-273.15, phi_s,  color=:black, label=&quot;smoothened&quot;, legend=:bottomright)
+julia&gt; plt2 = plot(T.-273.15, dϕdT, ylabel=&quot;dϕ/dT&quot;, color=:red, label=&quot;original&quot;, xlabel=&quot;Temperature [C]&quot;)
+julia&gt; plt2 = plot(plt2, T.-273.15, dϕdT_s,  color=:black, label=&quot;smoothened&quot;, legend=:topright)
+julia&gt; plot!(plt1,plt2,   xlabel=&quot;Temperature [C]&quot;, layout=(2,1))</code></pre><p>The derivative no longer has a jump now:</p><p><img src="../assets/img/MeltingParam_Smooth.png" alt="MeltingParam_Smooth"/></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/MeltFraction/MeltingParameterization.jl#L549-L600">source</a></section></article><h2 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h2><p>To compute the melt fraction at given <code>T</code> and <code>P</code>, use:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction!" href="#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_meltfraction!(ϕ::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T:AbstractArray{&lt;:AbstractFloat}, p::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/MeltFraction/MeltingParameterization.jl#L682-L686">source</a></section><section><div><pre><code class="nohighlight hljs">compute_meltfraction(ϕ::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/MeltFraction/MeltingParameterization.jl#L772-L776">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction" href="#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_meltfraction(P,T, p::AbstractPhaseDiagramsStruct)</code></pre><p>Computes melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/MeltFraction/MeltingParameterization.jl#L670-L674">source</a></section><section><div><pre><code class="nohighlight hljs">ϕ = compute_meltfraction(Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/MeltFraction/MeltingParameterization.jl#L764-L768">source</a></section></article><p>You can also obtain the derivative of melt fraction versus temperature with (useful to compute latent heat effects):</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_dϕdT!" href="#GeoParams.MeltingParam.compute_dϕdT!"><code>GeoParams.MeltingParam.compute_dϕdT!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_dϕdT!(ϕ::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computates the derivative of melt fraction <code>ϕ</code> versus temperature <code>T</code>, <span>${\partial \phi} \over {\partial T}$</span> for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This is employed, for example, in computing latent heat terms in an implicit manner.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/MeltFraction/MeltingParameterization.jl#L797-L802">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_dϕdT" href="#GeoParams.MeltingParam.compute_dϕdT"><code>GeoParams.MeltingParam.compute_dϕdT</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_dϕdT(P,T, p::AbstractPhaseDiagramsStruct)</code></pre><p>Computes derivative of melt fraction vs T in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified. The derivative is computed by finite differencing.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/MeltFraction/MeltingParameterization.jl#L689-L694">source</a></section><section><div><pre><code class="nohighlight hljs">ϕ = compute_dϕdT(Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computates the derivative of melt fraction ϕ versus temperature <code>T</code> for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This is employed in computing latent heat terms in an implicit manner, for example</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/MeltFraction/MeltingParameterization.jl#L789-L794">source</a></section></article><p>Also note that phase diagrams can be imported using <code>PerpleX_LaMEM_Diagram</code>, which may also have melt content information. The computational routines work with that as well.</p><h1 id="Plotting-routines"><a class="docs-heading-anchor" href="#Plotting-routines">Plotting routines</a><a id="Plotting-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting-routines" title="Permalink"></a></h1><p>You can use the routine <code>PlotMeltFraction</code> to create a plot, provided that the <code>GLMakie</code> package has been loaded</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotMeltFraction</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../gravity/">« Gravity</a><a class="docs-footer-nextpage" href="../TASclassification/">TAS classification »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 28 October 2024 13:52">Monday 28 October 2024</span>. 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Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Nondimensionalization</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Nondimensionalization</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/nondimensionalize.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Nondimensionalization"><a class="docs-heading-anchor" href="#Nondimensionalization">Nondimensionalization</a><a id="Nondimensionalization-1"></a><a class="docs-heading-anchor-permalink" href="#Nondimensionalization" title="Permalink"></a></h1><p>Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between <code>GEO</code>, <code>SI</code> or <code>NO</code> units:</p><ul><li><code>SI</code> units assume all input and output is in <code>SI</code> units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).</li><li><code>GEO</code> units uses <code>SI</code> units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as <code>Myrs</code>,<code>km</code> or <code>MPa</code></li><li><code>NO</code> units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that <code>velocity</code> is given in <code>m/s</code>).</li></ul><p>A dimensional parameter can be transformed into a non-dimensional one with <code>nondimensionalize</code>.</p><h1 id="Specify-characteristic-values"><a class="docs-heading-anchor" href="#Specify-characteristic-values">Specify characteristic values</a><a id="Specify-characteristic-values-1"></a><a class="docs-heading-anchor-permalink" href="#Specify-characteristic-values" title="Permalink"></a></h1><p>Characteristic values can be defined in 3 ways.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units" href="#GeoParams.Units"><code>GeoParams.Units</code></a> — <span class="docstring-category">Module</span></header><section><div><pre><code class="language-julia hljs">This provides units and creates a non-dimensionalization object</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Units.jl#L1-L3">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.AbstractGeoUnit" href="#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><p>AbstractGeoUnit</p><p>Abstract supertype for geo units.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Units.jl#L97-L101">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnit" href="#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.
+
+Having that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.
+With the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Units.jl#L111-L118">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnits" href="#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">GeoUnits
+
+Structure that holds parameters used for non-dimensionalization</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Units.jl#L308-L312">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GEO_units" href="#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)</code></pre><p>Creates a non-dimensionalization object using GEO units.</p><p>GEO units implies that upon dimensionalization, <code>time</code> will be in <code>Myrs</code>, <code>length</code> in <code>km</code>, stress in <code>MPa</code>, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (<code>km</code> or <code>m</code>), provided the unit is specified.</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = GEO_units()
+Employing GEO units 
+Characteristic values: 
+         length:      1000 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C
+julia&gt; CharUnits.velocity
+1.0e-7 m s⁻¹</code></pre><p>If we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic <code>length</code>:</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = GEO_units(length=10km)
+Employing GEO units 
+Characteristic values: 
+         length:      10 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Units.jl#L360-L391">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.SI_units" href="#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)</code></pre><p>Specify the characteristic values using SI units </p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = SI_units(length=1000m)
+Employing SI units 
+Characteristic values: 
+         length:      1000 m
+         time:        1.0e19 s
+         stress:      10 Pa
+         temperature: 1000.0 K</code></pre><p>Note that the same can be achieved if the input is given in <code>km</code>:</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = SI_units(length=1km)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Units.jl#L430-L449">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.NO_units" href="#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)</code></pre><p>Specify the characteristic values in non-dimensional units</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GeoParams;
+julia&gt; CharUnits = NO_units()
+Employing NONE units 
+Characteristic values: 
+         length:      1
+         time:        1.0 
+         stress:      1
+         temperature: 1.0</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Units.jl#L488-L504">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_val" href="#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia hljs">This unpacks the numerical value of `GeoUnit` in a structure, without the units.
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_val ρ,α = r
+julia&gt; α
+4.0e-5
+julia&gt; typeof(α)
+Float64</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/unpack.jl#L4-L23">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_units" href="#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia hljs">This unpacks the numerical value with units of `GeoUnit` parameters in a structure
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_units ρ,α = r
+julia&gt; α
+4.0e-5 K⁻¹·⁰
+julia&gt; typeof(α)
+Quantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/unpack.jl#L46-L65">source</a></section></article><h1 id="(Non)-dimensionalize-parameters"><a class="docs-heading-anchor" href="#(Non)-dimensionalize-parameters">(Non)-dimensionalize parameters</a><a id="(Non)-dimensionalize-parameters-1"></a><a class="docs-heading-anchor-permalink" href="#(Non)-dimensionalize-parameters" title="Permalink"></a></h1><p>Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.nondimensionalize" href="#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">nondimensionalize(param, CharUnits::GeoUnits{TYPE})</code></pre><p>Nondimensionalizes <code>param</code> using the characteristic values specified in <code>CharUnits</code></p><p><strong>Example 1</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GeoParams;
+julia&gt; CharUnits =   GEO_units();
+julia&gt; v         =   3cm/yr
+3 cm yr⁻¹ 
+julia&gt; v_ND      =   nondimensionalize(v, CharUnits) 
+0.009506426344208684</code></pre><p><strong>Example 2</strong></p><p>In geodynamics one sometimes encounters more funky units</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits =   GEO_units();
+julia&gt; A         =   6.3e-2MPa^-3.05*s^-1
+0.063 MPa⁻³·⁰⁵ s⁻¹
+julia&gt; A_ND      =   nondimensionalize(A, CharUnits) 
+7.068716262102384e14</code></pre><p>In case you are interested to see how the units of <code>A</code> look like in different units, use this function from the <a href="https://github.com/PainterQubits/Unitful.jl">Unitful</a> package:</p><pre><code class="language-julia-repl hljs">julia&gt; uconvert(u&quot;Pa^-3.05*s^-1&quot;,A) 
+3.157479571851836e-20 Pa⁻³·⁰⁵</code></pre><p>and to see it decomposed in the basic <code>SI</code> units of length, mass and time:</p><pre><code class="language-julia-repl hljs">julia&gt; upreferred(A)
+3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Units.jl#L538-L572">source</a></section><section><div><pre><code class="nohighlight hljs">param = nondimensionalize(param::NTuple{N,Quantity}, g::GeoUnits{TYPE})</code></pre><p>nondimensionalizes a tuple of parameters    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Units.jl#L619-L623">source</a></section><section><div><pre><code class="nohighlight hljs">MatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Non-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p><p><strong></strong></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Units.jl#L656-L661">source</a></section><section><div><pre><code class="nohighlight hljs">nondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>nondimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Units.jl#L689-L693">source</a></section><section><div><pre><code class="nohighlight hljs">MatParam_ND = nondimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)</code></pre><p>Non-dimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Units.jl#L728-L733">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.dimensionalize" href="#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes <code>param</code> into the dimensions <code>param_dim</code> using the characteristic values specified in <code>CharUnits</code>.  </p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits =   GEO_units();
+julia&gt; v_ND      =   nondimensionalize(3cm/yr, CharUnits) 
+0.031688087814028945
+julia&gt; v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) 
+3.0 cm yr⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Units.jl#L740-L754">source</a></section><section><div><pre><code class="nohighlight hljs">dimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Units.jl#L775-L780">source</a></section><section><div><pre><code class="nohighlight hljs">Dimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>Dimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Units.jl#L808-L812">source</a></section><section><div><pre><code class="nohighlight hljs">dimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)</code></pre><p>dimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Units.jl#L855-L860">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.isDimensional" href="#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">isDimensional(MatParam::AbstractMaterialParam)</code></pre><p><code>true</code> if MatParam is in dimensional units.    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Units.jl#L869-L873">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../geounit/">« GeoUnit</a><a class="docs-footer-nextpage" href="../materialparameters/">Material Parameters »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 28 October 2024 13:52">Monday 28 October 2024</span>. Using Julia version 1.10.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/dev/man/phasediagrams/index.html b/dev/man/phasediagrams/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Phase Diagrams · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script><link href="../../assets/favicon.ico" rel="icon" type="image/x-icon"/></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li class="is-active"><a class="tocitem" href>Phase Diagrams</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Perple_X"><span>Perple_X</span></a></li></ul></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Phase Diagrams</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Phase Diagrams</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/phasediagrams.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Phase-Diagrams"><a class="docs-heading-anchor" href="#Phase-Diagrams">Phase Diagrams</a><a id="Phase-Diagrams-1"></a><a class="docs-heading-anchor-permalink" href="#Phase-Diagrams" title="Permalink"></a></h1><p>It is possible to employ phase diagrams as lookup tables, which can be used to compute density, melt fraction or seismic properties, for example. </p><h1 id="Perple_X"><a class="docs-heading-anchor" href="#Perple_X">Perple_X</a><a id="Perple_X-1"></a><a class="docs-heading-anchor-permalink" href="#Perple_X" title="Permalink"></a></h1><p>A popular way to compute phase diagrams (pseudosections) for a given (fixed) chemical composition as a function of pressure and temperature is by using <a href="https://www.perplex.ethz.ch">Perple_X</a>. Once a stable assemblage is computed, through Gibbs energy minimisation, it allows you to output a large number of properties such as density, melt fraction or seismic velocities.</p><p>Within GeoParams, we can import this diagram (provided it is formatted in the same manner as <code>LaMEM</code> expects <code>Perple_X</code> input to be).</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PerpleX_LaMEM_Diagram" href="#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">PD_Data = PerpleX_LaMEM_Diagram(fname::String; CharDim = nothing)</code></pre><p>Reads a precomputed phase diagram in the <code>LaMEM/Perple_X</code> format (which is a phase diagram computed using <code>Perple_X</code>, but formatted in a manner that is readable using LaMEM). The data is stored in the <code>PhaseDiagram_LookupTable</code> structure.</p><p>If the <code>CharDim</code> object is specified, the values of all diagrams will be non-dimensionalized.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; PD_Data = PerpleX_LaMEM_Diagram(&quot;./test_data/Peridotite.in&quot;)
+Perple_X/LaMEM Phase Diagram Lookup Table: 
+                      File    :   ./test_data/Peridotite.in
+                      T       :   293.0 - 1573.000039
+                      P       :   1.0e7 - 2.9999999944e9
+                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp
+                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs
+                                  :Vp, :Vs, :VpVs</code></pre><p>Once imported, the properties on the diagram can be interpolated in a simple manner:</p><pre><code class="nohighlight hljs">julia&gt; PD_Data.Rho(1500,1e7)
+3042.836820256982</code></pre><p>This also works for vectors or arrays:</p><pre><code class="language-julia hljs">julia&gt; T = [1500 1800; 1233 1300]
+julia&gt; P = [1e8 1e9; 1e7 1e7]
+julia&gt; rho = PD_Data.Rho.(T,P)</code></pre><p>(Note the dot <code>.</code> in front of the bracket while evaluating arrays).</p><p>The fields that are available depend on what is listed in the diagram file.  The units of the fields are automatically evaluated, and employed to non-dimensionalize the parameters if <code>CharDim</code> is specified. </p><p><strong>Algorithm</strong></p><p>Internally, we employ linear interpolation, as provided by the <a href="https://github.com/JuliaMath/Interpolations.jl">Interpolations.jl</a> package. Values outside the range of the diagram are set to the boundary of the diagram. The interpolation object is directly encoded in the <code>PhaseDiagram_LookupTable</code>` object.  </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/PhaseDiagrams/PhaseDiagrams.jl#L44-L85">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable" href="#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Contains data of a Phase Diagram that is regularly spaced in P &amp; T</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/PhaseDiagrams/PhaseDiagrams.jl#L14-L16">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../zirconages/">« Zircon Ages</a><a class="docs-footer-nextpage" href="../seismicvelocity/">Seismic Velocity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 28 October 2024 13:52">Monday 28 October 2024</span>. Using Julia version 1.10.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/dev/man/plasticity/index.html b/dev/man/plasticity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Plasticity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script><link href="../../assets/favicon.ico" rel="icon" type="image/x-icon"/></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form 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class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Plasticity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Plasticity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/plasticity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Plasticity"><a class="docs-heading-anchor" href="#Plasticity">Plasticity</a><a id="Plasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Plasticity" title="Permalink"></a></h1><p>Plasticity is a non-linear rheology that is activated once stresses exceed a certain yield criteria.</p><h2 id="Implemented-laws"><a class="docs-heading-anchor" href="#Implemented-laws">Implemented laws</a><a id="Implemented-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-laws" title="Permalink"></a></h2><p>The following plastic law are implemented:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.DruckerPrager" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.DruckerPrager"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DruckerPrager</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DruckerPrager(ϕ=30, Ψ=0, C=10e6Pa)</code></pre><p>Sets parameters for Drucker-Prager plasticity, where the yield stress <span>$\sigma_{y}$</span> is computed by</p><p class="math-container">\[    \sigma_{y} = (P-P_f)\tan(ϕ) + C\]</p><p>with <span>$\phi$</span> being the friction angle (in degrees), <span>$C$</span> cohesion, <span>$P$</span> dynamic pressure and <span>$P_f$</span> the fluid pressure (both positive under compression).  </p><p><em>Yielding</em> occurs when the second invariant of the deviatoric stress tensor, <span>$\tau_{II}=(0.5\tau_{ij}\tau_{ij})^{0.5}$</span> touches the yield stress.  This can be computed with the yield function <span>$F$</span> and the plastic flow potential <span>$Q$</span>, which are respectively given by </p><p class="math-container">\[    F = \tau_{II} - \cos(ϕ)C - \sin(ϕ)(P-P_f)\]</p><p class="math-container">\[    Q = \tau_{II} - \sin(Ψ)(P-P_f) \]</p><p>Here, Ψ is the dilation angle, which must be zero for incompressible setups.</p><p>Plasticity is activated when <span>$F(\tau_{II}^{trial})$</span> (the yield function computed with a trial stress) is &gt;0. In that case, plastic strainrate <span>$\dot{\varepsilon}^{pl}_{ij}$</span> is computed by:</p><p class="math-container">\[    \dot{\varepsilon}^{pl}_{ij} =\dot{\lambda} {\partial Q \over \partial \sigma_{ij}}\]</p><p>where <span>$\dot{\lambda}$</span> is a (scalar) that is nonzero and chosen such that the resulting stress gives <span>$F(\tau_{II}^{final})=0$</span>, and <span>$\sigma_{ij}=-P + \tau_{ij}$</span> denotes the total stress tensor.   </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Plasticity/DruckerPrager.jl#L4-L29">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.DruckerPrager_regularised" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.DruckerPrager_regularised"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DruckerPrager_regularised</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DruckerPrager_regularised(ϕ=30, Ψ=0, C=10e6Pa, η_vp=1e20Pa*s)</code></pre><p>Sets parameters for reularised Drucker-Prager plasticity, where the yield stress <span>$\sigma_{y}$</span> is computed by</p><p class="math-container">\[    \sigma_{y} = (P-P_f)\tan(ϕ) + C + 2η_vpε̇II_pl \]</p><p>with <span>$\phi$</span> being the friction angle (in degrees), <span>$C$</span> cohesion, <span>$P$</span> dynamic pressure, <span>$P_f$</span> the fluid pressure (both positive under compression), <span>$η_vp$</span> the regularization viscosity and <span>$ε̇II_pl$</span> the invariant of the plastic strainrate</p><p><em>Yielding</em> occurs when the second invariant of the deviatoric stress tensor, <span>$\tau_{II}=(0.5\tau_{ij}\tau_{ij})^{0.5}$</span> touches the yield stress.  This can be computed with the yield function <span>$F$</span> and the plastic flow potential <span>$Q$</span>, which are respectively given by </p><p class="math-container">\[    F = \tau_{II} - \cos(ϕ)C - \sin(ϕ)(P-P_f) - 2 \eta_{vp} \dot{\varepsilon}ε̇^{pl}_{II}\]</p><p class="math-container">\[    Q = \tau_{II} - \sin(Ψ)(P-P_f) \]</p><p>Here, Ψ is the dilation angle, which must be zero for incompressible setups.</p><p>Plasticity is activated when <span>$F(\tau_{II}^{trial})$</span> (the yield function computed with a trial stress) is &gt;0. In that case, plastic strainrate <span>$\dot{\varepsilon}^{pl}_{ij}$</span> is computed by:</p><p class="math-container">\[    \dot{\varepsilon}^{pl}_{ij} =\dot{\lambda} {\partial Q \over \partial \sigma_{ij}}\]</p><p>where <span>$\dot{\lambda}$</span> is a (scalar) that is nonzero and chosen such that the resulting stress gives <span>$F(\tau_{II}^{final})=0$</span>, and <span>$\sigma_{ij}=-P + \tau_{ij}$</span> denotes the total stress tensor.   </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Plasticity/DruckerPrager_regularised.jl#L4-L29">source</a></section></article><h2 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h2><p>Usually, plasticity should be defined as part of a <code>CompositeRheology</code> structure and calculations can be done as with all other rheology computations by using <code>compute_τII</code>.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../elasticity/">« Elasticity</a><a class="docs-footer-nextpage" href="../heatcapacity/">Heat Capacity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 28 October 2024 13:52">Monday 28 October 2024</span>. Using Julia version 1.10.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Plotting · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li class="is-active"><a class="tocitem" href>Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Plotting</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Plotting</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/plotting.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Plotting"><a class="docs-heading-anchor" href="#Plotting">Plotting</a><a id="Plotting-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting" title="Permalink"></a></h1><p>We provide a number of plotting routines. Note that these plotting routines only become available once the <code>GLMakie</code> package is loaded.</p><h3 id="Plot-CreepLaws"><a class="docs-heading-anchor" href="#Plot-CreepLaws">Plot CreepLaws</a><a id="Plot-CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#Plot-CreepLaws" title="Permalink"></a></h3><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotStressStrainrate_CreepLaw</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotHeatCapacity</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotConductivity</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotMeltFraction</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotPhaseDiagram</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotDeformationMap</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../strengthenvelope/">« 1D Strength Envelope</a><a class="docs-footer-nextpage" href="../listfunctions/">List of functions »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 28 October 2024 13:52">Monday 28 October 2024</span>. 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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Radioactive heat · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li class="is-active"><a class="tocitem" href>Radioactive heat</a><ul class="internal"><li><a class="tocitem" href="#Methods"><span>Methods</span></a></li></ul></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Radioactive heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Radioactive heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/radioactiveheating.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Radioactive-heat"><a class="docs-heading-anchor" href="#Radioactive-heat">Radioactive heat</a><a id="Radioactive-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Radioactive-heat" title="Permalink"></a></h1><h2 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h2><p>Radioactive heat sources are defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat" href="#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)</code></pre><p>Set a constant radioactive heat:</p><p class="math-container">\[    H_r  = cst\]</p><p>where <span>$H_r$</span> is the radioactive heat source [<span>$Watt/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Energy/RadioactiveHeat.jl#L23-L31">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat" href="#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ExpDepthDependent(H_0=1e-6Watt/m^3, h_r=10e3m, z_0=0m)</code></pre><p>Sets an exponential depth-dependent radioactive </p><p class="math-container">\[    H_r  = H_0 \exp \left( {- {(z - z_0) \over h_r}} \right)\]</p><p>where <span>$H_0$</span> is the radioactive heat source [<span>$Watt/m^3$</span>] at <span>$z=z_0$</span> which decays with depth over a characteristic distance <span>$h_r$</span>.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Energy/RadioactiveHeat.jl#L63-L71">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../latentheat/">« Latent heat</a><a class="docs-footer-nextpage" href="../shearheating/">Shear heating »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia 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Using Julia version 1.10.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Seismic Velocity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script><link href="../../assets/favicon.ico" rel="icon" type="image/x-icon"/></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form 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href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li class="is-active"><a class="tocitem" href>Seismic Velocity</a><ul class="internal"><li><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-velocity-correction-for-partial-melt"><span>Seismic velocity correction for partial melt</span></a></li><li><a class="tocitem" href="#Methods-2"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity"><span>Seismic S-wave velocity correction for (shallow depth) porosity</span></a></li><li><a class="tocitem" href="#Methods-3"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-velocity-correction-for-anelasticity"><span>Seismic velocity correction for anelasticity</span></a></li><li><a class="tocitem" href="#Methods-4"><span>Methods</span></a></li><li><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Seismic Velocity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Seismic Velocity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/seismicvelocity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Seismic-velocity"><a class="docs-heading-anchor" href="#Seismic-velocity">Seismic velocity</a><a id="Seismic-velocity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity" title="Permalink"></a></h1><h2 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h2><p>Seismic velocity can specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity" href="#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)</code></pre><p>Set a constant seismic P and S-wave velocity:</p><p class="math-container">\[    V_p = cst\]</p><p class="math-container">\[    V_s = cst\]</p><p>where <span>$V_p, V_s$</span> are the P-wave and S-wave velocities [<span>$km/s$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/SeismicVelocity/SeismicVelocity.jl#L35-L46">source</a></section></article><p>In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.</p><h1 id="Seismic-velocity-correction-for-partial-melt"><a class="docs-heading-anchor" href="#Seismic-velocity-correction-for-partial-melt">Seismic velocity correction for partial melt</a><a id="Seismic-velocity-correction-for-partial-melt-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity-correction-for-partial-melt" title="Permalink"></a></h1><h2 id="Methods-2"><a class="docs-heading-anchor" href="#Methods-2">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-2" title="Permalink"></a></h2><p>The routine uses the reduction formulation of Clark et al., (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.</p><h1 id="Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity"><a class="docs-heading-anchor" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity">Seismic S-wave velocity correction for (shallow depth) porosity</a><a id="Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity" title="Permalink"></a></h1><h2 id="Methods-3"><a class="docs-heading-anchor" href="#Methods-3">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-3" title="Permalink"></a></h2><p>This routine is based on the equilibrium geometry model for the solid skeleton of Takei et al. (1998) and the porosity-depth empirical relationship of Chen et al. (2020)</p><h1 id="Seismic-velocity-correction-for-anelasticity"><a class="docs-heading-anchor" href="#Seismic-velocity-correction-for-anelasticity">Seismic velocity correction for anelasticity</a><a id="Seismic-velocity-correction-for-anelasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity-correction-for-anelasticity" title="Permalink"></a></h1><h2 id="Methods-4"><a class="docs-heading-anchor" href="#Methods-4">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-4" title="Permalink"></a></h2><p>The routine uses the reduction formulation of karato (1993), using the quality factor formulation from Behn et al. (2009)</p><h2 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h2><p>To compute a correction of S-wave velocity for anelasticity, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction" href="#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">    Vs_anel = anelastic_correction(water::Int64, Vs0::Float64,P::Float64,T::Float64)</code></pre><p>This routine computes a correction of S-wave velocity for anelasticity</p><p><strong>Input:</strong></p><ul><li><code>water</code>: water flag, 0 = dry; 1 = dampened; 2 = water saturated </li><li><code>Vs0</code>  : S-wave velocitiy of the solid phase (with or without melt correction)</li><li><code>P</code>    : pressure given in Pa</li><li><code>T</code>    : temperature given in °K</li></ul><p><strong>Output:</strong></p><ul><li><code>Vs_anel</code> : corrected S-wave velocity for anelasticity</li></ul><p>The routine uses the reduction formulation of Karato (1993), using the quality factor formulation from Behn et al. (2009)</p><p><strong>References:</strong></p><ul><li><p>Karato, S. I. (1993). Importance of anelasticity in the interpretation of seismic tomography. Geophysical research letters, 20(15), 1623-1626.</p></li><li><p>Behn, M. D., Hirth, G., &amp; Elsenbeck II, J. R. (2009). Implications of grain size evolution on the seismic structure of the oceanic upper mantle. Earth and Planetary Science Letters, 282(1-4), 178-189.</p></li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/SeismicVelocity/SeismicVelocity.jl#L354-L381">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../phasediagrams/">« Phase Diagrams</a><a class="docs-footer-nextpage" href="../strengthenvelope/">1D Strength Envelope »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 28 October 2024 13:52">Monday 28 October 2024</span>. Using Julia version 1.10.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/dev/man/shearheating/index.html b/dev/man/shearheating/index.html
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Shear heating · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script><link href="../../assets/favicon.ico" rel="icon" type="image/x-icon"/></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li class="is-active"><a class="tocitem" href>Shear heating</a><ul class="internal"><li><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Shear heating</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Shear heating</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/shearheating.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Shear-heating"><a class="docs-heading-anchor" href="#Shear-heating">Shear heating</a><a id="Shear-heating-1"></a><a class="docs-heading-anchor-permalink" href="#Shear-heating" title="Permalink"></a></h1><h2 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h2><p>Heat caused by non-recoverable deformation can be specified in </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.ConstantShearheating" href="#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantShearheating(Χ=0.0NoUnits)</code></pre><p>Set the shear heating efficiency [0-1] parameter</p><p class="math-container">\[Χ  = cst\]</p><p>where <span>$\Chi$</span> is the shear heating efficiency [NoUnits]</p><p>Shear heating is computed as</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}(\dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Energy/Shearheating.jl#L23-L37">source</a></section></article><h2 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h2><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">H_s = compute_shearheating(s:&lt;AbstractShearheating, τ, ε, ε_el)</code></pre><p>Computes the shear heating source term</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Energy/Shearheating.jl#L89-L104">source</a></section><section><div><pre><code class="nohighlight hljs">H_s = ComputeShearheating(s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij}\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Energy/Shearheating.jl#L107-L120">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating!" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_shearheating!(H_s, s:&lt;AbstractShearheating,  τ, ε, ε_el)</code></pre><p>Computes the shear heating source term in-place</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul><p><em>NOTE:</em> The shear heating terms require the full deviatoric stress &amp; strain rate tensors, i.e.:</p><p class="math-container">\[2D: \tau_{ij} = \left(
+                \begin{matrix}
+                    \tau_{xx} &amp; \tau_{xz} \\
+                    \tau_{zx} &amp; \tau_{zz}
+                \end{matrix}
+            \right)\]</p><p>Since <span>$\tau_{zx}=\tau_{xz}$</span>, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used!</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Energy/Shearheating.jl#L125-L152">source</a></section><section><div><pre><code class="nohighlight hljs">compute_shearheating!(H_s, s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term <code>H_s</code> in-place when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij}\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Energy/Shearheating.jl#L155-L168">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../radioactiveheating/">« Radioactive heat</a><a class="docs-footer-nextpage" href="../gravity/">Gravity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 28 October 2024 13:52">Monday 28 October 2024</span>. Using Julia version 1.10.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>1D Strength Envelope · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>1D Strength Envelope</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>1D Strength Envelope</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/strengthenvelope.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="D-Strength-envelope"><a class="docs-heading-anchor" href="#D-Strength-envelope">1D Strength envelope</a><a id="D-Strength-envelope-1"></a><a class="docs-heading-anchor-permalink" href="#D-Strength-envelope" title="Permalink"></a></h1><p>We provide a routine for computing a 1D strength envelope and the tools for setting up a temperature structure and lithostatic pressure profile.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ConstTemp" href="#GeoParams.ConstTemp"><code>GeoParams.ConstTemp</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstTemp(T=1000)</code></pre><p>Sets a constant temperature inside the box</p><p>Parameters:</p><ul><li>T : the value</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/StrengthEnvelope/StrengthEnvelope.jl#L8-L15">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.LinTemp" href="#GeoParams.LinTemp"><code>GeoParams.LinTemp</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">LinTemp(Ttop=0, Tbot=1000)</code></pre><p>Sets a linear temperature structure from top to bottom</p><p>Parameters:</p><ul><li>Ttop: the value @ the top</li><li>Tbot: the value @ the bottom</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/StrengthEnvelope/StrengthEnvelope.jl#L33-L41">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.HalfspaceCoolTemp" href="#GeoParams.HalfspaceCoolTemp"><code>GeoParams.HalfspaceCoolTemp</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">HalfspaceCoolTemp(Tsurface=0, Tmantle=1350, Age=60, Adiabat=0)</code></pre><p>Sets a halfspace temperature structure in plate</p><p>Parameters:</p><ul><li>Tsurface: surface temperature [C]</li><li>Tmantle:  mantle temperature [C]</li><li>Age:      Thermal Age of plate [Myrs]</li><li>Adiabat:  Mantle Adiabat [K/km]</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/StrengthEnvelope/StrengthEnvelope.jl#L57-L67">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.CompTempStruct" href="#GeoParams.CompTempStruct"><code>GeoParams.CompTempStruct</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CompTempStruct(Z, s::AbstractTempStruct)</code></pre><p>Returns a temperature vector that matches the coordinate vector and temperature structure that were passed in</p><p>Parameters:</p><ul><li>Z: vector with depth coordinates</li><li>s: Temperature structure (CostTemp, LinTemp, HalfspaceCoolTemp)</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/StrengthEnvelope/StrengthEnvelope.jl#L21-L29">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.LithPres" href="#GeoParams.LithPres"><code>GeoParams.LithPres</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">LithPres(MatParam, Phases, ρ, T, dz, g)</code></pre><p>Iteratively solves a 1D lithostatic pressure profile (compatible with temperature- and pressure-dependent densities)</p><p>Parameters:</p><ul><li>MatParam: a tuple of materials (including the following properties: Phase, Density)</li><li>Phases:   vector with the distribution of phases</li><li>ρ:        density vector for initial guess(can be zeros)</li><li>T:        temperature vector</li><li>dz:       grid spacing</li><li>g:        gravitational acceleration</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/StrengthEnvelope/StrengthEnvelope.jl#L89-L101">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.StrengthEnvelopeComp" href="#GeoParams.StrengthEnvelopeComp"><code>GeoParams.StrengthEnvelopeComp</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">StrengthEnvelopeComp(MatParam::NTuple{N, AbstractMaterialParamsStruct}, Thickness::Vector{U}, TempType::AbstractTempStruct=LinTemp(0C, 800C), ε=1e-15/s, nz::Int64=101) where {N, U}</code></pre><p>Calculates a 1D strength envelope. Pressure used for Drucker Prager plasticity is lithostatic. To visualize the results in a GUI, use StrengthEnvelopePlot.</p><p>Parameters:</p><ul><li>MatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)</li><li>Thickness: a vector listing the thicknesses of the respective layers (should carry units)</li><li>TempType:  the type of temperature profile (ConstTemp(), LinTemp(), HalfspaceCoolTemp())</li><li>ε:         background strainrate</li><li>nz:        optional argument controlling the number of points along the profile (default = 101)</li></ul><p><strong>Example:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GLMakie
+julia&gt; MatParam = (SetMaterialParams(Name=&quot;UC&quot;, Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(&quot;Wet Quartzite | Ueda et al. (2008)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;MC&quot;, Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(&quot;Plagioclase An75 | Ji and Zhao (1993)&quot;), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;LC&quot;, Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(&quot;Maryland strong diabase | Mackwell et al. (1998)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));
+julia&gt; Thickness = [15,10,15]*km;
+
+julia&gt; StrengthEnvelopeComp(MatParam, Thickness, LinTemp(), ε=1e-15/s)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/StrengthEnvelope/StrengthEnvelope.jl#L165-L187">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.StrengthEnvelopePlot" href="#GeoParams.StrengthEnvelopePlot"><code>GeoParams.StrengthEnvelopePlot</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">StrengthEnvelopePlot(MatParam, Thickness; TempType, nz)</code></pre><p>Requires GLMakie</p><p>Creates a GUI that plots a 1D strength envelope. In the GUI, temperature profile and strain rate can be adjusted. The Drucker-Prager plasticity uses lithostatic pressure.</p><p>Parameters:</p><ul><li>MatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)</li><li>Thickness: a vector listing the thicknesses of the respective layers (should carry units)</li><li>TempType:  the type of temperature profile (LinTemp=default, HalfspaceCoolTemp, ConstTemp)</li><li>nz:        optional argument controlling the number of points along the profile (default = 101)</li></ul><p><strong>Example:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GLMakie
+julia&gt; MatParam = (SetMaterialParams(Name=&quot;UC&quot;, Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(&quot;Wet Quartzite | Ueda et al. (2008)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;MC&quot;, Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(&quot;Plagioclase An75 | Ji and Zhao (1993)&quot;), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;LC&quot;, Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(&quot;Maryland strong diabase | Mackwell et al. (1998)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));
+julia&gt; Thickness = [15,10,15]*km;
+
+julia&gt; StrengthEnvelopePlot(MatParam, Thickness, LinTemp())</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/StrengthEnvelope/StrengthEnvelope.jl#L232-L255">source</a></section></article><p><img src="../../assets/XMasTree.png" alt="XMasTree"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../seismicvelocity/">« Seismic Velocity</a><a class="docs-footer-nextpage" href="../plotting/">Plotting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 28 October 2024 13:52">Monday 28 October 2024</span>. Using Julia version 1.10.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Tables</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Tables</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/tables.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Tables"><a class="docs-heading-anchor" href="#Tables">Tables</a><a id="Tables-1"></a><a class="docs-heading-anchor-permalink" href="#Tables" title="Permalink"></a></h1><p>There are two different formats of output tables that can be produced:</p><ul><li>LaTeX (always comes with &quot;References.bib&quot; for citations)</li><li>Markdown</li></ul><h1 id="Producing-output-table"><a class="docs-heading-anchor" href="#Producing-output-table">Producing output table</a><a id="Producing-output-table-1"></a><a class="docs-heading-anchor-permalink" href="#Producing-output-table" title="Permalink"></a></h1><p><code>ParameterTable()</code> is used to produce an output table of all the material parameters in your phase(s) in LaTeX or Markdown format. All you need is a dimensional <code>phase</code> as defined in section 2. Material Parameters in the README.md of GeoParams. This <code>phase</code> should be given to <code>ParameterTable</code> as first argument. There are optional arguments which can be given in <code>ParameterTable</code>. Those are <code>format</code>, <code>filename</code> and <code>rdigits</code>. The <code>format</code> keyword determines whether your table should be in <code>LaTeX</code> or <code>Markdown</code> format (should be given as string). <code>filename</code> determines the name of the file but can also be used to save the file in a different directory other than the GeoParams package directory (should be given as string, note: no file endings needed since they will be determined by the <code>format</code> keyword!). <code>rdigits</code> gives the numbers of decimals to which all parameter values will be rounded (should be given as integer).</p><p>Example 1:</p><pre><code class="language-julia hljs">julia&gt; MatParam = SetMaterialParams(Name=&quot;Viscous Matrix&quot;, Phase=1,
+                                     Density   = ConstantDensity(),
+                                     CreepLaws = LinearViscous(η=1e23Pa*s))
+
+julia&gt; ParameterTable(MatParam, format=&quot;tex&quot;, filename=&quot;ParameterTable&quot;, rdigits=4)</code></pre><p><img src="../assets/img/LaTeX_table.PNG" alt="latex"/></p><p>Example 2:</p><pre><code class="language-julia hljs">julia&gt; ParameterTable(MatParam, format=&quot;md&quot;, filename=&quot;ParameterTable&quot;, rdigits=4)</code></pre><p><img src="../assets/img/markdown_table.PNG" alt="markdown"/></p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.ParameterTable" href="#GeoParams.Tables.ParameterTable"><code>GeoParams.Tables.ParameterTable</code></a> — <span class="docstring-category">Function</span></header><section><div><p>ParameterTable() creates a table with all parameters saved in the Phase struct. It lets you choose between &quot;latex&quot; and &quot;markdown&quot; as table formats with LaTeX as default. Creates a filename.tex or filename.md file as output. If &quot;latex&quot; is chosen a &quot;Reference.bib&quot; file will automatically be produced with all your references. Storage path by default is the GeoParams package folder. A specific storage path can be given as normal path with &quot;\filename&quot; in the end as a string. Use double backslash for subfolders. There is no file extension needed to be given.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Tables.jl#L1172-L1177">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.Phase2Dict" href="#GeoParams.Tables.Phase2Dict"><code>GeoParams.Tables.Phase2Dict</code></a> — <span class="docstring-category">Function</span></header><section><div><p>Phase2Dict() puts all parameters of a phase s in a dict.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Tables.jl#L32-L34">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.Phase2DictMd" href="#GeoParams.Tables.Phase2DictMd"><code>GeoParams.Tables.Phase2DictMd</code></a> — <span class="docstring-category">Function</span></header><section><div><p>Phase2DictMd() puts all parameters of a phase in a dict.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Tables.jl#L659-L662">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.Dict2LatexTable" href="#GeoParams.Tables.Dict2LatexTable"><code>GeoParams.Tables.Dict2LatexTable</code></a> — <span class="docstring-category">Function</span></header><section><div><p>Dict2LatexTable() writes a .tex file with all parameters from the Phase2Dict() output in a LaTeX table. rdigits will round numbers with more decimals than rdigits including numbers of 10 to power of n, n being an Integer, for representation purposes. For the exact numbers use the original implemented numbers from the creeplaws of the dict in src/CreepLaw/Data/DiffusionCreep.jl or src/CreepLaw/Data/DislocationCreep.jl.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Tables.jl#L387-L393">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.Dict2MarkdownTable" href="#GeoParams.Tables.Dict2MarkdownTable"><code>GeoParams.Tables.Dict2MarkdownTable</code></a> — <span class="docstring-category">Function</span></header><section><div><p>Dict2MarkdownTable() writes a .md file with all parameters from the Phase2DictMd() output in a Markdown table. rdigits will round numbers with more decimals than rdigits including numbers of 10 to power of n, n being an Integer, for representation purposes. For the exact numbers use the original implemented numbers from the creeplaws of the dict in src/CreepLaw/Data/DiffusionCreep.jl or src/CreepLaw/Data/DislocationCreep.jl.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Tables.jl#L987-L992">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.detachFloatfromExponent" href="#GeoParams.Tables.detachFloatfromExponent"><code>GeoParams.Tables.detachFloatfromExponent</code></a> — <span class="docstring-category">Function</span></header><section><div><p>detachFloatfromExponent() returns the number of float decimals after the comma as Integer, the float number without the exponent as string and the exponent after the &quot;e&quot; as string. The argument output returns &quot;1&quot; for &quot;ex&quot; if the input number has no exponent.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Tables.jl#L11-L16">source</a></section></article></article><nav class="docs-footer"><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 28 October 2024 13:52">Monday 28 October 2024</span>. Using Julia version 1.10.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/dev/man/viscosity/index.html b/dev/man/viscosity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Viscosity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script><link href="../../assets/favicon.ico" rel="icon" type="image/x-icon"/></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li class="is-active"><a class="tocitem" href>Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Viscosity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Viscosity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/viscosity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Effective-viscosity"><a class="docs-heading-anchor" href="#Effective-viscosity">Effective viscosity</a><a id="Effective-viscosity-1"></a><a class="docs-heading-anchor-permalink" href="#Effective-viscosity" title="Permalink"></a></h1><p>To compute the viscosity given stress of strainrate use:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.compute_viscosity_εII" href="#GeoParams.compute_viscosity_εII"><code>GeoParams.compute_viscosity_εII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_viscosity_εII(s::AbstractConstitutiveLaw, εII, kwargs...)</code></pre><p>Compute effective viscosity given a 2nd invariant of the deviatoric strain rate tensor, extra parameters are passed as a named tuple, e.g., (;T=T) </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Viscosity/Viscosity.jl#L8-L12">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.compute_viscosity_τII" href="#GeoParams.compute_viscosity_τII"><code>GeoParams.compute_viscosity_τII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_viscosity_τII(s::AbstractConstitutiveLaw, τII, kwargs...)</code></pre><p>Compute effective viscosity given a 2nd invariant of the deviatoric stress tensor and, extra parameters are passed as a named tuple, e.g., (;T=T) </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/Viscosity/Viscosity.jl#L23-L27">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../customrheology/">« Custom rheology</a><a class="docs-footer-nextpage" href="../elasticity/">Elasticity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 28 October 2024 13:52">Monday 28 October 2024</span>. Using Julia version 1.10.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/dev/man/zirconages/index.html b/dev/man/zirconages/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Zircon Ages · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script><link href="../../assets/favicon.ico" rel="icon" type="image/x-icon"/></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li class="is-active"><a class="tocitem" href>Zircon Ages</a><ul class="internal"><li><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Zircon Ages</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Zircon Ages</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/zirconages.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Zircon-age-parameterizations"><a class="docs-heading-anchor" href="#Zircon-age-parameterizations">Zircon age parameterizations</a><a id="Zircon-age-parameterizations-1"></a><a class="docs-heading-anchor-permalink" href="#Zircon-age-parameterizations" title="Permalink"></a></h1><h2 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h2><p>Zircons are one of the ways in which we can date the age &amp; activity of magmatic systems. Here, we provide a computational routine that computes the zircon age distribution from temperature-time paths</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.ZirconAgeData" href="#GeoParams.ZirconAges.ZirconAgeData"><code>GeoParams.ZirconAges.ZirconAgeData</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ZirconAgeData</code></pre><p>Struct that holds default parameters for the calculations</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/ZirconAge/ZirconAges.jl#L27-L31">source</a></section></article><h2 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h2><p>There is one main routine with which you can compute zircon age probability density functions from a range of temperature-ime paths:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.compute_zircon_age_PDF" href="#GeoParams.ZirconAges.compute_zircon_age_PDF"><code>GeoParams.ZirconAges.compute_zircon_age_PDF</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">time_Ma, PDF_zircons, time_Ma_average, PDF_zircon_average, time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF = compute_zircon_age_PDF(time_years_vecs::Vector{Vector}, Tt_paths_Temp_vecs::Vector{Vector}; ZirconData::ZirconAgeData = ZirconAgeData(), bandwidth=bandwidth, n_analyses=300)</code></pre><p>This computes the PDF (probability density function) with zircon age data from Vectors with Tt-paths	</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/ZirconAge/ZirconAges.jl#L296-L301">source</a></section></article><p>This, in turn, calls two other routines:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.compute_zircons_Ttpath" href="#GeoParams.ZirconAges.compute_zircons_Ttpath"><code>GeoParams.ZirconAges.compute_zircons_Ttpath</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF =  compute_zircons_Ttpath(time_years::AbstractArray{Float64,1}, Tt_paths_Temp::AbstractArray{Float64,2}; ZirconData::ZirconAgeData)</code></pre><p>This computes the number of zircons produced from a series of temperature-time path&#39;s.  The Tt-paths are stored in a 2D matrix <code>Tt_paths_Temp</code> with rows being the temperature at time <code>time_years</code>.</p><p><strong>Input:</strong></p><ul><li><code>time_years</code> : vector of length <code>nt</code> with the time in years (since the beginning of the simulation) of the points provided</li><li><code>Tt_paths_Temp</code> : array of size <code>(nt,npaths)</code>` with the temperature of every path.</li></ul><p>Output:</p><ul><li><code>prob</code> : a vector that gives the relative probability that a zircon with a given age exists</li><li><code>ages_eruptible</code> : age of eruptble magma</li><li><code>number_zircons</code> : 1D array of size <code>(nt,)</code></li><li><code>T_av_time</code>: vector of size <code>nt</code> that contains the average T of the paths</li><li><code>T_sd_time</code>: vector of size <code>nt</code> that contains the standard deviation of the T of the paths</li><li><code>cumPDF</code>: vector of size <code>nt</code> that contains the cumulative probability density function that we have an age of less than a certain one in the samples</li></ul><p>This routine was developed based on an R-routine provided as electronic supplement in the paper:</p><ul><li>Weber, G., Caricchi, L., Arce, J.L., Schmitt, A.K., 2020. Determining the current size and state of subvolcanic magma reservoirs. Nat Commun 11, 5477. https://doi.org/10.1038/s41467-020-19084-2</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/ZirconAge/ZirconAges.jl#L98-L120">source</a></section><section><div><pre><code class="nohighlight hljs">time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF  = compute_zircons_Ttpath(time_years_vecs::Vector{Vector{Float64}}, Tt_paths_Temp::Vector{Vector{Float64}}; ZirconData::ZirconAgeData = ZirconAgeData())</code></pre><p>This accepts Vector{Vector} as input for time and temperature of each Tt-path. Here, the length of the vector can be variable between different points.</p><p>Internally, we interpolate this into a 2D matrix and a longer vector that includes all paths and a single vector with times </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/ZirconAge/ZirconAges.jl#L205-L212">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.zircon_age_PDF" href="#GeoParams.ZirconAges.zircon_age_PDF"><code>GeoParams.ZirconAges.zircon_age_PDF</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">zircon_age_PDF(ages_eruptible::AbstractArray{Float64,1}, number_zircons::AbstractArray{Float64,2}, bandwidth=1e5, n_analyses=300, ZirconData::ZirconAgeData)</code></pre><p>Compute probability density functions for zircon age path&#39;s describes in <code>number_zircons</code> with age <code>ages_eruptible</code> (both computed ). <code>bandwidth</code> is the smoothening window of the resulting curves (in years), whereas <code>n_analyses</code> are the number of analyses done. 	</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4345930b08fcdf57b6f09b4e267d68ffbd0913e2/src/ZirconAge/ZirconAges.jl#L256-L260">source</a></section></article><p>We also provide a plotting routine, provided the GLMakie.jl package is loaded, which produces figures such as: <img src="../assets/img/ZirconAge_PDF.png" alt="subet3"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../TASclassification/">« TAS classification</a><a class="docs-footer-nextpage" href="../phasediagrams/">Phase Diagrams »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 28 October 2024 13:52">Monday 28 October 2024</span>. 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The interpolation object is directly encoded in the PhaseDiagram_LookupTable` object.  \n\n\n\n\n\n","category":"function"},{"location":"man/phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","page":"Phase Diagrams","title":"GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","text":"Contains data of a Phase Diagram that is regularly spaced in P & T\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#MaterialParameters","page":"Material Parameters","title":"MaterialParameters","text":"","category":"section"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"Material properties for a given phase can be set with SetMaterialParams, whereas all properties are  stored in the MaterialParams structure. Information about the material parameter is found at MaterialParamsInfo. This can be employed ","category":"page"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"MaterialParamsInfo\nSetMaterialParams\nMaterialParams","category":"page"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParamsInfo","text":"MaterialParamsInfo\n\nStructure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.\n\nUsually used in combination with param_info(the_parameter_of_interest)\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.SetMaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.SetMaterialParams","text":"SetMaterialParams(; Name::String=\"\", Phase::Int64=1,\n                    Density             =   nothing,\n                    Gravity             =   nothing,\n                    CreepLaws           =   nothing,\n                    Elasticity          =   nothing,\n                    Plasticity          =   nothing,\n                    CompositeRheology   =   nothing,\n                    Conductivity        =   nothing,\n                    HeatCapacity        =   nothing,\n                    RadioactiveHeat     =   nothing,\n                    LatentHeat          =   nothing,\n                    ShearHeat           =   nothing,\n                    Permeability        =   nothing,\n                    Melting             =   nothing,\n                    SeismicVelocity     =   nothing,\n                    CharDim::GeoUnits   =   nothing)\n\nSets material parameters for a given phase.\n\nIf CharDim is specified the input parameters are non-dimensionalized. Note that if Density is specified, we also set Gravity even if not explicitly listed\n\nExamples\n\nDefine two viscous creep laws & constant density:\n\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\",\n                       Density   = ConstantDensity(),\n                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))\nPhase 1 : Viscous Matrix\n        | [dimensional units]\n        |\n        |-- Density           : Constant density: ρ=2900 kg m⁻³\n        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻²\n        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹\n        |                       Linear viscosity: η=1.0e21 Pa s\n\nDefine two viscous creep laws & P/T dependent density and nondimensionalize\n\njulia> CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\", Phase=33,\n                              Density   = PT_Density(),\n                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),\n                              CharDim   = CharUnits_GEO)\nPhase 33: Viscous Matrix\n        | [non-dimensional units]\n        |\n        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0\n        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18\n        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001\n        |                       Linear viscosity: η=10000.0\n\nYou can also create an array that holds several parameters:\n\njulia> MatParam        =   Array{MaterialParams, 1}(undef, 2);\njulia> Phase           =   1;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Upper Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                            Density  = ConstantDensity(ρ=2900kg/m^3));\njulia> Phase           =   2;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Lower Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),\n                            Density  = PT_Density(ρ0=3000kg/m^3));\njulia> MatParam\n2-element Vector{MaterialParams}:\n Phase 1 : Upper Crust\n    | [dimensional units]\n    |\n    |-- Density           : Constant density: ρ=2900 kg m⁻³\n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻²\n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹\n    |                       Linear viscosity: η=1.0e23 Pa s\n\n Phase 2 : Lower Crust\n    | [dimensional units]\n    |\n    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa\n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻²\n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹\n    |                       Linear viscosity: η=1.0e21 Pa s\n\n\n\n\n\n","category":"function"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParams","text":"MaterialParams\n\nStructure that holds all material parameters for a given phase\n\n\n\n\n\n","category":"type"},{"location":"man/contributing/#Contributing","page":"Contributing","title":"Contributing","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"You can contribute for example by adding new creep laws or by adding new constitutive relationships. If you invest a bit of time now, it will save others in the community a lot of time! The simplest way to do this is by cloning the repository, and creating a new branch for your feature. Once you are happy with what you added (and after you added a test to ensure that it will keep working with future changes), create a pull request and we will evaluate & merge it.","category":"page"},{"location":"man/contributing/#Style-Guide","page":"Contributing","title":"Style Guide","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Follow the style of the surrounding text when making changes. When adding new features please try to stick to the following points whenever applicable.","category":"page"},{"location":"man/contributing/#Julia","page":"Contributing","title":"Julia","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"4-space indentation;\nmodules spanning entire files should not be indented, but modules that have surrounding code should;\nno blank lines at the start or end of files;\ndo not manually align syntax such as = or :: over adjacent lines;\nuse function ... end when a method definition contains more than one toplevel expression;\nrelated short-form method definitions don't need a new line between them;\nunrelated or long-form method definitions must have a blank line separating each one;\nsurround all binary operators with whitespace except for ::, ^, and :;\nfiles containing a single module ... end must be named after the module;\nmethod arguments should be ordered based on the amount of usage within the method body;\nmethods extended from other modules must follow their inherited argument order, not the above rule;\nexplicit return should be preferred except in short-form method definitions;\navoid dense expressions where possible e.g. prefer nested ifs over complex nested ?s;\ninclude a trailing , in vectors, tuples, or method calls that span several lines;\ndo not use multiline comments (#= and =#);\nwrap long lines as near to 92 characters as possible, this includes docstrings;\nfollow the standard naming conventions used in Base.","category":"page"},{"location":"man/contributing/#Markdown","page":"Contributing","title":"Markdown","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Use unbalanced # headers, i.e. no # on the right hand side of the header text;\ninclude a single blank line between toplevel blocks;\nunordered lists must use * bullets with two preceding spaces;\ndo not hard wrap lines;\nuse emphasis (*) and bold (**) sparingly;\nalways use fenced code blocks instead of indented blocks;\nfollow the conventions outlined in the Julia documentation page on documentation.","category":"page"},{"location":"man/latentheat/#Latent-heat","page":"Latent heat","title":"Latent heat","text":"","category":"section"},{"location":"man/latentheat/#Methods","page":"Latent heat","title":"Methods","text":"","category":"section"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"Latent heat (of crystallisation) can be implemented as a source term (usually numerically not very stable):","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"ConstantLatentHeat","category":"page"},{"location":"man/latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","page":"Latent heat","title":"GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","text":"ConstantLatentHeat(Q_L=400kJ/kg)\n\nSet a constant latent heat:\n\n    Q_L  = cst\n\nwhere Q_L is the latent heat [Jkg].\n\n\n\n\n\n","category":"type"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"Alternatively, you can implement it by modifying the heat capacity, which is often numerically better.","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"Latent_HeatCapacity","category":"page"},{"location":"man/latentheat/#GeoParams.MaterialParameters.HeatCapacity.Latent_HeatCapacity","page":"Latent heat","title":"GeoParams.MaterialParameters.HeatCapacity.Latent_HeatCapacity","text":"Latent_HeatCapacity(Cp=ConstantHeatCapacity(), Q_L=400kJ/kg)\n\nThis takes the effects of latent heat into account by modifying the heat capacity in the temperature equation:\n\nrho C_p^textrmnew fracpartial Tpartial t  = fracpartial partial x_i left( k fracpartial Tpartial x_i right)  + H_s\n\nwith\n\nC_p^textrmnew  = C_p + fracpartial phipartial T Q_L\n\nwhere Q_L is the latent heat [Jkg], and fracpartial phipartial T is the derivative of the melt fraction with respect to temperature\n\n\n\n\n\n","category":"type"},{"location":"man/zirconages/#Zircon-age-parameterizations","page":"Zircon Ages","title":"Zircon age parameterizations","text":"","category":"section"},{"location":"man/zirconages/#Methods","page":"Zircon Ages","title":"Methods","text":"","category":"section"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"Zircons are one of the ways in which we can date the age & activity of magmatic systems. Here, we provide a computational routine that computes the zircon age distribution from temperature-time paths","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.ZirconAgeData","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.ZirconAgeData","page":"Zircon Ages","title":"GeoParams.ZirconAges.ZirconAgeData","text":"ZirconAgeData\n\nStruct that holds default parameters for the calculations\n\n\n\n\n\n","category":"type"},{"location":"man/zirconages/#Computational-routines","page":"Zircon Ages","title":"Computational routines","text":"","category":"section"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"There is one main routine with which you can compute zircon age probability density functions from a range of temperature-ime paths:","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.compute_zircon_age_PDF","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.compute_zircon_age_PDF","page":"Zircon Ages","title":"GeoParams.ZirconAges.compute_zircon_age_PDF","text":"time_Ma, PDF_zircons, time_Ma_average, PDF_zircon_average, time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF = compute_zircon_age_PDF(time_years_vecs::Vector{Vector}, Tt_paths_Temp_vecs::Vector{Vector}; ZirconData::ZirconAgeData = ZirconAgeData(), bandwidth=bandwidth, n_analyses=300)\n\nThis computes the PDF (probability density function) with zircon age data from Vectors with Tt-paths\t\n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"This, in turn, calls two other routines:","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.compute_zircons_Ttpath\nGeoParams.zircon_age_PDF","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.compute_zircons_Ttpath","page":"Zircon Ages","title":"GeoParams.ZirconAges.compute_zircons_Ttpath","text":"prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF =  compute_zircons_Ttpath(time_years::AbstractArray{Float64,1}, Tt_paths_Temp::AbstractArray{Float64,2}; ZirconData::ZirconAgeData)\n\nThis computes the number of zircons produced from a series of temperature-time path's.  The Tt-paths are stored in a 2D matrix Tt_paths_Temp with rows being the temperature at time time_years.\n\nInput:\n\ntime_years : vector of length nt with the time in years (since the beginning of the simulation) of the points provided\nTt_paths_Temp : array of size (nt,npaths)` with the temperature of every path.\n\nOutput:\n\nprob : a vector that gives the relative probability that a zircon with a given age exists\nages_eruptible : age of eruptble magma\nnumber_zircons : 1D array of size (nt,)\nT_av_time: vector of size nt that contains the average T of the paths\nT_sd_time: vector of size nt that contains the standard deviation of the T of the paths\ncumPDF: vector of size nt that contains the cumulative probability density function that we have an age of less than a certain one in the samples\n\nThis routine was developed based on an R-routine provided as electronic supplement in the paper:\n\nWeber, G., Caricchi, L., Arce, J.L., Schmitt, A.K., 2020. Determining the current size and state of subvolcanic magma reservoirs. Nat Commun 11, 5477. https://doi.org/10.1038/s41467-020-19084-2\n\n\n\n\n\ntime_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF  = compute_zircons_Ttpath(time_years_vecs::Vector{Vector{Float64}}, Tt_paths_Temp::Vector{Vector{Float64}}; ZirconData::ZirconAgeData = ZirconAgeData())\n\nThis accepts Vector{Vector} as input for time and temperature of each Tt-path. Here, the length of the vector can be variable between different points.\n\nInternally, we interpolate this into a 2D matrix and a longer vector that includes all paths and a single vector with times \n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/#GeoParams.ZirconAges.zircon_age_PDF","page":"Zircon Ages","title":"GeoParams.ZirconAges.zircon_age_PDF","text":"zircon_age_PDF(ages_eruptible::AbstractArray{Float64,1}, number_zircons::AbstractArray{Float64,2}, bandwidth=1e5, n_analyses=300, ZirconData::ZirconAgeData)\n\nCompute probability density functions for zircon age path's describes in number_zircons with age ages_eruptible (both computed ). bandwidth is the smoothening window of the resulting curves (in years), whereas n_analyses are the number of analyses done. \t\n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"We also provide a plotting routine, provided the GLMakie.jl package is loaded, which produces figures such as: (Image: subet3)","category":"page"},{"location":"man/TASclassification/#TAS-rock-classification","page":"TAS classification","title":"TAS rock classification","text":"","category":"section"},{"location":"man/TASclassification/#Methods","page":"TAS classification","title":"Methods","text":"","category":"section"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"When doing coupled petrological-geodynamic modelling, the evolution of the composition of the magma is more easily understood when a rock type is given. This routine is an implementation of the TAS diagram (Total Alkali (TA) vs Silica (S)) from Le Maitre et al., 2002.","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.TASclassificationData","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.TASclassificationData","page":"TAS classification","title":"GeoParams.TASclassification.TASclassificationData","text":"TASclassificationData\n\nStruct that holds default parameters for the TAS diagram\n\n\n\n\n\n","category":"type"},{"location":"man/TASclassification/#Computational-routine","page":"TAS classification","title":"Computational routine","text":"","category":"section"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"There is one routine with which you can retrieve the index of the TAS rock-type. The routine receives as an input a compositional vector [SiO2,Na2O+K2O] in wt% and sends back an index [1-15].","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.computeTASclassification","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.computeTASclassification","page":"TAS classification","title":"GeoParams.TASclassification.computeTASclassification","text":"classIndex computeTASclassification(chemComp::AbstractArray{_T,N}, ClassTASdata::TASclassificationData)\n\nThis compute the classification of the igneous rock using TAS diagram (Total Alkali (TA) vs Silica (S)).\n\nInput:\n\nchemComp : vector rock composition in oxide wt%\n\nOutput:\n\nclassIndex : an integer [0-14] corresponding to a TAS field (TASclassificationData.litho[classIndex])\n\nThis routine was developed based the TAS classification of Le Maitre et al., 2002\n\n\n\n\n\n","category":"function"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"Using the index of the rock-type you can get the name of the corresponding volcanic rock using the following routine.","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.retrieveTASrockType","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.retrieveTASrockType","page":"TAS classification","title":"GeoParams.TASclassification.retrieveTASrockType","text":"retrieveTASrockType(index::Int64; ClassTASdata::TASclassificationData = TASclassificationData())\n\nThis retrieves the name of the volcanic rock-type using the computed index\n\nInput:\n\nindex : integer [1-15]\n\nOutput:\n\nlitho : a string of the name of corresponding volcanic rock\n\n\n\n\n\n","category":"function"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"We also provide a plotting routine, provided the GLMakie.jl package is loaded, which produces figures such as: (Image: subet3)","category":"page"},{"location":"man/radioactiveheating/#Radioactive-heat","page":"Radioactive heat","title":"Radioactive heat","text":"","category":"section"},{"location":"man/radioactiveheating/#Methods","page":"Radioactive heat","title":"Methods","text":"","category":"section"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"Radioactive heat sources are defined as ","category":"page"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat\nGeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat","category":"page"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","text":"ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)\n\nSet a constant radioactive heat:\n\n    H_r  = cst\n\nwhere H_r is the radioactive heat source [Wattm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat","text":"ExpDepthDependent(H_0=1e-6Watt/m^3, h_r=10e3m, z_0=0m)\n\nSets an exponential depth-dependent radioactive \n\n    H_r  = H_0 exp left( - (z - z_0) over h_r right)\n\nwhere H_0 is the radioactive heat source [Wattm^3] at z=z_0 which decays with depth over a characteristic distance h_r.\n\n\n\n\n\n","category":"type"},{"location":"man/tables/#Tables","page":"Tables","title":"Tables","text":"","category":"section"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"There are two different formats of output tables that can be produced:","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"LaTeX (always comes with \"References.bib\" for citations)\nMarkdown","category":"page"},{"location":"man/tables/#Producing-output-table","page":"Tables","title":"Producing output table","text":"","category":"section"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"ParameterTable() is used to produce an output table of all the material parameters in your phase(s) in LaTeX or Markdown format. All you need is a dimensional phase as defined in section 2. Material Parameters in the README.md of GeoParams. This phase should be given to ParameterTable as first argument. There are optional arguments which can be given in ParameterTable. Those are format, filename and rdigits. The format keyword determines whether your table should be in LaTeX or Markdown format (should be given as string). filename determines the name of the file but can also be used to save the file in a different directory other than the GeoParams package directory (should be given as string, note: no file endings needed since they will be determined by the format keyword!). rdigits gives the numbers of decimals to which all parameter values will be rounded (should be given as integer).","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"Example 1:","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"julia> MatParam = SetMaterialParams(Name=\"Viscous Matrix\", Phase=1,\n                                     Density   = ConstantDensity(),\n                                     CreepLaws = LinearViscous(η=1e23Pa*s))\n\njulia> ParameterTable(MatParam, format=\"tex\", filename=\"ParameterTable\", rdigits=4)","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"(Image: latex)","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"Example 2:","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"julia> ParameterTable(MatParam, format=\"md\", filename=\"ParameterTable\", rdigits=4)","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"(Image: markdown)","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"GeoParams.ParameterTable\nGeoParams.Phase2Dict\nGeoParams.Phase2DictMd\nGeoParams.Dict2LatexTable\nGeoParams.Dict2MarkdownTable\nGeoParams.detachFloatfromExponent","category":"page"},{"location":"man/tables/#GeoParams.Tables.ParameterTable","page":"Tables","title":"GeoParams.Tables.ParameterTable","text":"ParameterTable() creates a table with all parameters saved in the Phase struct. It lets you choose between \"latex\" and \"markdown\" as table formats with LaTeX as default. Creates a filename.tex or filename.md file as output. If \"latex\" is chosen a \"Reference.bib\" file will automatically be produced with all your references. Storage path by default is the GeoParams package folder. A specific storage path can be given as normal path with \"\\filename\" in the end as a string. Use double backslash for subfolders. There is no file extension needed to be given.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.Phase2Dict","page":"Tables","title":"GeoParams.Tables.Phase2Dict","text":"Phase2Dict() puts all parameters of a phase s in a dict.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.Phase2DictMd","page":"Tables","title":"GeoParams.Tables.Phase2DictMd","text":"Phase2DictMd() puts all parameters of a phase in a dict.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.Dict2LatexTable","page":"Tables","title":"GeoParams.Tables.Dict2LatexTable","text":"Dict2LatexTable() writes a .tex file with all parameters from the Phase2Dict() output in a LaTeX table. rdigits will round numbers with more decimals than rdigits including numbers of 10 to power of n, n being an Integer, for representation purposes. For the exact numbers use the original implemented numbers from the creeplaws of the dict in src/CreepLaw/Data/DiffusionCreep.jl or src/CreepLaw/Data/DislocationCreep.jl.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.Dict2MarkdownTable","page":"Tables","title":"GeoParams.Tables.Dict2MarkdownTable","text":"Dict2MarkdownTable() writes a .md file with all parameters from the Phase2DictMd() output in a Markdown table. rdigits will round numbers with more decimals than rdigits including numbers of 10 to power of n, n being an Integer, for representation purposes. For the exact numbers use the original implemented numbers from the creeplaws of the dict in src/CreepLaw/Data/DiffusionCreep.jl or src/CreepLaw/Data/DislocationCreep.jl.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.detachFloatfromExponent","page":"Tables","title":"GeoParams.Tables.detachFloatfromExponent","text":"detachFloatfromExponent() returns the number of float decimals after the comma as Integer, the float number without the exponent as string and the exponent after the \"e\" as string. The argument output returns \"1\" for \"ex\" if the input number has no exponent.\n\n\n\n\n\n","category":"function"},{"location":"man/listfunctions/#List-of-all-functions","page":"List of functions","title":"List of all functions","text":"","category":"section"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity","page":"Seismic Velocity","title":"Seismic velocity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"Seismic velocity can specified in a number of ways","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","text":"ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)\n\nSet a constant seismic P and S-wave velocity:\n\n    V_p = cst\n\n    V_s = cst\n\nwhere V_p V_s are the P-wave and S-wave velocities [kms].\n\n\n\n\n\n","category":"type"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity-correction-for-partial-melt","page":"Seismic Velocity","title":"Seismic velocity correction for partial melt","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-2","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"The routine uses the reduction formulation of Clark et al., (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.","category":"page"},{"location":"man/seismicvelocity/#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity","page":"Seismic Velocity","title":"Seismic S-wave velocity correction for (shallow depth) porosity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-3","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"This routine is based on the equilibrium geometry model for the solid skeleton of Takei et al. (1998) and the porosity-depth empirical relationship of Chen et al. (2020)","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity-correction-for-anelasticity","page":"Seismic Velocity","title":"Seismic velocity correction for anelasticity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-4","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"The routine uses the reduction formulation of karato (1993), using the quality factor formulation from Behn et al. (2009)","category":"page"},{"location":"man/seismicvelocity/#Computational-routines","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute a correction of S-wave velocity for anelasticity, use this:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.anelastic_correction","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction","text":"    Vs_anel = anelastic_correction(water::Int64, Vs0::Float64,P::Float64,T::Float64)\n\nThis routine computes a correction of S-wave velocity for anelasticity\n\nInput:\n\nwater: water flag, 0 = dry; 1 = dampened; 2 = water saturated \nVs0  : S-wave velocitiy of the solid phase (with or without melt correction)\nP    : pressure given in Pa\nT    : temperature given in °K\n\nOutput:\n\nVs_anel : corrected S-wave velocity for anelasticity\n\nThe routine uses the reduction formulation of Karato (1993), using the quality factor formulation from Behn et al. (2009)\n\nReferences:\n\nKarato, S. I. (1993). Importance of anelasticity in the interpretation of seismic tomography. Geophysical research letters, 20(15), 1623-1626.\nBehn, M. D., Hirth, G., & Elsenbeck II, J. R. (2009). Implications of grain size evolution on the seismic structure of the oceanic upper mantle. Earth and Planetary Science Letters, 282(1-4), 178-189.\n\n\n\n\n\n","category":"function"},{"location":"man/plasticity/#Plasticity","page":"Plasticity","title":"Plasticity","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"Plasticity is a non-linear rheology that is activated once stresses exceed a certain yield criteria.","category":"page"},{"location":"man/plasticity/#Implemented-laws","page":"Plasticity","title":"Implemented laws","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"The following plastic law are implemented:","category":"page"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"GeoParams.MaterialParameters.ConstitutiveRelationships.DruckerPrager\nGeoParams.MaterialParameters.ConstitutiveRelationships.DruckerPrager_regularised","category":"page"},{"location":"man/plasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.DruckerPrager","page":"Plasticity","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.DruckerPrager","text":"DruckerPrager(ϕ=30, Ψ=0, C=10e6Pa)\n\nSets parameters for Drucker-Prager plasticity, where the yield stress sigma_y is computed by\n\n    sigma_y = (P-P_f)tan(ϕ) + C\n\nwith phi being the friction angle (in degrees), C cohesion, P dynamic pressure and P_f the fluid pressure (both positive under compression).  \n\nYielding occurs when the second invariant of the deviatoric stress tensor, tau_II=(05tau_ijtau_ij)^05 touches the yield stress.  This can be computed with the yield function F and the plastic flow potential Q, which are respectively given by \n\n    F = tau_II - cos(ϕ)C - sin(ϕ)(P-P_f)\n\n    Q = tau_II - sin(Ψ)(P-P_f) \n\nHere, Ψ is the dilation angle, which must be zero for incompressible setups.\n\nPlasticity is activated when F(tau_II^trial) (the yield function computed with a trial stress) is >0. In that case, plastic strainrate dotvarepsilon^pl_ij is computed by:\n\n    dotvarepsilon^pl_ij =dotlambda partial Q over partial sigma_ij\n\nwhere dotlambda is a (scalar) that is nonzero and chosen such that the resulting stress gives F(tau_II^final)=0, and sigma_ij=-P + tau_ij denotes the total stress tensor.   \n\n\n\n\n\n","category":"type"},{"location":"man/plasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.DruckerPrager_regularised","page":"Plasticity","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.DruckerPrager_regularised","text":"DruckerPrager_regularised(ϕ=30, Ψ=0, C=10e6Pa, η_vp=1e20Pa*s)\n\nSets parameters for reularised Drucker-Prager plasticity, where the yield stress sigma_y is computed by\n\n    sigma_y = (P-P_f)tan(ϕ) + C + 2η_vpεII_pl \n\nwith phi being the friction angle (in degrees), C cohesion, P dynamic pressure, P_f the fluid pressure (both positive under compression), η_vp the regularization viscosity and εII_pl the invariant of the plastic strainrate\n\nYielding occurs when the second invariant of the deviatoric stress tensor, tau_II=(05tau_ijtau_ij)^05 touches the yield stress.  This can be computed with the yield function F and the plastic flow potential Q, which are respectively given by \n\n    F = tau_II - cos(ϕ)C - sin(ϕ)(P-P_f) - 2 eta_vp dotvarepsilonε^pl_II\n\n    Q = tau_II - sin(Ψ)(P-P_f) \n\nHere, Ψ is the dilation angle, which must be zero for incompressible setups.\n\nPlasticity is activated when F(tau_II^trial) (the yield function computed with a trial stress) is >0. In that case, plastic strainrate dotvarepsilon^pl_ij is computed by:\n\n    dotvarepsilon^pl_ij =dotlambda partial Q over partial sigma_ij\n\nwhere dotlambda is a (scalar) that is nonzero and chosen such that the resulting stress gives F(tau_II^final)=0, and sigma_ij=-P + tau_ij denotes the total stress tensor.   \n\n\n\n\n\n","category":"type"},{"location":"man/plasticity/#Computational-routines","page":"Plasticity","title":"Computational routines","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"Usually, plasticity should be defined as part of a CompositeRheology structure and calculations can be done as with all other rheology computations by using compute_τII.","category":"page"},{"location":"man/plotting/#Plotting","page":"Plotting","title":"Plotting","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"We provide a number of plotting routines. Note that these plotting routines only become available once the GLMakie package is loaded.","category":"page"},{"location":"man/plotting/#Plot-CreepLaws","page":"Plotting","title":"Plot CreepLaws","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"GeoParams.PlotStressStrainrate_CreepLaw\nGeoParams.PlotHeatCapacity\nGeoParams.PlotConductivity\nGeoParams.PlotMeltFraction\nGeoParams.PlotPhaseDiagram\nGeoParams.PlotDeformationMap","category":"page"},{"location":"man/geounit/#GeoUnit","page":"GeoUnit","title":"GeoUnit","text":"","category":"section"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Most parameters have physical units (100km, 9.81 ms⁻²). Yet, within numerical solvers it is usually not a good idea to compute with the actual SI units as they (at least in geosciences) tend to result in very large/small numbers, which can cause in roundoff errors.  Therefore, we usually convert the dimensional units into non-dimensional ones befeore starting computations. The results can than be converted back to more convenient units for us when we generate the output (plots, for example).","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"This requires a way to store the dimensions of a parameter, but also, once they are made nondimensional, the original units (otherwise we can't convert them back to dimensional values).","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"For that reason, we use the GeoUnit structure, defined as ","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"struct GeoUnit{T,U}\n    val          :: T\n    unit         :: U\n    isdimensional:: Bool\nend","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"You can define a GeoUnit as:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> a = GeoUnit(100km)\nGeoUnit{dimensional, km}, \n100.0\njulia> b=GeoUnit(100s)\nGeoUnit{dimensional, s}, \n100.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Dividing the two gives the expected result","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> c=a/b\nGeoUnit{dimensional, km s⁻¹·⁰}, \n1.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Can also be a vector:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> T = GeoUnit(100K:10.0K:1000K)\nGeoUnit{dimensional, K}, \n100.0:10.0:1000.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"The numerical value is obtained with:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> NumValue(c)\n1.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"It's unit with","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> Unit(c)\nkm s⁻¹·⁰","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"and the value with unit with","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> Value(c)\n1.0 km s⁻¹·⁰","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"If you multiply or divide a GeoUnit with a normal number, we assume that you are no longer interested in the units and you'll get a Float64:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> c*100\n100.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"The value of the GeoUnit struct becomes clear once we non-dimensionalize it (as explained in more detail in a separate page). For that, first specify which characteristic values you want to use for non-dimensionalisation: ","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> CharDim = GEO_units(length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas);","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Let's define a stress:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> σ=GeoUnit(10MPa)\nGeoUnit{dimensional, MPa}, \n10.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"And transfer it to nondimensional units:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> σ_nd = nondimensionalize(σ,CharDim)\nGeoUnit{nondimensional, MPa}, \n0.9999999999999998","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Instead of 1e7 Pa, we now have 1.0; yet at the same time we know that the original unit of σ_nd was in MPa, which allows to transfer it back to dimensional units:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> dimensionalize(σ_nd,CharDim)\nGeoUnit{dimensional, MPa}, \n10.0","category":"page"},{"location":"man/creeplaws/#CreepLaws","page":"Creep laws","title":"CreepLaws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"The following viscous creep laws are implemented:","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"GeoParams.LinearViscous\nGeoParams.PowerlawViscous\nGeoParams.DislocationCreep\nGeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep\nGeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous","text":"LinearViscous(η=1e20Pa*s)\n\nDefines a linear viscous creeplaw \n\nThe (isotopic) linear viscous rheology is given by  \n\n    tau_ij = 2 eta dotvarepsilon_ij \n\nor\n\n    dotvarepsilon_ij  = tau_ij  over 2 eta \n\nwhere eta_0 is the reference viscosity [Pa*s] at reference strain rate dotvarepsilon_0[1/s], and n the power law exponent []. \n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous","text":"PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)\n\nDefines a power law viscous creeplaw as: \n\n    tau_ij^n  = 2 eta_0 left( dotvarepsilon_ij over dotvarepsilon_0 right)\n\nwhere eta is the effective viscosity [Pa*s].\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep","text":"DislocationCreep(n = 1.0NoUnits, r = 0.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )\n\nDefines the flow law parameter of a dislocation creep law.\n\nThe (isotropic) dislocation creep law, as used by experimentalists, is given by  \n\n     dotgamma = A sigma_mathrmd^n f_mathrmH2O^r expleft(-fracE+PVRTright)\n\nwhere \n\nn is the power law exponent  \nr is the exponent of fugacity dependence \nA is a pre-exponential factor mathrmMPa^-ns^-1 (if manually defined, n and r must be either pre-defined or substituted) \nE is the activation energy mathrmkJmol \nV is the activation volume mathrmm^3mol \ndotgamma is the strain rate mathrm1s \nsigma_mathrmd is the differential stress mathrmMPa which are converted into second invariants using the Apparatus variable that can be\n\neither AxialCompression, SimpleShear or Invariant. If the flow law parameters are already given as a function of second invariants, choose Apparatus=Invariant.\n\nExample\n\njulia> x2 = DislocationCreep(n=3)\nDislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep","text":"DiffusionCreep(r = 0NoUnits, p = A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )\n\nDefines the flow law parameter of a dislocation creep law.\n\nThe (isotropic) diffusion creep law, as used by experimentalists, is given by  \n\n     dotgamma = A sigma_mathrmd d^mathrmp f_mathrmH2O^r expleft(-fracE+PVRTright)\n\nwhere \n\nr is the exponent of fugacity dependence \np is the exponent of grain size\nA is a pre-exponential factor mathrmMPa^-ns^-1 (if manually defined, n and r must be either pre-defined or substituted) \nE is the activation energy mathrmkJmol \nV is the activation volume mathrmm^3mol \ndotgamma is the strain rate mathrm1s \nsigma_mathrmd is the differential stress mathrmMPa\n\nThe experimental parameters are converted into second invariants using the Apparatus variable that can be either AxialCompression, SimpleShear or Invariant. If the flow law parameters are already given as a function of second invariants, choose Apparatus=Invariant.\n\nExample\n\njulia> x2 = DiffusionCreep(Name=\"test\")\nDiffusionCreep: Name = test, n=1.0, r=0.0, p=-3.0, A=1.5 m³·⁰ MPa⁻¹·⁰ s⁻¹·⁰, E=500.0 kJ mol⁻¹·⁰, V=2.4e-5 m³·⁰ mol⁻¹·⁰, FT=1.7320508075688772, FE=1.1547005383792517)\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","text":"SetDiffusionCreep[\"Name of Diffusion Creep\"]\n\nThis is a dictionary with pre-defined creep laws    \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#Computational-routines-for-creep-laws","page":"Creep laws","title":"Computational routines for creep laws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"Once a creep rheology is defined, we can use the following routines to perform computations within the solvers","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"GeoParams.compute_εII\nGeoParams.compute_εII!\nGeoParams.compute_τII\nGeoParams.compute_τII!","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII","text":"compute_εII(a::DiffusionCreep, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)\n\nReturns diffusion creep strainrate as a function of 2nd invariant of the stress tensor tau_II \n\n    dotε_II = A τ_II^n d^p f_H_2O^r exp left(- E + PV over RT right)\n\n\n\n\n\ncompute_εII(a::GrainBoundarySliding, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)\n\nReturns grain boundary sliding strainrate as a function of 2nd invariant of the stress tensor tau_II \n\n    dotε_II = A τ_II^n d^p exp left(- E + PV over RT right)  ÄNDERN\n\n\n\n\n\ncompute_εII(s::ConstantElasticity{_T}, τII; τII_old, dt)\n\nComputes elastic strainrate given the deviatoric stress at the current (τII) and old timestep (τII_old), for a timestep dt:\n\n    dotvarepsilon^el = 1 over 2 G D tau_II over Dt   1 over 2 G tau_II- tildetau_II^old over dt \n\nNote that we here solve the scalar equation, which is sufficient for isotropic cases. In tensor form, it would be\n\n    dotvarepsilon^el_ij = 1 over 2 G  tau_ij - tildetau_ij^old over dt \n\nhere tildetau_ij^old is the rotated old deviatoric stress tensor to ensure objectivity (this can be done with Jaumann derivative, or also by using the full rotational formula).\n\n\n\n\n\ncompute_εII(p::DruckerPrager{_T,U,U1}, λdot::_T, τII::_T,  P)\n\nThis computes plastic strain rate invariant for a given λdot\n\n\n\n\n\ncompute_εII(p::DruckerPrager_regularised{_T,U,U1}, λdot::_T, τII::_T,  P)\n\nThis computes plastic strain rate invariant for a given λdot\n\n\n\n\n\ncompute_εII(v::Parallel{T,N}, τII, args; tol=1e-6, verbose=false, n=1)\n\nComputing εII as a function of τII for a Parallel elements is (usually) a nonlinear problem\n\n\n\n\n\ncompute_εII(v::CompositeRheology{T,N}, τII, args; tol=1e-6, verbose=false, n=1)\n\nComputing εII as a function of τII for a composite element is the sum of the individual contributions\n\n\n\n\n\ncompute_εII(v::AbstractPlasticity, τII::_T, args; tol=1e-6, verbose=true)\n\nPerforms local iterations to compute the plastic strainrate. Note that the non-plastic strainrate, ε_np, should be part of args\n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!","text":"compute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)\n\nComputes strainrate as a function of stress\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)\n\nComputes strainrate as a function of stress\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, s::LinearMeltViscosity, TauII::AbstractArray{_T,N}; T, kwargs...)\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, s::ViscosityPartialMelt_Costa_etal_2009, TauII::AbstractArray{_T,N}; T, kwargs...)\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, s::LinearViscous, TauII::AbstractArray{_T,N})\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, s::ArrheniusType, TauII::AbstractArray{_T,N})\n\n\n\n\n\ncompute_εII!(ε_el::AbstractArray{_T,N}, s::ConstantElasticity{_T}; τII::AbstractArray{_T,N}, τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)\n\nIn-place computation of the elastic shear strainrate for given deviatoric stress invariants at the previous (τII_old) and new (τII) timestep, as well as the timestep dt  \n\n    dotvarepsilon^el = 1 over 2 G D tau_II over Dt   1 over 2 G tau_II- tau_II^old over dt \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII","text":"compute_τII(a::DislocationCreep, EpsII; P, T, f, args...)\n\nComputes the stress for a Dislocation creep law given a certain strain rate\n\n\n\n\n\ncomputeCreepLaw_TauII(EpsII::_T, a::DiffusionCreep; T::_T, P=zero(_T), f=one(_T), d=one(_T), kwargs...)\n\nReturns diffusion creep stress as a function of 2nd invariant of the strain rate \n\n\n\n\n\ncomputeCreepLaw_TauII(EpsII::_T, a::GrainBoundarySliding; T::_T, P=zero(_T), d=one(_T), kwargs...)\n\nReturns grain boundary sliding stress as a function of 2nd invariant of the strain rate \n\n\n\n\n\ncompute_τII(a::PeierlsCreep, EpsII; P, T, f, args...)\n\nComputes the stress for a peierls creep law given a certain strain rate.\n\n\n\n\n\ncompute_τII(s::LinearMeltViscosity, EpsII; kwargs...)\n\nReturns second invariant of the stress tensor given a 2nd invariant of strain rate tensor\n\n\n\n\n\ncompute_τII(s::ViscosityPartialMelt_Costa_etal_2009, EpsII; kwargs...)\n\nReturns second invariant of the stress tensor given a 2nd invariant of strain rate tensor\n\n\n\n\n\ncompute_τII(s::LinearViscous, EpsII; kwargs...)\n\nReturns second invariant of the stress tensor given a 2nd invariant of strain rate tensor \n\n\n\n\n\ncompute_τII(s::ArrheniusType, EpsII; kwargs...)\n\nReturns second invariant of the stress tensor given a 2nd invariant of strain rate tensor \n\n\n\n\n\ncompute_τII(s::PowerlawViscous, EpsII; kwargs...)\n\nReturns second invariant of the stress tensor given a 2nd invariant of strain rate tensor \n\n\n\n\n\nτII = compute_τII(v::CompositeRheology{T,N}, εII, args; tol=1e-6, verbose=false)\n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!","text":"compute_τII!(TauII::AbstractArray{_T,N}, a::DislocationCreep, EpsII::AbstractArray{_T,N}; \n    P =       zero(TauII)::AbstractArray{_T,N}, \n    T = ones(size(TauII))::AbstractArray{_T,N}, \n    f = ones(size(TauII))::AbstractArray{_T,N})\n\nComputes the deviatoric stress invariant for a dislocation creep law\n\n\n\n\n\ncompute_τII!(TauII::AbstractArray{_T,N}, a::PeierlsCreep, EpsII::AbstractArray{_T,N}; \n    T = ones(size(TauII))::AbstractArray{_T,N}, args...)\n\nComputes the deviatoric stress invariant for a peierls creep law.\n\n\n\n\n\ncompute_τII!(τII::AbstractArray{_T,N}, s::ConstantElasticity{_T}. ε_el::AbstractArray{_T,N}; τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)\n\nIn-place update of the elastic stress for given deviatoric strainrate invariants and stres invariant at the old (τII_old) timestep, as well as the timestep dt  \n\n    tau_II = 2 G dt dotvarepsilon^el + tau_II^old\n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#Heat-capacity","page":"Heat Capacity","title":"Heat capacity","text":"","category":"section"},{"location":"man/heatcapacity/#Methods","page":"Heat Capacity","title":"Methods","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"Heat capacity is defined as ","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity\nGeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","text":"ConstantHeatCapacity(Cp=1050J/mol/kg)\n\nSet a constant heat capacity:\n\n    Cp  = cst\n\nwhere Cp is the thermal heat capacity [JkgK].\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","text":"T_HeatCapacity_Whittington()\n\nSets a temperature-dependent heat capacity following the parameterization of Whittington et al. (2009), Nature:\n\n    Cp = (a + b T - cT^2)m\n\nwhere Cp is the heat capacity [JkgK], and abc are parameters that dependent on the temperature T [K]:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nmolmass =   0.22178kg/mol\n\nNote that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than JmolK as in eq.3/4 of the paper)\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#Computational-routines","page":"Heat Capacity","title":"Computational routines","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"To compute, use this:","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity\nGeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","text":"compute_heatcapacity(a::Vector_HeatCapacity; index::Int64, kwargs...)\n\nPointwise calculation of heat capacity from a vector where index is the index of the point\n\n\n\n\n\nCp = compute_heatcapacity(s:<AbstractHeatCapacity, P, T)\n\nReturns the heat capacity Cp at any temperature T and pressure P using any of the heat capacity laws implemented.\n\nCurrently available:\n\nConstantHeatCapacity\nT_HeatCapacity_Whittington\nLatent_HeatCapacity\n\nExample\n\nUsing dimensional units\n\njulia> T = 250.0:100:1250\njulia> Cp2 = T_HeatCapacity_Whittington()\njulia> Cp = similar(T)\njulia> args = (; T=T)\njulia> Cp =compute_heatcapacity!(Cp, Cp2, args)\n11-element Vector nitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:\n635.4269997294616 J kg⁻¹ K⁻¹\n850.7470171764261 J kg⁻¹ K⁻¹\n962.0959598489883 J kg⁻¹ K⁻¹\n1037.542043377064 J kg⁻¹ K⁻¹\n1097.351792196648 J kg⁻¹ K⁻¹\n1149.274556367170 J kg⁻¹ K⁻¹\n1157.791505094840 J kg⁻¹ K⁻¹\n1172.355487419726 J kg⁻¹ K⁻¹\n1186.919469744596 J kg⁻¹ K⁻¹\n1201.483452069455 J kg⁻¹ K⁻¹\n1216.0474343943067 J kg⁻¹ K⁻¹\n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","text":"compute_heatcapacity!(Cp::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat})\n\nIn-place computation of heat capacity Cp for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#Melting-Parameterizations","page":"Partial Melting","title":"Melting Parameterizations","text":"","category":"section"},{"location":"man/melting/#Methods","page":"Partial Melting","title":"Methods","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"A number of melting parameterisations are implemented, which can be set with:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.MeltingParam_Caricchi\nGeoParams.MeltingParam.MeltingParam_Smooth3rdOrder\nGeoParams.MeltingParam.MeltingParam_5thOrder\nGeoParams.MeltingParam.MeltingParam_4thOrder\nGeoParams.MeltingParam.MeltingParam_Quadratic\nGeoParams.MeltingParam.MeltingParam_Assimilation\nGeoParams.MeltingParam.SmoothMelting","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Caricchi","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Caricchi","text":"MeltingParam_Caricchi()\n\nImplements the T-dependent melting parameterisation used by Caricchi, Simpson et al. (as for example described in Simpson)\n\n    theta = (a - (T + c)) over b\n\n    phi_melt = 10 over (10 + e^theta)\n\nNote that T is in Kelvin. As default parameters we employ:\n\nb=23K  a=800K  c=27315K\n\nWhich gives a reasonable fit to experimental data of granodioritic composition (Piwinskii and Wyllie, 1968):\n\n(Image: MeltParam_Carrichi)\n\nReferences\n\nSimpson G. (2017) Practical finite element modelling in Earth Sciences Using MATLAB.\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Smooth3rdOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Smooth3rdOrder","text":"MeltingParam_Smooth3rdOrder()\n\nImplements the a smooth 3rd order T-dependent melting parameterisation (as used by Melnik and coworkers)\n\n    x =   (T - 27315) over 10000\n\n    theta =  a + b * x + c * x^2 + d * x^3\n\n    phi_melt = 10 over (10 + e^theta)\n\nNote that T is in Kelvin.\n\nAs default parameters we employ:\n\na=5179  b=-16190 c=16990 d = -5974\n\nwhich gives a reasonable fit to experimental data for basalt.\n\nData for rhyolite are:\n\na=30430  b=-105520 c=122049 d = -47090\n\n(Image: MeltingParam_Smooth3rdOrder) Red: Rhyolite, Blue: Basalt\n\nReferences\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_5thOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_5thOrder","text":"MeltingParam_5thOrder(a,b,c,d,e,f,T_s,T_l)\n\nUses a 5th order polynomial to describe the melt fraction phi between solidus temperature T_s and liquidus temperature T_l\n\n    phi = a T^5 + b T^4 + c T^3 + d T^2 + e T + f  textrm   for    T_s  T  T_l\n\n    phi = 1  textrm   if    TT_l\n\n    phi = 0  textrm   if    TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_5thOrder)\n\nThe default values are for a composite liquid-line-of-descent:\n\nthe upper part is for Andesite from: (Blatter, D. L. & Carmichael, I. S. (2001) Hydrous phase equilibria of a Mexican highsilica andesite: a candidate for a mantle origin? Geochim. Cosmochim. Acta 65, 4043–4065\nthe lower part is extrapolated to the granitic minimum using the Marxer & Ulmer LLD for Andesite (Marxer, F. & Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. Contributions Mineral. Petrol. 174, 84)\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_4thOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_4thOrder","text":"MeltingParam_4thOrder(b,c,d,e,f,T_s,T_l)\n\nUses a 4th order polynomial to describe the melt fraction phi between solidus temperature T_s and liquidus temperature T_l\n\n    phi = b T^4 + c T^3 + d T^2 + e T + f  textrm   for    T_s  T  T_l\n\n    phi = 1 textrm   if    TT_l\n\n    phi = 0  textrm   if    TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_4thOrder)\n\nThe default values are for Tonalite experiments from Marxer and Ulmer (2019):\n\nMarxer, F. & Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. Contributions Mineral. Petrol. 174, 84\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Quadratic","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Quadratic","text":"MeltingParam_Quadratic(T_s,T_l)\n\nQuadratic melt fraction parameterisation where melt fraction phi depends only on solidus (T_s) and liquidus (T_l) temperature:\n\n    phi = 10 - left( T_l - T over T_l - T_s right)^2\n\n    phi = 10 textrm if  TT_l\n\n    phi = 00 textrm if  TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_Quadratic)\n\nThis was used, among others, in Tierney et al. (2016) Geology\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Assimilation","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Assimilation","text":"MeltingParam_Assimilation(T_s,T_l,a)\n\nMelt fraction parameterisation that takes the assimilation of crustal host rocks into account, as used by Tierney et al. (2016) based upon a parameterisation of Spera and Bohrson (2001)\n\nHere, the fraction of molten and assimilated host rocks phi depends on the solidus (T_s) and liquidus (T_l) temperatures of the rocks, as well as on a parameter a=0005\n\n    X = left( T - T_s over T_l - T_s right)\n\n    phi = a cdot left( exp^2ln(100)X - 10 right) textrm if  X  05\n\n    phi = 1- a cdot exp^2ln(100)(1-X)  textrm if  X  05\n\n    phi = 10 textrm if  TT_l\n\n    phi = 00 textrm if  TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_Assimilation)\n\nThis was used, among others, in Tierney et al. (2016), who employed as default parameters:\n\n   T_s=97315 T_l=117315 a=0005\n\nReferences\n\nSpera, F.J., and Bohrson, W.A., 2001, Energy-Constrained Open-System Magmatic Processes I: General Model and Energy-Constrained Assimilation and Fractional Crystallization (EC- AFC) Formulation: Journal of Petrology, v. 42, p. 999–1018.\nTierney, C.R., Schmitt, A.K., Lovera, O.M., de Silva, S.L., 2016. Voluminous plutonism during volcanic quiescence revealed by thermochemical modeling of zircon. Geology 44, 683–686. https://doi.org/10.1130/G37968.1\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.SmoothMelting","page":"Partial Melting","title":"GeoParams.MeltingParam.SmoothMelting","text":"SmoothMelting(; p=MeltingParam_4thOrder(), k_sol=0.2/K,  k_liq=0.2/K)\n\nThis smoothens the melting parameterisation p around the solidus T_sol and liquidus T_liq using a smoothened Heaviside step functions for the solidus:\n\n    H_sol =  10 over  1 + exp( -2 k_sol (T - T_sol - 2 over k_sol) )  \n\nand liquidus:\n\n    H_liq =  10 - 10 over  1 + exp( -2 k_liq (T - T_liq + 2 over k_liq) )  \n\nThe resulting melt fraction phi is computed from the original melt fraction phi_0 (computed using one of the methods above) as:\n\n    phi =  phi_0 H_sol H_liq + 10 - H_liq\n\nThe width of the smoothening zones is controlled by k_sol k_liq (larger values = sharper boundary).\n\nThis is important, as jumps in the derivative dϕdT can cause numerical instabilities in latent heat computations, which is prevented with this smoothening.\n\nExample\n\nLet's consider a 4th order parameterisation:\n\njulia> using GLMakie, GeoParams\njulia> p = MeltingParam_4thOrder();\njulia> T= collect(650.0:1:1050.) .+ 273.15;\njulia> T,phi,dϕdT =  PlotMeltFraction(p,T=T);\n\nThe same but with smoothening:\n\njulia> p_s = SmoothMelting(p=MeltingParam_4thOrder(), k_liq=0.21/K);\n4th order polynomial melting curve: phi = -7.594512597174117e-10T^4 + 3.469192091489447e-6T^3 + -0.00592352980926T^2 + 4.482855645604745T + -1268.730161921053  963.15 K ≤ T ≤ 1270.15 K with smooth Heaviside function smoothening using k_sol=0.1 K⁻¹·⁰, k_liq=0.11 K⁻¹·⁰\njulia> T_s,phi_s,dϕdT_s =  PlotMeltFraction(p_s,T=T);\n\nWe can create plots of this with:\n\njulia> plt1 = plot(T.-273.15, phi, ylabel=\"Melt Fraction ϕ\", color=:red, label=\"original\", xlabel=\"Temperature [C]\")\njulia> plt1 = plot(plt1, T.-273.15, phi_s,  color=:black, label=\"smoothened\", legend=:bottomright)\njulia> plt2 = plot(T.-273.15, dϕdT, ylabel=\"dϕ/dT\", color=:red, label=\"original\", xlabel=\"Temperature [C]\")\njulia> plt2 = plot(plt2, T.-273.15, dϕdT_s,  color=:black, label=\"smoothened\", legend=:topright)\njulia> plot!(plt1,plt2,   xlabel=\"Temperature [C]\", layout=(2,1))\n\nThe derivative no longer has a jump now:\n\n(Image: MeltingParam_Smooth)\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#Computational-routines","page":"Partial Melting","title":"Computational routines","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"To compute the melt fraction at given T and P, use:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.compute_meltfraction!\nGeoParams.MeltingParam.compute_meltfraction","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction!","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction!","text":"compute_meltfraction!(ϕ::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T:AbstractArray{<:AbstractFloat}, p::PhaseDiagram_LookupTable)\n\nIn-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified.\n\n\n\n\n\ncompute_meltfraction(ϕ::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction","text":"compute_meltfraction(P,T, p::AbstractPhaseDiagramsStruct)\n\nComputes melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified.\n\n\n\n\n\nϕ = compute_meltfraction(Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"You can also obtain the derivative of melt fraction versus temperature with (useful to compute latent heat effects):","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.compute_dϕdT!\nGeoParams.MeltingParam.compute_dϕdT","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.compute_dϕdT!","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_dϕdT!","text":"compute_dϕdT!(ϕ::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputates the derivative of melt fraction ϕ versus temperature T, partial phi over partial T for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays. This is employed, for example, in computing latent heat terms in an implicit manner.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#GeoParams.MeltingParam.compute_dϕdT","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_dϕdT","text":"compute_dϕdT(P,T, p::AbstractPhaseDiagramsStruct)\n\nComputes derivative of melt fraction vs T in case we use a phase diagram lookup table. The table should have the column :meltFrac specified. The derivative is computed by finite differencing.\n\n\n\n\n\nϕ = compute_dϕdT(Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputates the derivative of melt fraction ϕ versus temperature T for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays. This is employed in computing latent heat terms in an implicit manner, for example\n\n\n\n\n\n","category":"function"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"Also note that phase diagrams can be imported using PerpleX_LaMEM_Diagram, which may also have melt content information. The computational routines work with that as well.","category":"page"},{"location":"man/melting/#Plotting-routines","page":"Partial Melting","title":"Plotting routines","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"You can use the routine PlotMeltFraction to create a plot, provided that the GLMakie package has been loaded","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.PlotMeltFraction","category":"page"},{"location":"man/strengthenvelope/#D-Strength-envelope","page":"1D Strength Envelope","title":"1D Strength envelope","text":"","category":"section"},{"location":"man/strengthenvelope/","page":"1D Strength Envelope","title":"1D Strength Envelope","text":"We provide a routine for computing a 1D strength envelope and the tools for setting up a temperature structure and lithostatic pressure profile.","category":"page"},{"location":"man/strengthenvelope/","page":"1D Strength Envelope","title":"1D Strength Envelope","text":"GeoParams.ConstTemp\nGeoParams.LinTemp\nGeoParams.HalfspaceCoolTemp\nGeoParams.CompTempStruct\nGeoParams.LithPres\nGeoParams.StrengthEnvelopeComp\nGeoParams.StrengthEnvelopePlot","category":"page"},{"location":"man/strengthenvelope/#GeoParams.ConstTemp","page":"1D Strength Envelope","title":"GeoParams.ConstTemp","text":"ConstTemp(T=1000)\n\nSets a constant temperature inside the box\n\nParameters:\n\nT : the value\n\n\n\n\n\n","category":"type"},{"location":"man/strengthenvelope/#GeoParams.LinTemp","page":"1D Strength Envelope","title":"GeoParams.LinTemp","text":"LinTemp(Ttop=0, Tbot=1000)\n\nSets a linear temperature structure from top to bottom\n\nParameters:\n\nTtop: the value @ the top\nTbot: the value @ the bottom\n\n\n\n\n\n","category":"type"},{"location":"man/strengthenvelope/#GeoParams.HalfspaceCoolTemp","page":"1D Strength Envelope","title":"GeoParams.HalfspaceCoolTemp","text":"HalfspaceCoolTemp(Tsurface=0, Tmantle=1350, Age=60, Adiabat=0)\n\nSets a halfspace temperature structure in plate\n\nParameters:\n\nTsurface: surface temperature [C]\nTmantle:  mantle temperature [C]\nAge:      Thermal Age of plate [Myrs]\nAdiabat:  Mantle Adiabat [K/km]\n\n\n\n\n\n","category":"type"},{"location":"man/strengthenvelope/#GeoParams.CompTempStruct","page":"1D Strength Envelope","title":"GeoParams.CompTempStruct","text":"CompTempStruct(Z, s::AbstractTempStruct)\n\nReturns a temperature vector that matches the coordinate vector and temperature structure that were passed in\n\nParameters:\n\nZ: vector with depth coordinates\ns: Temperature structure (CostTemp, LinTemp, HalfspaceCoolTemp)\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#GeoParams.LithPres","page":"1D Strength Envelope","title":"GeoParams.LithPres","text":"LithPres(MatParam, Phases, ρ, T, dz, g)\n\nIteratively solves a 1D lithostatic pressure profile (compatible with temperature- and pressure-dependent densities)\n\nParameters:\n\nMatParam: a tuple of materials (including the following properties: Phase, Density)\nPhases:   vector with the distribution of phases\nρ:        density vector for initial guess(can be zeros)\nT:        temperature vector\ndz:       grid spacing\ng:        gravitational acceleration\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#GeoParams.StrengthEnvelopeComp","page":"1D Strength Envelope","title":"GeoParams.StrengthEnvelopeComp","text":"StrengthEnvelopeComp(MatParam::NTuple{N, AbstractMaterialParamsStruct}, Thickness::Vector{U}, TempType::AbstractTempStruct=LinTemp(0C, 800C), ε=1e-15/s, nz::Int64=101) where {N, U}\n\nCalculates a 1D strength envelope. Pressure used for Drucker Prager plasticity is lithostatic. To visualize the results in a GUI, use StrengthEnvelopePlot.\n\nParameters:\n\nMatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)\nThickness: a vector listing the thicknesses of the respective layers (should carry units)\nTempType:  the type of temperature profile (ConstTemp(), LinTemp(), HalfspaceCoolTemp())\nε:         background strainrate\nnz:        optional argument controlling the number of points along the profile (default = 101)\n\nExample:\n\njulia> using GLMakie\njulia> MatParam = (SetMaterialParams(Name=\"UC\", Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(\"Wet Quartzite | Ueda et al. (2008)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),\n                   SetMaterialParams(Name=\"MC\", Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(\"Plagioclase An75 | Ji and Zhao (1993)\"), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),\n                   SetMaterialParams(Name=\"LC\", Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(\"Maryland strong diabase | Mackwell et al. (1998)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));\njulia> Thickness = [15,10,15]*km;\n\njulia> StrengthEnvelopeComp(MatParam, Thickness, LinTemp(), ε=1e-15/s)\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#GeoParams.StrengthEnvelopePlot","page":"1D Strength Envelope","title":"GeoParams.StrengthEnvelopePlot","text":"StrengthEnvelopePlot(MatParam, Thickness; TempType, nz)\n\nRequires GLMakie\n\nCreates a GUI that plots a 1D strength envelope. In the GUI, temperature profile and strain rate can be adjusted. The Drucker-Prager plasticity uses lithostatic pressure.\n\nParameters:\n\nMatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)\nThickness: a vector listing the thicknesses of the respective layers (should carry units)\nTempType:  the type of temperature profile (LinTemp=default, HalfspaceCoolTemp, ConstTemp)\nnz:        optional argument controlling the number of points along the profile (default = 101)\n\nExample:\n\njulia> using GLMakie\njulia> MatParam = (SetMaterialParams(Name=\"UC\", Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(\"Wet Quartzite | Ueda et al. (2008)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),\n                   SetMaterialParams(Name=\"MC\", Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(\"Plagioclase An75 | Ji and Zhao (1993)\"), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),\n                   SetMaterialParams(Name=\"LC\", Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(\"Maryland strong diabase | Mackwell et al. (1998)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));\njulia> Thickness = [15,10,15]*km;\n\njulia> StrengthEnvelopePlot(MatParam, Thickness, LinTemp())\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/","page":"1D Strength Envelope","title":"1D Strength Envelope","text":"(Image: XMasTree)","category":"page"},{"location":"man/elasticity/#Elasticity","page":"Elasticity","title":"Elasticity","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"Elasticity is, in geodynamics, often used in combination with viscous and plastic rheology. We provide the following elastic constitutive relationships:","category":"page"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"GeoParams.ConstantElasticity\nGeoParams.SetConstantElasticity","category":"page"},{"location":"man/elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity","page":"Elasticity","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity","text":"ConstantElasticity(G, ν, K, E)\n\nStructure that holds parameters for constant, isotropic, linear elasticity.\n\n\n\n\n\n","category":"type"},{"location":"man/elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity","page":"Elasticity","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity","text":"SetConstantElasticity(; G=nothing, ν=nothing, E=nothing, Kb=nothing)\n\nThis allows setting elastic parameters by specifying 2 out of the 4 elastic parameters G (Elastic shear modulus), ν (Poisson's ratio), E (Young's modulus), or Kb (bulk modulus).\n\n\n\n\n\n","category":"function"},{"location":"man/viscosity/#Effective-viscosity","page":"Viscosity","title":"Effective viscosity","text":"","category":"section"},{"location":"man/viscosity/","page":"Viscosity","title":"Viscosity","text":"To compute the viscosity given stress of strainrate use:","category":"page"},{"location":"man/viscosity/","page":"Viscosity","title":"Viscosity","text":"GeoParams.compute_viscosity_εII\nGeoParams.compute_viscosity_τII","category":"page"},{"location":"man/viscosity/#GeoParams.compute_viscosity_εII","page":"Viscosity","title":"GeoParams.compute_viscosity_εII","text":"compute_viscosity_εII(s::AbstractConstitutiveLaw, εII, kwargs...)\n\nCompute effective viscosity given a 2nd invariant of the deviatoric strain rate tensor, extra parameters are passed as a named tuple, e.g., (;T=T) \n\n\n\n\n\n","category":"function"},{"location":"man/viscosity/#GeoParams.compute_viscosity_τII","page":"Viscosity","title":"GeoParams.compute_viscosity_τII","text":"compute_viscosity_τII(s::AbstractConstitutiveLaw, τII, kwargs...)\n\nCompute effective viscosity given a 2nd invariant of the deviatoric stress tensor and, extra parameters are passed as a named tuple, e.g., (;T=T) \n\n\n\n\n\n","category":"function"},{"location":"man/shearheating/#Shear-heating","page":"Shear heating","title":"Shear heating","text":"","category":"section"},{"location":"man/shearheating/#Methods","page":"Shear heating","title":"Methods","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"Heat caused by non-recoverable deformation can be specified in ","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","text":"ConstantShearheating(Χ=0.0NoUnits)\n\nSet the shear heating efficiency [0-1] parameter\n\nΧ  = cst\n\nwhere Chi is the shear heating efficiency [NoUnits]\n\nShear heating is computed as\n\nH_s = Chi cdot tau_ij(dotvarepsilon_ij - dotvarepsilon^el_ij)\n\n\n\n\n\n","category":"type"},{"location":"man/shearheating/#Computational-routines","page":"Shear heating","title":"Computational routines","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"To compute, use this:","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.compute_shearheating\nGeoParams.MaterialParameters.Shearheating.compute_shearheating!","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating","text":"H_s = compute_shearheating(s:<AbstractShearheating, τ, ε, ε_el)\n\nComputes the shear heating source term\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\n\n\n\n\nH_s = ComputeShearheating(s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating!","text":"compute_shearheating!(H_s, s:<AbstractShearheating,  τ, ε, ε_el)\n\nComputes the shear heating source term in-place\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\nNOTE: The shear heating terms require the full deviatoric stress & strain rate tensors, i.e.:\n\n2D tau_ij = left(\n                beginmatrix\n                    tau_xx  tau_xz \n                    tau_zx  tau_zz\n                endmatrix\n            right)\n\nSince tau_zx=tau_xz, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used!\n\n\n\n\n\ncompute_shearheating!(H_s, s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term H_s in-place when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#Nondimensionalization","page":"Nondimensionalization","title":"Nondimensionalization","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between GEO, SI or NO units:","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"SI units assume all input and output is in SI units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).\nGEO units uses SI units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as Myrs,km or MPa\nNO units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that velocity is given in m/s).","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"A dimensional parameter can be transformed into a non-dimensional one with nondimensionalize.","category":"page"},{"location":"man/nondimensionalize/#Specify-characteristic-values","page":"Nondimensionalization","title":"Specify characteristic values","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Characteristic values can be defined in 3 ways.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"GeoParams.Units\nAbstractGeoUnit\nGeoUnit\nGeoUnits\nGEO_units\nSI_units\nNO_units\n@unpack_val\n@unpack_units","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units","page":"Nondimensionalization","title":"GeoParams.Units","text":"This provides units and creates a non-dimensionalization object\n\n\n\n\n\n","category":"module"},{"location":"man/nondimensionalize/#GeoParams.Units.AbstractGeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.AbstractGeoUnit","text":"AbstractGeoUnit\n\nAbstract supertype for geo units.\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnit","text":"Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.\n\nHaving that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.\nWith the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnits","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnits","text":"GeoUnits\n\nStructure that holds parameters used for non-dimensionalization\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GEO_units","page":"Nondimensionalization","title":"GeoParams.Units.GEO_units","text":"GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)\n\nCreates a non-dimensionalization object using GEO units.\n\nGEO units implies that upon dimensionalization, time will be in Myrs, length in km, stress in MPa, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (km or m), provided the unit is specified.\n\nExamples:\n\njulia> CharUnits = GEO_units()\nEmploying GEO units \nCharacteristic values: \n         length:      1000 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\njulia> CharUnits.velocity\n1.0e-7 m s⁻¹\n\nIf we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic length:\n\njulia> CharUnits = GEO_units(length=10km)\nEmploying GEO units \nCharacteristic values: \n         length:      10 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.SI_units","page":"Nondimensionalization","title":"GeoParams.Units.SI_units","text":"CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)\n\nSpecify the characteristic values using SI units \n\nExamples:\n\njulia> CharUnits = SI_units(length=1000m)\nEmploying SI units \nCharacteristic values: \n         length:      1000 m\n         time:        1.0e19 s\n         stress:      10 Pa\n         temperature: 1000.0 K\n\nNote that the same can be achieved if the input is given in km:\n\njulia> CharUnits = SI_units(length=1km)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.NO_units","page":"Nondimensionalization","title":"GeoParams.Units.NO_units","text":"CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)\n\nSpecify the characteristic values in non-dimensional units\n\nExamples:\n\njulia> using GeoParams;\njulia> CharUnits = NO_units()\nEmploying NONE units \nCharacteristic values: \n         length:      1\n         time:        1.0 \n         stress:      1\n         temperature: 1.0\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_val","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_val","text":"This unpacks the numerical value of `GeoUnit` in a structure, without the units.\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_val ρ,α = r\njulia> α\n4.0e-5\njulia> typeof(α)\nFloat64\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_units","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_units","text":"This unpacks the numerical value with units of `GeoUnit` parameters in a structure\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_units ρ,α = r\njulia> α\n4.0e-5 K⁻¹·⁰\njulia> typeof(α)\nQuantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#(Non)-dimensionalize-parameters","page":"Nondimensionalization","title":"(Non)-dimensionalize parameters","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"nondimensionalize\ndimensionalize\nisDimensional","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units.nondimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.nondimensionalize","text":"nondimensionalize(param, CharUnits::GeoUnits{TYPE})\n\nNondimensionalizes param using the characteristic values specified in CharUnits\n\nExample 1\n\njulia> using GeoParams;\njulia> CharUnits =   GEO_units();\njulia> v         =   3cm/yr\n3 cm yr⁻¹ \njulia> v_ND      =   nondimensionalize(v, CharUnits) \n0.009506426344208684\n\nExample 2\n\nIn geodynamics one sometimes encounters more funky units\n\njulia> CharUnits =   GEO_units();\njulia> A         =   6.3e-2MPa^-3.05*s^-1\n0.063 MPa⁻³·⁰⁵ s⁻¹\njulia> A_ND      =   nondimensionalize(A, CharUnits) \n7.068716262102384e14\n\nIn case you are interested to see how the units of A look like in different units, use this function from the Unitful package:\n\njulia> uconvert(u\"Pa^-3.05*s^-1\",A) \n3.157479571851836e-20 Pa⁻³·⁰⁵\n\nand to see it decomposed in the basic SI units of length, mass and time:\n\njulia> upreferred(A)\n3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵\n\n\n\n\n\nparam = nondimensionalize(param::NTuple{N,Quantity}, g::GeoUnits{TYPE})\n\nnondimensionalizes a tuple of parameters    \n\n\n\n\n\nMatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nNon-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\n\n\nnondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nnondimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\nMatParam_ND = nondimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)\n\nNon-dimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.dimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.dimensionalize","text":"dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes param into the dimensions param_dim using the characteristic values specified in CharUnits.  \n\nExample\n\njulia> CharUnits =   GEO_units();\njulia> v_ND      =   nondimensionalize(3cm/yr, CharUnits) \n0.031688087814028945\njulia> v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) \n3.0 cm yr⁻¹\n\n\n\n\n\ndimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\nDimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nDimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\ndimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)\n\ndimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.isDimensional","page":"Nondimensionalization","title":"GeoParams.Units.isDimensional","text":"isDimensional(MatParam::AbstractMaterialParam)\n\ntrue if MatParam is in dimensional units.    \n\n\n\n\n\n","category":"function"},{"location":"man/density/#Density","page":"Density","title":"Density","text":"","category":"section"},{"location":"man/density/#Methods","page":"Density","title":"Methods","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"The density equation of state can be specified in a number of ways","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.ConstantDensity\nGeoParams.MaterialParameters.Density.PT_Density\nGeoParams.MaterialParameters.Density.T_Density\nGeoParams.MaterialParameters.Density.Compressible_Density\nGeoParams.MaterialParameters.Density.MeltDependent_Density","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.ConstantDensity","page":"Density","title":"GeoParams.MaterialParameters.Density.ConstantDensity","text":"ConstantDensity(ρ=2900kg/m^3)\n\nSet a constant density:\n\n    rho  = cst\n\nwhere rho is the density [kgm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.PT_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.PT_Density","text":"PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)\n\nSet a pressure and temperature-dependent density:\n\n    rho  = rho_0 (10 - alpha (T-T_0) + beta  (P-P_0) )\n\nwhere rho_0 is the density [kgm^3] at reference temperature T_0 and pressure P_0, alpha is the temperature dependence of density and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.T_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.T_Density","text":"T_Density(ρ0=2900kg/m^3, α=3e-5/K, T₀=273.15K)\n\nSet a temperature-dependent density:\n\n    rho  = rho_0 (1 - alpha * (T - T_0) )\n\nwhere rho_0 is the density [kgm^3] at reference temperature T_0 and alpha the temperature dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.Compressible_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.Compressible_Density","text":"Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)\n\nSet a pressure-dependent density:\n\n    rho  = rho_0 exp(β*(P - P_0))\n\nwhere rho_0 is the density [kgm^3] at reference pressure P_0 and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.MeltDependent_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.MeltDependent_Density","text":"MeltDependent_Density(ρsolid=ConstantDensity(), ρmelt=ConstantDensity())\n\nIf we use a single phase code the average density of a partially molten rock is\n\n    rho  = phi rho_textrmmelt + (1-phi) rho_textrmsolid\n\nwhere rho is the average density [kgm^3], rho_\textrmmelt the melt density, rho_\textrmsolid the solid density and phi the melt fraction.\n\nNote that any density formulation can be used for melt and solid.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#Computational-routines","page":"Density","title":"Computational routines","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"To evaluate density within a user routine, use this:","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.compute_density\nGeoParams.MaterialParameters.Density.compute_density!","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density","text":"compute_density(P,T, s::PhaseDiagram_LookupTable)\n\nInterpolates density as a function of T,P from a lookup table\n\n\n\n\n\n","category":"function"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density!","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density!","text":"compute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I<:Integer}\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\nExample\n\njulia> MatParam = (SetMaterialParams(Name=\"Mantle\", Phase=1,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                        Density   = PT_Density()\n                        ),\n                    SetMaterialParams(Name=\"Crust\", Phase=2,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),\n                        Density   = ConstantDensity(ρ=2900kg/m^3))\n                  );\njulia> Phases = ones(Int64,400,400);\njulia> Phases[:,20:end] .= 2\njulia> rho     = zeros(size(Phases))\njulia> T       =  ones(size(Phases))\njulia> P       =  ones(size(Phases))*10\njulia> args = (P=P, T=T)\njulia> compute_density!(rho, MatParam, Phases, args)\njulia> rho\n400×400 Matrix{Float64}:\n2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n\nThe routine is made to minimize allocations:\n\njulia> using BenchmarkTools\njulia> @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)\n    203.468 μs (0 allocations: 0 bytes)\n\n_____________________________________________________________________________________________________________________________\n\ncompute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/density/","page":"Density","title":"Density","text":"Note that density values are usually not used in itself in the governing PDE's, but usually in combination with other parameters, such as rho g or rho c_p. the non-dimensional value of rho may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.","category":"page"},{"location":"man/customrheology/#User-defined-rheology","page":"Custom rheology","title":"User-defined rheology","text":"","category":"section"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"CustomRheology allows the user to interface with GeoParams.jl API for rheology calculations: ","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"struct CustomRheology{F1, F2, T} <: AbstractCreepLaw\n    strain::F1\n    stress::F2\n    args::T\nend","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"where strain and stress are functions that compute the strain rate and deviatoric stress tensors, respectively, and args is a NamedTuple containing any constant (i.e. immutable) physical parameters needed by our CustomRheology. ","category":"page"},{"location":"man/customrheology/#Example:-Arrhenious-type-rheology","page":"Custom rheology","title":"Example: Arrhenious-type rheology","text":"","category":"section"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"The deviatoric stress tau_ij and strain rate tensors dotvarepsilon_ij are simply tau_ij = 2 eta dotvarepsilon_ij and dotvarepsilon_ij  = tau_ij  over 2 eta","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"and the viscosity eta is temperature-dependant     eta = eta_0  expleft(fracET+T_o-fracET_eta+T_oright)","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"where eta_0 and T_eta are the respective reference viscosity and temperature, T_o is the offset temperature, T is the local temperature, and E is activation energy. ","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Before defining the functions to compute tau and dotvarepsilon, it is convenient to define a helper function to compute the viscosity:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"@inline function custom_viscosity(\n    a::CustomRheology; T = 0.0, kwargs...\n)\n    (; η0, E, To, Tη) = a.args\n    η = η0 * exp(E / (T + To) - E / (Tη + To))\n    return  η\nend","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Then we just need to define two simple functions to compue the second invariants of tau_ij and dotvarepsilon_ij:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"# function to compute deviatoric stress\n@inline function custom_τII(\n    a::CustomRheology, EpsII; kwargs...\n)\n    η = custom_viscosity(a; kwargs...)\n    return 2.0 * (η * EpsII)\nend\n\n# function to compute strain rate\n@inline function custom_εII(\n    a::CustomRheology, TauII; kwargs...\n)\n    η = custom_viscosity(a; kwargs...)\n    return (TauII / η) * 0.5\nend","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Note that the key word argument kwargs... is needed in all the above functions for compatibility with GeoParams.jl. ","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Finally, we need a NamedTuple containing the physical parameters needed by custom_τII and custom_εII:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"# constant parameters, these are typically wrapped into a struct (compulsory)\nparameters = (;\n    η0 = 1.0,\n    E = 23.03,\n    To = 1.0,\n    Tη = 1.0,\n)","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Then the CustomRheology object is created","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"a = CustomRheology(custom_εII, custom_τII, parameters)","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Now we can use our new rheology object with GeoParams.jl methods:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"julia> args = (; T=0.5)\n(T = 0.5,)\n\njulia> τII, εII = 1.5,  0.5\n(1.5, 0.5)\n\njulia> ε = compute_εII(v, τII, args)\n0.016147090412110487\n\njulia> τ = compute_τII(v, εII, args)\n46.44799656521971\n\njulia> dεdτ = dεII_dτII(v, τII, args)\n0.010764726941406991\n\njulia> dτdε = dτII_dεII(v, εII, args)\n92.89599313043942","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"And also works for composite rheologies:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"julia> el = ConstantElasticity(; G=1.0)\nLinear elasticity with shear modulus: G = 1.0, Poisson's ratio: ν = 0.5, bulk modulus: Kb = Inf and Young's module: E=NaN\n\njulia> c = CompositeRheology(v, el)\n--?????----/\\/\\/--\n\njulia> args = (; dt=Inf, T=0.5)\n(dt = Inf, T = 0.5)\n\njulia> ε = compute_εII(c, τII, args)\n0.016147090412110487\n\njulia> τ = compute_τII(c, εII, args)\n46.44799656521971","category":"page"},{"location":"man/gravity/#Gravitational-acceleration","page":"Gravity","title":"Gravitational acceleration","text":"","category":"section"},{"location":"man/gravity/#Methods","page":"Gravity","title":"Methods","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"Gravitational acceleration is defined as ","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","text":"GravityConstant(g=9.81m/s^2)\n\nSet a constant value for the gravitational acceleration:\n\n    g  = 981 m s^-2\n\n\n\n\n\n","category":"type"},{"location":"man/gravity/#Computational-routines","page":"Gravity","title":"Computational routines","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"To compute, use this:","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","text":"compute_gravity(s:<AbstractGravity)\n\nReturns the gravitational acceleration \n\n\n\n\n\n","category":"function"},{"location":"#GeoParams.jl","page":"Home","title":"GeoParams.jl","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:","category":"page"},{"location":"","page":"Home","title":"Home","text":"Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).\nMaterial parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. ","category":"page"},{"location":"","page":"Home","title":"Home","text":"We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).","category":"page"},{"location":"man/conductivity/#Conductivity","page":"Conductivity","title":"Conductivity","text":"","category":"section"},{"location":"man/conductivity/#Methods","page":"Conductivity","title":"Methods","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"Thermal conductivity is defined as ","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity\nGeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington\nGeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised\nGeoParams.MaterialParameters.Conductivity.TP_Conductivity\nGeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity","text":"ConstantConductivity(k=3.0W/m/K)\n\nSet a constant conductivity\n\n    k  = cst\n\nwhere k is the thermal conductivity [WmK].\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington","text":"T_Conductivity_Whittington()\n\nSets a temperature-dependent conductivity following the parameterization of Whittington, A.G., Hofmeister, A.M., Nabelek, P.I., 2009. Temperature-dependent thermal diffusivity of the Earth’s crust and implications for magmatism. Nature 458, 319–321. https://doi.org/10.1038/nature07818. Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us to compute\n\n    Cp = a + b T - cT^2\n\n    kappa = dT - e textrm if  T=846K\n\n    kappa = f - g*T textrm if  T846K\n\n    rho = 2700 kgm^3\n\n    k = kappa rho Cp\n\nwhere Cp is the heat capacity [JmolK], and abc are parameters that dependent on the temperature T:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nd = 576.3m^2/s*K\ne = 0.062m^2/s\nf = 0.732m^2/s\ng = 0.000135m^2/s/K\n\nThis looks like:\n\n(Image: subet1)\n\nExample\n\njulia> using GLMakie, GeoParams\njulia> p=T_Conductivity_Whittington();\njulia> T,k,plt = PlotConductivity(p)\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised","text":"T_Conductivity_Whittington_parameterised()\n\nSets a temperature-dependent conductivity that is  parameterization after Whittington, et al.  2009\n\nThe original parameterization involves quite a few parameters; this is a polynomial fit that is roughly valid from 0-1000 Celsius\n\n    k WmK = -2 10^-9 (T-Ts)^3 + 6 10^-6 (T-Ts)^2 - 00062 (T-Ts) + 4\n\n    Ts = 27315 K\n\nwhere T[K] is the temperature in Kelvin (or the nondimensional equivalent of it).\n\nThe comparison of this parameterisation vs. the original one is: (Image: subet1)\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.TP_Conductivity","text":"TP_Conductivity()\n\nSets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for\n\n    k = left( a_k +  b_k over T + c_k right) (1 + d_k P)\n\nwhere k is the conductivity [WKm], and a_kb_kc_kd_k are parameters that dependent on the temperature T and pressure P:\n\na_k = 1.18Watt/K/m\nb_k = 474Watt/m\nc_k = 77K\nd_k = 0/MPa\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","text":"Set_TP_Conductivity[\"Name of temperature(-pressure) dependent conductivity\"]\n\nThis is a dictionary with pre-defined laws:\n\n\"UpperCrust\"\n\"LowerCrust\"\n\"OceanicCrust\"\n\"Mantle\"\n\nExample\n\njulia> k=Set_TP_Conductivity[\"Mantle\"]\nT/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)\n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#Computational-routines","page":"Conductivity","title":"Computational routines","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"To compute, use this:","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.compute_conductivity\nGeoParams.MaterialParameters.Conductivity.compute_conductivity!","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity","text":"k = compute_conductivity(P, T, s:<AbstractConductivity)\n\nReturns the thermal conductivity k at any temperature T and pressure P using any of the parameterizations implemented.\n\nCurrently available:\n\nConstantConductivity\nT_Conductivity_Whittington\nTP_Conductivity\n\nExample\n\nUsing dimensional units\n\njulia> T  = (250:100:1250)*K;\njulia> cp = T_HeatCapacity_Whittington()\njulia> Cp = ComputeHeatCapacity(0,T,cp)\n\n\n\n\n\ncompute_conductivity!(K::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},Temp::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of conductivity K for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and Temp arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n_________________________________________________________________________________________________________\n\ncompute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of conductivity k for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity!","text":"compute_conductivity(k_array::AbstractArray{<:AbstractFloat,N},P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, s::ConstantConductivity) where N\n\nIn-place routine to compute constant conductivity\n\n\n\n\n\n","category":"function"}]
+}
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new file mode 100644
index 000000000..334349194
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+++ b/dev/siteinfo.js
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+var DOCUMENTER_CURRENT_VERSION = "dev";
diff --git a/index.html b/index.html
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+++ b/index.html
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+<meta http-equiv="refresh" content="0; url=./stable/"/>
diff --git a/stable b/stable
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index 000000000..15dc682b9
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+++ b/v0.2.1/assets/documenter.js
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+// Generated by Documenter.jl
+requirejs.config({
+  paths: {
+    'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/9.15.10/languages/julia.min',
+    'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.10.3/headroom.min',
+    'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.12.1/jquery-ui.min',
+    'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.11.1/contrib/auto-render.min',
+    'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.4.1/jquery.min',
+    'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.10.3/jQuery.headroom.min',
+    'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.11.1/katex.min',
+    'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/9.15.10/highlight.min',
+    'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/9.15.10/languages/julia-repl.min',
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+      "highlight"
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+  "katex-auto-render": {
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+      "katex"
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+  },
+  "headroom-jquery": {
+    "deps": [
+      "jquery",
+      "headroom"
+    ]
+  },
+  "highlight-julia-repl": {
+    "deps": [
+      "highlight"
+    ]
+  }
+}
+});
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) {
+$(document).ready(function() {
+  renderMathInElement(
+    document.body,
+    {
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+      "right": "$$",
+      "display": true
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+      "right": "\\]",
+      "display": true
+    }
+  ]
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+
+  );
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($, hljs) {
+$(document).ready(function() {
+    hljs.initHighlighting();
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) {
+
+// Manages the top navigation bar (hides it when the user starts scrolling down on the
+// mobile).
+window.Headroom = Headroom; // work around buggy module loading?
+$(document).ready(function() {
+  $('#documenter .docs-navbar').headroom({
+    "tolerance": {"up": 10, "down": 10},
+  });
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
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+// Modal settings dialog
+$(document).ready(function() {
+  var settings = $('#documenter-settings');
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+  $(document).keyup(function(e) {
+    if (e.keyCode == 27) settings.removeClass('is-active');
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+});
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+////////////////////////////////////////////////////////////////////////////////
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+// Manages the showing and hiding of the sidebar.
+$(document).ready(function() {
+  var sidebar = $("#documenter > .docs-sidebar");
+  var sidebar_button = $("#documenter-sidebar-button")
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+      sidebar.removeClass('visible');
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+    if(L0 > L) {
+      var h0 = parseInt(e.css('font-size'), 10);
+      e.css('font-size', L * h0 / L0);
+      // TODO: make sure it survives resizes?
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+  }
+  // call once and then register events
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+  $(window).resize(resize);
+  $(window).on('orientationchange', resize);
+});
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+  if(typeof active !== 'undefined') {
+    sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15;
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+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
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+function set_theme(theme) {
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+    var themename = ss.ownerNode.getAttribute("data-theme-name");
+    if(themename === null) continue; // ignore non-theme stylesheets
+    // Find the active theme
+    if(themename === theme) active = ss;
+    else disabled.push(ss);
+  }
+  if(active !== null) {
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+    if(active.ownerNode.getAttribute("data-theme-primary") === null) {
+      document.getElementsByTagName('html')[0].className = "theme--" + theme;
+    } else {
+      document.getElementsByTagName('html')[0].className = "";
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+    disabled.forEach(function(ss){
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+  // Store the theme in localStorage
+  if(typeof(window.localStorage) !== "undefined") {
+    window.localStorage.setItem("documenter-theme", theme);
+  } else {
+    console.error("Browser does not support window.localStorage");
+  }
+}
+
+// Theme picker setup
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+  // onchange callback
+  $('#documenter-themepicker').change(function themepick_callback(ev){
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+    set_theme(themename);
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+
+  // Make sure that the themepicker displays the correct theme when the theme is retrieved
+  // from localStorage
+  if(typeof(window.localStorage) !== "undefined") {
+    var theme =  window.localStorage.getItem("documenter-theme");
+    if(theme !== null) {
+      $('#documenter-themepicker option').each(function(i,e) {
+        e.selected = (e.value === theme);
+      })
+    } else {
+      $('#documenter-themepicker option').each(function(i,e) {
+        e.selected = $("html").hasClass(`theme--${e.value}`);
+      })
+    }
+  }
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// update the version selector with info from the siteinfo.js and ../versions.js files
+$(document).ready(function() {
+  var version_selector = $("#documenter .docs-version-selector");
+  var version_selector_select = $("#documenter .docs-version-selector select");
+
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+    target_href = version_selector_select.children("option:selected").get(0).value;
+    window.location.href = target_href;
+  });
+
+  // add the current version to the selector based on siteinfo.js, but only if the selector is empty
+  if (typeof DOCUMENTER_CURRENT_VERSION !== 'undefined' && $('#version-selector > option').length == 0) {
+    var option = $("<option value='#' selected='selected'>" + DOCUMENTER_CURRENT_VERSION + "</option>");
+    version_selector_select.append(option);
+  }
+
+  if (typeof DOC_VERSIONS !== 'undefined') {
+    var existing_versions = version_selector_select.children("option");
+    var existing_versions_texts = existing_versions.map(function(i,x){return x.text});
+    DOC_VERSIONS.forEach(function(each) {
+      var version_url = documenterBaseURL + "/../" + each;
+      var existing_id = $.inArray(each, existing_versions_texts);
+      // if not already in the version selector, add it as a new option,
+      // otherwise update the old option with the URL and enable it
+      if (existing_id == -1) {
+        var option = $("<option value='" + version_url + "'>" + each + "</option>");
+        version_selector_select.append(option);
+      } else {
+        var option = existing_versions[existing_id];
+        option.value = version_url;
+        option.disabled = false;
+      }
+    });
+  }
+
+  // only show the version selector if the selector has been populated
+  if (version_selector_select.children("option").length > 0) {
+    version_selector.toggleClass("visible");
+  }
+})
+
+})
diff --git a/v0.2.1/assets/search.js b/v0.2.1/assets/search.js
new file mode 100644
index 000000000..71ebd87ed
--- /dev/null
+++ b/v0.2.1/assets/search.js
@@ -0,0 +1,251 @@
+// Generated by Documenter.jl
+requirejs.config({
+  paths: {
+    'lunr': 'https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.6/lunr.min',
+    'lodash': 'https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.15/lodash.min',
+    'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.4.1/jquery.min',
+  }
+});
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'lunr', 'lodash'], function($, lunr, _) {
+
+$(document).ready(function() {
+  // parseUri 1.2.2
+  // (c) Steven Levithan <stevenlevithan.com>
+  // MIT License
+  function parseUri (str) {
+    var  o   = parseUri.options,
+      m   = o.parser[o.strictMode ? "strict" : "loose"].exec(str),
+      uri = {},
+      i   = 14;
+
+    while (i--) uri[o.key[i]] = m[i] || "";
+
+    uri[o.q.name] = {};
+    uri[o.key[12]].replace(o.q.parser, function ($0, $1, $2) {
+      if ($1) uri[o.q.name][$1] = $2;
+    });
+
+    return uri;
+  };
+  parseUri.options = {
+    strictMode: false,
+    key: ["source","protocol","authority","userInfo","user","password","host","port","relative","path","directory","file","query","anchor"],
+    q:   {
+      name:   "queryKey",
+      parser: /(?:^|&)([^&=]*)=?([^&]*)/g
+    },
+    parser: {
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+      loose:  /^(?:(?![^:@]+:[^:@\/]*@)([^:\/?#.]+):)?(?:\/\/)?((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?)(((\/(?:[^?#](?![^?#\/]*\.[^?#\/.]+(?:[?#]|$)))*\/?)?([^?#\/]*))(?:\?([^#]*))?(?:#(.*))?)/
+    }
+  };
+
+  $("#search-form").submit(function(e) {
+    e.preventDefault()
+  })
+
+  // list below is the lunr 2.1.3 list minus the intersect with names(Base)
+  // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with)
+  // ideally we'd just filter the original list but it's not available as a variable
+  lunr.stopWordFilter = lunr.generateStopWordFilter([
+    'a',
+    'able',
+    'about',
+    'across',
+    'after',
+    'almost',
+    'also',
+    'am',
+    'among',
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+    'and',
+    'are',
+    'as',
+    'at',
+    'be',
+    'because',
+    'been',
+    'but',
+    'by',
+    'can',
+    'cannot',
+    'could',
+    'dear',
+    'did',
+    'does',
+    'either',
+    'ever',
+    'every',
+    'from',
+    'got',
+    'had',
+    'has',
+    'have',
+    'he',
+    'her',
+    'hers',
+    'him',
+    'his',
+    'how',
+    'however',
+    'i',
+    'if',
+    'into',
+    'it',
+    'its',
+    'just',
+    'least',
+    'like',
+    'likely',
+    'may',
+    'me',
+    'might',
+    'most',
+    'must',
+    'my',
+    'neither',
+    'no',
+    'nor',
+    'not',
+    'of',
+    'off',
+    'often',
+    'on',
+    'or',
+    'other',
+    'our',
+    'own',
+    'rather',
+    'said',
+    'say',
+    'says',
+    'she',
+    'should',
+    'since',
+    'so',
+    'some',
+    'than',
+    'that',
+    'the',
+    'their',
+    'them',
+    'then',
+    'there',
+    'these',
+    'they',
+    'this',
+    'tis',
+    'to',
+    'too',
+    'twas',
+    'us',
+    'wants',
+    'was',
+    'we',
+    'were',
+    'what',
+    'when',
+    'who',
+    'whom',
+    'why',
+    'will',
+    'would',
+    'yet',
+    'you',
+    'your'
+  ])
+
+  // add . as a separator, because otherwise "title": "Documenter.Anchors.add!"
+  // would not find anything if searching for "add!", only for the entire qualification
+  lunr.tokenizer.separator = /[\s\-\.]+/
+
+  // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names
+  lunr.trimmer = function (token) {
+    return token.update(function (s) {
+      return s.replace(/^[^a-zA-Z0-9@!]+/, '').replace(/[^a-zA-Z0-9@!]+$/, '')
+    })
+  }
+
+  lunr.Pipeline.registerFunction(lunr.stopWordFilter, 'juliaStopWordFilter')
+  lunr.Pipeline.registerFunction(lunr.trimmer, 'juliaTrimmer')
+
+  var index = lunr(function () {
+    this.ref('location')
+    this.field('title',{boost: 100})
+    this.field('text')
+    documenterSearchIndex['docs'].forEach(function(e) {
+        this.add(e)
+    }, this)
+  })
+  var store = {}
+
+  documenterSearchIndex['docs'].forEach(function(e) {
+      store[e.location] = {title: e.title, category: e.category, page: e.page}
+  })
+
+  $(function(){
+    searchresults = $('#documenter-search-results');
+    searchinfo = $('#documenter-search-info');
+    searchbox = $('#documenter-search-query');
+    function update_search(querystring) {
+      tokens = lunr.tokenizer(querystring)
+      results = index.query(function (q) {
+        tokens.forEach(function (t) {
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 100,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 10,
+            usePipeline: true,
+            editDistance: 2,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["text"],
+            boost: 1,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+        })
+      })
+      searchinfo.text("Number of results: " + results.length)
+      searchresults.empty()
+      results.forEach(function(result) {
+        data = store[result.ref]
+        link = $('<a class="docs-label">'+data.title+'</a>')
+        link.attr('href', documenterBaseURL+'/'+result.ref)
+        if (data.category != "page"){
+          cat = $('<span class="docs-category">('+data.category+', '+data.page+')</span>')
+        } else {
+          cat = $('<span class="docs-category">('+data.category+')</span>')
+        }
+        li = $('<li>').append(link).append(" ").append(cat)
+        searchresults.append(li)
+      })
+    }
+
+    function update_search_box() {
+      querystring = searchbox.val()
+      update_search(querystring)
+    }
+
+    searchbox.keyup(_.debounce(update_search_box, 250))
+    searchbox.change(update_search_box)
+
+    search_query_uri = parseUri(window.location).queryKey["q"]
+    if(search_query_uri !== undefined) {
+      search_query = decodeURIComponent(search_query_uri.replace(/\+/g, '%20'))
+      searchbox.val(search_query)
+    }
+    update_search_box();
+  })
+})
+
+})
diff --git a/v0.2.1/assets/themes/documenter-dark.css b/v0.2.1/assets/themes/documenter-dark.css
new file mode 100644
index 000000000..f866234ff
--- /dev/null
+++ b/v0.2.1/assets/themes/documenter-dark.css
@@ -0,0 +1,7642 @@
+@charset "UTF-8";
+/* Font Awesome 5 mixin. Can be included in any rule that should render Font Awesome icons. */
+@keyframes spinAround {
+  from {
+    transform: rotate(0deg); }
+  to {
+    transform: rotate(359deg); } }
+
+html.theme--documenter-dark .delete, html.theme--documenter-dark .modal-close, .is-unselectable, html.theme--documenter-dark .button, html.theme--documenter-dark .file, html.theme--documenter-dark .breadcrumb, html.theme--documenter-dark .pagination-previous,
+html.theme--documenter-dark .pagination-next,
+html.theme--documenter-dark .pagination-link,
+html.theme--documenter-dark .pagination-ellipsis, html.theme--documenter-dark .tabs {
+  -webkit-touch-callout: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  user-select: none; }
+
+html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after, html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after {
+  border: 3px solid transparent;
+  border-radius: 2px;
+  border-right: 0;
+  border-top: 0;
+  content: " ";
+  display: block;
+  height: 0.625em;
+  margin-top: -0.4375em;
+  pointer-events: none;
+  position: absolute;
+  top: 50%;
+  transform: rotate(-45deg);
+  transform-origin: center;
+  width: 0.625em; }
+
+html.theme--documenter-dark .box:not(:last-child), html.theme--documenter-dark .content:not(:last-child), html.theme--documenter-dark .notification:not(:last-child), html.theme--documenter-dark .progress:not(:last-child), html.theme--documenter-dark .table:not(:last-child), html.theme--documenter-dark .table-container:not(:last-child), html.theme--documenter-dark .title:not(:last-child),
+html.theme--documenter-dark .subtitle:not(:last-child), html.theme--documenter-dark .block:not(:last-child), html.theme--documenter-dark .highlight:not(:last-child), html.theme--documenter-dark .breadcrumb:not(:last-child), html.theme--documenter-dark .level:not(:last-child), html.theme--documenter-dark .list:not(:last-child), html.theme--documenter-dark .message:not(:last-child), html.theme--documenter-dark .tabs:not(:last-child), html.theme--documenter-dark .admonition:not(:last-child) {
+  margin-bottom: 1.5rem; }
+
+html.theme--documenter-dark .delete, html.theme--documenter-dark .modal-close {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  background-color: rgba(10, 10, 10, 0.2);
+  border: none;
+  border-radius: 290486px;
+  cursor: pointer;
+  pointer-events: auto;
+  display: inline-block;
+  flex-grow: 0;
+  flex-shrink: 0;
+  font-size: 0;
+  height: 20px;
+  max-height: 20px;
+  max-width: 20px;
+  min-height: 20px;
+  min-width: 20px;
+  outline: none;
+  position: relative;
+  vertical-align: top;
+  width: 20px; }
+  html.theme--documenter-dark .delete::before, html.theme--documenter-dark .modal-close::before, html.theme--documenter-dark .delete::after, html.theme--documenter-dark .modal-close::after {
+    background-color: white;
+    content: "";
+    display: block;
+    left: 50%;
+    position: absolute;
+    top: 50%;
+    transform: translateX(-50%) translateY(-50%) rotate(45deg);
+    transform-origin: center center; }
+  html.theme--documenter-dark .delete::before, html.theme--documenter-dark .modal-close::before {
+    height: 2px;
+    width: 50%; }
+  html.theme--documenter-dark .delete::after, html.theme--documenter-dark .modal-close::after {
+    height: 50%;
+    width: 2px; }
+  html.theme--documenter-dark .delete:hover, html.theme--documenter-dark .modal-close:hover, html.theme--documenter-dark .delete:focus, html.theme--documenter-dark .modal-close:focus {
+    background-color: rgba(10, 10, 10, 0.3); }
+  html.theme--documenter-dark .delete:active, html.theme--documenter-dark .modal-close:active {
+    background-color: rgba(10, 10, 10, 0.4); }
+  html.theme--documenter-dark .is-small.delete, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.delete, html.theme--documenter-dark .is-small.modal-close, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.modal-close {
+    height: 16px;
+    max-height: 16px;
+    max-width: 16px;
+    min-height: 16px;
+    min-width: 16px;
+    width: 16px; }
+  html.theme--documenter-dark .is-medium.delete, html.theme--documenter-dark .is-medium.modal-close {
+    height: 24px;
+    max-height: 24px;
+    max-width: 24px;
+    min-height: 24px;
+    min-width: 24px;
+    width: 24px; }
+  html.theme--documenter-dark .is-large.delete, html.theme--documenter-dark .is-large.modal-close {
+    height: 32px;
+    max-height: 32px;
+    max-width: 32px;
+    min-height: 32px;
+    min-width: 32px;
+    width: 32px; }
+
+html.theme--documenter-dark .button.is-loading::after, html.theme--documenter-dark .loader, html.theme--documenter-dark .select.is-loading::after, html.theme--documenter-dark .control.is-loading::after {
+  animation: spinAround 500ms infinite linear;
+  border: 2px solid #dbdee0;
+  border-radius: 290486px;
+  border-right-color: transparent;
+  border-top-color: transparent;
+  content: "";
+  display: block;
+  height: 1em;
+  position: relative;
+  width: 1em; }
+
+.is-overlay, html.theme--documenter-dark .image.is-square img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square img,
+html.theme--documenter-dark .image.is-square .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, html.theme--documenter-dark .image.is-1by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+html.theme--documenter-dark .image.is-1by1 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, html.theme--documenter-dark .image.is-5by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+html.theme--documenter-dark .image.is-5by4 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, html.theme--documenter-dark .image.is-4by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+html.theme--documenter-dark .image.is-4by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, html.theme--documenter-dark .image.is-3by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+html.theme--documenter-dark .image.is-3by2 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, html.theme--documenter-dark .image.is-5by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+html.theme--documenter-dark .image.is-5by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, html.theme--documenter-dark .image.is-16by9 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+html.theme--documenter-dark .image.is-16by9 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, html.theme--documenter-dark .image.is-2by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+html.theme--documenter-dark .image.is-2by1 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, html.theme--documenter-dark .image.is-3by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+html.theme--documenter-dark .image.is-3by1 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, html.theme--documenter-dark .image.is-4by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+html.theme--documenter-dark .image.is-4by5 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, html.theme--documenter-dark .image.is-3by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+html.theme--documenter-dark .image.is-3by4 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, html.theme--documenter-dark .image.is-2by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+html.theme--documenter-dark .image.is-2by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, html.theme--documenter-dark .image.is-3by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+html.theme--documenter-dark .image.is-3by5 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, html.theme--documenter-dark .image.is-9by16 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+html.theme--documenter-dark .image.is-9by16 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, html.theme--documenter-dark .image.is-1by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+html.theme--documenter-dark .image.is-1by2 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, html.theme--documenter-dark .image.is-1by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+html.theme--documenter-dark .image.is-1by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio, html.theme--documenter-dark .modal, html.theme--documenter-dark .modal-background, html.theme--documenter-dark .hero-video {
+  bottom: 0;
+  left: 0;
+  position: absolute;
+  right: 0;
+  top: 0; }
+
+html.theme--documenter-dark .button, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark .textarea, html.theme--documenter-dark .select select, html.theme--documenter-dark .file-cta,
+html.theme--documenter-dark .file-name, html.theme--documenter-dark .pagination-previous,
+html.theme--documenter-dark .pagination-next,
+html.theme--documenter-dark .pagination-link,
+html.theme--documenter-dark .pagination-ellipsis {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  align-items: center;
+  border: 1px solid transparent;
+  border-radius: 0.4em;
+  box-shadow: none;
+  display: inline-flex;
+  font-size: 15px;
+  height: 2.25em;
+  justify-content: flex-start;
+  line-height: 1.5;
+  padding-bottom: calc(0.375em - 1px);
+  padding-left: calc(0.625em - 1px);
+  padding-right: calc(0.625em - 1px);
+  padding-top: calc(0.375em - 1px);
+  position: relative;
+  vertical-align: top; }
+  html.theme--documenter-dark .button:focus, html.theme--documenter-dark .input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:focus, html.theme--documenter-dark .textarea:focus, html.theme--documenter-dark .select select:focus, html.theme--documenter-dark .file-cta:focus,
+  html.theme--documenter-dark .file-name:focus, html.theme--documenter-dark .pagination-previous:focus,
+  html.theme--documenter-dark .pagination-next:focus,
+  html.theme--documenter-dark .pagination-link:focus,
+  html.theme--documenter-dark .pagination-ellipsis:focus, html.theme--documenter-dark .is-focused.button, html.theme--documenter-dark .is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-focused.textarea, html.theme--documenter-dark .select select.is-focused, html.theme--documenter-dark .is-focused.file-cta,
+  html.theme--documenter-dark .is-focused.file-name, html.theme--documenter-dark .is-focused.pagination-previous,
+  html.theme--documenter-dark .is-focused.pagination-next,
+  html.theme--documenter-dark .is-focused.pagination-link,
+  html.theme--documenter-dark .is-focused.pagination-ellipsis, html.theme--documenter-dark .button:active, html.theme--documenter-dark .input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:active, html.theme--documenter-dark .textarea:active, html.theme--documenter-dark .select select:active, html.theme--documenter-dark .file-cta:active,
+  html.theme--documenter-dark .file-name:active, html.theme--documenter-dark .pagination-previous:active,
+  html.theme--documenter-dark .pagination-next:active,
+  html.theme--documenter-dark .pagination-link:active,
+  html.theme--documenter-dark .pagination-ellipsis:active, html.theme--documenter-dark .is-active.button, html.theme--documenter-dark .is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .is-active.textarea, html.theme--documenter-dark .select select.is-active, html.theme--documenter-dark .is-active.file-cta,
+  html.theme--documenter-dark .is-active.file-name, html.theme--documenter-dark .is-active.pagination-previous,
+  html.theme--documenter-dark .is-active.pagination-next,
+  html.theme--documenter-dark .is-active.pagination-link,
+  html.theme--documenter-dark .is-active.pagination-ellipsis {
+    outline: none; }
+  html.theme--documenter-dark .button[disabled], html.theme--documenter-dark .input[disabled], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled], html.theme--documenter-dark .textarea[disabled], html.theme--documenter-dark .select select[disabled], html.theme--documenter-dark .file-cta[disabled],
+  html.theme--documenter-dark .file-name[disabled], html.theme--documenter-dark .pagination-previous[disabled],
+  html.theme--documenter-dark .pagination-next[disabled],
+  html.theme--documenter-dark .pagination-link[disabled],
+  html.theme--documenter-dark .pagination-ellipsis[disabled],
+  fieldset[disabled] html.theme--documenter-dark .button,
+  html.theme--documenter-dark fieldset[disabled] .button,
+  fieldset[disabled] html.theme--documenter-dark .input,
+  html.theme--documenter-dark fieldset[disabled] .input,
+  fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input,
+  html.theme--documenter-dark #documenter .docs-sidebar fieldset[disabled] form.docs-search > input,
+  fieldset[disabled] html.theme--documenter-dark .textarea,
+  html.theme--documenter-dark fieldset[disabled] .textarea,
+  fieldset[disabled] html.theme--documenter-dark .select select,
+  html.theme--documenter-dark .select fieldset[disabled] select,
+  fieldset[disabled] html.theme--documenter-dark .file-cta,
+  html.theme--documenter-dark fieldset[disabled] .file-cta,
+  fieldset[disabled] html.theme--documenter-dark .file-name,
+  html.theme--documenter-dark fieldset[disabled] .file-name,
+  fieldset[disabled] html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark fieldset[disabled] .pagination-previous,
+  fieldset[disabled] html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark fieldset[disabled] .pagination-next,
+  fieldset[disabled] html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark fieldset[disabled] .pagination-link,
+  fieldset[disabled] html.theme--documenter-dark .pagination-ellipsis,
+  html.theme--documenter-dark fieldset[disabled] .pagination-ellipsis {
+    cursor: not-allowed; }
+
+/*! minireset.css v0.0.4 | MIT License | github.com/jgthms/minireset.css */
+html,
+body,
+p,
+ol,
+ul,
+li,
+dl,
+dt,
+dd,
+blockquote,
+figure,
+fieldset,
+legend,
+textarea,
+pre,
+iframe,
+hr,
+h1,
+h2,
+h3,
+h4,
+h5,
+h6 {
+  margin: 0;
+  padding: 0; }
+
+h1,
+h2,
+h3,
+h4,
+h5,
+h6 {
+  font-size: 100%;
+  font-weight: normal; }
+
+ul {
+  list-style: none; }
+
+button,
+input,
+select,
+textarea {
+  margin: 0; }
+
+html {
+  box-sizing: border-box; }
+
+*, *::before, *::after {
+  box-sizing: inherit; }
+
+img,
+embed,
+iframe,
+object,
+video {
+  height: auto;
+  max-width: 100%; }
+
+audio {
+  max-width: 100%; }
+
+iframe {
+  border: 0; }
+
+table {
+  border-collapse: collapse;
+  border-spacing: 0; }
+
+td,
+th {
+  padding: 0; }
+  td:not([align]),
+  th:not([align]) {
+    text-align: left; }
+
+.is-clearfix::after {
+  clear: both;
+  content: " ";
+  display: table; }
+
+.is-pulled-left {
+  float: left !important; }
+
+.is-pulled-right {
+  float: right !important; }
+
+.is-clipped {
+  overflow: hidden !important; }
+
+.is-size-1 {
+  font-size: 3rem !important; }
+
+.is-size-2 {
+  font-size: 2.5rem !important; }
+
+.is-size-3 {
+  font-size: 2rem !important; }
+
+.is-size-4 {
+  font-size: 1.5rem !important; }
+
+.is-size-5 {
+  font-size: 1.25rem !important; }
+
+.is-size-6 {
+  font-size: 15px !important; }
+
+.is-size-7, html.theme--documenter-dark .docstring > section > a.docs-sourcelink {
+  font-size: 0.85em !important; }
+
+@media screen and (max-width: 768px) {
+  .is-size-1-mobile {
+    font-size: 3rem !important; }
+  .is-size-2-mobile {
+    font-size: 2.5rem !important; }
+  .is-size-3-mobile {
+    font-size: 2rem !important; }
+  .is-size-4-mobile {
+    font-size: 1.5rem !important; }
+  .is-size-5-mobile {
+    font-size: 1.25rem !important; }
+  .is-size-6-mobile {
+    font-size: 15px !important; }
+  .is-size-7-mobile {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-size-1-tablet {
+    font-size: 3rem !important; }
+  .is-size-2-tablet {
+    font-size: 2.5rem !important; }
+  .is-size-3-tablet {
+    font-size: 2rem !important; }
+  .is-size-4-tablet {
+    font-size: 1.5rem !important; }
+  .is-size-5-tablet {
+    font-size: 1.25rem !important; }
+  .is-size-6-tablet {
+    font-size: 15px !important; }
+  .is-size-7-tablet {
+    font-size: 0.85em !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-size-1-touch {
+    font-size: 3rem !important; }
+  .is-size-2-touch {
+    font-size: 2.5rem !important; }
+  .is-size-3-touch {
+    font-size: 2rem !important; }
+  .is-size-4-touch {
+    font-size: 1.5rem !important; }
+  .is-size-5-touch {
+    font-size: 1.25rem !important; }
+  .is-size-6-touch {
+    font-size: 15px !important; }
+  .is-size-7-touch {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-size-1-desktop {
+    font-size: 3rem !important; }
+  .is-size-2-desktop {
+    font-size: 2.5rem !important; }
+  .is-size-3-desktop {
+    font-size: 2rem !important; }
+  .is-size-4-desktop {
+    font-size: 1.5rem !important; }
+  .is-size-5-desktop {
+    font-size: 1.25rem !important; }
+  .is-size-6-desktop {
+    font-size: 15px !important; }
+  .is-size-7-desktop {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-size-1-widescreen {
+    font-size: 3rem !important; }
+  .is-size-2-widescreen {
+    font-size: 2.5rem !important; }
+  .is-size-3-widescreen {
+    font-size: 2rem !important; }
+  .is-size-4-widescreen {
+    font-size: 1.5rem !important; }
+  .is-size-5-widescreen {
+    font-size: 1.25rem !important; }
+  .is-size-6-widescreen {
+    font-size: 15px !important; }
+  .is-size-7-widescreen {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-size-1-fullhd {
+    font-size: 3rem !important; }
+  .is-size-2-fullhd {
+    font-size: 2.5rem !important; }
+  .is-size-3-fullhd {
+    font-size: 2rem !important; }
+  .is-size-4-fullhd {
+    font-size: 1.5rem !important; }
+  .is-size-5-fullhd {
+    font-size: 1.25rem !important; }
+  .is-size-6-fullhd {
+    font-size: 15px !important; }
+  .is-size-7-fullhd {
+    font-size: 0.85em !important; } }
+
+.has-text-centered {
+  text-align: center !important; }
+
+.has-text-justified {
+  text-align: justify !important; }
+
+.has-text-left {
+  text-align: left !important; }
+
+.has-text-right {
+  text-align: right !important; }
+
+@media screen and (max-width: 768px) {
+  .has-text-centered-mobile {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-centered-tablet {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-centered-tablet-only {
+    text-align: center !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-centered-touch {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-centered-desktop {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-centered-desktop-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-centered-widescreen {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-centered-widescreen-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-centered-fullhd {
+    text-align: center !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-justified-mobile {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-justified-tablet {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-justified-tablet-only {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-justified-touch {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-justified-desktop {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-justified-desktop-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-justified-widescreen {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-justified-widescreen-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-justified-fullhd {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-left-mobile {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-left-tablet {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-left-tablet-only {
+    text-align: left !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-left-touch {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-left-desktop {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-left-desktop-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-left-widescreen {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-left-widescreen-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-left-fullhd {
+    text-align: left !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-right-mobile {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-right-tablet {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-right-tablet-only {
+    text-align: right !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-right-touch {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-right-desktop {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-right-desktop-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-right-widescreen {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-right-widescreen-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-right-fullhd {
+    text-align: right !important; } }
+
+.is-capitalized {
+  text-transform: capitalize !important; }
+
+.is-lowercase {
+  text-transform: lowercase !important; }
+
+.is-uppercase {
+  text-transform: uppercase !important; }
+
+.is-italic {
+  font-style: italic !important; }
+
+.has-text-white {
+  color: white !important; }
+
+a.has-text-white:hover, a.has-text-white:focus {
+  color: #e6e6e6 !important; }
+
+.has-background-white {
+  background-color: white !important; }
+
+.has-text-black {
+  color: #0a0a0a !important; }
+
+a.has-text-black:hover, a.has-text-black:focus {
+  color: black !important; }
+
+.has-background-black {
+  background-color: #0a0a0a !important; }
+
+.has-text-light {
+  color: #ecf0f1 !important; }
+
+a.has-text-light:hover, a.has-text-light:focus {
+  color: #cfd9db !important; }
+
+.has-background-light {
+  background-color: #ecf0f1 !important; }
+
+.has-text-dark {
+  color: #282f2f !important; }
+
+a.has-text-dark:hover, a.has-text-dark:focus {
+  color: #111414 !important; }
+
+.has-background-dark {
+  background-color: #282f2f !important; }
+
+.has-text-primary {
+  color: #375a7f !important; }
+
+a.has-text-primary:hover, a.has-text-primary:focus {
+  color: #28415b !important; }
+
+.has-background-primary {
+  background-color: #375a7f !important; }
+
+.has-text-link {
+  color: #1abc9c !important; }
+
+a.has-text-link:hover, a.has-text-link:focus {
+  color: #148f77 !important; }
+
+.has-background-link {
+  background-color: #1abc9c !important; }
+
+.has-text-info {
+  color: #024c7d !important; }
+
+a.has-text-info:hover, a.has-text-info:focus {
+  color: #012d4b !important; }
+
+.has-background-info {
+  background-color: #024c7d !important; }
+
+.has-text-success {
+  color: #008438 !important; }
+
+a.has-text-success:hover, a.has-text-success:focus {
+  color: #005122 !important; }
+
+.has-background-success {
+  background-color: #008438 !important; }
+
+.has-text-warning {
+  color: #ad8100 !important; }
+
+a.has-text-warning:hover, a.has-text-warning:focus {
+  color: #7a5b00 !important; }
+
+.has-background-warning {
+  background-color: #ad8100 !important; }
+
+.has-text-danger {
+  color: #9e1b0d !important; }
+
+a.has-text-danger:hover, a.has-text-danger:focus {
+  color: #6f1309 !important; }
+
+.has-background-danger {
+  background-color: #9e1b0d !important; }
+
+.has-text-black-bis {
+  color: #121212 !important; }
+
+.has-background-black-bis {
+  background-color: #121212 !important; }
+
+.has-text-black-ter {
+  color: #242424 !important; }
+
+.has-background-black-ter {
+  background-color: #242424 !important; }
+
+.has-text-grey-darker {
+  color: #282f2f !important; }
+
+.has-background-grey-darker {
+  background-color: #282f2f !important; }
+
+.has-text-grey-dark {
+  color: #343c3d !important; }
+
+.has-background-grey-dark {
+  background-color: #343c3d !important; }
+
+.has-text-grey {
+  color: #5e6d6f !important; }
+
+.has-background-grey {
+  background-color: #5e6d6f !important; }
+
+.has-text-grey-light {
+  color: #8c9b9d !important; }
+
+.has-background-grey-light {
+  background-color: #8c9b9d !important; }
+
+.has-text-grey-lighter {
+  color: #dbdee0 !important; }
+
+.has-background-grey-lighter {
+  background-color: #dbdee0 !important; }
+
+.has-text-white-ter {
+  color: #ecf0f1 !important; }
+
+.has-background-white-ter {
+  background-color: #ecf0f1 !important; }
+
+.has-text-white-bis {
+  color: #fafafa !important; }
+
+.has-background-white-bis {
+  background-color: #fafafa !important; }
+
+.has-text-weight-light {
+  font-weight: 300 !important; }
+
+.has-text-weight-normal {
+  font-weight: 400 !important; }
+
+.has-text-weight-medium {
+  font-weight: 500 !important; }
+
+.has-text-weight-semibold {
+  font-weight: 600 !important; }
+
+.has-text-weight-bold {
+  font-weight: 700 !important; }
+
+.is-family-primary {
+  font-family: "Lato", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-secondary {
+  font-family: "Lato", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-sans-serif {
+  font-family: "Lato", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-monospace {
+  font-family: "Roboto Mono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-family-code {
+  font-family: "Roboto Mono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-block {
+  display: block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-block-mobile {
+    display: block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-block-tablet {
+    display: block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-block-tablet-only {
+    display: block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-block-touch {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-block-desktop {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-block-desktop-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-block-widescreen {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-block-widescreen-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-block-fullhd {
+    display: block !important; } }
+
+.is-flex {
+  display: flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-flex-mobile {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-flex-tablet {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-flex-tablet-only {
+    display: flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-flex-touch {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-flex-desktop {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-flex-desktop-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-flex-widescreen {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-flex-widescreen-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-flex-fullhd {
+    display: flex !important; } }
+
+.is-inline {
+  display: inline !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-mobile {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-tablet {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-tablet-only {
+    display: inline !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-touch {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-desktop {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-desktop-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-widescreen {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-widescreen-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-fullhd {
+    display: inline !important; } }
+
+.is-inline-block {
+  display: inline-block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-block-mobile {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-block-tablet {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-block-tablet-only {
+    display: inline-block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-block-touch {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-block-desktop {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-block-desktop-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-block-widescreen {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-block-widescreen-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-block-fullhd {
+    display: inline-block !important; } }
+
+.is-inline-flex {
+  display: inline-flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-flex-mobile {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-flex-tablet {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-flex-tablet-only {
+    display: inline-flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-flex-touch {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-flex-desktop {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-flex-desktop-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-flex-widescreen {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-flex-widescreen-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-flex-fullhd {
+    display: inline-flex !important; } }
+
+.is-hidden {
+  display: none !important; }
+
+.is-sr-only {
+  border: none !important;
+  clip: rect(0, 0, 0, 0) !important;
+  height: 0.01em !important;
+  overflow: hidden !important;
+  padding: 0 !important;
+  position: absolute !important;
+  white-space: nowrap !important;
+  width: 0.01em !important; }
+
+@media screen and (max-width: 768px) {
+  .is-hidden-mobile {
+    display: none !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-hidden-tablet {
+    display: none !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-hidden-tablet-only {
+    display: none !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-hidden-touch {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-hidden-desktop {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-hidden-desktop-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-hidden-widescreen {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-hidden-widescreen-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-hidden-fullhd {
+    display: none !important; } }
+
+.is-invisible {
+  visibility: hidden !important; }
+
+@media screen and (max-width: 768px) {
+  .is-invisible-mobile {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-invisible-tablet {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-invisible-tablet-only {
+    visibility: hidden !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-invisible-touch {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-invisible-desktop {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-invisible-desktop-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-invisible-widescreen {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-invisible-widescreen-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-invisible-fullhd {
+    visibility: hidden !important; } }
+
+.is-marginless {
+  margin: 0 !important; }
+
+.is-paddingless {
+  padding: 0 !important; }
+
+.is-radiusless {
+  border-radius: 0 !important; }
+
+.is-shadowless {
+  box-shadow: none !important; }
+
+.is-relative {
+  position: relative !important; }
+
+html.theme--documenter-dark {
+  /* This file contain the overall layout.
+ *
+ * The main container is <div> that is identified by id #documenter.
+ */
+  /* a11y-dark theme */
+  /* Based on the Tomorrow Night Eighties theme: https://github.com/isagalaev/highlight.js/blob/master/src/styles/tomorrow-night-eighties.css */
+  /* @author: ericwbailey */
+  /* Comment */
+  /* Red */
+  /* Orange */
+  /* Yellow */
+  /* Green */
+  /* Blue */
+  /* Purple */ }
+  html.theme--documenter-dark html {
+    background-color: #1f2424;
+    font-size: 16px;
+    -moz-osx-font-smoothing: grayscale;
+    -webkit-font-smoothing: antialiased;
+    min-width: 300px;
+    overflow-x: auto;
+    overflow-y: scroll;
+    text-rendering: optimizeLegibility;
+    text-size-adjust: 100%; }
+  html.theme--documenter-dark article,
+  html.theme--documenter-dark aside,
+  html.theme--documenter-dark figure,
+  html.theme--documenter-dark footer,
+  html.theme--documenter-dark header,
+  html.theme--documenter-dark hgroup,
+  html.theme--documenter-dark section {
+    display: block; }
+  html.theme--documenter-dark body,
+  html.theme--documenter-dark button,
+  html.theme--documenter-dark input,
+  html.theme--documenter-dark select,
+  html.theme--documenter-dark textarea {
+    font-family: "Lato", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif; }
+  html.theme--documenter-dark code,
+  html.theme--documenter-dark pre {
+    -moz-osx-font-smoothing: auto;
+    -webkit-font-smoothing: auto;
+    font-family: "Roboto Mono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace; }
+  html.theme--documenter-dark body {
+    color: #fff;
+    font-size: 1em;
+    font-weight: 400;
+    line-height: 1.5; }
+  html.theme--documenter-dark a {
+    color: #1abc9c;
+    cursor: pointer;
+    text-decoration: none; }
+    html.theme--documenter-dark a strong {
+      color: currentColor; }
+    html.theme--documenter-dark a:hover {
+      color: #1dd2af; }
+  html.theme--documenter-dark code {
+    background-color: rgba(255, 255, 255, 0.05);
+    color: #e74c3c;
+    font-size: 0.875em;
+    font-weight: normal;
+    padding: 0.1em; }
+  html.theme--documenter-dark hr {
+    background-color: #282f2f;
+    border: none;
+    display: block;
+    height: 2px;
+    margin: 1.5rem 0; }
+  html.theme--documenter-dark img {
+    height: auto;
+    max-width: 100%; }
+  html.theme--documenter-dark input[type="checkbox"],
+  html.theme--documenter-dark input[type="radio"] {
+    vertical-align: baseline; }
+  html.theme--documenter-dark small {
+    font-size: 0.875em; }
+  html.theme--documenter-dark span {
+    font-style: inherit;
+    font-weight: inherit; }
+  html.theme--documenter-dark strong {
+    color: #f2f2f2;
+    font-weight: 700; }
+  html.theme--documenter-dark fieldset {
+    border: none; }
+  html.theme--documenter-dark pre {
+    -webkit-overflow-scrolling: touch;
+    background-color: #282f2f;
+    color: #fff;
+    font-size: 0.875em;
+    overflow-x: auto;
+    padding: 1.25rem 1.5rem;
+    white-space: pre;
+    word-wrap: normal; }
+    html.theme--documenter-dark pre code {
+      background-color: transparent;
+      color: currentColor;
+      font-size: 1em;
+      padding: 0; }
+  html.theme--documenter-dark table td,
+  html.theme--documenter-dark table th {
+    vertical-align: top; }
+    html.theme--documenter-dark table td:not([align]),
+    html.theme--documenter-dark table th:not([align]) {
+      text-align: left; }
+  html.theme--documenter-dark table th {
+    color: #f2f2f2; }
+  html.theme--documenter-dark .box {
+    background-color: #343c3d;
+    border-radius: 8px;
+    box-shadow: none;
+    color: #fff;
+    display: block;
+    padding: 1.25rem; }
+  html.theme--documenter-dark a.box:hover, html.theme--documenter-dark a.box:focus {
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px #1abc9c; }
+  html.theme--documenter-dark a.box:active {
+    box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2), 0 0 0 1px #1abc9c; }
+  html.theme--documenter-dark .button {
+    background-color: #282f2f;
+    border-color: #4c5759;
+    border-width: 1px;
+    color: #375a7f;
+    cursor: pointer;
+    justify-content: center;
+    padding-bottom: calc(0.375em - 1px);
+    padding-left: 0.75em;
+    padding-right: 0.75em;
+    padding-top: calc(0.375em - 1px);
+    text-align: center;
+    white-space: nowrap; }
+    html.theme--documenter-dark .button strong {
+      color: inherit; }
+    html.theme--documenter-dark .button .icon, html.theme--documenter-dark .button .icon.is-small, html.theme--documenter-dark .button #documenter .docs-sidebar form.docs-search > input.icon, html.theme--documenter-dark #documenter .docs-sidebar .button form.docs-search > input.icon, html.theme--documenter-dark .button .icon.is-medium, html.theme--documenter-dark .button .icon.is-large {
+      height: 1.5em;
+      width: 1.5em; }
+    html.theme--documenter-dark .button .icon:first-child:not(:last-child) {
+      margin-left: calc(-0.375em - 1px);
+      margin-right: 0.1875em; }
+    html.theme--documenter-dark .button .icon:last-child:not(:first-child) {
+      margin-left: 0.1875em;
+      margin-right: calc(-0.375em - 1px); }
+    html.theme--documenter-dark .button .icon:first-child:last-child {
+      margin-left: calc(-0.375em - 1px);
+      margin-right: calc(-0.375em - 1px); }
+    html.theme--documenter-dark .button:hover, html.theme--documenter-dark .button.is-hovered {
+      border-color: #8c9b9d;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .button:focus, html.theme--documenter-dark .button.is-focused {
+      border-color: #8c9b9d;
+      color: #17a689; }
+      html.theme--documenter-dark .button:focus:not(:active), html.theme--documenter-dark .button.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .button:active, html.theme--documenter-dark .button.is-active {
+      border-color: #343c3d;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .button.is-text {
+      background-color: transparent;
+      border-color: transparent;
+      color: #fff;
+      text-decoration: underline; }
+      html.theme--documenter-dark .button.is-text:hover, html.theme--documenter-dark .button.is-text.is-hovered, html.theme--documenter-dark .button.is-text:focus, html.theme--documenter-dark .button.is-text.is-focused {
+        background-color: #282f2f;
+        color: #f2f2f2; }
+      html.theme--documenter-dark .button.is-text:active, html.theme--documenter-dark .button.is-text.is-active {
+        background-color: #1d2122;
+        color: #f2f2f2; }
+      html.theme--documenter-dark .button.is-text[disabled],
+      fieldset[disabled] html.theme--documenter-dark .button.is-text {
+        background-color: transparent;
+        border-color: transparent;
+        box-shadow: none; }
+    html.theme--documenter-dark .button.is-white {
+      background-color: white;
+      border-color: transparent;
+      color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-white:hover, html.theme--documenter-dark .button.is-white.is-hovered {
+        background-color: #f9f9f9;
+        border-color: transparent;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-white:focus, html.theme--documenter-dark .button.is-white.is-focused {
+        border-color: transparent;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-white:focus:not(:active), html.theme--documenter-dark .button.is-white.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+      html.theme--documenter-dark .button.is-white:active, html.theme--documenter-dark .button.is-white.is-active {
+        background-color: #f2f2f2;
+        border-color: transparent;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-white[disabled],
+      fieldset[disabled] html.theme--documenter-dark .button.is-white {
+        background-color: white;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-white.is-inverted {
+        background-color: #0a0a0a;
+        color: white; }
+        html.theme--documenter-dark .button.is-white.is-inverted:hover, html.theme--documenter-dark .button.is-white.is-inverted.is-hovered {
+          background-color: black; }
+        html.theme--documenter-dark .button.is-white.is-inverted[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted {
+          background-color: #0a0a0a;
+          border-color: transparent;
+          box-shadow: none;
+          color: white; }
+      html.theme--documenter-dark .button.is-white.is-loading::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      html.theme--documenter-dark .button.is-white.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        color: white; }
+        html.theme--documenter-dark .button.is-white.is-outlined:hover, html.theme--documenter-dark .button.is-white.is-outlined.is-hovered, html.theme--documenter-dark .button.is-white.is-outlined:focus, html.theme--documenter-dark .button.is-white.is-outlined.is-focused {
+          background-color: white;
+          border-color: white;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-white.is-outlined.is-loading::after {
+          border-color: transparent transparent white white !important; }
+        html.theme--documenter-dark .button.is-white.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+        html.theme--documenter-dark .button.is-white.is-outlined[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-white.is-outlined {
+          background-color: transparent;
+          border-color: white;
+          box-shadow: none;
+          color: white; }
+      html.theme--documenter-dark .button.is-white.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-focused {
+          background-color: #0a0a0a;
+          color: white; }
+        html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent white white !important; }
+        html.theme--documenter-dark .button.is-white.is-inverted.is-outlined[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #0a0a0a;
+          box-shadow: none;
+          color: #0a0a0a; }
+    html.theme--documenter-dark .button.is-black {
+      background-color: #0a0a0a;
+      border-color: transparent;
+      color: white; }
+      html.theme--documenter-dark .button.is-black:hover, html.theme--documenter-dark .button.is-black.is-hovered {
+        background-color: #040404;
+        border-color: transparent;
+        color: white; }
+      html.theme--documenter-dark .button.is-black:focus, html.theme--documenter-dark .button.is-black.is-focused {
+        border-color: transparent;
+        color: white; }
+        html.theme--documenter-dark .button.is-black:focus:not(:active), html.theme--documenter-dark .button.is-black.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+      html.theme--documenter-dark .button.is-black:active, html.theme--documenter-dark .button.is-black.is-active {
+        background-color: black;
+        border-color: transparent;
+        color: white; }
+      html.theme--documenter-dark .button.is-black[disabled],
+      fieldset[disabled] html.theme--documenter-dark .button.is-black {
+        background-color: #0a0a0a;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-black.is-inverted {
+        background-color: white;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-black.is-inverted:hover, html.theme--documenter-dark .button.is-black.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-black.is-inverted[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted {
+          background-color: white;
+          border-color: transparent;
+          box-shadow: none;
+          color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-black.is-loading::after {
+        border-color: transparent transparent white white !important; }
+      html.theme--documenter-dark .button.is-black.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-black.is-outlined:hover, html.theme--documenter-dark .button.is-black.is-outlined.is-hovered, html.theme--documenter-dark .button.is-black.is-outlined:focus, html.theme--documenter-dark .button.is-black.is-outlined.is-focused {
+          background-color: #0a0a0a;
+          border-color: #0a0a0a;
+          color: white; }
+        html.theme--documenter-dark .button.is-black.is-outlined.is-loading::after {
+          border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+        html.theme--documenter-dark .button.is-black.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent white white !important; }
+        html.theme--documenter-dark .button.is-black.is-outlined[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-black.is-outlined {
+          background-color: transparent;
+          border-color: #0a0a0a;
+          box-shadow: none;
+          color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-black.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        color: white; }
+        html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-focused {
+          background-color: white;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+        html.theme--documenter-dark .button.is-black.is-inverted.is-outlined[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: white;
+          box-shadow: none;
+          color: white; }
+    html.theme--documenter-dark .button.is-light {
+      background-color: #ecf0f1;
+      border-color: transparent;
+      color: #282f2f; }
+      html.theme--documenter-dark .button.is-light:hover, html.theme--documenter-dark .button.is-light.is-hovered {
+        background-color: #e5eaec;
+        border-color: transparent;
+        color: #282f2f; }
+      html.theme--documenter-dark .button.is-light:focus, html.theme--documenter-dark .button.is-light.is-focused {
+        border-color: transparent;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-light:focus:not(:active), html.theme--documenter-dark .button.is-light.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); }
+      html.theme--documenter-dark .button.is-light:active, html.theme--documenter-dark .button.is-light.is-active {
+        background-color: #dde4e6;
+        border-color: transparent;
+        color: #282f2f; }
+      html.theme--documenter-dark .button.is-light[disabled],
+      fieldset[disabled] html.theme--documenter-dark .button.is-light {
+        background-color: #ecf0f1;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-light.is-inverted {
+        background-color: #282f2f;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-light.is-inverted:hover, html.theme--documenter-dark .button.is-light.is-inverted.is-hovered {
+          background-color: #1d2122; }
+        html.theme--documenter-dark .button.is-light.is-inverted[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted {
+          background-color: #282f2f;
+          border-color: transparent;
+          box-shadow: none;
+          color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-light.is-loading::after {
+        border-color: transparent transparent #282f2f #282f2f !important; }
+      html.theme--documenter-dark .button.is-light.is-outlined {
+        background-color: transparent;
+        border-color: #ecf0f1;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-light.is-outlined:hover, html.theme--documenter-dark .button.is-light.is-outlined.is-hovered, html.theme--documenter-dark .button.is-light.is-outlined:focus, html.theme--documenter-dark .button.is-light.is-outlined.is-focused {
+          background-color: #ecf0f1;
+          border-color: #ecf0f1;
+          color: #282f2f; }
+        html.theme--documenter-dark .button.is-light.is-outlined.is-loading::after {
+          border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+        html.theme--documenter-dark .button.is-light.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #282f2f #282f2f !important; }
+        html.theme--documenter-dark .button.is-light.is-outlined[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-light.is-outlined {
+          background-color: transparent;
+          border-color: #ecf0f1;
+          box-shadow: none;
+          color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-light.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #282f2f;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused {
+          background-color: #282f2f;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+        html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #282f2f;
+          box-shadow: none;
+          color: #282f2f; }
+    html.theme--documenter-dark .button.is-dark, html.theme--documenter-dark .content kbd.button {
+      background-color: #282f2f;
+      border-color: transparent;
+      color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-dark:hover, html.theme--documenter-dark .content kbd.button:hover, html.theme--documenter-dark .button.is-dark.is-hovered, html.theme--documenter-dark .content kbd.button.is-hovered {
+        background-color: #232829;
+        border-color: transparent;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-dark:focus, html.theme--documenter-dark .content kbd.button:focus, html.theme--documenter-dark .button.is-dark.is-focused, html.theme--documenter-dark .content kbd.button.is-focused {
+        border-color: transparent;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-dark:focus:not(:active), html.theme--documenter-dark .content kbd.button:focus:not(:active), html.theme--documenter-dark .button.is-dark.is-focused:not(:active), html.theme--documenter-dark .content kbd.button.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); }
+      html.theme--documenter-dark .button.is-dark:active, html.theme--documenter-dark .content kbd.button:active, html.theme--documenter-dark .button.is-dark.is-active, html.theme--documenter-dark .content kbd.button.is-active {
+        background-color: #1d2122;
+        border-color: transparent;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-dark[disabled], html.theme--documenter-dark .content kbd.button[disabled],
+      fieldset[disabled] html.theme--documenter-dark .button.is-dark,
+      fieldset[disabled] html.theme--documenter-dark .content kbd.button {
+        background-color: #282f2f;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-dark.is-inverted, html.theme--documenter-dark .content kbd.button.is-inverted {
+        background-color: #ecf0f1;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-dark.is-inverted:hover, html.theme--documenter-dark .content kbd.button.is-inverted:hover, html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered, html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered {
+          background-color: #dde4e6; }
+        html.theme--documenter-dark .button.is-dark.is-inverted[disabled], html.theme--documenter-dark .content kbd.button.is-inverted[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted,
+        fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted {
+          background-color: #ecf0f1;
+          border-color: transparent;
+          box-shadow: none;
+          color: #282f2f; }
+      html.theme--documenter-dark .button.is-dark.is-loading::after, html.theme--documenter-dark .content kbd.button.is-loading::after {
+        border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+      html.theme--documenter-dark .button.is-dark.is-outlined, html.theme--documenter-dark .content kbd.button.is-outlined {
+        background-color: transparent;
+        border-color: #282f2f;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-dark.is-outlined:hover, html.theme--documenter-dark .content kbd.button.is-outlined:hover, html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered, html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered, html.theme--documenter-dark .button.is-dark.is-outlined:focus, html.theme--documenter-dark .content kbd.button.is-outlined:focus, html.theme--documenter-dark .button.is-dark.is-outlined.is-focused, html.theme--documenter-dark .content kbd.button.is-outlined.is-focused {
+          background-color: #282f2f;
+          border-color: #282f2f;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after {
+          border-color: transparent transparent #282f2f #282f2f !important; }
+        html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+        html.theme--documenter-dark .button.is-dark.is-outlined[disabled], html.theme--documenter-dark .content kbd.button.is-outlined[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined,
+        fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined {
+          background-color: transparent;
+          border-color: #282f2f;
+          box-shadow: none;
+          color: #282f2f; }
+      html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #ecf0f1;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused {
+          background-color: #ecf0f1;
+          color: #282f2f; }
+        html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #282f2f #282f2f !important; }
+        html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled], html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,
+        fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #ecf0f1;
+          box-shadow: none;
+          color: #ecf0f1; }
+    html.theme--documenter-dark .button.is-primary, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink {
+      background-color: #375a7f;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-primary:hover, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-hovered.docs-sourcelink {
+        background-color: #335476;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-primary:focus, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-primary:focus:not(:active), html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus:not(:active), html.theme--documenter-dark .button.is-primary.is-focused:not(:active), html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); }
+      html.theme--documenter-dark .button.is-primary:active, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:active, html.theme--documenter-dark .button.is-primary.is-active, html.theme--documenter-dark .docstring > section > a.button.is-active.docs-sourcelink {
+        background-color: #2f4d6d;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-primary[disabled], html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink[disabled],
+      fieldset[disabled] html.theme--documenter-dark .button.is-primary,
+      fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink {
+        background-color: #375a7f;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-primary.is-inverted, html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink {
+        background-color: #fff;
+        color: #375a7f; }
+        html.theme--documenter-dark .button.is-primary.is-inverted:hover, html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-inverted.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-hovered.docs-sourcelink {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-primary.is-inverted[disabled], html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted,
+        fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #375a7f; }
+      html.theme--documenter-dark .button.is-primary.is-loading::after, html.theme--documenter-dark .docstring > section > a.button.is-loading.docs-sourcelink::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-primary.is-outlined, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #375a7f;
+        color: #375a7f; }
+        html.theme--documenter-dark .button.is-primary.is-outlined:hover, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-outlined.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-outlined:focus, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-outlined.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-focused.docs-sourcelink {
+          background-color: #375a7f;
+          border-color: #375a7f;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-primary.is-outlined.is-loading::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink::after {
+          border-color: transparent transparent #375a7f #375a7f !important; }
+        html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:hover::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:hover::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:focus::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:focus::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-primary.is-outlined[disabled], html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-outlined,
+        fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink {
+          background-color: transparent;
+          border-color: #375a7f;
+          box-shadow: none;
+          color: #375a7f; }
+      html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined:hover, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined:focus, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-focused.docs-sourcelink {
+          background-color: #fff;
+          color: #375a7f; }
+        html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+          border-color: transparent transparent #375a7f #375a7f !important; }
+        html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined[disabled], html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined,
+        fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-link {
+      background-color: #1abc9c;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-link:hover, html.theme--documenter-dark .button.is-link.is-hovered {
+        background-color: #18b193;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-link:focus, html.theme--documenter-dark .button.is-link.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-link:focus:not(:active), html.theme--documenter-dark .button.is-link.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+      html.theme--documenter-dark .button.is-link:active, html.theme--documenter-dark .button.is-link.is-active {
+        background-color: #17a689;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-link[disabled],
+      fieldset[disabled] html.theme--documenter-dark .button.is-link {
+        background-color: #1abc9c;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-link.is-inverted {
+        background-color: #fff;
+        color: #1abc9c; }
+        html.theme--documenter-dark .button.is-link.is-inverted:hover, html.theme--documenter-dark .button.is-link.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-link.is-inverted[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #1abc9c; }
+      html.theme--documenter-dark .button.is-link.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-link.is-outlined {
+        background-color: transparent;
+        border-color: #1abc9c;
+        color: #1abc9c; }
+        html.theme--documenter-dark .button.is-link.is-outlined:hover, html.theme--documenter-dark .button.is-link.is-outlined.is-hovered, html.theme--documenter-dark .button.is-link.is-outlined:focus, html.theme--documenter-dark .button.is-link.is-outlined.is-focused {
+          background-color: #1abc9c;
+          border-color: #1abc9c;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-link.is-outlined.is-loading::after {
+          border-color: transparent transparent #1abc9c #1abc9c !important; }
+        html.theme--documenter-dark .button.is-link.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-link.is-outlined[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-link.is-outlined {
+          background-color: transparent;
+          border-color: #1abc9c;
+          box-shadow: none;
+          color: #1abc9c; }
+      html.theme--documenter-dark .button.is-link.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #1abc9c; }
+        html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #1abc9c #1abc9c !important; }
+        html.theme--documenter-dark .button.is-link.is-inverted.is-outlined[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-info {
+      background-color: #024c7d;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-info:hover, html.theme--documenter-dark .button.is-info.is-hovered {
+        background-color: #024470;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-info:focus, html.theme--documenter-dark .button.is-info.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-info:focus:not(:active), html.theme--documenter-dark .button.is-info.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); }
+      html.theme--documenter-dark .button.is-info:active, html.theme--documenter-dark .button.is-info.is-active {
+        background-color: #023d64;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-info[disabled],
+      fieldset[disabled] html.theme--documenter-dark .button.is-info {
+        background-color: #024c7d;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-info.is-inverted {
+        background-color: #fff;
+        color: #024c7d; }
+        html.theme--documenter-dark .button.is-info.is-inverted:hover, html.theme--documenter-dark .button.is-info.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-info.is-inverted[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-info.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #024c7d; }
+      html.theme--documenter-dark .button.is-info.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-info.is-outlined {
+        background-color: transparent;
+        border-color: #024c7d;
+        color: #024c7d; }
+        html.theme--documenter-dark .button.is-info.is-outlined:hover, html.theme--documenter-dark .button.is-info.is-outlined.is-hovered, html.theme--documenter-dark .button.is-info.is-outlined:focus, html.theme--documenter-dark .button.is-info.is-outlined.is-focused {
+          background-color: #024c7d;
+          border-color: #024c7d;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-info.is-outlined.is-loading::after {
+          border-color: transparent transparent #024c7d #024c7d !important; }
+        html.theme--documenter-dark .button.is-info.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-info.is-outlined[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-info.is-outlined {
+          background-color: transparent;
+          border-color: #024c7d;
+          box-shadow: none;
+          color: #024c7d; }
+      html.theme--documenter-dark .button.is-info.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #024c7d; }
+        html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #024c7d #024c7d !important; }
+        html.theme--documenter-dark .button.is-info.is-inverted.is-outlined[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-info.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-success {
+      background-color: #008438;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-success:hover, html.theme--documenter-dark .button.is-success.is-hovered {
+        background-color: #007733;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-success:focus, html.theme--documenter-dark .button.is-success.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-success:focus:not(:active), html.theme--documenter-dark .button.is-success.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); }
+      html.theme--documenter-dark .button.is-success:active, html.theme--documenter-dark .button.is-success.is-active {
+        background-color: #006b2d;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-success[disabled],
+      fieldset[disabled] html.theme--documenter-dark .button.is-success {
+        background-color: #008438;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-success.is-inverted {
+        background-color: #fff;
+        color: #008438; }
+        html.theme--documenter-dark .button.is-success.is-inverted:hover, html.theme--documenter-dark .button.is-success.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-success.is-inverted[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #008438; }
+      html.theme--documenter-dark .button.is-success.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-success.is-outlined {
+        background-color: transparent;
+        border-color: #008438;
+        color: #008438; }
+        html.theme--documenter-dark .button.is-success.is-outlined:hover, html.theme--documenter-dark .button.is-success.is-outlined.is-hovered, html.theme--documenter-dark .button.is-success.is-outlined:focus, html.theme--documenter-dark .button.is-success.is-outlined.is-focused {
+          background-color: #008438;
+          border-color: #008438;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-success.is-outlined.is-loading::after {
+          border-color: transparent transparent #008438 #008438 !important; }
+        html.theme--documenter-dark .button.is-success.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-success.is-outlined[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-success.is-outlined {
+          background-color: transparent;
+          border-color: #008438;
+          box-shadow: none;
+          color: #008438; }
+      html.theme--documenter-dark .button.is-success.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #008438; }
+        html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #008438 #008438 !important; }
+        html.theme--documenter-dark .button.is-success.is-inverted.is-outlined[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-warning {
+      background-color: #ad8100;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-warning:hover, html.theme--documenter-dark .button.is-warning.is-hovered {
+        background-color: #a07700;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-warning:focus, html.theme--documenter-dark .button.is-warning.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-warning:focus:not(:active), html.theme--documenter-dark .button.is-warning.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); }
+      html.theme--documenter-dark .button.is-warning:active, html.theme--documenter-dark .button.is-warning.is-active {
+        background-color: #946e00;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-warning[disabled],
+      fieldset[disabled] html.theme--documenter-dark .button.is-warning {
+        background-color: #ad8100;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-warning.is-inverted {
+        background-color: #fff;
+        color: #ad8100; }
+        html.theme--documenter-dark .button.is-warning.is-inverted:hover, html.theme--documenter-dark .button.is-warning.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-warning.is-inverted[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #ad8100; }
+      html.theme--documenter-dark .button.is-warning.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-warning.is-outlined {
+        background-color: transparent;
+        border-color: #ad8100;
+        color: #ad8100; }
+        html.theme--documenter-dark .button.is-warning.is-outlined:hover, html.theme--documenter-dark .button.is-warning.is-outlined.is-hovered, html.theme--documenter-dark .button.is-warning.is-outlined:focus, html.theme--documenter-dark .button.is-warning.is-outlined.is-focused {
+          background-color: #ad8100;
+          border-color: #ad8100;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-warning.is-outlined.is-loading::after {
+          border-color: transparent transparent #ad8100 #ad8100 !important; }
+        html.theme--documenter-dark .button.is-warning.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-warning.is-outlined[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-outlined {
+          background-color: transparent;
+          border-color: #ad8100;
+          box-shadow: none;
+          color: #ad8100; }
+      html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #ad8100; }
+        html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #ad8100 #ad8100 !important; }
+        html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-danger {
+      background-color: #9e1b0d;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-danger:hover, html.theme--documenter-dark .button.is-danger.is-hovered {
+        background-color: #92190c;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-danger:focus, html.theme--documenter-dark .button.is-danger.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-danger:focus:not(:active), html.theme--documenter-dark .button.is-danger.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); }
+      html.theme--documenter-dark .button.is-danger:active, html.theme--documenter-dark .button.is-danger.is-active {
+        background-color: #86170b;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-danger[disabled],
+      fieldset[disabled] html.theme--documenter-dark .button.is-danger {
+        background-color: #9e1b0d;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-danger.is-inverted {
+        background-color: #fff;
+        color: #9e1b0d; }
+        html.theme--documenter-dark .button.is-danger.is-inverted:hover, html.theme--documenter-dark .button.is-danger.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-danger.is-inverted[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #9e1b0d; }
+      html.theme--documenter-dark .button.is-danger.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-danger.is-outlined {
+        background-color: transparent;
+        border-color: #9e1b0d;
+        color: #9e1b0d; }
+        html.theme--documenter-dark .button.is-danger.is-outlined:hover, html.theme--documenter-dark .button.is-danger.is-outlined.is-hovered, html.theme--documenter-dark .button.is-danger.is-outlined:focus, html.theme--documenter-dark .button.is-danger.is-outlined.is-focused {
+          background-color: #9e1b0d;
+          border-color: #9e1b0d;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-danger.is-outlined.is-loading::after {
+          border-color: transparent transparent #9e1b0d #9e1b0d !important; }
+        html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-danger.is-outlined[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-outlined {
+          background-color: transparent;
+          border-color: #9e1b0d;
+          box-shadow: none;
+          color: #9e1b0d; }
+      html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #9e1b0d; }
+        html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #9e1b0d #9e1b0d !important; }
+        html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled],
+        fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.button {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .button.is-normal {
+      font-size: 15px; }
+    html.theme--documenter-dark .button.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .button.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .button[disabled],
+    fieldset[disabled] html.theme--documenter-dark .button {
+      background-color: #8c9b9d;
+      border-color: #dbdee0;
+      box-shadow: none;
+      opacity: 0.5; }
+    html.theme--documenter-dark .button.is-fullwidth {
+      display: flex;
+      width: 100%; }
+    html.theme--documenter-dark .button.is-loading {
+      color: transparent !important;
+      pointer-events: none; }
+      html.theme--documenter-dark .button.is-loading::after {
+        position: absolute;
+        left: calc(50% - (1em / 2));
+        top: calc(50% - (1em / 2));
+        position: absolute !important; }
+    html.theme--documenter-dark .button.is-static {
+      background-color: #282f2f;
+      border-color: #5e6d6f;
+      color: #dbdee0;
+      box-shadow: none;
+      pointer-events: none; }
+    html.theme--documenter-dark .button.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.button {
+      border-radius: 290486px;
+      padding-left: 1em;
+      padding-right: 1em; }
+  html.theme--documenter-dark .buttons {
+    align-items: center;
+    display: flex;
+    flex-wrap: wrap;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .buttons .button {
+      margin-bottom: 0.5rem; }
+      html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth) {
+        margin-right: 0.5rem; }
+    html.theme--documenter-dark .buttons:last-child {
+      margin-bottom: -0.5rem; }
+    html.theme--documenter-dark .buttons:not(:last-child) {
+      margin-bottom: 1rem; }
+    html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large) {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large) {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium) {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .buttons.has-addons .button:not(:first-child) {
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    html.theme--documenter-dark .buttons.has-addons .button:not(:last-child) {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0;
+      margin-right: -1px; }
+    html.theme--documenter-dark .buttons.has-addons .button:last-child {
+      margin-right: 0; }
+    html.theme--documenter-dark .buttons.has-addons .button:hover, html.theme--documenter-dark .buttons.has-addons .button.is-hovered {
+      z-index: 2; }
+    html.theme--documenter-dark .buttons.has-addons .button:focus, html.theme--documenter-dark .buttons.has-addons .button.is-focused, html.theme--documenter-dark .buttons.has-addons .button:active, html.theme--documenter-dark .buttons.has-addons .button.is-active, html.theme--documenter-dark .buttons.has-addons .button.is-selected {
+      z-index: 3; }
+      html.theme--documenter-dark .buttons.has-addons .button:focus:hover, html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover, html.theme--documenter-dark .buttons.has-addons .button:active:hover, html.theme--documenter-dark .buttons.has-addons .button.is-active:hover, html.theme--documenter-dark .buttons.has-addons .button.is-selected:hover {
+        z-index: 4; }
+    html.theme--documenter-dark .buttons.has-addons .button.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .buttons.is-centered {
+      justify-content: center; }
+      html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth) {
+        margin-left: 0.25rem;
+        margin-right: 0.25rem; }
+    html.theme--documenter-dark .buttons.is-right {
+      justify-content: flex-end; }
+      html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth) {
+        margin-left: 0.25rem;
+        margin-right: 0.25rem; }
+  html.theme--documenter-dark .container {
+    flex-grow: 1;
+    margin: 0 auto;
+    position: relative;
+    width: auto; }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .container {
+        max-width: 992px; }
+        html.theme--documenter-dark .container.is-fluid {
+          margin-left: 32px;
+          margin-right: 32px;
+          max-width: none; } }
+    @media screen and (max-width: 1215px) {
+      html.theme--documenter-dark .container.is-widescreen {
+        max-width: 1152px; } }
+    @media screen and (max-width: 1407px) {
+      html.theme--documenter-dark .container.is-fullhd {
+        max-width: 1344px; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .container {
+        max-width: 1152px; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .container {
+        max-width: 1344px; } }
+  html.theme--documenter-dark .content li + li {
+    margin-top: 0.25em; }
+  html.theme--documenter-dark .content p:not(:last-child),
+  html.theme--documenter-dark .content dl:not(:last-child),
+  html.theme--documenter-dark .content ol:not(:last-child),
+  html.theme--documenter-dark .content ul:not(:last-child),
+  html.theme--documenter-dark .content blockquote:not(:last-child),
+  html.theme--documenter-dark .content pre:not(:last-child),
+  html.theme--documenter-dark .content table:not(:last-child) {
+    margin-bottom: 1em; }
+  html.theme--documenter-dark .content h1,
+  html.theme--documenter-dark .content h2,
+  html.theme--documenter-dark .content h3,
+  html.theme--documenter-dark .content h4,
+  html.theme--documenter-dark .content h5,
+  html.theme--documenter-dark .content h6 {
+    color: #f2f2f2;
+    font-weight: 600;
+    line-height: 1.125; }
+  html.theme--documenter-dark .content h1 {
+    font-size: 2em;
+    margin-bottom: 0.5em; }
+    html.theme--documenter-dark .content h1:not(:first-child) {
+      margin-top: 1em; }
+  html.theme--documenter-dark .content h2 {
+    font-size: 1.75em;
+    margin-bottom: 0.5714em; }
+    html.theme--documenter-dark .content h2:not(:first-child) {
+      margin-top: 1.1428em; }
+  html.theme--documenter-dark .content h3 {
+    font-size: 1.5em;
+    margin-bottom: 0.6666em; }
+    html.theme--documenter-dark .content h3:not(:first-child) {
+      margin-top: 1.3333em; }
+  html.theme--documenter-dark .content h4 {
+    font-size: 1.25em;
+    margin-bottom: 0.8em; }
+  html.theme--documenter-dark .content h5 {
+    font-size: 1.125em;
+    margin-bottom: 0.8888em; }
+  html.theme--documenter-dark .content h6 {
+    font-size: 1em;
+    margin-bottom: 1em; }
+  html.theme--documenter-dark .content blockquote {
+    background-color: #282f2f;
+    border-left: 5px solid #5e6d6f;
+    padding: 1.25em 1.5em; }
+  html.theme--documenter-dark .content ol {
+    list-style-position: outside;
+    margin-left: 2em;
+    margin-top: 1em; }
+    html.theme--documenter-dark .content ol:not([type]) {
+      list-style-type: decimal; }
+      html.theme--documenter-dark .content ol:not([type]).is-lower-alpha {
+        list-style-type: lower-alpha; }
+      html.theme--documenter-dark .content ol:not([type]).is-lower-roman {
+        list-style-type: lower-roman; }
+      html.theme--documenter-dark .content ol:not([type]).is-upper-alpha {
+        list-style-type: upper-alpha; }
+      html.theme--documenter-dark .content ol:not([type]).is-upper-roman {
+        list-style-type: upper-roman; }
+  html.theme--documenter-dark .content ul {
+    list-style: disc outside;
+    margin-left: 2em;
+    margin-top: 1em; }
+    html.theme--documenter-dark .content ul ul {
+      list-style-type: circle;
+      margin-top: 0.5em; }
+      html.theme--documenter-dark .content ul ul ul {
+        list-style-type: square; }
+  html.theme--documenter-dark .content dd {
+    margin-left: 2em; }
+  html.theme--documenter-dark .content figure {
+    margin-left: 2em;
+    margin-right: 2em;
+    text-align: center; }
+    html.theme--documenter-dark .content figure:not(:first-child) {
+      margin-top: 2em; }
+    html.theme--documenter-dark .content figure:not(:last-child) {
+      margin-bottom: 2em; }
+    html.theme--documenter-dark .content figure img {
+      display: inline-block; }
+    html.theme--documenter-dark .content figure figcaption {
+      font-style: italic; }
+  html.theme--documenter-dark .content pre {
+    -webkit-overflow-scrolling: touch;
+    overflow-x: auto;
+    padding: 0.7rem 0.5rem;
+    white-space: pre;
+    word-wrap: normal; }
+  html.theme--documenter-dark .content sup,
+  html.theme--documenter-dark .content sub {
+    font-size: 75%; }
+  html.theme--documenter-dark .content table {
+    width: 100%; }
+    html.theme--documenter-dark .content table td,
+    html.theme--documenter-dark .content table th {
+      border: 1px solid #5e6d6f;
+      border-width: 0 0 1px;
+      padding: 0.5em 0.75em;
+      vertical-align: top; }
+    html.theme--documenter-dark .content table th {
+      color: #f2f2f2; }
+      html.theme--documenter-dark .content table th:not([align]) {
+        text-align: left; }
+    html.theme--documenter-dark .content table thead td,
+    html.theme--documenter-dark .content table thead th {
+      border-width: 0 0 2px;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .content table tfoot td,
+    html.theme--documenter-dark .content table tfoot th {
+      border-width: 2px 0 0;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .content table tbody tr:last-child td,
+    html.theme--documenter-dark .content table tbody tr:last-child th {
+      border-bottom-width: 0; }
+  html.theme--documenter-dark .content .tabs li + li {
+    margin-top: 0; }
+  html.theme--documenter-dark .content.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.content {
+    font-size: 0.85em; }
+  html.theme--documenter-dark .content.is-medium {
+    font-size: 1.25rem; }
+  html.theme--documenter-dark .content.is-large {
+    font-size: 1.5rem; }
+  html.theme--documenter-dark .icon {
+    align-items: center;
+    display: inline-flex;
+    justify-content: center;
+    height: 1.5rem;
+    width: 1.5rem; }
+    html.theme--documenter-dark .icon.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.icon {
+      height: 1rem;
+      width: 1rem; }
+    html.theme--documenter-dark .icon.is-medium {
+      height: 2rem;
+      width: 2rem; }
+    html.theme--documenter-dark .icon.is-large {
+      height: 3rem;
+      width: 3rem; }
+  html.theme--documenter-dark .image, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img {
+    display: block;
+    position: relative; }
+    html.theme--documenter-dark .image img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img img {
+      display: block;
+      height: auto;
+      width: 100%; }
+      html.theme--documenter-dark .image img.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img img.is-rounded {
+        border-radius: 290486px; }
+    html.theme--documenter-dark .image.is-square img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square img,
+    html.theme--documenter-dark .image.is-square .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, html.theme--documenter-dark .image.is-1by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+    html.theme--documenter-dark .image.is-1by1 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, html.theme--documenter-dark .image.is-5by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+    html.theme--documenter-dark .image.is-5by4 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, html.theme--documenter-dark .image.is-4by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+    html.theme--documenter-dark .image.is-4by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, html.theme--documenter-dark .image.is-3by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+    html.theme--documenter-dark .image.is-3by2 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, html.theme--documenter-dark .image.is-5by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+    html.theme--documenter-dark .image.is-5by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, html.theme--documenter-dark .image.is-16by9 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+    html.theme--documenter-dark .image.is-16by9 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, html.theme--documenter-dark .image.is-2by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+    html.theme--documenter-dark .image.is-2by1 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, html.theme--documenter-dark .image.is-3by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+    html.theme--documenter-dark .image.is-3by1 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, html.theme--documenter-dark .image.is-4by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+    html.theme--documenter-dark .image.is-4by5 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, html.theme--documenter-dark .image.is-3by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+    html.theme--documenter-dark .image.is-3by4 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, html.theme--documenter-dark .image.is-2by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+    html.theme--documenter-dark .image.is-2by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, html.theme--documenter-dark .image.is-3by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+    html.theme--documenter-dark .image.is-3by5 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, html.theme--documenter-dark .image.is-9by16 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+    html.theme--documenter-dark .image.is-9by16 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, html.theme--documenter-dark .image.is-1by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+    html.theme--documenter-dark .image.is-1by2 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, html.theme--documenter-dark .image.is-1by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+    html.theme--documenter-dark .image.is-1by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio {
+      height: 100%;
+      width: 100%; }
+    html.theme--documenter-dark .image.is-square, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square, html.theme--documenter-dark .image.is-1by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 {
+      padding-top: 100%; }
+    html.theme--documenter-dark .image.is-5by4, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 {
+      padding-top: 80%; }
+    html.theme--documenter-dark .image.is-4by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 {
+      padding-top: 75%; }
+    html.theme--documenter-dark .image.is-3by2, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 {
+      padding-top: 66.6666%; }
+    html.theme--documenter-dark .image.is-5by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 {
+      padding-top: 60%; }
+    html.theme--documenter-dark .image.is-16by9, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 {
+      padding-top: 56.25%; }
+    html.theme--documenter-dark .image.is-2by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 {
+      padding-top: 50%; }
+    html.theme--documenter-dark .image.is-3by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 {
+      padding-top: 33.3333%; }
+    html.theme--documenter-dark .image.is-4by5, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 {
+      padding-top: 125%; }
+    html.theme--documenter-dark .image.is-3by4, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 {
+      padding-top: 133.3333%; }
+    html.theme--documenter-dark .image.is-2by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 {
+      padding-top: 150%; }
+    html.theme--documenter-dark .image.is-3by5, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 {
+      padding-top: 166.6666%; }
+    html.theme--documenter-dark .image.is-9by16, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 {
+      padding-top: 177.7777%; }
+    html.theme--documenter-dark .image.is-1by2, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 {
+      padding-top: 200%; }
+    html.theme--documenter-dark .image.is-1by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 {
+      padding-top: 300%; }
+    html.theme--documenter-dark .image.is-16x16, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16x16 {
+      height: 16px;
+      width: 16px; }
+    html.theme--documenter-dark .image.is-24x24, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-24x24 {
+      height: 24px;
+      width: 24px; }
+    html.theme--documenter-dark .image.is-32x32, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-32x32 {
+      height: 32px;
+      width: 32px; }
+    html.theme--documenter-dark .image.is-48x48, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-48x48 {
+      height: 48px;
+      width: 48px; }
+    html.theme--documenter-dark .image.is-64x64, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-64x64 {
+      height: 64px;
+      width: 64px; }
+    html.theme--documenter-dark .image.is-96x96, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-96x96 {
+      height: 96px;
+      width: 96px; }
+    html.theme--documenter-dark .image.is-128x128, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-128x128 {
+      height: 128px;
+      width: 128px; }
+  html.theme--documenter-dark .notification {
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    padding: 1.25rem 2.5rem 1.25rem 1.5rem;
+    position: relative; }
+    html.theme--documenter-dark .notification a:not(.button):not(.dropdown-item) {
+      color: currentColor;
+      text-decoration: underline; }
+    html.theme--documenter-dark .notification strong {
+      color: currentColor; }
+    html.theme--documenter-dark .notification code,
+    html.theme--documenter-dark .notification pre {
+      background: white; }
+    html.theme--documenter-dark .notification pre code {
+      background: transparent; }
+    html.theme--documenter-dark .notification > .delete {
+      position: absolute;
+      right: 0.5rem;
+      top: 0.5rem; }
+    html.theme--documenter-dark .notification .title,
+    html.theme--documenter-dark .notification .subtitle,
+    html.theme--documenter-dark .notification .content {
+      color: currentColor; }
+    html.theme--documenter-dark .notification.is-white {
+      background-color: white;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .notification.is-black {
+      background-color: #0a0a0a;
+      color: white; }
+    html.theme--documenter-dark .notification.is-light {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+    html.theme--documenter-dark .notification.is-dark, html.theme--documenter-dark .content kbd.notification {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .notification.is-primary, html.theme--documenter-dark .docstring > section > a.notification.docs-sourcelink {
+      background-color: #375a7f;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-link {
+      background-color: #1abc9c;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-info {
+      background-color: #024c7d;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-success {
+      background-color: #008438;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-warning {
+      background-color: #ad8100;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-danger {
+      background-color: #9e1b0d;
+      color: #fff; }
+  html.theme--documenter-dark .progress {
+    -moz-appearance: none;
+    -webkit-appearance: none;
+    border: none;
+    border-radius: 290486px;
+    display: block;
+    height: 15px;
+    overflow: hidden;
+    padding: 0;
+    width: 100%; }
+    html.theme--documenter-dark .progress::-webkit-progress-bar {
+      background-color: #5e6d6f; }
+    html.theme--documenter-dark .progress::-webkit-progress-value {
+      background-color: #dbdee0; }
+    html.theme--documenter-dark .progress::-moz-progress-bar {
+      background-color: #dbdee0; }
+    html.theme--documenter-dark .progress::-ms-fill {
+      background-color: #dbdee0;
+      border: none; }
+    html.theme--documenter-dark .progress.is-white::-webkit-progress-value {
+      background-color: white; }
+    html.theme--documenter-dark .progress.is-white::-moz-progress-bar {
+      background-color: white; }
+    html.theme--documenter-dark .progress.is-white::-ms-fill {
+      background-color: white; }
+    html.theme--documenter-dark .progress.is-white:indeterminate {
+      background-image: linear-gradient(to right, white 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-black::-webkit-progress-value {
+      background-color: #0a0a0a; }
+    html.theme--documenter-dark .progress.is-black::-moz-progress-bar {
+      background-color: #0a0a0a; }
+    html.theme--documenter-dark .progress.is-black::-ms-fill {
+      background-color: #0a0a0a; }
+    html.theme--documenter-dark .progress.is-black:indeterminate {
+      background-image: linear-gradient(to right, #0a0a0a 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-light::-webkit-progress-value {
+      background-color: #ecf0f1; }
+    html.theme--documenter-dark .progress.is-light::-moz-progress-bar {
+      background-color: #ecf0f1; }
+    html.theme--documenter-dark .progress.is-light::-ms-fill {
+      background-color: #ecf0f1; }
+    html.theme--documenter-dark .progress.is-light:indeterminate {
+      background-image: linear-gradient(to right, #ecf0f1 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-dark::-webkit-progress-value, html.theme--documenter-dark .content kbd.progress::-webkit-progress-value {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .progress.is-dark::-moz-progress-bar, html.theme--documenter-dark .content kbd.progress::-moz-progress-bar {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .progress.is-dark::-ms-fill, html.theme--documenter-dark .content kbd.progress::-ms-fill {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .progress.is-dark:indeterminate, html.theme--documenter-dark .content kbd.progress:indeterminate {
+      background-image: linear-gradient(to right, #282f2f 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-primary::-webkit-progress-value, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-webkit-progress-value {
+      background-color: #375a7f; }
+    html.theme--documenter-dark .progress.is-primary::-moz-progress-bar, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-moz-progress-bar {
+      background-color: #375a7f; }
+    html.theme--documenter-dark .progress.is-primary::-ms-fill, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-ms-fill {
+      background-color: #375a7f; }
+    html.theme--documenter-dark .progress.is-primary:indeterminate, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink:indeterminate {
+      background-image: linear-gradient(to right, #375a7f 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-link::-webkit-progress-value {
+      background-color: #1abc9c; }
+    html.theme--documenter-dark .progress.is-link::-moz-progress-bar {
+      background-color: #1abc9c; }
+    html.theme--documenter-dark .progress.is-link::-ms-fill {
+      background-color: #1abc9c; }
+    html.theme--documenter-dark .progress.is-link:indeterminate {
+      background-image: linear-gradient(to right, #1abc9c 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-info::-webkit-progress-value {
+      background-color: #024c7d; }
+    html.theme--documenter-dark .progress.is-info::-moz-progress-bar {
+      background-color: #024c7d; }
+    html.theme--documenter-dark .progress.is-info::-ms-fill {
+      background-color: #024c7d; }
+    html.theme--documenter-dark .progress.is-info:indeterminate {
+      background-image: linear-gradient(to right, #024c7d 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-success::-webkit-progress-value {
+      background-color: #008438; }
+    html.theme--documenter-dark .progress.is-success::-moz-progress-bar {
+      background-color: #008438; }
+    html.theme--documenter-dark .progress.is-success::-ms-fill {
+      background-color: #008438; }
+    html.theme--documenter-dark .progress.is-success:indeterminate {
+      background-image: linear-gradient(to right, #008438 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-warning::-webkit-progress-value {
+      background-color: #ad8100; }
+    html.theme--documenter-dark .progress.is-warning::-moz-progress-bar {
+      background-color: #ad8100; }
+    html.theme--documenter-dark .progress.is-warning::-ms-fill {
+      background-color: #ad8100; }
+    html.theme--documenter-dark .progress.is-warning:indeterminate {
+      background-image: linear-gradient(to right, #ad8100 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-danger::-webkit-progress-value {
+      background-color: #9e1b0d; }
+    html.theme--documenter-dark .progress.is-danger::-moz-progress-bar {
+      background-color: #9e1b0d; }
+    html.theme--documenter-dark .progress.is-danger::-ms-fill {
+      background-color: #9e1b0d; }
+    html.theme--documenter-dark .progress.is-danger:indeterminate {
+      background-image: linear-gradient(to right, #9e1b0d 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress:indeterminate {
+      animation-duration: 1.5s;
+      animation-iteration-count: infinite;
+      animation-name: moveIndeterminate;
+      animation-timing-function: linear;
+      background-color: #5e6d6f;
+      background-image: linear-gradient(to right, #fff 30%, #5e6d6f 30%);
+      background-position: top left;
+      background-repeat: no-repeat;
+      background-size: 150% 150%; }
+      html.theme--documenter-dark .progress:indeterminate::-webkit-progress-bar {
+        background-color: transparent; }
+      html.theme--documenter-dark .progress:indeterminate::-moz-progress-bar {
+        background-color: transparent; }
+    html.theme--documenter-dark .progress.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.progress {
+      height: 0.85em; }
+    html.theme--documenter-dark .progress.is-medium {
+      height: 1.25rem; }
+    html.theme--documenter-dark .progress.is-large {
+      height: 1.5rem; }
+
+@keyframes moveIndeterminate {
+  from {
+    background-position: 200% 0; }
+  to {
+    background-position: -200% 0; } }
+  html.theme--documenter-dark .table {
+    background-color: #343c3d;
+    color: #fff; }
+    html.theme--documenter-dark .table td,
+    html.theme--documenter-dark .table th {
+      border: 1px solid #5e6d6f;
+      border-width: 0 0 1px;
+      padding: 0.5em 0.75em;
+      vertical-align: top; }
+      html.theme--documenter-dark .table td.is-white,
+      html.theme--documenter-dark .table th.is-white {
+        background-color: white;
+        border-color: white;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .table td.is-black,
+      html.theme--documenter-dark .table th.is-black {
+        background-color: #0a0a0a;
+        border-color: #0a0a0a;
+        color: white; }
+      html.theme--documenter-dark .table td.is-light,
+      html.theme--documenter-dark .table th.is-light {
+        background-color: #ecf0f1;
+        border-color: #ecf0f1;
+        color: #282f2f; }
+      html.theme--documenter-dark .table td.is-dark,
+      html.theme--documenter-dark .table th.is-dark {
+        background-color: #282f2f;
+        border-color: #282f2f;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .table td.is-primary,
+      html.theme--documenter-dark .table th.is-primary {
+        background-color: #375a7f;
+        border-color: #375a7f;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-link,
+      html.theme--documenter-dark .table th.is-link {
+        background-color: #1abc9c;
+        border-color: #1abc9c;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-info,
+      html.theme--documenter-dark .table th.is-info {
+        background-color: #024c7d;
+        border-color: #024c7d;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-success,
+      html.theme--documenter-dark .table th.is-success {
+        background-color: #008438;
+        border-color: #008438;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-warning,
+      html.theme--documenter-dark .table th.is-warning {
+        background-color: #ad8100;
+        border-color: #ad8100;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-danger,
+      html.theme--documenter-dark .table th.is-danger {
+        background-color: #9e1b0d;
+        border-color: #9e1b0d;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-narrow,
+      html.theme--documenter-dark .table th.is-narrow {
+        white-space: nowrap;
+        width: 1%; }
+      html.theme--documenter-dark .table td.is-selected,
+      html.theme--documenter-dark .table th.is-selected {
+        background-color: #375a7f;
+        color: #fff; }
+        html.theme--documenter-dark .table td.is-selected a,
+        html.theme--documenter-dark .table td.is-selected strong,
+        html.theme--documenter-dark .table th.is-selected a,
+        html.theme--documenter-dark .table th.is-selected strong {
+          color: currentColor; }
+    html.theme--documenter-dark .table th {
+      color: #f2f2f2; }
+      html.theme--documenter-dark .table th:not([align]) {
+        text-align: left; }
+    html.theme--documenter-dark .table tr.is-selected {
+      background-color: #375a7f;
+      color: #fff; }
+      html.theme--documenter-dark .table tr.is-selected a,
+      html.theme--documenter-dark .table tr.is-selected strong {
+        color: currentColor; }
+      html.theme--documenter-dark .table tr.is-selected td,
+      html.theme--documenter-dark .table tr.is-selected th {
+        border-color: #fff;
+        color: currentColor; }
+    html.theme--documenter-dark .table thead {
+      background-color: transparent; }
+      html.theme--documenter-dark .table thead td,
+      html.theme--documenter-dark .table thead th {
+        border-width: 0 0 2px;
+        color: #f2f2f2; }
+    html.theme--documenter-dark .table tfoot {
+      background-color: transparent; }
+      html.theme--documenter-dark .table tfoot td,
+      html.theme--documenter-dark .table tfoot th {
+        border-width: 2px 0 0;
+        color: #f2f2f2; }
+    html.theme--documenter-dark .table tbody {
+      background-color: transparent; }
+      html.theme--documenter-dark .table tbody tr:last-child td,
+      html.theme--documenter-dark .table tbody tr:last-child th {
+        border-bottom-width: 0; }
+    html.theme--documenter-dark .table.is-bordered td,
+    html.theme--documenter-dark .table.is-bordered th {
+      border-width: 1px; }
+    html.theme--documenter-dark .table.is-bordered tr:last-child td,
+    html.theme--documenter-dark .table.is-bordered tr:last-child th {
+      border-bottom-width: 1px; }
+    html.theme--documenter-dark .table.is-fullwidth {
+      width: 100%; }
+    html.theme--documenter-dark .table.is-hoverable tbody tr:not(.is-selected):hover {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover {
+      background-color: #282f2f; }
+      html.theme--documenter-dark .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover:nth-child(even) {
+        background-color: #2d3435; }
+    html.theme--documenter-dark .table.is-narrow td,
+    html.theme--documenter-dark .table.is-narrow th {
+      padding: 0.25em 0.5em; }
+    html.theme--documenter-dark .table.is-striped tbody tr:not(.is-selected):nth-child(even) {
+      background-color: #282f2f; }
+  html.theme--documenter-dark .table-container {
+    -webkit-overflow-scrolling: touch;
+    overflow: auto;
+    overflow-y: hidden;
+    max-width: 100%; }
+  html.theme--documenter-dark .tags {
+    align-items: center;
+    display: flex;
+    flex-wrap: wrap;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .tags .tag, html.theme--documenter-dark .tags .docstring > section > a.docs-sourcelink, html.theme--documenter-dark .tags .content kbd, html.theme--documenter-dark .content .tags kbd {
+      margin-bottom: 0.5rem; }
+      html.theme--documenter-dark .tags .tag:not(:last-child), html.theme--documenter-dark .tags .docstring > section > a.docs-sourcelink:not(:last-child), html.theme--documenter-dark .tags .content kbd:not(:last-child), html.theme--documenter-dark .content .tags kbd:not(:last-child) {
+        margin-right: 0.5rem; }
+    html.theme--documenter-dark .tags:last-child {
+      margin-bottom: -0.5rem; }
+    html.theme--documenter-dark .tags:not(:last-child) {
+      margin-bottom: 1rem; }
+    html.theme--documenter-dark .tags.are-medium .tag:not(.is-normal):not(.is-large), html.theme--documenter-dark .tags.are-medium .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-large), html.theme--documenter-dark .tags.are-medium .content kbd:not(.is-normal):not(.is-large), html.theme--documenter-dark .content .tags.are-medium kbd:not(.is-normal):not(.is-large) {
+      font-size: 15px; }
+    html.theme--documenter-dark .tags.are-large .tag:not(.is-normal):not(.is-medium), html.theme--documenter-dark .tags.are-large .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-medium), html.theme--documenter-dark .tags.are-large .content kbd:not(.is-normal):not(.is-medium), html.theme--documenter-dark .content .tags.are-large kbd:not(.is-normal):not(.is-medium) {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .tags.is-centered {
+      justify-content: center; }
+      html.theme--documenter-dark .tags.is-centered .tag, html.theme--documenter-dark .tags.is-centered .docstring > section > a.docs-sourcelink, html.theme--documenter-dark .tags.is-centered .content kbd, html.theme--documenter-dark .content .tags.is-centered kbd {
+        margin-right: 0.25rem;
+        margin-left: 0.25rem; }
+    html.theme--documenter-dark .tags.is-right {
+      justify-content: flex-end; }
+      html.theme--documenter-dark .tags.is-right .tag:not(:first-child), html.theme--documenter-dark .tags.is-right .docstring > section > a.docs-sourcelink:not(:first-child), html.theme--documenter-dark .tags.is-right .content kbd:not(:first-child), html.theme--documenter-dark .content .tags.is-right kbd:not(:first-child) {
+        margin-left: 0.5rem; }
+      html.theme--documenter-dark .tags.is-right .tag:not(:last-child), html.theme--documenter-dark .tags.is-right .docstring > section > a.docs-sourcelink:not(:last-child), html.theme--documenter-dark .tags.is-right .content kbd:not(:last-child), html.theme--documenter-dark .content .tags.is-right kbd:not(:last-child) {
+        margin-right: 0; }
+    html.theme--documenter-dark .tags.has-addons .tag, html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink, html.theme--documenter-dark .tags.has-addons .content kbd, html.theme--documenter-dark .content .tags.has-addons kbd {
+      margin-right: 0; }
+      html.theme--documenter-dark .tags.has-addons .tag:not(:first-child), html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink:not(:first-child), html.theme--documenter-dark .tags.has-addons .content kbd:not(:first-child), html.theme--documenter-dark .content .tags.has-addons kbd:not(:first-child) {
+        margin-left: 0;
+        border-bottom-left-radius: 0;
+        border-top-left-radius: 0; }
+      html.theme--documenter-dark .tags.has-addons .tag:not(:last-child), html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink:not(:last-child), html.theme--documenter-dark .tags.has-addons .content kbd:not(:last-child), html.theme--documenter-dark .content .tags.has-addons kbd:not(:last-child) {
+        border-bottom-right-radius: 0;
+        border-top-right-radius: 0; }
+  html.theme--documenter-dark .tag:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body), html.theme--documenter-dark .content kbd:not(body) {
+    align-items: center;
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    color: #fff;
+    display: inline-flex;
+    font-size: 0.85em;
+    height: 2em;
+    justify-content: center;
+    line-height: 1.5;
+    padding-left: 0.75em;
+    padding-right: 0.75em;
+    white-space: nowrap; }
+    html.theme--documenter-dark .tag:not(body) .delete, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .delete, html.theme--documenter-dark .content kbd:not(body) .delete {
+      margin-left: 0.25rem;
+      margin-right: -0.375rem; }
+    html.theme--documenter-dark .tag:not(body).is-white, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-white, html.theme--documenter-dark .content kbd:not(body).is-white {
+      background-color: white;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .tag:not(body).is-black, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-black, html.theme--documenter-dark .content kbd:not(body).is-black {
+      background-color: #0a0a0a;
+      color: white; }
+    html.theme--documenter-dark .tag:not(body).is-light, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-light, html.theme--documenter-dark .content kbd:not(body).is-light {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+    html.theme--documenter-dark .tag:not(body).is-dark, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-dark, html.theme--documenter-dark .content kbd:not(body) {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .tag:not(body).is-primary, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body), html.theme--documenter-dark .content kbd:not(body).is-primary {
+      background-color: #375a7f;
+      color: #fff; }
+    html.theme--documenter-dark .tag:not(body).is-link, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-link, html.theme--documenter-dark .content kbd:not(body).is-link {
+      background-color: #1abc9c;
+      color: #fff; }
+    html.theme--documenter-dark .tag:not(body).is-info, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-info, html.theme--documenter-dark .content kbd:not(body).is-info {
+      background-color: #024c7d;
+      color: #fff; }
+    html.theme--documenter-dark .tag:not(body).is-success, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-success, html.theme--documenter-dark .content kbd:not(body).is-success {
+      background-color: #008438;
+      color: #fff; }
+    html.theme--documenter-dark .tag:not(body).is-warning, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-warning, html.theme--documenter-dark .content kbd:not(body).is-warning {
+      background-color: #ad8100;
+      color: #fff; }
+    html.theme--documenter-dark .tag:not(body).is-danger, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-danger, html.theme--documenter-dark .content kbd:not(body).is-danger {
+      background-color: #9e1b0d;
+      color: #fff; }
+    html.theme--documenter-dark .tag:not(body).is-normal, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-normal, html.theme--documenter-dark .content kbd:not(body).is-normal {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .tag:not(body).is-medium, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-medium, html.theme--documenter-dark .content kbd:not(body).is-medium {
+      font-size: 15px; }
+    html.theme--documenter-dark .tag:not(body).is-large, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-large, html.theme--documenter-dark .content kbd:not(body).is-large {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .tag:not(body) .icon:first-child:not(:last-child), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:not(:last-child), html.theme--documenter-dark .content kbd:not(body) .icon:first-child:not(:last-child) {
+      margin-left: -0.375em;
+      margin-right: 0.1875em; }
+    html.theme--documenter-dark .tag:not(body) .icon:last-child:not(:first-child), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:last-child:not(:first-child), html.theme--documenter-dark .content kbd:not(body) .icon:last-child:not(:first-child) {
+      margin-left: 0.1875em;
+      margin-right: -0.375em; }
+    html.theme--documenter-dark .tag:not(body) .icon:first-child:last-child, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:last-child, html.theme--documenter-dark .content kbd:not(body) .icon:first-child:last-child {
+      margin-left: -0.375em;
+      margin-right: -0.375em; }
+    html.theme--documenter-dark .tag:not(body).is-delete, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-delete, html.theme--documenter-dark .content kbd:not(body).is-delete {
+      margin-left: 1px;
+      padding: 0;
+      position: relative;
+      width: 2em; }
+      html.theme--documenter-dark .tag:not(body).is-delete::before, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-delete::before, html.theme--documenter-dark .content kbd:not(body).is-delete::before, html.theme--documenter-dark .tag:not(body).is-delete::after, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-delete::after, html.theme--documenter-dark .content kbd:not(body).is-delete::after {
+        background-color: currentColor;
+        content: "";
+        display: block;
+        left: 50%;
+        position: absolute;
+        top: 50%;
+        transform: translateX(-50%) translateY(-50%) rotate(45deg);
+        transform-origin: center center; }
+      html.theme--documenter-dark .tag:not(body).is-delete::before, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-delete::before, html.theme--documenter-dark .content kbd:not(body).is-delete::before {
+        height: 1px;
+        width: 50%; }
+      html.theme--documenter-dark .tag:not(body).is-delete::after, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-delete::after, html.theme--documenter-dark .content kbd:not(body).is-delete::after {
+        height: 50%;
+        width: 1px; }
+      html.theme--documenter-dark .tag:not(body).is-delete:hover, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-delete:hover, html.theme--documenter-dark .content kbd:not(body).is-delete:hover, html.theme--documenter-dark .tag:not(body).is-delete:focus, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-delete:focus, html.theme--documenter-dark .content kbd:not(body).is-delete:focus {
+        background-color: #1d2122; }
+      html.theme--documenter-dark .tag:not(body).is-delete:active, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-delete:active, html.theme--documenter-dark .content kbd:not(body).is-delete:active {
+        background-color: #111414; }
+    html.theme--documenter-dark .tag:not(body).is-rounded, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-rounded, html.theme--documenter-dark .content kbd:not(body).is-rounded, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.tag:not(body) {
+      border-radius: 290486px; }
+  html.theme--documenter-dark a.tag:hover, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:hover {
+    text-decoration: underline; }
+  html.theme--documenter-dark .title,
+  html.theme--documenter-dark .subtitle {
+    word-break: break-word; }
+    html.theme--documenter-dark .title em,
+    html.theme--documenter-dark .title span,
+    html.theme--documenter-dark .subtitle em,
+    html.theme--documenter-dark .subtitle span {
+      font-weight: inherit; }
+    html.theme--documenter-dark .title sub,
+    html.theme--documenter-dark .subtitle sub {
+      font-size: 0.75em; }
+    html.theme--documenter-dark .title sup,
+    html.theme--documenter-dark .subtitle sup {
+      font-size: 0.75em; }
+    html.theme--documenter-dark .title .tag, html.theme--documenter-dark .title .docstring > section > a.docs-sourcelink, html.theme--documenter-dark .title .content kbd, html.theme--documenter-dark .content .title kbd,
+    html.theme--documenter-dark .subtitle .tag,
+    html.theme--documenter-dark .subtitle .docstring > section > a.docs-sourcelink,
+    html.theme--documenter-dark .subtitle .content kbd,
+    html.theme--documenter-dark .content .subtitle kbd {
+      vertical-align: middle; }
+  html.theme--documenter-dark .title {
+    color: #fff;
+    font-size: 2rem;
+    font-weight: 500;
+    line-height: 1.125; }
+    html.theme--documenter-dark .title strong {
+      color: inherit;
+      font-weight: inherit; }
+    html.theme--documenter-dark .title + .highlight {
+      margin-top: -0.75rem; }
+    html.theme--documenter-dark .title:not(.is-spaced) + .subtitle {
+      margin-top: -1.25rem; }
+    html.theme--documenter-dark .title.is-1 {
+      font-size: 3rem; }
+    html.theme--documenter-dark .title.is-2 {
+      font-size: 2.5rem; }
+    html.theme--documenter-dark .title.is-3 {
+      font-size: 2rem; }
+    html.theme--documenter-dark .title.is-4 {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .title.is-5 {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .title.is-6 {
+      font-size: 15px; }
+    html.theme--documenter-dark .title.is-7 {
+      font-size: 0.85em; }
+  html.theme--documenter-dark .subtitle {
+    color: #8c9b9d;
+    font-size: 1.25rem;
+    font-weight: 400;
+    line-height: 1.25; }
+    html.theme--documenter-dark .subtitle strong {
+      color: #8c9b9d;
+      font-weight: 600; }
+    html.theme--documenter-dark .subtitle:not(.is-spaced) + .title {
+      margin-top: -1.25rem; }
+    html.theme--documenter-dark .subtitle.is-1 {
+      font-size: 3rem; }
+    html.theme--documenter-dark .subtitle.is-2 {
+      font-size: 2.5rem; }
+    html.theme--documenter-dark .subtitle.is-3 {
+      font-size: 2rem; }
+    html.theme--documenter-dark .subtitle.is-4 {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .subtitle.is-5 {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .subtitle.is-6 {
+      font-size: 15px; }
+    html.theme--documenter-dark .subtitle.is-7 {
+      font-size: 0.85em; }
+  html.theme--documenter-dark .heading {
+    display: block;
+    font-size: 11px;
+    letter-spacing: 1px;
+    margin-bottom: 5px;
+    text-transform: uppercase; }
+  html.theme--documenter-dark .highlight {
+    font-weight: 400;
+    max-width: 100%;
+    overflow: hidden;
+    padding: 0; }
+    html.theme--documenter-dark .highlight pre {
+      overflow: auto;
+      max-width: 100%; }
+  html.theme--documenter-dark .number {
+    align-items: center;
+    background-color: #282f2f;
+    border-radius: 290486px;
+    display: inline-flex;
+    font-size: 1.25rem;
+    height: 2em;
+    justify-content: center;
+    margin-right: 1.5rem;
+    min-width: 2.5em;
+    padding: 0.25rem 0.5rem;
+    text-align: center;
+    vertical-align: top; }
+  html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark .textarea, html.theme--documenter-dark .select select {
+    background-color: #1f2424;
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    color: #dbdee0; }
+    html.theme--documenter-dark .input::-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-moz-placeholder, html.theme--documenter-dark .textarea::-moz-placeholder, html.theme--documenter-dark .select select::-moz-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .input::-webkit-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder, html.theme--documenter-dark .textarea::-webkit-input-placeholder, html.theme--documenter-dark .select select::-webkit-input-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .input:-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-moz-placeholder, html.theme--documenter-dark .textarea:-moz-placeholder, html.theme--documenter-dark .select select:-moz-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .input:-ms-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder, html.theme--documenter-dark .textarea:-ms-input-placeholder, html.theme--documenter-dark .select select:-ms-input-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .input:hover, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:hover, html.theme--documenter-dark .textarea:hover, html.theme--documenter-dark .select select:hover, html.theme--documenter-dark .is-hovered.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-hovered, html.theme--documenter-dark .is-hovered.textarea, html.theme--documenter-dark .select select.is-hovered {
+      border-color: #8c9b9d; }
+    html.theme--documenter-dark .input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:focus, html.theme--documenter-dark .textarea:focus, html.theme--documenter-dark .select select:focus, html.theme--documenter-dark .is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-focused.textarea, html.theme--documenter-dark .select select.is-focused, html.theme--documenter-dark .input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:active, html.theme--documenter-dark .textarea:active, html.theme--documenter-dark .select select:active, html.theme--documenter-dark .is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .is-active.textarea, html.theme--documenter-dark .select select.is-active {
+      border-color: #1abc9c;
+      box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .input[disabled], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled], html.theme--documenter-dark .textarea[disabled], html.theme--documenter-dark .select select[disabled],
+    fieldset[disabled] html.theme--documenter-dark .input,
+    fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input,
+    fieldset[disabled] html.theme--documenter-dark .textarea,
+    fieldset[disabled] html.theme--documenter-dark .select select {
+      background-color: #8c9b9d;
+      border-color: #282f2f;
+      box-shadow: none;
+      color: white; }
+      html.theme--documenter-dark .input[disabled]::-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]::-moz-placeholder, html.theme--documenter-dark .textarea[disabled]::-moz-placeholder, html.theme--documenter-dark .select select[disabled]::-moz-placeholder,
+      fieldset[disabled] html.theme--documenter-dark .input::-moz-placeholder,
+      fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-moz-placeholder,
+      fieldset[disabled] html.theme--documenter-dark .textarea::-moz-placeholder,
+      fieldset[disabled] html.theme--documenter-dark .select select::-moz-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+      html.theme--documenter-dark .input[disabled]::-webkit-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]::-webkit-input-placeholder, html.theme--documenter-dark .textarea[disabled]::-webkit-input-placeholder, html.theme--documenter-dark .select select[disabled]::-webkit-input-placeholder,
+      fieldset[disabled] html.theme--documenter-dark .input::-webkit-input-placeholder,
+      fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder,
+      fieldset[disabled] html.theme--documenter-dark .textarea::-webkit-input-placeholder,
+      fieldset[disabled] html.theme--documenter-dark .select select::-webkit-input-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+      html.theme--documenter-dark .input[disabled]:-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]:-moz-placeholder, html.theme--documenter-dark .textarea[disabled]:-moz-placeholder, html.theme--documenter-dark .select select[disabled]:-moz-placeholder,
+      fieldset[disabled] html.theme--documenter-dark .input:-moz-placeholder,
+      fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-moz-placeholder,
+      fieldset[disabled] html.theme--documenter-dark .textarea:-moz-placeholder,
+      fieldset[disabled] html.theme--documenter-dark .select select:-moz-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+      html.theme--documenter-dark .input[disabled]:-ms-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]:-ms-input-placeholder, html.theme--documenter-dark .textarea[disabled]:-ms-input-placeholder, html.theme--documenter-dark .select select[disabled]:-ms-input-placeholder,
+      fieldset[disabled] html.theme--documenter-dark .input:-ms-input-placeholder,
+      fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder,
+      fieldset[disabled] html.theme--documenter-dark .textarea:-ms-input-placeholder,
+      fieldset[disabled] html.theme--documenter-dark .select select:-ms-input-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+  html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark .textarea {
+    box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.1);
+    max-width: 100%;
+    width: 100%; }
+    html.theme--documenter-dark .input[readonly], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[readonly], html.theme--documenter-dark .textarea[readonly] {
+      box-shadow: none; }
+    html.theme--documenter-dark .is-white.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white, html.theme--documenter-dark .is-white.textarea {
+      border-color: white; }
+      html.theme--documenter-dark .is-white.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white:focus, html.theme--documenter-dark .is-white.textarea:focus, html.theme--documenter-dark .is-white.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white.is-focused, html.theme--documenter-dark .is-white.is-focused.textarea, html.theme--documenter-dark .is-white.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white:active, html.theme--documenter-dark .is-white.textarea:active, html.theme--documenter-dark .is-white.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white.is-active, html.theme--documenter-dark .is-white.is-active.textarea {
+        box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+    html.theme--documenter-dark .is-black.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black, html.theme--documenter-dark .is-black.textarea {
+      border-color: #0a0a0a; }
+      html.theme--documenter-dark .is-black.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black:focus, html.theme--documenter-dark .is-black.textarea:focus, html.theme--documenter-dark .is-black.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black.is-focused, html.theme--documenter-dark .is-black.is-focused.textarea, html.theme--documenter-dark .is-black.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black:active, html.theme--documenter-dark .is-black.textarea:active, html.theme--documenter-dark .is-black.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black.is-active, html.theme--documenter-dark .is-black.is-active.textarea {
+        box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+    html.theme--documenter-dark .is-light.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light, html.theme--documenter-dark .is-light.textarea {
+      border-color: #ecf0f1; }
+      html.theme--documenter-dark .is-light.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light:focus, html.theme--documenter-dark .is-light.textarea:focus, html.theme--documenter-dark .is-light.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light.is-focused, html.theme--documenter-dark .is-light.is-focused.textarea, html.theme--documenter-dark .is-light.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light:active, html.theme--documenter-dark .is-light.textarea:active, html.theme--documenter-dark .is-light.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light.is-active, html.theme--documenter-dark .is-light.is-active.textarea {
+        box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); }
+    html.theme--documenter-dark .is-dark.input, html.theme--documenter-dark .content kbd.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark, html.theme--documenter-dark .is-dark.textarea, html.theme--documenter-dark .content kbd.textarea {
+      border-color: #282f2f; }
+      html.theme--documenter-dark .is-dark.input:focus, html.theme--documenter-dark .content kbd.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark:focus, html.theme--documenter-dark .is-dark.textarea:focus, html.theme--documenter-dark .content kbd.textarea:focus, html.theme--documenter-dark .is-dark.is-focused.input, html.theme--documenter-dark .content kbd.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark.is-focused, html.theme--documenter-dark .is-dark.is-focused.textarea, html.theme--documenter-dark .content kbd.is-focused.textarea, html.theme--documenter-dark .is-dark.input:active, html.theme--documenter-dark .content kbd.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark:active, html.theme--documenter-dark .is-dark.textarea:active, html.theme--documenter-dark .content kbd.textarea:active, html.theme--documenter-dark .is-dark.is-active.input, html.theme--documenter-dark .content kbd.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark.is-active, html.theme--documenter-dark .is-dark.is-active.textarea, html.theme--documenter-dark .content kbd.is-active.textarea {
+        box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); }
+    html.theme--documenter-dark .is-primary.input, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary, html.theme--documenter-dark .is-primary.textarea, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink {
+      border-color: #375a7f; }
+      html.theme--documenter-dark .is-primary.input:focus, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary:focus, html.theme--documenter-dark .is-primary.textarea:focus, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink:focus, html.theme--documenter-dark .is-primary.is-focused.input, html.theme--documenter-dark .docstring > section > a.is-focused.input.docs-sourcelink, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary.is-focused, html.theme--documenter-dark .is-primary.is-focused.textarea, html.theme--documenter-dark .docstring > section > a.is-focused.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.input:active, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary:active, html.theme--documenter-dark .is-primary.textarea:active, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink:active, html.theme--documenter-dark .is-primary.is-active.input, html.theme--documenter-dark .docstring > section > a.is-active.input.docs-sourcelink, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary.is-active, html.theme--documenter-dark .is-primary.is-active.textarea, html.theme--documenter-dark .docstring > section > a.is-active.textarea.docs-sourcelink {
+        box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); }
+    html.theme--documenter-dark .is-link.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link, html.theme--documenter-dark .is-link.textarea {
+      border-color: #1abc9c; }
+      html.theme--documenter-dark .is-link.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link:focus, html.theme--documenter-dark .is-link.textarea:focus, html.theme--documenter-dark .is-link.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link.is-focused, html.theme--documenter-dark .is-link.is-focused.textarea, html.theme--documenter-dark .is-link.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link:active, html.theme--documenter-dark .is-link.textarea:active, html.theme--documenter-dark .is-link.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link.is-active, html.theme--documenter-dark .is-link.is-active.textarea {
+        box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .is-info.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info, html.theme--documenter-dark .is-info.textarea {
+      border-color: #024c7d; }
+      html.theme--documenter-dark .is-info.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info:focus, html.theme--documenter-dark .is-info.textarea:focus, html.theme--documenter-dark .is-info.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info.is-focused, html.theme--documenter-dark .is-info.is-focused.textarea, html.theme--documenter-dark .is-info.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info:active, html.theme--documenter-dark .is-info.textarea:active, html.theme--documenter-dark .is-info.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info.is-active, html.theme--documenter-dark .is-info.is-active.textarea {
+        box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); }
+    html.theme--documenter-dark .is-success.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success, html.theme--documenter-dark .is-success.textarea {
+      border-color: #008438; }
+      html.theme--documenter-dark .is-success.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success:focus, html.theme--documenter-dark .is-success.textarea:focus, html.theme--documenter-dark .is-success.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success.is-focused, html.theme--documenter-dark .is-success.is-focused.textarea, html.theme--documenter-dark .is-success.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success:active, html.theme--documenter-dark .is-success.textarea:active, html.theme--documenter-dark .is-success.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success.is-active, html.theme--documenter-dark .is-success.is-active.textarea {
+        box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); }
+    html.theme--documenter-dark .is-warning.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning, html.theme--documenter-dark .is-warning.textarea {
+      border-color: #ad8100; }
+      html.theme--documenter-dark .is-warning.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning:focus, html.theme--documenter-dark .is-warning.textarea:focus, html.theme--documenter-dark .is-warning.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning.is-focused, html.theme--documenter-dark .is-warning.is-focused.textarea, html.theme--documenter-dark .is-warning.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning:active, html.theme--documenter-dark .is-warning.textarea:active, html.theme--documenter-dark .is-warning.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning.is-active, html.theme--documenter-dark .is-warning.is-active.textarea {
+        box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); }
+    html.theme--documenter-dark .is-danger.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger, html.theme--documenter-dark .is-danger.textarea {
+      border-color: #9e1b0d; }
+      html.theme--documenter-dark .is-danger.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger:focus, html.theme--documenter-dark .is-danger.textarea:focus, html.theme--documenter-dark .is-danger.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger.is-focused, html.theme--documenter-dark .is-danger.is-focused.textarea, html.theme--documenter-dark .is-danger.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger:active, html.theme--documenter-dark .is-danger.textarea:active, html.theme--documenter-dark .is-danger.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger.is-active, html.theme--documenter-dark .is-danger.is-active.textarea {
+        box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); }
+    html.theme--documenter-dark .is-small.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark .is-small.textarea {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .is-medium.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-medium, html.theme--documenter-dark .is-medium.textarea {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .is-large.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-large, html.theme--documenter-dark .is-large.textarea {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .is-fullwidth.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-fullwidth, html.theme--documenter-dark .is-fullwidth.textarea {
+      display: block;
+      width: 100%; }
+    html.theme--documenter-dark .is-inline.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-inline, html.theme--documenter-dark .is-inline.textarea {
+      display: inline;
+      width: auto; }
+  html.theme--documenter-dark .input.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+    border-radius: 290486px;
+    padding-left: 1em;
+    padding-right: 1em; }
+  html.theme--documenter-dark .input.is-static, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-static {
+    background-color: transparent;
+    border-color: transparent;
+    box-shadow: none;
+    padding-left: 0;
+    padding-right: 0; }
+  html.theme--documenter-dark .textarea {
+    display: block;
+    max-width: 100%;
+    min-width: 100%;
+    padding: 0.625em;
+    resize: vertical; }
+    html.theme--documenter-dark .textarea:not([rows]) {
+      max-height: 600px;
+      min-height: 120px; }
+    html.theme--documenter-dark .textarea[rows] {
+      height: initial; }
+    html.theme--documenter-dark .textarea.has-fixed-size {
+      resize: none; }
+  html.theme--documenter-dark .checkbox, html.theme--documenter-dark .radio {
+    cursor: pointer;
+    display: inline-block;
+    line-height: 1.25;
+    position: relative; }
+    html.theme--documenter-dark .checkbox input, html.theme--documenter-dark .radio input {
+      cursor: pointer; }
+    html.theme--documenter-dark .checkbox:hover, html.theme--documenter-dark .radio:hover {
+      color: #8c9b9d; }
+    html.theme--documenter-dark .checkbox[disabled], html.theme--documenter-dark .radio[disabled],
+    fieldset[disabled] html.theme--documenter-dark .checkbox,
+    fieldset[disabled] html.theme--documenter-dark .radio {
+      color: white;
+      cursor: not-allowed; }
+  html.theme--documenter-dark .radio + .radio {
+    margin-left: 0.5em; }
+  html.theme--documenter-dark .select {
+    display: inline-block;
+    max-width: 100%;
+    position: relative;
+    vertical-align: top; }
+    html.theme--documenter-dark .select:not(.is-multiple) {
+      height: 2.25em; }
+    html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after {
+      border-color: #1abc9c;
+      right: 1.125em;
+      z-index: 4; }
+    html.theme--documenter-dark .select.is-rounded select, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.select select {
+      border-radius: 290486px;
+      padding-left: 1em; }
+    html.theme--documenter-dark .select select {
+      cursor: pointer;
+      display: block;
+      font-size: 1em;
+      max-width: 100%;
+      outline: none; }
+      html.theme--documenter-dark .select select::-ms-expand {
+        display: none; }
+      html.theme--documenter-dark .select select[disabled]:hover,
+      fieldset[disabled] html.theme--documenter-dark .select select:hover {
+        border-color: #282f2f; }
+      html.theme--documenter-dark .select select:not([multiple]) {
+        padding-right: 2.5em; }
+      html.theme--documenter-dark .select select[multiple] {
+        height: auto;
+        padding: 0; }
+        html.theme--documenter-dark .select select[multiple] option {
+          padding: 0.5em 1em; }
+    html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading):hover::after {
+      border-color: #8c9b9d; }
+    html.theme--documenter-dark .select.is-white:not(:hover)::after {
+      border-color: white; }
+    html.theme--documenter-dark .select.is-white select {
+      border-color: white; }
+      html.theme--documenter-dark .select.is-white select:hover, html.theme--documenter-dark .select.is-white select.is-hovered {
+        border-color: #f2f2f2; }
+      html.theme--documenter-dark .select.is-white select:focus, html.theme--documenter-dark .select.is-white select.is-focused, html.theme--documenter-dark .select.is-white select:active, html.theme--documenter-dark .select.is-white select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+    html.theme--documenter-dark .select.is-black:not(:hover)::after {
+      border-color: #0a0a0a; }
+    html.theme--documenter-dark .select.is-black select {
+      border-color: #0a0a0a; }
+      html.theme--documenter-dark .select.is-black select:hover, html.theme--documenter-dark .select.is-black select.is-hovered {
+        border-color: black; }
+      html.theme--documenter-dark .select.is-black select:focus, html.theme--documenter-dark .select.is-black select.is-focused, html.theme--documenter-dark .select.is-black select:active, html.theme--documenter-dark .select.is-black select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+    html.theme--documenter-dark .select.is-light:not(:hover)::after {
+      border-color: #ecf0f1; }
+    html.theme--documenter-dark .select.is-light select {
+      border-color: #ecf0f1; }
+      html.theme--documenter-dark .select.is-light select:hover, html.theme--documenter-dark .select.is-light select.is-hovered {
+        border-color: #dde4e6; }
+      html.theme--documenter-dark .select.is-light select:focus, html.theme--documenter-dark .select.is-light select.is-focused, html.theme--documenter-dark .select.is-light select:active, html.theme--documenter-dark .select.is-light select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); }
+    html.theme--documenter-dark .select.is-dark:not(:hover)::after, html.theme--documenter-dark .content kbd.select:not(:hover)::after {
+      border-color: #282f2f; }
+    html.theme--documenter-dark .select.is-dark select, html.theme--documenter-dark .content kbd.select select {
+      border-color: #282f2f; }
+      html.theme--documenter-dark .select.is-dark select:hover, html.theme--documenter-dark .content kbd.select select:hover, html.theme--documenter-dark .select.is-dark select.is-hovered, html.theme--documenter-dark .content kbd.select select.is-hovered {
+        border-color: #1d2122; }
+      html.theme--documenter-dark .select.is-dark select:focus, html.theme--documenter-dark .content kbd.select select:focus, html.theme--documenter-dark .select.is-dark select.is-focused, html.theme--documenter-dark .content kbd.select select.is-focused, html.theme--documenter-dark .select.is-dark select:active, html.theme--documenter-dark .content kbd.select select:active, html.theme--documenter-dark .select.is-dark select.is-active, html.theme--documenter-dark .content kbd.select select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); }
+    html.theme--documenter-dark .select.is-primary:not(:hover)::after, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink:not(:hover)::after {
+      border-color: #375a7f; }
+    html.theme--documenter-dark .select.is-primary select, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select {
+      border-color: #375a7f; }
+      html.theme--documenter-dark .select.is-primary select:hover, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:hover, html.theme--documenter-dark .select.is-primary select.is-hovered, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-hovered {
+        border-color: #2f4d6d; }
+      html.theme--documenter-dark .select.is-primary select:focus, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:focus, html.theme--documenter-dark .select.is-primary select.is-focused, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-focused, html.theme--documenter-dark .select.is-primary select:active, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:active, html.theme--documenter-dark .select.is-primary select.is-active, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); }
+    html.theme--documenter-dark .select.is-link:not(:hover)::after {
+      border-color: #1abc9c; }
+    html.theme--documenter-dark .select.is-link select {
+      border-color: #1abc9c; }
+      html.theme--documenter-dark .select.is-link select:hover, html.theme--documenter-dark .select.is-link select.is-hovered {
+        border-color: #17a689; }
+      html.theme--documenter-dark .select.is-link select:focus, html.theme--documenter-dark .select.is-link select.is-focused, html.theme--documenter-dark .select.is-link select:active, html.theme--documenter-dark .select.is-link select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .select.is-info:not(:hover)::after {
+      border-color: #024c7d; }
+    html.theme--documenter-dark .select.is-info select {
+      border-color: #024c7d; }
+      html.theme--documenter-dark .select.is-info select:hover, html.theme--documenter-dark .select.is-info select.is-hovered {
+        border-color: #023d64; }
+      html.theme--documenter-dark .select.is-info select:focus, html.theme--documenter-dark .select.is-info select.is-focused, html.theme--documenter-dark .select.is-info select:active, html.theme--documenter-dark .select.is-info select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); }
+    html.theme--documenter-dark .select.is-success:not(:hover)::after {
+      border-color: #008438; }
+    html.theme--documenter-dark .select.is-success select {
+      border-color: #008438; }
+      html.theme--documenter-dark .select.is-success select:hover, html.theme--documenter-dark .select.is-success select.is-hovered {
+        border-color: #006b2d; }
+      html.theme--documenter-dark .select.is-success select:focus, html.theme--documenter-dark .select.is-success select.is-focused, html.theme--documenter-dark .select.is-success select:active, html.theme--documenter-dark .select.is-success select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); }
+    html.theme--documenter-dark .select.is-warning:not(:hover)::after {
+      border-color: #ad8100; }
+    html.theme--documenter-dark .select.is-warning select {
+      border-color: #ad8100; }
+      html.theme--documenter-dark .select.is-warning select:hover, html.theme--documenter-dark .select.is-warning select.is-hovered {
+        border-color: #946e00; }
+      html.theme--documenter-dark .select.is-warning select:focus, html.theme--documenter-dark .select.is-warning select.is-focused, html.theme--documenter-dark .select.is-warning select:active, html.theme--documenter-dark .select.is-warning select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); }
+    html.theme--documenter-dark .select.is-danger:not(:hover)::after {
+      border-color: #9e1b0d; }
+    html.theme--documenter-dark .select.is-danger select {
+      border-color: #9e1b0d; }
+      html.theme--documenter-dark .select.is-danger select:hover, html.theme--documenter-dark .select.is-danger select.is-hovered {
+        border-color: #86170b; }
+      html.theme--documenter-dark .select.is-danger select:focus, html.theme--documenter-dark .select.is-danger select.is-focused, html.theme--documenter-dark .select.is-danger select:active, html.theme--documenter-dark .select.is-danger select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); }
+    html.theme--documenter-dark .select.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.select {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .select.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .select.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .select.is-disabled::after {
+      border-color: white; }
+    html.theme--documenter-dark .select.is-fullwidth {
+      width: 100%; }
+      html.theme--documenter-dark .select.is-fullwidth select {
+        width: 100%; }
+    html.theme--documenter-dark .select.is-loading::after {
+      margin-top: 0;
+      position: absolute;
+      right: 0.625em;
+      top: 0.625em;
+      transform: none; }
+    html.theme--documenter-dark .select.is-loading.is-small:after, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.select.is-loading:after {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .select.is-loading.is-medium:after {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .select.is-loading.is-large:after {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .file {
+    align-items: stretch;
+    display: flex;
+    justify-content: flex-start;
+    position: relative; }
+    html.theme--documenter-dark .file.is-white .file-cta {
+      background-color: white;
+      border-color: transparent;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-white:hover .file-cta, html.theme--documenter-dark .file.is-white.is-hovered .file-cta {
+      background-color: #f9f9f9;
+      border-color: transparent;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-white:focus .file-cta, html.theme--documenter-dark .file.is-white.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(255, 255, 255, 0.25);
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-white:active .file-cta, html.theme--documenter-dark .file.is-white.is-active .file-cta {
+      background-color: #f2f2f2;
+      border-color: transparent;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-black .file-cta {
+      background-color: #0a0a0a;
+      border-color: transparent;
+      color: white; }
+    html.theme--documenter-dark .file.is-black:hover .file-cta, html.theme--documenter-dark .file.is-black.is-hovered .file-cta {
+      background-color: #040404;
+      border-color: transparent;
+      color: white; }
+    html.theme--documenter-dark .file.is-black:focus .file-cta, html.theme--documenter-dark .file.is-black.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(10, 10, 10, 0.25);
+      color: white; }
+    html.theme--documenter-dark .file.is-black:active .file-cta, html.theme--documenter-dark .file.is-black.is-active .file-cta {
+      background-color: black;
+      border-color: transparent;
+      color: white; }
+    html.theme--documenter-dark .file.is-light .file-cta {
+      background-color: #ecf0f1;
+      border-color: transparent;
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-light:hover .file-cta, html.theme--documenter-dark .file.is-light.is-hovered .file-cta {
+      background-color: #e5eaec;
+      border-color: transparent;
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-light:focus .file-cta, html.theme--documenter-dark .file.is-light.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(236, 240, 241, 0.25);
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-light:active .file-cta, html.theme--documenter-dark .file.is-light.is-active .file-cta {
+      background-color: #dde4e6;
+      border-color: transparent;
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-dark .file-cta, html.theme--documenter-dark .content kbd.file .file-cta {
+      background-color: #282f2f;
+      border-color: transparent;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-dark:hover .file-cta, html.theme--documenter-dark .content kbd.file:hover .file-cta, html.theme--documenter-dark .file.is-dark.is-hovered .file-cta, html.theme--documenter-dark .content kbd.file.is-hovered .file-cta {
+      background-color: #232829;
+      border-color: transparent;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-dark:focus .file-cta, html.theme--documenter-dark .content kbd.file:focus .file-cta, html.theme--documenter-dark .file.is-dark.is-focused .file-cta, html.theme--documenter-dark .content kbd.file.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(40, 47, 47, 0.25);
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-dark:active .file-cta, html.theme--documenter-dark .content kbd.file:active .file-cta, html.theme--documenter-dark .file.is-dark.is-active .file-cta, html.theme--documenter-dark .content kbd.file.is-active .file-cta {
+      background-color: #1d2122;
+      border-color: transparent;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-primary .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink .file-cta {
+      background-color: #375a7f;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-primary:hover .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:hover .file-cta, html.theme--documenter-dark .file.is-primary.is-hovered .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-hovered.docs-sourcelink .file-cta {
+      background-color: #335476;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-primary:focus .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:focus .file-cta, html.theme--documenter-dark .file.is-primary.is-focused .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-focused.docs-sourcelink .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(55, 90, 127, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-primary:active .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:active .file-cta, html.theme--documenter-dark .file.is-primary.is-active .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-active.docs-sourcelink .file-cta {
+      background-color: #2f4d6d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link .file-cta {
+      background-color: #1abc9c;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link:hover .file-cta, html.theme--documenter-dark .file.is-link.is-hovered .file-cta {
+      background-color: #18b193;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link:focus .file-cta, html.theme--documenter-dark .file.is-link.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(26, 188, 156, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link:active .file-cta, html.theme--documenter-dark .file.is-link.is-active .file-cta {
+      background-color: #17a689;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info .file-cta {
+      background-color: #024c7d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info:hover .file-cta, html.theme--documenter-dark .file.is-info.is-hovered .file-cta {
+      background-color: #024470;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info:focus .file-cta, html.theme--documenter-dark .file.is-info.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(2, 76, 125, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info:active .file-cta, html.theme--documenter-dark .file.is-info.is-active .file-cta {
+      background-color: #023d64;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success .file-cta {
+      background-color: #008438;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success:hover .file-cta, html.theme--documenter-dark .file.is-success.is-hovered .file-cta {
+      background-color: #007733;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success:focus .file-cta, html.theme--documenter-dark .file.is-success.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(0, 132, 56, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success:active .file-cta, html.theme--documenter-dark .file.is-success.is-active .file-cta {
+      background-color: #006b2d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning .file-cta {
+      background-color: #ad8100;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning:hover .file-cta, html.theme--documenter-dark .file.is-warning.is-hovered .file-cta {
+      background-color: #a07700;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning:focus .file-cta, html.theme--documenter-dark .file.is-warning.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(173, 129, 0, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning:active .file-cta, html.theme--documenter-dark .file.is-warning.is-active .file-cta {
+      background-color: #946e00;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger .file-cta {
+      background-color: #9e1b0d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger:hover .file-cta, html.theme--documenter-dark .file.is-danger.is-hovered .file-cta {
+      background-color: #92190c;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger:focus .file-cta, html.theme--documenter-dark .file.is-danger.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(158, 27, 13, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger:active .file-cta, html.theme--documenter-dark .file.is-danger.is-active .file-cta {
+      background-color: #86170b;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.file {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .file.is-medium {
+      font-size: 1.25rem; }
+      html.theme--documenter-dark .file.is-medium .file-icon .fa {
+        font-size: 21px; }
+    html.theme--documenter-dark .file.is-large {
+      font-size: 1.5rem; }
+      html.theme--documenter-dark .file.is-large .file-icon .fa {
+        font-size: 28px; }
+    html.theme--documenter-dark .file.has-name .file-cta {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0; }
+    html.theme--documenter-dark .file.has-name .file-name {
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    html.theme--documenter-dark .file.has-name.is-empty .file-cta {
+      border-radius: 0.4em; }
+    html.theme--documenter-dark .file.has-name.is-empty .file-name {
+      display: none; }
+    html.theme--documenter-dark .file.is-boxed .file-label {
+      flex-direction: column; }
+    html.theme--documenter-dark .file.is-boxed .file-cta {
+      flex-direction: column;
+      height: auto;
+      padding: 1em 3em; }
+    html.theme--documenter-dark .file.is-boxed .file-name {
+      border-width: 0 1px 1px; }
+    html.theme--documenter-dark .file.is-boxed .file-icon {
+      height: 1.5em;
+      width: 1.5em; }
+      html.theme--documenter-dark .file.is-boxed .file-icon .fa {
+        font-size: 21px; }
+    html.theme--documenter-dark .file.is-boxed.is-small .file-icon .fa, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.file.is-boxed .file-icon .fa {
+      font-size: 14px; }
+    html.theme--documenter-dark .file.is-boxed.is-medium .file-icon .fa {
+      font-size: 28px; }
+    html.theme--documenter-dark .file.is-boxed.is-large .file-icon .fa {
+      font-size: 35px; }
+    html.theme--documenter-dark .file.is-boxed.has-name .file-cta {
+      border-radius: 0.4em 0.4em 0 0; }
+    html.theme--documenter-dark .file.is-boxed.has-name .file-name {
+      border-radius: 0 0 0.4em 0.4em;
+      border-width: 0 1px 1px; }
+    html.theme--documenter-dark .file.is-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .file.is-fullwidth .file-label {
+      width: 100%; }
+    html.theme--documenter-dark .file.is-fullwidth .file-name {
+      flex-grow: 1;
+      max-width: none; }
+    html.theme--documenter-dark .file.is-right {
+      justify-content: flex-end; }
+      html.theme--documenter-dark .file.is-right .file-cta {
+        border-radius: 0 0.4em 0.4em 0; }
+      html.theme--documenter-dark .file.is-right .file-name {
+        border-radius: 0.4em 0 0 0.4em;
+        border-width: 1px 0 1px 1px;
+        order: -1; }
+  html.theme--documenter-dark .file-label {
+    align-items: stretch;
+    display: flex;
+    cursor: pointer;
+    justify-content: flex-start;
+    overflow: hidden;
+    position: relative; }
+    html.theme--documenter-dark .file-label:hover .file-cta {
+      background-color: #e5eaec;
+      color: #282f2f; }
+    html.theme--documenter-dark .file-label:hover .file-name {
+      border-color: #596668; }
+    html.theme--documenter-dark .file-label:active .file-cta {
+      background-color: #dde4e6;
+      color: #282f2f; }
+    html.theme--documenter-dark .file-label:active .file-name {
+      border-color: #535f61; }
+  html.theme--documenter-dark .file-input {
+    height: 100%;
+    left: 0;
+    opacity: 0;
+    outline: none;
+    position: absolute;
+    top: 0;
+    width: 100%; }
+  html.theme--documenter-dark .file-cta,
+  html.theme--documenter-dark .file-name {
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    font-size: 1em;
+    padding-left: 1em;
+    padding-right: 1em;
+    white-space: nowrap; }
+  html.theme--documenter-dark .file-cta {
+    background-color: #ecf0f1;
+    color: #343c3d; }
+  html.theme--documenter-dark .file-name {
+    border-color: #5e6d6f;
+    border-style: solid;
+    border-width: 1px 1px 1px 0;
+    display: block;
+    max-width: 16em;
+    overflow: hidden;
+    text-align: left;
+    text-overflow: ellipsis; }
+  html.theme--documenter-dark .file-icon {
+    align-items: center;
+    display: flex;
+    height: 1em;
+    justify-content: center;
+    margin-right: 0.5em;
+    width: 1em; }
+    html.theme--documenter-dark .file-icon .fa {
+      font-size: 14px; }
+  html.theme--documenter-dark .label {
+    color: #282f2f;
+    display: block;
+    font-size: 15px;
+    font-weight: 700; }
+    html.theme--documenter-dark .label:not(:last-child) {
+      margin-bottom: 0.5em; }
+    html.theme--documenter-dark .label.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.label {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .label.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .label.is-large {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .help {
+    display: block;
+    font-size: 0.85em;
+    margin-top: 0.25rem; }
+    html.theme--documenter-dark .help.is-white {
+      color: white; }
+    html.theme--documenter-dark .help.is-black {
+      color: #0a0a0a; }
+    html.theme--documenter-dark .help.is-light {
+      color: #ecf0f1; }
+    html.theme--documenter-dark .help.is-dark, html.theme--documenter-dark .content kbd.help {
+      color: #282f2f; }
+    html.theme--documenter-dark .help.is-primary, html.theme--documenter-dark .docstring > section > a.help.docs-sourcelink {
+      color: #375a7f; }
+    html.theme--documenter-dark .help.is-link {
+      color: #1abc9c; }
+    html.theme--documenter-dark .help.is-info {
+      color: #024c7d; }
+    html.theme--documenter-dark .help.is-success {
+      color: #008438; }
+    html.theme--documenter-dark .help.is-warning {
+      color: #ad8100; }
+    html.theme--documenter-dark .help.is-danger {
+      color: #9e1b0d; }
+  html.theme--documenter-dark .field:not(:last-child) {
+    margin-bottom: 0.75rem; }
+  html.theme--documenter-dark .field.has-addons {
+    display: flex;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .field.has-addons .control:not(:last-child) {
+      margin-right: -1px; }
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .button,
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .input,
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search > input,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search > input,
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .select select {
+      border-radius: 0; }
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .button,
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .input,
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search > input,
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .select select {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0; }
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .button,
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .input,
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search > input,
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .select select {
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):hover, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]).is-hovered,
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):hover,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):hover,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):hover,
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]).is-hovered,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-hovered,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-hovered,
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):hover,
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]).is-hovered {
+      z-index: 2; }
+    html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):focus, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]).is-focused, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):active, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]).is-active,
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):focus,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus,
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]).is-focused,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-focused,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-focused,
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):active,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active,
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]).is-active,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-active,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-active,
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):focus,
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]).is-focused,
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):active,
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]).is-active {
+      z-index: 3; }
+      html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):focus:hover, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]).is-focused:hover, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):active:hover, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]).is-active:hover,
+      html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):focus:hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus:hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus:hover,
+      html.theme--documenter-dark .field.has-addons .control .input:not([disabled]).is-focused:hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-focused:hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-focused:hover,
+      html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):active:hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active:hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active:hover,
+      html.theme--documenter-dark .field.has-addons .control .input:not([disabled]).is-active:hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-active:hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-active:hover,
+      html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):focus:hover,
+      html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]).is-focused:hover,
+      html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):active:hover,
+      html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]).is-active:hover {
+        z-index: 4; }
+    html.theme--documenter-dark .field.has-addons .control.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .field.has-addons.has-addons-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .field.has-addons.has-addons-right {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .field.has-addons.has-addons-fullwidth .control {
+      flex-grow: 1;
+      flex-shrink: 0; }
+  html.theme--documenter-dark .field.is-grouped {
+    display: flex;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .field.is-grouped > .control {
+      flex-shrink: 0; }
+      html.theme--documenter-dark .field.is-grouped > .control:not(:last-child) {
+        margin-bottom: 0;
+        margin-right: 0.75rem; }
+      html.theme--documenter-dark .field.is-grouped > .control.is-expanded {
+        flex-grow: 1;
+        flex-shrink: 1; }
+    html.theme--documenter-dark .field.is-grouped.is-grouped-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .field.is-grouped.is-grouped-right {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .field.is-grouped.is-grouped-multiline {
+      flex-wrap: wrap; }
+      html.theme--documenter-dark .field.is-grouped.is-grouped-multiline > .control:last-child, html.theme--documenter-dark .field.is-grouped.is-grouped-multiline > .control:not(:last-child) {
+        margin-bottom: 0.75rem; }
+      html.theme--documenter-dark .field.is-grouped.is-grouped-multiline:last-child {
+        margin-bottom: -0.75rem; }
+      html.theme--documenter-dark .field.is-grouped.is-grouped-multiline:not(:last-child) {
+        margin-bottom: 0; }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .field.is-horizontal {
+      display: flex; } }
+  html.theme--documenter-dark .field-label .label {
+    font-size: inherit; }
+  @media screen and (max-width: 768px) {
+    html.theme--documenter-dark .field-label {
+      margin-bottom: 0.5rem; } }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .field-label {
+      flex-basis: 0;
+      flex-grow: 1;
+      flex-shrink: 0;
+      margin-right: 1.5rem;
+      text-align: right; }
+      html.theme--documenter-dark .field-label.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.field-label {
+        font-size: 0.85em;
+        padding-top: 0.375em; }
+      html.theme--documenter-dark .field-label.is-normal {
+        padding-top: 0.375em; }
+      html.theme--documenter-dark .field-label.is-medium {
+        font-size: 1.25rem;
+        padding-top: 0.375em; }
+      html.theme--documenter-dark .field-label.is-large {
+        font-size: 1.5rem;
+        padding-top: 0.375em; } }
+  html.theme--documenter-dark .field-body .field .field {
+    margin-bottom: 0; }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .field-body {
+      display: flex;
+      flex-basis: 0;
+      flex-grow: 5;
+      flex-shrink: 1; }
+      html.theme--documenter-dark .field-body .field {
+        margin-bottom: 0; }
+      html.theme--documenter-dark .field-body > .field {
+        flex-shrink: 1; }
+        html.theme--documenter-dark .field-body > .field:not(.is-narrow) {
+          flex-grow: 1; }
+        html.theme--documenter-dark .field-body > .field:not(:last-child) {
+          margin-right: 0.75rem; } }
+  html.theme--documenter-dark .control {
+    box-sizing: border-box;
+    clear: both;
+    font-size: 15px;
+    position: relative;
+    text-align: left; }
+    html.theme--documenter-dark .control.has-icons-left .input:focus ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input:focus ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select:focus ~ .icon, html.theme--documenter-dark .control.has-icons-right .input:focus ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input:focus ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select:focus ~ .icon {
+      color: #5e6d6f; }
+    html.theme--documenter-dark .control.has-icons-left .input.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select.is-small ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.select ~ .icon,
+    html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.select ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select.is-small ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.select ~ .icon,
+    html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.select ~ .icon {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .control.has-icons-left .input.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-medium ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-medium ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select.is-medium ~ .icon {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .control.has-icons-left .input.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-large ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-large ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select.is-large ~ .icon {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .control.has-icons-left .icon, html.theme--documenter-dark .control.has-icons-right .icon {
+      color: #dbdee0;
+      height: 2.25em;
+      pointer-events: none;
+      position: absolute;
+      top: 0;
+      width: 2.25em;
+      z-index: 4; }
+    html.theme--documenter-dark .control.has-icons-left .input, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input,
+    html.theme--documenter-dark .control.has-icons-left .select select {
+      padding-left: 2.25em; }
+    html.theme--documenter-dark .control.has-icons-left .icon.is-left {
+      left: 0; }
+    html.theme--documenter-dark .control.has-icons-right .input, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input,
+    html.theme--documenter-dark .control.has-icons-right .select select {
+      padding-right: 2.25em; }
+    html.theme--documenter-dark .control.has-icons-right .icon.is-right {
+      right: 0; }
+    html.theme--documenter-dark .control.is-loading::after {
+      position: absolute !important;
+      right: 0.625em;
+      top: 0.625em;
+      z-index: 4; }
+    html.theme--documenter-dark .control.is-loading.is-small:after, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.control.is-loading:after {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .control.is-loading.is-medium:after {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .control.is-loading.is-large:after {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .breadcrumb {
+    font-size: 15px;
+    white-space: nowrap; }
+    html.theme--documenter-dark .breadcrumb a {
+      align-items: center;
+      color: #1abc9c;
+      display: flex;
+      justify-content: center;
+      padding: 0 0.75em; }
+      html.theme--documenter-dark .breadcrumb a:hover {
+        color: #1dd2af; }
+    html.theme--documenter-dark .breadcrumb li {
+      align-items: center;
+      display: flex; }
+      html.theme--documenter-dark .breadcrumb li:first-child a {
+        padding-left: 0; }
+      html.theme--documenter-dark .breadcrumb li.is-active a {
+        color: #f2f2f2;
+        cursor: default;
+        pointer-events: none; }
+      html.theme--documenter-dark .breadcrumb li + li::before {
+        color: #8c9b9d;
+        content: "\0002f"; }
+    html.theme--documenter-dark .breadcrumb ul,
+    html.theme--documenter-dark .breadcrumb ol {
+      align-items: flex-start;
+      display: flex;
+      flex-wrap: wrap;
+      justify-content: flex-start; }
+    html.theme--documenter-dark .breadcrumb .icon:first-child {
+      margin-right: 0.5em; }
+    html.theme--documenter-dark .breadcrumb .icon:last-child {
+      margin-left: 0.5em; }
+    html.theme--documenter-dark .breadcrumb.is-centered ol,
+    html.theme--documenter-dark .breadcrumb.is-centered ul {
+      justify-content: center; }
+    html.theme--documenter-dark .breadcrumb.is-right ol,
+    html.theme--documenter-dark .breadcrumb.is-right ul {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .breadcrumb.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.breadcrumb {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .breadcrumb.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .breadcrumb.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .breadcrumb.has-arrow-separator li + li::before {
+      content: "\02192"; }
+    html.theme--documenter-dark .breadcrumb.has-bullet-separator li + li::before {
+      content: "\02022"; }
+    html.theme--documenter-dark .breadcrumb.has-dot-separator li + li::before {
+      content: "\000b7"; }
+    html.theme--documenter-dark .breadcrumb.has-succeeds-separator li + li::before {
+      content: "\0227B"; }
+  html.theme--documenter-dark .card {
+    background-color: white;
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+    color: #fff;
+    max-width: 100%;
+    position: relative; }
+  html.theme--documenter-dark .card-header {
+    background-color: transparent;
+    align-items: stretch;
+    box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+    display: flex; }
+  html.theme--documenter-dark .card-header-title {
+    align-items: center;
+    color: #f2f2f2;
+    display: flex;
+    flex-grow: 1;
+    font-weight: 700;
+    padding: 0.75rem; }
+    html.theme--documenter-dark .card-header-title.is-centered {
+      justify-content: center; }
+  html.theme--documenter-dark .card-header-icon {
+    align-items: center;
+    cursor: pointer;
+    display: flex;
+    justify-content: center;
+    padding: 0.75rem; }
+  html.theme--documenter-dark .card-image {
+    display: block;
+    position: relative; }
+  html.theme--documenter-dark .card-content {
+    background-color: transparent;
+    padding: 1rem 1.25rem; }
+  html.theme--documenter-dark .card-footer {
+    background-color: transparent;
+    border-top: 1px solid #5e6d6f;
+    align-items: stretch;
+    display: flex; }
+  html.theme--documenter-dark .card-footer-item {
+    align-items: center;
+    display: flex;
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 0;
+    justify-content: center;
+    padding: 0.75rem; }
+    html.theme--documenter-dark .card-footer-item:not(:last-child) {
+      border-right: 1px solid #5e6d6f; }
+  html.theme--documenter-dark .card .media:not(:last-child) {
+    margin-bottom: 1.5rem; }
+  html.theme--documenter-dark .dropdown {
+    display: inline-flex;
+    position: relative;
+    vertical-align: top; }
+    html.theme--documenter-dark .dropdown.is-active .dropdown-menu, html.theme--documenter-dark .dropdown.is-hoverable:hover .dropdown-menu {
+      display: block; }
+    html.theme--documenter-dark .dropdown.is-right .dropdown-menu {
+      left: auto;
+      right: 0; }
+    html.theme--documenter-dark .dropdown.is-up .dropdown-menu {
+      bottom: 100%;
+      padding-bottom: 4px;
+      padding-top: initial;
+      top: auto; }
+  html.theme--documenter-dark .dropdown-menu {
+    display: none;
+    left: 0;
+    min-width: 12rem;
+    padding-top: 4px;
+    position: absolute;
+    top: 100%;
+    z-index: 20; }
+  html.theme--documenter-dark .dropdown-content {
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+    padding-bottom: 0.5rem;
+    padding-top: 0.5rem; }
+  html.theme--documenter-dark .dropdown-item {
+    color: #fff;
+    display: block;
+    font-size: 0.875rem;
+    line-height: 1.5;
+    padding: 0.375rem 1rem;
+    position: relative; }
+  html.theme--documenter-dark a.dropdown-item,
+  html.theme--documenter-dark button.dropdown-item {
+    padding-right: 3rem;
+    text-align: left;
+    white-space: nowrap;
+    width: 100%; }
+    html.theme--documenter-dark a.dropdown-item:hover,
+    html.theme--documenter-dark button.dropdown-item:hover {
+      background-color: #282f2f;
+      color: #0a0a0a; }
+    html.theme--documenter-dark a.dropdown-item.is-active,
+    html.theme--documenter-dark button.dropdown-item.is-active {
+      background-color: #1abc9c;
+      color: #fff; }
+  html.theme--documenter-dark .dropdown-divider {
+    background-color: #5e6d6f;
+    border: none;
+    display: block;
+    height: 1px;
+    margin: 0.5rem 0; }
+  html.theme--documenter-dark .level {
+    align-items: center;
+    justify-content: space-between; }
+    html.theme--documenter-dark .level code {
+      border-radius: 0.4em; }
+    html.theme--documenter-dark .level img {
+      display: inline-block;
+      vertical-align: top; }
+    html.theme--documenter-dark .level.is-mobile {
+      display: flex; }
+      html.theme--documenter-dark .level.is-mobile .level-left,
+      html.theme--documenter-dark .level.is-mobile .level-right {
+        display: flex; }
+      html.theme--documenter-dark .level.is-mobile .level-left + .level-right {
+        margin-top: 0; }
+      html.theme--documenter-dark .level.is-mobile .level-item:not(:last-child) {
+        margin-bottom: 0;
+        margin-right: 0.75rem; }
+      html.theme--documenter-dark .level.is-mobile .level-item:not(.is-narrow) {
+        flex-grow: 1; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level {
+        display: flex; }
+        html.theme--documenter-dark .level > .level-item:not(.is-narrow) {
+          flex-grow: 1; } }
+  html.theme--documenter-dark .level-item {
+    align-items: center;
+    display: flex;
+    flex-basis: auto;
+    flex-grow: 0;
+    flex-shrink: 0;
+    justify-content: center; }
+    html.theme--documenter-dark .level-item .title,
+    html.theme--documenter-dark .level-item .subtitle {
+      margin-bottom: 0; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .level-item:not(:last-child) {
+        margin-bottom: 0.75rem; } }
+  html.theme--documenter-dark .level-left,
+  html.theme--documenter-dark .level-right {
+    flex-basis: auto;
+    flex-grow: 0;
+    flex-shrink: 0; }
+    html.theme--documenter-dark .level-left .level-item.is-flexible,
+    html.theme--documenter-dark .level-right .level-item.is-flexible {
+      flex-grow: 1; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level-left .level-item:not(:last-child),
+      html.theme--documenter-dark .level-right .level-item:not(:last-child) {
+        margin-right: 0.75rem; } }
+  html.theme--documenter-dark .level-left {
+    align-items: center;
+    justify-content: flex-start; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .level-left + .level-right {
+        margin-top: 1.5rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level-left {
+        display: flex; } }
+  html.theme--documenter-dark .level-right {
+    align-items: center;
+    justify-content: flex-end; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level-right {
+        display: flex; } }
+  html.theme--documenter-dark .list {
+    background-color: white;
+    border-radius: 0.4em;
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); }
+  html.theme--documenter-dark .list-item {
+    display: block;
+    padding: 0.5em 1em; }
+    html.theme--documenter-dark .list-item:not(a) {
+      color: #fff; }
+    html.theme--documenter-dark .list-item:first-child {
+      border-top-left-radius: 0.4em;
+      border-top-right-radius: 0.4em; }
+    html.theme--documenter-dark .list-item:last-child {
+      border-bottom-left-radius: 0.4em;
+      border-bottom-right-radius: 0.4em; }
+    html.theme--documenter-dark .list-item:not(:last-child) {
+      border-bottom: 1px solid #5e6d6f; }
+    html.theme--documenter-dark .list-item.is-active {
+      background-color: #1abc9c;
+      color: #fff; }
+  html.theme--documenter-dark a.list-item {
+    background-color: #282f2f;
+    cursor: pointer; }
+  html.theme--documenter-dark .media {
+    align-items: flex-start;
+    display: flex;
+    text-align: left; }
+    html.theme--documenter-dark .media .content:not(:last-child) {
+      margin-bottom: 0.75rem; }
+    html.theme--documenter-dark .media .media {
+      border-top: 1px solid rgba(94, 109, 111, 0.5);
+      display: flex;
+      padding-top: 0.75rem; }
+      html.theme--documenter-dark .media .media .content:not(:last-child),
+      html.theme--documenter-dark .media .media .control:not(:last-child) {
+        margin-bottom: 0.5rem; }
+      html.theme--documenter-dark .media .media .media {
+        padding-top: 0.5rem; }
+        html.theme--documenter-dark .media .media .media + .media {
+          margin-top: 0.5rem; }
+    html.theme--documenter-dark .media + .media {
+      border-top: 1px solid rgba(94, 109, 111, 0.5);
+      margin-top: 1rem;
+      padding-top: 1rem; }
+    html.theme--documenter-dark .media.is-large + .media {
+      margin-top: 1.5rem;
+      padding-top: 1.5rem; }
+  html.theme--documenter-dark .media-left,
+  html.theme--documenter-dark .media-right {
+    flex-basis: auto;
+    flex-grow: 0;
+    flex-shrink: 0; }
+  html.theme--documenter-dark .media-left {
+    margin-right: 1rem; }
+  html.theme--documenter-dark .media-right {
+    margin-left: 1rem; }
+  html.theme--documenter-dark .media-content {
+    flex-basis: auto;
+    flex-grow: 1;
+    flex-shrink: 1;
+    text-align: left; }
+  @media screen and (max-width: 768px) {
+    html.theme--documenter-dark .media-content {
+      overflow-x: auto; } }
+  html.theme--documenter-dark .menu {
+    font-size: 15px; }
+    html.theme--documenter-dark .menu.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.menu {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .menu.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .menu.is-large {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .menu-list {
+    line-height: 1.25; }
+    html.theme--documenter-dark .menu-list a {
+      border-radius: 3px;
+      color: #fff;
+      display: block;
+      padding: 0.5em 0.75em; }
+      html.theme--documenter-dark .menu-list a:hover {
+        background-color: #282f2f;
+        color: #f2f2f2; }
+      html.theme--documenter-dark .menu-list a.is-active {
+        background-color: #1abc9c;
+        color: #fff; }
+    html.theme--documenter-dark .menu-list li ul {
+      border-left: 1px solid #5e6d6f;
+      margin: 0.75em;
+      padding-left: 0.75em; }
+  html.theme--documenter-dark .menu-label {
+    color: white;
+    font-size: 0.75em;
+    letter-spacing: 0.1em;
+    text-transform: uppercase; }
+    html.theme--documenter-dark .menu-label:not(:first-child) {
+      margin-top: 1em; }
+    html.theme--documenter-dark .menu-label:not(:last-child) {
+      margin-bottom: 1em; }
+  html.theme--documenter-dark .message {
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    font-size: 15px; }
+    html.theme--documenter-dark .message strong {
+      color: currentColor; }
+    html.theme--documenter-dark .message a:not(.button):not(.tag):not(.dropdown-item) {
+      color: currentColor;
+      text-decoration: underline; }
+    html.theme--documenter-dark .message.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.message {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .message.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .message.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .message.is-white {
+      background-color: white; }
+      html.theme--documenter-dark .message.is-white .message-header {
+        background-color: white;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .message.is-white .message-body {
+        border-color: white;
+        color: #4d4d4d; }
+    html.theme--documenter-dark .message.is-black {
+      background-color: #fafafa; }
+      html.theme--documenter-dark .message.is-black .message-header {
+        background-color: #0a0a0a;
+        color: white; }
+      html.theme--documenter-dark .message.is-black .message-body {
+        border-color: #0a0a0a;
+        color: #090909; }
+    html.theme--documenter-dark .message.is-light {
+      background-color: #f9fafb; }
+      html.theme--documenter-dark .message.is-light .message-header {
+        background-color: #ecf0f1;
+        color: #282f2f; }
+      html.theme--documenter-dark .message.is-light .message-body {
+        border-color: #ecf0f1;
+        color: #505050; }
+    html.theme--documenter-dark .message.is-dark, html.theme--documenter-dark .content kbd.message {
+      background-color: #f9fafa; }
+      html.theme--documenter-dark .message.is-dark .message-header, html.theme--documenter-dark .content kbd.message .message-header {
+        background-color: #282f2f;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .message.is-dark .message-body, html.theme--documenter-dark .content kbd.message .message-body {
+        border-color: #282f2f;
+        color: #212526; }
+    html.theme--documenter-dark .message.is-primary, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink {
+      background-color: #f8fafc; }
+      html.theme--documenter-dark .message.is-primary .message-header, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink .message-header {
+        background-color: #375a7f;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-primary .message-body, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink .message-body {
+        border-color: #375a7f;
+        color: #2b4159; }
+    html.theme--documenter-dark .message.is-link {
+      background-color: #f6fefc; }
+      html.theme--documenter-dark .message.is-link .message-header {
+        background-color: #1abc9c;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-link .message-body {
+        border-color: #1abc9c;
+        color: #0b2f28; }
+    html.theme--documenter-dark .message.is-info {
+      background-color: #f5fbff; }
+      html.theme--documenter-dark .message.is-info .message-header {
+        background-color: #024c7d;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-info .message-body {
+        border-color: #024c7d;
+        color: #033659; }
+    html.theme--documenter-dark .message.is-success {
+      background-color: #f5fff9; }
+      html.theme--documenter-dark .message.is-success .message-header {
+        background-color: #008438;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-success .message-body {
+        border-color: #008438;
+        color: #023518; }
+    html.theme--documenter-dark .message.is-warning {
+      background-color: #fffcf5; }
+      html.theme--documenter-dark .message.is-warning .message-header {
+        background-color: #ad8100;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-warning .message-body {
+        border-color: #ad8100;
+        color: #3d2e03; }
+    html.theme--documenter-dark .message.is-danger {
+      background-color: #fef6f6; }
+      html.theme--documenter-dark .message.is-danger .message-header {
+        background-color: #9e1b0d;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-danger .message-body {
+        border-color: #9e1b0d;
+        color: #7a170c; }
+  html.theme--documenter-dark .message-header {
+    align-items: center;
+    background-color: #fff;
+    border-radius: 0.4em 0.4em 0 0;
+    color: rgba(0, 0, 0, 0.7);
+    display: flex;
+    font-weight: 700;
+    justify-content: space-between;
+    line-height: 1.25;
+    padding: 0.75em;
+    position: relative; }
+    html.theme--documenter-dark .message-header .delete {
+      flex-grow: 0;
+      flex-shrink: 0;
+      margin-left: 0.75em; }
+    html.theme--documenter-dark .message-header + .message-body {
+      border-width: 0;
+      border-top-left-radius: 0;
+      border-top-right-radius: 0; }
+  html.theme--documenter-dark .message-body {
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    border-style: solid;
+    border-width: 0 0 0 4px;
+    color: #fff;
+    padding: 1em 1.25em; }
+    html.theme--documenter-dark .message-body code,
+    html.theme--documenter-dark .message-body pre {
+      background-color: white; }
+    html.theme--documenter-dark .message-body pre code {
+      background-color: transparent; }
+  html.theme--documenter-dark .modal {
+    align-items: center;
+    display: none;
+    flex-direction: column;
+    justify-content: center;
+    overflow: hidden;
+    position: fixed;
+    z-index: 40; }
+    html.theme--documenter-dark .modal.is-active {
+      display: flex; }
+  html.theme--documenter-dark .modal-background {
+    background-color: rgba(10, 10, 10, 0.86); }
+  html.theme--documenter-dark .modal-content,
+  html.theme--documenter-dark .modal-card {
+    margin: 0 20px;
+    max-height: calc(100vh - 160px);
+    overflow: auto;
+    position: relative;
+    width: 100%; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .modal-content,
+      html.theme--documenter-dark .modal-card {
+        margin: 0 auto;
+        max-height: calc(100vh - 40px);
+        width: 640px; } }
+  html.theme--documenter-dark .modal-close {
+    background: none;
+    height: 40px;
+    position: fixed;
+    right: 20px;
+    top: 20px;
+    width: 40px; }
+  html.theme--documenter-dark .modal-card {
+    display: flex;
+    flex-direction: column;
+    max-height: calc(100vh - 40px);
+    overflow: hidden;
+    -ms-overflow-y: visible; }
+  html.theme--documenter-dark .modal-card-head,
+  html.theme--documenter-dark .modal-card-foot {
+    align-items: center;
+    background-color: #282f2f;
+    display: flex;
+    flex-shrink: 0;
+    justify-content: flex-start;
+    padding: 20px;
+    position: relative; }
+  html.theme--documenter-dark .modal-card-head {
+    border-bottom: 1px solid #5e6d6f;
+    border-top-left-radius: 8px;
+    border-top-right-radius: 8px; }
+  html.theme--documenter-dark .modal-card-title {
+    color: #f2f2f2;
+    flex-grow: 1;
+    flex-shrink: 0;
+    font-size: 1.5rem;
+    line-height: 1; }
+  html.theme--documenter-dark .modal-card-foot {
+    border-bottom-left-radius: 8px;
+    border-bottom-right-radius: 8px;
+    border-top: 1px solid #5e6d6f; }
+    html.theme--documenter-dark .modal-card-foot .button:not(:last-child) {
+      margin-right: 0.5em; }
+  html.theme--documenter-dark .modal-card-body {
+    -webkit-overflow-scrolling: touch;
+    background-color: white;
+    flex-grow: 1;
+    flex-shrink: 1;
+    overflow: auto;
+    padding: 20px; }
+  html.theme--documenter-dark .navbar {
+    background-color: #375a7f;
+    min-height: 4rem;
+    position: relative;
+    z-index: 30; }
+    html.theme--documenter-dark .navbar.is-white {
+      background-color: white;
+      color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link {
+        color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link.is-active {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link::after {
+        border-color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-burger {
+        color: #0a0a0a; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-white .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link {
+          color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link.is-active {
+          background-color: #f2f2f2;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link::after {
+          border-color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #f2f2f2;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-dropdown a.navbar-item.is-active {
+          background-color: white;
+          color: #0a0a0a; } }
+    html.theme--documenter-dark .navbar.is-black {
+      background-color: #0a0a0a;
+      color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link {
+        color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link.is-active {
+        background-color: black;
+        color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link::after {
+        border-color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-burger {
+        color: white; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-black .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link {
+          color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link.is-active {
+          background-color: black;
+          color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link::after {
+          border-color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: black;
+          color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-dropdown a.navbar-item.is-active {
+          background-color: #0a0a0a;
+          color: white; } }
+    html.theme--documenter-dark .navbar.is-light {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link {
+        color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link.is-active {
+        background-color: #dde4e6;
+        color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link::after {
+        border-color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-burger {
+        color: #282f2f; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-light .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link {
+          color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link.is-active {
+          background-color: #dde4e6;
+          color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link::after {
+          border-color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #dde4e6;
+          color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-dropdown a.navbar-item.is-active {
+          background-color: #ecf0f1;
+          color: #282f2f; } }
+    html.theme--documenter-dark .navbar.is-dark, html.theme--documenter-dark .content kbd.navbar {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand > .navbar-item, html.theme--documenter-dark .content kbd.navbar .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link {
+        color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link.is-active,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link.is-active {
+        background-color: #1d2122;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link::after, html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link::after {
+        border-color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-burger, html.theme--documenter-dark .content kbd.navbar .navbar-burger {
+        color: #ecf0f1; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-dark .navbar-start > .navbar-item, html.theme--documenter-dark .content kbd.navbar .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > .navbar-item,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link {
+          color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link.is-active,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link.is-active {
+          background-color: #1d2122;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link::after, html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link::after,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link::after {
+          border-color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown.is-active .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #1d2122;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-dropdown a.navbar-item.is-active {
+          background-color: #282f2f;
+          color: #ecf0f1; } }
+    html.theme--documenter-dark .navbar.is-primary, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink {
+      background-color: #375a7f;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand > .navbar-item, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link.is-active,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link.is-active {
+        background-color: #2f4d6d;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link::after, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-burger, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-primary .navbar-start > .navbar-item, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > .navbar-item,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link.is-active,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link.is-active {
+          background-color: #2f4d6d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link::after, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link::after,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown.is-active .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #2f4d6d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active {
+          background-color: #375a7f;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-link {
+      background-color: #1abc9c;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link.is-active {
+        background-color: #17a689;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-link .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link.is-active {
+          background-color: #17a689;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #17a689;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-dropdown a.navbar-item.is-active {
+          background-color: #1abc9c;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-info {
+      background-color: #024c7d;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link.is-active {
+        background-color: #023d64;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-info .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link.is-active {
+          background-color: #023d64;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #023d64;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-dropdown a.navbar-item.is-active {
+          background-color: #024c7d;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-success {
+      background-color: #008438;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link.is-active {
+        background-color: #006b2d;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-success .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link.is-active {
+          background-color: #006b2d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #006b2d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-dropdown a.navbar-item.is-active {
+          background-color: #008438;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-warning {
+      background-color: #ad8100;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link.is-active {
+        background-color: #946e00;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-warning .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link.is-active {
+          background-color: #946e00;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #946e00;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-dropdown a.navbar-item.is-active {
+          background-color: #ad8100;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-danger {
+      background-color: #9e1b0d;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link.is-active {
+        background-color: #86170b;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-danger .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link.is-active {
+          background-color: #86170b;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #86170b;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-dropdown a.navbar-item.is-active {
+          background-color: #9e1b0d;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar > .container {
+      align-items: stretch;
+      display: flex;
+      min-height: 4rem;
+      width: 100%; }
+    html.theme--documenter-dark .navbar.has-shadow {
+      box-shadow: 0 2px 0 0 #282f2f; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom, html.theme--documenter-dark .navbar.is-fixed-top {
+      left: 0;
+      position: fixed;
+      right: 0;
+      z-index: 30; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom {
+      bottom: 0; }
+      html.theme--documenter-dark .navbar.is-fixed-bottom.has-shadow {
+        box-shadow: 0 -2px 0 0 #282f2f; }
+    html.theme--documenter-dark .navbar.is-fixed-top {
+      top: 0; }
+  html.theme--documenter-dark html.has-navbar-fixed-top,
+  html.theme--documenter-dark body.has-navbar-fixed-top {
+    padding-top: 4rem; }
+  html.theme--documenter-dark html.has-navbar-fixed-bottom,
+  html.theme--documenter-dark body.has-navbar-fixed-bottom {
+    padding-bottom: 4rem; }
+  html.theme--documenter-dark .navbar-brand,
+  html.theme--documenter-dark .navbar-tabs {
+    align-items: stretch;
+    display: flex;
+    flex-shrink: 0;
+    min-height: 4rem; }
+  html.theme--documenter-dark .navbar-brand a.navbar-item:focus, html.theme--documenter-dark .navbar-brand a.navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .navbar-tabs {
+    -webkit-overflow-scrolling: touch;
+    max-width: 100vw;
+    overflow-x: auto;
+    overflow-y: hidden; }
+  html.theme--documenter-dark .navbar-burger {
+    color: #fff;
+    cursor: pointer;
+    display: block;
+    height: 4rem;
+    position: relative;
+    width: 4rem;
+    margin-left: auto; }
+    html.theme--documenter-dark .navbar-burger span {
+      background-color: currentColor;
+      display: block;
+      height: 1px;
+      left: calc(50% - 8px);
+      position: absolute;
+      transform-origin: center;
+      transition-duration: 86ms;
+      transition-property: background-color, opacity, transform;
+      transition-timing-function: ease-out;
+      width: 16px; }
+      html.theme--documenter-dark .navbar-burger span:nth-child(1) {
+        top: calc(50% - 6px); }
+      html.theme--documenter-dark .navbar-burger span:nth-child(2) {
+        top: calc(50% - 1px); }
+      html.theme--documenter-dark .navbar-burger span:nth-child(3) {
+        top: calc(50% + 4px); }
+    html.theme--documenter-dark .navbar-burger:hover {
+      background-color: rgba(0, 0, 0, 0.05); }
+    html.theme--documenter-dark .navbar-burger.is-active span:nth-child(1) {
+      transform: translateY(5px) rotate(45deg); }
+    html.theme--documenter-dark .navbar-burger.is-active span:nth-child(2) {
+      opacity: 0; }
+    html.theme--documenter-dark .navbar-burger.is-active span:nth-child(3) {
+      transform: translateY(-5px) rotate(-45deg); }
+  html.theme--documenter-dark .navbar-menu {
+    display: none; }
+  html.theme--documenter-dark .navbar-item,
+  html.theme--documenter-dark .navbar-link {
+    color: #fff;
+    display: block;
+    line-height: 1.5;
+    padding: 0.5rem 0.75rem;
+    position: relative; }
+    html.theme--documenter-dark .navbar-item .icon:only-child,
+    html.theme--documenter-dark .navbar-link .icon:only-child {
+      margin-left: -0.25rem;
+      margin-right: -0.25rem; }
+  html.theme--documenter-dark a.navbar-item,
+  html.theme--documenter-dark .navbar-link {
+    cursor: pointer; }
+    html.theme--documenter-dark a.navbar-item:focus, html.theme--documenter-dark a.navbar-item:focus-within, html.theme--documenter-dark a.navbar-item:hover, html.theme--documenter-dark a.navbar-item.is-active,
+    html.theme--documenter-dark .navbar-link:focus,
+    html.theme--documenter-dark .navbar-link:focus-within,
+    html.theme--documenter-dark .navbar-link:hover,
+    html.theme--documenter-dark .navbar-link.is-active {
+      background-color: transparent;
+      color: #1abc9c; }
+  html.theme--documenter-dark .navbar-item {
+    display: block;
+    flex-grow: 0;
+    flex-shrink: 0; }
+    html.theme--documenter-dark .navbar-item img {
+      max-height: 1.75rem; }
+    html.theme--documenter-dark .navbar-item.has-dropdown {
+      padding: 0; }
+    html.theme--documenter-dark .navbar-item.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .navbar-item.is-tab {
+      border-bottom: 1px solid transparent;
+      min-height: 4rem;
+      padding-bottom: calc(0.5rem - 1px); }
+      html.theme--documenter-dark .navbar-item.is-tab:focus, html.theme--documenter-dark .navbar-item.is-tab:hover {
+        background-color: transparent;
+        border-bottom-color: #1abc9c; }
+      html.theme--documenter-dark .navbar-item.is-tab.is-active {
+        background-color: transparent;
+        border-bottom-color: #1abc9c;
+        border-bottom-style: solid;
+        border-bottom-width: 3px;
+        color: #1abc9c;
+        padding-bottom: calc(0.5rem - 3px); }
+  html.theme--documenter-dark .navbar-content {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  html.theme--documenter-dark .navbar-link:not(.is-arrowless) {
+    padding-right: 2.5em; }
+    html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after {
+      border-color: #fff;
+      margin-top: -0.375em;
+      right: 1.125em; }
+  html.theme--documenter-dark .navbar-dropdown {
+    font-size: 0.875rem;
+    padding-bottom: 0.5rem;
+    padding-top: 0.5rem; }
+    html.theme--documenter-dark .navbar-dropdown .navbar-item {
+      padding-left: 1.5rem;
+      padding-right: 1.5rem; }
+  html.theme--documenter-dark .navbar-divider {
+    background-color: rgba(0, 0, 0, 0.2);
+    border: none;
+    display: none;
+    height: 2px;
+    margin: 0.5rem 0; }
+  @media screen and (max-width: 1055px) {
+    html.theme--documenter-dark .navbar > .container {
+      display: block; }
+    html.theme--documenter-dark .navbar-brand .navbar-item,
+    html.theme--documenter-dark .navbar-tabs .navbar-item {
+      align-items: center;
+      display: flex; }
+    html.theme--documenter-dark .navbar-link::after {
+      display: none; }
+    html.theme--documenter-dark .navbar-menu {
+      background-color: #375a7f;
+      box-shadow: 0 8px 16px rgba(10, 10, 10, 0.1);
+      padding: 0.5rem 0; }
+      html.theme--documenter-dark .navbar-menu.is-active {
+        display: block; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-touch, html.theme--documenter-dark .navbar.is-fixed-top-touch {
+      left: 0;
+      position: fixed;
+      right: 0;
+      z-index: 30; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-touch {
+      bottom: 0; }
+      html.theme--documenter-dark .navbar.is-fixed-bottom-touch.has-shadow {
+        box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+    html.theme--documenter-dark .navbar.is-fixed-top-touch {
+      top: 0; }
+    html.theme--documenter-dark .navbar.is-fixed-top .navbar-menu, html.theme--documenter-dark .navbar.is-fixed-top-touch .navbar-menu {
+      -webkit-overflow-scrolling: touch;
+      max-height: calc(100vh - 4rem);
+      overflow: auto; }
+    html.theme--documenter-dark html.has-navbar-fixed-top-touch,
+    html.theme--documenter-dark body.has-navbar-fixed-top-touch {
+      padding-top: 4rem; }
+    html.theme--documenter-dark html.has-navbar-fixed-bottom-touch,
+    html.theme--documenter-dark body.has-navbar-fixed-bottom-touch {
+      padding-bottom: 4rem; } }
+  @media screen and (min-width: 1056px) {
+    html.theme--documenter-dark .navbar,
+    html.theme--documenter-dark .navbar-menu,
+    html.theme--documenter-dark .navbar-start,
+    html.theme--documenter-dark .navbar-end {
+      align-items: stretch;
+      display: flex; }
+    html.theme--documenter-dark .navbar {
+      min-height: 4rem; }
+      html.theme--documenter-dark .navbar.is-spaced {
+        padding: 1rem 2rem; }
+        html.theme--documenter-dark .navbar.is-spaced .navbar-start,
+        html.theme--documenter-dark .navbar.is-spaced .navbar-end {
+          align-items: center; }
+        html.theme--documenter-dark .navbar.is-spaced a.navbar-item,
+        html.theme--documenter-dark .navbar.is-spaced .navbar-link {
+          border-radius: 0.4em; }
+      html.theme--documenter-dark .navbar.is-transparent a.navbar-item:focus, html.theme--documenter-dark .navbar.is-transparent a.navbar-item:hover, html.theme--documenter-dark .navbar.is-transparent a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-transparent .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-transparent .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-transparent .navbar-link.is-active {
+        background-color: transparent !important; }
+      html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-active .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus-within .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:hover .navbar-link {
+        background-color: transparent !important; }
+      html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item:focus, html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item:hover {
+        background-color: transparent;
+        color: #dbdee0; }
+      html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item.is-active {
+        background-color: transparent;
+        color: #1abc9c; }
+    html.theme--documenter-dark .navbar-burger {
+      display: none; }
+    html.theme--documenter-dark .navbar-item,
+    html.theme--documenter-dark .navbar-link {
+      align-items: center;
+      display: flex; }
+    html.theme--documenter-dark .navbar-item {
+      display: flex; }
+      html.theme--documenter-dark .navbar-item.has-dropdown {
+        align-items: stretch; }
+      html.theme--documenter-dark .navbar-item.has-dropdown-up .navbar-link::after {
+        transform: rotate(135deg) translate(0.25em, -0.25em); }
+      html.theme--documenter-dark .navbar-item.has-dropdown-up .navbar-dropdown {
+        border-bottom: 1px solid rgba(0, 0, 0, 0.2);
+        border-radius: 8px 8px 0 0;
+        border-top: none;
+        bottom: 100%;
+        box-shadow: 0 -8px 8px rgba(10, 10, 10, 0.1);
+        top: auto; }
+      html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown {
+        display: block; }
+        .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed {
+          opacity: 1;
+          pointer-events: auto;
+          transform: translateY(0); }
+    html.theme--documenter-dark .navbar-menu {
+      flex-grow: 1;
+      flex-shrink: 0; }
+    html.theme--documenter-dark .navbar-start {
+      justify-content: flex-start;
+      margin-right: auto; }
+    html.theme--documenter-dark .navbar-end {
+      justify-content: flex-end;
+      margin-left: auto; }
+    html.theme--documenter-dark .navbar-dropdown {
+      background-color: #375a7f;
+      border-bottom-left-radius: 8px;
+      border-bottom-right-radius: 8px;
+      border-top: 1px solid rgba(0, 0, 0, 0.2);
+      box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1);
+      display: none;
+      font-size: 0.875rem;
+      left: 0;
+      min-width: 100%;
+      position: absolute;
+      top: 100%;
+      z-index: 20; }
+      html.theme--documenter-dark .navbar-dropdown .navbar-item {
+        padding: 0.375rem 1rem;
+        white-space: nowrap; }
+      html.theme--documenter-dark .navbar-dropdown a.navbar-item {
+        padding-right: 3rem; }
+        html.theme--documenter-dark .navbar-dropdown a.navbar-item:focus, html.theme--documenter-dark .navbar-dropdown a.navbar-item:hover {
+          background-color: transparent;
+          color: #dbdee0; }
+        html.theme--documenter-dark .navbar-dropdown a.navbar-item.is-active {
+          background-color: transparent;
+          color: #1abc9c; }
+      .navbar.is-spaced html.theme--documenter-dark .navbar-dropdown, html.theme--documenter-dark .navbar-dropdown.is-boxed {
+        border-radius: 8px;
+        border-top: none;
+        box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+        display: block;
+        opacity: 0;
+        pointer-events: none;
+        top: calc(100% + (-4px));
+        transform: translateY(-5px);
+        transition-duration: 86ms;
+        transition-property: opacity, transform; }
+      html.theme--documenter-dark .navbar-dropdown.is-right {
+        left: auto;
+        right: 0; }
+    html.theme--documenter-dark .navbar-divider {
+      display: block; }
+    html.theme--documenter-dark .navbar > .container .navbar-brand,
+    html.theme--documenter-dark .container > .navbar .navbar-brand {
+      margin-left: -.75rem; }
+    html.theme--documenter-dark .navbar > .container .navbar-menu,
+    html.theme--documenter-dark .container > .navbar .navbar-menu {
+      margin-right: -.75rem; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-desktop, html.theme--documenter-dark .navbar.is-fixed-top-desktop {
+      left: 0;
+      position: fixed;
+      right: 0;
+      z-index: 30; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-desktop {
+      bottom: 0; }
+      html.theme--documenter-dark .navbar.is-fixed-bottom-desktop.has-shadow {
+        box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+    html.theme--documenter-dark .navbar.is-fixed-top-desktop {
+      top: 0; }
+    html.theme--documenter-dark html.has-navbar-fixed-top-desktop,
+    html.theme--documenter-dark body.has-navbar-fixed-top-desktop {
+      padding-top: 4rem; }
+    html.theme--documenter-dark html.has-navbar-fixed-bottom-desktop,
+    html.theme--documenter-dark body.has-navbar-fixed-bottom-desktop {
+      padding-bottom: 4rem; }
+    html.theme--documenter-dark html.has-spaced-navbar-fixed-top,
+    html.theme--documenter-dark body.has-spaced-navbar-fixed-top {
+      padding-top: 6rem; }
+    html.theme--documenter-dark html.has-spaced-navbar-fixed-bottom,
+    html.theme--documenter-dark body.has-spaced-navbar-fixed-bottom {
+      padding-bottom: 6rem; }
+    html.theme--documenter-dark a.navbar-item.is-active,
+    html.theme--documenter-dark .navbar-link.is-active {
+      color: #1abc9c; }
+    html.theme--documenter-dark a.navbar-item.is-active:not(:focus):not(:hover),
+    html.theme--documenter-dark .navbar-link.is-active:not(:focus):not(:hover) {
+      background-color: transparent; }
+    html.theme--documenter-dark .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .navbar-item.has-dropdown:hover .navbar-link, html.theme--documenter-dark .navbar-item.has-dropdown.is-active .navbar-link {
+      background-color: transparent; } }
+  html.theme--documenter-dark .hero.is-fullheight-with-navbar {
+    min-height: calc(100vh - 4rem); }
+  html.theme--documenter-dark .pagination {
+    font-size: 15px;
+    margin: -0.25rem; }
+    html.theme--documenter-dark .pagination.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .pagination.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .pagination.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .pagination.is-rounded .pagination-previous, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-previous,
+    html.theme--documenter-dark .pagination.is-rounded .pagination-next,
+    html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-next {
+      padding-left: 1em;
+      padding-right: 1em;
+      border-radius: 290486px; }
+    html.theme--documenter-dark .pagination.is-rounded .pagination-link, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-link {
+      border-radius: 290486px; }
+  html.theme--documenter-dark .pagination,
+  html.theme--documenter-dark .pagination-list {
+    align-items: center;
+    display: flex;
+    justify-content: center;
+    text-align: center; }
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark .pagination-ellipsis {
+    font-size: 1em;
+    justify-content: center;
+    margin: 0.25rem;
+    padding-left: 0.5em;
+    padding-right: 0.5em;
+    text-align: center; }
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-link {
+    border-color: #5e6d6f;
+    color: #1abc9c;
+    min-width: 2.25em; }
+    html.theme--documenter-dark .pagination-previous:hover,
+    html.theme--documenter-dark .pagination-next:hover,
+    html.theme--documenter-dark .pagination-link:hover {
+      border-color: #8c9b9d;
+      color: #1dd2af; }
+    html.theme--documenter-dark .pagination-previous:focus,
+    html.theme--documenter-dark .pagination-next:focus,
+    html.theme--documenter-dark .pagination-link:focus {
+      border-color: #8c9b9d; }
+    html.theme--documenter-dark .pagination-previous:active,
+    html.theme--documenter-dark .pagination-next:active,
+    html.theme--documenter-dark .pagination-link:active {
+      box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2); }
+    html.theme--documenter-dark .pagination-previous[disabled],
+    html.theme--documenter-dark .pagination-next[disabled],
+    html.theme--documenter-dark .pagination-link[disabled] {
+      background-color: #dbdee0;
+      border-color: #dbdee0;
+      box-shadow: none;
+      color: #5e6d6f;
+      opacity: 0.5; }
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .pagination-next {
+    padding-left: 0.75em;
+    padding-right: 0.75em;
+    white-space: nowrap; }
+  html.theme--documenter-dark .pagination-link.is-current {
+    background-color: #1abc9c;
+    border-color: #1abc9c;
+    color: #fff; }
+  html.theme--documenter-dark .pagination-ellipsis {
+    color: #8c9b9d;
+    pointer-events: none; }
+  html.theme--documenter-dark .pagination-list {
+    flex-wrap: wrap; }
+  @media screen and (max-width: 768px) {
+    html.theme--documenter-dark .pagination {
+      flex-wrap: wrap; }
+    html.theme--documenter-dark .pagination-previous,
+    html.theme--documenter-dark .pagination-next {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .pagination-list li {
+      flex-grow: 1;
+      flex-shrink: 1; } }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .pagination-list {
+      flex-grow: 1;
+      flex-shrink: 1;
+      justify-content: flex-start;
+      order: 1; }
+    html.theme--documenter-dark .pagination-previous {
+      order: 2; }
+    html.theme--documenter-dark .pagination-next {
+      order: 3; }
+    html.theme--documenter-dark .pagination {
+      justify-content: space-between; }
+      html.theme--documenter-dark .pagination.is-centered .pagination-previous {
+        order: 1; }
+      html.theme--documenter-dark .pagination.is-centered .pagination-list {
+        justify-content: center;
+        order: 2; }
+      html.theme--documenter-dark .pagination.is-centered .pagination-next {
+        order: 3; }
+      html.theme--documenter-dark .pagination.is-right .pagination-previous {
+        order: 1; }
+      html.theme--documenter-dark .pagination.is-right .pagination-next {
+        order: 2; }
+      html.theme--documenter-dark .pagination.is-right .pagination-list {
+        justify-content: flex-end;
+        order: 3; } }
+  html.theme--documenter-dark .panel {
+    font-size: 15px; }
+    html.theme--documenter-dark .panel:not(:last-child) {
+      margin-bottom: 1.5rem; }
+  html.theme--documenter-dark .panel-heading,
+  html.theme--documenter-dark .panel-tabs,
+  html.theme--documenter-dark .panel-block {
+    border-bottom: 1px solid #5e6d6f;
+    border-left: 1px solid #5e6d6f;
+    border-right: 1px solid #5e6d6f; }
+    html.theme--documenter-dark .panel-heading:first-child,
+    html.theme--documenter-dark .panel-tabs:first-child,
+    html.theme--documenter-dark .panel-block:first-child {
+      border-top: 1px solid #5e6d6f; }
+  html.theme--documenter-dark .panel-heading {
+    background-color: #282f2f;
+    border-radius: 0.4em 0.4em 0 0;
+    color: #f2f2f2;
+    font-size: 1.25em;
+    font-weight: 300;
+    line-height: 1.25;
+    padding: 0.5em 0.75em; }
+  html.theme--documenter-dark .panel-tabs {
+    align-items: flex-end;
+    display: flex;
+    font-size: 0.875em;
+    justify-content: center; }
+    html.theme--documenter-dark .panel-tabs a {
+      border-bottom: 1px solid #5e6d6f;
+      margin-bottom: -1px;
+      padding: 0.5em; }
+      html.theme--documenter-dark .panel-tabs a.is-active {
+        border-bottom-color: #343c3d;
+        color: #17a689; }
+  html.theme--documenter-dark .panel-list a {
+    color: #fff; }
+    html.theme--documenter-dark .panel-list a:hover {
+      color: #1abc9c; }
+  html.theme--documenter-dark .panel-block {
+    align-items: center;
+    color: #f2f2f2;
+    display: flex;
+    justify-content: flex-start;
+    padding: 0.5em 0.75em; }
+    html.theme--documenter-dark .panel-block input[type="checkbox"] {
+      margin-right: 0.75em; }
+    html.theme--documenter-dark .panel-block > .control {
+      flex-grow: 1;
+      flex-shrink: 1;
+      width: 100%; }
+    html.theme--documenter-dark .panel-block.is-wrapped {
+      flex-wrap: wrap; }
+    html.theme--documenter-dark .panel-block.is-active {
+      border-left-color: #1abc9c;
+      color: #17a689; }
+      html.theme--documenter-dark .panel-block.is-active .panel-icon {
+        color: #1abc9c; }
+  html.theme--documenter-dark a.panel-block,
+  html.theme--documenter-dark label.panel-block {
+    cursor: pointer; }
+    html.theme--documenter-dark a.panel-block:hover,
+    html.theme--documenter-dark label.panel-block:hover {
+      background-color: #282f2f; }
+  html.theme--documenter-dark .panel-icon {
+    display: inline-block;
+    font-size: 14px;
+    height: 1em;
+    line-height: 1em;
+    text-align: center;
+    vertical-align: top;
+    width: 1em;
+    color: white;
+    margin-right: 0.75em; }
+    html.theme--documenter-dark .panel-icon .fa {
+      font-size: inherit;
+      line-height: inherit; }
+  html.theme--documenter-dark .tabs {
+    -webkit-overflow-scrolling: touch;
+    align-items: stretch;
+    display: flex;
+    font-size: 15px;
+    justify-content: space-between;
+    overflow: hidden;
+    overflow-x: auto;
+    white-space: nowrap; }
+    html.theme--documenter-dark .tabs a {
+      align-items: center;
+      border-bottom-color: #5e6d6f;
+      border-bottom-style: solid;
+      border-bottom-width: 1px;
+      color: #fff;
+      display: flex;
+      justify-content: center;
+      margin-bottom: -1px;
+      padding: 0.5em 1em;
+      vertical-align: top; }
+      html.theme--documenter-dark .tabs a:hover {
+        border-bottom-color: #f2f2f2;
+        color: #f2f2f2; }
+    html.theme--documenter-dark .tabs li {
+      display: block; }
+      html.theme--documenter-dark .tabs li.is-active a {
+        border-bottom-color: #1abc9c;
+        color: #1abc9c; }
+    html.theme--documenter-dark .tabs ul {
+      align-items: center;
+      border-bottom-color: #5e6d6f;
+      border-bottom-style: solid;
+      border-bottom-width: 1px;
+      display: flex;
+      flex-grow: 1;
+      flex-shrink: 0;
+      justify-content: flex-start; }
+      html.theme--documenter-dark .tabs ul.is-left {
+        padding-right: 0.75em; }
+      html.theme--documenter-dark .tabs ul.is-center {
+        flex: none;
+        justify-content: center;
+        padding-left: 0.75em;
+        padding-right: 0.75em; }
+      html.theme--documenter-dark .tabs ul.is-right {
+        justify-content: flex-end;
+        padding-left: 0.75em; }
+    html.theme--documenter-dark .tabs .icon:first-child {
+      margin-right: 0.5em; }
+    html.theme--documenter-dark .tabs .icon:last-child {
+      margin-left: 0.5em; }
+    html.theme--documenter-dark .tabs.is-centered ul {
+      justify-content: center; }
+    html.theme--documenter-dark .tabs.is-right ul {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .tabs.is-boxed a {
+      border: 1px solid transparent;
+      border-radius: 0.4em 0.4em 0 0; }
+      html.theme--documenter-dark .tabs.is-boxed a:hover {
+        background-color: #282f2f;
+        border-bottom-color: #5e6d6f; }
+    html.theme--documenter-dark .tabs.is-boxed li.is-active a {
+      background-color: white;
+      border-color: #5e6d6f;
+      border-bottom-color: transparent !important; }
+    html.theme--documenter-dark .tabs.is-fullwidth li {
+      flex-grow: 1;
+      flex-shrink: 0; }
+    html.theme--documenter-dark .tabs.is-toggle a {
+      border-color: #5e6d6f;
+      border-style: solid;
+      border-width: 1px;
+      margin-bottom: 0;
+      position: relative; }
+      html.theme--documenter-dark .tabs.is-toggle a:hover {
+        background-color: #282f2f;
+        border-color: #8c9b9d;
+        z-index: 2; }
+    html.theme--documenter-dark .tabs.is-toggle li + li {
+      margin-left: -1px; }
+    html.theme--documenter-dark .tabs.is-toggle li:first-child a {
+      border-radius: 0.4em 0 0 0.4em; }
+    html.theme--documenter-dark .tabs.is-toggle li:last-child a {
+      border-radius: 0 0.4em 0.4em 0; }
+    html.theme--documenter-dark .tabs.is-toggle li.is-active a {
+      background-color: #1abc9c;
+      border-color: #1abc9c;
+      color: #fff;
+      z-index: 1; }
+    html.theme--documenter-dark .tabs.is-toggle ul {
+      border-bottom: none; }
+    html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:first-child a {
+      border-bottom-left-radius: 290486px;
+      border-top-left-radius: 290486px;
+      padding-left: 1.25em; }
+    html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:last-child a {
+      border-bottom-right-radius: 290486px;
+      border-top-right-radius: 290486px;
+      padding-right: 1.25em; }
+    html.theme--documenter-dark .tabs.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.tabs {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .tabs.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .tabs.is-large {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .column {
+    display: block;
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 1;
+    padding: 0.75rem; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-narrow {
+      flex: none; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-full {
+      flex: none;
+      width: 100%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-three-quarters {
+      flex: none;
+      width: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-two-thirds {
+      flex: none;
+      width: 66.6666%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-half {
+      flex: none;
+      width: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-one-third {
+      flex: none;
+      width: 33.3333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-one-quarter {
+      flex: none;
+      width: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-one-fifth {
+      flex: none;
+      width: 20%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-two-fifths {
+      flex: none;
+      width: 40%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-three-fifths {
+      flex: none;
+      width: 60%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-four-fifths {
+      flex: none;
+      width: 80%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-three-quarters {
+      margin-left: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-two-thirds {
+      margin-left: 66.6666%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-half {
+      margin-left: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-third {
+      margin-left: 33.3333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-quarter {
+      margin-left: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-fifth {
+      margin-left: 20%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-two-fifths {
+      margin-left: 40%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-three-fifths {
+      margin-left: 60%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-four-fifths {
+      margin-left: 80%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-0 {
+      flex: none;
+      width: 0%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-0 {
+      margin-left: 0%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-1 {
+      flex: none;
+      width: 8.33333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-1 {
+      margin-left: 8.33333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-2 {
+      flex: none;
+      width: 16.66667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-2 {
+      margin-left: 16.66667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-3 {
+      flex: none;
+      width: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-3 {
+      margin-left: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-4 {
+      flex: none;
+      width: 33.33333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-4 {
+      margin-left: 33.33333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-5 {
+      flex: none;
+      width: 41.66667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-5 {
+      margin-left: 41.66667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-6 {
+      flex: none;
+      width: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-6 {
+      margin-left: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-7 {
+      flex: none;
+      width: 58.33333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-7 {
+      margin-left: 58.33333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-8 {
+      flex: none;
+      width: 66.66667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-8 {
+      margin-left: 66.66667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-9 {
+      flex: none;
+      width: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-9 {
+      margin-left: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-10 {
+      flex: none;
+      width: 83.33333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-10 {
+      margin-left: 83.33333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-11 {
+      flex: none;
+      width: 91.66667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-11 {
+      margin-left: 91.66667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-12 {
+      flex: none;
+      width: 100%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-12 {
+      margin-left: 100%; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .column.is-narrow-mobile {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-mobile {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-mobile {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-mobile {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-mobile {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-mobile {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-mobile {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-mobile {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-mobile {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-mobile {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-mobile {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-mobile {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-mobile {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-mobile {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-mobile {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-mobile {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-mobile {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-mobile {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-mobile {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-mobile {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-mobile {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-mobile {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-mobile {
+        flex: none;
+        width: 8.33333%; }
+      html.theme--documenter-dark .column.is-offset-1-mobile {
+        margin-left: 8.33333%; }
+      html.theme--documenter-dark .column.is-2-mobile {
+        flex: none;
+        width: 16.66667%; }
+      html.theme--documenter-dark .column.is-offset-2-mobile {
+        margin-left: 16.66667%; }
+      html.theme--documenter-dark .column.is-3-mobile {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-mobile {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-mobile {
+        flex: none;
+        width: 33.33333%; }
+      html.theme--documenter-dark .column.is-offset-4-mobile {
+        margin-left: 33.33333%; }
+      html.theme--documenter-dark .column.is-5-mobile {
+        flex: none;
+        width: 41.66667%; }
+      html.theme--documenter-dark .column.is-offset-5-mobile {
+        margin-left: 41.66667%; }
+      html.theme--documenter-dark .column.is-6-mobile {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-mobile {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-mobile {
+        flex: none;
+        width: 58.33333%; }
+      html.theme--documenter-dark .column.is-offset-7-mobile {
+        margin-left: 58.33333%; }
+      html.theme--documenter-dark .column.is-8-mobile {
+        flex: none;
+        width: 66.66667%; }
+      html.theme--documenter-dark .column.is-offset-8-mobile {
+        margin-left: 66.66667%; }
+      html.theme--documenter-dark .column.is-9-mobile {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-mobile {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-mobile {
+        flex: none;
+        width: 83.33333%; }
+      html.theme--documenter-dark .column.is-offset-10-mobile {
+        margin-left: 83.33333%; }
+      html.theme--documenter-dark .column.is-11-mobile {
+        flex: none;
+        width: 91.66667%; }
+      html.theme--documenter-dark .column.is-offset-11-mobile {
+        margin-left: 91.66667%; }
+      html.theme--documenter-dark .column.is-12-mobile {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-mobile {
+        margin-left: 100%; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .column.is-narrow, html.theme--documenter-dark .column.is-narrow-tablet {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full, html.theme--documenter-dark .column.is-full-tablet {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters, html.theme--documenter-dark .column.is-three-quarters-tablet {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds, html.theme--documenter-dark .column.is-two-thirds-tablet {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half, html.theme--documenter-dark .column.is-half-tablet {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third, html.theme--documenter-dark .column.is-one-third-tablet {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter, html.theme--documenter-dark .column.is-one-quarter-tablet {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth, html.theme--documenter-dark .column.is-one-fifth-tablet {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths, html.theme--documenter-dark .column.is-two-fifths-tablet {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths, html.theme--documenter-dark .column.is-three-fifths-tablet {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths, html.theme--documenter-dark .column.is-four-fifths-tablet {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters, html.theme--documenter-dark .column.is-offset-three-quarters-tablet {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds, html.theme--documenter-dark .column.is-offset-two-thirds-tablet {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half, html.theme--documenter-dark .column.is-offset-half-tablet {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third, html.theme--documenter-dark .column.is-offset-one-third-tablet {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter, html.theme--documenter-dark .column.is-offset-one-quarter-tablet {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth, html.theme--documenter-dark .column.is-offset-one-fifth-tablet {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths, html.theme--documenter-dark .column.is-offset-two-fifths-tablet {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths, html.theme--documenter-dark .column.is-offset-three-fifths-tablet {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths, html.theme--documenter-dark .column.is-offset-four-fifths-tablet {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0, html.theme--documenter-dark .column.is-0-tablet {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0, html.theme--documenter-dark .column.is-offset-0-tablet {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1, html.theme--documenter-dark .column.is-1-tablet {
+        flex: none;
+        width: 8.33333%; }
+      html.theme--documenter-dark .column.is-offset-1, html.theme--documenter-dark .column.is-offset-1-tablet {
+        margin-left: 8.33333%; }
+      html.theme--documenter-dark .column.is-2, html.theme--documenter-dark .column.is-2-tablet {
+        flex: none;
+        width: 16.66667%; }
+      html.theme--documenter-dark .column.is-offset-2, html.theme--documenter-dark .column.is-offset-2-tablet {
+        margin-left: 16.66667%; }
+      html.theme--documenter-dark .column.is-3, html.theme--documenter-dark .column.is-3-tablet {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3, html.theme--documenter-dark .column.is-offset-3-tablet {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4, html.theme--documenter-dark .column.is-4-tablet {
+        flex: none;
+        width: 33.33333%; }
+      html.theme--documenter-dark .column.is-offset-4, html.theme--documenter-dark .column.is-offset-4-tablet {
+        margin-left: 33.33333%; }
+      html.theme--documenter-dark .column.is-5, html.theme--documenter-dark .column.is-5-tablet {
+        flex: none;
+        width: 41.66667%; }
+      html.theme--documenter-dark .column.is-offset-5, html.theme--documenter-dark .column.is-offset-5-tablet {
+        margin-left: 41.66667%; }
+      html.theme--documenter-dark .column.is-6, html.theme--documenter-dark .column.is-6-tablet {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6, html.theme--documenter-dark .column.is-offset-6-tablet {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7, html.theme--documenter-dark .column.is-7-tablet {
+        flex: none;
+        width: 58.33333%; }
+      html.theme--documenter-dark .column.is-offset-7, html.theme--documenter-dark .column.is-offset-7-tablet {
+        margin-left: 58.33333%; }
+      html.theme--documenter-dark .column.is-8, html.theme--documenter-dark .column.is-8-tablet {
+        flex: none;
+        width: 66.66667%; }
+      html.theme--documenter-dark .column.is-offset-8, html.theme--documenter-dark .column.is-offset-8-tablet {
+        margin-left: 66.66667%; }
+      html.theme--documenter-dark .column.is-9, html.theme--documenter-dark .column.is-9-tablet {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9, html.theme--documenter-dark .column.is-offset-9-tablet {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10, html.theme--documenter-dark .column.is-10-tablet {
+        flex: none;
+        width: 83.33333%; }
+      html.theme--documenter-dark .column.is-offset-10, html.theme--documenter-dark .column.is-offset-10-tablet {
+        margin-left: 83.33333%; }
+      html.theme--documenter-dark .column.is-11, html.theme--documenter-dark .column.is-11-tablet {
+        flex: none;
+        width: 91.66667%; }
+      html.theme--documenter-dark .column.is-offset-11, html.theme--documenter-dark .column.is-offset-11-tablet {
+        margin-left: 91.66667%; }
+      html.theme--documenter-dark .column.is-12, html.theme--documenter-dark .column.is-12-tablet {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12, html.theme--documenter-dark .column.is-offset-12-tablet {
+        margin-left: 100%; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .column.is-narrow-touch {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-touch {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-touch {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-touch {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-touch {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-touch {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-touch {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-touch {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-touch {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-touch {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-touch {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-touch {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-touch {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-touch {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-touch {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-touch {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-touch {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-touch {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-touch {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-touch {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-touch {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-touch {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-touch {
+        flex: none;
+        width: 8.33333%; }
+      html.theme--documenter-dark .column.is-offset-1-touch {
+        margin-left: 8.33333%; }
+      html.theme--documenter-dark .column.is-2-touch {
+        flex: none;
+        width: 16.66667%; }
+      html.theme--documenter-dark .column.is-offset-2-touch {
+        margin-left: 16.66667%; }
+      html.theme--documenter-dark .column.is-3-touch {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-touch {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-touch {
+        flex: none;
+        width: 33.33333%; }
+      html.theme--documenter-dark .column.is-offset-4-touch {
+        margin-left: 33.33333%; }
+      html.theme--documenter-dark .column.is-5-touch {
+        flex: none;
+        width: 41.66667%; }
+      html.theme--documenter-dark .column.is-offset-5-touch {
+        margin-left: 41.66667%; }
+      html.theme--documenter-dark .column.is-6-touch {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-touch {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-touch {
+        flex: none;
+        width: 58.33333%; }
+      html.theme--documenter-dark .column.is-offset-7-touch {
+        margin-left: 58.33333%; }
+      html.theme--documenter-dark .column.is-8-touch {
+        flex: none;
+        width: 66.66667%; }
+      html.theme--documenter-dark .column.is-offset-8-touch {
+        margin-left: 66.66667%; }
+      html.theme--documenter-dark .column.is-9-touch {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-touch {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-touch {
+        flex: none;
+        width: 83.33333%; }
+      html.theme--documenter-dark .column.is-offset-10-touch {
+        margin-left: 83.33333%; }
+      html.theme--documenter-dark .column.is-11-touch {
+        flex: none;
+        width: 91.66667%; }
+      html.theme--documenter-dark .column.is-offset-11-touch {
+        margin-left: 91.66667%; }
+      html.theme--documenter-dark .column.is-12-touch {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-touch {
+        margin-left: 100%; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .column.is-narrow-desktop {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-desktop {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-desktop {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-desktop {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-desktop {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-desktop {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-desktop {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-desktop {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-desktop {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-desktop {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-desktop {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-desktop {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-desktop {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-desktop {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-desktop {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-desktop {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-desktop {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-desktop {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-desktop {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-desktop {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-desktop {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-desktop {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-desktop {
+        flex: none;
+        width: 8.33333%; }
+      html.theme--documenter-dark .column.is-offset-1-desktop {
+        margin-left: 8.33333%; }
+      html.theme--documenter-dark .column.is-2-desktop {
+        flex: none;
+        width: 16.66667%; }
+      html.theme--documenter-dark .column.is-offset-2-desktop {
+        margin-left: 16.66667%; }
+      html.theme--documenter-dark .column.is-3-desktop {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-desktop {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-desktop {
+        flex: none;
+        width: 33.33333%; }
+      html.theme--documenter-dark .column.is-offset-4-desktop {
+        margin-left: 33.33333%; }
+      html.theme--documenter-dark .column.is-5-desktop {
+        flex: none;
+        width: 41.66667%; }
+      html.theme--documenter-dark .column.is-offset-5-desktop {
+        margin-left: 41.66667%; }
+      html.theme--documenter-dark .column.is-6-desktop {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-desktop {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-desktop {
+        flex: none;
+        width: 58.33333%; }
+      html.theme--documenter-dark .column.is-offset-7-desktop {
+        margin-left: 58.33333%; }
+      html.theme--documenter-dark .column.is-8-desktop {
+        flex: none;
+        width: 66.66667%; }
+      html.theme--documenter-dark .column.is-offset-8-desktop {
+        margin-left: 66.66667%; }
+      html.theme--documenter-dark .column.is-9-desktop {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-desktop {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-desktop {
+        flex: none;
+        width: 83.33333%; }
+      html.theme--documenter-dark .column.is-offset-10-desktop {
+        margin-left: 83.33333%; }
+      html.theme--documenter-dark .column.is-11-desktop {
+        flex: none;
+        width: 91.66667%; }
+      html.theme--documenter-dark .column.is-offset-11-desktop {
+        margin-left: 91.66667%; }
+      html.theme--documenter-dark .column.is-12-desktop {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-desktop {
+        margin-left: 100%; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .column.is-narrow-widescreen {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-widescreen {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-widescreen {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-widescreen {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-widescreen {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-widescreen {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-widescreen {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-widescreen {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-widescreen {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-widescreen {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-widescreen {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-widescreen {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-widescreen {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-widescreen {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-widescreen {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-widescreen {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-widescreen {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-widescreen {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-widescreen {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-widescreen {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-widescreen {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-widescreen {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-widescreen {
+        flex: none;
+        width: 8.33333%; }
+      html.theme--documenter-dark .column.is-offset-1-widescreen {
+        margin-left: 8.33333%; }
+      html.theme--documenter-dark .column.is-2-widescreen {
+        flex: none;
+        width: 16.66667%; }
+      html.theme--documenter-dark .column.is-offset-2-widescreen {
+        margin-left: 16.66667%; }
+      html.theme--documenter-dark .column.is-3-widescreen {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-widescreen {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-widescreen {
+        flex: none;
+        width: 33.33333%; }
+      html.theme--documenter-dark .column.is-offset-4-widescreen {
+        margin-left: 33.33333%; }
+      html.theme--documenter-dark .column.is-5-widescreen {
+        flex: none;
+        width: 41.66667%; }
+      html.theme--documenter-dark .column.is-offset-5-widescreen {
+        margin-left: 41.66667%; }
+      html.theme--documenter-dark .column.is-6-widescreen {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-widescreen {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-widescreen {
+        flex: none;
+        width: 58.33333%; }
+      html.theme--documenter-dark .column.is-offset-7-widescreen {
+        margin-left: 58.33333%; }
+      html.theme--documenter-dark .column.is-8-widescreen {
+        flex: none;
+        width: 66.66667%; }
+      html.theme--documenter-dark .column.is-offset-8-widescreen {
+        margin-left: 66.66667%; }
+      html.theme--documenter-dark .column.is-9-widescreen {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-widescreen {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-widescreen {
+        flex: none;
+        width: 83.33333%; }
+      html.theme--documenter-dark .column.is-offset-10-widescreen {
+        margin-left: 83.33333%; }
+      html.theme--documenter-dark .column.is-11-widescreen {
+        flex: none;
+        width: 91.66667%; }
+      html.theme--documenter-dark .column.is-offset-11-widescreen {
+        margin-left: 91.66667%; }
+      html.theme--documenter-dark .column.is-12-widescreen {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-widescreen {
+        margin-left: 100%; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .column.is-narrow-fullhd {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-fullhd {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-fullhd {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-fullhd {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-fullhd {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-fullhd {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-fullhd {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-fullhd {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-fullhd {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-fullhd {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-fullhd {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-fullhd {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-fullhd {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-fullhd {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-fullhd {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-fullhd {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-fullhd {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-fullhd {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-fullhd {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-fullhd {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-fullhd {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-fullhd {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-fullhd {
+        flex: none;
+        width: 8.33333%; }
+      html.theme--documenter-dark .column.is-offset-1-fullhd {
+        margin-left: 8.33333%; }
+      html.theme--documenter-dark .column.is-2-fullhd {
+        flex: none;
+        width: 16.66667%; }
+      html.theme--documenter-dark .column.is-offset-2-fullhd {
+        margin-left: 16.66667%; }
+      html.theme--documenter-dark .column.is-3-fullhd {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-fullhd {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-fullhd {
+        flex: none;
+        width: 33.33333%; }
+      html.theme--documenter-dark .column.is-offset-4-fullhd {
+        margin-left: 33.33333%; }
+      html.theme--documenter-dark .column.is-5-fullhd {
+        flex: none;
+        width: 41.66667%; }
+      html.theme--documenter-dark .column.is-offset-5-fullhd {
+        margin-left: 41.66667%; }
+      html.theme--documenter-dark .column.is-6-fullhd {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-fullhd {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-fullhd {
+        flex: none;
+        width: 58.33333%; }
+      html.theme--documenter-dark .column.is-offset-7-fullhd {
+        margin-left: 58.33333%; }
+      html.theme--documenter-dark .column.is-8-fullhd {
+        flex: none;
+        width: 66.66667%; }
+      html.theme--documenter-dark .column.is-offset-8-fullhd {
+        margin-left: 66.66667%; }
+      html.theme--documenter-dark .column.is-9-fullhd {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-fullhd {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-fullhd {
+        flex: none;
+        width: 83.33333%; }
+      html.theme--documenter-dark .column.is-offset-10-fullhd {
+        margin-left: 83.33333%; }
+      html.theme--documenter-dark .column.is-11-fullhd {
+        flex: none;
+        width: 91.66667%; }
+      html.theme--documenter-dark .column.is-offset-11-fullhd {
+        margin-left: 91.66667%; }
+      html.theme--documenter-dark .column.is-12-fullhd {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-fullhd {
+        margin-left: 100%; } }
+  html.theme--documenter-dark .columns {
+    margin-left: -0.75rem;
+    margin-right: -0.75rem;
+    margin-top: -0.75rem; }
+    html.theme--documenter-dark .columns:last-child {
+      margin-bottom: -0.75rem; }
+    html.theme--documenter-dark .columns:not(:last-child) {
+      margin-bottom: calc(1.5rem - 0.75rem); }
+    html.theme--documenter-dark .columns.is-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .columns.is-gapless {
+      margin-left: 0;
+      margin-right: 0;
+      margin-top: 0; }
+      html.theme--documenter-dark .columns.is-gapless > .column {
+        margin: 0;
+        padding: 0 !important; }
+      html.theme--documenter-dark .columns.is-gapless:not(:last-child) {
+        margin-bottom: 1.5rem; }
+      html.theme--documenter-dark .columns.is-gapless:last-child {
+        margin-bottom: 0; }
+    html.theme--documenter-dark .columns.is-mobile {
+      display: flex; }
+    html.theme--documenter-dark .columns.is-multiline {
+      flex-wrap: wrap; }
+    html.theme--documenter-dark .columns.is-vcentered {
+      align-items: center; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns:not(.is-desktop) {
+        display: flex; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-desktop {
+        display: flex; } }
+  html.theme--documenter-dark .columns.is-variable {
+    --columnGap: 0.75rem;
+    margin-left: calc(-1 * var(--columnGap));
+    margin-right: calc(-1 * var(--columnGap)); }
+    html.theme--documenter-dark .columns.is-variable .column {
+      padding-left: var(--columnGap);
+      padding-right: var(--columnGap); }
+    html.theme--documenter-dark .columns.is-variable.is-0 {
+      --columnGap: 0rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-mobile {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-0-tablet {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-tablet-only {
+        --columnGap: 0rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-touch {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-desktop {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-desktop-only {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-widescreen {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-widescreen-only {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-fullhd {
+        --columnGap: 0rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-1 {
+      --columnGap: 0.25rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-mobile {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-1-tablet {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-tablet-only {
+        --columnGap: 0.25rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-touch {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-desktop {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-desktop-only {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-widescreen {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-widescreen-only {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-fullhd {
+        --columnGap: 0.25rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-2 {
+      --columnGap: 0.5rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-mobile {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-2-tablet {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-tablet-only {
+        --columnGap: 0.5rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-touch {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-desktop {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-desktop-only {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-widescreen {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-widescreen-only {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-fullhd {
+        --columnGap: 0.5rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-3 {
+      --columnGap: 0.75rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-mobile {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-3-tablet {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-tablet-only {
+        --columnGap: 0.75rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-touch {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-desktop {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-desktop-only {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-widescreen {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-widescreen-only {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-fullhd {
+        --columnGap: 0.75rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-4 {
+      --columnGap: 1rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-mobile {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-4-tablet {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-tablet-only {
+        --columnGap: 1rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-touch {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-desktop {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-desktop-only {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-widescreen {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-widescreen-only {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-fullhd {
+        --columnGap: 1rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-5 {
+      --columnGap: 1.25rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-mobile {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-5-tablet {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-tablet-only {
+        --columnGap: 1.25rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-touch {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-desktop {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-desktop-only {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-widescreen {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-widescreen-only {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-fullhd {
+        --columnGap: 1.25rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-6 {
+      --columnGap: 1.5rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-mobile {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-6-tablet {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-tablet-only {
+        --columnGap: 1.5rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-touch {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-desktop {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-desktop-only {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-widescreen {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-widescreen-only {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-fullhd {
+        --columnGap: 1.5rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-7 {
+      --columnGap: 1.75rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-mobile {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-7-tablet {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-tablet-only {
+        --columnGap: 1.75rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-touch {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-desktop {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-desktop-only {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-widescreen {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-widescreen-only {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-fullhd {
+        --columnGap: 1.75rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-8 {
+      --columnGap: 2rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-mobile {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-8-tablet {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-tablet-only {
+        --columnGap: 2rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-touch {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-desktop {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-desktop-only {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-widescreen {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-widescreen-only {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-fullhd {
+        --columnGap: 2rem; } }
+  html.theme--documenter-dark .tile {
+    align-items: stretch;
+    display: block;
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 1;
+    min-height: min-content; }
+    html.theme--documenter-dark .tile.is-ancestor {
+      margin-left: -0.75rem;
+      margin-right: -0.75rem;
+      margin-top: -0.75rem; }
+      html.theme--documenter-dark .tile.is-ancestor:last-child {
+        margin-bottom: -0.75rem; }
+      html.theme--documenter-dark .tile.is-ancestor:not(:last-child) {
+        margin-bottom: 0.75rem; }
+    html.theme--documenter-dark .tile.is-child {
+      margin: 0 !important; }
+    html.theme--documenter-dark .tile.is-parent {
+      padding: 0.75rem; }
+    html.theme--documenter-dark .tile.is-vertical {
+      flex-direction: column; }
+      html.theme--documenter-dark .tile.is-vertical > .tile.is-child:not(:last-child) {
+        margin-bottom: 1.5rem !important; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .tile:not(.is-child) {
+        display: flex; }
+      html.theme--documenter-dark .tile.is-1 {
+        flex: none;
+        width: 8.33333%; }
+      html.theme--documenter-dark .tile.is-2 {
+        flex: none;
+        width: 16.66667%; }
+      html.theme--documenter-dark .tile.is-3 {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .tile.is-4 {
+        flex: none;
+        width: 33.33333%; }
+      html.theme--documenter-dark .tile.is-5 {
+        flex: none;
+        width: 41.66667%; }
+      html.theme--documenter-dark .tile.is-6 {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .tile.is-7 {
+        flex: none;
+        width: 58.33333%; }
+      html.theme--documenter-dark .tile.is-8 {
+        flex: none;
+        width: 66.66667%; }
+      html.theme--documenter-dark .tile.is-9 {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .tile.is-10 {
+        flex: none;
+        width: 83.33333%; }
+      html.theme--documenter-dark .tile.is-11 {
+        flex: none;
+        width: 91.66667%; }
+      html.theme--documenter-dark .tile.is-12 {
+        flex: none;
+        width: 100%; } }
+  html.theme--documenter-dark .hero {
+    align-items: stretch;
+    display: flex;
+    flex-direction: column;
+    justify-content: space-between; }
+    html.theme--documenter-dark .hero .navbar {
+      background: none; }
+    html.theme--documenter-dark .hero .tabs ul {
+      border-bottom: none; }
+    html.theme--documenter-dark .hero.is-white {
+      background-color: white;
+      color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-white a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-white strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-white .title {
+        color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-white .subtitle {
+        color: rgba(10, 10, 10, 0.9); }
+        html.theme--documenter-dark .hero.is-white .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-white .subtitle strong {
+          color: #0a0a0a; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-white .navbar-menu {
+          background-color: white; } }
+      html.theme--documenter-dark .hero.is-white .navbar-item,
+      html.theme--documenter-dark .hero.is-white .navbar-link {
+        color: rgba(10, 10, 10, 0.7); }
+      html.theme--documenter-dark .hero.is-white a.navbar-item:hover, html.theme--documenter-dark .hero.is-white a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-white .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-white .navbar-link.is-active {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-white .tabs a {
+        color: #0a0a0a;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-white .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-white .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-white .tabs.is-boxed a, html.theme--documenter-dark .hero.is-white .tabs.is-toggle a {
+        color: #0a0a0a; }
+        html.theme--documenter-dark .hero.is-white .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-white .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-white .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-white .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-white .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-white .tabs.is-toggle li.is-active a:hover {
+        background-color: #0a0a0a;
+        border-color: #0a0a0a;
+        color: white; }
+      html.theme--documenter-dark .hero.is-white.is-bold {
+        background-image: linear-gradient(141deg, #e6e6e6 0%, white 71%, white 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-white.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #e6e6e6 0%, white 71%, white 100%); } }
+    html.theme--documenter-dark .hero.is-black {
+      background-color: #0a0a0a;
+      color: white; }
+      html.theme--documenter-dark .hero.is-black a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-black strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-black .title {
+        color: white; }
+      html.theme--documenter-dark .hero.is-black .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-black .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-black .subtitle strong {
+          color: white; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-black .navbar-menu {
+          background-color: #0a0a0a; } }
+      html.theme--documenter-dark .hero.is-black .navbar-item,
+      html.theme--documenter-dark .hero.is-black .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-black a.navbar-item:hover, html.theme--documenter-dark .hero.is-black a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-black .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-black .navbar-link.is-active {
+        background-color: black;
+        color: white; }
+      html.theme--documenter-dark .hero.is-black .tabs a {
+        color: white;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-black .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-black .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-black .tabs.is-boxed a, html.theme--documenter-dark .hero.is-black .tabs.is-toggle a {
+        color: white; }
+        html.theme--documenter-dark .hero.is-black .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-black .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-black .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-black .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-black .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-black .tabs.is-toggle li.is-active a:hover {
+        background-color: white;
+        border-color: white;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-black.is-bold {
+        background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-black.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } }
+    html.theme--documenter-dark .hero.is-light {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+      html.theme--documenter-dark .hero.is-light a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-light strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-light .title {
+        color: #282f2f; }
+      html.theme--documenter-dark .hero.is-light .subtitle {
+        color: rgba(40, 47, 47, 0.9); }
+        html.theme--documenter-dark .hero.is-light .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-light .subtitle strong {
+          color: #282f2f; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-light .navbar-menu {
+          background-color: #ecf0f1; } }
+      html.theme--documenter-dark .hero.is-light .navbar-item,
+      html.theme--documenter-dark .hero.is-light .navbar-link {
+        color: rgba(40, 47, 47, 0.7); }
+      html.theme--documenter-dark .hero.is-light a.navbar-item:hover, html.theme--documenter-dark .hero.is-light a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-light .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-light .navbar-link.is-active {
+        background-color: #dde4e6;
+        color: #282f2f; }
+      html.theme--documenter-dark .hero.is-light .tabs a {
+        color: #282f2f;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-light .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-light .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-light .tabs.is-boxed a, html.theme--documenter-dark .hero.is-light .tabs.is-toggle a {
+        color: #282f2f; }
+        html.theme--documenter-dark .hero.is-light .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-light .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-light .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-light .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-light .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-light .tabs.is-toggle li.is-active a:hover {
+        background-color: #282f2f;
+        border-color: #282f2f;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-light.is-bold {
+        background-image: linear-gradient(141deg, #cadfe0 0%, #ecf0f1 71%, #fafbfc 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-light.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #cadfe0 0%, #ecf0f1 71%, #fafbfc 100%); } }
+    html.theme--documenter-dark .hero.is-dark, html.theme--documenter-dark .content kbd.hero {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-dark a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), html.theme--documenter-dark .content kbd.hero a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-dark strong,
+      html.theme--documenter-dark .content kbd.hero strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-dark .title, html.theme--documenter-dark .content kbd.hero .title {
+        color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-dark .subtitle, html.theme--documenter-dark .content kbd.hero .subtitle {
+        color: rgba(236, 240, 241, 0.9); }
+        html.theme--documenter-dark .hero.is-dark .subtitle a:not(.button), html.theme--documenter-dark .content kbd.hero .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-dark .subtitle strong,
+        html.theme--documenter-dark .content kbd.hero .subtitle strong {
+          color: #ecf0f1; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-dark .navbar-menu, html.theme--documenter-dark .content kbd.hero .navbar-menu {
+          background-color: #282f2f; } }
+      html.theme--documenter-dark .hero.is-dark .navbar-item, html.theme--documenter-dark .content kbd.hero .navbar-item,
+      html.theme--documenter-dark .hero.is-dark .navbar-link,
+      html.theme--documenter-dark .content kbd.hero .navbar-link {
+        color: rgba(236, 240, 241, 0.7); }
+      html.theme--documenter-dark .hero.is-dark a.navbar-item:hover, html.theme--documenter-dark .content kbd.hero a.navbar-item:hover, html.theme--documenter-dark .hero.is-dark a.navbar-item.is-active, html.theme--documenter-dark .content kbd.hero a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-dark .navbar-link:hover,
+      html.theme--documenter-dark .content kbd.hero .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-dark .navbar-link.is-active,
+      html.theme--documenter-dark .content kbd.hero .navbar-link.is-active {
+        background-color: #1d2122;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-dark .tabs a, html.theme--documenter-dark .content kbd.hero .tabs a {
+        color: #ecf0f1;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-dark .tabs a:hover, html.theme--documenter-dark .content kbd.hero .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-dark .tabs li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-dark .tabs.is-boxed a, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed a, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle a, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle a {
+        color: #ecf0f1; }
+        html.theme--documenter-dark .hero.is-dark .tabs.is-boxed a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-dark .tabs.is-boxed li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-dark .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle li.is-active a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle li.is-active a:hover {
+        background-color: #ecf0f1;
+        border-color: #ecf0f1;
+        color: #282f2f; }
+      html.theme--documenter-dark .hero.is-dark.is-bold, html.theme--documenter-dark .content kbd.hero.is-bold {
+        background-image: linear-gradient(141deg, #0f1615 0%, #282f2f 71%, #313c40 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-dark.is-bold .navbar-menu, html.theme--documenter-dark .content kbd.hero.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #0f1615 0%, #282f2f 71%, #313c40 100%); } }
+    html.theme--documenter-dark .hero.is-primary, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink {
+      background-color: #375a7f;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-primary a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-primary strong,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-primary .title, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-primary .subtitle, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-primary .subtitle a:not(.button), html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-primary .subtitle strong,
+        html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-primary .navbar-menu, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-menu {
+          background-color: #375a7f; } }
+      html.theme--documenter-dark .hero.is-primary .navbar-item, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-item,
+      html.theme--documenter-dark .hero.is-primary .navbar-link,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-primary a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a.navbar-item:hover, html.theme--documenter-dark .hero.is-primary a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-primary .navbar-link:hover,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-primary .navbar-link.is-active,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link.is-active {
+        background-color: #2f4d6d;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-primary .tabs a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-primary .tabs a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-primary .tabs li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-primary .tabs.is-boxed a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-primary .tabs.is-boxed a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-primary .tabs.is-boxed li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-primary .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle li.is-active a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #375a7f; }
+      html.theme--documenter-dark .hero.is-primary.is-bold, html.theme--documenter-dark .docstring > section > a.hero.is-bold.docs-sourcelink {
+        background-image: linear-gradient(141deg, #214b62 0%, #375a7f 71%, #3a5796 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-primary.is-bold .navbar-menu, html.theme--documenter-dark .docstring > section > a.hero.is-bold.docs-sourcelink .navbar-menu {
+            background-image: linear-gradient(141deg, #214b62 0%, #375a7f 71%, #3a5796 100%); } }
+    html.theme--documenter-dark .hero.is-link {
+      background-color: #1abc9c;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-link a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-link strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-link .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-link .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-link .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-link .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-link .navbar-menu {
+          background-color: #1abc9c; } }
+      html.theme--documenter-dark .hero.is-link .navbar-item,
+      html.theme--documenter-dark .hero.is-link .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-link a.navbar-item:hover, html.theme--documenter-dark .hero.is-link a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-link .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-link .navbar-link.is-active {
+        background-color: #17a689;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-link .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-link .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-link .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-link .tabs.is-boxed a, html.theme--documenter-dark .hero.is-link .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-link .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-link .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-link .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-link .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-link .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-link .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #1abc9c; }
+      html.theme--documenter-dark .hero.is-link.is-bold {
+        background-image: linear-gradient(141deg, #0c9764 0%, #1abc9c 71%, #17d8d2 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-link.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #0c9764 0%, #1abc9c 71%, #17d8d2 100%); } }
+    html.theme--documenter-dark .hero.is-info {
+      background-color: #024c7d;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-info a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-info strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-info .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-info .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-info .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-info .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-info .navbar-menu {
+          background-color: #024c7d; } }
+      html.theme--documenter-dark .hero.is-info .navbar-item,
+      html.theme--documenter-dark .hero.is-info .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-info a.navbar-item:hover, html.theme--documenter-dark .hero.is-info a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-info .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-info .navbar-link.is-active {
+        background-color: #023d64;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-info .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-info .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-info .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-info .tabs.is-boxed a, html.theme--documenter-dark .hero.is-info .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-info .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-info .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-info .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-info .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-info .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-info .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #024c7d; }
+      html.theme--documenter-dark .hero.is-info.is-bold {
+        background-image: linear-gradient(141deg, #003a4c 0%, #024c7d 71%, #004299 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-info.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #003a4c 0%, #024c7d 71%, #004299 100%); } }
+    html.theme--documenter-dark .hero.is-success {
+      background-color: #008438;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-success a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-success strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-success .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-success .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-success .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-success .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-success .navbar-menu {
+          background-color: #008438; } }
+      html.theme--documenter-dark .hero.is-success .navbar-item,
+      html.theme--documenter-dark .hero.is-success .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-success a.navbar-item:hover, html.theme--documenter-dark .hero.is-success a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-success .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-success .navbar-link.is-active {
+        background-color: #006b2d;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-success .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-success .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-success .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-success .tabs.is-boxed a, html.theme--documenter-dark .hero.is-success .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-success .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-success .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-success .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-success .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-success .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-success .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #008438; }
+      html.theme--documenter-dark .hero.is-success.is-bold {
+        background-image: linear-gradient(141deg, #005115 0%, #008438 71%, #009e5d 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-success.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #005115 0%, #008438 71%, #009e5d 100%); } }
+    html.theme--documenter-dark .hero.is-warning {
+      background-color: #ad8100;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-warning a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-warning strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-warning .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-warning .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-warning .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-warning .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-warning .navbar-menu {
+          background-color: #ad8100; } }
+      html.theme--documenter-dark .hero.is-warning .navbar-item,
+      html.theme--documenter-dark .hero.is-warning .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-warning a.navbar-item:hover, html.theme--documenter-dark .hero.is-warning a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-warning .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-warning .navbar-link.is-active {
+        background-color: #946e00;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-warning .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-warning .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-warning .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-warning .tabs.is-boxed a, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-warning .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-warning .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-warning .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #ad8100; }
+      html.theme--documenter-dark .hero.is-warning.is-bold {
+        background-image: linear-gradient(141deg, #7a4700 0%, #ad8100 71%, #c7b500 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-warning.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #7a4700 0%, #ad8100 71%, #c7b500 100%); } }
+    html.theme--documenter-dark .hero.is-danger {
+      background-color: #9e1b0d;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-danger a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-danger strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-danger .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-danger .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-danger .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-danger .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-danger .navbar-menu {
+          background-color: #9e1b0d; } }
+      html.theme--documenter-dark .hero.is-danger .navbar-item,
+      html.theme--documenter-dark .hero.is-danger .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-danger a.navbar-item:hover, html.theme--documenter-dark .hero.is-danger a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-danger .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-danger .navbar-link.is-active {
+        background-color: #86170b;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-danger .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-danger .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-danger .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-danger .tabs.is-boxed a, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-danger .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-danger .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-danger .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #9e1b0d; }
+      html.theme--documenter-dark .hero.is-danger.is-bold {
+        background-image: linear-gradient(141deg, #75030b 0%, #9e1b0d 71%, #ba380a 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-danger.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #75030b 0%, #9e1b0d 71%, #ba380a 100%); } }
+    html.theme--documenter-dark .hero.is-small .hero-body, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.hero .hero-body {
+      padding-bottom: 1.5rem;
+      padding-top: 1.5rem; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .hero.is-medium .hero-body {
+        padding-bottom: 9rem;
+        padding-top: 9rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .hero.is-large .hero-body {
+        padding-bottom: 18rem;
+        padding-top: 18rem; } }
+    html.theme--documenter-dark .hero.is-halfheight .hero-body, html.theme--documenter-dark .hero.is-fullheight .hero-body, html.theme--documenter-dark .hero.is-fullheight-with-navbar .hero-body {
+      align-items: center;
+      display: flex; }
+      html.theme--documenter-dark .hero.is-halfheight .hero-body > .container, html.theme--documenter-dark .hero.is-fullheight .hero-body > .container, html.theme--documenter-dark .hero.is-fullheight-with-navbar .hero-body > .container {
+        flex-grow: 1;
+        flex-shrink: 1; }
+    html.theme--documenter-dark .hero.is-halfheight {
+      min-height: 50vh; }
+    html.theme--documenter-dark .hero.is-fullheight {
+      min-height: 100vh; }
+  html.theme--documenter-dark .hero-video {
+    overflow: hidden; }
+    html.theme--documenter-dark .hero-video video {
+      left: 50%;
+      min-height: 100%;
+      min-width: 100%;
+      position: absolute;
+      top: 50%;
+      transform: translate3d(-50%, -50%, 0); }
+    html.theme--documenter-dark .hero-video.is-transparent {
+      opacity: 0.3; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .hero-video {
+        display: none; } }
+  html.theme--documenter-dark .hero-buttons {
+    margin-top: 1.5rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .hero-buttons .button {
+        display: flex; }
+        html.theme--documenter-dark .hero-buttons .button:not(:last-child) {
+          margin-bottom: 0.75rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .hero-buttons {
+        display: flex;
+        justify-content: center; }
+        html.theme--documenter-dark .hero-buttons .button:not(:last-child) {
+          margin-right: 1.5rem; } }
+  html.theme--documenter-dark .hero-head,
+  html.theme--documenter-dark .hero-foot {
+    flex-grow: 0;
+    flex-shrink: 0; }
+  html.theme--documenter-dark .hero-body {
+    flex-grow: 1;
+    flex-shrink: 0;
+    padding: 3rem 1.5rem; }
+  html.theme--documenter-dark .section {
+    padding: 3rem 1.5rem; }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .section.is-medium {
+        padding: 9rem 1.5rem; }
+      html.theme--documenter-dark .section.is-large {
+        padding: 18rem 1.5rem; } }
+  html.theme--documenter-dark .footer {
+    background-color: #282f2f;
+    padding: 3rem 1.5rem 6rem; }
+  html.theme--documenter-dark hr {
+    height: 1px; }
+  html.theme--documenter-dark h6 {
+    text-transform: uppercase;
+    letter-spacing: 0.5px; }
+  html.theme--documenter-dark .hero {
+    background-color: #343c3d; }
+  html.theme--documenter-dark a {
+    transition: all 200ms ease; }
+  html.theme--documenter-dark .button {
+    transition: all 200ms ease;
+    border-width: 1px;
+    color: white; }
+    html.theme--documenter-dark .button.is-active, html.theme--documenter-dark .button.is-focused, html.theme--documenter-dark .button:active, html.theme--documenter-dark .button:focus {
+      box-shadow: 0 0 0 2px rgba(140, 155, 157, 0.5); }
+    html.theme--documenter-dark .button.is-white.is-hovered, html.theme--documenter-dark .button.is-white:hover {
+      background-color: white; }
+    html.theme--documenter-dark .button.is-white.is-active, html.theme--documenter-dark .button.is-white.is-focused, html.theme--documenter-dark .button.is-white:active, html.theme--documenter-dark .button.is-white:focus {
+      border-color: white;
+      box-shadow: 0 0 0 2px rgba(255, 255, 255, 0.5); }
+    html.theme--documenter-dark .button.is-black.is-hovered, html.theme--documenter-dark .button.is-black:hover {
+      background-color: #1d1d1d; }
+    html.theme--documenter-dark .button.is-black.is-active, html.theme--documenter-dark .button.is-black.is-focused, html.theme--documenter-dark .button.is-black:active, html.theme--documenter-dark .button.is-black:focus {
+      border-color: #0a0a0a;
+      box-shadow: 0 0 0 2px rgba(10, 10, 10, 0.5); }
+    html.theme--documenter-dark .button.is-light.is-hovered, html.theme--documenter-dark .button.is-light:hover {
+      background-color: white; }
+    html.theme--documenter-dark .button.is-light.is-active, html.theme--documenter-dark .button.is-light.is-focused, html.theme--documenter-dark .button.is-light:active, html.theme--documenter-dark .button.is-light:focus {
+      border-color: #ecf0f1;
+      box-shadow: 0 0 0 2px rgba(236, 240, 241, 0.5); }
+    html.theme--documenter-dark .button.is-dark.is-hovered, html.theme--documenter-dark .content kbd.button.is-hovered, html.theme--documenter-dark .button.is-dark:hover, html.theme--documenter-dark .content kbd.button:hover {
+      background-color: #3a4344; }
+    html.theme--documenter-dark .button.is-dark.is-active, html.theme--documenter-dark .content kbd.button.is-active, html.theme--documenter-dark .button.is-dark.is-focused, html.theme--documenter-dark .content kbd.button.is-focused, html.theme--documenter-dark .button.is-dark:active, html.theme--documenter-dark .content kbd.button:active, html.theme--documenter-dark .button.is-dark:focus, html.theme--documenter-dark .content kbd.button:focus {
+      border-color: #282f2f;
+      box-shadow: 0 0 0 2px rgba(40, 47, 47, 0.5); }
+    html.theme--documenter-dark .button.is-primary.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary:hover, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:hover {
+      background-color: #436d9a; }
+    html.theme--documenter-dark .button.is-primary.is-active, html.theme--documenter-dark .docstring > section > a.button.is-active.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink, html.theme--documenter-dark .button.is-primary:active, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:active, html.theme--documenter-dark .button.is-primary:focus, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus {
+      border-color: #375a7f;
+      box-shadow: 0 0 0 2px rgba(55, 90, 127, 0.5); }
+    html.theme--documenter-dark .button.is-link.is-hovered, html.theme--documenter-dark .button.is-link:hover {
+      background-color: #1fdeb8; }
+    html.theme--documenter-dark .button.is-link.is-active, html.theme--documenter-dark .button.is-link.is-focused, html.theme--documenter-dark .button.is-link:active, html.theme--documenter-dark .button.is-link:focus {
+      border-color: #1abc9c;
+      box-shadow: 0 0 0 2px rgba(26, 188, 156, 0.5); }
+    html.theme--documenter-dark .button.is-info.is-hovered, html.theme--documenter-dark .button.is-info:hover {
+      background-color: #0363a3; }
+    html.theme--documenter-dark .button.is-info.is-active, html.theme--documenter-dark .button.is-info.is-focused, html.theme--documenter-dark .button.is-info:active, html.theme--documenter-dark .button.is-info:focus {
+      border-color: #024c7d;
+      box-shadow: 0 0 0 2px rgba(2, 76, 125, 0.5); }
+    html.theme--documenter-dark .button.is-success.is-hovered, html.theme--documenter-dark .button.is-success:hover {
+      background-color: #00aa48; }
+    html.theme--documenter-dark .button.is-success.is-active, html.theme--documenter-dark .button.is-success.is-focused, html.theme--documenter-dark .button.is-success:active, html.theme--documenter-dark .button.is-success:focus {
+      border-color: #008438;
+      box-shadow: 0 0 0 2px rgba(0, 132, 56, 0.5); }
+    html.theme--documenter-dark .button.is-warning.is-hovered, html.theme--documenter-dark .button.is-warning:hover {
+      background-color: #d39e00; }
+    html.theme--documenter-dark .button.is-warning.is-active, html.theme--documenter-dark .button.is-warning.is-focused, html.theme--documenter-dark .button.is-warning:active, html.theme--documenter-dark .button.is-warning:focus {
+      border-color: #ad8100;
+      box-shadow: 0 0 0 2px rgba(173, 129, 0, 0.5); }
+    html.theme--documenter-dark .button.is-danger.is-hovered, html.theme--documenter-dark .button.is-danger:hover {
+      background-color: #c12110; }
+    html.theme--documenter-dark .button.is-danger.is-active, html.theme--documenter-dark .button.is-danger.is-focused, html.theme--documenter-dark .button.is-danger:active, html.theme--documenter-dark .button.is-danger:focus {
+      border-color: #9e1b0d;
+      box-shadow: 0 0 0 2px rgba(158, 27, 13, 0.5); }
+  html.theme--documenter-dark .label {
+    color: #dbdee0; }
+  html.theme--documenter-dark .button,
+  html.theme--documenter-dark .control.has-icons-left .icon,
+  html.theme--documenter-dark .control.has-icons-right .icon,
+  html.theme--documenter-dark .input,
+  html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input,
+  html.theme--documenter-dark .pagination-ellipsis,
+  html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .select,
+  html.theme--documenter-dark .select select,
+  html.theme--documenter-dark .textarea {
+    height: 2.5em; }
+  
+  html.theme--documenter-dark .input,
+  html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input,
+  html.theme--documenter-dark .textarea {
+    transition: all 200ms ease;
+    box-shadow: none;
+    border-width: 1px;
+    padding-left: 1em;
+    padding-right: 1em; }
+  html.theme--documenter-dark .select:after,
+  html.theme--documenter-dark .select select {
+    border-width: 1px; }
+  html.theme--documenter-dark .control.has-addons .button,
+  html.theme--documenter-dark .control.has-addons .input,
+  html.theme--documenter-dark .control.has-addons #documenter .docs-sidebar form.docs-search > input,
+  html.theme--documenter-dark #documenter .docs-sidebar .control.has-addons form.docs-search > input,
+  html.theme--documenter-dark .control.has-addons .select {
+    margin-right: -1px; }
+  html.theme--documenter-dark .notification {
+    background-color: #343c3d; }
+  html.theme--documenter-dark .card {
+    box-shadow: none;
+    border: 1px solid #343c3d;
+    background-color: #282f2f;
+    border-radius: 0.4em; }
+    html.theme--documenter-dark .card .card-image img {
+      border-radius: 0.4em 0.4em 0 0; }
+    html.theme--documenter-dark .card .card-header {
+      box-shadow: none;
+      background-color: rgba(18, 18, 18, 0.2);
+      border-radius: 0.4em 0.4em 0 0; }
+    html.theme--documenter-dark .card .card-footer {
+      background-color: rgba(18, 18, 18, 0.2); }
+    html.theme--documenter-dark .card .card-footer,
+    html.theme--documenter-dark .card .card-footer-item {
+      border-width: 1px;
+      border-color: #343c3d; }
+  html.theme--documenter-dark .notification.is-white a:not(.button) {
+    color: #0a0a0a;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-black a:not(.button) {
+    color: white;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-light a:not(.button) {
+    color: #282f2f;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-dark a:not(.button), html.theme--documenter-dark .content kbd.notification a:not(.button) {
+    color: #ecf0f1;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-primary a:not(.button), html.theme--documenter-dark .docstring > section > a.notification.docs-sourcelink a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-link a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-info a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-success a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-warning a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-danger a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .tag, html.theme--documenter-dark .docstring > section > a.docs-sourcelink, html.theme--documenter-dark .content kbd {
+    border-radius: 0.4em; }
+  html.theme--documenter-dark .menu-list a {
+    transition: all 300ms ease; }
+  html.theme--documenter-dark .modal-card-body {
+    background-color: #282f2f; }
+  html.theme--documenter-dark .modal-card-foot,
+  html.theme--documenter-dark .modal-card-head {
+    border-color: #343c3d; }
+  html.theme--documenter-dark .message-header {
+    font-weight: 700;
+    background-color: #343c3d;
+    color: white; }
+  html.theme--documenter-dark .message-body {
+    border-width: 1px;
+    border-color: #343c3d; }
+  html.theme--documenter-dark .navbar {
+    border-radius: 0.4em; }
+    html.theme--documenter-dark .navbar.is-transparent {
+      background: none; }
+    html.theme--documenter-dark .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active {
+      background-color: #1abc9c; }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .navbar .navbar-menu {
+        background-color: #375a7f;
+        border-radius: 0 0 0.4em 0.4em; } }
+  html.theme--documenter-dark .hero .navbar,
+  html.theme--documenter-dark body > .navbar {
+    border-radius: 0; }
+  html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-previous {
+    border-width: 1px; }
+  html.theme--documenter-dark .panel-block,
+  html.theme--documenter-dark .panel-heading,
+  html.theme--documenter-dark .panel-tabs {
+    border-width: 1px; }
+    html.theme--documenter-dark .panel-block:first-child,
+    html.theme--documenter-dark .panel-heading:first-child,
+    html.theme--documenter-dark .panel-tabs:first-child {
+      border-top-width: 1px; }
+  html.theme--documenter-dark .panel-heading {
+    font-weight: 700; }
+  html.theme--documenter-dark .panel-tabs a {
+    border-width: 1px;
+    margin-bottom: -1px; }
+    html.theme--documenter-dark .panel-tabs a.is-active {
+      border-bottom-color: #17a689; }
+  html.theme--documenter-dark .panel-block:hover {
+    color: #1dd2af; }
+    html.theme--documenter-dark .panel-block:hover .panel-icon {
+      color: #1dd2af; }
+  html.theme--documenter-dark .panel-block.is-active .panel-icon {
+    color: #17a689; }
+  html.theme--documenter-dark .tabs a {
+    border-bottom-width: 1px;
+    margin-bottom: -1px; }
+  html.theme--documenter-dark .tabs ul {
+    border-bottom-width: 1px; }
+  html.theme--documenter-dark .tabs.is-boxed a {
+    border-width: 1px; }
+  html.theme--documenter-dark .tabs.is-boxed li.is-active a {
+    background-color: #1f2424; }
+  html.theme--documenter-dark .tabs.is-toggle li a {
+    border-width: 1px;
+    margin-bottom: 0; }
+  html.theme--documenter-dark .tabs.is-toggle li + li {
+    margin-left: -1px; }
+  html.theme--documenter-dark .hero.is-white .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-black .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-light .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-dark .navbar .navbar-dropdown .navbar-item:hover, html.theme--documenter-dark .content kbd.hero .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-primary .navbar .navbar-dropdown .navbar-item:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-link .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-info .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-success .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-warning .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-danger .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark h1 .docs-heading-anchor, html.theme--documenter-dark h1 .docs-heading-anchor:hover, html.theme--documenter-dark h1 .docs-heading-anchor:visited, html.theme--documenter-dark h2 .docs-heading-anchor, html.theme--documenter-dark h2 .docs-heading-anchor:hover, html.theme--documenter-dark h2 .docs-heading-anchor:visited, html.theme--documenter-dark h3 .docs-heading-anchor, html.theme--documenter-dark h3 .docs-heading-anchor:hover, html.theme--documenter-dark h3 .docs-heading-anchor:visited, html.theme--documenter-dark h4 .docs-heading-anchor, html.theme--documenter-dark h4 .docs-heading-anchor:hover, html.theme--documenter-dark h4 .docs-heading-anchor:visited, html.theme--documenter-dark h5 .docs-heading-anchor, html.theme--documenter-dark h5 .docs-heading-anchor:hover, html.theme--documenter-dark h5 .docs-heading-anchor:visited, html.theme--documenter-dark h6 .docs-heading-anchor, html.theme--documenter-dark h6 .docs-heading-anchor:hover, html.theme--documenter-dark h6 .docs-heading-anchor:visited {
+    color: #f2f2f2; }
+  html.theme--documenter-dark h1 .docs-heading-anchor-permalink, html.theme--documenter-dark h2 .docs-heading-anchor-permalink, html.theme--documenter-dark h3 .docs-heading-anchor-permalink, html.theme--documenter-dark h4 .docs-heading-anchor-permalink, html.theme--documenter-dark h5 .docs-heading-anchor-permalink, html.theme--documenter-dark h6 .docs-heading-anchor-permalink {
+    visibility: hidden;
+    vertical-align: middle;
+    margin-left: 0.5em;
+    font-size: 0.7rem; }
+    html.theme--documenter-dark h1 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h2 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h3 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h4 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h5 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h6 .docs-heading-anchor-permalink::before {
+      font-family: "Font Awesome 5 Free";
+      font-weight: 900;
+      content: "\f0c1"; }
+  html.theme--documenter-dark h1:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h2:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h3:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h4:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h5:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h6:hover .docs-heading-anchor-permalink {
+    visibility: visible; }
+  html.theme--documenter-dark .docs-light-only {
+    display: none !important; }
+  html.theme--documenter-dark .admonition {
+    background-color: #282f2f;
+    border-style: solid;
+    border-width: 1px;
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    font-size: 15px; }
+    html.theme--documenter-dark .admonition strong {
+      color: currentColor; }
+    html.theme--documenter-dark .admonition.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.admonition {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .admonition.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .admonition.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .admonition.is-default {
+      background-color: #282f2f;
+      border-color: #5e6d6f; }
+      html.theme--documenter-dark .admonition.is-default > .admonition-header {
+        background-color: #5e6d6f; }
+    html.theme--documenter-dark .admonition.is-info {
+      background-color: #282f2f;
+      border-color: #024c7d; }
+      html.theme--documenter-dark .admonition.is-info > .admonition-header {
+        background-color: #024c7d; }
+    html.theme--documenter-dark .admonition.is-success {
+      background-color: #282f2f;
+      border-color: #008438; }
+      html.theme--documenter-dark .admonition.is-success > .admonition-header {
+        background-color: #008438; }
+    html.theme--documenter-dark .admonition.is-warning {
+      background-color: #282f2f;
+      border-color: #ad8100; }
+      html.theme--documenter-dark .admonition.is-warning > .admonition-header {
+        background-color: #ad8100; }
+    html.theme--documenter-dark .admonition.is-danger {
+      background-color: #282f2f;
+      border-color: #9e1b0d; }
+      html.theme--documenter-dark .admonition.is-danger > .admonition-header {
+        background-color: #9e1b0d; }
+    html.theme--documenter-dark .admonition.is-compat {
+      background-color: #282f2f;
+      border-color: #137886; }
+      html.theme--documenter-dark .admonition.is-compat > .admonition-header {
+        background-color: #137886; }
+  html.theme--documenter-dark .admonition-header {
+    background-color: #5e6d6f;
+    align-items: center;
+    font-weight: 700;
+    justify-content: space-between;
+    line-height: 1.25;
+    padding: 0.75em;
+    position: relative; }
+    html.theme--documenter-dark .admonition-header:before {
+      font-family: "Font Awesome 5 Free";
+      font-weight: 900;
+      margin-right: 0.75em;
+      content: "\f06a"; }
+  html.theme--documenter-dark .admonition-body {
+    color: #fff;
+    padding: 1em 1.25em; }
+    html.theme--documenter-dark .admonition-body pre {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .admonition-body code {
+      background-color: rgba(255, 255, 255, 0.05); }
+  html.theme--documenter-dark .docstring {
+    margin-bottom: 1em;
+    background-color: transparent;
+    border: 1px solid #5e6d6f;
+    box-shadow: none;
+    max-width: 100%; }
+    html.theme--documenter-dark .docstring > header {
+      display: flex;
+      flex-grow: 1;
+      align-items: stretch;
+      padding: 0.75rem;
+      background-color: #282f2f;
+      box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+      box-shadow: none;
+      border-bottom: 1px solid #5e6d6f; }
+      html.theme--documenter-dark .docstring > header code {
+        background-color: transparent; }
+      html.theme--documenter-dark .docstring > header .docstring-binding {
+        margin-right: 0.3em; }
+      html.theme--documenter-dark .docstring > header .docstring-category {
+        margin-left: 0.3em; }
+    html.theme--documenter-dark .docstring > section {
+      position: relative;
+      padding: 1rem 1.25rem;
+      border-bottom: 1px solid #5e6d6f; }
+      html.theme--documenter-dark .docstring > section:last-child {
+        border-bottom: none; }
+      html.theme--documenter-dark .docstring > section > a.docs-sourcelink {
+        transition: opacity 0.3s;
+        opacity: 0;
+        position: absolute;
+        right: 0.625rem;
+        bottom: 0.5rem; }
+    html.theme--documenter-dark .docstring:hover > section > a.docs-sourcelink {
+      opacity: 0.2; }
+    html.theme--documenter-dark .docstring > section:hover a.docs-sourcelink {
+      opacity: 1; }
+  html.theme--documenter-dark .documenter-example-output {
+    background-color: #1f2424; }
+  html.theme--documenter-dark .content pre {
+    border: 1px solid #5e6d6f; }
+  html.theme--documenter-dark .content code {
+    font-weight: inherit; }
+  html.theme--documenter-dark .content a code {
+    color: #1abc9c; }
+  html.theme--documenter-dark .content h1 code, html.theme--documenter-dark .content h2 code, html.theme--documenter-dark .content h3 code, html.theme--documenter-dark .content h4 code, html.theme--documenter-dark .content h5 code, html.theme--documenter-dark .content h6 code {
+    color: #f2f2f2; }
+  html.theme--documenter-dark .content table {
+    display: block;
+    width: initial;
+    max-width: 100%;
+    overflow-x: auto; }
+  html.theme--documenter-dark .content blockquote > ul:first-child, html.theme--documenter-dark .content blockquote > ol:first-child, html.theme--documenter-dark .content .admonition-body > ul:first-child, html.theme--documenter-dark .content .admonition-body > ol:first-child {
+    margin-top: 0; }
+  html.theme--documenter-dark .breadcrumb a.is-disabled {
+    cursor: default;
+    pointer-events: none; }
+    html.theme--documenter-dark .breadcrumb a.is-disabled, html.theme--documenter-dark .breadcrumb a.is-disabled:hover {
+      color: #f2f2f2; }
+  html.theme--documenter-dark .hljs {
+    background: initial !important;
+    padding: initial !important; }
+  html.theme--documenter-dark .katex .katex-mathml {
+    top: 0;
+    right: 0; }
+  html.theme--documenter-dark .katex-display, html.theme--documenter-dark mjx-container, html.theme--documenter-dark .MathJax_Display {
+    margin: 0.5em 0 !important; }
+  html.theme--documenter-dark html {
+    -moz-osx-font-smoothing: auto;
+    -webkit-font-smoothing: auto; }
+  html.theme--documenter-dark #documenter .docs-main > article {
+    overflow-wrap: break-word; }
+    html.theme--documenter-dark #documenter .docs-main > article .math-container {
+      overflow-x: auto; }
+  @media screen and (min-width: 1056px) {
+    html.theme--documenter-dark #documenter .docs-main {
+      max-width: 52rem;
+      margin-left: 20rem;
+      padding-right: 1rem; } }
+  @media screen and (max-width: 1055px) {
+    html.theme--documenter-dark #documenter .docs-main {
+      width: 100%; }
+      html.theme--documenter-dark #documenter .docs-main > article {
+        max-width: 52rem;
+        margin-left: auto;
+        margin-right: auto;
+        margin-bottom: 1rem;
+        padding: 0 1rem; }
+      html.theme--documenter-dark #documenter .docs-main > header, html.theme--documenter-dark #documenter .docs-main > nav {
+        max-width: 100%;
+        width: 100%;
+        margin: 0; } }
+  html.theme--documenter-dark #documenter .docs-main header.docs-navbar {
+    background-color: #1f2424;
+    border-bottom: 1px solid #5e6d6f;
+    z-index: 2;
+    min-height: 4rem;
+    margin-bottom: 1rem;
+    display: flex; }
+    html.theme--documenter-dark #documenter .docs-main header.docs-navbar .breadcrumb {
+      flex-grow: 1; }
+    html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right {
+      display: flex;
+      white-space: nowrap; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-icon, html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-label, html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+        display: inline-block; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-label {
+        padding: 0;
+        margin-left: 0.3em; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-settings-button {
+        margin: auto 0 auto 1rem; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+        font-size: 1.5rem;
+        margin: auto 0 auto 1rem; }
+    html.theme--documenter-dark #documenter .docs-main header.docs-navbar > * {
+      margin: auto 0; }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar {
+        position: sticky;
+        top: 0;
+        padding: 0 1rem;
+        /* For Headroom.js */
+        transition-property: top, box-shadow;
+        -webkit-transition-property: top, box-shadow;
+        /* Safari */
+        transition-duration: 0.3s;
+        -webkit-transition-duration: 0.3s;
+        /* Safari */ }
+        html.theme--documenter-dark #documenter .docs-main header.docs-navbar.headroom--not-top {
+          box-shadow: 0.2rem 0rem 0.4rem #171717;
+          transition-duration: 0.7s;
+          -webkit-transition-duration: 0.7s;
+          /* Safari */ }
+        html.theme--documenter-dark #documenter .docs-main header.docs-navbar.headroom--unpinned.headroom--not-top.headroom--not-bottom {
+          top: -4.5rem;
+          transition-duration: 0.7s;
+          -webkit-transition-duration: 0.7s;
+          /* Safari */ } }
+  html.theme--documenter-dark #documenter .docs-main section.footnotes {
+    border-top: 1px solid #5e6d6f; }
+    html.theme--documenter-dark #documenter .docs-main section.footnotes li .tag:first-child, html.theme--documenter-dark #documenter .docs-main section.footnotes li .docstring > section > a.docs-sourcelink:first-child, html.theme--documenter-dark #documenter .docs-main section.footnotes li .content kbd:first-child, html.theme--documenter-dark .content #documenter .docs-main section.footnotes li kbd:first-child {
+      margin-right: 1em;
+      margin-bottom: 0.4em; }
+  html.theme--documenter-dark #documenter .docs-main .docs-footer {
+    display: flex;
+    flex-wrap: wrap;
+    margin-left: 0;
+    margin-right: 0;
+    border-top: 1px solid #5e6d6f;
+    padding-top: 1rem;
+    padding-bottom: 1rem; }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark #documenter .docs-main .docs-footer {
+        padding-left: 1rem;
+        padding-right: 1rem; } }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-nextpage, html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-prevpage {
+      flex-grow: 1; }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-nextpage {
+      text-align: right; }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .flexbox-break {
+      flex-basis: 100%;
+      height: 0; }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .footer-message {
+      font-size: 0.8em;
+      margin: 0.5em auto 0 auto;
+      text-align: center; }
+  html.theme--documenter-dark #documenter .docs-sidebar {
+    display: flex;
+    flex-direction: column;
+    color: #fff;
+    background-color: #282f2f;
+    border-right: 1px solid #5e6d6f;
+    padding: 0;
+    flex: 0 0 18rem;
+    z-index: 5;
+    font-size: 15px;
+    position: fixed;
+    left: -18rem;
+    width: 18rem;
+    height: 100%;
+    transition: left 0.3s;
+    /* Setting up a nicer theme style for the scrollbar */ }
+    html.theme--documenter-dark #documenter .docs-sidebar.visible {
+      left: 0;
+      box-shadow: 0.4rem 0rem 0.8rem #171717; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark #documenter .docs-sidebar.visible {
+          box-shadow: none; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark #documenter .docs-sidebar {
+        left: 0;
+        top: 0; } }
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo {
+      margin-top: 1rem;
+      padding: 0 1rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img {
+        max-height: 6rem;
+        margin: auto; }
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name {
+      flex-shrink: 0;
+      font-size: 1.5rem;
+      font-weight: 700;
+      text-align: center;
+      white-space: nowrap;
+      overflow: hidden;
+      padding: 0.5rem 0; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name .docs-autofit {
+        max-width: 16.2rem; }
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-version-selector {
+      border-top: 1px solid #5e6d6f;
+      display: none;
+      padding: 0.5rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-version-selector.visible {
+        display: flex; }
+    html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu {
+      flex-grow: 1;
+      user-select: none;
+      border-top: 1px solid #5e6d6f;
+      padding-bottom: 1.5rem;
+      /* Managing collapsible submenus */ }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li > .tocitem {
+        font-weight: bold; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li li {
+        font-size: 14.25px;
+        margin-left: 1em;
+        border-left: 1px solid #5e6d6f; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input.collapse-toggle {
+        display: none; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.collapsed {
+        display: none; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input:checked ~ ul.collapsed {
+        display: block; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem {
+        display: flex; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-label {
+          flex-grow: 2; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron {
+          display: inline-block;
+          font-style: normal;
+          font-variant: normal;
+          text-rendering: auto;
+          line-height: 1;
+          font-size: 11.25px;
+          margin-left: 1rem;
+          margin-top: auto;
+          margin-bottom: auto; }
+          html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron::before {
+            font-family: "Font Awesome 5 Free";
+            font-weight: 900;
+            content: "\f054"; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input:checked ~ label.tocitem .docs-chevron::before {
+        content: "\f078"; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem {
+        display: block;
+        padding: 0.5rem 0.5rem; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem:hover {
+          color: #fff;
+          background: #282f2f; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu a.tocitem:hover, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem:hover {
+        color: #fff;
+        background-color: #32393a; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active {
+        border-top: 1px solid #5e6d6f;
+        border-bottom: 1px solid #5e6d6f;
+        background-color: #1f2424; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem:hover {
+          background-color: #1f2424;
+          color: #fff; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active ul.internal .tocitem:hover {
+          background-color: #32393a;
+          color: #fff; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li.is-active:first-child {
+        border-top: none; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal {
+        margin: 0 0.5rem 0.5rem;
+        border-top: 1px solid #5e6d6f; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal li {
+          font-size: 12.75px;
+          border-left: none;
+          margin-left: 0;
+          margin-top: 0.5rem; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem {
+          width: 100%;
+          padding: 0; }
+          html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem::before {
+            content: "⚬";
+            margin-right: 0.4em; }
+    html.theme--documenter-dark #documenter .docs-sidebar form.docs-search {
+      margin: auto;
+      margin-top: 0.5rem;
+      margin-bottom: 0.5rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+        width: 14.4rem; }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu {
+        overflow-y: auto;
+        -webkit-overflow-scroll: touch; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar {
+          width: .3rem;
+          background: none; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb {
+          border-radius: 5px 0px 0px 5px;
+          background: #3b4445; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb:hover {
+          background: #4e5a5c; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark #documenter .docs-sidebar {
+        overflow-y: auto;
+        -webkit-overflow-scroll: touch; }
+        html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar {
+          width: .3rem;
+          background: none; }
+        html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar-thumb {
+          border-radius: 5px 0px 0px 5px;
+          background: #3b4445; }
+        html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar-thumb:hover {
+          background: #4e5a5c; } }
+  html.theme--documenter-dark #documenter .docs-main #documenter-search-info {
+    margin-bottom: 1rem; }
+  html.theme--documenter-dark #documenter .docs-main #documenter-search-results {
+    list-style-type: circle;
+    list-style-position: outside; }
+    html.theme--documenter-dark #documenter .docs-main #documenter-search-results li {
+      margin-left: 2rem; }
+    html.theme--documenter-dark #documenter .docs-main #documenter-search-results .docs-highlight {
+      background-color: yellow; }
+  html.theme--documenter-dark {
+    background-color: #1f2424;
+    font-size: 16px;
+    min-width: 300px;
+    overflow-x: auto;
+    overflow-y: scroll;
+    text-rendering: optimizeLegibility;
+    text-size-adjust: 100%; }
+  html.theme--documenter-dark .hljs-comment,
+  html.theme--documenter-dark .hljs-quote {
+    color: #d4d0ab; }
+  html.theme--documenter-dark .hljs-variable,
+  html.theme--documenter-dark .hljs-template-variable,
+  html.theme--documenter-dark .hljs-tag,
+  html.theme--documenter-dark .hljs-name,
+  html.theme--documenter-dark .hljs-selector-id,
+  html.theme--documenter-dark .hljs-selector-class,
+  html.theme--documenter-dark .hljs-regexp,
+  html.theme--documenter-dark .hljs-deletion {
+    color: #ffa07a; }
+  html.theme--documenter-dark .hljs-number,
+  html.theme--documenter-dark .hljs-built_in,
+  html.theme--documenter-dark .hljs-builtin-name,
+  html.theme--documenter-dark .hljs-literal,
+  html.theme--documenter-dark .hljs-type,
+  html.theme--documenter-dark .hljs-params,
+  html.theme--documenter-dark .hljs-meta,
+  html.theme--documenter-dark .hljs-link {
+    color: #f5ab35; }
+  html.theme--documenter-dark .hljs-attribute {
+    color: #ffd700; }
+  html.theme--documenter-dark .hljs-string,
+  html.theme--documenter-dark .hljs-symbol,
+  html.theme--documenter-dark .hljs-bullet,
+  html.theme--documenter-dark .hljs-addition {
+    color: #abe338; }
+  html.theme--documenter-dark .hljs-title,
+  html.theme--documenter-dark .hljs-section {
+    color: #00e0e0; }
+  html.theme--documenter-dark .hljs-keyword,
+  html.theme--documenter-dark .hljs-selector-tag {
+    color: #dcc6e0; }
+  html.theme--documenter-dark .hljs {
+    display: block;
+    overflow-x: auto;
+    background: #2b2b2b;
+    color: #f8f8f2;
+    padding: 0.5em; }
+  html.theme--documenter-dark .hljs-emphasis {
+    font-style: italic; }
+  html.theme--documenter-dark .hljs-strong {
+    font-weight: bold; }
+  @media screen and (-ms-high-contrast: active) {
+    html.theme--documenter-dark .hljs-addition,
+    html.theme--documenter-dark .hljs-attribute,
+    html.theme--documenter-dark .hljs-built_in,
+    html.theme--documenter-dark .hljs-builtin-name,
+    html.theme--documenter-dark .hljs-bullet,
+    html.theme--documenter-dark .hljs-comment,
+    html.theme--documenter-dark .hljs-link,
+    html.theme--documenter-dark .hljs-literal,
+    html.theme--documenter-dark .hljs-meta,
+    html.theme--documenter-dark .hljs-number,
+    html.theme--documenter-dark .hljs-params,
+    html.theme--documenter-dark .hljs-string,
+    html.theme--documenter-dark .hljs-symbol,
+    html.theme--documenter-dark .hljs-type,
+    html.theme--documenter-dark .hljs-quote {
+      color: highlight; }
+    html.theme--documenter-dark .hljs-keyword,
+    html.theme--documenter-dark .hljs-selector-tag {
+      font-weight: bold; } }
+  html.theme--documenter-dark .hljs-subst {
+    color: #f8f8f2; }
diff --git a/v0.2.1/assets/themes/documenter-light.css b/v0.2.1/assets/themes/documenter-light.css
new file mode 100644
index 000000000..57fdf947d
--- /dev/null
+++ b/v0.2.1/assets/themes/documenter-light.css
@@ -0,0 +1,7630 @@
+@charset "UTF-8";
+/* Font Awesome 5 mixin. Can be included in any rule that should render Font Awesome icons. */
+@keyframes spinAround {
+  from {
+    transform: rotate(0deg); }
+  to {
+    transform: rotate(359deg); } }
+
+.delete, .modal-close, .is-unselectable, .button, .file, .breadcrumb, .pagination-previous,
+.pagination-next,
+.pagination-link,
+.pagination-ellipsis, .tabs {
+  -webkit-touch-callout: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  user-select: none; }
+
+.select:not(.is-multiple):not(.is-loading)::after, .navbar-link:not(.is-arrowless)::after {
+  border: 3px solid transparent;
+  border-radius: 2px;
+  border-right: 0;
+  border-top: 0;
+  content: " ";
+  display: block;
+  height: 0.625em;
+  margin-top: -0.4375em;
+  pointer-events: none;
+  position: absolute;
+  top: 50%;
+  transform: rotate(-45deg);
+  transform-origin: center;
+  width: 0.625em; }
+
+.box:not(:last-child), .content:not(:last-child), .notification:not(:last-child), .progress:not(:last-child), .table:not(:last-child), .table-container:not(:last-child), .title:not(:last-child),
+.subtitle:not(:last-child), .block:not(:last-child), .highlight:not(:last-child), .breadcrumb:not(:last-child), .level:not(:last-child), .list:not(:last-child), .message:not(:last-child), .tabs:not(:last-child), .admonition:not(:last-child) {
+  margin-bottom: 1.5rem; }
+
+.delete, .modal-close {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  background-color: rgba(10, 10, 10, 0.2);
+  border: none;
+  border-radius: 290486px;
+  cursor: pointer;
+  pointer-events: auto;
+  display: inline-block;
+  flex-grow: 0;
+  flex-shrink: 0;
+  font-size: 0;
+  height: 20px;
+  max-height: 20px;
+  max-width: 20px;
+  min-height: 20px;
+  min-width: 20px;
+  outline: none;
+  position: relative;
+  vertical-align: top;
+  width: 20px; }
+  .delete::before, .modal-close::before, .delete::after, .modal-close::after {
+    background-color: white;
+    content: "";
+    display: block;
+    left: 50%;
+    position: absolute;
+    top: 50%;
+    transform: translateX(-50%) translateY(-50%) rotate(45deg);
+    transform-origin: center center; }
+  .delete::before, .modal-close::before {
+    height: 2px;
+    width: 50%; }
+  .delete::after, .modal-close::after {
+    height: 50%;
+    width: 2px; }
+  .delete:hover, .modal-close:hover, .delete:focus, .modal-close:focus {
+    background-color: rgba(10, 10, 10, 0.3); }
+  .delete:active, .modal-close:active {
+    background-color: rgba(10, 10, 10, 0.4); }
+  .is-small.delete, #documenter .docs-sidebar form.docs-search > input.delete, .is-small.modal-close, #documenter .docs-sidebar form.docs-search > input.modal-close {
+    height: 16px;
+    max-height: 16px;
+    max-width: 16px;
+    min-height: 16px;
+    min-width: 16px;
+    width: 16px; }
+  .is-medium.delete, .is-medium.modal-close {
+    height: 24px;
+    max-height: 24px;
+    max-width: 24px;
+    min-height: 24px;
+    min-width: 24px;
+    width: 24px; }
+  .is-large.delete, .is-large.modal-close {
+    height: 32px;
+    max-height: 32px;
+    max-width: 32px;
+    min-height: 32px;
+    min-width: 32px;
+    width: 32px; }
+
+.button.is-loading::after, .loader, .select.is-loading::after, .control.is-loading::after {
+  animation: spinAround 500ms infinite linear;
+  border: 2px solid #dbdbdb;
+  border-radius: 290486px;
+  border-right-color: transparent;
+  border-top-color: transparent;
+  content: "";
+  display: block;
+  height: 1em;
+  position: relative;
+  width: 1em; }
+
+.is-overlay, .image.is-square img, #documenter .docs-sidebar .docs-logo > img.is-square img,
+.image.is-square .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, .image.is-1by1 img, #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+.image.is-1by1 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, .image.is-5by4 img, #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+.image.is-5by4 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, .image.is-4by3 img, #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+.image.is-4by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, .image.is-3by2 img, #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+.image.is-3by2 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, .image.is-5by3 img, #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+.image.is-5by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, .image.is-16by9 img, #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+.image.is-16by9 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, .image.is-2by1 img, #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+.image.is-2by1 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, .image.is-3by1 img, #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+.image.is-3by1 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, .image.is-4by5 img, #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+.image.is-4by5 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, .image.is-3by4 img, #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+.image.is-3by4 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, .image.is-2by3 img, #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+.image.is-2by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, .image.is-3by5 img, #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+.image.is-3by5 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, .image.is-9by16 img, #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+.image.is-9by16 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, .image.is-1by2 img, #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+.image.is-1by2 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, .image.is-1by3 img, #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+.image.is-1by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio, .modal, .modal-background, .hero-video {
+  bottom: 0;
+  left: 0;
+  position: absolute;
+  right: 0;
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+.pagination-link,
+.pagination-ellipsis {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  align-items: center;
+  border: 1px solid transparent;
+  border-radius: 4px;
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+  display: inline-flex;
+  font-size: 1rem;
+  height: 2.25em;
+  justify-content: flex-start;
+  line-height: 1.5;
+  padding-bottom: calc(0.375em - 1px);
+  padding-left: calc(0.625em - 1px);
+  padding-right: calc(0.625em - 1px);
+  padding-top: calc(0.375em - 1px);
+  position: relative;
+  vertical-align: top; }
+  .button:focus, .input:focus, #documenter .docs-sidebar form.docs-search > input:focus, .textarea:focus, .select select:focus, .file-cta:focus,
+  .file-name:focus, .pagination-previous:focus,
+  .pagination-next:focus,
+  .pagination-link:focus,
+  .pagination-ellipsis:focus, .is-focused.button, .is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-focused.textarea, .select select.is-focused, .is-focused.file-cta,
+  .is-focused.file-name, .is-focused.pagination-previous,
+  .is-focused.pagination-next,
+  .is-focused.pagination-link,
+  .is-focused.pagination-ellipsis, .button:active, .input:active, #documenter .docs-sidebar form.docs-search > input:active, .textarea:active, .select select:active, .file-cta:active,
+  .file-name:active, .pagination-previous:active,
+  .pagination-next:active,
+  .pagination-link:active,
+  .pagination-ellipsis:active, .is-active.button, .is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .is-active.textarea, .select select.is-active, .is-active.file-cta,
+  .is-active.file-name, .is-active.pagination-previous,
+  .is-active.pagination-next,
+  .is-active.pagination-link,
+  .is-active.pagination-ellipsis {
+    outline: none; }
+  .button[disabled], .input[disabled], #documenter .docs-sidebar form.docs-search > input[disabled], .textarea[disabled], .select select[disabled], .file-cta[disabled],
+  .file-name[disabled], .pagination-previous[disabled],
+  .pagination-next[disabled],
+  .pagination-link[disabled],
+  .pagination-ellipsis[disabled],
+  fieldset[disabled] .button,
+  fieldset[disabled] .input,
+  fieldset[disabled] #documenter .docs-sidebar form.docs-search > input,
+  #documenter .docs-sidebar fieldset[disabled] form.docs-search > input,
+  fieldset[disabled] .textarea,
+  fieldset[disabled] .select select,
+  .select fieldset[disabled] select,
+  fieldset[disabled] .file-cta,
+  fieldset[disabled] .file-name,
+  fieldset[disabled] .pagination-previous,
+  fieldset[disabled] .pagination-next,
+  fieldset[disabled] .pagination-link,
+  fieldset[disabled] .pagination-ellipsis {
+    cursor: not-allowed; }
+
+/*! minireset.css v0.0.4 | MIT License | github.com/jgthms/minireset.css */
+html,
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+
+@media screen and (min-width: 1056px) {
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+    text-align: left !important; } }
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+    text-align: left !important; } }
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+  .has-text-right-tablet {
+    text-align: right !important; } }
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+
+.has-text-white-bis {
+  color: #fafafa !important; }
+
+.has-background-white-bis {
+  background-color: #fafafa !important; }
+
+.has-text-weight-light {
+  font-weight: 300 !important; }
+
+.has-text-weight-normal {
+  font-weight: 400 !important; }
+
+.has-text-weight-medium {
+  font-weight: 500 !important; }
+
+.has-text-weight-semibold {
+  font-weight: 600 !important; }
+
+.has-text-weight-bold {
+  font-weight: 700 !important; }
+
+.is-family-primary {
+  font-family: "Lato", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-secondary {
+  font-family: "Lato", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-sans-serif {
+  font-family: "Lato", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-monospace {
+  font-family: "Roboto Mono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-family-code {
+  font-family: "Roboto Mono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-block {
+  display: block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-block-mobile {
+    display: block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-block-tablet {
+    display: block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-block-tablet-only {
+    display: block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-block-touch {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-block-desktop {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-block-desktop-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-block-widescreen {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-block-widescreen-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-block-fullhd {
+    display: block !important; } }
+
+.is-flex {
+  display: flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-flex-mobile {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-flex-tablet {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-flex-tablet-only {
+    display: flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-flex-touch {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-flex-desktop {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-flex-desktop-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-flex-widescreen {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-flex-widescreen-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-flex-fullhd {
+    display: flex !important; } }
+
+.is-inline {
+  display: inline !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-mobile {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-tablet {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-tablet-only {
+    display: inline !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-touch {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-desktop {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-desktop-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-widescreen {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-widescreen-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-fullhd {
+    display: inline !important; } }
+
+.is-inline-block {
+  display: inline-block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-block-mobile {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-block-tablet {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-block-tablet-only {
+    display: inline-block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-block-touch {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-block-desktop {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-block-desktop-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-block-widescreen {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-block-widescreen-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-block-fullhd {
+    display: inline-block !important; } }
+
+.is-inline-flex {
+  display: inline-flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-flex-mobile {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-flex-tablet {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-flex-tablet-only {
+    display: inline-flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-flex-touch {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-flex-desktop {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-flex-desktop-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-flex-widescreen {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-flex-widescreen-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-flex-fullhd {
+    display: inline-flex !important; } }
+
+.is-hidden {
+  display: none !important; }
+
+.is-sr-only {
+  border: none !important;
+  clip: rect(0, 0, 0, 0) !important;
+  height: 0.01em !important;
+  overflow: hidden !important;
+  padding: 0 !important;
+  position: absolute !important;
+  white-space: nowrap !important;
+  width: 0.01em !important; }
+
+@media screen and (max-width: 768px) {
+  .is-hidden-mobile {
+    display: none !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-hidden-tablet {
+    display: none !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-hidden-tablet-only {
+    display: none !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-hidden-touch {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-hidden-desktop {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-hidden-desktop-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-hidden-widescreen {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-hidden-widescreen-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-hidden-fullhd {
+    display: none !important; } }
+
+.is-invisible {
+  visibility: hidden !important; }
+
+@media screen and (max-width: 768px) {
+  .is-invisible-mobile {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-invisible-tablet {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-invisible-tablet-only {
+    visibility: hidden !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-invisible-touch {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-invisible-desktop {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-invisible-desktop-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-invisible-widescreen {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-invisible-widescreen-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-invisible-fullhd {
+    visibility: hidden !important; } }
+
+.is-marginless {
+  margin: 0 !important; }
+
+.is-paddingless {
+  padding: 0 !important; }
+
+.is-radiusless {
+  border-radius: 0 !important; }
+
+.is-shadowless {
+  box-shadow: none !important; }
+
+.is-relative {
+  position: relative !important; }
+
+.box {
+  background-color: white;
+  border-radius: 6px;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+  color: #222222;
+  display: block;
+  padding: 1.25rem; }
+
+a.box:hover, a.box:focus {
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px #2e63b8; }
+
+a.box:active {
+  box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2), 0 0 0 1px #2e63b8; }
+
+.button {
+  background-color: white;
+  border-color: #dbdbdb;
+  border-width: 1px;
+  color: #363636;
+  cursor: pointer;
+  justify-content: center;
+  padding-bottom: calc(0.375em - 1px);
+  padding-left: 0.75em;
+  padding-right: 0.75em;
+  padding-top: calc(0.375em - 1px);
+  text-align: center;
+  white-space: nowrap; }
+  .button strong {
+    color: inherit; }
+  .button .icon, .button .icon.is-small, .button #documenter .docs-sidebar form.docs-search > input.icon, #documenter .docs-sidebar .button form.docs-search > input.icon, .button .icon.is-medium, .button .icon.is-large {
+    height: 1.5em;
+    width: 1.5em; }
+  .button .icon:first-child:not(:last-child) {
+    margin-left: calc(-0.375em - 1px);
+    margin-right: 0.1875em; }
+  .button .icon:last-child:not(:first-child) {
+    margin-left: 0.1875em;
+    margin-right: calc(-0.375em - 1px); }
+  .button .icon:first-child:last-child {
+    margin-left: calc(-0.375em - 1px);
+    margin-right: calc(-0.375em - 1px); }
+  .button:hover, .button.is-hovered {
+    border-color: #b5b5b5;
+    color: #363636; }
+  .button:focus, .button.is-focused {
+    border-color: #2e63b8;
+    color: #363636; }
+    .button:focus:not(:active), .button.is-focused:not(:active) {
+      box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .button:active, .button.is-active {
+    border-color: #4a4a4a;
+    color: #363636; }
+  .button.is-text {
+    background-color: transparent;
+    border-color: transparent;
+    color: #222222;
+    text-decoration: underline; }
+    .button.is-text:hover, .button.is-text.is-hovered, .button.is-text:focus, .button.is-text.is-focused {
+      background-color: whitesmoke;
+      color: #222222; }
+    .button.is-text:active, .button.is-text.is-active {
+      background-color: #e8e8e8;
+      color: #222222; }
+    .button.is-text[disabled],
+    fieldset[disabled] .button.is-text {
+      background-color: transparent;
+      border-color: transparent;
+      box-shadow: none; }
+  .button.is-white {
+    background-color: white;
+    border-color: transparent;
+    color: #0a0a0a; }
+    .button.is-white:hover, .button.is-white.is-hovered {
+      background-color: #f9f9f9;
+      border-color: transparent;
+      color: #0a0a0a; }
+    .button.is-white:focus, .button.is-white.is-focused {
+      border-color: transparent;
+      color: #0a0a0a; }
+      .button.is-white:focus:not(:active), .button.is-white.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+    .button.is-white:active, .button.is-white.is-active {
+      background-color: #f2f2f2;
+      border-color: transparent;
+      color: #0a0a0a; }
+    .button.is-white[disabled],
+    fieldset[disabled] .button.is-white {
+      background-color: white;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-white.is-inverted {
+      background-color: #0a0a0a;
+      color: white; }
+      .button.is-white.is-inverted:hover, .button.is-white.is-inverted.is-hovered {
+        background-color: black; }
+      .button.is-white.is-inverted[disabled],
+      fieldset[disabled] .button.is-white.is-inverted {
+        background-color: #0a0a0a;
+        border-color: transparent;
+        box-shadow: none;
+        color: white; }
+    .button.is-white.is-loading::after {
+      border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+    .button.is-white.is-outlined {
+      background-color: transparent;
+      border-color: white;
+      color: white; }
+      .button.is-white.is-outlined:hover, .button.is-white.is-outlined.is-hovered, .button.is-white.is-outlined:focus, .button.is-white.is-outlined.is-focused {
+        background-color: white;
+        border-color: white;
+        color: #0a0a0a; }
+      .button.is-white.is-outlined.is-loading::after {
+        border-color: transparent transparent white white !important; }
+      .button.is-white.is-outlined.is-loading:hover::after, .button.is-white.is-outlined.is-loading.is-hovered::after, .button.is-white.is-outlined.is-loading:focus::after, .button.is-white.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      .button.is-white.is-outlined[disabled],
+      fieldset[disabled] .button.is-white.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        box-shadow: none;
+        color: white; }
+    .button.is-white.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #0a0a0a;
+      color: #0a0a0a; }
+      .button.is-white.is-inverted.is-outlined:hover, .button.is-white.is-inverted.is-outlined.is-hovered, .button.is-white.is-inverted.is-outlined:focus, .button.is-white.is-inverted.is-outlined.is-focused {
+        background-color: #0a0a0a;
+        color: white; }
+      .button.is-white.is-inverted.is-outlined.is-loading:hover::after, .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-white.is-inverted.is-outlined.is-loading:focus::after, .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent white white !important; }
+      .button.is-white.is-inverted.is-outlined[disabled],
+      fieldset[disabled] .button.is-white.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        box-shadow: none;
+        color: #0a0a0a; }
+  .button.is-black {
+    background-color: #0a0a0a;
+    border-color: transparent;
+    color: white; }
+    .button.is-black:hover, .button.is-black.is-hovered {
+      background-color: #040404;
+      border-color: transparent;
+      color: white; }
+    .button.is-black:focus, .button.is-black.is-focused {
+      border-color: transparent;
+      color: white; }
+      .button.is-black:focus:not(:active), .button.is-black.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+    .button.is-black:active, .button.is-black.is-active {
+      background-color: black;
+      border-color: transparent;
+      color: white; }
+    .button.is-black[disabled],
+    fieldset[disabled] .button.is-black {
+      background-color: #0a0a0a;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-black.is-inverted {
+      background-color: white;
+      color: #0a0a0a; }
+      .button.is-black.is-inverted:hover, .button.is-black.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-black.is-inverted[disabled],
+      fieldset[disabled] .button.is-black.is-inverted {
+        background-color: white;
+        border-color: transparent;
+        box-shadow: none;
+        color: #0a0a0a; }
+    .button.is-black.is-loading::after {
+      border-color: transparent transparent white white !important; }
+    .button.is-black.is-outlined {
+      background-color: transparent;
+      border-color: #0a0a0a;
+      color: #0a0a0a; }
+      .button.is-black.is-outlined:hover, .button.is-black.is-outlined.is-hovered, .button.is-black.is-outlined:focus, .button.is-black.is-outlined.is-focused {
+        background-color: #0a0a0a;
+        border-color: #0a0a0a;
+        color: white; }
+      .button.is-black.is-outlined.is-loading::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      .button.is-black.is-outlined.is-loading:hover::after, .button.is-black.is-outlined.is-loading.is-hovered::after, .button.is-black.is-outlined.is-loading:focus::after, .button.is-black.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent white white !important; }
+      .button.is-black.is-outlined[disabled],
+      fieldset[disabled] .button.is-black.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        box-shadow: none;
+        color: #0a0a0a; }
+    .button.is-black.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: white;
+      color: white; }
+      .button.is-black.is-inverted.is-outlined:hover, .button.is-black.is-inverted.is-outlined.is-hovered, .button.is-black.is-inverted.is-outlined:focus, .button.is-black.is-inverted.is-outlined.is-focused {
+        background-color: white;
+        color: #0a0a0a; }
+      .button.is-black.is-inverted.is-outlined.is-loading:hover::after, .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-black.is-inverted.is-outlined.is-loading:focus::after, .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      .button.is-black.is-inverted.is-outlined[disabled],
+      fieldset[disabled] .button.is-black.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        box-shadow: none;
+        color: white; }
+  .button.is-light {
+    background-color: whitesmoke;
+    border-color: transparent;
+    color: #363636; }
+    .button.is-light:hover, .button.is-light.is-hovered {
+      background-color: #eeeeee;
+      border-color: transparent;
+      color: #363636; }
+    .button.is-light:focus, .button.is-light.is-focused {
+      border-color: transparent;
+      color: #363636; }
+      .button.is-light:focus:not(:active), .button.is-light.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); }
+    .button.is-light:active, .button.is-light.is-active {
+      background-color: #e8e8e8;
+      border-color: transparent;
+      color: #363636; }
+    .button.is-light[disabled],
+    fieldset[disabled] .button.is-light {
+      background-color: whitesmoke;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-light.is-inverted {
+      background-color: #363636;
+      color: whitesmoke; }
+      .button.is-light.is-inverted:hover, .button.is-light.is-inverted.is-hovered {
+        background-color: #292929; }
+      .button.is-light.is-inverted[disabled],
+      fieldset[disabled] .button.is-light.is-inverted {
+        background-color: #363636;
+        border-color: transparent;
+        box-shadow: none;
+        color: whitesmoke; }
+    .button.is-light.is-loading::after {
+      border-color: transparent transparent #363636 #363636 !important; }
+    .button.is-light.is-outlined {
+      background-color: transparent;
+      border-color: whitesmoke;
+      color: whitesmoke; }
+      .button.is-light.is-outlined:hover, .button.is-light.is-outlined.is-hovered, .button.is-light.is-outlined:focus, .button.is-light.is-outlined.is-focused {
+        background-color: whitesmoke;
+        border-color: whitesmoke;
+        color: #363636; }
+      .button.is-light.is-outlined.is-loading::after {
+        border-color: transparent transparent whitesmoke whitesmoke !important; }
+      .button.is-light.is-outlined.is-loading:hover::after, .button.is-light.is-outlined.is-loading.is-hovered::after, .button.is-light.is-outlined.is-loading:focus::after, .button.is-light.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #363636 #363636 !important; }
+      .button.is-light.is-outlined[disabled],
+      fieldset[disabled] .button.is-light.is-outlined {
+        background-color: transparent;
+        border-color: whitesmoke;
+        box-shadow: none;
+        color: whitesmoke; }
+    .button.is-light.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #363636;
+      color: #363636; }
+      .button.is-light.is-inverted.is-outlined:hover, .button.is-light.is-inverted.is-outlined.is-hovered, .button.is-light.is-inverted.is-outlined:focus, .button.is-light.is-inverted.is-outlined.is-focused {
+        background-color: #363636;
+        color: whitesmoke; }
+      .button.is-light.is-inverted.is-outlined.is-loading:hover::after, .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-light.is-inverted.is-outlined.is-loading:focus::after, .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent whitesmoke whitesmoke !important; }
+      .button.is-light.is-inverted.is-outlined[disabled],
+      fieldset[disabled] .button.is-light.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #363636;
+        box-shadow: none;
+        color: #363636; }
+  .button.is-dark, .content kbd.button {
+    background-color: #363636;
+    border-color: transparent;
+    color: whitesmoke; }
+    .button.is-dark:hover, .content kbd.button:hover, .button.is-dark.is-hovered, .content kbd.button.is-hovered {
+      background-color: #2f2f2f;
+      border-color: transparent;
+      color: whitesmoke; }
+    .button.is-dark:focus, .content kbd.button:focus, .button.is-dark.is-focused, .content kbd.button.is-focused {
+      border-color: transparent;
+      color: whitesmoke; }
+      .button.is-dark:focus:not(:active), .content kbd.button:focus:not(:active), .button.is-dark.is-focused:not(:active), .content kbd.button.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); }
+    .button.is-dark:active, .content kbd.button:active, .button.is-dark.is-active, .content kbd.button.is-active {
+      background-color: #292929;
+      border-color: transparent;
+      color: whitesmoke; }
+    .button.is-dark[disabled], .content kbd.button[disabled],
+    fieldset[disabled] .button.is-dark,
+    fieldset[disabled] .content kbd.button,
+    .content fieldset[disabled] kbd.button {
+      background-color: #363636;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-dark.is-inverted, .content kbd.button.is-inverted {
+      background-color: whitesmoke;
+      color: #363636; }
+      .button.is-dark.is-inverted:hover, .content kbd.button.is-inverted:hover, .button.is-dark.is-inverted.is-hovered, .content kbd.button.is-inverted.is-hovered {
+        background-color: #e8e8e8; }
+      .button.is-dark.is-inverted[disabled], .content kbd.button.is-inverted[disabled],
+      fieldset[disabled] .button.is-dark.is-inverted,
+      fieldset[disabled] .content kbd.button.is-inverted,
+      .content fieldset[disabled] kbd.button.is-inverted {
+        background-color: whitesmoke;
+        border-color: transparent;
+        box-shadow: none;
+        color: #363636; }
+    .button.is-dark.is-loading::after, .content kbd.button.is-loading::after {
+      border-color: transparent transparent whitesmoke whitesmoke !important; }
+    .button.is-dark.is-outlined, .content kbd.button.is-outlined {
+      background-color: transparent;
+      border-color: #363636;
+      color: #363636; }
+      .button.is-dark.is-outlined:hover, .content kbd.button.is-outlined:hover, .button.is-dark.is-outlined.is-hovered, .content kbd.button.is-outlined.is-hovered, .button.is-dark.is-outlined:focus, .content kbd.button.is-outlined:focus, .button.is-dark.is-outlined.is-focused, .content kbd.button.is-outlined.is-focused {
+        background-color: #363636;
+        border-color: #363636;
+        color: whitesmoke; }
+      .button.is-dark.is-outlined.is-loading::after, .content kbd.button.is-outlined.is-loading::after {
+        border-color: transparent transparent #363636 #363636 !important; }
+      .button.is-dark.is-outlined.is-loading:hover::after, .content kbd.button.is-outlined.is-loading:hover::after, .button.is-dark.is-outlined.is-loading.is-hovered::after, .content kbd.button.is-outlined.is-loading.is-hovered::after, .button.is-dark.is-outlined.is-loading:focus::after, .content kbd.button.is-outlined.is-loading:focus::after, .button.is-dark.is-outlined.is-loading.is-focused::after, .content kbd.button.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent whitesmoke whitesmoke !important; }
+      .button.is-dark.is-outlined[disabled], .content kbd.button.is-outlined[disabled],
+      fieldset[disabled] .button.is-dark.is-outlined,
+      fieldset[disabled] .content kbd.button.is-outlined,
+      .content fieldset[disabled] kbd.button.is-outlined {
+        background-color: transparent;
+        border-color: #363636;
+        box-shadow: none;
+        color: #363636; }
+    .button.is-dark.is-inverted.is-outlined, .content kbd.button.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: whitesmoke;
+      color: whitesmoke; }
+      .button.is-dark.is-inverted.is-outlined:hover, .content kbd.button.is-inverted.is-outlined:hover, .button.is-dark.is-inverted.is-outlined.is-hovered, .content kbd.button.is-inverted.is-outlined.is-hovered, .button.is-dark.is-inverted.is-outlined:focus, .content kbd.button.is-inverted.is-outlined:focus, .button.is-dark.is-inverted.is-outlined.is-focused, .content kbd.button.is-inverted.is-outlined.is-focused {
+        background-color: whitesmoke;
+        color: #363636; }
+      .button.is-dark.is-inverted.is-outlined.is-loading:hover::after, .content kbd.button.is-inverted.is-outlined.is-loading:hover::after, .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after, .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-dark.is-inverted.is-outlined.is-loading:focus::after, .content kbd.button.is-inverted.is-outlined.is-loading:focus::after, .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after, .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #363636 #363636 !important; }
+      .button.is-dark.is-inverted.is-outlined[disabled], .content kbd.button.is-inverted.is-outlined[disabled],
+      fieldset[disabled] .button.is-dark.is-inverted.is-outlined,
+      fieldset[disabled] .content kbd.button.is-inverted.is-outlined,
+      .content fieldset[disabled] kbd.button.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: whitesmoke;
+        box-shadow: none;
+        color: whitesmoke; }
+  .button.is-primary, .docstring > section > a.button.docs-sourcelink {
+    background-color: #4eb5de;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-primary:hover, .docstring > section > a.button.docs-sourcelink:hover, .button.is-primary.is-hovered, .docstring > section > a.button.is-hovered.docs-sourcelink {
+      background-color: #43b1dc;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-primary:focus, .docstring > section > a.button.docs-sourcelink:focus, .button.is-primary.is-focused, .docstring > section > a.button.is-focused.docs-sourcelink {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-primary:focus:not(:active), .docstring > section > a.button.docs-sourcelink:focus:not(:active), .button.is-primary.is-focused:not(:active), .docstring > section > a.button.is-focused.docs-sourcelink:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); }
+    .button.is-primary:active, .docstring > section > a.button.docs-sourcelink:active, .button.is-primary.is-active, .docstring > section > a.button.is-active.docs-sourcelink {
+      background-color: #39acda;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-primary[disabled], .docstring > section > a.button.docs-sourcelink[disabled],
+    fieldset[disabled] .button.is-primary,
+    fieldset[disabled] .docstring > section > a.button.docs-sourcelink {
+      background-color: #4eb5de;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-primary.is-inverted, .docstring > section > a.button.is-inverted.docs-sourcelink {
+      background-color: #fff;
+      color: #4eb5de; }
+      .button.is-primary.is-inverted:hover, .docstring > section > a.button.is-inverted.docs-sourcelink:hover, .button.is-primary.is-inverted.is-hovered, .docstring > section > a.button.is-inverted.is-hovered.docs-sourcelink {
+        background-color: #f2f2f2; }
+      .button.is-primary.is-inverted[disabled], .docstring > section > a.button.is-inverted.docs-sourcelink[disabled],
+      fieldset[disabled] .button.is-primary.is-inverted,
+      fieldset[disabled] .docstring > section > a.button.is-inverted.docs-sourcelink {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #4eb5de; }
+    .button.is-primary.is-loading::after, .docstring > section > a.button.is-loading.docs-sourcelink::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-primary.is-outlined, .docstring > section > a.button.is-outlined.docs-sourcelink {
+      background-color: transparent;
+      border-color: #4eb5de;
+      color: #4eb5de; }
+      .button.is-primary.is-outlined:hover, .docstring > section > a.button.is-outlined.docs-sourcelink:hover, .button.is-primary.is-outlined.is-hovered, .docstring > section > a.button.is-outlined.is-hovered.docs-sourcelink, .button.is-primary.is-outlined:focus, .docstring > section > a.button.is-outlined.docs-sourcelink:focus, .button.is-primary.is-outlined.is-focused, .docstring > section > a.button.is-outlined.is-focused.docs-sourcelink {
+        background-color: #4eb5de;
+        border-color: #4eb5de;
+        color: #fff; }
+      .button.is-primary.is-outlined.is-loading::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink::after {
+        border-color: transparent transparent #4eb5de #4eb5de !important; }
+      .button.is-primary.is-outlined.is-loading:hover::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:hover::after, .button.is-primary.is-outlined.is-loading.is-hovered::after, .docstring > section > a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after, .button.is-primary.is-outlined.is-loading:focus::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:focus::after, .button.is-primary.is-outlined.is-loading.is-focused::after, .docstring > section > a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-primary.is-outlined[disabled], .docstring > section > a.button.is-outlined.docs-sourcelink[disabled],
+      fieldset[disabled] .button.is-primary.is-outlined,
+      fieldset[disabled] .docstring > section > a.button.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #4eb5de;
+        box-shadow: none;
+        color: #4eb5de; }
+    .button.is-primary.is-inverted.is-outlined, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-primary.is-inverted.is-outlined:hover, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:hover, .button.is-primary.is-inverted.is-outlined.is-hovered, .docstring > section > a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink, .button.is-primary.is-inverted.is-outlined:focus, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:focus, .button.is-primary.is-inverted.is-outlined.is-focused, .docstring > section > a.button.is-inverted.is-outlined.is-focused.docs-sourcelink {
+        background-color: #fff;
+        color: #4eb5de; }
+      .button.is-primary.is-inverted.is-outlined.is-loading:hover::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after, .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after, .button.is-primary.is-inverted.is-outlined.is-loading:focus::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after, .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+        border-color: transparent transparent #4eb5de #4eb5de !important; }
+      .button.is-primary.is-inverted.is-outlined[disabled], .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink[disabled],
+      fieldset[disabled] .button.is-primary.is-inverted.is-outlined,
+      fieldset[disabled] .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-link {
+    background-color: #2e63b8;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-link:hover, .button.is-link.is-hovered {
+      background-color: #2b5eae;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-link:focus, .button.is-link.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-link:focus:not(:active), .button.is-link.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+    .button.is-link:active, .button.is-link.is-active {
+      background-color: #2958a4;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-link[disabled],
+    fieldset[disabled] .button.is-link {
+      background-color: #2e63b8;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-link.is-inverted {
+      background-color: #fff;
+      color: #2e63b8; }
+      .button.is-link.is-inverted:hover, .button.is-link.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-link.is-inverted[disabled],
+      fieldset[disabled] .button.is-link.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #2e63b8; }
+    .button.is-link.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-link.is-outlined {
+      background-color: transparent;
+      border-color: #2e63b8;
+      color: #2e63b8; }
+      .button.is-link.is-outlined:hover, .button.is-link.is-outlined.is-hovered, .button.is-link.is-outlined:focus, .button.is-link.is-outlined.is-focused {
+        background-color: #2e63b8;
+        border-color: #2e63b8;
+        color: #fff; }
+      .button.is-link.is-outlined.is-loading::after {
+        border-color: transparent transparent #2e63b8 #2e63b8 !important; }
+      .button.is-link.is-outlined.is-loading:hover::after, .button.is-link.is-outlined.is-loading.is-hovered::after, .button.is-link.is-outlined.is-loading:focus::after, .button.is-link.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-link.is-outlined[disabled],
+      fieldset[disabled] .button.is-link.is-outlined {
+        background-color: transparent;
+        border-color: #2e63b8;
+        box-shadow: none;
+        color: #2e63b8; }
+    .button.is-link.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-link.is-inverted.is-outlined:hover, .button.is-link.is-inverted.is-outlined.is-hovered, .button.is-link.is-inverted.is-outlined:focus, .button.is-link.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #2e63b8; }
+      .button.is-link.is-inverted.is-outlined.is-loading:hover::after, .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-link.is-inverted.is-outlined.is-loading:focus::after, .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #2e63b8 #2e63b8 !important; }
+      .button.is-link.is-inverted.is-outlined[disabled],
+      fieldset[disabled] .button.is-link.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-info {
+    background-color: #209cee;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-info:hover, .button.is-info.is-hovered {
+      background-color: #1496ed;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-info:focus, .button.is-info.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-info:focus:not(:active), .button.is-info.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); }
+    .button.is-info:active, .button.is-info.is-active {
+      background-color: #118fe4;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-info[disabled],
+    fieldset[disabled] .button.is-info {
+      background-color: #209cee;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-info.is-inverted {
+      background-color: #fff;
+      color: #209cee; }
+      .button.is-info.is-inverted:hover, .button.is-info.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-info.is-inverted[disabled],
+      fieldset[disabled] .button.is-info.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #209cee; }
+    .button.is-info.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-info.is-outlined {
+      background-color: transparent;
+      border-color: #209cee;
+      color: #209cee; }
+      .button.is-info.is-outlined:hover, .button.is-info.is-outlined.is-hovered, .button.is-info.is-outlined:focus, .button.is-info.is-outlined.is-focused {
+        background-color: #209cee;
+        border-color: #209cee;
+        color: #fff; }
+      .button.is-info.is-outlined.is-loading::after {
+        border-color: transparent transparent #209cee #209cee !important; }
+      .button.is-info.is-outlined.is-loading:hover::after, .button.is-info.is-outlined.is-loading.is-hovered::after, .button.is-info.is-outlined.is-loading:focus::after, .button.is-info.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-info.is-outlined[disabled],
+      fieldset[disabled] .button.is-info.is-outlined {
+        background-color: transparent;
+        border-color: #209cee;
+        box-shadow: none;
+        color: #209cee; }
+    .button.is-info.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-info.is-inverted.is-outlined:hover, .button.is-info.is-inverted.is-outlined.is-hovered, .button.is-info.is-inverted.is-outlined:focus, .button.is-info.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #209cee; }
+      .button.is-info.is-inverted.is-outlined.is-loading:hover::after, .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-info.is-inverted.is-outlined.is-loading:focus::after, .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #209cee #209cee !important; }
+      .button.is-info.is-inverted.is-outlined[disabled],
+      fieldset[disabled] .button.is-info.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-success {
+    background-color: #22c35b;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-success:hover, .button.is-success.is-hovered {
+      background-color: #20b856;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-success:focus, .button.is-success.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-success:focus:not(:active), .button.is-success.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); }
+    .button.is-success:active, .button.is-success.is-active {
+      background-color: #1ead51;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-success[disabled],
+    fieldset[disabled] .button.is-success {
+      background-color: #22c35b;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-success.is-inverted {
+      background-color: #fff;
+      color: #22c35b; }
+      .button.is-success.is-inverted:hover, .button.is-success.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-success.is-inverted[disabled],
+      fieldset[disabled] .button.is-success.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #22c35b; }
+    .button.is-success.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-success.is-outlined {
+      background-color: transparent;
+      border-color: #22c35b;
+      color: #22c35b; }
+      .button.is-success.is-outlined:hover, .button.is-success.is-outlined.is-hovered, .button.is-success.is-outlined:focus, .button.is-success.is-outlined.is-focused {
+        background-color: #22c35b;
+        border-color: #22c35b;
+        color: #fff; }
+      .button.is-success.is-outlined.is-loading::after {
+        border-color: transparent transparent #22c35b #22c35b !important; }
+      .button.is-success.is-outlined.is-loading:hover::after, .button.is-success.is-outlined.is-loading.is-hovered::after, .button.is-success.is-outlined.is-loading:focus::after, .button.is-success.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-success.is-outlined[disabled],
+      fieldset[disabled] .button.is-success.is-outlined {
+        background-color: transparent;
+        border-color: #22c35b;
+        box-shadow: none;
+        color: #22c35b; }
+    .button.is-success.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-success.is-inverted.is-outlined:hover, .button.is-success.is-inverted.is-outlined.is-hovered, .button.is-success.is-inverted.is-outlined:focus, .button.is-success.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #22c35b; }
+      .button.is-success.is-inverted.is-outlined.is-loading:hover::after, .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-success.is-inverted.is-outlined.is-loading:focus::after, .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #22c35b #22c35b !important; }
+      .button.is-success.is-inverted.is-outlined[disabled],
+      fieldset[disabled] .button.is-success.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-warning {
+    background-color: #ffdd57;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+    .button.is-warning:hover, .button.is-warning.is-hovered {
+      background-color: #ffdb4a;
+      border-color: transparent;
+      color: rgba(0, 0, 0, 0.7); }
+    .button.is-warning:focus, .button.is-warning.is-focused {
+      border-color: transparent;
+      color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning:focus:not(:active), .button.is-warning.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); }
+    .button.is-warning:active, .button.is-warning.is-active {
+      background-color: #ffd83d;
+      border-color: transparent;
+      color: rgba(0, 0, 0, 0.7); }
+    .button.is-warning[disabled],
+    fieldset[disabled] .button.is-warning {
+      background-color: #ffdd57;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-warning.is-inverted {
+      background-color: rgba(0, 0, 0, 0.7);
+      color: #ffdd57; }
+      .button.is-warning.is-inverted:hover, .button.is-warning.is-inverted.is-hovered {
+        background-color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning.is-inverted[disabled],
+      fieldset[disabled] .button.is-warning.is-inverted {
+        background-color: rgba(0, 0, 0, 0.7);
+        border-color: transparent;
+        box-shadow: none;
+        color: #ffdd57; }
+    .button.is-warning.is-loading::after {
+      border-color: transparent transparent rgba(0, 0, 0, 0.7) rgba(0, 0, 0, 0.7) !important; }
+    .button.is-warning.is-outlined {
+      background-color: transparent;
+      border-color: #ffdd57;
+      color: #ffdd57; }
+      .button.is-warning.is-outlined:hover, .button.is-warning.is-outlined.is-hovered, .button.is-warning.is-outlined:focus, .button.is-warning.is-outlined.is-focused {
+        background-color: #ffdd57;
+        border-color: #ffdd57;
+        color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning.is-outlined.is-loading::after {
+        border-color: transparent transparent #ffdd57 #ffdd57 !important; }
+      .button.is-warning.is-outlined.is-loading:hover::after, .button.is-warning.is-outlined.is-loading.is-hovered::after, .button.is-warning.is-outlined.is-loading:focus::after, .button.is-warning.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent rgba(0, 0, 0, 0.7) rgba(0, 0, 0, 0.7) !important; }
+      .button.is-warning.is-outlined[disabled],
+      fieldset[disabled] .button.is-warning.is-outlined {
+        background-color: transparent;
+        border-color: #ffdd57;
+        box-shadow: none;
+        color: #ffdd57; }
+    .button.is-warning.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: rgba(0, 0, 0, 0.7);
+      color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning.is-inverted.is-outlined:hover, .button.is-warning.is-inverted.is-outlined.is-hovered, .button.is-warning.is-inverted.is-outlined:focus, .button.is-warning.is-inverted.is-outlined.is-focused {
+        background-color: rgba(0, 0, 0, 0.7);
+        color: #ffdd57; }
+      .button.is-warning.is-inverted.is-outlined.is-loading:hover::after, .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-warning.is-inverted.is-outlined.is-loading:focus::after, .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #ffdd57 #ffdd57 !important; }
+      .button.is-warning.is-inverted.is-outlined[disabled],
+      fieldset[disabled] .button.is-warning.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: rgba(0, 0, 0, 0.7);
+        box-shadow: none;
+        color: rgba(0, 0, 0, 0.7); }
+  .button.is-danger {
+    background-color: #da0b00;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-danger:hover, .button.is-danger.is-hovered {
+      background-color: #cd0a00;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-danger:focus, .button.is-danger.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-danger:focus:not(:active), .button.is-danger.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); }
+    .button.is-danger:active, .button.is-danger.is-active {
+      background-color: #c10a00;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-danger[disabled],
+    fieldset[disabled] .button.is-danger {
+      background-color: #da0b00;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-danger.is-inverted {
+      background-color: #fff;
+      color: #da0b00; }
+      .button.is-danger.is-inverted:hover, .button.is-danger.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-danger.is-inverted[disabled],
+      fieldset[disabled] .button.is-danger.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #da0b00; }
+    .button.is-danger.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-danger.is-outlined {
+      background-color: transparent;
+      border-color: #da0b00;
+      color: #da0b00; }
+      .button.is-danger.is-outlined:hover, .button.is-danger.is-outlined.is-hovered, .button.is-danger.is-outlined:focus, .button.is-danger.is-outlined.is-focused {
+        background-color: #da0b00;
+        border-color: #da0b00;
+        color: #fff; }
+      .button.is-danger.is-outlined.is-loading::after {
+        border-color: transparent transparent #da0b00 #da0b00 !important; }
+      .button.is-danger.is-outlined.is-loading:hover::after, .button.is-danger.is-outlined.is-loading.is-hovered::after, .button.is-danger.is-outlined.is-loading:focus::after, .button.is-danger.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-danger.is-outlined[disabled],
+      fieldset[disabled] .button.is-danger.is-outlined {
+        background-color: transparent;
+        border-color: #da0b00;
+        box-shadow: none;
+        color: #da0b00; }
+    .button.is-danger.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-danger.is-inverted.is-outlined:hover, .button.is-danger.is-inverted.is-outlined.is-hovered, .button.is-danger.is-inverted.is-outlined:focus, .button.is-danger.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #da0b00; }
+      .button.is-danger.is-inverted.is-outlined.is-loading:hover::after, .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-danger.is-inverted.is-outlined.is-loading:focus::after, .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #da0b00 #da0b00 !important; }
+      .button.is-danger.is-inverted.is-outlined[disabled],
+      fieldset[disabled] .button.is-danger.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-small, #documenter .docs-sidebar form.docs-search > input.button {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .button.is-normal {
+    font-size: 1rem; }
+  .button.is-medium {
+    font-size: 1.25rem; }
+  .button.is-large {
+    font-size: 1.5rem; }
+  .button[disabled],
+  fieldset[disabled] .button {
+    background-color: white;
+    border-color: #dbdbdb;
+    box-shadow: none;
+    opacity: 0.5; }
+  .button.is-fullwidth {
+    display: flex;
+    width: 100%; }
+  .button.is-loading {
+    color: transparent !important;
+    pointer-events: none; }
+    .button.is-loading::after {
+      position: absolute;
+      left: calc(50% - (1em / 2));
+      top: calc(50% - (1em / 2));
+      position: absolute !important; }
+  .button.is-static {
+    background-color: whitesmoke;
+    border-color: #dbdbdb;
+    color: #7a7a7a;
+    box-shadow: none;
+    pointer-events: none; }
+  .button.is-rounded, #documenter .docs-sidebar form.docs-search > input.button {
+    border-radius: 290486px;
+    padding-left: 1em;
+    padding-right: 1em; }
+
+.buttons {
+  align-items: center;
+  display: flex;
+  flex-wrap: wrap;
+  justify-content: flex-start; }
+  .buttons .button {
+    margin-bottom: 0.5rem; }
+    .buttons .button:not(:last-child):not(.is-fullwidth) {
+      margin-right: 0.5rem; }
+  .buttons:last-child {
+    margin-bottom: -0.5rem; }
+  .buttons:not(:last-child) {
+    margin-bottom: 1rem; }
+  .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large) {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large) {
+    font-size: 1.25rem; }
+  .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium) {
+    font-size: 1.5rem; }
+  .buttons.has-addons .button:not(:first-child) {
+    border-bottom-left-radius: 0;
+    border-top-left-radius: 0; }
+  .buttons.has-addons .button:not(:last-child) {
+    border-bottom-right-radius: 0;
+    border-top-right-radius: 0;
+    margin-right: -1px; }
+  .buttons.has-addons .button:last-child {
+    margin-right: 0; }
+  .buttons.has-addons .button:hover, .buttons.has-addons .button.is-hovered {
+    z-index: 2; }
+  .buttons.has-addons .button:focus, .buttons.has-addons .button.is-focused, .buttons.has-addons .button:active, .buttons.has-addons .button.is-active, .buttons.has-addons .button.is-selected {
+    z-index: 3; }
+    .buttons.has-addons .button:focus:hover, .buttons.has-addons .button.is-focused:hover, .buttons.has-addons .button:active:hover, .buttons.has-addons .button.is-active:hover, .buttons.has-addons .button.is-selected:hover {
+      z-index: 4; }
+  .buttons.has-addons .button.is-expanded {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .buttons.is-centered {
+    justify-content: center; }
+    .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth) {
+      margin-left: 0.25rem;
+      margin-right: 0.25rem; }
+  .buttons.is-right {
+    justify-content: flex-end; }
+    .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth) {
+      margin-left: 0.25rem;
+      margin-right: 0.25rem; }
+
+.container {
+  flex-grow: 1;
+  margin: 0 auto;
+  position: relative;
+  width: auto; }
+  @media screen and (min-width: 1056px) {
+    .container {
+      max-width: 992px; }
+      .container.is-fluid {
+        margin-left: 32px;
+        margin-right: 32px;
+        max-width: none; } }
+  @media screen and (max-width: 1215px) {
+    .container.is-widescreen {
+      max-width: 1152px; } }
+  @media screen and (max-width: 1407px) {
+    .container.is-fullhd {
+      max-width: 1344px; } }
+  @media screen and (min-width: 1216px) {
+    .container {
+      max-width: 1152px; } }
+  @media screen and (min-width: 1408px) {
+    .container {
+      max-width: 1344px; } }
+
+.content li + li {
+  margin-top: 0.25em; }
+
+.content p:not(:last-child),
+.content dl:not(:last-child),
+.content ol:not(:last-child),
+.content ul:not(:last-child),
+.content blockquote:not(:last-child),
+.content pre:not(:last-child),
+.content table:not(:last-child) {
+  margin-bottom: 1em; }
+
+.content h1,
+.content h2,
+.content h3,
+.content h4,
+.content h5,
+.content h6 {
+  color: #222222;
+  font-weight: 600;
+  line-height: 1.125; }
+
+.content h1 {
+  font-size: 2em;
+  margin-bottom: 0.5em; }
+  .content h1:not(:first-child) {
+    margin-top: 1em; }
+
+.content h2 {
+  font-size: 1.75em;
+  margin-bottom: 0.5714em; }
+  .content h2:not(:first-child) {
+    margin-top: 1.1428em; }
+
+.content h3 {
+  font-size: 1.5em;
+  margin-bottom: 0.6666em; }
+  .content h3:not(:first-child) {
+    margin-top: 1.3333em; }
+
+.content h4 {
+  font-size: 1.25em;
+  margin-bottom: 0.8em; }
+
+.content h5 {
+  font-size: 1.125em;
+  margin-bottom: 0.8888em; }
+
+.content h6 {
+  font-size: 1em;
+  margin-bottom: 1em; }
+
+.content blockquote {
+  background-color: whitesmoke;
+  border-left: 5px solid #dbdbdb;
+  padding: 1.25em 1.5em; }
+
+.content ol {
+  list-style-position: outside;
+  margin-left: 2em;
+  margin-top: 1em; }
+  .content ol:not([type]) {
+    list-style-type: decimal; }
+    .content ol:not([type]).is-lower-alpha {
+      list-style-type: lower-alpha; }
+    .content ol:not([type]).is-lower-roman {
+      list-style-type: lower-roman; }
+    .content ol:not([type]).is-upper-alpha {
+      list-style-type: upper-alpha; }
+    .content ol:not([type]).is-upper-roman {
+      list-style-type: upper-roman; }
+
+.content ul {
+  list-style: disc outside;
+  margin-left: 2em;
+  margin-top: 1em; }
+  .content ul ul {
+    list-style-type: circle;
+    margin-top: 0.5em; }
+    .content ul ul ul {
+      list-style-type: square; }
+
+.content dd {
+  margin-left: 2em; }
+
+.content figure {
+  margin-left: 2em;
+  margin-right: 2em;
+  text-align: center; }
+  .content figure:not(:first-child) {
+    margin-top: 2em; }
+  .content figure:not(:last-child) {
+    margin-bottom: 2em; }
+  .content figure img {
+    display: inline-block; }
+  .content figure figcaption {
+    font-style: italic; }
+
+.content pre {
+  -webkit-overflow-scrolling: touch;
+  overflow-x: auto;
+  padding: 0.7rem 0.5rem;
+  white-space: pre;
+  word-wrap: normal; }
+
+.content sup,
+.content sub {
+  font-size: 75%; }
+
+.content table {
+  width: 100%; }
+  .content table td,
+  .content table th {
+    border: 1px solid #dbdbdb;
+    border-width: 0 0 1px;
+    padding: 0.5em 0.75em;
+    vertical-align: top; }
+  .content table th {
+    color: #222222; }
+    .content table th:not([align]) {
+      text-align: left; }
+  .content table thead td,
+  .content table thead th {
+    border-width: 0 0 2px;
+    color: #222222; }
+  .content table tfoot td,
+  .content table tfoot th {
+    border-width: 2px 0 0;
+    color: #222222; }
+  .content table tbody tr:last-child td,
+  .content table tbody tr:last-child th {
+    border-bottom-width: 0; }
+
+.content .tabs li + li {
+  margin-top: 0; }
+
+.content.is-small, #documenter .docs-sidebar form.docs-search > input.content {
+  font-size: 0.75rem; }
+
+.content.is-medium {
+  font-size: 1.25rem; }
+
+.content.is-large {
+  font-size: 1.5rem; }
+
+.icon {
+  align-items: center;
+  display: inline-flex;
+  justify-content: center;
+  height: 1.5rem;
+  width: 1.5rem; }
+  .icon.is-small, #documenter .docs-sidebar form.docs-search > input.icon {
+    height: 1rem;
+    width: 1rem; }
+  .icon.is-medium {
+    height: 2rem;
+    width: 2rem; }
+  .icon.is-large {
+    height: 3rem;
+    width: 3rem; }
+
+.image, #documenter .docs-sidebar .docs-logo > img {
+  display: block;
+  position: relative; }
+  .image img, #documenter .docs-sidebar .docs-logo > img img {
+    display: block;
+    height: auto;
+    width: 100%; }
+    .image img.is-rounded, #documenter .docs-sidebar .docs-logo > img img.is-rounded {
+      border-radius: 290486px; }
+  .image.is-square img, #documenter .docs-sidebar .docs-logo > img.is-square img,
+  .image.is-square .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, .image.is-1by1 img, #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+  .image.is-1by1 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, .image.is-5by4 img, #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+  .image.is-5by4 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, .image.is-4by3 img, #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+  .image.is-4by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, .image.is-3by2 img, #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+  .image.is-3by2 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, .image.is-5by3 img, #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+  .image.is-5by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, .image.is-16by9 img, #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+  .image.is-16by9 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, .image.is-2by1 img, #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+  .image.is-2by1 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, .image.is-3by1 img, #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+  .image.is-3by1 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, .image.is-4by5 img, #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+  .image.is-4by5 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, .image.is-3by4 img, #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+  .image.is-3by4 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, .image.is-2by3 img, #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+  .image.is-2by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, .image.is-3by5 img, #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+  .image.is-3by5 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, .image.is-9by16 img, #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+  .image.is-9by16 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, .image.is-1by2 img, #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+  .image.is-1by2 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, .image.is-1by3 img, #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+  .image.is-1by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio {
+    height: 100%;
+    width: 100%; }
+  .image.is-square, #documenter .docs-sidebar .docs-logo > img.is-square, .image.is-1by1, #documenter .docs-sidebar .docs-logo > img.is-1by1 {
+    padding-top: 100%; }
+  .image.is-5by4, #documenter .docs-sidebar .docs-logo > img.is-5by4 {
+    padding-top: 80%; }
+  .image.is-4by3, #documenter .docs-sidebar .docs-logo > img.is-4by3 {
+    padding-top: 75%; }
+  .image.is-3by2, #documenter .docs-sidebar .docs-logo > img.is-3by2 {
+    padding-top: 66.6666%; }
+  .image.is-5by3, #documenter .docs-sidebar .docs-logo > img.is-5by3 {
+    padding-top: 60%; }
+  .image.is-16by9, #documenter .docs-sidebar .docs-logo > img.is-16by9 {
+    padding-top: 56.25%; }
+  .image.is-2by1, #documenter .docs-sidebar .docs-logo > img.is-2by1 {
+    padding-top: 50%; }
+  .image.is-3by1, #documenter .docs-sidebar .docs-logo > img.is-3by1 {
+    padding-top: 33.3333%; }
+  .image.is-4by5, #documenter .docs-sidebar .docs-logo > img.is-4by5 {
+    padding-top: 125%; }
+  .image.is-3by4, #documenter .docs-sidebar .docs-logo > img.is-3by4 {
+    padding-top: 133.3333%; }
+  .image.is-2by3, #documenter .docs-sidebar .docs-logo > img.is-2by3 {
+    padding-top: 150%; }
+  .image.is-3by5, #documenter .docs-sidebar .docs-logo > img.is-3by5 {
+    padding-top: 166.6666%; }
+  .image.is-9by16, #documenter .docs-sidebar .docs-logo > img.is-9by16 {
+    padding-top: 177.7777%; }
+  .image.is-1by2, #documenter .docs-sidebar .docs-logo > img.is-1by2 {
+    padding-top: 200%; }
+  .image.is-1by3, #documenter .docs-sidebar .docs-logo > img.is-1by3 {
+    padding-top: 300%; }
+  .image.is-16x16, #documenter .docs-sidebar .docs-logo > img.is-16x16 {
+    height: 16px;
+    width: 16px; }
+  .image.is-24x24, #documenter .docs-sidebar .docs-logo > img.is-24x24 {
+    height: 24px;
+    width: 24px; }
+  .image.is-32x32, #documenter .docs-sidebar .docs-logo > img.is-32x32 {
+    height: 32px;
+    width: 32px; }
+  .image.is-48x48, #documenter .docs-sidebar .docs-logo > img.is-48x48 {
+    height: 48px;
+    width: 48px; }
+  .image.is-64x64, #documenter .docs-sidebar .docs-logo > img.is-64x64 {
+    height: 64px;
+    width: 64px; }
+  .image.is-96x96, #documenter .docs-sidebar .docs-logo > img.is-96x96 {
+    height: 96px;
+    width: 96px; }
+  .image.is-128x128, #documenter .docs-sidebar .docs-logo > img.is-128x128 {
+    height: 128px;
+    width: 128px; }
+
+.notification {
+  background-color: whitesmoke;
+  border-radius: 4px;
+  padding: 1.25rem 2.5rem 1.25rem 1.5rem;
+  position: relative; }
+  .notification a:not(.button):not(.dropdown-item) {
+    color: currentColor;
+    text-decoration: underline; }
+  .notification strong {
+    color: currentColor; }
+  .notification code,
+  .notification pre {
+    background: white; }
+  .notification pre code {
+    background: transparent; }
+  .notification > .delete {
+    position: absolute;
+    right: 0.5rem;
+    top: 0.5rem; }
+  .notification .title,
+  .notification .subtitle,
+  .notification .content {
+    color: currentColor; }
+  .notification.is-white {
+    background-color: white;
+    color: #0a0a0a; }
+  .notification.is-black {
+    background-color: #0a0a0a;
+    color: white; }
+  .notification.is-light {
+    background-color: whitesmoke;
+    color: #363636; }
+  .notification.is-dark, .content kbd.notification {
+    background-color: #363636;
+    color: whitesmoke; }
+  .notification.is-primary, .docstring > section > a.notification.docs-sourcelink {
+    background-color: #4eb5de;
+    color: #fff; }
+  .notification.is-link {
+    background-color: #2e63b8;
+    color: #fff; }
+  .notification.is-info {
+    background-color: #209cee;
+    color: #fff; }
+  .notification.is-success {
+    background-color: #22c35b;
+    color: #fff; }
+  .notification.is-warning {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+  .notification.is-danger {
+    background-color: #da0b00;
+    color: #fff; }
+
+.progress {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  border: none;
+  border-radius: 290486px;
+  display: block;
+  height: 1rem;
+  overflow: hidden;
+  padding: 0;
+  width: 100%; }
+  .progress::-webkit-progress-bar {
+    background-color: #dbdbdb; }
+  .progress::-webkit-progress-value {
+    background-color: #222222; }
+  .progress::-moz-progress-bar {
+    background-color: #222222; }
+  .progress::-ms-fill {
+    background-color: #222222;
+    border: none; }
+  .progress.is-white::-webkit-progress-value {
+    background-color: white; }
+  .progress.is-white::-moz-progress-bar {
+    background-color: white; }
+  .progress.is-white::-ms-fill {
+    background-color: white; }
+  .progress.is-white:indeterminate {
+    background-image: linear-gradient(to right, white 30%, #dbdbdb 30%); }
+  .progress.is-black::-webkit-progress-value {
+    background-color: #0a0a0a; }
+  .progress.is-black::-moz-progress-bar {
+    background-color: #0a0a0a; }
+  .progress.is-black::-ms-fill {
+    background-color: #0a0a0a; }
+  .progress.is-black:indeterminate {
+    background-image: linear-gradient(to right, #0a0a0a 30%, #dbdbdb 30%); }
+  .progress.is-light::-webkit-progress-value {
+    background-color: whitesmoke; }
+  .progress.is-light::-moz-progress-bar {
+    background-color: whitesmoke; }
+  .progress.is-light::-ms-fill {
+    background-color: whitesmoke; }
+  .progress.is-light:indeterminate {
+    background-image: linear-gradient(to right, whitesmoke 30%, #dbdbdb 30%); }
+  .progress.is-dark::-webkit-progress-value, .content kbd.progress::-webkit-progress-value {
+    background-color: #363636; }
+  .progress.is-dark::-moz-progress-bar, .content kbd.progress::-moz-progress-bar {
+    background-color: #363636; }
+  .progress.is-dark::-ms-fill, .content kbd.progress::-ms-fill {
+    background-color: #363636; }
+  .progress.is-dark:indeterminate, .content kbd.progress:indeterminate {
+    background-image: linear-gradient(to right, #363636 30%, #dbdbdb 30%); }
+  .progress.is-primary::-webkit-progress-value, .docstring > section > a.progress.docs-sourcelink::-webkit-progress-value {
+    background-color: #4eb5de; }
+  .progress.is-primary::-moz-progress-bar, .docstring > section > a.progress.docs-sourcelink::-moz-progress-bar {
+    background-color: #4eb5de; }
+  .progress.is-primary::-ms-fill, .docstring > section > a.progress.docs-sourcelink::-ms-fill {
+    background-color: #4eb5de; }
+  .progress.is-primary:indeterminate, .docstring > section > a.progress.docs-sourcelink:indeterminate {
+    background-image: linear-gradient(to right, #4eb5de 30%, #dbdbdb 30%); }
+  .progress.is-link::-webkit-progress-value {
+    background-color: #2e63b8; }
+  .progress.is-link::-moz-progress-bar {
+    background-color: #2e63b8; }
+  .progress.is-link::-ms-fill {
+    background-color: #2e63b8; }
+  .progress.is-link:indeterminate {
+    background-image: linear-gradient(to right, #2e63b8 30%, #dbdbdb 30%); }
+  .progress.is-info::-webkit-progress-value {
+    background-color: #209cee; }
+  .progress.is-info::-moz-progress-bar {
+    background-color: #209cee; }
+  .progress.is-info::-ms-fill {
+    background-color: #209cee; }
+  .progress.is-info:indeterminate {
+    background-image: linear-gradient(to right, #209cee 30%, #dbdbdb 30%); }
+  .progress.is-success::-webkit-progress-value {
+    background-color: #22c35b; }
+  .progress.is-success::-moz-progress-bar {
+    background-color: #22c35b; }
+  .progress.is-success::-ms-fill {
+    background-color: #22c35b; }
+  .progress.is-success:indeterminate {
+    background-image: linear-gradient(to right, #22c35b 30%, #dbdbdb 30%); }
+  .progress.is-warning::-webkit-progress-value {
+    background-color: #ffdd57; }
+  .progress.is-warning::-moz-progress-bar {
+    background-color: #ffdd57; }
+  .progress.is-warning::-ms-fill {
+    background-color: #ffdd57; }
+  .progress.is-warning:indeterminate {
+    background-image: linear-gradient(to right, #ffdd57 30%, #dbdbdb 30%); }
+  .progress.is-danger::-webkit-progress-value {
+    background-color: #da0b00; }
+  .progress.is-danger::-moz-progress-bar {
+    background-color: #da0b00; }
+  .progress.is-danger::-ms-fill {
+    background-color: #da0b00; }
+  .progress.is-danger:indeterminate {
+    background-image: linear-gradient(to right, #da0b00 30%, #dbdbdb 30%); }
+  .progress:indeterminate {
+    animation-duration: 1.5s;
+    animation-iteration-count: infinite;
+    animation-name: moveIndeterminate;
+    animation-timing-function: linear;
+    background-color: #dbdbdb;
+    background-image: linear-gradient(to right, #222222 30%, #dbdbdb 30%);
+    background-position: top left;
+    background-repeat: no-repeat;
+    background-size: 150% 150%; }
+    .progress:indeterminate::-webkit-progress-bar {
+      background-color: transparent; }
+    .progress:indeterminate::-moz-progress-bar {
+      background-color: transparent; }
+  .progress.is-small, #documenter .docs-sidebar form.docs-search > input.progress {
+    height: 0.75rem; }
+  .progress.is-medium {
+    height: 1.25rem; }
+  .progress.is-large {
+    height: 1.5rem; }
+
+@keyframes moveIndeterminate {
+  from {
+    background-position: 200% 0; }
+  to {
+    background-position: -200% 0; } }
+
+.table {
+  background-color: white;
+  color: #363636; }
+  .table td,
+  .table th {
+    border: 1px solid #dbdbdb;
+    border-width: 0 0 1px;
+    padding: 0.5em 0.75em;
+    vertical-align: top; }
+    .table td.is-white,
+    .table th.is-white {
+      background-color: white;
+      border-color: white;
+      color: #0a0a0a; }
+    .table td.is-black,
+    .table th.is-black {
+      background-color: #0a0a0a;
+      border-color: #0a0a0a;
+      color: white; }
+    .table td.is-light,
+    .table th.is-light {
+      background-color: whitesmoke;
+      border-color: whitesmoke;
+      color: #363636; }
+    .table td.is-dark,
+    .table th.is-dark {
+      background-color: #363636;
+      border-color: #363636;
+      color: whitesmoke; }
+    .table td.is-primary,
+    .table th.is-primary {
+      background-color: #4eb5de;
+      border-color: #4eb5de;
+      color: #fff; }
+    .table td.is-link,
+    .table th.is-link {
+      background-color: #2e63b8;
+      border-color: #2e63b8;
+      color: #fff; }
+    .table td.is-info,
+    .table th.is-info {
+      background-color: #209cee;
+      border-color: #209cee;
+      color: #fff; }
+    .table td.is-success,
+    .table th.is-success {
+      background-color: #22c35b;
+      border-color: #22c35b;
+      color: #fff; }
+    .table td.is-warning,
+    .table th.is-warning {
+      background-color: #ffdd57;
+      border-color: #ffdd57;
+      color: rgba(0, 0, 0, 0.7); }
+    .table td.is-danger,
+    .table th.is-danger {
+      background-color: #da0b00;
+      border-color: #da0b00;
+      color: #fff; }
+    .table td.is-narrow,
+    .table th.is-narrow {
+      white-space: nowrap;
+      width: 1%; }
+    .table td.is-selected,
+    .table th.is-selected {
+      background-color: #4eb5de;
+      color: #fff; }
+      .table td.is-selected a,
+      .table td.is-selected strong,
+      .table th.is-selected a,
+      .table th.is-selected strong {
+        color: currentColor; }
+  .table th {
+    color: #222222; }
+    .table th:not([align]) {
+      text-align: left; }
+  .table tr.is-selected {
+    background-color: #4eb5de;
+    color: #fff; }
+    .table tr.is-selected a,
+    .table tr.is-selected strong {
+      color: currentColor; }
+    .table tr.is-selected td,
+    .table tr.is-selected th {
+      border-color: #fff;
+      color: currentColor; }
+  .table thead {
+    background-color: transparent; }
+    .table thead td,
+    .table thead th {
+      border-width: 0 0 2px;
+      color: #222222; }
+  .table tfoot {
+    background-color: transparent; }
+    .table tfoot td,
+    .table tfoot th {
+      border-width: 2px 0 0;
+      color: #222222; }
+  .table tbody {
+    background-color: transparent; }
+    .table tbody tr:last-child td,
+    .table tbody tr:last-child th {
+      border-bottom-width: 0; }
+  .table.is-bordered td,
+  .table.is-bordered th {
+    border-width: 1px; }
+  .table.is-bordered tr:last-child td,
+  .table.is-bordered tr:last-child th {
+    border-bottom-width: 1px; }
+  .table.is-fullwidth {
+    width: 100%; }
+  .table.is-hoverable tbody tr:not(.is-selected):hover {
+    background-color: #fafafa; }
+  .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover {
+    background-color: #fafafa; }
+    .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover:nth-child(even) {
+      background-color: whitesmoke; }
+  .table.is-narrow td,
+  .table.is-narrow th {
+    padding: 0.25em 0.5em; }
+  .table.is-striped tbody tr:not(.is-selected):nth-child(even) {
+    background-color: #fafafa; }
+
+.table-container {
+  -webkit-overflow-scrolling: touch;
+  overflow: auto;
+  overflow-y: hidden;
+  max-width: 100%; }
+
+.tags {
+  align-items: center;
+  display: flex;
+  flex-wrap: wrap;
+  justify-content: flex-start; }
+  .tags .tag, .tags .docstring > section > a.docs-sourcelink, .tags .content kbd, .content .tags kbd {
+    margin-bottom: 0.5rem; }
+    .tags .tag:not(:last-child), .tags .docstring > section > a.docs-sourcelink:not(:last-child), .tags .content kbd:not(:last-child), .content .tags kbd:not(:last-child) {
+      margin-right: 0.5rem; }
+  .tags:last-child {
+    margin-bottom: -0.5rem; }
+  .tags:not(:last-child) {
+    margin-bottom: 1rem; }
+  .tags.are-medium .tag:not(.is-normal):not(.is-large), .tags.are-medium .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-large), .tags.are-medium .content kbd:not(.is-normal):not(.is-large), .content .tags.are-medium kbd:not(.is-normal):not(.is-large) {
+    font-size: 1rem; }
+  .tags.are-large .tag:not(.is-normal):not(.is-medium), .tags.are-large .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-medium), .tags.are-large .content kbd:not(.is-normal):not(.is-medium), .content .tags.are-large kbd:not(.is-normal):not(.is-medium) {
+    font-size: 1.25rem; }
+  .tags.is-centered {
+    justify-content: center; }
+    .tags.is-centered .tag, .tags.is-centered .docstring > section > a.docs-sourcelink, .tags.is-centered .content kbd, .content .tags.is-centered kbd {
+      margin-right: 0.25rem;
+      margin-left: 0.25rem; }
+  .tags.is-right {
+    justify-content: flex-end; }
+    .tags.is-right .tag:not(:first-child), .tags.is-right .docstring > section > a.docs-sourcelink:not(:first-child), .tags.is-right .content kbd:not(:first-child), .content .tags.is-right kbd:not(:first-child) {
+      margin-left: 0.5rem; }
+    .tags.is-right .tag:not(:last-child), .tags.is-right .docstring > section > a.docs-sourcelink:not(:last-child), .tags.is-right .content kbd:not(:last-child), .content .tags.is-right kbd:not(:last-child) {
+      margin-right: 0; }
+  .tags.has-addons .tag, .tags.has-addons .docstring > section > a.docs-sourcelink, .tags.has-addons .content kbd, .content .tags.has-addons kbd {
+    margin-right: 0; }
+    .tags.has-addons .tag:not(:first-child), .tags.has-addons .docstring > section > a.docs-sourcelink:not(:first-child), .tags.has-addons .content kbd:not(:first-child), .content .tags.has-addons kbd:not(:first-child) {
+      margin-left: 0;
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    .tags.has-addons .tag:not(:last-child), .tags.has-addons .docstring > section > a.docs-sourcelink:not(:last-child), .tags.has-addons .content kbd:not(:last-child), .content .tags.has-addons kbd:not(:last-child) {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0; }
+
+.tag:not(body), .docstring > section > a.docs-sourcelink:not(body), .content kbd:not(body) {
+  align-items: center;
+  background-color: whitesmoke;
+  border-radius: 4px;
+  color: #222222;
+  display: inline-flex;
+  font-size: 0.75rem;
+  height: 2em;
+  justify-content: center;
+  line-height: 1.5;
+  padding-left: 0.75em;
+  padding-right: 0.75em;
+  white-space: nowrap; }
+  .tag:not(body) .delete, .docstring > section > a.docs-sourcelink:not(body) .delete, .content kbd:not(body) .delete {
+    margin-left: 0.25rem;
+    margin-right: -0.375rem; }
+  .tag:not(body).is-white, .docstring > section > a.docs-sourcelink:not(body).is-white, .content kbd:not(body).is-white {
+    background-color: white;
+    color: #0a0a0a; }
+  .tag:not(body).is-black, .docstring > section > a.docs-sourcelink:not(body).is-black, .content kbd:not(body).is-black {
+    background-color: #0a0a0a;
+    color: white; }
+  .tag:not(body).is-light, .docstring > section > a.docs-sourcelink:not(body).is-light, .content kbd:not(body).is-light {
+    background-color: whitesmoke;
+    color: #363636; }
+  .tag:not(body).is-dark, .docstring > section > a.docs-sourcelink:not(body).is-dark, .content kbd:not(body) {
+    background-color: #363636;
+    color: whitesmoke; }
+  .tag:not(body).is-primary, .docstring > section > a.docs-sourcelink:not(body), .content kbd:not(body).is-primary {
+    background-color: #4eb5de;
+    color: #fff; }
+  .tag:not(body).is-link, .docstring > section > a.docs-sourcelink:not(body).is-link, .content kbd:not(body).is-link {
+    background-color: #2e63b8;
+    color: #fff; }
+  .tag:not(body).is-info, .docstring > section > a.docs-sourcelink:not(body).is-info, .content kbd:not(body).is-info {
+    background-color: #209cee;
+    color: #fff; }
+  .tag:not(body).is-success, .docstring > section > a.docs-sourcelink:not(body).is-success, .content kbd:not(body).is-success {
+    background-color: #22c35b;
+    color: #fff; }
+  .tag:not(body).is-warning, .docstring > section > a.docs-sourcelink:not(body).is-warning, .content kbd:not(body).is-warning {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+  .tag:not(body).is-danger, .docstring > section > a.docs-sourcelink:not(body).is-danger, .content kbd:not(body).is-danger {
+    background-color: #da0b00;
+    color: #fff; }
+  .tag:not(body).is-normal, .docstring > section > a.docs-sourcelink:not(body).is-normal, .content kbd:not(body).is-normal {
+    font-size: 0.75rem; }
+  .tag:not(body).is-medium, .docstring > section > a.docs-sourcelink:not(body).is-medium, .content kbd:not(body).is-medium {
+    font-size: 1rem; }
+  .tag:not(body).is-large, .docstring > section > a.docs-sourcelink:not(body).is-large, .content kbd:not(body).is-large {
+    font-size: 1.25rem; }
+  .tag:not(body) .icon:first-child:not(:last-child), .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:not(:last-child), .content kbd:not(body) .icon:first-child:not(:last-child) {
+    margin-left: -0.375em;
+    margin-right: 0.1875em; }
+  .tag:not(body) .icon:last-child:not(:first-child), .docstring > section > a.docs-sourcelink:not(body) .icon:last-child:not(:first-child), .content kbd:not(body) .icon:last-child:not(:first-child) {
+    margin-left: 0.1875em;
+    margin-right: -0.375em; }
+  .tag:not(body) .icon:first-child:last-child, .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:last-child, .content kbd:not(body) .icon:first-child:last-child {
+    margin-left: -0.375em;
+    margin-right: -0.375em; }
+  .tag:not(body).is-delete, .docstring > section > a.docs-sourcelink:not(body).is-delete, .content kbd:not(body).is-delete {
+    margin-left: 1px;
+    padding: 0;
+    position: relative;
+    width: 2em; }
+    .tag:not(body).is-delete::before, .docstring > section > a.docs-sourcelink:not(body).is-delete::before, .content kbd:not(body).is-delete::before, .tag:not(body).is-delete::after, .docstring > section > a.docs-sourcelink:not(body).is-delete::after, .content kbd:not(body).is-delete::after {
+      background-color: currentColor;
+      content: "";
+      display: block;
+      left: 50%;
+      position: absolute;
+      top: 50%;
+      transform: translateX(-50%) translateY(-50%) rotate(45deg);
+      transform-origin: center center; }
+    .tag:not(body).is-delete::before, .docstring > section > a.docs-sourcelink:not(body).is-delete::before, .content kbd:not(body).is-delete::before {
+      height: 1px;
+      width: 50%; }
+    .tag:not(body).is-delete::after, .docstring > section > a.docs-sourcelink:not(body).is-delete::after, .content kbd:not(body).is-delete::after {
+      height: 50%;
+      width: 1px; }
+    .tag:not(body).is-delete:hover, .docstring > section > a.docs-sourcelink:not(body).is-delete:hover, .content kbd:not(body).is-delete:hover, .tag:not(body).is-delete:focus, .docstring > section > a.docs-sourcelink:not(body).is-delete:focus, .content kbd:not(body).is-delete:focus {
+      background-color: #e8e8e8; }
+    .tag:not(body).is-delete:active, .docstring > section > a.docs-sourcelink:not(body).is-delete:active, .content kbd:not(body).is-delete:active {
+      background-color: #dbdbdb; }
+  .tag:not(body).is-rounded, .docstring > section > a.docs-sourcelink:not(body).is-rounded, .content kbd:not(body).is-rounded, #documenter .docs-sidebar form.docs-search > input.tag:not(body) {
+    border-radius: 290486px; }
+
+a.tag:hover, .docstring > section > a.docs-sourcelink:hover {
+  text-decoration: underline; }
+
+.title,
+.subtitle {
+  word-break: break-word; }
+  .title em,
+  .title span,
+  .subtitle em,
+  .subtitle span {
+    font-weight: inherit; }
+  .title sub,
+  .subtitle sub {
+    font-size: 0.75em; }
+  .title sup,
+  .subtitle sup {
+    font-size: 0.75em; }
+  .title .tag, .title .docstring > section > a.docs-sourcelink, .title .content kbd, .content .title kbd,
+  .subtitle .tag,
+  .subtitle .docstring > section > a.docs-sourcelink,
+  .subtitle .content kbd,
+  .content .subtitle kbd {
+    vertical-align: middle; }
+
+.title {
+  color: #363636;
+  font-size: 2rem;
+  font-weight: 600;
+  line-height: 1.125; }
+  .title strong {
+    color: inherit;
+    font-weight: inherit; }
+  .title + .highlight {
+    margin-top: -0.75rem; }
+  .title:not(.is-spaced) + .subtitle {
+    margin-top: -1.25rem; }
+  .title.is-1 {
+    font-size: 3rem; }
+  .title.is-2 {
+    font-size: 2.5rem; }
+  .title.is-3 {
+    font-size: 2rem; }
+  .title.is-4 {
+    font-size: 1.5rem; }
+  .title.is-5 {
+    font-size: 1.25rem; }
+  .title.is-6 {
+    font-size: 1rem; }
+  .title.is-7 {
+    font-size: 0.75rem; }
+
+.subtitle {
+  color: #4a4a4a;
+  font-size: 1.25rem;
+  font-weight: 400;
+  line-height: 1.25; }
+  .subtitle strong {
+    color: #363636;
+    font-weight: 600; }
+  .subtitle:not(.is-spaced) + .title {
+    margin-top: -1.25rem; }
+  .subtitle.is-1 {
+    font-size: 3rem; }
+  .subtitle.is-2 {
+    font-size: 2.5rem; }
+  .subtitle.is-3 {
+    font-size: 2rem; }
+  .subtitle.is-4 {
+    font-size: 1.5rem; }
+  .subtitle.is-5 {
+    font-size: 1.25rem; }
+  .subtitle.is-6 {
+    font-size: 1rem; }
+  .subtitle.is-7 {
+    font-size: 0.75rem; }
+
+.heading {
+  display: block;
+  font-size: 11px;
+  letter-spacing: 1px;
+  margin-bottom: 5px;
+  text-transform: uppercase; }
+
+.highlight {
+  font-weight: 400;
+  max-width: 100%;
+  overflow: hidden;
+  padding: 0; }
+  .highlight pre {
+    overflow: auto;
+    max-width: 100%; }
+
+.number {
+  align-items: center;
+  background-color: whitesmoke;
+  border-radius: 290486px;
+  display: inline-flex;
+  font-size: 1.25rem;
+  height: 2em;
+  justify-content: center;
+  margin-right: 1.5rem;
+  min-width: 2.5em;
+  padding: 0.25rem 0.5rem;
+  text-align: center;
+  vertical-align: top; }
+
+.input, #documenter .docs-sidebar form.docs-search > input, .textarea, .select select {
+  background-color: white;
+  border-color: #dbdbdb;
+  border-radius: 4px;
+  color: #363636; }
+  .input::-moz-placeholder, #documenter .docs-sidebar form.docs-search > input::-moz-placeholder, .textarea::-moz-placeholder, .select select::-moz-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .input::-webkit-input-placeholder, #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder, .textarea::-webkit-input-placeholder, .select select::-webkit-input-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .input:-moz-placeholder, #documenter .docs-sidebar form.docs-search > input:-moz-placeholder, .textarea:-moz-placeholder, .select select:-moz-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .input:-ms-input-placeholder, #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder, .textarea:-ms-input-placeholder, .select select:-ms-input-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .input:hover, #documenter .docs-sidebar form.docs-search > input:hover, .textarea:hover, .select select:hover, .is-hovered.input, #documenter .docs-sidebar form.docs-search > input.is-hovered, .is-hovered.textarea, .select select.is-hovered {
+    border-color: #b5b5b5; }
+  .input:focus, #documenter .docs-sidebar form.docs-search > input:focus, .textarea:focus, .select select:focus, .is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-focused.textarea, .select select.is-focused, .input:active, #documenter .docs-sidebar form.docs-search > input:active, .textarea:active, .select select:active, .is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .is-active.textarea, .select select.is-active {
+    border-color: #2e63b8;
+    box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .input[disabled], #documenter .docs-sidebar form.docs-search > input[disabled], .textarea[disabled], .select select[disabled],
+  fieldset[disabled] .input,
+  fieldset[disabled] #documenter .docs-sidebar form.docs-search > input,
+  #documenter .docs-sidebar fieldset[disabled] form.docs-search > input,
+  fieldset[disabled] .textarea,
+  fieldset[disabled] .select select,
+  .select fieldset[disabled] select {
+    background-color: whitesmoke;
+    border-color: whitesmoke;
+    box-shadow: none;
+    color: #7a7a7a; }
+    .input[disabled]::-moz-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]::-moz-placeholder, .textarea[disabled]::-moz-placeholder, .select select[disabled]::-moz-placeholder,
+    fieldset[disabled] .input::-moz-placeholder,
+    fieldset[disabled] #documenter .docs-sidebar form.docs-search > input::-moz-placeholder,
+    #documenter .docs-sidebar fieldset[disabled] form.docs-search > input::-moz-placeholder,
+    fieldset[disabled] .textarea::-moz-placeholder,
+    fieldset[disabled] .select select::-moz-placeholder,
+    .select fieldset[disabled] select::-moz-placeholder {
+      color: rgba(122, 122, 122, 0.3); }
+    .input[disabled]::-webkit-input-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]::-webkit-input-placeholder, .textarea[disabled]::-webkit-input-placeholder, .select select[disabled]::-webkit-input-placeholder,
+    fieldset[disabled] .input::-webkit-input-placeholder,
+    fieldset[disabled] #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder,
+    #documenter .docs-sidebar fieldset[disabled] form.docs-search > input::-webkit-input-placeholder,
+    fieldset[disabled] .textarea::-webkit-input-placeholder,
+    fieldset[disabled] .select select::-webkit-input-placeholder,
+    .select fieldset[disabled] select::-webkit-input-placeholder {
+      color: rgba(122, 122, 122, 0.3); }
+    .input[disabled]:-moz-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]:-moz-placeholder, .textarea[disabled]:-moz-placeholder, .select select[disabled]:-moz-placeholder,
+    fieldset[disabled] .input:-moz-placeholder,
+    fieldset[disabled] #documenter .docs-sidebar form.docs-search > input:-moz-placeholder,
+    #documenter .docs-sidebar fieldset[disabled] form.docs-search > input:-moz-placeholder,
+    fieldset[disabled] .textarea:-moz-placeholder,
+    fieldset[disabled] .select select:-moz-placeholder,
+    .select fieldset[disabled] select:-moz-placeholder {
+      color: rgba(122, 122, 122, 0.3); }
+    .input[disabled]:-ms-input-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]:-ms-input-placeholder, .textarea[disabled]:-ms-input-placeholder, .select select[disabled]:-ms-input-placeholder,
+    fieldset[disabled] .input:-ms-input-placeholder,
+    fieldset[disabled] #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder,
+    #documenter .docs-sidebar fieldset[disabled] form.docs-search > input:-ms-input-placeholder,
+    fieldset[disabled] .textarea:-ms-input-placeholder,
+    fieldset[disabled] .select select:-ms-input-placeholder,
+    .select fieldset[disabled] select:-ms-input-placeholder {
+      color: rgba(122, 122, 122, 0.3); }
+
+.input, #documenter .docs-sidebar form.docs-search > input, .textarea {
+  box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.1);
+  max-width: 100%;
+  width: 100%; }
+  .input[readonly], #documenter .docs-sidebar form.docs-search > input[readonly], .textarea[readonly] {
+    box-shadow: none; }
+  .is-white.input, #documenter .docs-sidebar form.docs-search > input.is-white, .is-white.textarea {
+    border-color: white; }
+    .is-white.input:focus, #documenter .docs-sidebar form.docs-search > input.is-white:focus, .is-white.textarea:focus, .is-white.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-white.is-focused, .is-white.is-focused.textarea, .is-white.input:active, #documenter .docs-sidebar form.docs-search > input.is-white:active, .is-white.textarea:active, .is-white.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-white.is-active, .is-white.is-active.textarea {
+      box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+  .is-black.input, #documenter .docs-sidebar form.docs-search > input.is-black, .is-black.textarea {
+    border-color: #0a0a0a; }
+    .is-black.input:focus, #documenter .docs-sidebar form.docs-search > input.is-black:focus, .is-black.textarea:focus, .is-black.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-black.is-focused, .is-black.is-focused.textarea, .is-black.input:active, #documenter .docs-sidebar form.docs-search > input.is-black:active, .is-black.textarea:active, .is-black.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-black.is-active, .is-black.is-active.textarea {
+      box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+  .is-light.input, #documenter .docs-sidebar form.docs-search > input.is-light, .is-light.textarea {
+    border-color: whitesmoke; }
+    .is-light.input:focus, #documenter .docs-sidebar form.docs-search > input.is-light:focus, .is-light.textarea:focus, .is-light.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-light.is-focused, .is-light.is-focused.textarea, .is-light.input:active, #documenter .docs-sidebar form.docs-search > input.is-light:active, .is-light.textarea:active, .is-light.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-light.is-active, .is-light.is-active.textarea {
+      box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); }
+  .is-dark.input, .content kbd.input, #documenter .docs-sidebar form.docs-search > input.is-dark, .is-dark.textarea, .content kbd.textarea {
+    border-color: #363636; }
+    .is-dark.input:focus, .content kbd.input:focus, #documenter .docs-sidebar form.docs-search > input.is-dark:focus, .is-dark.textarea:focus, .content kbd.textarea:focus, .is-dark.is-focused.input, .content kbd.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-dark.is-focused, .is-dark.is-focused.textarea, .content kbd.is-focused.textarea, .is-dark.input:active, .content kbd.input:active, #documenter .docs-sidebar form.docs-search > input.is-dark:active, .is-dark.textarea:active, .content kbd.textarea:active, .is-dark.is-active.input, .content kbd.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-dark.is-active, .is-dark.is-active.textarea, .content kbd.is-active.textarea {
+      box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); }
+  .is-primary.input, .docstring > section > a.input.docs-sourcelink, #documenter .docs-sidebar form.docs-search > input.is-primary, .is-primary.textarea, .docstring > section > a.textarea.docs-sourcelink {
+    border-color: #4eb5de; }
+    .is-primary.input:focus, .docstring > section > a.input.docs-sourcelink:focus, #documenter .docs-sidebar form.docs-search > input.is-primary:focus, .is-primary.textarea:focus, .docstring > section > a.textarea.docs-sourcelink:focus, .is-primary.is-focused.input, .docstring > section > a.is-focused.input.docs-sourcelink, #documenter .docs-sidebar form.docs-search > input.is-primary.is-focused, .is-primary.is-focused.textarea, .docstring > section > a.is-focused.textarea.docs-sourcelink, .is-primary.input:active, .docstring > section > a.input.docs-sourcelink:active, #documenter .docs-sidebar form.docs-search > input.is-primary:active, .is-primary.textarea:active, .docstring > section > a.textarea.docs-sourcelink:active, .is-primary.is-active.input, .docstring > section > a.is-active.input.docs-sourcelink, #documenter .docs-sidebar form.docs-search > input.is-primary.is-active, .is-primary.is-active.textarea, .docstring > section > a.is-active.textarea.docs-sourcelink {
+      box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); }
+  .is-link.input, #documenter .docs-sidebar form.docs-search > input.is-link, .is-link.textarea {
+    border-color: #2e63b8; }
+    .is-link.input:focus, #documenter .docs-sidebar form.docs-search > input.is-link:focus, .is-link.textarea:focus, .is-link.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-link.is-focused, .is-link.is-focused.textarea, .is-link.input:active, #documenter .docs-sidebar form.docs-search > input.is-link:active, .is-link.textarea:active, .is-link.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-link.is-active, .is-link.is-active.textarea {
+      box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .is-info.input, #documenter .docs-sidebar form.docs-search > input.is-info, .is-info.textarea {
+    border-color: #209cee; }
+    .is-info.input:focus, #documenter .docs-sidebar form.docs-search > input.is-info:focus, .is-info.textarea:focus, .is-info.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-info.is-focused, .is-info.is-focused.textarea, .is-info.input:active, #documenter .docs-sidebar form.docs-search > input.is-info:active, .is-info.textarea:active, .is-info.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-info.is-active, .is-info.is-active.textarea {
+      box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); }
+  .is-success.input, #documenter .docs-sidebar form.docs-search > input.is-success, .is-success.textarea {
+    border-color: #22c35b; }
+    .is-success.input:focus, #documenter .docs-sidebar form.docs-search > input.is-success:focus, .is-success.textarea:focus, .is-success.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-success.is-focused, .is-success.is-focused.textarea, .is-success.input:active, #documenter .docs-sidebar form.docs-search > input.is-success:active, .is-success.textarea:active, .is-success.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-success.is-active, .is-success.is-active.textarea {
+      box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); }
+  .is-warning.input, #documenter .docs-sidebar form.docs-search > input.is-warning, .is-warning.textarea {
+    border-color: #ffdd57; }
+    .is-warning.input:focus, #documenter .docs-sidebar form.docs-search > input.is-warning:focus, .is-warning.textarea:focus, .is-warning.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-warning.is-focused, .is-warning.is-focused.textarea, .is-warning.input:active, #documenter .docs-sidebar form.docs-search > input.is-warning:active, .is-warning.textarea:active, .is-warning.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-warning.is-active, .is-warning.is-active.textarea {
+      box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); }
+  .is-danger.input, #documenter .docs-sidebar form.docs-search > input.is-danger, .is-danger.textarea {
+    border-color: #da0b00; }
+    .is-danger.input:focus, #documenter .docs-sidebar form.docs-search > input.is-danger:focus, .is-danger.textarea:focus, .is-danger.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-danger.is-focused, .is-danger.is-focused.textarea, .is-danger.input:active, #documenter .docs-sidebar form.docs-search > input.is-danger:active, .is-danger.textarea:active, .is-danger.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-danger.is-active, .is-danger.is-active.textarea {
+      box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); }
+  .is-small.input, #documenter .docs-sidebar form.docs-search > input, .is-small.textarea {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .is-medium.input, #documenter .docs-sidebar form.docs-search > input.is-medium, .is-medium.textarea {
+    font-size: 1.25rem; }
+  .is-large.input, #documenter .docs-sidebar form.docs-search > input.is-large, .is-large.textarea {
+    font-size: 1.5rem; }
+  .is-fullwidth.input, #documenter .docs-sidebar form.docs-search > input.is-fullwidth, .is-fullwidth.textarea {
+    display: block;
+    width: 100%; }
+  .is-inline.input, #documenter .docs-sidebar form.docs-search > input.is-inline, .is-inline.textarea {
+    display: inline;
+    width: auto; }
+
+.input.is-rounded, #documenter .docs-sidebar form.docs-search > input {
+  border-radius: 290486px;
+  padding-left: 1em;
+  padding-right: 1em; }
+
+.input.is-static, #documenter .docs-sidebar form.docs-search > input.is-static {
+  background-color: transparent;
+  border-color: transparent;
+  box-shadow: none;
+  padding-left: 0;
+  padding-right: 0; }
+
+.textarea {
+  display: block;
+  max-width: 100%;
+  min-width: 100%;
+  padding: 0.625em;
+  resize: vertical; }
+  .textarea:not([rows]) {
+    max-height: 600px;
+    min-height: 120px; }
+  .textarea[rows] {
+    height: initial; }
+  .textarea.has-fixed-size {
+    resize: none; }
+
+.checkbox, .radio {
+  cursor: pointer;
+  display: inline-block;
+  line-height: 1.25;
+  position: relative; }
+  .checkbox input, .radio input {
+    cursor: pointer; }
+  .checkbox:hover, .radio:hover {
+    color: #363636; }
+  .checkbox[disabled], .radio[disabled],
+  fieldset[disabled] .checkbox,
+  fieldset[disabled] .radio {
+    color: #7a7a7a;
+    cursor: not-allowed; }
+
+.radio + .radio {
+  margin-left: 0.5em; }
+
+.select {
+  display: inline-block;
+  max-width: 100%;
+  position: relative;
+  vertical-align: top; }
+  .select:not(.is-multiple) {
+    height: 2.25em; }
+  .select:not(.is-multiple):not(.is-loading)::after {
+    border-color: #2e63b8;
+    right: 1.125em;
+    z-index: 4; }
+  .select.is-rounded select, #documenter .docs-sidebar form.docs-search > input.select select {
+    border-radius: 290486px;
+    padding-left: 1em; }
+  .select select {
+    cursor: pointer;
+    display: block;
+    font-size: 1em;
+    max-width: 100%;
+    outline: none; }
+    .select select::-ms-expand {
+      display: none; }
+    .select select[disabled]:hover,
+    fieldset[disabled] .select select:hover {
+      border-color: whitesmoke; }
+    .select select:not([multiple]) {
+      padding-right: 2.5em; }
+    .select select[multiple] {
+      height: auto;
+      padding: 0; }
+      .select select[multiple] option {
+        padding: 0.5em 1em; }
+  .select:not(.is-multiple):not(.is-loading):hover::after {
+    border-color: #363636; }
+  .select.is-white:not(:hover)::after {
+    border-color: white; }
+  .select.is-white select {
+    border-color: white; }
+    .select.is-white select:hover, .select.is-white select.is-hovered {
+      border-color: #f2f2f2; }
+    .select.is-white select:focus, .select.is-white select.is-focused, .select.is-white select:active, .select.is-white select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+  .select.is-black:not(:hover)::after {
+    border-color: #0a0a0a; }
+  .select.is-black select {
+    border-color: #0a0a0a; }
+    .select.is-black select:hover, .select.is-black select.is-hovered {
+      border-color: black; }
+    .select.is-black select:focus, .select.is-black select.is-focused, .select.is-black select:active, .select.is-black select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+  .select.is-light:not(:hover)::after {
+    border-color: whitesmoke; }
+  .select.is-light select {
+    border-color: whitesmoke; }
+    .select.is-light select:hover, .select.is-light select.is-hovered {
+      border-color: #e8e8e8; }
+    .select.is-light select:focus, .select.is-light select.is-focused, .select.is-light select:active, .select.is-light select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); }
+  .select.is-dark:not(:hover)::after, .content kbd.select:not(:hover)::after {
+    border-color: #363636; }
+  .select.is-dark select, .content kbd.select select {
+    border-color: #363636; }
+    .select.is-dark select:hover, .content kbd.select select:hover, .select.is-dark select.is-hovered, .content kbd.select select.is-hovered {
+      border-color: #292929; }
+    .select.is-dark select:focus, .content kbd.select select:focus, .select.is-dark select.is-focused, .content kbd.select select.is-focused, .select.is-dark select:active, .content kbd.select select:active, .select.is-dark select.is-active, .content kbd.select select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); }
+  .select.is-primary:not(:hover)::after, .docstring > section > a.select.docs-sourcelink:not(:hover)::after {
+    border-color: #4eb5de; }
+  .select.is-primary select, .docstring > section > a.select.docs-sourcelink select {
+    border-color: #4eb5de; }
+    .select.is-primary select:hover, .docstring > section > a.select.docs-sourcelink select:hover, .select.is-primary select.is-hovered, .docstring > section > a.select.docs-sourcelink select.is-hovered {
+      border-color: #39acda; }
+    .select.is-primary select:focus, .docstring > section > a.select.docs-sourcelink select:focus, .select.is-primary select.is-focused, .docstring > section > a.select.docs-sourcelink select.is-focused, .select.is-primary select:active, .docstring > section > a.select.docs-sourcelink select:active, .select.is-primary select.is-active, .docstring > section > a.select.docs-sourcelink select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); }
+  .select.is-link:not(:hover)::after {
+    border-color: #2e63b8; }
+  .select.is-link select {
+    border-color: #2e63b8; }
+    .select.is-link select:hover, .select.is-link select.is-hovered {
+      border-color: #2958a4; }
+    .select.is-link select:focus, .select.is-link select.is-focused, .select.is-link select:active, .select.is-link select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .select.is-info:not(:hover)::after {
+    border-color: #209cee; }
+  .select.is-info select {
+    border-color: #209cee; }
+    .select.is-info select:hover, .select.is-info select.is-hovered {
+      border-color: #118fe4; }
+    .select.is-info select:focus, .select.is-info select.is-focused, .select.is-info select:active, .select.is-info select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); }
+  .select.is-success:not(:hover)::after {
+    border-color: #22c35b; }
+  .select.is-success select {
+    border-color: #22c35b; }
+    .select.is-success select:hover, .select.is-success select.is-hovered {
+      border-color: #1ead51; }
+    .select.is-success select:focus, .select.is-success select.is-focused, .select.is-success select:active, .select.is-success select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); }
+  .select.is-warning:not(:hover)::after {
+    border-color: #ffdd57; }
+  .select.is-warning select {
+    border-color: #ffdd57; }
+    .select.is-warning select:hover, .select.is-warning select.is-hovered {
+      border-color: #ffd83d; }
+    .select.is-warning select:focus, .select.is-warning select.is-focused, .select.is-warning select:active, .select.is-warning select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); }
+  .select.is-danger:not(:hover)::after {
+    border-color: #da0b00; }
+  .select.is-danger select {
+    border-color: #da0b00; }
+    .select.is-danger select:hover, .select.is-danger select.is-hovered {
+      border-color: #c10a00; }
+    .select.is-danger select:focus, .select.is-danger select.is-focused, .select.is-danger select:active, .select.is-danger select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); }
+  .select.is-small, #documenter .docs-sidebar form.docs-search > input.select {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .select.is-medium {
+    font-size: 1.25rem; }
+  .select.is-large {
+    font-size: 1.5rem; }
+  .select.is-disabled::after {
+    border-color: #7a7a7a; }
+  .select.is-fullwidth {
+    width: 100%; }
+    .select.is-fullwidth select {
+      width: 100%; }
+  .select.is-loading::after {
+    margin-top: 0;
+    position: absolute;
+    right: 0.625em;
+    top: 0.625em;
+    transform: none; }
+  .select.is-loading.is-small:after, #documenter .docs-sidebar form.docs-search > input.select.is-loading:after {
+    font-size: 0.75rem; }
+  .select.is-loading.is-medium:after {
+    font-size: 1.25rem; }
+  .select.is-loading.is-large:after {
+    font-size: 1.5rem; }
+
+.file {
+  align-items: stretch;
+  display: flex;
+  justify-content: flex-start;
+  position: relative; }
+  .file.is-white .file-cta {
+    background-color: white;
+    border-color: transparent;
+    color: #0a0a0a; }
+  .file.is-white:hover .file-cta, .file.is-white.is-hovered .file-cta {
+    background-color: #f9f9f9;
+    border-color: transparent;
+    color: #0a0a0a; }
+  .file.is-white:focus .file-cta, .file.is-white.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(255, 255, 255, 0.25);
+    color: #0a0a0a; }
+  .file.is-white:active .file-cta, .file.is-white.is-active .file-cta {
+    background-color: #f2f2f2;
+    border-color: transparent;
+    color: #0a0a0a; }
+  .file.is-black .file-cta {
+    background-color: #0a0a0a;
+    border-color: transparent;
+    color: white; }
+  .file.is-black:hover .file-cta, .file.is-black.is-hovered .file-cta {
+    background-color: #040404;
+    border-color: transparent;
+    color: white; }
+  .file.is-black:focus .file-cta, .file.is-black.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(10, 10, 10, 0.25);
+    color: white; }
+  .file.is-black:active .file-cta, .file.is-black.is-active .file-cta {
+    background-color: black;
+    border-color: transparent;
+    color: white; }
+  .file.is-light .file-cta {
+    background-color: whitesmoke;
+    border-color: transparent;
+    color: #363636; }
+  .file.is-light:hover .file-cta, .file.is-light.is-hovered .file-cta {
+    background-color: #eeeeee;
+    border-color: transparent;
+    color: #363636; }
+  .file.is-light:focus .file-cta, .file.is-light.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(245, 245, 245, 0.25);
+    color: #363636; }
+  .file.is-light:active .file-cta, .file.is-light.is-active .file-cta {
+    background-color: #e8e8e8;
+    border-color: transparent;
+    color: #363636; }
+  .file.is-dark .file-cta, .content kbd.file .file-cta {
+    background-color: #363636;
+    border-color: transparent;
+    color: whitesmoke; }
+  .file.is-dark:hover .file-cta, .content kbd.file:hover .file-cta, .file.is-dark.is-hovered .file-cta, .content kbd.file.is-hovered .file-cta {
+    background-color: #2f2f2f;
+    border-color: transparent;
+    color: whitesmoke; }
+  .file.is-dark:focus .file-cta, .content kbd.file:focus .file-cta, .file.is-dark.is-focused .file-cta, .content kbd.file.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(54, 54, 54, 0.25);
+    color: whitesmoke; }
+  .file.is-dark:active .file-cta, .content kbd.file:active .file-cta, .file.is-dark.is-active .file-cta, .content kbd.file.is-active .file-cta {
+    background-color: #292929;
+    border-color: transparent;
+    color: whitesmoke; }
+  .file.is-primary .file-cta, .docstring > section > a.file.docs-sourcelink .file-cta {
+    background-color: #4eb5de;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-primary:hover .file-cta, .docstring > section > a.file.docs-sourcelink:hover .file-cta, .file.is-primary.is-hovered .file-cta, .docstring > section > a.file.is-hovered.docs-sourcelink .file-cta {
+    background-color: #43b1dc;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-primary:focus .file-cta, .docstring > section > a.file.docs-sourcelink:focus .file-cta, .file.is-primary.is-focused .file-cta, .docstring > section > a.file.is-focused.docs-sourcelink .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(78, 181, 222, 0.25);
+    color: #fff; }
+  .file.is-primary:active .file-cta, .docstring > section > a.file.docs-sourcelink:active .file-cta, .file.is-primary.is-active .file-cta, .docstring > section > a.file.is-active.docs-sourcelink .file-cta {
+    background-color: #39acda;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-link .file-cta {
+    background-color: #2e63b8;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-link:hover .file-cta, .file.is-link.is-hovered .file-cta {
+    background-color: #2b5eae;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-link:focus .file-cta, .file.is-link.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(46, 99, 184, 0.25);
+    color: #fff; }
+  .file.is-link:active .file-cta, .file.is-link.is-active .file-cta {
+    background-color: #2958a4;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-info .file-cta {
+    background-color: #209cee;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-info:hover .file-cta, .file.is-info.is-hovered .file-cta {
+    background-color: #1496ed;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-info:focus .file-cta, .file.is-info.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(32, 156, 238, 0.25);
+    color: #fff; }
+  .file.is-info:active .file-cta, .file.is-info.is-active .file-cta {
+    background-color: #118fe4;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-success .file-cta {
+    background-color: #22c35b;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-success:hover .file-cta, .file.is-success.is-hovered .file-cta {
+    background-color: #20b856;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-success:focus .file-cta, .file.is-success.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(34, 195, 91, 0.25);
+    color: #fff; }
+  .file.is-success:active .file-cta, .file.is-success.is-active .file-cta {
+    background-color: #1ead51;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-warning .file-cta {
+    background-color: #ffdd57;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-warning:hover .file-cta, .file.is-warning.is-hovered .file-cta {
+    background-color: #ffdb4a;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-warning:focus .file-cta, .file.is-warning.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(255, 221, 87, 0.25);
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-warning:active .file-cta, .file.is-warning.is-active .file-cta {
+    background-color: #ffd83d;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-danger .file-cta {
+    background-color: #da0b00;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-danger:hover .file-cta, .file.is-danger.is-hovered .file-cta {
+    background-color: #cd0a00;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-danger:focus .file-cta, .file.is-danger.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(218, 11, 0, 0.25);
+    color: #fff; }
+  .file.is-danger:active .file-cta, .file.is-danger.is-active .file-cta {
+    background-color: #c10a00;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-small, #documenter .docs-sidebar form.docs-search > input.file {
+    font-size: 0.75rem; }
+  .file.is-medium {
+    font-size: 1.25rem; }
+    .file.is-medium .file-icon .fa {
+      font-size: 21px; }
+  .file.is-large {
+    font-size: 1.5rem; }
+    .file.is-large .file-icon .fa {
+      font-size: 28px; }
+  .file.has-name .file-cta {
+    border-bottom-right-radius: 0;
+    border-top-right-radius: 0; }
+  .file.has-name .file-name {
+    border-bottom-left-radius: 0;
+    border-top-left-radius: 0; }
+  .file.has-name.is-empty .file-cta {
+    border-radius: 4px; }
+  .file.has-name.is-empty .file-name {
+    display: none; }
+  .file.is-boxed .file-label {
+    flex-direction: column; }
+  .file.is-boxed .file-cta {
+    flex-direction: column;
+    height: auto;
+    padding: 1em 3em; }
+  .file.is-boxed .file-name {
+    border-width: 0 1px 1px; }
+  .file.is-boxed .file-icon {
+    height: 1.5em;
+    width: 1.5em; }
+    .file.is-boxed .file-icon .fa {
+      font-size: 21px; }
+  .file.is-boxed.is-small .file-icon .fa, #documenter .docs-sidebar form.docs-search > input.file.is-boxed .file-icon .fa {
+    font-size: 14px; }
+  .file.is-boxed.is-medium .file-icon .fa {
+    font-size: 28px; }
+  .file.is-boxed.is-large .file-icon .fa {
+    font-size: 35px; }
+  .file.is-boxed.has-name .file-cta {
+    border-radius: 4px 4px 0 0; }
+  .file.is-boxed.has-name .file-name {
+    border-radius: 0 0 4px 4px;
+    border-width: 0 1px 1px; }
+  .file.is-centered {
+    justify-content: center; }
+  .file.is-fullwidth .file-label {
+    width: 100%; }
+  .file.is-fullwidth .file-name {
+    flex-grow: 1;
+    max-width: none; }
+  .file.is-right {
+    justify-content: flex-end; }
+    .file.is-right .file-cta {
+      border-radius: 0 4px 4px 0; }
+    .file.is-right .file-name {
+      border-radius: 4px 0 0 4px;
+      border-width: 1px 0 1px 1px;
+      order: -1; }
+
+.file-label {
+  align-items: stretch;
+  display: flex;
+  cursor: pointer;
+  justify-content: flex-start;
+  overflow: hidden;
+  position: relative; }
+  .file-label:hover .file-cta {
+    background-color: #eeeeee;
+    color: #363636; }
+  .file-label:hover .file-name {
+    border-color: #d5d5d5; }
+  .file-label:active .file-cta {
+    background-color: #e8e8e8;
+    color: #363636; }
+  .file-label:active .file-name {
+    border-color: #cfcfcf; }
+
+.file-input {
+  height: 100%;
+  left: 0;
+  opacity: 0;
+  outline: none;
+  position: absolute;
+  top: 0;
+  width: 100%; }
+
+.file-cta,
+.file-name {
+  border-color: #dbdbdb;
+  border-radius: 4px;
+  font-size: 1em;
+  padding-left: 1em;
+  padding-right: 1em;
+  white-space: nowrap; }
+
+.file-cta {
+  background-color: whitesmoke;
+  color: #4a4a4a; }
+
+.file-name {
+  border-color: #dbdbdb;
+  border-style: solid;
+  border-width: 1px 1px 1px 0;
+  display: block;
+  max-width: 16em;
+  overflow: hidden;
+  text-align: left;
+  text-overflow: ellipsis; }
+
+.file-icon {
+  align-items: center;
+  display: flex;
+  height: 1em;
+  justify-content: center;
+  margin-right: 0.5em;
+  width: 1em; }
+  .file-icon .fa {
+    font-size: 14px; }
+
+.label {
+  color: #363636;
+  display: block;
+  font-size: 1rem;
+  font-weight: 700; }
+  .label:not(:last-child) {
+    margin-bottom: 0.5em; }
+  .label.is-small, #documenter .docs-sidebar form.docs-search > input.label {
+    font-size: 0.75rem; }
+  .label.is-medium {
+    font-size: 1.25rem; }
+  .label.is-large {
+    font-size: 1.5rem; }
+
+.help {
+  display: block;
+  font-size: 0.75rem;
+  margin-top: 0.25rem; }
+  .help.is-white {
+    color: white; }
+  .help.is-black {
+    color: #0a0a0a; }
+  .help.is-light {
+    color: whitesmoke; }
+  .help.is-dark, .content kbd.help {
+    color: #363636; }
+  .help.is-primary, .docstring > section > a.help.docs-sourcelink {
+    color: #4eb5de; }
+  .help.is-link {
+    color: #2e63b8; }
+  .help.is-info {
+    color: #209cee; }
+  .help.is-success {
+    color: #22c35b; }
+  .help.is-warning {
+    color: #ffdd57; }
+  .help.is-danger {
+    color: #da0b00; }
+
+.field:not(:last-child) {
+  margin-bottom: 0.75rem; }
+
+.field.has-addons {
+  display: flex;
+  justify-content: flex-start; }
+  .field.has-addons .control:not(:last-child) {
+    margin-right: -1px; }
+  .field.has-addons .control:not(:first-child):not(:last-child) .button,
+  .field.has-addons .control:not(:first-child):not(:last-child) .input,
+  .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search > input,
+  #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search > input,
+  .field.has-addons .control:not(:first-child):not(:last-child) .select select {
+    border-radius: 0; }
+  .field.has-addons .control:first-child:not(:only-child) .button,
+  .field.has-addons .control:first-child:not(:only-child) .input,
+  .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+  #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search > input,
+  .field.has-addons .control:first-child:not(:only-child) .select select {
+    border-bottom-right-radius: 0;
+    border-top-right-radius: 0; }
+  .field.has-addons .control:last-child:not(:only-child) .button,
+  .field.has-addons .control:last-child:not(:only-child) .input,
+  .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+  #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search > input,
+  .field.has-addons .control:last-child:not(:only-child) .select select {
+    border-bottom-left-radius: 0;
+    border-top-left-radius: 0; }
+  .field.has-addons .control .button:not([disabled]):hover, .field.has-addons .control .button:not([disabled]).is-hovered,
+  .field.has-addons .control .input:not([disabled]):hover,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):hover,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):hover,
+  .field.has-addons .control .input:not([disabled]).is-hovered,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-hovered,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-hovered,
+  .field.has-addons .control .select select:not([disabled]):hover,
+  .field.has-addons .control .select select:not([disabled]).is-hovered {
+    z-index: 2; }
+  .field.has-addons .control .button:not([disabled]):focus, .field.has-addons .control .button:not([disabled]).is-focused, .field.has-addons .control .button:not([disabled]):active, .field.has-addons .control .button:not([disabled]).is-active,
+  .field.has-addons .control .input:not([disabled]):focus,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus,
+  .field.has-addons .control .input:not([disabled]).is-focused,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-focused,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-focused,
+  .field.has-addons .control .input:not([disabled]):active,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active,
+  .field.has-addons .control .input:not([disabled]).is-active,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-active,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-active,
+  .field.has-addons .control .select select:not([disabled]):focus,
+  .field.has-addons .control .select select:not([disabled]).is-focused,
+  .field.has-addons .control .select select:not([disabled]):active,
+  .field.has-addons .control .select select:not([disabled]).is-active {
+    z-index: 3; }
+    .field.has-addons .control .button:not([disabled]):focus:hover, .field.has-addons .control .button:not([disabled]).is-focused:hover, .field.has-addons .control .button:not([disabled]):active:hover, .field.has-addons .control .button:not([disabled]).is-active:hover,
+    .field.has-addons .control .input:not([disabled]):focus:hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus:hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus:hover,
+    .field.has-addons .control .input:not([disabled]).is-focused:hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-focused:hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-focused:hover,
+    .field.has-addons .control .input:not([disabled]):active:hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active:hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active:hover,
+    .field.has-addons .control .input:not([disabled]).is-active:hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-active:hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-active:hover,
+    .field.has-addons .control .select select:not([disabled]):focus:hover,
+    .field.has-addons .control .select select:not([disabled]).is-focused:hover,
+    .field.has-addons .control .select select:not([disabled]):active:hover,
+    .field.has-addons .control .select select:not([disabled]).is-active:hover {
+      z-index: 4; }
+  .field.has-addons .control.is-expanded {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .field.has-addons.has-addons-centered {
+    justify-content: center; }
+  .field.has-addons.has-addons-right {
+    justify-content: flex-end; }
+  .field.has-addons.has-addons-fullwidth .control {
+    flex-grow: 1;
+    flex-shrink: 0; }
+
+.field.is-grouped {
+  display: flex;
+  justify-content: flex-start; }
+  .field.is-grouped > .control {
+    flex-shrink: 0; }
+    .field.is-grouped > .control:not(:last-child) {
+      margin-bottom: 0;
+      margin-right: 0.75rem; }
+    .field.is-grouped > .control.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+  .field.is-grouped.is-grouped-centered {
+    justify-content: center; }
+  .field.is-grouped.is-grouped-right {
+    justify-content: flex-end; }
+  .field.is-grouped.is-grouped-multiline {
+    flex-wrap: wrap; }
+    .field.is-grouped.is-grouped-multiline > .control:last-child, .field.is-grouped.is-grouped-multiline > .control:not(:last-child) {
+      margin-bottom: 0.75rem; }
+    .field.is-grouped.is-grouped-multiline:last-child {
+      margin-bottom: -0.75rem; }
+    .field.is-grouped.is-grouped-multiline:not(:last-child) {
+      margin-bottom: 0; }
+
+@media screen and (min-width: 769px), print {
+  .field.is-horizontal {
+    display: flex; } }
+
+.field-label .label {
+  font-size: inherit; }
+
+@media screen and (max-width: 768px) {
+  .field-label {
+    margin-bottom: 0.5rem; } }
+
+@media screen and (min-width: 769px), print {
+  .field-label {
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 0;
+    margin-right: 1.5rem;
+    text-align: right; }
+    .field-label.is-small, #documenter .docs-sidebar form.docs-search > input.field-label {
+      font-size: 0.75rem;
+      padding-top: 0.375em; }
+    .field-label.is-normal {
+      padding-top: 0.375em; }
+    .field-label.is-medium {
+      font-size: 1.25rem;
+      padding-top: 0.375em; }
+    .field-label.is-large {
+      font-size: 1.5rem;
+      padding-top: 0.375em; } }
+
+.field-body .field .field {
+  margin-bottom: 0; }
+
+@media screen and (min-width: 769px), print {
+  .field-body {
+    display: flex;
+    flex-basis: 0;
+    flex-grow: 5;
+    flex-shrink: 1; }
+    .field-body .field {
+      margin-bottom: 0; }
+    .field-body > .field {
+      flex-shrink: 1; }
+      .field-body > .field:not(.is-narrow) {
+        flex-grow: 1; }
+      .field-body > .field:not(:last-child) {
+        margin-right: 0.75rem; } }
+
+.control {
+  box-sizing: border-box;
+  clear: both;
+  font-size: 1rem;
+  position: relative;
+  text-align: left; }
+  .control.has-icons-left .input:focus ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input:focus ~ .icon,
+  .control.has-icons-left .select:focus ~ .icon, .control.has-icons-right .input:focus ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input:focus ~ .icon,
+  .control.has-icons-right .select:focus ~ .icon {
+    color: #7a7a7a; }
+  .control.has-icons-left .input.is-small ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input ~ .icon,
+  .control.has-icons-left .select.is-small ~ .icon,
+  .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.select ~ .icon,
+  #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.select ~ .icon, .control.has-icons-right .input.is-small ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input ~ .icon,
+  .control.has-icons-right .select.is-small ~ .icon,
+  .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.select ~ .icon,
+  #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.select ~ .icon {
+    font-size: 0.75rem; }
+  .control.has-icons-left .input.is-medium ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-medium ~ .icon,
+  .control.has-icons-left .select.is-medium ~ .icon, .control.has-icons-right .input.is-medium ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-medium ~ .icon,
+  .control.has-icons-right .select.is-medium ~ .icon {
+    font-size: 1.25rem; }
+  .control.has-icons-left .input.is-large ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-large ~ .icon,
+  .control.has-icons-left .select.is-large ~ .icon, .control.has-icons-right .input.is-large ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-large ~ .icon,
+  .control.has-icons-right .select.is-large ~ .icon {
+    font-size: 1.5rem; }
+  .control.has-icons-left .icon, .control.has-icons-right .icon {
+    color: #dbdbdb;
+    height: 2.25em;
+    pointer-events: none;
+    position: absolute;
+    top: 0;
+    width: 2.25em;
+    z-index: 4; }
+  .control.has-icons-left .input, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input,
+  .control.has-icons-left .select select {
+    padding-left: 2.25em; }
+  .control.has-icons-left .icon.is-left {
+    left: 0; }
+  .control.has-icons-right .input, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input,
+  .control.has-icons-right .select select {
+    padding-right: 2.25em; }
+  .control.has-icons-right .icon.is-right {
+    right: 0; }
+  .control.is-loading::after {
+    position: absolute !important;
+    right: 0.625em;
+    top: 0.625em;
+    z-index: 4; }
+  .control.is-loading.is-small:after, #documenter .docs-sidebar form.docs-search > input.control.is-loading:after {
+    font-size: 0.75rem; }
+  .control.is-loading.is-medium:after {
+    font-size: 1.25rem; }
+  .control.is-loading.is-large:after {
+    font-size: 1.5rem; }
+
+.breadcrumb {
+  font-size: 1rem;
+  white-space: nowrap; }
+  .breadcrumb a {
+    align-items: center;
+    color: #2e63b8;
+    display: flex;
+    justify-content: center;
+    padding: 0 0.75em; }
+    .breadcrumb a:hover {
+      color: #363636; }
+  .breadcrumb li {
+    align-items: center;
+    display: flex; }
+    .breadcrumb li:first-child a {
+      padding-left: 0; }
+    .breadcrumb li.is-active a {
+      color: #222222;
+      cursor: default;
+      pointer-events: none; }
+    .breadcrumb li + li::before {
+      color: #b5b5b5;
+      content: "\0002f"; }
+  .breadcrumb ul,
+  .breadcrumb ol {
+    align-items: flex-start;
+    display: flex;
+    flex-wrap: wrap;
+    justify-content: flex-start; }
+  .breadcrumb .icon:first-child {
+    margin-right: 0.5em; }
+  .breadcrumb .icon:last-child {
+    margin-left: 0.5em; }
+  .breadcrumb.is-centered ol,
+  .breadcrumb.is-centered ul {
+    justify-content: center; }
+  .breadcrumb.is-right ol,
+  .breadcrumb.is-right ul {
+    justify-content: flex-end; }
+  .breadcrumb.is-small, #documenter .docs-sidebar form.docs-search > input.breadcrumb {
+    font-size: 0.75rem; }
+  .breadcrumb.is-medium {
+    font-size: 1.25rem; }
+  .breadcrumb.is-large {
+    font-size: 1.5rem; }
+  .breadcrumb.has-arrow-separator li + li::before {
+    content: "\02192"; }
+  .breadcrumb.has-bullet-separator li + li::before {
+    content: "\02022"; }
+  .breadcrumb.has-dot-separator li + li::before {
+    content: "\000b7"; }
+  .breadcrumb.has-succeeds-separator li + li::before {
+    content: "\0227B"; }
+
+.card {
+  background-color: white;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+  color: #222222;
+  max-width: 100%;
+  position: relative; }
+
+.card-header {
+  background-color: transparent;
+  align-items: stretch;
+  box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+  display: flex; }
+
+.card-header-title {
+  align-items: center;
+  color: #222222;
+  display: flex;
+  flex-grow: 1;
+  font-weight: 700;
+  padding: 0.75rem; }
+  .card-header-title.is-centered {
+    justify-content: center; }
+
+.card-header-icon {
+  align-items: center;
+  cursor: pointer;
+  display: flex;
+  justify-content: center;
+  padding: 0.75rem; }
+
+.card-image {
+  display: block;
+  position: relative; }
+
+.card-content {
+  background-color: transparent;
+  padding: 1rem 1.25rem; }
+
+.card-footer {
+  background-color: transparent;
+  border-top: 1px solid #dbdbdb;
+  align-items: stretch;
+  display: flex; }
+
+.card-footer-item {
+  align-items: center;
+  display: flex;
+  flex-basis: 0;
+  flex-grow: 1;
+  flex-shrink: 0;
+  justify-content: center;
+  padding: 0.75rem; }
+  .card-footer-item:not(:last-child) {
+    border-right: 1px solid #dbdbdb; }
+
+.card .media:not(:last-child) {
+  margin-bottom: 1.5rem; }
+
+.dropdown {
+  display: inline-flex;
+  position: relative;
+  vertical-align: top; }
+  .dropdown.is-active .dropdown-menu, .dropdown.is-hoverable:hover .dropdown-menu {
+    display: block; }
+  .dropdown.is-right .dropdown-menu {
+    left: auto;
+    right: 0; }
+  .dropdown.is-up .dropdown-menu {
+    bottom: 100%;
+    padding-bottom: 4px;
+    padding-top: initial;
+    top: auto; }
+
+.dropdown-menu {
+  display: none;
+  left: 0;
+  min-width: 12rem;
+  padding-top: 4px;
+  position: absolute;
+  top: 100%;
+  z-index: 20; }
+
+.dropdown-content {
+  background-color: white;
+  border-radius: 4px;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+  padding-bottom: 0.5rem;
+  padding-top: 0.5rem; }
+
+.dropdown-item {
+  color: #4a4a4a;
+  display: block;
+  font-size: 0.875rem;
+  line-height: 1.5;
+  padding: 0.375rem 1rem;
+  position: relative; }
+
+a.dropdown-item,
+button.dropdown-item {
+  padding-right: 3rem;
+  text-align: left;
+  white-space: nowrap;
+  width: 100%; }
+  a.dropdown-item:hover,
+  button.dropdown-item:hover {
+    background-color: whitesmoke;
+    color: #0a0a0a; }
+  a.dropdown-item.is-active,
+  button.dropdown-item.is-active {
+    background-color: #2e63b8;
+    color: #fff; }
+
+.dropdown-divider {
+  background-color: #dbdbdb;
+  border: none;
+  display: block;
+  height: 1px;
+  margin: 0.5rem 0; }
+
+.level {
+  align-items: center;
+  justify-content: space-between; }
+  .level code {
+    border-radius: 4px; }
+  .level img {
+    display: inline-block;
+    vertical-align: top; }
+  .level.is-mobile {
+    display: flex; }
+    .level.is-mobile .level-left,
+    .level.is-mobile .level-right {
+      display: flex; }
+    .level.is-mobile .level-left + .level-right {
+      margin-top: 0; }
+    .level.is-mobile .level-item:not(:last-child) {
+      margin-bottom: 0;
+      margin-right: 0.75rem; }
+    .level.is-mobile .level-item:not(.is-narrow) {
+      flex-grow: 1; }
+  @media screen and (min-width: 769px), print {
+    .level {
+      display: flex; }
+      .level > .level-item:not(.is-narrow) {
+        flex-grow: 1; } }
+
+.level-item {
+  align-items: center;
+  display: flex;
+  flex-basis: auto;
+  flex-grow: 0;
+  flex-shrink: 0;
+  justify-content: center; }
+  .level-item .title,
+  .level-item .subtitle {
+    margin-bottom: 0; }
+  @media screen and (max-width: 768px) {
+    .level-item:not(:last-child) {
+      margin-bottom: 0.75rem; } }
+
+.level-left,
+.level-right {
+  flex-basis: auto;
+  flex-grow: 0;
+  flex-shrink: 0; }
+  .level-left .level-item.is-flexible,
+  .level-right .level-item.is-flexible {
+    flex-grow: 1; }
+  @media screen and (min-width: 769px), print {
+    .level-left .level-item:not(:last-child),
+    .level-right .level-item:not(:last-child) {
+      margin-right: 0.75rem; } }
+
+.level-left {
+  align-items: center;
+  justify-content: flex-start; }
+  @media screen and (max-width: 768px) {
+    .level-left + .level-right {
+      margin-top: 1.5rem; } }
+  @media screen and (min-width: 769px), print {
+    .level-left {
+      display: flex; } }
+
+.level-right {
+  align-items: center;
+  justify-content: flex-end; }
+  @media screen and (min-width: 769px), print {
+    .level-right {
+      display: flex; } }
+
+.list {
+  background-color: white;
+  border-radius: 4px;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); }
+
+.list-item {
+  display: block;
+  padding: 0.5em 1em; }
+  .list-item:not(a) {
+    color: #222222; }
+  .list-item:first-child {
+    border-top-left-radius: 4px;
+    border-top-right-radius: 4px; }
+  .list-item:last-child {
+    border-bottom-left-radius: 4px;
+    border-bottom-right-radius: 4px; }
+  .list-item:not(:last-child) {
+    border-bottom: 1px solid #dbdbdb; }
+  .list-item.is-active {
+    background-color: #2e63b8;
+    color: #fff; }
+
+a.list-item {
+  background-color: whitesmoke;
+  cursor: pointer; }
+
+.media {
+  align-items: flex-start;
+  display: flex;
+  text-align: left; }
+  .media .content:not(:last-child) {
+    margin-bottom: 0.75rem; }
+  .media .media {
+    border-top: 1px solid rgba(219, 219, 219, 0.5);
+    display: flex;
+    padding-top: 0.75rem; }
+    .media .media .content:not(:last-child),
+    .media .media .control:not(:last-child) {
+      margin-bottom: 0.5rem; }
+    .media .media .media {
+      padding-top: 0.5rem; }
+      .media .media .media + .media {
+        margin-top: 0.5rem; }
+  .media + .media {
+    border-top: 1px solid rgba(219, 219, 219, 0.5);
+    margin-top: 1rem;
+    padding-top: 1rem; }
+  .media.is-large + .media {
+    margin-top: 1.5rem;
+    padding-top: 1.5rem; }
+
+.media-left,
+.media-right {
+  flex-basis: auto;
+  flex-grow: 0;
+  flex-shrink: 0; }
+
+.media-left {
+  margin-right: 1rem; }
+
+.media-right {
+  margin-left: 1rem; }
+
+.media-content {
+  flex-basis: auto;
+  flex-grow: 1;
+  flex-shrink: 1;
+  text-align: left; }
+
+@media screen and (max-width: 768px) {
+  .media-content {
+    overflow-x: auto; } }
+
+.menu {
+  font-size: 1rem; }
+  .menu.is-small, #documenter .docs-sidebar form.docs-search > input.menu {
+    font-size: 0.75rem; }
+  .menu.is-medium {
+    font-size: 1.25rem; }
+  .menu.is-large {
+    font-size: 1.5rem; }
+
+.menu-list {
+  line-height: 1.25; }
+  .menu-list a {
+    border-radius: 2px;
+    color: #222222;
+    display: block;
+    padding: 0.5em 0.75em; }
+    .menu-list a:hover {
+      background-color: whitesmoke;
+      color: #222222; }
+    .menu-list a.is-active {
+      background-color: #2e63b8;
+      color: #fff; }
+  .menu-list li ul {
+    border-left: 1px solid #dbdbdb;
+    margin: 0.75em;
+    padding-left: 0.75em; }
+
+.menu-label {
+  color: #7a7a7a;
+  font-size: 0.75em;
+  letter-spacing: 0.1em;
+  text-transform: uppercase; }
+  .menu-label:not(:first-child) {
+    margin-top: 1em; }
+  .menu-label:not(:last-child) {
+    margin-bottom: 1em; }
+
+.message {
+  background-color: whitesmoke;
+  border-radius: 4px;
+  font-size: 1rem; }
+  .message strong {
+    color: currentColor; }
+  .message a:not(.button):not(.tag):not(.dropdown-item) {
+    color: currentColor;
+    text-decoration: underline; }
+  .message.is-small, #documenter .docs-sidebar form.docs-search > input.message {
+    font-size: 0.75rem; }
+  .message.is-medium {
+    font-size: 1.25rem; }
+  .message.is-large {
+    font-size: 1.5rem; }
+  .message.is-white {
+    background-color: white; }
+    .message.is-white .message-header {
+      background-color: white;
+      color: #0a0a0a; }
+    .message.is-white .message-body {
+      border-color: white;
+      color: #4d4d4d; }
+  .message.is-black {
+    background-color: #fafafa; }
+    .message.is-black .message-header {
+      background-color: #0a0a0a;
+      color: white; }
+    .message.is-black .message-body {
+      border-color: #0a0a0a;
+      color: #090909; }
+  .message.is-light {
+    background-color: #fafafa; }
+    .message.is-light .message-header {
+      background-color: whitesmoke;
+      color: #363636; }
+    .message.is-light .message-body {
+      border-color: whitesmoke;
+      color: #505050; }
+  .message.is-dark, .content kbd.message {
+    background-color: #fafafa; }
+    .message.is-dark .message-header, .content kbd.message .message-header {
+      background-color: #363636;
+      color: whitesmoke; }
+    .message.is-dark .message-body, .content kbd.message .message-body {
+      border-color: #363636;
+      color: #2a2a2a; }
+  .message.is-primary, .docstring > section > a.message.docs-sourcelink {
+    background-color: #f6fbfd; }
+    .message.is-primary .message-header, .docstring > section > a.message.docs-sourcelink .message-header {
+      background-color: #4eb5de;
+      color: #fff; }
+    .message.is-primary .message-body, .docstring > section > a.message.docs-sourcelink .message-body {
+      border-color: #4eb5de;
+      color: #1f556a; }
+  .message.is-link {
+    background-color: #f7f9fd; }
+    .message.is-link .message-header {
+      background-color: #2e63b8;
+      color: #fff; }
+    .message.is-link .message-body {
+      border-color: #2e63b8;
+      color: #264981; }
+  .message.is-info {
+    background-color: #f6fbfe; }
+    .message.is-info .message-header {
+      background-color: #209cee;
+      color: #fff; }
+    .message.is-info .message-body {
+      border-color: #209cee;
+      color: #12537e; }
+  .message.is-success {
+    background-color: #f6fdf9; }
+    .message.is-success .message-header {
+      background-color: #22c35b;
+      color: #fff; }
+    .message.is-success .message-body {
+      border-color: #22c35b;
+      color: #0f361d; }
+  .message.is-warning {
+    background-color: #fffdf5; }
+    .message.is-warning .message-header {
+      background-color: #ffdd57;
+      color: rgba(0, 0, 0, 0.7); }
+    .message.is-warning .message-body {
+      border-color: #ffdd57;
+      color: #3b3108; }
+  .message.is-danger {
+    background-color: #fff5f5; }
+    .message.is-danger .message-header {
+      background-color: #da0b00;
+      color: #fff; }
+    .message.is-danger .message-body {
+      border-color: #da0b00;
+      color: #9b0c04; }
+
+.message-header {
+  align-items: center;
+  background-color: #222222;
+  border-radius: 4px 4px 0 0;
+  color: #fff;
+  display: flex;
+  font-weight: 700;
+  justify-content: space-between;
+  line-height: 1.25;
+  padding: 0.75em;
+  position: relative; }
+  .message-header .delete {
+    flex-grow: 0;
+    flex-shrink: 0;
+    margin-left: 0.75em; }
+  .message-header + .message-body {
+    border-width: 0;
+    border-top-left-radius: 0;
+    border-top-right-radius: 0; }
+
+.message-body {
+  border-color: #dbdbdb;
+  border-radius: 4px;
+  border-style: solid;
+  border-width: 0 0 0 4px;
+  color: #222222;
+  padding: 1em 1.25em; }
+  .message-body code,
+  .message-body pre {
+    background-color: white; }
+  .message-body pre code {
+    background-color: transparent; }
+
+.modal {
+  align-items: center;
+  display: none;
+  flex-direction: column;
+  justify-content: center;
+  overflow: hidden;
+  position: fixed;
+  z-index: 40; }
+  .modal.is-active {
+    display: flex; }
+
+.modal-background {
+  background-color: rgba(10, 10, 10, 0.86); }
+
+.modal-content,
+.modal-card {
+  margin: 0 20px;
+  max-height: calc(100vh - 160px);
+  overflow: auto;
+  position: relative;
+  width: 100%; }
+  @media screen and (min-width: 769px), print {
+    .modal-content,
+    .modal-card {
+      margin: 0 auto;
+      max-height: calc(100vh - 40px);
+      width: 640px; } }
+
+.modal-close {
+  background: none;
+  height: 40px;
+  position: fixed;
+  right: 20px;
+  top: 20px;
+  width: 40px; }
+
+.modal-card {
+  display: flex;
+  flex-direction: column;
+  max-height: calc(100vh - 40px);
+  overflow: hidden;
+  -ms-overflow-y: visible; }
+
+.modal-card-head,
+.modal-card-foot {
+  align-items: center;
+  background-color: whitesmoke;
+  display: flex;
+  flex-shrink: 0;
+  justify-content: flex-start;
+  padding: 20px;
+  position: relative; }
+
+.modal-card-head {
+  border-bottom: 1px solid #dbdbdb;
+  border-top-left-radius: 6px;
+  border-top-right-radius: 6px; }
+
+.modal-card-title {
+  color: #222222;
+  flex-grow: 1;
+  flex-shrink: 0;
+  font-size: 1.5rem;
+  line-height: 1; }
+
+.modal-card-foot {
+  border-bottom-left-radius: 6px;
+  border-bottom-right-radius: 6px;
+  border-top: 1px solid #dbdbdb; }
+  .modal-card-foot .button:not(:last-child) {
+    margin-right: 0.5em; }
+
+.modal-card-body {
+  -webkit-overflow-scrolling: touch;
+  background-color: white;
+  flex-grow: 1;
+  flex-shrink: 1;
+  overflow: auto;
+  padding: 20px; }
+
+.navbar {
+  background-color: white;
+  min-height: 3.25rem;
+  position: relative;
+  z-index: 30; }
+  .navbar.is-white {
+    background-color: white;
+    color: #0a0a0a; }
+    .navbar.is-white .navbar-brand > .navbar-item,
+    .navbar.is-white .navbar-brand .navbar-link {
+      color: #0a0a0a; }
+    .navbar.is-white .navbar-brand > a.navbar-item:focus, .navbar.is-white .navbar-brand > a.navbar-item:hover, .navbar.is-white .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-white .navbar-brand .navbar-link:focus,
+    .navbar.is-white .navbar-brand .navbar-link:hover,
+    .navbar.is-white .navbar-brand .navbar-link.is-active {
+      background-color: #f2f2f2;
+      color: #0a0a0a; }
+    .navbar.is-white .navbar-brand .navbar-link::after {
+      border-color: #0a0a0a; }
+    .navbar.is-white .navbar-burger {
+      color: #0a0a0a; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-white .navbar-start > .navbar-item,
+      .navbar.is-white .navbar-start .navbar-link,
+      .navbar.is-white .navbar-end > .navbar-item,
+      .navbar.is-white .navbar-end .navbar-link {
+        color: #0a0a0a; }
+      .navbar.is-white .navbar-start > a.navbar-item:focus, .navbar.is-white .navbar-start > a.navbar-item:hover, .navbar.is-white .navbar-start > a.navbar-item.is-active,
+      .navbar.is-white .navbar-start .navbar-link:focus,
+      .navbar.is-white .navbar-start .navbar-link:hover,
+      .navbar.is-white .navbar-start .navbar-link.is-active,
+      .navbar.is-white .navbar-end > a.navbar-item:focus,
+      .navbar.is-white .navbar-end > a.navbar-item:hover,
+      .navbar.is-white .navbar-end > a.navbar-item.is-active,
+      .navbar.is-white .navbar-end .navbar-link:focus,
+      .navbar.is-white .navbar-end .navbar-link:hover,
+      .navbar.is-white .navbar-end .navbar-link.is-active {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      .navbar.is-white .navbar-start .navbar-link::after,
+      .navbar.is-white .navbar-end .navbar-link::after {
+        border-color: #0a0a0a; }
+      .navbar.is-white .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-white .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-white .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      .navbar.is-white .navbar-dropdown a.navbar-item.is-active {
+        background-color: white;
+        color: #0a0a0a; } }
+  .navbar.is-black {
+    background-color: #0a0a0a;
+    color: white; }
+    .navbar.is-black .navbar-brand > .navbar-item,
+    .navbar.is-black .navbar-brand .navbar-link {
+      color: white; }
+    .navbar.is-black .navbar-brand > a.navbar-item:focus, .navbar.is-black .navbar-brand > a.navbar-item:hover, .navbar.is-black .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-black .navbar-brand .navbar-link:focus,
+    .navbar.is-black .navbar-brand .navbar-link:hover,
+    .navbar.is-black .navbar-brand .navbar-link.is-active {
+      background-color: black;
+      color: white; }
+    .navbar.is-black .navbar-brand .navbar-link::after {
+      border-color: white; }
+    .navbar.is-black .navbar-burger {
+      color: white; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-black .navbar-start > .navbar-item,
+      .navbar.is-black .navbar-start .navbar-link,
+      .navbar.is-black .navbar-end > .navbar-item,
+      .navbar.is-black .navbar-end .navbar-link {
+        color: white; }
+      .navbar.is-black .navbar-start > a.navbar-item:focus, .navbar.is-black .navbar-start > a.navbar-item:hover, .navbar.is-black .navbar-start > a.navbar-item.is-active,
+      .navbar.is-black .navbar-start .navbar-link:focus,
+      .navbar.is-black .navbar-start .navbar-link:hover,
+      .navbar.is-black .navbar-start .navbar-link.is-active,
+      .navbar.is-black .navbar-end > a.navbar-item:focus,
+      .navbar.is-black .navbar-end > a.navbar-item:hover,
+      .navbar.is-black .navbar-end > a.navbar-item.is-active,
+      .navbar.is-black .navbar-end .navbar-link:focus,
+      .navbar.is-black .navbar-end .navbar-link:hover,
+      .navbar.is-black .navbar-end .navbar-link.is-active {
+        background-color: black;
+        color: white; }
+      .navbar.is-black .navbar-start .navbar-link::after,
+      .navbar.is-black .navbar-end .navbar-link::after {
+        border-color: white; }
+      .navbar.is-black .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-black .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-black .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: black;
+        color: white; }
+      .navbar.is-black .navbar-dropdown a.navbar-item.is-active {
+        background-color: #0a0a0a;
+        color: white; } }
+  .navbar.is-light {
+    background-color: whitesmoke;
+    color: #363636; }
+    .navbar.is-light .navbar-brand > .navbar-item,
+    .navbar.is-light .navbar-brand .navbar-link {
+      color: #363636; }
+    .navbar.is-light .navbar-brand > a.navbar-item:focus, .navbar.is-light .navbar-brand > a.navbar-item:hover, .navbar.is-light .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-light .navbar-brand .navbar-link:focus,
+    .navbar.is-light .navbar-brand .navbar-link:hover,
+    .navbar.is-light .navbar-brand .navbar-link.is-active {
+      background-color: #e8e8e8;
+      color: #363636; }
+    .navbar.is-light .navbar-brand .navbar-link::after {
+      border-color: #363636; }
+    .navbar.is-light .navbar-burger {
+      color: #363636; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-light .navbar-start > .navbar-item,
+      .navbar.is-light .navbar-start .navbar-link,
+      .navbar.is-light .navbar-end > .navbar-item,
+      .navbar.is-light .navbar-end .navbar-link {
+        color: #363636; }
+      .navbar.is-light .navbar-start > a.navbar-item:focus, .navbar.is-light .navbar-start > a.navbar-item:hover, .navbar.is-light .navbar-start > a.navbar-item.is-active,
+      .navbar.is-light .navbar-start .navbar-link:focus,
+      .navbar.is-light .navbar-start .navbar-link:hover,
+      .navbar.is-light .navbar-start .navbar-link.is-active,
+      .navbar.is-light .navbar-end > a.navbar-item:focus,
+      .navbar.is-light .navbar-end > a.navbar-item:hover,
+      .navbar.is-light .navbar-end > a.navbar-item.is-active,
+      .navbar.is-light .navbar-end .navbar-link:focus,
+      .navbar.is-light .navbar-end .navbar-link:hover,
+      .navbar.is-light .navbar-end .navbar-link.is-active {
+        background-color: #e8e8e8;
+        color: #363636; }
+      .navbar.is-light .navbar-start .navbar-link::after,
+      .navbar.is-light .navbar-end .navbar-link::after {
+        border-color: #363636; }
+      .navbar.is-light .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-light .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-light .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #e8e8e8;
+        color: #363636; }
+      .navbar.is-light .navbar-dropdown a.navbar-item.is-active {
+        background-color: whitesmoke;
+        color: #363636; } }
+  .navbar.is-dark, .content kbd.navbar {
+    background-color: #363636;
+    color: whitesmoke; }
+    .navbar.is-dark .navbar-brand > .navbar-item, .content kbd.navbar .navbar-brand > .navbar-item,
+    .navbar.is-dark .navbar-brand .navbar-link,
+    .content kbd.navbar .navbar-brand .navbar-link {
+      color: whitesmoke; }
+    .navbar.is-dark .navbar-brand > a.navbar-item:focus, .content kbd.navbar .navbar-brand > a.navbar-item:focus, .navbar.is-dark .navbar-brand > a.navbar-item:hover, .content kbd.navbar .navbar-brand > a.navbar-item:hover, .navbar.is-dark .navbar-brand > a.navbar-item.is-active, .content kbd.navbar .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-dark .navbar-brand .navbar-link:focus,
+    .content kbd.navbar .navbar-brand .navbar-link:focus,
+    .navbar.is-dark .navbar-brand .navbar-link:hover,
+    .content kbd.navbar .navbar-brand .navbar-link:hover,
+    .navbar.is-dark .navbar-brand .navbar-link.is-active,
+    .content kbd.navbar .navbar-brand .navbar-link.is-active {
+      background-color: #292929;
+      color: whitesmoke; }
+    .navbar.is-dark .navbar-brand .navbar-link::after, .content kbd.navbar .navbar-brand .navbar-link::after {
+      border-color: whitesmoke; }
+    .navbar.is-dark .navbar-burger, .content kbd.navbar .navbar-burger {
+      color: whitesmoke; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-dark .navbar-start > .navbar-item, .content kbd.navbar .navbar-start > .navbar-item,
+      .navbar.is-dark .navbar-start .navbar-link,
+      .content kbd.navbar .navbar-start .navbar-link,
+      .navbar.is-dark .navbar-end > .navbar-item,
+      .content kbd.navbar .navbar-end > .navbar-item,
+      .navbar.is-dark .navbar-end .navbar-link,
+      .content kbd.navbar .navbar-end .navbar-link {
+        color: whitesmoke; }
+      .navbar.is-dark .navbar-start > a.navbar-item:focus, .content kbd.navbar .navbar-start > a.navbar-item:focus, .navbar.is-dark .navbar-start > a.navbar-item:hover, .content kbd.navbar .navbar-start > a.navbar-item:hover, .navbar.is-dark .navbar-start > a.navbar-item.is-active, .content kbd.navbar .navbar-start > a.navbar-item.is-active,
+      .navbar.is-dark .navbar-start .navbar-link:focus,
+      .content kbd.navbar .navbar-start .navbar-link:focus,
+      .navbar.is-dark .navbar-start .navbar-link:hover,
+      .content kbd.navbar .navbar-start .navbar-link:hover,
+      .navbar.is-dark .navbar-start .navbar-link.is-active,
+      .content kbd.navbar .navbar-start .navbar-link.is-active,
+      .navbar.is-dark .navbar-end > a.navbar-item:focus,
+      .content kbd.navbar .navbar-end > a.navbar-item:focus,
+      .navbar.is-dark .navbar-end > a.navbar-item:hover,
+      .content kbd.navbar .navbar-end > a.navbar-item:hover,
+      .navbar.is-dark .navbar-end > a.navbar-item.is-active,
+      .content kbd.navbar .navbar-end > a.navbar-item.is-active,
+      .navbar.is-dark .navbar-end .navbar-link:focus,
+      .content kbd.navbar .navbar-end .navbar-link:focus,
+      .navbar.is-dark .navbar-end .navbar-link:hover,
+      .content kbd.navbar .navbar-end .navbar-link:hover,
+      .navbar.is-dark .navbar-end .navbar-link.is-active,
+      .content kbd.navbar .navbar-end .navbar-link.is-active {
+        background-color: #292929;
+        color: whitesmoke; }
+      .navbar.is-dark .navbar-start .navbar-link::after, .content kbd.navbar .navbar-start .navbar-link::after,
+      .navbar.is-dark .navbar-end .navbar-link::after,
+      .content kbd.navbar .navbar-end .navbar-link::after {
+        border-color: whitesmoke; }
+      .navbar.is-dark .navbar-item.has-dropdown:focus .navbar-link, .content kbd.navbar .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-dark .navbar-item.has-dropdown:hover .navbar-link,
+      .content kbd.navbar .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-dark .navbar-item.has-dropdown.is-active .navbar-link,
+      .content kbd.navbar .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #292929;
+        color: whitesmoke; }
+      .navbar.is-dark .navbar-dropdown a.navbar-item.is-active, .content kbd.navbar .navbar-dropdown a.navbar-item.is-active {
+        background-color: #363636;
+        color: whitesmoke; } }
+  .navbar.is-primary, .docstring > section > a.navbar.docs-sourcelink {
+    background-color: #4eb5de;
+    color: #fff; }
+    .navbar.is-primary .navbar-brand > .navbar-item, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > .navbar-item,
+    .navbar.is-primary .navbar-brand .navbar-link,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-primary .navbar-brand > a.navbar-item:focus, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:focus, .navbar.is-primary .navbar-brand > a.navbar-item:hover, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:hover, .navbar.is-primary .navbar-brand > a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-primary .navbar-brand .navbar-link:focus,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:focus,
+    .navbar.is-primary .navbar-brand .navbar-link:hover,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:hover,
+    .navbar.is-primary .navbar-brand .navbar-link.is-active,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link.is-active {
+      background-color: #39acda;
+      color: #fff; }
+    .navbar.is-primary .navbar-brand .navbar-link::after, .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-primary .navbar-burger, .docstring > section > a.navbar.docs-sourcelink .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-primary .navbar-start > .navbar-item, .docstring > section > a.navbar.docs-sourcelink .navbar-start > .navbar-item,
+      .navbar.is-primary .navbar-start .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link,
+      .navbar.is-primary .navbar-end > .navbar-item,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > .navbar-item,
+      .navbar.is-primary .navbar-end .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-primary .navbar-start > a.navbar-item:focus, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:focus, .navbar.is-primary .navbar-start > a.navbar-item:hover, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:hover, .navbar.is-primary .navbar-start > a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item.is-active,
+      .navbar.is-primary .navbar-start .navbar-link:focus,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:focus,
+      .navbar.is-primary .navbar-start .navbar-link:hover,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:hover,
+      .navbar.is-primary .navbar-start .navbar-link.is-active,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link.is-active,
+      .navbar.is-primary .navbar-end > a.navbar-item:focus,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:focus,
+      .navbar.is-primary .navbar-end > a.navbar-item:hover,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:hover,
+      .navbar.is-primary .navbar-end > a.navbar-item.is-active,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item.is-active,
+      .navbar.is-primary .navbar-end .navbar-link:focus,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:focus,
+      .navbar.is-primary .navbar-end .navbar-link:hover,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:hover,
+      .navbar.is-primary .navbar-end .navbar-link.is-active,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link.is-active {
+        background-color: #39acda;
+        color: #fff; }
+      .navbar.is-primary .navbar-start .navbar-link::after, .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link::after,
+      .navbar.is-primary .navbar-end .navbar-link::after,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-primary .navbar-item.has-dropdown:focus .navbar-link, .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-primary .navbar-item.has-dropdown:hover .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-primary .navbar-item.has-dropdown.is-active .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #39acda;
+        color: #fff; }
+      .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active {
+        background-color: #4eb5de;
+        color: #fff; } }
+  .navbar.is-link {
+    background-color: #2e63b8;
+    color: #fff; }
+    .navbar.is-link .navbar-brand > .navbar-item,
+    .navbar.is-link .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-link .navbar-brand > a.navbar-item:focus, .navbar.is-link .navbar-brand > a.navbar-item:hover, .navbar.is-link .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-link .navbar-brand .navbar-link:focus,
+    .navbar.is-link .navbar-brand .navbar-link:hover,
+    .navbar.is-link .navbar-brand .navbar-link.is-active {
+      background-color: #2958a4;
+      color: #fff; }
+    .navbar.is-link .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-link .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-link .navbar-start > .navbar-item,
+      .navbar.is-link .navbar-start .navbar-link,
+      .navbar.is-link .navbar-end > .navbar-item,
+      .navbar.is-link .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-link .navbar-start > a.navbar-item:focus, .navbar.is-link .navbar-start > a.navbar-item:hover, .navbar.is-link .navbar-start > a.navbar-item.is-active,
+      .navbar.is-link .navbar-start .navbar-link:focus,
+      .navbar.is-link .navbar-start .navbar-link:hover,
+      .navbar.is-link .navbar-start .navbar-link.is-active,
+      .navbar.is-link .navbar-end > a.navbar-item:focus,
+      .navbar.is-link .navbar-end > a.navbar-item:hover,
+      .navbar.is-link .navbar-end > a.navbar-item.is-active,
+      .navbar.is-link .navbar-end .navbar-link:focus,
+      .navbar.is-link .navbar-end .navbar-link:hover,
+      .navbar.is-link .navbar-end .navbar-link.is-active {
+        background-color: #2958a4;
+        color: #fff; }
+      .navbar.is-link .navbar-start .navbar-link::after,
+      .navbar.is-link .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-link .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-link .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-link .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #2958a4;
+        color: #fff; }
+      .navbar.is-link .navbar-dropdown a.navbar-item.is-active {
+        background-color: #2e63b8;
+        color: #fff; } }
+  .navbar.is-info {
+    background-color: #209cee;
+    color: #fff; }
+    .navbar.is-info .navbar-brand > .navbar-item,
+    .navbar.is-info .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-info .navbar-brand > a.navbar-item:focus, .navbar.is-info .navbar-brand > a.navbar-item:hover, .navbar.is-info .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-info .navbar-brand .navbar-link:focus,
+    .navbar.is-info .navbar-brand .navbar-link:hover,
+    .navbar.is-info .navbar-brand .navbar-link.is-active {
+      background-color: #118fe4;
+      color: #fff; }
+    .navbar.is-info .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-info .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-info .navbar-start > .navbar-item,
+      .navbar.is-info .navbar-start .navbar-link,
+      .navbar.is-info .navbar-end > .navbar-item,
+      .navbar.is-info .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-info .navbar-start > a.navbar-item:focus, .navbar.is-info .navbar-start > a.navbar-item:hover, .navbar.is-info .navbar-start > a.navbar-item.is-active,
+      .navbar.is-info .navbar-start .navbar-link:focus,
+      .navbar.is-info .navbar-start .navbar-link:hover,
+      .navbar.is-info .navbar-start .navbar-link.is-active,
+      .navbar.is-info .navbar-end > a.navbar-item:focus,
+      .navbar.is-info .navbar-end > a.navbar-item:hover,
+      .navbar.is-info .navbar-end > a.navbar-item.is-active,
+      .navbar.is-info .navbar-end .navbar-link:focus,
+      .navbar.is-info .navbar-end .navbar-link:hover,
+      .navbar.is-info .navbar-end .navbar-link.is-active {
+        background-color: #118fe4;
+        color: #fff; }
+      .navbar.is-info .navbar-start .navbar-link::after,
+      .navbar.is-info .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-info .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-info .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-info .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #118fe4;
+        color: #fff; }
+      .navbar.is-info .navbar-dropdown a.navbar-item.is-active {
+        background-color: #209cee;
+        color: #fff; } }
+  .navbar.is-success {
+    background-color: #22c35b;
+    color: #fff; }
+    .navbar.is-success .navbar-brand > .navbar-item,
+    .navbar.is-success .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-success .navbar-brand > a.navbar-item:focus, .navbar.is-success .navbar-brand > a.navbar-item:hover, .navbar.is-success .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-success .navbar-brand .navbar-link:focus,
+    .navbar.is-success .navbar-brand .navbar-link:hover,
+    .navbar.is-success .navbar-brand .navbar-link.is-active {
+      background-color: #1ead51;
+      color: #fff; }
+    .navbar.is-success .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-success .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-success .navbar-start > .navbar-item,
+      .navbar.is-success .navbar-start .navbar-link,
+      .navbar.is-success .navbar-end > .navbar-item,
+      .navbar.is-success .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-success .navbar-start > a.navbar-item:focus, .navbar.is-success .navbar-start > a.navbar-item:hover, .navbar.is-success .navbar-start > a.navbar-item.is-active,
+      .navbar.is-success .navbar-start .navbar-link:focus,
+      .navbar.is-success .navbar-start .navbar-link:hover,
+      .navbar.is-success .navbar-start .navbar-link.is-active,
+      .navbar.is-success .navbar-end > a.navbar-item:focus,
+      .navbar.is-success .navbar-end > a.navbar-item:hover,
+      .navbar.is-success .navbar-end > a.navbar-item.is-active,
+      .navbar.is-success .navbar-end .navbar-link:focus,
+      .navbar.is-success .navbar-end .navbar-link:hover,
+      .navbar.is-success .navbar-end .navbar-link.is-active {
+        background-color: #1ead51;
+        color: #fff; }
+      .navbar.is-success .navbar-start .navbar-link::after,
+      .navbar.is-success .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-success .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-success .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-success .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #1ead51;
+        color: #fff; }
+      .navbar.is-success .navbar-dropdown a.navbar-item.is-active {
+        background-color: #22c35b;
+        color: #fff; } }
+  .navbar.is-warning {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-brand > .navbar-item,
+    .navbar.is-warning .navbar-brand .navbar-link {
+      color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-brand > a.navbar-item:focus, .navbar.is-warning .navbar-brand > a.navbar-item:hover, .navbar.is-warning .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-warning .navbar-brand .navbar-link:focus,
+    .navbar.is-warning .navbar-brand .navbar-link:hover,
+    .navbar.is-warning .navbar-brand .navbar-link.is-active {
+      background-color: #ffd83d;
+      color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-brand .navbar-link::after {
+      border-color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-burger {
+      color: rgba(0, 0, 0, 0.7); }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-warning .navbar-start > .navbar-item,
+      .navbar.is-warning .navbar-start .navbar-link,
+      .navbar.is-warning .navbar-end > .navbar-item,
+      .navbar.is-warning .navbar-end .navbar-link {
+        color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-start > a.navbar-item:focus, .navbar.is-warning .navbar-start > a.navbar-item:hover, .navbar.is-warning .navbar-start > a.navbar-item.is-active,
+      .navbar.is-warning .navbar-start .navbar-link:focus,
+      .navbar.is-warning .navbar-start .navbar-link:hover,
+      .navbar.is-warning .navbar-start .navbar-link.is-active,
+      .navbar.is-warning .navbar-end > a.navbar-item:focus,
+      .navbar.is-warning .navbar-end > a.navbar-item:hover,
+      .navbar.is-warning .navbar-end > a.navbar-item.is-active,
+      .navbar.is-warning .navbar-end .navbar-link:focus,
+      .navbar.is-warning .navbar-end .navbar-link:hover,
+      .navbar.is-warning .navbar-end .navbar-link.is-active {
+        background-color: #ffd83d;
+        color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-start .navbar-link::after,
+      .navbar.is-warning .navbar-end .navbar-link::after {
+        border-color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-warning .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-warning .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #ffd83d;
+        color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-dropdown a.navbar-item.is-active {
+        background-color: #ffdd57;
+        color: rgba(0, 0, 0, 0.7); } }
+  .navbar.is-danger {
+    background-color: #da0b00;
+    color: #fff; }
+    .navbar.is-danger .navbar-brand > .navbar-item,
+    .navbar.is-danger .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-danger .navbar-brand > a.navbar-item:focus, .navbar.is-danger .navbar-brand > a.navbar-item:hover, .navbar.is-danger .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-danger .navbar-brand .navbar-link:focus,
+    .navbar.is-danger .navbar-brand .navbar-link:hover,
+    .navbar.is-danger .navbar-brand .navbar-link.is-active {
+      background-color: #c10a00;
+      color: #fff; }
+    .navbar.is-danger .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-danger .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-danger .navbar-start > .navbar-item,
+      .navbar.is-danger .navbar-start .navbar-link,
+      .navbar.is-danger .navbar-end > .navbar-item,
+      .navbar.is-danger .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-danger .navbar-start > a.navbar-item:focus, .navbar.is-danger .navbar-start > a.navbar-item:hover, .navbar.is-danger .navbar-start > a.navbar-item.is-active,
+      .navbar.is-danger .navbar-start .navbar-link:focus,
+      .navbar.is-danger .navbar-start .navbar-link:hover,
+      .navbar.is-danger .navbar-start .navbar-link.is-active,
+      .navbar.is-danger .navbar-end > a.navbar-item:focus,
+      .navbar.is-danger .navbar-end > a.navbar-item:hover,
+      .navbar.is-danger .navbar-end > a.navbar-item.is-active,
+      .navbar.is-danger .navbar-end .navbar-link:focus,
+      .navbar.is-danger .navbar-end .navbar-link:hover,
+      .navbar.is-danger .navbar-end .navbar-link.is-active {
+        background-color: #c10a00;
+        color: #fff; }
+      .navbar.is-danger .navbar-start .navbar-link::after,
+      .navbar.is-danger .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-danger .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-danger .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-danger .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #c10a00;
+        color: #fff; }
+      .navbar.is-danger .navbar-dropdown a.navbar-item.is-active {
+        background-color: #da0b00;
+        color: #fff; } }
+  .navbar > .container {
+    align-items: stretch;
+    display: flex;
+    min-height: 3.25rem;
+    width: 100%; }
+  .navbar.has-shadow {
+    box-shadow: 0 2px 0 0 whitesmoke; }
+  .navbar.is-fixed-bottom, .navbar.is-fixed-top {
+    left: 0;
+    position: fixed;
+    right: 0;
+    z-index: 30; }
+  .navbar.is-fixed-bottom {
+    bottom: 0; }
+    .navbar.is-fixed-bottom.has-shadow {
+      box-shadow: 0 -2px 0 0 whitesmoke; }
+  .navbar.is-fixed-top {
+    top: 0; }
+
+html.has-navbar-fixed-top,
+body.has-navbar-fixed-top {
+  padding-top: 3.25rem; }
+
+html.has-navbar-fixed-bottom,
+body.has-navbar-fixed-bottom {
+  padding-bottom: 3.25rem; }
+
+.navbar-brand,
+.navbar-tabs {
+  align-items: stretch;
+  display: flex;
+  flex-shrink: 0;
+  min-height: 3.25rem; }
+
+.navbar-brand a.navbar-item:focus, .navbar-brand a.navbar-item:hover {
+  background-color: transparent; }
+
+.navbar-tabs {
+  -webkit-overflow-scrolling: touch;
+  max-width: 100vw;
+  overflow-x: auto;
+  overflow-y: hidden; }
+
+.navbar-burger {
+  color: #4a4a4a;
+  cursor: pointer;
+  display: block;
+  height: 3.25rem;
+  position: relative;
+  width: 3.25rem;
+  margin-left: auto; }
+  .navbar-burger span {
+    background-color: currentColor;
+    display: block;
+    height: 1px;
+    left: calc(50% - 8px);
+    position: absolute;
+    transform-origin: center;
+    transition-duration: 86ms;
+    transition-property: background-color, opacity, transform;
+    transition-timing-function: ease-out;
+    width: 16px; }
+    .navbar-burger span:nth-child(1) {
+      top: calc(50% - 6px); }
+    .navbar-burger span:nth-child(2) {
+      top: calc(50% - 1px); }
+    .navbar-burger span:nth-child(3) {
+      top: calc(50% + 4px); }
+  .navbar-burger:hover {
+    background-color: rgba(0, 0, 0, 0.05); }
+  .navbar-burger.is-active span:nth-child(1) {
+    transform: translateY(5px) rotate(45deg); }
+  .navbar-burger.is-active span:nth-child(2) {
+    opacity: 0; }
+  .navbar-burger.is-active span:nth-child(3) {
+    transform: translateY(-5px) rotate(-45deg); }
+
+.navbar-menu {
+  display: none; }
+
+.navbar-item,
+.navbar-link {
+  color: #4a4a4a;
+  display: block;
+  line-height: 1.5;
+  padding: 0.5rem 0.75rem;
+  position: relative; }
+  .navbar-item .icon:only-child,
+  .navbar-link .icon:only-child {
+    margin-left: -0.25rem;
+    margin-right: -0.25rem; }
+
+a.navbar-item,
+.navbar-link {
+  cursor: pointer; }
+  a.navbar-item:focus, a.navbar-item:focus-within, a.navbar-item:hover, a.navbar-item.is-active,
+  .navbar-link:focus,
+  .navbar-link:focus-within,
+  .navbar-link:hover,
+  .navbar-link.is-active {
+    background-color: #fafafa;
+    color: #2e63b8; }
+
+.navbar-item {
+  display: block;
+  flex-grow: 0;
+  flex-shrink: 0; }
+  .navbar-item img {
+    max-height: 1.75rem; }
+  .navbar-item.has-dropdown {
+    padding: 0; }
+  .navbar-item.is-expanded {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .navbar-item.is-tab {
+    border-bottom: 1px solid transparent;
+    min-height: 3.25rem;
+    padding-bottom: calc(0.5rem - 1px); }
+    .navbar-item.is-tab:focus, .navbar-item.is-tab:hover {
+      background-color: transparent;
+      border-bottom-color: #2e63b8; }
+    .navbar-item.is-tab.is-active {
+      background-color: transparent;
+      border-bottom-color: #2e63b8;
+      border-bottom-style: solid;
+      border-bottom-width: 3px;
+      color: #2e63b8;
+      padding-bottom: calc(0.5rem - 3px); }
+
+.navbar-content {
+  flex-grow: 1;
+  flex-shrink: 1; }
+
+.navbar-link:not(.is-arrowless) {
+  padding-right: 2.5em; }
+  .navbar-link:not(.is-arrowless)::after {
+    border-color: #2e63b8;
+    margin-top: -0.375em;
+    right: 1.125em; }
+
+.navbar-dropdown {
+  font-size: 0.875rem;
+  padding-bottom: 0.5rem;
+  padding-top: 0.5rem; }
+  .navbar-dropdown .navbar-item {
+    padding-left: 1.5rem;
+    padding-right: 1.5rem; }
+
+.navbar-divider {
+  background-color: whitesmoke;
+  border: none;
+  display: none;
+  height: 2px;
+  margin: 0.5rem 0; }
+
+@media screen and (max-width: 1055px) {
+  .navbar > .container {
+    display: block; }
+  .navbar-brand .navbar-item,
+  .navbar-tabs .navbar-item {
+    align-items: center;
+    display: flex; }
+  .navbar-link::after {
+    display: none; }
+  .navbar-menu {
+    background-color: white;
+    box-shadow: 0 8px 16px rgba(10, 10, 10, 0.1);
+    padding: 0.5rem 0; }
+    .navbar-menu.is-active {
+      display: block; }
+  .navbar.is-fixed-bottom-touch, .navbar.is-fixed-top-touch {
+    left: 0;
+    position: fixed;
+    right: 0;
+    z-index: 30; }
+  .navbar.is-fixed-bottom-touch {
+    bottom: 0; }
+    .navbar.is-fixed-bottom-touch.has-shadow {
+      box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+  .navbar.is-fixed-top-touch {
+    top: 0; }
+  .navbar.is-fixed-top .navbar-menu, .navbar.is-fixed-top-touch .navbar-menu {
+    -webkit-overflow-scrolling: touch;
+    max-height: calc(100vh - 3.25rem);
+    overflow: auto; }
+  html.has-navbar-fixed-top-touch,
+  body.has-navbar-fixed-top-touch {
+    padding-top: 3.25rem; }
+  html.has-navbar-fixed-bottom-touch,
+  body.has-navbar-fixed-bottom-touch {
+    padding-bottom: 3.25rem; } }
+
+@media screen and (min-width: 1056px) {
+  .navbar,
+  .navbar-menu,
+  .navbar-start,
+  .navbar-end {
+    align-items: stretch;
+    display: flex; }
+  .navbar {
+    min-height: 3.25rem; }
+    .navbar.is-spaced {
+      padding: 1rem 2rem; }
+      .navbar.is-spaced .navbar-start,
+      .navbar.is-spaced .navbar-end {
+        align-items: center; }
+      .navbar.is-spaced a.navbar-item,
+      .navbar.is-spaced .navbar-link {
+        border-radius: 4px; }
+    .navbar.is-transparent a.navbar-item:focus, .navbar.is-transparent a.navbar-item:hover, .navbar.is-transparent a.navbar-item.is-active,
+    .navbar.is-transparent .navbar-link:focus,
+    .navbar.is-transparent .navbar-link:hover,
+    .navbar.is-transparent .navbar-link.is-active {
+      background-color: transparent !important; }
+    .navbar.is-transparent .navbar-item.has-dropdown.is-active .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus-within .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:hover .navbar-link {
+      background-color: transparent !important; }
+    .navbar.is-transparent .navbar-dropdown a.navbar-item:focus, .navbar.is-transparent .navbar-dropdown a.navbar-item:hover {
+      background-color: whitesmoke;
+      color: #0a0a0a; }
+    .navbar.is-transparent .navbar-dropdown a.navbar-item.is-active {
+      background-color: whitesmoke;
+      color: #2e63b8; }
+  .navbar-burger {
+    display: none; }
+  .navbar-item,
+  .navbar-link {
+    align-items: center;
+    display: flex; }
+  .navbar-item {
+    display: flex; }
+    .navbar-item.has-dropdown {
+      align-items: stretch; }
+    .navbar-item.has-dropdown-up .navbar-link::after {
+      transform: rotate(135deg) translate(0.25em, -0.25em); }
+    .navbar-item.has-dropdown-up .navbar-dropdown {
+      border-bottom: 2px solid #dbdbdb;
+      border-radius: 6px 6px 0 0;
+      border-top: none;
+      bottom: 100%;
+      box-shadow: 0 -8px 8px rgba(10, 10, 10, 0.1);
+      top: auto; }
+    .navbar-item.is-active .navbar-dropdown, .navbar-item.is-hoverable:focus .navbar-dropdown, .navbar-item.is-hoverable:focus-within .navbar-dropdown, .navbar-item.is-hoverable:hover .navbar-dropdown {
+      display: block; }
+      .navbar.is-spaced .navbar-item.is-active .navbar-dropdown, .navbar-item.is-active .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:focus .navbar-dropdown, .navbar-item.is-hoverable:focus .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:focus-within .navbar-dropdown, .navbar-item.is-hoverable:focus-within .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:hover .navbar-dropdown, .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed {
+        opacity: 1;
+        pointer-events: auto;
+        transform: translateY(0); }
+  .navbar-menu {
+    flex-grow: 1;
+    flex-shrink: 0; }
+  .navbar-start {
+    justify-content: flex-start;
+    margin-right: auto; }
+  .navbar-end {
+    justify-content: flex-end;
+    margin-left: auto; }
+  .navbar-dropdown {
+    background-color: white;
+    border-bottom-left-radius: 6px;
+    border-bottom-right-radius: 6px;
+    border-top: 2px solid #dbdbdb;
+    box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1);
+    display: none;
+    font-size: 0.875rem;
+    left: 0;
+    min-width: 100%;
+    position: absolute;
+    top: 100%;
+    z-index: 20; }
+    .navbar-dropdown .navbar-item {
+      padding: 0.375rem 1rem;
+      white-space: nowrap; }
+    .navbar-dropdown a.navbar-item {
+      padding-right: 3rem; }
+      .navbar-dropdown a.navbar-item:focus, .navbar-dropdown a.navbar-item:hover {
+        background-color: whitesmoke;
+        color: #0a0a0a; }
+      .navbar-dropdown a.navbar-item.is-active {
+        background-color: whitesmoke;
+        color: #2e63b8; }
+    .navbar.is-spaced .navbar-dropdown, .navbar-dropdown.is-boxed {
+      border-radius: 6px;
+      border-top: none;
+      box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+      display: block;
+      opacity: 0;
+      pointer-events: none;
+      top: calc(100% + (-4px));
+      transform: translateY(-5px);
+      transition-duration: 86ms;
+      transition-property: opacity, transform; }
+    .navbar-dropdown.is-right {
+      left: auto;
+      right: 0; }
+  .navbar-divider {
+    display: block; }
+  .navbar > .container .navbar-brand,
+  .container > .navbar .navbar-brand {
+    margin-left: -.75rem; }
+  .navbar > .container .navbar-menu,
+  .container > .navbar .navbar-menu {
+    margin-right: -.75rem; }
+  .navbar.is-fixed-bottom-desktop, .navbar.is-fixed-top-desktop {
+    left: 0;
+    position: fixed;
+    right: 0;
+    z-index: 30; }
+  .navbar.is-fixed-bottom-desktop {
+    bottom: 0; }
+    .navbar.is-fixed-bottom-desktop.has-shadow {
+      box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+  .navbar.is-fixed-top-desktop {
+    top: 0; }
+  html.has-navbar-fixed-top-desktop,
+  body.has-navbar-fixed-top-desktop {
+    padding-top: 3.25rem; }
+  html.has-navbar-fixed-bottom-desktop,
+  body.has-navbar-fixed-bottom-desktop {
+    padding-bottom: 3.25rem; }
+  html.has-spaced-navbar-fixed-top,
+  body.has-spaced-navbar-fixed-top {
+    padding-top: 5.25rem; }
+  html.has-spaced-navbar-fixed-bottom,
+  body.has-spaced-navbar-fixed-bottom {
+    padding-bottom: 5.25rem; }
+  a.navbar-item.is-active,
+  .navbar-link.is-active {
+    color: #0a0a0a; }
+  a.navbar-item.is-active:not(:focus):not(:hover),
+  .navbar-link.is-active:not(:focus):not(:hover) {
+    background-color: transparent; }
+  .navbar-item.has-dropdown:focus .navbar-link, .navbar-item.has-dropdown:hover .navbar-link, .navbar-item.has-dropdown.is-active .navbar-link {
+    background-color: #fafafa; } }
+
+.hero.is-fullheight-with-navbar {
+  min-height: calc(100vh - 3.25rem); }
+
+.pagination {
+  font-size: 1rem;
+  margin: -0.25rem; }
+  .pagination.is-small, #documenter .docs-sidebar form.docs-search > input.pagination {
+    font-size: 0.75rem; }
+  .pagination.is-medium {
+    font-size: 1.25rem; }
+  .pagination.is-large {
+    font-size: 1.5rem; }
+  .pagination.is-rounded .pagination-previous, #documenter .docs-sidebar form.docs-search > input.pagination .pagination-previous,
+  .pagination.is-rounded .pagination-next,
+  #documenter .docs-sidebar form.docs-search > input.pagination .pagination-next {
+    padding-left: 1em;
+    padding-right: 1em;
+    border-radius: 290486px; }
+  .pagination.is-rounded .pagination-link, #documenter .docs-sidebar form.docs-search > input.pagination .pagination-link {
+    border-radius: 290486px; }
+
+.pagination,
+.pagination-list {
+  align-items: center;
+  display: flex;
+  justify-content: center;
+  text-align: center; }
+
+.pagination-previous,
+.pagination-next,
+.pagination-link,
+.pagination-ellipsis {
+  font-size: 1em;
+  justify-content: center;
+  margin: 0.25rem;
+  padding-left: 0.5em;
+  padding-right: 0.5em;
+  text-align: center; }
+
+.pagination-previous,
+.pagination-next,
+.pagination-link {
+  border-color: #dbdbdb;
+  color: #363636;
+  min-width: 2.25em; }
+  .pagination-previous:hover,
+  .pagination-next:hover,
+  .pagination-link:hover {
+    border-color: #b5b5b5;
+    color: #363636; }
+  .pagination-previous:focus,
+  .pagination-next:focus,
+  .pagination-link:focus {
+    border-color: #2e63b8; }
+  .pagination-previous:active,
+  .pagination-next:active,
+  .pagination-link:active {
+    box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2); }
+  .pagination-previous[disabled],
+  .pagination-next[disabled],
+  .pagination-link[disabled] {
+    background-color: #dbdbdb;
+    border-color: #dbdbdb;
+    box-shadow: none;
+    color: #7a7a7a;
+    opacity: 0.5; }
+
+.pagination-previous,
+.pagination-next {
+  padding-left: 0.75em;
+  padding-right: 0.75em;
+  white-space: nowrap; }
+
+.pagination-link.is-current {
+  background-color: #2e63b8;
+  border-color: #2e63b8;
+  color: #fff; }
+
+.pagination-ellipsis {
+  color: #b5b5b5;
+  pointer-events: none; }
+
+.pagination-list {
+  flex-wrap: wrap; }
+
+@media screen and (max-width: 768px) {
+  .pagination {
+    flex-wrap: wrap; }
+  .pagination-previous,
+  .pagination-next {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .pagination-list li {
+    flex-grow: 1;
+    flex-shrink: 1; } }
+
+@media screen and (min-width: 769px), print {
+  .pagination-list {
+    flex-grow: 1;
+    flex-shrink: 1;
+    justify-content: flex-start;
+    order: 1; }
+  .pagination-previous {
+    order: 2; }
+  .pagination-next {
+    order: 3; }
+  .pagination {
+    justify-content: space-between; }
+    .pagination.is-centered .pagination-previous {
+      order: 1; }
+    .pagination.is-centered .pagination-list {
+      justify-content: center;
+      order: 2; }
+    .pagination.is-centered .pagination-next {
+      order: 3; }
+    .pagination.is-right .pagination-previous {
+      order: 1; }
+    .pagination.is-right .pagination-next {
+      order: 2; }
+    .pagination.is-right .pagination-list {
+      justify-content: flex-end;
+      order: 3; } }
+
+.panel {
+  font-size: 1rem; }
+  .panel:not(:last-child) {
+    margin-bottom: 1.5rem; }
+
+.panel-heading,
+.panel-tabs,
+.panel-block {
+  border-bottom: 1px solid #dbdbdb;
+  border-left: 1px solid #dbdbdb;
+  border-right: 1px solid #dbdbdb; }
+  .panel-heading:first-child,
+  .panel-tabs:first-child,
+  .panel-block:first-child {
+    border-top: 1px solid #dbdbdb; }
+
+.panel-heading {
+  background-color: whitesmoke;
+  border-radius: 4px 4px 0 0;
+  color: #222222;
+  font-size: 1.25em;
+  font-weight: 300;
+  line-height: 1.25;
+  padding: 0.5em 0.75em; }
+
+.panel-tabs {
+  align-items: flex-end;
+  display: flex;
+  font-size: 0.875em;
+  justify-content: center; }
+  .panel-tabs a {
+    border-bottom: 1px solid #dbdbdb;
+    margin-bottom: -1px;
+    padding: 0.5em; }
+    .panel-tabs a.is-active {
+      border-bottom-color: #4a4a4a;
+      color: #363636; }
+
+.panel-list a {
+  color: #222222; }
+  .panel-list a:hover {
+    color: #2e63b8; }
+
+.panel-block {
+  align-items: center;
+  color: #222222;
+  display: flex;
+  justify-content: flex-start;
+  padding: 0.5em 0.75em; }
+  .panel-block input[type="checkbox"] {
+    margin-right: 0.75em; }
+  .panel-block > .control {
+    flex-grow: 1;
+    flex-shrink: 1;
+    width: 100%; }
+  .panel-block.is-wrapped {
+    flex-wrap: wrap; }
+  .panel-block.is-active {
+    border-left-color: #2e63b8;
+    color: #363636; }
+    .panel-block.is-active .panel-icon {
+      color: #2e63b8; }
+
+a.panel-block,
+label.panel-block {
+  cursor: pointer; }
+  a.panel-block:hover,
+  label.panel-block:hover {
+    background-color: whitesmoke; }
+
+.panel-icon {
+  display: inline-block;
+  font-size: 14px;
+  height: 1em;
+  line-height: 1em;
+  text-align: center;
+  vertical-align: top;
+  width: 1em;
+  color: #7a7a7a;
+  margin-right: 0.75em; }
+  .panel-icon .fa {
+    font-size: inherit;
+    line-height: inherit; }
+
+.tabs {
+  -webkit-overflow-scrolling: touch;
+  align-items: stretch;
+  display: flex;
+  font-size: 1rem;
+  justify-content: space-between;
+  overflow: hidden;
+  overflow-x: auto;
+  white-space: nowrap; }
+  .tabs a {
+    align-items: center;
+    border-bottom-color: #dbdbdb;
+    border-bottom-style: solid;
+    border-bottom-width: 1px;
+    color: #222222;
+    display: flex;
+    justify-content: center;
+    margin-bottom: -1px;
+    padding: 0.5em 1em;
+    vertical-align: top; }
+    .tabs a:hover {
+      border-bottom-color: #222222;
+      color: #222222; }
+  .tabs li {
+    display: block; }
+    .tabs li.is-active a {
+      border-bottom-color: #2e63b8;
+      color: #2e63b8; }
+  .tabs ul {
+    align-items: center;
+    border-bottom-color: #dbdbdb;
+    border-bottom-style: solid;
+    border-bottom-width: 1px;
+    display: flex;
+    flex-grow: 1;
+    flex-shrink: 0;
+    justify-content: flex-start; }
+    .tabs ul.is-left {
+      padding-right: 0.75em; }
+    .tabs ul.is-center {
+      flex: none;
+      justify-content: center;
+      padding-left: 0.75em;
+      padding-right: 0.75em; }
+    .tabs ul.is-right {
+      justify-content: flex-end;
+      padding-left: 0.75em; }
+  .tabs .icon:first-child {
+    margin-right: 0.5em; }
+  .tabs .icon:last-child {
+    margin-left: 0.5em; }
+  .tabs.is-centered ul {
+    justify-content: center; }
+  .tabs.is-right ul {
+    justify-content: flex-end; }
+  .tabs.is-boxed a {
+    border: 1px solid transparent;
+    border-radius: 4px 4px 0 0; }
+    .tabs.is-boxed a:hover {
+      background-color: whitesmoke;
+      border-bottom-color: #dbdbdb; }
+  .tabs.is-boxed li.is-active a {
+    background-color: white;
+    border-color: #dbdbdb;
+    border-bottom-color: transparent !important; }
+  .tabs.is-fullwidth li {
+    flex-grow: 1;
+    flex-shrink: 0; }
+  .tabs.is-toggle a {
+    border-color: #dbdbdb;
+    border-style: solid;
+    border-width: 1px;
+    margin-bottom: 0;
+    position: relative; }
+    .tabs.is-toggle a:hover {
+      background-color: whitesmoke;
+      border-color: #b5b5b5;
+      z-index: 2; }
+  .tabs.is-toggle li + li {
+    margin-left: -1px; }
+  .tabs.is-toggle li:first-child a {
+    border-radius: 4px 0 0 4px; }
+  .tabs.is-toggle li:last-child a {
+    border-radius: 0 4px 4px 0; }
+  .tabs.is-toggle li.is-active a {
+    background-color: #2e63b8;
+    border-color: #2e63b8;
+    color: #fff;
+    z-index: 1; }
+  .tabs.is-toggle ul {
+    border-bottom: none; }
+  .tabs.is-toggle.is-toggle-rounded li:first-child a {
+    border-bottom-left-radius: 290486px;
+    border-top-left-radius: 290486px;
+    padding-left: 1.25em; }
+  .tabs.is-toggle.is-toggle-rounded li:last-child a {
+    border-bottom-right-radius: 290486px;
+    border-top-right-radius: 290486px;
+    padding-right: 1.25em; }
+  .tabs.is-small, #documenter .docs-sidebar form.docs-search > input.tabs {
+    font-size: 0.75rem; }
+  .tabs.is-medium {
+    font-size: 1.25rem; }
+  .tabs.is-large {
+    font-size: 1.5rem; }
+
+.column {
+  display: block;
+  flex-basis: 0;
+  flex-grow: 1;
+  flex-shrink: 1;
+  padding: 0.75rem; }
+  .columns.is-mobile > .column.is-narrow {
+    flex: none; }
+  .columns.is-mobile > .column.is-full {
+    flex: none;
+    width: 100%; }
+  .columns.is-mobile > .column.is-three-quarters {
+    flex: none;
+    width: 75%; }
+  .columns.is-mobile > .column.is-two-thirds {
+    flex: none;
+    width: 66.6666%; }
+  .columns.is-mobile > .column.is-half {
+    flex: none;
+    width: 50%; }
+  .columns.is-mobile > .column.is-one-third {
+    flex: none;
+    width: 33.3333%; }
+  .columns.is-mobile > .column.is-one-quarter {
+    flex: none;
+    width: 25%; }
+  .columns.is-mobile > .column.is-one-fifth {
+    flex: none;
+    width: 20%; }
+  .columns.is-mobile > .column.is-two-fifths {
+    flex: none;
+    width: 40%; }
+  .columns.is-mobile > .column.is-three-fifths {
+    flex: none;
+    width: 60%; }
+  .columns.is-mobile > .column.is-four-fifths {
+    flex: none;
+    width: 80%; }
+  .columns.is-mobile > .column.is-offset-three-quarters {
+    margin-left: 75%; }
+  .columns.is-mobile > .column.is-offset-two-thirds {
+    margin-left: 66.6666%; }
+  .columns.is-mobile > .column.is-offset-half {
+    margin-left: 50%; }
+  .columns.is-mobile > .column.is-offset-one-third {
+    margin-left: 33.3333%; }
+  .columns.is-mobile > .column.is-offset-one-quarter {
+    margin-left: 25%; }
+  .columns.is-mobile > .column.is-offset-one-fifth {
+    margin-left: 20%; }
+  .columns.is-mobile > .column.is-offset-two-fifths {
+    margin-left: 40%; }
+  .columns.is-mobile > .column.is-offset-three-fifths {
+    margin-left: 60%; }
+  .columns.is-mobile > .column.is-offset-four-fifths {
+    margin-left: 80%; }
+  .columns.is-mobile > .column.is-0 {
+    flex: none;
+    width: 0%; }
+  .columns.is-mobile > .column.is-offset-0 {
+    margin-left: 0%; }
+  .columns.is-mobile > .column.is-1 {
+    flex: none;
+    width: 8.33333%; }
+  .columns.is-mobile > .column.is-offset-1 {
+    margin-left: 8.33333%; }
+  .columns.is-mobile > .column.is-2 {
+    flex: none;
+    width: 16.66667%; }
+  .columns.is-mobile > .column.is-offset-2 {
+    margin-left: 16.66667%; }
+  .columns.is-mobile > .column.is-3 {
+    flex: none;
+    width: 25%; }
+  .columns.is-mobile > .column.is-offset-3 {
+    margin-left: 25%; }
+  .columns.is-mobile > .column.is-4 {
+    flex: none;
+    width: 33.33333%; }
+  .columns.is-mobile > .column.is-offset-4 {
+    margin-left: 33.33333%; }
+  .columns.is-mobile > .column.is-5 {
+    flex: none;
+    width: 41.66667%; }
+  .columns.is-mobile > .column.is-offset-5 {
+    margin-left: 41.66667%; }
+  .columns.is-mobile > .column.is-6 {
+    flex: none;
+    width: 50%; }
+  .columns.is-mobile > .column.is-offset-6 {
+    margin-left: 50%; }
+  .columns.is-mobile > .column.is-7 {
+    flex: none;
+    width: 58.33333%; }
+  .columns.is-mobile > .column.is-offset-7 {
+    margin-left: 58.33333%; }
+  .columns.is-mobile > .column.is-8 {
+    flex: none;
+    width: 66.66667%; }
+  .columns.is-mobile > .column.is-offset-8 {
+    margin-left: 66.66667%; }
+  .columns.is-mobile > .column.is-9 {
+    flex: none;
+    width: 75%; }
+  .columns.is-mobile > .column.is-offset-9 {
+    margin-left: 75%; }
+  .columns.is-mobile > .column.is-10 {
+    flex: none;
+    width: 83.33333%; }
+  .columns.is-mobile > .column.is-offset-10 {
+    margin-left: 83.33333%; }
+  .columns.is-mobile > .column.is-11 {
+    flex: none;
+    width: 91.66667%; }
+  .columns.is-mobile > .column.is-offset-11 {
+    margin-left: 91.66667%; }
+  .columns.is-mobile > .column.is-12 {
+    flex: none;
+    width: 100%; }
+  .columns.is-mobile > .column.is-offset-12 {
+    margin-left: 100%; }
+  @media screen and (max-width: 768px) {
+    .column.is-narrow-mobile {
+      flex: none; }
+    .column.is-full-mobile {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-mobile {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-mobile {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-mobile {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-mobile {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-mobile {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-mobile {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-mobile {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-mobile {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-mobile {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-mobile {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-mobile {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-mobile {
+      margin-left: 50%; }
+    .column.is-offset-one-third-mobile {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-mobile {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-mobile {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-mobile {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-mobile {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-mobile {
+      margin-left: 80%; }
+    .column.is-0-mobile {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-mobile {
+      margin-left: 0%; }
+    .column.is-1-mobile {
+      flex: none;
+      width: 8.33333%; }
+    .column.is-offset-1-mobile {
+      margin-left: 8.33333%; }
+    .column.is-2-mobile {
+      flex: none;
+      width: 16.66667%; }
+    .column.is-offset-2-mobile {
+      margin-left: 16.66667%; }
+    .column.is-3-mobile {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-mobile {
+      margin-left: 25%; }
+    .column.is-4-mobile {
+      flex: none;
+      width: 33.33333%; }
+    .column.is-offset-4-mobile {
+      margin-left: 33.33333%; }
+    .column.is-5-mobile {
+      flex: none;
+      width: 41.66667%; }
+    .column.is-offset-5-mobile {
+      margin-left: 41.66667%; }
+    .column.is-6-mobile {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-mobile {
+      margin-left: 50%; }
+    .column.is-7-mobile {
+      flex: none;
+      width: 58.33333%; }
+    .column.is-offset-7-mobile {
+      margin-left: 58.33333%; }
+    .column.is-8-mobile {
+      flex: none;
+      width: 66.66667%; }
+    .column.is-offset-8-mobile {
+      margin-left: 66.66667%; }
+    .column.is-9-mobile {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-mobile {
+      margin-left: 75%; }
+    .column.is-10-mobile {
+      flex: none;
+      width: 83.33333%; }
+    .column.is-offset-10-mobile {
+      margin-left: 83.33333%; }
+    .column.is-11-mobile {
+      flex: none;
+      width: 91.66667%; }
+    .column.is-offset-11-mobile {
+      margin-left: 91.66667%; }
+    .column.is-12-mobile {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-mobile {
+      margin-left: 100%; } }
+  @media screen and (min-width: 769px), print {
+    .column.is-narrow, .column.is-narrow-tablet {
+      flex: none; }
+    .column.is-full, .column.is-full-tablet {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters, .column.is-three-quarters-tablet {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds, .column.is-two-thirds-tablet {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half, .column.is-half-tablet {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third, .column.is-one-third-tablet {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter, .column.is-one-quarter-tablet {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth, .column.is-one-fifth-tablet {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths, .column.is-two-fifths-tablet {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths, .column.is-three-fifths-tablet {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths, .column.is-four-fifths-tablet {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters, .column.is-offset-three-quarters-tablet {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds, .column.is-offset-two-thirds-tablet {
+      margin-left: 66.6666%; }
+    .column.is-offset-half, .column.is-offset-half-tablet {
+      margin-left: 50%; }
+    .column.is-offset-one-third, .column.is-offset-one-third-tablet {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter, .column.is-offset-one-quarter-tablet {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth, .column.is-offset-one-fifth-tablet {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths, .column.is-offset-two-fifths-tablet {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths, .column.is-offset-three-fifths-tablet {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths, .column.is-offset-four-fifths-tablet {
+      margin-left: 80%; }
+    .column.is-0, .column.is-0-tablet {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0, .column.is-offset-0-tablet {
+      margin-left: 0%; }
+    .column.is-1, .column.is-1-tablet {
+      flex: none;
+      width: 8.33333%; }
+    .column.is-offset-1, .column.is-offset-1-tablet {
+      margin-left: 8.33333%; }
+    .column.is-2, .column.is-2-tablet {
+      flex: none;
+      width: 16.66667%; }
+    .column.is-offset-2, .column.is-offset-2-tablet {
+      margin-left: 16.66667%; }
+    .column.is-3, .column.is-3-tablet {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3, .column.is-offset-3-tablet {
+      margin-left: 25%; }
+    .column.is-4, .column.is-4-tablet {
+      flex: none;
+      width: 33.33333%; }
+    .column.is-offset-4, .column.is-offset-4-tablet {
+      margin-left: 33.33333%; }
+    .column.is-5, .column.is-5-tablet {
+      flex: none;
+      width: 41.66667%; }
+    .column.is-offset-5, .column.is-offset-5-tablet {
+      margin-left: 41.66667%; }
+    .column.is-6, .column.is-6-tablet {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6, .column.is-offset-6-tablet {
+      margin-left: 50%; }
+    .column.is-7, .column.is-7-tablet {
+      flex: none;
+      width: 58.33333%; }
+    .column.is-offset-7, .column.is-offset-7-tablet {
+      margin-left: 58.33333%; }
+    .column.is-8, .column.is-8-tablet {
+      flex: none;
+      width: 66.66667%; }
+    .column.is-offset-8, .column.is-offset-8-tablet {
+      margin-left: 66.66667%; }
+    .column.is-9, .column.is-9-tablet {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9, .column.is-offset-9-tablet {
+      margin-left: 75%; }
+    .column.is-10, .column.is-10-tablet {
+      flex: none;
+      width: 83.33333%; }
+    .column.is-offset-10, .column.is-offset-10-tablet {
+      margin-left: 83.33333%; }
+    .column.is-11, .column.is-11-tablet {
+      flex: none;
+      width: 91.66667%; }
+    .column.is-offset-11, .column.is-offset-11-tablet {
+      margin-left: 91.66667%; }
+    .column.is-12, .column.is-12-tablet {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12, .column.is-offset-12-tablet {
+      margin-left: 100%; } }
+  @media screen and (max-width: 1055px) {
+    .column.is-narrow-touch {
+      flex: none; }
+    .column.is-full-touch {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-touch {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-touch {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-touch {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-touch {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-touch {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-touch {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-touch {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-touch {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-touch {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-touch {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-touch {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-touch {
+      margin-left: 50%; }
+    .column.is-offset-one-third-touch {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-touch {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-touch {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-touch {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-touch {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-touch {
+      margin-left: 80%; }
+    .column.is-0-touch {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-touch {
+      margin-left: 0%; }
+    .column.is-1-touch {
+      flex: none;
+      width: 8.33333%; }
+    .column.is-offset-1-touch {
+      margin-left: 8.33333%; }
+    .column.is-2-touch {
+      flex: none;
+      width: 16.66667%; }
+    .column.is-offset-2-touch {
+      margin-left: 16.66667%; }
+    .column.is-3-touch {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-touch {
+      margin-left: 25%; }
+    .column.is-4-touch {
+      flex: none;
+      width: 33.33333%; }
+    .column.is-offset-4-touch {
+      margin-left: 33.33333%; }
+    .column.is-5-touch {
+      flex: none;
+      width: 41.66667%; }
+    .column.is-offset-5-touch {
+      margin-left: 41.66667%; }
+    .column.is-6-touch {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-touch {
+      margin-left: 50%; }
+    .column.is-7-touch {
+      flex: none;
+      width: 58.33333%; }
+    .column.is-offset-7-touch {
+      margin-left: 58.33333%; }
+    .column.is-8-touch {
+      flex: none;
+      width: 66.66667%; }
+    .column.is-offset-8-touch {
+      margin-left: 66.66667%; }
+    .column.is-9-touch {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-touch {
+      margin-left: 75%; }
+    .column.is-10-touch {
+      flex: none;
+      width: 83.33333%; }
+    .column.is-offset-10-touch {
+      margin-left: 83.33333%; }
+    .column.is-11-touch {
+      flex: none;
+      width: 91.66667%; }
+    .column.is-offset-11-touch {
+      margin-left: 91.66667%; }
+    .column.is-12-touch {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-touch {
+      margin-left: 100%; } }
+  @media screen and (min-width: 1056px) {
+    .column.is-narrow-desktop {
+      flex: none; }
+    .column.is-full-desktop {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-desktop {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-desktop {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-desktop {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-desktop {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-desktop {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-desktop {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-desktop {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-desktop {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-desktop {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-desktop {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-desktop {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-desktop {
+      margin-left: 50%; }
+    .column.is-offset-one-third-desktop {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-desktop {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-desktop {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-desktop {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-desktop {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-desktop {
+      margin-left: 80%; }
+    .column.is-0-desktop {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-desktop {
+      margin-left: 0%; }
+    .column.is-1-desktop {
+      flex: none;
+      width: 8.33333%; }
+    .column.is-offset-1-desktop {
+      margin-left: 8.33333%; }
+    .column.is-2-desktop {
+      flex: none;
+      width: 16.66667%; }
+    .column.is-offset-2-desktop {
+      margin-left: 16.66667%; }
+    .column.is-3-desktop {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-desktop {
+      margin-left: 25%; }
+    .column.is-4-desktop {
+      flex: none;
+      width: 33.33333%; }
+    .column.is-offset-4-desktop {
+      margin-left: 33.33333%; }
+    .column.is-5-desktop {
+      flex: none;
+      width: 41.66667%; }
+    .column.is-offset-5-desktop {
+      margin-left: 41.66667%; }
+    .column.is-6-desktop {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-desktop {
+      margin-left: 50%; }
+    .column.is-7-desktop {
+      flex: none;
+      width: 58.33333%; }
+    .column.is-offset-7-desktop {
+      margin-left: 58.33333%; }
+    .column.is-8-desktop {
+      flex: none;
+      width: 66.66667%; }
+    .column.is-offset-8-desktop {
+      margin-left: 66.66667%; }
+    .column.is-9-desktop {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-desktop {
+      margin-left: 75%; }
+    .column.is-10-desktop {
+      flex: none;
+      width: 83.33333%; }
+    .column.is-offset-10-desktop {
+      margin-left: 83.33333%; }
+    .column.is-11-desktop {
+      flex: none;
+      width: 91.66667%; }
+    .column.is-offset-11-desktop {
+      margin-left: 91.66667%; }
+    .column.is-12-desktop {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-desktop {
+      margin-left: 100%; } }
+  @media screen and (min-width: 1216px) {
+    .column.is-narrow-widescreen {
+      flex: none; }
+    .column.is-full-widescreen {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-widescreen {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-widescreen {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-widescreen {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-widescreen {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-widescreen {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-widescreen {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-widescreen {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-widescreen {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-widescreen {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-widescreen {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-widescreen {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-widescreen {
+      margin-left: 50%; }
+    .column.is-offset-one-third-widescreen {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-widescreen {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-widescreen {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-widescreen {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-widescreen {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-widescreen {
+      margin-left: 80%; }
+    .column.is-0-widescreen {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-widescreen {
+      margin-left: 0%; }
+    .column.is-1-widescreen {
+      flex: none;
+      width: 8.33333%; }
+    .column.is-offset-1-widescreen {
+      margin-left: 8.33333%; }
+    .column.is-2-widescreen {
+      flex: none;
+      width: 16.66667%; }
+    .column.is-offset-2-widescreen {
+      margin-left: 16.66667%; }
+    .column.is-3-widescreen {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-widescreen {
+      margin-left: 25%; }
+    .column.is-4-widescreen {
+      flex: none;
+      width: 33.33333%; }
+    .column.is-offset-4-widescreen {
+      margin-left: 33.33333%; }
+    .column.is-5-widescreen {
+      flex: none;
+      width: 41.66667%; }
+    .column.is-offset-5-widescreen {
+      margin-left: 41.66667%; }
+    .column.is-6-widescreen {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-widescreen {
+      margin-left: 50%; }
+    .column.is-7-widescreen {
+      flex: none;
+      width: 58.33333%; }
+    .column.is-offset-7-widescreen {
+      margin-left: 58.33333%; }
+    .column.is-8-widescreen {
+      flex: none;
+      width: 66.66667%; }
+    .column.is-offset-8-widescreen {
+      margin-left: 66.66667%; }
+    .column.is-9-widescreen {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-widescreen {
+      margin-left: 75%; }
+    .column.is-10-widescreen {
+      flex: none;
+      width: 83.33333%; }
+    .column.is-offset-10-widescreen {
+      margin-left: 83.33333%; }
+    .column.is-11-widescreen {
+      flex: none;
+      width: 91.66667%; }
+    .column.is-offset-11-widescreen {
+      margin-left: 91.66667%; }
+    .column.is-12-widescreen {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-widescreen {
+      margin-left: 100%; } }
+  @media screen and (min-width: 1408px) {
+    .column.is-narrow-fullhd {
+      flex: none; }
+    .column.is-full-fullhd {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-fullhd {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-fullhd {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-fullhd {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-fullhd {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-fullhd {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-fullhd {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-fullhd {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-fullhd {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-fullhd {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-fullhd {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-fullhd {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-fullhd {
+      margin-left: 50%; }
+    .column.is-offset-one-third-fullhd {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-fullhd {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-fullhd {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-fullhd {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-fullhd {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-fullhd {
+      margin-left: 80%; }
+    .column.is-0-fullhd {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-fullhd {
+      margin-left: 0%; }
+    .column.is-1-fullhd {
+      flex: none;
+      width: 8.33333%; }
+    .column.is-offset-1-fullhd {
+      margin-left: 8.33333%; }
+    .column.is-2-fullhd {
+      flex: none;
+      width: 16.66667%; }
+    .column.is-offset-2-fullhd {
+      margin-left: 16.66667%; }
+    .column.is-3-fullhd {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-fullhd {
+      margin-left: 25%; }
+    .column.is-4-fullhd {
+      flex: none;
+      width: 33.33333%; }
+    .column.is-offset-4-fullhd {
+      margin-left: 33.33333%; }
+    .column.is-5-fullhd {
+      flex: none;
+      width: 41.66667%; }
+    .column.is-offset-5-fullhd {
+      margin-left: 41.66667%; }
+    .column.is-6-fullhd {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-fullhd {
+      margin-left: 50%; }
+    .column.is-7-fullhd {
+      flex: none;
+      width: 58.33333%; }
+    .column.is-offset-7-fullhd {
+      margin-left: 58.33333%; }
+    .column.is-8-fullhd {
+      flex: none;
+      width: 66.66667%; }
+    .column.is-offset-8-fullhd {
+      margin-left: 66.66667%; }
+    .column.is-9-fullhd {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-fullhd {
+      margin-left: 75%; }
+    .column.is-10-fullhd {
+      flex: none;
+      width: 83.33333%; }
+    .column.is-offset-10-fullhd {
+      margin-left: 83.33333%; }
+    .column.is-11-fullhd {
+      flex: none;
+      width: 91.66667%; }
+    .column.is-offset-11-fullhd {
+      margin-left: 91.66667%; }
+    .column.is-12-fullhd {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-fullhd {
+      margin-left: 100%; } }
+
+.columns {
+  margin-left: -0.75rem;
+  margin-right: -0.75rem;
+  margin-top: -0.75rem; }
+  .columns:last-child {
+    margin-bottom: -0.75rem; }
+  .columns:not(:last-child) {
+    margin-bottom: calc(1.5rem - 0.75rem); }
+  .columns.is-centered {
+    justify-content: center; }
+  .columns.is-gapless {
+    margin-left: 0;
+    margin-right: 0;
+    margin-top: 0; }
+    .columns.is-gapless > .column {
+      margin: 0;
+      padding: 0 !important; }
+    .columns.is-gapless:not(:last-child) {
+      margin-bottom: 1.5rem; }
+    .columns.is-gapless:last-child {
+      margin-bottom: 0; }
+  .columns.is-mobile {
+    display: flex; }
+  .columns.is-multiline {
+    flex-wrap: wrap; }
+  .columns.is-vcentered {
+    align-items: center; }
+  @media screen and (min-width: 769px), print {
+    .columns:not(.is-desktop) {
+      display: flex; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-desktop {
+      display: flex; } }
+
+.columns.is-variable {
+  --columnGap: 0.75rem;
+  margin-left: calc(-1 * var(--columnGap));
+  margin-right: calc(-1 * var(--columnGap)); }
+  .columns.is-variable .column {
+    padding-left: var(--columnGap);
+    padding-right: var(--columnGap); }
+  .columns.is-variable.is-0 {
+    --columnGap: 0rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-0-mobile {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-0-tablet {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-0-tablet-only {
+      --columnGap: 0rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-0-touch {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-0-desktop {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-0-desktop-only {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-0-widescreen {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-0-widescreen-only {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-0-fullhd {
+      --columnGap: 0rem; } }
+  .columns.is-variable.is-1 {
+    --columnGap: 0.25rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-1-mobile {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-1-tablet {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-1-tablet-only {
+      --columnGap: 0.25rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-1-touch {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-1-desktop {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-1-desktop-only {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-1-widescreen {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-1-widescreen-only {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-1-fullhd {
+      --columnGap: 0.25rem; } }
+  .columns.is-variable.is-2 {
+    --columnGap: 0.5rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-2-mobile {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-2-tablet {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-2-tablet-only {
+      --columnGap: 0.5rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-2-touch {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-2-desktop {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-2-desktop-only {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-2-widescreen {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-2-widescreen-only {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-2-fullhd {
+      --columnGap: 0.5rem; } }
+  .columns.is-variable.is-3 {
+    --columnGap: 0.75rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-3-mobile {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-3-tablet {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-3-tablet-only {
+      --columnGap: 0.75rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-3-touch {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-3-desktop {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-3-desktop-only {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-3-widescreen {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-3-widescreen-only {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-3-fullhd {
+      --columnGap: 0.75rem; } }
+  .columns.is-variable.is-4 {
+    --columnGap: 1rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-4-mobile {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-4-tablet {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-4-tablet-only {
+      --columnGap: 1rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-4-touch {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-4-desktop {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-4-desktop-only {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-4-widescreen {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-4-widescreen-only {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-4-fullhd {
+      --columnGap: 1rem; } }
+  .columns.is-variable.is-5 {
+    --columnGap: 1.25rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-5-mobile {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-5-tablet {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-5-tablet-only {
+      --columnGap: 1.25rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-5-touch {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-5-desktop {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-5-desktop-only {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-5-widescreen {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-5-widescreen-only {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-5-fullhd {
+      --columnGap: 1.25rem; } }
+  .columns.is-variable.is-6 {
+    --columnGap: 1.5rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-6-mobile {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-6-tablet {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-6-tablet-only {
+      --columnGap: 1.5rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-6-touch {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-6-desktop {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-6-desktop-only {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-6-widescreen {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-6-widescreen-only {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-6-fullhd {
+      --columnGap: 1.5rem; } }
+  .columns.is-variable.is-7 {
+    --columnGap: 1.75rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-7-mobile {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-7-tablet {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-7-tablet-only {
+      --columnGap: 1.75rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-7-touch {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-7-desktop {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-7-desktop-only {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-7-widescreen {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-7-widescreen-only {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-7-fullhd {
+      --columnGap: 1.75rem; } }
+  .columns.is-variable.is-8 {
+    --columnGap: 2rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-8-mobile {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-8-tablet {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-8-tablet-only {
+      --columnGap: 2rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-8-touch {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-8-desktop {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-8-desktop-only {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-8-widescreen {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-8-widescreen-only {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-8-fullhd {
+      --columnGap: 2rem; } }
+
+.tile {
+  align-items: stretch;
+  display: block;
+  flex-basis: 0;
+  flex-grow: 1;
+  flex-shrink: 1;
+  min-height: min-content; }
+  .tile.is-ancestor {
+    margin-left: -0.75rem;
+    margin-right: -0.75rem;
+    margin-top: -0.75rem; }
+    .tile.is-ancestor:last-child {
+      margin-bottom: -0.75rem; }
+    .tile.is-ancestor:not(:last-child) {
+      margin-bottom: 0.75rem; }
+  .tile.is-child {
+    margin: 0 !important; }
+  .tile.is-parent {
+    padding: 0.75rem; }
+  .tile.is-vertical {
+    flex-direction: column; }
+    .tile.is-vertical > .tile.is-child:not(:last-child) {
+      margin-bottom: 1.5rem !important; }
+  @media screen and (min-width: 769px), print {
+    .tile:not(.is-child) {
+      display: flex; }
+    .tile.is-1 {
+      flex: none;
+      width: 8.33333%; }
+    .tile.is-2 {
+      flex: none;
+      width: 16.66667%; }
+    .tile.is-3 {
+      flex: none;
+      width: 25%; }
+    .tile.is-4 {
+      flex: none;
+      width: 33.33333%; }
+    .tile.is-5 {
+      flex: none;
+      width: 41.66667%; }
+    .tile.is-6 {
+      flex: none;
+      width: 50%; }
+    .tile.is-7 {
+      flex: none;
+      width: 58.33333%; }
+    .tile.is-8 {
+      flex: none;
+      width: 66.66667%; }
+    .tile.is-9 {
+      flex: none;
+      width: 75%; }
+    .tile.is-10 {
+      flex: none;
+      width: 83.33333%; }
+    .tile.is-11 {
+      flex: none;
+      width: 91.66667%; }
+    .tile.is-12 {
+      flex: none;
+      width: 100%; } }
+
+.hero {
+  align-items: stretch;
+  display: flex;
+  flex-direction: column;
+  justify-content: space-between; }
+  .hero .navbar {
+    background: none; }
+  .hero .tabs ul {
+    border-bottom: none; }
+  .hero.is-white {
+    background-color: white;
+    color: #0a0a0a; }
+    .hero.is-white a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-white strong {
+      color: inherit; }
+    .hero.is-white .title {
+      color: #0a0a0a; }
+    .hero.is-white .subtitle {
+      color: rgba(10, 10, 10, 0.9); }
+      .hero.is-white .subtitle a:not(.button),
+      .hero.is-white .subtitle strong {
+        color: #0a0a0a; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-white .navbar-menu {
+        background-color: white; } }
+    .hero.is-white .navbar-item,
+    .hero.is-white .navbar-link {
+      color: rgba(10, 10, 10, 0.7); }
+    .hero.is-white a.navbar-item:hover, .hero.is-white a.navbar-item.is-active,
+    .hero.is-white .navbar-link:hover,
+    .hero.is-white .navbar-link.is-active {
+      background-color: #f2f2f2;
+      color: #0a0a0a; }
+    .hero.is-white .tabs a {
+      color: #0a0a0a;
+      opacity: 0.9; }
+      .hero.is-white .tabs a:hover {
+        opacity: 1; }
+    .hero.is-white .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-white .tabs.is-boxed a, .hero.is-white .tabs.is-toggle a {
+      color: #0a0a0a; }
+      .hero.is-white .tabs.is-boxed a:hover, .hero.is-white .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-white .tabs.is-boxed li.is-active a, .hero.is-white .tabs.is-boxed li.is-active a:hover, .hero.is-white .tabs.is-toggle li.is-active a, .hero.is-white .tabs.is-toggle li.is-active a:hover {
+      background-color: #0a0a0a;
+      border-color: #0a0a0a;
+      color: white; }
+    .hero.is-white.is-bold {
+      background-image: linear-gradient(141deg, #e6e6e6 0%, white 71%, white 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-white.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #e6e6e6 0%, white 71%, white 100%); } }
+  .hero.is-black {
+    background-color: #0a0a0a;
+    color: white; }
+    .hero.is-black a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-black strong {
+      color: inherit; }
+    .hero.is-black .title {
+      color: white; }
+    .hero.is-black .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-black .subtitle a:not(.button),
+      .hero.is-black .subtitle strong {
+        color: white; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-black .navbar-menu {
+        background-color: #0a0a0a; } }
+    .hero.is-black .navbar-item,
+    .hero.is-black .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-black a.navbar-item:hover, .hero.is-black a.navbar-item.is-active,
+    .hero.is-black .navbar-link:hover,
+    .hero.is-black .navbar-link.is-active {
+      background-color: black;
+      color: white; }
+    .hero.is-black .tabs a {
+      color: white;
+      opacity: 0.9; }
+      .hero.is-black .tabs a:hover {
+        opacity: 1; }
+    .hero.is-black .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-black .tabs.is-boxed a, .hero.is-black .tabs.is-toggle a {
+      color: white; }
+      .hero.is-black .tabs.is-boxed a:hover, .hero.is-black .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-black .tabs.is-boxed li.is-active a, .hero.is-black .tabs.is-boxed li.is-active a:hover, .hero.is-black .tabs.is-toggle li.is-active a, .hero.is-black .tabs.is-toggle li.is-active a:hover {
+      background-color: white;
+      border-color: white;
+      color: #0a0a0a; }
+    .hero.is-black.is-bold {
+      background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-black.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } }
+  .hero.is-light {
+    background-color: whitesmoke;
+    color: #363636; }
+    .hero.is-light a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-light strong {
+      color: inherit; }
+    .hero.is-light .title {
+      color: #363636; }
+    .hero.is-light .subtitle {
+      color: rgba(54, 54, 54, 0.9); }
+      .hero.is-light .subtitle a:not(.button),
+      .hero.is-light .subtitle strong {
+        color: #363636; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-light .navbar-menu {
+        background-color: whitesmoke; } }
+    .hero.is-light .navbar-item,
+    .hero.is-light .navbar-link {
+      color: rgba(54, 54, 54, 0.7); }
+    .hero.is-light a.navbar-item:hover, .hero.is-light a.navbar-item.is-active,
+    .hero.is-light .navbar-link:hover,
+    .hero.is-light .navbar-link.is-active {
+      background-color: #e8e8e8;
+      color: #363636; }
+    .hero.is-light .tabs a {
+      color: #363636;
+      opacity: 0.9; }
+      .hero.is-light .tabs a:hover {
+        opacity: 1; }
+    .hero.is-light .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-light .tabs.is-boxed a, .hero.is-light .tabs.is-toggle a {
+      color: #363636; }
+      .hero.is-light .tabs.is-boxed a:hover, .hero.is-light .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-light .tabs.is-boxed li.is-active a, .hero.is-light .tabs.is-boxed li.is-active a:hover, .hero.is-light .tabs.is-toggle li.is-active a, .hero.is-light .tabs.is-toggle li.is-active a:hover {
+      background-color: #363636;
+      border-color: #363636;
+      color: whitesmoke; }
+    .hero.is-light.is-bold {
+      background-image: linear-gradient(141deg, #dfd8d9 0%, whitesmoke 71%, white 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-light.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #dfd8d9 0%, whitesmoke 71%, white 100%); } }
+  .hero.is-dark, .content kbd.hero {
+    background-color: #363636;
+    color: whitesmoke; }
+    .hero.is-dark a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), .content kbd.hero a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-dark strong,
+    .content kbd.hero strong {
+      color: inherit; }
+    .hero.is-dark .title, .content kbd.hero .title {
+      color: whitesmoke; }
+    .hero.is-dark .subtitle, .content kbd.hero .subtitle {
+      color: rgba(245, 245, 245, 0.9); }
+      .hero.is-dark .subtitle a:not(.button), .content kbd.hero .subtitle a:not(.button),
+      .hero.is-dark .subtitle strong,
+      .content kbd.hero .subtitle strong {
+        color: whitesmoke; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-dark .navbar-menu, .content kbd.hero .navbar-menu {
+        background-color: #363636; } }
+    .hero.is-dark .navbar-item, .content kbd.hero .navbar-item,
+    .hero.is-dark .navbar-link,
+    .content kbd.hero .navbar-link {
+      color: rgba(245, 245, 245, 0.7); }
+    .hero.is-dark a.navbar-item:hover, .content kbd.hero a.navbar-item:hover, .hero.is-dark a.navbar-item.is-active, .content kbd.hero a.navbar-item.is-active,
+    .hero.is-dark .navbar-link:hover,
+    .content kbd.hero .navbar-link:hover,
+    .hero.is-dark .navbar-link.is-active,
+    .content kbd.hero .navbar-link.is-active {
+      background-color: #292929;
+      color: whitesmoke; }
+    .hero.is-dark .tabs a, .content kbd.hero .tabs a {
+      color: whitesmoke;
+      opacity: 0.9; }
+      .hero.is-dark .tabs a:hover, .content kbd.hero .tabs a:hover {
+        opacity: 1; }
+    .hero.is-dark .tabs li.is-active a, .content kbd.hero .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-dark .tabs.is-boxed a, .content kbd.hero .tabs.is-boxed a, .hero.is-dark .tabs.is-toggle a, .content kbd.hero .tabs.is-toggle a {
+      color: whitesmoke; }
+      .hero.is-dark .tabs.is-boxed a:hover, .content kbd.hero .tabs.is-boxed a:hover, .hero.is-dark .tabs.is-toggle a:hover, .content kbd.hero .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-dark .tabs.is-boxed li.is-active a, .content kbd.hero .tabs.is-boxed li.is-active a, .hero.is-dark .tabs.is-boxed li.is-active a:hover, .content kbd.hero .tabs.is-boxed li.is-active a:hover, .hero.is-dark .tabs.is-toggle li.is-active a, .content kbd.hero .tabs.is-toggle li.is-active a, .hero.is-dark .tabs.is-toggle li.is-active a:hover, .content kbd.hero .tabs.is-toggle li.is-active a:hover {
+      background-color: whitesmoke;
+      border-color: whitesmoke;
+      color: #363636; }
+    .hero.is-dark.is-bold, .content kbd.hero.is-bold {
+      background-image: linear-gradient(141deg, #1f191a 0%, #363636 71%, #46403f 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-dark.is-bold .navbar-menu, .content kbd.hero.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #1f191a 0%, #363636 71%, #46403f 100%); } }
+  .hero.is-primary, .docstring > section > a.hero.docs-sourcelink {
+    background-color: #4eb5de;
+    color: #fff; }
+    .hero.is-primary a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), .docstring > section > a.hero.docs-sourcelink a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-primary strong,
+    .docstring > section > a.hero.docs-sourcelink strong {
+      color: inherit; }
+    .hero.is-primary .title, .docstring > section > a.hero.docs-sourcelink .title {
+      color: #fff; }
+    .hero.is-primary .subtitle, .docstring > section > a.hero.docs-sourcelink .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-primary .subtitle a:not(.button), .docstring > section > a.hero.docs-sourcelink .subtitle a:not(.button),
+      .hero.is-primary .subtitle strong,
+      .docstring > section > a.hero.docs-sourcelink .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-primary .navbar-menu, .docstring > section > a.hero.docs-sourcelink .navbar-menu {
+        background-color: #4eb5de; } }
+    .hero.is-primary .navbar-item, .docstring > section > a.hero.docs-sourcelink .navbar-item,
+    .hero.is-primary .navbar-link,
+    .docstring > section > a.hero.docs-sourcelink .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-primary a.navbar-item:hover, .docstring > section > a.hero.docs-sourcelink a.navbar-item:hover, .hero.is-primary a.navbar-item.is-active, .docstring > section > a.hero.docs-sourcelink a.navbar-item.is-active,
+    .hero.is-primary .navbar-link:hover,
+    .docstring > section > a.hero.docs-sourcelink .navbar-link:hover,
+    .hero.is-primary .navbar-link.is-active,
+    .docstring > section > a.hero.docs-sourcelink .navbar-link.is-active {
+      background-color: #39acda;
+      color: #fff; }
+    .hero.is-primary .tabs a, .docstring > section > a.hero.docs-sourcelink .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-primary .tabs a:hover, .docstring > section > a.hero.docs-sourcelink .tabs a:hover {
+        opacity: 1; }
+    .hero.is-primary .tabs li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-primary .tabs.is-boxed a, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a, .hero.is-primary .tabs.is-toggle a, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-primary .tabs.is-boxed a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a:hover, .hero.is-primary .tabs.is-toggle a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-primary .tabs.is-boxed li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a, .hero.is-primary .tabs.is-boxed li.is-active a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a:hover, .hero.is-primary .tabs.is-toggle li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a, .hero.is-primary .tabs.is-toggle li.is-active a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #4eb5de; }
+    .hero.is-primary.is-bold, .docstring > section > a.hero.is-bold.docs-sourcelink {
+      background-image: linear-gradient(141deg, #1bc7de 0%, #4eb5de 71%, #5fa9e7 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-primary.is-bold .navbar-menu, .docstring > section > a.hero.is-bold.docs-sourcelink .navbar-menu {
+          background-image: linear-gradient(141deg, #1bc7de 0%, #4eb5de 71%, #5fa9e7 100%); } }
+  .hero.is-link {
+    background-color: #2e63b8;
+    color: #fff; }
+    .hero.is-link a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-link strong {
+      color: inherit; }
+    .hero.is-link .title {
+      color: #fff; }
+    .hero.is-link .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-link .subtitle a:not(.button),
+      .hero.is-link .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-link .navbar-menu {
+        background-color: #2e63b8; } }
+    .hero.is-link .navbar-item,
+    .hero.is-link .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-link a.navbar-item:hover, .hero.is-link a.navbar-item.is-active,
+    .hero.is-link .navbar-link:hover,
+    .hero.is-link .navbar-link.is-active {
+      background-color: #2958a4;
+      color: #fff; }
+    .hero.is-link .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-link .tabs a:hover {
+        opacity: 1; }
+    .hero.is-link .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-link .tabs.is-boxed a, .hero.is-link .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-link .tabs.is-boxed a:hover, .hero.is-link .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-link .tabs.is-boxed li.is-active a, .hero.is-link .tabs.is-boxed li.is-active a:hover, .hero.is-link .tabs.is-toggle li.is-active a, .hero.is-link .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #2e63b8; }
+    .hero.is-link.is-bold {
+      background-image: linear-gradient(141deg, #1b6098 0%, #2e63b8 71%, #2d51d2 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-link.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #1b6098 0%, #2e63b8 71%, #2d51d2 100%); } }
+  .hero.is-info {
+    background-color: #209cee;
+    color: #fff; }
+    .hero.is-info a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-info strong {
+      color: inherit; }
+    .hero.is-info .title {
+      color: #fff; }
+    .hero.is-info .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-info .subtitle a:not(.button),
+      .hero.is-info .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-info .navbar-menu {
+        background-color: #209cee; } }
+    .hero.is-info .navbar-item,
+    .hero.is-info .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-info a.navbar-item:hover, .hero.is-info a.navbar-item.is-active,
+    .hero.is-info .navbar-link:hover,
+    .hero.is-info .navbar-link.is-active {
+      background-color: #118fe4;
+      color: #fff; }
+    .hero.is-info .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-info .tabs a:hover {
+        opacity: 1; }
+    .hero.is-info .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-info .tabs.is-boxed a, .hero.is-info .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-info .tabs.is-boxed a:hover, .hero.is-info .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-info .tabs.is-boxed li.is-active a, .hero.is-info .tabs.is-boxed li.is-active a:hover, .hero.is-info .tabs.is-toggle li.is-active a, .hero.is-info .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #209cee; }
+    .hero.is-info.is-bold {
+      background-image: linear-gradient(141deg, #04a6d7 0%, #209cee 71%, #3287f5 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-info.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #04a6d7 0%, #209cee 71%, #3287f5 100%); } }
+  .hero.is-success {
+    background-color: #22c35b;
+    color: #fff; }
+    .hero.is-success a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-success strong {
+      color: inherit; }
+    .hero.is-success .title {
+      color: #fff; }
+    .hero.is-success .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-success .subtitle a:not(.button),
+      .hero.is-success .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-success .navbar-menu {
+        background-color: #22c35b; } }
+    .hero.is-success .navbar-item,
+    .hero.is-success .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-success a.navbar-item:hover, .hero.is-success a.navbar-item.is-active,
+    .hero.is-success .navbar-link:hover,
+    .hero.is-success .navbar-link.is-active {
+      background-color: #1ead51;
+      color: #fff; }
+    .hero.is-success .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-success .tabs a:hover {
+        opacity: 1; }
+    .hero.is-success .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-success .tabs.is-boxed a, .hero.is-success .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-success .tabs.is-boxed a:hover, .hero.is-success .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-success .tabs.is-boxed li.is-active a, .hero.is-success .tabs.is-boxed li.is-active a:hover, .hero.is-success .tabs.is-toggle li.is-active a, .hero.is-success .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #22c35b; }
+    .hero.is-success.is-bold {
+      background-image: linear-gradient(141deg, #12a02c 0%, #22c35b 71%, #1fdf83 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-success.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #12a02c 0%, #22c35b 71%, #1fdf83 100%); } }
+  .hero.is-warning {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-warning strong {
+      color: inherit; }
+    .hero.is-warning .title {
+      color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning .subtitle {
+      color: rgba(0, 0, 0, 0.9); }
+      .hero.is-warning .subtitle a:not(.button),
+      .hero.is-warning .subtitle strong {
+        color: rgba(0, 0, 0, 0.7); }
+    @media screen and (max-width: 1055px) {
+      .hero.is-warning .navbar-menu {
+        background-color: #ffdd57; } }
+    .hero.is-warning .navbar-item,
+    .hero.is-warning .navbar-link {
+      color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning a.navbar-item:hover, .hero.is-warning a.navbar-item.is-active,
+    .hero.is-warning .navbar-link:hover,
+    .hero.is-warning .navbar-link.is-active {
+      background-color: #ffd83d;
+      color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning .tabs a {
+      color: rgba(0, 0, 0, 0.7);
+      opacity: 0.9; }
+      .hero.is-warning .tabs a:hover {
+        opacity: 1; }
+    .hero.is-warning .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-warning .tabs.is-boxed a, .hero.is-warning .tabs.is-toggle a {
+      color: rgba(0, 0, 0, 0.7); }
+      .hero.is-warning .tabs.is-boxed a:hover, .hero.is-warning .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-warning .tabs.is-boxed li.is-active a, .hero.is-warning .tabs.is-boxed li.is-active a:hover, .hero.is-warning .tabs.is-toggle li.is-active a, .hero.is-warning .tabs.is-toggle li.is-active a:hover {
+      background-color: rgba(0, 0, 0, 0.7);
+      border-color: rgba(0, 0, 0, 0.7);
+      color: #ffdd57; }
+    .hero.is-warning.is-bold {
+      background-image: linear-gradient(141deg, #ffaf24 0%, #ffdd57 71%, #fffa70 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-warning.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #ffaf24 0%, #ffdd57 71%, #fffa70 100%); } }
+  .hero.is-danger {
+    background-color: #da0b00;
+    color: #fff; }
+    .hero.is-danger a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-danger strong {
+      color: inherit; }
+    .hero.is-danger .title {
+      color: #fff; }
+    .hero.is-danger .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-danger .subtitle a:not(.button),
+      .hero.is-danger .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-danger .navbar-menu {
+        background-color: #da0b00; } }
+    .hero.is-danger .navbar-item,
+    .hero.is-danger .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-danger a.navbar-item:hover, .hero.is-danger a.navbar-item.is-active,
+    .hero.is-danger .navbar-link:hover,
+    .hero.is-danger .navbar-link.is-active {
+      background-color: #c10a00;
+      color: #fff; }
+    .hero.is-danger .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-danger .tabs a:hover {
+        opacity: 1; }
+    .hero.is-danger .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-danger .tabs.is-boxed a, .hero.is-danger .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-danger .tabs.is-boxed a:hover, .hero.is-danger .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-danger .tabs.is-boxed li.is-active a, .hero.is-danger .tabs.is-boxed li.is-active a:hover, .hero.is-danger .tabs.is-toggle li.is-active a, .hero.is-danger .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #da0b00; }
+    .hero.is-danger.is-bold {
+      background-image: linear-gradient(141deg, #a70013 0%, #da0b00 71%, #f43500 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-danger.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #a70013 0%, #da0b00 71%, #f43500 100%); } }
+  .hero.is-small .hero-body, #documenter .docs-sidebar form.docs-search > input.hero .hero-body {
+    padding-bottom: 1.5rem;
+    padding-top: 1.5rem; }
+  @media screen and (min-width: 769px), print {
+    .hero.is-medium .hero-body {
+      padding-bottom: 9rem;
+      padding-top: 9rem; } }
+  @media screen and (min-width: 769px), print {
+    .hero.is-large .hero-body {
+      padding-bottom: 18rem;
+      padding-top: 18rem; } }
+  .hero.is-halfheight .hero-body, .hero.is-fullheight .hero-body, .hero.is-fullheight-with-navbar .hero-body {
+    align-items: center;
+    display: flex; }
+    .hero.is-halfheight .hero-body > .container, .hero.is-fullheight .hero-body > .container, .hero.is-fullheight-with-navbar .hero-body > .container {
+      flex-grow: 1;
+      flex-shrink: 1; }
+  .hero.is-halfheight {
+    min-height: 50vh; }
+  .hero.is-fullheight {
+    min-height: 100vh; }
+
+.hero-video {
+  overflow: hidden; }
+  .hero-video video {
+    left: 50%;
+    min-height: 100%;
+    min-width: 100%;
+    position: absolute;
+    top: 50%;
+    transform: translate3d(-50%, -50%, 0); }
+  .hero-video.is-transparent {
+    opacity: 0.3; }
+  @media screen and (max-width: 768px) {
+    .hero-video {
+      display: none; } }
+
+.hero-buttons {
+  margin-top: 1.5rem; }
+  @media screen and (max-width: 768px) {
+    .hero-buttons .button {
+      display: flex; }
+      .hero-buttons .button:not(:last-child) {
+        margin-bottom: 0.75rem; } }
+  @media screen and (min-width: 769px), print {
+    .hero-buttons {
+      display: flex;
+      justify-content: center; }
+      .hero-buttons .button:not(:last-child) {
+        margin-right: 1.5rem; } }
+
+.hero-head,
+.hero-foot {
+  flex-grow: 0;
+  flex-shrink: 0; }
+
+.hero-body {
+  flex-grow: 1;
+  flex-shrink: 0;
+  padding: 3rem 1.5rem; }
+
+.section {
+  padding: 3rem 1.5rem; }
+  @media screen and (min-width: 1056px) {
+    .section.is-medium {
+      padding: 9rem 1.5rem; }
+    .section.is-large {
+      padding: 18rem 1.5rem; } }
+
+.footer {
+  background-color: #fafafa;
+  padding: 3rem 1.5rem 6rem; }
+
+h1 .docs-heading-anchor, h1 .docs-heading-anchor:hover, h1 .docs-heading-anchor:visited, h2 .docs-heading-anchor, h2 .docs-heading-anchor:hover, h2 .docs-heading-anchor:visited, h3 .docs-heading-anchor, h3 .docs-heading-anchor:hover, h3 .docs-heading-anchor:visited, h4 .docs-heading-anchor, h4 .docs-heading-anchor:hover, h4 .docs-heading-anchor:visited, h5 .docs-heading-anchor, h5 .docs-heading-anchor:hover, h5 .docs-heading-anchor:visited, h6 .docs-heading-anchor, h6 .docs-heading-anchor:hover, h6 .docs-heading-anchor:visited {
+  color: #222222; }
+
+h1 .docs-heading-anchor-permalink, h2 .docs-heading-anchor-permalink, h3 .docs-heading-anchor-permalink, h4 .docs-heading-anchor-permalink, h5 .docs-heading-anchor-permalink, h6 .docs-heading-anchor-permalink {
+  visibility: hidden;
+  vertical-align: middle;
+  margin-left: 0.5em;
+  font-size: 0.7rem; }
+  h1 .docs-heading-anchor-permalink::before, h2 .docs-heading-anchor-permalink::before, h3 .docs-heading-anchor-permalink::before, h4 .docs-heading-anchor-permalink::before, h5 .docs-heading-anchor-permalink::before, h6 .docs-heading-anchor-permalink::before {
+    font-family: "Font Awesome 5 Free";
+    font-weight: 900;
+    content: "\f0c1"; }
+
+h1:hover .docs-heading-anchor-permalink, h2:hover .docs-heading-anchor-permalink, h3:hover .docs-heading-anchor-permalink, h4:hover .docs-heading-anchor-permalink, h5:hover .docs-heading-anchor-permalink, h6:hover .docs-heading-anchor-permalink {
+  visibility: visible; }
+
+.docs-dark-only {
+  display: none !important; }
+
+.admonition {
+  background-color: #b5b5b5;
+  border-style: solid;
+  border-width: 1px;
+  border-color: #363636;
+  border-radius: 4px;
+  font-size: 1rem; }
+  .admonition strong {
+    color: currentColor; }
+  .admonition.is-small, #documenter .docs-sidebar form.docs-search > input.admonition {
+    font-size: 0.75rem; }
+  .admonition.is-medium {
+    font-size: 1.25rem; }
+  .admonition.is-large {
+    font-size: 1.5rem; }
+  .admonition.is-default {
+    background-color: #b5b5b5;
+    border-color: #363636; }
+    .admonition.is-default > .admonition-header {
+      background-color: #363636;
+      color: #fff; }
+    .admonition.is-default > .admonition-body {
+      color: #fff; }
+  .admonition.is-info {
+    background-color: #b8dffa;
+    border-color: #209cee; }
+    .admonition.is-info > .admonition-header {
+      background-color: #209cee;
+      color: #fff; }
+    .admonition.is-info > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-success {
+    background-color: #9beeb8;
+    border-color: #22c35b; }
+    .admonition.is-success > .admonition-header {
+      background-color: #22c35b;
+      color: #fff; }
+    .admonition.is-success > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-warning {
+    background-color: #fff3c5;
+    border-color: #ffdd57; }
+    .admonition.is-warning > .admonition-header {
+      background-color: #ffdd57;
+      color: rgba(0, 0, 0, 0.7); }
+    .admonition.is-warning > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-danger {
+    background-color: #ff857e;
+    border-color: #da0b00; }
+    .admonition.is-danger > .admonition-header {
+      background-color: #da0b00;
+      color: #fff; }
+    .admonition.is-danger > .admonition-body {
+      color: #fff; }
+  .admonition.is-compat {
+    background-color: #99e6f0;
+    border-color: #1db5c9; }
+    .admonition.is-compat > .admonition-header {
+      background-color: #1db5c9;
+      color: #fff; }
+    .admonition.is-compat > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+
+.admonition-header {
+  color: #fff;
+  background-color: #363636;
+  align-items: center;
+  font-weight: 700;
+  justify-content: space-between;
+  line-height: 1.25;
+  padding: 0.75em;
+  position: relative; }
+  .admonition-header:before {
+    font-family: "Font Awesome 5 Free";
+    font-weight: 900;
+    margin-right: 0.75em;
+    content: "\f06a"; }
+
+.admonition-body {
+  color: #222222;
+  padding: 1em 1.25em; }
+  .admonition-body pre {
+    background-color: whitesmoke; }
+  .admonition-body code {
+    background-color: rgba(0, 0, 0, 0.05); }
+
+.docstring {
+  margin-bottom: 1em;
+  background-color: transparent;
+  border: 1px solid #dbdbdb;
+  box-shadow: 2px 2px 3px rgba(10, 10, 10, 0.1);
+  max-width: 100%; }
+  .docstring > header {
+    display: flex;
+    flex-grow: 1;
+    align-items: stretch;
+    padding: 0.75rem;
+    background-color: whitesmoke;
+    box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+    box-shadow: none;
+    border-bottom: 1px solid #dbdbdb; }
+    .docstring > header code {
+      background-color: transparent; }
+    .docstring > header .docstring-binding {
+      margin-right: 0.3em; }
+    .docstring > header .docstring-category {
+      margin-left: 0.3em; }
+  .docstring > section {
+    position: relative;
+    padding: 1rem 1.25rem;
+    border-bottom: 1px solid #dbdbdb; }
+    .docstring > section:last-child {
+      border-bottom: none; }
+    .docstring > section > a.docs-sourcelink {
+      transition: opacity 0.3s;
+      opacity: 0;
+      position: absolute;
+      right: 0.625rem;
+      bottom: 0.5rem; }
+  .docstring:hover > section > a.docs-sourcelink {
+    opacity: 0.2; }
+  .docstring > section:hover a.docs-sourcelink {
+    opacity: 1; }
+
+.documenter-example-output {
+  background-color: white; }
+
+.content pre {
+  border: 1px solid #dbdbdb; }
+
+.content code {
+  font-weight: inherit; }
+
+.content a code {
+  color: #2e63b8; }
+
+.content h1 code, .content h2 code, .content h3 code, .content h4 code, .content h5 code, .content h6 code {
+  color: #222222; }
+
+.content table {
+  display: block;
+  width: initial;
+  max-width: 100%;
+  overflow-x: auto; }
+
+.content blockquote > ul:first-child, .content blockquote > ol:first-child, .content .admonition-body > ul:first-child, .content .admonition-body > ol:first-child {
+  margin-top: 0; }
+
+.breadcrumb a.is-disabled {
+  cursor: default;
+  pointer-events: none; }
+  .breadcrumb a.is-disabled, .breadcrumb a.is-disabled:hover {
+    color: #222222; }
+
+.hljs {
+  background: initial !important;
+  padding: initial !important; }
+
+.katex .katex-mathml {
+  top: 0;
+  right: 0; }
+
+.katex-display, mjx-container, .MathJax_Display {
+  margin: 0.5em 0 !important; }
+
+html {
+  -moz-osx-font-smoothing: auto;
+  -webkit-font-smoothing: auto; }
+
+/* This file contain the overall layout.
+ *
+ * The main container is <div> that is identified by id #documenter.
+ */
+#documenter .docs-main > article {
+  overflow-wrap: break-word; }
+  #documenter .docs-main > article .math-container {
+    overflow-x: auto; }
+
+@media screen and (min-width: 1056px) {
+  #documenter .docs-main {
+    max-width: 52rem;
+    margin-left: 20rem;
+    padding-right: 1rem; } }
+
+@media screen and (max-width: 1055px) {
+  #documenter .docs-main {
+    width: 100%; }
+    #documenter .docs-main > article {
+      max-width: 52rem;
+      margin-left: auto;
+      margin-right: auto;
+      margin-bottom: 1rem;
+      padding: 0 1rem; }
+    #documenter .docs-main > header, #documenter .docs-main > nav {
+      max-width: 100%;
+      width: 100%;
+      margin: 0; } }
+
+#documenter .docs-main header.docs-navbar {
+  background-color: white;
+  border-bottom: 1px solid #dbdbdb;
+  z-index: 2;
+  min-height: 4rem;
+  margin-bottom: 1rem;
+  display: flex; }
+  #documenter .docs-main header.docs-navbar .breadcrumb {
+    flex-grow: 1; }
+  #documenter .docs-main header.docs-navbar .docs-right {
+    display: flex;
+    white-space: nowrap; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-icon, #documenter .docs-main header.docs-navbar .docs-right .docs-label, #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+      display: inline-block; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-label {
+      padding: 0;
+      margin-left: 0.3em; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-settings-button {
+      margin: auto 0 auto 1rem; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+      font-size: 1.5rem;
+      margin: auto 0 auto 1rem; }
+  #documenter .docs-main header.docs-navbar > * {
+    margin: auto 0; }
+  @media screen and (max-width: 1055px) {
+    #documenter .docs-main header.docs-navbar {
+      position: sticky;
+      top: 0;
+      padding: 0 1rem;
+      /* For Headroom.js */
+      transition-property: top, box-shadow;
+      -webkit-transition-property: top, box-shadow;
+      /* Safari */
+      transition-duration: 0.3s;
+      -webkit-transition-duration: 0.3s;
+      /* Safari */ }
+      #documenter .docs-main header.docs-navbar.headroom--not-top {
+        box-shadow: 0.2rem 0rem 0.4rem #bbb;
+        transition-duration: 0.7s;
+        -webkit-transition-duration: 0.7s;
+        /* Safari */ }
+      #documenter .docs-main header.docs-navbar.headroom--unpinned.headroom--not-top.headroom--not-bottom {
+        top: -4.5rem;
+        transition-duration: 0.7s;
+        -webkit-transition-duration: 0.7s;
+        /* Safari */ } }
+
+#documenter .docs-main section.footnotes {
+  border-top: 1px solid #dbdbdb; }
+  #documenter .docs-main section.footnotes li .tag:first-child, #documenter .docs-main section.footnotes li .docstring > section > a.docs-sourcelink:first-child, #documenter .docs-main section.footnotes li .content kbd:first-child, .content #documenter .docs-main section.footnotes li kbd:first-child {
+    margin-right: 1em;
+    margin-bottom: 0.4em; }
+
+#documenter .docs-main .docs-footer {
+  display: flex;
+  flex-wrap: wrap;
+  margin-left: 0;
+  margin-right: 0;
+  border-top: 1px solid #dbdbdb;
+  padding-top: 1rem;
+  padding-bottom: 1rem; }
+  @media screen and (max-width: 1055px) {
+    #documenter .docs-main .docs-footer {
+      padding-left: 1rem;
+      padding-right: 1rem; } }
+  #documenter .docs-main .docs-footer .docs-footer-nextpage, #documenter .docs-main .docs-footer .docs-footer-prevpage {
+    flex-grow: 1; }
+  #documenter .docs-main .docs-footer .docs-footer-nextpage {
+    text-align: right; }
+  #documenter .docs-main .docs-footer .flexbox-break {
+    flex-basis: 100%;
+    height: 0; }
+  #documenter .docs-main .docs-footer .footer-message {
+    font-size: 0.8em;
+    margin: 0.5em auto 0 auto;
+    text-align: center; }
+
+#documenter .docs-sidebar {
+  display: flex;
+  flex-direction: column;
+  color: #0a0a0a;
+  background-color: whitesmoke;
+  border-right: 1px solid #dbdbdb;
+  padding: 0;
+  flex: 0 0 18rem;
+  z-index: 5;
+  font-size: 1rem;
+  position: fixed;
+  left: -18rem;
+  width: 18rem;
+  height: 100%;
+  transition: left 0.3s;
+  /* Setting up a nicer theme style for the scrollbar */ }
+  #documenter .docs-sidebar.visible {
+    left: 0;
+    box-shadow: 0.4rem 0rem 0.8rem #bbb; }
+    @media screen and (min-width: 1056px) {
+      #documenter .docs-sidebar.visible {
+        box-shadow: none; } }
+  @media screen and (min-width: 1056px) {
+    #documenter .docs-sidebar {
+      left: 0;
+      top: 0; } }
+  #documenter .docs-sidebar .docs-logo {
+    margin-top: 1rem;
+    padding: 0 1rem; }
+    #documenter .docs-sidebar .docs-logo > img {
+      max-height: 6rem;
+      margin: auto; }
+  #documenter .docs-sidebar .docs-package-name {
+    flex-shrink: 0;
+    font-size: 1.5rem;
+    font-weight: 700;
+    text-align: center;
+    white-space: nowrap;
+    overflow: hidden;
+    padding: 0.5rem 0; }
+    #documenter .docs-sidebar .docs-package-name .docs-autofit {
+      max-width: 16.2rem; }
+  #documenter .docs-sidebar .docs-version-selector {
+    border-top: 1px solid #dbdbdb;
+    display: none;
+    padding: 0.5rem; }
+    #documenter .docs-sidebar .docs-version-selector.visible {
+      display: flex; }
+  #documenter .docs-sidebar ul.docs-menu {
+    flex-grow: 1;
+    user-select: none;
+    border-top: 1px solid #dbdbdb;
+    padding-bottom: 1.5rem;
+    /* Managing collapsible submenus */ }
+    #documenter .docs-sidebar ul.docs-menu > li > .tocitem {
+      font-weight: bold; }
+    #documenter .docs-sidebar ul.docs-menu > li li {
+      font-size: 0.95rem;
+      margin-left: 1em;
+      border-left: 1px solid #dbdbdb; }
+    #documenter .docs-sidebar ul.docs-menu input.collapse-toggle {
+      display: none; }
+    #documenter .docs-sidebar ul.docs-menu ul.collapsed {
+      display: none; }
+    #documenter .docs-sidebar ul.docs-menu input:checked ~ ul.collapsed {
+      display: block; }
+    #documenter .docs-sidebar ul.docs-menu label.tocitem {
+      display: flex; }
+      #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-label {
+        flex-grow: 2; }
+      #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron {
+        display: inline-block;
+        font-style: normal;
+        font-variant: normal;
+        text-rendering: auto;
+        line-height: 1;
+        font-size: 0.75rem;
+        margin-left: 1rem;
+        margin-top: auto;
+        margin-bottom: auto; }
+        #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron::before {
+          font-family: "Font Awesome 5 Free";
+          font-weight: 900;
+          content: "\f054"; }
+    #documenter .docs-sidebar ul.docs-menu input:checked ~ label.tocitem .docs-chevron::before {
+      content: "\f078"; }
+    #documenter .docs-sidebar ul.docs-menu .tocitem {
+      display: block;
+      padding: 0.5rem 0.5rem; }
+      #documenter .docs-sidebar ul.docs-menu .tocitem, #documenter .docs-sidebar ul.docs-menu .tocitem:hover {
+        color: #0a0a0a;
+        background: whitesmoke; }
+    #documenter .docs-sidebar ul.docs-menu a.tocitem:hover, #documenter .docs-sidebar ul.docs-menu label.tocitem:hover {
+      color: #0a0a0a;
+      background-color: #ebebeb; }
+    #documenter .docs-sidebar ul.docs-menu li.is-active {
+      border-top: 1px solid #dbdbdb;
+      border-bottom: 1px solid #dbdbdb;
+      background-color: white; }
+      #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem, #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem:hover {
+        background-color: white;
+        color: #0a0a0a; }
+      #documenter .docs-sidebar ul.docs-menu li.is-active ul.internal .tocitem:hover {
+        background-color: #ebebeb;
+        color: #0a0a0a; }
+    #documenter .docs-sidebar ul.docs-menu > li.is-active:first-child {
+      border-top: none; }
+    #documenter .docs-sidebar ul.docs-menu ul.internal {
+      margin: 0 0.5rem 0.5rem;
+      border-top: 1px solid #dbdbdb; }
+      #documenter .docs-sidebar ul.docs-menu ul.internal li {
+        font-size: 0.85rem;
+        border-left: none;
+        margin-left: 0;
+        margin-top: 0.5rem; }
+      #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem {
+        width: 100%;
+        padding: 0; }
+        #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem::before {
+          content: "⚬";
+          margin-right: 0.4em; }
+  #documenter .docs-sidebar form.docs-search {
+    margin: auto;
+    margin-top: 0.5rem;
+    margin-bottom: 0.5rem; }
+    #documenter .docs-sidebar form.docs-search > input {
+      width: 14.4rem; }
+  @media screen and (min-width: 1056px) {
+    #documenter .docs-sidebar ul.docs-menu {
+      overflow-y: auto;
+      -webkit-overflow-scroll: touch; }
+      #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar {
+        width: .3rem;
+        background: none; }
+      #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb {
+        border-radius: 5px 0px 0px 5px;
+        background: #e0e0e0; }
+      #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb:hover {
+        background: #cccccc; } }
+  @media screen and (max-width: 1055px) {
+    #documenter .docs-sidebar {
+      overflow-y: auto;
+      -webkit-overflow-scroll: touch; }
+      #documenter .docs-sidebar::-webkit-scrollbar {
+        width: .3rem;
+        background: none; }
+      #documenter .docs-sidebar::-webkit-scrollbar-thumb {
+        border-radius: 5px 0px 0px 5px;
+        background: #e0e0e0; }
+      #documenter .docs-sidebar::-webkit-scrollbar-thumb:hover {
+        background: #cccccc; } }
+
+#documenter .docs-main #documenter-search-info {
+  margin-bottom: 1rem; }
+
+#documenter .docs-main #documenter-search-results {
+  list-style-type: circle;
+  list-style-position: outside; }
+  #documenter .docs-main #documenter-search-results li {
+    margin-left: 2rem; }
+  #documenter .docs-main #documenter-search-results .docs-highlight {
+    background-color: yellow; }
+
+/*
+
+Original highlight.js style (c) Ivan Sagalaev <maniac@softwaremaniacs.org>
+
+*/
+.hljs {
+  display: block;
+  overflow-x: auto;
+  padding: 0.5em;
+  background: #F0F0F0; }
+
+/* Base color: saturation 0; */
+.hljs,
+.hljs-subst {
+  color: #444; }
+
+.hljs-comment {
+  color: #888888; }
+
+.hljs-keyword,
+.hljs-attribute,
+.hljs-selector-tag,
+.hljs-meta-keyword,
+.hljs-doctag,
+.hljs-name {
+  font-weight: bold; }
+
+/* User color: hue: 0 */
+.hljs-type,
+.hljs-string,
+.hljs-number,
+.hljs-selector-id,
+.hljs-selector-class,
+.hljs-quote,
+.hljs-template-tag,
+.hljs-deletion {
+  color: #880000; }
+
+.hljs-title,
+.hljs-section {
+  color: #880000;
+  font-weight: bold; }
+
+.hljs-regexp,
+.hljs-symbol,
+.hljs-variable,
+.hljs-template-variable,
+.hljs-link,
+.hljs-selector-attr,
+.hljs-selector-pseudo {
+  color: #BC6060; }
+
+/* Language color: hue: 90; */
+.hljs-literal {
+  color: #78A960; }
+
+.hljs-built_in,
+.hljs-bullet,
+.hljs-code,
+.hljs-addition {
+  color: #397300; }
+
+/* Meta color: hue: 200 */
+.hljs-meta {
+  color: #1f7199; }
+
+.hljs-meta-string {
+  color: #4d99bf; }
+
+/* Misc effects */
+.hljs-emphasis {
+  font-style: italic; }
+
+.hljs-strong {
+  font-weight: bold; }
diff --git a/v0.2.1/assets/themeswap.js b/v0.2.1/assets/themeswap.js
new file mode 100644
index 000000000..c58e993e3
--- /dev/null
+++ b/v0.2.1/assets/themeswap.js
@@ -0,0 +1,66 @@
+// Small function to quickly swap out themes. Gets put into the <head> tag..
+function set_theme_from_local_storage() {
+  // Intialize the theme to null, which means default
+  var theme = null;
+  // If the browser supports the localstorage and is not disabled then try to get the
+  // documenter theme
+  if(window.localStorage != null) {
+    // Get the user-picked theme from localStorage. May be `null`, which means the default
+    // theme.
+    theme =  window.localStorage.getItem("documenter-theme");
+  }
+  // Check if the browser supports user color preference
+  var darkPreference = false;
+  // Check if the users preference is for dark color scheme
+  if(window.matchMedia('(prefers-color-scheme: dark)').matches === true) {
+    darkPreference = true;
+  }
+  // Initialize a few variables for the loop:
+  //
+  //  - active: will contain the index of the theme that should be active. Note that there
+  //    is no guarantee that localStorage contains sane values. If `active` stays `null`
+  //    we either could not find the theme or it is the default (primary) theme anyway.
+  //    Either way, we then need to stick to the primary theme.
+  //
+  //  - disabled: style sheets that should be disabled (i.e. all the theme style sheets
+  //    that are not the currently active theme)
+  var active = null; var disabled = []; var darkTheme = null;
+  for (var i = 0; i < document.styleSheets.length; i++) {
+    var ss = document.styleSheets[i];
+    // The <link> tag of each style sheet is expected to have a data-theme-name attribute
+    // which must contain the name of the theme. The names in localStorage much match this.
+    var themename = ss.ownerNode.getAttribute("data-theme-name");
+    // attribute not set => non-theme stylesheet => ignore
+    if(themename === null) continue;
+    // To distinguish the default (primary) theme, it needs to have the data-theme-primary
+    // attribute set.
+    var isprimary = (ss.ownerNode.getAttribute("data-theme-primary") !== null);
+    // Check if the theme is primary dark theme
+    var isDarkTheme = (ss.ownerNode.getAttribute("data-theme-primary-dark") !== null);
+    // If ss is for dark theme then set the value of darkTheme to the name of the theme
+    if(isDarkTheme) darkTheme = themename;
+    // If we find a matching theme (and it's not the default), we'll set active to non-null
+    if(themename === theme) active = i;
+    // Store the style sheets of inactive themes so that we could disable them
+    if(themename !== theme) disabled.push(ss);
+  }
+  if(active !== null) {
+    // If we did find an active theme, we'll (1) add the theme--$(theme) class to <html>
+    document.getElementsByTagName('html')[0].className = "theme--" + theme;
+    // and (2) disable all the other theme stylesheets
+    disabled.forEach(function(ss){
+      ss.disabled = true;
+    });
+  }
+  else if(darkTheme !== null && darkPreference === true) {
+    // If we did find an active theme, we'll (1) add the theme--$(theme) class to <html>
+    document.getElementsByTagName('html')[0].className = "theme--" + darkTheme;
+    // and (2) disable all the other theme stylesheets
+    disabled.forEach(function(ss){
+      if (ss.ownerNode.getAttribute("data-theme-name") !== darkTheme) {
+        ss.disabled = true;
+      }
+    });
+  }
+}
+set_theme_from_local_storage();
diff --git a/v0.2.1/index.html b/v0.2.1/index.html
new file mode 100644
index 000000000..fe5c6f515
--- /dev/null
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Home · GeoParams.jl</title><link href="https://fonts.googleapis.com/css?family=Lato|Roboto+Mono" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.11.1/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="assets/documenter.js"></script><script src="siteinfo.js"></script><script src="../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit">GeoParams.jl</span></div><form class="docs-search" action="search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li class="is-active"><a class="tocitem" href>Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="man/nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="man/materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="man/density/">Density</a></li><li><a class="tocitem" href="man/creeplaws/">Creep laws</a></li><li><a class="tocitem" href="man/heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="man/conductivity/">Conductivity</a></li><li><a class="tocitem" href="man/latentheat/">Latent heat</a></li><li><a class="tocitem" href="man/radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="man/shearheating/">Shear heating</a></li><li><a class="tocitem" href="man/gravity/">Gravity</a></li><li><a class="tocitem" href="man/melting/">Partial Melting</a></li><li><a class="tocitem" href="man/phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="man/seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="man/plotting/">Plotting</a></li><li><a class="tocitem" href="man/listfunctions/">List of functions</a></li><li><a class="tocitem" href="man/contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Home</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Home</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/index.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="GeoParams.jl"><a class="docs-heading-anchor" href="#GeoParams.jl">GeoParams.jl</a><a id="GeoParams.jl-1"></a><a class="docs-heading-anchor-permalink" href="#GeoParams.jl" title="Permalink"></a></h1><p>Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:</p><ul><li>Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).</li><li>Material parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. </li></ul><p>We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="man/nondimensionalize/">Nondimensionalization »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> on <span class="colophon-date" title="Thursday 24 March 2022 19:49">Thursday 24 March 2022</span>. Using Julia version 1.6.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Conductivity · GeoParams.jl</title><link href="https://fonts.googleapis.com/css?family=Lato|Roboto+Mono" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.11.1/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit">GeoParams.jl</span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material 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class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Conductivity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Conductivity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/conductivity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Conductivity"><a class="docs-heading-anchor" href="#Conductivity">Conductivity</a><a id="Conductivity-1"></a><a class="docs-heading-anchor-permalink" href="#Conductivity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Thermal conductivity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.ConstantConductivity" href="#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia">ConstantConductivity(k=3.0W/m/K)</code></pre><p>Set a constant conductivity</p><p class="math-container">\[    k  = cst\]</p><p>where <span>$k$</span> is the thermal conductivity [<span>$W/m/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Energy/Conductivity.jl#L28-L36">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittacker" href="#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittacker"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittacker</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia">T_Conductivity_Whittacker()</code></pre><p>Sets a temperature-dependent conductivity following the parameterization of <em>Whittacker et al. (2009), Nature.</em>  Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us </p><p class="math-container">\[    Cp = a + b T - c/T^2 \]</p><p class="math-container">\[    \kappa = d/T - e, if T&lt;=846K\]</p><p class="math-container">\[    \kappa = f - g*T, if T&gt;846K\]</p><p class="math-container">\[    \rho = 2700 kg/m3\]</p><p class="math-container">\[    k = \kappa Cp \rho\]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/mol/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <code>T</code>:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>d = 576.3m^2/s*K      </li><li>e = 0.062m^2/s        </li><li>f = 0.732m^2/s        </li><li>g = 0.000135m^2/s/K </li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Energy/Conductivity.jl#L81-L113">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia">TP_Conductivity()</code></pre><p>Sets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for  </p><p class="math-container">\[    k = \left( a_k +  {b_k \over {T + c_k}} \right) (1 + d_k P) \]</p><p>where <span>$k$</span> is the conductivity [<span>$W/K/m$</span>], and <span>$a_k,b_k,c_k,d_k$</span> are parameters that dependent on the temperature <code>T</code> and pressure <code>P</code>:</p><ul><li><span>$a_k$</span> = 1.18Watt/K/m    </li><li><span>$b_k$</span> = 474Watt/m </li><li><span>$c_k$</span> = 77K       </li><li><span>$d_k$</span> = 0/MPa       </li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Energy/Conductivity.jl#L195-L210">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">Set_TP_Conductivity[&quot;Name of temperature(-pressure) dependent conductivity&quot;]</code></pre><p>This is a dictionary with pre-defined laws:</p><ul><li>&quot;UpperCrust&quot;    </li><li>&quot;LowerCrust&quot;</li><li>&quot;OceanicCrust&quot;</li><li>&quot;Mantle&quot;</li></ul><p><strong>Example</strong></p><pre><code class="language-julia">julia&gt; k=Set_TP_Conductivity[&quot;Mantle&quot;]
+T/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)  </code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Energy/Conductivity.jl#L229-L244">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">k = compute_conductivity(P, T, s:&lt;AbstractConductivity)</code></pre><p>Returns the thermal conductivity <code>k</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the parameterizations implemented.</p><p>Currently available:</p><ul><li>ConstantConductivity</li><li>T_Conductivity_Whittacker</li><li>TP_Conductivity</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia">julia&gt; T  = (250:100:1250)*K;
+julia&gt; cp = T_HeatCapacity_Whittacker()
+julia&gt; Cp = ComputeHeatCapacity(0,T,cp)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Energy/Conductivity.jl#L330-L349">source</a></section><section><div><pre><code class="language-none">k = compute_conductivity(T::Any, s::AbstractConductivity)</code></pre><p>Computes conductivity if only temperature (and not pressure) is specified</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Energy/Conductivity.jl#L353-L357">source</a></section><section><div><pre><code class="language-none">compute_conductivity!(K::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},Temp::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of conductivity <code>K</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>Temp</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p>_________________________________________________________________________________________________________</p><p>compute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</p><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Energy/Conductivity.jl#L372-L384">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity!" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">compute_conductivity(k_array::AbstractArray{&lt;:AbstractFloat,N},P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, s::ConstantConductivity) where N</code></pre><p>In-place routine to compute constant conductivity    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Energy/Conductivity.jl#L60-L64">source</a></section><section><div><pre><code class="language-none">compute_conductivity!(k_array::AbstractArray{&lt;:AbstractFloat,N},P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, s::T_Conductivity_Whittacker) where N</code></pre><p>In-place routine to compute temperature-dependent conductivity    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Energy/Conductivity.jl#L169-L173">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../heatcapacity/">« Heat Capacity</a><a class="docs-footer-nextpage" href="../latentheat/">Latent heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> on <span class="colophon-date" title="Thursday 24 March 2022 19:49">Thursday 24 March 2022</span>. Using Julia version 1.6.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Contributing · GeoParams.jl</title><link href="https://fonts.googleapis.com/css?family=Lato|Roboto+Mono" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.11.1/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit">GeoParams.jl</span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li class="is-active"><a class="tocitem" href>Contributing</a><ul class="internal"><li><a class="tocitem" href="#Style-Guide"><span>Style Guide</span></a></li></ul></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Contributing</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Contributing</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/contributing.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Contributing"><a class="docs-heading-anchor" href="#Contributing">Contributing</a><a id="Contributing-1"></a><a class="docs-heading-anchor-permalink" href="#Contributing" title="Permalink"></a></h1><p>This page details the some of the guidelines that should be followed when contributing to this package.</p><p>You can contribute for example by adding new creep laws or by adding new constitutive relationships. If you invest a bit of time now, it will save others in the community a lot of time! The simplest way to do this is by cloning the repository, and creating a new branch for your feature. Once you are happy with what you added (and after you added a test to ensure that it will keep working with future changes), create a pull request and we will evaluate &amp; merge it.</p><h2 id="Style-Guide"><a class="docs-heading-anchor" href="#Style-Guide">Style Guide</a><a id="Style-Guide-1"></a><a class="docs-heading-anchor-permalink" href="#Style-Guide" title="Permalink"></a></h2><p>Follow the style of the surrounding text when making changes. When adding new features please try to stick to the following points whenever applicable.</p><h3 id="Julia"><a class="docs-heading-anchor" href="#Julia">Julia</a><a id="Julia-1"></a><a class="docs-heading-anchor-permalink" href="#Julia" title="Permalink"></a></h3><ul><li>4-space indentation;</li><li>modules spanning entire files should not be indented, but modules that have surrounding code should;</li><li>no blank lines at the start or end of files;</li><li>do not manually align syntax such as <code>=</code> or <code>::</code> over adjacent lines;</li><li>use <code>function ... end</code> when a method definition contains more than one toplevel expression;</li><li>related short-form method definitions don&#39;t need a new line between them;</li><li>unrelated or long-form method definitions must have a blank line separating each one;</li><li>surround all binary operators with whitespace except for <code>::</code>, <code>^</code>, and <code>:</code>;</li><li>files containing a single <code>module ... end</code> must be named after the module;</li><li>method arguments should be ordered based on the amount of usage within the method body;</li><li>methods extended from other modules must follow their inherited argument order, not the above rule;</li><li>explicit <code>return</code> should be preferred except in short-form method definitions;</li><li>avoid dense expressions where possible e.g. prefer nested <code>if</code>s over complex nested <code>?</code>s;</li><li>include a trailing <code>,</code> in vectors, tuples, or method calls that span several lines;</li><li>do not use multiline comments (<code>#=</code> and <code>=#</code>);</li><li>wrap long lines as near to 92 characters as possible, this includes docstrings;</li><li>follow the standard naming conventions used in <code>Base</code>.</li></ul><h3 id="Markdown"><a class="docs-heading-anchor" href="#Markdown">Markdown</a><a id="Markdown-1"></a><a class="docs-heading-anchor-permalink" href="#Markdown" title="Permalink"></a></h3><ul><li>Use unbalanced <code>#</code> headers, i.e. no <code>#</code> on the right hand side of the header text;</li><li>include a single blank line between toplevel blocks;</li><li>unordered lists must use <code>*</code> bullets with two preceding spaces;</li><li>do <em>not</em> hard wrap lines;</li><li>use emphasis (<code>*</code>) and bold (<code>**</code>) sparingly;</li><li>always use fenced code blocks instead of indented blocks;</li><li>follow the conventions outlined in the Julia documentation page on documentation.</li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../listfunctions/">« List of functions</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> on <span class="colophon-date" title="Thursday 24 March 2022 19:49">Thursday 24 March 2022</span>. 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diff --git a/v0.2.1/man/creeplaws/index.html b/v0.2.1/man/creeplaws/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Creep laws · GeoParams.jl</title><link href="https://fonts.googleapis.com/css?family=Lato|Roboto+Mono" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.11.1/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit">GeoParams.jl</span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li class="is-active"><a class="tocitem" href>Creep laws</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Implemented-creep-laws"><span>Implemented creep laws</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-for-creep-laws"><span>Computational routines for creep laws</span></a></li></ul></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Creep laws</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Creep laws</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/creeplaws.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="CreepLaws"><a class="docs-heading-anchor" href="#CreepLaws">CreepLaws</a><a id="CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#CreepLaws" title="Permalink"></a></h1><h1 id="Implemented-creep-laws"><a class="docs-heading-anchor" href="#Implemented-creep-laws">Implemented creep laws</a><a id="Implemented-creep-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-creep-laws" title="Permalink"></a></h1><p>The following viscous creep laws are implemented:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.CreepLaw.LinearViscous" href="#GeoParams.MaterialParameters.CreepLaw.LinearViscous"><code>GeoParams.MaterialParameters.CreepLaw.LinearViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia">LinearViscous(η=1e20Pa*s)</code></pre><p>Defines a linear viscous creeplaw </p><p>The (isotopic) linear viscous rheology is given by  </p><p class="math-container">\[    \tau_{ij} = 2 \eta \dot{\varepsilon}_{ij} \]</p><p>or</p><p class="math-container">\[    \dot{\varepsilon}_{ij}  = {\tau_{ij}  \over 2 \eta }\]</p><p>where <span>$\eta_0$</span> is the reference viscosity [Pa*s] at reference strain rate <span>$\dot{\varepsilon}_0$</span>[1/s], and <span>$n$</span> the power law exponent []. </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/CreepLaw/CreepLaw.jl#L51-L66">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.CreepLaw.PowerlawViscous" href="#GeoParams.MaterialParameters.CreepLaw.PowerlawViscous"><code>GeoParams.MaterialParameters.CreepLaw.PowerlawViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia">PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)</code></pre><p>Defines a power law viscous creeplaw as: </p><p class="math-container">\[    \tau_{ij}^n  = 2 \eta_0 \left( \dot{\varepsilon}_{ij} \over \dot{\varepsilon}_0 \right)\]</p><p>where <span>$\eta$</span> is the effective viscosity [Pa*s].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/CreepLaw/CreepLaw.jl#L97-L106">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.CreepLaw.DislocationCreep" href="#GeoParams.MaterialParameters.CreepLaw.DislocationCreep"><code>GeoParams.MaterialParameters.CreepLaw.DislocationCreep</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia">DislocationCreep(n = 1.0NoUnits, r = 0.00.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = &quot;AxialCompression&quot; )</code></pre><p>Defines the flow law parameter of a dislocation creep law </p><p>The (isotropic) dislocation creep law, as used by experimtalists, is given by  </p><p class="math-container">\[     \dot{\gamma} = A \sigma_\mathrm{d}^n f_\mathrm{H2O}^r \exp(-\frac{E+PV}{RT})\]</p><p>where <span>$n$</span> is the power law exponent,   <span>$r$</span> is the exponent of fugacity dependence,  <span>$A$</span> is a pre-exponential factor <a href="man/if manually defined, n and r must be either pre-defined or substituted">MPa^(n+r)</a>,   <span>$E$</span> is the activation energy [kJ/mol], <span>$V$</span> is the activation volume [m^3/mol]. <span>$\dot{\gamma}$</span> is the ordinary strain rate [1/s],  and <span>$\sigma_\mathrm{d}$</span> is the differential stress which are converted into second invariants using the apparatus type that can be either &quot;AxialCompression&quot;, &quot;SimpleShear&quot; or &quot;Invariant&quot;. If the flow law paramters are already given as a function of second invariants, choose apparatus = &quot;Invariant&quot;</p><pre><code class="language-julia-repl">julia&gt; x2      =   DislocationCreep(n=3)
+DislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/CreepLaw/DislocationCreep.jl#L22-L44">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.CreepLaw.SetDislocationCreep" href="#GeoParams.MaterialParameters.CreepLaw.SetDislocationCreep"><code>GeoParams.MaterialParameters.CreepLaw.SetDislocationCreep</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">SetDislocationCreep[&quot;Name of Dislocation Creep&quot;]</code></pre><p>This is a dictionary with pre-defined creep laws    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/CreepLaw/DislocationCreep.jl#L132-L136">source</a></section></article><h1 id="Computational-routines-for-creep-laws"><a class="docs-heading-anchor" href="#Computational-routines-for-creep-laws">Computational routines for creep laws</a><a id="Computational-routines-for-creep-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines-for-creep-laws" title="Permalink"></a></h1><p>Once a creep rheology is defined, we can use the following routines to perform computations within the solvers</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.CreepLaw.CreepLawVariables" href="#GeoParams.MaterialParameters.CreepLaw.CreepLawVariables"><code>GeoParams.MaterialParameters.CreepLaw.CreepLawVariables</code></a> — <span class="docstring-category">Type</span></header><section><div><p>Struct that holds parameters required for creep law calculations (such as P,T, grain size etc.)</p><p>You can assign the struct as</p><pre><code class="language-julia-repl"> p = CreepLawVariables(P=0.0, T=0.0, d=1.0) </code></pre><p>where you can also pass vectors or arrays as values.</p><p>Note that, if needed, this can be extended, w/out interfering with existing calculation  </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/CreepLaw/CreepLaw.jl#L30-L40">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII" href="#GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII"><code>GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">computeCreepLaw_EpsII(TauII, s:&lt;AbstractCreepLaw, p::CreepLawVariables)</code></pre><p>Returns the strainrate invariant <span>$\dot{\varepsilon}_{II}$</span> for a given deviatoric stress  invariant <span>$\tau_{II}$</span> for any of the viscous creep laws implemented. <span>$p$</span> is a struct that can hold various parameters (such as <span>$P$</span>, <span>$T$</span>) that the creep law may need for the calculations </p><p class="math-container">\[    \dot{\varepsilon}_{II}   = f( \tau_{II} ) \]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/CreepLaw/CreepLaw.jl#L122-L134">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII" href="#GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII"><code>GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">computeCreepLaw_TauII(EpsII, s:&lt;AbstractCreepLaw, p::CreepLawVariables)</code></pre><p>Returns the deviatoric stress invariant <span>$\tau_{II}$</span> for a given strain rate   invariant <span>$\dot{\varepsilon}_{II}$</span> for any of the viscous creep laws implemented. <span>$p$</span> is a struct that can hold various parameters (such as <span>$P$</span>, <span>$T$</span>) that the creep law may need for the calculations </p><p class="math-container">\[    \tau_{II}  = f( \dot{\varepsilon}_{II} ) \]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/CreepLaw/CreepLaw.jl#L137-L149">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../density/">« Density</a><a class="docs-footer-nextpage" href="../heatcapacity/">Heat Capacity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> on <span class="colophon-date" title="Thursday 24 March 2022 19:49">Thursday 24 March 2022</span>. Using Julia version 1.6.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Density · GeoParams.jl</title><link href="https://fonts.googleapis.com/css?family=Lato|Roboto+Mono" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.11.1/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script 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class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Density"><a class="docs-heading-anchor" href="#Density">Density</a><a id="Density-1"></a><a class="docs-heading-anchor-permalink" href="#Density" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>The density equation of state can be specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.ConstantDensity" href="#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia">ConstantDensity(ρ=2900kg/m^3)</code></pre><p>Set a constant density:</p><p class="math-container">\[    \rho  = cst\]</p><p>where <span>$\rho$</span> is the density [<span>$kg/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Density/Density.jl#L33-L41">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.PT_Density" href="#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia">PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)</code></pre><p>Set a pressure and temperature-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 (1.0 - \alpha (T-T_0) + \beta  (P-P_0) )  \]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference temperature <span>$T_0$</span> and pressure <span>$P_0$</span>, <span>$\alpha$</span> is the temperature dependence of density and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Density/Density.jl#L75-L84">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.Compressible_Density" href="#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia">Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)</code></pre><p>Set a pressure-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 \exp(β*(P - P\_0))  \]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference pressure <span>$P_0$</span> and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Density/Density.jl#L132-L140">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To evaluate density within a user routine, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density" href="#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">compute_density(P,T, s::PhaseDiagram_LookupTable)</code></pre><p>Interpolates density as a function of <code>T,P</code> from a lookup table  </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Density/Density.jl#L195-L198">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density!" href="#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">compute_density!(rho::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, s::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of density as a function of <code>T,P</code>, in case we are using a lookup table.    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Density/Density.jl#L203-L206">source</a></section><section><div><pre><code class="language-none">compute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I&lt;:Integer}</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p><strong>Example</strong></p><pre><code class="language-julia">julia&gt; MatParam = (SetMaterialParams(Name=&quot;Mantle&quot;, Phase=1,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                        Density   = PT_Density()
+                        ),
+                    SetMaterialParams(Name=&quot;Crust&quot;, Phase=2,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),
+                        Density   = ConstantDensity(ρ=2900kg/m^3))
+                  );
+julia&gt; Phases = ones(Int64,400,400);
+julia&gt; Phases[:,20:end] .= 2
+julia&gt; rho     = zeros(size(Phases))
+julia&gt; T       =  ones(size(Phases))
+julia&gt; P       =  ones(size(Phases))*10
+julia&gt; compute_density!(rho, MatParam, Phases, P, T)
+julia&gt; rho
+400×400 Matrix{Float64}:
+2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮                            
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0</code></pre><p>The routine is made to minimize allocations:</p><pre><code class="language-julia">julia&gt; using BenchmarkTools
+julia&gt; @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)
+    203.468 μs (0 allocations: 0 bytes)</code></pre><p>_____________________________________________________________________________________________________________________________   </p><pre><code class="language-none">compute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Density/Density.jl#L233-L297">source</a></section></article><p>Note that density values are usually not used in itself in the governing PDE&#39;s, but usually in combination with other parameters, such as <span>$\rho g$</span> or <span>$\rho c_p$</span>. the non-dimensional value of <span>$\rho$</span> may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../materialparameters/">« Material Parameters</a><a class="docs-footer-nextpage" href="../creeplaws/">Creep laws »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> on <span class="colophon-date" title="Thursday 24 March 2022 19:49">Thursday 24 March 2022</span>. Using Julia version 1.6.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Gravity · GeoParams.jl</title><link href="https://fonts.googleapis.com/css?family=Lato|Roboto+Mono" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.11.1/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit">GeoParams.jl</span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li class="is-active"><a class="tocitem" href>Gravity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Gravity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Gravity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/gravity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Gravitational-acceleration"><a class="docs-heading-anchor" href="#Gravitational-acceleration">Gravitational acceleration</a><a id="Gravitational-acceleration-1"></a><a class="docs-heading-anchor-permalink" href="#Gravitational-acceleration" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Gravitational acceleration is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia">GravityConstant(g=9.81m/s^2)</code></pre><p>Set a constant value for the gravitational acceleration:</p><p class="math-container">\[    g  = 9.81 m s^{-2}\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/GravitationalAcceleration/GravitationalAcceleration.jl#L18-L25">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a> — <span class="docstring-category">Function</span></header><section><div><p>compute_gravity(s:&lt;AbstractGravity)</p><p>Returns the gravitational acceleration </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/GravitationalAcceleration/GravitationalAcceleration.jl#L52-L57">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../shearheating/">« Shear heating</a><a class="docs-footer-nextpage" href="../melting/">Partial Melting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> on <span class="colophon-date" title="Thursday 24 March 2022 19:49">Thursday 24 March 2022</span>. Using Julia version 1.6.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.2.1/man/heatcapacity/index.html b/v0.2.1/man/heatcapacity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Heat Capacity · GeoParams.jl</title><link href="https://fonts.googleapis.com/css?family=Lato|Roboto+Mono" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.11.1/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit">GeoParams.jl</span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li class="is-active"><a class="tocitem" href>Heat Capacity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Heat Capacity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Heat Capacity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/heatcapacity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Heat-capacity"><a class="docs-heading-anchor" href="#Heat-capacity">Heat capacity</a><a id="Heat-capacity-1"></a><a class="docs-heading-anchor-permalink" href="#Heat-capacity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Heat capacity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity" href="#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia">ConstantHeatCapacity(cp=1050J/mol/kg)</code></pre><p>Set a constant heat capacity:</p><p class="math-container">\[    cp  = cst\]</p><p>where <span>$cp$</span> is the thermal heat capacity [<span>$J/kg/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Energy/HeatCapacity.jl#L25-L33">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittacker" href="#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittacker"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittacker</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia">T_HeatCapacity_Whittacker()</code></pre><p>Sets a temperature-dependent heat capacity following the parameterization of Whittacker et al. (2009), Nature:</p><p class="math-container">\[    Cp = (a + b T - c/T^2)/m \]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/kg/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <code>T</code>:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>molmass =   0.22178kg/mol </li></ul><p>Note that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than <span>$J/mol/K$</span> as in eq.3/4 of the paper)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Energy/HeatCapacity.jl#L75-L93">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">Cp = compute_heatcapacity(s:&lt;AbstractHeatCapacity, P, T)</code></pre><p>Returns the heat capacity <code>Cp</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the heat capacity laws implemented.</p><p>Currently available:</p><ul><li>ConstantHeatCapacity</li><li>T_HeatCapacity_Whittacker</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia">julia&gt; T  = (250:100:1250)*K;
+julia&gt; cp = T_HeatCapacity_Whittacker()
+julia&gt; Cp = ComputeHeatCapacity(0,T,cp)
+11-element Vector{Unitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:
+  635.4269997294616 J kg⁻¹ K⁻¹
+  850.7470171764261 J kg⁻¹ K⁻¹
+  962.0959598489883 J kg⁻¹ K⁻¹
+ 1037.5420433770641 J kg⁻¹ K⁻¹
+ 1097.3517921966488 J kg⁻¹ K⁻¹
+ 1149.2745563671706 J kg⁻¹ K⁻¹
+ 1157.7915050948404 J kg⁻¹ K⁻¹
+ 1172.3554874197264 J kg⁻¹ K⁻¹
+ 1186.9194697445964 J kg⁻¹ K⁻¹
+  1201.483452069455 J kg⁻¹ K⁻¹
+ 1216.0474343943067 J kg⁻¹ K⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Energy/HeatCapacity.jl#L192-L222">source</a></section><section><div><pre><code class="language-none">Cp = ComputeHeatCapacity(T::Any, s::AbstractHeatCapacity)</code></pre><p>Computes heat capacity if only temperature (and not pressure) is specified</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Energy/HeatCapacity.jl#L226-L230">source</a></section><section><div><pre><code class="language-none">compute_heatcapacity!(Cp::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat})</code></pre><p>In-place computation of heat capacity <code>Cp</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p>______________________________________________________________________________________________</p><p>compute<em>heatcapacity!(Cp::AbstractArray{</em>T, N}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct, 1}, PhaseRatios::AbstractArray{<em>T, M}, P::AbstractArray{</em>T, N},T::AbstractArray{_T, N})</p><p>In-place computation of heat capacity <code>Cp</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Energy/HeatCapacity.jl#L247-L260">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">compute_heatcapacity!(cp_array::AbstractArray{_T, N},s::T_HeatCapacity_Whittacker{_T}, T::_T=zero(_T), P::_T=zero(_T)) where {_T,N}</code></pre><p>Computes T-dependent heat capacity in-place    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Energy/HeatCapacity.jl#L144-L148">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../creeplaws/">« Creep laws</a><a class="docs-footer-nextpage" href="../conductivity/">Conductivity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> on <span class="colophon-date" title="Thursday 24 March 2022 19:49">Thursday 24 March 2022</span>. Using Julia version 1.6.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.2.1/man/latentheat/index.html b/v0.2.1/man/latentheat/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Latent heat · GeoParams.jl</title><link href="https://fonts.googleapis.com/css?family=Lato|Roboto+Mono" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.11.1/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit">GeoParams.jl</span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li class="is-active"><a class="tocitem" href>Latent heat</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Latent heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Latent heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/latentheat.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Latent-heat"><a class="docs-heading-anchor" href="#Latent-heat">Latent heat</a><a id="Latent-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Latent-heat" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Latent heat (of crystallisation) is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat" href="#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia">ConstantLatentHeat(Q_L=400kJ/kg)</code></pre><p>Set a constant latent heat:</p><p class="math-container">\[    Q_L  = cst\]</p><p>where <span>$Q_L$</span> is the latent heat [<span>$kJ/kg$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Energy/LatentHeat.jl#L20-L28">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.LatentHeat.compute_latent_heat" href="#GeoParams.MaterialParameters.LatentHeat.compute_latent_heat"><code>GeoParams.MaterialParameters.LatentHeat.compute_latent_heat</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">Ql = compute_latent_heat(s:&lt;AbstractLatentHeat)</code></pre><p>Returns the latent heat <code>Q_L</code></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Energy/LatentHeat.jl#L53-L58">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../conductivity/">« Conductivity</a><a class="docs-footer-nextpage" href="../radioactiveheating/">Radioactive heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> on <span class="colophon-date" title="Thursday 24 March 2022 19:49">Thursday 24 March 2022</span>. Using Julia version 1.6.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.2.1/man/listfunctions/index.html b/v0.2.1/man/listfunctions/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>List of functions · GeoParams.jl</title><link href="https://fonts.googleapis.com/css?family=Lato|Roboto+Mono" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.11.1/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit">GeoParams.jl</span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li class="is-active"><a class="tocitem" href>List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>List of functions</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>List of functions</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/listfunctions.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="List-of-all-functions"><a class="docs-heading-anchor" href="#List-of-all-functions">List of all functions</a><a id="List-of-all-functions-1"></a><a class="docs-heading-anchor-permalink" href="#List-of-all-functions" title="Permalink"></a></h1><p>This page details the some of the guidelines that should be followed when contributing to this package.</p><ul><li><a href="../nondimensionalize/#GeoParams.Units"><code>GeoParams.Units</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittacker"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittacker</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.CreepLaw.CreepLawVariables"><code>GeoParams.MaterialParameters.CreepLaw.CreepLawVariables</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.CreepLaw.DislocationCreep"><code>GeoParams.MaterialParameters.CreepLaw.DislocationCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.CreepLaw.LinearViscous"><code>GeoParams.MaterialParameters.CreepLaw.LinearViscous</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.CreepLaw.PowerlawViscous"><code>GeoParams.MaterialParameters.CreepLaw.PowerlawViscous</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittacker"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittacker</code></a></li><li><a href="../latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a></li><li><a href="../phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.CreepLaw.SetDislocationCreep"><code>GeoParams.MaterialParameters.CreepLaw.SetDislocationCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII"><code>GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII"><code>GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a></li><li><a href="../latentheat/#GeoParams.MaterialParameters.LatentHeat.compute_latent_heat"><code>GeoParams.MaterialParameters.LatentHeat.compute_latent_heat</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat"><code>GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity!"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity!</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity!"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity!</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a></li><li><a href="../phasediagrams/#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a></li><li><a href="../plotting/#GeoParams.PlotConductivity"><code>GeoParams.PlotConductivity</code></a></li><li><a href="../plotting/#GeoParams.PlotHeatCapacity"><code>GeoParams.PlotHeatCapacity</code></a></li><li><a href="../plotting/#GeoParams.PlotMeltFraction"><code>GeoParams.PlotMeltFraction</code></a></li><li><a href="../plotting/#GeoParams.PlotPhaseDiagram"><code>GeoParams.PlotPhaseDiagram</code></a></li><li><a href="../plotting/#GeoParams.PlotStressStrainrate_CreepLaw"><code>GeoParams.PlotStressStrainrate_CreepLaw</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a></li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plotting/">« Plotting</a><a class="docs-footer-nextpage" href="../contributing/">Contributing »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> on <span class="colophon-date" title="Thursday 24 March 2022 19:49">Thursday 24 March 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Using Julia version 1.6.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Material Parameters · GeoParams.jl</title><link href="https://fonts.googleapis.com/css?family=Lato|Roboto+Mono" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.11.1/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit">GeoParams.jl</span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li class="is-active"><a class="tocitem" href>Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Material Parameters</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Material Parameters</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/materialparameters.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="MaterialParameters"><a class="docs-heading-anchor" href="#MaterialParameters">MaterialParameters</a><a id="MaterialParameters-1"></a><a class="docs-heading-anchor-permalink" href="#MaterialParameters" title="Permalink"></a></h1><p>Material properties for a given phase can be set with <code>SetMaterialParams</code>, whereas all properties are  stored in the <code>MaterialParams</code> structure. Information about the material parameter is found at <code>MaterialParamsInfo</code>. This can be employed </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParamsInfo" href="#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia">MaterialParamsInfo</code></pre><p>Structure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.</p><p>Usually used in combination with <code>param_info(the_parameter_of_interest)</code></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/MaterialParameters.jl#L22-L30">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SetMaterialParams" href="#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">SetMaterialParams(; Name::String=&quot;&quot;, Phase::Int64=1,
+                    Density             =   nothing, 
+                    Gravity             =   nothing,
+                    CreepLaws           =   nothing, 
+                    Elasticity          =   nothing, 
+                    Plasticity          =   nothing, 
+                    Conductivity        =   nothing, 
+                    HeatCapacity        =   nothing, 
+                    EnergySourceTerms   =   nothing, 
+                    Melting             =   nothing,
+                    SeismicVelocity     =   nothing,
+                    CharDim::GeoUnits   =   nothing)</code></pre><p>Sets material parameters for a given phase. </p><p>If <code>CharDim</code> is specified the input parameters are non-dimensionalized.   Note that if <code>Density</code> is specified, we also set <code>Gravity</code> even if not explicitly listed</p><p><strong>Examples</strong></p><p>Define two viscous creep laws &amp; constant density:</p><pre><code class="language-julia-repl">julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;,
+                       Density   = ConstantDensity(),
+                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))
+Phase 1 : Viscous Matrix
+        | [dimensional units]
+        | 
+        |-- Density           : Constant density: ρ=2900 kg m⁻³ 
+        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  
+        |                       Linear viscosity: η=1.0e21 Pa s</code></pre><p>Define two viscous creep laws &amp; P/T dependent density and nondimensionalize</p><pre><code class="language-julia-repl">julia&gt; CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);
+julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;, Phase=33,
+                              Density   = PT_Density(),
+                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),
+                              CharDim   = CharUnits_GEO)
+Phase 33: Viscous Matrix
+        | [non-dimensional units]
+        | 
+        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0 
+        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18 
+        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001  
+        |                       Linear viscosity: η=10000.0 </code></pre><p>You can also create an array that holds several parameters:</p><pre><code class="language-julia-repl">julia&gt; MatParam        =   Array{MaterialParams, 1}(undef, 2);
+julia&gt; Phase           =   1;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Upper Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                            Density  = ConstantDensity(ρ=2900kg/m^3));
+julia&gt; Phase           =   2;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Lower Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),
+                            Density  = PT_Density(ρ0=3000kg/m^3));
+julia&gt; MatParam
+2-element Vector{MaterialParams}:
+ Phase 1 : Upper Crust
+    | [dimensional units]
+    | 
+    |-- Density           : Constant density: ρ=2900 kg m⁻³ 
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  
+    |                       Linear viscosity: η=1.0e23 Pa s 
+                            
+ Phase 2 : Lower Crust
+    | [dimensional units]
+    | 
+    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa 
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹  
+    |                       Linear viscosity: η=1.0e21 Pa s </code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/MaterialParameters.jl#L83-L165">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParams" href="#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia">MaterialParams</code></pre><p>Structure that holds all material parameters for a given phase</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/MaterialParameters.jl#L51-L56">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../nondimensionalize/">« Nondimensionalization</a><a class="docs-footer-nextpage" href="../density/">Density »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> on <span class="colophon-date" title="Thursday 24 March 2022 19:49">Thursday 24 March 2022</span>. Using Julia version 1.6.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Partial Melting · GeoParams.jl</title><link href="https://fonts.googleapis.com/css?family=Lato|Roboto+Mono" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.11.1/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit">GeoParams.jl</span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li class="is-active"><a class="tocitem" href>Partial Melting</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Partial Melting</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Partial Melting</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/melting.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Melting-Parameterizations"><a class="docs-heading-anchor" href="#Melting-Parameterizations">Melting Parameterizations</a><a id="Melting-Parameterizations-1"></a><a class="docs-heading-anchor-permalink" href="#Melting-Parameterizations" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>A number of melting parameterisations are implemented, which can be set with:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Caricchi" href="#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia">MeltingParam_Caricchi()</code></pre><p>Implements the T-dependent melting parameterisation used by Caricchi et al </p><p class="math-container">\[    \theta = (800.0 .- (T + 273.15))./23.0 \]</p><p class="math-container">\[    \phi_{solid} = 1.0 - {1.0 \over (1.0 + e^\theta)}; \]</p><p>Note that T is in Kelvin.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/MeltFraction/MeltingParameterization.jl#L23-L36">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute the melt fraction at given <code>T</code> and <code>P</code>, use:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction!" href="#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">ComputeMeltingParam!(ϕ::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T:AbstractArray{&lt;:AbstractFloat}, p::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the collum <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/MeltFraction/MeltingParameterization.jl#L91-L95">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction" href="#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">ComputeMeltingParam(P,T, p::AbstractPhaseDiagramsStruct)</code></pre><p>Computes melt fraction in case we use a phase diagram lookup table. The table should have the collum <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/MeltFraction/MeltingParameterization.jl#L82-L86">source</a></section><section><div><pre><code class="language-none">ComputeMeltingParam!(ϕ::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/MeltFraction/MeltingParameterization.jl#L110-L114">source</a></section></article><p>Also note that phase diagrams can be imported using <code>PerpleX_LaMEM_Diagram</code>.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../gravity/">« Gravity</a><a class="docs-footer-nextpage" href="../phasediagrams/">Phase Diagrams »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> on <span class="colophon-date" title="Thursday 24 March 2022 19:49">Thursday 24 March 2022</span>. Using Julia version 1.6.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Nondimensionalization · GeoParams.jl</title><link href="https://fonts.googleapis.com/css?family=Lato|Roboto+Mono" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.11.1/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit">GeoParams.jl</span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li class="is-active"><a class="tocitem" href>Nondimensionalization</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Specify-characteristic-values"><span>Specify characteristic values</span></a></li><li class="toplevel"><a class="tocitem" href="#(Non)-dimensionalize-parameters"><span>(Non)-dimensionalize parameters</span></a></li></ul></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Nondimensionalization</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Nondimensionalization</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/nondimensionalize.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Nondimensionalization"><a class="docs-heading-anchor" href="#Nondimensionalization">Nondimensionalization</a><a id="Nondimensionalization-1"></a><a class="docs-heading-anchor-permalink" href="#Nondimensionalization" title="Permalink"></a></h1><p>Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between <code>GEO</code>, <code>SI</code> or <code>NO</code> units:</p><ul><li><code>SI</code> units assume all input and output is in <code>SI</code> units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).</li><li><code>GEO</code> units uses <code>SI</code> units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as <code>Myrs</code>,<code>km</code> or <code>MPa</code></li><li><code>NO</code> units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that <code>velocity</code> is given in <code>m/s</code>).</li></ul><p>A dimensional parameter can be transformed into a non-dimensional one with <code>Nondimensionalize</code>.</p><h1 id="Specify-characteristic-values"><a class="docs-heading-anchor" href="#Specify-characteristic-values">Specify characteristic values</a><a id="Specify-characteristic-values-1"></a><a class="docs-heading-anchor-permalink" href="#Specify-characteristic-values" title="Permalink"></a></h1><p>Characteristic values can be defined in 3 ways.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units" href="#GeoParams.Units"><code>GeoParams.Units</code></a> — <span class="docstring-category">Module</span></header><section><div><pre><code class="language-julia">This provides units and creates a non-dimensionalization object</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Units.jl#L1-L3">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.AbstractGeoUnit" href="#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><p>AbstractGeoUnit</p><p>Abstract supertype for geo units.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Units.jl#L57-L61">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnit" href="#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia">Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.
+
+Having that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.
+With the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Units.jl#L72-L79">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnits" href="#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia">GeoUnits
+
+Structure that holds parameters used for non-dimensionalization</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Units.jl#L244-L248">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GEO_units" href="#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)</code></pre><p>Creates a non-dimensionalization object using GEO units.</p><p>GEO units implies that upon dimensionalization, <code>time</code> will be in <code>Myrs</code>, <code>length</code> in <code>km</code>, stress in <code>MPa</code>, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (<code>km</code> or <code>m</code>), provided the unit is specified.</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl">julia&gt; CharUnits = GEO_units()
+Employing GEO units 
+Characteristic values: 
+         length:      1000 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C
+julia&gt; CharUnits.velocity
+1.0e-7 m s⁻¹</code></pre><p>If we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic <code>length</code>:</p><pre><code class="language-julia-repl">julia&gt; CharUnits = GEO_units(length=10km)
+Employing GEO units 
+Characteristic values: 
+         length:      10 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Units.jl#L298-L329">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.SI_units" href="#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)</code></pre><p>Specify the characteristic values using SI units </p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl">julia&gt; CharUnits = SI_units(length=1000m)
+Employing SI units 
+Characteristic values: 
+         length:      1000 m
+         time:        1.0e19 s
+         stress:      10 Pa
+         temperature: 1000.0 K</code></pre><p>Note that the same can be achieved if the input is given in <code>km</code>:</p><pre><code class="language-julia-repl">julia&gt; CharUnits = SI_units(length=1km)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Units.jl#L353-L372">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.NO_units" href="#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)</code></pre><p>Specify the characteristic values in non-dimensional units</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl">julia&gt; using GeoParams;
+julia&gt; CharUnits = NO_units()
+Employing NONE units 
+Characteristic values: 
+         length:      1
+         time:        1.0 
+         stress:      1
+         temperature: 1.0</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Units.jl#L395-L411">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_val" href="#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia">This unpacks the numerical value of `GeoUnit` in a structure, without the units.
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_val ρ,α = r
+julia&gt; α
+4.0e-5
+julia&gt; typeof(α)
+Float64</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/unpack.jl#L4-L23">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_units" href="#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia">This unpacks the numerical value with units of `GeoUnit` parameters in a structure
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_units ρ,α = r
+julia&gt; α
+4.0e-5 K⁻¹·⁰
+julia&gt; typeof(α)
+Quantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/unpack.jl#L44-L63">source</a></section></article><h1 id="(Non)-dimensionalize-parameters"><a class="docs-heading-anchor" href="#(Non)-dimensionalize-parameters">(Non)-dimensionalize parameters</a><a id="(Non)-dimensionalize-parameters-1"></a><a class="docs-heading-anchor-permalink" href="#(Non)-dimensionalize-parameters" title="Permalink"></a></h1><p>Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.nondimensionalize" href="#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">nondimensionalize(param, CharUnits::GeoUnits{TYPE})</code></pre><p>Nondimensionalizes <code>param</code> using the characteristic values specified in <code>CharUnits</code></p><p><strong>Example 1</strong></p><pre><code class="language-julia-repl">julia&gt; using GeoParams;
+julia&gt; CharUnits =   GEO_units();
+julia&gt; v         =   3cm/yr
+3 cm yr⁻¹ 
+julia&gt; v_ND      =   nondimensionalize(v, CharUnits) 
+0.009506426344208684</code></pre><p><strong>Example 2</strong></p><p>In geodynamics one sometimes encounters more funky units</p><pre><code class="language-julia-repl">julia&gt; CharUnits =   GEO_units();
+julia&gt; A         =   6.3e-2MPa^-3.05*s^-1
+0.063 MPa⁻³·⁰⁵ s⁻¹
+julia&gt; A_ND      =   nondimensionalize(A, CharUnits) 
+7.068716262102384e14</code></pre><p>In case you are interested to see how the units of <code>A</code> look like in different units, use this function from the <a href="https://github.com/PainterQubits/Unitful.jl">Unitful</a> package:</p><pre><code class="language-julia-repl">julia&gt; uconvert(u&quot;Pa^-3.05*s^-1&quot;,A) 
+3.157479571851836e-20 Pa⁻³·⁰⁵</code></pre><p>and to see it decomposed in the basic <code>SI</code> units of length, mass and time:</p><pre><code class="language-julia-repl">julia&gt; upreferred(A)
+3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Units.jl#L429-L463">source</a></section><section><div><pre><code class="language-none">MatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Non-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Units.jl#L517-L522">source</a></section><section><div><pre><code class="language-none">nondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>nondimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Units.jl#L539-L543">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.dimensionalize" href="#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes <code>param</code> into the dimensions <code>param_dim</code> using the characteristic values specified in <code>CharUnits</code>.  </p><p><strong>Example</strong></p><pre><code class="language-julia-repl">julia&gt; CharUnits =   GEO_units();
+julia&gt; v_ND      =   nondimensionalize(3cm/yr, CharUnits) 
+0.031688087814028945
+julia&gt; v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) 
+3.0 cm yr⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Units.jl#L575-L589">source</a></section><section><div><pre><code class="language-none">dimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Units.jl#L613-L618">source</a></section><section><div><pre><code class="language-none">Dimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>Dimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Units.jl#L634-L638">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.isDimensional" href="#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">isDimensional(MatParam::AbstractMaterialParam)</code></pre><p><code>true</code> if MatParam is in dimensional units.    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Units.jl#L658-L662">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../">« Home</a><a class="docs-footer-nextpage" href="../materialparameters/">Material Parameters »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> on <span class="colophon-date" title="Thursday 24 March 2022 19:49">Thursday 24 March 2022</span>. Using Julia version 1.6.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Phase Diagrams · GeoParams.jl</title><link href="https://fonts.googleapis.com/css?family=Lato|Roboto+Mono" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.11.1/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit">GeoParams.jl</span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li class="is-active"><a class="tocitem" href>Phase Diagrams</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Perple_X"><span>Perple_X</span></a></li></ul></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Phase Diagrams</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Phase Diagrams</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/phasediagrams.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Phase-Diagrams"><a class="docs-heading-anchor" href="#Phase-Diagrams">Phase Diagrams</a><a id="Phase-Diagrams-1"></a><a class="docs-heading-anchor-permalink" href="#Phase-Diagrams" title="Permalink"></a></h1><p>It is possible to employ phase diagrams as lookup tables, which can be used to compute density, melt fraction or seismic properties, for example. </p><h1 id="Perple_X"><a class="docs-heading-anchor" href="#Perple_X">Perple_X</a><a id="Perple_X-1"></a><a class="docs-heading-anchor-permalink" href="#Perple_X" title="Permalink"></a></h1><p>A popular way to compute phase diagrams (pseudosections) for a given (fixed) chemical composition as a function of pressure and temperature is by using <a href="https://www.perplex.ethz.ch">Perple_X</a>. Once a stable assemblage is computed, through Gibbs energy minimisation, it allows you to output a large number of properties such as density, melt fraction or seismic velocities.</p><p>Within GeoParams, we can import this diagram (provided it is formatted in the same manner as <code>LaMEM</code> expects <code>Perple_X</code> input to be).</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PerpleX_LaMEM_Diagram" href="#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">PD_Data = PerpleX_LaMEM_Diagram(fname::String; CharDim = nothing)</code></pre><p>Reads a precomputed phase diagram in the <code>LaMEM/Perple_X</code> format (which is a phase diagram computed using <code>Perple_X</code>, but formatted in a manner that is readable using LaMEM). The data is stored in the <code>PhaseDiagram_LookupTable</code> structure.</p><p>If the <code>CharDim</code> object is specified, the values of all diagrams will be non-dimensionalized.</p><p><strong>Example</strong></p><pre><code class="language-julia">julia&gt; PD_Data = PerpleX_LaMEM_Diagram(&quot;./test_data/Peridotite.in&quot;)
+Perple_X/LaMEM Phase Diagram Lookup Table: 
+                      File    :   ./test_data/Peridotite.in
+                      T       :   293.0 - 1573.000039
+                      P       :   1.0e7 - 2.9999999944e9
+                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp
+                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs
+                                  :Vp, :Vs, :VpVs</code></pre><p>Once imported, the properties on the diagram can be interpolated in a simple manner:</p><pre><code class="language-none">julia&gt; PD_Data.Rho(1500,1e7)
+3042.836820256982</code></pre><p>This also works for vectors or arrays:</p><pre><code class="language-julia">julia&gt; T = [1500 1800; 1233 1300]
+julia&gt; P = [1e8 1e9; 1e7 1e7]
+julia&gt; rho = PD_Data.Rho.(T,P)</code></pre><p>(Note the dot <code>.</code> in front of the bracket while evaluating arrays).</p><p>The fields that are available depend on what is listed in the diagram file.  The units of the fields are automatically evaluated, and employed to non-dimensionalize the parameters if <code>CharDim</code> is specified. </p><p><strong>Algorithm</strong></p><p>Internally, we employ linear interpolation, as provided by the <a href="https://github.com/JuliaMath/Interpolations.jl">Interpolations.jl</a> package. Values outside the range of the diagram are set to the boundary of the diagram. The interpolation object is directly encoded in the <code>PhaseDiagram_LookupTable</code>` object.  </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/PhaseDiagrams/PhaseDiagrams.jl#L39-L80">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable" href="#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia">Contains data of a Phase Diagram that is regularly spaced in P &amp; T</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/PhaseDiagrams/PhaseDiagrams.jl#L15-L17">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../melting/">« Partial Melting</a><a class="docs-footer-nextpage" href="../seismicvelocity/">Seismic Velocity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> on <span class="colophon-date" title="Thursday 24 March 2022 19:49">Thursday 24 March 2022</span>. Using Julia version 1.6.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Plotting · GeoParams.jl</title><link href="https://fonts.googleapis.com/css?family=Lato|Roboto+Mono" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.11.1/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit">GeoParams.jl</span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li class="is-active"><a class="tocitem" href>Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Plotting</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Plotting</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/plotting.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Plotting"><a class="docs-heading-anchor" href="#Plotting">Plotting</a><a id="Plotting-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting" title="Permalink"></a></h1><p>We provide a number of plotting routines. Note that these plotting routines only become available once the <code>Plots</code> package is loaded.</p><h3 id="Plot-CreepLaws"><a class="docs-heading-anchor" href="#Plot-CreepLaws">Plot CreepLaws</a><a id="Plot-CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#Plot-CreepLaws" title="Permalink"></a></h3><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotStressStrainrate_CreepLaw" href="#GeoParams.PlotStressStrainrate_CreepLaw"><code>GeoParams.PlotStressStrainrate_CreepLaw</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">PlotStressStrainrate_CreepLaw(x::AbstractCreepLaw; p::CreepLawParams=nothing, Strainrate=(1e-18,1e-12), CreatePlot::Bool=false)</code></pre><p>Plots deviatoric stress versus deviatoric strain rate for a single creeplaw.      Note: if you want to create plots or use the <code>CreatePlot=true</code> option you need to install the <code>Plots.jl</code> package in julia     which is not added as a dependency here (as it is a rather large dependency).</p><p><strong>Example 1</strong></p><pre><code class="language-julia-repl">julia&gt; x=LinearViscous()
+Linear viscosity: η=1.0e20 Pa s
+julia&gt; Tau_II, Eps_II,  = PlotStressStrainrate_CreepLaw(x);</code></pre><p>Next you can plot this with</p><pre><code class="language-julia-repl">julia&gt; using Plots;
+julia&gt; plot(ustrip(Eps_II),ustrip(Tau_II), xaxis=:log, yaxis=:log,xlabel=&quot;strain rate [1/s]&quot;,ylabel=&quot;Dev. Stress [MPa]&quot;)</code></pre><p>Note that <code>ustrip</code> removes the units of the arrays, as many of the plotting packages don&#39;t know how to deal with that.</p><p>You could also have done:</p><pre><code class="language-julia-repl">julia&gt; using Plots;
+julia&gt; Tau_II, Eps_II, pl = PlotStressStrainrate_CreepLaw(x,CreatePlot=true);</code></pre><p>which will generate the following plot <img src="../assets/img/Stress_Strainrate_LinearViscous.png" alt="subet1"/></p><p>The plot can be customized as </p><pre><code class="language-julia-repl">julia&gt; plot(pl, title=&quot;Linear viscosity&quot;, linecolor=:red)</code></pre><p>See the <a href="https://github.com/JuliaPlots/Plots.jl">Plots.jl</a> package for more options.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Plotting.jl#L27-L61">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotHeatCapacity" href="#GeoParams.PlotHeatCapacity"><code>GeoParams.PlotHeatCapacity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">T,Cp,plt = PlotHeatCapacity(cp::AbstractHeatCapacity; T=nothing, plt=nothing, lbl=nothing)</code></pre><p>Creates a plot of temperature <code>T</code> vs. heat capacity, as specified in cp (which can be temperature-dependent).</p><p><strong>Optional parameters</strong></p><ul><li>T: temperature range</li><li>plt: a previously generated plotting object</li><li>lbl: label of the curve</li></ul><p><strong>Example</strong></p><pre><code class="language-none">julia&gt; cp = T_HeatCapacity_Whittacker()
+julia&gt; T,Cp,plt = PlotHeatCapacity(cp)</code></pre><p>you can now save the figure to disk with:</p><pre><code class="language-none">julia&gt; using Plots
+julia&gt; savefig(plt,&quot;Tdependent_heatcapacity.png&quot;)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Plotting.jl#L97-L118">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotConductivity" href="#GeoParams.PlotConductivity"><code>GeoParams.PlotConductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">T,Kk,plt = PlotConductivity(cp::AbstractConductivity; T=nothing, plt=nothing, lbl=nothing)</code></pre><p>Creates a plot of temperature <code>T</code> vs. thermal conductivity, as specified in <code>k</code> (which can be temperature-dependent).</p><p><strong>Optional parameters</strong></p><ul><li><code>T</code>: temperature range</li><li><code>plt</code>: a previously generated plotting object</li><li><code>lbl</code>: label of the curve</li></ul><p><strong>Example</strong></p><pre><code class="language-none">julia&gt; k = T_Conductivity_Whittacker()
+julia&gt; T,KK,plt = PlotConductivity(k)</code></pre><p>you can now save the figure to disk with:</p><pre><code class="language-none">julia&gt; using Plots
+julia&gt; savefig(plt,&quot;Tdependent_conductivity.png&quot;)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Plotting.jl#L143-L164">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotMeltFraction" href="#GeoParams.PlotMeltFraction"><code>GeoParams.PlotMeltFraction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">T,phi,plt = PlotMeltFraction(p::AbstractMeltingParam; T=nothing, plt=nothing, lbl=nothing)</code></pre><p>Creates a plot of temperature <code>T</code> vs. melt fraction, as specified in <code>p</code>.  The 1D curve can be evaluated at a specific pressure <code>P</code> which can be given as a scalar or as an array of the same size as <code>T</code></p><p><strong>Optional parameters</strong></p><ul><li><code>T</code>: temperature range</li><li><code>P</code>: pressure </li><li><code>plt</code>: a previously generated plotting object</li><li><code>lbl</code>: label of the curve</li></ul><p><strong>Example</strong></p><pre><code class="language-none">julia&gt; p        =  MeltingParam_Caricchi()
+julia&gt; T,phi,plt = PlotMeltFraction(p)</code></pre><p>you can now save the figure to disk with:</p><pre><code class="language-none">julia&gt; using Plots
+julia&gt; savefig(plt,&quot;MeltFraction.png&quot;)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Plotting.jl#L191-L214">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotPhaseDiagram" href="#GeoParams.PlotPhaseDiagram"><code>GeoParams.PlotPhaseDiagram</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">plt, data, Tvec, Pvec = PlotPhaseDiagram(p::PhaseDiagram_LookupTable; fieldname::Symbol, Tvec=nothing, Pvec=nothing)</code></pre><p>Plots a phase diagram as a function of <code>T</code> (x-axis) and <code>P</code> (y-axis). We either use the default ranges of the diagram, or you can specify the temperature and pressure ranges (while specifying units). The return arguments are the plotting object <code>plt</code> (so you can modify properties) as well as the data that is being plotted</p><p><strong>Example</strong></p><pre><code class="language-julia">julia&gt; PD_data =  Read_LaMEM_Perple_X_Diagram(&quot;Peridotite.in&quot;)
+Perple_X/LaMEM Phase Diagram Lookup Table: 
+                      File    :   Peridotite.in
+                      T       :   293.0 - 1573.000039
+                      P       :   1.0e7 - 2.9999999944e9
+                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp
+                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs
+                                  :Vp, :Vs, :VpVs, :cpxFrac
+julia&gt; PlotPhaseDiagram(PD_data,:meltFrac, Tvec=(100:1:1400).*C, Pvec=(.1:.1:30).*kbar )</code></pre><p>This will generate the following plot <img src="../assets/img/PhaseDiagram.png" alt="subet2"/></p><p>You can also use the default pressure/temperature ranges in the diagrams:</p><pre><code class="language-julia">julia&gt; PlotPhaseDiagram(PD_data,:Rho)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Plotting.jl#L249-L277">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../seismicvelocity/">« Seismic Velocity</a><a class="docs-footer-nextpage" href="../listfunctions/">List of functions »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> on <span class="colophon-date" title="Thursday 24 March 2022 19:49">Thursday 24 March 2022</span>. Using Julia version 1.6.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Radioactive heat · GeoParams.jl</title><link href="https://fonts.googleapis.com/css?family=Lato|Roboto+Mono" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.11.1/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit">GeoParams.jl</span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li class="is-active"><a class="tocitem" href>Radioactive heat</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Radioactive heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Radioactive heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/radioactiveheating.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Radioactive-heat"><a class="docs-heading-anchor" href="#Radioactive-heat">Radioactive heat</a><a id="Radioactive-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Radioactive-heat" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Radioactive heat sources are defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat" href="#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia">ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)</code></pre><p>Set a constant radioactive heat:</p><p class="math-container">\[    H_r  = cst\]</p><p>where <span>$H_r$</span> is the radioactive heat source [<span>$Watt/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Energy/RadioactiveHeat.jl#L20-L28">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat" href="#GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat"><code>GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">H_r = compute_radioactive_heat(s:&lt;AbstractRadioactiveHeat)</code></pre><p>Returns the radioactive heat <code>H_r</code></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Energy/RadioactiveHeat.jl#L53-L58">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../latentheat/">« Latent heat</a><a class="docs-footer-nextpage" href="../shearheating/">Shear heating »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> on <span class="colophon-date" title="Thursday 24 March 2022 19:49">Thursday 24 March 2022</span>. Using Julia version 1.6.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.2.1/man/seismicvelocity/index.html b/v0.2.1/man/seismicvelocity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Seismic Velocity · GeoParams.jl</title><link href="https://fonts.googleapis.com/css?family=Lato|Roboto+Mono" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.11.1/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit">GeoParams.jl</span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li class="is-active"><a class="tocitem" href>Seismic Velocity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Seismic Velocity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Seismic Velocity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/seismicvelocity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Seismic-velocity"><a class="docs-heading-anchor" href="#Seismic-velocity">Seismic velocity</a><a id="Seismic-velocity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Seismic velocity can specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity" href="#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia">ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)</code></pre><p>Set a constant seismic P and S-wave velocity:</p><p class="math-container">\[    V_p = cst \
+    V_s = cst\]</p><p>where <span>$V_p, V_s$</span> are the P-wave and S-wave velocities [<span>$km/s$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/SeismicVelocity/SeismicVelocity.jl#L25-L34">source</a></section></article><p>In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.</p><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To evaluate seismic velocity within a user routine, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity!" href="#GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity!"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">compute_swave_velocity!(Vs_array::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, s::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of S-wave velocity as a function of <code>T,P</code>, in case we are using a lookup table.    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/SeismicVelocity/SeismicVelocity.jl#L117-L121">source</a></section><section><div><pre><code class="language-none">compute_swave_velocity!(Vs_array::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of S-wave velocity <code>Vp</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/SeismicVelocity/SeismicVelocity.jl#L154-L160">source</a></section><section><div><pre><code class="language-none">compute_swave_velocity!(Vs_array::AbstractArray{&lt;:AbstractFloat,N}, PhaseRatios::AbstractArray{&lt;:AbstractFloat, M}, P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of seismic S-wave velocity <code>Vs</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/SeismicVelocity/SeismicVelocity.jl#L208-L214">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity!" href="#GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity!"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">compute_pwave_velocity!(Vp_array::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, s::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of P-wave velocity as a function of <code>T,P</code>, in case we are using a lookup table.    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/SeismicVelocity/SeismicVelocity.jl#L107-L111">source</a></section><section><div><pre><code class="language-none">compute_pwave_velocity!(Vp_array::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of P-wave velocity <code>Vp</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/SeismicVelocity/SeismicVelocity.jl#L129-L135">source</a></section><section><div><pre><code class="language-none">compute_pwave_velocity!(Vp_array::AbstractArray{&lt;:AbstractFloat,N}, PhaseRatios::AbstractArray{&lt;:AbstractFloat, M}, P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of seismic P-wave velocity <code>Vp</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/SeismicVelocity/SeismicVelocity.jl#L179-L185">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity" href="#GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">compute_pwave_velocity(P,T, s::PhaseDiagram_LookupTable)</code></pre><p>Interpolates <code>Vp</code> as a function of <code>T,P</code>   </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/SeismicVelocity/SeismicVelocity.jl#L89-L93">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity" href="#GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">compute_swave_velocity(P,T, s::PhaseDiagram_LookupTable)</code></pre><p>Interpolates <code>Vs</code> as a function of <code>T,P</code>   </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/SeismicVelocity/SeismicVelocity.jl#L98-L102">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../phasediagrams/">« Phase Diagrams</a><a class="docs-footer-nextpage" href="../plotting/">Plotting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> on <span class="colophon-date" title="Thursday 24 March 2022 19:49">Thursday 24 March 2022</span>. Using Julia version 1.6.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Shear heating · GeoParams.jl</title><link href="https://fonts.googleapis.com/css?family=Lato|Roboto+Mono" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.11.1/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit">GeoParams.jl</span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material 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fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Shear-heating"><a class="docs-heading-anchor" href="#Shear-heating">Shear heating</a><a id="Shear-heating-1"></a><a class="docs-heading-anchor-permalink" href="#Shear-heating" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Heat caused by non-recoverable deformation can be specified in </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.ConstantShearheating" href="#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia">ConstantShearheating(Χ=0.0NoUnits)</code></pre><p>Set the shear heating efficiency [0-1] parameter</p><p class="math-container">\[Χ  = cst\]</p><p>where <span>$\Chi$</span> is the shear heating efficiency [NoUnits]</p><p>Shear heating is computed as</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}(\dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Energy/Shearheating.jl#L22-L36">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">H_s = compute_shearheating(s:&lt;AbstractShearheating, τ, ε, ε_el)</code></pre><p>Computes the shear heating source term</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Energy/Shearheating.jl#L78-L93">source</a></section><section><div><pre><code class="language-none">H_s = ComputeShearheating(s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij} \]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Energy/Shearheating.jl#L97-L110">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating!" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia">compute_shearheating!(H_s, s:&lt;AbstractShearheating,  τ, ε, ε_el)</code></pre><p>Computes the shear heating source term in-place</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul><p><em>NOTE:</em> The shear heating terms require the full deviatoric stress &amp; strain rate tensors, i.e.:</p><p class="math-container">\[2D: \tau_{ij} = \left(   
+                \begin{matrix}
+                    \tau_{xx} &amp; \tau_{xz} \\
+                    \tau_{zx} &amp; \tau_{zz} 
+                \end{matrix} 
+            \right)\]</p><p>Since <span>$\tau_{zx}=\tau_{xz}$</span>, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used! </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Energy/Shearheating.jl#L114-L141">source</a></section><section><div><pre><code class="language-none">compute_shearheating!(H_s, s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term <code>H_s</code> in-place when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij} \]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/d957bb10174c13e6dbc8771679654666e09b5759/src/Energy/Shearheating.jl#L144-L157">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../radioactiveheating/">« Radioactive heat</a><a class="docs-footer-nextpage" href="../gravity/">Gravity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> on <span class="colophon-date" title="Thursday 24 March 2022 19:49">Thursday 24 March 2022</span>. Using Julia version 1.6.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Search · GeoParams.jl</title><link href="https://fonts.googleapis.com/css?family=Lato|Roboto+Mono" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.11.1/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL=".."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../assets/documenter.js"></script><script src="../siteinfo.js"></script><script src="../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit">GeoParams.jl</span></div><form class="docs-search" action><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../man/nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../man/materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../man/density/">Density</a></li><li><a class="tocitem" href="../man/creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../man/heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../man/conductivity/">Conductivity</a></li><li><a class="tocitem" href="../man/latentheat/">Latent heat</a></li><li><a class="tocitem" href="../man/radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../man/shearheating/">Shear heating</a></li><li><a class="tocitem" href="../man/gravity/">Gravity</a></li><li><a class="tocitem" href="../man/melting/">Partial Melting</a></li><li><a class="tocitem" href="../man/phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../man/seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../man/plotting/">Plotting</a></li><li><a class="tocitem" href="../man/listfunctions/">List of functions</a></li><li><a class="tocitem" href="../man/contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Search</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Search</a></li></ul></nav><div class="docs-right"><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article><p id="documenter-search-info">Loading search...</p><ul id="documenter-search-results"></ul></article><nav class="docs-footer"><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> on <span class="colophon-date" title="Thursday 24 March 2022 19:49">Thursday 24 March 2022</span>. Using Julia version 1.6.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body><script src="../search_index.js"></script><script src="../assets/search.js"></script></html>
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+var documenterSearchIndex = {"docs":
+[{"location":"man/phasediagrams/#Phase-Diagrams","page":"Phase Diagrams","title":"Phase Diagrams","text":"","category":"section"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"It is possible to employ phase diagrams as lookup tables, which can be used to compute density, melt fraction or seismic properties, for example. ","category":"page"},{"location":"man/phasediagrams/#Perple_X","page":"Phase Diagrams","title":"Perple_X","text":"","category":"section"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"A popular way to compute phase diagrams (pseudosections) for a given (fixed) chemical composition as a function of pressure and temperature is by using Perple_X. 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The interpolation object is directly encoded in the PhaseDiagram_LookupTable` object.  \n\n\n\n\n\n","category":"function"},{"location":"man/phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","page":"Phase Diagrams","title":"GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","text":"Contains data of a Phase Diagram that is regularly spaced in P & T\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#MaterialParameters","page":"Material Parameters","title":"MaterialParameters","text":"","category":"section"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"Material properties for a given phase can be set with SetMaterialParams, whereas all properties are  stored in the MaterialParams structure. Information about the material parameter is found at MaterialParamsInfo. This can be employed ","category":"page"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"MaterialParamsInfo\nSetMaterialParams\nMaterialParams","category":"page"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParamsInfo","text":"MaterialParamsInfo\n\nStructure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.\n\nUsually used in combination with param_info(the_parameter_of_interest)\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.SetMaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.SetMaterialParams","text":"SetMaterialParams(; Name::String=\"\", Phase::Int64=1,\n                    Density             =   nothing, \n                    Gravity             =   nothing,\n                    CreepLaws           =   nothing, \n                    Elasticity          =   nothing, \n                    Plasticity          =   nothing, \n                    Conductivity        =   nothing, \n                    HeatCapacity        =   nothing, \n                    EnergySourceTerms   =   nothing, \n                    Melting             =   nothing,\n                    SeismicVelocity     =   nothing,\n                    CharDim::GeoUnits   =   nothing)\n\nSets material parameters for a given phase. \n\nIf CharDim is specified the input parameters are non-dimensionalized.   Note that if Density is specified, we also set Gravity even if not explicitly listed\n\nExamples\n\nDefine two viscous creep laws & constant density:\n\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\",\n                       Density   = ConstantDensity(),\n                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))\nPhase 1 : Viscous Matrix\n        | [dimensional units]\n        | \n        |-- Density           : Constant density: ρ=2900 kg m⁻³ \n        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  \n        |                       Linear viscosity: η=1.0e21 Pa s\n\nDefine two viscous creep laws & P/T dependent density and nondimensionalize\n\njulia> CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\", Phase=33,\n                              Density   = PT_Density(),\n                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),\n                              CharDim   = CharUnits_GEO)\nPhase 33: Viscous Matrix\n        | [non-dimensional units]\n        | \n        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0 \n        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18 \n        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001  \n        |                       Linear viscosity: η=10000.0 \n\nYou can also create an array that holds several parameters:\n\njulia> MatParam        =   Array{MaterialParams, 1}(undef, 2);\njulia> Phase           =   1;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Upper Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                            Density  = ConstantDensity(ρ=2900kg/m^3));\njulia> Phase           =   2;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Lower Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),\n                            Density  = PT_Density(ρ0=3000kg/m^3));\njulia> MatParam\n2-element Vector{MaterialParams}:\n Phase 1 : Upper Crust\n    | [dimensional units]\n    | \n    |-- Density           : Constant density: ρ=2900 kg m⁻³ \n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  \n    |                       Linear viscosity: η=1.0e23 Pa s \n                            \n Phase 2 : Lower Crust\n    | [dimensional units]\n    | \n    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa \n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹  \n    |                       Linear viscosity: η=1.0e21 Pa s \n\n\n\n\n\n","category":"function"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParams","text":"MaterialParams\n\nStructure that holds all material parameters for a given phase\n\n\n\n\n\n","category":"type"},{"location":"man/contributing/#Contributing","page":"Contributing","title":"Contributing","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"You can contribute for example by adding new creep laws or by adding new constitutive relationships. If you invest a bit of time now, it will save others in the community a lot of time! The simplest way to do this is by cloning the repository, and creating a new branch for your feature. Once you are happy with what you added (and after you added a test to ensure that it will keep working with future changes), create a pull request and we will evaluate & merge it.","category":"page"},{"location":"man/contributing/#Style-Guide","page":"Contributing","title":"Style Guide","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Follow the style of the surrounding text when making changes. When adding new features please try to stick to the following points whenever applicable.","category":"page"},{"location":"man/contributing/#Julia","page":"Contributing","title":"Julia","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"4-space indentation;\nmodules spanning entire files should not be indented, but modules that have surrounding code should;\nno blank lines at the start or end of files;\ndo not manually align syntax such as = or :: over adjacent lines;\nuse function ... end when a method definition contains more than one toplevel expression;\nrelated short-form method definitions don't need a new line between them;\nunrelated or long-form method definitions must have a blank line separating each one;\nsurround all binary operators with whitespace except for ::, ^, and :;\nfiles containing a single module ... end must be named after the module;\nmethod arguments should be ordered based on the amount of usage within the method body;\nmethods extended from other modules must follow their inherited argument order, not the above rule;\nexplicit return should be preferred except in short-form method definitions;\navoid dense expressions where possible e.g. prefer nested ifs over complex nested ?s;\ninclude a trailing , in vectors, tuples, or method calls that span several lines;\ndo not use multiline comments (#= and =#);\nwrap long lines as near to 92 characters as possible, this includes docstrings;\nfollow the standard naming conventions used in Base.","category":"page"},{"location":"man/contributing/#Markdown","page":"Contributing","title":"Markdown","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Use unbalanced # headers, i.e. no # on the right hand side of the header text;\ninclude a single blank line between toplevel blocks;\nunordered lists must use * bullets with two preceding spaces;\ndo not hard wrap lines;\nuse emphasis (*) and bold (**) sparingly;\nalways use fenced code blocks instead of indented blocks;\nfollow the conventions outlined in the Julia documentation page on documentation.","category":"page"},{"location":"man/latentheat/#Latent-heat","page":"Latent heat","title":"Latent heat","text":"","category":"section"},{"location":"man/latentheat/#Methods","page":"Latent heat","title":"Methods","text":"","category":"section"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"Latent heat (of crystallisation) is defined as ","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","category":"page"},{"location":"man/latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","page":"Latent heat","title":"GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","text":"ConstantLatentHeat(Q_L=400kJ/kg)\n\nSet a constant latent heat:\n\n    Q_L  = cst\n\nwhere Q_L is the latent heat [kJkg].\n\n\n\n\n\n","category":"type"},{"location":"man/latentheat/#Computational-routines","page":"Latent heat","title":"Computational routines","text":"","category":"section"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"To compute, use this:","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"GeoParams.MaterialParameters.LatentHeat.compute_latent_heat","category":"page"},{"location":"man/latentheat/#GeoParams.MaterialParameters.LatentHeat.compute_latent_heat","page":"Latent heat","title":"GeoParams.MaterialParameters.LatentHeat.compute_latent_heat","text":"Ql = compute_latent_heat(s:<AbstractLatentHeat)\n\nReturns the latent heat Q_L\n\n\n\n\n\n","category":"function"},{"location":"man/radioactiveheating/#Radioactive-heat","page":"Radioactive heat","title":"Radioactive heat","text":"","category":"section"},{"location":"man/radioactiveheating/#Methods","page":"Radioactive heat","title":"Methods","text":"","category":"section"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"Radioactive heat sources are defined as ","category":"page"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","category":"page"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","text":"ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)\n\nSet a constant radioactive heat:\n\n    H_r  = cst\n\nwhere H_r is the radioactive heat source [Wattm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/radioactiveheating/#Computational-routines","page":"Radioactive heat","title":"Computational routines","text":"","category":"section"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"To compute, use this:","category":"page"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat","category":"page"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat","text":"H_r = compute_radioactive_heat(s:<AbstractRadioactiveHeat)\n\nReturns the radioactive heat H_r\n\n\n\n\n\n","category":"function"},{"location":"man/listfunctions/#List-of-all-functions","page":"List of functions","title":"List of all functions","text":"","category":"section"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity","page":"Seismic Velocity","title":"Seismic velocity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"Seismic velocity can specified in a number of ways","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","text":"ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)\n\nSet a constant seismic P and S-wave velocity:\n\n    V_p = cst \n    V_s = cst\n\nwhere V_p V_s are the P-wave and S-wave velocities [kms].\n\n\n\n\n\n","category":"type"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.","category":"page"},{"location":"man/seismicvelocity/#Computational-routines","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To evaluate seismic velocity within a user routine, use this:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.compute_swave_velocity!\nGeoParams.compute_pwave_velocity!\nGeoParams.compute_pwave_velocity\nGeoParams.compute_swave_velocity","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity!","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity!","text":"compute_swave_velocity!(Vs_array::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, s::PhaseDiagram_LookupTable)\n\nIn-place computation of S-wave velocity as a function of T,P, in case we are using a lookup table.    \n\n\n\n\n\ncompute_swave_velocity!(Vs_array::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of S-wave velocity Vp for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n\n\n\n\ncompute_swave_velocity!(Vs_array::AbstractArray{<:AbstractFloat,N}, PhaseRatios::AbstractArray{<:AbstractFloat, M}, P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of seismic S-wave velocity Vs for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity!","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity!","text":"compute_pwave_velocity!(Vp_array::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, s::PhaseDiagram_LookupTable)\n\nIn-place computation of P-wave velocity as a function of T,P, in case we are using a lookup table.    \n\n\n\n\n\ncompute_pwave_velocity!(Vp_array::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of P-wave velocity Vp for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n\n\n\n\ncompute_pwave_velocity!(Vp_array::AbstractArray{<:AbstractFloat,N}, PhaseRatios::AbstractArray{<:AbstractFloat, M}, P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of seismic P-wave velocity Vp for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity","text":"compute_pwave_velocity(P,T, s::PhaseDiagram_LookupTable)\n\nInterpolates Vp as a function of T,P   \n\n\n\n\n\n","category":"function"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity","text":"compute_swave_velocity(P,T, s::PhaseDiagram_LookupTable)\n\nInterpolates Vs as a function of T,P   \n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#Plotting","page":"Plotting","title":"Plotting","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"We provide a number of plotting routines. Note that these plotting routines only become available once the Plots package is loaded.","category":"page"},{"location":"man/plotting/#Plot-CreepLaws","page":"Plotting","title":"Plot CreepLaws","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"GeoParams.PlotStressStrainrate_CreepLaw\nGeoParams.PlotHeatCapacity\nGeoParams.PlotConductivity\nGeoParams.PlotMeltFraction\nGeoParams.PlotPhaseDiagram","category":"page"},{"location":"man/plotting/#GeoParams.PlotStressStrainrate_CreepLaw","page":"Plotting","title":"GeoParams.PlotStressStrainrate_CreepLaw","text":"PlotStressStrainrate_CreepLaw(x::AbstractCreepLaw; p::CreepLawParams=nothing, Strainrate=(1e-18,1e-12), CreatePlot::Bool=false)\n\nPlots deviatoric stress versus deviatoric strain rate for a single creeplaw.      Note: if you want to create plots or use the CreatePlot=true option you need to install the Plots.jl package in julia     which is not added as a dependency here (as it is a rather large dependency).\n\nExample 1\n\njulia> x=LinearViscous()\nLinear viscosity: η=1.0e20 Pa s\njulia> Tau_II, Eps_II,  = PlotStressStrainrate_CreepLaw(x);\n\nNext you can plot this with\n\njulia> using Plots;\njulia> plot(ustrip(Eps_II),ustrip(Tau_II), xaxis=:log, yaxis=:log,xlabel=\"strain rate [1/s]\",ylabel=\"Dev. Stress [MPa]\")\n\nNote that ustrip removes the units of the arrays, as many of the plotting packages don't know how to deal with that.\n\nYou could also have done:\n\njulia> using Plots;\njulia> Tau_II, Eps_II, pl = PlotStressStrainrate_CreepLaw(x,CreatePlot=true);\n\nwhich will generate the following plot (Image: subet1)\n\nThe plot can be customized as \n\njulia> plot(pl, title=\"Linear viscosity\", linecolor=:red)\n\nSee the Plots.jl package for more options.\n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#GeoParams.PlotHeatCapacity","page":"Plotting","title":"GeoParams.PlotHeatCapacity","text":"T,Cp,plt = PlotHeatCapacity(cp::AbstractHeatCapacity; T=nothing, plt=nothing, lbl=nothing)\n\nCreates a plot of temperature T vs. heat capacity, as specified in cp (which can be temperature-dependent).\n\nOptional parameters\n\nT: temperature range\nplt: a previously generated plotting object\nlbl: label of the curve\n\nExample\n\njulia> cp = T_HeatCapacity_Whittacker()\njulia> T,Cp,plt = PlotHeatCapacity(cp)\n\nyou can now save the figure to disk with:\n\njulia> using Plots\njulia> savefig(plt,\"Tdependent_heatcapacity.png\")\n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#GeoParams.PlotConductivity","page":"Plotting","title":"GeoParams.PlotConductivity","text":"T,Kk,plt = PlotConductivity(cp::AbstractConductivity; T=nothing, plt=nothing, lbl=nothing)\n\nCreates a plot of temperature T vs. thermal conductivity, as specified in k (which can be temperature-dependent).\n\nOptional parameters\n\nT: temperature range\nplt: a previously generated plotting object\nlbl: label of the curve\n\nExample\n\njulia> k = T_Conductivity_Whittacker()\njulia> T,KK,plt = PlotConductivity(k)\n\nyou can now save the figure to disk with:\n\njulia> using Plots\njulia> savefig(plt,\"Tdependent_conductivity.png\")\n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#GeoParams.PlotMeltFraction","page":"Plotting","title":"GeoParams.PlotMeltFraction","text":"T,phi,plt = PlotMeltFraction(p::AbstractMeltingParam; T=nothing, plt=nothing, lbl=nothing)\n\nCreates a plot of temperature T vs. melt fraction, as specified in p.  The 1D curve can be evaluated at a specific pressure P which can be given as a scalar or as an array of the same size as T\n\nOptional parameters\n\nT: temperature range\nP: pressure \nplt: a previously generated plotting object\nlbl: label of the curve\n\nExample\n\njulia> p        =  MeltingParam_Caricchi()\njulia> T,phi,plt = PlotMeltFraction(p)\n\nyou can now save the figure to disk with:\n\njulia> using Plots\njulia> savefig(plt,\"MeltFraction.png\")\n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#GeoParams.PlotPhaseDiagram","page":"Plotting","title":"GeoParams.PlotPhaseDiagram","text":"plt, data, Tvec, Pvec = PlotPhaseDiagram(p::PhaseDiagram_LookupTable; fieldname::Symbol, Tvec=nothing, Pvec=nothing)\n\nPlots a phase diagram as a function of T (x-axis) and P (y-axis). We either use the default ranges of the diagram, or you can specify the temperature and pressure ranges (while specifying units). The return arguments are the plotting object plt (so you can modify properties) as well as the data that is being plotted\n\nExample\n\njulia> PD_data =  Read_LaMEM_Perple_X_Diagram(\"Peridotite.in\")\nPerple_X/LaMEM Phase Diagram Lookup Table: \n                      File    :   Peridotite.in\n                      T       :   293.0 - 1573.000039\n                      P       :   1.0e7 - 2.9999999944e9\n                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp\n                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs\n                                  :Vp, :Vs, :VpVs, :cpxFrac\njulia> PlotPhaseDiagram(PD_data,:meltFrac, Tvec=(100:1:1400).*C, Pvec=(.1:.1:30).*kbar )\n\nThis will generate the following plot (Image: subet2)\n\nYou can also use the default pressure/temperature ranges in the diagrams:\n\njulia> PlotPhaseDiagram(PD_data,:Rho)\n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#CreepLaws","page":"Creep laws","title":"CreepLaws","text":"","category":"section"},{"location":"man/creeplaws/#Implemented-creep-laws","page":"Creep laws","title":"Implemented creep laws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"The following viscous creep laws are implemented:","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"GeoParams.MaterialParameters.CreepLaw.LinearViscous\nGeoParams.MaterialParameters.CreepLaw.PowerlawViscous\nGeoParams.MaterialParameters.CreepLaw.DislocationCreep\nGeoParams.MaterialParameters.CreepLaw.SetDislocationCreep","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.CreepLaw.LinearViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.CreepLaw.LinearViscous","text":"LinearViscous(η=1e20Pa*s)\n\nDefines a linear viscous creeplaw \n\nThe (isotopic) linear viscous rheology is given by  \n\n    tau_ij = 2 eta dotvarepsilon_ij \n\nor\n\n    dotvarepsilon_ij  = tau_ij  over 2 eta \n\nwhere eta_0 is the reference viscosity [Pa*s] at reference strain rate dotvarepsilon_0[1/s], and n the power law exponent []. \n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.CreepLaw.PowerlawViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.CreepLaw.PowerlawViscous","text":"PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)\n\nDefines a power law viscous creeplaw as: \n\n    tau_ij^n  = 2 eta_0 left( dotvarepsilon_ij over dotvarepsilon_0 right)\n\nwhere eta is the effective viscosity [Pa*s].\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.CreepLaw.DislocationCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.CreepLaw.DislocationCreep","text":"DislocationCreep(n = 1.0NoUnits, r = 0.00.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = \"AxialCompression\" )\n\nDefines the flow law parameter of a dislocation creep law \n\nThe (isotropic) dislocation creep law, as used by experimtalists, is given by  \n\n     dotgamma = A sigma_mathrmd^n f_mathrmH2O^r exp(-fracE+PVRT)\n\nwhere n is the power law exponent,   r is the exponent of fugacity dependence,  A is a pre-exponential factor MPa^(n+r),   E is the activation energy [kJ/mol], V is the activation volume [m^3/mol]. dotgamma is the ordinary strain rate [1/s],  and sigma_mathrmd is the differential stress which are converted into second invariants using the apparatus type that can be either \"AxialCompression\", \"SimpleShear\" or \"Invariant\". If the flow law paramters are already given as a function of second invariants, choose apparatus = \"Invariant\"\n\njulia> x2      =   DislocationCreep(n=3)\nDislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.CreepLaw.SetDislocationCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.CreepLaw.SetDislocationCreep","text":"SetDislocationCreep[\"Name of Dislocation Creep\"]\n\nThis is a dictionary with pre-defined creep laws    \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#Computational-routines-for-creep-laws","page":"Creep laws","title":"Computational routines for creep laws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"Once a creep rheology is defined, we can use the following routines to perform computations within the solvers","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"CreepLawVariables\nGeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII\nGeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.CreepLaw.CreepLawVariables","page":"Creep laws","title":"GeoParams.MaterialParameters.CreepLaw.CreepLawVariables","text":"Struct that holds parameters required for creep law calculations (such as P,T, grain size etc.)\n\nYou can assign the struct as\n\n p = CreepLawVariables(P=0.0, T=0.0, d=1.0) \n\nwhere you can also pass vectors or arrays as values.\n\nNote that, if needed, this can be extended, w/out interfering with existing calculation  \n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII","page":"Creep laws","title":"GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII","text":"computeCreepLaw_EpsII(TauII, s:<AbstractCreepLaw, p::CreepLawVariables)\n\nReturns the strainrate invariant dotvarepsilon_II for a given deviatoric stress  invariant tau_II for any of the viscous creep laws implemented. p is a struct that can hold various parameters (such as P, T) that the creep law may need for the calculations \n\n    dotvarepsilon_II   = f( tau_II ) \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII","page":"Creep laws","title":"GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII","text":"computeCreepLaw_TauII(EpsII, s:<AbstractCreepLaw, p::CreepLawVariables)\n\nReturns the deviatoric stress invariant tau_II for a given strain rate   invariant dotvarepsilon_II for any of the viscous creep laws implemented. p is a struct that can hold various parameters (such as P, T) that the creep law may need for the calculations \n\n    tau_II  = f( dotvarepsilon_II ) \n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#Heat-capacity","page":"Heat Capacity","title":"Heat capacity","text":"","category":"section"},{"location":"man/heatcapacity/#Methods","page":"Heat Capacity","title":"Methods","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"Heat capacity is defined as ","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity\nGeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittacker","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","text":"ConstantHeatCapacity(cp=1050J/mol/kg)\n\nSet a constant heat capacity:\n\n    cp  = cst\n\nwhere cp is the thermal heat capacity [JkgK].\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittacker","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittacker","text":"T_HeatCapacity_Whittacker()\n\nSets a temperature-dependent heat capacity following the parameterization of Whittacker et al. (2009), Nature:\n\n    Cp = (a + b T - cT^2)m \n\nwhere Cp is the heat capacity [JkgK], and abc are parameters that dependent on the temperature T:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nmolmass =   0.22178kg/mol \n\nNote that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than JmolK as in eq.3/4 of the paper)\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#Computational-routines","page":"Heat Capacity","title":"Computational routines","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"To compute, use this:","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity\nGeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","text":"Cp = compute_heatcapacity(s:<AbstractHeatCapacity, P, T)\n\nReturns the heat capacity Cp at any temperature T and pressure P using any of the heat capacity laws implemented.\n\nCurrently available:\n\nConstantHeatCapacity\nT_HeatCapacity_Whittacker\n\nExample\n\nUsing dimensional units\n\njulia> T  = (250:100:1250)*K;\njulia> cp = T_HeatCapacity_Whittacker()\njulia> Cp = ComputeHeatCapacity(0,T,cp)\n11-element Vector{Unitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:\n  635.4269997294616 J kg⁻¹ K⁻¹\n  850.7470171764261 J kg⁻¹ K⁻¹\n  962.0959598489883 J kg⁻¹ K⁻¹\n 1037.5420433770641 J kg⁻¹ K⁻¹\n 1097.3517921966488 J kg⁻¹ K⁻¹\n 1149.2745563671706 J kg⁻¹ K⁻¹\n 1157.7915050948404 J kg⁻¹ K⁻¹\n 1172.3554874197264 J kg⁻¹ K⁻¹\n 1186.9194697445964 J kg⁻¹ K⁻¹\n  1201.483452069455 J kg⁻¹ K⁻¹\n 1216.0474343943067 J kg⁻¹ K⁻¹\n\n\n\n\n\nCp = ComputeHeatCapacity(T::Any, s::AbstractHeatCapacity)\n\nComputes heat capacity if only temperature (and not pressure) is specified\n\n\n\n\n\ncompute_heatcapacity!(Cp::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat})\n\nIn-place computation of heat capacity Cp for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n______________________________________________________________________________________________\n\ncomputeheatcapacity!(Cp::AbstractArray{T, N}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct, 1}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{T, N},T::AbstractArray{_T, N})\n\nIn-place computation of heat capacity Cp for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","text":"compute_heatcapacity!(cp_array::AbstractArray{_T, N},s::T_HeatCapacity_Whittacker{_T}, T::_T=zero(_T), P::_T=zero(_T)) where {_T,N}\n\nComputes T-dependent heat capacity in-place    \n\n\n\n\n\n","category":"function"},{"location":"man/melting/#Melting-Parameterizations","page":"Partial Melting","title":"Melting Parameterizations","text":"","category":"section"},{"location":"man/melting/#Methods","page":"Partial Melting","title":"Methods","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"A number of melting parameterisations are implemented, which can be set with:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.MeltingParam_Caricchi","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Caricchi","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Caricchi","text":"MeltingParam_Caricchi()\n\nImplements the T-dependent melting parameterisation used by Caricchi et al \n\n    theta = (8000 - (T + 27315))230 \n\n    phi_solid = 10 - 10 over (10 + e^theta) \n\nNote that T is in Kelvin.\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#Computational-routines","page":"Partial Melting","title":"Computational routines","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"To compute the melt fraction at given T and P, use:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.compute_meltfraction!\nGeoParams.MeltingParam.compute_meltfraction","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction!","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction!","text":"ComputeMeltingParam!(ϕ::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T:AbstractArray{<:AbstractFloat}, p::PhaseDiagram_LookupTable)\n\nIn-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the collum :meltFrac specified.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction","text":"ComputeMeltingParam(P,T, p::AbstractPhaseDiagramsStruct)\n\nComputes melt fraction in case we use a phase diagram lookup table. The table should have the collum :meltFrac specified.\n\n\n\n\n\nComputeMeltingParam!(ϕ::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"Also note that phase diagrams can be imported using PerpleX_LaMEM_Diagram.","category":"page"},{"location":"man/shearheating/#Shear-heating","page":"Shear heating","title":"Shear heating","text":"","category":"section"},{"location":"man/shearheating/#Methods","page":"Shear heating","title":"Methods","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"Heat caused by non-recoverable deformation can be specified in ","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","text":"ConstantShearheating(Χ=0.0NoUnits)\n\nSet the shear heating efficiency [0-1] parameter\n\nΧ  = cst\n\nwhere Chi is the shear heating efficiency [NoUnits]\n\nShear heating is computed as\n\nH_s = Chi cdot tau_ij(dotvarepsilon_ij - dotvarepsilon^el_ij)\n\n\n\n\n\n","category":"type"},{"location":"man/shearheating/#Computational-routines","page":"Shear heating","title":"Computational routines","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"To compute, use this:","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.compute_shearheating\nGeoParams.MaterialParameters.Shearheating.compute_shearheating!","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating","text":"H_s = compute_shearheating(s:<AbstractShearheating, τ, ε, ε_el)\n\nComputes the shear heating source term\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\n\n\n\n\nH_s = ComputeShearheating(s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij \n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating!","text":"compute_shearheating!(H_s, s:<AbstractShearheating,  τ, ε, ε_el)\n\nComputes the shear heating source term in-place\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\nNOTE: The shear heating terms require the full deviatoric stress & strain rate tensors, i.e.:\n\n2D tau_ij = left(   \n                beginmatrix\n                    tau_xx  tau_xz \n                    tau_zx  tau_zz \n                endmatrix \n            right)\n\nSince tau_zx=tau_xz, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used! \n\n\n\n\n\ncompute_shearheating!(H_s, s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term H_s in-place when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij \n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#Nondimensionalization","page":"Nondimensionalization","title":"Nondimensionalization","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between GEO, SI or NO units:","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"SI units assume all input and output is in SI units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).\nGEO units uses SI units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as Myrs,km or MPa\nNO units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that velocity is given in m/s).","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"A dimensional parameter can be transformed into a non-dimensional one with Nondimensionalize.","category":"page"},{"location":"man/nondimensionalize/#Specify-characteristic-values","page":"Nondimensionalization","title":"Specify characteristic values","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Characteristic values can be defined in 3 ways.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"GeoParams.Units\nAbstractGeoUnit\nGeoUnit\nGeoUnits\nGEO_units\nSI_units\nNO_units\n@unpack_val\n@unpack_units","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units","page":"Nondimensionalization","title":"GeoParams.Units","text":"This provides units and creates a non-dimensionalization object\n\n\n\n\n\n","category":"module"},{"location":"man/nondimensionalize/#GeoParams.Units.AbstractGeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.AbstractGeoUnit","text":"AbstractGeoUnit\n\nAbstract supertype for geo units.\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnit","text":"Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.\n\nHaving that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.\nWith the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnits","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnits","text":"GeoUnits\n\nStructure that holds parameters used for non-dimensionalization\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GEO_units","page":"Nondimensionalization","title":"GeoParams.Units.GEO_units","text":"GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)\n\nCreates a non-dimensionalization object using GEO units.\n\nGEO units implies that upon dimensionalization, time will be in Myrs, length in km, stress in MPa, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (km or m), provided the unit is specified.\n\nExamples:\n\njulia> CharUnits = GEO_units()\nEmploying GEO units \nCharacteristic values: \n         length:      1000 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\njulia> CharUnits.velocity\n1.0e-7 m s⁻¹\n\nIf we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic length:\n\njulia> CharUnits = GEO_units(length=10km)\nEmploying GEO units \nCharacteristic values: \n         length:      10 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.SI_units","page":"Nondimensionalization","title":"GeoParams.Units.SI_units","text":"CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)\n\nSpecify the characteristic values using SI units \n\nExamples:\n\njulia> CharUnits = SI_units(length=1000m)\nEmploying SI units \nCharacteristic values: \n         length:      1000 m\n         time:        1.0e19 s\n         stress:      10 Pa\n         temperature: 1000.0 K\n\nNote that the same can be achieved if the input is given in km:\n\njulia> CharUnits = SI_units(length=1km)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.NO_units","page":"Nondimensionalization","title":"GeoParams.Units.NO_units","text":"CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)\n\nSpecify the characteristic values in non-dimensional units\n\nExamples:\n\njulia> using GeoParams;\njulia> CharUnits = NO_units()\nEmploying NONE units \nCharacteristic values: \n         length:      1\n         time:        1.0 \n         stress:      1\n         temperature: 1.0\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_val","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_val","text":"This unpacks the numerical value of `GeoUnit` in a structure, without the units.\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_val ρ,α = r\njulia> α\n4.0e-5\njulia> typeof(α)\nFloat64\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_units","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_units","text":"This unpacks the numerical value with units of `GeoUnit` parameters in a structure\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_units ρ,α = r\njulia> α\n4.0e-5 K⁻¹·⁰\njulia> typeof(α)\nQuantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#(Non)-dimensionalize-parameters","page":"Nondimensionalization","title":"(Non)-dimensionalize parameters","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"nondimensionalize\ndimensionalize\nisDimensional","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units.nondimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.nondimensionalize","text":"nondimensionalize(param, CharUnits::GeoUnits{TYPE})\n\nNondimensionalizes param using the characteristic values specified in CharUnits\n\nExample 1\n\njulia> using GeoParams;\njulia> CharUnits =   GEO_units();\njulia> v         =   3cm/yr\n3 cm yr⁻¹ \njulia> v_ND      =   nondimensionalize(v, CharUnits) \n0.009506426344208684\n\nExample 2\n\nIn geodynamics one sometimes encounters more funky units\n\njulia> CharUnits =   GEO_units();\njulia> A         =   6.3e-2MPa^-3.05*s^-1\n0.063 MPa⁻³·⁰⁵ s⁻¹\njulia> A_ND      =   nondimensionalize(A, CharUnits) \n7.068716262102384e14\n\nIn case you are interested to see how the units of A look like in different units, use this function from the Unitful package:\n\njulia> uconvert(u\"Pa^-3.05*s^-1\",A) \n3.157479571851836e-20 Pa⁻³·⁰⁵\n\nand to see it decomposed in the basic SI units of length, mass and time:\n\njulia> upreferred(A)\n3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵\n\n\n\n\n\nMatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nNon-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\nnondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nnondimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.dimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.dimensionalize","text":"dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes param into the dimensions param_dim using the characteristic values specified in CharUnits.  \n\nExample\n\njulia> CharUnits =   GEO_units();\njulia> v_ND      =   nondimensionalize(3cm/yr, CharUnits) \n0.031688087814028945\njulia> v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) \n3.0 cm yr⁻¹\n\n\n\n\n\ndimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\nDimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nDimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.isDimensional","page":"Nondimensionalization","title":"GeoParams.Units.isDimensional","text":"isDimensional(MatParam::AbstractMaterialParam)\n\ntrue if MatParam is in dimensional units.    \n\n\n\n\n\n","category":"function"},{"location":"man/density/#Density","page":"Density","title":"Density","text":"","category":"section"},{"location":"man/density/#Methods","page":"Density","title":"Methods","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"The density equation of state can be specified in a number of ways","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.ConstantDensity\nGeoParams.MaterialParameters.Density.PT_Density\nGeoParams.MaterialParameters.Density.Compressible_Density","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.ConstantDensity","page":"Density","title":"GeoParams.MaterialParameters.Density.ConstantDensity","text":"ConstantDensity(ρ=2900kg/m^3)\n\nSet a constant density:\n\n    rho  = cst\n\nwhere rho is the density [kgm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.PT_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.PT_Density","text":"PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)\n\nSet a pressure and temperature-dependent density:\n\n    rho  = rho_0 (10 - alpha (T-T_0) + beta  (P-P_0) )  \n\nwhere rho_0 is the density [kgm^3] at reference temperature T_0 and pressure P_0, alpha is the temperature dependence of density and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.Compressible_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.Compressible_Density","text":"Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)\n\nSet a pressure-dependent density:\n\n    rho  = rho_0 exp(β*(P - P_0))  \n\nwhere rho_0 is the density [kgm^3] at reference pressure P_0 and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#Computational-routines","page":"Density","title":"Computational routines","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"To evaluate density within a user routine, use this:","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.compute_density\nGeoParams.MaterialParameters.Density.compute_density!","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density","text":"compute_density(P,T, s::PhaseDiagram_LookupTable)\n\nInterpolates density as a function of T,P from a lookup table  \n\n\n\n\n\n","category":"function"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density!","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density!","text":"compute_density!(rho::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, s::PhaseDiagram_LookupTable)\n\nIn-place computation of density as a function of T,P, in case we are using a lookup table.    \n\n\n\n\n\ncompute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I<:Integer}\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\nExample\n\njulia> MatParam = (SetMaterialParams(Name=\"Mantle\", Phase=1,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                        Density   = PT_Density()\n                        ),\n                    SetMaterialParams(Name=\"Crust\", Phase=2,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),\n                        Density   = ConstantDensity(ρ=2900kg/m^3))\n                  );\njulia> Phases = ones(Int64,400,400);\njulia> Phases[:,20:end] .= 2\njulia> rho     = zeros(size(Phases))\njulia> T       =  ones(size(Phases))\njulia> P       =  ones(size(Phases))*10\njulia> compute_density!(rho, MatParam, Phases, P, T)\njulia> rho\n400×400 Matrix{Float64}:\n2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮                            \n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n\nThe routine is made to minimize allocations:\n\njulia> using BenchmarkTools\njulia> @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)\n    203.468 μs (0 allocations: 0 bytes)\n\n_____________________________________________________________________________________________________________________________   \n\ncompute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/density/","page":"Density","title":"Density","text":"Note that density values are usually not used in itself in the governing PDE's, but usually in combination with other parameters, such as rho g or rho c_p. the non-dimensional value of rho may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.","category":"page"},{"location":"man/gravity/#Gravitational-acceleration","page":"Gravity","title":"Gravitational acceleration","text":"","category":"section"},{"location":"man/gravity/#Methods","page":"Gravity","title":"Methods","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"Gravitational acceleration is defined as ","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","text":"GravityConstant(g=9.81m/s^2)\n\nSet a constant value for the gravitational acceleration:\n\n    g  = 981 m s^-2\n\n\n\n\n\n","category":"type"},{"location":"man/gravity/#Computational-routines","page":"Gravity","title":"Computational routines","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"To compute, use this:","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","text":"compute_gravity(s:<AbstractGravity)\n\nReturns the gravitational acceleration \n\n\n\n\n\n","category":"function"},{"location":"#GeoParams.jl","page":"Home","title":"GeoParams.jl","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:","category":"page"},{"location":"","page":"Home","title":"Home","text":"Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).\nMaterial parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. ","category":"page"},{"location":"","page":"Home","title":"Home","text":"We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).","category":"page"},{"location":"man/conductivity/#Conductivity","page":"Conductivity","title":"Conductivity","text":"","category":"section"},{"location":"man/conductivity/#Methods","page":"Conductivity","title":"Methods","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"Thermal conductivity is defined as ","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity\nGeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittacker\nGeoParams.MaterialParameters.Conductivity.TP_Conductivity\nGeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity","text":"ConstantConductivity(k=3.0W/m/K)\n\nSet a constant conductivity\n\n    k  = cst\n\nwhere k is the thermal conductivity [WmK].\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittacker","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittacker","text":"T_Conductivity_Whittacker()\n\nSets a temperature-dependent conductivity following the parameterization of Whittacker et al. (2009), Nature.  Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us \n\n    Cp = a + b T - cT^2 \n\n    kappa = dT - e if T=846K\n\n    kappa = f - g*T if T846K\n\n    rho = 2700 kgm3\n\n    k = kappa Cp rho\n\nwhere Cp is the heat capacity [JmolK], and abc are parameters that dependent on the temperature T:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nd = 576.3m^2/s*K      \ne = 0.062m^2/s        \nf = 0.732m^2/s        \ng = 0.000135m^2/s/K \n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.TP_Conductivity","text":"TP_Conductivity()\n\nSets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for  \n\n    k = left( a_k +  b_k over T + c_k right) (1 + d_k P) \n\nwhere k is the conductivity [WKm], and a_kb_kc_kd_k are parameters that dependent on the temperature T and pressure P:\n\na_k = 1.18Watt/K/m    \nb_k = 474Watt/m \nc_k = 77K       \nd_k = 0/MPa       \n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","text":"Set_TP_Conductivity[\"Name of temperature(-pressure) dependent conductivity\"]\n\nThis is a dictionary with pre-defined laws:\n\n\"UpperCrust\"    \n\"LowerCrust\"\n\"OceanicCrust\"\n\"Mantle\"\n\nExample\n\njulia> k=Set_TP_Conductivity[\"Mantle\"]\nT/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)  \n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#Computational-routines","page":"Conductivity","title":"Computational routines","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"To compute, use this:","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.compute_conductivity\nGeoParams.MaterialParameters.Conductivity.compute_conductivity!","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity","text":"k = compute_conductivity(P, T, s:<AbstractConductivity)\n\nReturns the thermal conductivity k at any temperature T and pressure P using any of the parameterizations implemented.\n\nCurrently available:\n\nConstantConductivity\nT_Conductivity_Whittacker\nTP_Conductivity\n\nExample\n\nUsing dimensional units\n\njulia> T  = (250:100:1250)*K;\njulia> cp = T_HeatCapacity_Whittacker()\njulia> Cp = ComputeHeatCapacity(0,T,cp)\n\n\n\n\n\nk = compute_conductivity(T::Any, s::AbstractConductivity)\n\nComputes conductivity if only temperature (and not pressure) is specified\n\n\n\n\n\ncompute_conductivity!(K::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},Temp::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of conductivity K for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and Temp arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n_________________________________________________________________________________________________________\n\ncompute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity!","text":"compute_conductivity(k_array::AbstractArray{<:AbstractFloat,N},P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, s::ConstantConductivity) where N\n\nIn-place routine to compute constant conductivity    \n\n\n\n\n\ncompute_conductivity!(k_array::AbstractArray{<:AbstractFloat,N},P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, s::T_Conductivity_Whittacker) where N\n\nIn-place routine to compute temperature-dependent conductivity    \n\n\n\n\n\n","category":"function"}]
+}
diff --git a/v0.2.1/siteinfo.js b/v0.2.1/siteinfo.js
new file mode 100644
index 000000000..c32ac74c4
--- /dev/null
+++ b/v0.2.1/siteinfo.js
@@ -0,0 +1 @@
+var DOCUMENTER_CURRENT_VERSION = "v0.2.1";
diff --git a/v0.3 b/v0.3
new file mode 120000
index 000000000..4f125aef4
--- /dev/null
+++ b/v0.3
@@ -0,0 +1 @@
+v0.3.18
\ No newline at end of file
diff --git a/v0.3.17/assets/documenter.js b/v0.3.17/assets/documenter.js
new file mode 100644
index 000000000..6adfbbbf4
--- /dev/null
+++ b/v0.3.17/assets/documenter.js
@@ -0,0 +1,331 @@
+// Generated by Documenter.jl
+requirejs.config({
+  paths: {
+    'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia.min',
+    'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min',
+    'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.12.1/jquery-ui.min',
+    'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/contrib/auto-render.min',
+    'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min',
+    'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min',
+    'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min',
+    'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/highlight.min',
+    'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia-repl.min',
+  },
+  shim: {
+  "highlight-julia": {
+    "deps": [
+      "highlight"
+    ]
+  },
+  "katex-auto-render": {
+    "deps": [
+      "katex"
+    ]
+  },
+  "headroom-jquery": {
+    "deps": [
+      "jquery",
+      "headroom"
+    ]
+  },
+  "highlight-julia-repl": {
+    "deps": [
+      "highlight"
+    ]
+  }
+}
+});
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) {
+$(document).ready(function() {
+  renderMathInElement(
+    document.body,
+    {
+  "delimiters": [
+    {
+      "left": "$",
+      "right": "$",
+      "display": false
+    },
+    {
+      "left": "$$",
+      "right": "$$",
+      "display": true
+    },
+    {
+      "left": "\\[",
+      "right": "\\]",
+      "display": true
+    }
+  ]
+}
+
+  );
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) {
+$(document).ready(function() {
+    hljs.highlightAll();
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require([], function() {
+function addCopyButtonCallbacks() {
+  for (const el of document.getElementsByTagName("pre")) {
+    const button = document.createElement("button");
+    button.classList.add("copy-button", "fas", "fa-copy");
+    el.appendChild(button);
+
+    const success = function () {
+      button.classList.add("success", "fa-check");
+      button.classList.remove("fa-copy");
+    };
+
+    const failure = function () {
+      button.classList.add("error", "fa-times");
+      button.classList.remove("fa-copy");
+    };
+
+    button.addEventListener("click", function () {
+      copyToClipboard(el.innerText).then(success, failure);
+
+      setTimeout(function () {
+        button.classList.add("fa-copy");
+        button.classList.remove("success", "fa-check", "fa-times");
+      }, 5000);
+    });
+  }
+}
+
+function copyToClipboard(text) {
+  // clipboard API is only available in secure contexts
+  if (window.navigator && window.navigator.clipboard) {
+    return window.navigator.clipboard.writeText(text);
+  } else {
+    return new Promise(function (resolve, reject) {
+      try {
+        const el = document.createElement("textarea");
+        el.textContent = text;
+        el.style.position = "fixed";
+        el.style.opacity = 0;
+        document.body.appendChild(el);
+        el.select();
+        document.execCommand("copy");
+
+        resolve();
+      } catch (err) {
+        reject(err);
+      } finally {
+        document.body.removeChild(el);
+      }
+    });
+  }
+}
+
+if (document.readyState === "loading") {
+  document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks);
+} else {
+  addCopyButtonCallbacks();
+}
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) {
+
+// Manages the top navigation bar (hides it when the user starts scrolling down on the
+// mobile).
+window.Headroom = Headroom; // work around buggy module loading?
+$(document).ready(function() {
+  $('#documenter .docs-navbar').headroom({
+    "tolerance": {"up": 10, "down": 10},
+  });
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// Modal settings dialog
+$(document).ready(function() {
+  var settings = $('#documenter-settings');
+  $('#documenter-settings-button').click(function(){
+    settings.toggleClass('is-active');
+  });
+  // Close the dialog if X is clicked
+  $('#documenter-settings button.delete').click(function(){
+    settings.removeClass('is-active');
+  });
+  // Close dialog if ESC is pressed
+  $(document).keyup(function(e) {
+    if (e.keyCode == 27) settings.removeClass('is-active');
+  });
+});
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// Manages the showing and hiding of the sidebar.
+$(document).ready(function() {
+  var sidebar = $("#documenter > .docs-sidebar");
+  var sidebar_button = $("#documenter-sidebar-button")
+  sidebar_button.click(function(ev) {
+    ev.preventDefault();
+    sidebar.toggleClass('visible');
+    if (sidebar.hasClass('visible')) {
+      // Makes sure that the current menu item is visible in the sidebar.
+      $("#documenter .docs-menu a.is-active").focus();
+    }
+  });
+  $("#documenter > .docs-main").bind('click', function(ev) {
+    if ($(ev.target).is(sidebar_button)) {
+      return;
+    }
+    if (sidebar.hasClass('visible')) {
+      sidebar.removeClass('visible');
+    }
+  });
+})
+
+// Resizes the package name / sitename in the sidebar if it is too wide.
+// Inspired by: https://github.com/davatron5000/FitText.js
+$(document).ready(function() {
+  e = $("#documenter .docs-autofit");
+  function resize() {
+    var L = parseInt(e.css('max-width'), 10);
+    var L0 = e.width();
+    if(L0 > L) {
+      var h0 = parseInt(e.css('font-size'), 10);
+      e.css('font-size', L * h0 / L0);
+      // TODO: make sure it survives resizes?
+    }
+  }
+  // call once and then register events
+  resize();
+  $(window).resize(resize);
+  $(window).on('orientationchange', resize);
+});
+
+// Scroll the navigation bar to the currently selected menu item
+$(document).ready(function() {
+  var sidebar = $("#documenter .docs-menu").get(0);
+  var active = $("#documenter .docs-menu .is-active").get(0);
+  if(typeof active !== 'undefined') {
+    sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15;
+  }
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+function set_theme(theme) {
+  var active = null;
+  var disabled = [];
+  for (var i = 0; i < document.styleSheets.length; i++) {
+    var ss = document.styleSheets[i];
+    var themename = ss.ownerNode.getAttribute("data-theme-name");
+    if(themename === null) continue; // ignore non-theme stylesheets
+    // Find the active theme
+    if(themename === theme) active = ss;
+    else disabled.push(ss);
+  }
+  if(active !== null) {
+    active.disabled = false;
+    if(active.ownerNode.getAttribute("data-theme-primary") === null) {
+      document.getElementsByTagName('html')[0].className = "theme--" + theme;
+    } else {
+      document.getElementsByTagName('html')[0].className = "";
+    }
+    disabled.forEach(function(ss){
+      ss.disabled = true;
+    });
+  }
+
+  // Store the theme in localStorage
+  if(typeof(window.localStorage) !== "undefined") {
+    window.localStorage.setItem("documenter-theme", theme);
+  } else {
+    console.error("Browser does not support window.localStorage");
+  }
+}
+
+// Theme picker setup
+$(document).ready(function() {
+  // onchange callback
+  $('#documenter-themepicker').change(function themepick_callback(ev){
+    var themename = $('#documenter-themepicker option:selected').attr('value');
+    set_theme(themename);
+  });
+
+  // Make sure that the themepicker displays the correct theme when the theme is retrieved
+  // from localStorage
+  if(typeof(window.localStorage) !== "undefined") {
+    var theme =  window.localStorage.getItem("documenter-theme");
+    if(theme !== null) {
+      $('#documenter-themepicker option').each(function(i,e) {
+        e.selected = (e.value === theme);
+      })
+    } else {
+      $('#documenter-themepicker option').each(function(i,e) {
+        e.selected = $("html").hasClass(`theme--${e.value}`);
+      })
+    }
+  }
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// update the version selector with info from the siteinfo.js and ../versions.js files
+$(document).ready(function() {
+  // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the
+  // siteinfo.js file, we just return immediately and not display the version selector.
+  if (typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === 'boolean' && DOCUMENTER_VERSION_SELECTOR_DISABLED) {
+    return;
+  }
+
+  var version_selector = $("#documenter .docs-version-selector");
+  var version_selector_select = $("#documenter .docs-version-selector select");
+
+  version_selector_select.change(function(x) {
+    target_href = version_selector_select.children("option:selected").get(0).value;
+    window.location.href = target_href;
+  });
+
+  // add the current version to the selector based on siteinfo.js, but only if the selector is empty
+  if (typeof DOCUMENTER_CURRENT_VERSION !== 'undefined' && $('#version-selector > option').length == 0) {
+    var option = $("<option value='#' selected='selected'>" + DOCUMENTER_CURRENT_VERSION + "</option>");
+    version_selector_select.append(option);
+  }
+
+  if (typeof DOC_VERSIONS !== 'undefined') {
+    var existing_versions = version_selector_select.children("option");
+    var existing_versions_texts = existing_versions.map(function(i,x){return x.text});
+    DOC_VERSIONS.forEach(function(each) {
+      var version_url = documenterBaseURL + "/../" + each;
+      var existing_id = $.inArray(each, existing_versions_texts);
+      // if not already in the version selector, add it as a new option,
+      // otherwise update the old option with the URL and enable it
+      if (existing_id == -1) {
+        var option = $("<option value='" + version_url + "'>" + each + "</option>");
+        version_selector_select.append(option);
+      } else {
+        var option = existing_versions[existing_id];
+        option.value = version_url;
+        option.disabled = false;
+      }
+    });
+  }
+
+  // only show the version selector if the selector has been populated
+  if (version_selector_select.children("option").length > 0) {
+    version_selector.toggleClass("visible");
+  }
+})
+
+})
diff --git a/v0.3.17/assets/search.js b/v0.3.17/assets/search.js
new file mode 100644
index 000000000..c133f7410
--- /dev/null
+++ b/v0.3.17/assets/search.js
@@ -0,0 +1,267 @@
+// Generated by Documenter.jl
+requirejs.config({
+  paths: {
+    'lunr': 'https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min',
+    'lodash': 'https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.21/lodash.min',
+    'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min',
+  }
+});
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'lunr', 'lodash'], function($, lunr, _) {
+
+$(document).ready(function() {
+  // parseUri 1.2.2
+  // (c) Steven Levithan <stevenlevithan.com>
+  // MIT License
+  function parseUri (str) {
+    var  o   = parseUri.options,
+      m   = o.parser[o.strictMode ? "strict" : "loose"].exec(str),
+      uri = {},
+      i   = 14;
+
+    while (i--) uri[o.key[i]] = m[i] || "";
+
+    uri[o.q.name] = {};
+    uri[o.key[12]].replace(o.q.parser, function ($0, $1, $2) {
+      if ($1) uri[o.q.name][$1] = $2;
+    });
+
+    return uri;
+  };
+  parseUri.options = {
+    strictMode: false,
+    key: ["source","protocol","authority","userInfo","user","password","host","port","relative","path","directory","file","query","anchor"],
+    q:   {
+      name:   "queryKey",
+      parser: /(?:^|&)([^&=]*)=?([^&]*)/g
+    },
+    parser: {
+      strict: /^(?:([^:\/?#]+):)?(?:\/\/((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?))?((((?:[^?#\/]*\/)*)([^?#]*))(?:\?([^#]*))?(?:#(.*))?)/,
+      loose:  /^(?:(?![^:@]+:[^:@\/]*@)([^:\/?#.]+):)?(?:\/\/)?((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?)(((\/(?:[^?#](?![^?#\/]*\.[^?#\/.]+(?:[?#]|$)))*\/?)?([^?#\/]*))(?:\?([^#]*))?(?:#(.*))?)/
+    }
+  };
+
+  $("#search-form").submit(function(e) {
+    e.preventDefault()
+  })
+
+  // list below is the lunr 2.1.3 list minus the intersect with names(Base)
+  // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with)
+  // ideally we'd just filter the original list but it's not available as a variable
+  lunr.stopWordFilter = lunr.generateStopWordFilter([
+    'a',
+    'able',
+    'about',
+    'across',
+    'after',
+    'almost',
+    'also',
+    'am',
+    'among',
+    'an',
+    'and',
+    'are',
+    'as',
+    'at',
+    'be',
+    'because',
+    'been',
+    'but',
+    'by',
+    'can',
+    'cannot',
+    'could',
+    'dear',
+    'did',
+    'does',
+    'either',
+    'ever',
+    'every',
+    'from',
+    'got',
+    'had',
+    'has',
+    'have',
+    'he',
+    'her',
+    'hers',
+    'him',
+    'his',
+    'how',
+    'however',
+    'i',
+    'if',
+    'into',
+    'it',
+    'its',
+    'just',
+    'least',
+    'like',
+    'likely',
+    'may',
+    'me',
+    'might',
+    'most',
+    'must',
+    'my',
+    'neither',
+    'no',
+    'nor',
+    'not',
+    'of',
+    'off',
+    'often',
+    'on',
+    'or',
+    'other',
+    'our',
+    'own',
+    'rather',
+    'said',
+    'say',
+    'says',
+    'she',
+    'should',
+    'since',
+    'so',
+    'some',
+    'than',
+    'that',
+    'the',
+    'their',
+    'them',
+    'then',
+    'there',
+    'these',
+    'they',
+    'this',
+    'tis',
+    'to',
+    'too',
+    'twas',
+    'us',
+    'wants',
+    'was',
+    'we',
+    'were',
+    'what',
+    'when',
+    'who',
+    'whom',
+    'why',
+    'will',
+    'would',
+    'yet',
+    'you',
+    'your'
+  ])
+
+  // add . as a separator, because otherwise "title": "Documenter.Anchors.add!"
+  // would not find anything if searching for "add!", only for the entire qualification
+  lunr.tokenizer.separator = /[\s\-\.]+/
+
+  // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names
+  lunr.trimmer = function (token) {
+    return token.update(function (s) {
+      return s.replace(/^[^a-zA-Z0-9@!]+/, '').replace(/[^a-zA-Z0-9@!]+$/, '')
+    })
+  }
+
+  lunr.Pipeline.registerFunction(lunr.stopWordFilter, 'juliaStopWordFilter')
+  lunr.Pipeline.registerFunction(lunr.trimmer, 'juliaTrimmer')
+
+  var index = lunr(function () {
+    this.ref('location')
+    this.field('title',{boost: 100})
+    this.field('text')
+    documenterSearchIndex['docs'].forEach(function(e) {
+        this.add(e)
+    }, this)
+  })
+  var store = {}
+
+  documenterSearchIndex['docs'].forEach(function(e) {
+      store[e.location] = {title: e.title, category: e.category, page: e.page}
+  })
+
+  $(function(){
+    searchresults = $('#documenter-search-results');
+    searchinfo = $('#documenter-search-info');
+    searchbox = $('#documenter-search-query');
+    searchform = $('.docs-search');
+    sidebar = $('.docs-sidebar');
+    function update_search(querystring) {
+      tokens = lunr.tokenizer(querystring)
+      results = index.query(function (q) {
+        tokens.forEach(function (t) {
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 100,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 10,
+            usePipeline: true,
+            editDistance: 2,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["text"],
+            boost: 1,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+        })
+      })
+      searchinfo.text("Number of results: " + results.length)
+      searchresults.empty()
+      results.forEach(function(result) {
+        data = store[result.ref]
+        link = $('<a class="docs-label">'+data.title+'</a>')
+        link.attr('href', documenterBaseURL+'/'+result.ref)
+        if (data.category != "page"){
+          cat = $('<span class="docs-category">('+data.category+', '+data.page+')</span>')
+        } else {
+          cat = $('<span class="docs-category">('+data.category+')</span>')
+        }
+        li = $('<li>').append(link).append(" ").append(cat)
+        searchresults.append(li)
+      })
+    }
+
+    function update_search_box() {
+      querystring = searchbox.val()
+      update_search(querystring)
+    }
+
+    searchbox.keyup(_.debounce(update_search_box, 250))
+    searchbox.change(update_search_box)
+
+    // Disable enter-key form submission for the searchbox on the search page
+    // and just re-run search rather than refresh the whole page.
+    searchform.keypress(
+      function(event){
+        if (event.which == '13') {
+          if (sidebar.hasClass('visible')) {
+            sidebar.removeClass('visible');
+          }
+          update_search_box();
+          event.preventDefault();
+        }
+      }
+    );
+
+    search_query_uri = parseUri(window.location).queryKey["q"]
+    if(search_query_uri !== undefined) {
+      search_query = decodeURIComponent(search_query_uri.replace(/\+/g, '%20'))
+      searchbox.val(search_query)
+    }
+    update_search_box();
+  })
+})
+
+})
diff --git a/v0.3.17/assets/themes/documenter-dark.css b/v0.3.17/assets/themes/documenter-dark.css
new file mode 100644
index 000000000..0bf1af7d5
--- /dev/null
+++ b/v0.3.17/assets/themes/documenter-dark.css
@@ -0,0 +1,7702 @@
+@charset "UTF-8";
+/* Font Awesome 5 mixin. Can be included in any rule that should render Font Awesome icons. */
+@keyframes spinAround {
+  from {
+    transform: rotate(0deg); }
+  to {
+    transform: rotate(359deg); } }
+
+html.theme--documenter-dark .tabs, html.theme--documenter-dark .pagination-previous,
+html.theme--documenter-dark .pagination-next,
+html.theme--documenter-dark .pagination-link,
+html.theme--documenter-dark .pagination-ellipsis, html.theme--documenter-dark .breadcrumb, html.theme--documenter-dark .file, html.theme--documenter-dark .button, .is-unselectable, html.theme--documenter-dark .modal-close, html.theme--documenter-dark .delete {
+  -webkit-touch-callout: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  user-select: none; }
+
+html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after, html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after {
+  border: 3px solid transparent;
+  border-radius: 2px;
+  border-right: 0;
+  border-top: 0;
+  content: " ";
+  display: block;
+  height: 0.625em;
+  margin-top: -0.4375em;
+  pointer-events: none;
+  position: absolute;
+  top: 50%;
+  transform: rotate(-45deg);
+  transform-origin: center;
+  width: 0.625em; }
+
+html.theme--documenter-dark .admonition:not(:last-child), html.theme--documenter-dark .tabs:not(:last-child), html.theme--documenter-dark .message:not(:last-child), html.theme--documenter-dark .list:not(:last-child), html.theme--documenter-dark .level:not(:last-child), html.theme--documenter-dark .breadcrumb:not(:last-child), html.theme--documenter-dark .highlight:not(:last-child), html.theme--documenter-dark .block:not(:last-child), html.theme--documenter-dark .title:not(:last-child),
+html.theme--documenter-dark .subtitle:not(:last-child), html.theme--documenter-dark .table-container:not(:last-child), html.theme--documenter-dark .table:not(:last-child), html.theme--documenter-dark .progress:not(:last-child), html.theme--documenter-dark .notification:not(:last-child), html.theme--documenter-dark .content:not(:last-child), html.theme--documenter-dark .box:not(:last-child) {
+  margin-bottom: 1.5rem; }
+
+html.theme--documenter-dark .modal-close, html.theme--documenter-dark .delete {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  background-color: rgba(10, 10, 10, 0.2);
+  border: none;
+  border-radius: 290486px;
+  cursor: pointer;
+  pointer-events: auto;
+  display: inline-block;
+  flex-grow: 0;
+  flex-shrink: 0;
+  font-size: 0;
+  height: 20px;
+  max-height: 20px;
+  max-width: 20px;
+  min-height: 20px;
+  min-width: 20px;
+  outline: none;
+  position: relative;
+  vertical-align: top;
+  width: 20px; }
+  html.theme--documenter-dark .modal-close::before, html.theme--documenter-dark .delete::before, html.theme--documenter-dark .modal-close::after, html.theme--documenter-dark .delete::after {
+    background-color: white;
+    content: "";
+    display: block;
+    left: 50%;
+    position: absolute;
+    top: 50%;
+    transform: translateX(-50%) translateY(-50%) rotate(45deg);
+    transform-origin: center center; }
+  html.theme--documenter-dark .modal-close::before, html.theme--documenter-dark .delete::before {
+    height: 2px;
+    width: 50%; }
+  html.theme--documenter-dark .modal-close::after, html.theme--documenter-dark .delete::after {
+    height: 50%;
+    width: 2px; }
+  html.theme--documenter-dark .modal-close:hover, html.theme--documenter-dark .delete:hover, html.theme--documenter-dark .modal-close:focus, html.theme--documenter-dark .delete:focus {
+    background-color: rgba(10, 10, 10, 0.3); }
+  html.theme--documenter-dark .modal-close:active, html.theme--documenter-dark .delete:active {
+    background-color: rgba(10, 10, 10, 0.4); }
+  html.theme--documenter-dark .is-small.modal-close, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.modal-close, html.theme--documenter-dark .is-small.delete, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.delete {
+    height: 16px;
+    max-height: 16px;
+    max-width: 16px;
+    min-height: 16px;
+    min-width: 16px;
+    width: 16px; }
+  html.theme--documenter-dark .is-medium.modal-close, html.theme--documenter-dark .is-medium.delete {
+    height: 24px;
+    max-height: 24px;
+    max-width: 24px;
+    min-height: 24px;
+    min-width: 24px;
+    width: 24px; }
+  html.theme--documenter-dark .is-large.modal-close, html.theme--documenter-dark .is-large.delete {
+    height: 32px;
+    max-height: 32px;
+    max-width: 32px;
+    min-height: 32px;
+    min-width: 32px;
+    width: 32px; }
+
+html.theme--documenter-dark .control.is-loading::after, html.theme--documenter-dark .select.is-loading::after, html.theme--documenter-dark .loader, html.theme--documenter-dark .button.is-loading::after {
+  animation: spinAround 500ms infinite linear;
+  border: 2px solid #dbdee0;
+  border-radius: 290486px;
+  border-right-color: transparent;
+  border-top-color: transparent;
+  content: "";
+  display: block;
+  height: 1em;
+  position: relative;
+  width: 1em; }
+
+html.theme--documenter-dark .hero-video, html.theme--documenter-dark .modal-background, html.theme--documenter-dark .modal, html.theme--documenter-dark .image.is-square img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square img,
+html.theme--documenter-dark .image.is-square .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, html.theme--documenter-dark .image.is-1by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+html.theme--documenter-dark .image.is-1by1 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, html.theme--documenter-dark .image.is-5by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+html.theme--documenter-dark .image.is-5by4 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, html.theme--documenter-dark .image.is-4by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+html.theme--documenter-dark .image.is-4by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, html.theme--documenter-dark .image.is-3by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+html.theme--documenter-dark .image.is-3by2 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, html.theme--documenter-dark .image.is-5by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+html.theme--documenter-dark .image.is-5by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, html.theme--documenter-dark .image.is-16by9 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+html.theme--documenter-dark .image.is-16by9 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, html.theme--documenter-dark .image.is-2by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+html.theme--documenter-dark .image.is-2by1 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, html.theme--documenter-dark .image.is-3by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+html.theme--documenter-dark .image.is-3by1 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, html.theme--documenter-dark .image.is-4by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+html.theme--documenter-dark .image.is-4by5 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, html.theme--documenter-dark .image.is-3by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+html.theme--documenter-dark .image.is-3by4 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, html.theme--documenter-dark .image.is-2by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+html.theme--documenter-dark .image.is-2by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, html.theme--documenter-dark .image.is-3by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+html.theme--documenter-dark .image.is-3by5 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, html.theme--documenter-dark .image.is-9by16 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+html.theme--documenter-dark .image.is-9by16 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, html.theme--documenter-dark .image.is-1by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+html.theme--documenter-dark .image.is-1by2 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, html.theme--documenter-dark .image.is-1by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+html.theme--documenter-dark .image.is-1by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio, .is-overlay {
+  bottom: 0;
+  left: 0;
+  position: absolute;
+  right: 0;
+  top: 0; }
+
+html.theme--documenter-dark .pagination-previous,
+html.theme--documenter-dark .pagination-next,
+html.theme--documenter-dark .pagination-link,
+html.theme--documenter-dark .pagination-ellipsis, html.theme--documenter-dark .file-cta,
+html.theme--documenter-dark .file-name, html.theme--documenter-dark .select select, html.theme--documenter-dark .textarea, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark .button {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  align-items: center;
+  border: 1px solid transparent;
+  border-radius: 0.4em;
+  box-shadow: none;
+  display: inline-flex;
+  font-size: 15px;
+  height: 2.25em;
+  justify-content: flex-start;
+  line-height: 1.5;
+  padding-bottom: calc(0.375em - 1px);
+  padding-left: calc(0.625em - 1px);
+  padding-right: calc(0.625em - 1px);
+  padding-top: calc(0.375em - 1px);
+  position: relative;
+  vertical-align: top; }
+  html.theme--documenter-dark .pagination-previous:focus,
+  html.theme--documenter-dark .pagination-next:focus,
+  html.theme--documenter-dark .pagination-link:focus,
+  html.theme--documenter-dark .pagination-ellipsis:focus, html.theme--documenter-dark .file-cta:focus,
+  html.theme--documenter-dark .file-name:focus, html.theme--documenter-dark .select select:focus, html.theme--documenter-dark .textarea:focus, html.theme--documenter-dark .input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:focus, html.theme--documenter-dark .button:focus, html.theme--documenter-dark .is-focused.pagination-previous,
+  html.theme--documenter-dark .is-focused.pagination-next,
+  html.theme--documenter-dark .is-focused.pagination-link,
+  html.theme--documenter-dark .is-focused.pagination-ellipsis, html.theme--documenter-dark .is-focused.file-cta,
+  html.theme--documenter-dark .is-focused.file-name, html.theme--documenter-dark .select select.is-focused, html.theme--documenter-dark .is-focused.textarea, html.theme--documenter-dark .is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-focused.button, html.theme--documenter-dark .pagination-previous:active,
+  html.theme--documenter-dark .pagination-next:active,
+  html.theme--documenter-dark .pagination-link:active,
+  html.theme--documenter-dark .pagination-ellipsis:active, html.theme--documenter-dark .file-cta:active,
+  html.theme--documenter-dark .file-name:active, html.theme--documenter-dark .select select:active, html.theme--documenter-dark .textarea:active, html.theme--documenter-dark .input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:active, html.theme--documenter-dark .button:active, html.theme--documenter-dark .is-active.pagination-previous,
+  html.theme--documenter-dark .is-active.pagination-next,
+  html.theme--documenter-dark .is-active.pagination-link,
+  html.theme--documenter-dark .is-active.pagination-ellipsis, html.theme--documenter-dark .is-active.file-cta,
+  html.theme--documenter-dark .is-active.file-name, html.theme--documenter-dark .select select.is-active, html.theme--documenter-dark .is-active.textarea, html.theme--documenter-dark .is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .is-active.button {
+    outline: none; }
+  html.theme--documenter-dark .pagination-previous[disabled],
+  html.theme--documenter-dark .pagination-next[disabled],
+  html.theme--documenter-dark .pagination-link[disabled],
+  html.theme--documenter-dark .pagination-ellipsis[disabled], html.theme--documenter-dark .file-cta[disabled],
+  html.theme--documenter-dark .file-name[disabled], html.theme--documenter-dark .select select[disabled], html.theme--documenter-dark .textarea[disabled], html.theme--documenter-dark .input[disabled], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled], html.theme--documenter-dark .button[disabled], fieldset[disabled] html.theme--documenter-dark .pagination-previous, html.theme--documenter-dark fieldset[disabled] .pagination-previous,
+  fieldset[disabled] html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark fieldset[disabled] .pagination-next,
+  fieldset[disabled] html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark fieldset[disabled] .pagination-link,
+  fieldset[disabled] html.theme--documenter-dark .pagination-ellipsis,
+  html.theme--documenter-dark fieldset[disabled] .pagination-ellipsis, fieldset[disabled] html.theme--documenter-dark .file-cta, html.theme--documenter-dark fieldset[disabled] .file-cta,
+  fieldset[disabled] html.theme--documenter-dark .file-name,
+  html.theme--documenter-dark fieldset[disabled] .file-name, fieldset[disabled] html.theme--documenter-dark .select select, fieldset[disabled] html.theme--documenter-dark .textarea, fieldset[disabled] html.theme--documenter-dark .input, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark fieldset[disabled] .select select, html.theme--documenter-dark .select fieldset[disabled] select, html.theme--documenter-dark fieldset[disabled] .textarea, html.theme--documenter-dark fieldset[disabled] .input, html.theme--documenter-dark fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar fieldset[disabled] form.docs-search > input, fieldset[disabled] html.theme--documenter-dark .button, html.theme--documenter-dark fieldset[disabled] .button {
+    cursor: not-allowed; }
+
+/*! minireset.css v0.0.4 | MIT License | github.com/jgthms/minireset.css */
+html,
+body,
+p,
+ol,
+ul,
+li,
+dl,
+dt,
+dd,
+blockquote,
+figure,
+fieldset,
+legend,
+textarea,
+pre,
+iframe,
+hr,
+h1,
+h2,
+h3,
+h4,
+h5,
+h6 {
+  margin: 0;
+  padding: 0; }
+
+h1,
+h2,
+h3,
+h4,
+h5,
+h6 {
+  font-size: 100%;
+  font-weight: normal; }
+
+ul {
+  list-style: none; }
+
+button,
+input,
+select,
+textarea {
+  margin: 0; }
+
+html {
+  box-sizing: border-box; }
+
+*, *::before, *::after {
+  box-sizing: inherit; }
+
+img,
+embed,
+iframe,
+object,
+video {
+  height: auto;
+  max-width: 100%; }
+
+audio {
+  max-width: 100%; }
+
+iframe {
+  border: 0; }
+
+table {
+  border-collapse: collapse;
+  border-spacing: 0; }
+
+td,
+th {
+  padding: 0; }
+  td:not([align]),
+  th:not([align]) {
+    text-align: left; }
+
+.is-clearfix::after {
+  clear: both;
+  content: " ";
+  display: table; }
+
+.is-pulled-left {
+  float: left !important; }
+
+.is-pulled-right {
+  float: right !important; }
+
+.is-clipped {
+  overflow: hidden !important; }
+
+.is-size-1 {
+  font-size: 3rem !important; }
+
+.is-size-2 {
+  font-size: 2.5rem !important; }
+
+.is-size-3 {
+  font-size: 2rem !important; }
+
+.is-size-4 {
+  font-size: 1.5rem !important; }
+
+.is-size-5 {
+  font-size: 1.25rem !important; }
+
+.is-size-6 {
+  font-size: 15px !important; }
+
+.is-size-7, html.theme--documenter-dark .docstring > section > a.docs-sourcelink {
+  font-size: 0.85em !important; }
+
+@media screen and (max-width: 768px) {
+  .is-size-1-mobile {
+    font-size: 3rem !important; }
+  .is-size-2-mobile {
+    font-size: 2.5rem !important; }
+  .is-size-3-mobile {
+    font-size: 2rem !important; }
+  .is-size-4-mobile {
+    font-size: 1.5rem !important; }
+  .is-size-5-mobile {
+    font-size: 1.25rem !important; }
+  .is-size-6-mobile {
+    font-size: 15px !important; }
+  .is-size-7-mobile {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-size-1-tablet {
+    font-size: 3rem !important; }
+  .is-size-2-tablet {
+    font-size: 2.5rem !important; }
+  .is-size-3-tablet {
+    font-size: 2rem !important; }
+  .is-size-4-tablet {
+    font-size: 1.5rem !important; }
+  .is-size-5-tablet {
+    font-size: 1.25rem !important; }
+  .is-size-6-tablet {
+    font-size: 15px !important; }
+  .is-size-7-tablet {
+    font-size: 0.85em !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-size-1-touch {
+    font-size: 3rem !important; }
+  .is-size-2-touch {
+    font-size: 2.5rem !important; }
+  .is-size-3-touch {
+    font-size: 2rem !important; }
+  .is-size-4-touch {
+    font-size: 1.5rem !important; }
+  .is-size-5-touch {
+    font-size: 1.25rem !important; }
+  .is-size-6-touch {
+    font-size: 15px !important; }
+  .is-size-7-touch {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-size-1-desktop {
+    font-size: 3rem !important; }
+  .is-size-2-desktop {
+    font-size: 2.5rem !important; }
+  .is-size-3-desktop {
+    font-size: 2rem !important; }
+  .is-size-4-desktop {
+    font-size: 1.5rem !important; }
+  .is-size-5-desktop {
+    font-size: 1.25rem !important; }
+  .is-size-6-desktop {
+    font-size: 15px !important; }
+  .is-size-7-desktop {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-size-1-widescreen {
+    font-size: 3rem !important; }
+  .is-size-2-widescreen {
+    font-size: 2.5rem !important; }
+  .is-size-3-widescreen {
+    font-size: 2rem !important; }
+  .is-size-4-widescreen {
+    font-size: 1.5rem !important; }
+  .is-size-5-widescreen {
+    font-size: 1.25rem !important; }
+  .is-size-6-widescreen {
+    font-size: 15px !important; }
+  .is-size-7-widescreen {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-size-1-fullhd {
+    font-size: 3rem !important; }
+  .is-size-2-fullhd {
+    font-size: 2.5rem !important; }
+  .is-size-3-fullhd {
+    font-size: 2rem !important; }
+  .is-size-4-fullhd {
+    font-size: 1.5rem !important; }
+  .is-size-5-fullhd {
+    font-size: 1.25rem !important; }
+  .is-size-6-fullhd {
+    font-size: 15px !important; }
+  .is-size-7-fullhd {
+    font-size: 0.85em !important; } }
+
+.has-text-centered {
+  text-align: center !important; }
+
+.has-text-justified {
+  text-align: justify !important; }
+
+.has-text-left {
+  text-align: left !important; }
+
+.has-text-right {
+  text-align: right !important; }
+
+@media screen and (max-width: 768px) {
+  .has-text-centered-mobile {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-centered-tablet {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-centered-tablet-only {
+    text-align: center !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-centered-touch {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-centered-desktop {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-centered-desktop-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-centered-widescreen {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-centered-widescreen-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-centered-fullhd {
+    text-align: center !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-justified-mobile {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-justified-tablet {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-justified-tablet-only {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-justified-touch {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-justified-desktop {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-justified-desktop-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-justified-widescreen {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-justified-widescreen-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-justified-fullhd {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-left-mobile {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-left-tablet {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-left-tablet-only {
+    text-align: left !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-left-touch {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-left-desktop {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-left-desktop-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-left-widescreen {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-left-widescreen-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-left-fullhd {
+    text-align: left !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-right-mobile {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-right-tablet {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-right-tablet-only {
+    text-align: right !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-right-touch {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-right-desktop {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-right-desktop-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-right-widescreen {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-right-widescreen-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-right-fullhd {
+    text-align: right !important; } }
+
+.is-capitalized {
+  text-transform: capitalize !important; }
+
+.is-lowercase {
+  text-transform: lowercase !important; }
+
+.is-uppercase {
+  text-transform: uppercase !important; }
+
+.is-italic {
+  font-style: italic !important; }
+
+.has-text-white {
+  color: white !important; }
+
+a.has-text-white:hover, a.has-text-white:focus {
+  color: #e6e6e6 !important; }
+
+.has-background-white {
+  background-color: white !important; }
+
+.has-text-black {
+  color: #0a0a0a !important; }
+
+a.has-text-black:hover, a.has-text-black:focus {
+  color: black !important; }
+
+.has-background-black {
+  background-color: #0a0a0a !important; }
+
+.has-text-light {
+  color: #ecf0f1 !important; }
+
+a.has-text-light:hover, a.has-text-light:focus {
+  color: #cfd9db !important; }
+
+.has-background-light {
+  background-color: #ecf0f1 !important; }
+
+.has-text-dark {
+  color: #282f2f !important; }
+
+a.has-text-dark:hover, a.has-text-dark:focus {
+  color: #111414 !important; }
+
+.has-background-dark {
+  background-color: #282f2f !important; }
+
+.has-text-primary {
+  color: #375a7f !important; }
+
+a.has-text-primary:hover, a.has-text-primary:focus {
+  color: #28415b !important; }
+
+.has-background-primary {
+  background-color: #375a7f !important; }
+
+.has-text-link {
+  color: #1abc9c !important; }
+
+a.has-text-link:hover, a.has-text-link:focus {
+  color: #148f77 !important; }
+
+.has-background-link {
+  background-color: #1abc9c !important; }
+
+.has-text-info {
+  color: #024c7d !important; }
+
+a.has-text-info:hover, a.has-text-info:focus {
+  color: #012d4b !important; }
+
+.has-background-info {
+  background-color: #024c7d !important; }
+
+.has-text-success {
+  color: #008438 !important; }
+
+a.has-text-success:hover, a.has-text-success:focus {
+  color: #005122 !important; }
+
+.has-background-success {
+  background-color: #008438 !important; }
+
+.has-text-warning {
+  color: #ad8100 !important; }
+
+a.has-text-warning:hover, a.has-text-warning:focus {
+  color: #7a5b00 !important; }
+
+.has-background-warning {
+  background-color: #ad8100 !important; }
+
+.has-text-danger {
+  color: #9e1b0d !important; }
+
+a.has-text-danger:hover, a.has-text-danger:focus {
+  color: #6f1309 !important; }
+
+.has-background-danger {
+  background-color: #9e1b0d !important; }
+
+.has-text-black-bis {
+  color: #121212 !important; }
+
+.has-background-black-bis {
+  background-color: #121212 !important; }
+
+.has-text-black-ter {
+  color: #242424 !important; }
+
+.has-background-black-ter {
+  background-color: #242424 !important; }
+
+.has-text-grey-darker {
+  color: #282f2f !important; }
+
+.has-background-grey-darker {
+  background-color: #282f2f !important; }
+
+.has-text-grey-dark {
+  color: #343c3d !important; }
+
+.has-background-grey-dark {
+  background-color: #343c3d !important; }
+
+.has-text-grey {
+  color: #5e6d6f !important; }
+
+.has-background-grey {
+  background-color: #5e6d6f !important; }
+
+.has-text-grey-light {
+  color: #8c9b9d !important; }
+
+.has-background-grey-light {
+  background-color: #8c9b9d !important; }
+
+.has-text-grey-lighter {
+  color: #dbdee0 !important; }
+
+.has-background-grey-lighter {
+  background-color: #dbdee0 !important; }
+
+.has-text-white-ter {
+  color: #ecf0f1 !important; }
+
+.has-background-white-ter {
+  background-color: #ecf0f1 !important; }
+
+.has-text-white-bis {
+  color: #fafafa !important; }
+
+.has-background-white-bis {
+  background-color: #fafafa !important; }
+
+.has-text-weight-light {
+  font-weight: 300 !important; }
+
+.has-text-weight-normal {
+  font-weight: 400 !important; }
+
+.has-text-weight-medium {
+  font-weight: 500 !important; }
+
+.has-text-weight-semibold {
+  font-weight: 600 !important; }
+
+.has-text-weight-bold {
+  font-weight: 700 !important; }
+
+.is-family-primary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-secondary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-sans-serif {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-monospace {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-family-code {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-block {
+  display: block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-block-mobile {
+    display: block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-block-tablet {
+    display: block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-block-tablet-only {
+    display: block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-block-touch {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-block-desktop {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-block-desktop-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-block-widescreen {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-block-widescreen-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-block-fullhd {
+    display: block !important; } }
+
+.is-flex {
+  display: flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-flex-mobile {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-flex-tablet {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-flex-tablet-only {
+    display: flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-flex-touch {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-flex-desktop {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-flex-desktop-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-flex-widescreen {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-flex-widescreen-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-flex-fullhd {
+    display: flex !important; } }
+
+.is-inline {
+  display: inline !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-mobile {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-tablet {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-tablet-only {
+    display: inline !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-touch {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-desktop {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-desktop-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-widescreen {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-widescreen-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-fullhd {
+    display: inline !important; } }
+
+.is-inline-block {
+  display: inline-block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-block-mobile {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-block-tablet {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-block-tablet-only {
+    display: inline-block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-block-touch {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-block-desktop {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-block-desktop-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-block-widescreen {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-block-widescreen-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-block-fullhd {
+    display: inline-block !important; } }
+
+.is-inline-flex {
+  display: inline-flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-flex-mobile {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-flex-tablet {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-flex-tablet-only {
+    display: inline-flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-flex-touch {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-flex-desktop {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-flex-desktop-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-flex-widescreen {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-flex-widescreen-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-flex-fullhd {
+    display: inline-flex !important; } }
+
+.is-hidden {
+  display: none !important; }
+
+.is-sr-only {
+  border: none !important;
+  clip: rect(0, 0, 0, 0) !important;
+  height: 0.01em !important;
+  overflow: hidden !important;
+  padding: 0 !important;
+  position: absolute !important;
+  white-space: nowrap !important;
+  width: 0.01em !important; }
+
+@media screen and (max-width: 768px) {
+  .is-hidden-mobile {
+    display: none !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-hidden-tablet {
+    display: none !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-hidden-tablet-only {
+    display: none !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-hidden-touch {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-hidden-desktop {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-hidden-desktop-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-hidden-widescreen {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-hidden-widescreen-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-hidden-fullhd {
+    display: none !important; } }
+
+.is-invisible {
+  visibility: hidden !important; }
+
+@media screen and (max-width: 768px) {
+  .is-invisible-mobile {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-invisible-tablet {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-invisible-tablet-only {
+    visibility: hidden !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-invisible-touch {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-invisible-desktop {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-invisible-desktop-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-invisible-widescreen {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-invisible-widescreen-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-invisible-fullhd {
+    visibility: hidden !important; } }
+
+.is-marginless {
+  margin: 0 !important; }
+
+.is-paddingless {
+  padding: 0 !important; }
+
+.is-radiusless {
+  border-radius: 0 !important; }
+
+.is-shadowless {
+  box-shadow: none !important; }
+
+.is-relative {
+  position: relative !important; }
+
+html.theme--documenter-dark {
+  /* This file contain the overall layout.
+ *
+ * The main container is <div> that is identified by id #documenter.
+ */
+  /*!
+  Theme: a11y-dark
+  Author: @ericwbailey
+  Maintainer: @ericwbailey
+
+  Based on the Tomorrow Night Eighties theme: https://github.com/isagalaev/highlight.js/blob/master/src/styles/tomorrow-night-eighties.css
+*/
+  /* Comment */
+  /* Red */
+  /* Orange */
+  /* Yellow */
+  /* Green */
+  /* Blue */
+  /* Purple */ }
+  html.theme--documenter-dark html {
+    background-color: #1f2424;
+    font-size: 16px;
+    -moz-osx-font-smoothing: grayscale;
+    -webkit-font-smoothing: antialiased;
+    min-width: 300px;
+    overflow-x: auto;
+    overflow-y: scroll;
+    text-rendering: optimizeLegibility;
+    text-size-adjust: 100%; }
+  html.theme--documenter-dark article,
+  html.theme--documenter-dark aside,
+  html.theme--documenter-dark figure,
+  html.theme--documenter-dark footer,
+  html.theme--documenter-dark header,
+  html.theme--documenter-dark hgroup,
+  html.theme--documenter-dark section {
+    display: block; }
+  html.theme--documenter-dark body,
+  html.theme--documenter-dark button,
+  html.theme--documenter-dark input,
+  html.theme--documenter-dark select,
+  html.theme--documenter-dark textarea {
+    font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif; }
+  html.theme--documenter-dark code,
+  html.theme--documenter-dark pre {
+    -moz-osx-font-smoothing: auto;
+    -webkit-font-smoothing: auto;
+    font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace; }
+  html.theme--documenter-dark body {
+    color: #fff;
+    font-size: 1em;
+    font-weight: 400;
+    line-height: 1.5; }
+  html.theme--documenter-dark a {
+    color: #1abc9c;
+    cursor: pointer;
+    text-decoration: none; }
+    html.theme--documenter-dark a strong {
+      color: currentColor; }
+    html.theme--documenter-dark a:hover {
+      color: #1dd2af; }
+  html.theme--documenter-dark code {
+    background-color: rgba(255, 255, 255, 0.05);
+    color: #ececec;
+    font-size: 0.875em;
+    font-weight: normal;
+    padding: 0.1em; }
+  html.theme--documenter-dark hr {
+    background-color: #282f2f;
+    border: none;
+    display: block;
+    height: 2px;
+    margin: 1.5rem 0; }
+  html.theme--documenter-dark img {
+    height: auto;
+    max-width: 100%; }
+  html.theme--documenter-dark input[type="checkbox"],
+  html.theme--documenter-dark input[type="radio"] {
+    vertical-align: baseline; }
+  html.theme--documenter-dark small {
+    font-size: 0.875em; }
+  html.theme--documenter-dark span {
+    font-style: inherit;
+    font-weight: inherit; }
+  html.theme--documenter-dark strong {
+    color: #f2f2f2;
+    font-weight: 700; }
+  html.theme--documenter-dark fieldset {
+    border: none; }
+  html.theme--documenter-dark pre {
+    -webkit-overflow-scrolling: touch;
+    background-color: #282f2f;
+    color: #fff;
+    font-size: 0.875em;
+    overflow-x: auto;
+    padding: 1.25rem 1.5rem;
+    white-space: pre;
+    word-wrap: normal; }
+    html.theme--documenter-dark pre code {
+      background-color: transparent;
+      color: currentColor;
+      font-size: 1em;
+      padding: 0; }
+  html.theme--documenter-dark table td,
+  html.theme--documenter-dark table th {
+    vertical-align: top; }
+    html.theme--documenter-dark table td:not([align]),
+    html.theme--documenter-dark table th:not([align]) {
+      text-align: left; }
+  html.theme--documenter-dark table th {
+    color: #f2f2f2; }
+  html.theme--documenter-dark .box {
+    background-color: #343c3d;
+    border-radius: 8px;
+    box-shadow: none;
+    color: #fff;
+    display: block;
+    padding: 1.25rem; }
+  html.theme--documenter-dark a.box:hover, html.theme--documenter-dark a.box:focus {
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px #1abc9c; }
+  html.theme--documenter-dark a.box:active {
+    box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2), 0 0 0 1px #1abc9c; }
+  html.theme--documenter-dark .button {
+    background-color: #282f2f;
+    border-color: #4c5759;
+    border-width: 1px;
+    color: #375a7f;
+    cursor: pointer;
+    justify-content: center;
+    padding-bottom: calc(0.375em - 1px);
+    padding-left: 0.75em;
+    padding-right: 0.75em;
+    padding-top: calc(0.375em - 1px);
+    text-align: center;
+    white-space: nowrap; }
+    html.theme--documenter-dark .button strong {
+      color: inherit; }
+    html.theme--documenter-dark .button .icon, html.theme--documenter-dark .button .icon.is-small, html.theme--documenter-dark .button #documenter .docs-sidebar form.docs-search > input.icon, html.theme--documenter-dark #documenter .docs-sidebar .button form.docs-search > input.icon, html.theme--documenter-dark .button .icon.is-medium, html.theme--documenter-dark .button .icon.is-large {
+      height: 1.5em;
+      width: 1.5em; }
+    html.theme--documenter-dark .button .icon:first-child:not(:last-child) {
+      margin-left: calc(-0.375em - 1px);
+      margin-right: 0.1875em; }
+    html.theme--documenter-dark .button .icon:last-child:not(:first-child) {
+      margin-left: 0.1875em;
+      margin-right: calc(-0.375em - 1px); }
+    html.theme--documenter-dark .button .icon:first-child:last-child {
+      margin-left: calc(-0.375em - 1px);
+      margin-right: calc(-0.375em - 1px); }
+    html.theme--documenter-dark .button:hover, html.theme--documenter-dark .button.is-hovered {
+      border-color: #8c9b9d;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .button:focus, html.theme--documenter-dark .button.is-focused {
+      border-color: #8c9b9d;
+      color: #17a689; }
+      html.theme--documenter-dark .button:focus:not(:active), html.theme--documenter-dark .button.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .button:active, html.theme--documenter-dark .button.is-active {
+      border-color: #343c3d;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .button.is-text {
+      background-color: transparent;
+      border-color: transparent;
+      color: #fff;
+      text-decoration: underline; }
+      html.theme--documenter-dark .button.is-text:hover, html.theme--documenter-dark .button.is-text.is-hovered, html.theme--documenter-dark .button.is-text:focus, html.theme--documenter-dark .button.is-text.is-focused {
+        background-color: #282f2f;
+        color: #f2f2f2; }
+      html.theme--documenter-dark .button.is-text:active, html.theme--documenter-dark .button.is-text.is-active {
+        background-color: #1d2122;
+        color: #f2f2f2; }
+      html.theme--documenter-dark .button.is-text[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-text {
+        background-color: transparent;
+        border-color: transparent;
+        box-shadow: none; }
+    html.theme--documenter-dark .button.is-white {
+      background-color: white;
+      border-color: transparent;
+      color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-white:hover, html.theme--documenter-dark .button.is-white.is-hovered {
+        background-color: #f9f9f9;
+        border-color: transparent;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-white:focus, html.theme--documenter-dark .button.is-white.is-focused {
+        border-color: transparent;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-white:focus:not(:active), html.theme--documenter-dark .button.is-white.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+      html.theme--documenter-dark .button.is-white:active, html.theme--documenter-dark .button.is-white.is-active {
+        background-color: #f2f2f2;
+        border-color: transparent;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-white[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white {
+        background-color: white;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-white.is-inverted {
+        background-color: #0a0a0a;
+        color: white; }
+        html.theme--documenter-dark .button.is-white.is-inverted:hover, html.theme--documenter-dark .button.is-white.is-inverted.is-hovered {
+          background-color: black; }
+        html.theme--documenter-dark .button.is-white.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted {
+          background-color: #0a0a0a;
+          border-color: transparent;
+          box-shadow: none;
+          color: white; }
+      html.theme--documenter-dark .button.is-white.is-loading::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      html.theme--documenter-dark .button.is-white.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        color: white; }
+        html.theme--documenter-dark .button.is-white.is-outlined:hover, html.theme--documenter-dark .button.is-white.is-outlined.is-hovered, html.theme--documenter-dark .button.is-white.is-outlined:focus, html.theme--documenter-dark .button.is-white.is-outlined.is-focused {
+          background-color: white;
+          border-color: white;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-white.is-outlined.is-loading::after {
+          border-color: transparent transparent white white !important; }
+        html.theme--documenter-dark .button.is-white.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+        html.theme--documenter-dark .button.is-white.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-outlined {
+          background-color: transparent;
+          border-color: white;
+          box-shadow: none;
+          color: white; }
+      html.theme--documenter-dark .button.is-white.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-focused {
+          background-color: #0a0a0a;
+          color: white; }
+        html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent white white !important; }
+        html.theme--documenter-dark .button.is-white.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #0a0a0a;
+          box-shadow: none;
+          color: #0a0a0a; }
+    html.theme--documenter-dark .button.is-black {
+      background-color: #0a0a0a;
+      border-color: transparent;
+      color: white; }
+      html.theme--documenter-dark .button.is-black:hover, html.theme--documenter-dark .button.is-black.is-hovered {
+        background-color: #040404;
+        border-color: transparent;
+        color: white; }
+      html.theme--documenter-dark .button.is-black:focus, html.theme--documenter-dark .button.is-black.is-focused {
+        border-color: transparent;
+        color: white; }
+        html.theme--documenter-dark .button.is-black:focus:not(:active), html.theme--documenter-dark .button.is-black.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+      html.theme--documenter-dark .button.is-black:active, html.theme--documenter-dark .button.is-black.is-active {
+        background-color: black;
+        border-color: transparent;
+        color: white; }
+      html.theme--documenter-dark .button.is-black[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black {
+        background-color: #0a0a0a;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-black.is-inverted {
+        background-color: white;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-black.is-inverted:hover, html.theme--documenter-dark .button.is-black.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-black.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted {
+          background-color: white;
+          border-color: transparent;
+          box-shadow: none;
+          color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-black.is-loading::after {
+        border-color: transparent transparent white white !important; }
+      html.theme--documenter-dark .button.is-black.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-black.is-outlined:hover, html.theme--documenter-dark .button.is-black.is-outlined.is-hovered, html.theme--documenter-dark .button.is-black.is-outlined:focus, html.theme--documenter-dark .button.is-black.is-outlined.is-focused {
+          background-color: #0a0a0a;
+          border-color: #0a0a0a;
+          color: white; }
+        html.theme--documenter-dark .button.is-black.is-outlined.is-loading::after {
+          border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+        html.theme--documenter-dark .button.is-black.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent white white !important; }
+        html.theme--documenter-dark .button.is-black.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-outlined {
+          background-color: transparent;
+          border-color: #0a0a0a;
+          box-shadow: none;
+          color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-black.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        color: white; }
+        html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-focused {
+          background-color: white;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+        html.theme--documenter-dark .button.is-black.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: white;
+          box-shadow: none;
+          color: white; }
+    html.theme--documenter-dark .button.is-light {
+      background-color: #ecf0f1;
+      border-color: transparent;
+      color: #282f2f; }
+      html.theme--documenter-dark .button.is-light:hover, html.theme--documenter-dark .button.is-light.is-hovered {
+        background-color: #e5eaec;
+        border-color: transparent;
+        color: #282f2f; }
+      html.theme--documenter-dark .button.is-light:focus, html.theme--documenter-dark .button.is-light.is-focused {
+        border-color: transparent;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-light:focus:not(:active), html.theme--documenter-dark .button.is-light.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); }
+      html.theme--documenter-dark .button.is-light:active, html.theme--documenter-dark .button.is-light.is-active {
+        background-color: #dde4e6;
+        border-color: transparent;
+        color: #282f2f; }
+      html.theme--documenter-dark .button.is-light[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light {
+        background-color: #ecf0f1;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-light.is-inverted {
+        background-color: #282f2f;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-light.is-inverted:hover, html.theme--documenter-dark .button.is-light.is-inverted.is-hovered {
+          background-color: #1d2122; }
+        html.theme--documenter-dark .button.is-light.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted {
+          background-color: #282f2f;
+          border-color: transparent;
+          box-shadow: none;
+          color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-light.is-loading::after {
+        border-color: transparent transparent #282f2f #282f2f !important; }
+      html.theme--documenter-dark .button.is-light.is-outlined {
+        background-color: transparent;
+        border-color: #ecf0f1;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-light.is-outlined:hover, html.theme--documenter-dark .button.is-light.is-outlined.is-hovered, html.theme--documenter-dark .button.is-light.is-outlined:focus, html.theme--documenter-dark .button.is-light.is-outlined.is-focused {
+          background-color: #ecf0f1;
+          border-color: #ecf0f1;
+          color: #282f2f; }
+        html.theme--documenter-dark .button.is-light.is-outlined.is-loading::after {
+          border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+        html.theme--documenter-dark .button.is-light.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #282f2f #282f2f !important; }
+        html.theme--documenter-dark .button.is-light.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-outlined {
+          background-color: transparent;
+          border-color: #ecf0f1;
+          box-shadow: none;
+          color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-light.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #282f2f;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused {
+          background-color: #282f2f;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+        html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #282f2f;
+          box-shadow: none;
+          color: #282f2f; }
+    html.theme--documenter-dark .button.is-dark, html.theme--documenter-dark .content kbd.button {
+      background-color: #282f2f;
+      border-color: transparent;
+      color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-dark:hover, html.theme--documenter-dark .content kbd.button:hover, html.theme--documenter-dark .button.is-dark.is-hovered, html.theme--documenter-dark .content kbd.button.is-hovered {
+        background-color: #232829;
+        border-color: transparent;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-dark:focus, html.theme--documenter-dark .content kbd.button:focus, html.theme--documenter-dark .button.is-dark.is-focused, html.theme--documenter-dark .content kbd.button.is-focused {
+        border-color: transparent;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-dark:focus:not(:active), html.theme--documenter-dark .content kbd.button:focus:not(:active), html.theme--documenter-dark .button.is-dark.is-focused:not(:active), html.theme--documenter-dark .content kbd.button.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); }
+      html.theme--documenter-dark .button.is-dark:active, html.theme--documenter-dark .content kbd.button:active, html.theme--documenter-dark .button.is-dark.is-active, html.theme--documenter-dark .content kbd.button.is-active {
+        background-color: #1d2122;
+        border-color: transparent;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-dark[disabled], html.theme--documenter-dark .content kbd.button[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark, fieldset[disabled] html.theme--documenter-dark .content kbd.button {
+        background-color: #282f2f;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-dark.is-inverted, html.theme--documenter-dark .content kbd.button.is-inverted {
+        background-color: #ecf0f1;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-dark.is-inverted:hover, html.theme--documenter-dark .content kbd.button.is-inverted:hover, html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered, html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered {
+          background-color: #dde4e6; }
+        html.theme--documenter-dark .button.is-dark.is-inverted[disabled], html.theme--documenter-dark .content kbd.button.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted {
+          background-color: #ecf0f1;
+          border-color: transparent;
+          box-shadow: none;
+          color: #282f2f; }
+      html.theme--documenter-dark .button.is-dark.is-loading::after, html.theme--documenter-dark .content kbd.button.is-loading::after {
+        border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+      html.theme--documenter-dark .button.is-dark.is-outlined, html.theme--documenter-dark .content kbd.button.is-outlined {
+        background-color: transparent;
+        border-color: #282f2f;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-dark.is-outlined:hover, html.theme--documenter-dark .content kbd.button.is-outlined:hover, html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered, html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered, html.theme--documenter-dark .button.is-dark.is-outlined:focus, html.theme--documenter-dark .content kbd.button.is-outlined:focus, html.theme--documenter-dark .button.is-dark.is-outlined.is-focused, html.theme--documenter-dark .content kbd.button.is-outlined.is-focused {
+          background-color: #282f2f;
+          border-color: #282f2f;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after {
+          border-color: transparent transparent #282f2f #282f2f !important; }
+        html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+        html.theme--documenter-dark .button.is-dark.is-outlined[disabled], html.theme--documenter-dark .content kbd.button.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined {
+          background-color: transparent;
+          border-color: #282f2f;
+          box-shadow: none;
+          color: #282f2f; }
+      html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #ecf0f1;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused {
+          background-color: #ecf0f1;
+          color: #282f2f; }
+        html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #282f2f #282f2f !important; }
+        html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled], html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #ecf0f1;
+          box-shadow: none;
+          color: #ecf0f1; }
+    html.theme--documenter-dark .button.is-primary, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink {
+      background-color: #375a7f;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-primary:hover, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-hovered.docs-sourcelink {
+        background-color: #335476;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-primary:focus, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-primary:focus:not(:active), html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus:not(:active), html.theme--documenter-dark .button.is-primary.is-focused:not(:active), html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); }
+      html.theme--documenter-dark .button.is-primary:active, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:active, html.theme--documenter-dark .button.is-primary.is-active, html.theme--documenter-dark .docstring > section > a.button.is-active.docs-sourcelink {
+        background-color: #2f4d6d;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-primary[disabled], html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink {
+        background-color: #375a7f;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-primary.is-inverted, html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink {
+        background-color: #fff;
+        color: #375a7f; }
+        html.theme--documenter-dark .button.is-primary.is-inverted:hover, html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-inverted.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-hovered.docs-sourcelink {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-primary.is-inverted[disabled], html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #375a7f; }
+      html.theme--documenter-dark .button.is-primary.is-loading::after, html.theme--documenter-dark .docstring > section > a.button.is-loading.docs-sourcelink::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-primary.is-outlined, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #375a7f;
+        color: #375a7f; }
+        html.theme--documenter-dark .button.is-primary.is-outlined:hover, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-outlined.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-outlined:focus, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-outlined.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-focused.docs-sourcelink {
+          background-color: #375a7f;
+          border-color: #375a7f;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-primary.is-outlined.is-loading::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink::after {
+          border-color: transparent transparent #375a7f #375a7f !important; }
+        html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:hover::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:hover::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:focus::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:focus::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-primary.is-outlined[disabled], html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-outlined, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink {
+          background-color: transparent;
+          border-color: #375a7f;
+          box-shadow: none;
+          color: #375a7f; }
+      html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined:hover, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined:focus, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-focused.docs-sourcelink {
+          background-color: #fff;
+          color: #375a7f; }
+        html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+          border-color: transparent transparent #375a7f #375a7f !important; }
+        html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined[disabled], html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-link {
+      background-color: #1abc9c;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-link:hover, html.theme--documenter-dark .button.is-link.is-hovered {
+        background-color: #18b193;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-link:focus, html.theme--documenter-dark .button.is-link.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-link:focus:not(:active), html.theme--documenter-dark .button.is-link.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+      html.theme--documenter-dark .button.is-link:active, html.theme--documenter-dark .button.is-link.is-active {
+        background-color: #17a689;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-link[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link {
+        background-color: #1abc9c;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-link.is-inverted {
+        background-color: #fff;
+        color: #1abc9c; }
+        html.theme--documenter-dark .button.is-link.is-inverted:hover, html.theme--documenter-dark .button.is-link.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-link.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #1abc9c; }
+      html.theme--documenter-dark .button.is-link.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-link.is-outlined {
+        background-color: transparent;
+        border-color: #1abc9c;
+        color: #1abc9c; }
+        html.theme--documenter-dark .button.is-link.is-outlined:hover, html.theme--documenter-dark .button.is-link.is-outlined.is-hovered, html.theme--documenter-dark .button.is-link.is-outlined:focus, html.theme--documenter-dark .button.is-link.is-outlined.is-focused {
+          background-color: #1abc9c;
+          border-color: #1abc9c;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-link.is-outlined.is-loading::after {
+          border-color: transparent transparent #1abc9c #1abc9c !important; }
+        html.theme--documenter-dark .button.is-link.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-link.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-outlined {
+          background-color: transparent;
+          border-color: #1abc9c;
+          box-shadow: none;
+          color: #1abc9c; }
+      html.theme--documenter-dark .button.is-link.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #1abc9c; }
+        html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #1abc9c #1abc9c !important; }
+        html.theme--documenter-dark .button.is-link.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-info {
+      background-color: #024c7d;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-info:hover, html.theme--documenter-dark .button.is-info.is-hovered {
+        background-color: #024470;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-info:focus, html.theme--documenter-dark .button.is-info.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-info:focus:not(:active), html.theme--documenter-dark .button.is-info.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); }
+      html.theme--documenter-dark .button.is-info:active, html.theme--documenter-dark .button.is-info.is-active {
+        background-color: #023d64;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-info[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info {
+        background-color: #024c7d;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-info.is-inverted {
+        background-color: #fff;
+        color: #024c7d; }
+        html.theme--documenter-dark .button.is-info.is-inverted:hover, html.theme--documenter-dark .button.is-info.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-info.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #024c7d; }
+      html.theme--documenter-dark .button.is-info.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-info.is-outlined {
+        background-color: transparent;
+        border-color: #024c7d;
+        color: #024c7d; }
+        html.theme--documenter-dark .button.is-info.is-outlined:hover, html.theme--documenter-dark .button.is-info.is-outlined.is-hovered, html.theme--documenter-dark .button.is-info.is-outlined:focus, html.theme--documenter-dark .button.is-info.is-outlined.is-focused {
+          background-color: #024c7d;
+          border-color: #024c7d;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-info.is-outlined.is-loading::after {
+          border-color: transparent transparent #024c7d #024c7d !important; }
+        html.theme--documenter-dark .button.is-info.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-info.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-outlined {
+          background-color: transparent;
+          border-color: #024c7d;
+          box-shadow: none;
+          color: #024c7d; }
+      html.theme--documenter-dark .button.is-info.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #024c7d; }
+        html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #024c7d #024c7d !important; }
+        html.theme--documenter-dark .button.is-info.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-success {
+      background-color: #008438;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-success:hover, html.theme--documenter-dark .button.is-success.is-hovered {
+        background-color: #007733;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-success:focus, html.theme--documenter-dark .button.is-success.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-success:focus:not(:active), html.theme--documenter-dark .button.is-success.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); }
+      html.theme--documenter-dark .button.is-success:active, html.theme--documenter-dark .button.is-success.is-active {
+        background-color: #006b2d;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-success[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success {
+        background-color: #008438;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-success.is-inverted {
+        background-color: #fff;
+        color: #008438; }
+        html.theme--documenter-dark .button.is-success.is-inverted:hover, html.theme--documenter-dark .button.is-success.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-success.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #008438; }
+      html.theme--documenter-dark .button.is-success.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-success.is-outlined {
+        background-color: transparent;
+        border-color: #008438;
+        color: #008438; }
+        html.theme--documenter-dark .button.is-success.is-outlined:hover, html.theme--documenter-dark .button.is-success.is-outlined.is-hovered, html.theme--documenter-dark .button.is-success.is-outlined:focus, html.theme--documenter-dark .button.is-success.is-outlined.is-focused {
+          background-color: #008438;
+          border-color: #008438;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-success.is-outlined.is-loading::after {
+          border-color: transparent transparent #008438 #008438 !important; }
+        html.theme--documenter-dark .button.is-success.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-success.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-outlined {
+          background-color: transparent;
+          border-color: #008438;
+          box-shadow: none;
+          color: #008438; }
+      html.theme--documenter-dark .button.is-success.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #008438; }
+        html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #008438 #008438 !important; }
+        html.theme--documenter-dark .button.is-success.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-warning {
+      background-color: #ad8100;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-warning:hover, html.theme--documenter-dark .button.is-warning.is-hovered {
+        background-color: #a07700;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-warning:focus, html.theme--documenter-dark .button.is-warning.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-warning:focus:not(:active), html.theme--documenter-dark .button.is-warning.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); }
+      html.theme--documenter-dark .button.is-warning:active, html.theme--documenter-dark .button.is-warning.is-active {
+        background-color: #946e00;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-warning[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning {
+        background-color: #ad8100;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-warning.is-inverted {
+        background-color: #fff;
+        color: #ad8100; }
+        html.theme--documenter-dark .button.is-warning.is-inverted:hover, html.theme--documenter-dark .button.is-warning.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-warning.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #ad8100; }
+      html.theme--documenter-dark .button.is-warning.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-warning.is-outlined {
+        background-color: transparent;
+        border-color: #ad8100;
+        color: #ad8100; }
+        html.theme--documenter-dark .button.is-warning.is-outlined:hover, html.theme--documenter-dark .button.is-warning.is-outlined.is-hovered, html.theme--documenter-dark .button.is-warning.is-outlined:focus, html.theme--documenter-dark .button.is-warning.is-outlined.is-focused {
+          background-color: #ad8100;
+          border-color: #ad8100;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-warning.is-outlined.is-loading::after {
+          border-color: transparent transparent #ad8100 #ad8100 !important; }
+        html.theme--documenter-dark .button.is-warning.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-warning.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-outlined {
+          background-color: transparent;
+          border-color: #ad8100;
+          box-shadow: none;
+          color: #ad8100; }
+      html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #ad8100; }
+        html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #ad8100 #ad8100 !important; }
+        html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-danger {
+      background-color: #9e1b0d;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-danger:hover, html.theme--documenter-dark .button.is-danger.is-hovered {
+        background-color: #92190c;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-danger:focus, html.theme--documenter-dark .button.is-danger.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-danger:focus:not(:active), html.theme--documenter-dark .button.is-danger.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); }
+      html.theme--documenter-dark .button.is-danger:active, html.theme--documenter-dark .button.is-danger.is-active {
+        background-color: #86170b;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-danger[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger {
+        background-color: #9e1b0d;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-danger.is-inverted {
+        background-color: #fff;
+        color: #9e1b0d; }
+        html.theme--documenter-dark .button.is-danger.is-inverted:hover, html.theme--documenter-dark .button.is-danger.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-danger.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #9e1b0d; }
+      html.theme--documenter-dark .button.is-danger.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-danger.is-outlined {
+        background-color: transparent;
+        border-color: #9e1b0d;
+        color: #9e1b0d; }
+        html.theme--documenter-dark .button.is-danger.is-outlined:hover, html.theme--documenter-dark .button.is-danger.is-outlined.is-hovered, html.theme--documenter-dark .button.is-danger.is-outlined:focus, html.theme--documenter-dark .button.is-danger.is-outlined.is-focused {
+          background-color: #9e1b0d;
+          border-color: #9e1b0d;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-danger.is-outlined.is-loading::after {
+          border-color: transparent transparent #9e1b0d #9e1b0d !important; }
+        html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-danger.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-outlined {
+          background-color: transparent;
+          border-color: #9e1b0d;
+          box-shadow: none;
+          color: #9e1b0d; }
+      html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #9e1b0d; }
+        html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #9e1b0d #9e1b0d !important; }
+        html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.button {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .button.is-normal {
+      font-size: 15px; }
+    html.theme--documenter-dark .button.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .button.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .button[disabled], fieldset[disabled] html.theme--documenter-dark .button {
+      background-color: #8c9b9d;
+      border-color: #dbdee0;
+      box-shadow: none;
+      opacity: 0.5; }
+    html.theme--documenter-dark .button.is-fullwidth {
+      display: flex;
+      width: 100%; }
+    html.theme--documenter-dark .button.is-loading {
+      color: transparent !important;
+      pointer-events: none; }
+      html.theme--documenter-dark .button.is-loading::after {
+        position: absolute;
+        left: calc(50% - (1em / 2));
+        top: calc(50% - (1em / 2));
+        position: absolute !important; }
+    html.theme--documenter-dark .button.is-static {
+      background-color: #282f2f;
+      border-color: #5e6d6f;
+      color: #dbdee0;
+      box-shadow: none;
+      pointer-events: none; }
+    html.theme--documenter-dark .button.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.button {
+      border-radius: 290486px;
+      padding-left: 1em;
+      padding-right: 1em; }
+  html.theme--documenter-dark .buttons {
+    align-items: center;
+    display: flex;
+    flex-wrap: wrap;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .buttons .button {
+      margin-bottom: 0.5rem; }
+      html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth) {
+        margin-right: 0.5rem; }
+    html.theme--documenter-dark .buttons:last-child {
+      margin-bottom: -0.5rem; }
+    html.theme--documenter-dark .buttons:not(:last-child) {
+      margin-bottom: 1rem; }
+    html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large) {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large) {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium) {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .buttons.has-addons .button:not(:first-child) {
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    html.theme--documenter-dark .buttons.has-addons .button:not(:last-child) {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0;
+      margin-right: -1px; }
+    html.theme--documenter-dark .buttons.has-addons .button:last-child {
+      margin-right: 0; }
+    html.theme--documenter-dark .buttons.has-addons .button:hover, html.theme--documenter-dark .buttons.has-addons .button.is-hovered {
+      z-index: 2; }
+    html.theme--documenter-dark .buttons.has-addons .button:focus, html.theme--documenter-dark .buttons.has-addons .button.is-focused, html.theme--documenter-dark .buttons.has-addons .button:active, html.theme--documenter-dark .buttons.has-addons .button.is-active, html.theme--documenter-dark .buttons.has-addons .button.is-selected {
+      z-index: 3; }
+      html.theme--documenter-dark .buttons.has-addons .button:focus:hover, html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover, html.theme--documenter-dark .buttons.has-addons .button:active:hover, html.theme--documenter-dark .buttons.has-addons .button.is-active:hover, html.theme--documenter-dark .buttons.has-addons .button.is-selected:hover {
+        z-index: 4; }
+    html.theme--documenter-dark .buttons.has-addons .button.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .buttons.is-centered {
+      justify-content: center; }
+      html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth) {
+        margin-left: 0.25rem;
+        margin-right: 0.25rem; }
+    html.theme--documenter-dark .buttons.is-right {
+      justify-content: flex-end; }
+      html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth) {
+        margin-left: 0.25rem;
+        margin-right: 0.25rem; }
+  html.theme--documenter-dark .container {
+    flex-grow: 1;
+    margin: 0 auto;
+    position: relative;
+    width: auto; }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .container {
+        max-width: 992px; }
+        html.theme--documenter-dark .container.is-fluid {
+          margin-left: 32px;
+          margin-right: 32px;
+          max-width: none; } }
+    @media screen and (max-width: 1215px) {
+      html.theme--documenter-dark .container.is-widescreen {
+        max-width: 1152px; } }
+    @media screen and (max-width: 1407px) {
+      html.theme--documenter-dark .container.is-fullhd {
+        max-width: 1344px; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .container {
+        max-width: 1152px; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .container {
+        max-width: 1344px; } }
+  html.theme--documenter-dark .content li + li {
+    margin-top: 0.25em; }
+  html.theme--documenter-dark .content p:not(:last-child),
+  html.theme--documenter-dark .content dl:not(:last-child),
+  html.theme--documenter-dark .content ol:not(:last-child),
+  html.theme--documenter-dark .content ul:not(:last-child),
+  html.theme--documenter-dark .content blockquote:not(:last-child),
+  html.theme--documenter-dark .content pre:not(:last-child),
+  html.theme--documenter-dark .content table:not(:last-child) {
+    margin-bottom: 1em; }
+  html.theme--documenter-dark .content h1,
+  html.theme--documenter-dark .content h2,
+  html.theme--documenter-dark .content h3,
+  html.theme--documenter-dark .content h4,
+  html.theme--documenter-dark .content h5,
+  html.theme--documenter-dark .content h6 {
+    color: #f2f2f2;
+    font-weight: 600;
+    line-height: 1.125; }
+  html.theme--documenter-dark .content h1 {
+    font-size: 2em;
+    margin-bottom: 0.5em; }
+    html.theme--documenter-dark .content h1:not(:first-child) {
+      margin-top: 1em; }
+  html.theme--documenter-dark .content h2 {
+    font-size: 1.75em;
+    margin-bottom: 0.5714em; }
+    html.theme--documenter-dark .content h2:not(:first-child) {
+      margin-top: 1.1428em; }
+  html.theme--documenter-dark .content h3 {
+    font-size: 1.5em;
+    margin-bottom: 0.6666em; }
+    html.theme--documenter-dark .content h3:not(:first-child) {
+      margin-top: 1.3333em; }
+  html.theme--documenter-dark .content h4 {
+    font-size: 1.25em;
+    margin-bottom: 0.8em; }
+  html.theme--documenter-dark .content h5 {
+    font-size: 1.125em;
+    margin-bottom: 0.8888em; }
+  html.theme--documenter-dark .content h6 {
+    font-size: 1em;
+    margin-bottom: 1em; }
+  html.theme--documenter-dark .content blockquote {
+    background-color: #282f2f;
+    border-left: 5px solid #5e6d6f;
+    padding: 1.25em 1.5em; }
+  html.theme--documenter-dark .content ol {
+    list-style-position: outside;
+    margin-left: 2em;
+    margin-top: 1em; }
+    html.theme--documenter-dark .content ol:not([type]) {
+      list-style-type: decimal; }
+      html.theme--documenter-dark .content ol.is-lower-alpha:not([type]) {
+        list-style-type: lower-alpha; }
+      html.theme--documenter-dark .content ol.is-lower-roman:not([type]) {
+        list-style-type: lower-roman; }
+      html.theme--documenter-dark .content ol.is-upper-alpha:not([type]) {
+        list-style-type: upper-alpha; }
+      html.theme--documenter-dark .content ol.is-upper-roman:not([type]) {
+        list-style-type: upper-roman; }
+  html.theme--documenter-dark .content ul {
+    list-style: disc outside;
+    margin-left: 2em;
+    margin-top: 1em; }
+    html.theme--documenter-dark .content ul ul {
+      list-style-type: circle;
+      margin-top: 0.5em; }
+      html.theme--documenter-dark .content ul ul ul {
+        list-style-type: square; }
+  html.theme--documenter-dark .content dd {
+    margin-left: 2em; }
+  html.theme--documenter-dark .content figure {
+    margin-left: 2em;
+    margin-right: 2em;
+    text-align: center; }
+    html.theme--documenter-dark .content figure:not(:first-child) {
+      margin-top: 2em; }
+    html.theme--documenter-dark .content figure:not(:last-child) {
+      margin-bottom: 2em; }
+    html.theme--documenter-dark .content figure img {
+      display: inline-block; }
+    html.theme--documenter-dark .content figure figcaption {
+      font-style: italic; }
+  html.theme--documenter-dark .content pre {
+    -webkit-overflow-scrolling: touch;
+    overflow-x: auto;
+    padding: 0;
+    white-space: pre;
+    word-wrap: normal; }
+  html.theme--documenter-dark .content sup,
+  html.theme--documenter-dark .content sub {
+    font-size: 75%; }
+  html.theme--documenter-dark .content table {
+    width: 100%; }
+    html.theme--documenter-dark .content table td,
+    html.theme--documenter-dark .content table th {
+      border: 1px solid #5e6d6f;
+      border-width: 0 0 1px;
+      padding: 0.5em 0.75em;
+      vertical-align: top; }
+    html.theme--documenter-dark .content table th {
+      color: #f2f2f2; }
+      html.theme--documenter-dark .content table th:not([align]) {
+        text-align: left; }
+    html.theme--documenter-dark .content table thead td,
+    html.theme--documenter-dark .content table thead th {
+      border-width: 0 0 2px;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .content table tfoot td,
+    html.theme--documenter-dark .content table tfoot th {
+      border-width: 2px 0 0;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .content table tbody tr:last-child td,
+    html.theme--documenter-dark .content table tbody tr:last-child th {
+      border-bottom-width: 0; }
+  html.theme--documenter-dark .content .tabs li + li {
+    margin-top: 0; }
+  html.theme--documenter-dark .content.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.content {
+    font-size: 0.85em; }
+  html.theme--documenter-dark .content.is-medium {
+    font-size: 1.25rem; }
+  html.theme--documenter-dark .content.is-large {
+    font-size: 1.5rem; }
+  html.theme--documenter-dark .icon {
+    align-items: center;
+    display: inline-flex;
+    justify-content: center;
+    height: 1.5rem;
+    width: 1.5rem; }
+    html.theme--documenter-dark .icon.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.icon {
+      height: 1rem;
+      width: 1rem; }
+    html.theme--documenter-dark .icon.is-medium {
+      height: 2rem;
+      width: 2rem; }
+    html.theme--documenter-dark .icon.is-large {
+      height: 3rem;
+      width: 3rem; }
+  html.theme--documenter-dark .image, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img {
+    display: block;
+    position: relative; }
+    html.theme--documenter-dark .image img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img img {
+      display: block;
+      height: auto;
+      width: 100%; }
+      html.theme--documenter-dark .image img.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img img.is-rounded {
+        border-radius: 290486px; }
+    html.theme--documenter-dark .image.is-square img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square img,
+    html.theme--documenter-dark .image.is-square .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, html.theme--documenter-dark .image.is-1by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+    html.theme--documenter-dark .image.is-1by1 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, html.theme--documenter-dark .image.is-5by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+    html.theme--documenter-dark .image.is-5by4 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, html.theme--documenter-dark .image.is-4by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+    html.theme--documenter-dark .image.is-4by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, html.theme--documenter-dark .image.is-3by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+    html.theme--documenter-dark .image.is-3by2 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, html.theme--documenter-dark .image.is-5by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+    html.theme--documenter-dark .image.is-5by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, html.theme--documenter-dark .image.is-16by9 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+    html.theme--documenter-dark .image.is-16by9 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, html.theme--documenter-dark .image.is-2by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+    html.theme--documenter-dark .image.is-2by1 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, html.theme--documenter-dark .image.is-3by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+    html.theme--documenter-dark .image.is-3by1 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, html.theme--documenter-dark .image.is-4by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+    html.theme--documenter-dark .image.is-4by5 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, html.theme--documenter-dark .image.is-3by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+    html.theme--documenter-dark .image.is-3by4 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, html.theme--documenter-dark .image.is-2by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+    html.theme--documenter-dark .image.is-2by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, html.theme--documenter-dark .image.is-3by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+    html.theme--documenter-dark .image.is-3by5 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, html.theme--documenter-dark .image.is-9by16 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+    html.theme--documenter-dark .image.is-9by16 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, html.theme--documenter-dark .image.is-1by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+    html.theme--documenter-dark .image.is-1by2 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, html.theme--documenter-dark .image.is-1by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+    html.theme--documenter-dark .image.is-1by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio {
+      height: 100%;
+      width: 100%; }
+    html.theme--documenter-dark .image.is-square, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square, html.theme--documenter-dark .image.is-1by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 {
+      padding-top: 100%; }
+    html.theme--documenter-dark .image.is-5by4, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 {
+      padding-top: 80%; }
+    html.theme--documenter-dark .image.is-4by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 {
+      padding-top: 75%; }
+    html.theme--documenter-dark .image.is-3by2, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 {
+      padding-top: 66.6666%; }
+    html.theme--documenter-dark .image.is-5by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 {
+      padding-top: 60%; }
+    html.theme--documenter-dark .image.is-16by9, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 {
+      padding-top: 56.25%; }
+    html.theme--documenter-dark .image.is-2by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 {
+      padding-top: 50%; }
+    html.theme--documenter-dark .image.is-3by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 {
+      padding-top: 33.3333%; }
+    html.theme--documenter-dark .image.is-4by5, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 {
+      padding-top: 125%; }
+    html.theme--documenter-dark .image.is-3by4, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 {
+      padding-top: 133.3333%; }
+    html.theme--documenter-dark .image.is-2by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 {
+      padding-top: 150%; }
+    html.theme--documenter-dark .image.is-3by5, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 {
+      padding-top: 166.6666%; }
+    html.theme--documenter-dark .image.is-9by16, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 {
+      padding-top: 177.7777%; }
+    html.theme--documenter-dark .image.is-1by2, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 {
+      padding-top: 200%; }
+    html.theme--documenter-dark .image.is-1by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 {
+      padding-top: 300%; }
+    html.theme--documenter-dark .image.is-16x16, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16x16 {
+      height: 16px;
+      width: 16px; }
+    html.theme--documenter-dark .image.is-24x24, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-24x24 {
+      height: 24px;
+      width: 24px; }
+    html.theme--documenter-dark .image.is-32x32, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-32x32 {
+      height: 32px;
+      width: 32px; }
+    html.theme--documenter-dark .image.is-48x48, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-48x48 {
+      height: 48px;
+      width: 48px; }
+    html.theme--documenter-dark .image.is-64x64, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-64x64 {
+      height: 64px;
+      width: 64px; }
+    html.theme--documenter-dark .image.is-96x96, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-96x96 {
+      height: 96px;
+      width: 96px; }
+    html.theme--documenter-dark .image.is-128x128, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-128x128 {
+      height: 128px;
+      width: 128px; }
+  html.theme--documenter-dark .notification {
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    padding: 1.25rem 2.5rem 1.25rem 1.5rem;
+    position: relative; }
+    html.theme--documenter-dark .notification a:not(.button):not(.dropdown-item) {
+      color: currentColor;
+      text-decoration: underline; }
+    html.theme--documenter-dark .notification strong {
+      color: currentColor; }
+    html.theme--documenter-dark .notification code,
+    html.theme--documenter-dark .notification pre {
+      background: white; }
+    html.theme--documenter-dark .notification pre code {
+      background: transparent; }
+    html.theme--documenter-dark .notification > .delete {
+      position: absolute;
+      right: 0.5rem;
+      top: 0.5rem; }
+    html.theme--documenter-dark .notification .title,
+    html.theme--documenter-dark .notification .subtitle,
+    html.theme--documenter-dark .notification .content {
+      color: currentColor; }
+    html.theme--documenter-dark .notification.is-white {
+      background-color: white;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .notification.is-black {
+      background-color: #0a0a0a;
+      color: white; }
+    html.theme--documenter-dark .notification.is-light {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+    html.theme--documenter-dark .notification.is-dark, html.theme--documenter-dark .content kbd.notification {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .notification.is-primary, html.theme--documenter-dark .docstring > section > a.notification.docs-sourcelink {
+      background-color: #375a7f;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-link {
+      background-color: #1abc9c;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-info {
+      background-color: #024c7d;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-success {
+      background-color: #008438;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-warning {
+      background-color: #ad8100;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-danger {
+      background-color: #9e1b0d;
+      color: #fff; }
+  html.theme--documenter-dark .progress {
+    -moz-appearance: none;
+    -webkit-appearance: none;
+    border: none;
+    border-radius: 290486px;
+    display: block;
+    height: 15px;
+    overflow: hidden;
+    padding: 0;
+    width: 100%; }
+    html.theme--documenter-dark .progress::-webkit-progress-bar {
+      background-color: #5e6d6f; }
+    html.theme--documenter-dark .progress::-webkit-progress-value {
+      background-color: #dbdee0; }
+    html.theme--documenter-dark .progress::-moz-progress-bar {
+      background-color: #dbdee0; }
+    html.theme--documenter-dark .progress::-ms-fill {
+      background-color: #dbdee0;
+      border: none; }
+    html.theme--documenter-dark .progress.is-white::-webkit-progress-value {
+      background-color: white; }
+    html.theme--documenter-dark .progress.is-white::-moz-progress-bar {
+      background-color: white; }
+    html.theme--documenter-dark .progress.is-white::-ms-fill {
+      background-color: white; }
+    html.theme--documenter-dark .progress.is-white:indeterminate {
+      background-image: linear-gradient(to right, white 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-black::-webkit-progress-value {
+      background-color: #0a0a0a; }
+    html.theme--documenter-dark .progress.is-black::-moz-progress-bar {
+      background-color: #0a0a0a; }
+    html.theme--documenter-dark .progress.is-black::-ms-fill {
+      background-color: #0a0a0a; }
+    html.theme--documenter-dark .progress.is-black:indeterminate {
+      background-image: linear-gradient(to right, #0a0a0a 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-light::-webkit-progress-value {
+      background-color: #ecf0f1; }
+    html.theme--documenter-dark .progress.is-light::-moz-progress-bar {
+      background-color: #ecf0f1; }
+    html.theme--documenter-dark .progress.is-light::-ms-fill {
+      background-color: #ecf0f1; }
+    html.theme--documenter-dark .progress.is-light:indeterminate {
+      background-image: linear-gradient(to right, #ecf0f1 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-dark::-webkit-progress-value, html.theme--documenter-dark .content kbd.progress::-webkit-progress-value {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .progress.is-dark::-moz-progress-bar, html.theme--documenter-dark .content kbd.progress::-moz-progress-bar {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .progress.is-dark::-ms-fill, html.theme--documenter-dark .content kbd.progress::-ms-fill {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .progress.is-dark:indeterminate, html.theme--documenter-dark .content kbd.progress:indeterminate {
+      background-image: linear-gradient(to right, #282f2f 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-primary::-webkit-progress-value, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-webkit-progress-value {
+      background-color: #375a7f; }
+    html.theme--documenter-dark .progress.is-primary::-moz-progress-bar, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-moz-progress-bar {
+      background-color: #375a7f; }
+    html.theme--documenter-dark .progress.is-primary::-ms-fill, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-ms-fill {
+      background-color: #375a7f; }
+    html.theme--documenter-dark .progress.is-primary:indeterminate, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink:indeterminate {
+      background-image: linear-gradient(to right, #375a7f 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-link::-webkit-progress-value {
+      background-color: #1abc9c; }
+    html.theme--documenter-dark .progress.is-link::-moz-progress-bar {
+      background-color: #1abc9c; }
+    html.theme--documenter-dark .progress.is-link::-ms-fill {
+      background-color: #1abc9c; }
+    html.theme--documenter-dark .progress.is-link:indeterminate {
+      background-image: linear-gradient(to right, #1abc9c 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-info::-webkit-progress-value {
+      background-color: #024c7d; }
+    html.theme--documenter-dark .progress.is-info::-moz-progress-bar {
+      background-color: #024c7d; }
+    html.theme--documenter-dark .progress.is-info::-ms-fill {
+      background-color: #024c7d; }
+    html.theme--documenter-dark .progress.is-info:indeterminate {
+      background-image: linear-gradient(to right, #024c7d 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-success::-webkit-progress-value {
+      background-color: #008438; }
+    html.theme--documenter-dark .progress.is-success::-moz-progress-bar {
+      background-color: #008438; }
+    html.theme--documenter-dark .progress.is-success::-ms-fill {
+      background-color: #008438; }
+    html.theme--documenter-dark .progress.is-success:indeterminate {
+      background-image: linear-gradient(to right, #008438 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-warning::-webkit-progress-value {
+      background-color: #ad8100; }
+    html.theme--documenter-dark .progress.is-warning::-moz-progress-bar {
+      background-color: #ad8100; }
+    html.theme--documenter-dark .progress.is-warning::-ms-fill {
+      background-color: #ad8100; }
+    html.theme--documenter-dark .progress.is-warning:indeterminate {
+      background-image: linear-gradient(to right, #ad8100 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-danger::-webkit-progress-value {
+      background-color: #9e1b0d; }
+    html.theme--documenter-dark .progress.is-danger::-moz-progress-bar {
+      background-color: #9e1b0d; }
+    html.theme--documenter-dark .progress.is-danger::-ms-fill {
+      background-color: #9e1b0d; }
+    html.theme--documenter-dark .progress.is-danger:indeterminate {
+      background-image: linear-gradient(to right, #9e1b0d 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress:indeterminate {
+      animation-duration: 1.5s;
+      animation-iteration-count: infinite;
+      animation-name: moveIndeterminate;
+      animation-timing-function: linear;
+      background-color: #5e6d6f;
+      background-image: linear-gradient(to right, #fff 30%, #5e6d6f 30%);
+      background-position: top left;
+      background-repeat: no-repeat;
+      background-size: 150% 150%; }
+      html.theme--documenter-dark .progress:indeterminate::-webkit-progress-bar {
+        background-color: transparent; }
+      html.theme--documenter-dark .progress:indeterminate::-moz-progress-bar {
+        background-color: transparent; }
+    html.theme--documenter-dark .progress.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.progress {
+      height: 0.85em; }
+    html.theme--documenter-dark .progress.is-medium {
+      height: 1.25rem; }
+    html.theme--documenter-dark .progress.is-large {
+      height: 1.5rem; }
+
+@keyframes moveIndeterminate {
+  from {
+    background-position: 200% 0; }
+  to {
+    background-position: -200% 0; } }
+  html.theme--documenter-dark .table {
+    background-color: #343c3d;
+    color: #fff; }
+    html.theme--documenter-dark .table td,
+    html.theme--documenter-dark .table th {
+      border: 1px solid #5e6d6f;
+      border-width: 0 0 1px;
+      padding: 0.5em 0.75em;
+      vertical-align: top; }
+      html.theme--documenter-dark .table td.is-white,
+      html.theme--documenter-dark .table th.is-white {
+        background-color: white;
+        border-color: white;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .table td.is-black,
+      html.theme--documenter-dark .table th.is-black {
+        background-color: #0a0a0a;
+        border-color: #0a0a0a;
+        color: white; }
+      html.theme--documenter-dark .table td.is-light,
+      html.theme--documenter-dark .table th.is-light {
+        background-color: #ecf0f1;
+        border-color: #ecf0f1;
+        color: #282f2f; }
+      html.theme--documenter-dark .table td.is-dark,
+      html.theme--documenter-dark .table th.is-dark {
+        background-color: #282f2f;
+        border-color: #282f2f;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .table td.is-primary,
+      html.theme--documenter-dark .table th.is-primary {
+        background-color: #375a7f;
+        border-color: #375a7f;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-link,
+      html.theme--documenter-dark .table th.is-link {
+        background-color: #1abc9c;
+        border-color: #1abc9c;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-info,
+      html.theme--documenter-dark .table th.is-info {
+        background-color: #024c7d;
+        border-color: #024c7d;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-success,
+      html.theme--documenter-dark .table th.is-success {
+        background-color: #008438;
+        border-color: #008438;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-warning,
+      html.theme--documenter-dark .table th.is-warning {
+        background-color: #ad8100;
+        border-color: #ad8100;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-danger,
+      html.theme--documenter-dark .table th.is-danger {
+        background-color: #9e1b0d;
+        border-color: #9e1b0d;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-narrow,
+      html.theme--documenter-dark .table th.is-narrow {
+        white-space: nowrap;
+        width: 1%; }
+      html.theme--documenter-dark .table td.is-selected,
+      html.theme--documenter-dark .table th.is-selected {
+        background-color: #375a7f;
+        color: #fff; }
+        html.theme--documenter-dark .table td.is-selected a,
+        html.theme--documenter-dark .table td.is-selected strong,
+        html.theme--documenter-dark .table th.is-selected a,
+        html.theme--documenter-dark .table th.is-selected strong {
+          color: currentColor; }
+    html.theme--documenter-dark .table th {
+      color: #f2f2f2; }
+      html.theme--documenter-dark .table th:not([align]) {
+        text-align: left; }
+    html.theme--documenter-dark .table tr.is-selected {
+      background-color: #375a7f;
+      color: #fff; }
+      html.theme--documenter-dark .table tr.is-selected a,
+      html.theme--documenter-dark .table tr.is-selected strong {
+        color: currentColor; }
+      html.theme--documenter-dark .table tr.is-selected td,
+      html.theme--documenter-dark .table tr.is-selected th {
+        border-color: #fff;
+        color: currentColor; }
+    html.theme--documenter-dark .table thead {
+      background-color: transparent; }
+      html.theme--documenter-dark .table thead td,
+      html.theme--documenter-dark .table thead th {
+        border-width: 0 0 2px;
+        color: #f2f2f2; }
+    html.theme--documenter-dark .table tfoot {
+      background-color: transparent; }
+      html.theme--documenter-dark .table tfoot td,
+      html.theme--documenter-dark .table tfoot th {
+        border-width: 2px 0 0;
+        color: #f2f2f2; }
+    html.theme--documenter-dark .table tbody {
+      background-color: transparent; }
+      html.theme--documenter-dark .table tbody tr:last-child td,
+      html.theme--documenter-dark .table tbody tr:last-child th {
+        border-bottom-width: 0; }
+    html.theme--documenter-dark .table.is-bordered td,
+    html.theme--documenter-dark .table.is-bordered th {
+      border-width: 1px; }
+    html.theme--documenter-dark .table.is-bordered tr:last-child td,
+    html.theme--documenter-dark .table.is-bordered tr:last-child th {
+      border-bottom-width: 1px; }
+    html.theme--documenter-dark .table.is-fullwidth {
+      width: 100%; }
+    html.theme--documenter-dark .table.is-hoverable tbody tr:not(.is-selected):hover {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover {
+      background-color: #282f2f; }
+      html.theme--documenter-dark .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover:nth-child(even) {
+        background-color: #2d3435; }
+    html.theme--documenter-dark .table.is-narrow td,
+    html.theme--documenter-dark .table.is-narrow th {
+      padding: 0.25em 0.5em; }
+    html.theme--documenter-dark .table.is-striped tbody tr:not(.is-selected):nth-child(even) {
+      background-color: #282f2f; }
+  html.theme--documenter-dark .table-container {
+    -webkit-overflow-scrolling: touch;
+    overflow: auto;
+    overflow-y: hidden;
+    max-width: 100%; }
+  html.theme--documenter-dark .tags {
+    align-items: center;
+    display: flex;
+    flex-wrap: wrap;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .tags .tag, html.theme--documenter-dark .tags .content kbd, html.theme--documenter-dark .content .tags kbd, html.theme--documenter-dark .tags .docstring > section > a.docs-sourcelink {
+      margin-bottom: 0.5rem; }
+      html.theme--documenter-dark .tags .tag:not(:last-child), html.theme--documenter-dark .tags .content kbd:not(:last-child), html.theme--documenter-dark .content .tags kbd:not(:last-child), html.theme--documenter-dark .tags .docstring > section > a.docs-sourcelink:not(:last-child) {
+        margin-right: 0.5rem; }
+    html.theme--documenter-dark .tags:last-child {
+      margin-bottom: -0.5rem; }
+    html.theme--documenter-dark .tags:not(:last-child) {
+      margin-bottom: 1rem; }
+    html.theme--documenter-dark .tags.are-medium .tag:not(.is-normal):not(.is-large), html.theme--documenter-dark .tags.are-medium .content kbd:not(.is-normal):not(.is-large), html.theme--documenter-dark .content .tags.are-medium kbd:not(.is-normal):not(.is-large), html.theme--documenter-dark .tags.are-medium .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-large) {
+      font-size: 15px; }
+    html.theme--documenter-dark .tags.are-large .tag:not(.is-normal):not(.is-medium), html.theme--documenter-dark .tags.are-large .content kbd:not(.is-normal):not(.is-medium), html.theme--documenter-dark .content .tags.are-large kbd:not(.is-normal):not(.is-medium), html.theme--documenter-dark .tags.are-large .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-medium) {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .tags.is-centered {
+      justify-content: center; }
+      html.theme--documenter-dark .tags.is-centered .tag, html.theme--documenter-dark .tags.is-centered .content kbd, html.theme--documenter-dark .content .tags.is-centered kbd, html.theme--documenter-dark .tags.is-centered .docstring > section > a.docs-sourcelink {
+        margin-right: 0.25rem;
+        margin-left: 0.25rem; }
+    html.theme--documenter-dark .tags.is-right {
+      justify-content: flex-end; }
+      html.theme--documenter-dark .tags.is-right .tag:not(:first-child), html.theme--documenter-dark .tags.is-right .content kbd:not(:first-child), html.theme--documenter-dark .content .tags.is-right kbd:not(:first-child), html.theme--documenter-dark .tags.is-right .docstring > section > a.docs-sourcelink:not(:first-child) {
+        margin-left: 0.5rem; }
+      html.theme--documenter-dark .tags.is-right .tag:not(:last-child), html.theme--documenter-dark .tags.is-right .content kbd:not(:last-child), html.theme--documenter-dark .content .tags.is-right kbd:not(:last-child), html.theme--documenter-dark .tags.is-right .docstring > section > a.docs-sourcelink:not(:last-child) {
+        margin-right: 0; }
+    html.theme--documenter-dark .tags.has-addons .tag, html.theme--documenter-dark .tags.has-addons .content kbd, html.theme--documenter-dark .content .tags.has-addons kbd, html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink {
+      margin-right: 0; }
+      html.theme--documenter-dark .tags.has-addons .tag:not(:first-child), html.theme--documenter-dark .tags.has-addons .content kbd:not(:first-child), html.theme--documenter-dark .content .tags.has-addons kbd:not(:first-child), html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink:not(:first-child) {
+        margin-left: 0;
+        border-bottom-left-radius: 0;
+        border-top-left-radius: 0; }
+      html.theme--documenter-dark .tags.has-addons .tag:not(:last-child), html.theme--documenter-dark .tags.has-addons .content kbd:not(:last-child), html.theme--documenter-dark .content .tags.has-addons kbd:not(:last-child), html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink:not(:last-child) {
+        border-bottom-right-radius: 0;
+        border-top-right-radius: 0; }
+  html.theme--documenter-dark .tag:not(body), html.theme--documenter-dark .content kbd:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) {
+    align-items: center;
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    color: #fff;
+    display: inline-flex;
+    font-size: 0.85em;
+    height: 2em;
+    justify-content: center;
+    line-height: 1.5;
+    padding-left: 0.75em;
+    padding-right: 0.75em;
+    white-space: nowrap; }
+    html.theme--documenter-dark .tag:not(body) .delete, html.theme--documenter-dark .content kbd:not(body) .delete, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .delete {
+      margin-left: 0.25rem;
+      margin-right: -0.375rem; }
+    html.theme--documenter-dark .tag.is-white:not(body), html.theme--documenter-dark .content kbd.is-white:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-white:not(body) {
+      background-color: white;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .tag.is-black:not(body), html.theme--documenter-dark .content kbd.is-black:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-black:not(body) {
+      background-color: #0a0a0a;
+      color: white; }
+    html.theme--documenter-dark .tag.is-light:not(body), html.theme--documenter-dark .content kbd.is-light:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-light:not(body) {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+    html.theme--documenter-dark .tag.is-dark:not(body), html.theme--documenter-dark .content kbd:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-dark:not(body), html.theme--documenter-dark .content .docstring > section > kbd:not(body) {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .tag.is-primary:not(body), html.theme--documenter-dark .content kbd.is-primary:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) {
+      background-color: #375a7f;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-link:not(body), html.theme--documenter-dark .content kbd.is-link:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-link:not(body) {
+      background-color: #1abc9c;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-info:not(body), html.theme--documenter-dark .content kbd.is-info:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-info:not(body) {
+      background-color: #024c7d;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-success:not(body), html.theme--documenter-dark .content kbd.is-success:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-success:not(body) {
+      background-color: #008438;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-warning:not(body), html.theme--documenter-dark .content kbd.is-warning:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-warning:not(body) {
+      background-color: #ad8100;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-danger:not(body), html.theme--documenter-dark .content kbd.is-danger:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-danger:not(body) {
+      background-color: #9e1b0d;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-normal:not(body), html.theme--documenter-dark .content kbd.is-normal:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-normal:not(body) {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .tag.is-medium:not(body), html.theme--documenter-dark .content kbd.is-medium:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-medium:not(body) {
+      font-size: 15px; }
+    html.theme--documenter-dark .tag.is-large:not(body), html.theme--documenter-dark .content kbd.is-large:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-large:not(body) {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .tag:not(body) .icon:first-child:not(:last-child), html.theme--documenter-dark .content kbd:not(body) .icon:first-child:not(:last-child), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:not(:last-child) {
+      margin-left: -0.375em;
+      margin-right: 0.1875em; }
+    html.theme--documenter-dark .tag:not(body) .icon:last-child:not(:first-child), html.theme--documenter-dark .content kbd:not(body) .icon:last-child:not(:first-child), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:last-child:not(:first-child) {
+      margin-left: 0.1875em;
+      margin-right: -0.375em; }
+    html.theme--documenter-dark .tag:not(body) .icon:first-child:last-child, html.theme--documenter-dark .content kbd:not(body) .icon:first-child:last-child, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:last-child {
+      margin-left: -0.375em;
+      margin-right: -0.375em; }
+    html.theme--documenter-dark .tag.is-delete:not(body), html.theme--documenter-dark .content kbd.is-delete:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body) {
+      margin-left: 1px;
+      padding: 0;
+      position: relative;
+      width: 2em; }
+      html.theme--documenter-dark .tag.is-delete:not(body)::before, html.theme--documenter-dark .content kbd.is-delete:not(body)::before, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::before, html.theme--documenter-dark .tag.is-delete:not(body)::after, html.theme--documenter-dark .content kbd.is-delete:not(body)::after, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+        background-color: currentColor;
+        content: "";
+        display: block;
+        left: 50%;
+        position: absolute;
+        top: 50%;
+        transform: translateX(-50%) translateY(-50%) rotate(45deg);
+        transform-origin: center center; }
+      html.theme--documenter-dark .tag.is-delete:not(body)::before, html.theme--documenter-dark .content kbd.is-delete:not(body)::before, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::before {
+        height: 1px;
+        width: 50%; }
+      html.theme--documenter-dark .tag.is-delete:not(body)::after, html.theme--documenter-dark .content kbd.is-delete:not(body)::after, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+        height: 50%;
+        width: 1px; }
+      html.theme--documenter-dark .tag.is-delete:not(body):hover, html.theme--documenter-dark .content kbd.is-delete:not(body):hover, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):hover, html.theme--documenter-dark .tag.is-delete:not(body):focus, html.theme--documenter-dark .content kbd.is-delete:not(body):focus, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):focus {
+        background-color: #1d2122; }
+      html.theme--documenter-dark .tag.is-delete:not(body):active, html.theme--documenter-dark .content kbd.is-delete:not(body):active, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):active {
+        background-color: #111414; }
+    html.theme--documenter-dark .tag.is-rounded:not(body), html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:not(body), html.theme--documenter-dark .content kbd.is-rounded:not(body), html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-rounded:not(body) {
+      border-radius: 290486px; }
+  html.theme--documenter-dark a.tag:hover, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:hover {
+    text-decoration: underline; }
+  html.theme--documenter-dark .title,
+  html.theme--documenter-dark .subtitle {
+    word-break: break-word; }
+    html.theme--documenter-dark .title em,
+    html.theme--documenter-dark .title span,
+    html.theme--documenter-dark .subtitle em,
+    html.theme--documenter-dark .subtitle span {
+      font-weight: inherit; }
+    html.theme--documenter-dark .title sub,
+    html.theme--documenter-dark .subtitle sub {
+      font-size: 0.75em; }
+    html.theme--documenter-dark .title sup,
+    html.theme--documenter-dark .subtitle sup {
+      font-size: 0.75em; }
+    html.theme--documenter-dark .title .tag, html.theme--documenter-dark .title .content kbd, html.theme--documenter-dark .content .title kbd, html.theme--documenter-dark .title .docstring > section > a.docs-sourcelink,
+    html.theme--documenter-dark .subtitle .tag,
+    html.theme--documenter-dark .subtitle .content kbd,
+    html.theme--documenter-dark .content .subtitle kbd,
+    html.theme--documenter-dark .subtitle .docstring > section > a.docs-sourcelink {
+      vertical-align: middle; }
+  html.theme--documenter-dark .title {
+    color: #fff;
+    font-size: 2rem;
+    font-weight: 500;
+    line-height: 1.125; }
+    html.theme--documenter-dark .title strong {
+      color: inherit;
+      font-weight: inherit; }
+    html.theme--documenter-dark .title + .highlight {
+      margin-top: -0.75rem; }
+    html.theme--documenter-dark .title:not(.is-spaced) + .subtitle {
+      margin-top: -1.25rem; }
+    html.theme--documenter-dark .title.is-1 {
+      font-size: 3rem; }
+    html.theme--documenter-dark .title.is-2 {
+      font-size: 2.5rem; }
+    html.theme--documenter-dark .title.is-3 {
+      font-size: 2rem; }
+    html.theme--documenter-dark .title.is-4 {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .title.is-5 {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .title.is-6 {
+      font-size: 15px; }
+    html.theme--documenter-dark .title.is-7 {
+      font-size: 0.85em; }
+  html.theme--documenter-dark .subtitle {
+    color: #8c9b9d;
+    font-size: 1.25rem;
+    font-weight: 400;
+    line-height: 1.25; }
+    html.theme--documenter-dark .subtitle strong {
+      color: #8c9b9d;
+      font-weight: 600; }
+    html.theme--documenter-dark .subtitle:not(.is-spaced) + .title {
+      margin-top: -1.25rem; }
+    html.theme--documenter-dark .subtitle.is-1 {
+      font-size: 3rem; }
+    html.theme--documenter-dark .subtitle.is-2 {
+      font-size: 2.5rem; }
+    html.theme--documenter-dark .subtitle.is-3 {
+      font-size: 2rem; }
+    html.theme--documenter-dark .subtitle.is-4 {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .subtitle.is-5 {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .subtitle.is-6 {
+      font-size: 15px; }
+    html.theme--documenter-dark .subtitle.is-7 {
+      font-size: 0.85em; }
+  html.theme--documenter-dark .heading {
+    display: block;
+    font-size: 11px;
+    letter-spacing: 1px;
+    margin-bottom: 5px;
+    text-transform: uppercase; }
+  html.theme--documenter-dark .highlight {
+    font-weight: 400;
+    max-width: 100%;
+    overflow: hidden;
+    padding: 0; }
+    html.theme--documenter-dark .highlight pre {
+      overflow: auto;
+      max-width: 100%; }
+  html.theme--documenter-dark .number {
+    align-items: center;
+    background-color: #282f2f;
+    border-radius: 290486px;
+    display: inline-flex;
+    font-size: 1.25rem;
+    height: 2em;
+    justify-content: center;
+    margin-right: 1.5rem;
+    min-width: 2.5em;
+    padding: 0.25rem 0.5rem;
+    text-align: center;
+    vertical-align: top; }
+  html.theme--documenter-dark .select select, html.theme--documenter-dark .textarea, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+    background-color: #1f2424;
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    color: #dbdee0; }
+    html.theme--documenter-dark .select select::-moz-placeholder, html.theme--documenter-dark .textarea::-moz-placeholder, html.theme--documenter-dark .input::-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-moz-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select::-webkit-input-placeholder, html.theme--documenter-dark .textarea::-webkit-input-placeholder, html.theme--documenter-dark .input::-webkit-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select:-moz-placeholder, html.theme--documenter-dark .textarea:-moz-placeholder, html.theme--documenter-dark .input:-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-moz-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select:-ms-input-placeholder, html.theme--documenter-dark .textarea:-ms-input-placeholder, html.theme--documenter-dark .input:-ms-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select:hover, html.theme--documenter-dark .textarea:hover, html.theme--documenter-dark .input:hover, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:hover, html.theme--documenter-dark .select select.is-hovered, html.theme--documenter-dark .is-hovered.textarea, html.theme--documenter-dark .is-hovered.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-hovered {
+      border-color: #8c9b9d; }
+    html.theme--documenter-dark .select select:focus, html.theme--documenter-dark .textarea:focus, html.theme--documenter-dark .input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:focus, html.theme--documenter-dark .select select.is-focused, html.theme--documenter-dark .is-focused.textarea, html.theme--documenter-dark .is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .select select:active, html.theme--documenter-dark .textarea:active, html.theme--documenter-dark .input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:active, html.theme--documenter-dark .select select.is-active, html.theme--documenter-dark .is-active.textarea, html.theme--documenter-dark .is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+      border-color: #1abc9c;
+      box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .select select[disabled], html.theme--documenter-dark .textarea[disabled], html.theme--documenter-dark .input[disabled], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled], fieldset[disabled] html.theme--documenter-dark .select select, fieldset[disabled] html.theme--documenter-dark .textarea, fieldset[disabled] html.theme--documenter-dark .input, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+      background-color: #8c9b9d;
+      border-color: #282f2f;
+      box-shadow: none;
+      color: white; }
+      html.theme--documenter-dark .select select[disabled]::-moz-placeholder, html.theme--documenter-dark .textarea[disabled]::-moz-placeholder, html.theme--documenter-dark .input[disabled]::-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .select select::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .input::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-moz-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+      html.theme--documenter-dark .select select[disabled]::-webkit-input-placeholder, html.theme--documenter-dark .textarea[disabled]::-webkit-input-placeholder, html.theme--documenter-dark .input[disabled]::-webkit-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .select select::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .input::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+      html.theme--documenter-dark .select select[disabled]:-moz-placeholder, html.theme--documenter-dark .textarea[disabled]:-moz-placeholder, html.theme--documenter-dark .input[disabled]:-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .select select:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .input:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-moz-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+      html.theme--documenter-dark .select select[disabled]:-ms-input-placeholder, html.theme--documenter-dark .textarea[disabled]:-ms-input-placeholder, html.theme--documenter-dark .input[disabled]:-ms-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .select select:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .input:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+  html.theme--documenter-dark .textarea, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+    box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.1);
+    max-width: 100%;
+    width: 100%; }
+    html.theme--documenter-dark .textarea[readonly], html.theme--documenter-dark .input[readonly], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[readonly] {
+      box-shadow: none; }
+    html.theme--documenter-dark .is-white.textarea, html.theme--documenter-dark .is-white.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white {
+      border-color: white; }
+      html.theme--documenter-dark .is-white.textarea:focus, html.theme--documenter-dark .is-white.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white:focus, html.theme--documenter-dark .is-white.is-focused.textarea, html.theme--documenter-dark .is-white.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-white.textarea:active, html.theme--documenter-dark .is-white.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white:active, html.theme--documenter-dark .is-white.is-active.textarea, html.theme--documenter-dark .is-white.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+    html.theme--documenter-dark .is-black.textarea, html.theme--documenter-dark .is-black.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black {
+      border-color: #0a0a0a; }
+      html.theme--documenter-dark .is-black.textarea:focus, html.theme--documenter-dark .is-black.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black:focus, html.theme--documenter-dark .is-black.is-focused.textarea, html.theme--documenter-dark .is-black.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-black.textarea:active, html.theme--documenter-dark .is-black.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black:active, html.theme--documenter-dark .is-black.is-active.textarea, html.theme--documenter-dark .is-black.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+    html.theme--documenter-dark .is-light.textarea, html.theme--documenter-dark .is-light.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light {
+      border-color: #ecf0f1; }
+      html.theme--documenter-dark .is-light.textarea:focus, html.theme--documenter-dark .is-light.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light:focus, html.theme--documenter-dark .is-light.is-focused.textarea, html.theme--documenter-dark .is-light.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-light.textarea:active, html.theme--documenter-dark .is-light.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light:active, html.theme--documenter-dark .is-light.is-active.textarea, html.theme--documenter-dark .is-light.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); }
+    html.theme--documenter-dark .is-dark.textarea, html.theme--documenter-dark .content kbd.textarea, html.theme--documenter-dark .is-dark.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark, html.theme--documenter-dark .content kbd.input {
+      border-color: #282f2f; }
+      html.theme--documenter-dark .is-dark.textarea:focus, html.theme--documenter-dark .content kbd.textarea:focus, html.theme--documenter-dark .is-dark.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark:focus, html.theme--documenter-dark .content kbd.input:focus, html.theme--documenter-dark .is-dark.is-focused.textarea, html.theme--documenter-dark .content kbd.is-focused.textarea, html.theme--documenter-dark .is-dark.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .content kbd.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input.is-focused, html.theme--documenter-dark .is-dark.textarea:active, html.theme--documenter-dark .content kbd.textarea:active, html.theme--documenter-dark .is-dark.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark:active, html.theme--documenter-dark .content kbd.input:active, html.theme--documenter-dark .is-dark.is-active.textarea, html.theme--documenter-dark .content kbd.is-active.textarea, html.theme--documenter-dark .is-dark.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .content kbd.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); }
+    html.theme--documenter-dark .is-primary.textarea, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink {
+      border-color: #375a7f; }
+      html.theme--documenter-dark .is-primary.textarea:focus, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink:focus, html.theme--documenter-dark .is-primary.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary:focus, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink:focus, html.theme--documenter-dark .is-primary.is-focused.textarea, html.theme--documenter-dark .docstring > section > a.is-focused.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .docstring > section > a.is-focused.input.docs-sourcelink, html.theme--documenter-dark .is-primary.textarea:active, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink:active, html.theme--documenter-dark .is-primary.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary:active, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink:active, html.theme--documenter-dark .is-primary.is-active.textarea, html.theme--documenter-dark .docstring > section > a.is-active.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .docstring > section > a.is-active.input.docs-sourcelink {
+        box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); }
+    html.theme--documenter-dark .is-link.textarea, html.theme--documenter-dark .is-link.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link {
+      border-color: #1abc9c; }
+      html.theme--documenter-dark .is-link.textarea:focus, html.theme--documenter-dark .is-link.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link:focus, html.theme--documenter-dark .is-link.is-focused.textarea, html.theme--documenter-dark .is-link.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-link.textarea:active, html.theme--documenter-dark .is-link.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link:active, html.theme--documenter-dark .is-link.is-active.textarea, html.theme--documenter-dark .is-link.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .is-info.textarea, html.theme--documenter-dark .is-info.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info {
+      border-color: #024c7d; }
+      html.theme--documenter-dark .is-info.textarea:focus, html.theme--documenter-dark .is-info.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info:focus, html.theme--documenter-dark .is-info.is-focused.textarea, html.theme--documenter-dark .is-info.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-info.textarea:active, html.theme--documenter-dark .is-info.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info:active, html.theme--documenter-dark .is-info.is-active.textarea, html.theme--documenter-dark .is-info.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); }
+    html.theme--documenter-dark .is-success.textarea, html.theme--documenter-dark .is-success.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success {
+      border-color: #008438; }
+      html.theme--documenter-dark .is-success.textarea:focus, html.theme--documenter-dark .is-success.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success:focus, html.theme--documenter-dark .is-success.is-focused.textarea, html.theme--documenter-dark .is-success.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-success.textarea:active, html.theme--documenter-dark .is-success.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success:active, html.theme--documenter-dark .is-success.is-active.textarea, html.theme--documenter-dark .is-success.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); }
+    html.theme--documenter-dark .is-warning.textarea, html.theme--documenter-dark .is-warning.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning {
+      border-color: #ad8100; }
+      html.theme--documenter-dark .is-warning.textarea:focus, html.theme--documenter-dark .is-warning.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning:focus, html.theme--documenter-dark .is-warning.is-focused.textarea, html.theme--documenter-dark .is-warning.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-warning.textarea:active, html.theme--documenter-dark .is-warning.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning:active, html.theme--documenter-dark .is-warning.is-active.textarea, html.theme--documenter-dark .is-warning.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); }
+    html.theme--documenter-dark .is-danger.textarea, html.theme--documenter-dark .is-danger.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger {
+      border-color: #9e1b0d; }
+      html.theme--documenter-dark .is-danger.textarea:focus, html.theme--documenter-dark .is-danger.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger:focus, html.theme--documenter-dark .is-danger.is-focused.textarea, html.theme--documenter-dark .is-danger.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-danger.textarea:active, html.theme--documenter-dark .is-danger.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger:active, html.theme--documenter-dark .is-danger.is-active.textarea, html.theme--documenter-dark .is-danger.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); }
+    html.theme--documenter-dark .is-small.textarea, html.theme--documenter-dark .is-small.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .is-medium.textarea, html.theme--documenter-dark .is-medium.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .is-large.textarea, html.theme--documenter-dark .is-large.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .is-fullwidth.textarea, html.theme--documenter-dark .is-fullwidth.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-fullwidth {
+      display: block;
+      width: 100%; }
+    html.theme--documenter-dark .is-inline.textarea, html.theme--documenter-dark .is-inline.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-inline {
+      display: inline;
+      width: auto; }
+  html.theme--documenter-dark .input.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+    border-radius: 290486px;
+    padding-left: 1em;
+    padding-right: 1em; }
+  html.theme--documenter-dark .input.is-static, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-static {
+    background-color: transparent;
+    border-color: transparent;
+    box-shadow: none;
+    padding-left: 0;
+    padding-right: 0; }
+  html.theme--documenter-dark .textarea {
+    display: block;
+    max-width: 100%;
+    min-width: 100%;
+    padding: 0.625em;
+    resize: vertical; }
+    html.theme--documenter-dark .textarea:not([rows]) {
+      max-height: 600px;
+      min-height: 120px; }
+    html.theme--documenter-dark .textarea[rows] {
+      height: initial; }
+    html.theme--documenter-dark .textarea.has-fixed-size {
+      resize: none; }
+  html.theme--documenter-dark .radio, html.theme--documenter-dark .checkbox {
+    cursor: pointer;
+    display: inline-block;
+    line-height: 1.25;
+    position: relative; }
+    html.theme--documenter-dark .radio input, html.theme--documenter-dark .checkbox input {
+      cursor: pointer; }
+    html.theme--documenter-dark .radio:hover, html.theme--documenter-dark .checkbox:hover {
+      color: #8c9b9d; }
+    html.theme--documenter-dark .radio[disabled], html.theme--documenter-dark .checkbox[disabled], fieldset[disabled] html.theme--documenter-dark .radio, fieldset[disabled] html.theme--documenter-dark .checkbox {
+      color: white;
+      cursor: not-allowed; }
+  html.theme--documenter-dark .radio + .radio {
+    margin-left: 0.5em; }
+  html.theme--documenter-dark .select {
+    display: inline-block;
+    max-width: 100%;
+    position: relative;
+    vertical-align: top; }
+    html.theme--documenter-dark .select:not(.is-multiple) {
+      height: 2.25em; }
+    html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after {
+      border-color: #1abc9c;
+      right: 1.125em;
+      z-index: 4; }
+    html.theme--documenter-dark .select.is-rounded select, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.select select {
+      border-radius: 290486px;
+      padding-left: 1em; }
+    html.theme--documenter-dark .select select {
+      cursor: pointer;
+      display: block;
+      font-size: 1em;
+      max-width: 100%;
+      outline: none; }
+      html.theme--documenter-dark .select select::-ms-expand {
+        display: none; }
+      html.theme--documenter-dark .select select[disabled]:hover, fieldset[disabled] html.theme--documenter-dark .select select:hover {
+        border-color: #282f2f; }
+      html.theme--documenter-dark .select select:not([multiple]) {
+        padding-right: 2.5em; }
+      html.theme--documenter-dark .select select[multiple] {
+        height: auto;
+        padding: 0; }
+        html.theme--documenter-dark .select select[multiple] option {
+          padding: 0.5em 1em; }
+    html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading):hover::after {
+      border-color: #8c9b9d; }
+    html.theme--documenter-dark .select.is-white:not(:hover)::after {
+      border-color: white; }
+    html.theme--documenter-dark .select.is-white select {
+      border-color: white; }
+      html.theme--documenter-dark .select.is-white select:hover, html.theme--documenter-dark .select.is-white select.is-hovered {
+        border-color: #f2f2f2; }
+      html.theme--documenter-dark .select.is-white select:focus, html.theme--documenter-dark .select.is-white select.is-focused, html.theme--documenter-dark .select.is-white select:active, html.theme--documenter-dark .select.is-white select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+    html.theme--documenter-dark .select.is-black:not(:hover)::after {
+      border-color: #0a0a0a; }
+    html.theme--documenter-dark .select.is-black select {
+      border-color: #0a0a0a; }
+      html.theme--documenter-dark .select.is-black select:hover, html.theme--documenter-dark .select.is-black select.is-hovered {
+        border-color: black; }
+      html.theme--documenter-dark .select.is-black select:focus, html.theme--documenter-dark .select.is-black select.is-focused, html.theme--documenter-dark .select.is-black select:active, html.theme--documenter-dark .select.is-black select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+    html.theme--documenter-dark .select.is-light:not(:hover)::after {
+      border-color: #ecf0f1; }
+    html.theme--documenter-dark .select.is-light select {
+      border-color: #ecf0f1; }
+      html.theme--documenter-dark .select.is-light select:hover, html.theme--documenter-dark .select.is-light select.is-hovered {
+        border-color: #dde4e6; }
+      html.theme--documenter-dark .select.is-light select:focus, html.theme--documenter-dark .select.is-light select.is-focused, html.theme--documenter-dark .select.is-light select:active, html.theme--documenter-dark .select.is-light select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); }
+    html.theme--documenter-dark .select.is-dark:not(:hover)::after, html.theme--documenter-dark .content kbd.select:not(:hover)::after {
+      border-color: #282f2f; }
+    html.theme--documenter-dark .select.is-dark select, html.theme--documenter-dark .content kbd.select select {
+      border-color: #282f2f; }
+      html.theme--documenter-dark .select.is-dark select:hover, html.theme--documenter-dark .content kbd.select select:hover, html.theme--documenter-dark .select.is-dark select.is-hovered, html.theme--documenter-dark .content kbd.select select.is-hovered {
+        border-color: #1d2122; }
+      html.theme--documenter-dark .select.is-dark select:focus, html.theme--documenter-dark .content kbd.select select:focus, html.theme--documenter-dark .select.is-dark select.is-focused, html.theme--documenter-dark .content kbd.select select.is-focused, html.theme--documenter-dark .select.is-dark select:active, html.theme--documenter-dark .content kbd.select select:active, html.theme--documenter-dark .select.is-dark select.is-active, html.theme--documenter-dark .content kbd.select select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); }
+    html.theme--documenter-dark .select.is-primary:not(:hover)::after, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink:not(:hover)::after {
+      border-color: #375a7f; }
+    html.theme--documenter-dark .select.is-primary select, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select {
+      border-color: #375a7f; }
+      html.theme--documenter-dark .select.is-primary select:hover, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:hover, html.theme--documenter-dark .select.is-primary select.is-hovered, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-hovered {
+        border-color: #2f4d6d; }
+      html.theme--documenter-dark .select.is-primary select:focus, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:focus, html.theme--documenter-dark .select.is-primary select.is-focused, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-focused, html.theme--documenter-dark .select.is-primary select:active, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:active, html.theme--documenter-dark .select.is-primary select.is-active, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); }
+    html.theme--documenter-dark .select.is-link:not(:hover)::after {
+      border-color: #1abc9c; }
+    html.theme--documenter-dark .select.is-link select {
+      border-color: #1abc9c; }
+      html.theme--documenter-dark .select.is-link select:hover, html.theme--documenter-dark .select.is-link select.is-hovered {
+        border-color: #17a689; }
+      html.theme--documenter-dark .select.is-link select:focus, html.theme--documenter-dark .select.is-link select.is-focused, html.theme--documenter-dark .select.is-link select:active, html.theme--documenter-dark .select.is-link select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .select.is-info:not(:hover)::after {
+      border-color: #024c7d; }
+    html.theme--documenter-dark .select.is-info select {
+      border-color: #024c7d; }
+      html.theme--documenter-dark .select.is-info select:hover, html.theme--documenter-dark .select.is-info select.is-hovered {
+        border-color: #023d64; }
+      html.theme--documenter-dark .select.is-info select:focus, html.theme--documenter-dark .select.is-info select.is-focused, html.theme--documenter-dark .select.is-info select:active, html.theme--documenter-dark .select.is-info select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); }
+    html.theme--documenter-dark .select.is-success:not(:hover)::after {
+      border-color: #008438; }
+    html.theme--documenter-dark .select.is-success select {
+      border-color: #008438; }
+      html.theme--documenter-dark .select.is-success select:hover, html.theme--documenter-dark .select.is-success select.is-hovered {
+        border-color: #006b2d; }
+      html.theme--documenter-dark .select.is-success select:focus, html.theme--documenter-dark .select.is-success select.is-focused, html.theme--documenter-dark .select.is-success select:active, html.theme--documenter-dark .select.is-success select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); }
+    html.theme--documenter-dark .select.is-warning:not(:hover)::after {
+      border-color: #ad8100; }
+    html.theme--documenter-dark .select.is-warning select {
+      border-color: #ad8100; }
+      html.theme--documenter-dark .select.is-warning select:hover, html.theme--documenter-dark .select.is-warning select.is-hovered {
+        border-color: #946e00; }
+      html.theme--documenter-dark .select.is-warning select:focus, html.theme--documenter-dark .select.is-warning select.is-focused, html.theme--documenter-dark .select.is-warning select:active, html.theme--documenter-dark .select.is-warning select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); }
+    html.theme--documenter-dark .select.is-danger:not(:hover)::after {
+      border-color: #9e1b0d; }
+    html.theme--documenter-dark .select.is-danger select {
+      border-color: #9e1b0d; }
+      html.theme--documenter-dark .select.is-danger select:hover, html.theme--documenter-dark .select.is-danger select.is-hovered {
+        border-color: #86170b; }
+      html.theme--documenter-dark .select.is-danger select:focus, html.theme--documenter-dark .select.is-danger select.is-focused, html.theme--documenter-dark .select.is-danger select:active, html.theme--documenter-dark .select.is-danger select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); }
+    html.theme--documenter-dark .select.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.select {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .select.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .select.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .select.is-disabled::after {
+      border-color: white; }
+    html.theme--documenter-dark .select.is-fullwidth {
+      width: 100%; }
+      html.theme--documenter-dark .select.is-fullwidth select {
+        width: 100%; }
+    html.theme--documenter-dark .select.is-loading::after {
+      margin-top: 0;
+      position: absolute;
+      right: 0.625em;
+      top: 0.625em;
+      transform: none; }
+    html.theme--documenter-dark .select.is-loading.is-small:after, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .select.is-loading.is-medium:after {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .select.is-loading.is-large:after {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .file {
+    align-items: stretch;
+    display: flex;
+    justify-content: flex-start;
+    position: relative; }
+    html.theme--documenter-dark .file.is-white .file-cta {
+      background-color: white;
+      border-color: transparent;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-white:hover .file-cta, html.theme--documenter-dark .file.is-white.is-hovered .file-cta {
+      background-color: #f9f9f9;
+      border-color: transparent;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-white:focus .file-cta, html.theme--documenter-dark .file.is-white.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(255, 255, 255, 0.25);
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-white:active .file-cta, html.theme--documenter-dark .file.is-white.is-active .file-cta {
+      background-color: #f2f2f2;
+      border-color: transparent;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-black .file-cta {
+      background-color: #0a0a0a;
+      border-color: transparent;
+      color: white; }
+    html.theme--documenter-dark .file.is-black:hover .file-cta, html.theme--documenter-dark .file.is-black.is-hovered .file-cta {
+      background-color: #040404;
+      border-color: transparent;
+      color: white; }
+    html.theme--documenter-dark .file.is-black:focus .file-cta, html.theme--documenter-dark .file.is-black.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(10, 10, 10, 0.25);
+      color: white; }
+    html.theme--documenter-dark .file.is-black:active .file-cta, html.theme--documenter-dark .file.is-black.is-active .file-cta {
+      background-color: black;
+      border-color: transparent;
+      color: white; }
+    html.theme--documenter-dark .file.is-light .file-cta {
+      background-color: #ecf0f1;
+      border-color: transparent;
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-light:hover .file-cta, html.theme--documenter-dark .file.is-light.is-hovered .file-cta {
+      background-color: #e5eaec;
+      border-color: transparent;
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-light:focus .file-cta, html.theme--documenter-dark .file.is-light.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(236, 240, 241, 0.25);
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-light:active .file-cta, html.theme--documenter-dark .file.is-light.is-active .file-cta {
+      background-color: #dde4e6;
+      border-color: transparent;
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-dark .file-cta, html.theme--documenter-dark .content kbd.file .file-cta {
+      background-color: #282f2f;
+      border-color: transparent;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-dark:hover .file-cta, html.theme--documenter-dark .content kbd.file:hover .file-cta, html.theme--documenter-dark .file.is-dark.is-hovered .file-cta, html.theme--documenter-dark .content kbd.file.is-hovered .file-cta {
+      background-color: #232829;
+      border-color: transparent;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-dark:focus .file-cta, html.theme--documenter-dark .content kbd.file:focus .file-cta, html.theme--documenter-dark .file.is-dark.is-focused .file-cta, html.theme--documenter-dark .content kbd.file.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(40, 47, 47, 0.25);
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-dark:active .file-cta, html.theme--documenter-dark .content kbd.file:active .file-cta, html.theme--documenter-dark .file.is-dark.is-active .file-cta, html.theme--documenter-dark .content kbd.file.is-active .file-cta {
+      background-color: #1d2122;
+      border-color: transparent;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-primary .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink .file-cta {
+      background-color: #375a7f;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-primary:hover .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:hover .file-cta, html.theme--documenter-dark .file.is-primary.is-hovered .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-hovered.docs-sourcelink .file-cta {
+      background-color: #335476;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-primary:focus .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:focus .file-cta, html.theme--documenter-dark .file.is-primary.is-focused .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-focused.docs-sourcelink .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(55, 90, 127, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-primary:active .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:active .file-cta, html.theme--documenter-dark .file.is-primary.is-active .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-active.docs-sourcelink .file-cta {
+      background-color: #2f4d6d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link .file-cta {
+      background-color: #1abc9c;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link:hover .file-cta, html.theme--documenter-dark .file.is-link.is-hovered .file-cta {
+      background-color: #18b193;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link:focus .file-cta, html.theme--documenter-dark .file.is-link.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(26, 188, 156, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link:active .file-cta, html.theme--documenter-dark .file.is-link.is-active .file-cta {
+      background-color: #17a689;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info .file-cta {
+      background-color: #024c7d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info:hover .file-cta, html.theme--documenter-dark .file.is-info.is-hovered .file-cta {
+      background-color: #024470;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info:focus .file-cta, html.theme--documenter-dark .file.is-info.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(2, 76, 125, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info:active .file-cta, html.theme--documenter-dark .file.is-info.is-active .file-cta {
+      background-color: #023d64;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success .file-cta {
+      background-color: #008438;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success:hover .file-cta, html.theme--documenter-dark .file.is-success.is-hovered .file-cta {
+      background-color: #007733;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success:focus .file-cta, html.theme--documenter-dark .file.is-success.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(0, 132, 56, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success:active .file-cta, html.theme--documenter-dark .file.is-success.is-active .file-cta {
+      background-color: #006b2d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning .file-cta {
+      background-color: #ad8100;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning:hover .file-cta, html.theme--documenter-dark .file.is-warning.is-hovered .file-cta {
+      background-color: #a07700;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning:focus .file-cta, html.theme--documenter-dark .file.is-warning.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(173, 129, 0, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning:active .file-cta, html.theme--documenter-dark .file.is-warning.is-active .file-cta {
+      background-color: #946e00;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger .file-cta {
+      background-color: #9e1b0d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger:hover .file-cta, html.theme--documenter-dark .file.is-danger.is-hovered .file-cta {
+      background-color: #92190c;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger:focus .file-cta, html.theme--documenter-dark .file.is-danger.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(158, 27, 13, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger:active .file-cta, html.theme--documenter-dark .file.is-danger.is-active .file-cta {
+      background-color: #86170b;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.file {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .file.is-medium {
+      font-size: 1.25rem; }
+      html.theme--documenter-dark .file.is-medium .file-icon .fa {
+        font-size: 21px; }
+    html.theme--documenter-dark .file.is-large {
+      font-size: 1.5rem; }
+      html.theme--documenter-dark .file.is-large .file-icon .fa {
+        font-size: 28px; }
+    html.theme--documenter-dark .file.has-name .file-cta {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0; }
+    html.theme--documenter-dark .file.has-name .file-name {
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    html.theme--documenter-dark .file.has-name.is-empty .file-cta {
+      border-radius: 0.4em; }
+    html.theme--documenter-dark .file.has-name.is-empty .file-name {
+      display: none; }
+    html.theme--documenter-dark .file.is-boxed .file-label {
+      flex-direction: column; }
+    html.theme--documenter-dark .file.is-boxed .file-cta {
+      flex-direction: column;
+      height: auto;
+      padding: 1em 3em; }
+    html.theme--documenter-dark .file.is-boxed .file-name {
+      border-width: 0 1px 1px; }
+    html.theme--documenter-dark .file.is-boxed .file-icon {
+      height: 1.5em;
+      width: 1.5em; }
+      html.theme--documenter-dark .file.is-boxed .file-icon .fa {
+        font-size: 21px; }
+    html.theme--documenter-dark .file.is-boxed.is-small .file-icon .fa, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-boxed .file-icon .fa {
+      font-size: 14px; }
+    html.theme--documenter-dark .file.is-boxed.is-medium .file-icon .fa {
+      font-size: 28px; }
+    html.theme--documenter-dark .file.is-boxed.is-large .file-icon .fa {
+      font-size: 35px; }
+    html.theme--documenter-dark .file.is-boxed.has-name .file-cta {
+      border-radius: 0.4em 0.4em 0 0; }
+    html.theme--documenter-dark .file.is-boxed.has-name .file-name {
+      border-radius: 0 0 0.4em 0.4em;
+      border-width: 0 1px 1px; }
+    html.theme--documenter-dark .file.is-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .file.is-fullwidth .file-label {
+      width: 100%; }
+    html.theme--documenter-dark .file.is-fullwidth .file-name {
+      flex-grow: 1;
+      max-width: none; }
+    html.theme--documenter-dark .file.is-right {
+      justify-content: flex-end; }
+      html.theme--documenter-dark .file.is-right .file-cta {
+        border-radius: 0 0.4em 0.4em 0; }
+      html.theme--documenter-dark .file.is-right .file-name {
+        border-radius: 0.4em 0 0 0.4em;
+        border-width: 1px 0 1px 1px;
+        order: -1; }
+  html.theme--documenter-dark .file-label {
+    align-items: stretch;
+    display: flex;
+    cursor: pointer;
+    justify-content: flex-start;
+    overflow: hidden;
+    position: relative; }
+    html.theme--documenter-dark .file-label:hover .file-cta {
+      background-color: #e5eaec;
+      color: #282f2f; }
+    html.theme--documenter-dark .file-label:hover .file-name {
+      border-color: #596668; }
+    html.theme--documenter-dark .file-label:active .file-cta {
+      background-color: #dde4e6;
+      color: #282f2f; }
+    html.theme--documenter-dark .file-label:active .file-name {
+      border-color: #535f61; }
+  html.theme--documenter-dark .file-input {
+    height: 100%;
+    left: 0;
+    opacity: 0;
+    outline: none;
+    position: absolute;
+    top: 0;
+    width: 100%; }
+  html.theme--documenter-dark .file-cta,
+  html.theme--documenter-dark .file-name {
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    font-size: 1em;
+    padding-left: 1em;
+    padding-right: 1em;
+    white-space: nowrap; }
+  html.theme--documenter-dark .file-cta {
+    background-color: #ecf0f1;
+    color: #343c3d; }
+  html.theme--documenter-dark .file-name {
+    border-color: #5e6d6f;
+    border-style: solid;
+    border-width: 1px 1px 1px 0;
+    display: block;
+    max-width: 16em;
+    overflow: hidden;
+    text-align: left;
+    text-overflow: ellipsis; }
+  html.theme--documenter-dark .file-icon {
+    align-items: center;
+    display: flex;
+    height: 1em;
+    justify-content: center;
+    margin-right: 0.5em;
+    width: 1em; }
+    html.theme--documenter-dark .file-icon .fa {
+      font-size: 14px; }
+  html.theme--documenter-dark .label {
+    color: #282f2f;
+    display: block;
+    font-size: 15px;
+    font-weight: 700; }
+    html.theme--documenter-dark .label:not(:last-child) {
+      margin-bottom: 0.5em; }
+    html.theme--documenter-dark .label.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.label {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .label.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .label.is-large {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .help {
+    display: block;
+    font-size: 0.85em;
+    margin-top: 0.25rem; }
+    html.theme--documenter-dark .help.is-white {
+      color: white; }
+    html.theme--documenter-dark .help.is-black {
+      color: #0a0a0a; }
+    html.theme--documenter-dark .help.is-light {
+      color: #ecf0f1; }
+    html.theme--documenter-dark .help.is-dark, html.theme--documenter-dark .content kbd.help {
+      color: #282f2f; }
+    html.theme--documenter-dark .help.is-primary, html.theme--documenter-dark .docstring > section > a.help.docs-sourcelink {
+      color: #375a7f; }
+    html.theme--documenter-dark .help.is-link {
+      color: #1abc9c; }
+    html.theme--documenter-dark .help.is-info {
+      color: #024c7d; }
+    html.theme--documenter-dark .help.is-success {
+      color: #008438; }
+    html.theme--documenter-dark .help.is-warning {
+      color: #ad8100; }
+    html.theme--documenter-dark .help.is-danger {
+      color: #9e1b0d; }
+  html.theme--documenter-dark .field:not(:last-child) {
+    margin-bottom: 0.75rem; }
+  html.theme--documenter-dark .field.has-addons {
+    display: flex;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .field.has-addons .control:not(:last-child) {
+      margin-right: -1px; }
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .button,
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .input,
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search > input,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search > input,
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .select select {
+      border-radius: 0; }
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .button,
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .input,
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search > input,
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .select select {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0; }
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .button,
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .input,
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search > input,
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .select select {
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):hover, html.theme--documenter-dark .field.has-addons .control .button.is-hovered:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):hover,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):hover,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):hover,
+    html.theme--documenter-dark .field.has-addons .control .input.is-hovered:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-hovered:not([disabled]),
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-hovered:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):hover,
+    html.theme--documenter-dark .field.has-addons .control .select select.is-hovered:not([disabled]) {
+      z-index: 2; }
+    html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):focus, html.theme--documenter-dark .field.has-addons .control .button.is-focused:not([disabled]), html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):active, html.theme--documenter-dark .field.has-addons .control .button.is-active:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):focus,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus,
+    html.theme--documenter-dark .field.has-addons .control .input.is-focused:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]),
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):active,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active,
+    html.theme--documenter-dark .field.has-addons .control .input.is-active:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]),
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):focus,
+    html.theme--documenter-dark .field.has-addons .control .select select.is-focused:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):active,
+    html.theme--documenter-dark .field.has-addons .control .select select.is-active:not([disabled]) {
+      z-index: 3; }
+      html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):focus:hover, html.theme--documenter-dark .field.has-addons .control .button.is-focused:not([disabled]):hover, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):active:hover, html.theme--documenter-dark .field.has-addons .control .button.is-active:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):focus:hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus:hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus:hover,
+      html.theme--documenter-dark .field.has-addons .control .input.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):active:hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active:hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active:hover,
+      html.theme--documenter-dark .field.has-addons .control .input.is-active:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]):hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):focus:hover,
+      html.theme--documenter-dark .field.has-addons .control .select select.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):active:hover,
+      html.theme--documenter-dark .field.has-addons .control .select select.is-active:not([disabled]):hover {
+        z-index: 4; }
+    html.theme--documenter-dark .field.has-addons .control.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .field.has-addons.has-addons-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .field.has-addons.has-addons-right {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .field.has-addons.has-addons-fullwidth .control {
+      flex-grow: 1;
+      flex-shrink: 0; }
+  html.theme--documenter-dark .field.is-grouped {
+    display: flex;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .field.is-grouped > .control {
+      flex-shrink: 0; }
+      html.theme--documenter-dark .field.is-grouped > .control:not(:last-child) {
+        margin-bottom: 0;
+        margin-right: 0.75rem; }
+      html.theme--documenter-dark .field.is-grouped > .control.is-expanded {
+        flex-grow: 1;
+        flex-shrink: 1; }
+    html.theme--documenter-dark .field.is-grouped.is-grouped-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .field.is-grouped.is-grouped-right {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .field.is-grouped.is-grouped-multiline {
+      flex-wrap: wrap; }
+      html.theme--documenter-dark .field.is-grouped.is-grouped-multiline > .control:last-child, html.theme--documenter-dark .field.is-grouped.is-grouped-multiline > .control:not(:last-child) {
+        margin-bottom: 0.75rem; }
+      html.theme--documenter-dark .field.is-grouped.is-grouped-multiline:last-child {
+        margin-bottom: -0.75rem; }
+      html.theme--documenter-dark .field.is-grouped.is-grouped-multiline:not(:last-child) {
+        margin-bottom: 0; }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .field.is-horizontal {
+      display: flex; } }
+  html.theme--documenter-dark .field-label .label {
+    font-size: inherit; }
+  @media screen and (max-width: 768px) {
+    html.theme--documenter-dark .field-label {
+      margin-bottom: 0.5rem; } }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .field-label {
+      flex-basis: 0;
+      flex-grow: 1;
+      flex-shrink: 0;
+      margin-right: 1.5rem;
+      text-align: right; }
+      html.theme--documenter-dark .field-label.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.field-label {
+        font-size: 0.85em;
+        padding-top: 0.375em; }
+      html.theme--documenter-dark .field-label.is-normal {
+        padding-top: 0.375em; }
+      html.theme--documenter-dark .field-label.is-medium {
+        font-size: 1.25rem;
+        padding-top: 0.375em; }
+      html.theme--documenter-dark .field-label.is-large {
+        font-size: 1.5rem;
+        padding-top: 0.375em; } }
+  html.theme--documenter-dark .field-body .field .field {
+    margin-bottom: 0; }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .field-body {
+      display: flex;
+      flex-basis: 0;
+      flex-grow: 5;
+      flex-shrink: 1; }
+      html.theme--documenter-dark .field-body .field {
+        margin-bottom: 0; }
+      html.theme--documenter-dark .field-body > .field {
+        flex-shrink: 1; }
+        html.theme--documenter-dark .field-body > .field:not(.is-narrow) {
+          flex-grow: 1; }
+        html.theme--documenter-dark .field-body > .field:not(:last-child) {
+          margin-right: 0.75rem; } }
+  html.theme--documenter-dark .control {
+    box-sizing: border-box;
+    clear: both;
+    font-size: 15px;
+    position: relative;
+    text-align: left; }
+    html.theme--documenter-dark .control.has-icons-left .input:focus ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input:focus ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select:focus ~ .icon, html.theme--documenter-dark .control.has-icons-right .input:focus ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input:focus ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select:focus ~ .icon {
+      color: #5e6d6f; }
+    html.theme--documenter-dark .control.has-icons-left .input.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select.is-small ~ .icon {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .control.has-icons-left .input.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-medium ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-medium ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select.is-medium ~ .icon {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .control.has-icons-left .input.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-large ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-large ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select.is-large ~ .icon {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .control.has-icons-left .icon, html.theme--documenter-dark .control.has-icons-right .icon {
+      color: #dbdee0;
+      height: 2.25em;
+      pointer-events: none;
+      position: absolute;
+      top: 0;
+      width: 2.25em;
+      z-index: 4; }
+    html.theme--documenter-dark .control.has-icons-left .input, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input,
+    html.theme--documenter-dark .control.has-icons-left .select select {
+      padding-left: 2.25em; }
+    html.theme--documenter-dark .control.has-icons-left .icon.is-left {
+      left: 0; }
+    html.theme--documenter-dark .control.has-icons-right .input, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input,
+    html.theme--documenter-dark .control.has-icons-right .select select {
+      padding-right: 2.25em; }
+    html.theme--documenter-dark .control.has-icons-right .icon.is-right {
+      right: 0; }
+    html.theme--documenter-dark .control.is-loading::after {
+      position: absolute !important;
+      right: 0.625em;
+      top: 0.625em;
+      z-index: 4; }
+    html.theme--documenter-dark .control.is-loading.is-small:after, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .control.is-loading.is-medium:after {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .control.is-loading.is-large:after {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .breadcrumb {
+    font-size: 15px;
+    white-space: nowrap; }
+    html.theme--documenter-dark .breadcrumb a {
+      align-items: center;
+      color: #1abc9c;
+      display: flex;
+      justify-content: center;
+      padding: 0 0.75em; }
+      html.theme--documenter-dark .breadcrumb a:hover {
+        color: #1dd2af; }
+    html.theme--documenter-dark .breadcrumb li {
+      align-items: center;
+      display: flex; }
+      html.theme--documenter-dark .breadcrumb li:first-child a {
+        padding-left: 0; }
+      html.theme--documenter-dark .breadcrumb li.is-active a {
+        color: #f2f2f2;
+        cursor: default;
+        pointer-events: none; }
+      html.theme--documenter-dark .breadcrumb li + li::before {
+        color: #8c9b9d;
+        content: "\0002f"; }
+    html.theme--documenter-dark .breadcrumb ul,
+    html.theme--documenter-dark .breadcrumb ol {
+      align-items: flex-start;
+      display: flex;
+      flex-wrap: wrap;
+      justify-content: flex-start; }
+    html.theme--documenter-dark .breadcrumb .icon:first-child {
+      margin-right: 0.5em; }
+    html.theme--documenter-dark .breadcrumb .icon:last-child {
+      margin-left: 0.5em; }
+    html.theme--documenter-dark .breadcrumb.is-centered ol,
+    html.theme--documenter-dark .breadcrumb.is-centered ul {
+      justify-content: center; }
+    html.theme--documenter-dark .breadcrumb.is-right ol,
+    html.theme--documenter-dark .breadcrumb.is-right ul {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .breadcrumb.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.breadcrumb {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .breadcrumb.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .breadcrumb.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .breadcrumb.has-arrow-separator li + li::before {
+      content: "\02192"; }
+    html.theme--documenter-dark .breadcrumb.has-bullet-separator li + li::before {
+      content: "\02022"; }
+    html.theme--documenter-dark .breadcrumb.has-dot-separator li + li::before {
+      content: "\000b7"; }
+    html.theme--documenter-dark .breadcrumb.has-succeeds-separator li + li::before {
+      content: "\0227B"; }
+  html.theme--documenter-dark .card {
+    background-color: white;
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+    color: #fff;
+    max-width: 100%;
+    position: relative; }
+  html.theme--documenter-dark .card-header {
+    background-color: transparent;
+    align-items: stretch;
+    box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+    display: flex; }
+  html.theme--documenter-dark .card-header-title {
+    align-items: center;
+    color: #f2f2f2;
+    display: flex;
+    flex-grow: 1;
+    font-weight: 700;
+    padding: 0.75rem; }
+    html.theme--documenter-dark .card-header-title.is-centered {
+      justify-content: center; }
+  html.theme--documenter-dark .card-header-icon {
+    align-items: center;
+    cursor: pointer;
+    display: flex;
+    justify-content: center;
+    padding: 0.75rem; }
+  html.theme--documenter-dark .card-image {
+    display: block;
+    position: relative; }
+  html.theme--documenter-dark .card-content {
+    background-color: transparent;
+    padding: 1.5rem; }
+  html.theme--documenter-dark .card-footer {
+    background-color: transparent;
+    border-top: 1px solid #5e6d6f;
+    align-items: stretch;
+    display: flex; }
+  html.theme--documenter-dark .card-footer-item {
+    align-items: center;
+    display: flex;
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 0;
+    justify-content: center;
+    padding: 0.75rem; }
+    html.theme--documenter-dark .card-footer-item:not(:last-child) {
+      border-right: 1px solid #5e6d6f; }
+  html.theme--documenter-dark .card .media:not(:last-child) {
+    margin-bottom: 1.5rem; }
+  html.theme--documenter-dark .dropdown {
+    display: inline-flex;
+    position: relative;
+    vertical-align: top; }
+    html.theme--documenter-dark .dropdown.is-active .dropdown-menu, html.theme--documenter-dark .dropdown.is-hoverable:hover .dropdown-menu {
+      display: block; }
+    html.theme--documenter-dark .dropdown.is-right .dropdown-menu {
+      left: auto;
+      right: 0; }
+    html.theme--documenter-dark .dropdown.is-up .dropdown-menu {
+      bottom: 100%;
+      padding-bottom: 4px;
+      padding-top: initial;
+      top: auto; }
+  html.theme--documenter-dark .dropdown-menu {
+    display: none;
+    left: 0;
+    min-width: 12rem;
+    padding-top: 4px;
+    position: absolute;
+    top: 100%;
+    z-index: 20; }
+  html.theme--documenter-dark .dropdown-content {
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+    padding-bottom: 0.5rem;
+    padding-top: 0.5rem; }
+  html.theme--documenter-dark .dropdown-item {
+    color: #fff;
+    display: block;
+    font-size: 0.875rem;
+    line-height: 1.5;
+    padding: 0.375rem 1rem;
+    position: relative; }
+  html.theme--documenter-dark a.dropdown-item,
+  html.theme--documenter-dark button.dropdown-item {
+    padding-right: 3rem;
+    text-align: left;
+    white-space: nowrap;
+    width: 100%; }
+    html.theme--documenter-dark a.dropdown-item:hover,
+    html.theme--documenter-dark button.dropdown-item:hover {
+      background-color: #282f2f;
+      color: #0a0a0a; }
+    html.theme--documenter-dark a.dropdown-item.is-active,
+    html.theme--documenter-dark button.dropdown-item.is-active {
+      background-color: #1abc9c;
+      color: #fff; }
+  html.theme--documenter-dark .dropdown-divider {
+    background-color: #5e6d6f;
+    border: none;
+    display: block;
+    height: 1px;
+    margin: 0.5rem 0; }
+  html.theme--documenter-dark .level {
+    align-items: center;
+    justify-content: space-between; }
+    html.theme--documenter-dark .level code {
+      border-radius: 0.4em; }
+    html.theme--documenter-dark .level img {
+      display: inline-block;
+      vertical-align: top; }
+    html.theme--documenter-dark .level.is-mobile {
+      display: flex; }
+      html.theme--documenter-dark .level.is-mobile .level-left,
+      html.theme--documenter-dark .level.is-mobile .level-right {
+        display: flex; }
+      html.theme--documenter-dark .level.is-mobile .level-left + .level-right {
+        margin-top: 0; }
+      html.theme--documenter-dark .level.is-mobile .level-item:not(:last-child) {
+        margin-bottom: 0;
+        margin-right: 0.75rem; }
+      html.theme--documenter-dark .level.is-mobile .level-item:not(.is-narrow) {
+        flex-grow: 1; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level {
+        display: flex; }
+        html.theme--documenter-dark .level > .level-item:not(.is-narrow) {
+          flex-grow: 1; } }
+  html.theme--documenter-dark .level-item {
+    align-items: center;
+    display: flex;
+    flex-basis: auto;
+    flex-grow: 0;
+    flex-shrink: 0;
+    justify-content: center; }
+    html.theme--documenter-dark .level-item .title,
+    html.theme--documenter-dark .level-item .subtitle {
+      margin-bottom: 0; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .level-item:not(:last-child) {
+        margin-bottom: 0.75rem; } }
+  html.theme--documenter-dark .level-left,
+  html.theme--documenter-dark .level-right {
+    flex-basis: auto;
+    flex-grow: 0;
+    flex-shrink: 0; }
+    html.theme--documenter-dark .level-left .level-item.is-flexible,
+    html.theme--documenter-dark .level-right .level-item.is-flexible {
+      flex-grow: 1; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level-left .level-item:not(:last-child),
+      html.theme--documenter-dark .level-right .level-item:not(:last-child) {
+        margin-right: 0.75rem; } }
+  html.theme--documenter-dark .level-left {
+    align-items: center;
+    justify-content: flex-start; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .level-left + .level-right {
+        margin-top: 1.5rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level-left {
+        display: flex; } }
+  html.theme--documenter-dark .level-right {
+    align-items: center;
+    justify-content: flex-end; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level-right {
+        display: flex; } }
+  html.theme--documenter-dark .list {
+    background-color: white;
+    border-radius: 0.4em;
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); }
+  html.theme--documenter-dark .list-item {
+    display: block;
+    padding: 0.5em 1em; }
+    html.theme--documenter-dark .list-item:not(a) {
+      color: #fff; }
+    html.theme--documenter-dark .list-item:first-child {
+      border-top-left-radius: 0.4em;
+      border-top-right-radius: 0.4em; }
+    html.theme--documenter-dark .list-item:last-child {
+      border-bottom-left-radius: 0.4em;
+      border-bottom-right-radius: 0.4em; }
+    html.theme--documenter-dark .list-item:not(:last-child) {
+      border-bottom: 1px solid #5e6d6f; }
+    html.theme--documenter-dark .list-item.is-active {
+      background-color: #1abc9c;
+      color: #fff; }
+  html.theme--documenter-dark a.list-item {
+    background-color: #282f2f;
+    cursor: pointer; }
+  html.theme--documenter-dark .media {
+    align-items: flex-start;
+    display: flex;
+    text-align: left; }
+    html.theme--documenter-dark .media .content:not(:last-child) {
+      margin-bottom: 0.75rem; }
+    html.theme--documenter-dark .media .media {
+      border-top: 1px solid rgba(94, 109, 111, 0.5);
+      display: flex;
+      padding-top: 0.75rem; }
+      html.theme--documenter-dark .media .media .content:not(:last-child),
+      html.theme--documenter-dark .media .media .control:not(:last-child) {
+        margin-bottom: 0.5rem; }
+      html.theme--documenter-dark .media .media .media {
+        padding-top: 0.5rem; }
+        html.theme--documenter-dark .media .media .media + .media {
+          margin-top: 0.5rem; }
+    html.theme--documenter-dark .media + .media {
+      border-top: 1px solid rgba(94, 109, 111, 0.5);
+      margin-top: 1rem;
+      padding-top: 1rem; }
+    html.theme--documenter-dark .media.is-large + .media {
+      margin-top: 1.5rem;
+      padding-top: 1.5rem; }
+  html.theme--documenter-dark .media-left,
+  html.theme--documenter-dark .media-right {
+    flex-basis: auto;
+    flex-grow: 0;
+    flex-shrink: 0; }
+  html.theme--documenter-dark .media-left {
+    margin-right: 1rem; }
+  html.theme--documenter-dark .media-right {
+    margin-left: 1rem; }
+  html.theme--documenter-dark .media-content {
+    flex-basis: auto;
+    flex-grow: 1;
+    flex-shrink: 1;
+    text-align: left; }
+  @media screen and (max-width: 768px) {
+    html.theme--documenter-dark .media-content {
+      overflow-x: auto; } }
+  html.theme--documenter-dark .menu {
+    font-size: 15px; }
+    html.theme--documenter-dark .menu.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.menu {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .menu.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .menu.is-large {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .menu-list {
+    line-height: 1.25; }
+    html.theme--documenter-dark .menu-list a {
+      border-radius: 3px;
+      color: #fff;
+      display: block;
+      padding: 0.5em 0.75em; }
+      html.theme--documenter-dark .menu-list a:hover {
+        background-color: #282f2f;
+        color: #f2f2f2; }
+      html.theme--documenter-dark .menu-list a.is-active {
+        background-color: #1abc9c;
+        color: #fff; }
+    html.theme--documenter-dark .menu-list li ul {
+      border-left: 1px solid #5e6d6f;
+      margin: 0.75em;
+      padding-left: 0.75em; }
+  html.theme--documenter-dark .menu-label {
+    color: white;
+    font-size: 0.75em;
+    letter-spacing: 0.1em;
+    text-transform: uppercase; }
+    html.theme--documenter-dark .menu-label:not(:first-child) {
+      margin-top: 1em; }
+    html.theme--documenter-dark .menu-label:not(:last-child) {
+      margin-bottom: 1em; }
+  html.theme--documenter-dark .message {
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    font-size: 15px; }
+    html.theme--documenter-dark .message strong {
+      color: currentColor; }
+    html.theme--documenter-dark .message a:not(.button):not(.tag):not(.dropdown-item) {
+      color: currentColor;
+      text-decoration: underline; }
+    html.theme--documenter-dark .message.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.message {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .message.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .message.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .message.is-white {
+      background-color: white; }
+      html.theme--documenter-dark .message.is-white .message-header {
+        background-color: white;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .message.is-white .message-body {
+        border-color: white;
+        color: #4d4d4d; }
+    html.theme--documenter-dark .message.is-black {
+      background-color: #fafafa; }
+      html.theme--documenter-dark .message.is-black .message-header {
+        background-color: #0a0a0a;
+        color: white; }
+      html.theme--documenter-dark .message.is-black .message-body {
+        border-color: #0a0a0a;
+        color: #090909; }
+    html.theme--documenter-dark .message.is-light {
+      background-color: #f9fafb; }
+      html.theme--documenter-dark .message.is-light .message-header {
+        background-color: #ecf0f1;
+        color: #282f2f; }
+      html.theme--documenter-dark .message.is-light .message-body {
+        border-color: #ecf0f1;
+        color: #505050; }
+    html.theme--documenter-dark .message.is-dark, html.theme--documenter-dark .content kbd.message {
+      background-color: #f9fafa; }
+      html.theme--documenter-dark .message.is-dark .message-header, html.theme--documenter-dark .content kbd.message .message-header {
+        background-color: #282f2f;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .message.is-dark .message-body, html.theme--documenter-dark .content kbd.message .message-body {
+        border-color: #282f2f;
+        color: #212526; }
+    html.theme--documenter-dark .message.is-primary, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink {
+      background-color: #f8fafc; }
+      html.theme--documenter-dark .message.is-primary .message-header, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink .message-header {
+        background-color: #375a7f;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-primary .message-body, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink .message-body {
+        border-color: #375a7f;
+        color: #2b4159; }
+    html.theme--documenter-dark .message.is-link {
+      background-color: #f6fefc; }
+      html.theme--documenter-dark .message.is-link .message-header {
+        background-color: #1abc9c;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-link .message-body {
+        border-color: #1abc9c;
+        color: #0b2f28; }
+    html.theme--documenter-dark .message.is-info {
+      background-color: #f5fbff; }
+      html.theme--documenter-dark .message.is-info .message-header {
+        background-color: #024c7d;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-info .message-body {
+        border-color: #024c7d;
+        color: #033659; }
+    html.theme--documenter-dark .message.is-success {
+      background-color: #f5fff9; }
+      html.theme--documenter-dark .message.is-success .message-header {
+        background-color: #008438;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-success .message-body {
+        border-color: #008438;
+        color: #023518; }
+    html.theme--documenter-dark .message.is-warning {
+      background-color: #fffcf5; }
+      html.theme--documenter-dark .message.is-warning .message-header {
+        background-color: #ad8100;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-warning .message-body {
+        border-color: #ad8100;
+        color: #3d2e03; }
+    html.theme--documenter-dark .message.is-danger {
+      background-color: #fef6f6; }
+      html.theme--documenter-dark .message.is-danger .message-header {
+        background-color: #9e1b0d;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-danger .message-body {
+        border-color: #9e1b0d;
+        color: #7a170c; }
+  html.theme--documenter-dark .message-header {
+    align-items: center;
+    background-color: #fff;
+    border-radius: 0.4em 0.4em 0 0;
+    color: rgba(0, 0, 0, 0.7);
+    display: flex;
+    font-weight: 700;
+    justify-content: space-between;
+    line-height: 1.25;
+    padding: 0.75em 1em;
+    position: relative; }
+    html.theme--documenter-dark .message-header .delete {
+      flex-grow: 0;
+      flex-shrink: 0;
+      margin-left: 0.75em; }
+    html.theme--documenter-dark .message-header + .message-body {
+      border-width: 0;
+      border-top-left-radius: 0;
+      border-top-right-radius: 0; }
+  html.theme--documenter-dark .message-body {
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    border-style: solid;
+    border-width: 0 0 0 4px;
+    color: #fff;
+    padding: 1.25em 1.5em; }
+    html.theme--documenter-dark .message-body code,
+    html.theme--documenter-dark .message-body pre {
+      background-color: white; }
+    html.theme--documenter-dark .message-body pre code {
+      background-color: transparent; }
+  html.theme--documenter-dark .modal {
+    align-items: center;
+    display: none;
+    flex-direction: column;
+    justify-content: center;
+    overflow: hidden;
+    position: fixed;
+    z-index: 40; }
+    html.theme--documenter-dark .modal.is-active {
+      display: flex; }
+  html.theme--documenter-dark .modal-background {
+    background-color: rgba(10, 10, 10, 0.86); }
+  html.theme--documenter-dark .modal-content,
+  html.theme--documenter-dark .modal-card {
+    margin: 0 20px;
+    max-height: calc(100vh - 160px);
+    overflow: auto;
+    position: relative;
+    width: 100%; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .modal-content,
+      html.theme--documenter-dark .modal-card {
+        margin: 0 auto;
+        max-height: calc(100vh - 40px);
+        width: 640px; } }
+  html.theme--documenter-dark .modal-close {
+    background: none;
+    height: 40px;
+    position: fixed;
+    right: 20px;
+    top: 20px;
+    width: 40px; }
+  html.theme--documenter-dark .modal-card {
+    display: flex;
+    flex-direction: column;
+    max-height: calc(100vh - 40px);
+    overflow: hidden;
+    -ms-overflow-y: visible; }
+  html.theme--documenter-dark .modal-card-head,
+  html.theme--documenter-dark .modal-card-foot {
+    align-items: center;
+    background-color: #282f2f;
+    display: flex;
+    flex-shrink: 0;
+    justify-content: flex-start;
+    padding: 20px;
+    position: relative; }
+  html.theme--documenter-dark .modal-card-head {
+    border-bottom: 1px solid #5e6d6f;
+    border-top-left-radius: 8px;
+    border-top-right-radius: 8px; }
+  html.theme--documenter-dark .modal-card-title {
+    color: #f2f2f2;
+    flex-grow: 1;
+    flex-shrink: 0;
+    font-size: 1.5rem;
+    line-height: 1; }
+  html.theme--documenter-dark .modal-card-foot {
+    border-bottom-left-radius: 8px;
+    border-bottom-right-radius: 8px;
+    border-top: 1px solid #5e6d6f; }
+    html.theme--documenter-dark .modal-card-foot .button:not(:last-child) {
+      margin-right: 0.5em; }
+  html.theme--documenter-dark .modal-card-body {
+    -webkit-overflow-scrolling: touch;
+    background-color: white;
+    flex-grow: 1;
+    flex-shrink: 1;
+    overflow: auto;
+    padding: 20px; }
+  html.theme--documenter-dark .navbar {
+    background-color: #375a7f;
+    min-height: 4rem;
+    position: relative;
+    z-index: 30; }
+    html.theme--documenter-dark .navbar.is-white {
+      background-color: white;
+      color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link {
+        color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link.is-active {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link::after {
+        border-color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-burger {
+        color: #0a0a0a; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-white .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link {
+          color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link.is-active {
+          background-color: #f2f2f2;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link::after {
+          border-color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #f2f2f2;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-dropdown a.navbar-item.is-active {
+          background-color: white;
+          color: #0a0a0a; } }
+    html.theme--documenter-dark .navbar.is-black {
+      background-color: #0a0a0a;
+      color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link {
+        color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link.is-active {
+        background-color: black;
+        color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link::after {
+        border-color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-burger {
+        color: white; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-black .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link {
+          color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link.is-active {
+          background-color: black;
+          color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link::after {
+          border-color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: black;
+          color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-dropdown a.navbar-item.is-active {
+          background-color: #0a0a0a;
+          color: white; } }
+    html.theme--documenter-dark .navbar.is-light {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link {
+        color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link.is-active {
+        background-color: #dde4e6;
+        color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link::after {
+        border-color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-burger {
+        color: #282f2f; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-light .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link {
+          color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link.is-active {
+          background-color: #dde4e6;
+          color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link::after {
+          border-color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #dde4e6;
+          color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-dropdown a.navbar-item.is-active {
+          background-color: #ecf0f1;
+          color: #282f2f; } }
+    html.theme--documenter-dark .navbar.is-dark, html.theme--documenter-dark .content kbd.navbar {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand > .navbar-item, html.theme--documenter-dark .content kbd.navbar .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link {
+        color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link.is-active,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link.is-active {
+        background-color: #1d2122;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link::after, html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link::after {
+        border-color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-burger, html.theme--documenter-dark .content kbd.navbar .navbar-burger {
+        color: #ecf0f1; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-dark .navbar-start > .navbar-item, html.theme--documenter-dark .content kbd.navbar .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > .navbar-item,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link {
+          color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link.is-active,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link.is-active {
+          background-color: #1d2122;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link::after, html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link::after,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link::after {
+          border-color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown.is-active .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #1d2122;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-dropdown a.navbar-item.is-active {
+          background-color: #282f2f;
+          color: #ecf0f1; } }
+    html.theme--documenter-dark .navbar.is-primary, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink {
+      background-color: #375a7f;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand > .navbar-item, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link.is-active,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link.is-active {
+        background-color: #2f4d6d;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link::after, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-burger, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-primary .navbar-start > .navbar-item, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > .navbar-item,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link.is-active,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link.is-active {
+          background-color: #2f4d6d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link::after, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link::after,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown.is-active .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #2f4d6d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active {
+          background-color: #375a7f;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-link {
+      background-color: #1abc9c;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link.is-active {
+        background-color: #17a689;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-link .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link.is-active {
+          background-color: #17a689;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #17a689;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-dropdown a.navbar-item.is-active {
+          background-color: #1abc9c;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-info {
+      background-color: #024c7d;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link.is-active {
+        background-color: #023d64;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-info .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link.is-active {
+          background-color: #023d64;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #023d64;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-dropdown a.navbar-item.is-active {
+          background-color: #024c7d;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-success {
+      background-color: #008438;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link.is-active {
+        background-color: #006b2d;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-success .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link.is-active {
+          background-color: #006b2d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #006b2d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-dropdown a.navbar-item.is-active {
+          background-color: #008438;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-warning {
+      background-color: #ad8100;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link.is-active {
+        background-color: #946e00;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-warning .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link.is-active {
+          background-color: #946e00;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #946e00;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-dropdown a.navbar-item.is-active {
+          background-color: #ad8100;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-danger {
+      background-color: #9e1b0d;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link.is-active {
+        background-color: #86170b;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-danger .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link.is-active {
+          background-color: #86170b;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #86170b;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-dropdown a.navbar-item.is-active {
+          background-color: #9e1b0d;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar > .container {
+      align-items: stretch;
+      display: flex;
+      min-height: 4rem;
+      width: 100%; }
+    html.theme--documenter-dark .navbar.has-shadow {
+      box-shadow: 0 2px 0 0 #282f2f; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom, html.theme--documenter-dark .navbar.is-fixed-top {
+      left: 0;
+      position: fixed;
+      right: 0;
+      z-index: 30; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom {
+      bottom: 0; }
+      html.theme--documenter-dark .navbar.is-fixed-bottom.has-shadow {
+        box-shadow: 0 -2px 0 0 #282f2f; }
+    html.theme--documenter-dark .navbar.is-fixed-top {
+      top: 0; }
+  html.theme--documenter-dark html.has-navbar-fixed-top,
+  html.theme--documenter-dark body.has-navbar-fixed-top {
+    padding-top: 4rem; }
+  html.theme--documenter-dark html.has-navbar-fixed-bottom,
+  html.theme--documenter-dark body.has-navbar-fixed-bottom {
+    padding-bottom: 4rem; }
+  html.theme--documenter-dark .navbar-brand,
+  html.theme--documenter-dark .navbar-tabs {
+    align-items: stretch;
+    display: flex;
+    flex-shrink: 0;
+    min-height: 4rem; }
+  html.theme--documenter-dark .navbar-brand a.navbar-item:focus, html.theme--documenter-dark .navbar-brand a.navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .navbar-tabs {
+    -webkit-overflow-scrolling: touch;
+    max-width: 100vw;
+    overflow-x: auto;
+    overflow-y: hidden; }
+  html.theme--documenter-dark .navbar-burger {
+    color: #fff;
+    cursor: pointer;
+    display: block;
+    height: 4rem;
+    position: relative;
+    width: 4rem;
+    margin-left: auto; }
+    html.theme--documenter-dark .navbar-burger span {
+      background-color: currentColor;
+      display: block;
+      height: 1px;
+      left: calc(50% - 8px);
+      position: absolute;
+      transform-origin: center;
+      transition-duration: 86ms;
+      transition-property: background-color, opacity, transform;
+      transition-timing-function: ease-out;
+      width: 16px; }
+      html.theme--documenter-dark .navbar-burger span:nth-child(1) {
+        top: calc(50% - 6px); }
+      html.theme--documenter-dark .navbar-burger span:nth-child(2) {
+        top: calc(50% - 1px); }
+      html.theme--documenter-dark .navbar-burger span:nth-child(3) {
+        top: calc(50% + 4px); }
+    html.theme--documenter-dark .navbar-burger:hover {
+      background-color: rgba(0, 0, 0, 0.05); }
+    html.theme--documenter-dark .navbar-burger.is-active span:nth-child(1) {
+      transform: translateY(5px) rotate(45deg); }
+    html.theme--documenter-dark .navbar-burger.is-active span:nth-child(2) {
+      opacity: 0; }
+    html.theme--documenter-dark .navbar-burger.is-active span:nth-child(3) {
+      transform: translateY(-5px) rotate(-45deg); }
+  html.theme--documenter-dark .navbar-menu {
+    display: none; }
+  html.theme--documenter-dark .navbar-item,
+  html.theme--documenter-dark .navbar-link {
+    color: #fff;
+    display: block;
+    line-height: 1.5;
+    padding: 0.5rem 0.75rem;
+    position: relative; }
+    html.theme--documenter-dark .navbar-item .icon:only-child,
+    html.theme--documenter-dark .navbar-link .icon:only-child {
+      margin-left: -0.25rem;
+      margin-right: -0.25rem; }
+  html.theme--documenter-dark a.navbar-item,
+  html.theme--documenter-dark .navbar-link {
+    cursor: pointer; }
+    html.theme--documenter-dark a.navbar-item:focus, html.theme--documenter-dark a.navbar-item:focus-within, html.theme--documenter-dark a.navbar-item:hover, html.theme--documenter-dark a.navbar-item.is-active,
+    html.theme--documenter-dark .navbar-link:focus,
+    html.theme--documenter-dark .navbar-link:focus-within,
+    html.theme--documenter-dark .navbar-link:hover,
+    html.theme--documenter-dark .navbar-link.is-active {
+      background-color: transparent;
+      color: #1abc9c; }
+  html.theme--documenter-dark .navbar-item {
+    display: block;
+    flex-grow: 0;
+    flex-shrink: 0; }
+    html.theme--documenter-dark .navbar-item img {
+      max-height: 1.75rem; }
+    html.theme--documenter-dark .navbar-item.has-dropdown {
+      padding: 0; }
+    html.theme--documenter-dark .navbar-item.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .navbar-item.is-tab {
+      border-bottom: 1px solid transparent;
+      min-height: 4rem;
+      padding-bottom: calc(0.5rem - 1px); }
+      html.theme--documenter-dark .navbar-item.is-tab:focus, html.theme--documenter-dark .navbar-item.is-tab:hover {
+        background-color: transparent;
+        border-bottom-color: #1abc9c; }
+      html.theme--documenter-dark .navbar-item.is-tab.is-active {
+        background-color: transparent;
+        border-bottom-color: #1abc9c;
+        border-bottom-style: solid;
+        border-bottom-width: 3px;
+        color: #1abc9c;
+        padding-bottom: calc(0.5rem - 3px); }
+  html.theme--documenter-dark .navbar-content {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  html.theme--documenter-dark .navbar-link:not(.is-arrowless) {
+    padding-right: 2.5em; }
+    html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after {
+      border-color: #fff;
+      margin-top: -0.375em;
+      right: 1.125em; }
+  html.theme--documenter-dark .navbar-dropdown {
+    font-size: 0.875rem;
+    padding-bottom: 0.5rem;
+    padding-top: 0.5rem; }
+    html.theme--documenter-dark .navbar-dropdown .navbar-item {
+      padding-left: 1.5rem;
+      padding-right: 1.5rem; }
+  html.theme--documenter-dark .navbar-divider {
+    background-color: rgba(0, 0, 0, 0.2);
+    border: none;
+    display: none;
+    height: 2px;
+    margin: 0.5rem 0; }
+  @media screen and (max-width: 1055px) {
+    html.theme--documenter-dark .navbar > .container {
+      display: block; }
+    html.theme--documenter-dark .navbar-brand .navbar-item,
+    html.theme--documenter-dark .navbar-tabs .navbar-item {
+      align-items: center;
+      display: flex; }
+    html.theme--documenter-dark .navbar-link::after {
+      display: none; }
+    html.theme--documenter-dark .navbar-menu {
+      background-color: #375a7f;
+      box-shadow: 0 8px 16px rgba(10, 10, 10, 0.1);
+      padding: 0.5rem 0; }
+      html.theme--documenter-dark .navbar-menu.is-active {
+        display: block; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-touch, html.theme--documenter-dark .navbar.is-fixed-top-touch {
+      left: 0;
+      position: fixed;
+      right: 0;
+      z-index: 30; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-touch {
+      bottom: 0; }
+      html.theme--documenter-dark .navbar.is-fixed-bottom-touch.has-shadow {
+        box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+    html.theme--documenter-dark .navbar.is-fixed-top-touch {
+      top: 0; }
+    html.theme--documenter-dark .navbar.is-fixed-top .navbar-menu, html.theme--documenter-dark .navbar.is-fixed-top-touch .navbar-menu {
+      -webkit-overflow-scrolling: touch;
+      max-height: calc(100vh - 4rem);
+      overflow: auto; }
+    html.theme--documenter-dark html.has-navbar-fixed-top-touch,
+    html.theme--documenter-dark body.has-navbar-fixed-top-touch {
+      padding-top: 4rem; }
+    html.theme--documenter-dark html.has-navbar-fixed-bottom-touch,
+    html.theme--documenter-dark body.has-navbar-fixed-bottom-touch {
+      padding-bottom: 4rem; } }
+  @media screen and (min-width: 1056px) {
+    html.theme--documenter-dark .navbar,
+    html.theme--documenter-dark .navbar-menu,
+    html.theme--documenter-dark .navbar-start,
+    html.theme--documenter-dark .navbar-end {
+      align-items: stretch;
+      display: flex; }
+    html.theme--documenter-dark .navbar {
+      min-height: 4rem; }
+      html.theme--documenter-dark .navbar.is-spaced {
+        padding: 1rem 2rem; }
+        html.theme--documenter-dark .navbar.is-spaced .navbar-start,
+        html.theme--documenter-dark .navbar.is-spaced .navbar-end {
+          align-items: center; }
+        html.theme--documenter-dark .navbar.is-spaced a.navbar-item,
+        html.theme--documenter-dark .navbar.is-spaced .navbar-link {
+          border-radius: 0.4em; }
+      html.theme--documenter-dark .navbar.is-transparent a.navbar-item:focus, html.theme--documenter-dark .navbar.is-transparent a.navbar-item:hover, html.theme--documenter-dark .navbar.is-transparent a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-transparent .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-transparent .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-transparent .navbar-link.is-active {
+        background-color: transparent !important; }
+      html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-active .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus-within .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:hover .navbar-link {
+        background-color: transparent !important; }
+      html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item:focus, html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item:hover {
+        background-color: transparent;
+        color: #dbdee0; }
+      html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item.is-active {
+        background-color: transparent;
+        color: #1abc9c; }
+    html.theme--documenter-dark .navbar-burger {
+      display: none; }
+    html.theme--documenter-dark .navbar-item,
+    html.theme--documenter-dark .navbar-link {
+      align-items: center;
+      display: flex; }
+    html.theme--documenter-dark .navbar-item {
+      display: flex; }
+      html.theme--documenter-dark .navbar-item.has-dropdown {
+        align-items: stretch; }
+      html.theme--documenter-dark .navbar-item.has-dropdown-up .navbar-link::after {
+        transform: rotate(135deg) translate(0.25em, -0.25em); }
+      html.theme--documenter-dark .navbar-item.has-dropdown-up .navbar-dropdown {
+        border-bottom: 1px solid rgba(0, 0, 0, 0.2);
+        border-radius: 8px 8px 0 0;
+        border-top: none;
+        bottom: 100%;
+        box-shadow: 0 -8px 8px rgba(10, 10, 10, 0.1);
+        top: auto; }
+      html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown {
+        display: block; }
+        .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed {
+          opacity: 1;
+          pointer-events: auto;
+          transform: translateY(0); }
+    html.theme--documenter-dark .navbar-menu {
+      flex-grow: 1;
+      flex-shrink: 0; }
+    html.theme--documenter-dark .navbar-start {
+      justify-content: flex-start;
+      margin-right: auto; }
+    html.theme--documenter-dark .navbar-end {
+      justify-content: flex-end;
+      margin-left: auto; }
+    html.theme--documenter-dark .navbar-dropdown {
+      background-color: #375a7f;
+      border-bottom-left-radius: 8px;
+      border-bottom-right-radius: 8px;
+      border-top: 1px solid rgba(0, 0, 0, 0.2);
+      box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1);
+      display: none;
+      font-size: 0.875rem;
+      left: 0;
+      min-width: 100%;
+      position: absolute;
+      top: 100%;
+      z-index: 20; }
+      html.theme--documenter-dark .navbar-dropdown .navbar-item {
+        padding: 0.375rem 1rem;
+        white-space: nowrap; }
+      html.theme--documenter-dark .navbar-dropdown a.navbar-item {
+        padding-right: 3rem; }
+        html.theme--documenter-dark .navbar-dropdown a.navbar-item:focus, html.theme--documenter-dark .navbar-dropdown a.navbar-item:hover {
+          background-color: transparent;
+          color: #dbdee0; }
+        html.theme--documenter-dark .navbar-dropdown a.navbar-item.is-active {
+          background-color: transparent;
+          color: #1abc9c; }
+      .navbar.is-spaced html.theme--documenter-dark .navbar-dropdown, html.theme--documenter-dark .navbar-dropdown.is-boxed {
+        border-radius: 8px;
+        border-top: none;
+        box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+        display: block;
+        opacity: 0;
+        pointer-events: none;
+        top: calc(100% + (-4px));
+        transform: translateY(-5px);
+        transition-duration: 86ms;
+        transition-property: opacity, transform; }
+      html.theme--documenter-dark .navbar-dropdown.is-right {
+        left: auto;
+        right: 0; }
+    html.theme--documenter-dark .navbar-divider {
+      display: block; }
+    html.theme--documenter-dark .navbar > .container .navbar-brand,
+    html.theme--documenter-dark .container > .navbar .navbar-brand {
+      margin-left: -.75rem; }
+    html.theme--documenter-dark .navbar > .container .navbar-menu,
+    html.theme--documenter-dark .container > .navbar .navbar-menu {
+      margin-right: -.75rem; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-desktop, html.theme--documenter-dark .navbar.is-fixed-top-desktop {
+      left: 0;
+      position: fixed;
+      right: 0;
+      z-index: 30; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-desktop {
+      bottom: 0; }
+      html.theme--documenter-dark .navbar.is-fixed-bottom-desktop.has-shadow {
+        box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+    html.theme--documenter-dark .navbar.is-fixed-top-desktop {
+      top: 0; }
+    html.theme--documenter-dark html.has-navbar-fixed-top-desktop,
+    html.theme--documenter-dark body.has-navbar-fixed-top-desktop {
+      padding-top: 4rem; }
+    html.theme--documenter-dark html.has-navbar-fixed-bottom-desktop,
+    html.theme--documenter-dark body.has-navbar-fixed-bottom-desktop {
+      padding-bottom: 4rem; }
+    html.theme--documenter-dark html.has-spaced-navbar-fixed-top,
+    html.theme--documenter-dark body.has-spaced-navbar-fixed-top {
+      padding-top: 6rem; }
+    html.theme--documenter-dark html.has-spaced-navbar-fixed-bottom,
+    html.theme--documenter-dark body.has-spaced-navbar-fixed-bottom {
+      padding-bottom: 6rem; }
+    html.theme--documenter-dark a.navbar-item.is-active,
+    html.theme--documenter-dark .navbar-link.is-active {
+      color: #1abc9c; }
+    html.theme--documenter-dark a.navbar-item.is-active:not(:focus):not(:hover),
+    html.theme--documenter-dark .navbar-link.is-active:not(:focus):not(:hover) {
+      background-color: transparent; }
+    html.theme--documenter-dark .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .navbar-item.has-dropdown:hover .navbar-link, html.theme--documenter-dark .navbar-item.has-dropdown.is-active .navbar-link {
+      background-color: transparent; } }
+  html.theme--documenter-dark .hero.is-fullheight-with-navbar {
+    min-height: calc(100vh - 4rem); }
+  html.theme--documenter-dark .pagination {
+    font-size: 15px;
+    margin: -0.25rem; }
+    html.theme--documenter-dark .pagination.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .pagination.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .pagination.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .pagination.is-rounded .pagination-previous, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-previous,
+    html.theme--documenter-dark .pagination.is-rounded .pagination-next,
+    html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-next {
+      padding-left: 1em;
+      padding-right: 1em;
+      border-radius: 290486px; }
+    html.theme--documenter-dark .pagination.is-rounded .pagination-link, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-link {
+      border-radius: 290486px; }
+  html.theme--documenter-dark .pagination,
+  html.theme--documenter-dark .pagination-list {
+    align-items: center;
+    display: flex;
+    justify-content: center;
+    text-align: center; }
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark .pagination-ellipsis {
+    font-size: 1em;
+    justify-content: center;
+    margin: 0.25rem;
+    padding-left: 0.5em;
+    padding-right: 0.5em;
+    text-align: center; }
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-link {
+    border-color: #5e6d6f;
+    color: #1abc9c;
+    min-width: 2.25em; }
+    html.theme--documenter-dark .pagination-previous:hover,
+    html.theme--documenter-dark .pagination-next:hover,
+    html.theme--documenter-dark .pagination-link:hover {
+      border-color: #8c9b9d;
+      color: #1dd2af; }
+    html.theme--documenter-dark .pagination-previous:focus,
+    html.theme--documenter-dark .pagination-next:focus,
+    html.theme--documenter-dark .pagination-link:focus {
+      border-color: #8c9b9d; }
+    html.theme--documenter-dark .pagination-previous:active,
+    html.theme--documenter-dark .pagination-next:active,
+    html.theme--documenter-dark .pagination-link:active {
+      box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2); }
+    html.theme--documenter-dark .pagination-previous[disabled],
+    html.theme--documenter-dark .pagination-next[disabled],
+    html.theme--documenter-dark .pagination-link[disabled] {
+      background-color: #dbdee0;
+      border-color: #dbdee0;
+      box-shadow: none;
+      color: #5e6d6f;
+      opacity: 0.5; }
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .pagination-next {
+    padding-left: 0.75em;
+    padding-right: 0.75em;
+    white-space: nowrap; }
+  html.theme--documenter-dark .pagination-link.is-current {
+    background-color: #1abc9c;
+    border-color: #1abc9c;
+    color: #fff; }
+  html.theme--documenter-dark .pagination-ellipsis {
+    color: #8c9b9d;
+    pointer-events: none; }
+  html.theme--documenter-dark .pagination-list {
+    flex-wrap: wrap; }
+  @media screen and (max-width: 768px) {
+    html.theme--documenter-dark .pagination {
+      flex-wrap: wrap; }
+    html.theme--documenter-dark .pagination-previous,
+    html.theme--documenter-dark .pagination-next {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .pagination-list li {
+      flex-grow: 1;
+      flex-shrink: 1; } }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .pagination-list {
+      flex-grow: 1;
+      flex-shrink: 1;
+      justify-content: flex-start;
+      order: 1; }
+    html.theme--documenter-dark .pagination-previous {
+      order: 2; }
+    html.theme--documenter-dark .pagination-next {
+      order: 3; }
+    html.theme--documenter-dark .pagination {
+      justify-content: space-between; }
+      html.theme--documenter-dark .pagination.is-centered .pagination-previous {
+        order: 1; }
+      html.theme--documenter-dark .pagination.is-centered .pagination-list {
+        justify-content: center;
+        order: 2; }
+      html.theme--documenter-dark .pagination.is-centered .pagination-next {
+        order: 3; }
+      html.theme--documenter-dark .pagination.is-right .pagination-previous {
+        order: 1; }
+      html.theme--documenter-dark .pagination.is-right .pagination-next {
+        order: 2; }
+      html.theme--documenter-dark .pagination.is-right .pagination-list {
+        justify-content: flex-end;
+        order: 3; } }
+  html.theme--documenter-dark .panel {
+    font-size: 15px; }
+    html.theme--documenter-dark .panel:not(:last-child) {
+      margin-bottom: 1.5rem; }
+  html.theme--documenter-dark .panel-heading,
+  html.theme--documenter-dark .panel-tabs,
+  html.theme--documenter-dark .panel-block {
+    border-bottom: 1px solid #5e6d6f;
+    border-left: 1px solid #5e6d6f;
+    border-right: 1px solid #5e6d6f; }
+    html.theme--documenter-dark .panel-heading:first-child,
+    html.theme--documenter-dark .panel-tabs:first-child,
+    html.theme--documenter-dark .panel-block:first-child {
+      border-top: 1px solid #5e6d6f; }
+  html.theme--documenter-dark .panel-heading {
+    background-color: #282f2f;
+    border-radius: 0.4em 0.4em 0 0;
+    color: #f2f2f2;
+    font-size: 1.25em;
+    font-weight: 300;
+    line-height: 1.25;
+    padding: 0.5em 0.75em; }
+  html.theme--documenter-dark .panel-tabs {
+    align-items: flex-end;
+    display: flex;
+    font-size: 0.875em;
+    justify-content: center; }
+    html.theme--documenter-dark .panel-tabs a {
+      border-bottom: 1px solid #5e6d6f;
+      margin-bottom: -1px;
+      padding: 0.5em; }
+      html.theme--documenter-dark .panel-tabs a.is-active {
+        border-bottom-color: #343c3d;
+        color: #17a689; }
+  html.theme--documenter-dark .panel-list a {
+    color: #fff; }
+    html.theme--documenter-dark .panel-list a:hover {
+      color: #1abc9c; }
+  html.theme--documenter-dark .panel-block {
+    align-items: center;
+    color: #f2f2f2;
+    display: flex;
+    justify-content: flex-start;
+    padding: 0.5em 0.75em; }
+    html.theme--documenter-dark .panel-block input[type="checkbox"] {
+      margin-right: 0.75em; }
+    html.theme--documenter-dark .panel-block > .control {
+      flex-grow: 1;
+      flex-shrink: 1;
+      width: 100%; }
+    html.theme--documenter-dark .panel-block.is-wrapped {
+      flex-wrap: wrap; }
+    html.theme--documenter-dark .panel-block.is-active {
+      border-left-color: #1abc9c;
+      color: #17a689; }
+      html.theme--documenter-dark .panel-block.is-active .panel-icon {
+        color: #1abc9c; }
+  html.theme--documenter-dark a.panel-block,
+  html.theme--documenter-dark label.panel-block {
+    cursor: pointer; }
+    html.theme--documenter-dark a.panel-block:hover,
+    html.theme--documenter-dark label.panel-block:hover {
+      background-color: #282f2f; }
+  html.theme--documenter-dark .panel-icon {
+    display: inline-block;
+    font-size: 14px;
+    height: 1em;
+    line-height: 1em;
+    text-align: center;
+    vertical-align: top;
+    width: 1em;
+    color: white;
+    margin-right: 0.75em; }
+    html.theme--documenter-dark .panel-icon .fa {
+      font-size: inherit;
+      line-height: inherit; }
+  html.theme--documenter-dark .tabs {
+    -webkit-overflow-scrolling: touch;
+    align-items: stretch;
+    display: flex;
+    font-size: 15px;
+    justify-content: space-between;
+    overflow: hidden;
+    overflow-x: auto;
+    white-space: nowrap; }
+    html.theme--documenter-dark .tabs a {
+      align-items: center;
+      border-bottom-color: #5e6d6f;
+      border-bottom-style: solid;
+      border-bottom-width: 1px;
+      color: #fff;
+      display: flex;
+      justify-content: center;
+      margin-bottom: -1px;
+      padding: 0.5em 1em;
+      vertical-align: top; }
+      html.theme--documenter-dark .tabs a:hover {
+        border-bottom-color: #f2f2f2;
+        color: #f2f2f2; }
+    html.theme--documenter-dark .tabs li {
+      display: block; }
+      html.theme--documenter-dark .tabs li.is-active a {
+        border-bottom-color: #1abc9c;
+        color: #1abc9c; }
+    html.theme--documenter-dark .tabs ul {
+      align-items: center;
+      border-bottom-color: #5e6d6f;
+      border-bottom-style: solid;
+      border-bottom-width: 1px;
+      display: flex;
+      flex-grow: 1;
+      flex-shrink: 0;
+      justify-content: flex-start; }
+      html.theme--documenter-dark .tabs ul.is-left {
+        padding-right: 0.75em; }
+      html.theme--documenter-dark .tabs ul.is-center {
+        flex: none;
+        justify-content: center;
+        padding-left: 0.75em;
+        padding-right: 0.75em; }
+      html.theme--documenter-dark .tabs ul.is-right {
+        justify-content: flex-end;
+        padding-left: 0.75em; }
+    html.theme--documenter-dark .tabs .icon:first-child {
+      margin-right: 0.5em; }
+    html.theme--documenter-dark .tabs .icon:last-child {
+      margin-left: 0.5em; }
+    html.theme--documenter-dark .tabs.is-centered ul {
+      justify-content: center; }
+    html.theme--documenter-dark .tabs.is-right ul {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .tabs.is-boxed a {
+      border: 1px solid transparent;
+      border-radius: 0.4em 0.4em 0 0; }
+      html.theme--documenter-dark .tabs.is-boxed a:hover {
+        background-color: #282f2f;
+        border-bottom-color: #5e6d6f; }
+    html.theme--documenter-dark .tabs.is-boxed li.is-active a {
+      background-color: white;
+      border-color: #5e6d6f;
+      border-bottom-color: transparent !important; }
+    html.theme--documenter-dark .tabs.is-fullwidth li {
+      flex-grow: 1;
+      flex-shrink: 0; }
+    html.theme--documenter-dark .tabs.is-toggle a {
+      border-color: #5e6d6f;
+      border-style: solid;
+      border-width: 1px;
+      margin-bottom: 0;
+      position: relative; }
+      html.theme--documenter-dark .tabs.is-toggle a:hover {
+        background-color: #282f2f;
+        border-color: #8c9b9d;
+        z-index: 2; }
+    html.theme--documenter-dark .tabs.is-toggle li + li {
+      margin-left: -1px; }
+    html.theme--documenter-dark .tabs.is-toggle li:first-child a {
+      border-radius: 0.4em 0 0 0.4em; }
+    html.theme--documenter-dark .tabs.is-toggle li:last-child a {
+      border-radius: 0 0.4em 0.4em 0; }
+    html.theme--documenter-dark .tabs.is-toggle li.is-active a {
+      background-color: #1abc9c;
+      border-color: #1abc9c;
+      color: #fff;
+      z-index: 1; }
+    html.theme--documenter-dark .tabs.is-toggle ul {
+      border-bottom: none; }
+    html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:first-child a {
+      border-bottom-left-radius: 290486px;
+      border-top-left-radius: 290486px;
+      padding-left: 1.25em; }
+    html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:last-child a {
+      border-bottom-right-radius: 290486px;
+      border-top-right-radius: 290486px;
+      padding-right: 1.25em; }
+    html.theme--documenter-dark .tabs.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.tabs {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .tabs.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .tabs.is-large {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .column {
+    display: block;
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 1;
+    padding: 0.75rem; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-narrow {
+      flex: none; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-full {
+      flex: none;
+      width: 100%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-three-quarters {
+      flex: none;
+      width: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-two-thirds {
+      flex: none;
+      width: 66.6666%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-half {
+      flex: none;
+      width: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-one-third {
+      flex: none;
+      width: 33.3333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-one-quarter {
+      flex: none;
+      width: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-one-fifth {
+      flex: none;
+      width: 20%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-two-fifths {
+      flex: none;
+      width: 40%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-three-fifths {
+      flex: none;
+      width: 60%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-four-fifths {
+      flex: none;
+      width: 80%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-three-quarters {
+      margin-left: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-two-thirds {
+      margin-left: 66.6666%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-half {
+      margin-left: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-third {
+      margin-left: 33.3333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-quarter {
+      margin-left: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-fifth {
+      margin-left: 20%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-two-fifths {
+      margin-left: 40%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-three-fifths {
+      margin-left: 60%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-four-fifths {
+      margin-left: 80%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-0 {
+      flex: none;
+      width: 0%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-0 {
+      margin-left: 0%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-1 {
+      flex: none;
+      width: 8.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-1 {
+      margin-left: 8.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-2 {
+      flex: none;
+      width: 16.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-2 {
+      margin-left: 16.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-3 {
+      flex: none;
+      width: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-3 {
+      margin-left: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-4 {
+      flex: none;
+      width: 33.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-4 {
+      margin-left: 33.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-5 {
+      flex: none;
+      width: 41.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-5 {
+      margin-left: 41.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-6 {
+      flex: none;
+      width: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-6 {
+      margin-left: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-7 {
+      flex: none;
+      width: 58.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-7 {
+      margin-left: 58.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-8 {
+      flex: none;
+      width: 66.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-8 {
+      margin-left: 66.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-9 {
+      flex: none;
+      width: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-9 {
+      margin-left: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-10 {
+      flex: none;
+      width: 83.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-10 {
+      margin-left: 83.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-11 {
+      flex: none;
+      width: 91.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-11 {
+      margin-left: 91.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-12 {
+      flex: none;
+      width: 100%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-12 {
+      margin-left: 100%; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .column.is-narrow-mobile {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-mobile {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-mobile {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-mobile {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-mobile {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-mobile {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-mobile {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-mobile {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-mobile {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-mobile {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-mobile {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-mobile {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-mobile {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-mobile {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-mobile {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-mobile {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-mobile {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-mobile {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-mobile {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-mobile {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-mobile {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-mobile {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-mobile {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-mobile {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-mobile {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-mobile {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-mobile {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-mobile {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-mobile {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-mobile {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-mobile {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-mobile {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-mobile {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-mobile {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-mobile {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-mobile {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-mobile {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-mobile {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-mobile {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-mobile {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-mobile {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-mobile {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-mobile {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-mobile {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-mobile {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-mobile {
+        margin-left: 100%; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .column.is-narrow, html.theme--documenter-dark .column.is-narrow-tablet {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full, html.theme--documenter-dark .column.is-full-tablet {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters, html.theme--documenter-dark .column.is-three-quarters-tablet {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds, html.theme--documenter-dark .column.is-two-thirds-tablet {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half, html.theme--documenter-dark .column.is-half-tablet {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third, html.theme--documenter-dark .column.is-one-third-tablet {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter, html.theme--documenter-dark .column.is-one-quarter-tablet {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth, html.theme--documenter-dark .column.is-one-fifth-tablet {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths, html.theme--documenter-dark .column.is-two-fifths-tablet {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths, html.theme--documenter-dark .column.is-three-fifths-tablet {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths, html.theme--documenter-dark .column.is-four-fifths-tablet {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters, html.theme--documenter-dark .column.is-offset-three-quarters-tablet {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds, html.theme--documenter-dark .column.is-offset-two-thirds-tablet {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half, html.theme--documenter-dark .column.is-offset-half-tablet {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third, html.theme--documenter-dark .column.is-offset-one-third-tablet {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter, html.theme--documenter-dark .column.is-offset-one-quarter-tablet {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth, html.theme--documenter-dark .column.is-offset-one-fifth-tablet {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths, html.theme--documenter-dark .column.is-offset-two-fifths-tablet {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths, html.theme--documenter-dark .column.is-offset-three-fifths-tablet {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths, html.theme--documenter-dark .column.is-offset-four-fifths-tablet {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0, html.theme--documenter-dark .column.is-0-tablet {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0, html.theme--documenter-dark .column.is-offset-0-tablet {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1, html.theme--documenter-dark .column.is-1-tablet {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1, html.theme--documenter-dark .column.is-offset-1-tablet {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2, html.theme--documenter-dark .column.is-2-tablet {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2, html.theme--documenter-dark .column.is-offset-2-tablet {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3, html.theme--documenter-dark .column.is-3-tablet {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3, html.theme--documenter-dark .column.is-offset-3-tablet {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4, html.theme--documenter-dark .column.is-4-tablet {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4, html.theme--documenter-dark .column.is-offset-4-tablet {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5, html.theme--documenter-dark .column.is-5-tablet {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5, html.theme--documenter-dark .column.is-offset-5-tablet {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6, html.theme--documenter-dark .column.is-6-tablet {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6, html.theme--documenter-dark .column.is-offset-6-tablet {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7, html.theme--documenter-dark .column.is-7-tablet {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7, html.theme--documenter-dark .column.is-offset-7-tablet {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8, html.theme--documenter-dark .column.is-8-tablet {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8, html.theme--documenter-dark .column.is-offset-8-tablet {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9, html.theme--documenter-dark .column.is-9-tablet {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9, html.theme--documenter-dark .column.is-offset-9-tablet {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10, html.theme--documenter-dark .column.is-10-tablet {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10, html.theme--documenter-dark .column.is-offset-10-tablet {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11, html.theme--documenter-dark .column.is-11-tablet {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11, html.theme--documenter-dark .column.is-offset-11-tablet {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12, html.theme--documenter-dark .column.is-12-tablet {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12, html.theme--documenter-dark .column.is-offset-12-tablet {
+        margin-left: 100%; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .column.is-narrow-touch {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-touch {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-touch {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-touch {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-touch {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-touch {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-touch {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-touch {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-touch {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-touch {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-touch {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-touch {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-touch {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-touch {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-touch {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-touch {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-touch {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-touch {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-touch {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-touch {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-touch {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-touch {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-touch {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-touch {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-touch {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-touch {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-touch {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-touch {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-touch {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-touch {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-touch {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-touch {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-touch {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-touch {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-touch {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-touch {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-touch {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-touch {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-touch {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-touch {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-touch {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-touch {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-touch {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-touch {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-touch {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-touch {
+        margin-left: 100%; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .column.is-narrow-desktop {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-desktop {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-desktop {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-desktop {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-desktop {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-desktop {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-desktop {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-desktop {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-desktop {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-desktop {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-desktop {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-desktop {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-desktop {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-desktop {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-desktop {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-desktop {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-desktop {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-desktop {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-desktop {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-desktop {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-desktop {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-desktop {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-desktop {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-desktop {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-desktop {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-desktop {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-desktop {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-desktop {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-desktop {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-desktop {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-desktop {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-desktop {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-desktop {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-desktop {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-desktop {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-desktop {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-desktop {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-desktop {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-desktop {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-desktop {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-desktop {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-desktop {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-desktop {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-desktop {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-desktop {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-desktop {
+        margin-left: 100%; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .column.is-narrow-widescreen {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-widescreen {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-widescreen {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-widescreen {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-widescreen {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-widescreen {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-widescreen {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-widescreen {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-widescreen {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-widescreen {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-widescreen {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-widescreen {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-widescreen {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-widescreen {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-widescreen {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-widescreen {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-widescreen {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-widescreen {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-widescreen {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-widescreen {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-widescreen {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-widescreen {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-widescreen {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-widescreen {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-widescreen {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-widescreen {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-widescreen {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-widescreen {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-widescreen {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-widescreen {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-widescreen {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-widescreen {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-widescreen {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-widescreen {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-widescreen {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-widescreen {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-widescreen {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-widescreen {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-widescreen {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-widescreen {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-widescreen {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-widescreen {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-widescreen {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-widescreen {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-widescreen {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-widescreen {
+        margin-left: 100%; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .column.is-narrow-fullhd {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-fullhd {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-fullhd {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-fullhd {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-fullhd {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-fullhd {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-fullhd {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-fullhd {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-fullhd {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-fullhd {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-fullhd {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-fullhd {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-fullhd {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-fullhd {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-fullhd {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-fullhd {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-fullhd {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-fullhd {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-fullhd {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-fullhd {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-fullhd {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-fullhd {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-fullhd {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-fullhd {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-fullhd {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-fullhd {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-fullhd {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-fullhd {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-fullhd {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-fullhd {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-fullhd {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-fullhd {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-fullhd {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-fullhd {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-fullhd {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-fullhd {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-fullhd {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-fullhd {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-fullhd {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-fullhd {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-fullhd {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-fullhd {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-fullhd {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-fullhd {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-fullhd {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-fullhd {
+        margin-left: 100%; } }
+  html.theme--documenter-dark .columns {
+    margin-left: -0.75rem;
+    margin-right: -0.75rem;
+    margin-top: -0.75rem; }
+    html.theme--documenter-dark .columns:last-child {
+      margin-bottom: -0.75rem; }
+    html.theme--documenter-dark .columns:not(:last-child) {
+      margin-bottom: calc(1.5rem - 0.75rem); }
+    html.theme--documenter-dark .columns.is-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .columns.is-gapless {
+      margin-left: 0;
+      margin-right: 0;
+      margin-top: 0; }
+      html.theme--documenter-dark .columns.is-gapless > .column {
+        margin: 0;
+        padding: 0 !important; }
+      html.theme--documenter-dark .columns.is-gapless:not(:last-child) {
+        margin-bottom: 1.5rem; }
+      html.theme--documenter-dark .columns.is-gapless:last-child {
+        margin-bottom: 0; }
+    html.theme--documenter-dark .columns.is-mobile {
+      display: flex; }
+    html.theme--documenter-dark .columns.is-multiline {
+      flex-wrap: wrap; }
+    html.theme--documenter-dark .columns.is-vcentered {
+      align-items: center; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns:not(.is-desktop) {
+        display: flex; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-desktop {
+        display: flex; } }
+  html.theme--documenter-dark .columns.is-variable {
+    --columnGap: 0.75rem;
+    margin-left: calc(-1 * var(--columnGap));
+    margin-right: calc(-1 * var(--columnGap)); }
+    html.theme--documenter-dark .columns.is-variable .column {
+      padding-left: var(--columnGap);
+      padding-right: var(--columnGap); }
+    html.theme--documenter-dark .columns.is-variable.is-0 {
+      --columnGap: 0rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-mobile {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-0-tablet {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-tablet-only {
+        --columnGap: 0rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-touch {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-desktop {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-desktop-only {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-widescreen {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-widescreen-only {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-fullhd {
+        --columnGap: 0rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-1 {
+      --columnGap: 0.25rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-mobile {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-1-tablet {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-tablet-only {
+        --columnGap: 0.25rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-touch {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-desktop {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-desktop-only {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-widescreen {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-widescreen-only {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-fullhd {
+        --columnGap: 0.25rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-2 {
+      --columnGap: 0.5rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-mobile {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-2-tablet {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-tablet-only {
+        --columnGap: 0.5rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-touch {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-desktop {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-desktop-only {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-widescreen {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-widescreen-only {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-fullhd {
+        --columnGap: 0.5rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-3 {
+      --columnGap: 0.75rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-mobile {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-3-tablet {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-tablet-only {
+        --columnGap: 0.75rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-touch {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-desktop {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-desktop-only {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-widescreen {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-widescreen-only {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-fullhd {
+        --columnGap: 0.75rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-4 {
+      --columnGap: 1rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-mobile {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-4-tablet {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-tablet-only {
+        --columnGap: 1rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-touch {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-desktop {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-desktop-only {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-widescreen {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-widescreen-only {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-fullhd {
+        --columnGap: 1rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-5 {
+      --columnGap: 1.25rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-mobile {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-5-tablet {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-tablet-only {
+        --columnGap: 1.25rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-touch {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-desktop {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-desktop-only {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-widescreen {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-widescreen-only {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-fullhd {
+        --columnGap: 1.25rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-6 {
+      --columnGap: 1.5rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-mobile {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-6-tablet {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-tablet-only {
+        --columnGap: 1.5rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-touch {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-desktop {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-desktop-only {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-widescreen {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-widescreen-only {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-fullhd {
+        --columnGap: 1.5rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-7 {
+      --columnGap: 1.75rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-mobile {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-7-tablet {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-tablet-only {
+        --columnGap: 1.75rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-touch {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-desktop {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-desktop-only {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-widescreen {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-widescreen-only {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-fullhd {
+        --columnGap: 1.75rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-8 {
+      --columnGap: 2rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-mobile {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-8-tablet {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-tablet-only {
+        --columnGap: 2rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-touch {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-desktop {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-desktop-only {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-widescreen {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-widescreen-only {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-fullhd {
+        --columnGap: 2rem; } }
+  html.theme--documenter-dark .tile {
+    align-items: stretch;
+    display: block;
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 1;
+    min-height: min-content; }
+    html.theme--documenter-dark .tile.is-ancestor {
+      margin-left: -0.75rem;
+      margin-right: -0.75rem;
+      margin-top: -0.75rem; }
+      html.theme--documenter-dark .tile.is-ancestor:last-child {
+        margin-bottom: -0.75rem; }
+      html.theme--documenter-dark .tile.is-ancestor:not(:last-child) {
+        margin-bottom: 0.75rem; }
+    html.theme--documenter-dark .tile.is-child {
+      margin: 0 !important; }
+    html.theme--documenter-dark .tile.is-parent {
+      padding: 0.75rem; }
+    html.theme--documenter-dark .tile.is-vertical {
+      flex-direction: column; }
+      html.theme--documenter-dark .tile.is-vertical > .tile.is-child:not(:last-child) {
+        margin-bottom: 1.5rem !important; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .tile:not(.is-child) {
+        display: flex; }
+      html.theme--documenter-dark .tile.is-1 {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .tile.is-2 {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .tile.is-3 {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .tile.is-4 {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .tile.is-5 {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .tile.is-6 {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .tile.is-7 {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .tile.is-8 {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .tile.is-9 {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .tile.is-10 {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .tile.is-11 {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .tile.is-12 {
+        flex: none;
+        width: 100%; } }
+  html.theme--documenter-dark .hero {
+    align-items: stretch;
+    display: flex;
+    flex-direction: column;
+    justify-content: space-between; }
+    html.theme--documenter-dark .hero .navbar {
+      background: none; }
+    html.theme--documenter-dark .hero .tabs ul {
+      border-bottom: none; }
+    html.theme--documenter-dark .hero.is-white {
+      background-color: white;
+      color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-white a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-white strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-white .title {
+        color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-white .subtitle {
+        color: rgba(10, 10, 10, 0.9); }
+        html.theme--documenter-dark .hero.is-white .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-white .subtitle strong {
+          color: #0a0a0a; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-white .navbar-menu {
+          background-color: white; } }
+      html.theme--documenter-dark .hero.is-white .navbar-item,
+      html.theme--documenter-dark .hero.is-white .navbar-link {
+        color: rgba(10, 10, 10, 0.7); }
+      html.theme--documenter-dark .hero.is-white a.navbar-item:hover, html.theme--documenter-dark .hero.is-white a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-white .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-white .navbar-link.is-active {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-white .tabs a {
+        color: #0a0a0a;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-white .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-white .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-white .tabs.is-boxed a, html.theme--documenter-dark .hero.is-white .tabs.is-toggle a {
+        color: #0a0a0a; }
+        html.theme--documenter-dark .hero.is-white .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-white .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-white .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-white .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-white .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-white .tabs.is-toggle li.is-active a:hover {
+        background-color: #0a0a0a;
+        border-color: #0a0a0a;
+        color: white; }
+      html.theme--documenter-dark .hero.is-white.is-bold {
+        background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-white.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); } }
+    html.theme--documenter-dark .hero.is-black {
+      background-color: #0a0a0a;
+      color: white; }
+      html.theme--documenter-dark .hero.is-black a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-black strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-black .title {
+        color: white; }
+      html.theme--documenter-dark .hero.is-black .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-black .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-black .subtitle strong {
+          color: white; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-black .navbar-menu {
+          background-color: #0a0a0a; } }
+      html.theme--documenter-dark .hero.is-black .navbar-item,
+      html.theme--documenter-dark .hero.is-black .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-black a.navbar-item:hover, html.theme--documenter-dark .hero.is-black a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-black .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-black .navbar-link.is-active {
+        background-color: black;
+        color: white; }
+      html.theme--documenter-dark .hero.is-black .tabs a {
+        color: white;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-black .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-black .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-black .tabs.is-boxed a, html.theme--documenter-dark .hero.is-black .tabs.is-toggle a {
+        color: white; }
+        html.theme--documenter-dark .hero.is-black .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-black .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-black .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-black .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-black .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-black .tabs.is-toggle li.is-active a:hover {
+        background-color: white;
+        border-color: white;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-black.is-bold {
+        background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-black.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } }
+    html.theme--documenter-dark .hero.is-light {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+      html.theme--documenter-dark .hero.is-light a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-light strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-light .title {
+        color: #282f2f; }
+      html.theme--documenter-dark .hero.is-light .subtitle {
+        color: rgba(40, 47, 47, 0.9); }
+        html.theme--documenter-dark .hero.is-light .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-light .subtitle strong {
+          color: #282f2f; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-light .navbar-menu {
+          background-color: #ecf0f1; } }
+      html.theme--documenter-dark .hero.is-light .navbar-item,
+      html.theme--documenter-dark .hero.is-light .navbar-link {
+        color: rgba(40, 47, 47, 0.7); }
+      html.theme--documenter-dark .hero.is-light a.navbar-item:hover, html.theme--documenter-dark .hero.is-light a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-light .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-light .navbar-link.is-active {
+        background-color: #dde4e6;
+        color: #282f2f; }
+      html.theme--documenter-dark .hero.is-light .tabs a {
+        color: #282f2f;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-light .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-light .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-light .tabs.is-boxed a, html.theme--documenter-dark .hero.is-light .tabs.is-toggle a {
+        color: #282f2f; }
+        html.theme--documenter-dark .hero.is-light .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-light .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-light .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-light .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-light .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-light .tabs.is-toggle li.is-active a:hover {
+        background-color: #282f2f;
+        border-color: #282f2f;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-light.is-bold {
+        background-image: linear-gradient(141deg, #cadfe0 0%, #ecf0f1 71%, #fafbfc 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-light.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #cadfe0 0%, #ecf0f1 71%, #fafbfc 100%); } }
+    html.theme--documenter-dark .hero.is-dark, html.theme--documenter-dark .content kbd.hero {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-dark a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), html.theme--documenter-dark .content kbd.hero a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-dark strong,
+      html.theme--documenter-dark .content kbd.hero strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-dark .title, html.theme--documenter-dark .content kbd.hero .title {
+        color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-dark .subtitle, html.theme--documenter-dark .content kbd.hero .subtitle {
+        color: rgba(236, 240, 241, 0.9); }
+        html.theme--documenter-dark .hero.is-dark .subtitle a:not(.button), html.theme--documenter-dark .content kbd.hero .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-dark .subtitle strong,
+        html.theme--documenter-dark .content kbd.hero .subtitle strong {
+          color: #ecf0f1; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-dark .navbar-menu, html.theme--documenter-dark .content kbd.hero .navbar-menu {
+          background-color: #282f2f; } }
+      html.theme--documenter-dark .hero.is-dark .navbar-item, html.theme--documenter-dark .content kbd.hero .navbar-item,
+      html.theme--documenter-dark .hero.is-dark .navbar-link,
+      html.theme--documenter-dark .content kbd.hero .navbar-link {
+        color: rgba(236, 240, 241, 0.7); }
+      html.theme--documenter-dark .hero.is-dark a.navbar-item:hover, html.theme--documenter-dark .content kbd.hero a.navbar-item:hover, html.theme--documenter-dark .hero.is-dark a.navbar-item.is-active, html.theme--documenter-dark .content kbd.hero a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-dark .navbar-link:hover,
+      html.theme--documenter-dark .content kbd.hero .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-dark .navbar-link.is-active,
+      html.theme--documenter-dark .content kbd.hero .navbar-link.is-active {
+        background-color: #1d2122;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-dark .tabs a, html.theme--documenter-dark .content kbd.hero .tabs a {
+        color: #ecf0f1;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-dark .tabs a:hover, html.theme--documenter-dark .content kbd.hero .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-dark .tabs li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-dark .tabs.is-boxed a, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed a, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle a, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle a {
+        color: #ecf0f1; }
+        html.theme--documenter-dark .hero.is-dark .tabs.is-boxed a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-dark .tabs.is-boxed li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-dark .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle li.is-active a:hover {
+        background-color: #ecf0f1;
+        border-color: #ecf0f1;
+        color: #282f2f; }
+      html.theme--documenter-dark .hero.is-dark.is-bold, html.theme--documenter-dark .content kbd.hero.is-bold {
+        background-image: linear-gradient(141deg, #0f1615 0%, #282f2f 71%, #313c40 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-dark.is-bold .navbar-menu, html.theme--documenter-dark .content kbd.hero.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #0f1615 0%, #282f2f 71%, #313c40 100%); } }
+    html.theme--documenter-dark .hero.is-primary, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink {
+      background-color: #375a7f;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-primary a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-primary strong,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-primary .title, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-primary .subtitle, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-primary .subtitle a:not(.button), html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-primary .subtitle strong,
+        html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-primary .navbar-menu, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-menu {
+          background-color: #375a7f; } }
+      html.theme--documenter-dark .hero.is-primary .navbar-item, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-item,
+      html.theme--documenter-dark .hero.is-primary .navbar-link,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-primary a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a.navbar-item:hover, html.theme--documenter-dark .hero.is-primary a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-primary .navbar-link:hover,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-primary .navbar-link.is-active,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link.is-active {
+        background-color: #2f4d6d;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-primary .tabs a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-primary .tabs a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-primary .tabs li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-primary .tabs.is-boxed a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-primary .tabs.is-boxed a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-primary .tabs.is-boxed li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-primary .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #375a7f; }
+      html.theme--documenter-dark .hero.is-primary.is-bold, html.theme--documenter-dark .docstring > section > a.hero.is-bold.docs-sourcelink {
+        background-image: linear-gradient(141deg, #214b62 0%, #375a7f 71%, #3a5796 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-primary.is-bold .navbar-menu, html.theme--documenter-dark .docstring > section > a.hero.is-bold.docs-sourcelink .navbar-menu {
+            background-image: linear-gradient(141deg, #214b62 0%, #375a7f 71%, #3a5796 100%); } }
+    html.theme--documenter-dark .hero.is-link {
+      background-color: #1abc9c;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-link a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-link strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-link .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-link .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-link .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-link .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-link .navbar-menu {
+          background-color: #1abc9c; } }
+      html.theme--documenter-dark .hero.is-link .navbar-item,
+      html.theme--documenter-dark .hero.is-link .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-link a.navbar-item:hover, html.theme--documenter-dark .hero.is-link a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-link .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-link .navbar-link.is-active {
+        background-color: #17a689;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-link .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-link .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-link .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-link .tabs.is-boxed a, html.theme--documenter-dark .hero.is-link .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-link .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-link .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-link .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-link .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-link .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-link .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #1abc9c; }
+      html.theme--documenter-dark .hero.is-link.is-bold {
+        background-image: linear-gradient(141deg, #0c9764 0%, #1abc9c 71%, #17d8d2 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-link.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #0c9764 0%, #1abc9c 71%, #17d8d2 100%); } }
+    html.theme--documenter-dark .hero.is-info {
+      background-color: #024c7d;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-info a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-info strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-info .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-info .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-info .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-info .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-info .navbar-menu {
+          background-color: #024c7d; } }
+      html.theme--documenter-dark .hero.is-info .navbar-item,
+      html.theme--documenter-dark .hero.is-info .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-info a.navbar-item:hover, html.theme--documenter-dark .hero.is-info a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-info .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-info .navbar-link.is-active {
+        background-color: #023d64;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-info .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-info .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-info .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-info .tabs.is-boxed a, html.theme--documenter-dark .hero.is-info .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-info .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-info .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-info .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-info .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-info .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-info .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #024c7d; }
+      html.theme--documenter-dark .hero.is-info.is-bold {
+        background-image: linear-gradient(141deg, #003a4c 0%, #024c7d 71%, #004299 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-info.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #003a4c 0%, #024c7d 71%, #004299 100%); } }
+    html.theme--documenter-dark .hero.is-success {
+      background-color: #008438;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-success a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-success strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-success .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-success .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-success .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-success .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-success .navbar-menu {
+          background-color: #008438; } }
+      html.theme--documenter-dark .hero.is-success .navbar-item,
+      html.theme--documenter-dark .hero.is-success .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-success a.navbar-item:hover, html.theme--documenter-dark .hero.is-success a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-success .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-success .navbar-link.is-active {
+        background-color: #006b2d;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-success .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-success .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-success .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-success .tabs.is-boxed a, html.theme--documenter-dark .hero.is-success .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-success .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-success .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-success .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-success .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-success .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-success .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #008438; }
+      html.theme--documenter-dark .hero.is-success.is-bold {
+        background-image: linear-gradient(141deg, #005115 0%, #008438 71%, #009e5d 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-success.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #005115 0%, #008438 71%, #009e5d 100%); } }
+    html.theme--documenter-dark .hero.is-warning {
+      background-color: #ad8100;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-warning a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-warning strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-warning .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-warning .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-warning .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-warning .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-warning .navbar-menu {
+          background-color: #ad8100; } }
+      html.theme--documenter-dark .hero.is-warning .navbar-item,
+      html.theme--documenter-dark .hero.is-warning .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-warning a.navbar-item:hover, html.theme--documenter-dark .hero.is-warning a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-warning .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-warning .navbar-link.is-active {
+        background-color: #946e00;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-warning .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-warning .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-warning .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-warning .tabs.is-boxed a, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-warning .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-warning .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-warning .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #ad8100; }
+      html.theme--documenter-dark .hero.is-warning.is-bold {
+        background-image: linear-gradient(141deg, #7a4700 0%, #ad8100 71%, #c7b500 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-warning.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #7a4700 0%, #ad8100 71%, #c7b500 100%); } }
+    html.theme--documenter-dark .hero.is-danger {
+      background-color: #9e1b0d;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-danger a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-danger strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-danger .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-danger .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-danger .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-danger .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-danger .navbar-menu {
+          background-color: #9e1b0d; } }
+      html.theme--documenter-dark .hero.is-danger .navbar-item,
+      html.theme--documenter-dark .hero.is-danger .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-danger a.navbar-item:hover, html.theme--documenter-dark .hero.is-danger a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-danger .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-danger .navbar-link.is-active {
+        background-color: #86170b;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-danger .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-danger .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-danger .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-danger .tabs.is-boxed a, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-danger .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-danger .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-danger .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #9e1b0d; }
+      html.theme--documenter-dark .hero.is-danger.is-bold {
+        background-image: linear-gradient(141deg, #75030b 0%, #9e1b0d 71%, #ba380a 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-danger.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #75030b 0%, #9e1b0d 71%, #ba380a 100%); } }
+    html.theme--documenter-dark .hero.is-small .hero-body, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.hero .hero-body {
+      padding-bottom: 1.5rem;
+      padding-top: 1.5rem; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .hero.is-medium .hero-body {
+        padding-bottom: 9rem;
+        padding-top: 9rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .hero.is-large .hero-body {
+        padding-bottom: 18rem;
+        padding-top: 18rem; } }
+    html.theme--documenter-dark .hero.is-halfheight .hero-body, html.theme--documenter-dark .hero.is-fullheight .hero-body, html.theme--documenter-dark .hero.is-fullheight-with-navbar .hero-body {
+      align-items: center;
+      display: flex; }
+      html.theme--documenter-dark .hero.is-halfheight .hero-body > .container, html.theme--documenter-dark .hero.is-fullheight .hero-body > .container, html.theme--documenter-dark .hero.is-fullheight-with-navbar .hero-body > .container {
+        flex-grow: 1;
+        flex-shrink: 1; }
+    html.theme--documenter-dark .hero.is-halfheight {
+      min-height: 50vh; }
+    html.theme--documenter-dark .hero.is-fullheight {
+      min-height: 100vh; }
+  html.theme--documenter-dark .hero-video {
+    overflow: hidden; }
+    html.theme--documenter-dark .hero-video video {
+      left: 50%;
+      min-height: 100%;
+      min-width: 100%;
+      position: absolute;
+      top: 50%;
+      transform: translate3d(-50%, -50%, 0); }
+    html.theme--documenter-dark .hero-video.is-transparent {
+      opacity: 0.3; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .hero-video {
+        display: none; } }
+  html.theme--documenter-dark .hero-buttons {
+    margin-top: 1.5rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .hero-buttons .button {
+        display: flex; }
+        html.theme--documenter-dark .hero-buttons .button:not(:last-child) {
+          margin-bottom: 0.75rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .hero-buttons {
+        display: flex;
+        justify-content: center; }
+        html.theme--documenter-dark .hero-buttons .button:not(:last-child) {
+          margin-right: 1.5rem; } }
+  html.theme--documenter-dark .hero-head,
+  html.theme--documenter-dark .hero-foot {
+    flex-grow: 0;
+    flex-shrink: 0; }
+  html.theme--documenter-dark .hero-body {
+    flex-grow: 1;
+    flex-shrink: 0;
+    padding: 3rem 1.5rem; }
+  html.theme--documenter-dark .section {
+    padding: 3rem 1.5rem; }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .section.is-medium {
+        padding: 9rem 1.5rem; }
+      html.theme--documenter-dark .section.is-large {
+        padding: 18rem 1.5rem; } }
+  html.theme--documenter-dark .footer {
+    background-color: #282f2f;
+    padding: 3rem 1.5rem 6rem; }
+  html.theme--documenter-dark hr {
+    height: 1px; }
+  html.theme--documenter-dark h6 {
+    text-transform: uppercase;
+    letter-spacing: 0.5px; }
+  html.theme--documenter-dark .hero {
+    background-color: #343c3d; }
+  html.theme--documenter-dark a {
+    transition: all 200ms ease; }
+  html.theme--documenter-dark .button {
+    transition: all 200ms ease;
+    border-width: 1px;
+    color: white; }
+    html.theme--documenter-dark .button.is-active, html.theme--documenter-dark .button.is-focused, html.theme--documenter-dark .button:active, html.theme--documenter-dark .button:focus {
+      box-shadow: 0 0 0 2px rgba(140, 155, 157, 0.5); }
+    html.theme--documenter-dark .button.is-white.is-hovered, html.theme--documenter-dark .button.is-white:hover {
+      background-color: white; }
+    html.theme--documenter-dark .button.is-white.is-active, html.theme--documenter-dark .button.is-white.is-focused, html.theme--documenter-dark .button.is-white:active, html.theme--documenter-dark .button.is-white:focus {
+      border-color: white;
+      box-shadow: 0 0 0 2px rgba(255, 255, 255, 0.5); }
+    html.theme--documenter-dark .button.is-black.is-hovered, html.theme--documenter-dark .button.is-black:hover {
+      background-color: #1d1d1d; }
+    html.theme--documenter-dark .button.is-black.is-active, html.theme--documenter-dark .button.is-black.is-focused, html.theme--documenter-dark .button.is-black:active, html.theme--documenter-dark .button.is-black:focus {
+      border-color: #0a0a0a;
+      box-shadow: 0 0 0 2px rgba(10, 10, 10, 0.5); }
+    html.theme--documenter-dark .button.is-light.is-hovered, html.theme--documenter-dark .button.is-light:hover {
+      background-color: white; }
+    html.theme--documenter-dark .button.is-light.is-active, html.theme--documenter-dark .button.is-light.is-focused, html.theme--documenter-dark .button.is-light:active, html.theme--documenter-dark .button.is-light:focus {
+      border-color: #ecf0f1;
+      box-shadow: 0 0 0 2px rgba(236, 240, 241, 0.5); }
+    html.theme--documenter-dark .button.is-dark.is-hovered, html.theme--documenter-dark .content kbd.button.is-hovered, html.theme--documenter-dark .button.is-dark:hover, html.theme--documenter-dark .content kbd.button:hover {
+      background-color: #3a4344; }
+    html.theme--documenter-dark .button.is-dark.is-active, html.theme--documenter-dark .content kbd.button.is-active, html.theme--documenter-dark .button.is-dark.is-focused, html.theme--documenter-dark .content kbd.button.is-focused, html.theme--documenter-dark .button.is-dark:active, html.theme--documenter-dark .content kbd.button:active, html.theme--documenter-dark .button.is-dark:focus, html.theme--documenter-dark .content kbd.button:focus {
+      border-color: #282f2f;
+      box-shadow: 0 0 0 2px rgba(40, 47, 47, 0.5); }
+    html.theme--documenter-dark .button.is-primary.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary:hover, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:hover {
+      background-color: #436d9a; }
+    html.theme--documenter-dark .button.is-primary.is-active, html.theme--documenter-dark .docstring > section > a.button.is-active.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink, html.theme--documenter-dark .button.is-primary:active, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:active, html.theme--documenter-dark .button.is-primary:focus, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus {
+      border-color: #375a7f;
+      box-shadow: 0 0 0 2px rgba(55, 90, 127, 0.5); }
+    html.theme--documenter-dark .button.is-link.is-hovered, html.theme--documenter-dark .button.is-link:hover {
+      background-color: #1fdeb8; }
+    html.theme--documenter-dark .button.is-link.is-active, html.theme--documenter-dark .button.is-link.is-focused, html.theme--documenter-dark .button.is-link:active, html.theme--documenter-dark .button.is-link:focus {
+      border-color: #1abc9c;
+      box-shadow: 0 0 0 2px rgba(26, 188, 156, 0.5); }
+    html.theme--documenter-dark .button.is-info.is-hovered, html.theme--documenter-dark .button.is-info:hover {
+      background-color: #0363a3; }
+    html.theme--documenter-dark .button.is-info.is-active, html.theme--documenter-dark .button.is-info.is-focused, html.theme--documenter-dark .button.is-info:active, html.theme--documenter-dark .button.is-info:focus {
+      border-color: #024c7d;
+      box-shadow: 0 0 0 2px rgba(2, 76, 125, 0.5); }
+    html.theme--documenter-dark .button.is-success.is-hovered, html.theme--documenter-dark .button.is-success:hover {
+      background-color: #00aa48; }
+    html.theme--documenter-dark .button.is-success.is-active, html.theme--documenter-dark .button.is-success.is-focused, html.theme--documenter-dark .button.is-success:active, html.theme--documenter-dark .button.is-success:focus {
+      border-color: #008438;
+      box-shadow: 0 0 0 2px rgba(0, 132, 56, 0.5); }
+    html.theme--documenter-dark .button.is-warning.is-hovered, html.theme--documenter-dark .button.is-warning:hover {
+      background-color: #d39e00; }
+    html.theme--documenter-dark .button.is-warning.is-active, html.theme--documenter-dark .button.is-warning.is-focused, html.theme--documenter-dark .button.is-warning:active, html.theme--documenter-dark .button.is-warning:focus {
+      border-color: #ad8100;
+      box-shadow: 0 0 0 2px rgba(173, 129, 0, 0.5); }
+    html.theme--documenter-dark .button.is-danger.is-hovered, html.theme--documenter-dark .button.is-danger:hover {
+      background-color: #c12110; }
+    html.theme--documenter-dark .button.is-danger.is-active, html.theme--documenter-dark .button.is-danger.is-focused, html.theme--documenter-dark .button.is-danger:active, html.theme--documenter-dark .button.is-danger:focus {
+      border-color: #9e1b0d;
+      box-shadow: 0 0 0 2px rgba(158, 27, 13, 0.5); }
+  html.theme--documenter-dark .label {
+    color: #dbdee0; }
+  html.theme--documenter-dark .button,
+  html.theme--documenter-dark .control.has-icons-left .icon,
+  html.theme--documenter-dark .control.has-icons-right .icon,
+  html.theme--documenter-dark .input,
+  html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input,
+  html.theme--documenter-dark .pagination-ellipsis,
+  html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .select,
+  html.theme--documenter-dark .select select,
+  html.theme--documenter-dark .textarea {
+    height: 2.5em; }
+  html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input,
+  html.theme--documenter-dark .textarea {
+    transition: all 200ms ease;
+    box-shadow: none;
+    border-width: 1px;
+    padding-left: 1em;
+    padding-right: 1em; }
+  html.theme--documenter-dark .select:after,
+  html.theme--documenter-dark .select select {
+    border-width: 1px; }
+  html.theme--documenter-dark .control.has-addons .button,
+  html.theme--documenter-dark .control.has-addons .input,
+  html.theme--documenter-dark .control.has-addons #documenter .docs-sidebar form.docs-search > input,
+  html.theme--documenter-dark #documenter .docs-sidebar .control.has-addons form.docs-search > input,
+  html.theme--documenter-dark .control.has-addons .select {
+    margin-right: -1px; }
+  html.theme--documenter-dark .notification {
+    background-color: #343c3d; }
+  html.theme--documenter-dark .card {
+    box-shadow: none;
+    border: 1px solid #343c3d;
+    background-color: #282f2f;
+    border-radius: 0.4em; }
+    html.theme--documenter-dark .card .card-image img {
+      border-radius: 0.4em 0.4em 0 0; }
+    html.theme--documenter-dark .card .card-header {
+      box-shadow: none;
+      background-color: rgba(18, 18, 18, 0.2);
+      border-radius: 0.4em 0.4em 0 0; }
+    html.theme--documenter-dark .card .card-footer {
+      background-color: rgba(18, 18, 18, 0.2); }
+    html.theme--documenter-dark .card .card-footer,
+    html.theme--documenter-dark .card .card-footer-item {
+      border-width: 1px;
+      border-color: #343c3d; }
+  html.theme--documenter-dark .notification.is-white a:not(.button) {
+    color: #0a0a0a;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-black a:not(.button) {
+    color: white;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-light a:not(.button) {
+    color: #282f2f;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-dark a:not(.button), html.theme--documenter-dark .content kbd.notification a:not(.button) {
+    color: #ecf0f1;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-primary a:not(.button), html.theme--documenter-dark .docstring > section > a.notification.docs-sourcelink a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-link a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-info a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-success a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-warning a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-danger a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .tag, html.theme--documenter-dark .content kbd, html.theme--documenter-dark .docstring > section > a.docs-sourcelink {
+    border-radius: 0.4em; }
+  html.theme--documenter-dark .menu-list a {
+    transition: all 300ms ease; }
+  html.theme--documenter-dark .modal-card-body {
+    background-color: #282f2f; }
+  html.theme--documenter-dark .modal-card-foot,
+  html.theme--documenter-dark .modal-card-head {
+    border-color: #343c3d; }
+  html.theme--documenter-dark .message-header {
+    font-weight: 700;
+    background-color: #343c3d;
+    color: white; }
+  html.theme--documenter-dark .message-body {
+    border-width: 1px;
+    border-color: #343c3d; }
+  html.theme--documenter-dark .navbar {
+    border-radius: 0.4em; }
+    html.theme--documenter-dark .navbar.is-transparent {
+      background: none; }
+    html.theme--documenter-dark .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active {
+      background-color: #1abc9c; }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .navbar .navbar-menu {
+        background-color: #375a7f;
+        border-radius: 0 0 0.4em 0.4em; } }
+  html.theme--documenter-dark .hero .navbar,
+  html.theme--documenter-dark body > .navbar {
+    border-radius: 0; }
+  html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-previous {
+    border-width: 1px; }
+  html.theme--documenter-dark .panel-block,
+  html.theme--documenter-dark .panel-heading,
+  html.theme--documenter-dark .panel-tabs {
+    border-width: 1px; }
+    html.theme--documenter-dark .panel-block:first-child,
+    html.theme--documenter-dark .panel-heading:first-child,
+    html.theme--documenter-dark .panel-tabs:first-child {
+      border-top-width: 1px; }
+  html.theme--documenter-dark .panel-heading {
+    font-weight: 700; }
+  html.theme--documenter-dark .panel-tabs a {
+    border-width: 1px;
+    margin-bottom: -1px; }
+    html.theme--documenter-dark .panel-tabs a.is-active {
+      border-bottom-color: #17a689; }
+  html.theme--documenter-dark .panel-block:hover {
+    color: #1dd2af; }
+    html.theme--documenter-dark .panel-block:hover .panel-icon {
+      color: #1dd2af; }
+  html.theme--documenter-dark .panel-block.is-active .panel-icon {
+    color: #17a689; }
+  html.theme--documenter-dark .tabs a {
+    border-bottom-width: 1px;
+    margin-bottom: -1px; }
+  html.theme--documenter-dark .tabs ul {
+    border-bottom-width: 1px; }
+  html.theme--documenter-dark .tabs.is-boxed a {
+    border-width: 1px; }
+  html.theme--documenter-dark .tabs.is-boxed li.is-active a {
+    background-color: #1f2424; }
+  html.theme--documenter-dark .tabs.is-toggle li a {
+    border-width: 1px;
+    margin-bottom: 0; }
+  html.theme--documenter-dark .tabs.is-toggle li + li {
+    margin-left: -1px; }
+  html.theme--documenter-dark .hero.is-white .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-black .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-light .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-dark .navbar .navbar-dropdown .navbar-item:hover, html.theme--documenter-dark .content kbd.hero .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-primary .navbar .navbar-dropdown .navbar-item:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-link .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-info .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-success .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-warning .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-danger .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark h1 .docs-heading-anchor, html.theme--documenter-dark h1 .docs-heading-anchor:hover, html.theme--documenter-dark h1 .docs-heading-anchor:visited, html.theme--documenter-dark h2 .docs-heading-anchor, html.theme--documenter-dark h2 .docs-heading-anchor:hover, html.theme--documenter-dark h2 .docs-heading-anchor:visited, html.theme--documenter-dark h3 .docs-heading-anchor, html.theme--documenter-dark h3 .docs-heading-anchor:hover, html.theme--documenter-dark h3 .docs-heading-anchor:visited, html.theme--documenter-dark h4 .docs-heading-anchor, html.theme--documenter-dark h4 .docs-heading-anchor:hover, html.theme--documenter-dark h4 .docs-heading-anchor:visited, html.theme--documenter-dark h5 .docs-heading-anchor, html.theme--documenter-dark h5 .docs-heading-anchor:hover, html.theme--documenter-dark h5 .docs-heading-anchor:visited, html.theme--documenter-dark h6 .docs-heading-anchor, html.theme--documenter-dark h6 .docs-heading-anchor:hover, html.theme--documenter-dark h6 .docs-heading-anchor:visited {
+    color: #f2f2f2; }
+  html.theme--documenter-dark h1 .docs-heading-anchor-permalink, html.theme--documenter-dark h2 .docs-heading-anchor-permalink, html.theme--documenter-dark h3 .docs-heading-anchor-permalink, html.theme--documenter-dark h4 .docs-heading-anchor-permalink, html.theme--documenter-dark h5 .docs-heading-anchor-permalink, html.theme--documenter-dark h6 .docs-heading-anchor-permalink {
+    visibility: hidden;
+    vertical-align: middle;
+    margin-left: 0.5em;
+    font-size: 0.7rem; }
+    html.theme--documenter-dark h1 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h2 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h3 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h4 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h5 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h6 .docs-heading-anchor-permalink::before {
+      font-family: "Font Awesome 5 Free";
+      font-weight: 900;
+      content: "\f0c1"; }
+  html.theme--documenter-dark h1:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h2:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h3:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h4:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h5:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h6:hover .docs-heading-anchor-permalink {
+    visibility: visible; }
+  html.theme--documenter-dark .docs-light-only {
+    display: none !important; }
+  html.theme--documenter-dark pre {
+    position: relative;
+    overflow: hidden; }
+    html.theme--documenter-dark pre code, html.theme--documenter-dark pre code.hljs {
+      padding: 0 0.75rem !important;
+      overflow: auto;
+      display: block; }
+    html.theme--documenter-dark pre code:first-of-type, html.theme--documenter-dark pre code.hljs:first-of-type {
+      padding-top: 0.5rem !important; }
+    html.theme--documenter-dark pre code:last-of-type, html.theme--documenter-dark pre code.hljs:last-of-type {
+      padding-bottom: 0.5rem !important; }
+    html.theme--documenter-dark pre .copy-button {
+      opacity: 0.2;
+      transition: opacity 0.2s;
+      position: absolute;
+      right: 0em;
+      top: 0em;
+      padding: 0.5em;
+      width: 2.5em;
+      height: 2.5em;
+      background: transparent;
+      border: none;
+      font-family: "Font Awesome 5 Free";
+      color: #fff;
+      cursor: pointer;
+      text-align: center; }
+      html.theme--documenter-dark pre .copy-button:focus, html.theme--documenter-dark pre .copy-button:hover {
+        opacity: 1;
+        background: rgba(255, 255, 255, 0.1);
+        color: #1abc9c; }
+      html.theme--documenter-dark pre .copy-button.success {
+        color: #259a12;
+        opacity: 1; }
+      html.theme--documenter-dark pre .copy-button.error {
+        color: #cb3c33;
+        opacity: 1; }
+    html.theme--documenter-dark pre:hover .copy-button {
+      opacity: 1; }
+  html.theme--documenter-dark .admonition {
+    background-color: #282f2f;
+    border-style: solid;
+    border-width: 1px;
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    font-size: 15px; }
+    html.theme--documenter-dark .admonition strong {
+      color: currentColor; }
+    html.theme--documenter-dark .admonition.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.admonition {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .admonition.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .admonition.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .admonition.is-default {
+      background-color: #282f2f;
+      border-color: #5e6d6f; }
+      html.theme--documenter-dark .admonition.is-default > .admonition-header {
+        background-color: #5e6d6f; }
+    html.theme--documenter-dark .admonition.is-info {
+      background-color: #282f2f;
+      border-color: #024c7d; }
+      html.theme--documenter-dark .admonition.is-info > .admonition-header {
+        background-color: #024c7d; }
+    html.theme--documenter-dark .admonition.is-success {
+      background-color: #282f2f;
+      border-color: #008438; }
+      html.theme--documenter-dark .admonition.is-success > .admonition-header {
+        background-color: #008438; }
+    html.theme--documenter-dark .admonition.is-warning {
+      background-color: #282f2f;
+      border-color: #ad8100; }
+      html.theme--documenter-dark .admonition.is-warning > .admonition-header {
+        background-color: #ad8100; }
+    html.theme--documenter-dark .admonition.is-danger {
+      background-color: #282f2f;
+      border-color: #9e1b0d; }
+      html.theme--documenter-dark .admonition.is-danger > .admonition-header {
+        background-color: #9e1b0d; }
+    html.theme--documenter-dark .admonition.is-compat {
+      background-color: #282f2f;
+      border-color: #137886; }
+      html.theme--documenter-dark .admonition.is-compat > .admonition-header {
+        background-color: #137886; }
+  html.theme--documenter-dark .admonition-header {
+    background-color: #5e6d6f;
+    align-items: center;
+    font-weight: 700;
+    justify-content: space-between;
+    line-height: 1.25;
+    padding: 0.5rem 0.75rem;
+    position: relative; }
+    html.theme--documenter-dark .admonition-header:before {
+      font-family: "Font Awesome 5 Free";
+      font-weight: 900;
+      margin-right: 0.75rem;
+      content: "\f06a"; }
+  html.theme--documenter-dark .admonition-body {
+    color: #fff;
+    padding: 0.5rem 0.75rem; }
+    html.theme--documenter-dark .admonition-body pre {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .admonition-body code {
+      background-color: rgba(255, 255, 255, 0.05); }
+  html.theme--documenter-dark .docstring {
+    margin-bottom: 1em;
+    background-color: transparent;
+    border: 1px solid #5e6d6f;
+    box-shadow: none;
+    max-width: 100%; }
+    html.theme--documenter-dark .docstring > header {
+      display: flex;
+      flex-grow: 1;
+      align-items: stretch;
+      padding: 0.5rem 0.75rem;
+      background-color: #282f2f;
+      box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+      box-shadow: none;
+      border-bottom: 1px solid #5e6d6f; }
+      html.theme--documenter-dark .docstring > header code {
+        background-color: transparent; }
+      html.theme--documenter-dark .docstring > header .docstring-binding {
+        margin-right: 0.3em; }
+      html.theme--documenter-dark .docstring > header .docstring-category {
+        margin-left: 0.3em; }
+    html.theme--documenter-dark .docstring > section {
+      position: relative;
+      padding: 0.75rem 0.75rem;
+      border-bottom: 1px solid #5e6d6f; }
+      html.theme--documenter-dark .docstring > section:last-child {
+        border-bottom: none; }
+      html.theme--documenter-dark .docstring > section > a.docs-sourcelink {
+        transition: opacity 0.3s;
+        opacity: 0;
+        position: absolute;
+        right: 0.375rem;
+        bottom: 0.375rem; }
+        html.theme--documenter-dark .docstring > section > a.docs-sourcelink:focus {
+          opacity: 1 !important; }
+    html.theme--documenter-dark .docstring:hover > section > a.docs-sourcelink {
+      opacity: 0.2; }
+    html.theme--documenter-dark .docstring:focus-within > section > a.docs-sourcelink {
+      opacity: 0.2; }
+    html.theme--documenter-dark .docstring > section:hover a.docs-sourcelink {
+      opacity: 1; }
+  html.theme--documenter-dark .documenter-example-output {
+    background-color: #1f2424; }
+  html.theme--documenter-dark .outdated-warning-overlay {
+    position: fixed;
+    top: 0;
+    left: 0;
+    right: 0;
+    box-shadow: 0 0 10px rgba(0, 0, 0, 0.3);
+    z-index: 999;
+    background-color: #282f2f;
+    border-bottom: 3px solid #9e1b0d;
+    padding: 10px 35px;
+    text-align: center;
+    font-size: 15px; }
+    html.theme--documenter-dark .outdated-warning-overlay .outdated-warning-closer {
+      position: absolute;
+      top: calc(50% - 10px);
+      right: 18px;
+      cursor: pointer;
+      width: 12px; }
+    html.theme--documenter-dark .outdated-warning-overlay a {
+      color: #1abc9c; }
+      html.theme--documenter-dark .outdated-warning-overlay a:hover {
+        color: #1dd2af; }
+  html.theme--documenter-dark .content pre {
+    border: 1px solid #5e6d6f; }
+  html.theme--documenter-dark .content code {
+    font-weight: inherit; }
+  html.theme--documenter-dark .content a code {
+    color: #1abc9c; }
+  html.theme--documenter-dark .content h1 code, html.theme--documenter-dark .content h2 code, html.theme--documenter-dark .content h3 code, html.theme--documenter-dark .content h4 code, html.theme--documenter-dark .content h5 code, html.theme--documenter-dark .content h6 code {
+    color: #f2f2f2; }
+  html.theme--documenter-dark .content table {
+    display: block;
+    width: initial;
+    max-width: 100%;
+    overflow-x: auto; }
+  html.theme--documenter-dark .content blockquote > ul:first-child, html.theme--documenter-dark .content blockquote > ol:first-child, html.theme--documenter-dark .content .admonition-body > ul:first-child, html.theme--documenter-dark .content .admonition-body > ol:first-child {
+    margin-top: 0; }
+  html.theme--documenter-dark pre, html.theme--documenter-dark code {
+    font-variant-ligatures: no-contextual; }
+  html.theme--documenter-dark .breadcrumb a.is-disabled {
+    cursor: default;
+    pointer-events: none; }
+    html.theme--documenter-dark .breadcrumb a.is-disabled, html.theme--documenter-dark .breadcrumb a.is-disabled:hover {
+      color: #f2f2f2; }
+  html.theme--documenter-dark .hljs {
+    background: initial !important; }
+  html.theme--documenter-dark .katex .katex-mathml {
+    top: 0;
+    right: 0; }
+  html.theme--documenter-dark .katex-display, html.theme--documenter-dark mjx-container, html.theme--documenter-dark .MathJax_Display {
+    margin: 0.5em 0 !important; }
+  html.theme--documenter-dark html {
+    -moz-osx-font-smoothing: auto;
+    -webkit-font-smoothing: auto; }
+  html.theme--documenter-dark li.no-marker {
+    list-style: none; }
+  html.theme--documenter-dark #documenter .docs-main > article {
+    overflow-wrap: break-word; }
+    html.theme--documenter-dark #documenter .docs-main > article .math-container {
+      overflow-x: auto;
+      overflow-y: hidden; }
+  @media screen and (min-width: 1056px) {
+    html.theme--documenter-dark #documenter .docs-main {
+      max-width: 52rem;
+      margin-left: 20rem;
+      padding-right: 1rem; } }
+  @media screen and (max-width: 1055px) {
+    html.theme--documenter-dark #documenter .docs-main {
+      width: 100%; }
+      html.theme--documenter-dark #documenter .docs-main > article {
+        max-width: 52rem;
+        margin-left: auto;
+        margin-right: auto;
+        margin-bottom: 1rem;
+        padding: 0 1rem; }
+      html.theme--documenter-dark #documenter .docs-main > header, html.theme--documenter-dark #documenter .docs-main > nav {
+        max-width: 100%;
+        width: 100%;
+        margin: 0; } }
+  html.theme--documenter-dark #documenter .docs-main header.docs-navbar {
+    background-color: #1f2424;
+    border-bottom: 1px solid #5e6d6f;
+    z-index: 2;
+    min-height: 4rem;
+    margin-bottom: 1rem;
+    display: flex; }
+    html.theme--documenter-dark #documenter .docs-main header.docs-navbar .breadcrumb {
+      flex-grow: 1; }
+    html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right {
+      display: flex;
+      white-space: nowrap; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-icon, html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-label, html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+        display: inline-block; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-label {
+        padding: 0;
+        margin-left: 0.3em; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-settings-button {
+        margin: auto 0 auto 1rem; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+        font-size: 1.5rem;
+        margin: auto 0 auto 1rem; }
+    html.theme--documenter-dark #documenter .docs-main header.docs-navbar > * {
+      margin: auto 0; }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar {
+        position: sticky;
+        top: 0;
+        padding: 0 1rem;
+        /* For Headroom.js */
+        transition-property: top, box-shadow;
+        -webkit-transition-property: top, box-shadow;
+        /* Safari */
+        transition-duration: 0.3s;
+        -webkit-transition-duration: 0.3s;
+        /* Safari */ }
+        html.theme--documenter-dark #documenter .docs-main header.docs-navbar.headroom--not-top {
+          box-shadow: 0.2rem 0rem 0.4rem #171717;
+          transition-duration: 0.7s;
+          -webkit-transition-duration: 0.7s;
+          /* Safari */ }
+        html.theme--documenter-dark #documenter .docs-main header.docs-navbar.headroom--unpinned.headroom--not-top.headroom--not-bottom {
+          top: -4.5rem;
+          transition-duration: 0.7s;
+          -webkit-transition-duration: 0.7s;
+          /* Safari */ } }
+  html.theme--documenter-dark #documenter .docs-main section.footnotes {
+    border-top: 1px solid #5e6d6f; }
+    html.theme--documenter-dark #documenter .docs-main section.footnotes li .tag:first-child, html.theme--documenter-dark #documenter .docs-main section.footnotes li .docstring > section > a.docs-sourcelink:first-child, html.theme--documenter-dark #documenter .docs-main section.footnotes li .content kbd:first-child, html.theme--documenter-dark .content #documenter .docs-main section.footnotes li kbd:first-child {
+      margin-right: 1em;
+      margin-bottom: 0.4em; }
+  html.theme--documenter-dark #documenter .docs-main .docs-footer {
+    display: flex;
+    flex-wrap: wrap;
+    margin-left: 0;
+    margin-right: 0;
+    border-top: 1px solid #5e6d6f;
+    padding-top: 1rem;
+    padding-bottom: 1rem; }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark #documenter .docs-main .docs-footer {
+        padding-left: 1rem;
+        padding-right: 1rem; } }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-nextpage, html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-prevpage {
+      flex-grow: 1; }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-nextpage {
+      text-align: right; }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .flexbox-break {
+      flex-basis: 100%;
+      height: 0; }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .footer-message {
+      font-size: 0.8em;
+      margin: 0.5em auto 0 auto;
+      text-align: center; }
+  html.theme--documenter-dark #documenter .docs-sidebar {
+    display: flex;
+    flex-direction: column;
+    color: #fff;
+    background-color: #282f2f;
+    border-right: 1px solid #5e6d6f;
+    padding: 0;
+    flex: 0 0 18rem;
+    z-index: 5;
+    font-size: 15px;
+    position: fixed;
+    left: -18rem;
+    width: 18rem;
+    height: 100%;
+    transition: left 0.3s;
+    /* Setting up a nicer theme style for the scrollbar */ }
+    html.theme--documenter-dark #documenter .docs-sidebar.visible {
+      left: 0;
+      box-shadow: 0.4rem 0rem 0.8rem #171717; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark #documenter .docs-sidebar.visible {
+          box-shadow: none; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark #documenter .docs-sidebar {
+        left: 0;
+        top: 0; } }
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo {
+      margin-top: 1rem;
+      padding: 0 1rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img {
+        max-height: 6rem;
+        margin: auto; }
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name {
+      flex-shrink: 0;
+      font-size: 1.5rem;
+      font-weight: 700;
+      text-align: center;
+      white-space: nowrap;
+      overflow: hidden;
+      padding: 0.5rem 0; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name .docs-autofit {
+        max-width: 16.2rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name a, html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name a:hover {
+        color: #fff; }
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-version-selector {
+      border-top: 1px solid #5e6d6f;
+      display: none;
+      padding: 0.5rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-version-selector.visible {
+        display: flex; }
+    html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu {
+      flex-grow: 1;
+      user-select: none;
+      border-top: 1px solid #5e6d6f;
+      padding-bottom: 1.5rem;
+      /* Managing collapsible submenus */ }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li > .tocitem {
+        font-weight: bold; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li li {
+        font-size: 14.25px;
+        margin-left: 1em;
+        border-left: 1px solid #5e6d6f; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input.collapse-toggle {
+        display: none; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.collapsed {
+        display: none; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input:checked ~ ul.collapsed {
+        display: block; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem {
+        display: flex; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-label {
+          flex-grow: 2; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron {
+          display: inline-block;
+          font-style: normal;
+          font-variant: normal;
+          text-rendering: auto;
+          line-height: 1;
+          font-size: 11.25px;
+          margin-left: 1rem;
+          margin-top: auto;
+          margin-bottom: auto; }
+          html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron::before {
+            font-family: "Font Awesome 5 Free";
+            font-weight: 900;
+            content: "\f054"; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input:checked ~ label.tocitem .docs-chevron::before {
+        content: "\f078"; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem {
+        display: block;
+        padding: 0.5rem 0.5rem; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem:hover {
+          color: #fff;
+          background: #282f2f; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu a.tocitem:hover, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem:hover {
+        color: #fff;
+        background-color: #32393a; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active {
+        border-top: 1px solid #5e6d6f;
+        border-bottom: 1px solid #5e6d6f;
+        background-color: #1f2424; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem:hover {
+          background-color: #1f2424;
+          color: #fff; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active ul.internal .tocitem:hover {
+          background-color: #32393a;
+          color: #fff; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li.is-active:first-child {
+        border-top: none; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal {
+        margin: 0 0.5rem 0.5rem;
+        border-top: 1px solid #5e6d6f; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal li {
+          font-size: 12.75px;
+          border-left: none;
+          margin-left: 0;
+          margin-top: 0.5rem; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem {
+          width: 100%;
+          padding: 0; }
+          html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem::before {
+            content: "⚬";
+            margin-right: 0.4em; }
+    html.theme--documenter-dark #documenter .docs-sidebar form.docs-search {
+      margin: auto;
+      margin-top: 0.5rem;
+      margin-bottom: 0.5rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+        width: 14.4rem; }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu {
+        overflow-y: auto;
+        -webkit-overflow-scroll: touch; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar {
+          width: .3rem;
+          background: none; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb {
+          border-radius: 5px 0px 0px 5px;
+          background: #3b4445; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb:hover {
+          background: #4e5a5c; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark #documenter .docs-sidebar {
+        overflow-y: auto;
+        -webkit-overflow-scroll: touch; }
+        html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar {
+          width: .3rem;
+          background: none; }
+        html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar-thumb {
+          border-radius: 5px 0px 0px 5px;
+          background: #3b4445; }
+        html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar-thumb:hover {
+          background: #4e5a5c; } }
+  html.theme--documenter-dark #documenter .docs-main #documenter-search-info {
+    margin-bottom: 1rem; }
+  html.theme--documenter-dark #documenter .docs-main #documenter-search-results {
+    list-style-type: circle;
+    list-style-position: outside; }
+    html.theme--documenter-dark #documenter .docs-main #documenter-search-results li {
+      margin-left: 2rem; }
+    html.theme--documenter-dark #documenter .docs-main #documenter-search-results .docs-highlight {
+      background-color: yellow; }
+  html.theme--documenter-dark {
+    background-color: #1f2424;
+    font-size: 16px;
+    min-width: 300px;
+    overflow-x: auto;
+    overflow-y: scroll;
+    text-rendering: optimizeLegibility;
+    text-size-adjust: 100%; }
+  html.theme--documenter-dark .ansi span.sgr1 {
+    font-weight: bolder; }
+  html.theme--documenter-dark .ansi span.sgr2 {
+    font-weight: lighter; }
+  html.theme--documenter-dark .ansi span.sgr3 {
+    font-style: italic; }
+  html.theme--documenter-dark .ansi span.sgr4 {
+    text-decoration: underline; }
+  html.theme--documenter-dark .ansi span.sgr7 {
+    color: #1f2424;
+    background-color: #fff; }
+  html.theme--documenter-dark .ansi span.sgr8 {
+    color: transparent; }
+    html.theme--documenter-dark .ansi span.sgr8 span {
+      color: transparent; }
+  html.theme--documenter-dark .ansi span.sgr9 {
+    text-decoration: line-through; }
+  html.theme--documenter-dark .ansi span.sgr30 {
+    color: #242424; }
+  html.theme--documenter-dark .ansi span.sgr31 {
+    color: #f6705f; }
+  html.theme--documenter-dark .ansi span.sgr32 {
+    color: #4fb43a; }
+  html.theme--documenter-dark .ansi span.sgr33 {
+    color: #f4c72f; }
+  html.theme--documenter-dark .ansi span.sgr34 {
+    color: #7587f0; }
+  html.theme--documenter-dark .ansi span.sgr35 {
+    color: #bc89d3; }
+  html.theme--documenter-dark .ansi span.sgr36 {
+    color: #49b6ca; }
+  html.theme--documenter-dark .ansi span.sgr37 {
+    color: #b3bdbe; }
+  html.theme--documenter-dark .ansi span.sgr40 {
+    background-color: #242424; }
+  html.theme--documenter-dark .ansi span.sgr41 {
+    background-color: #f6705f; }
+  html.theme--documenter-dark .ansi span.sgr42 {
+    background-color: #4fb43a; }
+  html.theme--documenter-dark .ansi span.sgr43 {
+    background-color: #f4c72f; }
+  html.theme--documenter-dark .ansi span.sgr44 {
+    background-color: #7587f0; }
+  html.theme--documenter-dark .ansi span.sgr45 {
+    background-color: #bc89d3; }
+  html.theme--documenter-dark .ansi span.sgr46 {
+    background-color: #49b6ca; }
+  html.theme--documenter-dark .ansi span.sgr47 {
+    background-color: #b3bdbe; }
+  html.theme--documenter-dark .ansi span.sgr90 {
+    color: #92a0a2; }
+  html.theme--documenter-dark .ansi span.sgr91 {
+    color: #ff8674; }
+  html.theme--documenter-dark .ansi span.sgr92 {
+    color: #79d462; }
+  html.theme--documenter-dark .ansi span.sgr93 {
+    color: #ffe76b; }
+  html.theme--documenter-dark .ansi span.sgr94 {
+    color: #8a98ff; }
+  html.theme--documenter-dark .ansi span.sgr95 {
+    color: #d2a4e6; }
+  html.theme--documenter-dark .ansi span.sgr96 {
+    color: #6bc8db; }
+  html.theme--documenter-dark .ansi span.sgr97 {
+    color: #ecf0f1; }
+  html.theme--documenter-dark .ansi span.sgr100 {
+    background-color: #92a0a2; }
+  html.theme--documenter-dark .ansi span.sgr101 {
+    background-color: #ff8674; }
+  html.theme--documenter-dark .ansi span.sgr102 {
+    background-color: #79d462; }
+  html.theme--documenter-dark .ansi span.sgr103 {
+    background-color: #ffe76b; }
+  html.theme--documenter-dark .ansi span.sgr104 {
+    background-color: #8a98ff; }
+  html.theme--documenter-dark .ansi span.sgr105 {
+    background-color: #d2a4e6; }
+  html.theme--documenter-dark .ansi span.sgr106 {
+    background-color: #6bc8db; }
+  html.theme--documenter-dark .ansi span.sgr107 {
+    background-color: #ecf0f1; }
+  html.theme--documenter-dark code.language-julia-repl > span.hljs-meta {
+    color: #4fb43a;
+    font-weight: bolder; }
+  html.theme--documenter-dark .hljs {
+    background: #2b2b2b;
+    color: #f8f8f2; }
+  html.theme--documenter-dark .hljs-comment,
+  html.theme--documenter-dark .hljs-quote {
+    color: #d4d0ab; }
+  html.theme--documenter-dark .hljs-variable,
+  html.theme--documenter-dark .hljs-template-variable,
+  html.theme--documenter-dark .hljs-tag,
+  html.theme--documenter-dark .hljs-name,
+  html.theme--documenter-dark .hljs-selector-id,
+  html.theme--documenter-dark .hljs-selector-class,
+  html.theme--documenter-dark .hljs-regexp,
+  html.theme--documenter-dark .hljs-deletion {
+    color: #ffa07a; }
+  html.theme--documenter-dark .hljs-number,
+  html.theme--documenter-dark .hljs-built_in,
+  html.theme--documenter-dark .hljs-literal,
+  html.theme--documenter-dark .hljs-type,
+  html.theme--documenter-dark .hljs-params,
+  html.theme--documenter-dark .hljs-meta,
+  html.theme--documenter-dark .hljs-link {
+    color: #f5ab35; }
+  html.theme--documenter-dark .hljs-attribute {
+    color: #ffd700; }
+  html.theme--documenter-dark .hljs-string,
+  html.theme--documenter-dark .hljs-symbol,
+  html.theme--documenter-dark .hljs-bullet,
+  html.theme--documenter-dark .hljs-addition {
+    color: #abe338; }
+  html.theme--documenter-dark .hljs-title,
+  html.theme--documenter-dark .hljs-section {
+    color: #00e0e0; }
+  html.theme--documenter-dark .hljs-keyword,
+  html.theme--documenter-dark .hljs-selector-tag {
+    color: #dcc6e0; }
+  html.theme--documenter-dark .hljs-emphasis {
+    font-style: italic; }
+  html.theme--documenter-dark .hljs-strong {
+    font-weight: bold; }
+  @media screen and (-ms-high-contrast: active) {
+    html.theme--documenter-dark .hljs-addition,
+    html.theme--documenter-dark .hljs-attribute,
+    html.theme--documenter-dark .hljs-built_in,
+    html.theme--documenter-dark .hljs-bullet,
+    html.theme--documenter-dark .hljs-comment,
+    html.theme--documenter-dark .hljs-link,
+    html.theme--documenter-dark .hljs-literal,
+    html.theme--documenter-dark .hljs-meta,
+    html.theme--documenter-dark .hljs-number,
+    html.theme--documenter-dark .hljs-params,
+    html.theme--documenter-dark .hljs-string,
+    html.theme--documenter-dark .hljs-symbol,
+    html.theme--documenter-dark .hljs-type,
+    html.theme--documenter-dark .hljs-quote {
+      color: highlight; }
+    html.theme--documenter-dark .hljs-keyword,
+    html.theme--documenter-dark .hljs-selector-tag {
+      font-weight: bold; } }
+  html.theme--documenter-dark .hljs-subst {
+    color: #f8f8f2; }
diff --git a/v0.3.17/assets/themes/documenter-light.css b/v0.3.17/assets/themes/documenter-light.css
new file mode 100644
index 000000000..9595d5b8e
--- /dev/null
+++ b/v0.3.17/assets/themes/documenter-light.css
@@ -0,0 +1,7738 @@
+@charset "UTF-8";
+/* Font Awesome 5 mixin. Can be included in any rule that should render Font Awesome icons. */
+@keyframes spinAround {
+  from {
+    transform: rotate(0deg); }
+  to {
+    transform: rotate(359deg); } }
+
+.tabs, .pagination-previous,
+.pagination-next,
+.pagination-link,
+.pagination-ellipsis, .breadcrumb, .file, .button, .is-unselectable, .modal-close, .delete {
+  -webkit-touch-callout: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  user-select: none; }
+
+.navbar-link:not(.is-arrowless)::after, .select:not(.is-multiple):not(.is-loading)::after {
+  border: 3px solid transparent;
+  border-radius: 2px;
+  border-right: 0;
+  border-top: 0;
+  content: " ";
+  display: block;
+  height: 0.625em;
+  margin-top: -0.4375em;
+  pointer-events: none;
+  position: absolute;
+  top: 50%;
+  transform: rotate(-45deg);
+  transform-origin: center;
+  width: 0.625em; }
+
+.admonition:not(:last-child), .tabs:not(:last-child), .message:not(:last-child), .list:not(:last-child), .level:not(:last-child), .breadcrumb:not(:last-child), .highlight:not(:last-child), .block:not(:last-child), .title:not(:last-child),
+.subtitle:not(:last-child), .table-container:not(:last-child), .table:not(:last-child), .progress:not(:last-child), .notification:not(:last-child), .content:not(:last-child), .box:not(:last-child) {
+  margin-bottom: 1.5rem; }
+
+.modal-close, .delete {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  background-color: rgba(10, 10, 10, 0.2);
+  border: none;
+  border-radius: 290486px;
+  cursor: pointer;
+  pointer-events: auto;
+  display: inline-block;
+  flex-grow: 0;
+  flex-shrink: 0;
+  font-size: 0;
+  height: 20px;
+  max-height: 20px;
+  max-width: 20px;
+  min-height: 20px;
+  min-width: 20px;
+  outline: none;
+  position: relative;
+  vertical-align: top;
+  width: 20px; }
+  .modal-close::before, .delete::before, .modal-close::after, .delete::after {
+    background-color: white;
+    content: "";
+    display: block;
+    left: 50%;
+    position: absolute;
+    top: 50%;
+    transform: translateX(-50%) translateY(-50%) rotate(45deg);
+    transform-origin: center center; }
+  .modal-close::before, .delete::before {
+    height: 2px;
+    width: 50%; }
+  .modal-close::after, .delete::after {
+    height: 50%;
+    width: 2px; }
+  .modal-close:hover, .delete:hover, .modal-close:focus, .delete:focus {
+    background-color: rgba(10, 10, 10, 0.3); }
+  .modal-close:active, .delete:active {
+    background-color: rgba(10, 10, 10, 0.4); }
+  .is-small.modal-close, #documenter .docs-sidebar form.docs-search > input.modal-close, .is-small.delete, #documenter .docs-sidebar form.docs-search > input.delete {
+    height: 16px;
+    max-height: 16px;
+    max-width: 16px;
+    min-height: 16px;
+    min-width: 16px;
+    width: 16px; }
+  .is-medium.modal-close, .is-medium.delete {
+    height: 24px;
+    max-height: 24px;
+    max-width: 24px;
+    min-height: 24px;
+    min-width: 24px;
+    width: 24px; }
+  .is-large.modal-close, .is-large.delete {
+    height: 32px;
+    max-height: 32px;
+    max-width: 32px;
+    min-height: 32px;
+    min-width: 32px;
+    width: 32px; }
+
+.control.is-loading::after, .select.is-loading::after, .loader, .button.is-loading::after {
+  animation: spinAround 500ms infinite linear;
+  border: 2px solid #dbdbdb;
+  border-radius: 290486px;
+  border-right-color: transparent;
+  border-top-color: transparent;
+  content: "";
+  display: block;
+  height: 1em;
+  position: relative;
+  width: 1em; }
+
+.hero-video, .modal-background, .modal, .image.is-square img, #documenter .docs-sidebar .docs-logo > img.is-square img,
+.image.is-square .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, .image.is-1by1 img, #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+.image.is-1by1 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, .image.is-5by4 img, #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+.image.is-5by4 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, .image.is-4by3 img, #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+.image.is-4by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, .image.is-3by2 img, #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+.image.is-3by2 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, .image.is-5by3 img, #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+.image.is-5by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, .image.is-16by9 img, #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+.image.is-16by9 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, .image.is-2by1 img, #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+.image.is-2by1 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, .image.is-3by1 img, #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+.image.is-3by1 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, .image.is-4by5 img, #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+.image.is-4by5 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, .image.is-3by4 img, #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+.image.is-3by4 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, .image.is-2by3 img, #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+.image.is-2by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, .image.is-3by5 img, #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+.image.is-3by5 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, .image.is-9by16 img, #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+.image.is-9by16 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, .image.is-1by2 img, #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+.image.is-1by2 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, .image.is-1by3 img, #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+.image.is-1by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio, .is-overlay {
+  bottom: 0;
+  left: 0;
+  position: absolute;
+  right: 0;
+  top: 0; }
+
+.pagination-previous,
+.pagination-next,
+.pagination-link,
+.pagination-ellipsis, .file-cta,
+.file-name, .select select, .textarea, .input, #documenter .docs-sidebar form.docs-search > input, .button {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  align-items: center;
+  border: 1px solid transparent;
+  border-radius: 4px;
+  box-shadow: none;
+  display: inline-flex;
+  font-size: 1rem;
+  height: 2.25em;
+  justify-content: flex-start;
+  line-height: 1.5;
+  padding-bottom: calc(0.375em - 1px);
+  padding-left: calc(0.625em - 1px);
+  padding-right: calc(0.625em - 1px);
+  padding-top: calc(0.375em - 1px);
+  position: relative;
+  vertical-align: top; }
+  .pagination-previous:focus,
+  .pagination-next:focus,
+  .pagination-link:focus,
+  .pagination-ellipsis:focus, .file-cta:focus,
+  .file-name:focus, .select select:focus, .textarea:focus, .input:focus, #documenter .docs-sidebar form.docs-search > input:focus, .button:focus, .is-focused.pagination-previous,
+  .is-focused.pagination-next,
+  .is-focused.pagination-link,
+  .is-focused.pagination-ellipsis, .is-focused.file-cta,
+  .is-focused.file-name, .select select.is-focused, .is-focused.textarea, .is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-focused.button, .pagination-previous:active,
+  .pagination-next:active,
+  .pagination-link:active,
+  .pagination-ellipsis:active, .file-cta:active,
+  .file-name:active, .select select:active, .textarea:active, .input:active, #documenter .docs-sidebar form.docs-search > input:active, .button:active, .is-active.pagination-previous,
+  .is-active.pagination-next,
+  .is-active.pagination-link,
+  .is-active.pagination-ellipsis, .is-active.file-cta,
+  .is-active.file-name, .select select.is-active, .is-active.textarea, .is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .is-active.button {
+    outline: none; }
+  .pagination-previous[disabled],
+  .pagination-next[disabled],
+  .pagination-link[disabled],
+  .pagination-ellipsis[disabled], .file-cta[disabled],
+  .file-name[disabled], .select select[disabled], .textarea[disabled], .input[disabled], #documenter .docs-sidebar form.docs-search > input[disabled], .button[disabled], fieldset[disabled] .pagination-previous,
+  fieldset[disabled] .pagination-next,
+  fieldset[disabled] .pagination-link,
+  fieldset[disabled] .pagination-ellipsis, fieldset[disabled] .file-cta,
+  fieldset[disabled] .file-name, fieldset[disabled] .select select, .select fieldset[disabled] select, fieldset[disabled] .textarea, fieldset[disabled] .input, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input, fieldset[disabled] .button {
+    cursor: not-allowed; }
+
+/*! minireset.css v0.0.4 | MIT License | github.com/jgthms/minireset.css */
+html,
+body,
+p,
+ol,
+ul,
+li,
+dl,
+dt,
+dd,
+blockquote,
+figure,
+fieldset,
+legend,
+textarea,
+pre,
+iframe,
+hr,
+h1,
+h2,
+h3,
+h4,
+h5,
+h6 {
+  margin: 0;
+  padding: 0; }
+
+h1,
+h2,
+h3,
+h4,
+h5,
+h6 {
+  font-size: 100%;
+  font-weight: normal; }
+
+ul {
+  list-style: none; }
+
+button,
+input,
+select,
+textarea {
+  margin: 0; }
+
+html {
+  box-sizing: border-box; }
+
+*, *::before, *::after {
+  box-sizing: inherit; }
+
+img,
+embed,
+iframe,
+object,
+video {
+  height: auto;
+  max-width: 100%; }
+
+audio {
+  max-width: 100%; }
+
+iframe {
+  border: 0; }
+
+table {
+  border-collapse: collapse;
+  border-spacing: 0; }
+
+td,
+th {
+  padding: 0; }
+  td:not([align]),
+  th:not([align]) {
+    text-align: left; }
+
+html {
+  background-color: white;
+  font-size: 16px;
+  -moz-osx-font-smoothing: grayscale;
+  -webkit-font-smoothing: antialiased;
+  min-width: 300px;
+  overflow-x: auto;
+  overflow-y: scroll;
+  text-rendering: optimizeLegibility;
+  text-size-adjust: 100%; }
+
+article,
+aside,
+figure,
+footer,
+header,
+hgroup,
+section {
+  display: block; }
+
+body,
+button,
+input,
+select,
+textarea {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif; }
+
+code,
+pre {
+  -moz-osx-font-smoothing: auto;
+  -webkit-font-smoothing: auto;
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace; }
+
+body {
+  color: #222222;
+  font-size: 1em;
+  font-weight: 400;
+  line-height: 1.5; }
+
+a {
+  color: #2e63b8;
+  cursor: pointer;
+  text-decoration: none; }
+  a strong {
+    color: currentColor; }
+  a:hover {
+    color: #363636; }
+
+code {
+  background-color: rgba(0, 0, 0, 0.05);
+  color: #000000;
+  font-size: 0.875em;
+  font-weight: normal;
+  padding: 0.1em; }
+
+hr {
+  background-color: whitesmoke;
+  border: none;
+  display: block;
+  height: 2px;
+  margin: 1.5rem 0; }
+
+img {
+  height: auto;
+  max-width: 100%; }
+
+input[type="checkbox"],
+input[type="radio"] {
+  vertical-align: baseline; }
+
+small {
+  font-size: 0.875em; }
+
+span {
+  font-style: inherit;
+  font-weight: inherit; }
+
+strong {
+  color: #222222;
+  font-weight: 700; }
+
+fieldset {
+  border: none; }
+
+pre {
+  -webkit-overflow-scrolling: touch;
+  background-color: whitesmoke;
+  color: #222222;
+  font-size: 0.875em;
+  overflow-x: auto;
+  padding: 1.25rem 1.5rem;
+  white-space: pre;
+  word-wrap: normal; }
+  pre code {
+    background-color: transparent;
+    color: currentColor;
+    font-size: 1em;
+    padding: 0; }
+
+table td,
+table th {
+  vertical-align: top; }
+  table td:not([align]),
+  table th:not([align]) {
+    text-align: left; }
+
+table th {
+  color: #222222; }
+
+.is-clearfix::after {
+  clear: both;
+  content: " ";
+  display: table; }
+
+.is-pulled-left {
+  float: left !important; }
+
+.is-pulled-right {
+  float: right !important; }
+
+.is-clipped {
+  overflow: hidden !important; }
+
+.is-size-1 {
+  font-size: 3rem !important; }
+
+.is-size-2 {
+  font-size: 2.5rem !important; }
+
+.is-size-3 {
+  font-size: 2rem !important; }
+
+.is-size-4 {
+  font-size: 1.5rem !important; }
+
+.is-size-5 {
+  font-size: 1.25rem !important; }
+
+.is-size-6 {
+  font-size: 1rem !important; }
+
+.is-size-7, .docstring > section > a.docs-sourcelink {
+  font-size: 0.75rem !important; }
+
+@media screen and (max-width: 768px) {
+  .is-size-1-mobile {
+    font-size: 3rem !important; }
+  .is-size-2-mobile {
+    font-size: 2.5rem !important; }
+  .is-size-3-mobile {
+    font-size: 2rem !important; }
+  .is-size-4-mobile {
+    font-size: 1.5rem !important; }
+  .is-size-5-mobile {
+    font-size: 1.25rem !important; }
+  .is-size-6-mobile {
+    font-size: 1rem !important; }
+  .is-size-7-mobile {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-size-1-tablet {
+    font-size: 3rem !important; }
+  .is-size-2-tablet {
+    font-size: 2.5rem !important; }
+  .is-size-3-tablet {
+    font-size: 2rem !important; }
+  .is-size-4-tablet {
+    font-size: 1.5rem !important; }
+  .is-size-5-tablet {
+    font-size: 1.25rem !important; }
+  .is-size-6-tablet {
+    font-size: 1rem !important; }
+  .is-size-7-tablet {
+    font-size: 0.75rem !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-size-1-touch {
+    font-size: 3rem !important; }
+  .is-size-2-touch {
+    font-size: 2.5rem !important; }
+  .is-size-3-touch {
+    font-size: 2rem !important; }
+  .is-size-4-touch {
+    font-size: 1.5rem !important; }
+  .is-size-5-touch {
+    font-size: 1.25rem !important; }
+  .is-size-6-touch {
+    font-size: 1rem !important; }
+  .is-size-7-touch {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-size-1-desktop {
+    font-size: 3rem !important; }
+  .is-size-2-desktop {
+    font-size: 2.5rem !important; }
+  .is-size-3-desktop {
+    font-size: 2rem !important; }
+  .is-size-4-desktop {
+    font-size: 1.5rem !important; }
+  .is-size-5-desktop {
+    font-size: 1.25rem !important; }
+  .is-size-6-desktop {
+    font-size: 1rem !important; }
+  .is-size-7-desktop {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-size-1-widescreen {
+    font-size: 3rem !important; }
+  .is-size-2-widescreen {
+    font-size: 2.5rem !important; }
+  .is-size-3-widescreen {
+    font-size: 2rem !important; }
+  .is-size-4-widescreen {
+    font-size: 1.5rem !important; }
+  .is-size-5-widescreen {
+    font-size: 1.25rem !important; }
+  .is-size-6-widescreen {
+    font-size: 1rem !important; }
+  .is-size-7-widescreen {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-size-1-fullhd {
+    font-size: 3rem !important; }
+  .is-size-2-fullhd {
+    font-size: 2.5rem !important; }
+  .is-size-3-fullhd {
+    font-size: 2rem !important; }
+  .is-size-4-fullhd {
+    font-size: 1.5rem !important; }
+  .is-size-5-fullhd {
+    font-size: 1.25rem !important; }
+  .is-size-6-fullhd {
+    font-size: 1rem !important; }
+  .is-size-7-fullhd {
+    font-size: 0.75rem !important; } }
+
+.has-text-centered {
+  text-align: center !important; }
+
+.has-text-justified {
+  text-align: justify !important; }
+
+.has-text-left {
+  text-align: left !important; }
+
+.has-text-right {
+  text-align: right !important; }
+
+@media screen and (max-width: 768px) {
+  .has-text-centered-mobile {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-centered-tablet {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-centered-tablet-only {
+    text-align: center !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-centered-touch {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-centered-desktop {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-centered-desktop-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-centered-widescreen {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-centered-widescreen-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-centered-fullhd {
+    text-align: center !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-justified-mobile {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-justified-tablet {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-justified-tablet-only {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-justified-touch {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-justified-desktop {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-justified-desktop-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-justified-widescreen {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-justified-widescreen-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-justified-fullhd {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-left-mobile {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-left-tablet {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-left-tablet-only {
+    text-align: left !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-left-touch {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-left-desktop {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-left-desktop-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-left-widescreen {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-left-widescreen-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-left-fullhd {
+    text-align: left !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-right-mobile {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-right-tablet {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-right-tablet-only {
+    text-align: right !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-right-touch {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-right-desktop {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-right-desktop-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-right-widescreen {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-right-widescreen-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-right-fullhd {
+    text-align: right !important; } }
+
+.is-capitalized {
+  text-transform: capitalize !important; }
+
+.is-lowercase {
+  text-transform: lowercase !important; }
+
+.is-uppercase {
+  text-transform: uppercase !important; }
+
+.is-italic {
+  font-style: italic !important; }
+
+.has-text-white {
+  color: white !important; }
+
+a.has-text-white:hover, a.has-text-white:focus {
+  color: #e6e6e6 !important; }
+
+.has-background-white {
+  background-color: white !important; }
+
+.has-text-black {
+  color: #0a0a0a !important; }
+
+a.has-text-black:hover, a.has-text-black:focus {
+  color: black !important; }
+
+.has-background-black {
+  background-color: #0a0a0a !important; }
+
+.has-text-light {
+  color: whitesmoke !important; }
+
+a.has-text-light:hover, a.has-text-light:focus {
+  color: #dbdbdb !important; }
+
+.has-background-light {
+  background-color: whitesmoke !important; }
+
+.has-text-dark {
+  color: #363636 !important; }
+
+a.has-text-dark:hover, a.has-text-dark:focus {
+  color: #1c1c1c !important; }
+
+.has-background-dark {
+  background-color: #363636 !important; }
+
+.has-text-primary {
+  color: #4eb5de !important; }
+
+a.has-text-primary:hover, a.has-text-primary:focus {
+  color: #27a1d2 !important; }
+
+.has-background-primary {
+  background-color: #4eb5de !important; }
+
+.has-text-link {
+  color: #2e63b8 !important; }
+
+a.has-text-link:hover, a.has-text-link:focus {
+  color: #244d8f !important; }
+
+.has-background-link {
+  background-color: #2e63b8 !important; }
+
+.has-text-info {
+  color: #209cee !important; }
+
+a.has-text-info:hover, a.has-text-info:focus {
+  color: #1081cb !important; }
+
+.has-background-info {
+  background-color: #209cee !important; }
+
+.has-text-success {
+  color: #22c35b !important; }
+
+a.has-text-success:hover, a.has-text-success:focus {
+  color: #1a9847 !important; }
+
+.has-background-success {
+  background-color: #22c35b !important; }
+
+.has-text-warning {
+  color: #ffdd57 !important; }
+
+a.has-text-warning:hover, a.has-text-warning:focus {
+  color: #ffd324 !important; }
+
+.has-background-warning {
+  background-color: #ffdd57 !important; }
+
+.has-text-danger {
+  color: #da0b00 !important; }
+
+a.has-text-danger:hover, a.has-text-danger:focus {
+  color: #a70800 !important; }
+
+.has-background-danger {
+  background-color: #da0b00 !important; }
+
+.has-text-black-bis {
+  color: #121212 !important; }
+
+.has-background-black-bis {
+  background-color: #121212 !important; }
+
+.has-text-black-ter {
+  color: #242424 !important; }
+
+.has-background-black-ter {
+  background-color: #242424 !important; }
+
+.has-text-grey-darker {
+  color: #363636 !important; }
+
+.has-background-grey-darker {
+  background-color: #363636 !important; }
+
+.has-text-grey-dark {
+  color: #4a4a4a !important; }
+
+.has-background-grey-dark {
+  background-color: #4a4a4a !important; }
+
+.has-text-grey {
+  color: #6b6b6b !important; }
+
+.has-background-grey {
+  background-color: #6b6b6b !important; }
+
+.has-text-grey-light {
+  color: #b5b5b5 !important; }
+
+.has-background-grey-light {
+  background-color: #b5b5b5 !important; }
+
+.has-text-grey-lighter {
+  color: #dbdbdb !important; }
+
+.has-background-grey-lighter {
+  background-color: #dbdbdb !important; }
+
+.has-text-white-ter {
+  color: whitesmoke !important; }
+
+.has-background-white-ter {
+  background-color: whitesmoke !important; }
+
+.has-text-white-bis {
+  color: #fafafa !important; }
+
+.has-background-white-bis {
+  background-color: #fafafa !important; }
+
+.has-text-weight-light {
+  font-weight: 300 !important; }
+
+.has-text-weight-normal {
+  font-weight: 400 !important; }
+
+.has-text-weight-medium {
+  font-weight: 500 !important; }
+
+.has-text-weight-semibold {
+  font-weight: 600 !important; }
+
+.has-text-weight-bold {
+  font-weight: 700 !important; }
+
+.is-family-primary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-secondary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-sans-serif {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-monospace {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-family-code {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-block {
+  display: block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-block-mobile {
+    display: block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-block-tablet {
+    display: block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-block-tablet-only {
+    display: block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-block-touch {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-block-desktop {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-block-desktop-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-block-widescreen {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-block-widescreen-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-block-fullhd {
+    display: block !important; } }
+
+.is-flex {
+  display: flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-flex-mobile {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-flex-tablet {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-flex-tablet-only {
+    display: flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-flex-touch {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-flex-desktop {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-flex-desktop-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-flex-widescreen {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-flex-widescreen-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-flex-fullhd {
+    display: flex !important; } }
+
+.is-inline {
+  display: inline !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-mobile {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-tablet {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-tablet-only {
+    display: inline !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-touch {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-desktop {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-desktop-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-widescreen {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-widescreen-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-fullhd {
+    display: inline !important; } }
+
+.is-inline-block {
+  display: inline-block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-block-mobile {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-block-tablet {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-block-tablet-only {
+    display: inline-block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-block-touch {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-block-desktop {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-block-desktop-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-block-widescreen {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-block-widescreen-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-block-fullhd {
+    display: inline-block !important; } }
+
+.is-inline-flex {
+  display: inline-flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-flex-mobile {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-flex-tablet {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-flex-tablet-only {
+    display: inline-flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-flex-touch {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-flex-desktop {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-flex-desktop-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-flex-widescreen {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-flex-widescreen-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-flex-fullhd {
+    display: inline-flex !important; } }
+
+.is-hidden {
+  display: none !important; }
+
+.is-sr-only {
+  border: none !important;
+  clip: rect(0, 0, 0, 0) !important;
+  height: 0.01em !important;
+  overflow: hidden !important;
+  padding: 0 !important;
+  position: absolute !important;
+  white-space: nowrap !important;
+  width: 0.01em !important; }
+
+@media screen and (max-width: 768px) {
+  .is-hidden-mobile {
+    display: none !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-hidden-tablet {
+    display: none !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-hidden-tablet-only {
+    display: none !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-hidden-touch {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-hidden-desktop {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-hidden-desktop-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-hidden-widescreen {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-hidden-widescreen-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-hidden-fullhd {
+    display: none !important; } }
+
+.is-invisible {
+  visibility: hidden !important; }
+
+@media screen and (max-width: 768px) {
+  .is-invisible-mobile {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-invisible-tablet {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-invisible-tablet-only {
+    visibility: hidden !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-invisible-touch {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-invisible-desktop {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-invisible-desktop-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-invisible-widescreen {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-invisible-widescreen-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-invisible-fullhd {
+    visibility: hidden !important; } }
+
+.is-marginless {
+  margin: 0 !important; }
+
+.is-paddingless {
+  padding: 0 !important; }
+
+.is-radiusless {
+  border-radius: 0 !important; }
+
+.is-shadowless {
+  box-shadow: none !important; }
+
+.is-relative {
+  position: relative !important; }
+
+.box {
+  background-color: white;
+  border-radius: 6px;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+  color: #222222;
+  display: block;
+  padding: 1.25rem; }
+
+a.box:hover, a.box:focus {
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px #2e63b8; }
+
+a.box:active {
+  box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2), 0 0 0 1px #2e63b8; }
+
+.button {
+  background-color: white;
+  border-color: #dbdbdb;
+  border-width: 1px;
+  color: #363636;
+  cursor: pointer;
+  justify-content: center;
+  padding-bottom: calc(0.375em - 1px);
+  padding-left: 0.75em;
+  padding-right: 0.75em;
+  padding-top: calc(0.375em - 1px);
+  text-align: center;
+  white-space: nowrap; }
+  .button strong {
+    color: inherit; }
+  .button .icon, .button .icon.is-small, .button #documenter .docs-sidebar form.docs-search > input.icon, #documenter .docs-sidebar .button form.docs-search > input.icon, .button .icon.is-medium, .button .icon.is-large {
+    height: 1.5em;
+    width: 1.5em; }
+  .button .icon:first-child:not(:last-child) {
+    margin-left: calc(-0.375em - 1px);
+    margin-right: 0.1875em; }
+  .button .icon:last-child:not(:first-child) {
+    margin-left: 0.1875em;
+    margin-right: calc(-0.375em - 1px); }
+  .button .icon:first-child:last-child {
+    margin-left: calc(-0.375em - 1px);
+    margin-right: calc(-0.375em - 1px); }
+  .button:hover, .button.is-hovered {
+    border-color: #b5b5b5;
+    color: #363636; }
+  .button:focus, .button.is-focused {
+    border-color: #3c5dcd;
+    color: #363636; }
+    .button:focus:not(:active), .button.is-focused:not(:active) {
+      box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .button:active, .button.is-active {
+    border-color: #4a4a4a;
+    color: #363636; }
+  .button.is-text {
+    background-color: transparent;
+    border-color: transparent;
+    color: #222222;
+    text-decoration: underline; }
+    .button.is-text:hover, .button.is-text.is-hovered, .button.is-text:focus, .button.is-text.is-focused {
+      background-color: whitesmoke;
+      color: #222222; }
+    .button.is-text:active, .button.is-text.is-active {
+      background-color: #e8e8e8;
+      color: #222222; }
+    .button.is-text[disabled], fieldset[disabled] .button.is-text {
+      background-color: transparent;
+      border-color: transparent;
+      box-shadow: none; }
+  .button.is-white {
+    background-color: white;
+    border-color: transparent;
+    color: #0a0a0a; }
+    .button.is-white:hover, .button.is-white.is-hovered {
+      background-color: #f9f9f9;
+      border-color: transparent;
+      color: #0a0a0a; }
+    .button.is-white:focus, .button.is-white.is-focused {
+      border-color: transparent;
+      color: #0a0a0a; }
+      .button.is-white:focus:not(:active), .button.is-white.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+    .button.is-white:active, .button.is-white.is-active {
+      background-color: #f2f2f2;
+      border-color: transparent;
+      color: #0a0a0a; }
+    .button.is-white[disabled], fieldset[disabled] .button.is-white {
+      background-color: white;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-white.is-inverted {
+      background-color: #0a0a0a;
+      color: white; }
+      .button.is-white.is-inverted:hover, .button.is-white.is-inverted.is-hovered {
+        background-color: black; }
+      .button.is-white.is-inverted[disabled], fieldset[disabled] .button.is-white.is-inverted {
+        background-color: #0a0a0a;
+        border-color: transparent;
+        box-shadow: none;
+        color: white; }
+    .button.is-white.is-loading::after {
+      border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+    .button.is-white.is-outlined {
+      background-color: transparent;
+      border-color: white;
+      color: white; }
+      .button.is-white.is-outlined:hover, .button.is-white.is-outlined.is-hovered, .button.is-white.is-outlined:focus, .button.is-white.is-outlined.is-focused {
+        background-color: white;
+        border-color: white;
+        color: #0a0a0a; }
+      .button.is-white.is-outlined.is-loading::after {
+        border-color: transparent transparent white white !important; }
+      .button.is-white.is-outlined.is-loading:hover::after, .button.is-white.is-outlined.is-loading.is-hovered::after, .button.is-white.is-outlined.is-loading:focus::after, .button.is-white.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      .button.is-white.is-outlined[disabled], fieldset[disabled] .button.is-white.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        box-shadow: none;
+        color: white; }
+    .button.is-white.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #0a0a0a;
+      color: #0a0a0a; }
+      .button.is-white.is-inverted.is-outlined:hover, .button.is-white.is-inverted.is-outlined.is-hovered, .button.is-white.is-inverted.is-outlined:focus, .button.is-white.is-inverted.is-outlined.is-focused {
+        background-color: #0a0a0a;
+        color: white; }
+      .button.is-white.is-inverted.is-outlined.is-loading:hover::after, .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-white.is-inverted.is-outlined.is-loading:focus::after, .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent white white !important; }
+      .button.is-white.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-white.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        box-shadow: none;
+        color: #0a0a0a; }
+  .button.is-black {
+    background-color: #0a0a0a;
+    border-color: transparent;
+    color: white; }
+    .button.is-black:hover, .button.is-black.is-hovered {
+      background-color: #040404;
+      border-color: transparent;
+      color: white; }
+    .button.is-black:focus, .button.is-black.is-focused {
+      border-color: transparent;
+      color: white; }
+      .button.is-black:focus:not(:active), .button.is-black.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+    .button.is-black:active, .button.is-black.is-active {
+      background-color: black;
+      border-color: transparent;
+      color: white; }
+    .button.is-black[disabled], fieldset[disabled] .button.is-black {
+      background-color: #0a0a0a;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-black.is-inverted {
+      background-color: white;
+      color: #0a0a0a; }
+      .button.is-black.is-inverted:hover, .button.is-black.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-black.is-inverted[disabled], fieldset[disabled] .button.is-black.is-inverted {
+        background-color: white;
+        border-color: transparent;
+        box-shadow: none;
+        color: #0a0a0a; }
+    .button.is-black.is-loading::after {
+      border-color: transparent transparent white white !important; }
+    .button.is-black.is-outlined {
+      background-color: transparent;
+      border-color: #0a0a0a;
+      color: #0a0a0a; }
+      .button.is-black.is-outlined:hover, .button.is-black.is-outlined.is-hovered, .button.is-black.is-outlined:focus, .button.is-black.is-outlined.is-focused {
+        background-color: #0a0a0a;
+        border-color: #0a0a0a;
+        color: white; }
+      .button.is-black.is-outlined.is-loading::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      .button.is-black.is-outlined.is-loading:hover::after, .button.is-black.is-outlined.is-loading.is-hovered::after, .button.is-black.is-outlined.is-loading:focus::after, .button.is-black.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent white white !important; }
+      .button.is-black.is-outlined[disabled], fieldset[disabled] .button.is-black.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        box-shadow: none;
+        color: #0a0a0a; }
+    .button.is-black.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: white;
+      color: white; }
+      .button.is-black.is-inverted.is-outlined:hover, .button.is-black.is-inverted.is-outlined.is-hovered, .button.is-black.is-inverted.is-outlined:focus, .button.is-black.is-inverted.is-outlined.is-focused {
+        background-color: white;
+        color: #0a0a0a; }
+      .button.is-black.is-inverted.is-outlined.is-loading:hover::after, .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-black.is-inverted.is-outlined.is-loading:focus::after, .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      .button.is-black.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-black.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        box-shadow: none;
+        color: white; }
+  .button.is-light {
+    background-color: whitesmoke;
+    border-color: transparent;
+    color: #363636; }
+    .button.is-light:hover, .button.is-light.is-hovered {
+      background-color: #eeeeee;
+      border-color: transparent;
+      color: #363636; }
+    .button.is-light:focus, .button.is-light.is-focused {
+      border-color: transparent;
+      color: #363636; }
+      .button.is-light:focus:not(:active), .button.is-light.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); }
+    .button.is-light:active, .button.is-light.is-active {
+      background-color: #e8e8e8;
+      border-color: transparent;
+      color: #363636; }
+    .button.is-light[disabled], fieldset[disabled] .button.is-light {
+      background-color: whitesmoke;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-light.is-inverted {
+      background-color: #363636;
+      color: whitesmoke; }
+      .button.is-light.is-inverted:hover, .button.is-light.is-inverted.is-hovered {
+        background-color: #292929; }
+      .button.is-light.is-inverted[disabled], fieldset[disabled] .button.is-light.is-inverted {
+        background-color: #363636;
+        border-color: transparent;
+        box-shadow: none;
+        color: whitesmoke; }
+    .button.is-light.is-loading::after {
+      border-color: transparent transparent #363636 #363636 !important; }
+    .button.is-light.is-outlined {
+      background-color: transparent;
+      border-color: whitesmoke;
+      color: whitesmoke; }
+      .button.is-light.is-outlined:hover, .button.is-light.is-outlined.is-hovered, .button.is-light.is-outlined:focus, .button.is-light.is-outlined.is-focused {
+        background-color: whitesmoke;
+        border-color: whitesmoke;
+        color: #363636; }
+      .button.is-light.is-outlined.is-loading::after {
+        border-color: transparent transparent whitesmoke whitesmoke !important; }
+      .button.is-light.is-outlined.is-loading:hover::after, .button.is-light.is-outlined.is-loading.is-hovered::after, .button.is-light.is-outlined.is-loading:focus::after, .button.is-light.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #363636 #363636 !important; }
+      .button.is-light.is-outlined[disabled], fieldset[disabled] .button.is-light.is-outlined {
+        background-color: transparent;
+        border-color: whitesmoke;
+        box-shadow: none;
+        color: whitesmoke; }
+    .button.is-light.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #363636;
+      color: #363636; }
+      .button.is-light.is-inverted.is-outlined:hover, .button.is-light.is-inverted.is-outlined.is-hovered, .button.is-light.is-inverted.is-outlined:focus, .button.is-light.is-inverted.is-outlined.is-focused {
+        background-color: #363636;
+        color: whitesmoke; }
+      .button.is-light.is-inverted.is-outlined.is-loading:hover::after, .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-light.is-inverted.is-outlined.is-loading:focus::after, .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent whitesmoke whitesmoke !important; }
+      .button.is-light.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-light.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #363636;
+        box-shadow: none;
+        color: #363636; }
+  .button.is-dark, .content kbd.button {
+    background-color: #363636;
+    border-color: transparent;
+    color: whitesmoke; }
+    .button.is-dark:hover, .content kbd.button:hover, .button.is-dark.is-hovered, .content kbd.button.is-hovered {
+      background-color: #2f2f2f;
+      border-color: transparent;
+      color: whitesmoke; }
+    .button.is-dark:focus, .content kbd.button:focus, .button.is-dark.is-focused, .content kbd.button.is-focused {
+      border-color: transparent;
+      color: whitesmoke; }
+      .button.is-dark:focus:not(:active), .content kbd.button:focus:not(:active), .button.is-dark.is-focused:not(:active), .content kbd.button.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); }
+    .button.is-dark:active, .content kbd.button:active, .button.is-dark.is-active, .content kbd.button.is-active {
+      background-color: #292929;
+      border-color: transparent;
+      color: whitesmoke; }
+    .button.is-dark[disabled], .content kbd.button[disabled], fieldset[disabled] .button.is-dark, fieldset[disabled] .content kbd.button, .content fieldset[disabled] kbd.button {
+      background-color: #363636;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-dark.is-inverted, .content kbd.button.is-inverted {
+      background-color: whitesmoke;
+      color: #363636; }
+      .button.is-dark.is-inverted:hover, .content kbd.button.is-inverted:hover, .button.is-dark.is-inverted.is-hovered, .content kbd.button.is-inverted.is-hovered {
+        background-color: #e8e8e8; }
+      .button.is-dark.is-inverted[disabled], .content kbd.button.is-inverted[disabled], fieldset[disabled] .button.is-dark.is-inverted, fieldset[disabled] .content kbd.button.is-inverted, .content fieldset[disabled] kbd.button.is-inverted {
+        background-color: whitesmoke;
+        border-color: transparent;
+        box-shadow: none;
+        color: #363636; }
+    .button.is-dark.is-loading::after, .content kbd.button.is-loading::after {
+      border-color: transparent transparent whitesmoke whitesmoke !important; }
+    .button.is-dark.is-outlined, .content kbd.button.is-outlined {
+      background-color: transparent;
+      border-color: #363636;
+      color: #363636; }
+      .button.is-dark.is-outlined:hover, .content kbd.button.is-outlined:hover, .button.is-dark.is-outlined.is-hovered, .content kbd.button.is-outlined.is-hovered, .button.is-dark.is-outlined:focus, .content kbd.button.is-outlined:focus, .button.is-dark.is-outlined.is-focused, .content kbd.button.is-outlined.is-focused {
+        background-color: #363636;
+        border-color: #363636;
+        color: whitesmoke; }
+      .button.is-dark.is-outlined.is-loading::after, .content kbd.button.is-outlined.is-loading::after {
+        border-color: transparent transparent #363636 #363636 !important; }
+      .button.is-dark.is-outlined.is-loading:hover::after, .content kbd.button.is-outlined.is-loading:hover::after, .button.is-dark.is-outlined.is-loading.is-hovered::after, .content kbd.button.is-outlined.is-loading.is-hovered::after, .button.is-dark.is-outlined.is-loading:focus::after, .content kbd.button.is-outlined.is-loading:focus::after, .button.is-dark.is-outlined.is-loading.is-focused::after, .content kbd.button.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent whitesmoke whitesmoke !important; }
+      .button.is-dark.is-outlined[disabled], .content kbd.button.is-outlined[disabled], fieldset[disabled] .button.is-dark.is-outlined, fieldset[disabled] .content kbd.button.is-outlined, .content fieldset[disabled] kbd.button.is-outlined {
+        background-color: transparent;
+        border-color: #363636;
+        box-shadow: none;
+        color: #363636; }
+    .button.is-dark.is-inverted.is-outlined, .content kbd.button.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: whitesmoke;
+      color: whitesmoke; }
+      .button.is-dark.is-inverted.is-outlined:hover, .content kbd.button.is-inverted.is-outlined:hover, .button.is-dark.is-inverted.is-outlined.is-hovered, .content kbd.button.is-inverted.is-outlined.is-hovered, .button.is-dark.is-inverted.is-outlined:focus, .content kbd.button.is-inverted.is-outlined:focus, .button.is-dark.is-inverted.is-outlined.is-focused, .content kbd.button.is-inverted.is-outlined.is-focused {
+        background-color: whitesmoke;
+        color: #363636; }
+      .button.is-dark.is-inverted.is-outlined.is-loading:hover::after, .content kbd.button.is-inverted.is-outlined.is-loading:hover::after, .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after, .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-dark.is-inverted.is-outlined.is-loading:focus::after, .content kbd.button.is-inverted.is-outlined.is-loading:focus::after, .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after, .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #363636 #363636 !important; }
+      .button.is-dark.is-inverted.is-outlined[disabled], .content kbd.button.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-dark.is-inverted.is-outlined, fieldset[disabled] .content kbd.button.is-inverted.is-outlined, .content fieldset[disabled] kbd.button.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: whitesmoke;
+        box-shadow: none;
+        color: whitesmoke; }
+  .button.is-primary, .docstring > section > a.button.docs-sourcelink {
+    background-color: #4eb5de;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-primary:hover, .docstring > section > a.button.docs-sourcelink:hover, .button.is-primary.is-hovered, .docstring > section > a.button.is-hovered.docs-sourcelink {
+      background-color: #43b1dc;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-primary:focus, .docstring > section > a.button.docs-sourcelink:focus, .button.is-primary.is-focused, .docstring > section > a.button.is-focused.docs-sourcelink {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-primary:focus:not(:active), .docstring > section > a.button.docs-sourcelink:focus:not(:active), .button.is-primary.is-focused:not(:active), .docstring > section > a.button.is-focused.docs-sourcelink:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); }
+    .button.is-primary:active, .docstring > section > a.button.docs-sourcelink:active, .button.is-primary.is-active, .docstring > section > a.button.is-active.docs-sourcelink {
+      background-color: #39acda;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-primary[disabled], .docstring > section > a.button.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary, fieldset[disabled] .docstring > section > a.button.docs-sourcelink {
+      background-color: #4eb5de;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-primary.is-inverted, .docstring > section > a.button.is-inverted.docs-sourcelink {
+      background-color: #fff;
+      color: #4eb5de; }
+      .button.is-primary.is-inverted:hover, .docstring > section > a.button.is-inverted.docs-sourcelink:hover, .button.is-primary.is-inverted.is-hovered, .docstring > section > a.button.is-inverted.is-hovered.docs-sourcelink {
+        background-color: #f2f2f2; }
+      .button.is-primary.is-inverted[disabled], .docstring > section > a.button.is-inverted.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-inverted, fieldset[disabled] .docstring > section > a.button.is-inverted.docs-sourcelink {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #4eb5de; }
+    .button.is-primary.is-loading::after, .docstring > section > a.button.is-loading.docs-sourcelink::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-primary.is-outlined, .docstring > section > a.button.is-outlined.docs-sourcelink {
+      background-color: transparent;
+      border-color: #4eb5de;
+      color: #4eb5de; }
+      .button.is-primary.is-outlined:hover, .docstring > section > a.button.is-outlined.docs-sourcelink:hover, .button.is-primary.is-outlined.is-hovered, .docstring > section > a.button.is-outlined.is-hovered.docs-sourcelink, .button.is-primary.is-outlined:focus, .docstring > section > a.button.is-outlined.docs-sourcelink:focus, .button.is-primary.is-outlined.is-focused, .docstring > section > a.button.is-outlined.is-focused.docs-sourcelink {
+        background-color: #4eb5de;
+        border-color: #4eb5de;
+        color: #fff; }
+      .button.is-primary.is-outlined.is-loading::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink::after {
+        border-color: transparent transparent #4eb5de #4eb5de !important; }
+      .button.is-primary.is-outlined.is-loading:hover::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:hover::after, .button.is-primary.is-outlined.is-loading.is-hovered::after, .docstring > section > a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after, .button.is-primary.is-outlined.is-loading:focus::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:focus::after, .button.is-primary.is-outlined.is-loading.is-focused::after, .docstring > section > a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-primary.is-outlined[disabled], .docstring > section > a.button.is-outlined.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-outlined, fieldset[disabled] .docstring > section > a.button.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #4eb5de;
+        box-shadow: none;
+        color: #4eb5de; }
+    .button.is-primary.is-inverted.is-outlined, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-primary.is-inverted.is-outlined:hover, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:hover, .button.is-primary.is-inverted.is-outlined.is-hovered, .docstring > section > a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink, .button.is-primary.is-inverted.is-outlined:focus, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:focus, .button.is-primary.is-inverted.is-outlined.is-focused, .docstring > section > a.button.is-inverted.is-outlined.is-focused.docs-sourcelink {
+        background-color: #fff;
+        color: #4eb5de; }
+      .button.is-primary.is-inverted.is-outlined.is-loading:hover::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after, .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after, .button.is-primary.is-inverted.is-outlined.is-loading:focus::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after, .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+        border-color: transparent transparent #4eb5de #4eb5de !important; }
+      .button.is-primary.is-inverted.is-outlined[disabled], .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-inverted.is-outlined, fieldset[disabled] .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-link {
+    background-color: #2e63b8;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-link:hover, .button.is-link.is-hovered {
+      background-color: #2b5eae;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-link:focus, .button.is-link.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-link:focus:not(:active), .button.is-link.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+    .button.is-link:active, .button.is-link.is-active {
+      background-color: #2958a4;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-link[disabled], fieldset[disabled] .button.is-link {
+      background-color: #2e63b8;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-link.is-inverted {
+      background-color: #fff;
+      color: #2e63b8; }
+      .button.is-link.is-inverted:hover, .button.is-link.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-link.is-inverted[disabled], fieldset[disabled] .button.is-link.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #2e63b8; }
+    .button.is-link.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-link.is-outlined {
+      background-color: transparent;
+      border-color: #2e63b8;
+      color: #2e63b8; }
+      .button.is-link.is-outlined:hover, .button.is-link.is-outlined.is-hovered, .button.is-link.is-outlined:focus, .button.is-link.is-outlined.is-focused {
+        background-color: #2e63b8;
+        border-color: #2e63b8;
+        color: #fff; }
+      .button.is-link.is-outlined.is-loading::after {
+        border-color: transparent transparent #2e63b8 #2e63b8 !important; }
+      .button.is-link.is-outlined.is-loading:hover::after, .button.is-link.is-outlined.is-loading.is-hovered::after, .button.is-link.is-outlined.is-loading:focus::after, .button.is-link.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-link.is-outlined[disabled], fieldset[disabled] .button.is-link.is-outlined {
+        background-color: transparent;
+        border-color: #2e63b8;
+        box-shadow: none;
+        color: #2e63b8; }
+    .button.is-link.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-link.is-inverted.is-outlined:hover, .button.is-link.is-inverted.is-outlined.is-hovered, .button.is-link.is-inverted.is-outlined:focus, .button.is-link.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #2e63b8; }
+      .button.is-link.is-inverted.is-outlined.is-loading:hover::after, .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-link.is-inverted.is-outlined.is-loading:focus::after, .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #2e63b8 #2e63b8 !important; }
+      .button.is-link.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-link.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-info {
+    background-color: #209cee;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-info:hover, .button.is-info.is-hovered {
+      background-color: #1497ed;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-info:focus, .button.is-info.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-info:focus:not(:active), .button.is-info.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); }
+    .button.is-info:active, .button.is-info.is-active {
+      background-color: #1190e3;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-info[disabled], fieldset[disabled] .button.is-info {
+      background-color: #209cee;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-info.is-inverted {
+      background-color: #fff;
+      color: #209cee; }
+      .button.is-info.is-inverted:hover, .button.is-info.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-info.is-inverted[disabled], fieldset[disabled] .button.is-info.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #209cee; }
+    .button.is-info.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-info.is-outlined {
+      background-color: transparent;
+      border-color: #209cee;
+      color: #209cee; }
+      .button.is-info.is-outlined:hover, .button.is-info.is-outlined.is-hovered, .button.is-info.is-outlined:focus, .button.is-info.is-outlined.is-focused {
+        background-color: #209cee;
+        border-color: #209cee;
+        color: #fff; }
+      .button.is-info.is-outlined.is-loading::after {
+        border-color: transparent transparent #209cee #209cee !important; }
+      .button.is-info.is-outlined.is-loading:hover::after, .button.is-info.is-outlined.is-loading.is-hovered::after, .button.is-info.is-outlined.is-loading:focus::after, .button.is-info.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-info.is-outlined[disabled], fieldset[disabled] .button.is-info.is-outlined {
+        background-color: transparent;
+        border-color: #209cee;
+        box-shadow: none;
+        color: #209cee; }
+    .button.is-info.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-info.is-inverted.is-outlined:hover, .button.is-info.is-inverted.is-outlined.is-hovered, .button.is-info.is-inverted.is-outlined:focus, .button.is-info.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #209cee; }
+      .button.is-info.is-inverted.is-outlined.is-loading:hover::after, .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-info.is-inverted.is-outlined.is-loading:focus::after, .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #209cee #209cee !important; }
+      .button.is-info.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-info.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-success {
+    background-color: #22c35b;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-success:hover, .button.is-success.is-hovered {
+      background-color: #20b856;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-success:focus, .button.is-success.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-success:focus:not(:active), .button.is-success.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); }
+    .button.is-success:active, .button.is-success.is-active {
+      background-color: #1ead51;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-success[disabled], fieldset[disabled] .button.is-success {
+      background-color: #22c35b;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-success.is-inverted {
+      background-color: #fff;
+      color: #22c35b; }
+      .button.is-success.is-inverted:hover, .button.is-success.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-success.is-inverted[disabled], fieldset[disabled] .button.is-success.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #22c35b; }
+    .button.is-success.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-success.is-outlined {
+      background-color: transparent;
+      border-color: #22c35b;
+      color: #22c35b; }
+      .button.is-success.is-outlined:hover, .button.is-success.is-outlined.is-hovered, .button.is-success.is-outlined:focus, .button.is-success.is-outlined.is-focused {
+        background-color: #22c35b;
+        border-color: #22c35b;
+        color: #fff; }
+      .button.is-success.is-outlined.is-loading::after {
+        border-color: transparent transparent #22c35b #22c35b !important; }
+      .button.is-success.is-outlined.is-loading:hover::after, .button.is-success.is-outlined.is-loading.is-hovered::after, .button.is-success.is-outlined.is-loading:focus::after, .button.is-success.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-success.is-outlined[disabled], fieldset[disabled] .button.is-success.is-outlined {
+        background-color: transparent;
+        border-color: #22c35b;
+        box-shadow: none;
+        color: #22c35b; }
+    .button.is-success.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-success.is-inverted.is-outlined:hover, .button.is-success.is-inverted.is-outlined.is-hovered, .button.is-success.is-inverted.is-outlined:focus, .button.is-success.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #22c35b; }
+      .button.is-success.is-inverted.is-outlined.is-loading:hover::after, .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-success.is-inverted.is-outlined.is-loading:focus::after, .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #22c35b #22c35b !important; }
+      .button.is-success.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-success.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-warning {
+    background-color: #ffdd57;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+    .button.is-warning:hover, .button.is-warning.is-hovered {
+      background-color: #ffda4a;
+      border-color: transparent;
+      color: rgba(0, 0, 0, 0.7); }
+    .button.is-warning:focus, .button.is-warning.is-focused {
+      border-color: transparent;
+      color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning:focus:not(:active), .button.is-warning.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); }
+    .button.is-warning:active, .button.is-warning.is-active {
+      background-color: #ffd83e;
+      border-color: transparent;
+      color: rgba(0, 0, 0, 0.7); }
+    .button.is-warning[disabled], fieldset[disabled] .button.is-warning {
+      background-color: #ffdd57;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-warning.is-inverted {
+      background-color: rgba(0, 0, 0, 0.7);
+      color: #ffdd57; }
+      .button.is-warning.is-inverted:hover, .button.is-warning.is-inverted.is-hovered {
+        background-color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning.is-inverted[disabled], fieldset[disabled] .button.is-warning.is-inverted {
+        background-color: rgba(0, 0, 0, 0.7);
+        border-color: transparent;
+        box-shadow: none;
+        color: #ffdd57; }
+    .button.is-warning.is-loading::after {
+      border-color: transparent transparent rgba(0, 0, 0, 0.7) rgba(0, 0, 0, 0.7) !important; }
+    .button.is-warning.is-outlined {
+      background-color: transparent;
+      border-color: #ffdd57;
+      color: #ffdd57; }
+      .button.is-warning.is-outlined:hover, .button.is-warning.is-outlined.is-hovered, .button.is-warning.is-outlined:focus, .button.is-warning.is-outlined.is-focused {
+        background-color: #ffdd57;
+        border-color: #ffdd57;
+        color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning.is-outlined.is-loading::after {
+        border-color: transparent transparent #ffdd57 #ffdd57 !important; }
+      .button.is-warning.is-outlined.is-loading:hover::after, .button.is-warning.is-outlined.is-loading.is-hovered::after, .button.is-warning.is-outlined.is-loading:focus::after, .button.is-warning.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent rgba(0, 0, 0, 0.7) rgba(0, 0, 0, 0.7) !important; }
+      .button.is-warning.is-outlined[disabled], fieldset[disabled] .button.is-warning.is-outlined {
+        background-color: transparent;
+        border-color: #ffdd57;
+        box-shadow: none;
+        color: #ffdd57; }
+    .button.is-warning.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: rgba(0, 0, 0, 0.7);
+      color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning.is-inverted.is-outlined:hover, .button.is-warning.is-inverted.is-outlined.is-hovered, .button.is-warning.is-inverted.is-outlined:focus, .button.is-warning.is-inverted.is-outlined.is-focused {
+        background-color: rgba(0, 0, 0, 0.7);
+        color: #ffdd57; }
+      .button.is-warning.is-inverted.is-outlined.is-loading:hover::after, .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-warning.is-inverted.is-outlined.is-loading:focus::after, .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #ffdd57 #ffdd57 !important; }
+      .button.is-warning.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-warning.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: rgba(0, 0, 0, 0.7);
+        box-shadow: none;
+        color: rgba(0, 0, 0, 0.7); }
+  .button.is-danger {
+    background-color: #da0b00;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-danger:hover, .button.is-danger.is-hovered {
+      background-color: #cd0a00;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-danger:focus, .button.is-danger.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-danger:focus:not(:active), .button.is-danger.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); }
+    .button.is-danger:active, .button.is-danger.is-active {
+      background-color: #c10a00;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-danger[disabled], fieldset[disabled] .button.is-danger {
+      background-color: #da0b00;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-danger.is-inverted {
+      background-color: #fff;
+      color: #da0b00; }
+      .button.is-danger.is-inverted:hover, .button.is-danger.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-danger.is-inverted[disabled], fieldset[disabled] .button.is-danger.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #da0b00; }
+    .button.is-danger.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-danger.is-outlined {
+      background-color: transparent;
+      border-color: #da0b00;
+      color: #da0b00; }
+      .button.is-danger.is-outlined:hover, .button.is-danger.is-outlined.is-hovered, .button.is-danger.is-outlined:focus, .button.is-danger.is-outlined.is-focused {
+        background-color: #da0b00;
+        border-color: #da0b00;
+        color: #fff; }
+      .button.is-danger.is-outlined.is-loading::after {
+        border-color: transparent transparent #da0b00 #da0b00 !important; }
+      .button.is-danger.is-outlined.is-loading:hover::after, .button.is-danger.is-outlined.is-loading.is-hovered::after, .button.is-danger.is-outlined.is-loading:focus::after, .button.is-danger.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-danger.is-outlined[disabled], fieldset[disabled] .button.is-danger.is-outlined {
+        background-color: transparent;
+        border-color: #da0b00;
+        box-shadow: none;
+        color: #da0b00; }
+    .button.is-danger.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-danger.is-inverted.is-outlined:hover, .button.is-danger.is-inverted.is-outlined.is-hovered, .button.is-danger.is-inverted.is-outlined:focus, .button.is-danger.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #da0b00; }
+      .button.is-danger.is-inverted.is-outlined.is-loading:hover::after, .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-danger.is-inverted.is-outlined.is-loading:focus::after, .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #da0b00 #da0b00 !important; }
+      .button.is-danger.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-danger.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-small, #documenter .docs-sidebar form.docs-search > input.button {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .button.is-normal {
+    font-size: 1rem; }
+  .button.is-medium {
+    font-size: 1.25rem; }
+  .button.is-large {
+    font-size: 1.5rem; }
+  .button[disabled], fieldset[disabled] .button {
+    background-color: white;
+    border-color: #dbdbdb;
+    box-shadow: none;
+    opacity: 0.5; }
+  .button.is-fullwidth {
+    display: flex;
+    width: 100%; }
+  .button.is-loading {
+    color: transparent !important;
+    pointer-events: none; }
+    .button.is-loading::after {
+      position: absolute;
+      left: calc(50% - (1em / 2));
+      top: calc(50% - (1em / 2));
+      position: absolute !important; }
+  .button.is-static {
+    background-color: whitesmoke;
+    border-color: #dbdbdb;
+    color: #6b6b6b;
+    box-shadow: none;
+    pointer-events: none; }
+  .button.is-rounded, #documenter .docs-sidebar form.docs-search > input.button {
+    border-radius: 290486px;
+    padding-left: 1em;
+    padding-right: 1em; }
+
+.buttons {
+  align-items: center;
+  display: flex;
+  flex-wrap: wrap;
+  justify-content: flex-start; }
+  .buttons .button {
+    margin-bottom: 0.5rem; }
+    .buttons .button:not(:last-child):not(.is-fullwidth) {
+      margin-right: 0.5rem; }
+  .buttons:last-child {
+    margin-bottom: -0.5rem; }
+  .buttons:not(:last-child) {
+    margin-bottom: 1rem; }
+  .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large) {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large) {
+    font-size: 1.25rem; }
+  .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium) {
+    font-size: 1.5rem; }
+  .buttons.has-addons .button:not(:first-child) {
+    border-bottom-left-radius: 0;
+    border-top-left-radius: 0; }
+  .buttons.has-addons .button:not(:last-child) {
+    border-bottom-right-radius: 0;
+    border-top-right-radius: 0;
+    margin-right: -1px; }
+  .buttons.has-addons .button:last-child {
+    margin-right: 0; }
+  .buttons.has-addons .button:hover, .buttons.has-addons .button.is-hovered {
+    z-index: 2; }
+  .buttons.has-addons .button:focus, .buttons.has-addons .button.is-focused, .buttons.has-addons .button:active, .buttons.has-addons .button.is-active, .buttons.has-addons .button.is-selected {
+    z-index: 3; }
+    .buttons.has-addons .button:focus:hover, .buttons.has-addons .button.is-focused:hover, .buttons.has-addons .button:active:hover, .buttons.has-addons .button.is-active:hover, .buttons.has-addons .button.is-selected:hover {
+      z-index: 4; }
+  .buttons.has-addons .button.is-expanded {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .buttons.is-centered {
+    justify-content: center; }
+    .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth) {
+      margin-left: 0.25rem;
+      margin-right: 0.25rem; }
+  .buttons.is-right {
+    justify-content: flex-end; }
+    .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth) {
+      margin-left: 0.25rem;
+      margin-right: 0.25rem; }
+
+.container {
+  flex-grow: 1;
+  margin: 0 auto;
+  position: relative;
+  width: auto; }
+  @media screen and (min-width: 1056px) {
+    .container {
+      max-width: 992px; }
+      .container.is-fluid {
+        margin-left: 32px;
+        margin-right: 32px;
+        max-width: none; } }
+  @media screen and (max-width: 1215px) {
+    .container.is-widescreen {
+      max-width: 1152px; } }
+  @media screen and (max-width: 1407px) {
+    .container.is-fullhd {
+      max-width: 1344px; } }
+  @media screen and (min-width: 1216px) {
+    .container {
+      max-width: 1152px; } }
+  @media screen and (min-width: 1408px) {
+    .container {
+      max-width: 1344px; } }
+.content li + li {
+  margin-top: 0.25em; }
+
+.content p:not(:last-child),
+.content dl:not(:last-child),
+.content ol:not(:last-child),
+.content ul:not(:last-child),
+.content blockquote:not(:last-child),
+.content pre:not(:last-child),
+.content table:not(:last-child) {
+  margin-bottom: 1em; }
+
+.content h1,
+.content h2,
+.content h3,
+.content h4,
+.content h5,
+.content h6 {
+  color: #222222;
+  font-weight: 600;
+  line-height: 1.125; }
+
+.content h1 {
+  font-size: 2em;
+  margin-bottom: 0.5em; }
+  .content h1:not(:first-child) {
+    margin-top: 1em; }
+
+.content h2 {
+  font-size: 1.75em;
+  margin-bottom: 0.5714em; }
+  .content h2:not(:first-child) {
+    margin-top: 1.1428em; }
+
+.content h3 {
+  font-size: 1.5em;
+  margin-bottom: 0.6666em; }
+  .content h3:not(:first-child) {
+    margin-top: 1.3333em; }
+
+.content h4 {
+  font-size: 1.25em;
+  margin-bottom: 0.8em; }
+
+.content h5 {
+  font-size: 1.125em;
+  margin-bottom: 0.8888em; }
+
+.content h6 {
+  font-size: 1em;
+  margin-bottom: 1em; }
+
+.content blockquote {
+  background-color: whitesmoke;
+  border-left: 5px solid #dbdbdb;
+  padding: 1.25em 1.5em; }
+
+.content ol {
+  list-style-position: outside;
+  margin-left: 2em;
+  margin-top: 1em; }
+  .content ol:not([type]) {
+    list-style-type: decimal; }
+    .content ol.is-lower-alpha:not([type]) {
+      list-style-type: lower-alpha; }
+    .content ol.is-lower-roman:not([type]) {
+      list-style-type: lower-roman; }
+    .content ol.is-upper-alpha:not([type]) {
+      list-style-type: upper-alpha; }
+    .content ol.is-upper-roman:not([type]) {
+      list-style-type: upper-roman; }
+
+.content ul {
+  list-style: disc outside;
+  margin-left: 2em;
+  margin-top: 1em; }
+  .content ul ul {
+    list-style-type: circle;
+    margin-top: 0.5em; }
+    .content ul ul ul {
+      list-style-type: square; }
+
+.content dd {
+  margin-left: 2em; }
+
+.content figure {
+  margin-left: 2em;
+  margin-right: 2em;
+  text-align: center; }
+  .content figure:not(:first-child) {
+    margin-top: 2em; }
+  .content figure:not(:last-child) {
+    margin-bottom: 2em; }
+  .content figure img {
+    display: inline-block; }
+  .content figure figcaption {
+    font-style: italic; }
+
+.content pre {
+  -webkit-overflow-scrolling: touch;
+  overflow-x: auto;
+  padding: 0;
+  white-space: pre;
+  word-wrap: normal; }
+
+.content sup,
+.content sub {
+  font-size: 75%; }
+
+.content table {
+  width: 100%; }
+  .content table td,
+  .content table th {
+    border: 1px solid #dbdbdb;
+    border-width: 0 0 1px;
+    padding: 0.5em 0.75em;
+    vertical-align: top; }
+  .content table th {
+    color: #222222; }
+    .content table th:not([align]) {
+      text-align: left; }
+  .content table thead td,
+  .content table thead th {
+    border-width: 0 0 2px;
+    color: #222222; }
+  .content table tfoot td,
+  .content table tfoot th {
+    border-width: 2px 0 0;
+    color: #222222; }
+  .content table tbody tr:last-child td,
+  .content table tbody tr:last-child th {
+    border-bottom-width: 0; }
+
+.content .tabs li + li {
+  margin-top: 0; }
+
+.content.is-small, #documenter .docs-sidebar form.docs-search > input.content {
+  font-size: 0.75rem; }
+
+.content.is-medium {
+  font-size: 1.25rem; }
+
+.content.is-large {
+  font-size: 1.5rem; }
+
+.icon {
+  align-items: center;
+  display: inline-flex;
+  justify-content: center;
+  height: 1.5rem;
+  width: 1.5rem; }
+  .icon.is-small, #documenter .docs-sidebar form.docs-search > input.icon {
+    height: 1rem;
+    width: 1rem; }
+  .icon.is-medium {
+    height: 2rem;
+    width: 2rem; }
+  .icon.is-large {
+    height: 3rem;
+    width: 3rem; }
+
+.image, #documenter .docs-sidebar .docs-logo > img {
+  display: block;
+  position: relative; }
+  .image img, #documenter .docs-sidebar .docs-logo > img img {
+    display: block;
+    height: auto;
+    width: 100%; }
+    .image img.is-rounded, #documenter .docs-sidebar .docs-logo > img img.is-rounded {
+      border-radius: 290486px; }
+  .image.is-square img, #documenter .docs-sidebar .docs-logo > img.is-square img,
+  .image.is-square .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, .image.is-1by1 img, #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+  .image.is-1by1 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, .image.is-5by4 img, #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+  .image.is-5by4 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, .image.is-4by3 img, #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+  .image.is-4by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, .image.is-3by2 img, #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+  .image.is-3by2 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, .image.is-5by3 img, #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+  .image.is-5by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, .image.is-16by9 img, #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+  .image.is-16by9 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, .image.is-2by1 img, #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+  .image.is-2by1 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, .image.is-3by1 img, #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+  .image.is-3by1 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, .image.is-4by5 img, #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+  .image.is-4by5 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, .image.is-3by4 img, #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+  .image.is-3by4 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, .image.is-2by3 img, #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+  .image.is-2by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, .image.is-3by5 img, #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+  .image.is-3by5 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, .image.is-9by16 img, #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+  .image.is-9by16 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, .image.is-1by2 img, #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+  .image.is-1by2 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, .image.is-1by3 img, #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+  .image.is-1by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio {
+    height: 100%;
+    width: 100%; }
+  .image.is-square, #documenter .docs-sidebar .docs-logo > img.is-square, .image.is-1by1, #documenter .docs-sidebar .docs-logo > img.is-1by1 {
+    padding-top: 100%; }
+  .image.is-5by4, #documenter .docs-sidebar .docs-logo > img.is-5by4 {
+    padding-top: 80%; }
+  .image.is-4by3, #documenter .docs-sidebar .docs-logo > img.is-4by3 {
+    padding-top: 75%; }
+  .image.is-3by2, #documenter .docs-sidebar .docs-logo > img.is-3by2 {
+    padding-top: 66.6666%; }
+  .image.is-5by3, #documenter .docs-sidebar .docs-logo > img.is-5by3 {
+    padding-top: 60%; }
+  .image.is-16by9, #documenter .docs-sidebar .docs-logo > img.is-16by9 {
+    padding-top: 56.25%; }
+  .image.is-2by1, #documenter .docs-sidebar .docs-logo > img.is-2by1 {
+    padding-top: 50%; }
+  .image.is-3by1, #documenter .docs-sidebar .docs-logo > img.is-3by1 {
+    padding-top: 33.3333%; }
+  .image.is-4by5, #documenter .docs-sidebar .docs-logo > img.is-4by5 {
+    padding-top: 125%; }
+  .image.is-3by4, #documenter .docs-sidebar .docs-logo > img.is-3by4 {
+    padding-top: 133.3333%; }
+  .image.is-2by3, #documenter .docs-sidebar .docs-logo > img.is-2by3 {
+    padding-top: 150%; }
+  .image.is-3by5, #documenter .docs-sidebar .docs-logo > img.is-3by5 {
+    padding-top: 166.6666%; }
+  .image.is-9by16, #documenter .docs-sidebar .docs-logo > img.is-9by16 {
+    padding-top: 177.7777%; }
+  .image.is-1by2, #documenter .docs-sidebar .docs-logo > img.is-1by2 {
+    padding-top: 200%; }
+  .image.is-1by3, #documenter .docs-sidebar .docs-logo > img.is-1by3 {
+    padding-top: 300%; }
+  .image.is-16x16, #documenter .docs-sidebar .docs-logo > img.is-16x16 {
+    height: 16px;
+    width: 16px; }
+  .image.is-24x24, #documenter .docs-sidebar .docs-logo > img.is-24x24 {
+    height: 24px;
+    width: 24px; }
+  .image.is-32x32, #documenter .docs-sidebar .docs-logo > img.is-32x32 {
+    height: 32px;
+    width: 32px; }
+  .image.is-48x48, #documenter .docs-sidebar .docs-logo > img.is-48x48 {
+    height: 48px;
+    width: 48px; }
+  .image.is-64x64, #documenter .docs-sidebar .docs-logo > img.is-64x64 {
+    height: 64px;
+    width: 64px; }
+  .image.is-96x96, #documenter .docs-sidebar .docs-logo > img.is-96x96 {
+    height: 96px;
+    width: 96px; }
+  .image.is-128x128, #documenter .docs-sidebar .docs-logo > img.is-128x128 {
+    height: 128px;
+    width: 128px; }
+
+.notification {
+  background-color: whitesmoke;
+  border-radius: 4px;
+  padding: 1.25rem 2.5rem 1.25rem 1.5rem;
+  position: relative; }
+  .notification a:not(.button):not(.dropdown-item) {
+    color: currentColor;
+    text-decoration: underline; }
+  .notification strong {
+    color: currentColor; }
+  .notification code,
+  .notification pre {
+    background: white; }
+  .notification pre code {
+    background: transparent; }
+  .notification > .delete {
+    position: absolute;
+    right: 0.5rem;
+    top: 0.5rem; }
+  .notification .title,
+  .notification .subtitle,
+  .notification .content {
+    color: currentColor; }
+  .notification.is-white {
+    background-color: white;
+    color: #0a0a0a; }
+  .notification.is-black {
+    background-color: #0a0a0a;
+    color: white; }
+  .notification.is-light {
+    background-color: whitesmoke;
+    color: #363636; }
+  .notification.is-dark, .content kbd.notification {
+    background-color: #363636;
+    color: whitesmoke; }
+  .notification.is-primary, .docstring > section > a.notification.docs-sourcelink {
+    background-color: #4eb5de;
+    color: #fff; }
+  .notification.is-link {
+    background-color: #2e63b8;
+    color: #fff; }
+  .notification.is-info {
+    background-color: #209cee;
+    color: #fff; }
+  .notification.is-success {
+    background-color: #22c35b;
+    color: #fff; }
+  .notification.is-warning {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+  .notification.is-danger {
+    background-color: #da0b00;
+    color: #fff; }
+
+.progress {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  border: none;
+  border-radius: 290486px;
+  display: block;
+  height: 1rem;
+  overflow: hidden;
+  padding: 0;
+  width: 100%; }
+  .progress::-webkit-progress-bar {
+    background-color: #dbdbdb; }
+  .progress::-webkit-progress-value {
+    background-color: #222222; }
+  .progress::-moz-progress-bar {
+    background-color: #222222; }
+  .progress::-ms-fill {
+    background-color: #222222;
+    border: none; }
+  .progress.is-white::-webkit-progress-value {
+    background-color: white; }
+  .progress.is-white::-moz-progress-bar {
+    background-color: white; }
+  .progress.is-white::-ms-fill {
+    background-color: white; }
+  .progress.is-white:indeterminate {
+    background-image: linear-gradient(to right, white 30%, #dbdbdb 30%); }
+  .progress.is-black::-webkit-progress-value {
+    background-color: #0a0a0a; }
+  .progress.is-black::-moz-progress-bar {
+    background-color: #0a0a0a; }
+  .progress.is-black::-ms-fill {
+    background-color: #0a0a0a; }
+  .progress.is-black:indeterminate {
+    background-image: linear-gradient(to right, #0a0a0a 30%, #dbdbdb 30%); }
+  .progress.is-light::-webkit-progress-value {
+    background-color: whitesmoke; }
+  .progress.is-light::-moz-progress-bar {
+    background-color: whitesmoke; }
+  .progress.is-light::-ms-fill {
+    background-color: whitesmoke; }
+  .progress.is-light:indeterminate {
+    background-image: linear-gradient(to right, whitesmoke 30%, #dbdbdb 30%); }
+  .progress.is-dark::-webkit-progress-value, .content kbd.progress::-webkit-progress-value {
+    background-color: #363636; }
+  .progress.is-dark::-moz-progress-bar, .content kbd.progress::-moz-progress-bar {
+    background-color: #363636; }
+  .progress.is-dark::-ms-fill, .content kbd.progress::-ms-fill {
+    background-color: #363636; }
+  .progress.is-dark:indeterminate, .content kbd.progress:indeterminate {
+    background-image: linear-gradient(to right, #363636 30%, #dbdbdb 30%); }
+  .progress.is-primary::-webkit-progress-value, .docstring > section > a.progress.docs-sourcelink::-webkit-progress-value {
+    background-color: #4eb5de; }
+  .progress.is-primary::-moz-progress-bar, .docstring > section > a.progress.docs-sourcelink::-moz-progress-bar {
+    background-color: #4eb5de; }
+  .progress.is-primary::-ms-fill, .docstring > section > a.progress.docs-sourcelink::-ms-fill {
+    background-color: #4eb5de; }
+  .progress.is-primary:indeterminate, .docstring > section > a.progress.docs-sourcelink:indeterminate {
+    background-image: linear-gradient(to right, #4eb5de 30%, #dbdbdb 30%); }
+  .progress.is-link::-webkit-progress-value {
+    background-color: #2e63b8; }
+  .progress.is-link::-moz-progress-bar {
+    background-color: #2e63b8; }
+  .progress.is-link::-ms-fill {
+    background-color: #2e63b8; }
+  .progress.is-link:indeterminate {
+    background-image: linear-gradient(to right, #2e63b8 30%, #dbdbdb 30%); }
+  .progress.is-info::-webkit-progress-value {
+    background-color: #209cee; }
+  .progress.is-info::-moz-progress-bar {
+    background-color: #209cee; }
+  .progress.is-info::-ms-fill {
+    background-color: #209cee; }
+  .progress.is-info:indeterminate {
+    background-image: linear-gradient(to right, #209cee 30%, #dbdbdb 30%); }
+  .progress.is-success::-webkit-progress-value {
+    background-color: #22c35b; }
+  .progress.is-success::-moz-progress-bar {
+    background-color: #22c35b; }
+  .progress.is-success::-ms-fill {
+    background-color: #22c35b; }
+  .progress.is-success:indeterminate {
+    background-image: linear-gradient(to right, #22c35b 30%, #dbdbdb 30%); }
+  .progress.is-warning::-webkit-progress-value {
+    background-color: #ffdd57; }
+  .progress.is-warning::-moz-progress-bar {
+    background-color: #ffdd57; }
+  .progress.is-warning::-ms-fill {
+    background-color: #ffdd57; }
+  .progress.is-warning:indeterminate {
+    background-image: linear-gradient(to right, #ffdd57 30%, #dbdbdb 30%); }
+  .progress.is-danger::-webkit-progress-value {
+    background-color: #da0b00; }
+  .progress.is-danger::-moz-progress-bar {
+    background-color: #da0b00; }
+  .progress.is-danger::-ms-fill {
+    background-color: #da0b00; }
+  .progress.is-danger:indeterminate {
+    background-image: linear-gradient(to right, #da0b00 30%, #dbdbdb 30%); }
+  .progress:indeterminate {
+    animation-duration: 1.5s;
+    animation-iteration-count: infinite;
+    animation-name: moveIndeterminate;
+    animation-timing-function: linear;
+    background-color: #dbdbdb;
+    background-image: linear-gradient(to right, #222222 30%, #dbdbdb 30%);
+    background-position: top left;
+    background-repeat: no-repeat;
+    background-size: 150% 150%; }
+    .progress:indeterminate::-webkit-progress-bar {
+      background-color: transparent; }
+    .progress:indeterminate::-moz-progress-bar {
+      background-color: transparent; }
+  .progress.is-small, #documenter .docs-sidebar form.docs-search > input.progress {
+    height: 0.75rem; }
+  .progress.is-medium {
+    height: 1.25rem; }
+  .progress.is-large {
+    height: 1.5rem; }
+
+@keyframes moveIndeterminate {
+  from {
+    background-position: 200% 0; }
+  to {
+    background-position: -200% 0; } }
+
+.table {
+  background-color: white;
+  color: #363636; }
+  .table td,
+  .table th {
+    border: 1px solid #dbdbdb;
+    border-width: 0 0 1px;
+    padding: 0.5em 0.75em;
+    vertical-align: top; }
+    .table td.is-white,
+    .table th.is-white {
+      background-color: white;
+      border-color: white;
+      color: #0a0a0a; }
+    .table td.is-black,
+    .table th.is-black {
+      background-color: #0a0a0a;
+      border-color: #0a0a0a;
+      color: white; }
+    .table td.is-light,
+    .table th.is-light {
+      background-color: whitesmoke;
+      border-color: whitesmoke;
+      color: #363636; }
+    .table td.is-dark,
+    .table th.is-dark {
+      background-color: #363636;
+      border-color: #363636;
+      color: whitesmoke; }
+    .table td.is-primary,
+    .table th.is-primary {
+      background-color: #4eb5de;
+      border-color: #4eb5de;
+      color: #fff; }
+    .table td.is-link,
+    .table th.is-link {
+      background-color: #2e63b8;
+      border-color: #2e63b8;
+      color: #fff; }
+    .table td.is-info,
+    .table th.is-info {
+      background-color: #209cee;
+      border-color: #209cee;
+      color: #fff; }
+    .table td.is-success,
+    .table th.is-success {
+      background-color: #22c35b;
+      border-color: #22c35b;
+      color: #fff; }
+    .table td.is-warning,
+    .table th.is-warning {
+      background-color: #ffdd57;
+      border-color: #ffdd57;
+      color: rgba(0, 0, 0, 0.7); }
+    .table td.is-danger,
+    .table th.is-danger {
+      background-color: #da0b00;
+      border-color: #da0b00;
+      color: #fff; }
+    .table td.is-narrow,
+    .table th.is-narrow {
+      white-space: nowrap;
+      width: 1%; }
+    .table td.is-selected,
+    .table th.is-selected {
+      background-color: #4eb5de;
+      color: #fff; }
+      .table td.is-selected a,
+      .table td.is-selected strong,
+      .table th.is-selected a,
+      .table th.is-selected strong {
+        color: currentColor; }
+  .table th {
+    color: #222222; }
+    .table th:not([align]) {
+      text-align: left; }
+  .table tr.is-selected {
+    background-color: #4eb5de;
+    color: #fff; }
+    .table tr.is-selected a,
+    .table tr.is-selected strong {
+      color: currentColor; }
+    .table tr.is-selected td,
+    .table tr.is-selected th {
+      border-color: #fff;
+      color: currentColor; }
+  .table thead {
+    background-color: transparent; }
+    .table thead td,
+    .table thead th {
+      border-width: 0 0 2px;
+      color: #222222; }
+  .table tfoot {
+    background-color: transparent; }
+    .table tfoot td,
+    .table tfoot th {
+      border-width: 2px 0 0;
+      color: #222222; }
+  .table tbody {
+    background-color: transparent; }
+    .table tbody tr:last-child td,
+    .table tbody tr:last-child th {
+      border-bottom-width: 0; }
+  .table.is-bordered td,
+  .table.is-bordered th {
+    border-width: 1px; }
+  .table.is-bordered tr:last-child td,
+  .table.is-bordered tr:last-child th {
+    border-bottom-width: 1px; }
+  .table.is-fullwidth {
+    width: 100%; }
+  .table.is-hoverable tbody tr:not(.is-selected):hover {
+    background-color: #fafafa; }
+  .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover {
+    background-color: #fafafa; }
+    .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover:nth-child(even) {
+      background-color: whitesmoke; }
+  .table.is-narrow td,
+  .table.is-narrow th {
+    padding: 0.25em 0.5em; }
+  .table.is-striped tbody tr:not(.is-selected):nth-child(even) {
+    background-color: #fafafa; }
+
+.table-container {
+  -webkit-overflow-scrolling: touch;
+  overflow: auto;
+  overflow-y: hidden;
+  max-width: 100%; }
+
+.tags {
+  align-items: center;
+  display: flex;
+  flex-wrap: wrap;
+  justify-content: flex-start; }
+  .tags .tag, .tags .content kbd, .content .tags kbd, .tags .docstring > section > a.docs-sourcelink {
+    margin-bottom: 0.5rem; }
+    .tags .tag:not(:last-child), .tags .content kbd:not(:last-child), .content .tags kbd:not(:last-child), .tags .docstring > section > a.docs-sourcelink:not(:last-child) {
+      margin-right: 0.5rem; }
+  .tags:last-child {
+    margin-bottom: -0.5rem; }
+  .tags:not(:last-child) {
+    margin-bottom: 1rem; }
+  .tags.are-medium .tag:not(.is-normal):not(.is-large), .tags.are-medium .content kbd:not(.is-normal):not(.is-large), .content .tags.are-medium kbd:not(.is-normal):not(.is-large), .tags.are-medium .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-large) {
+    font-size: 1rem; }
+  .tags.are-large .tag:not(.is-normal):not(.is-medium), .tags.are-large .content kbd:not(.is-normal):not(.is-medium), .content .tags.are-large kbd:not(.is-normal):not(.is-medium), .tags.are-large .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-medium) {
+    font-size: 1.25rem; }
+  .tags.is-centered {
+    justify-content: center; }
+    .tags.is-centered .tag, .tags.is-centered .content kbd, .content .tags.is-centered kbd, .tags.is-centered .docstring > section > a.docs-sourcelink {
+      margin-right: 0.25rem;
+      margin-left: 0.25rem; }
+  .tags.is-right {
+    justify-content: flex-end; }
+    .tags.is-right .tag:not(:first-child), .tags.is-right .content kbd:not(:first-child), .content .tags.is-right kbd:not(:first-child), .tags.is-right .docstring > section > a.docs-sourcelink:not(:first-child) {
+      margin-left: 0.5rem; }
+    .tags.is-right .tag:not(:last-child), .tags.is-right .content kbd:not(:last-child), .content .tags.is-right kbd:not(:last-child), .tags.is-right .docstring > section > a.docs-sourcelink:not(:last-child) {
+      margin-right: 0; }
+  .tags.has-addons .tag, .tags.has-addons .content kbd, .content .tags.has-addons kbd, .tags.has-addons .docstring > section > a.docs-sourcelink {
+    margin-right: 0; }
+    .tags.has-addons .tag:not(:first-child), .tags.has-addons .content kbd:not(:first-child), .content .tags.has-addons kbd:not(:first-child), .tags.has-addons .docstring > section > a.docs-sourcelink:not(:first-child) {
+      margin-left: 0;
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    .tags.has-addons .tag:not(:last-child), .tags.has-addons .content kbd:not(:last-child), .content .tags.has-addons kbd:not(:last-child), .tags.has-addons .docstring > section > a.docs-sourcelink:not(:last-child) {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0; }
+
+.tag:not(body), .content kbd:not(body), .docstring > section > a.docs-sourcelink:not(body) {
+  align-items: center;
+  background-color: whitesmoke;
+  border-radius: 4px;
+  color: #222222;
+  display: inline-flex;
+  font-size: 0.75rem;
+  height: 2em;
+  justify-content: center;
+  line-height: 1.5;
+  padding-left: 0.75em;
+  padding-right: 0.75em;
+  white-space: nowrap; }
+  .tag:not(body) .delete, .content kbd:not(body) .delete, .docstring > section > a.docs-sourcelink:not(body) .delete {
+    margin-left: 0.25rem;
+    margin-right: -0.375rem; }
+  .tag.is-white:not(body), .content kbd.is-white:not(body), .docstring > section > a.docs-sourcelink.is-white:not(body) {
+    background-color: white;
+    color: #0a0a0a; }
+  .tag.is-black:not(body), .content kbd.is-black:not(body), .docstring > section > a.docs-sourcelink.is-black:not(body) {
+    background-color: #0a0a0a;
+    color: white; }
+  .tag.is-light:not(body), .content kbd.is-light:not(body), .docstring > section > a.docs-sourcelink.is-light:not(body) {
+    background-color: whitesmoke;
+    color: #363636; }
+  .tag.is-dark:not(body), .content kbd:not(body), .docstring > section > a.docs-sourcelink.is-dark:not(body), .content .docstring > section > kbd:not(body) {
+    background-color: #363636;
+    color: whitesmoke; }
+  .tag.is-primary:not(body), .content kbd.is-primary:not(body), .docstring > section > a.docs-sourcelink:not(body) {
+    background-color: #4eb5de;
+    color: #fff; }
+  .tag.is-link:not(body), .content kbd.is-link:not(body), .docstring > section > a.docs-sourcelink.is-link:not(body) {
+    background-color: #2e63b8;
+    color: #fff; }
+  .tag.is-info:not(body), .content kbd.is-info:not(body), .docstring > section > a.docs-sourcelink.is-info:not(body) {
+    background-color: #209cee;
+    color: #fff; }
+  .tag.is-success:not(body), .content kbd.is-success:not(body), .docstring > section > a.docs-sourcelink.is-success:not(body) {
+    background-color: #22c35b;
+    color: #fff; }
+  .tag.is-warning:not(body), .content kbd.is-warning:not(body), .docstring > section > a.docs-sourcelink.is-warning:not(body) {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+  .tag.is-danger:not(body), .content kbd.is-danger:not(body), .docstring > section > a.docs-sourcelink.is-danger:not(body) {
+    background-color: #da0b00;
+    color: #fff; }
+  .tag.is-normal:not(body), .content kbd.is-normal:not(body), .docstring > section > a.docs-sourcelink.is-normal:not(body) {
+    font-size: 0.75rem; }
+  .tag.is-medium:not(body), .content kbd.is-medium:not(body), .docstring > section > a.docs-sourcelink.is-medium:not(body) {
+    font-size: 1rem; }
+  .tag.is-large:not(body), .content kbd.is-large:not(body), .docstring > section > a.docs-sourcelink.is-large:not(body) {
+    font-size: 1.25rem; }
+  .tag:not(body) .icon:first-child:not(:last-child), .content kbd:not(body) .icon:first-child:not(:last-child), .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:not(:last-child) {
+    margin-left: -0.375em;
+    margin-right: 0.1875em; }
+  .tag:not(body) .icon:last-child:not(:first-child), .content kbd:not(body) .icon:last-child:not(:first-child), .docstring > section > a.docs-sourcelink:not(body) .icon:last-child:not(:first-child) {
+    margin-left: 0.1875em;
+    margin-right: -0.375em; }
+  .tag:not(body) .icon:first-child:last-child, .content kbd:not(body) .icon:first-child:last-child, .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:last-child {
+    margin-left: -0.375em;
+    margin-right: -0.375em; }
+  .tag.is-delete:not(body), .content kbd.is-delete:not(body), .docstring > section > a.docs-sourcelink.is-delete:not(body) {
+    margin-left: 1px;
+    padding: 0;
+    position: relative;
+    width: 2em; }
+    .tag.is-delete:not(body)::before, .content kbd.is-delete:not(body)::before, .docstring > section > a.docs-sourcelink.is-delete:not(body)::before, .tag.is-delete:not(body)::after, .content kbd.is-delete:not(body)::after, .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+      background-color: currentColor;
+      content: "";
+      display: block;
+      left: 50%;
+      position: absolute;
+      top: 50%;
+      transform: translateX(-50%) translateY(-50%) rotate(45deg);
+      transform-origin: center center; }
+    .tag.is-delete:not(body)::before, .content kbd.is-delete:not(body)::before, .docstring > section > a.docs-sourcelink.is-delete:not(body)::before {
+      height: 1px;
+      width: 50%; }
+    .tag.is-delete:not(body)::after, .content kbd.is-delete:not(body)::after, .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+      height: 50%;
+      width: 1px; }
+    .tag.is-delete:not(body):hover, .content kbd.is-delete:not(body):hover, .docstring > section > a.docs-sourcelink.is-delete:not(body):hover, .tag.is-delete:not(body):focus, .content kbd.is-delete:not(body):focus, .docstring > section > a.docs-sourcelink.is-delete:not(body):focus {
+      background-color: #e8e8e8; }
+    .tag.is-delete:not(body):active, .content kbd.is-delete:not(body):active, .docstring > section > a.docs-sourcelink.is-delete:not(body):active {
+      background-color: #dbdbdb; }
+  .tag.is-rounded:not(body), #documenter .docs-sidebar form.docs-search > input:not(body), .content kbd.is-rounded:not(body), #documenter .docs-sidebar .content form.docs-search > input:not(body), .docstring > section > a.docs-sourcelink.is-rounded:not(body) {
+    border-radius: 290486px; }
+
+a.tag:hover, .docstring > section > a.docs-sourcelink:hover {
+  text-decoration: underline; }
+
+.title,
+.subtitle {
+  word-break: break-word; }
+  .title em,
+  .title span,
+  .subtitle em,
+  .subtitle span {
+    font-weight: inherit; }
+  .title sub,
+  .subtitle sub {
+    font-size: 0.75em; }
+  .title sup,
+  .subtitle sup {
+    font-size: 0.75em; }
+  .title .tag, .title .content kbd, .content .title kbd, .title .docstring > section > a.docs-sourcelink,
+  .subtitle .tag,
+  .subtitle .content kbd,
+  .content .subtitle kbd,
+  .subtitle .docstring > section > a.docs-sourcelink {
+    vertical-align: middle; }
+
+.title {
+  color: #363636;
+  font-size: 2rem;
+  font-weight: 600;
+  line-height: 1.125; }
+  .title strong {
+    color: inherit;
+    font-weight: inherit; }
+  .title + .highlight {
+    margin-top: -0.75rem; }
+  .title:not(.is-spaced) + .subtitle {
+    margin-top: -1.25rem; }
+  .title.is-1 {
+    font-size: 3rem; }
+  .title.is-2 {
+    font-size: 2.5rem; }
+  .title.is-3 {
+    font-size: 2rem; }
+  .title.is-4 {
+    font-size: 1.5rem; }
+  .title.is-5 {
+    font-size: 1.25rem; }
+  .title.is-6 {
+    font-size: 1rem; }
+  .title.is-7 {
+    font-size: 0.75rem; }
+
+.subtitle {
+  color: #4a4a4a;
+  font-size: 1.25rem;
+  font-weight: 400;
+  line-height: 1.25; }
+  .subtitle strong {
+    color: #363636;
+    font-weight: 600; }
+  .subtitle:not(.is-spaced) + .title {
+    margin-top: -1.25rem; }
+  .subtitle.is-1 {
+    font-size: 3rem; }
+  .subtitle.is-2 {
+    font-size: 2.5rem; }
+  .subtitle.is-3 {
+    font-size: 2rem; }
+  .subtitle.is-4 {
+    font-size: 1.5rem; }
+  .subtitle.is-5 {
+    font-size: 1.25rem; }
+  .subtitle.is-6 {
+    font-size: 1rem; }
+  .subtitle.is-7 {
+    font-size: 0.75rem; }
+
+.heading {
+  display: block;
+  font-size: 11px;
+  letter-spacing: 1px;
+  margin-bottom: 5px;
+  text-transform: uppercase; }
+
+.highlight {
+  font-weight: 400;
+  max-width: 100%;
+  overflow: hidden;
+  padding: 0; }
+  .highlight pre {
+    overflow: auto;
+    max-width: 100%; }
+
+.number {
+  align-items: center;
+  background-color: whitesmoke;
+  border-radius: 290486px;
+  display: inline-flex;
+  font-size: 1.25rem;
+  height: 2em;
+  justify-content: center;
+  margin-right: 1.5rem;
+  min-width: 2.5em;
+  padding: 0.25rem 0.5rem;
+  text-align: center;
+  vertical-align: top; }
+
+.select select, .textarea, .input, #documenter .docs-sidebar form.docs-search > input {
+  background-color: white;
+  border-color: #dbdbdb;
+  border-radius: 4px;
+  color: #363636; }
+  .select select::-moz-placeholder, .textarea::-moz-placeholder, .input::-moz-placeholder, #documenter .docs-sidebar form.docs-search > input::-moz-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select::-webkit-input-placeholder, .textarea::-webkit-input-placeholder, .input::-webkit-input-placeholder, #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select:-moz-placeholder, .textarea:-moz-placeholder, .input:-moz-placeholder, #documenter .docs-sidebar form.docs-search > input:-moz-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select:-ms-input-placeholder, .textarea:-ms-input-placeholder, .input:-ms-input-placeholder, #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select:hover, .textarea:hover, .input:hover, #documenter .docs-sidebar form.docs-search > input:hover, .select select.is-hovered, .is-hovered.textarea, .is-hovered.input, #documenter .docs-sidebar form.docs-search > input.is-hovered {
+    border-color: #b5b5b5; }
+  .select select:focus, .textarea:focus, .input:focus, #documenter .docs-sidebar form.docs-search > input:focus, .select select.is-focused, .is-focused.textarea, .is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .select select:active, .textarea:active, .input:active, #documenter .docs-sidebar form.docs-search > input:active, .select select.is-active, .is-active.textarea, .is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+    border-color: #2e63b8;
+    box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .select select[disabled], .textarea[disabled], .input[disabled], #documenter .docs-sidebar form.docs-search > input[disabled], fieldset[disabled] .select select, .select fieldset[disabled] select, fieldset[disabled] .textarea, fieldset[disabled] .input, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input {
+    background-color: whitesmoke;
+    border-color: whitesmoke;
+    box-shadow: none;
+    color: #6b6b6b; }
+    .select select[disabled]::-moz-placeholder, .textarea[disabled]::-moz-placeholder, .input[disabled]::-moz-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]::-moz-placeholder, fieldset[disabled] .select select::-moz-placeholder, .select fieldset[disabled] select::-moz-placeholder, fieldset[disabled] .textarea::-moz-placeholder, fieldset[disabled] .input::-moz-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input::-moz-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input::-moz-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+    .select select[disabled]::-webkit-input-placeholder, .textarea[disabled]::-webkit-input-placeholder, .input[disabled]::-webkit-input-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]::-webkit-input-placeholder, fieldset[disabled] .select select::-webkit-input-placeholder, .select fieldset[disabled] select::-webkit-input-placeholder, fieldset[disabled] .textarea::-webkit-input-placeholder, fieldset[disabled] .input::-webkit-input-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input::-webkit-input-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+    .select select[disabled]:-moz-placeholder, .textarea[disabled]:-moz-placeholder, .input[disabled]:-moz-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]:-moz-placeholder, fieldset[disabled] .select select:-moz-placeholder, .select fieldset[disabled] select:-moz-placeholder, fieldset[disabled] .textarea:-moz-placeholder, fieldset[disabled] .input:-moz-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input:-moz-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input:-moz-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+    .select select[disabled]:-ms-input-placeholder, .textarea[disabled]:-ms-input-placeholder, .input[disabled]:-ms-input-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]:-ms-input-placeholder, fieldset[disabled] .select select:-ms-input-placeholder, .select fieldset[disabled] select:-ms-input-placeholder, fieldset[disabled] .textarea:-ms-input-placeholder, fieldset[disabled] .input:-ms-input-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input:-ms-input-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+
+.textarea, .input, #documenter .docs-sidebar form.docs-search > input {
+  box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.1);
+  max-width: 100%;
+  width: 100%; }
+  .textarea[readonly], .input[readonly], #documenter .docs-sidebar form.docs-search > input[readonly] {
+    box-shadow: none; }
+  .is-white.textarea, .is-white.input, #documenter .docs-sidebar form.docs-search > input.is-white {
+    border-color: white; }
+    .is-white.textarea:focus, .is-white.input:focus, #documenter .docs-sidebar form.docs-search > input.is-white:focus, .is-white.is-focused.textarea, .is-white.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-white.textarea:active, .is-white.input:active, #documenter .docs-sidebar form.docs-search > input.is-white:active, .is-white.is-active.textarea, .is-white.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+  .is-black.textarea, .is-black.input, #documenter .docs-sidebar form.docs-search > input.is-black {
+    border-color: #0a0a0a; }
+    .is-black.textarea:focus, .is-black.input:focus, #documenter .docs-sidebar form.docs-search > input.is-black:focus, .is-black.is-focused.textarea, .is-black.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-black.textarea:active, .is-black.input:active, #documenter .docs-sidebar form.docs-search > input.is-black:active, .is-black.is-active.textarea, .is-black.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+  .is-light.textarea, .is-light.input, #documenter .docs-sidebar form.docs-search > input.is-light {
+    border-color: whitesmoke; }
+    .is-light.textarea:focus, .is-light.input:focus, #documenter .docs-sidebar form.docs-search > input.is-light:focus, .is-light.is-focused.textarea, .is-light.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-light.textarea:active, .is-light.input:active, #documenter .docs-sidebar form.docs-search > input.is-light:active, .is-light.is-active.textarea, .is-light.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); }
+  .is-dark.textarea, .content kbd.textarea, .is-dark.input, #documenter .docs-sidebar form.docs-search > input.is-dark, .content kbd.input {
+    border-color: #363636; }
+    .is-dark.textarea:focus, .content kbd.textarea:focus, .is-dark.input:focus, #documenter .docs-sidebar form.docs-search > input.is-dark:focus, .content kbd.input:focus, .is-dark.is-focused.textarea, .content kbd.is-focused.textarea, .is-dark.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .content kbd.is-focused.input, #documenter .docs-sidebar .content form.docs-search > input.is-focused, .is-dark.textarea:active, .content kbd.textarea:active, .is-dark.input:active, #documenter .docs-sidebar form.docs-search > input.is-dark:active, .content kbd.input:active, .is-dark.is-active.textarea, .content kbd.is-active.textarea, .is-dark.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .content kbd.is-active.input, #documenter .docs-sidebar .content form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); }
+  .is-primary.textarea, .docstring > section > a.textarea.docs-sourcelink, .is-primary.input, #documenter .docs-sidebar form.docs-search > input.is-primary, .docstring > section > a.input.docs-sourcelink {
+    border-color: #4eb5de; }
+    .is-primary.textarea:focus, .docstring > section > a.textarea.docs-sourcelink:focus, .is-primary.input:focus, #documenter .docs-sidebar form.docs-search > input.is-primary:focus, .docstring > section > a.input.docs-sourcelink:focus, .is-primary.is-focused.textarea, .docstring > section > a.is-focused.textarea.docs-sourcelink, .is-primary.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .docstring > section > a.is-focused.input.docs-sourcelink, .is-primary.textarea:active, .docstring > section > a.textarea.docs-sourcelink:active, .is-primary.input:active, #documenter .docs-sidebar form.docs-search > input.is-primary:active, .docstring > section > a.input.docs-sourcelink:active, .is-primary.is-active.textarea, .docstring > section > a.is-active.textarea.docs-sourcelink, .is-primary.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .docstring > section > a.is-active.input.docs-sourcelink {
+      box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); }
+  .is-link.textarea, .is-link.input, #documenter .docs-sidebar form.docs-search > input.is-link {
+    border-color: #2e63b8; }
+    .is-link.textarea:focus, .is-link.input:focus, #documenter .docs-sidebar form.docs-search > input.is-link:focus, .is-link.is-focused.textarea, .is-link.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-link.textarea:active, .is-link.input:active, #documenter .docs-sidebar form.docs-search > input.is-link:active, .is-link.is-active.textarea, .is-link.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .is-info.textarea, .is-info.input, #documenter .docs-sidebar form.docs-search > input.is-info {
+    border-color: #209cee; }
+    .is-info.textarea:focus, .is-info.input:focus, #documenter .docs-sidebar form.docs-search > input.is-info:focus, .is-info.is-focused.textarea, .is-info.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-info.textarea:active, .is-info.input:active, #documenter .docs-sidebar form.docs-search > input.is-info:active, .is-info.is-active.textarea, .is-info.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); }
+  .is-success.textarea, .is-success.input, #documenter .docs-sidebar form.docs-search > input.is-success {
+    border-color: #22c35b; }
+    .is-success.textarea:focus, .is-success.input:focus, #documenter .docs-sidebar form.docs-search > input.is-success:focus, .is-success.is-focused.textarea, .is-success.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-success.textarea:active, .is-success.input:active, #documenter .docs-sidebar form.docs-search > input.is-success:active, .is-success.is-active.textarea, .is-success.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); }
+  .is-warning.textarea, .is-warning.input, #documenter .docs-sidebar form.docs-search > input.is-warning {
+    border-color: #ffdd57; }
+    .is-warning.textarea:focus, .is-warning.input:focus, #documenter .docs-sidebar form.docs-search > input.is-warning:focus, .is-warning.is-focused.textarea, .is-warning.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-warning.textarea:active, .is-warning.input:active, #documenter .docs-sidebar form.docs-search > input.is-warning:active, .is-warning.is-active.textarea, .is-warning.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); }
+  .is-danger.textarea, .is-danger.input, #documenter .docs-sidebar form.docs-search > input.is-danger {
+    border-color: #da0b00; }
+    .is-danger.textarea:focus, .is-danger.input:focus, #documenter .docs-sidebar form.docs-search > input.is-danger:focus, .is-danger.is-focused.textarea, .is-danger.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-danger.textarea:active, .is-danger.input:active, #documenter .docs-sidebar form.docs-search > input.is-danger:active, .is-danger.is-active.textarea, .is-danger.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); }
+  .is-small.textarea, .is-small.input, #documenter .docs-sidebar form.docs-search > input {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .is-medium.textarea, .is-medium.input, #documenter .docs-sidebar form.docs-search > input.is-medium {
+    font-size: 1.25rem; }
+  .is-large.textarea, .is-large.input, #documenter .docs-sidebar form.docs-search > input.is-large {
+    font-size: 1.5rem; }
+  .is-fullwidth.textarea, .is-fullwidth.input, #documenter .docs-sidebar form.docs-search > input.is-fullwidth {
+    display: block;
+    width: 100%; }
+  .is-inline.textarea, .is-inline.input, #documenter .docs-sidebar form.docs-search > input.is-inline {
+    display: inline;
+    width: auto; }
+
+.input.is-rounded, #documenter .docs-sidebar form.docs-search > input {
+  border-radius: 290486px;
+  padding-left: 1em;
+  padding-right: 1em; }
+
+.input.is-static, #documenter .docs-sidebar form.docs-search > input.is-static {
+  background-color: transparent;
+  border-color: transparent;
+  box-shadow: none;
+  padding-left: 0;
+  padding-right: 0; }
+
+.textarea {
+  display: block;
+  max-width: 100%;
+  min-width: 100%;
+  padding: 0.625em;
+  resize: vertical; }
+  .textarea:not([rows]) {
+    max-height: 600px;
+    min-height: 120px; }
+  .textarea[rows] {
+    height: initial; }
+  .textarea.has-fixed-size {
+    resize: none; }
+
+.radio, .checkbox {
+  cursor: pointer;
+  display: inline-block;
+  line-height: 1.25;
+  position: relative; }
+  .radio input, .checkbox input {
+    cursor: pointer; }
+  .radio:hover, .checkbox:hover {
+    color: #363636; }
+  .radio[disabled], .checkbox[disabled], fieldset[disabled] .radio, fieldset[disabled] .checkbox {
+    color: #6b6b6b;
+    cursor: not-allowed; }
+
+.radio + .radio {
+  margin-left: 0.5em; }
+
+.select {
+  display: inline-block;
+  max-width: 100%;
+  position: relative;
+  vertical-align: top; }
+  .select:not(.is-multiple) {
+    height: 2.25em; }
+  .select:not(.is-multiple):not(.is-loading)::after {
+    border-color: #2e63b8;
+    right: 1.125em;
+    z-index: 4; }
+  .select.is-rounded select, #documenter .docs-sidebar form.docs-search > input.select select {
+    border-radius: 290486px;
+    padding-left: 1em; }
+  .select select {
+    cursor: pointer;
+    display: block;
+    font-size: 1em;
+    max-width: 100%;
+    outline: none; }
+    .select select::-ms-expand {
+      display: none; }
+    .select select[disabled]:hover, fieldset[disabled] .select select:hover {
+      border-color: whitesmoke; }
+    .select select:not([multiple]) {
+      padding-right: 2.5em; }
+    .select select[multiple] {
+      height: auto;
+      padding: 0; }
+      .select select[multiple] option {
+        padding: 0.5em 1em; }
+  .select:not(.is-multiple):not(.is-loading):hover::after {
+    border-color: #363636; }
+  .select.is-white:not(:hover)::after {
+    border-color: white; }
+  .select.is-white select {
+    border-color: white; }
+    .select.is-white select:hover, .select.is-white select.is-hovered {
+      border-color: #f2f2f2; }
+    .select.is-white select:focus, .select.is-white select.is-focused, .select.is-white select:active, .select.is-white select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+  .select.is-black:not(:hover)::after {
+    border-color: #0a0a0a; }
+  .select.is-black select {
+    border-color: #0a0a0a; }
+    .select.is-black select:hover, .select.is-black select.is-hovered {
+      border-color: black; }
+    .select.is-black select:focus, .select.is-black select.is-focused, .select.is-black select:active, .select.is-black select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+  .select.is-light:not(:hover)::after {
+    border-color: whitesmoke; }
+  .select.is-light select {
+    border-color: whitesmoke; }
+    .select.is-light select:hover, .select.is-light select.is-hovered {
+      border-color: #e8e8e8; }
+    .select.is-light select:focus, .select.is-light select.is-focused, .select.is-light select:active, .select.is-light select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); }
+  .select.is-dark:not(:hover)::after, .content kbd.select:not(:hover)::after {
+    border-color: #363636; }
+  .select.is-dark select, .content kbd.select select {
+    border-color: #363636; }
+    .select.is-dark select:hover, .content kbd.select select:hover, .select.is-dark select.is-hovered, .content kbd.select select.is-hovered {
+      border-color: #292929; }
+    .select.is-dark select:focus, .content kbd.select select:focus, .select.is-dark select.is-focused, .content kbd.select select.is-focused, .select.is-dark select:active, .content kbd.select select:active, .select.is-dark select.is-active, .content kbd.select select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); }
+  .select.is-primary:not(:hover)::after, .docstring > section > a.select.docs-sourcelink:not(:hover)::after {
+    border-color: #4eb5de; }
+  .select.is-primary select, .docstring > section > a.select.docs-sourcelink select {
+    border-color: #4eb5de; }
+    .select.is-primary select:hover, .docstring > section > a.select.docs-sourcelink select:hover, .select.is-primary select.is-hovered, .docstring > section > a.select.docs-sourcelink select.is-hovered {
+      border-color: #39acda; }
+    .select.is-primary select:focus, .docstring > section > a.select.docs-sourcelink select:focus, .select.is-primary select.is-focused, .docstring > section > a.select.docs-sourcelink select.is-focused, .select.is-primary select:active, .docstring > section > a.select.docs-sourcelink select:active, .select.is-primary select.is-active, .docstring > section > a.select.docs-sourcelink select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); }
+  .select.is-link:not(:hover)::after {
+    border-color: #2e63b8; }
+  .select.is-link select {
+    border-color: #2e63b8; }
+    .select.is-link select:hover, .select.is-link select.is-hovered {
+      border-color: #2958a4; }
+    .select.is-link select:focus, .select.is-link select.is-focused, .select.is-link select:active, .select.is-link select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .select.is-info:not(:hover)::after {
+    border-color: #209cee; }
+  .select.is-info select {
+    border-color: #209cee; }
+    .select.is-info select:hover, .select.is-info select.is-hovered {
+      border-color: #1190e3; }
+    .select.is-info select:focus, .select.is-info select.is-focused, .select.is-info select:active, .select.is-info select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); }
+  .select.is-success:not(:hover)::after {
+    border-color: #22c35b; }
+  .select.is-success select {
+    border-color: #22c35b; }
+    .select.is-success select:hover, .select.is-success select.is-hovered {
+      border-color: #1ead51; }
+    .select.is-success select:focus, .select.is-success select.is-focused, .select.is-success select:active, .select.is-success select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); }
+  .select.is-warning:not(:hover)::after {
+    border-color: #ffdd57; }
+  .select.is-warning select {
+    border-color: #ffdd57; }
+    .select.is-warning select:hover, .select.is-warning select.is-hovered {
+      border-color: #ffd83e; }
+    .select.is-warning select:focus, .select.is-warning select.is-focused, .select.is-warning select:active, .select.is-warning select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); }
+  .select.is-danger:not(:hover)::after {
+    border-color: #da0b00; }
+  .select.is-danger select {
+    border-color: #da0b00; }
+    .select.is-danger select:hover, .select.is-danger select.is-hovered {
+      border-color: #c10a00; }
+    .select.is-danger select:focus, .select.is-danger select.is-focused, .select.is-danger select:active, .select.is-danger select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); }
+  .select.is-small, #documenter .docs-sidebar form.docs-search > input.select {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .select.is-medium {
+    font-size: 1.25rem; }
+  .select.is-large {
+    font-size: 1.5rem; }
+  .select.is-disabled::after {
+    border-color: #6b6b6b; }
+  .select.is-fullwidth {
+    width: 100%; }
+    .select.is-fullwidth select {
+      width: 100%; }
+  .select.is-loading::after {
+    margin-top: 0;
+    position: absolute;
+    right: 0.625em;
+    top: 0.625em;
+    transform: none; }
+  .select.is-loading.is-small:after, #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+    font-size: 0.75rem; }
+  .select.is-loading.is-medium:after {
+    font-size: 1.25rem; }
+  .select.is-loading.is-large:after {
+    font-size: 1.5rem; }
+
+.file {
+  align-items: stretch;
+  display: flex;
+  justify-content: flex-start;
+  position: relative; }
+  .file.is-white .file-cta {
+    background-color: white;
+    border-color: transparent;
+    color: #0a0a0a; }
+  .file.is-white:hover .file-cta, .file.is-white.is-hovered .file-cta {
+    background-color: #f9f9f9;
+    border-color: transparent;
+    color: #0a0a0a; }
+  .file.is-white:focus .file-cta, .file.is-white.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(255, 255, 255, 0.25);
+    color: #0a0a0a; }
+  .file.is-white:active .file-cta, .file.is-white.is-active .file-cta {
+    background-color: #f2f2f2;
+    border-color: transparent;
+    color: #0a0a0a; }
+  .file.is-black .file-cta {
+    background-color: #0a0a0a;
+    border-color: transparent;
+    color: white; }
+  .file.is-black:hover .file-cta, .file.is-black.is-hovered .file-cta {
+    background-color: #040404;
+    border-color: transparent;
+    color: white; }
+  .file.is-black:focus .file-cta, .file.is-black.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(10, 10, 10, 0.25);
+    color: white; }
+  .file.is-black:active .file-cta, .file.is-black.is-active .file-cta {
+    background-color: black;
+    border-color: transparent;
+    color: white; }
+  .file.is-light .file-cta {
+    background-color: whitesmoke;
+    border-color: transparent;
+    color: #363636; }
+  .file.is-light:hover .file-cta, .file.is-light.is-hovered .file-cta {
+    background-color: #eeeeee;
+    border-color: transparent;
+    color: #363636; }
+  .file.is-light:focus .file-cta, .file.is-light.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(245, 245, 245, 0.25);
+    color: #363636; }
+  .file.is-light:active .file-cta, .file.is-light.is-active .file-cta {
+    background-color: #e8e8e8;
+    border-color: transparent;
+    color: #363636; }
+  .file.is-dark .file-cta, .content kbd.file .file-cta {
+    background-color: #363636;
+    border-color: transparent;
+    color: whitesmoke; }
+  .file.is-dark:hover .file-cta, .content kbd.file:hover .file-cta, .file.is-dark.is-hovered .file-cta, .content kbd.file.is-hovered .file-cta {
+    background-color: #2f2f2f;
+    border-color: transparent;
+    color: whitesmoke; }
+  .file.is-dark:focus .file-cta, .content kbd.file:focus .file-cta, .file.is-dark.is-focused .file-cta, .content kbd.file.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(54, 54, 54, 0.25);
+    color: whitesmoke; }
+  .file.is-dark:active .file-cta, .content kbd.file:active .file-cta, .file.is-dark.is-active .file-cta, .content kbd.file.is-active .file-cta {
+    background-color: #292929;
+    border-color: transparent;
+    color: whitesmoke; }
+  .file.is-primary .file-cta, .docstring > section > a.file.docs-sourcelink .file-cta {
+    background-color: #4eb5de;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-primary:hover .file-cta, .docstring > section > a.file.docs-sourcelink:hover .file-cta, .file.is-primary.is-hovered .file-cta, .docstring > section > a.file.is-hovered.docs-sourcelink .file-cta {
+    background-color: #43b1dc;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-primary:focus .file-cta, .docstring > section > a.file.docs-sourcelink:focus .file-cta, .file.is-primary.is-focused .file-cta, .docstring > section > a.file.is-focused.docs-sourcelink .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(78, 181, 222, 0.25);
+    color: #fff; }
+  .file.is-primary:active .file-cta, .docstring > section > a.file.docs-sourcelink:active .file-cta, .file.is-primary.is-active .file-cta, .docstring > section > a.file.is-active.docs-sourcelink .file-cta {
+    background-color: #39acda;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-link .file-cta {
+    background-color: #2e63b8;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-link:hover .file-cta, .file.is-link.is-hovered .file-cta {
+    background-color: #2b5eae;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-link:focus .file-cta, .file.is-link.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(46, 99, 184, 0.25);
+    color: #fff; }
+  .file.is-link:active .file-cta, .file.is-link.is-active .file-cta {
+    background-color: #2958a4;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-info .file-cta {
+    background-color: #209cee;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-info:hover .file-cta, .file.is-info.is-hovered .file-cta {
+    background-color: #1497ed;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-info:focus .file-cta, .file.is-info.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(32, 156, 238, 0.25);
+    color: #fff; }
+  .file.is-info:active .file-cta, .file.is-info.is-active .file-cta {
+    background-color: #1190e3;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-success .file-cta {
+    background-color: #22c35b;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-success:hover .file-cta, .file.is-success.is-hovered .file-cta {
+    background-color: #20b856;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-success:focus .file-cta, .file.is-success.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(34, 195, 91, 0.25);
+    color: #fff; }
+  .file.is-success:active .file-cta, .file.is-success.is-active .file-cta {
+    background-color: #1ead51;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-warning .file-cta {
+    background-color: #ffdd57;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-warning:hover .file-cta, .file.is-warning.is-hovered .file-cta {
+    background-color: #ffda4a;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-warning:focus .file-cta, .file.is-warning.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(255, 221, 87, 0.25);
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-warning:active .file-cta, .file.is-warning.is-active .file-cta {
+    background-color: #ffd83e;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-danger .file-cta {
+    background-color: #da0b00;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-danger:hover .file-cta, .file.is-danger.is-hovered .file-cta {
+    background-color: #cd0a00;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-danger:focus .file-cta, .file.is-danger.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(218, 11, 0, 0.25);
+    color: #fff; }
+  .file.is-danger:active .file-cta, .file.is-danger.is-active .file-cta {
+    background-color: #c10a00;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-small, #documenter .docs-sidebar form.docs-search > input.file {
+    font-size: 0.75rem; }
+  .file.is-medium {
+    font-size: 1.25rem; }
+    .file.is-medium .file-icon .fa {
+      font-size: 21px; }
+  .file.is-large {
+    font-size: 1.5rem; }
+    .file.is-large .file-icon .fa {
+      font-size: 28px; }
+  .file.has-name .file-cta {
+    border-bottom-right-radius: 0;
+    border-top-right-radius: 0; }
+  .file.has-name .file-name {
+    border-bottom-left-radius: 0;
+    border-top-left-radius: 0; }
+  .file.has-name.is-empty .file-cta {
+    border-radius: 4px; }
+  .file.has-name.is-empty .file-name {
+    display: none; }
+  .file.is-boxed .file-label {
+    flex-direction: column; }
+  .file.is-boxed .file-cta {
+    flex-direction: column;
+    height: auto;
+    padding: 1em 3em; }
+  .file.is-boxed .file-name {
+    border-width: 0 1px 1px; }
+  .file.is-boxed .file-icon {
+    height: 1.5em;
+    width: 1.5em; }
+    .file.is-boxed .file-icon .fa {
+      font-size: 21px; }
+  .file.is-boxed.is-small .file-icon .fa, #documenter .docs-sidebar form.docs-search > input.is-boxed .file-icon .fa {
+    font-size: 14px; }
+  .file.is-boxed.is-medium .file-icon .fa {
+    font-size: 28px; }
+  .file.is-boxed.is-large .file-icon .fa {
+    font-size: 35px; }
+  .file.is-boxed.has-name .file-cta {
+    border-radius: 4px 4px 0 0; }
+  .file.is-boxed.has-name .file-name {
+    border-radius: 0 0 4px 4px;
+    border-width: 0 1px 1px; }
+  .file.is-centered {
+    justify-content: center; }
+  .file.is-fullwidth .file-label {
+    width: 100%; }
+  .file.is-fullwidth .file-name {
+    flex-grow: 1;
+    max-width: none; }
+  .file.is-right {
+    justify-content: flex-end; }
+    .file.is-right .file-cta {
+      border-radius: 0 4px 4px 0; }
+    .file.is-right .file-name {
+      border-radius: 4px 0 0 4px;
+      border-width: 1px 0 1px 1px;
+      order: -1; }
+
+.file-label {
+  align-items: stretch;
+  display: flex;
+  cursor: pointer;
+  justify-content: flex-start;
+  overflow: hidden;
+  position: relative; }
+  .file-label:hover .file-cta {
+    background-color: #eeeeee;
+    color: #363636; }
+  .file-label:hover .file-name {
+    border-color: #d5d5d5; }
+  .file-label:active .file-cta {
+    background-color: #e8e8e8;
+    color: #363636; }
+  .file-label:active .file-name {
+    border-color: #cfcfcf; }
+
+.file-input {
+  height: 100%;
+  left: 0;
+  opacity: 0;
+  outline: none;
+  position: absolute;
+  top: 0;
+  width: 100%; }
+
+.file-cta,
+.file-name {
+  border-color: #dbdbdb;
+  border-radius: 4px;
+  font-size: 1em;
+  padding-left: 1em;
+  padding-right: 1em;
+  white-space: nowrap; }
+
+.file-cta {
+  background-color: whitesmoke;
+  color: #4a4a4a; }
+
+.file-name {
+  border-color: #dbdbdb;
+  border-style: solid;
+  border-width: 1px 1px 1px 0;
+  display: block;
+  max-width: 16em;
+  overflow: hidden;
+  text-align: left;
+  text-overflow: ellipsis; }
+
+.file-icon {
+  align-items: center;
+  display: flex;
+  height: 1em;
+  justify-content: center;
+  margin-right: 0.5em;
+  width: 1em; }
+  .file-icon .fa {
+    font-size: 14px; }
+
+.label {
+  color: #363636;
+  display: block;
+  font-size: 1rem;
+  font-weight: 700; }
+  .label:not(:last-child) {
+    margin-bottom: 0.5em; }
+  .label.is-small, #documenter .docs-sidebar form.docs-search > input.label {
+    font-size: 0.75rem; }
+  .label.is-medium {
+    font-size: 1.25rem; }
+  .label.is-large {
+    font-size: 1.5rem; }
+
+.help {
+  display: block;
+  font-size: 0.75rem;
+  margin-top: 0.25rem; }
+  .help.is-white {
+    color: white; }
+  .help.is-black {
+    color: #0a0a0a; }
+  .help.is-light {
+    color: whitesmoke; }
+  .help.is-dark, .content kbd.help {
+    color: #363636; }
+  .help.is-primary, .docstring > section > a.help.docs-sourcelink {
+    color: #4eb5de; }
+  .help.is-link {
+    color: #2e63b8; }
+  .help.is-info {
+    color: #209cee; }
+  .help.is-success {
+    color: #22c35b; }
+  .help.is-warning {
+    color: #ffdd57; }
+  .help.is-danger {
+    color: #da0b00; }
+
+.field:not(:last-child) {
+  margin-bottom: 0.75rem; }
+
+.field.has-addons {
+  display: flex;
+  justify-content: flex-start; }
+  .field.has-addons .control:not(:last-child) {
+    margin-right: -1px; }
+  .field.has-addons .control:not(:first-child):not(:last-child) .button,
+  .field.has-addons .control:not(:first-child):not(:last-child) .input,
+  .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search > input,
+  #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search > input,
+  .field.has-addons .control:not(:first-child):not(:last-child) .select select {
+    border-radius: 0; }
+  .field.has-addons .control:first-child:not(:only-child) .button,
+  .field.has-addons .control:first-child:not(:only-child) .input,
+  .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+  #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search > input,
+  .field.has-addons .control:first-child:not(:only-child) .select select {
+    border-bottom-right-radius: 0;
+    border-top-right-radius: 0; }
+  .field.has-addons .control:last-child:not(:only-child) .button,
+  .field.has-addons .control:last-child:not(:only-child) .input,
+  .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+  #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search > input,
+  .field.has-addons .control:last-child:not(:only-child) .select select {
+    border-bottom-left-radius: 0;
+    border-top-left-radius: 0; }
+  .field.has-addons .control .button:not([disabled]):hover, .field.has-addons .control .button.is-hovered:not([disabled]),
+  .field.has-addons .control .input:not([disabled]):hover,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):hover,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):hover,
+  .field.has-addons .control .input.is-hovered:not([disabled]),
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-hovered:not([disabled]),
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-hovered:not([disabled]),
+  .field.has-addons .control .select select:not([disabled]):hover,
+  .field.has-addons .control .select select.is-hovered:not([disabled]) {
+    z-index: 2; }
+  .field.has-addons .control .button:not([disabled]):focus, .field.has-addons .control .button.is-focused:not([disabled]), .field.has-addons .control .button:not([disabled]):active, .field.has-addons .control .button.is-active:not([disabled]),
+  .field.has-addons .control .input:not([disabled]):focus,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus,
+  .field.has-addons .control .input.is-focused:not([disabled]),
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]),
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]),
+  .field.has-addons .control .input:not([disabled]):active,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active,
+  .field.has-addons .control .input.is-active:not([disabled]),
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]),
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]),
+  .field.has-addons .control .select select:not([disabled]):focus,
+  .field.has-addons .control .select select.is-focused:not([disabled]),
+  .field.has-addons .control .select select:not([disabled]):active,
+  .field.has-addons .control .select select.is-active:not([disabled]) {
+    z-index: 3; }
+    .field.has-addons .control .button:not([disabled]):focus:hover, .field.has-addons .control .button.is-focused:not([disabled]):hover, .field.has-addons .control .button:not([disabled]):active:hover, .field.has-addons .control .button.is-active:not([disabled]):hover,
+    .field.has-addons .control .input:not([disabled]):focus:hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus:hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus:hover,
+    .field.has-addons .control .input.is-focused:not([disabled]):hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]):hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]):hover,
+    .field.has-addons .control .input:not([disabled]):active:hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active:hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active:hover,
+    .field.has-addons .control .input.is-active:not([disabled]):hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]):hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]):hover,
+    .field.has-addons .control .select select:not([disabled]):focus:hover,
+    .field.has-addons .control .select select.is-focused:not([disabled]):hover,
+    .field.has-addons .control .select select:not([disabled]):active:hover,
+    .field.has-addons .control .select select.is-active:not([disabled]):hover {
+      z-index: 4; }
+  .field.has-addons .control.is-expanded {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .field.has-addons.has-addons-centered {
+    justify-content: center; }
+  .field.has-addons.has-addons-right {
+    justify-content: flex-end; }
+  .field.has-addons.has-addons-fullwidth .control {
+    flex-grow: 1;
+    flex-shrink: 0; }
+
+.field.is-grouped {
+  display: flex;
+  justify-content: flex-start; }
+  .field.is-grouped > .control {
+    flex-shrink: 0; }
+    .field.is-grouped > .control:not(:last-child) {
+      margin-bottom: 0;
+      margin-right: 0.75rem; }
+    .field.is-grouped > .control.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+  .field.is-grouped.is-grouped-centered {
+    justify-content: center; }
+  .field.is-grouped.is-grouped-right {
+    justify-content: flex-end; }
+  .field.is-grouped.is-grouped-multiline {
+    flex-wrap: wrap; }
+    .field.is-grouped.is-grouped-multiline > .control:last-child, .field.is-grouped.is-grouped-multiline > .control:not(:last-child) {
+      margin-bottom: 0.75rem; }
+    .field.is-grouped.is-grouped-multiline:last-child {
+      margin-bottom: -0.75rem; }
+    .field.is-grouped.is-grouped-multiline:not(:last-child) {
+      margin-bottom: 0; }
+
+@media screen and (min-width: 769px), print {
+  .field.is-horizontal {
+    display: flex; } }
+
+.field-label .label {
+  font-size: inherit; }
+
+@media screen and (max-width: 768px) {
+  .field-label {
+    margin-bottom: 0.5rem; } }
+
+@media screen and (min-width: 769px), print {
+  .field-label {
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 0;
+    margin-right: 1.5rem;
+    text-align: right; }
+    .field-label.is-small, #documenter .docs-sidebar form.docs-search > input.field-label {
+      font-size: 0.75rem;
+      padding-top: 0.375em; }
+    .field-label.is-normal {
+      padding-top: 0.375em; }
+    .field-label.is-medium {
+      font-size: 1.25rem;
+      padding-top: 0.375em; }
+    .field-label.is-large {
+      font-size: 1.5rem;
+      padding-top: 0.375em; } }
+
+.field-body .field .field {
+  margin-bottom: 0; }
+
+@media screen and (min-width: 769px), print {
+  .field-body {
+    display: flex;
+    flex-basis: 0;
+    flex-grow: 5;
+    flex-shrink: 1; }
+    .field-body .field {
+      margin-bottom: 0; }
+    .field-body > .field {
+      flex-shrink: 1; }
+      .field-body > .field:not(.is-narrow) {
+        flex-grow: 1; }
+      .field-body > .field:not(:last-child) {
+        margin-right: 0.75rem; } }
+
+.control {
+  box-sizing: border-box;
+  clear: both;
+  font-size: 1rem;
+  position: relative;
+  text-align: left; }
+  .control.has-icons-left .input:focus ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input:focus ~ .icon,
+  .control.has-icons-left .select:focus ~ .icon, .control.has-icons-right .input:focus ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input:focus ~ .icon,
+  .control.has-icons-right .select:focus ~ .icon {
+    color: #6b6b6b; }
+  .control.has-icons-left .input.is-small ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input ~ .icon,
+  .control.has-icons-left .select.is-small ~ .icon, .control.has-icons-right .input.is-small ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input ~ .icon,
+  .control.has-icons-right .select.is-small ~ .icon {
+    font-size: 0.75rem; }
+  .control.has-icons-left .input.is-medium ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-medium ~ .icon,
+  .control.has-icons-left .select.is-medium ~ .icon, .control.has-icons-right .input.is-medium ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-medium ~ .icon,
+  .control.has-icons-right .select.is-medium ~ .icon {
+    font-size: 1.25rem; }
+  .control.has-icons-left .input.is-large ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-large ~ .icon,
+  .control.has-icons-left .select.is-large ~ .icon, .control.has-icons-right .input.is-large ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-large ~ .icon,
+  .control.has-icons-right .select.is-large ~ .icon {
+    font-size: 1.5rem; }
+  .control.has-icons-left .icon, .control.has-icons-right .icon {
+    color: #dbdbdb;
+    height: 2.25em;
+    pointer-events: none;
+    position: absolute;
+    top: 0;
+    width: 2.25em;
+    z-index: 4; }
+  .control.has-icons-left .input, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input,
+  .control.has-icons-left .select select {
+    padding-left: 2.25em; }
+  .control.has-icons-left .icon.is-left {
+    left: 0; }
+  .control.has-icons-right .input, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input,
+  .control.has-icons-right .select select {
+    padding-right: 2.25em; }
+  .control.has-icons-right .icon.is-right {
+    right: 0; }
+  .control.is-loading::after {
+    position: absolute !important;
+    right: 0.625em;
+    top: 0.625em;
+    z-index: 4; }
+  .control.is-loading.is-small:after, #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+    font-size: 0.75rem; }
+  .control.is-loading.is-medium:after {
+    font-size: 1.25rem; }
+  .control.is-loading.is-large:after {
+    font-size: 1.5rem; }
+
+.breadcrumb {
+  font-size: 1rem;
+  white-space: nowrap; }
+  .breadcrumb a {
+    align-items: center;
+    color: #2e63b8;
+    display: flex;
+    justify-content: center;
+    padding: 0 0.75em; }
+    .breadcrumb a:hover {
+      color: #363636; }
+  .breadcrumb li {
+    align-items: center;
+    display: flex; }
+    .breadcrumb li:first-child a {
+      padding-left: 0; }
+    .breadcrumb li.is-active a {
+      color: #222222;
+      cursor: default;
+      pointer-events: none; }
+    .breadcrumb li + li::before {
+      color: #b5b5b5;
+      content: "\0002f"; }
+  .breadcrumb ul,
+  .breadcrumb ol {
+    align-items: flex-start;
+    display: flex;
+    flex-wrap: wrap;
+    justify-content: flex-start; }
+  .breadcrumb .icon:first-child {
+    margin-right: 0.5em; }
+  .breadcrumb .icon:last-child {
+    margin-left: 0.5em; }
+  .breadcrumb.is-centered ol,
+  .breadcrumb.is-centered ul {
+    justify-content: center; }
+  .breadcrumb.is-right ol,
+  .breadcrumb.is-right ul {
+    justify-content: flex-end; }
+  .breadcrumb.is-small, #documenter .docs-sidebar form.docs-search > input.breadcrumb {
+    font-size: 0.75rem; }
+  .breadcrumb.is-medium {
+    font-size: 1.25rem; }
+  .breadcrumb.is-large {
+    font-size: 1.5rem; }
+  .breadcrumb.has-arrow-separator li + li::before {
+    content: "\02192"; }
+  .breadcrumb.has-bullet-separator li + li::before {
+    content: "\02022"; }
+  .breadcrumb.has-dot-separator li + li::before {
+    content: "\000b7"; }
+  .breadcrumb.has-succeeds-separator li + li::before {
+    content: "\0227B"; }
+
+.card {
+  background-color: white;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+  color: #222222;
+  max-width: 100%;
+  position: relative; }
+
+.card-header {
+  background-color: transparent;
+  align-items: stretch;
+  box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+  display: flex; }
+
+.card-header-title {
+  align-items: center;
+  color: #222222;
+  display: flex;
+  flex-grow: 1;
+  font-weight: 700;
+  padding: 0.75rem; }
+  .card-header-title.is-centered {
+    justify-content: center; }
+
+.card-header-icon {
+  align-items: center;
+  cursor: pointer;
+  display: flex;
+  justify-content: center;
+  padding: 0.75rem; }
+
+.card-image {
+  display: block;
+  position: relative; }
+
+.card-content {
+  background-color: transparent;
+  padding: 1.5rem; }
+
+.card-footer {
+  background-color: transparent;
+  border-top: 1px solid #dbdbdb;
+  align-items: stretch;
+  display: flex; }
+
+.card-footer-item {
+  align-items: center;
+  display: flex;
+  flex-basis: 0;
+  flex-grow: 1;
+  flex-shrink: 0;
+  justify-content: center;
+  padding: 0.75rem; }
+  .card-footer-item:not(:last-child) {
+    border-right: 1px solid #dbdbdb; }
+
+.card .media:not(:last-child) {
+  margin-bottom: 1.5rem; }
+
+.dropdown {
+  display: inline-flex;
+  position: relative;
+  vertical-align: top; }
+  .dropdown.is-active .dropdown-menu, .dropdown.is-hoverable:hover .dropdown-menu {
+    display: block; }
+  .dropdown.is-right .dropdown-menu {
+    left: auto;
+    right: 0; }
+  .dropdown.is-up .dropdown-menu {
+    bottom: 100%;
+    padding-bottom: 4px;
+    padding-top: initial;
+    top: auto; }
+
+.dropdown-menu {
+  display: none;
+  left: 0;
+  min-width: 12rem;
+  padding-top: 4px;
+  position: absolute;
+  top: 100%;
+  z-index: 20; }
+
+.dropdown-content {
+  background-color: white;
+  border-radius: 4px;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+  padding-bottom: 0.5rem;
+  padding-top: 0.5rem; }
+
+.dropdown-item {
+  color: #4a4a4a;
+  display: block;
+  font-size: 0.875rem;
+  line-height: 1.5;
+  padding: 0.375rem 1rem;
+  position: relative; }
+
+a.dropdown-item,
+button.dropdown-item {
+  padding-right: 3rem;
+  text-align: left;
+  white-space: nowrap;
+  width: 100%; }
+  a.dropdown-item:hover,
+  button.dropdown-item:hover {
+    background-color: whitesmoke;
+    color: #0a0a0a; }
+  a.dropdown-item.is-active,
+  button.dropdown-item.is-active {
+    background-color: #2e63b8;
+    color: #fff; }
+
+.dropdown-divider {
+  background-color: #dbdbdb;
+  border: none;
+  display: block;
+  height: 1px;
+  margin: 0.5rem 0; }
+
+.level {
+  align-items: center;
+  justify-content: space-between; }
+  .level code {
+    border-radius: 4px; }
+  .level img {
+    display: inline-block;
+    vertical-align: top; }
+  .level.is-mobile {
+    display: flex; }
+    .level.is-mobile .level-left,
+    .level.is-mobile .level-right {
+      display: flex; }
+    .level.is-mobile .level-left + .level-right {
+      margin-top: 0; }
+    .level.is-mobile .level-item:not(:last-child) {
+      margin-bottom: 0;
+      margin-right: 0.75rem; }
+    .level.is-mobile .level-item:not(.is-narrow) {
+      flex-grow: 1; }
+  @media screen and (min-width: 769px), print {
+    .level {
+      display: flex; }
+      .level > .level-item:not(.is-narrow) {
+        flex-grow: 1; } }
+.level-item {
+  align-items: center;
+  display: flex;
+  flex-basis: auto;
+  flex-grow: 0;
+  flex-shrink: 0;
+  justify-content: center; }
+  .level-item .title,
+  .level-item .subtitle {
+    margin-bottom: 0; }
+  @media screen and (max-width: 768px) {
+    .level-item:not(:last-child) {
+      margin-bottom: 0.75rem; } }
+.level-left,
+.level-right {
+  flex-basis: auto;
+  flex-grow: 0;
+  flex-shrink: 0; }
+  .level-left .level-item.is-flexible,
+  .level-right .level-item.is-flexible {
+    flex-grow: 1; }
+  @media screen and (min-width: 769px), print {
+    .level-left .level-item:not(:last-child),
+    .level-right .level-item:not(:last-child) {
+      margin-right: 0.75rem; } }
+.level-left {
+  align-items: center;
+  justify-content: flex-start; }
+  @media screen and (max-width: 768px) {
+    .level-left + .level-right {
+      margin-top: 1.5rem; } }
+  @media screen and (min-width: 769px), print {
+    .level-left {
+      display: flex; } }
+.level-right {
+  align-items: center;
+  justify-content: flex-end; }
+  @media screen and (min-width: 769px), print {
+    .level-right {
+      display: flex; } }
+.list {
+  background-color: white;
+  border-radius: 4px;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); }
+
+.list-item {
+  display: block;
+  padding: 0.5em 1em; }
+  .list-item:not(a) {
+    color: #222222; }
+  .list-item:first-child {
+    border-top-left-radius: 4px;
+    border-top-right-radius: 4px; }
+  .list-item:last-child {
+    border-bottom-left-radius: 4px;
+    border-bottom-right-radius: 4px; }
+  .list-item:not(:last-child) {
+    border-bottom: 1px solid #dbdbdb; }
+  .list-item.is-active {
+    background-color: #2e63b8;
+    color: #fff; }
+
+a.list-item {
+  background-color: whitesmoke;
+  cursor: pointer; }
+
+.media {
+  align-items: flex-start;
+  display: flex;
+  text-align: left; }
+  .media .content:not(:last-child) {
+    margin-bottom: 0.75rem; }
+  .media .media {
+    border-top: 1px solid rgba(219, 219, 219, 0.5);
+    display: flex;
+    padding-top: 0.75rem; }
+    .media .media .content:not(:last-child),
+    .media .media .control:not(:last-child) {
+      margin-bottom: 0.5rem; }
+    .media .media .media {
+      padding-top: 0.5rem; }
+      .media .media .media + .media {
+        margin-top: 0.5rem; }
+  .media + .media {
+    border-top: 1px solid rgba(219, 219, 219, 0.5);
+    margin-top: 1rem;
+    padding-top: 1rem; }
+  .media.is-large + .media {
+    margin-top: 1.5rem;
+    padding-top: 1.5rem; }
+
+.media-left,
+.media-right {
+  flex-basis: auto;
+  flex-grow: 0;
+  flex-shrink: 0; }
+
+.media-left {
+  margin-right: 1rem; }
+
+.media-right {
+  margin-left: 1rem; }
+
+.media-content {
+  flex-basis: auto;
+  flex-grow: 1;
+  flex-shrink: 1;
+  text-align: left; }
+
+@media screen and (max-width: 768px) {
+  .media-content {
+    overflow-x: auto; } }
+
+.menu {
+  font-size: 1rem; }
+  .menu.is-small, #documenter .docs-sidebar form.docs-search > input.menu {
+    font-size: 0.75rem; }
+  .menu.is-medium {
+    font-size: 1.25rem; }
+  .menu.is-large {
+    font-size: 1.5rem; }
+
+.menu-list {
+  line-height: 1.25; }
+  .menu-list a {
+    border-radius: 2px;
+    color: #222222;
+    display: block;
+    padding: 0.5em 0.75em; }
+    .menu-list a:hover {
+      background-color: whitesmoke;
+      color: #222222; }
+    .menu-list a.is-active {
+      background-color: #2e63b8;
+      color: #fff; }
+  .menu-list li ul {
+    border-left: 1px solid #dbdbdb;
+    margin: 0.75em;
+    padding-left: 0.75em; }
+
+.menu-label {
+  color: #6b6b6b;
+  font-size: 0.75em;
+  letter-spacing: 0.1em;
+  text-transform: uppercase; }
+  .menu-label:not(:first-child) {
+    margin-top: 1em; }
+  .menu-label:not(:last-child) {
+    margin-bottom: 1em; }
+
+.message {
+  background-color: whitesmoke;
+  border-radius: 4px;
+  font-size: 1rem; }
+  .message strong {
+    color: currentColor; }
+  .message a:not(.button):not(.tag):not(.dropdown-item) {
+    color: currentColor;
+    text-decoration: underline; }
+  .message.is-small, #documenter .docs-sidebar form.docs-search > input.message {
+    font-size: 0.75rem; }
+  .message.is-medium {
+    font-size: 1.25rem; }
+  .message.is-large {
+    font-size: 1.5rem; }
+  .message.is-white {
+    background-color: white; }
+    .message.is-white .message-header {
+      background-color: white;
+      color: #0a0a0a; }
+    .message.is-white .message-body {
+      border-color: white;
+      color: #4d4d4d; }
+  .message.is-black {
+    background-color: #fafafa; }
+    .message.is-black .message-header {
+      background-color: #0a0a0a;
+      color: white; }
+    .message.is-black .message-body {
+      border-color: #0a0a0a;
+      color: #090909; }
+  .message.is-light {
+    background-color: #fafafa; }
+    .message.is-light .message-header {
+      background-color: whitesmoke;
+      color: #363636; }
+    .message.is-light .message-body {
+      border-color: whitesmoke;
+      color: #505050; }
+  .message.is-dark, .content kbd.message {
+    background-color: #fafafa; }
+    .message.is-dark .message-header, .content kbd.message .message-header {
+      background-color: #363636;
+      color: whitesmoke; }
+    .message.is-dark .message-body, .content kbd.message .message-body {
+      border-color: #363636;
+      color: #2a2a2a; }
+  .message.is-primary, .docstring > section > a.message.docs-sourcelink {
+    background-color: #f6fbfd; }
+    .message.is-primary .message-header, .docstring > section > a.message.docs-sourcelink .message-header {
+      background-color: #4eb5de;
+      color: #fff; }
+    .message.is-primary .message-body, .docstring > section > a.message.docs-sourcelink .message-body {
+      border-color: #4eb5de;
+      color: #1f556a; }
+  .message.is-link {
+    background-color: #f7f9fd; }
+    .message.is-link .message-header {
+      background-color: #2e63b8;
+      color: #fff; }
+    .message.is-link .message-body {
+      border-color: #2e63b8;
+      color: #264981; }
+  .message.is-info {
+    background-color: #f6fbfe; }
+    .message.is-info .message-header {
+      background-color: #209cee;
+      color: #fff; }
+    .message.is-info .message-body {
+      border-color: #209cee;
+      color: #12537d; }
+  .message.is-success {
+    background-color: #f6fdf9; }
+    .message.is-success .message-header {
+      background-color: #22c35b;
+      color: #fff; }
+    .message.is-success .message-body {
+      border-color: #22c35b;
+      color: #0f361d; }
+  .message.is-warning {
+    background-color: #fffdf5; }
+    .message.is-warning .message-header {
+      background-color: #ffdd57;
+      color: rgba(0, 0, 0, 0.7); }
+    .message.is-warning .message-body {
+      border-color: #ffdd57;
+      color: #3c3108; }
+  .message.is-danger {
+    background-color: #fff5f5; }
+    .message.is-danger .message-header {
+      background-color: #da0b00;
+      color: #fff; }
+    .message.is-danger .message-body {
+      border-color: #da0b00;
+      color: #9b0c04; }
+
+.message-header {
+  align-items: center;
+  background-color: #222222;
+  border-radius: 4px 4px 0 0;
+  color: #fff;
+  display: flex;
+  font-weight: 700;
+  justify-content: space-between;
+  line-height: 1.25;
+  padding: 0.75em 1em;
+  position: relative; }
+  .message-header .delete {
+    flex-grow: 0;
+    flex-shrink: 0;
+    margin-left: 0.75em; }
+  .message-header + .message-body {
+    border-width: 0;
+    border-top-left-radius: 0;
+    border-top-right-radius: 0; }
+
+.message-body {
+  border-color: #dbdbdb;
+  border-radius: 4px;
+  border-style: solid;
+  border-width: 0 0 0 4px;
+  color: #222222;
+  padding: 1.25em 1.5em; }
+  .message-body code,
+  .message-body pre {
+    background-color: white; }
+  .message-body pre code {
+    background-color: transparent; }
+
+.modal {
+  align-items: center;
+  display: none;
+  flex-direction: column;
+  justify-content: center;
+  overflow: hidden;
+  position: fixed;
+  z-index: 40; }
+  .modal.is-active {
+    display: flex; }
+
+.modal-background {
+  background-color: rgba(10, 10, 10, 0.86); }
+
+.modal-content,
+.modal-card {
+  margin: 0 20px;
+  max-height: calc(100vh - 160px);
+  overflow: auto;
+  position: relative;
+  width: 100%; }
+  @media screen and (min-width: 769px), print {
+    .modal-content,
+    .modal-card {
+      margin: 0 auto;
+      max-height: calc(100vh - 40px);
+      width: 640px; } }
+.modal-close {
+  background: none;
+  height: 40px;
+  position: fixed;
+  right: 20px;
+  top: 20px;
+  width: 40px; }
+
+.modal-card {
+  display: flex;
+  flex-direction: column;
+  max-height: calc(100vh - 40px);
+  overflow: hidden;
+  -ms-overflow-y: visible; }
+
+.modal-card-head,
+.modal-card-foot {
+  align-items: center;
+  background-color: whitesmoke;
+  display: flex;
+  flex-shrink: 0;
+  justify-content: flex-start;
+  padding: 20px;
+  position: relative; }
+
+.modal-card-head {
+  border-bottom: 1px solid #dbdbdb;
+  border-top-left-radius: 6px;
+  border-top-right-radius: 6px; }
+
+.modal-card-title {
+  color: #222222;
+  flex-grow: 1;
+  flex-shrink: 0;
+  font-size: 1.5rem;
+  line-height: 1; }
+
+.modal-card-foot {
+  border-bottom-left-radius: 6px;
+  border-bottom-right-radius: 6px;
+  border-top: 1px solid #dbdbdb; }
+  .modal-card-foot .button:not(:last-child) {
+    margin-right: 0.5em; }
+
+.modal-card-body {
+  -webkit-overflow-scrolling: touch;
+  background-color: white;
+  flex-grow: 1;
+  flex-shrink: 1;
+  overflow: auto;
+  padding: 20px; }
+
+.navbar {
+  background-color: white;
+  min-height: 3.25rem;
+  position: relative;
+  z-index: 30; }
+  .navbar.is-white {
+    background-color: white;
+    color: #0a0a0a; }
+    .navbar.is-white .navbar-brand > .navbar-item,
+    .navbar.is-white .navbar-brand .navbar-link {
+      color: #0a0a0a; }
+    .navbar.is-white .navbar-brand > a.navbar-item:focus, .navbar.is-white .navbar-brand > a.navbar-item:hover, .navbar.is-white .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-white .navbar-brand .navbar-link:focus,
+    .navbar.is-white .navbar-brand .navbar-link:hover,
+    .navbar.is-white .navbar-brand .navbar-link.is-active {
+      background-color: #f2f2f2;
+      color: #0a0a0a; }
+    .navbar.is-white .navbar-brand .navbar-link::after {
+      border-color: #0a0a0a; }
+    .navbar.is-white .navbar-burger {
+      color: #0a0a0a; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-white .navbar-start > .navbar-item,
+      .navbar.is-white .navbar-start .navbar-link,
+      .navbar.is-white .navbar-end > .navbar-item,
+      .navbar.is-white .navbar-end .navbar-link {
+        color: #0a0a0a; }
+      .navbar.is-white .navbar-start > a.navbar-item:focus, .navbar.is-white .navbar-start > a.navbar-item:hover, .navbar.is-white .navbar-start > a.navbar-item.is-active,
+      .navbar.is-white .navbar-start .navbar-link:focus,
+      .navbar.is-white .navbar-start .navbar-link:hover,
+      .navbar.is-white .navbar-start .navbar-link.is-active,
+      .navbar.is-white .navbar-end > a.navbar-item:focus,
+      .navbar.is-white .navbar-end > a.navbar-item:hover,
+      .navbar.is-white .navbar-end > a.navbar-item.is-active,
+      .navbar.is-white .navbar-end .navbar-link:focus,
+      .navbar.is-white .navbar-end .navbar-link:hover,
+      .navbar.is-white .navbar-end .navbar-link.is-active {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      .navbar.is-white .navbar-start .navbar-link::after,
+      .navbar.is-white .navbar-end .navbar-link::after {
+        border-color: #0a0a0a; }
+      .navbar.is-white .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-white .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-white .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      .navbar.is-white .navbar-dropdown a.navbar-item.is-active {
+        background-color: white;
+        color: #0a0a0a; } }
+  .navbar.is-black {
+    background-color: #0a0a0a;
+    color: white; }
+    .navbar.is-black .navbar-brand > .navbar-item,
+    .navbar.is-black .navbar-brand .navbar-link {
+      color: white; }
+    .navbar.is-black .navbar-brand > a.navbar-item:focus, .navbar.is-black .navbar-brand > a.navbar-item:hover, .navbar.is-black .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-black .navbar-brand .navbar-link:focus,
+    .navbar.is-black .navbar-brand .navbar-link:hover,
+    .navbar.is-black .navbar-brand .navbar-link.is-active {
+      background-color: black;
+      color: white; }
+    .navbar.is-black .navbar-brand .navbar-link::after {
+      border-color: white; }
+    .navbar.is-black .navbar-burger {
+      color: white; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-black .navbar-start > .navbar-item,
+      .navbar.is-black .navbar-start .navbar-link,
+      .navbar.is-black .navbar-end > .navbar-item,
+      .navbar.is-black .navbar-end .navbar-link {
+        color: white; }
+      .navbar.is-black .navbar-start > a.navbar-item:focus, .navbar.is-black .navbar-start > a.navbar-item:hover, .navbar.is-black .navbar-start > a.navbar-item.is-active,
+      .navbar.is-black .navbar-start .navbar-link:focus,
+      .navbar.is-black .navbar-start .navbar-link:hover,
+      .navbar.is-black .navbar-start .navbar-link.is-active,
+      .navbar.is-black .navbar-end > a.navbar-item:focus,
+      .navbar.is-black .navbar-end > a.navbar-item:hover,
+      .navbar.is-black .navbar-end > a.navbar-item.is-active,
+      .navbar.is-black .navbar-end .navbar-link:focus,
+      .navbar.is-black .navbar-end .navbar-link:hover,
+      .navbar.is-black .navbar-end .navbar-link.is-active {
+        background-color: black;
+        color: white; }
+      .navbar.is-black .navbar-start .navbar-link::after,
+      .navbar.is-black .navbar-end .navbar-link::after {
+        border-color: white; }
+      .navbar.is-black .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-black .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-black .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: black;
+        color: white; }
+      .navbar.is-black .navbar-dropdown a.navbar-item.is-active {
+        background-color: #0a0a0a;
+        color: white; } }
+  .navbar.is-light {
+    background-color: whitesmoke;
+    color: #363636; }
+    .navbar.is-light .navbar-brand > .navbar-item,
+    .navbar.is-light .navbar-brand .navbar-link {
+      color: #363636; }
+    .navbar.is-light .navbar-brand > a.navbar-item:focus, .navbar.is-light .navbar-brand > a.navbar-item:hover, .navbar.is-light .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-light .navbar-brand .navbar-link:focus,
+    .navbar.is-light .navbar-brand .navbar-link:hover,
+    .navbar.is-light .navbar-brand .navbar-link.is-active {
+      background-color: #e8e8e8;
+      color: #363636; }
+    .navbar.is-light .navbar-brand .navbar-link::after {
+      border-color: #363636; }
+    .navbar.is-light .navbar-burger {
+      color: #363636; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-light .navbar-start > .navbar-item,
+      .navbar.is-light .navbar-start .navbar-link,
+      .navbar.is-light .navbar-end > .navbar-item,
+      .navbar.is-light .navbar-end .navbar-link {
+        color: #363636; }
+      .navbar.is-light .navbar-start > a.navbar-item:focus, .navbar.is-light .navbar-start > a.navbar-item:hover, .navbar.is-light .navbar-start > a.navbar-item.is-active,
+      .navbar.is-light .navbar-start .navbar-link:focus,
+      .navbar.is-light .navbar-start .navbar-link:hover,
+      .navbar.is-light .navbar-start .navbar-link.is-active,
+      .navbar.is-light .navbar-end > a.navbar-item:focus,
+      .navbar.is-light .navbar-end > a.navbar-item:hover,
+      .navbar.is-light .navbar-end > a.navbar-item.is-active,
+      .navbar.is-light .navbar-end .navbar-link:focus,
+      .navbar.is-light .navbar-end .navbar-link:hover,
+      .navbar.is-light .navbar-end .navbar-link.is-active {
+        background-color: #e8e8e8;
+        color: #363636; }
+      .navbar.is-light .navbar-start .navbar-link::after,
+      .navbar.is-light .navbar-end .navbar-link::after {
+        border-color: #363636; }
+      .navbar.is-light .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-light .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-light .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #e8e8e8;
+        color: #363636; }
+      .navbar.is-light .navbar-dropdown a.navbar-item.is-active {
+        background-color: whitesmoke;
+        color: #363636; } }
+  .navbar.is-dark, .content kbd.navbar {
+    background-color: #363636;
+    color: whitesmoke; }
+    .navbar.is-dark .navbar-brand > .navbar-item, .content kbd.navbar .navbar-brand > .navbar-item,
+    .navbar.is-dark .navbar-brand .navbar-link,
+    .content kbd.navbar .navbar-brand .navbar-link {
+      color: whitesmoke; }
+    .navbar.is-dark .navbar-brand > a.navbar-item:focus, .content kbd.navbar .navbar-brand > a.navbar-item:focus, .navbar.is-dark .navbar-brand > a.navbar-item:hover, .content kbd.navbar .navbar-brand > a.navbar-item:hover, .navbar.is-dark .navbar-brand > a.navbar-item.is-active, .content kbd.navbar .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-dark .navbar-brand .navbar-link:focus,
+    .content kbd.navbar .navbar-brand .navbar-link:focus,
+    .navbar.is-dark .navbar-brand .navbar-link:hover,
+    .content kbd.navbar .navbar-brand .navbar-link:hover,
+    .navbar.is-dark .navbar-brand .navbar-link.is-active,
+    .content kbd.navbar .navbar-brand .navbar-link.is-active {
+      background-color: #292929;
+      color: whitesmoke; }
+    .navbar.is-dark .navbar-brand .navbar-link::after, .content kbd.navbar .navbar-brand .navbar-link::after {
+      border-color: whitesmoke; }
+    .navbar.is-dark .navbar-burger, .content kbd.navbar .navbar-burger {
+      color: whitesmoke; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-dark .navbar-start > .navbar-item, .content kbd.navbar .navbar-start > .navbar-item,
+      .navbar.is-dark .navbar-start .navbar-link,
+      .content kbd.navbar .navbar-start .navbar-link,
+      .navbar.is-dark .navbar-end > .navbar-item,
+      .content kbd.navbar .navbar-end > .navbar-item,
+      .navbar.is-dark .navbar-end .navbar-link,
+      .content kbd.navbar .navbar-end .navbar-link {
+        color: whitesmoke; }
+      .navbar.is-dark .navbar-start > a.navbar-item:focus, .content kbd.navbar .navbar-start > a.navbar-item:focus, .navbar.is-dark .navbar-start > a.navbar-item:hover, .content kbd.navbar .navbar-start > a.navbar-item:hover, .navbar.is-dark .navbar-start > a.navbar-item.is-active, .content kbd.navbar .navbar-start > a.navbar-item.is-active,
+      .navbar.is-dark .navbar-start .navbar-link:focus,
+      .content kbd.navbar .navbar-start .navbar-link:focus,
+      .navbar.is-dark .navbar-start .navbar-link:hover,
+      .content kbd.navbar .navbar-start .navbar-link:hover,
+      .navbar.is-dark .navbar-start .navbar-link.is-active,
+      .content kbd.navbar .navbar-start .navbar-link.is-active,
+      .navbar.is-dark .navbar-end > a.navbar-item:focus,
+      .content kbd.navbar .navbar-end > a.navbar-item:focus,
+      .navbar.is-dark .navbar-end > a.navbar-item:hover,
+      .content kbd.navbar .navbar-end > a.navbar-item:hover,
+      .navbar.is-dark .navbar-end > a.navbar-item.is-active,
+      .content kbd.navbar .navbar-end > a.navbar-item.is-active,
+      .navbar.is-dark .navbar-end .navbar-link:focus,
+      .content kbd.navbar .navbar-end .navbar-link:focus,
+      .navbar.is-dark .navbar-end .navbar-link:hover,
+      .content kbd.navbar .navbar-end .navbar-link:hover,
+      .navbar.is-dark .navbar-end .navbar-link.is-active,
+      .content kbd.navbar .navbar-end .navbar-link.is-active {
+        background-color: #292929;
+        color: whitesmoke; }
+      .navbar.is-dark .navbar-start .navbar-link::after, .content kbd.navbar .navbar-start .navbar-link::after,
+      .navbar.is-dark .navbar-end .navbar-link::after,
+      .content kbd.navbar .navbar-end .navbar-link::after {
+        border-color: whitesmoke; }
+      .navbar.is-dark .navbar-item.has-dropdown:focus .navbar-link, .content kbd.navbar .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-dark .navbar-item.has-dropdown:hover .navbar-link,
+      .content kbd.navbar .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-dark .navbar-item.has-dropdown.is-active .navbar-link,
+      .content kbd.navbar .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #292929;
+        color: whitesmoke; }
+      .navbar.is-dark .navbar-dropdown a.navbar-item.is-active, .content kbd.navbar .navbar-dropdown a.navbar-item.is-active {
+        background-color: #363636;
+        color: whitesmoke; } }
+  .navbar.is-primary, .docstring > section > a.navbar.docs-sourcelink {
+    background-color: #4eb5de;
+    color: #fff; }
+    .navbar.is-primary .navbar-brand > .navbar-item, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > .navbar-item,
+    .navbar.is-primary .navbar-brand .navbar-link,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-primary .navbar-brand > a.navbar-item:focus, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:focus, .navbar.is-primary .navbar-brand > a.navbar-item:hover, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:hover, .navbar.is-primary .navbar-brand > a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-primary .navbar-brand .navbar-link:focus,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:focus,
+    .navbar.is-primary .navbar-brand .navbar-link:hover,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:hover,
+    .navbar.is-primary .navbar-brand .navbar-link.is-active,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link.is-active {
+      background-color: #39acda;
+      color: #fff; }
+    .navbar.is-primary .navbar-brand .navbar-link::after, .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-primary .navbar-burger, .docstring > section > a.navbar.docs-sourcelink .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-primary .navbar-start > .navbar-item, .docstring > section > a.navbar.docs-sourcelink .navbar-start > .navbar-item,
+      .navbar.is-primary .navbar-start .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link,
+      .navbar.is-primary .navbar-end > .navbar-item,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > .navbar-item,
+      .navbar.is-primary .navbar-end .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-primary .navbar-start > a.navbar-item:focus, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:focus, .navbar.is-primary .navbar-start > a.navbar-item:hover, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:hover, .navbar.is-primary .navbar-start > a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item.is-active,
+      .navbar.is-primary .navbar-start .navbar-link:focus,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:focus,
+      .navbar.is-primary .navbar-start .navbar-link:hover,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:hover,
+      .navbar.is-primary .navbar-start .navbar-link.is-active,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link.is-active,
+      .navbar.is-primary .navbar-end > a.navbar-item:focus,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:focus,
+      .navbar.is-primary .navbar-end > a.navbar-item:hover,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:hover,
+      .navbar.is-primary .navbar-end > a.navbar-item.is-active,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item.is-active,
+      .navbar.is-primary .navbar-end .navbar-link:focus,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:focus,
+      .navbar.is-primary .navbar-end .navbar-link:hover,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:hover,
+      .navbar.is-primary .navbar-end .navbar-link.is-active,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link.is-active {
+        background-color: #39acda;
+        color: #fff; }
+      .navbar.is-primary .navbar-start .navbar-link::after, .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link::after,
+      .navbar.is-primary .navbar-end .navbar-link::after,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-primary .navbar-item.has-dropdown:focus .navbar-link, .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-primary .navbar-item.has-dropdown:hover .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-primary .navbar-item.has-dropdown.is-active .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #39acda;
+        color: #fff; }
+      .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active {
+        background-color: #4eb5de;
+        color: #fff; } }
+  .navbar.is-link {
+    background-color: #2e63b8;
+    color: #fff; }
+    .navbar.is-link .navbar-brand > .navbar-item,
+    .navbar.is-link .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-link .navbar-brand > a.navbar-item:focus, .navbar.is-link .navbar-brand > a.navbar-item:hover, .navbar.is-link .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-link .navbar-brand .navbar-link:focus,
+    .navbar.is-link .navbar-brand .navbar-link:hover,
+    .navbar.is-link .navbar-brand .navbar-link.is-active {
+      background-color: #2958a4;
+      color: #fff; }
+    .navbar.is-link .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-link .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-link .navbar-start > .navbar-item,
+      .navbar.is-link .navbar-start .navbar-link,
+      .navbar.is-link .navbar-end > .navbar-item,
+      .navbar.is-link .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-link .navbar-start > a.navbar-item:focus, .navbar.is-link .navbar-start > a.navbar-item:hover, .navbar.is-link .navbar-start > a.navbar-item.is-active,
+      .navbar.is-link .navbar-start .navbar-link:focus,
+      .navbar.is-link .navbar-start .navbar-link:hover,
+      .navbar.is-link .navbar-start .navbar-link.is-active,
+      .navbar.is-link .navbar-end > a.navbar-item:focus,
+      .navbar.is-link .navbar-end > a.navbar-item:hover,
+      .navbar.is-link .navbar-end > a.navbar-item.is-active,
+      .navbar.is-link .navbar-end .navbar-link:focus,
+      .navbar.is-link .navbar-end .navbar-link:hover,
+      .navbar.is-link .navbar-end .navbar-link.is-active {
+        background-color: #2958a4;
+        color: #fff; }
+      .navbar.is-link .navbar-start .navbar-link::after,
+      .navbar.is-link .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-link .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-link .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-link .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #2958a4;
+        color: #fff; }
+      .navbar.is-link .navbar-dropdown a.navbar-item.is-active {
+        background-color: #2e63b8;
+        color: #fff; } }
+  .navbar.is-info {
+    background-color: #209cee;
+    color: #fff; }
+    .navbar.is-info .navbar-brand > .navbar-item,
+    .navbar.is-info .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-info .navbar-brand > a.navbar-item:focus, .navbar.is-info .navbar-brand > a.navbar-item:hover, .navbar.is-info .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-info .navbar-brand .navbar-link:focus,
+    .navbar.is-info .navbar-brand .navbar-link:hover,
+    .navbar.is-info .navbar-brand .navbar-link.is-active {
+      background-color: #1190e3;
+      color: #fff; }
+    .navbar.is-info .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-info .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-info .navbar-start > .navbar-item,
+      .navbar.is-info .navbar-start .navbar-link,
+      .navbar.is-info .navbar-end > .navbar-item,
+      .navbar.is-info .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-info .navbar-start > a.navbar-item:focus, .navbar.is-info .navbar-start > a.navbar-item:hover, .navbar.is-info .navbar-start > a.navbar-item.is-active,
+      .navbar.is-info .navbar-start .navbar-link:focus,
+      .navbar.is-info .navbar-start .navbar-link:hover,
+      .navbar.is-info .navbar-start .navbar-link.is-active,
+      .navbar.is-info .navbar-end > a.navbar-item:focus,
+      .navbar.is-info .navbar-end > a.navbar-item:hover,
+      .navbar.is-info .navbar-end > a.navbar-item.is-active,
+      .navbar.is-info .navbar-end .navbar-link:focus,
+      .navbar.is-info .navbar-end .navbar-link:hover,
+      .navbar.is-info .navbar-end .navbar-link.is-active {
+        background-color: #1190e3;
+        color: #fff; }
+      .navbar.is-info .navbar-start .navbar-link::after,
+      .navbar.is-info .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-info .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-info .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-info .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #1190e3;
+        color: #fff; }
+      .navbar.is-info .navbar-dropdown a.navbar-item.is-active {
+        background-color: #209cee;
+        color: #fff; } }
+  .navbar.is-success {
+    background-color: #22c35b;
+    color: #fff; }
+    .navbar.is-success .navbar-brand > .navbar-item,
+    .navbar.is-success .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-success .navbar-brand > a.navbar-item:focus, .navbar.is-success .navbar-brand > a.navbar-item:hover, .navbar.is-success .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-success .navbar-brand .navbar-link:focus,
+    .navbar.is-success .navbar-brand .navbar-link:hover,
+    .navbar.is-success .navbar-brand .navbar-link.is-active {
+      background-color: #1ead51;
+      color: #fff; }
+    .navbar.is-success .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-success .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-success .navbar-start > .navbar-item,
+      .navbar.is-success .navbar-start .navbar-link,
+      .navbar.is-success .navbar-end > .navbar-item,
+      .navbar.is-success .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-success .navbar-start > a.navbar-item:focus, .navbar.is-success .navbar-start > a.navbar-item:hover, .navbar.is-success .navbar-start > a.navbar-item.is-active,
+      .navbar.is-success .navbar-start .navbar-link:focus,
+      .navbar.is-success .navbar-start .navbar-link:hover,
+      .navbar.is-success .navbar-start .navbar-link.is-active,
+      .navbar.is-success .navbar-end > a.navbar-item:focus,
+      .navbar.is-success .navbar-end > a.navbar-item:hover,
+      .navbar.is-success .navbar-end > a.navbar-item.is-active,
+      .navbar.is-success .navbar-end .navbar-link:focus,
+      .navbar.is-success .navbar-end .navbar-link:hover,
+      .navbar.is-success .navbar-end .navbar-link.is-active {
+        background-color: #1ead51;
+        color: #fff; }
+      .navbar.is-success .navbar-start .navbar-link::after,
+      .navbar.is-success .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-success .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-success .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-success .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #1ead51;
+        color: #fff; }
+      .navbar.is-success .navbar-dropdown a.navbar-item.is-active {
+        background-color: #22c35b;
+        color: #fff; } }
+  .navbar.is-warning {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-brand > .navbar-item,
+    .navbar.is-warning .navbar-brand .navbar-link {
+      color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-brand > a.navbar-item:focus, .navbar.is-warning .navbar-brand > a.navbar-item:hover, .navbar.is-warning .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-warning .navbar-brand .navbar-link:focus,
+    .navbar.is-warning .navbar-brand .navbar-link:hover,
+    .navbar.is-warning .navbar-brand .navbar-link.is-active {
+      background-color: #ffd83e;
+      color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-brand .navbar-link::after {
+      border-color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-burger {
+      color: rgba(0, 0, 0, 0.7); }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-warning .navbar-start > .navbar-item,
+      .navbar.is-warning .navbar-start .navbar-link,
+      .navbar.is-warning .navbar-end > .navbar-item,
+      .navbar.is-warning .navbar-end .navbar-link {
+        color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-start > a.navbar-item:focus, .navbar.is-warning .navbar-start > a.navbar-item:hover, .navbar.is-warning .navbar-start > a.navbar-item.is-active,
+      .navbar.is-warning .navbar-start .navbar-link:focus,
+      .navbar.is-warning .navbar-start .navbar-link:hover,
+      .navbar.is-warning .navbar-start .navbar-link.is-active,
+      .navbar.is-warning .navbar-end > a.navbar-item:focus,
+      .navbar.is-warning .navbar-end > a.navbar-item:hover,
+      .navbar.is-warning .navbar-end > a.navbar-item.is-active,
+      .navbar.is-warning .navbar-end .navbar-link:focus,
+      .navbar.is-warning .navbar-end .navbar-link:hover,
+      .navbar.is-warning .navbar-end .navbar-link.is-active {
+        background-color: #ffd83e;
+        color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-start .navbar-link::after,
+      .navbar.is-warning .navbar-end .navbar-link::after {
+        border-color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-warning .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-warning .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #ffd83e;
+        color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-dropdown a.navbar-item.is-active {
+        background-color: #ffdd57;
+        color: rgba(0, 0, 0, 0.7); } }
+  .navbar.is-danger {
+    background-color: #da0b00;
+    color: #fff; }
+    .navbar.is-danger .navbar-brand > .navbar-item,
+    .navbar.is-danger .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-danger .navbar-brand > a.navbar-item:focus, .navbar.is-danger .navbar-brand > a.navbar-item:hover, .navbar.is-danger .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-danger .navbar-brand .navbar-link:focus,
+    .navbar.is-danger .navbar-brand .navbar-link:hover,
+    .navbar.is-danger .navbar-brand .navbar-link.is-active {
+      background-color: #c10a00;
+      color: #fff; }
+    .navbar.is-danger .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-danger .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-danger .navbar-start > .navbar-item,
+      .navbar.is-danger .navbar-start .navbar-link,
+      .navbar.is-danger .navbar-end > .navbar-item,
+      .navbar.is-danger .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-danger .navbar-start > a.navbar-item:focus, .navbar.is-danger .navbar-start > a.navbar-item:hover, .navbar.is-danger .navbar-start > a.navbar-item.is-active,
+      .navbar.is-danger .navbar-start .navbar-link:focus,
+      .navbar.is-danger .navbar-start .navbar-link:hover,
+      .navbar.is-danger .navbar-start .navbar-link.is-active,
+      .navbar.is-danger .navbar-end > a.navbar-item:focus,
+      .navbar.is-danger .navbar-end > a.navbar-item:hover,
+      .navbar.is-danger .navbar-end > a.navbar-item.is-active,
+      .navbar.is-danger .navbar-end .navbar-link:focus,
+      .navbar.is-danger .navbar-end .navbar-link:hover,
+      .navbar.is-danger .navbar-end .navbar-link.is-active {
+        background-color: #c10a00;
+        color: #fff; }
+      .navbar.is-danger .navbar-start .navbar-link::after,
+      .navbar.is-danger .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-danger .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-danger .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-danger .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #c10a00;
+        color: #fff; }
+      .navbar.is-danger .navbar-dropdown a.navbar-item.is-active {
+        background-color: #da0b00;
+        color: #fff; } }
+  .navbar > .container {
+    align-items: stretch;
+    display: flex;
+    min-height: 3.25rem;
+    width: 100%; }
+  .navbar.has-shadow {
+    box-shadow: 0 2px 0 0 whitesmoke; }
+  .navbar.is-fixed-bottom, .navbar.is-fixed-top {
+    left: 0;
+    position: fixed;
+    right: 0;
+    z-index: 30; }
+  .navbar.is-fixed-bottom {
+    bottom: 0; }
+    .navbar.is-fixed-bottom.has-shadow {
+      box-shadow: 0 -2px 0 0 whitesmoke; }
+  .navbar.is-fixed-top {
+    top: 0; }
+
+html.has-navbar-fixed-top,
+body.has-navbar-fixed-top {
+  padding-top: 3.25rem; }
+
+html.has-navbar-fixed-bottom,
+body.has-navbar-fixed-bottom {
+  padding-bottom: 3.25rem; }
+
+.navbar-brand,
+.navbar-tabs {
+  align-items: stretch;
+  display: flex;
+  flex-shrink: 0;
+  min-height: 3.25rem; }
+
+.navbar-brand a.navbar-item:focus, .navbar-brand a.navbar-item:hover {
+  background-color: transparent; }
+
+.navbar-tabs {
+  -webkit-overflow-scrolling: touch;
+  max-width: 100vw;
+  overflow-x: auto;
+  overflow-y: hidden; }
+
+.navbar-burger {
+  color: #4a4a4a;
+  cursor: pointer;
+  display: block;
+  height: 3.25rem;
+  position: relative;
+  width: 3.25rem;
+  margin-left: auto; }
+  .navbar-burger span {
+    background-color: currentColor;
+    display: block;
+    height: 1px;
+    left: calc(50% - 8px);
+    position: absolute;
+    transform-origin: center;
+    transition-duration: 86ms;
+    transition-property: background-color, opacity, transform;
+    transition-timing-function: ease-out;
+    width: 16px; }
+    .navbar-burger span:nth-child(1) {
+      top: calc(50% - 6px); }
+    .navbar-burger span:nth-child(2) {
+      top: calc(50% - 1px); }
+    .navbar-burger span:nth-child(3) {
+      top: calc(50% + 4px); }
+  .navbar-burger:hover {
+    background-color: rgba(0, 0, 0, 0.05); }
+  .navbar-burger.is-active span:nth-child(1) {
+    transform: translateY(5px) rotate(45deg); }
+  .navbar-burger.is-active span:nth-child(2) {
+    opacity: 0; }
+  .navbar-burger.is-active span:nth-child(3) {
+    transform: translateY(-5px) rotate(-45deg); }
+
+.navbar-menu {
+  display: none; }
+
+.navbar-item,
+.navbar-link {
+  color: #4a4a4a;
+  display: block;
+  line-height: 1.5;
+  padding: 0.5rem 0.75rem;
+  position: relative; }
+  .navbar-item .icon:only-child,
+  .navbar-link .icon:only-child {
+    margin-left: -0.25rem;
+    margin-right: -0.25rem; }
+
+a.navbar-item,
+.navbar-link {
+  cursor: pointer; }
+  a.navbar-item:focus, a.navbar-item:focus-within, a.navbar-item:hover, a.navbar-item.is-active,
+  .navbar-link:focus,
+  .navbar-link:focus-within,
+  .navbar-link:hover,
+  .navbar-link.is-active {
+    background-color: #fafafa;
+    color: #2e63b8; }
+
+.navbar-item {
+  display: block;
+  flex-grow: 0;
+  flex-shrink: 0; }
+  .navbar-item img {
+    max-height: 1.75rem; }
+  .navbar-item.has-dropdown {
+    padding: 0; }
+  .navbar-item.is-expanded {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .navbar-item.is-tab {
+    border-bottom: 1px solid transparent;
+    min-height: 3.25rem;
+    padding-bottom: calc(0.5rem - 1px); }
+    .navbar-item.is-tab:focus, .navbar-item.is-tab:hover {
+      background-color: transparent;
+      border-bottom-color: #2e63b8; }
+    .navbar-item.is-tab.is-active {
+      background-color: transparent;
+      border-bottom-color: #2e63b8;
+      border-bottom-style: solid;
+      border-bottom-width: 3px;
+      color: #2e63b8;
+      padding-bottom: calc(0.5rem - 3px); }
+
+.navbar-content {
+  flex-grow: 1;
+  flex-shrink: 1; }
+
+.navbar-link:not(.is-arrowless) {
+  padding-right: 2.5em; }
+  .navbar-link:not(.is-arrowless)::after {
+    border-color: #2e63b8;
+    margin-top: -0.375em;
+    right: 1.125em; }
+
+.navbar-dropdown {
+  font-size: 0.875rem;
+  padding-bottom: 0.5rem;
+  padding-top: 0.5rem; }
+  .navbar-dropdown .navbar-item {
+    padding-left: 1.5rem;
+    padding-right: 1.5rem; }
+
+.navbar-divider {
+  background-color: whitesmoke;
+  border: none;
+  display: none;
+  height: 2px;
+  margin: 0.5rem 0; }
+
+@media screen and (max-width: 1055px) {
+  .navbar > .container {
+    display: block; }
+  .navbar-brand .navbar-item,
+  .navbar-tabs .navbar-item {
+    align-items: center;
+    display: flex; }
+  .navbar-link::after {
+    display: none; }
+  .navbar-menu {
+    background-color: white;
+    box-shadow: 0 8px 16px rgba(10, 10, 10, 0.1);
+    padding: 0.5rem 0; }
+    .navbar-menu.is-active {
+      display: block; }
+  .navbar.is-fixed-bottom-touch, .navbar.is-fixed-top-touch {
+    left: 0;
+    position: fixed;
+    right: 0;
+    z-index: 30; }
+  .navbar.is-fixed-bottom-touch {
+    bottom: 0; }
+    .navbar.is-fixed-bottom-touch.has-shadow {
+      box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+  .navbar.is-fixed-top-touch {
+    top: 0; }
+  .navbar.is-fixed-top .navbar-menu, .navbar.is-fixed-top-touch .navbar-menu {
+    -webkit-overflow-scrolling: touch;
+    max-height: calc(100vh - 3.25rem);
+    overflow: auto; }
+  html.has-navbar-fixed-top-touch,
+  body.has-navbar-fixed-top-touch {
+    padding-top: 3.25rem; }
+  html.has-navbar-fixed-bottom-touch,
+  body.has-navbar-fixed-bottom-touch {
+    padding-bottom: 3.25rem; } }
+
+@media screen and (min-width: 1056px) {
+  .navbar,
+  .navbar-menu,
+  .navbar-start,
+  .navbar-end {
+    align-items: stretch;
+    display: flex; }
+  .navbar {
+    min-height: 3.25rem; }
+    .navbar.is-spaced {
+      padding: 1rem 2rem; }
+      .navbar.is-spaced .navbar-start,
+      .navbar.is-spaced .navbar-end {
+        align-items: center; }
+      .navbar.is-spaced a.navbar-item,
+      .navbar.is-spaced .navbar-link {
+        border-radius: 4px; }
+    .navbar.is-transparent a.navbar-item:focus, .navbar.is-transparent a.navbar-item:hover, .navbar.is-transparent a.navbar-item.is-active,
+    .navbar.is-transparent .navbar-link:focus,
+    .navbar.is-transparent .navbar-link:hover,
+    .navbar.is-transparent .navbar-link.is-active {
+      background-color: transparent !important; }
+    .navbar.is-transparent .navbar-item.has-dropdown.is-active .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus-within .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:hover .navbar-link {
+      background-color: transparent !important; }
+    .navbar.is-transparent .navbar-dropdown a.navbar-item:focus, .navbar.is-transparent .navbar-dropdown a.navbar-item:hover {
+      background-color: whitesmoke;
+      color: #0a0a0a; }
+    .navbar.is-transparent .navbar-dropdown a.navbar-item.is-active {
+      background-color: whitesmoke;
+      color: #2e63b8; }
+  .navbar-burger {
+    display: none; }
+  .navbar-item,
+  .navbar-link {
+    align-items: center;
+    display: flex; }
+  .navbar-item {
+    display: flex; }
+    .navbar-item.has-dropdown {
+      align-items: stretch; }
+    .navbar-item.has-dropdown-up .navbar-link::after {
+      transform: rotate(135deg) translate(0.25em, -0.25em); }
+    .navbar-item.has-dropdown-up .navbar-dropdown {
+      border-bottom: 2px solid #dbdbdb;
+      border-radius: 6px 6px 0 0;
+      border-top: none;
+      bottom: 100%;
+      box-shadow: 0 -8px 8px rgba(10, 10, 10, 0.1);
+      top: auto; }
+    .navbar-item.is-active .navbar-dropdown, .navbar-item.is-hoverable:focus .navbar-dropdown, .navbar-item.is-hoverable:focus-within .navbar-dropdown, .navbar-item.is-hoverable:hover .navbar-dropdown {
+      display: block; }
+      .navbar.is-spaced .navbar-item.is-active .navbar-dropdown, .navbar-item.is-active .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:focus .navbar-dropdown, .navbar-item.is-hoverable:focus .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:focus-within .navbar-dropdown, .navbar-item.is-hoverable:focus-within .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:hover .navbar-dropdown, .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed {
+        opacity: 1;
+        pointer-events: auto;
+        transform: translateY(0); }
+  .navbar-menu {
+    flex-grow: 1;
+    flex-shrink: 0; }
+  .navbar-start {
+    justify-content: flex-start;
+    margin-right: auto; }
+  .navbar-end {
+    justify-content: flex-end;
+    margin-left: auto; }
+  .navbar-dropdown {
+    background-color: white;
+    border-bottom-left-radius: 6px;
+    border-bottom-right-radius: 6px;
+    border-top: 2px solid #dbdbdb;
+    box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1);
+    display: none;
+    font-size: 0.875rem;
+    left: 0;
+    min-width: 100%;
+    position: absolute;
+    top: 100%;
+    z-index: 20; }
+    .navbar-dropdown .navbar-item {
+      padding: 0.375rem 1rem;
+      white-space: nowrap; }
+    .navbar-dropdown a.navbar-item {
+      padding-right: 3rem; }
+      .navbar-dropdown a.navbar-item:focus, .navbar-dropdown a.navbar-item:hover {
+        background-color: whitesmoke;
+        color: #0a0a0a; }
+      .navbar-dropdown a.navbar-item.is-active {
+        background-color: whitesmoke;
+        color: #2e63b8; }
+    .navbar.is-spaced .navbar-dropdown, .navbar-dropdown.is-boxed {
+      border-radius: 6px;
+      border-top: none;
+      box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+      display: block;
+      opacity: 0;
+      pointer-events: none;
+      top: calc(100% + (-4px));
+      transform: translateY(-5px);
+      transition-duration: 86ms;
+      transition-property: opacity, transform; }
+    .navbar-dropdown.is-right {
+      left: auto;
+      right: 0; }
+  .navbar-divider {
+    display: block; }
+  .navbar > .container .navbar-brand,
+  .container > .navbar .navbar-brand {
+    margin-left: -.75rem; }
+  .navbar > .container .navbar-menu,
+  .container > .navbar .navbar-menu {
+    margin-right: -.75rem; }
+  .navbar.is-fixed-bottom-desktop, .navbar.is-fixed-top-desktop {
+    left: 0;
+    position: fixed;
+    right: 0;
+    z-index: 30; }
+  .navbar.is-fixed-bottom-desktop {
+    bottom: 0; }
+    .navbar.is-fixed-bottom-desktop.has-shadow {
+      box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+  .navbar.is-fixed-top-desktop {
+    top: 0; }
+  html.has-navbar-fixed-top-desktop,
+  body.has-navbar-fixed-top-desktop {
+    padding-top: 3.25rem; }
+  html.has-navbar-fixed-bottom-desktop,
+  body.has-navbar-fixed-bottom-desktop {
+    padding-bottom: 3.25rem; }
+  html.has-spaced-navbar-fixed-top,
+  body.has-spaced-navbar-fixed-top {
+    padding-top: 5.25rem; }
+  html.has-spaced-navbar-fixed-bottom,
+  body.has-spaced-navbar-fixed-bottom {
+    padding-bottom: 5.25rem; }
+  a.navbar-item.is-active,
+  .navbar-link.is-active {
+    color: #0a0a0a; }
+  a.navbar-item.is-active:not(:focus):not(:hover),
+  .navbar-link.is-active:not(:focus):not(:hover) {
+    background-color: transparent; }
+  .navbar-item.has-dropdown:focus .navbar-link, .navbar-item.has-dropdown:hover .navbar-link, .navbar-item.has-dropdown.is-active .navbar-link {
+    background-color: #fafafa; } }
+
+.hero.is-fullheight-with-navbar {
+  min-height: calc(100vh - 3.25rem); }
+
+.pagination {
+  font-size: 1rem;
+  margin: -0.25rem; }
+  .pagination.is-small, #documenter .docs-sidebar form.docs-search > input.pagination {
+    font-size: 0.75rem; }
+  .pagination.is-medium {
+    font-size: 1.25rem; }
+  .pagination.is-large {
+    font-size: 1.5rem; }
+  .pagination.is-rounded .pagination-previous, #documenter .docs-sidebar form.docs-search > input.pagination .pagination-previous,
+  .pagination.is-rounded .pagination-next,
+  #documenter .docs-sidebar form.docs-search > input.pagination .pagination-next {
+    padding-left: 1em;
+    padding-right: 1em;
+    border-radius: 290486px; }
+  .pagination.is-rounded .pagination-link, #documenter .docs-sidebar form.docs-search > input.pagination .pagination-link {
+    border-radius: 290486px; }
+
+.pagination,
+.pagination-list {
+  align-items: center;
+  display: flex;
+  justify-content: center;
+  text-align: center; }
+
+.pagination-previous,
+.pagination-next,
+.pagination-link,
+.pagination-ellipsis {
+  font-size: 1em;
+  justify-content: center;
+  margin: 0.25rem;
+  padding-left: 0.5em;
+  padding-right: 0.5em;
+  text-align: center; }
+
+.pagination-previous,
+.pagination-next,
+.pagination-link {
+  border-color: #dbdbdb;
+  color: #363636;
+  min-width: 2.25em; }
+  .pagination-previous:hover,
+  .pagination-next:hover,
+  .pagination-link:hover {
+    border-color: #b5b5b5;
+    color: #363636; }
+  .pagination-previous:focus,
+  .pagination-next:focus,
+  .pagination-link:focus {
+    border-color: #3c5dcd; }
+  .pagination-previous:active,
+  .pagination-next:active,
+  .pagination-link:active {
+    box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2); }
+  .pagination-previous[disabled],
+  .pagination-next[disabled],
+  .pagination-link[disabled] {
+    background-color: #dbdbdb;
+    border-color: #dbdbdb;
+    box-shadow: none;
+    color: #6b6b6b;
+    opacity: 0.5; }
+
+.pagination-previous,
+.pagination-next {
+  padding-left: 0.75em;
+  padding-right: 0.75em;
+  white-space: nowrap; }
+
+.pagination-link.is-current {
+  background-color: #2e63b8;
+  border-color: #2e63b8;
+  color: #fff; }
+
+.pagination-ellipsis {
+  color: #b5b5b5;
+  pointer-events: none; }
+
+.pagination-list {
+  flex-wrap: wrap; }
+
+@media screen and (max-width: 768px) {
+  .pagination {
+    flex-wrap: wrap; }
+  .pagination-previous,
+  .pagination-next {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .pagination-list li {
+    flex-grow: 1;
+    flex-shrink: 1; } }
+
+@media screen and (min-width: 769px), print {
+  .pagination-list {
+    flex-grow: 1;
+    flex-shrink: 1;
+    justify-content: flex-start;
+    order: 1; }
+  .pagination-previous {
+    order: 2; }
+  .pagination-next {
+    order: 3; }
+  .pagination {
+    justify-content: space-between; }
+    .pagination.is-centered .pagination-previous {
+      order: 1; }
+    .pagination.is-centered .pagination-list {
+      justify-content: center;
+      order: 2; }
+    .pagination.is-centered .pagination-next {
+      order: 3; }
+    .pagination.is-right .pagination-previous {
+      order: 1; }
+    .pagination.is-right .pagination-next {
+      order: 2; }
+    .pagination.is-right .pagination-list {
+      justify-content: flex-end;
+      order: 3; } }
+
+.panel {
+  font-size: 1rem; }
+  .panel:not(:last-child) {
+    margin-bottom: 1.5rem; }
+
+.panel-heading,
+.panel-tabs,
+.panel-block {
+  border-bottom: 1px solid #dbdbdb;
+  border-left: 1px solid #dbdbdb;
+  border-right: 1px solid #dbdbdb; }
+  .panel-heading:first-child,
+  .panel-tabs:first-child,
+  .panel-block:first-child {
+    border-top: 1px solid #dbdbdb; }
+
+.panel-heading {
+  background-color: whitesmoke;
+  border-radius: 4px 4px 0 0;
+  color: #222222;
+  font-size: 1.25em;
+  font-weight: 300;
+  line-height: 1.25;
+  padding: 0.5em 0.75em; }
+
+.panel-tabs {
+  align-items: flex-end;
+  display: flex;
+  font-size: 0.875em;
+  justify-content: center; }
+  .panel-tabs a {
+    border-bottom: 1px solid #dbdbdb;
+    margin-bottom: -1px;
+    padding: 0.5em; }
+    .panel-tabs a.is-active {
+      border-bottom-color: #4a4a4a;
+      color: #363636; }
+
+.panel-list a {
+  color: #222222; }
+  .panel-list a:hover {
+    color: #2e63b8; }
+
+.panel-block {
+  align-items: center;
+  color: #222222;
+  display: flex;
+  justify-content: flex-start;
+  padding: 0.5em 0.75em; }
+  .panel-block input[type="checkbox"] {
+    margin-right: 0.75em; }
+  .panel-block > .control {
+    flex-grow: 1;
+    flex-shrink: 1;
+    width: 100%; }
+  .panel-block.is-wrapped {
+    flex-wrap: wrap; }
+  .panel-block.is-active {
+    border-left-color: #2e63b8;
+    color: #363636; }
+    .panel-block.is-active .panel-icon {
+      color: #2e63b8; }
+
+a.panel-block,
+label.panel-block {
+  cursor: pointer; }
+  a.panel-block:hover,
+  label.panel-block:hover {
+    background-color: whitesmoke; }
+
+.panel-icon {
+  display: inline-block;
+  font-size: 14px;
+  height: 1em;
+  line-height: 1em;
+  text-align: center;
+  vertical-align: top;
+  width: 1em;
+  color: #6b6b6b;
+  margin-right: 0.75em; }
+  .panel-icon .fa {
+    font-size: inherit;
+    line-height: inherit; }
+
+.tabs {
+  -webkit-overflow-scrolling: touch;
+  align-items: stretch;
+  display: flex;
+  font-size: 1rem;
+  justify-content: space-between;
+  overflow: hidden;
+  overflow-x: auto;
+  white-space: nowrap; }
+  .tabs a {
+    align-items: center;
+    border-bottom-color: #dbdbdb;
+    border-bottom-style: solid;
+    border-bottom-width: 1px;
+    color: #222222;
+    display: flex;
+    justify-content: center;
+    margin-bottom: -1px;
+    padding: 0.5em 1em;
+    vertical-align: top; }
+    .tabs a:hover {
+      border-bottom-color: #222222;
+      color: #222222; }
+  .tabs li {
+    display: block; }
+    .tabs li.is-active a {
+      border-bottom-color: #2e63b8;
+      color: #2e63b8; }
+  .tabs ul {
+    align-items: center;
+    border-bottom-color: #dbdbdb;
+    border-bottom-style: solid;
+    border-bottom-width: 1px;
+    display: flex;
+    flex-grow: 1;
+    flex-shrink: 0;
+    justify-content: flex-start; }
+    .tabs ul.is-left {
+      padding-right: 0.75em; }
+    .tabs ul.is-center {
+      flex: none;
+      justify-content: center;
+      padding-left: 0.75em;
+      padding-right: 0.75em; }
+    .tabs ul.is-right {
+      justify-content: flex-end;
+      padding-left: 0.75em; }
+  .tabs .icon:first-child {
+    margin-right: 0.5em; }
+  .tabs .icon:last-child {
+    margin-left: 0.5em; }
+  .tabs.is-centered ul {
+    justify-content: center; }
+  .tabs.is-right ul {
+    justify-content: flex-end; }
+  .tabs.is-boxed a {
+    border: 1px solid transparent;
+    border-radius: 4px 4px 0 0; }
+    .tabs.is-boxed a:hover {
+      background-color: whitesmoke;
+      border-bottom-color: #dbdbdb; }
+  .tabs.is-boxed li.is-active a {
+    background-color: white;
+    border-color: #dbdbdb;
+    border-bottom-color: transparent !important; }
+  .tabs.is-fullwidth li {
+    flex-grow: 1;
+    flex-shrink: 0; }
+  .tabs.is-toggle a {
+    border-color: #dbdbdb;
+    border-style: solid;
+    border-width: 1px;
+    margin-bottom: 0;
+    position: relative; }
+    .tabs.is-toggle a:hover {
+      background-color: whitesmoke;
+      border-color: #b5b5b5;
+      z-index: 2; }
+  .tabs.is-toggle li + li {
+    margin-left: -1px; }
+  .tabs.is-toggle li:first-child a {
+    border-radius: 4px 0 0 4px; }
+  .tabs.is-toggle li:last-child a {
+    border-radius: 0 4px 4px 0; }
+  .tabs.is-toggle li.is-active a {
+    background-color: #2e63b8;
+    border-color: #2e63b8;
+    color: #fff;
+    z-index: 1; }
+  .tabs.is-toggle ul {
+    border-bottom: none; }
+  .tabs.is-toggle.is-toggle-rounded li:first-child a {
+    border-bottom-left-radius: 290486px;
+    border-top-left-radius: 290486px;
+    padding-left: 1.25em; }
+  .tabs.is-toggle.is-toggle-rounded li:last-child a {
+    border-bottom-right-radius: 290486px;
+    border-top-right-radius: 290486px;
+    padding-right: 1.25em; }
+  .tabs.is-small, #documenter .docs-sidebar form.docs-search > input.tabs {
+    font-size: 0.75rem; }
+  .tabs.is-medium {
+    font-size: 1.25rem; }
+  .tabs.is-large {
+    font-size: 1.5rem; }
+
+.column {
+  display: block;
+  flex-basis: 0;
+  flex-grow: 1;
+  flex-shrink: 1;
+  padding: 0.75rem; }
+  .columns.is-mobile > .column.is-narrow {
+    flex: none; }
+  .columns.is-mobile > .column.is-full {
+    flex: none;
+    width: 100%; }
+  .columns.is-mobile > .column.is-three-quarters {
+    flex: none;
+    width: 75%; }
+  .columns.is-mobile > .column.is-two-thirds {
+    flex: none;
+    width: 66.6666%; }
+  .columns.is-mobile > .column.is-half {
+    flex: none;
+    width: 50%; }
+  .columns.is-mobile > .column.is-one-third {
+    flex: none;
+    width: 33.3333%; }
+  .columns.is-mobile > .column.is-one-quarter {
+    flex: none;
+    width: 25%; }
+  .columns.is-mobile > .column.is-one-fifth {
+    flex: none;
+    width: 20%; }
+  .columns.is-mobile > .column.is-two-fifths {
+    flex: none;
+    width: 40%; }
+  .columns.is-mobile > .column.is-three-fifths {
+    flex: none;
+    width: 60%; }
+  .columns.is-mobile > .column.is-four-fifths {
+    flex: none;
+    width: 80%; }
+  .columns.is-mobile > .column.is-offset-three-quarters {
+    margin-left: 75%; }
+  .columns.is-mobile > .column.is-offset-two-thirds {
+    margin-left: 66.6666%; }
+  .columns.is-mobile > .column.is-offset-half {
+    margin-left: 50%; }
+  .columns.is-mobile > .column.is-offset-one-third {
+    margin-left: 33.3333%; }
+  .columns.is-mobile > .column.is-offset-one-quarter {
+    margin-left: 25%; }
+  .columns.is-mobile > .column.is-offset-one-fifth {
+    margin-left: 20%; }
+  .columns.is-mobile > .column.is-offset-two-fifths {
+    margin-left: 40%; }
+  .columns.is-mobile > .column.is-offset-three-fifths {
+    margin-left: 60%; }
+  .columns.is-mobile > .column.is-offset-four-fifths {
+    margin-left: 80%; }
+  .columns.is-mobile > .column.is-0 {
+    flex: none;
+    width: 0%; }
+  .columns.is-mobile > .column.is-offset-0 {
+    margin-left: 0%; }
+  .columns.is-mobile > .column.is-1 {
+    flex: none;
+    width: 8.3333333333%; }
+  .columns.is-mobile > .column.is-offset-1 {
+    margin-left: 8.3333333333%; }
+  .columns.is-mobile > .column.is-2 {
+    flex: none;
+    width: 16.6666666667%; }
+  .columns.is-mobile > .column.is-offset-2 {
+    margin-left: 16.6666666667%; }
+  .columns.is-mobile > .column.is-3 {
+    flex: none;
+    width: 25%; }
+  .columns.is-mobile > .column.is-offset-3 {
+    margin-left: 25%; }
+  .columns.is-mobile > .column.is-4 {
+    flex: none;
+    width: 33.3333333333%; }
+  .columns.is-mobile > .column.is-offset-4 {
+    margin-left: 33.3333333333%; }
+  .columns.is-mobile > .column.is-5 {
+    flex: none;
+    width: 41.6666666667%; }
+  .columns.is-mobile > .column.is-offset-5 {
+    margin-left: 41.6666666667%; }
+  .columns.is-mobile > .column.is-6 {
+    flex: none;
+    width: 50%; }
+  .columns.is-mobile > .column.is-offset-6 {
+    margin-left: 50%; }
+  .columns.is-mobile > .column.is-7 {
+    flex: none;
+    width: 58.3333333333%; }
+  .columns.is-mobile > .column.is-offset-7 {
+    margin-left: 58.3333333333%; }
+  .columns.is-mobile > .column.is-8 {
+    flex: none;
+    width: 66.6666666667%; }
+  .columns.is-mobile > .column.is-offset-8 {
+    margin-left: 66.6666666667%; }
+  .columns.is-mobile > .column.is-9 {
+    flex: none;
+    width: 75%; }
+  .columns.is-mobile > .column.is-offset-9 {
+    margin-left: 75%; }
+  .columns.is-mobile > .column.is-10 {
+    flex: none;
+    width: 83.3333333333%; }
+  .columns.is-mobile > .column.is-offset-10 {
+    margin-left: 83.3333333333%; }
+  .columns.is-mobile > .column.is-11 {
+    flex: none;
+    width: 91.6666666667%; }
+  .columns.is-mobile > .column.is-offset-11 {
+    margin-left: 91.6666666667%; }
+  .columns.is-mobile > .column.is-12 {
+    flex: none;
+    width: 100%; }
+  .columns.is-mobile > .column.is-offset-12 {
+    margin-left: 100%; }
+  @media screen and (max-width: 768px) {
+    .column.is-narrow-mobile {
+      flex: none; }
+    .column.is-full-mobile {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-mobile {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-mobile {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-mobile {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-mobile {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-mobile {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-mobile {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-mobile {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-mobile {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-mobile {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-mobile {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-mobile {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-mobile {
+      margin-left: 50%; }
+    .column.is-offset-one-third-mobile {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-mobile {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-mobile {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-mobile {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-mobile {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-mobile {
+      margin-left: 80%; }
+    .column.is-0-mobile {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-mobile {
+      margin-left: 0%; }
+    .column.is-1-mobile {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-mobile {
+      margin-left: 8.3333333333%; }
+    .column.is-2-mobile {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-mobile {
+      margin-left: 16.6666666667%; }
+    .column.is-3-mobile {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-mobile {
+      margin-left: 25%; }
+    .column.is-4-mobile {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-mobile {
+      margin-left: 33.3333333333%; }
+    .column.is-5-mobile {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-mobile {
+      margin-left: 41.6666666667%; }
+    .column.is-6-mobile {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-mobile {
+      margin-left: 50%; }
+    .column.is-7-mobile {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-mobile {
+      margin-left: 58.3333333333%; }
+    .column.is-8-mobile {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-mobile {
+      margin-left: 66.6666666667%; }
+    .column.is-9-mobile {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-mobile {
+      margin-left: 75%; }
+    .column.is-10-mobile {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-mobile {
+      margin-left: 83.3333333333%; }
+    .column.is-11-mobile {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-mobile {
+      margin-left: 91.6666666667%; }
+    .column.is-12-mobile {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-mobile {
+      margin-left: 100%; } }
+  @media screen and (min-width: 769px), print {
+    .column.is-narrow, .column.is-narrow-tablet {
+      flex: none; }
+    .column.is-full, .column.is-full-tablet {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters, .column.is-three-quarters-tablet {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds, .column.is-two-thirds-tablet {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half, .column.is-half-tablet {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third, .column.is-one-third-tablet {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter, .column.is-one-quarter-tablet {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth, .column.is-one-fifth-tablet {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths, .column.is-two-fifths-tablet {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths, .column.is-three-fifths-tablet {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths, .column.is-four-fifths-tablet {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters, .column.is-offset-three-quarters-tablet {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds, .column.is-offset-two-thirds-tablet {
+      margin-left: 66.6666%; }
+    .column.is-offset-half, .column.is-offset-half-tablet {
+      margin-left: 50%; }
+    .column.is-offset-one-third, .column.is-offset-one-third-tablet {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter, .column.is-offset-one-quarter-tablet {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth, .column.is-offset-one-fifth-tablet {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths, .column.is-offset-two-fifths-tablet {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths, .column.is-offset-three-fifths-tablet {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths, .column.is-offset-four-fifths-tablet {
+      margin-left: 80%; }
+    .column.is-0, .column.is-0-tablet {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0, .column.is-offset-0-tablet {
+      margin-left: 0%; }
+    .column.is-1, .column.is-1-tablet {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1, .column.is-offset-1-tablet {
+      margin-left: 8.3333333333%; }
+    .column.is-2, .column.is-2-tablet {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2, .column.is-offset-2-tablet {
+      margin-left: 16.6666666667%; }
+    .column.is-3, .column.is-3-tablet {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3, .column.is-offset-3-tablet {
+      margin-left: 25%; }
+    .column.is-4, .column.is-4-tablet {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4, .column.is-offset-4-tablet {
+      margin-left: 33.3333333333%; }
+    .column.is-5, .column.is-5-tablet {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5, .column.is-offset-5-tablet {
+      margin-left: 41.6666666667%; }
+    .column.is-6, .column.is-6-tablet {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6, .column.is-offset-6-tablet {
+      margin-left: 50%; }
+    .column.is-7, .column.is-7-tablet {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7, .column.is-offset-7-tablet {
+      margin-left: 58.3333333333%; }
+    .column.is-8, .column.is-8-tablet {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8, .column.is-offset-8-tablet {
+      margin-left: 66.6666666667%; }
+    .column.is-9, .column.is-9-tablet {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9, .column.is-offset-9-tablet {
+      margin-left: 75%; }
+    .column.is-10, .column.is-10-tablet {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10, .column.is-offset-10-tablet {
+      margin-left: 83.3333333333%; }
+    .column.is-11, .column.is-11-tablet {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11, .column.is-offset-11-tablet {
+      margin-left: 91.6666666667%; }
+    .column.is-12, .column.is-12-tablet {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12, .column.is-offset-12-tablet {
+      margin-left: 100%; } }
+  @media screen and (max-width: 1055px) {
+    .column.is-narrow-touch {
+      flex: none; }
+    .column.is-full-touch {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-touch {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-touch {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-touch {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-touch {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-touch {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-touch {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-touch {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-touch {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-touch {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-touch {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-touch {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-touch {
+      margin-left: 50%; }
+    .column.is-offset-one-third-touch {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-touch {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-touch {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-touch {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-touch {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-touch {
+      margin-left: 80%; }
+    .column.is-0-touch {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-touch {
+      margin-left: 0%; }
+    .column.is-1-touch {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-touch {
+      margin-left: 8.3333333333%; }
+    .column.is-2-touch {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-touch {
+      margin-left: 16.6666666667%; }
+    .column.is-3-touch {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-touch {
+      margin-left: 25%; }
+    .column.is-4-touch {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-touch {
+      margin-left: 33.3333333333%; }
+    .column.is-5-touch {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-touch {
+      margin-left: 41.6666666667%; }
+    .column.is-6-touch {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-touch {
+      margin-left: 50%; }
+    .column.is-7-touch {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-touch {
+      margin-left: 58.3333333333%; }
+    .column.is-8-touch {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-touch {
+      margin-left: 66.6666666667%; }
+    .column.is-9-touch {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-touch {
+      margin-left: 75%; }
+    .column.is-10-touch {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-touch {
+      margin-left: 83.3333333333%; }
+    .column.is-11-touch {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-touch {
+      margin-left: 91.6666666667%; }
+    .column.is-12-touch {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-touch {
+      margin-left: 100%; } }
+  @media screen and (min-width: 1056px) {
+    .column.is-narrow-desktop {
+      flex: none; }
+    .column.is-full-desktop {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-desktop {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-desktop {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-desktop {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-desktop {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-desktop {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-desktop {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-desktop {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-desktop {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-desktop {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-desktop {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-desktop {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-desktop {
+      margin-left: 50%; }
+    .column.is-offset-one-third-desktop {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-desktop {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-desktop {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-desktop {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-desktop {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-desktop {
+      margin-left: 80%; }
+    .column.is-0-desktop {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-desktop {
+      margin-left: 0%; }
+    .column.is-1-desktop {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-desktop {
+      margin-left: 8.3333333333%; }
+    .column.is-2-desktop {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-desktop {
+      margin-left: 16.6666666667%; }
+    .column.is-3-desktop {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-desktop {
+      margin-left: 25%; }
+    .column.is-4-desktop {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-desktop {
+      margin-left: 33.3333333333%; }
+    .column.is-5-desktop {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-desktop {
+      margin-left: 41.6666666667%; }
+    .column.is-6-desktop {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-desktop {
+      margin-left: 50%; }
+    .column.is-7-desktop {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-desktop {
+      margin-left: 58.3333333333%; }
+    .column.is-8-desktop {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-desktop {
+      margin-left: 66.6666666667%; }
+    .column.is-9-desktop {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-desktop {
+      margin-left: 75%; }
+    .column.is-10-desktop {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-desktop {
+      margin-left: 83.3333333333%; }
+    .column.is-11-desktop {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-desktop {
+      margin-left: 91.6666666667%; }
+    .column.is-12-desktop {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-desktop {
+      margin-left: 100%; } }
+  @media screen and (min-width: 1216px) {
+    .column.is-narrow-widescreen {
+      flex: none; }
+    .column.is-full-widescreen {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-widescreen {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-widescreen {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-widescreen {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-widescreen {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-widescreen {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-widescreen {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-widescreen {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-widescreen {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-widescreen {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-widescreen {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-widescreen {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-widescreen {
+      margin-left: 50%; }
+    .column.is-offset-one-third-widescreen {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-widescreen {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-widescreen {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-widescreen {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-widescreen {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-widescreen {
+      margin-left: 80%; }
+    .column.is-0-widescreen {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-widescreen {
+      margin-left: 0%; }
+    .column.is-1-widescreen {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-widescreen {
+      margin-left: 8.3333333333%; }
+    .column.is-2-widescreen {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-widescreen {
+      margin-left: 16.6666666667%; }
+    .column.is-3-widescreen {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-widescreen {
+      margin-left: 25%; }
+    .column.is-4-widescreen {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-widescreen {
+      margin-left: 33.3333333333%; }
+    .column.is-5-widescreen {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-widescreen {
+      margin-left: 41.6666666667%; }
+    .column.is-6-widescreen {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-widescreen {
+      margin-left: 50%; }
+    .column.is-7-widescreen {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-widescreen {
+      margin-left: 58.3333333333%; }
+    .column.is-8-widescreen {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-widescreen {
+      margin-left: 66.6666666667%; }
+    .column.is-9-widescreen {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-widescreen {
+      margin-left: 75%; }
+    .column.is-10-widescreen {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-widescreen {
+      margin-left: 83.3333333333%; }
+    .column.is-11-widescreen {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-widescreen {
+      margin-left: 91.6666666667%; }
+    .column.is-12-widescreen {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-widescreen {
+      margin-left: 100%; } }
+  @media screen and (min-width: 1408px) {
+    .column.is-narrow-fullhd {
+      flex: none; }
+    .column.is-full-fullhd {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-fullhd {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-fullhd {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-fullhd {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-fullhd {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-fullhd {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-fullhd {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-fullhd {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-fullhd {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-fullhd {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-fullhd {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-fullhd {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-fullhd {
+      margin-left: 50%; }
+    .column.is-offset-one-third-fullhd {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-fullhd {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-fullhd {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-fullhd {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-fullhd {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-fullhd {
+      margin-left: 80%; }
+    .column.is-0-fullhd {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-fullhd {
+      margin-left: 0%; }
+    .column.is-1-fullhd {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-fullhd {
+      margin-left: 8.3333333333%; }
+    .column.is-2-fullhd {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-fullhd {
+      margin-left: 16.6666666667%; }
+    .column.is-3-fullhd {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-fullhd {
+      margin-left: 25%; }
+    .column.is-4-fullhd {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-fullhd {
+      margin-left: 33.3333333333%; }
+    .column.is-5-fullhd {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-fullhd {
+      margin-left: 41.6666666667%; }
+    .column.is-6-fullhd {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-fullhd {
+      margin-left: 50%; }
+    .column.is-7-fullhd {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-fullhd {
+      margin-left: 58.3333333333%; }
+    .column.is-8-fullhd {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-fullhd {
+      margin-left: 66.6666666667%; }
+    .column.is-9-fullhd {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-fullhd {
+      margin-left: 75%; }
+    .column.is-10-fullhd {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-fullhd {
+      margin-left: 83.3333333333%; }
+    .column.is-11-fullhd {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-fullhd {
+      margin-left: 91.6666666667%; }
+    .column.is-12-fullhd {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-fullhd {
+      margin-left: 100%; } }
+.columns {
+  margin-left: -0.75rem;
+  margin-right: -0.75rem;
+  margin-top: -0.75rem; }
+  .columns:last-child {
+    margin-bottom: -0.75rem; }
+  .columns:not(:last-child) {
+    margin-bottom: calc(1.5rem - 0.75rem); }
+  .columns.is-centered {
+    justify-content: center; }
+  .columns.is-gapless {
+    margin-left: 0;
+    margin-right: 0;
+    margin-top: 0; }
+    .columns.is-gapless > .column {
+      margin: 0;
+      padding: 0 !important; }
+    .columns.is-gapless:not(:last-child) {
+      margin-bottom: 1.5rem; }
+    .columns.is-gapless:last-child {
+      margin-bottom: 0; }
+  .columns.is-mobile {
+    display: flex; }
+  .columns.is-multiline {
+    flex-wrap: wrap; }
+  .columns.is-vcentered {
+    align-items: center; }
+  @media screen and (min-width: 769px), print {
+    .columns:not(.is-desktop) {
+      display: flex; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-desktop {
+      display: flex; } }
+.columns.is-variable {
+  --columnGap: 0.75rem;
+  margin-left: calc(-1 * var(--columnGap));
+  margin-right: calc(-1 * var(--columnGap)); }
+  .columns.is-variable .column {
+    padding-left: var(--columnGap);
+    padding-right: var(--columnGap); }
+  .columns.is-variable.is-0 {
+    --columnGap: 0rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-0-mobile {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-0-tablet {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-0-tablet-only {
+      --columnGap: 0rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-0-touch {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-0-desktop {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-0-desktop-only {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-0-widescreen {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-0-widescreen-only {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-0-fullhd {
+      --columnGap: 0rem; } }
+  .columns.is-variable.is-1 {
+    --columnGap: 0.25rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-1-mobile {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-1-tablet {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-1-tablet-only {
+      --columnGap: 0.25rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-1-touch {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-1-desktop {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-1-desktop-only {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-1-widescreen {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-1-widescreen-only {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-1-fullhd {
+      --columnGap: 0.25rem; } }
+  .columns.is-variable.is-2 {
+    --columnGap: 0.5rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-2-mobile {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-2-tablet {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-2-tablet-only {
+      --columnGap: 0.5rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-2-touch {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-2-desktop {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-2-desktop-only {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-2-widescreen {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-2-widescreen-only {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-2-fullhd {
+      --columnGap: 0.5rem; } }
+  .columns.is-variable.is-3 {
+    --columnGap: 0.75rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-3-mobile {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-3-tablet {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-3-tablet-only {
+      --columnGap: 0.75rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-3-touch {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-3-desktop {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-3-desktop-only {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-3-widescreen {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-3-widescreen-only {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-3-fullhd {
+      --columnGap: 0.75rem; } }
+  .columns.is-variable.is-4 {
+    --columnGap: 1rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-4-mobile {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-4-tablet {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-4-tablet-only {
+      --columnGap: 1rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-4-touch {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-4-desktop {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-4-desktop-only {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-4-widescreen {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-4-widescreen-only {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-4-fullhd {
+      --columnGap: 1rem; } }
+  .columns.is-variable.is-5 {
+    --columnGap: 1.25rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-5-mobile {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-5-tablet {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-5-tablet-only {
+      --columnGap: 1.25rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-5-touch {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-5-desktop {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-5-desktop-only {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-5-widescreen {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-5-widescreen-only {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-5-fullhd {
+      --columnGap: 1.25rem; } }
+  .columns.is-variable.is-6 {
+    --columnGap: 1.5rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-6-mobile {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-6-tablet {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-6-tablet-only {
+      --columnGap: 1.5rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-6-touch {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-6-desktop {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-6-desktop-only {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-6-widescreen {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-6-widescreen-only {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-6-fullhd {
+      --columnGap: 1.5rem; } }
+  .columns.is-variable.is-7 {
+    --columnGap: 1.75rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-7-mobile {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-7-tablet {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-7-tablet-only {
+      --columnGap: 1.75rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-7-touch {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-7-desktop {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-7-desktop-only {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-7-widescreen {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-7-widescreen-only {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-7-fullhd {
+      --columnGap: 1.75rem; } }
+  .columns.is-variable.is-8 {
+    --columnGap: 2rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-8-mobile {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-8-tablet {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-8-tablet-only {
+      --columnGap: 2rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-8-touch {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-8-desktop {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-8-desktop-only {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-8-widescreen {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-8-widescreen-only {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-8-fullhd {
+      --columnGap: 2rem; } }
+.tile {
+  align-items: stretch;
+  display: block;
+  flex-basis: 0;
+  flex-grow: 1;
+  flex-shrink: 1;
+  min-height: min-content; }
+  .tile.is-ancestor {
+    margin-left: -0.75rem;
+    margin-right: -0.75rem;
+    margin-top: -0.75rem; }
+    .tile.is-ancestor:last-child {
+      margin-bottom: -0.75rem; }
+    .tile.is-ancestor:not(:last-child) {
+      margin-bottom: 0.75rem; }
+  .tile.is-child {
+    margin: 0 !important; }
+  .tile.is-parent {
+    padding: 0.75rem; }
+  .tile.is-vertical {
+    flex-direction: column; }
+    .tile.is-vertical > .tile.is-child:not(:last-child) {
+      margin-bottom: 1.5rem !important; }
+  @media screen and (min-width: 769px), print {
+    .tile:not(.is-child) {
+      display: flex; }
+    .tile.is-1 {
+      flex: none;
+      width: 8.3333333333%; }
+    .tile.is-2 {
+      flex: none;
+      width: 16.6666666667%; }
+    .tile.is-3 {
+      flex: none;
+      width: 25%; }
+    .tile.is-4 {
+      flex: none;
+      width: 33.3333333333%; }
+    .tile.is-5 {
+      flex: none;
+      width: 41.6666666667%; }
+    .tile.is-6 {
+      flex: none;
+      width: 50%; }
+    .tile.is-7 {
+      flex: none;
+      width: 58.3333333333%; }
+    .tile.is-8 {
+      flex: none;
+      width: 66.6666666667%; }
+    .tile.is-9 {
+      flex: none;
+      width: 75%; }
+    .tile.is-10 {
+      flex: none;
+      width: 83.3333333333%; }
+    .tile.is-11 {
+      flex: none;
+      width: 91.6666666667%; }
+    .tile.is-12 {
+      flex: none;
+      width: 100%; } }
+.hero {
+  align-items: stretch;
+  display: flex;
+  flex-direction: column;
+  justify-content: space-between; }
+  .hero .navbar {
+    background: none; }
+  .hero .tabs ul {
+    border-bottom: none; }
+  .hero.is-white {
+    background-color: white;
+    color: #0a0a0a; }
+    .hero.is-white a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-white strong {
+      color: inherit; }
+    .hero.is-white .title {
+      color: #0a0a0a; }
+    .hero.is-white .subtitle {
+      color: rgba(10, 10, 10, 0.9); }
+      .hero.is-white .subtitle a:not(.button),
+      .hero.is-white .subtitle strong {
+        color: #0a0a0a; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-white .navbar-menu {
+        background-color: white; } }
+    .hero.is-white .navbar-item,
+    .hero.is-white .navbar-link {
+      color: rgba(10, 10, 10, 0.7); }
+    .hero.is-white a.navbar-item:hover, .hero.is-white a.navbar-item.is-active,
+    .hero.is-white .navbar-link:hover,
+    .hero.is-white .navbar-link.is-active {
+      background-color: #f2f2f2;
+      color: #0a0a0a; }
+    .hero.is-white .tabs a {
+      color: #0a0a0a;
+      opacity: 0.9; }
+      .hero.is-white .tabs a:hover {
+        opacity: 1; }
+    .hero.is-white .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-white .tabs.is-boxed a, .hero.is-white .tabs.is-toggle a {
+      color: #0a0a0a; }
+      .hero.is-white .tabs.is-boxed a:hover, .hero.is-white .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-white .tabs.is-boxed li.is-active a, .hero.is-white .tabs.is-boxed li.is-active a:hover, .hero.is-white .tabs.is-toggle li.is-active a, .hero.is-white .tabs.is-toggle li.is-active a:hover {
+      background-color: #0a0a0a;
+      border-color: #0a0a0a;
+      color: white; }
+    .hero.is-white.is-bold {
+      background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-white.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); } }
+  .hero.is-black {
+    background-color: #0a0a0a;
+    color: white; }
+    .hero.is-black a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-black strong {
+      color: inherit; }
+    .hero.is-black .title {
+      color: white; }
+    .hero.is-black .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-black .subtitle a:not(.button),
+      .hero.is-black .subtitle strong {
+        color: white; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-black .navbar-menu {
+        background-color: #0a0a0a; } }
+    .hero.is-black .navbar-item,
+    .hero.is-black .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-black a.navbar-item:hover, .hero.is-black a.navbar-item.is-active,
+    .hero.is-black .navbar-link:hover,
+    .hero.is-black .navbar-link.is-active {
+      background-color: black;
+      color: white; }
+    .hero.is-black .tabs a {
+      color: white;
+      opacity: 0.9; }
+      .hero.is-black .tabs a:hover {
+        opacity: 1; }
+    .hero.is-black .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-black .tabs.is-boxed a, .hero.is-black .tabs.is-toggle a {
+      color: white; }
+      .hero.is-black .tabs.is-boxed a:hover, .hero.is-black .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-black .tabs.is-boxed li.is-active a, .hero.is-black .tabs.is-boxed li.is-active a:hover, .hero.is-black .tabs.is-toggle li.is-active a, .hero.is-black .tabs.is-toggle li.is-active a:hover {
+      background-color: white;
+      border-color: white;
+      color: #0a0a0a; }
+    .hero.is-black.is-bold {
+      background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-black.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } }
+  .hero.is-light {
+    background-color: whitesmoke;
+    color: #363636; }
+    .hero.is-light a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-light strong {
+      color: inherit; }
+    .hero.is-light .title {
+      color: #363636; }
+    .hero.is-light .subtitle {
+      color: rgba(54, 54, 54, 0.9); }
+      .hero.is-light .subtitle a:not(.button),
+      .hero.is-light .subtitle strong {
+        color: #363636; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-light .navbar-menu {
+        background-color: whitesmoke; } }
+    .hero.is-light .navbar-item,
+    .hero.is-light .navbar-link {
+      color: rgba(54, 54, 54, 0.7); }
+    .hero.is-light a.navbar-item:hover, .hero.is-light a.navbar-item.is-active,
+    .hero.is-light .navbar-link:hover,
+    .hero.is-light .navbar-link.is-active {
+      background-color: #e8e8e8;
+      color: #363636; }
+    .hero.is-light .tabs a {
+      color: #363636;
+      opacity: 0.9; }
+      .hero.is-light .tabs a:hover {
+        opacity: 1; }
+    .hero.is-light .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-light .tabs.is-boxed a, .hero.is-light .tabs.is-toggle a {
+      color: #363636; }
+      .hero.is-light .tabs.is-boxed a:hover, .hero.is-light .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-light .tabs.is-boxed li.is-active a, .hero.is-light .tabs.is-boxed li.is-active a:hover, .hero.is-light .tabs.is-toggle li.is-active a, .hero.is-light .tabs.is-toggle li.is-active a:hover {
+      background-color: #363636;
+      border-color: #363636;
+      color: whitesmoke; }
+    .hero.is-light.is-bold {
+      background-image: linear-gradient(141deg, #dfd8d9 0%, whitesmoke 71%, white 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-light.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #dfd8d9 0%, whitesmoke 71%, white 100%); } }
+  .hero.is-dark, .content kbd.hero {
+    background-color: #363636;
+    color: whitesmoke; }
+    .hero.is-dark a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), .content kbd.hero a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-dark strong,
+    .content kbd.hero strong {
+      color: inherit; }
+    .hero.is-dark .title, .content kbd.hero .title {
+      color: whitesmoke; }
+    .hero.is-dark .subtitle, .content kbd.hero .subtitle {
+      color: rgba(245, 245, 245, 0.9); }
+      .hero.is-dark .subtitle a:not(.button), .content kbd.hero .subtitle a:not(.button),
+      .hero.is-dark .subtitle strong,
+      .content kbd.hero .subtitle strong {
+        color: whitesmoke; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-dark .navbar-menu, .content kbd.hero .navbar-menu {
+        background-color: #363636; } }
+    .hero.is-dark .navbar-item, .content kbd.hero .navbar-item,
+    .hero.is-dark .navbar-link,
+    .content kbd.hero .navbar-link {
+      color: rgba(245, 245, 245, 0.7); }
+    .hero.is-dark a.navbar-item:hover, .content kbd.hero a.navbar-item:hover, .hero.is-dark a.navbar-item.is-active, .content kbd.hero a.navbar-item.is-active,
+    .hero.is-dark .navbar-link:hover,
+    .content kbd.hero .navbar-link:hover,
+    .hero.is-dark .navbar-link.is-active,
+    .content kbd.hero .navbar-link.is-active {
+      background-color: #292929;
+      color: whitesmoke; }
+    .hero.is-dark .tabs a, .content kbd.hero .tabs a {
+      color: whitesmoke;
+      opacity: 0.9; }
+      .hero.is-dark .tabs a:hover, .content kbd.hero .tabs a:hover {
+        opacity: 1; }
+    .hero.is-dark .tabs li.is-active a, .content kbd.hero .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-dark .tabs.is-boxed a, .content kbd.hero .tabs.is-boxed a, .hero.is-dark .tabs.is-toggle a, .content kbd.hero .tabs.is-toggle a {
+      color: whitesmoke; }
+      .hero.is-dark .tabs.is-boxed a:hover, .content kbd.hero .tabs.is-boxed a:hover, .hero.is-dark .tabs.is-toggle a:hover, .content kbd.hero .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-dark .tabs.is-boxed li.is-active a, .content kbd.hero .tabs.is-boxed li.is-active a, .hero.is-dark .tabs.is-boxed li.is-active a:hover, .hero.is-dark .tabs.is-toggle li.is-active a, .content kbd.hero .tabs.is-toggle li.is-active a, .hero.is-dark .tabs.is-toggle li.is-active a:hover {
+      background-color: whitesmoke;
+      border-color: whitesmoke;
+      color: #363636; }
+    .hero.is-dark.is-bold, .content kbd.hero.is-bold {
+      background-image: linear-gradient(141deg, #1f191a 0%, #363636 71%, #46403f 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-dark.is-bold .navbar-menu, .content kbd.hero.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #1f191a 0%, #363636 71%, #46403f 100%); } }
+  .hero.is-primary, .docstring > section > a.hero.docs-sourcelink {
+    background-color: #4eb5de;
+    color: #fff; }
+    .hero.is-primary a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), .docstring > section > a.hero.docs-sourcelink a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-primary strong,
+    .docstring > section > a.hero.docs-sourcelink strong {
+      color: inherit; }
+    .hero.is-primary .title, .docstring > section > a.hero.docs-sourcelink .title {
+      color: #fff; }
+    .hero.is-primary .subtitle, .docstring > section > a.hero.docs-sourcelink .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-primary .subtitle a:not(.button), .docstring > section > a.hero.docs-sourcelink .subtitle a:not(.button),
+      .hero.is-primary .subtitle strong,
+      .docstring > section > a.hero.docs-sourcelink .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-primary .navbar-menu, .docstring > section > a.hero.docs-sourcelink .navbar-menu {
+        background-color: #4eb5de; } }
+    .hero.is-primary .navbar-item, .docstring > section > a.hero.docs-sourcelink .navbar-item,
+    .hero.is-primary .navbar-link,
+    .docstring > section > a.hero.docs-sourcelink .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-primary a.navbar-item:hover, .docstring > section > a.hero.docs-sourcelink a.navbar-item:hover, .hero.is-primary a.navbar-item.is-active, .docstring > section > a.hero.docs-sourcelink a.navbar-item.is-active,
+    .hero.is-primary .navbar-link:hover,
+    .docstring > section > a.hero.docs-sourcelink .navbar-link:hover,
+    .hero.is-primary .navbar-link.is-active,
+    .docstring > section > a.hero.docs-sourcelink .navbar-link.is-active {
+      background-color: #39acda;
+      color: #fff; }
+    .hero.is-primary .tabs a, .docstring > section > a.hero.docs-sourcelink .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-primary .tabs a:hover, .docstring > section > a.hero.docs-sourcelink .tabs a:hover {
+        opacity: 1; }
+    .hero.is-primary .tabs li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-primary .tabs.is-boxed a, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a, .hero.is-primary .tabs.is-toggle a, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-primary .tabs.is-boxed a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a:hover, .hero.is-primary .tabs.is-toggle a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-primary .tabs.is-boxed li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a, .hero.is-primary .tabs.is-boxed li.is-active a:hover, .hero.is-primary .tabs.is-toggle li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a, .hero.is-primary .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #4eb5de; }
+    .hero.is-primary.is-bold, .docstring > section > a.hero.is-bold.docs-sourcelink {
+      background-image: linear-gradient(141deg, #1bc7de 0%, #4eb5de 71%, #5fa9e7 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-primary.is-bold .navbar-menu, .docstring > section > a.hero.is-bold.docs-sourcelink .navbar-menu {
+          background-image: linear-gradient(141deg, #1bc7de 0%, #4eb5de 71%, #5fa9e7 100%); } }
+  .hero.is-link {
+    background-color: #2e63b8;
+    color: #fff; }
+    .hero.is-link a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-link strong {
+      color: inherit; }
+    .hero.is-link .title {
+      color: #fff; }
+    .hero.is-link .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-link .subtitle a:not(.button),
+      .hero.is-link .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-link .navbar-menu {
+        background-color: #2e63b8; } }
+    .hero.is-link .navbar-item,
+    .hero.is-link .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-link a.navbar-item:hover, .hero.is-link a.navbar-item.is-active,
+    .hero.is-link .navbar-link:hover,
+    .hero.is-link .navbar-link.is-active {
+      background-color: #2958a4;
+      color: #fff; }
+    .hero.is-link .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-link .tabs a:hover {
+        opacity: 1; }
+    .hero.is-link .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-link .tabs.is-boxed a, .hero.is-link .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-link .tabs.is-boxed a:hover, .hero.is-link .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-link .tabs.is-boxed li.is-active a, .hero.is-link .tabs.is-boxed li.is-active a:hover, .hero.is-link .tabs.is-toggle li.is-active a, .hero.is-link .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #2e63b8; }
+    .hero.is-link.is-bold {
+      background-image: linear-gradient(141deg, #1b6098 0%, #2e63b8 71%, #2d51d2 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-link.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #1b6098 0%, #2e63b8 71%, #2d51d2 100%); } }
+  .hero.is-info {
+    background-color: #209cee;
+    color: #fff; }
+    .hero.is-info a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-info strong {
+      color: inherit; }
+    .hero.is-info .title {
+      color: #fff; }
+    .hero.is-info .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-info .subtitle a:not(.button),
+      .hero.is-info .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-info .navbar-menu {
+        background-color: #209cee; } }
+    .hero.is-info .navbar-item,
+    .hero.is-info .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-info a.navbar-item:hover, .hero.is-info a.navbar-item.is-active,
+    .hero.is-info .navbar-link:hover,
+    .hero.is-info .navbar-link.is-active {
+      background-color: #1190e3;
+      color: #fff; }
+    .hero.is-info .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-info .tabs a:hover {
+        opacity: 1; }
+    .hero.is-info .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-info .tabs.is-boxed a, .hero.is-info .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-info .tabs.is-boxed a:hover, .hero.is-info .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-info .tabs.is-boxed li.is-active a, .hero.is-info .tabs.is-boxed li.is-active a:hover, .hero.is-info .tabs.is-toggle li.is-active a, .hero.is-info .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #209cee; }
+    .hero.is-info.is-bold {
+      background-image: linear-gradient(141deg, #05a6d6 0%, #209cee 71%, #3287f5 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-info.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #05a6d6 0%, #209cee 71%, #3287f5 100%); } }
+  .hero.is-success {
+    background-color: #22c35b;
+    color: #fff; }
+    .hero.is-success a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-success strong {
+      color: inherit; }
+    .hero.is-success .title {
+      color: #fff; }
+    .hero.is-success .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-success .subtitle a:not(.button),
+      .hero.is-success .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-success .navbar-menu {
+        background-color: #22c35b; } }
+    .hero.is-success .navbar-item,
+    .hero.is-success .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-success a.navbar-item:hover, .hero.is-success a.navbar-item.is-active,
+    .hero.is-success .navbar-link:hover,
+    .hero.is-success .navbar-link.is-active {
+      background-color: #1ead51;
+      color: #fff; }
+    .hero.is-success .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-success .tabs a:hover {
+        opacity: 1; }
+    .hero.is-success .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-success .tabs.is-boxed a, .hero.is-success .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-success .tabs.is-boxed a:hover, .hero.is-success .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-success .tabs.is-boxed li.is-active a, .hero.is-success .tabs.is-boxed li.is-active a:hover, .hero.is-success .tabs.is-toggle li.is-active a, .hero.is-success .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #22c35b; }
+    .hero.is-success.is-bold {
+      background-image: linear-gradient(141deg, #12a02c 0%, #22c35b 71%, #1fdf83 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-success.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #12a02c 0%, #22c35b 71%, #1fdf83 100%); } }
+  .hero.is-warning {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-warning strong {
+      color: inherit; }
+    .hero.is-warning .title {
+      color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning .subtitle {
+      color: rgba(0, 0, 0, 0.9); }
+      .hero.is-warning .subtitle a:not(.button),
+      .hero.is-warning .subtitle strong {
+        color: rgba(0, 0, 0, 0.7); }
+    @media screen and (max-width: 1055px) {
+      .hero.is-warning .navbar-menu {
+        background-color: #ffdd57; } }
+    .hero.is-warning .navbar-item,
+    .hero.is-warning .navbar-link {
+      color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning a.navbar-item:hover, .hero.is-warning a.navbar-item.is-active,
+    .hero.is-warning .navbar-link:hover,
+    .hero.is-warning .navbar-link.is-active {
+      background-color: #ffd83e;
+      color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning .tabs a {
+      color: rgba(0, 0, 0, 0.7);
+      opacity: 0.9; }
+      .hero.is-warning .tabs a:hover {
+        opacity: 1; }
+    .hero.is-warning .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-warning .tabs.is-boxed a, .hero.is-warning .tabs.is-toggle a {
+      color: rgba(0, 0, 0, 0.7); }
+      .hero.is-warning .tabs.is-boxed a:hover, .hero.is-warning .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-warning .tabs.is-boxed li.is-active a, .hero.is-warning .tabs.is-boxed li.is-active a:hover, .hero.is-warning .tabs.is-toggle li.is-active a, .hero.is-warning .tabs.is-toggle li.is-active a:hover {
+      background-color: rgba(0, 0, 0, 0.7);
+      border-color: rgba(0, 0, 0, 0.7);
+      color: #ffdd57; }
+    .hero.is-warning.is-bold {
+      background-image: linear-gradient(141deg, #ffae24 0%, #ffdd57 71%, #fffa71 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-warning.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #ffae24 0%, #ffdd57 71%, #fffa71 100%); } }
+  .hero.is-danger {
+    background-color: #da0b00;
+    color: #fff; }
+    .hero.is-danger a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-danger strong {
+      color: inherit; }
+    .hero.is-danger .title {
+      color: #fff; }
+    .hero.is-danger .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-danger .subtitle a:not(.button),
+      .hero.is-danger .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-danger .navbar-menu {
+        background-color: #da0b00; } }
+    .hero.is-danger .navbar-item,
+    .hero.is-danger .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-danger a.navbar-item:hover, .hero.is-danger a.navbar-item.is-active,
+    .hero.is-danger .navbar-link:hover,
+    .hero.is-danger .navbar-link.is-active {
+      background-color: #c10a00;
+      color: #fff; }
+    .hero.is-danger .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-danger .tabs a:hover {
+        opacity: 1; }
+    .hero.is-danger .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-danger .tabs.is-boxed a, .hero.is-danger .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-danger .tabs.is-boxed a:hover, .hero.is-danger .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-danger .tabs.is-boxed li.is-active a, .hero.is-danger .tabs.is-boxed li.is-active a:hover, .hero.is-danger .tabs.is-toggle li.is-active a, .hero.is-danger .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #da0b00; }
+    .hero.is-danger.is-bold {
+      background-image: linear-gradient(141deg, #a70013 0%, #da0b00 71%, #f43500 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-danger.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #a70013 0%, #da0b00 71%, #f43500 100%); } }
+  .hero.is-small .hero-body, #documenter .docs-sidebar form.docs-search > input.hero .hero-body {
+    padding-bottom: 1.5rem;
+    padding-top: 1.5rem; }
+  @media screen and (min-width: 769px), print {
+    .hero.is-medium .hero-body {
+      padding-bottom: 9rem;
+      padding-top: 9rem; } }
+  @media screen and (min-width: 769px), print {
+    .hero.is-large .hero-body {
+      padding-bottom: 18rem;
+      padding-top: 18rem; } }
+  .hero.is-halfheight .hero-body, .hero.is-fullheight .hero-body, .hero.is-fullheight-with-navbar .hero-body {
+    align-items: center;
+    display: flex; }
+    .hero.is-halfheight .hero-body > .container, .hero.is-fullheight .hero-body > .container, .hero.is-fullheight-with-navbar .hero-body > .container {
+      flex-grow: 1;
+      flex-shrink: 1; }
+  .hero.is-halfheight {
+    min-height: 50vh; }
+  .hero.is-fullheight {
+    min-height: 100vh; }
+
+.hero-video {
+  overflow: hidden; }
+  .hero-video video {
+    left: 50%;
+    min-height: 100%;
+    min-width: 100%;
+    position: absolute;
+    top: 50%;
+    transform: translate3d(-50%, -50%, 0); }
+  .hero-video.is-transparent {
+    opacity: 0.3; }
+  @media screen and (max-width: 768px) {
+    .hero-video {
+      display: none; } }
+.hero-buttons {
+  margin-top: 1.5rem; }
+  @media screen and (max-width: 768px) {
+    .hero-buttons .button {
+      display: flex; }
+      .hero-buttons .button:not(:last-child) {
+        margin-bottom: 0.75rem; } }
+  @media screen and (min-width: 769px), print {
+    .hero-buttons {
+      display: flex;
+      justify-content: center; }
+      .hero-buttons .button:not(:last-child) {
+        margin-right: 1.5rem; } }
+.hero-head,
+.hero-foot {
+  flex-grow: 0;
+  flex-shrink: 0; }
+
+.hero-body {
+  flex-grow: 1;
+  flex-shrink: 0;
+  padding: 3rem 1.5rem; }
+
+.section {
+  padding: 3rem 1.5rem; }
+  @media screen and (min-width: 1056px) {
+    .section.is-medium {
+      padding: 9rem 1.5rem; }
+    .section.is-large {
+      padding: 18rem 1.5rem; } }
+.footer {
+  background-color: #fafafa;
+  padding: 3rem 1.5rem 6rem; }
+
+h1 .docs-heading-anchor, h1 .docs-heading-anchor:hover, h1 .docs-heading-anchor:visited, h2 .docs-heading-anchor, h2 .docs-heading-anchor:hover, h2 .docs-heading-anchor:visited, h3 .docs-heading-anchor, h3 .docs-heading-anchor:hover, h3 .docs-heading-anchor:visited, h4 .docs-heading-anchor, h4 .docs-heading-anchor:hover, h4 .docs-heading-anchor:visited, h5 .docs-heading-anchor, h5 .docs-heading-anchor:hover, h5 .docs-heading-anchor:visited, h6 .docs-heading-anchor, h6 .docs-heading-anchor:hover, h6 .docs-heading-anchor:visited {
+  color: #222222; }
+
+h1 .docs-heading-anchor-permalink, h2 .docs-heading-anchor-permalink, h3 .docs-heading-anchor-permalink, h4 .docs-heading-anchor-permalink, h5 .docs-heading-anchor-permalink, h6 .docs-heading-anchor-permalink {
+  visibility: hidden;
+  vertical-align: middle;
+  margin-left: 0.5em;
+  font-size: 0.7rem; }
+  h1 .docs-heading-anchor-permalink::before, h2 .docs-heading-anchor-permalink::before, h3 .docs-heading-anchor-permalink::before, h4 .docs-heading-anchor-permalink::before, h5 .docs-heading-anchor-permalink::before, h6 .docs-heading-anchor-permalink::before {
+    font-family: "Font Awesome 5 Free";
+    font-weight: 900;
+    content: "\f0c1"; }
+
+h1:hover .docs-heading-anchor-permalink, h2:hover .docs-heading-anchor-permalink, h3:hover .docs-heading-anchor-permalink, h4:hover .docs-heading-anchor-permalink, h5:hover .docs-heading-anchor-permalink, h6:hover .docs-heading-anchor-permalink {
+  visibility: visible; }
+
+.docs-dark-only {
+  display: none !important; }
+
+pre {
+  position: relative;
+  overflow: hidden; }
+  pre code, pre code.hljs {
+    padding: 0 0.75rem !important;
+    overflow: auto;
+    display: block; }
+  pre code:first-of-type, pre code.hljs:first-of-type {
+    padding-top: 0.5rem !important; }
+  pre code:last-of-type, pre code.hljs:last-of-type {
+    padding-bottom: 0.5rem !important; }
+  pre .copy-button {
+    opacity: 0.2;
+    transition: opacity 0.2s;
+    position: absolute;
+    right: 0em;
+    top: 0em;
+    padding: 0.5em;
+    width: 2.5em;
+    height: 2.5em;
+    background: transparent;
+    border: none;
+    font-family: "Font Awesome 5 Free";
+    color: #222222;
+    cursor: pointer;
+    text-align: center; }
+    pre .copy-button:focus, pre .copy-button:hover {
+      opacity: 1;
+      background: rgba(34, 34, 34, 0.1);
+      color: #2e63b8; }
+    pre .copy-button.success {
+      color: #259a12;
+      opacity: 1; }
+    pre .copy-button.error {
+      color: #cb3c33;
+      opacity: 1; }
+  pre:hover .copy-button {
+    opacity: 1; }
+
+.admonition {
+  background-color: #b5b5b5;
+  border-style: solid;
+  border-width: 1px;
+  border-color: #363636;
+  border-radius: 4px;
+  font-size: 1rem; }
+  .admonition strong {
+    color: currentColor; }
+  .admonition.is-small, #documenter .docs-sidebar form.docs-search > input.admonition {
+    font-size: 0.75rem; }
+  .admonition.is-medium {
+    font-size: 1.25rem; }
+  .admonition.is-large {
+    font-size: 1.5rem; }
+  .admonition.is-default {
+    background-color: #b5b5b5;
+    border-color: #363636; }
+    .admonition.is-default > .admonition-header {
+      background-color: #363636;
+      color: #fff; }
+    .admonition.is-default > .admonition-body {
+      color: #fff; }
+  .admonition.is-info {
+    background-color: #def0fc;
+    border-color: #209cee; }
+    .admonition.is-info > .admonition-header {
+      background-color: #209cee;
+      color: #fff; }
+    .admonition.is-info > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-success {
+    background-color: #bdf4d1;
+    border-color: #22c35b; }
+    .admonition.is-success > .admonition-header {
+      background-color: #22c35b;
+      color: #fff; }
+    .admonition.is-success > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-warning {
+    background-color: #fff3c5;
+    border-color: #ffdd57; }
+    .admonition.is-warning > .admonition-header {
+      background-color: #ffdd57;
+      color: rgba(0, 0, 0, 0.7); }
+    .admonition.is-warning > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-danger {
+    background-color: #ffaba7;
+    border-color: #da0b00; }
+    .admonition.is-danger > .admonition-header {
+      background-color: #da0b00;
+      color: #fff; }
+    .admonition.is-danger > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-compat {
+    background-color: #bdeff5;
+    border-color: #1db5c9; }
+    .admonition.is-compat > .admonition-header {
+      background-color: #1db5c9;
+      color: #fff; }
+    .admonition.is-compat > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+
+.admonition-header {
+  color: #fff;
+  background-color: #363636;
+  align-items: center;
+  font-weight: 700;
+  justify-content: space-between;
+  line-height: 1.25;
+  padding: 0.5rem 0.75rem;
+  position: relative; }
+  .admonition-header:before {
+    font-family: "Font Awesome 5 Free";
+    font-weight: 900;
+    margin-right: 0.75rem;
+    content: "\f06a"; }
+
+.admonition-body {
+  color: #222222;
+  padding: 0.5rem 0.75rem; }
+  .admonition-body pre {
+    background-color: whitesmoke; }
+  .admonition-body code {
+    background-color: rgba(0, 0, 0, 0.05); }
+
+.docstring {
+  margin-bottom: 1em;
+  background-color: transparent;
+  border: 1px solid #dbdbdb;
+  box-shadow: 2px 2px 3px rgba(10, 10, 10, 0.1);
+  max-width: 100%; }
+  .docstring > header {
+    display: flex;
+    flex-grow: 1;
+    align-items: stretch;
+    padding: 0.5rem 0.75rem;
+    background-color: whitesmoke;
+    box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+    box-shadow: none;
+    border-bottom: 1px solid #dbdbdb; }
+    .docstring > header code {
+      background-color: transparent; }
+    .docstring > header .docstring-binding {
+      margin-right: 0.3em; }
+    .docstring > header .docstring-category {
+      margin-left: 0.3em; }
+  .docstring > section {
+    position: relative;
+    padding: 0.75rem 0.75rem;
+    border-bottom: 1px solid #dbdbdb; }
+    .docstring > section:last-child {
+      border-bottom: none; }
+    .docstring > section > a.docs-sourcelink {
+      transition: opacity 0.3s;
+      opacity: 0;
+      position: absolute;
+      right: 0.375rem;
+      bottom: 0.375rem; }
+      .docstring > section > a.docs-sourcelink:focus {
+        opacity: 1 !important; }
+  .docstring:hover > section > a.docs-sourcelink {
+    opacity: 0.2; }
+  .docstring:focus-within > section > a.docs-sourcelink {
+    opacity: 0.2; }
+  .docstring > section:hover a.docs-sourcelink {
+    opacity: 1; }
+
+.documenter-example-output {
+  background-color: white; }
+
+.outdated-warning-overlay {
+  position: fixed;
+  top: 0;
+  left: 0;
+  right: 0;
+  box-shadow: 0 0 10px rgba(0, 0, 0, 0.3);
+  z-index: 999;
+  background-color: #ffaba7;
+  color: rgba(0, 0, 0, 0.7);
+  border-bottom: 3px solid #da0b00;
+  padding: 10px 35px;
+  text-align: center;
+  font-size: 15px; }
+  .outdated-warning-overlay .outdated-warning-closer {
+    position: absolute;
+    top: calc(50% - 10px);
+    right: 18px;
+    cursor: pointer;
+    width: 12px; }
+  .outdated-warning-overlay a {
+    color: #2e63b8; }
+    .outdated-warning-overlay a:hover {
+      color: #363636; }
+
+.content pre {
+  border: 1px solid #dbdbdb; }
+
+.content code {
+  font-weight: inherit; }
+
+.content a code {
+  color: #2e63b8; }
+
+.content h1 code, .content h2 code, .content h3 code, .content h4 code, .content h5 code, .content h6 code {
+  color: #222222; }
+
+.content table {
+  display: block;
+  width: initial;
+  max-width: 100%;
+  overflow-x: auto; }
+
+.content blockquote > ul:first-child, .content blockquote > ol:first-child, .content .admonition-body > ul:first-child, .content .admonition-body > ol:first-child {
+  margin-top: 0; }
+
+pre, code {
+  font-variant-ligatures: no-contextual; }
+
+.breadcrumb a.is-disabled {
+  cursor: default;
+  pointer-events: none; }
+  .breadcrumb a.is-disabled, .breadcrumb a.is-disabled:hover {
+    color: #222222; }
+
+.hljs {
+  background: initial !important; }
+
+.katex .katex-mathml {
+  top: 0;
+  right: 0; }
+
+.katex-display, mjx-container, .MathJax_Display {
+  margin: 0.5em 0 !important; }
+
+html {
+  -moz-osx-font-smoothing: auto;
+  -webkit-font-smoothing: auto; }
+
+li.no-marker {
+  list-style: none; }
+
+/* This file contain the overall layout.
+ *
+ * The main container is <div> that is identified by id #documenter.
+ */
+#documenter .docs-main > article {
+  overflow-wrap: break-word; }
+  #documenter .docs-main > article .math-container {
+    overflow-x: auto;
+    overflow-y: hidden; }
+
+@media screen and (min-width: 1056px) {
+  #documenter .docs-main {
+    max-width: 52rem;
+    margin-left: 20rem;
+    padding-right: 1rem; } }
+
+@media screen and (max-width: 1055px) {
+  #documenter .docs-main {
+    width: 100%; }
+    #documenter .docs-main > article {
+      max-width: 52rem;
+      margin-left: auto;
+      margin-right: auto;
+      margin-bottom: 1rem;
+      padding: 0 1rem; }
+    #documenter .docs-main > header, #documenter .docs-main > nav {
+      max-width: 100%;
+      width: 100%;
+      margin: 0; } }
+
+#documenter .docs-main header.docs-navbar {
+  background-color: white;
+  border-bottom: 1px solid #dbdbdb;
+  z-index: 2;
+  min-height: 4rem;
+  margin-bottom: 1rem;
+  display: flex; }
+  #documenter .docs-main header.docs-navbar .breadcrumb {
+    flex-grow: 1; }
+  #documenter .docs-main header.docs-navbar .docs-right {
+    display: flex;
+    white-space: nowrap; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-icon, #documenter .docs-main header.docs-navbar .docs-right .docs-label, #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+      display: inline-block; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-label {
+      padding: 0;
+      margin-left: 0.3em; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-settings-button {
+      margin: auto 0 auto 1rem; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+      font-size: 1.5rem;
+      margin: auto 0 auto 1rem; }
+  #documenter .docs-main header.docs-navbar > * {
+    margin: auto 0; }
+  @media screen and (max-width: 1055px) {
+    #documenter .docs-main header.docs-navbar {
+      position: sticky;
+      top: 0;
+      padding: 0 1rem;
+      /* For Headroom.js */
+      transition-property: top, box-shadow;
+      -webkit-transition-property: top, box-shadow;
+      /* Safari */
+      transition-duration: 0.3s;
+      -webkit-transition-duration: 0.3s;
+      /* Safari */ }
+      #documenter .docs-main header.docs-navbar.headroom--not-top {
+        box-shadow: 0.2rem 0rem 0.4rem #bbb;
+        transition-duration: 0.7s;
+        -webkit-transition-duration: 0.7s;
+        /* Safari */ }
+      #documenter .docs-main header.docs-navbar.headroom--unpinned.headroom--not-top.headroom--not-bottom {
+        top: -4.5rem;
+        transition-duration: 0.7s;
+        -webkit-transition-duration: 0.7s;
+        /* Safari */ } }
+#documenter .docs-main section.footnotes {
+  border-top: 1px solid #dbdbdb; }
+  #documenter .docs-main section.footnotes li .tag:first-child, #documenter .docs-main section.footnotes li .docstring > section > a.docs-sourcelink:first-child, #documenter .docs-main section.footnotes li .content kbd:first-child, .content #documenter .docs-main section.footnotes li kbd:first-child {
+    margin-right: 1em;
+    margin-bottom: 0.4em; }
+
+#documenter .docs-main .docs-footer {
+  display: flex;
+  flex-wrap: wrap;
+  margin-left: 0;
+  margin-right: 0;
+  border-top: 1px solid #dbdbdb;
+  padding-top: 1rem;
+  padding-bottom: 1rem; }
+  @media screen and (max-width: 1055px) {
+    #documenter .docs-main .docs-footer {
+      padding-left: 1rem;
+      padding-right: 1rem; } }
+  #documenter .docs-main .docs-footer .docs-footer-nextpage, #documenter .docs-main .docs-footer .docs-footer-prevpage {
+    flex-grow: 1; }
+  #documenter .docs-main .docs-footer .docs-footer-nextpage {
+    text-align: right; }
+  #documenter .docs-main .docs-footer .flexbox-break {
+    flex-basis: 100%;
+    height: 0; }
+  #documenter .docs-main .docs-footer .footer-message {
+    font-size: 0.8em;
+    margin: 0.5em auto 0 auto;
+    text-align: center; }
+
+#documenter .docs-sidebar {
+  display: flex;
+  flex-direction: column;
+  color: #0a0a0a;
+  background-color: whitesmoke;
+  border-right: 1px solid #dbdbdb;
+  padding: 0;
+  flex: 0 0 18rem;
+  z-index: 5;
+  font-size: 1rem;
+  position: fixed;
+  left: -18rem;
+  width: 18rem;
+  height: 100%;
+  transition: left 0.3s;
+  /* Setting up a nicer theme style for the scrollbar */ }
+  #documenter .docs-sidebar.visible {
+    left: 0;
+    box-shadow: 0.4rem 0rem 0.8rem #bbb; }
+    @media screen and (min-width: 1056px) {
+      #documenter .docs-sidebar.visible {
+        box-shadow: none; } }
+  @media screen and (min-width: 1056px) {
+    #documenter .docs-sidebar {
+      left: 0;
+      top: 0; } }
+  #documenter .docs-sidebar .docs-logo {
+    margin-top: 1rem;
+    padding: 0 1rem; }
+    #documenter .docs-sidebar .docs-logo > img {
+      max-height: 6rem;
+      margin: auto; }
+  #documenter .docs-sidebar .docs-package-name {
+    flex-shrink: 0;
+    font-size: 1.5rem;
+    font-weight: 700;
+    text-align: center;
+    white-space: nowrap;
+    overflow: hidden;
+    padding: 0.5rem 0; }
+    #documenter .docs-sidebar .docs-package-name .docs-autofit {
+      max-width: 16.2rem; }
+    #documenter .docs-sidebar .docs-package-name a, #documenter .docs-sidebar .docs-package-name a:hover {
+      color: #0a0a0a; }
+  #documenter .docs-sidebar .docs-version-selector {
+    border-top: 1px solid #dbdbdb;
+    display: none;
+    padding: 0.5rem; }
+    #documenter .docs-sidebar .docs-version-selector.visible {
+      display: flex; }
+  #documenter .docs-sidebar ul.docs-menu {
+    flex-grow: 1;
+    user-select: none;
+    border-top: 1px solid #dbdbdb;
+    padding-bottom: 1.5rem;
+    /* Managing collapsible submenus */ }
+    #documenter .docs-sidebar ul.docs-menu > li > .tocitem {
+      font-weight: bold; }
+    #documenter .docs-sidebar ul.docs-menu > li li {
+      font-size: 0.95rem;
+      margin-left: 1em;
+      border-left: 1px solid #dbdbdb; }
+    #documenter .docs-sidebar ul.docs-menu input.collapse-toggle {
+      display: none; }
+    #documenter .docs-sidebar ul.docs-menu ul.collapsed {
+      display: none; }
+    #documenter .docs-sidebar ul.docs-menu input:checked ~ ul.collapsed {
+      display: block; }
+    #documenter .docs-sidebar ul.docs-menu label.tocitem {
+      display: flex; }
+      #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-label {
+        flex-grow: 2; }
+      #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron {
+        display: inline-block;
+        font-style: normal;
+        font-variant: normal;
+        text-rendering: auto;
+        line-height: 1;
+        font-size: 0.75rem;
+        margin-left: 1rem;
+        margin-top: auto;
+        margin-bottom: auto; }
+        #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron::before {
+          font-family: "Font Awesome 5 Free";
+          font-weight: 900;
+          content: "\f054"; }
+    #documenter .docs-sidebar ul.docs-menu input:checked ~ label.tocitem .docs-chevron::before {
+      content: "\f078"; }
+    #documenter .docs-sidebar ul.docs-menu .tocitem {
+      display: block;
+      padding: 0.5rem 0.5rem; }
+      #documenter .docs-sidebar ul.docs-menu .tocitem, #documenter .docs-sidebar ul.docs-menu .tocitem:hover {
+        color: #0a0a0a;
+        background: whitesmoke; }
+    #documenter .docs-sidebar ul.docs-menu a.tocitem:hover, #documenter .docs-sidebar ul.docs-menu label.tocitem:hover {
+      color: #0a0a0a;
+      background-color: #ebebeb; }
+    #documenter .docs-sidebar ul.docs-menu li.is-active {
+      border-top: 1px solid #dbdbdb;
+      border-bottom: 1px solid #dbdbdb;
+      background-color: white; }
+      #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem, #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem:hover {
+        background-color: white;
+        color: #0a0a0a; }
+      #documenter .docs-sidebar ul.docs-menu li.is-active ul.internal .tocitem:hover {
+        background-color: #ebebeb;
+        color: #0a0a0a; }
+    #documenter .docs-sidebar ul.docs-menu > li.is-active:first-child {
+      border-top: none; }
+    #documenter .docs-sidebar ul.docs-menu ul.internal {
+      margin: 0 0.5rem 0.5rem;
+      border-top: 1px solid #dbdbdb; }
+      #documenter .docs-sidebar ul.docs-menu ul.internal li {
+        font-size: 0.85rem;
+        border-left: none;
+        margin-left: 0;
+        margin-top: 0.5rem; }
+      #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem {
+        width: 100%;
+        padding: 0; }
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diff --git a/v0.3.17/index.html b/v0.3.17/index.html
new file mode 100644
index 000000000..146a90328
--- /dev/null
+++ b/v0.3.17/index.html
@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Home · GeoParams.jl</title><script data-outdated-warner src="assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="assets/documenter.js"></script><script src="siteinfo.js"></script><script src="../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href>GeoParams.jl</a></span></div><form class="docs-search" action="search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li class="is-active"><a class="tocitem" href>Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="man/geounit/">GeoUnit</a></li><li><a class="tocitem" href="man/nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="man/materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="man/density/">Density</a></li><li><a class="tocitem" href="man/creeplaws/">Creep laws</a></li><li><a class="tocitem" href="man/elasticity/">Elasticity</a></li><li><a class="tocitem" href="man/plasticity/">Plasticity</a></li><li><a class="tocitem" href="man/heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="man/conductivity/">Conductivity</a></li><li><a class="tocitem" href="man/latentheat/">Latent heat</a></li><li><a class="tocitem" href="man/radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="man/shearheating/">Shear heating</a></li><li><a class="tocitem" href="man/gravity/">Gravity</a></li><li><a class="tocitem" href="man/melting/">Partial Melting</a></li><li><a class="tocitem" href="man/TASclassification/">TAS classification</a></li><li><a class="tocitem" href="man/zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="man/phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="man/seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="man/plotting/">Plotting</a></li><li><a class="tocitem" href="man/listfunctions/">List of functions</a></li><li><a class="tocitem" href="man/contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Home</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Home</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/index.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="GeoParams.jl"><a class="docs-heading-anchor" href="#GeoParams.jl">GeoParams.jl</a><a id="GeoParams.jl-1"></a><a class="docs-heading-anchor-permalink" href="#GeoParams.jl" title="Permalink"></a></h1><p>Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:</p><ul><li>Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).</li><li>Material parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. </li></ul><p>We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="man/geounit/">GeoUnit »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Tuesday 13 September 2022 07:29">Tuesday 13 September 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.17/man/TASclassification/index.html b/v0.3.17/man/TASclassification/index.html
new file mode 100644
index 000000000..a3adff979
--- /dev/null
+++ b/v0.3.17/man/TASclassification/index.html
@@ -0,0 +1,4 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>TAS classification · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li class="is-active"><a class="tocitem" href>TAS classification</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routine"><span>Computational routine</span></a></li></ul></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>TAS classification</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>TAS classification</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/TASclassification.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="TAS-rock-classification"><a class="docs-heading-anchor" href="#TAS-rock-classification">TAS rock classification</a><a id="TAS-rock-classification-1"></a><a class="docs-heading-anchor-permalink" href="#TAS-rock-classification" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>When doing coupled petrological-geodynamic modelling, the evolution of the composition of the magma is more easily understood when a rock type is given. This routine is an implementation of the TAS diagram (Total Alkali (TA) vs Silica (S)) from Le Maitre et al., 2002.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.TASclassificationData" href="#GeoParams.TASclassification.TASclassificationData"><code>GeoParams.TASclassification.TASclassificationData</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">TASclassificationData
+
+Struct that holds default parameters for the TAS diagram</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/RockClassification/TASclassification.jl#L47-L51">source</a></section></article><h1 id="Computational-routine"><a class="docs-heading-anchor" href="#Computational-routine">Computational routine</a><a id="Computational-routine-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routine" title="Permalink"></a></h1><p>There is one routine with which you can retrieve the index of the TAS rock-type. The routine receives as an input a compositional vector [SiO2,Na2O+K2O] in wt% and sends back an index [1-15].</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.computeTASclassification" href="#GeoParams.TASclassification.computeTASclassification"><code>GeoParams.TASclassification.computeTASclassification</code></a> — <span class="docstring-category">Function</span></header><section><div><p>classIndex computeTASclassification(chemComp::AbstractArray{_T,N}, ClassTASdata::TASclassificationData)</p><p>This compute the classification of the igneous rock using TAS diagram (Total Alkali (TA) vs Silica (S)).</p><p><strong>Input:</strong></p><ul><li><code>chemComp</code> : vector rock composition in oxide wt%</li></ul><p>Output:</p><ul><li><code>classIndex</code> : an integer [0-14] corresponding to a TAS field (TASclassificationData.litho[classIndex])</li></ul><p>This routine was developed based the TAS classification of Le Maitre et al., 2002</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/RockClassification/TASclassification.jl#L113-L127">source</a></section></article><p>Using the index of the rock-type you can get the name of the corresponding volcanic rock using the following routine.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.retrieveTASrockType" href="#GeoParams.TASclassification.retrieveTASrockType"><code>GeoParams.TASclassification.retrieveTASrockType</code></a> — <span class="docstring-category">Function</span></header><section><div><p>retrieveTASrockType(index::Int64; ClassTASdata::TASclassificationData = TASclassificationData())</p><p>This retrieves the name of the volcanic rock-type using the computed index</p><p><strong>Input:</strong></p><ul><li><code>index</code> : integer [1-15]</li></ul><p>Output:</p><ul><li><code>litho</code> : a string of the name of corresponding volcanic rock</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/RockClassification/TASclassification.jl#L93-L105">source</a></section></article><p>We also provide a plotting routine, provided the <code>Plots</code> package is loaded, which produces figures such as: <img src="../assets/img/TAS_diagram.png" alt="subet3"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../melting/">« Partial Melting</a><a class="docs-footer-nextpage" href="../zirconages/">Zircon Ages »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Tuesday 13 September 2022 07:29">Tuesday 13 September 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Conductivity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Conductivity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Conductivity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/conductivity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Conductivity"><a class="docs-heading-anchor" href="#Conductivity">Conductivity</a><a id="Conductivity-1"></a><a class="docs-heading-anchor-permalink" href="#Conductivity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Thermal conductivity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.ConstantConductivity" href="#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantConductivity(k=3.0W/m/K)</code></pre><p>Set a constant conductivity</p><p class="math-container">\[    k  = cst\]</p><p>where <span>$k$</span> is the thermal conductivity [<span>$W/m/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Energy/Conductivity.jl#L29-L37">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington" href="#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Conductivity_Whittington()</code></pre><p>Sets a temperature-dependent conductivity following the parameterization of <em>Whittington, A.G., Hofmeister, A.M., Nabelek, P.I., 2009. Temperature-dependent thermal diffusivity of the Earth’s crust and implications for magmatism. Nature 458, 319–321. https://doi.org/10.1038/nature07818.</em>  Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us to compute </p><p class="math-container">\[    Cp = a + b T - c/T^2 \]</p><p class="math-container">\[    \kappa = d/T - e \textrm{ if } T&lt;=846K\]</p><p class="math-container">\[    \kappa = f - g*T \textrm{ if } T&gt;846K\]</p><p class="math-container">\[    \rho = 2700 kg/m^3\]</p><p class="math-container">\[    k = \kappa \rho Cp\]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/mol/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <code>T</code>:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>d = 576.3m^2/s*K      </li><li>e = 0.062m^2/s        </li><li>f = 0.732m^2/s        </li><li>g = 0.000135m^2/s/K </li></ul><p>This looks like:</p><p><img src="../assets/img/Conductivity_Whittington.png" alt="subet1"/></p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; using GeoParams, Plots
+julia&gt; p=T_Conductivity_Whittington();
+julia&gt; T,k,plt = PlotConductivity(p)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Energy/Conductivity.jl#L81-L127">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised" href="#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Conductivity_Whittington_parameterised()</code></pre><p>Sets a temperature-dependent conductivity that is  parameterization after <em>Whittington, et al.  2009</em> </p><p>The original parameterization involves quite a few parameters; this is a polynomial fit that is roughly valid from 0-1000Celcius</p><p class="math-container">\[    k [W/m/K] = -2 10^{-9} (T-Ts)^3 + 6 10^{-6} (T-Ts)^2 - 0.0062 (T-Ts) + 4\]</p><p class="math-container">\[    Ts = 273.15 K\]</p><p>where <code>T[K]</code> is the temperature in Kelvin (or the nondimensional equivalent of it).</p><p>The comparison of this parameterisation vs. the original one is: <img src="../assets/img/Conductivity_Whittington_smooth.png" alt="subet1"/></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Energy/Conductivity.jl#L218-L236">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">TP_Conductivity()</code></pre><p>Sets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for  </p><p class="math-container">\[    k = \left( a_k +  {b_k \over {T + c_k}} \right) (1 + d_k P) \]</p><p>where <span>$k$</span> is the conductivity [<span>$W/K/m$</span>], and <span>$a_k,b_k,c_k,d_k$</span> are parameters that dependent on the temperature <code>T</code> and pressure <code>P</code>:</p><ul><li><span>$a_k$</span> = 1.18Watt/K/m    </li><li><span>$b_k$</span> = 474Watt/m </li><li><span>$c_k$</span> = 77K       </li><li><span>$d_k$</span> = 0/MPa       </li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Energy/Conductivity.jl#L313-L328">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">Set_TP_Conductivity[&quot;Name of temperature(-pressure) dependent conductivity&quot;]</code></pre><p>This is a dictionary with pre-defined laws:</p><ul><li>&quot;UpperCrust&quot;    </li><li>&quot;LowerCrust&quot;</li><li>&quot;OceanicCrust&quot;</li><li>&quot;Mantle&quot;</li></ul><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; k=Set_TP_Conductivity[&quot;Mantle&quot;]
+T/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)  </code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Energy/Conductivity.jl#L351-L366">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">k = compute_conductivity(P, T, s:&lt;AbstractConductivity)</code></pre><p>Returns the thermal conductivity <code>k</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the parameterizations implemented.</p><p>Currently available:</p><ul><li>ConstantConductivity</li><li>T_Conductivity_Whittington</li><li>TP_Conductivity</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia hljs">julia&gt; T  = (250:100:1250)*K;
+julia&gt; cp = T_HeatCapacity_Whittington()
+julia&gt; Cp = ComputeHeatCapacity(0,T,cp)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Energy/Conductivity.jl#L498-L517">source</a></section><section><div><pre><code class="nohighlight hljs">compute_conductivity!(K::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},Temp::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of conductivity <code>K</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>Temp</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p>_________________________________________________________________________________________________________</p><p>compute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</p><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Energy/Conductivity.jl#L539-L551">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity!" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_conductivity(k_array::AbstractArray{&lt;:AbstractFloat,N},P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, s::ConstantConductivity) where N</code></pre><p>In-place routine to compute constant conductivity    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Energy/Conductivity.jl#L65-L69">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../heatcapacity/">« Heat Capacity</a><a class="docs-footer-nextpage" href="../latentheat/">Latent heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Tuesday 13 September 2022 07:29">Tuesday 13 September 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.17/man/contributing/index.html b/v0.3.17/man/contributing/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Contributing · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li class="is-active"><a class="tocitem" href>Contributing</a><ul class="internal"><li><a class="tocitem" href="#Style-Guide"><span>Style Guide</span></a></li></ul></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Contributing</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Contributing</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/contributing.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Contributing"><a class="docs-heading-anchor" href="#Contributing">Contributing</a><a id="Contributing-1"></a><a class="docs-heading-anchor-permalink" href="#Contributing" title="Permalink"></a></h1><p>This page details the some of the guidelines that should be followed when contributing to this package.</p><p>You can contribute for example by adding new creep laws or by adding new constitutive relationships. If you invest a bit of time now, it will save others in the community a lot of time! The simplest way to do this is by cloning the repository, and creating a new branch for your feature. Once you are happy with what you added (and after you added a test to ensure that it will keep working with future changes), create a pull request and we will evaluate &amp; merge it.</p><h2 id="Style-Guide"><a class="docs-heading-anchor" href="#Style-Guide">Style Guide</a><a id="Style-Guide-1"></a><a class="docs-heading-anchor-permalink" href="#Style-Guide" title="Permalink"></a></h2><p>Follow the style of the surrounding text when making changes. When adding new features please try to stick to the following points whenever applicable.</p><h3 id="Julia"><a class="docs-heading-anchor" href="#Julia">Julia</a><a id="Julia-1"></a><a class="docs-heading-anchor-permalink" href="#Julia" title="Permalink"></a></h3><ul><li>4-space indentation;</li><li>modules spanning entire files should not be indented, but modules that have surrounding code should;</li><li>no blank lines at the start or end of files;</li><li>do not manually align syntax such as <code>=</code> or <code>::</code> over adjacent lines;</li><li>use <code>function ... end</code> when a method definition contains more than one toplevel expression;</li><li>related short-form method definitions don&#39;t need a new line between them;</li><li>unrelated or long-form method definitions must have a blank line separating each one;</li><li>surround all binary operators with whitespace except for <code>::</code>, <code>^</code>, and <code>:</code>;</li><li>files containing a single <code>module ... end</code> must be named after the module;</li><li>method arguments should be ordered based on the amount of usage within the method body;</li><li>methods extended from other modules must follow their inherited argument order, not the above rule;</li><li>explicit <code>return</code> should be preferred except in short-form method definitions;</li><li>avoid dense expressions where possible e.g. prefer nested <code>if</code>s over complex nested <code>?</code>s;</li><li>include a trailing <code>,</code> in vectors, tuples, or method calls that span several lines;</li><li>do not use multiline comments (<code>#=</code> and <code>=#</code>);</li><li>wrap long lines as near to 92 characters as possible, this includes docstrings;</li><li>follow the standard naming conventions used in <code>Base</code>.</li></ul><h3 id="Markdown"><a class="docs-heading-anchor" href="#Markdown">Markdown</a><a id="Markdown-1"></a><a class="docs-heading-anchor-permalink" href="#Markdown" title="Permalink"></a></h3><ul><li>Use unbalanced <code>#</code> headers, i.e. no <code>#</code> on the right hand side of the header text;</li><li>include a single blank line between toplevel blocks;</li><li>unordered lists must use <code>*</code> bullets with two preceding spaces;</li><li>do <em>not</em> hard wrap lines;</li><li>use emphasis (<code>*</code>) and bold (<code>**</code>) sparingly;</li><li>always use fenced code blocks instead of indented blocks;</li><li>follow the conventions outlined in the Julia documentation page on documentation.</li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../listfunctions/">« List of functions</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Tuesday 13 September 2022 07:29">Tuesday 13 September 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.17/man/creeplaws/index.html b/v0.3.17/man/creeplaws/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Creep laws · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Creep laws</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Creep laws</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/creeplaws.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="CreepLaws"><a class="docs-heading-anchor" href="#CreepLaws">CreepLaws</a><a id="CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#CreepLaws" title="Permalink"></a></h1><h1 id="Implemented-creep-laws"><a class="docs-heading-anchor" href="#Implemented-creep-laws">Implemented creep laws</a><a id="Implemented-creep-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-creep-laws" title="Permalink"></a></h1><p>The following viscous creep laws are implemented:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">LinearViscous(η=1e20Pa*s)</code></pre><p>Defines a linear viscous creeplaw </p><p>The (isotopic) linear viscous rheology is given by  </p><p class="math-container">\[    \tau_{ij} = 2 \eta \dot{\varepsilon}_{ij} \]</p><p>or</p><p class="math-container">\[    \dot{\varepsilon}_{ij}  = {\tau_{ij}  \over 2 \eta }\]</p><p>where <span>$\eta_0$</span> is the reference viscosity [Pa*s] at reference strain rate <span>$\dot{\varepsilon}_0$</span>[1/s], and <span>$n$</span> the power law exponent []. </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/CreepLaw/CreepLaw.jl#L53-L68">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)</code></pre><p>Defines a power law viscous creeplaw as: </p><p class="math-container">\[    \tau_{ij}^n  = 2 \eta_0 \left( \dot{\varepsilon}_{ij} \over \dot{\varepsilon}_0 \right)\]</p><p>where <span>$\eta$</span> is the effective viscosity [Pa*s].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/CreepLaw/CreepLaw.jl#L152-L161">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DislocationCreep(n = 1.0NoUnits, r = 0.00.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )</code></pre><p>Defines the flow law parameter of a dislocation creep law  The (isotropic) dislocation creep law, as used by experimtalists, is given by  </p><p class="math-container">\[     \dot{\gamma} = A \sigma_\mathrm{d}^n f_\mathrm{H2O}^r \exp(-\frac{E+PV}{RT})\]</p><p>where <span>$n$</span> is the power law exponent,   <span>$r$</span> is the exponent of fugacity dependence,  <span>$A$</span> is a pre-exponential factor <a href="man/if manually defined, n and r must be either pre-defined or substituted">MPa^(n+r)</a>,   <span>$E$</span> is the activation energy [kJ/mol], <span>$V$</span> is the activation volume [m^3/mol]. <span>$\dot{\gamma}$</span> is the ordinary strain rate [1/s],  and <span>$\sigma_\mathrm{d}$</span> is the differential stress which are converted into second invariants using the apparatus type that can be either AxialCompression, SimpleShear or Invariant. If the flow law paramters are already given as a function of second invariants, choose apparatus = &quot;Invariant&quot;</p><pre><code class="language-julia-repl hljs">julia&gt; x2      =   DislocationCreep(n=3)
+DislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/CreepLaw/DislocationCreep.jl#L18-L37">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetDislocationCreep[&quot;Name of Dislocation Creep&quot;]</code></pre><p>Sets predefined dislocation creep data from a dictionary</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/CreepLaw/Data/DislocationCreep.jl#L2-L7">source</a></section></article><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.DiffusionCreep</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetDiffusionCreep[&quot;Name of Diffusion Creep&quot;]</code></pre><p>This is a dictionary with pre-defined creep laws    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/CreepLaw/Data/DiffusionCreep.jl#L4-L7">source</a></section></article><h1 id="Computational-routines-for-creep-laws"><a class="docs-heading-anchor" href="#Computational-routines-for-creep-laws">Computational routines for creep laws</a><a id="Computational-routines-for-creep-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines-for-creep-laws" title="Permalink"></a></h1><p>Once a creep rheology is defined, we can use the following routines to perform computations within the solvers</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>CreepLawVariables</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_εII(a::DiffusionCreep, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)</code></pre><p>Returns diffusion creep strainrate as a function of 2nd invariant of the stress tensor <span>$\tau_{II}$</span> </p><p class="math-container">\[    \dot{ε}_{II} = A τ_{II}^n d^{p} f_{H_2O}^r \exp \left(- {{E + PV} \over RT} \right)\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/CreepLaw/DiffusionCreep.jl#L133-L142">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(s::ConstantElasticity{_T}, τII; τII_old, dt)</code></pre><p>Computes elastic strainrate given the deviatoric stress at the current (<code>τII</code>) and old timestep (<code>τII_old</code>), for a timestep <code>dt</code>:</p><p class="math-container">\[    \dot{\varepsilon}^{el} = {1 \over 2 G} {D \tau_{II} \over Dt } ≈ {1 \over 2 G} {\tau_{II}- \tilde{\tau}_{II}^{old} \over dt }\]</p><p>Note that we here solve the scalar equation, which is sufficient for isotropic cases. In tensor form, it would be</p><p class="math-container">\[    {\dot{\varepsilon}^{el}}_{ij} = {1 \over 2 G} { \tau_{ij} - \tilde{{\tau_{ij}}}^{old} \over dt }\]</p><p>here <span>$\tilde{{\tau_{ij}}}^{old}$</span> is the rotated old deviatoric stress tensor to ensure objectivity (this can be done with Jaumann derivative, or also by using the full rotational formula).</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Elasticity/Elasticity.jl#L74-L88">source</a></section><section><div><pre><code class="nohighlight hljs">τ = 2Gε + η̇ε =  2G ̇ε Δt + η̇ε
+̇ε = τ/(2GΔt + 2η)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/CreepLaw/Viscosity.jl#L60-L63">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::NTuple{N, AbstractConstitutiveLaw},τII,  args)</code></pre><p>Compute deviatoric strain rate given deviatoric stress invariant</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/CreepLaw/Viscosity.jl#L96-L101">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)</code></pre><p>Computes strainrate as a function of stress</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/CreepLaw/DiffusionCreep.jl#L167-L171">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, s::LinearViscous, TauII::AbstractArray{_T,N})</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/CreepLaw/CreepLaw.jl#L86-L89">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(ε_el::AbstractArray{_T,N}, s::ConstantElasticity{_T}; τII::AbstractArray{_T,N}, τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)</code></pre><p>In-place computation of the elastic shear strainrate for given deviatoric stress invariants at the previous (<code>τII_old</code>) and new (<code>τII</code>) timestep, as well as the timestep <code>dt</code>  </p><p class="math-container">\[    \dot{\varepsilon}^{el} = {1 \over 2 G} {D \tau_{II} \over Dt } ≈ {1 \over 2 G} {\tau_{II}- \tau_{II}^{old} \over dt }\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Elasticity/Elasticity.jl#L115-L124">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_τII(a::DislocationCreep, EpsII; P, T, f, args...)</code></pre><p>Computes the stress for a Dislocation creep law given a certain strain rate</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/CreepLaw/DislocationCreep.jl#L194-L199">source</a></section><section><div><pre><code class="nohighlight hljs">computeCreepLaw_TauII(EpsII::_T, a::DiffusionCreep; T::_T, P=zero(_T), f=one(_T), d=one(_T), kwargs...)</code></pre><p>Returns diffusion creep stress as a function of 2nd invariant of the strain rate </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/CreepLaw/DiffusionCreep.jl#L210-L214">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(s::LinearViscous, EpsII; kwargs...)</code></pre><p>Returns second invariant of the stress tensor given a 2nd invariant of strain rate tensor </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/CreepLaw/CreepLaw.jl#L112-L116">source</a></section><section><div><pre><code class="nohighlight hljs">τ = 2Gε + η̇ε =  2G ̇ε Δt + η̇ε</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/CreepLaw/Viscosity.jl#L122-L124">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(v::NTuple{N, AbstractConstitutiveLaw}, εII, args; tol=1e-6, verbose=false)</code></pre><p>Compute deviatoric stress invariant given strain rate 2nd invariant</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/CreepLaw/Viscosity.jl#L133-L138">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_τII!(TauII::AbstractArray{_T,N}, a::DislocationCreep, EpsII::AbstractArray{_T,N}; 
+    P =       zero(TauII)::AbstractArray{_T,N}, 
+    T = ones(size(TauII))::AbstractArray{_T,N}, 
+    f = ones(size(TauII))::AbstractArray{_T,N})</code></pre><p>Computes the stress for a Dislocation creep law</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/CreepLaw/DislocationCreep.jl#L229-L236">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII!(τII::AbstractArray{_T,N}, s::ConstantElasticity{_T}. ε_el::AbstractArray{_T,N}; τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)</code></pre><p>In-place update of the elastic stress for given deviatoric strainrate invariants and stres invariant at the old (<code>τII_old</code>) timestep, as well as the timestep <code>dt</code>  </p><p class="math-container">\[    \tau_{II} = 2 G dt \dot{\varepsilon}^{el} + \tau_{II}^{old}\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Elasticity/Elasticity.jl#L139-L148">source</a></section></article><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.CorrectionFactor</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.RemoveTensorCorrection</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../density/">« Density</a><a class="docs-footer-nextpage" href="../elasticity/">Elasticity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Tuesday 13 September 2022 07:29">Tuesday 13 September 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li class="is-active"><a class="tocitem" href>Density</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" 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is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Density</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Density</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/density.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Density"><a class="docs-heading-anchor" href="#Density">Density</a><a id="Density-1"></a><a class="docs-heading-anchor-permalink" href="#Density" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>The density equation of state can be specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.ConstantDensity" href="#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantDensity(ρ=2900kg/m^3)</code></pre><p>Set a constant density:</p><p class="math-container">\[    \rho  = cst\]</p><p>where <span>$\rho$</span> is the density [<span>$kg/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Density/Density.jl#L38-L46">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.PT_Density" href="#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)</code></pre><p>Set a pressure and temperature-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 (1.0 - \alpha (T-T_0) + \beta  (P-P_0) )  \]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference temperature <span>$T_0$</span> and pressure <span>$P_0$</span>, <span>$\alpha$</span> is the temperature dependence of density and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Density/Density.jl#L81-L90">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.Compressible_Density" href="#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)</code></pre><p>Set a pressure-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 \exp(β*(P - P\_0))  \]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference pressure <span>$P_0$</span> and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Density/Density.jl#L132-L140">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To evaluate density within a user routine, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density" href="#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_density(P,T, s::PhaseDiagram_LookupTable)</code></pre><p>Interpolates density as a function of <code>T,P</code> from a lookup table  </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Density/Density.jl#L180-L183">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density!" href="#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I&lt;:Integer}</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; MatParam = (SetMaterialParams(Name=&quot;Mantle&quot;, Phase=1,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                        Density   = PT_Density()
+                        ),
+                    SetMaterialParams(Name=&quot;Crust&quot;, Phase=2,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),
+                        Density   = ConstantDensity(ρ=2900kg/m^3))
+                  );
+julia&gt; Phases = ones(Int64,400,400);
+julia&gt; Phases[:,20:end] .= 2
+julia&gt; rho     = zeros(size(Phases))
+julia&gt; T       =  ones(size(Phases))
+julia&gt; P       =  ones(size(Phases))*10
+julia&gt; compute_density!(rho, MatParam, Phases, P, T)
+julia&gt; rho
+400×400 Matrix{Float64}:
+2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮                            
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0</code></pre><p>The routine is made to minimize allocations:</p><pre><code class="language-julia hljs">julia&gt; using BenchmarkTools
+julia&gt; @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)
+    203.468 μs (0 allocations: 0 bytes)</code></pre><p>_____________________________________________________________________________________________________________________________   </p><pre><code class="nohighlight hljs">compute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Density/Density.jl#L209-L273">source</a></section></article><p>Note that density values are usually not used in itself in the governing PDE&#39;s, but usually in combination with other parameters, such as <span>$\rho g$</span> or <span>$\rho c_p$</span>. the non-dimensional value of <span>$\rho$</span> may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../materialparameters/">« Material Parameters</a><a class="docs-footer-nextpage" href="../creeplaws/">Creep laws »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Tuesday 13 September 2022 07:29">Tuesday 13 September 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Elasticity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Elasticity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/elasticity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Elasticity"><a class="docs-heading-anchor" href="#Elasticity">Elasticity</a><a id="Elasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Elasticity" title="Permalink"></a></h1><p>Elasticity is, in geodynamics, often used in combination with viscous and plastic rheology.</p><h1 id="Implemented-laws"><a class="docs-heading-anchor" href="#Implemented-laws">Implemented laws</a><a id="Implemented-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-laws" title="Permalink"></a></h1><p>We provide the following elastic constitutive relationships:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantElasticity(G, ν, K, E)</code></pre><p>Structure that holds parameters for constant, isotropic, linear elasticity.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Elasticity/Elasticity.jl#L18-L22">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetConstantElasticity(; G=nothing, ν=nothing, E=nothing, Kb=nothing)</code></pre><p>This allows setting elastic parameters by specifying 2 out of the 4 elastic parameters <code>G</code> (Elastic shear modulus), <code>ν</code> (Poisson&#39;s ratio), <code>E</code> (Young&#39;s modulus), or <code>Kb</code> (bulk modulus).</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Elasticity/Elasticity.jl#L33-L37">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>We can compute the elastic strainrate with:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_εII</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_εII!</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../creeplaws/">« Creep laws</a><a class="docs-footer-nextpage" href="../plasticity/">Plasticity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Tuesday 13 September 2022 07:29">Tuesday 13 September 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.17/man/geounit/index.html b/v0.3.17/man/geounit/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>GeoUnit · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li class="is-active"><a class="tocitem" href>GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>GeoUnit</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>GeoUnit</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/geounit.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="GeoUnit"><a class="docs-heading-anchor" href="#GeoUnit"><code>GeoUnit</code></a><a id="GeoUnit-1"></a><a class="docs-heading-anchor-permalink" href="#GeoUnit" title="Permalink"></a></h1><p>Most parameters have physical units (100km, 9.81 ms⁻²). Yet, within numerical solvers it is usually not a good idea to compute with the actual SI units as they (at least in geosciences) tend to result in very large/small numbers, which can cause in roundoff errors.  Therefore, we usually convert the dimensional units into non-dimensional ones befeore starting computations. The results can than be converted back to more convenient units for us when we generate the output (plots, for example).</p><p>This requires a wauy to store the dimensions of a parameter, but also, once they are made nondimensional, the original units (otherwise we can&#39;t convert them back to dimensional values).</p><p>For that reason, we use the <code>GeoUnit</code> structure, defined as </p><pre><code class="language-julia hljs">struct GeoUnit{T,U}
+    val          :: T
+    unit         :: U
+    isdimensional:: Bool
+end</code></pre><p>You can define a GeoUnit as:</p><pre><code class="language-julia hljs">julia&gt; a = GeoUnit(100km)
+GeoUnit{dimensional, km}, 
+100.0
+julia&gt; b=GeoUnit(100s)
+GeoUnit{dimensional, s}, 
+100.0</code></pre><p>Dividing the two gives the expected result</p><pre><code class="language-julia hljs">julia&gt; c=a/b
+GeoUnit{dimensional, km s⁻¹·⁰}, 
+1.0</code></pre><p>Can also be a vector:</p><pre><code class="language-julia hljs">julia&gt; T = GeoUnit(100K:10.0K:1000K)
+GeoUnit{dimensional, K}, 
+100.0:10.0:1000.0</code></pre><p>The numerical value is obtained with:</p><pre><code class="language-julia hljs">julia&gt; NumValue(c)
+1.0</code></pre><p>It&#39;s unit with</p><pre><code class="language-julia hljs">julia&gt; Unit(c)
+km s⁻¹·⁰</code></pre><p>and the value with unit with</p><pre><code class="language-julia hljs">julia&gt; Value(c)
+1.0 km s⁻¹·⁰</code></pre><p>If you multiply or divide a <code>GeoUnit</code> with a normal number, we assume that you are no longer interested in the units and you&#39;ll get a Float64:</p><pre><code class="language-julia hljs">julia&gt; c*100
+100.0</code></pre><p>The value of the <code>GeoUnit</code> struct becomes clear once we non-dimensionalize it (as explained in more detail in a separate page). For that, first specify which characteristic values you want to use for non-dimensionalisation: </p><pre><code class="language-julia hljs">julia&gt; CharDim = GEO_units(length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas);</code></pre><p>Let&#39;s define a stress:</p><pre><code class="language-julia hljs">julia&gt; σ=GeoUnit(10MPa)
+GeoUnit{dimensional, MPa}, 
+10.0</code></pre><p>And transfer it to nondimensional units:</p><pre><code class="language-julia hljs">julia&gt; σ_nd = nondimensionalize(σ,CharDim)
+GeoUnit{nondimensional, MPa}, 
+0.9999999999999998</code></pre><p>Instead of 1e7 Pa, we now have 1.0; yet at the same time we know that the original unit of σ_nd was in MPa, which allows to transfer it back to dimensional units:</p><pre><code class="language-julia hljs">julia&gt; dimensionalize(σ_nd,CharDim)
+GeoUnit{dimensional, MPa}, 
+10.0</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../">« Home</a><a class="docs-footer-nextpage" href="../nondimensionalize/">Nondimensionalization »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Tuesday 13 September 2022 07:29">Tuesday 13 September 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.17/man/gravity/index.html b/v0.3.17/man/gravity/index.html
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@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Gravity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li class="is-active"><a class="tocitem" href>Gravity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Gravity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Gravity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/gravity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Gravitational-acceleration"><a class="docs-heading-anchor" href="#Gravitational-acceleration">Gravitational acceleration</a><a id="Gravitational-acceleration-1"></a><a class="docs-heading-anchor-permalink" href="#Gravitational-acceleration" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Gravitational acceleration is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">GravityConstant(g=9.81m/s^2)</code></pre><p>Set a constant value for the gravitational acceleration:</p><p class="math-container">\[    g  = 9.81 m s^{-2}\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/GravitationalAcceleration/GravitationalAcceleration.jl#L18-L25">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a> — <span class="docstring-category">Function</span></header><section><div><p>compute_gravity(s:&lt;AbstractGravity)</p><p>Returns the gravitational acceleration </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/GravitationalAcceleration/GravitationalAcceleration.jl#L59-L64">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../shearheating/">« Shear heating</a><a class="docs-footer-nextpage" href="../melting/">Partial Melting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Tuesday 13 September 2022 07:29">Tuesday 13 September 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.17/man/heatcapacity/index.html b/v0.3.17/man/heatcapacity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Heat Capacity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li class="is-active"><a class="tocitem" href>Heat Capacity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Heat Capacity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Heat Capacity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/heatcapacity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Heat-capacity"><a class="docs-heading-anchor" href="#Heat-capacity">Heat capacity</a><a id="Heat-capacity-1"></a><a class="docs-heading-anchor-permalink" href="#Heat-capacity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Heat capacity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity" href="#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantHeatCapacity(cp=1050J/mol/kg)</code></pre><p>Set a constant heat capacity:</p><p class="math-container">\[    cp  = cst\]</p><p>where <span>$cp$</span> is the thermal heat capacity [<span>$J/kg/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Energy/HeatCapacity.jl#L26-L34">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington" href="#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_HeatCapacity_Whittington()</code></pre><p>Sets a temperature-dependent heat capacity following the parameterization of Whittington et al. (2009), Nature:</p><p class="math-container">\[    Cp = (a + b T - c/T^2)/m \]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/kg/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <code>T</code>:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>molmass =   0.22178kg/mol </li></ul><p>Note that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than <span>$J/mol/K$</span> as in eq.3/4 of the paper)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Energy/HeatCapacity.jl#L59-L77">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">Cp = compute_heatcapacity(s:&lt;AbstractHeatCapacity, P, T)</code></pre><p>Returns the heat capacity <code>Cp</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the heat capacity laws implemented.</p><p>Currently available:</p><ul><li>ConstantHeatCapacity</li><li>T_HeatCapacity_Whittington</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia hljs">julia&gt; T  = (250:100:1250)*K;
+julia&gt; cp = T_HeatCapacity_Whittington()
+julia&gt; Cp = ComputeHeatCapacity(0,T,cp)
+11-element Vector{Unitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:
+  635.4269997294616 J kg⁻¹ K⁻¹
+  850.7470171764261 J kg⁻¹ K⁻¹
+  962.0959598489883 J kg⁻¹ K⁻¹
+ 1037.5420433770641 J kg⁻¹ K⁻¹
+ 1097.3517921966488 J kg⁻¹ K⁻¹
+ 1149.2745563671706 J kg⁻¹ K⁻¹
+ 1157.7915050948404 J kg⁻¹ K⁻¹
+ 1172.3554874197264 J kg⁻¹ K⁻¹
+ 1186.9194697445964 J kg⁻¹ K⁻¹
+  1201.483452069455 J kg⁻¹ K⁻¹
+ 1216.0474343943067 J kg⁻¹ K⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Energy/HeatCapacity.jl#L145-L175">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_heatcapacity!(Cp::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat})</code></pre><p>In-place computation of heat capacity <code>Cp</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Energy/HeatCapacity.jl#L197-L202">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plasticity/">« Plasticity</a><a class="docs-footer-nextpage" href="../conductivity/">Conductivity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Tuesday 13 September 2022 07:29">Tuesday 13 September 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.17/man/latentheat/index.html b/v0.3.17/man/latentheat/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Latent heat · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li class="is-active"><a class="tocitem" href>Latent heat</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Latent heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Latent heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/latentheat.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Latent-heat"><a class="docs-heading-anchor" href="#Latent-heat">Latent heat</a><a id="Latent-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Latent-heat" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Latent heat (of crystallisation) is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat" href="#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantLatentHeat(Q_L=400kJ/kg)</code></pre><p>Set a constant latent heat:</p><p class="math-container">\[    Q_L  = cst\]</p><p>where <span>$Q_L$</span> is the latent heat [<span>$kJ/kg$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Energy/LatentHeat.jl#L23-L31">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.LatentHeat.compute_latent_heat</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../conductivity/">« Conductivity</a><a class="docs-footer-nextpage" href="../radioactiveheating/">Radioactive heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Tuesday 13 September 2022 07:29">Tuesday 13 September 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.17/man/listfunctions/index.html b/v0.3.17/man/listfunctions/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>List of functions · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a 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class="is-active"><a href>List of functions</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>List of functions</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/listfunctions.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="List-of-all-functions"><a class="docs-heading-anchor" href="#List-of-all-functions">List of all functions</a><a id="List-of-all-functions-1"></a><a class="docs-heading-anchor-permalink" href="#List-of-all-functions" title="Permalink"></a></h1><p>This page details the some of the guidelines that should be followed when contributing to this package.</p><ul><li><a href="../nondimensionalize/#GeoParams.Units"><code>GeoParams.Units</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington</code></a></li><li><a href="../latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a></li><li><a href="../phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_4thOrder"><code>GeoParams.MeltingParam.MeltingParam_4thOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_5thOrder"><code>GeoParams.MeltingParam.MeltingParam_5thOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Assimilation"><code>GeoParams.MeltingParam.MeltingParam_Assimilation</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Quadratic"><code>GeoParams.MeltingParam.MeltingParam_Quadratic</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.SmoothMelting"><code>GeoParams.MeltingParam.SmoothMelting</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.TASclassificationData"><code>GeoParams.TASclassification.TASclassificationData</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.ZirconAgeData"><code>GeoParams.ZirconAges.ZirconAgeData</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_dϕdT"><code>GeoParams.MeltingParam.compute_dϕdT</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_dϕdT!"><code>GeoParams.MeltingParam.compute_dϕdT!</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a></li><li><a href="../phasediagrams/#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.computeTASclassification"><code>GeoParams.TASclassification.computeTASclassification</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.retrieveTASrockType"><code>GeoParams.TASclassification.retrieveTASrockType</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.compute_zircon_age_PDF"><code>GeoParams.ZirconAges.compute_zircon_age_PDF</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.compute_zircons_Ttpath"><code>GeoParams.ZirconAges.compute_zircons_Ttpath</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.zircon_age_PDF"><code>GeoParams.ZirconAges.zircon_age_PDF</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a></li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plotting/">« Plotting</a><a class="docs-footer-nextpage" href="../contributing/">Contributing »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option 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Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.17/man/materialparameters/index.html b/v0.3.17/man/materialparameters/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Material Parameters · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li class="is-active"><a class="tocitem" href>Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Material Parameters</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Material Parameters</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/materialparameters.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="MaterialParameters"><a class="docs-heading-anchor" href="#MaterialParameters">MaterialParameters</a><a id="MaterialParameters-1"></a><a class="docs-heading-anchor-permalink" href="#MaterialParameters" title="Permalink"></a></h1><p>Material properties for a given phase can be set with <code>SetMaterialParams</code>, whereas all properties are  stored in the <code>MaterialParams</code> structure. Information about the material parameter is found at <code>MaterialParamsInfo</code>. This can be employed </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParamsInfo" href="#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MaterialParamsInfo</code></pre><p>Structure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.</p><p>Usually used in combination with <code>param_info(the_parameter_of_interest)</code></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/MaterialParameters.jl#L21-L29">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SetMaterialParams" href="#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetMaterialParams(; Name::String=&quot;&quot;, Phase::Int64=1,
+                    Density             =   nothing, 
+                    Gravity             =   nothing,
+                    CreepLaws           =   nothing, 
+                    Elasticity          =   nothing, 
+                    Plasticity          =   nothing, 
+                    Conductivity        =   nothing, 
+                    HeatCapacity        =   nothing, 
+                    RadioactiveHeat     =   nothing,
+                    LatentHeat          =   nothing,
+                    ShearHeat           =   nothing,
+                    Melting             =   nothing,
+                    SeismicVelocity     =   nothing,
+                    CharDim::GeoUnits   =   nothing)</code></pre><p>Sets material parameters for a given phase. </p><p>If <code>CharDim</code> is specified the input parameters are non-dimensionalized.   Note that if <code>Density</code> is specified, we also set <code>Gravity</code> even if not explicitly listed</p><p><strong>Examples</strong></p><p>Define two viscous creep laws &amp; constant density:</p><pre><code class="language-julia-repl hljs">julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;,
+                       Density   = ConstantDensity(),
+                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))
+Phase 1 : Viscous Matrix
+        | [dimensional units]
+        | 
+        |-- Density           : Constant density: ρ=2900 kg m⁻³ 
+        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  
+        |                       Linear viscosity: η=1.0e21 Pa s</code></pre><p>Define two viscous creep laws &amp; P/T dependent density and nondimensionalize</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);
+julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;, Phase=33,
+                              Density   = PT_Density(),
+                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),
+                              CharDim   = CharUnits_GEO)
+Phase 33: Viscous Matrix
+        | [non-dimensional units]
+        | 
+        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0 
+        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18 
+        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001  
+        |                       Linear viscosity: η=10000.0 </code></pre><p>You can also create an array that holds several parameters:</p><pre><code class="language-julia-repl hljs">julia&gt; MatParam        =   Array{MaterialParams, 1}(undef, 2);
+julia&gt; Phase           =   1;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Upper Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                            Density  = ConstantDensity(ρ=2900kg/m^3));
+julia&gt; Phase           =   2;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Lower Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),
+                            Density  = PT_Density(ρ0=3000kg/m^3));
+julia&gt; MatParam
+2-element Vector{MaterialParams}:
+ Phase 1 : Upper Crust
+    | [dimensional units]
+    | 
+    |-- Density           : Constant density: ρ=2900 kg m⁻³ 
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  
+    |                       Linear viscosity: η=1.0e23 Pa s 
+                            
+ Phase 2 : Lower Crust
+    | [dimensional units]
+    | 
+    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa 
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹  
+    |                       Linear viscosity: η=1.0e21 Pa s </code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/MaterialParameters.jl#L91-L175">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParams" href="#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MaterialParams</code></pre><p>Structure that holds all material parameters for a given phase</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/MaterialParameters.jl#L53-L58">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../nondimensionalize/">« Nondimensionalization</a><a class="docs-footer-nextpage" href="../density/">Density »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Tuesday 13 September 2022 07:29">Tuesday 13 September 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Partial Melting</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Partial Melting</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/melting.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Melting-Parameterizations"><a class="docs-heading-anchor" href="#Melting-Parameterizations">Melting Parameterizations</a><a id="Melting-Parameterizations-1"></a><a class="docs-heading-anchor-permalink" href="#Melting-Parameterizations" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>A number of melting parameterisations are implemented, which can be set with:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Caricchi" href="#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Caricchi()</code></pre><p>Implements the T-dependent melting parameterisation used by Caricchi, Simpson et al. (as for example described in Simpson) </p><p class="math-container">\[    \theta = {(a - (T + c)) \over b} \]</p><p class="math-container">\[    \phi_{melt} = {1.0 \over (1.0 + e^\theta)}\]</p><p>Note that T is in Kelvin. As default parameters we employ:</p><p class="math-container">\[b=23K,  a=800K , c=273.15K\]</p><p>Which gives a reasonable fit to experimental data of granodioritic composition (Piwinskii and Wyllie, 1968):</p><p><img src="../assets/img/MeltingParam_Caricchi.png" alt="MeltParam_Carrichi"/></p><p><strong>References</strong></p><ul><li>Simpson G. (2017) Practical finite element modelling in Earth Sciences Using MATLAB.</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/MeltFraction/MeltingParameterization.jl#L32-L54">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_5thOrder" href="#GeoParams.MeltingParam.MeltingParam_5thOrder"><code>GeoParams.MeltingParam.MeltingParam_5thOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_5thOrder(a,b,c,d,e,f,T_s,T_l)</code></pre><p>Uses a 5th order polynomial to describe the melt fraction <code>phi</code> between solidus temperature <code>T_s</code> and liquidus temperature <code>T_l</code></p><p class="math-container">\[    \phi = a T^5 + b T^4 + c T^3 + d T^2 + e T + f  \textrm{   for   } T_s ≤ T ≤ T_l\]</p><p class="math-container">\[    \phi = 1  \textrm{   if   } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0  \textrm{   if   } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_5thorder.png" alt="MeltingParam_5thOrder"/></p><p>The default values are for a composite liquid-line-of-descent:</p><ul><li>the upper part is for Andesite from: (Blatter, D. L. &amp; Carmichael, I. S. (2001) Hydrous phase equilibria of a Mexican highsilica andesite: a candidate for a mantle origin? Geochim. Cosmochim. Acta 65, 4043–4065</li><li>the lower part is extrapolated to the granitic minimum using the Marxer &amp; Ulmer LLD for Andesite (Marxer, F. &amp; Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. <em>Contributions Mineral. Petrol.</em> 174, 84)</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/MeltFraction/MeltingParameterization.jl#L106-L127">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_4thOrder" href="#GeoParams.MeltingParam.MeltingParam_4thOrder"><code>GeoParams.MeltingParam.MeltingParam_4thOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_4thOrder(b,c,d,e,f,T_s,T_l)</code></pre><p>Uses a 4th order polynomial to describe the melt fraction <code>phi</code> between solidus temperature <code>T_s</code> and liquidus temperature <code>T_l</code></p><p class="math-container">\[    \phi = b T^4 + c T^3 + d T^2 + e T + f  \textrm{   for   } T_s ≤ T ≤ T_l\]</p><p class="math-container">\[    \phi = 1 \textrm{   if   } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0  \textrm{   if   } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_4thorder.png" alt="MeltingParam_4thOrder"/></p><p>The default values are for Tonalite experiments from Marxer and Ulmer (2019):</p><ul><li>Marxer, F. &amp; Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. <em>Contributions Mineral. Petrol.</em> 174, 84</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/MeltFraction/MeltingParameterization.jl#L191-L211">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Quadratic" href="#GeoParams.MeltingParam.MeltingParam_Quadratic"><code>GeoParams.MeltingParam.MeltingParam_Quadratic</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Quadratic(T_s,T_l)</code></pre><p>Quadratic melt fraction parameterisation where melt fraction <span>$\phi$</span> depends only on solidus (<span>$T_s$</span>) and liquidus (<span>$T_l$</span>) temperature:</p><p class="math-container">\[    \phi = 1.0 - \left( {T_l - T} \over {T_l - T_s} \right)^2\]</p><p class="math-container">\[    \phi = 1.0 \textrm{ if } T&gt;T_l \]</p><p class="math-container">\[    \phi = 0.0 \textrm{ if } T&lt;T_s \]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_Quadratic.png" alt="MeltingParam_Quadratic"/></p><p>This was used, among others, in Tierney et al. (2016) Geology</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/MeltFraction/MeltingParameterization.jl#L282-L301">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Assimilation" href="#GeoParams.MeltingParam.MeltingParam_Assimilation"><code>GeoParams.MeltingParam.MeltingParam_Assimilation</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Assimilation(T_s,T_l,a)</code></pre><p>Melt fraction parameterisation that takes the assimilation of crustal host rocks into account, as used by Tierney et al. (2016) based upon a parameterisation of Spera and Bohrson (2001)</p><p>Here, the fraction of molten and assimilated host rocks <span>$\phi$</span> depends on the solidus (<span>$T_s$</span>) and liquidus (<span>$T_l$</span>) temperatures of the rocks, as well as on a parameter <span>$a=0.005$</span></p><p class="math-container">\[    X = \left( {T - T_s} \over {T_l - T_s} \right)\]</p><p class="math-container">\[    \phi = a \cdot \left( \exp^{2ln(100)X} - 1.0 \right) \textrm{ if } X ≤ 0.5\]</p><p class="math-container">\[    \phi = 1- a \cdot \exp^{2ln(100)(1-X)}  \textrm{ if } X &gt; 0.5\]</p><p class="math-container">\[    \phi = 1.0 \textrm{ if } T&gt;T_l \]</p><p class="math-container">\[    \phi = 0.0 \textrm{ if } T&lt;T_s \]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_Assimilation.png" alt="MeltingParam_Assimilation"/></p><p>This was used, among others, in Tierney et al. (2016), who employed as default parameters:</p><p class="math-container">\[   T_s=973.15, T_l=1173.15, a=0.005\]</p><p><strong>References</strong></p><ul><li>Spera, F.J., and Bohrson, W.A., 2001, Energy-Constrained Open-System Magmatic Processes I: General Model and Energy-Constrained Assimilation and Fractional Crystallization (EC- AFC) Formulation: Journal of Petrology, v. 42, p. 999–1018.</li><li>Tierney, C.R., Schmitt, A.K., Lovera, O.M., de Silva, S.L., 2016. Voluminous plutonism during volcanic quiescence revealed by thermochemical modeling of zircon. Geology 44, 683–686. https://doi.org/10.1130/G37968.1</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/MeltFraction/MeltingParameterization.jl#L356-L391">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.SmoothMelting" href="#GeoParams.MeltingParam.SmoothMelting"><code>GeoParams.MeltingParam.SmoothMelting</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">SmoothMelting(; p=MeltingParam_4thOrder(), k_sol=0.2/K,  k_liq=0.2/K)</code></pre><p>This smoothens the melting parameterisation <span>$p$</span> around the solidus <span>$T_{sol}$</span> and liquidus <span>$T_{liq}$</span> using a smoothened Heaviside step functions for the solidus:</p><p class="math-container">\[    H_{sol} =  {1.0 \over { 1 + \exp( -2 k_{sol} (T - T_{sol} - {2 \over k_{sol}}) )  }}\]</p><p>and liquidus:        </p><p class="math-container">\[    H_{liq} =  1.0 - {1.0 \over { 1 + \exp( -2 k_{liq} (T - T_{liq} + {2 \over k_{liq}}) )  }}\]</p><p>The resulting melt fraction <span>$\phi$</span> is computed from the original melt fraction <span>$\phi_0$</span> (computed using one of the methods above) as:</p><p class="math-container">\[    \phi =  \phi_0 H_{sol} H_{liq} + 1.0 - H_{liq}\]</p><p>The width of the smoothening zones is controlled by <span>$k_{sol}, k_{liq}$</span> (larger values = sharper boundary).</p><p>This is important, as jumps in the derivative <span>$dϕ/dT$</span> can cause numerical instabilities in latent heat computations, which is prevented with this smoothening.</p><p><strong>Example</strong></p><p>Let&#39;s consider a 4th order parameterisation:</p><pre><code class="language-julia hljs">julia&gt; using GeoParams, Plots
+julia&gt; p = MeltingParam_4thOrder();
+julia&gt; T= collect(650.0:1:1050.) .+ 273.15;
+julia&gt; T,phi,dϕdT =  PlotMeltFraction(p,T=T);</code></pre><p>The same but with smoothening:</p><pre><code class="language-julia hljs">julia&gt; p_s = SmoothMelting(p=MeltingParam_4thOrder(), k_liq=0.21/K);
+4th order polynomial melting curve: phi = -7.594512597174117e-10T^4 + 3.469192091489447e-6T^3 + -0.00592352980926T^2 + 4.482855645604745T + -1268.730161921053  963.15 K ≤ T ≤ 1270.15 K with smooth Heaviside function smoothening using k_sol=0.1 K⁻¹·⁰, k_liq=0.11 K⁻¹·⁰
+julia&gt; T_s,phi_s,dϕdT_s =  PlotMeltFraction(p_s,T=T);</code></pre><p>We can create plots of this with:</p><pre><code class="language-julia hljs">julia&gt; plt1 = plot(T.-273.15, phi, ylabel=&quot;Melt Fraction ϕ&quot;, color=:red, label=&quot;original&quot;, xlabel=&quot;Temperature [C]&quot;)
+julia&gt; plt1 = plot(plt1, T.-273.15, phi_s,  color=:black, label=&quot;smoothened&quot;, legend=:bottomright)
+julia&gt; plt2 = plot(T.-273.15, dϕdT, ylabel=&quot;dϕ/dT&quot;, color=:red, label=&quot;original&quot;, xlabel=&quot;Temperature [C]&quot;)
+julia&gt; plt2 = plot(plt2, T.-273.15, dϕdT_s,  color=:black, label=&quot;smoothened&quot;, legend=:topright)
+julia&gt; plot!(plt1,plt2,   xlabel=&quot;Temperature [C]&quot;, layout=(2,1))</code></pre><p>The derivative no longer has a jump now:</p><p><img src="../assets/img/MeltingParam_Smooth.png" alt="MeltingParam_Smooth"/></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/MeltFraction/MeltingParameterization.jl#L474-L525">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute the melt fraction at given <code>T</code> and <code>P</code>, use:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction!" href="#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_meltfraction!(ϕ::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T:AbstractArray{&lt;:AbstractFloat}, p::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/MeltFraction/MeltingParameterization.jl#L622-L626">source</a></section><section><div><pre><code class="nohighlight hljs">compute_meltfraction(ϕ::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/MeltFraction/MeltingParameterization.jl#L709-L713">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction" href="#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_meltfraction(P,T, p::AbstractPhaseDiagramsStruct)</code></pre><p>Computes melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/MeltFraction/MeltingParameterization.jl#L610-L614">source</a></section><section><div><pre><code class="nohighlight hljs">ϕ = compute_meltfraction(Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/MeltFraction/MeltingParameterization.jl#L702-L706">source</a></section></article><p>You can also obtain the derivative of melt fraction versus temperature with (useful to compute latent heat effects):</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_dϕdT!" href="#GeoParams.MeltingParam.compute_dϕdT!"><code>GeoParams.MeltingParam.compute_dϕdT!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_dϕdT!(ϕ::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computates the derivative of melt fraction <code>ϕ</code> versus temperature <code>T</code>, <span>${\partial \phi} \over {\partial T}$</span> for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This is employed, for example, in computing latent heat terms in an implicit manner.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/MeltFraction/MeltingParameterization.jl#L724-L729">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_dϕdT" href="#GeoParams.MeltingParam.compute_dϕdT"><code>GeoParams.MeltingParam.compute_dϕdT</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_dϕdT(P,T, p::AbstractPhaseDiagramsStruct)</code></pre><p>Computes derivative of melt fraction vs T in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified. The derivative is computed by finite differencing.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/MeltFraction/MeltingParameterization.jl#L629-L634">source</a></section><section><div><pre><code class="nohighlight hljs">ϕ = compute_dϕdT(Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computates the derivative of melt fraction ϕ versus temperature <code>T</code> for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This is employed in computing latent heat terms in an implicit manner, for example</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/MeltFraction/MeltingParameterization.jl#L716-L721">source</a></section></article><p>Also note that phase diagrams can be imported using <code>PerpleX_LaMEM_Diagram</code>, which may also have melt content information.  The computational routines work with that as well.</p><h1 id="Plotting-routines"><a class="docs-heading-anchor" href="#Plotting-routines">Plotting routines</a><a id="Plotting-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting-routines" title="Permalink"></a></h1><p>You can use the routine <code>PlotMeltFraction</code> to create a plot, provided that the <code>Plots</code> package has been loaded</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotMeltFraction</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../gravity/">« Gravity</a><a class="docs-footer-nextpage" href="../TASclassification/">TAS classification »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Tuesday 13 September 2022 07:29">Tuesday 13 September 2022</span>. 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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Nondimensionalization · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li class="is-active"><a class="tocitem" href>Nondimensionalization</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Specify-characteristic-values"><span>Specify characteristic values</span></a></li><li class="toplevel"><a class="tocitem" href="#(Non)-dimensionalize-parameters"><span>(Non)-dimensionalize parameters</span></a></li></ul></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Nondimensionalization</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Nondimensionalization</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/nondimensionalize.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Nondimensionalization"><a class="docs-heading-anchor" href="#Nondimensionalization">Nondimensionalization</a><a id="Nondimensionalization-1"></a><a class="docs-heading-anchor-permalink" href="#Nondimensionalization" title="Permalink"></a></h1><p>Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between <code>GEO</code>, <code>SI</code> or <code>NO</code> units:</p><ul><li><code>SI</code> units assume all input and output is in <code>SI</code> units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).</li><li><code>GEO</code> units uses <code>SI</code> units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as <code>Myrs</code>,<code>km</code> or <code>MPa</code></li><li><code>NO</code> units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that <code>velocity</code> is given in <code>m/s</code>).</li></ul><p>A dimensional parameter can be transformed into a non-dimensional one with <code>nondimensionalize</code>.</p><h1 id="Specify-characteristic-values"><a class="docs-heading-anchor" href="#Specify-characteristic-values">Specify characteristic values</a><a id="Specify-characteristic-values-1"></a><a class="docs-heading-anchor-permalink" href="#Specify-characteristic-values" title="Permalink"></a></h1><p>Characteristic values can be defined in 3 ways.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units" href="#GeoParams.Units"><code>GeoParams.Units</code></a> — <span class="docstring-category">Module</span></header><section><div><pre><code class="language-julia hljs">This provides units and creates a non-dimensionalization object</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Units.jl#L1-L3">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.AbstractGeoUnit" href="#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><p>AbstractGeoUnit</p><p>Abstract supertype for geo units.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Units.jl#L95-L99">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnit" href="#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.
+
+Having that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.
+With the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Units.jl#L109-L116">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnits" href="#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">GeoUnits
+
+Structure that holds parameters used for non-dimensionalization</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Units.jl#L272-L276">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GEO_units" href="#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)</code></pre><p>Creates a non-dimensionalization object using GEO units.</p><p>GEO units implies that upon dimensionalization, <code>time</code> will be in <code>Myrs</code>, <code>length</code> in <code>km</code>, stress in <code>MPa</code>, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (<code>km</code> or <code>m</code>), provided the unit is specified.</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = GEO_units()
+Employing GEO units 
+Characteristic values: 
+         length:      1000 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C
+julia&gt; CharUnits.velocity
+1.0e-7 m s⁻¹</code></pre><p>If we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic <code>length</code>:</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = GEO_units(length=10km)
+Employing GEO units 
+Characteristic values: 
+         length:      10 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Units.jl#L324-L355">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.SI_units" href="#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)</code></pre><p>Specify the characteristic values using SI units </p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = SI_units(length=1000m)
+Employing SI units 
+Characteristic values: 
+         length:      1000 m
+         time:        1.0e19 s
+         stress:      10 Pa
+         temperature: 1000.0 K</code></pre><p>Note that the same can be achieved if the input is given in <code>km</code>:</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = SI_units(length=1km)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Units.jl#L394-L413">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.NO_units" href="#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)</code></pre><p>Specify the characteristic values in non-dimensional units</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GeoParams;
+julia&gt; CharUnits = NO_units()
+Employing NONE units 
+Characteristic values: 
+         length:      1
+         time:        1.0 
+         stress:      1
+         temperature: 1.0</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Units.jl#L452-L468">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_val" href="#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia hljs">This unpacks the numerical value of `GeoUnit` in a structure, without the units.
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_val ρ,α = r
+julia&gt; α
+4.0e-5
+julia&gt; typeof(α)
+Float64</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/unpack.jl#L4-L23">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_units" href="#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia hljs">This unpacks the numerical value with units of `GeoUnit` parameters in a structure
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_units ρ,α = r
+julia&gt; α
+4.0e-5 K⁻¹·⁰
+julia&gt; typeof(α)
+Quantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/unpack.jl#L46-L65">source</a></section></article><h1 id="(Non)-dimensionalize-parameters"><a class="docs-heading-anchor" href="#(Non)-dimensionalize-parameters">(Non)-dimensionalize parameters</a><a id="(Non)-dimensionalize-parameters-1"></a><a class="docs-heading-anchor-permalink" href="#(Non)-dimensionalize-parameters" title="Permalink"></a></h1><p>Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.nondimensionalize" href="#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">nondimensionalize(param, CharUnits::GeoUnits{TYPE})</code></pre><p>Nondimensionalizes <code>param</code> using the characteristic values specified in <code>CharUnits</code></p><p><strong>Example 1</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GeoParams;
+julia&gt; CharUnits =   GEO_units();
+julia&gt; v         =   3cm/yr
+3 cm yr⁻¹ 
+julia&gt; v_ND      =   nondimensionalize(v, CharUnits) 
+0.009506426344208684</code></pre><p><strong>Example 2</strong></p><p>In geodynamics one sometimes encounters more funky units</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits =   GEO_units();
+julia&gt; A         =   6.3e-2MPa^-3.05*s^-1
+0.063 MPa⁻³·⁰⁵ s⁻¹
+julia&gt; A_ND      =   nondimensionalize(A, CharUnits) 
+7.068716262102384e14</code></pre><p>In case you are interested to see how the units of <code>A</code> look like in different units, use this function from the <a href="https://github.com/PainterQubits/Unitful.jl">Unitful</a> package:</p><pre><code class="language-julia-repl hljs">julia&gt; uconvert(u&quot;Pa^-3.05*s^-1&quot;,A) 
+3.157479571851836e-20 Pa⁻³·⁰⁵</code></pre><p>and to see it decomposed in the basic <code>SI</code> units of length, mass and time:</p><pre><code class="language-julia-repl hljs">julia&gt; upreferred(A)
+3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Units.jl#L502-L536">source</a></section><section><div><pre><code class="nohighlight hljs">MatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Non-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Units.jl#L590-L595">source</a></section><section><div><pre><code class="nohighlight hljs">nondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>nondimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Units.jl#L616-L620">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.dimensionalize" href="#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes <code>param</code> into the dimensions <code>param_dim</code> using the characteristic values specified in <code>CharUnits</code>.  </p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits =   GEO_units();
+julia&gt; v_ND      =   nondimensionalize(3cm/yr, CharUnits) 
+0.031688087814028945
+julia&gt; v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) 
+3.0 cm yr⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Units.jl#L654-L668">source</a></section><section><div><pre><code class="nohighlight hljs">dimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Units.jl#L690-L695">source</a></section><section><div><pre><code class="nohighlight hljs">Dimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>Dimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Units.jl#L715-L719">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.isDimensional" href="#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">isDimensional(MatParam::AbstractMaterialParam)</code></pre><p><code>true</code> if MatParam is in dimensional units.    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Units.jl#L740-L744">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../geounit/">« GeoUnit</a><a class="docs-footer-nextpage" href="../materialparameters/">Material Parameters »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Tuesday 13 September 2022 07:29">Tuesday 13 September 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.17/man/phasediagrams/index.html b/v0.3.17/man/phasediagrams/index.html
new file mode 100644
index 000000000..57c78d430
--- /dev/null
+++ b/v0.3.17/man/phasediagrams/index.html
@@ -0,0 +1,12 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Phase Diagrams · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li class="is-active"><a class="tocitem" href>Phase Diagrams</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Perple_X"><span>Perple_X</span></a></li></ul></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Phase Diagrams</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Phase Diagrams</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/phasediagrams.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Phase-Diagrams"><a class="docs-heading-anchor" href="#Phase-Diagrams">Phase Diagrams</a><a id="Phase-Diagrams-1"></a><a class="docs-heading-anchor-permalink" href="#Phase-Diagrams" title="Permalink"></a></h1><p>It is possible to employ phase diagrams as lookup tables, which can be used to compute density, melt fraction or seismic properties, for example. </p><h1 id="Perple_X"><a class="docs-heading-anchor" href="#Perple_X">Perple_X</a><a id="Perple_X-1"></a><a class="docs-heading-anchor-permalink" href="#Perple_X" title="Permalink"></a></h1><p>A popular way to compute phase diagrams (pseudosections) for a given (fixed) chemical composition as a function of pressure and temperature is by using <a href="https://www.perplex.ethz.ch">Perple_X</a>. Once a stable assemblage is computed, through Gibbs energy minimisation, it allows you to output a large number of properties such as density, melt fraction or seismic velocities.</p><p>Within GeoParams, we can import this diagram (provided it is formatted in the same manner as <code>LaMEM</code> expects <code>Perple_X</code> input to be).</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PerpleX_LaMEM_Diagram" href="#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">PD_Data = PerpleX_LaMEM_Diagram(fname::String; CharDim = nothing)</code></pre><p>Reads a precomputed phase diagram in the <code>LaMEM/Perple_X</code> format (which is a phase diagram computed using <code>Perple_X</code>, but formatted in a manner that is readable using LaMEM). The data is stored in the <code>PhaseDiagram_LookupTable</code> structure.</p><p>If the <code>CharDim</code> object is specified, the values of all diagrams will be non-dimensionalized.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; PD_Data = PerpleX_LaMEM_Diagram(&quot;./test_data/Peridotite.in&quot;)
+Perple_X/LaMEM Phase Diagram Lookup Table: 
+                      File    :   ./test_data/Peridotite.in
+                      T       :   293.0 - 1573.000039
+                      P       :   1.0e7 - 2.9999999944e9
+                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp
+                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs
+                                  :Vp, :Vs, :VpVs</code></pre><p>Once imported, the properties on the diagram can be interpolated in a simple manner:</p><pre><code class="nohighlight hljs">julia&gt; PD_Data.Rho(1500,1e7)
+3042.836820256982</code></pre><p>This also works for vectors or arrays:</p><pre><code class="language-julia hljs">julia&gt; T = [1500 1800; 1233 1300]
+julia&gt; P = [1e8 1e9; 1e7 1e7]
+julia&gt; rho = PD_Data.Rho.(T,P)</code></pre><p>(Note the dot <code>.</code> in front of the bracket while evaluating arrays).</p><p>The fields that are available depend on what is listed in the diagram file.  The units of the fields are automatically evaluated, and employed to non-dimensionalize the parameters if <code>CharDim</code> is specified. </p><p><strong>Algorithm</strong></p><p>Internally, we employ linear interpolation, as provided by the <a href="https://github.com/JuliaMath/Interpolations.jl">Interpolations.jl</a> package. Values outside the range of the diagram are set to the boundary of the diagram. The interpolation object is directly encoded in the <code>PhaseDiagram_LookupTable</code>` object.  </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/PhaseDiagrams/PhaseDiagrams.jl#L44-L85">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable" href="#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Contains data of a Phase Diagram that is regularly spaced in P &amp; T</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/PhaseDiagrams/PhaseDiagrams.jl#L14-L16">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../zirconages/">« Zircon Ages</a><a class="docs-footer-nextpage" href="../seismicvelocity/">Seismic Velocity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Tuesday 13 September 2022 07:29">Tuesday 13 September 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.17/man/plasticity/index.html b/v0.3.17/man/plasticity/index.html
new file mode 100644
index 000000000..17b1f3ec4
--- /dev/null
+++ b/v0.3.17/man/plasticity/index.html
@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Plasticity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li class="is-active"><a class="tocitem" href>Plasticity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Implemented-laws"><span>Implemented  laws</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Plasticity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Plasticity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/plasticity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Plasticity"><a class="docs-heading-anchor" href="#Plasticity">Plasticity</a><a id="Plasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Plasticity" title="Permalink"></a></h1><p>Plasticity is a non;linear rheology bthat is actrivated once stresses exceed a certain yield criteria.</p><h1 id="Implemented-laws"><a class="docs-heading-anchor" href="#Implemented-laws">Implemented  laws</a><a id="Implemented-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-laws" title="Permalink"></a></h1><p>The following plastic law are implemented:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.Plasticity.DruckerPrager</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>Once a plastic rheology is defined, we can use the following routines to perform computations within the solvers</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.Plasticity.compute_yieldfunction</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.Plasticity.compute_yieldfunction!</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../elasticity/">« Elasticity</a><a class="docs-footer-nextpage" href="../heatcapacity/">Heat Capacity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Tuesday 13 September 2022 07:29">Tuesday 13 September 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.17/man/plotting/index.html b/v0.3.17/man/plotting/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Plotting · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li class="is-active"><a class="tocitem" href>Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Plotting</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Plotting</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/plotting.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Plotting"><a class="docs-heading-anchor" href="#Plotting">Plotting</a><a id="Plotting-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting" title="Permalink"></a></h1><p>We provide a number of plotting routines. Note that these plotting routines only become available once the <code>Plots</code> package is loaded.</p><h3 id="Plot-CreepLaws"><a class="docs-heading-anchor" href="#Plot-CreepLaws">Plot CreepLaws</a><a id="Plot-CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#Plot-CreepLaws" title="Permalink"></a></h3><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotStressStrainrate_CreepLaw</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotHeatCapacity</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotConductivity</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotMeltFraction</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotPhaseDiagram</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../seismicvelocity/">« Seismic Velocity</a><a class="docs-footer-nextpage" href="../listfunctions/">List of functions »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Tuesday 13 September 2022 07:29">Tuesday 13 September 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.17/man/radioactiveheating/index.html b/v0.3.17/man/radioactiveheating/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Radioactive heat · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li class="is-active"><a class="tocitem" href>Radioactive heat</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Radioactive heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Radioactive heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/radioactiveheating.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Radioactive-heat"><a class="docs-heading-anchor" href="#Radioactive-heat">Radioactive heat</a><a id="Radioactive-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Radioactive-heat" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Radioactive heat sources are defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat" href="#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)</code></pre><p>Set a constant radioactive heat:</p><p class="math-container">\[    H_r  = cst\]</p><p>where <span>$H_r$</span> is the radioactive heat source [<span>$Watt/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Energy/RadioactiveHeat.jl#L24-L32">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat" href="#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ExpDepthDependent(H_0=1e-6Watt/m^3, h_r=10e3m, z_0=0m)</code></pre><p>Sets an exponential depth-dependent radioactive </p><p class="math-container">\[    H_r  = H_0 \exp \left( {- {(z - z_0) \over h_r}} \right)\]</p><p>where <span>$H_0$</span> is the radioactive heat source [<span>$Watt/m^3$</span>] at <span>$z=z_0$</span> which decays with depth over a characteristic distance <span>$h_r$</span>.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Energy/RadioactiveHeat.jl#L64-L72">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat!</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../latentheat/">« Latent heat</a><a class="docs-footer-nextpage" href="../shearheating/">Shear heating »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Tuesday 13 September 2022 07:29">Tuesday 13 September 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.17/man/seismicvelocity/index.html b/v0.3.17/man/seismicvelocity/index.html
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+++ b/v0.3.17/man/seismicvelocity/index.html
@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Seismic Velocity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li class="is-active"><a class="tocitem" href>Seismic Velocity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-velocity-correction-for-partial-melt"><span>Seismic velocity correction for partial melt</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-2"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-2"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity"><span>Seismic S-wave velocity correction for (shallow depth) porosity</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-3"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-3"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-velocity-correction-for-anelasticity"><span>Seismic velocity correction for anelasticity</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-4"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-4"><span>Computational routines</span></a></li></ul></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Seismic Velocity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Seismic Velocity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/seismicvelocity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Seismic-velocity"><a class="docs-heading-anchor" href="#Seismic-velocity">Seismic velocity</a><a id="Seismic-velocity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Seismic velocity can specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity" href="#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)</code></pre><p>Set a constant seismic P and S-wave velocity:</p><p class="math-container">\[    V_p = cst\]</p><p class="math-container">\[    V_s = cst\]</p><p>where <span>$V_p, V_s$</span> are the P-wave and S-wave velocities [<span>$km/s$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/SeismicVelocity/SeismicVelocity.jl#L35-L46">source</a></section></article><p>In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.</p><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To evaluate seismic velocity within a user routine, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_swave_velocity!</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_pwave_velocity!</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_pwave_velocity</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_swave_velocity</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-velocity-correction-for-partial-melt"><a class="docs-heading-anchor" href="#Seismic-velocity-correction-for-partial-melt">Seismic velocity correction for partial melt</a><a id="Seismic-velocity-correction-for-partial-melt-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity-correction-for-partial-melt" title="Permalink"></a></h1><h1 id="Methods-2"><a class="docs-heading-anchor" href="#Methods-2">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-2" title="Permalink"></a></h1><p>The routine uses the reduction formulation of Clark et al., (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.</p><h1 id="Computational-routines-2"><a class="docs-heading-anchor" href="#Computational-routines-2">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-2" title="Permalink"></a></h1><p>To compute melt-content based correction for seismic waves velocities, you can use:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.melt_correction</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity"><a class="docs-heading-anchor" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity">Seismic S-wave velocity correction for (shallow depth) porosity</a><a id="Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity" title="Permalink"></a></h1><h1 id="Methods-3"><a class="docs-heading-anchor" href="#Methods-3">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-3" title="Permalink"></a></h1><p>Ths routine is based on the equilibrium geometry model for the solid skeleton of Takei et al. (1998) and the porosity-depth empirical relationship of Chen et al. (2020)</p><h1 id="Computational-routines-3"><a class="docs-heading-anchor" href="#Computational-routines-3">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-3" title="Permalink"></a></h1><p>To compute porosity based correction for seismic S-wave velocity, you can use:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.porosity_correction</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-velocity-correction-for-anelasticity"><a class="docs-heading-anchor" href="#Seismic-velocity-correction-for-anelasticity">Seismic velocity correction for anelasticity</a><a id="Seismic-velocity-correction-for-anelasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity-correction-for-anelasticity" title="Permalink"></a></h1><h1 id="Methods-4"><a class="docs-heading-anchor" href="#Methods-4">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-4" title="Permalink"></a></h1><p>The routine uses the reduction formulation of karato (1993), using the quality factor formulation from Behn et al. (2009)</p><h1 id="Computational-routines-4"><a class="docs-heading-anchor" href="#Computational-routines-4">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-4" title="Permalink"></a></h1><p>To compute a correction of S-wave velocity for anelasticity, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction" href="#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">    Vs_anel = anelastic_correction(water::Int64, Vs0::Float64,P::Float64,T::Float64)</code></pre><p>This routine computes a correction of S-wave velocity for anelasticity</p><p><strong>Input:</strong></p><ul><li><code>water</code>: water flag, 0 = dry; 1 = dampened; 2 = water saturated </li><li><code>Vs0</code>  : S-wave velocitiy of the solid phase (with or without melt correction)</li><li><code>P</code>    : pressure given in Pa</li><li><code>T</code>    : temperature given in °K</li></ul><p><strong>Output:</strong></p><ul><li><code>Vs_anel</code> : corrected S-wave velocity for anelasticity</li></ul><p>The routine uses the reduction formulation of Karato (1993), using the quality factor formulation from Behn et al. (2009)</p><p><strong>References:</strong></p><ul><li><p>Karato, S. I. (1993). Importance of anelasticity in the interpretation of seismic tomography. Geophysical research letters, 20(15), 1623-1626.</p></li><li><p>Behn, M. D., Hirth, G., &amp; Elsenbeck II, J. R. (2009). Implications of grain size evolution on the seismic structure of the oceanic upper mantle. Earth and Planetary Science Letters, 282(1-4), 178-189.</p></li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/SeismicVelocity/SeismicVelocity.jl#L354-L381">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../phasediagrams/">« Phase Diagrams</a><a class="docs-footer-nextpage" href="../plotting/">Plotting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Tuesday 13 September 2022 07:29">Tuesday 13 September 2022</span>. 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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Shear heating · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Shear heating</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Shear heating</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/shearheating.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Shear-heating"><a class="docs-heading-anchor" href="#Shear-heating">Shear heating</a><a id="Shear-heating-1"></a><a class="docs-heading-anchor-permalink" href="#Shear-heating" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Heat caused by non-recoverable deformation can be specified in </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.ConstantShearheating" href="#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantShearheating(Χ=0.0NoUnits)</code></pre><p>Set the shear heating efficiency [0-1] parameter</p><p class="math-container">\[Χ  = cst\]</p><p>where <span>$\Chi$</span> is the shear heating efficiency [NoUnits]</p><p>Shear heating is computed as</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}(\dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Energy/Shearheating.jl#L22-L36">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">H_s = compute_shearheating(s:&lt;AbstractShearheating, τ, ε, ε_el)</code></pre><p>Computes the shear heating source term</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Energy/Shearheating.jl#L79-L94">source</a></section><section><div><pre><code class="nohighlight hljs">H_s = ComputeShearheating(s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij} \]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Energy/Shearheating.jl#L97-L110">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating!" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_shearheating!(H_s, s:&lt;AbstractShearheating,  τ, ε, ε_el)</code></pre><p>Computes the shear heating source term in-place</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul><p><em>NOTE:</em> The shear heating terms require the full deviatoric stress &amp; strain rate tensors, i.e.:</p><p class="math-container">\[2D: \tau_{ij} = \left(   
+                \begin{matrix}
+                    \tau_{xx} &amp; \tau_{xz} \\
+                    \tau_{zx} &amp; \tau_{zz} 
+                \end{matrix} 
+            \right)\]</p><p>Since <span>$\tau_{zx}=\tau_{xz}$</span>, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used! </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Energy/Shearheating.jl#L115-L142">source</a></section><section><div><pre><code class="nohighlight hljs">compute_shearheating!(H_s, s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term <code>H_s</code> in-place when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij} \]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/Energy/Shearheating.jl#L145-L158">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../radioactiveheating/">« Radioactive heat</a><a class="docs-footer-nextpage" href="../gravity/">Gravity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Tuesday 13 September 2022 07:29">Tuesday 13 September 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.17/man/zirconages/index.html b/v0.3.17/man/zirconages/index.html
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Zircon Ages · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul 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class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li class="is-active"><a class="tocitem" href>Zircon Ages</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Zircon Ages</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Zircon Ages</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/zirconages.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Zircon-age-parameterizations"><a class="docs-heading-anchor" href="#Zircon-age-parameterizations">Zircon age parameterizations</a><a id="Zircon-age-parameterizations-1"></a><a class="docs-heading-anchor-permalink" href="#Zircon-age-parameterizations" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Zircons are one of the ways in which we can date the age &amp; activity of magmatic systems.  Here, we provide a computational routine that computes the zircon age distribution from temperature-time paths</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.ZirconAgeData" href="#GeoParams.ZirconAges.ZirconAgeData"><code>GeoParams.ZirconAges.ZirconAgeData</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ZirconAgeData</code></pre><p>Struct that holds default parameters for the calculations</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/ZirconAge/ZirconAges.jl#L27-L31">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>There is one main routine with which you can compute zircon age probability density functions from a range of temperature-ime paths:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.compute_zircon_age_PDF" href="#GeoParams.ZirconAges.compute_zircon_age_PDF"><code>GeoParams.ZirconAges.compute_zircon_age_PDF</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">time_Ma, PDF_zircons, time_Ma_average, PDF_zircon_average, time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF = compute_zircon_age_PDF(time_years_vecs::Vector{Vector}, Tt_paths_Temp_vecs::Vector{Vector}; ZirconData::ZirconAgeData = ZirconAgeData(), bandwidth=bandwidth, n_analyses=300)</code></pre><p>This computes the PDF (probability density function) with zircon age data from Vectors with Tt-paths	</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/ZirconAge/ZirconAges.jl#L296-L301">source</a></section></article><p>This, in turn, calls two other routines:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.compute_zircons_Ttpath" href="#GeoParams.ZirconAges.compute_zircons_Ttpath"><code>GeoParams.ZirconAges.compute_zircons_Ttpath</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF =  compute_zircons_Ttpath(time_years::AbstractArray{Float64,1}, Tt_paths_Temp::AbstractArray{Float64,2}; ZirconData::ZirconAgeData)</code></pre><p>This computes the number of zircons produced from a series of temperature-time path&#39;s.  The Tt-paths are stored in a 2D matrix <code>Tt_paths_Temp</code> with rows being the temperature at time <code>time_years</code>.</p><p><strong>Input:</strong></p><ul><li><code>time_years</code> : vector of length <code>nt</code> with the time in years (since the beginning of the simulation) of the points provided</li><li><code>Tt_paths_Temp</code> : array of size <code>(nt,npaths)</code>` with the temperature of every path.</li></ul><p>Output:</p><ul><li><code>prob</code> : a vector that gives the relative probability that a zircon with a given age exists</li><li><code>ages_eruptible</code> : age of eruptble magma</li><li><code>number_zircons</code> : 1D array of size <code>(nt,)</code></li><li><code>T_av_time</code>: vector of size <code>nt</code> that contains the average T of the paths</li><li><code>T_sd_time</code>: vector of size <code>nt</code> that contains the standard deviation of the T of the paths</li><li><code>cumPDF</code>: vector of size <code>nt</code> that contains the cummulative probability density function that we have an age of less than a certain one in the samples</li></ul><p>This routine was developed based on an R-routine provided as electronic supplement in the paper:</p><ul><li>Weber, G., Caricchi, L., Arce, J.L., Schmitt, A.K., 2020. Determining the current size and state of subvolcanic magma reservoirs. Nat Commun 11, 5477. https://doi.org/10.1038/s41467-020-19084-2</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/ZirconAge/ZirconAges.jl#L98-L120">source</a></section><section><div><pre><code class="nohighlight hljs">time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF  = compute_zircons_Ttpath(time_years_vecs::Vector{Vector{Float64}}, Tt_paths_Temp::Vector{Vector{Float64}}; ZirconData::ZirconAgeData = ZirconAgeData())</code></pre><p>This accepts Vector{Vector} as input for time and temperature of each Tt-path. Here, the length of the vector can be variable between different points.</p><p>Internally, we interpolate this into a 2D matrix and a longer vector that includes all paths and a single vector with times </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/ZirconAge/ZirconAges.jl#L205-L212">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.zircon_age_PDF" href="#GeoParams.ZirconAges.zircon_age_PDF"><code>GeoParams.ZirconAges.zircon_age_PDF</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">zircon_age_PDF(ages_eruptible::AbstractArray{Float64,1}, number_zircons::AbstractArray{Float64,2}, bandwidth=1e5, n_analyses=300, ZirconData::ZirconAgeData)</code></pre><p>Compute probability density functions for zircon age path&#39;s describes in <code>number_zircons</code> with age <code>ages_eruptible</code> (both computed ). <code>bandwidth</code> is the smoothening window of the resulting curves (in years), whereas <code>n_analyses</code> are the number of analyses done. 	</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/484cf32007984bb208501bcd7d82c747e88f889f/src/ZirconAge/ZirconAges.jl#L256-L260">source</a></section></article><p>We also provide a plotting routine, provided the <code>Plots</code> package is loaded, which produces figures such as: <img src="../assets/img/ZirconAge_PDF.png" alt="subet3"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../TASclassification/">« TAS classification</a><a class="docs-footer-nextpage" href="../phasediagrams/">Phase Diagrams »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Tuesday 13 September 2022 07:29">Tuesday 13 September 2022</span>. 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diff --git a/v0.3.17/search/index.html b/v0.3.17/search/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Search · GeoParams.jl</title><script data-outdated-warner src="../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL=".."</script><script 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Guide</span><ul><li><a class="tocitem" href="../man/geounit/">GeoUnit</a></li><li><a class="tocitem" href="../man/nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../man/materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../man/density/">Density</a></li><li><a class="tocitem" href="../man/creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../man/elasticity/">Elasticity</a></li><li><a class="tocitem" href="../man/plasticity/">Plasticity</a></li><li><a class="tocitem" href="../man/heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../man/conductivity/">Conductivity</a></li><li><a class="tocitem" href="../man/latentheat/">Latent heat</a></li><li><a class="tocitem" href="../man/radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../man/shearheating/">Shear heating</a></li><li><a class="tocitem" href="../man/gravity/">Gravity</a></li><li><a class="tocitem" href="../man/melting/">Partial Melting</a></li><li><a class="tocitem" href="../man/TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../man/zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../man/phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../man/seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../man/plotting/">Plotting</a></li><li><a class="tocitem" href="../man/listfunctions/">List of functions</a></li><li><a class="tocitem" href="../man/contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a 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+var documenterSearchIndex = {"docs":
+[{"location":"man/phasediagrams/#Phase-Diagrams","page":"Phase Diagrams","title":"Phase Diagrams","text":"","category":"section"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"It is possible to employ phase diagrams as lookup tables, which can be used to compute density, melt fraction or seismic properties, for example. ","category":"page"},{"location":"man/phasediagrams/#Perple_X","page":"Phase Diagrams","title":"Perple_X","text":"","category":"section"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"A popular way to compute phase diagrams (pseudosections) for a given (fixed) chemical composition as a function of pressure and temperature is by using Perple_X. Once a stable assemblage is computed, through Gibbs energy minimisation, it allows you to output a large number of properties such as density, melt fraction or seismic velocities.","category":"page"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"Within GeoParams, we can import this diagram (provided it is formatted in the same manner as LaMEM expects Perple_X input to be).","category":"page"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"GeoParams.MaterialParameters.PhaseDiagrams.PerpleX_LaMEM_Diagram\nGeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","category":"page"},{"location":"man/phasediagrams/#GeoParams.PerpleX_LaMEM_Diagram","page":"Phase Diagrams","title":"GeoParams.PerpleX_LaMEM_Diagram","text":"PD_Data = PerpleX_LaMEM_Diagram(fname::String; CharDim = nothing)\n\nReads a precomputed phase diagram in the LaMEM/Perple_X format (which is a phase diagram computed using Perple_X, but formatted in a manner that is readable using LaMEM). The data is stored in the PhaseDiagram_LookupTable structure.\n\nIf the CharDim object is specified, the values of all diagrams will be non-dimensionalized.\n\nExample\n\njulia> PD_Data = PerpleX_LaMEM_Diagram(\"./test_data/Peridotite.in\")\nPerple_X/LaMEM Phase Diagram Lookup Table: \n                      File    :   ./test_data/Peridotite.in\n                      T       :   293.0 - 1573.000039\n                      P       :   1.0e7 - 2.9999999944e9\n                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp\n                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs\n                                  :Vp, :Vs, :VpVs\n\nOnce imported, the properties on the diagram can be interpolated in a simple manner:\n\njulia> PD_Data.Rho(1500,1e7)\n3042.836820256982\n\nThis also works for vectors or arrays:\n\njulia> T = [1500 1800; 1233 1300]\njulia> P = [1e8 1e9; 1e7 1e7]\njulia> rho = PD_Data.Rho.(T,P)\n\n(Note the dot . in front of the bracket while evaluating arrays).\n\nThe fields that are available depend on what is listed in the diagram file.  The units of the fields are automatically evaluated, and employed to non-dimensionalize the parameters if CharDim is specified. \n\nAlgorithm\n\nInternally, we employ linear interpolation, as provided by the Interpolations.jl package. Values outside the range of the diagram are set to the boundary of the diagram. The interpolation object is directly encoded in the PhaseDiagram_LookupTable` object.  \n\n\n\n\n\n","category":"function"},{"location":"man/phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","page":"Phase Diagrams","title":"GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","text":"Contains data of a Phase Diagram that is regularly spaced in P & T\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#MaterialParameters","page":"Material Parameters","title":"MaterialParameters","text":"","category":"section"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"Material properties for a given phase can be set with SetMaterialParams, whereas all properties are  stored in the MaterialParams structure. Information about the material parameter is found at MaterialParamsInfo. This can be employed ","category":"page"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"MaterialParamsInfo\nSetMaterialParams\nMaterialParams","category":"page"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParamsInfo","text":"MaterialParamsInfo\n\nStructure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.\n\nUsually used in combination with param_info(the_parameter_of_interest)\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.SetMaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.SetMaterialParams","text":"SetMaterialParams(; Name::String=\"\", Phase::Int64=1,\n                    Density             =   nothing, \n                    Gravity             =   nothing,\n                    CreepLaws           =   nothing, \n                    Elasticity          =   nothing, \n                    Plasticity          =   nothing, \n                    Conductivity        =   nothing, \n                    HeatCapacity        =   nothing, \n                    RadioactiveHeat     =   nothing,\n                    LatentHeat          =   nothing,\n                    ShearHeat           =   nothing,\n                    Melting             =   nothing,\n                    SeismicVelocity     =   nothing,\n                    CharDim::GeoUnits   =   nothing)\n\nSets material parameters for a given phase. \n\nIf CharDim is specified the input parameters are non-dimensionalized.   Note that if Density is specified, we also set Gravity even if not explicitly listed\n\nExamples\n\nDefine two viscous creep laws & constant density:\n\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\",\n                       Density   = ConstantDensity(),\n                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))\nPhase 1 : Viscous Matrix\n        | [dimensional units]\n        | \n        |-- Density           : Constant density: ρ=2900 kg m⁻³ \n        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  \n        |                       Linear viscosity: η=1.0e21 Pa s\n\nDefine two viscous creep laws & P/T dependent density and nondimensionalize\n\njulia> CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\", Phase=33,\n                              Density   = PT_Density(),\n                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),\n                              CharDim   = CharUnits_GEO)\nPhase 33: Viscous Matrix\n        | [non-dimensional units]\n        | \n        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0 \n        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18 \n        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001  \n        |                       Linear viscosity: η=10000.0 \n\nYou can also create an array that holds several parameters:\n\njulia> MatParam        =   Array{MaterialParams, 1}(undef, 2);\njulia> Phase           =   1;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Upper Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                            Density  = ConstantDensity(ρ=2900kg/m^3));\njulia> Phase           =   2;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Lower Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),\n                            Density  = PT_Density(ρ0=3000kg/m^3));\njulia> MatParam\n2-element Vector{MaterialParams}:\n Phase 1 : Upper Crust\n    | [dimensional units]\n    | \n    |-- Density           : Constant density: ρ=2900 kg m⁻³ \n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  \n    |                       Linear viscosity: η=1.0e23 Pa s \n                            \n Phase 2 : Lower Crust\n    | [dimensional units]\n    | \n    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa \n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹  \n    |                       Linear viscosity: η=1.0e21 Pa s \n\n\n\n\n\n","category":"function"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParams","text":"MaterialParams\n\nStructure that holds all material parameters for a given phase\n\n\n\n\n\n","category":"type"},{"location":"man/contributing/#Contributing","page":"Contributing","title":"Contributing","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"You can contribute for example by adding new creep laws or by adding new constitutive relationships. If you invest a bit of time now, it will save others in the community a lot of time! The simplest way to do this is by cloning the repository, and creating a new branch for your feature. Once you are happy with what you added (and after you added a test to ensure that it will keep working with future changes), create a pull request and we will evaluate & merge it.","category":"page"},{"location":"man/contributing/#Style-Guide","page":"Contributing","title":"Style Guide","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Follow the style of the surrounding text when making changes. When adding new features please try to stick to the following points whenever applicable.","category":"page"},{"location":"man/contributing/#Julia","page":"Contributing","title":"Julia","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"4-space indentation;\nmodules spanning entire files should not be indented, but modules that have surrounding code should;\nno blank lines at the start or end of files;\ndo not manually align syntax such as = or :: over adjacent lines;\nuse function ... end when a method definition contains more than one toplevel expression;\nrelated short-form method definitions don't need a new line between them;\nunrelated or long-form method definitions must have a blank line separating each one;\nsurround all binary operators with whitespace except for ::, ^, and :;\nfiles containing a single module ... end must be named after the module;\nmethod arguments should be ordered based on the amount of usage within the method body;\nmethods extended from other modules must follow their inherited argument order, not the above rule;\nexplicit return should be preferred except in short-form method definitions;\navoid dense expressions where possible e.g. prefer nested ifs over complex nested ?s;\ninclude a trailing , in vectors, tuples, or method calls that span several lines;\ndo not use multiline comments (#= and =#);\nwrap long lines as near to 92 characters as possible, this includes docstrings;\nfollow the standard naming conventions used in Base.","category":"page"},{"location":"man/contributing/#Markdown","page":"Contributing","title":"Markdown","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Use unbalanced # headers, i.e. no # on the right hand side of the header text;\ninclude a single blank line between toplevel blocks;\nunordered lists must use * bullets with two preceding spaces;\ndo not hard wrap lines;\nuse emphasis (*) and bold (**) sparingly;\nalways use fenced code blocks instead of indented blocks;\nfollow the conventions outlined in the Julia documentation page on documentation.","category":"page"},{"location":"man/latentheat/#Latent-heat","page":"Latent heat","title":"Latent heat","text":"","category":"section"},{"location":"man/latentheat/#Methods","page":"Latent heat","title":"Methods","text":"","category":"section"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"Latent heat (of crystallisation) is defined as ","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","category":"page"},{"location":"man/latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","page":"Latent heat","title":"GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","text":"ConstantLatentHeat(Q_L=400kJ/kg)\n\nSet a constant latent heat:\n\n    Q_L  = cst\n\nwhere Q_L is the latent heat [kJkg].\n\n\n\n\n\n","category":"type"},{"location":"man/latentheat/#Computational-routines","page":"Latent heat","title":"Computational routines","text":"","category":"section"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"To compute, use this:","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"GeoParams.MaterialParameters.LatentHeat.compute_latent_heat","category":"page"},{"location":"man/zirconages/#Zircon-age-parameterizations","page":"Zircon Ages","title":"Zircon age parameterizations","text":"","category":"section"},{"location":"man/zirconages/#Methods","page":"Zircon Ages","title":"Methods","text":"","category":"section"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"Zircons are one of the ways in which we can date the age & activity of magmatic systems.  Here, we provide a computational routine that computes the zircon age distribution from temperature-time paths","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.ZirconAgeData","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.ZirconAgeData","page":"Zircon Ages","title":"GeoParams.ZirconAges.ZirconAgeData","text":"ZirconAgeData\n\nStruct that holds default parameters for the calculations\n\n\n\n\n\n","category":"type"},{"location":"man/zirconages/#Computational-routines","page":"Zircon Ages","title":"Computational routines","text":"","category":"section"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"There is one main routine with which you can compute zircon age probability density functions from a range of temperature-ime paths:","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.compute_zircon_age_PDF","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.compute_zircon_age_PDF","page":"Zircon Ages","title":"GeoParams.ZirconAges.compute_zircon_age_PDF","text":"time_Ma, PDF_zircons, time_Ma_average, PDF_zircon_average, time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF = compute_zircon_age_PDF(time_years_vecs::Vector{Vector}, Tt_paths_Temp_vecs::Vector{Vector}; ZirconData::ZirconAgeData = ZirconAgeData(), bandwidth=bandwidth, n_analyses=300)\n\nThis computes the PDF (probability density function) with zircon age data from Vectors with Tt-paths\t\n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"This, in turn, calls two other routines:","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.compute_zircons_Ttpath\nGeoParams.zircon_age_PDF","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.compute_zircons_Ttpath","page":"Zircon Ages","title":"GeoParams.ZirconAges.compute_zircons_Ttpath","text":"prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF =  compute_zircons_Ttpath(time_years::AbstractArray{Float64,1}, Tt_paths_Temp::AbstractArray{Float64,2}; ZirconData::ZirconAgeData)\n\nThis computes the number of zircons produced from a series of temperature-time path's.  The Tt-paths are stored in a 2D matrix Tt_paths_Temp with rows being the temperature at time time_years.\n\nInput:\n\ntime_years : vector of length nt with the time in years (since the beginning of the simulation) of the points provided\nTt_paths_Temp : array of size (nt,npaths)` with the temperature of every path.\n\nOutput:\n\nprob : a vector that gives the relative probability that a zircon with a given age exists\nages_eruptible : age of eruptble magma\nnumber_zircons : 1D array of size (nt,)\nT_av_time: vector of size nt that contains the average T of the paths\nT_sd_time: vector of size nt that contains the standard deviation of the T of the paths\ncumPDF: vector of size nt that contains the cummulative probability density function that we have an age of less than a certain one in the samples\n\nThis routine was developed based on an R-routine provided as electronic supplement in the paper:\n\nWeber, G., Caricchi, L., Arce, J.L., Schmitt, A.K., 2020. Determining the current size and state of subvolcanic magma reservoirs. Nat Commun 11, 5477. https://doi.org/10.1038/s41467-020-19084-2\n\n\n\n\n\ntime_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF  = compute_zircons_Ttpath(time_years_vecs::Vector{Vector{Float64}}, Tt_paths_Temp::Vector{Vector{Float64}}; ZirconData::ZirconAgeData = ZirconAgeData())\n\nThis accepts Vector{Vector} as input for time and temperature of each Tt-path. Here, the length of the vector can be variable between different points.\n\nInternally, we interpolate this into a 2D matrix and a longer vector that includes all paths and a single vector with times \n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/#GeoParams.ZirconAges.zircon_age_PDF","page":"Zircon Ages","title":"GeoParams.ZirconAges.zircon_age_PDF","text":"zircon_age_PDF(ages_eruptible::AbstractArray{Float64,1}, number_zircons::AbstractArray{Float64,2}, bandwidth=1e5, n_analyses=300, ZirconData::ZirconAgeData)\n\nCompute probability density functions for zircon age path's describes in number_zircons with age ages_eruptible (both computed ). bandwidth is the smoothening window of the resulting curves (in years), whereas n_analyses are the number of analyses done. \t\n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"We also provide a plotting routine, provided the Plots package is loaded, which produces figures such as: (Image: subet3)","category":"page"},{"location":"man/TASclassification/#TAS-rock-classification","page":"TAS classification","title":"TAS rock classification","text":"","category":"section"},{"location":"man/TASclassification/#Methods","page":"TAS classification","title":"Methods","text":"","category":"section"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"When doing coupled petrological-geodynamic modelling, the evolution of the composition of the magma is more easily understood when a rock type is given. This routine is an implementation of the TAS diagram (Total Alkali (TA) vs Silica (S)) from Le Maitre et al., 2002.","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.TASclassificationData","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.TASclassificationData","page":"TAS classification","title":"GeoParams.TASclassification.TASclassificationData","text":"TASclassificationData\n\nStruct that holds default parameters for the TAS diagram\n\n\n\n\n\n","category":"type"},{"location":"man/TASclassification/#Computational-routine","page":"TAS classification","title":"Computational routine","text":"","category":"section"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"There is one routine with which you can retrieve the index of the TAS rock-type. The routine receives as an input a compositional vector [SiO2,Na2O+K2O] in wt% and sends back an index [1-15].","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.computeTASclassification","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.computeTASclassification","page":"TAS classification","title":"GeoParams.TASclassification.computeTASclassification","text":"classIndex computeTASclassification(chemComp::AbstractArray{_T,N}, ClassTASdata::TASclassificationData)\n\nThis compute the classification of the igneous rock using TAS diagram (Total Alkali (TA) vs Silica (S)).\n\nInput:\n\nchemComp : vector rock composition in oxide wt%\n\nOutput:\n\nclassIndex : an integer [0-14] corresponding to a TAS field (TASclassificationData.litho[classIndex])\n\nThis routine was developed based the TAS classification of Le Maitre et al., 2002\n\n\n\n\n\n","category":"function"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"Using the index of the rock-type you can get the name of the corresponding volcanic rock using the following routine.","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.retrieveTASrockType","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.retrieveTASrockType","page":"TAS classification","title":"GeoParams.TASclassification.retrieveTASrockType","text":"retrieveTASrockType(index::Int64; ClassTASdata::TASclassificationData = TASclassificationData())\n\nThis retrieves the name of the volcanic rock-type using the computed index\n\nInput:\n\nindex : integer [1-15]\n\nOutput:\n\nlitho : a string of the name of corresponding volcanic rock\n\n\n\n\n\n","category":"function"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"We also provide a plotting routine, provided the Plots package is loaded, which produces figures such as: (Image: subet3)","category":"page"},{"location":"man/radioactiveheating/#Radioactive-heat","page":"Radioactive heat","title":"Radioactive heat","text":"","category":"section"},{"location":"man/radioactiveheating/#Methods","page":"Radioactive heat","title":"Methods","text":"","category":"section"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"Radioactive heat sources are defined as ","category":"page"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat\nGeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat\n","category":"page"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","text":"ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)\n\nSet a constant radioactive heat:\n\n    H_r  = cst\n\nwhere H_r is the radioactive heat source [Wattm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat","text":"ExpDepthDependent(H_0=1e-6Watt/m^3, h_r=10e3m, z_0=0m)\n\nSets an exponential depth-dependent radioactive \n\n    H_r  = H_0 exp left( - (z - z_0) over h_r right)\n\nwhere H_0 is the radioactive heat source [Wattm^3] at z=z_0 which decays with depth over a characteristic distance h_r.\n\n\n\n\n\n","category":"type"},{"location":"man/radioactiveheating/#Computational-routines","page":"Radioactive heat","title":"Computational routines","text":"","category":"section"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"To compute, use this:","category":"page"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat\nGeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat!","category":"page"},{"location":"man/listfunctions/#List-of-all-functions","page":"List of functions","title":"List of all functions","text":"","category":"section"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity","page":"Seismic Velocity","title":"Seismic velocity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"Seismic velocity can specified in a number of ways","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","text":"ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)\n\nSet a constant seismic P and S-wave velocity:\n\n    V_p = cst\n\n    V_s = cst\n\nwhere V_p V_s are the P-wave and S-wave velocities [kms].\n\n\n\n\n\n","category":"type"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.","category":"page"},{"location":"man/seismicvelocity/#Computational-routines","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To evaluate seismic velocity within a user routine, use this:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.compute_swave_velocity!\nGeoParams.compute_pwave_velocity!\nGeoParams.compute_pwave_velocity\nGeoParams.compute_swave_velocity","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity-correction-for-partial-melt","page":"Seismic Velocity","title":"Seismic velocity correction for partial melt","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-2","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"The routine uses the reduction formulation of Clark et al., (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-2","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute melt-content based correction for seismic waves velocities, you can use:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.melt_correction","category":"page"},{"location":"man/seismicvelocity/#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity","page":"Seismic Velocity","title":"Seismic S-wave velocity correction for (shallow depth) porosity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-3","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"Ths routine is based on the equilibrium geometry model for the solid skeleton of Takei et al. (1998) and the porosity-depth empirical relationship of Chen et al. (2020)","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-3","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute porosity based correction for seismic S-wave velocity, you can use:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.porosity_correction","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity-correction-for-anelasticity","page":"Seismic Velocity","title":"Seismic velocity correction for anelasticity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-4","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"The routine uses the reduction formulation of karato (1993), using the quality factor formulation from Behn et al. (2009)","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-4","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute a correction of S-wave velocity for anelasticity, use this:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.anelastic_correction","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction","text":"    Vs_anel = anelastic_correction(water::Int64, Vs0::Float64,P::Float64,T::Float64)\n\nThis routine computes a correction of S-wave velocity for anelasticity\n\nInput:\n\nwater: water flag, 0 = dry; 1 = dampened; 2 = water saturated \nVs0  : S-wave velocitiy of the solid phase (with or without melt correction)\nP    : pressure given in Pa\nT    : temperature given in °K\n\nOutput:\n\nVs_anel : corrected S-wave velocity for anelasticity\n\nThe routine uses the reduction formulation of Karato (1993), using the quality factor formulation from Behn et al. (2009)\n\nReferences:\n\nKarato, S. I. (1993). Importance of anelasticity in the interpretation of seismic tomography. Geophysical research letters, 20(15), 1623-1626.\nBehn, M. D., Hirth, G., & Elsenbeck II, J. R. (2009). Implications of grain size evolution on the seismic structure of the oceanic upper mantle. Earth and Planetary Science Letters, 282(1-4), 178-189.\n\n\n\n\n\n","category":"function"},{"location":"man/plasticity/#Plasticity","page":"Plasticity","title":"Plasticity","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"Plasticity is a non;linear rheology bthat is actrivated once stresses exceed a certain yield criteria.","category":"page"},{"location":"man/plasticity/#Implemented-laws","page":"Plasticity","title":"Implemented  laws","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"The following plastic law are implemented:","category":"page"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"GeoParams.MaterialParameters.Plasticity.DruckerPrager","category":"page"},{"location":"man/plasticity/#Computational-routines","page":"Plasticity","title":"Computational routines","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"Once a plastic rheology is defined, we can use the following routines to perform computations within the solvers","category":"page"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"GeoParams.MaterialParameters.Plasticity.compute_yieldfunction\nGeoParams.MaterialParameters.Plasticity.compute_yieldfunction!","category":"page"},{"location":"man/plotting/#Plotting","page":"Plotting","title":"Plotting","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"We provide a number of plotting routines. Note that these plotting routines only become available once the Plots package is loaded.","category":"page"},{"location":"man/plotting/#Plot-CreepLaws","page":"Plotting","title":"Plot CreepLaws","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"GeoParams.PlotStressStrainrate_CreepLaw\nGeoParams.PlotHeatCapacity\nGeoParams.PlotConductivity\nGeoParams.PlotMeltFraction\nGeoParams.PlotPhaseDiagram","category":"page"},{"location":"man/geounit/#GeoUnit","page":"GeoUnit","title":"GeoUnit","text":"","category":"section"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Most parameters have physical units (100km, 9.81 ms⁻²). Yet, within numerical solvers it is usually not a good idea to compute with the actual SI units as they (at least in geosciences) tend to result in very large/small numbers, which can cause in roundoff errors.  Therefore, we usually convert the dimensional units into non-dimensional ones befeore starting computations. The results can than be converted back to more convenient units for us when we generate the output (plots, for example).","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"This requires a wauy to store the dimensions of a parameter, but also, once they are made nondimensional, the original units (otherwise we can't convert them back to dimensional values).","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"For that reason, we use the GeoUnit structure, defined as ","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"struct GeoUnit{T,U}\n    val          :: T\n    unit         :: U\n    isdimensional:: Bool\nend","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"You can define a GeoUnit as:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> a = GeoUnit(100km)\nGeoUnit{dimensional, km}, \n100.0\njulia> b=GeoUnit(100s)\nGeoUnit{dimensional, s}, \n100.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Dividing the two gives the expected result","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> c=a/b\nGeoUnit{dimensional, km s⁻¹·⁰}, \n1.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Can also be a vector:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> T = GeoUnit(100K:10.0K:1000K)\nGeoUnit{dimensional, K}, \n100.0:10.0:1000.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"The numerical value is obtained with:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> NumValue(c)\n1.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"It's unit with","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> Unit(c)\nkm s⁻¹·⁰","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"and the value with unit with","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> Value(c)\n1.0 km s⁻¹·⁰","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"If you multiply or divide a GeoUnit with a normal number, we assume that you are no longer interested in the units and you'll get a Float64:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> c*100\n100.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"The value of the GeoUnit struct becomes clear once we non-dimensionalize it (as explained in more detail in a separate page). For that, first specify which characteristic values you want to use for non-dimensionalisation: ","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> CharDim = GEO_units(length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas);","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Let's define a stress:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> σ=GeoUnit(10MPa)\nGeoUnit{dimensional, MPa}, \n10.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"And transfer it to nondimensional units:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> σ_nd = nondimensionalize(σ,CharDim)\nGeoUnit{nondimensional, MPa}, \n0.9999999999999998","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Instead of 1e7 Pa, we now have 1.0; yet at the same time we know that the original unit of σ_nd was in MPa, which allows to transfer it back to dimensional units:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> dimensionalize(σ_nd,CharDim)\nGeoUnit{dimensional, MPa}, \n10.0","category":"page"},{"location":"man/creeplaws/#CreepLaws","page":"Creep laws","title":"CreepLaws","text":"","category":"section"},{"location":"man/creeplaws/#Implemented-creep-laws","page":"Creep laws","title":"Implemented creep laws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"The following viscous creep laws are implemented:","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"GeoParams.LinearViscous\nGeoParams.PowerlawViscous\nGeoParams.DislocationCreep\nGeoParams.SetDislocationCreep\nGeoParams.DiffusionCreep\nGeoParams.SetDiffusionCreep","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous","text":"LinearViscous(η=1e20Pa*s)\n\nDefines a linear viscous creeplaw \n\nThe (isotopic) linear viscous rheology is given by  \n\n    tau_ij = 2 eta dotvarepsilon_ij \n\nor\n\n    dotvarepsilon_ij  = tau_ij  over 2 eta \n\nwhere eta_0 is the reference viscosity [Pa*s] at reference strain rate dotvarepsilon_0[1/s], and n the power law exponent []. \n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous","text":"PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)\n\nDefines a power law viscous creeplaw as: \n\n    tau_ij^n  = 2 eta_0 left( dotvarepsilon_ij over dotvarepsilon_0 right)\n\nwhere eta is the effective viscosity [Pa*s].\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep","text":"DislocationCreep(n = 1.0NoUnits, r = 0.00.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )\n\nDefines the flow law parameter of a dislocation creep law  The (isotropic) dislocation creep law, as used by experimtalists, is given by  \n\n     dotgamma = A sigma_mathrmd^n f_mathrmH2O^r exp(-fracE+PVRT)\n\nwhere n is the power law exponent,   r is the exponent of fugacity dependence,  A is a pre-exponential factor MPa^(n+r),   E is the activation energy [kJ/mol], V is the activation volume [m^3/mol]. dotgamma is the ordinary strain rate [1/s],  and sigma_mathrmd is the differential stress which are converted into second invariants using the apparatus type that can be either AxialCompression, SimpleShear or Invariant. If the flow law paramters are already given as a function of second invariants, choose apparatus = \"Invariant\"\n\njulia> x2      =   DislocationCreep(n=3)\nDislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep","text":"SetDislocationCreep[\"Name of Dislocation Creep\"]\n\nSets predefined dislocation creep data from a dictionary\n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","text":"SetDiffusionCreep[\"Name of Diffusion Creep\"]\n\nThis is a dictionary with pre-defined creep laws    \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#Computational-routines-for-creep-laws","page":"Creep laws","title":"Computational routines for creep laws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"Once a creep rheology is defined, we can use the following routines to perform computations within the solvers","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"CreepLawVariables\nGeoParams.compute_εII\nGeoParams.compute_εII!\nGeoParams.compute_τII\nGeoParams.compute_τII!\nGeoParams.CorrectionFactor\nGeoParams.RemoveTensorCorrection","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII","text":"compute_εII(a::DiffusionCreep, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)\n\nReturns diffusion creep strainrate as a function of 2nd invariant of the stress tensor tau_II \n\n    dotε_II = A τ_II^n d^p f_H_2O^r exp left(- E + PV over RT right)\n\n\n\n\n\ncompute_εII(s::ConstantElasticity{_T}, τII; τII_old, dt)\n\nComputes elastic strainrate given the deviatoric stress at the current (τII) and old timestep (τII_old), for a timestep dt:\n\n    dotvarepsilon^el = 1 over 2 G D tau_II over Dt   1 over 2 G tau_II- tildetau_II^old over dt \n\nNote that we here solve the scalar equation, which is sufficient for isotropic cases. In tensor form, it would be\n\n    dotvarepsilon^el_ij = 1 over 2 G  tau_ij - tildetau_ij^old over dt \n\nhere tildetau_ij^old is the rotated old deviatoric stress tensor to ensure objectivity (this can be done with Jaumann derivative, or also by using the full rotational formula).\n\n\n\n\n\nτ = 2Gε + η̇ε =  2G ̇ε Δt + η̇ε\ṅε = τ/(2GΔt + 2η)\n\n\n\n\n\ncompute_εII(v::NTuple{N, AbstractConstitutiveLaw},τII,  args)\n\nCompute deviatoric strain rate given deviatoric stress invariant\n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!","text":"compute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)\n\nComputes strainrate as a function of stress\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, s::LinearViscous, TauII::AbstractArray{_T,N})\n\n\n\n\n\ncompute_εII!(ε_el::AbstractArray{_T,N}, s::ConstantElasticity{_T}; τII::AbstractArray{_T,N}, τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)\n\nIn-place computation of the elastic shear strainrate for given deviatoric stress invariants at the previous (τII_old) and new (τII) timestep, as well as the timestep dt  \n\n    dotvarepsilon^el = 1 over 2 G D tau_II over Dt   1 over 2 G tau_II- tau_II^old over dt \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII","text":"compute_τII(a::DislocationCreep, EpsII; P, T, f, args...)\n\nComputes the stress for a Dislocation creep law given a certain strain rate\n\n\n\n\n\ncomputeCreepLaw_TauII(EpsII::_T, a::DiffusionCreep; T::_T, P=zero(_T), f=one(_T), d=one(_T), kwargs...)\n\nReturns diffusion creep stress as a function of 2nd invariant of the strain rate \n\n\n\n\n\ncompute_τII(s::LinearViscous, EpsII; kwargs...)\n\nReturns second invariant of the stress tensor given a 2nd invariant of strain rate tensor \n\n\n\n\n\nτ = 2Gε + η̇ε =  2G ̇ε Δt + η̇ε\n\n\n\n\n\ncompute_τII(v::NTuple{N, AbstractConstitutiveLaw}, εII, args; tol=1e-6, verbose=false)\n\nCompute deviatoric stress invariant given strain rate 2nd invariant\n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!","text":"compute_τII!(TauII::AbstractArray{_T,N}, a::DislocationCreep, EpsII::AbstractArray{_T,N}; \n    P =       zero(TauII)::AbstractArray{_T,N}, \n    T = ones(size(TauII))::AbstractArray{_T,N}, \n    f = ones(size(TauII))::AbstractArray{_T,N})\n\nComputes the stress for a Dislocation creep law\n\n\n\n\n\ncompute_τII!(τII::AbstractArray{_T,N}, s::ConstantElasticity{_T}. ε_el::AbstractArray{_T,N}; τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)\n\nIn-place update of the elastic stress for given deviatoric strainrate invariants and stres invariant at the old (τII_old) timestep, as well as the timestep dt  \n\n    tau_II = 2 G dt dotvarepsilon^el + tau_II^old\n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#Heat-capacity","page":"Heat Capacity","title":"Heat capacity","text":"","category":"section"},{"location":"man/heatcapacity/#Methods","page":"Heat Capacity","title":"Methods","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"Heat capacity is defined as ","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity\nGeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","text":"ConstantHeatCapacity(cp=1050J/mol/kg)\n\nSet a constant heat capacity:\n\n    cp  = cst\n\nwhere cp is the thermal heat capacity [JkgK].\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","text":"T_HeatCapacity_Whittington()\n\nSets a temperature-dependent heat capacity following the parameterization of Whittington et al. (2009), Nature:\n\n    Cp = (a + b T - cT^2)m \n\nwhere Cp is the heat capacity [JkgK], and abc are parameters that dependent on the temperature T:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nmolmass =   0.22178kg/mol \n\nNote that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than JmolK as in eq.3/4 of the paper)\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#Computational-routines","page":"Heat Capacity","title":"Computational routines","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"To compute, use this:","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity\nGeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","text":"Cp = compute_heatcapacity(s:<AbstractHeatCapacity, P, T)\n\nReturns the heat capacity Cp at any temperature T and pressure P using any of the heat capacity laws implemented.\n\nCurrently available:\n\nConstantHeatCapacity\nT_HeatCapacity_Whittington\n\nExample\n\nUsing dimensional units\n\njulia> T  = (250:100:1250)*K;\njulia> cp = T_HeatCapacity_Whittington()\njulia> Cp = ComputeHeatCapacity(0,T,cp)\n11-element Vector{Unitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:\n  635.4269997294616 J kg⁻¹ K⁻¹\n  850.7470171764261 J kg⁻¹ K⁻¹\n  962.0959598489883 J kg⁻¹ K⁻¹\n 1037.5420433770641 J kg⁻¹ K⁻¹\n 1097.3517921966488 J kg⁻¹ K⁻¹\n 1149.2745563671706 J kg⁻¹ K⁻¹\n 1157.7915050948404 J kg⁻¹ K⁻¹\n 1172.3554874197264 J kg⁻¹ K⁻¹\n 1186.9194697445964 J kg⁻¹ K⁻¹\n  1201.483452069455 J kg⁻¹ K⁻¹\n 1216.0474343943067 J kg⁻¹ K⁻¹\n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","text":"compute_heatcapacity!(Cp::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat})\n\nIn-place computation of heat capacity Cp for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#Melting-Parameterizations","page":"Partial Melting","title":"Melting Parameterizations","text":"","category":"section"},{"location":"man/melting/#Methods","page":"Partial Melting","title":"Methods","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"A number of melting parameterisations are implemented, which can be set with:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.MeltingParam_Caricchi\nGeoParams.MeltingParam.MeltingParam_5thOrder\nGeoParams.MeltingParam.MeltingParam_4thOrder\nGeoParams.MeltingParam.MeltingParam_Quadratic\nGeoParams.MeltingParam.MeltingParam_Assimilation\nGeoParams.MeltingParam.SmoothMelting","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Caricchi","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Caricchi","text":"MeltingParam_Caricchi()\n\nImplements the T-dependent melting parameterisation used by Caricchi, Simpson et al. (as for example described in Simpson) \n\n    theta = (a - (T + c)) over b \n\n    phi_melt = 10 over (10 + e^theta)\n\nNote that T is in Kelvin. As default parameters we employ:\n\nb=23K  a=800K  c=27315K\n\nWhich gives a reasonable fit to experimental data of granodioritic composition (Piwinskii and Wyllie, 1968):\n\n(Image: MeltParam_Carrichi)\n\nReferences\n\nSimpson G. (2017) Practical finite element modelling in Earth Sciences Using MATLAB.\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_5thOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_5thOrder","text":"MeltingParam_5thOrder(a,b,c,d,e,f,T_s,T_l)\n\nUses a 5th order polynomial to describe the melt fraction phi between solidus temperature T_s and liquidus temperature T_l\n\n    phi = a T^5 + b T^4 + c T^3 + d T^2 + e T + f  textrm   for    T_s  T  T_l\n\n    phi = 1  textrm   if    TT_l\n\n    phi = 0  textrm   if    TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_5thOrder)\n\nThe default values are for a composite liquid-line-of-descent:\n\nthe upper part is for Andesite from: (Blatter, D. L. & Carmichael, I. S. (2001) Hydrous phase equilibria of a Mexican highsilica andesite: a candidate for a mantle origin? Geochim. Cosmochim. Acta 65, 4043–4065\nthe lower part is extrapolated to the granitic minimum using the Marxer & Ulmer LLD for Andesite (Marxer, F. & Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. Contributions Mineral. Petrol. 174, 84)\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_4thOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_4thOrder","text":"MeltingParam_4thOrder(b,c,d,e,f,T_s,T_l)\n\nUses a 4th order polynomial to describe the melt fraction phi between solidus temperature T_s and liquidus temperature T_l\n\n    phi = b T^4 + c T^3 + d T^2 + e T + f  textrm   for    T_s  T  T_l\n\n    phi = 1 textrm   if    TT_l\n\n    phi = 0  textrm   if    TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_4thOrder)\n\nThe default values are for Tonalite experiments from Marxer and Ulmer (2019):\n\nMarxer, F. & Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. Contributions Mineral. Petrol. 174, 84\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Quadratic","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Quadratic","text":"MeltingParam_Quadratic(T_s,T_l)\n\nQuadratic melt fraction parameterisation where melt fraction phi depends only on solidus (T_s) and liquidus (T_l) temperature:\n\n    phi = 10 - left( T_l - T over T_l - T_s right)^2\n\n    phi = 10 textrm if  TT_l \n\n    phi = 00 textrm if  TT_s \n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_Quadratic)\n\nThis was used, among others, in Tierney et al. (2016) Geology\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Assimilation","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Assimilation","text":"MeltingParam_Assimilation(T_s,T_l,a)\n\nMelt fraction parameterisation that takes the assimilation of crustal host rocks into account, as used by Tierney et al. (2016) based upon a parameterisation of Spera and Bohrson (2001)\n\nHere, the fraction of molten and assimilated host rocks phi depends on the solidus (T_s) and liquidus (T_l) temperatures of the rocks, as well as on a parameter a=0005\n\n    X = left( T - T_s over T_l - T_s right)\n\n    phi = a cdot left( exp^2ln(100)X - 10 right) textrm if  X  05\n\n    phi = 1- a cdot exp^2ln(100)(1-X)  textrm if  X  05\n\n    phi = 10 textrm if  TT_l \n\n    phi = 00 textrm if  TT_s \n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_Assimilation)\n\nThis was used, among others, in Tierney et al. (2016), who employed as default parameters:\n\n   T_s=97315 T_l=117315 a=0005\n\nReferences\n\nSpera, F.J., and Bohrson, W.A., 2001, Energy-Constrained Open-System Magmatic Processes I: General Model and Energy-Constrained Assimilation and Fractional Crystallization (EC- AFC) Formulation: Journal of Petrology, v. 42, p. 999–1018.\nTierney, C.R., Schmitt, A.K., Lovera, O.M., de Silva, S.L., 2016. Voluminous plutonism during volcanic quiescence revealed by thermochemical modeling of zircon. Geology 44, 683–686. https://doi.org/10.1130/G37968.1\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.SmoothMelting","page":"Partial Melting","title":"GeoParams.MeltingParam.SmoothMelting","text":"SmoothMelting(; p=MeltingParam_4thOrder(), k_sol=0.2/K,  k_liq=0.2/K)\n\nThis smoothens the melting parameterisation p around the solidus T_sol and liquidus T_liq using a smoothened Heaviside step functions for the solidus:\n\n    H_sol =  10 over  1 + exp( -2 k_sol (T - T_sol - 2 over k_sol) )  \n\nand liquidus:        \n\n    H_liq =  10 - 10 over  1 + exp( -2 k_liq (T - T_liq + 2 over k_liq) )  \n\nThe resulting melt fraction phi is computed from the original melt fraction phi_0 (computed using one of the methods above) as:\n\n    phi =  phi_0 H_sol H_liq + 10 - H_liq\n\nThe width of the smoothening zones is controlled by k_sol k_liq (larger values = sharper boundary).\n\nThis is important, as jumps in the derivative dϕdT can cause numerical instabilities in latent heat computations, which is prevented with this smoothening.\n\nExample\n\nLet's consider a 4th order parameterisation:\n\njulia> using GeoParams, Plots\njulia> p = MeltingParam_4thOrder();\njulia> T= collect(650.0:1:1050.) .+ 273.15;\njulia> T,phi,dϕdT =  PlotMeltFraction(p,T=T);\n\nThe same but with smoothening:\n\njulia> p_s = SmoothMelting(p=MeltingParam_4thOrder(), k_liq=0.21/K);\n4th order polynomial melting curve: phi = -7.594512597174117e-10T^4 + 3.469192091489447e-6T^3 + -0.00592352980926T^2 + 4.482855645604745T + -1268.730161921053  963.15 K ≤ T ≤ 1270.15 K with smooth Heaviside function smoothening using k_sol=0.1 K⁻¹·⁰, k_liq=0.11 K⁻¹·⁰\njulia> T_s,phi_s,dϕdT_s =  PlotMeltFraction(p_s,T=T);\n\nWe can create plots of this with:\n\njulia> plt1 = plot(T.-273.15, phi, ylabel=\"Melt Fraction ϕ\", color=:red, label=\"original\", xlabel=\"Temperature [C]\")\njulia> plt1 = plot(plt1, T.-273.15, phi_s,  color=:black, label=\"smoothened\", legend=:bottomright)\njulia> plt2 = plot(T.-273.15, dϕdT, ylabel=\"dϕ/dT\", color=:red, label=\"original\", xlabel=\"Temperature [C]\")\njulia> plt2 = plot(plt2, T.-273.15, dϕdT_s,  color=:black, label=\"smoothened\", legend=:topright)\njulia> plot!(plt1,plt2,   xlabel=\"Temperature [C]\", layout=(2,1))\n\nThe derivative no longer has a jump now:\n\n(Image: MeltingParam_Smooth)\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#Computational-routines","page":"Partial Melting","title":"Computational routines","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"To compute the melt fraction at given T and P, use:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.compute_meltfraction!\nGeoParams.MeltingParam.compute_meltfraction","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction!","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction!","text":"compute_meltfraction!(ϕ::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T:AbstractArray{<:AbstractFloat}, p::PhaseDiagram_LookupTable)\n\nIn-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified.\n\n\n\n\n\ncompute_meltfraction(ϕ::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction","text":"compute_meltfraction(P,T, p::AbstractPhaseDiagramsStruct)\n\nComputes melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified.\n\n\n\n\n\nϕ = compute_meltfraction(Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"You can also obtain the derivative of melt fraction versus temperature with (useful to compute latent heat effects):","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.compute_dϕdT!\nGeoParams.MeltingParam.compute_dϕdT","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.compute_dϕdT!","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_dϕdT!","text":"compute_dϕdT!(ϕ::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputates the derivative of melt fraction ϕ versus temperature T, partial phi over partial T for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays. This is employed, for example, in computing latent heat terms in an implicit manner.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#GeoParams.MeltingParam.compute_dϕdT","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_dϕdT","text":"compute_dϕdT(P,T, p::AbstractPhaseDiagramsStruct)\n\nComputes derivative of melt fraction vs T in case we use a phase diagram lookup table. The table should have the column :meltFrac specified. The derivative is computed by finite differencing.\n\n\n\n\n\nϕ = compute_dϕdT(Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputates the derivative of melt fraction ϕ versus temperature T for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays. This is employed in computing latent heat terms in an implicit manner, for example\n\n\n\n\n\n","category":"function"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"Also note that phase diagrams can be imported using PerpleX_LaMEM_Diagram, which may also have melt content information.  The computational routines work with that as well.","category":"page"},{"location":"man/melting/#Plotting-routines","page":"Partial Melting","title":"Plotting routines","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"You can use the routine PlotMeltFraction to create a plot, provided that the Plots package has been loaded","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.PlotMeltFraction","category":"page"},{"location":"man/elasticity/#Elasticity","page":"Elasticity","title":"Elasticity","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"Elasticity is, in geodynamics, often used in combination with viscous and plastic rheology.","category":"page"},{"location":"man/elasticity/#Implemented-laws","page":"Elasticity","title":"Implemented laws","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"We provide the following elastic constitutive relationships:","category":"page"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"GeoParams.ConstantElasticity\nGeoParams.SetConstantElasticity","category":"page"},{"location":"man/elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity","page":"Elasticity","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity","text":"ConstantElasticity(G, ν, K, E)\n\nStructure that holds parameters for constant, isotropic, linear elasticity.\n\n\n\n\n\n","category":"type"},{"location":"man/elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity","page":"Elasticity","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity","text":"SetConstantElasticity(; G=nothing, ν=nothing, E=nothing, Kb=nothing)\n\nThis allows setting elastic parameters by specifying 2 out of the 4 elastic parameters G (Elastic shear modulus), ν (Poisson's ratio), E (Young's modulus), or Kb (bulk modulus).\n\n\n\n\n\n","category":"function"},{"location":"man/elasticity/#Computational-routines","page":"Elasticity","title":"Computational routines","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"We can compute the elastic strainrate with:","category":"page"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"GeoParams.compute_εII\nGeoParams.compute_εII!","category":"page"},{"location":"man/shearheating/#Shear-heating","page":"Shear heating","title":"Shear heating","text":"","category":"section"},{"location":"man/shearheating/#Methods","page":"Shear heating","title":"Methods","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"Heat caused by non-recoverable deformation can be specified in ","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","text":"ConstantShearheating(Χ=0.0NoUnits)\n\nSet the shear heating efficiency [0-1] parameter\n\nΧ  = cst\n\nwhere Chi is the shear heating efficiency [NoUnits]\n\nShear heating is computed as\n\nH_s = Chi cdot tau_ij(dotvarepsilon_ij - dotvarepsilon^el_ij)\n\n\n\n\n\n","category":"type"},{"location":"man/shearheating/#Computational-routines","page":"Shear heating","title":"Computational routines","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"To compute, use this:","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.compute_shearheating\nGeoParams.MaterialParameters.Shearheating.compute_shearheating!","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating","text":"H_s = compute_shearheating(s:<AbstractShearheating, τ, ε, ε_el)\n\nComputes the shear heating source term\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\n\n\n\n\nH_s = ComputeShearheating(s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij \n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating!","text":"compute_shearheating!(H_s, s:<AbstractShearheating,  τ, ε, ε_el)\n\nComputes the shear heating source term in-place\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\nNOTE: The shear heating terms require the full deviatoric stress & strain rate tensors, i.e.:\n\n2D tau_ij = left(   \n                beginmatrix\n                    tau_xx  tau_xz \n                    tau_zx  tau_zz \n                endmatrix \n            right)\n\nSince tau_zx=tau_xz, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used! \n\n\n\n\n\ncompute_shearheating!(H_s, s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term H_s in-place when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij \n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#Nondimensionalization","page":"Nondimensionalization","title":"Nondimensionalization","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between GEO, SI or NO units:","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"SI units assume all input and output is in SI units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).\nGEO units uses SI units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as Myrs,km or MPa\nNO units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that velocity is given in m/s).","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"A dimensional parameter can be transformed into a non-dimensional one with nondimensionalize.","category":"page"},{"location":"man/nondimensionalize/#Specify-characteristic-values","page":"Nondimensionalization","title":"Specify characteristic values","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Characteristic values can be defined in 3 ways.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"GeoParams.Units\nAbstractGeoUnit\nGeoUnit\nGeoUnits\nGEO_units\nSI_units\nNO_units\n@unpack_val\n@unpack_units","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units","page":"Nondimensionalization","title":"GeoParams.Units","text":"This provides units and creates a non-dimensionalization object\n\n\n\n\n\n","category":"module"},{"location":"man/nondimensionalize/#GeoParams.Units.AbstractGeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.AbstractGeoUnit","text":"AbstractGeoUnit\n\nAbstract supertype for geo units.\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnit","text":"Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.\n\nHaving that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.\nWith the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnits","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnits","text":"GeoUnits\n\nStructure that holds parameters used for non-dimensionalization\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GEO_units","page":"Nondimensionalization","title":"GeoParams.Units.GEO_units","text":"GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)\n\nCreates a non-dimensionalization object using GEO units.\n\nGEO units implies that upon dimensionalization, time will be in Myrs, length in km, stress in MPa, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (km or m), provided the unit is specified.\n\nExamples:\n\njulia> CharUnits = GEO_units()\nEmploying GEO units \nCharacteristic values: \n         length:      1000 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\njulia> CharUnits.velocity\n1.0e-7 m s⁻¹\n\nIf we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic length:\n\njulia> CharUnits = GEO_units(length=10km)\nEmploying GEO units \nCharacteristic values: \n         length:      10 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.SI_units","page":"Nondimensionalization","title":"GeoParams.Units.SI_units","text":"CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)\n\nSpecify the characteristic values using SI units \n\nExamples:\n\njulia> CharUnits = SI_units(length=1000m)\nEmploying SI units \nCharacteristic values: \n         length:      1000 m\n         time:        1.0e19 s\n         stress:      10 Pa\n         temperature: 1000.0 K\n\nNote that the same can be achieved if the input is given in km:\n\njulia> CharUnits = SI_units(length=1km)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.NO_units","page":"Nondimensionalization","title":"GeoParams.Units.NO_units","text":"CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)\n\nSpecify the characteristic values in non-dimensional units\n\nExamples:\n\njulia> using GeoParams;\njulia> CharUnits = NO_units()\nEmploying NONE units \nCharacteristic values: \n         length:      1\n         time:        1.0 \n         stress:      1\n         temperature: 1.0\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_val","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_val","text":"This unpacks the numerical value of `GeoUnit` in a structure, without the units.\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_val ρ,α = r\njulia> α\n4.0e-5\njulia> typeof(α)\nFloat64\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_units","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_units","text":"This unpacks the numerical value with units of `GeoUnit` parameters in a structure\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_units ρ,α = r\njulia> α\n4.0e-5 K⁻¹·⁰\njulia> typeof(α)\nQuantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#(Non)-dimensionalize-parameters","page":"Nondimensionalization","title":"(Non)-dimensionalize parameters","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"nondimensionalize\ndimensionalize\nisDimensional","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units.nondimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.nondimensionalize","text":"nondimensionalize(param, CharUnits::GeoUnits{TYPE})\n\nNondimensionalizes param using the characteristic values specified in CharUnits\n\nExample 1\n\njulia> using GeoParams;\njulia> CharUnits =   GEO_units();\njulia> v         =   3cm/yr\n3 cm yr⁻¹ \njulia> v_ND      =   nondimensionalize(v, CharUnits) \n0.009506426344208684\n\nExample 2\n\nIn geodynamics one sometimes encounters more funky units\n\njulia> CharUnits =   GEO_units();\njulia> A         =   6.3e-2MPa^-3.05*s^-1\n0.063 MPa⁻³·⁰⁵ s⁻¹\njulia> A_ND      =   nondimensionalize(A, CharUnits) \n7.068716262102384e14\n\nIn case you are interested to see how the units of A look like in different units, use this function from the Unitful package:\n\njulia> uconvert(u\"Pa^-3.05*s^-1\",A) \n3.157479571851836e-20 Pa⁻³·⁰⁵\n\nand to see it decomposed in the basic SI units of length, mass and time:\n\njulia> upreferred(A)\n3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵\n\n\n\n\n\nMatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nNon-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\nnondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nnondimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.dimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.dimensionalize","text":"dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes param into the dimensions param_dim using the characteristic values specified in CharUnits.  \n\nExample\n\njulia> CharUnits =   GEO_units();\njulia> v_ND      =   nondimensionalize(3cm/yr, CharUnits) \n0.031688087814028945\njulia> v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) \n3.0 cm yr⁻¹\n\n\n\n\n\ndimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\nDimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nDimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.isDimensional","page":"Nondimensionalization","title":"GeoParams.Units.isDimensional","text":"isDimensional(MatParam::AbstractMaterialParam)\n\ntrue if MatParam is in dimensional units.    \n\n\n\n\n\n","category":"function"},{"location":"man/density/#Density","page":"Density","title":"Density","text":"","category":"section"},{"location":"man/density/#Methods","page":"Density","title":"Methods","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"The density equation of state can be specified in a number of ways","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.ConstantDensity\nGeoParams.MaterialParameters.Density.PT_Density\nGeoParams.MaterialParameters.Density.Compressible_Density","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.ConstantDensity","page":"Density","title":"GeoParams.MaterialParameters.Density.ConstantDensity","text":"ConstantDensity(ρ=2900kg/m^3)\n\nSet a constant density:\n\n    rho  = cst\n\nwhere rho is the density [kgm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.PT_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.PT_Density","text":"PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)\n\nSet a pressure and temperature-dependent density:\n\n    rho  = rho_0 (10 - alpha (T-T_0) + beta  (P-P_0) )  \n\nwhere rho_0 is the density [kgm^3] at reference temperature T_0 and pressure P_0, alpha is the temperature dependence of density and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.Compressible_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.Compressible_Density","text":"Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)\n\nSet a pressure-dependent density:\n\n    rho  = rho_0 exp(β*(P - P_0))  \n\nwhere rho_0 is the density [kgm^3] at reference pressure P_0 and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#Computational-routines","page":"Density","title":"Computational routines","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"To evaluate density within a user routine, use this:","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.compute_density\nGeoParams.MaterialParameters.Density.compute_density!","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density","text":"compute_density(P,T, s::PhaseDiagram_LookupTable)\n\nInterpolates density as a function of T,P from a lookup table  \n\n\n\n\n\n","category":"function"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density!","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density!","text":"compute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I<:Integer}\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\nExample\n\njulia> MatParam = (SetMaterialParams(Name=\"Mantle\", Phase=1,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                        Density   = PT_Density()\n                        ),\n                    SetMaterialParams(Name=\"Crust\", Phase=2,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),\n                        Density   = ConstantDensity(ρ=2900kg/m^3))\n                  );\njulia> Phases = ones(Int64,400,400);\njulia> Phases[:,20:end] .= 2\njulia> rho     = zeros(size(Phases))\njulia> T       =  ones(size(Phases))\njulia> P       =  ones(size(Phases))*10\njulia> compute_density!(rho, MatParam, Phases, P, T)\njulia> rho\n400×400 Matrix{Float64}:\n2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮                            \n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n\nThe routine is made to minimize allocations:\n\njulia> using BenchmarkTools\njulia> @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)\n    203.468 μs (0 allocations: 0 bytes)\n\n_____________________________________________________________________________________________________________________________   \n\ncompute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/density/","page":"Density","title":"Density","text":"Note that density values are usually not used in itself in the governing PDE's, but usually in combination with other parameters, such as rho g or rho c_p. the non-dimensional value of rho may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.","category":"page"},{"location":"man/gravity/#Gravitational-acceleration","page":"Gravity","title":"Gravitational acceleration","text":"","category":"section"},{"location":"man/gravity/#Methods","page":"Gravity","title":"Methods","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"Gravitational acceleration is defined as ","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","text":"GravityConstant(g=9.81m/s^2)\n\nSet a constant value for the gravitational acceleration:\n\n    g  = 981 m s^-2\n\n\n\n\n\n","category":"type"},{"location":"man/gravity/#Computational-routines","page":"Gravity","title":"Computational routines","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"To compute, use this:","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","text":"compute_gravity(s:<AbstractGravity)\n\nReturns the gravitational acceleration \n\n\n\n\n\n","category":"function"},{"location":"#GeoParams.jl","page":"Home","title":"GeoParams.jl","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:","category":"page"},{"location":"","page":"Home","title":"Home","text":"Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).\nMaterial parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. ","category":"page"},{"location":"","page":"Home","title":"Home","text":"We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).","category":"page"},{"location":"man/conductivity/#Conductivity","page":"Conductivity","title":"Conductivity","text":"","category":"section"},{"location":"man/conductivity/#Methods","page":"Conductivity","title":"Methods","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"Thermal conductivity is defined as ","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity\nGeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington\nGeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised\nGeoParams.MaterialParameters.Conductivity.TP_Conductivity\nGeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity","text":"ConstantConductivity(k=3.0W/m/K)\n\nSet a constant conductivity\n\n    k  = cst\n\nwhere k is the thermal conductivity [WmK].\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington","text":"T_Conductivity_Whittington()\n\nSets a temperature-dependent conductivity following the parameterization of Whittington, A.G., Hofmeister, A.M., Nabelek, P.I., 2009. Temperature-dependent thermal diffusivity of the Earth’s crust and implications for magmatism. Nature 458, 319–321. https://doi.org/10.1038/nature07818.  Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us to compute \n\n    Cp = a + b T - cT^2 \n\n    kappa = dT - e textrm if  T=846K\n\n    kappa = f - g*T textrm if  T846K\n\n    rho = 2700 kgm^3\n\n    k = kappa rho Cp\n\nwhere Cp is the heat capacity [JmolK], and abc are parameters that dependent on the temperature T:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nd = 576.3m^2/s*K      \ne = 0.062m^2/s        \nf = 0.732m^2/s        \ng = 0.000135m^2/s/K \n\nThis looks like:\n\n(Image: subet1)\n\nExample\n\njulia> using GeoParams, Plots\njulia> p=T_Conductivity_Whittington();\njulia> T,k,plt = PlotConductivity(p)\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised","text":"T_Conductivity_Whittington_parameterised()\n\nSets a temperature-dependent conductivity that is  parameterization after Whittington, et al.  2009 \n\nThe original parameterization involves quite a few parameters; this is a polynomial fit that is roughly valid from 0-1000Celcius\n\n    k WmK = -2 10^-9 (T-Ts)^3 + 6 10^-6 (T-Ts)^2 - 00062 (T-Ts) + 4\n\n    Ts = 27315 K\n\nwhere T[K] is the temperature in Kelvin (or the nondimensional equivalent of it).\n\nThe comparison of this parameterisation vs. the original one is: (Image: subet1)\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.TP_Conductivity","text":"TP_Conductivity()\n\nSets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for  \n\n    k = left( a_k +  b_k over T + c_k right) (1 + d_k P) \n\nwhere k is the conductivity [WKm], and a_kb_kc_kd_k are parameters that dependent on the temperature T and pressure P:\n\na_k = 1.18Watt/K/m    \nb_k = 474Watt/m \nc_k = 77K       \nd_k = 0/MPa       \n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","text":"Set_TP_Conductivity[\"Name of temperature(-pressure) dependent conductivity\"]\n\nThis is a dictionary with pre-defined laws:\n\n\"UpperCrust\"    \n\"LowerCrust\"\n\"OceanicCrust\"\n\"Mantle\"\n\nExample\n\njulia> k=Set_TP_Conductivity[\"Mantle\"]\nT/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)  \n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#Computational-routines","page":"Conductivity","title":"Computational routines","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"To compute, use this:","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.compute_conductivity\nGeoParams.MaterialParameters.Conductivity.compute_conductivity!","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity","text":"k = compute_conductivity(P, T, s:<AbstractConductivity)\n\nReturns the thermal conductivity k at any temperature T and pressure P using any of the parameterizations implemented.\n\nCurrently available:\n\nConstantConductivity\nT_Conductivity_Whittington\nTP_Conductivity\n\nExample\n\nUsing dimensional units\n\njulia> T  = (250:100:1250)*K;\njulia> cp = T_HeatCapacity_Whittington()\njulia> Cp = ComputeHeatCapacity(0,T,cp)\n\n\n\n\n\ncompute_conductivity!(K::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},Temp::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of conductivity K for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and Temp arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n_________________________________________________________________________________________________________\n\ncompute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity!","text":"compute_conductivity(k_array::AbstractArray{<:AbstractFloat,N},P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, s::ConstantConductivity) where N\n\nIn-place routine to compute constant conductivity    \n\n\n\n\n\n","category":"function"}]
+}
diff --git a/v0.3.17/siteinfo.js b/v0.3.17/siteinfo.js
new file mode 100644
index 000000000..c7f4b006b
--- /dev/null
+++ b/v0.3.17/siteinfo.js
@@ -0,0 +1 @@
+var DOCUMENTER_CURRENT_VERSION = "v0.3.17";
diff --git a/v0.3.18/assets/documenter.js b/v0.3.18/assets/documenter.js
new file mode 100644
index 000000000..6adfbbbf4
--- /dev/null
+++ b/v0.3.18/assets/documenter.js
@@ -0,0 +1,331 @@
+// Generated by Documenter.jl
+requirejs.config({
+  paths: {
+    'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia.min',
+    'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min',
+    'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.12.1/jquery-ui.min',
+    'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/contrib/auto-render.min',
+    'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min',
+    'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min',
+    'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min',
+    'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/highlight.min',
+    'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia-repl.min',
+  },
+  shim: {
+  "highlight-julia": {
+    "deps": [
+      "highlight"
+    ]
+  },
+  "katex-auto-render": {
+    "deps": [
+      "katex"
+    ]
+  },
+  "headroom-jquery": {
+    "deps": [
+      "jquery",
+      "headroom"
+    ]
+  },
+  "highlight-julia-repl": {
+    "deps": [
+      "highlight"
+    ]
+  }
+}
+});
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) {
+$(document).ready(function() {
+  renderMathInElement(
+    document.body,
+    {
+  "delimiters": [
+    {
+      "left": "$",
+      "right": "$",
+      "display": false
+    },
+    {
+      "left": "$$",
+      "right": "$$",
+      "display": true
+    },
+    {
+      "left": "\\[",
+      "right": "\\]",
+      "display": true
+    }
+  ]
+}
+
+  );
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) {
+$(document).ready(function() {
+    hljs.highlightAll();
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require([], function() {
+function addCopyButtonCallbacks() {
+  for (const el of document.getElementsByTagName("pre")) {
+    const button = document.createElement("button");
+    button.classList.add("copy-button", "fas", "fa-copy");
+    el.appendChild(button);
+
+    const success = function () {
+      button.classList.add("success", "fa-check");
+      button.classList.remove("fa-copy");
+    };
+
+    const failure = function () {
+      button.classList.add("error", "fa-times");
+      button.classList.remove("fa-copy");
+    };
+
+    button.addEventListener("click", function () {
+      copyToClipboard(el.innerText).then(success, failure);
+
+      setTimeout(function () {
+        button.classList.add("fa-copy");
+        button.classList.remove("success", "fa-check", "fa-times");
+      }, 5000);
+    });
+  }
+}
+
+function copyToClipboard(text) {
+  // clipboard API is only available in secure contexts
+  if (window.navigator && window.navigator.clipboard) {
+    return window.navigator.clipboard.writeText(text);
+  } else {
+    return new Promise(function (resolve, reject) {
+      try {
+        const el = document.createElement("textarea");
+        el.textContent = text;
+        el.style.position = "fixed";
+        el.style.opacity = 0;
+        document.body.appendChild(el);
+        el.select();
+        document.execCommand("copy");
+
+        resolve();
+      } catch (err) {
+        reject(err);
+      } finally {
+        document.body.removeChild(el);
+      }
+    });
+  }
+}
+
+if (document.readyState === "loading") {
+  document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks);
+} else {
+  addCopyButtonCallbacks();
+}
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) {
+
+// Manages the top navigation bar (hides it when the user starts scrolling down on the
+// mobile).
+window.Headroom = Headroom; // work around buggy module loading?
+$(document).ready(function() {
+  $('#documenter .docs-navbar').headroom({
+    "tolerance": {"up": 10, "down": 10},
+  });
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// Modal settings dialog
+$(document).ready(function() {
+  var settings = $('#documenter-settings');
+  $('#documenter-settings-button').click(function(){
+    settings.toggleClass('is-active');
+  });
+  // Close the dialog if X is clicked
+  $('#documenter-settings button.delete').click(function(){
+    settings.removeClass('is-active');
+  });
+  // Close dialog if ESC is pressed
+  $(document).keyup(function(e) {
+    if (e.keyCode == 27) settings.removeClass('is-active');
+  });
+});
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// Manages the showing and hiding of the sidebar.
+$(document).ready(function() {
+  var sidebar = $("#documenter > .docs-sidebar");
+  var sidebar_button = $("#documenter-sidebar-button")
+  sidebar_button.click(function(ev) {
+    ev.preventDefault();
+    sidebar.toggleClass('visible');
+    if (sidebar.hasClass('visible')) {
+      // Makes sure that the current menu item is visible in the sidebar.
+      $("#documenter .docs-menu a.is-active").focus();
+    }
+  });
+  $("#documenter > .docs-main").bind('click', function(ev) {
+    if ($(ev.target).is(sidebar_button)) {
+      return;
+    }
+    if (sidebar.hasClass('visible')) {
+      sidebar.removeClass('visible');
+    }
+  });
+})
+
+// Resizes the package name / sitename in the sidebar if it is too wide.
+// Inspired by: https://github.com/davatron5000/FitText.js
+$(document).ready(function() {
+  e = $("#documenter .docs-autofit");
+  function resize() {
+    var L = parseInt(e.css('max-width'), 10);
+    var L0 = e.width();
+    if(L0 > L) {
+      var h0 = parseInt(e.css('font-size'), 10);
+      e.css('font-size', L * h0 / L0);
+      // TODO: make sure it survives resizes?
+    }
+  }
+  // call once and then register events
+  resize();
+  $(window).resize(resize);
+  $(window).on('orientationchange', resize);
+});
+
+// Scroll the navigation bar to the currently selected menu item
+$(document).ready(function() {
+  var sidebar = $("#documenter .docs-menu").get(0);
+  var active = $("#documenter .docs-menu .is-active").get(0);
+  if(typeof active !== 'undefined') {
+    sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15;
+  }
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+function set_theme(theme) {
+  var active = null;
+  var disabled = [];
+  for (var i = 0; i < document.styleSheets.length; i++) {
+    var ss = document.styleSheets[i];
+    var themename = ss.ownerNode.getAttribute("data-theme-name");
+    if(themename === null) continue; // ignore non-theme stylesheets
+    // Find the active theme
+    if(themename === theme) active = ss;
+    else disabled.push(ss);
+  }
+  if(active !== null) {
+    active.disabled = false;
+    if(active.ownerNode.getAttribute("data-theme-primary") === null) {
+      document.getElementsByTagName('html')[0].className = "theme--" + theme;
+    } else {
+      document.getElementsByTagName('html')[0].className = "";
+    }
+    disabled.forEach(function(ss){
+      ss.disabled = true;
+    });
+  }
+
+  // Store the theme in localStorage
+  if(typeof(window.localStorage) !== "undefined") {
+    window.localStorage.setItem("documenter-theme", theme);
+  } else {
+    console.error("Browser does not support window.localStorage");
+  }
+}
+
+// Theme picker setup
+$(document).ready(function() {
+  // onchange callback
+  $('#documenter-themepicker').change(function themepick_callback(ev){
+    var themename = $('#documenter-themepicker option:selected').attr('value');
+    set_theme(themename);
+  });
+
+  // Make sure that the themepicker displays the correct theme when the theme is retrieved
+  // from localStorage
+  if(typeof(window.localStorage) !== "undefined") {
+    var theme =  window.localStorage.getItem("documenter-theme");
+    if(theme !== null) {
+      $('#documenter-themepicker option').each(function(i,e) {
+        e.selected = (e.value === theme);
+      })
+    } else {
+      $('#documenter-themepicker option').each(function(i,e) {
+        e.selected = $("html").hasClass(`theme--${e.value}`);
+      })
+    }
+  }
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// update the version selector with info from the siteinfo.js and ../versions.js files
+$(document).ready(function() {
+  // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the
+  // siteinfo.js file, we just return immediately and not display the version selector.
+  if (typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === 'boolean' && DOCUMENTER_VERSION_SELECTOR_DISABLED) {
+    return;
+  }
+
+  var version_selector = $("#documenter .docs-version-selector");
+  var version_selector_select = $("#documenter .docs-version-selector select");
+
+  version_selector_select.change(function(x) {
+    target_href = version_selector_select.children("option:selected").get(0).value;
+    window.location.href = target_href;
+  });
+
+  // add the current version to the selector based on siteinfo.js, but only if the selector is empty
+  if (typeof DOCUMENTER_CURRENT_VERSION !== 'undefined' && $('#version-selector > option').length == 0) {
+    var option = $("<option value='#' selected='selected'>" + DOCUMENTER_CURRENT_VERSION + "</option>");
+    version_selector_select.append(option);
+  }
+
+  if (typeof DOC_VERSIONS !== 'undefined') {
+    var existing_versions = version_selector_select.children("option");
+    var existing_versions_texts = existing_versions.map(function(i,x){return x.text});
+    DOC_VERSIONS.forEach(function(each) {
+      var version_url = documenterBaseURL + "/../" + each;
+      var existing_id = $.inArray(each, existing_versions_texts);
+      // if not already in the version selector, add it as a new option,
+      // otherwise update the old option with the URL and enable it
+      if (existing_id == -1) {
+        var option = $("<option value='" + version_url + "'>" + each + "</option>");
+        version_selector_select.append(option);
+      } else {
+        var option = existing_versions[existing_id];
+        option.value = version_url;
+        option.disabled = false;
+      }
+    });
+  }
+
+  // only show the version selector if the selector has been populated
+  if (version_selector_select.children("option").length > 0) {
+    version_selector.toggleClass("visible");
+  }
+})
+
+})
diff --git a/v0.3.18/assets/search.js b/v0.3.18/assets/search.js
new file mode 100644
index 000000000..c133f7410
--- /dev/null
+++ b/v0.3.18/assets/search.js
@@ -0,0 +1,267 @@
+// Generated by Documenter.jl
+requirejs.config({
+  paths: {
+    'lunr': 'https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min',
+    'lodash': 'https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.21/lodash.min',
+    'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min',
+  }
+});
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'lunr', 'lodash'], function($, lunr, _) {
+
+$(document).ready(function() {
+  // parseUri 1.2.2
+  // (c) Steven Levithan <stevenlevithan.com>
+  // MIT License
+  function parseUri (str) {
+    var  o   = parseUri.options,
+      m   = o.parser[o.strictMode ? "strict" : "loose"].exec(str),
+      uri = {},
+      i   = 14;
+
+    while (i--) uri[o.key[i]] = m[i] || "";
+
+    uri[o.q.name] = {};
+    uri[o.key[12]].replace(o.q.parser, function ($0, $1, $2) {
+      if ($1) uri[o.q.name][$1] = $2;
+    });
+
+    return uri;
+  };
+  parseUri.options = {
+    strictMode: false,
+    key: ["source","protocol","authority","userInfo","user","password","host","port","relative","path","directory","file","query","anchor"],
+    q:   {
+      name:   "queryKey",
+      parser: /(?:^|&)([^&=]*)=?([^&]*)/g
+    },
+    parser: {
+      strict: /^(?:([^:\/?#]+):)?(?:\/\/((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?))?((((?:[^?#\/]*\/)*)([^?#]*))(?:\?([^#]*))?(?:#(.*))?)/,
+      loose:  /^(?:(?![^:@]+:[^:@\/]*@)([^:\/?#.]+):)?(?:\/\/)?((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?)(((\/(?:[^?#](?![^?#\/]*\.[^?#\/.]+(?:[?#]|$)))*\/?)?([^?#\/]*))(?:\?([^#]*))?(?:#(.*))?)/
+    }
+  };
+
+  $("#search-form").submit(function(e) {
+    e.preventDefault()
+  })
+
+  // list below is the lunr 2.1.3 list minus the intersect with names(Base)
+  // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with)
+  // ideally we'd just filter the original list but it's not available as a variable
+  lunr.stopWordFilter = lunr.generateStopWordFilter([
+    'a',
+    'able',
+    'about',
+    'across',
+    'after',
+    'almost',
+    'also',
+    'am',
+    'among',
+    'an',
+    'and',
+    'are',
+    'as',
+    'at',
+    'be',
+    'because',
+    'been',
+    'but',
+    'by',
+    'can',
+    'cannot',
+    'could',
+    'dear',
+    'did',
+    'does',
+    'either',
+    'ever',
+    'every',
+    'from',
+    'got',
+    'had',
+    'has',
+    'have',
+    'he',
+    'her',
+    'hers',
+    'him',
+    'his',
+    'how',
+    'however',
+    'i',
+    'if',
+    'into',
+    'it',
+    'its',
+    'just',
+    'least',
+    'like',
+    'likely',
+    'may',
+    'me',
+    'might',
+    'most',
+    'must',
+    'my',
+    'neither',
+    'no',
+    'nor',
+    'not',
+    'of',
+    'off',
+    'often',
+    'on',
+    'or',
+    'other',
+    'our',
+    'own',
+    'rather',
+    'said',
+    'say',
+    'says',
+    'she',
+    'should',
+    'since',
+    'so',
+    'some',
+    'than',
+    'that',
+    'the',
+    'their',
+    'them',
+    'then',
+    'there',
+    'these',
+    'they',
+    'this',
+    'tis',
+    'to',
+    'too',
+    'twas',
+    'us',
+    'wants',
+    'was',
+    'we',
+    'were',
+    'what',
+    'when',
+    'who',
+    'whom',
+    'why',
+    'will',
+    'would',
+    'yet',
+    'you',
+    'your'
+  ])
+
+  // add . as a separator, because otherwise "title": "Documenter.Anchors.add!"
+  // would not find anything if searching for "add!", only for the entire qualification
+  lunr.tokenizer.separator = /[\s\-\.]+/
+
+  // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names
+  lunr.trimmer = function (token) {
+    return token.update(function (s) {
+      return s.replace(/^[^a-zA-Z0-9@!]+/, '').replace(/[^a-zA-Z0-9@!]+$/, '')
+    })
+  }
+
+  lunr.Pipeline.registerFunction(lunr.stopWordFilter, 'juliaStopWordFilter')
+  lunr.Pipeline.registerFunction(lunr.trimmer, 'juliaTrimmer')
+
+  var index = lunr(function () {
+    this.ref('location')
+    this.field('title',{boost: 100})
+    this.field('text')
+    documenterSearchIndex['docs'].forEach(function(e) {
+        this.add(e)
+    }, this)
+  })
+  var store = {}
+
+  documenterSearchIndex['docs'].forEach(function(e) {
+      store[e.location] = {title: e.title, category: e.category, page: e.page}
+  })
+
+  $(function(){
+    searchresults = $('#documenter-search-results');
+    searchinfo = $('#documenter-search-info');
+    searchbox = $('#documenter-search-query');
+    searchform = $('.docs-search');
+    sidebar = $('.docs-sidebar');
+    function update_search(querystring) {
+      tokens = lunr.tokenizer(querystring)
+      results = index.query(function (q) {
+        tokens.forEach(function (t) {
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 100,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 10,
+            usePipeline: true,
+            editDistance: 2,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["text"],
+            boost: 1,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+        })
+      })
+      searchinfo.text("Number of results: " + results.length)
+      searchresults.empty()
+      results.forEach(function(result) {
+        data = store[result.ref]
+        link = $('<a class="docs-label">'+data.title+'</a>')
+        link.attr('href', documenterBaseURL+'/'+result.ref)
+        if (data.category != "page"){
+          cat = $('<span class="docs-category">('+data.category+', '+data.page+')</span>')
+        } else {
+          cat = $('<span class="docs-category">('+data.category+')</span>')
+        }
+        li = $('<li>').append(link).append(" ").append(cat)
+        searchresults.append(li)
+      })
+    }
+
+    function update_search_box() {
+      querystring = searchbox.val()
+      update_search(querystring)
+    }
+
+    searchbox.keyup(_.debounce(update_search_box, 250))
+    searchbox.change(update_search_box)
+
+    // Disable enter-key form submission for the searchbox on the search page
+    // and just re-run search rather than refresh the whole page.
+    searchform.keypress(
+      function(event){
+        if (event.which == '13') {
+          if (sidebar.hasClass('visible')) {
+            sidebar.removeClass('visible');
+          }
+          update_search_box();
+          event.preventDefault();
+        }
+      }
+    );
+
+    search_query_uri = parseUri(window.location).queryKey["q"]
+    if(search_query_uri !== undefined) {
+      search_query = decodeURIComponent(search_query_uri.replace(/\+/g, '%20'))
+      searchbox.val(search_query)
+    }
+    update_search_box();
+  })
+})
+
+})
diff --git a/v0.3.18/assets/themes/documenter-dark.css b/v0.3.18/assets/themes/documenter-dark.css
new file mode 100644
index 000000000..0bf1af7d5
--- /dev/null
+++ b/v0.3.18/assets/themes/documenter-dark.css
@@ -0,0 +1,7702 @@
+@charset "UTF-8";
+/* Font Awesome 5 mixin. Can be included in any rule that should render Font Awesome icons. */
+@keyframes spinAround {
+  from {
+    transform: rotate(0deg); }
+  to {
+    transform: rotate(359deg); } }
+
+html.theme--documenter-dark .tabs, html.theme--documenter-dark .pagination-previous,
+html.theme--documenter-dark .pagination-next,
+html.theme--documenter-dark .pagination-link,
+html.theme--documenter-dark .pagination-ellipsis, html.theme--documenter-dark .breadcrumb, html.theme--documenter-dark .file, html.theme--documenter-dark .button, .is-unselectable, html.theme--documenter-dark .modal-close, html.theme--documenter-dark .delete {
+  -webkit-touch-callout: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  user-select: none; }
+
+html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after, html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after {
+  border: 3px solid transparent;
+  border-radius: 2px;
+  border-right: 0;
+  border-top: 0;
+  content: " ";
+  display: block;
+  height: 0.625em;
+  margin-top: -0.4375em;
+  pointer-events: none;
+  position: absolute;
+  top: 50%;
+  transform: rotate(-45deg);
+  transform-origin: center;
+  width: 0.625em; }
+
+html.theme--documenter-dark .admonition:not(:last-child), html.theme--documenter-dark .tabs:not(:last-child), html.theme--documenter-dark .message:not(:last-child), html.theme--documenter-dark .list:not(:last-child), html.theme--documenter-dark .level:not(:last-child), html.theme--documenter-dark .breadcrumb:not(:last-child), html.theme--documenter-dark .highlight:not(:last-child), html.theme--documenter-dark .block:not(:last-child), html.theme--documenter-dark .title:not(:last-child),
+html.theme--documenter-dark .subtitle:not(:last-child), html.theme--documenter-dark .table-container:not(:last-child), html.theme--documenter-dark .table:not(:last-child), html.theme--documenter-dark .progress:not(:last-child), html.theme--documenter-dark .notification:not(:last-child), html.theme--documenter-dark .content:not(:last-child), html.theme--documenter-dark .box:not(:last-child) {
+  margin-bottom: 1.5rem; }
+
+html.theme--documenter-dark .modal-close, html.theme--documenter-dark .delete {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  background-color: rgba(10, 10, 10, 0.2);
+  border: none;
+  border-radius: 290486px;
+  cursor: pointer;
+  pointer-events: auto;
+  display: inline-block;
+  flex-grow: 0;
+  flex-shrink: 0;
+  font-size: 0;
+  height: 20px;
+  max-height: 20px;
+  max-width: 20px;
+  min-height: 20px;
+  min-width: 20px;
+  outline: none;
+  position: relative;
+  vertical-align: top;
+  width: 20px; }
+  html.theme--documenter-dark .modal-close::before, html.theme--documenter-dark .delete::before, html.theme--documenter-dark .modal-close::after, html.theme--documenter-dark .delete::after {
+    background-color: white;
+    content: "";
+    display: block;
+    left: 50%;
+    position: absolute;
+    top: 50%;
+    transform: translateX(-50%) translateY(-50%) rotate(45deg);
+    transform-origin: center center; }
+  html.theme--documenter-dark .modal-close::before, html.theme--documenter-dark .delete::before {
+    height: 2px;
+    width: 50%; }
+  html.theme--documenter-dark .modal-close::after, html.theme--documenter-dark .delete::after {
+    height: 50%;
+    width: 2px; }
+  html.theme--documenter-dark .modal-close:hover, html.theme--documenter-dark .delete:hover, html.theme--documenter-dark .modal-close:focus, html.theme--documenter-dark .delete:focus {
+    background-color: rgba(10, 10, 10, 0.3); }
+  html.theme--documenter-dark .modal-close:active, html.theme--documenter-dark .delete:active {
+    background-color: rgba(10, 10, 10, 0.4); }
+  html.theme--documenter-dark .is-small.modal-close, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.modal-close, html.theme--documenter-dark .is-small.delete, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.delete {
+    height: 16px;
+    max-height: 16px;
+    max-width: 16px;
+    min-height: 16px;
+    min-width: 16px;
+    width: 16px; }
+  html.theme--documenter-dark .is-medium.modal-close, html.theme--documenter-dark .is-medium.delete {
+    height: 24px;
+    max-height: 24px;
+    max-width: 24px;
+    min-height: 24px;
+    min-width: 24px;
+    width: 24px; }
+  html.theme--documenter-dark .is-large.modal-close, html.theme--documenter-dark .is-large.delete {
+    height: 32px;
+    max-height: 32px;
+    max-width: 32px;
+    min-height: 32px;
+    min-width: 32px;
+    width: 32px; }
+
+html.theme--documenter-dark .control.is-loading::after, html.theme--documenter-dark .select.is-loading::after, html.theme--documenter-dark .loader, html.theme--documenter-dark .button.is-loading::after {
+  animation: spinAround 500ms infinite linear;
+  border: 2px solid #dbdee0;
+  border-radius: 290486px;
+  border-right-color: transparent;
+  border-top-color: transparent;
+  content: "";
+  display: block;
+  height: 1em;
+  position: relative;
+  width: 1em; }
+
+html.theme--documenter-dark .hero-video, html.theme--documenter-dark .modal-background, html.theme--documenter-dark .modal, html.theme--documenter-dark .image.is-square img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square img,
+html.theme--documenter-dark .image.is-square .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, html.theme--documenter-dark .image.is-1by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+html.theme--documenter-dark .image.is-1by1 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, html.theme--documenter-dark .image.is-5by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+html.theme--documenter-dark .image.is-5by4 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, html.theme--documenter-dark .image.is-4by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+html.theme--documenter-dark .image.is-4by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, html.theme--documenter-dark .image.is-3by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+html.theme--documenter-dark .image.is-3by2 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, html.theme--documenter-dark .image.is-5by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+html.theme--documenter-dark .image.is-5by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, html.theme--documenter-dark .image.is-16by9 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+html.theme--documenter-dark .image.is-16by9 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, html.theme--documenter-dark .image.is-2by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+html.theme--documenter-dark .image.is-2by1 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, html.theme--documenter-dark .image.is-3by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+html.theme--documenter-dark .image.is-3by1 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, html.theme--documenter-dark .image.is-4by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+html.theme--documenter-dark .image.is-4by5 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, html.theme--documenter-dark .image.is-3by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+html.theme--documenter-dark .image.is-3by4 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, html.theme--documenter-dark .image.is-2by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+html.theme--documenter-dark .image.is-2by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, html.theme--documenter-dark .image.is-3by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+html.theme--documenter-dark .image.is-3by5 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, html.theme--documenter-dark .image.is-9by16 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+html.theme--documenter-dark .image.is-9by16 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, html.theme--documenter-dark .image.is-1by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+html.theme--documenter-dark .image.is-1by2 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, html.theme--documenter-dark .image.is-1by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+html.theme--documenter-dark .image.is-1by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio, .is-overlay {
+  bottom: 0;
+  left: 0;
+  position: absolute;
+  right: 0;
+  top: 0; }
+
+html.theme--documenter-dark .pagination-previous,
+html.theme--documenter-dark .pagination-next,
+html.theme--documenter-dark .pagination-link,
+html.theme--documenter-dark .pagination-ellipsis, html.theme--documenter-dark .file-cta,
+html.theme--documenter-dark .file-name, html.theme--documenter-dark .select select, html.theme--documenter-dark .textarea, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark .button {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  align-items: center;
+  border: 1px solid transparent;
+  border-radius: 0.4em;
+  box-shadow: none;
+  display: inline-flex;
+  font-size: 15px;
+  height: 2.25em;
+  justify-content: flex-start;
+  line-height: 1.5;
+  padding-bottom: calc(0.375em - 1px);
+  padding-left: calc(0.625em - 1px);
+  padding-right: calc(0.625em - 1px);
+  padding-top: calc(0.375em - 1px);
+  position: relative;
+  vertical-align: top; }
+  html.theme--documenter-dark .pagination-previous:focus,
+  html.theme--documenter-dark .pagination-next:focus,
+  html.theme--documenter-dark .pagination-link:focus,
+  html.theme--documenter-dark .pagination-ellipsis:focus, html.theme--documenter-dark .file-cta:focus,
+  html.theme--documenter-dark .file-name:focus, html.theme--documenter-dark .select select:focus, html.theme--documenter-dark .textarea:focus, html.theme--documenter-dark .input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:focus, html.theme--documenter-dark .button:focus, html.theme--documenter-dark .is-focused.pagination-previous,
+  html.theme--documenter-dark .is-focused.pagination-next,
+  html.theme--documenter-dark .is-focused.pagination-link,
+  html.theme--documenter-dark .is-focused.pagination-ellipsis, html.theme--documenter-dark .is-focused.file-cta,
+  html.theme--documenter-dark .is-focused.file-name, html.theme--documenter-dark .select select.is-focused, html.theme--documenter-dark .is-focused.textarea, html.theme--documenter-dark .is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-focused.button, html.theme--documenter-dark .pagination-previous:active,
+  html.theme--documenter-dark .pagination-next:active,
+  html.theme--documenter-dark .pagination-link:active,
+  html.theme--documenter-dark .pagination-ellipsis:active, html.theme--documenter-dark .file-cta:active,
+  html.theme--documenter-dark .file-name:active, html.theme--documenter-dark .select select:active, html.theme--documenter-dark .textarea:active, html.theme--documenter-dark .input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:active, html.theme--documenter-dark .button:active, html.theme--documenter-dark .is-active.pagination-previous,
+  html.theme--documenter-dark .is-active.pagination-next,
+  html.theme--documenter-dark .is-active.pagination-link,
+  html.theme--documenter-dark .is-active.pagination-ellipsis, html.theme--documenter-dark .is-active.file-cta,
+  html.theme--documenter-dark .is-active.file-name, html.theme--documenter-dark .select select.is-active, html.theme--documenter-dark .is-active.textarea, html.theme--documenter-dark .is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .is-active.button {
+    outline: none; }
+  html.theme--documenter-dark .pagination-previous[disabled],
+  html.theme--documenter-dark .pagination-next[disabled],
+  html.theme--documenter-dark .pagination-link[disabled],
+  html.theme--documenter-dark .pagination-ellipsis[disabled], html.theme--documenter-dark .file-cta[disabled],
+  html.theme--documenter-dark .file-name[disabled], html.theme--documenter-dark .select select[disabled], html.theme--documenter-dark .textarea[disabled], html.theme--documenter-dark .input[disabled], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled], html.theme--documenter-dark .button[disabled], fieldset[disabled] html.theme--documenter-dark .pagination-previous, html.theme--documenter-dark fieldset[disabled] .pagination-previous,
+  fieldset[disabled] html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark fieldset[disabled] .pagination-next,
+  fieldset[disabled] html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark fieldset[disabled] .pagination-link,
+  fieldset[disabled] html.theme--documenter-dark .pagination-ellipsis,
+  html.theme--documenter-dark fieldset[disabled] .pagination-ellipsis, fieldset[disabled] html.theme--documenter-dark .file-cta, html.theme--documenter-dark fieldset[disabled] .file-cta,
+  fieldset[disabled] html.theme--documenter-dark .file-name,
+  html.theme--documenter-dark fieldset[disabled] .file-name, fieldset[disabled] html.theme--documenter-dark .select select, fieldset[disabled] html.theme--documenter-dark .textarea, fieldset[disabled] html.theme--documenter-dark .input, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark fieldset[disabled] .select select, html.theme--documenter-dark .select fieldset[disabled] select, html.theme--documenter-dark fieldset[disabled] .textarea, html.theme--documenter-dark fieldset[disabled] .input, html.theme--documenter-dark fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar fieldset[disabled] form.docs-search > input, fieldset[disabled] html.theme--documenter-dark .button, html.theme--documenter-dark fieldset[disabled] .button {
+    cursor: not-allowed; }
+
+/*! minireset.css v0.0.4 | MIT License | github.com/jgthms/minireset.css */
+html,
+body,
+p,
+ol,
+ul,
+li,
+dl,
+dt,
+dd,
+blockquote,
+figure,
+fieldset,
+legend,
+textarea,
+pre,
+iframe,
+hr,
+h1,
+h2,
+h3,
+h4,
+h5,
+h6 {
+  margin: 0;
+  padding: 0; }
+
+h1,
+h2,
+h3,
+h4,
+h5,
+h6 {
+  font-size: 100%;
+  font-weight: normal; }
+
+ul {
+  list-style: none; }
+
+button,
+input,
+select,
+textarea {
+  margin: 0; }
+
+html {
+  box-sizing: border-box; }
+
+*, *::before, *::after {
+  box-sizing: inherit; }
+
+img,
+embed,
+iframe,
+object,
+video {
+  height: auto;
+  max-width: 100%; }
+
+audio {
+  max-width: 100%; }
+
+iframe {
+  border: 0; }
+
+table {
+  border-collapse: collapse;
+  border-spacing: 0; }
+
+td,
+th {
+  padding: 0; }
+  td:not([align]),
+  th:not([align]) {
+    text-align: left; }
+
+.is-clearfix::after {
+  clear: both;
+  content: " ";
+  display: table; }
+
+.is-pulled-left {
+  float: left !important; }
+
+.is-pulled-right {
+  float: right !important; }
+
+.is-clipped {
+  overflow: hidden !important; }
+
+.is-size-1 {
+  font-size: 3rem !important; }
+
+.is-size-2 {
+  font-size: 2.5rem !important; }
+
+.is-size-3 {
+  font-size: 2rem !important; }
+
+.is-size-4 {
+  font-size: 1.5rem !important; }
+
+.is-size-5 {
+  font-size: 1.25rem !important; }
+
+.is-size-6 {
+  font-size: 15px !important; }
+
+.is-size-7, html.theme--documenter-dark .docstring > section > a.docs-sourcelink {
+  font-size: 0.85em !important; }
+
+@media screen and (max-width: 768px) {
+  .is-size-1-mobile {
+    font-size: 3rem !important; }
+  .is-size-2-mobile {
+    font-size: 2.5rem !important; }
+  .is-size-3-mobile {
+    font-size: 2rem !important; }
+  .is-size-4-mobile {
+    font-size: 1.5rem !important; }
+  .is-size-5-mobile {
+    font-size: 1.25rem !important; }
+  .is-size-6-mobile {
+    font-size: 15px !important; }
+  .is-size-7-mobile {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-size-1-tablet {
+    font-size: 3rem !important; }
+  .is-size-2-tablet {
+    font-size: 2.5rem !important; }
+  .is-size-3-tablet {
+    font-size: 2rem !important; }
+  .is-size-4-tablet {
+    font-size: 1.5rem !important; }
+  .is-size-5-tablet {
+    font-size: 1.25rem !important; }
+  .is-size-6-tablet {
+    font-size: 15px !important; }
+  .is-size-7-tablet {
+    font-size: 0.85em !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-size-1-touch {
+    font-size: 3rem !important; }
+  .is-size-2-touch {
+    font-size: 2.5rem !important; }
+  .is-size-3-touch {
+    font-size: 2rem !important; }
+  .is-size-4-touch {
+    font-size: 1.5rem !important; }
+  .is-size-5-touch {
+    font-size: 1.25rem !important; }
+  .is-size-6-touch {
+    font-size: 15px !important; }
+  .is-size-7-touch {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-size-1-desktop {
+    font-size: 3rem !important; }
+  .is-size-2-desktop {
+    font-size: 2.5rem !important; }
+  .is-size-3-desktop {
+    font-size: 2rem !important; }
+  .is-size-4-desktop {
+    font-size: 1.5rem !important; }
+  .is-size-5-desktop {
+    font-size: 1.25rem !important; }
+  .is-size-6-desktop {
+    font-size: 15px !important; }
+  .is-size-7-desktop {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-size-1-widescreen {
+    font-size: 3rem !important; }
+  .is-size-2-widescreen {
+    font-size: 2.5rem !important; }
+  .is-size-3-widescreen {
+    font-size: 2rem !important; }
+  .is-size-4-widescreen {
+    font-size: 1.5rem !important; }
+  .is-size-5-widescreen {
+    font-size: 1.25rem !important; }
+  .is-size-6-widescreen {
+    font-size: 15px !important; }
+  .is-size-7-widescreen {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-size-1-fullhd {
+    font-size: 3rem !important; }
+  .is-size-2-fullhd {
+    font-size: 2.5rem !important; }
+  .is-size-3-fullhd {
+    font-size: 2rem !important; }
+  .is-size-4-fullhd {
+    font-size: 1.5rem !important; }
+  .is-size-5-fullhd {
+    font-size: 1.25rem !important; }
+  .is-size-6-fullhd {
+    font-size: 15px !important; }
+  .is-size-7-fullhd {
+    font-size: 0.85em !important; } }
+
+.has-text-centered {
+  text-align: center !important; }
+
+.has-text-justified {
+  text-align: justify !important; }
+
+.has-text-left {
+  text-align: left !important; }
+
+.has-text-right {
+  text-align: right !important; }
+
+@media screen and (max-width: 768px) {
+  .has-text-centered-mobile {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-centered-tablet {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-centered-tablet-only {
+    text-align: center !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-centered-touch {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-centered-desktop {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-centered-desktop-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-centered-widescreen {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-centered-widescreen-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-centered-fullhd {
+    text-align: center !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-justified-mobile {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-justified-tablet {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-justified-tablet-only {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-justified-touch {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-justified-desktop {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-justified-desktop-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-justified-widescreen {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-justified-widescreen-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-justified-fullhd {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-left-mobile {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-left-tablet {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-left-tablet-only {
+    text-align: left !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-left-touch {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-left-desktop {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-left-desktop-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-left-widescreen {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-left-widescreen-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-left-fullhd {
+    text-align: left !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-right-mobile {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-right-tablet {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-right-tablet-only {
+    text-align: right !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-right-touch {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-right-desktop {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-right-desktop-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-right-widescreen {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-right-widescreen-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-right-fullhd {
+    text-align: right !important; } }
+
+.is-capitalized {
+  text-transform: capitalize !important; }
+
+.is-lowercase {
+  text-transform: lowercase !important; }
+
+.is-uppercase {
+  text-transform: uppercase !important; }
+
+.is-italic {
+  font-style: italic !important; }
+
+.has-text-white {
+  color: white !important; }
+
+a.has-text-white:hover, a.has-text-white:focus {
+  color: #e6e6e6 !important; }
+
+.has-background-white {
+  background-color: white !important; }
+
+.has-text-black {
+  color: #0a0a0a !important; }
+
+a.has-text-black:hover, a.has-text-black:focus {
+  color: black !important; }
+
+.has-background-black {
+  background-color: #0a0a0a !important; }
+
+.has-text-light {
+  color: #ecf0f1 !important; }
+
+a.has-text-light:hover, a.has-text-light:focus {
+  color: #cfd9db !important; }
+
+.has-background-light {
+  background-color: #ecf0f1 !important; }
+
+.has-text-dark {
+  color: #282f2f !important; }
+
+a.has-text-dark:hover, a.has-text-dark:focus {
+  color: #111414 !important; }
+
+.has-background-dark {
+  background-color: #282f2f !important; }
+
+.has-text-primary {
+  color: #375a7f !important; }
+
+a.has-text-primary:hover, a.has-text-primary:focus {
+  color: #28415b !important; }
+
+.has-background-primary {
+  background-color: #375a7f !important; }
+
+.has-text-link {
+  color: #1abc9c !important; }
+
+a.has-text-link:hover, a.has-text-link:focus {
+  color: #148f77 !important; }
+
+.has-background-link {
+  background-color: #1abc9c !important; }
+
+.has-text-info {
+  color: #024c7d !important; }
+
+a.has-text-info:hover, a.has-text-info:focus {
+  color: #012d4b !important; }
+
+.has-background-info {
+  background-color: #024c7d !important; }
+
+.has-text-success {
+  color: #008438 !important; }
+
+a.has-text-success:hover, a.has-text-success:focus {
+  color: #005122 !important; }
+
+.has-background-success {
+  background-color: #008438 !important; }
+
+.has-text-warning {
+  color: #ad8100 !important; }
+
+a.has-text-warning:hover, a.has-text-warning:focus {
+  color: #7a5b00 !important; }
+
+.has-background-warning {
+  background-color: #ad8100 !important; }
+
+.has-text-danger {
+  color: #9e1b0d !important; }
+
+a.has-text-danger:hover, a.has-text-danger:focus {
+  color: #6f1309 !important; }
+
+.has-background-danger {
+  background-color: #9e1b0d !important; }
+
+.has-text-black-bis {
+  color: #121212 !important; }
+
+.has-background-black-bis {
+  background-color: #121212 !important; }
+
+.has-text-black-ter {
+  color: #242424 !important; }
+
+.has-background-black-ter {
+  background-color: #242424 !important; }
+
+.has-text-grey-darker {
+  color: #282f2f !important; }
+
+.has-background-grey-darker {
+  background-color: #282f2f !important; }
+
+.has-text-grey-dark {
+  color: #343c3d !important; }
+
+.has-background-grey-dark {
+  background-color: #343c3d !important; }
+
+.has-text-grey {
+  color: #5e6d6f !important; }
+
+.has-background-grey {
+  background-color: #5e6d6f !important; }
+
+.has-text-grey-light {
+  color: #8c9b9d !important; }
+
+.has-background-grey-light {
+  background-color: #8c9b9d !important; }
+
+.has-text-grey-lighter {
+  color: #dbdee0 !important; }
+
+.has-background-grey-lighter {
+  background-color: #dbdee0 !important; }
+
+.has-text-white-ter {
+  color: #ecf0f1 !important; }
+
+.has-background-white-ter {
+  background-color: #ecf0f1 !important; }
+
+.has-text-white-bis {
+  color: #fafafa !important; }
+
+.has-background-white-bis {
+  background-color: #fafafa !important; }
+
+.has-text-weight-light {
+  font-weight: 300 !important; }
+
+.has-text-weight-normal {
+  font-weight: 400 !important; }
+
+.has-text-weight-medium {
+  font-weight: 500 !important; }
+
+.has-text-weight-semibold {
+  font-weight: 600 !important; }
+
+.has-text-weight-bold {
+  font-weight: 700 !important; }
+
+.is-family-primary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-secondary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-sans-serif {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-monospace {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-family-code {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-block {
+  display: block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-block-mobile {
+    display: block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-block-tablet {
+    display: block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-block-tablet-only {
+    display: block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-block-touch {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-block-desktop {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-block-desktop-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-block-widescreen {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-block-widescreen-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-block-fullhd {
+    display: block !important; } }
+
+.is-flex {
+  display: flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-flex-mobile {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-flex-tablet {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-flex-tablet-only {
+    display: flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-flex-touch {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-flex-desktop {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-flex-desktop-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-flex-widescreen {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-flex-widescreen-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-flex-fullhd {
+    display: flex !important; } }
+
+.is-inline {
+  display: inline !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-mobile {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-tablet {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-tablet-only {
+    display: inline !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-touch {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-desktop {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-desktop-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-widescreen {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-widescreen-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-fullhd {
+    display: inline !important; } }
+
+.is-inline-block {
+  display: inline-block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-block-mobile {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-block-tablet {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-block-tablet-only {
+    display: inline-block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-block-touch {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-block-desktop {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-block-desktop-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-block-widescreen {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-block-widescreen-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-block-fullhd {
+    display: inline-block !important; } }
+
+.is-inline-flex {
+  display: inline-flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-flex-mobile {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-flex-tablet {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-flex-tablet-only {
+    display: inline-flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-flex-touch {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-flex-desktop {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-flex-desktop-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-flex-widescreen {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-flex-widescreen-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-flex-fullhd {
+    display: inline-flex !important; } }
+
+.is-hidden {
+  display: none !important; }
+
+.is-sr-only {
+  border: none !important;
+  clip: rect(0, 0, 0, 0) !important;
+  height: 0.01em !important;
+  overflow: hidden !important;
+  padding: 0 !important;
+  position: absolute !important;
+  white-space: nowrap !important;
+  width: 0.01em !important; }
+
+@media screen and (max-width: 768px) {
+  .is-hidden-mobile {
+    display: none !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-hidden-tablet {
+    display: none !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-hidden-tablet-only {
+    display: none !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-hidden-touch {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-hidden-desktop {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-hidden-desktop-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-hidden-widescreen {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-hidden-widescreen-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-hidden-fullhd {
+    display: none !important; } }
+
+.is-invisible {
+  visibility: hidden !important; }
+
+@media screen and (max-width: 768px) {
+  .is-invisible-mobile {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-invisible-tablet {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-invisible-tablet-only {
+    visibility: hidden !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-invisible-touch {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-invisible-desktop {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-invisible-desktop-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-invisible-widescreen {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-invisible-widescreen-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-invisible-fullhd {
+    visibility: hidden !important; } }
+
+.is-marginless {
+  margin: 0 !important; }
+
+.is-paddingless {
+  padding: 0 !important; }
+
+.is-radiusless {
+  border-radius: 0 !important; }
+
+.is-shadowless {
+  box-shadow: none !important; }
+
+.is-relative {
+  position: relative !important; }
+
+html.theme--documenter-dark {
+  /* This file contain the overall layout.
+ *
+ * The main container is <div> that is identified by id #documenter.
+ */
+  /*!
+  Theme: a11y-dark
+  Author: @ericwbailey
+  Maintainer: @ericwbailey
+
+  Based on the Tomorrow Night Eighties theme: https://github.com/isagalaev/highlight.js/blob/master/src/styles/tomorrow-night-eighties.css
+*/
+  /* Comment */
+  /* Red */
+  /* Orange */
+  /* Yellow */
+  /* Green */
+  /* Blue */
+  /* Purple */ }
+  html.theme--documenter-dark html {
+    background-color: #1f2424;
+    font-size: 16px;
+    -moz-osx-font-smoothing: grayscale;
+    -webkit-font-smoothing: antialiased;
+    min-width: 300px;
+    overflow-x: auto;
+    overflow-y: scroll;
+    text-rendering: optimizeLegibility;
+    text-size-adjust: 100%; }
+  html.theme--documenter-dark article,
+  html.theme--documenter-dark aside,
+  html.theme--documenter-dark figure,
+  html.theme--documenter-dark footer,
+  html.theme--documenter-dark header,
+  html.theme--documenter-dark hgroup,
+  html.theme--documenter-dark section {
+    display: block; }
+  html.theme--documenter-dark body,
+  html.theme--documenter-dark button,
+  html.theme--documenter-dark input,
+  html.theme--documenter-dark select,
+  html.theme--documenter-dark textarea {
+    font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif; }
+  html.theme--documenter-dark code,
+  html.theme--documenter-dark pre {
+    -moz-osx-font-smoothing: auto;
+    -webkit-font-smoothing: auto;
+    font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace; }
+  html.theme--documenter-dark body {
+    color: #fff;
+    font-size: 1em;
+    font-weight: 400;
+    line-height: 1.5; }
+  html.theme--documenter-dark a {
+    color: #1abc9c;
+    cursor: pointer;
+    text-decoration: none; }
+    html.theme--documenter-dark a strong {
+      color: currentColor; }
+    html.theme--documenter-dark a:hover {
+      color: #1dd2af; }
+  html.theme--documenter-dark code {
+    background-color: rgba(255, 255, 255, 0.05);
+    color: #ececec;
+    font-size: 0.875em;
+    font-weight: normal;
+    padding: 0.1em; }
+  html.theme--documenter-dark hr {
+    background-color: #282f2f;
+    border: none;
+    display: block;
+    height: 2px;
+    margin: 1.5rem 0; }
+  html.theme--documenter-dark img {
+    height: auto;
+    max-width: 100%; }
+  html.theme--documenter-dark input[type="checkbox"],
+  html.theme--documenter-dark input[type="radio"] {
+    vertical-align: baseline; }
+  html.theme--documenter-dark small {
+    font-size: 0.875em; }
+  html.theme--documenter-dark span {
+    font-style: inherit;
+    font-weight: inherit; }
+  html.theme--documenter-dark strong {
+    color: #f2f2f2;
+    font-weight: 700; }
+  html.theme--documenter-dark fieldset {
+    border: none; }
+  html.theme--documenter-dark pre {
+    -webkit-overflow-scrolling: touch;
+    background-color: #282f2f;
+    color: #fff;
+    font-size: 0.875em;
+    overflow-x: auto;
+    padding: 1.25rem 1.5rem;
+    white-space: pre;
+    word-wrap: normal; }
+    html.theme--documenter-dark pre code {
+      background-color: transparent;
+      color: currentColor;
+      font-size: 1em;
+      padding: 0; }
+  html.theme--documenter-dark table td,
+  html.theme--documenter-dark table th {
+    vertical-align: top; }
+    html.theme--documenter-dark table td:not([align]),
+    html.theme--documenter-dark table th:not([align]) {
+      text-align: left; }
+  html.theme--documenter-dark table th {
+    color: #f2f2f2; }
+  html.theme--documenter-dark .box {
+    background-color: #343c3d;
+    border-radius: 8px;
+    box-shadow: none;
+    color: #fff;
+    display: block;
+    padding: 1.25rem; }
+  html.theme--documenter-dark a.box:hover, html.theme--documenter-dark a.box:focus {
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px #1abc9c; }
+  html.theme--documenter-dark a.box:active {
+    box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2), 0 0 0 1px #1abc9c; }
+  html.theme--documenter-dark .button {
+    background-color: #282f2f;
+    border-color: #4c5759;
+    border-width: 1px;
+    color: #375a7f;
+    cursor: pointer;
+    justify-content: center;
+    padding-bottom: calc(0.375em - 1px);
+    padding-left: 0.75em;
+    padding-right: 0.75em;
+    padding-top: calc(0.375em - 1px);
+    text-align: center;
+    white-space: nowrap; }
+    html.theme--documenter-dark .button strong {
+      color: inherit; }
+    html.theme--documenter-dark .button .icon, html.theme--documenter-dark .button .icon.is-small, html.theme--documenter-dark .button #documenter .docs-sidebar form.docs-search > input.icon, html.theme--documenter-dark #documenter .docs-sidebar .button form.docs-search > input.icon, html.theme--documenter-dark .button .icon.is-medium, html.theme--documenter-dark .button .icon.is-large {
+      height: 1.5em;
+      width: 1.5em; }
+    html.theme--documenter-dark .button .icon:first-child:not(:last-child) {
+      margin-left: calc(-0.375em - 1px);
+      margin-right: 0.1875em; }
+    html.theme--documenter-dark .button .icon:last-child:not(:first-child) {
+      margin-left: 0.1875em;
+      margin-right: calc(-0.375em - 1px); }
+    html.theme--documenter-dark .button .icon:first-child:last-child {
+      margin-left: calc(-0.375em - 1px);
+      margin-right: calc(-0.375em - 1px); }
+    html.theme--documenter-dark .button:hover, html.theme--documenter-dark .button.is-hovered {
+      border-color: #8c9b9d;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .button:focus, html.theme--documenter-dark .button.is-focused {
+      border-color: #8c9b9d;
+      color: #17a689; }
+      html.theme--documenter-dark .button:focus:not(:active), html.theme--documenter-dark .button.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .button:active, html.theme--documenter-dark .button.is-active {
+      border-color: #343c3d;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .button.is-text {
+      background-color: transparent;
+      border-color: transparent;
+      color: #fff;
+      text-decoration: underline; }
+      html.theme--documenter-dark .button.is-text:hover, html.theme--documenter-dark .button.is-text.is-hovered, html.theme--documenter-dark .button.is-text:focus, html.theme--documenter-dark .button.is-text.is-focused {
+        background-color: #282f2f;
+        color: #f2f2f2; }
+      html.theme--documenter-dark .button.is-text:active, html.theme--documenter-dark .button.is-text.is-active {
+        background-color: #1d2122;
+        color: #f2f2f2; }
+      html.theme--documenter-dark .button.is-text[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-text {
+        background-color: transparent;
+        border-color: transparent;
+        box-shadow: none; }
+    html.theme--documenter-dark .button.is-white {
+      background-color: white;
+      border-color: transparent;
+      color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-white:hover, html.theme--documenter-dark .button.is-white.is-hovered {
+        background-color: #f9f9f9;
+        border-color: transparent;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-white:focus, html.theme--documenter-dark .button.is-white.is-focused {
+        border-color: transparent;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-white:focus:not(:active), html.theme--documenter-dark .button.is-white.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+      html.theme--documenter-dark .button.is-white:active, html.theme--documenter-dark .button.is-white.is-active {
+        background-color: #f2f2f2;
+        border-color: transparent;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-white[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white {
+        background-color: white;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-white.is-inverted {
+        background-color: #0a0a0a;
+        color: white; }
+        html.theme--documenter-dark .button.is-white.is-inverted:hover, html.theme--documenter-dark .button.is-white.is-inverted.is-hovered {
+          background-color: black; }
+        html.theme--documenter-dark .button.is-white.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted {
+          background-color: #0a0a0a;
+          border-color: transparent;
+          box-shadow: none;
+          color: white; }
+      html.theme--documenter-dark .button.is-white.is-loading::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      html.theme--documenter-dark .button.is-white.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        color: white; }
+        html.theme--documenter-dark .button.is-white.is-outlined:hover, html.theme--documenter-dark .button.is-white.is-outlined.is-hovered, html.theme--documenter-dark .button.is-white.is-outlined:focus, html.theme--documenter-dark .button.is-white.is-outlined.is-focused {
+          background-color: white;
+          border-color: white;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-white.is-outlined.is-loading::after {
+          border-color: transparent transparent white white !important; }
+        html.theme--documenter-dark .button.is-white.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+        html.theme--documenter-dark .button.is-white.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-outlined {
+          background-color: transparent;
+          border-color: white;
+          box-shadow: none;
+          color: white; }
+      html.theme--documenter-dark .button.is-white.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-focused {
+          background-color: #0a0a0a;
+          color: white; }
+        html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent white white !important; }
+        html.theme--documenter-dark .button.is-white.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #0a0a0a;
+          box-shadow: none;
+          color: #0a0a0a; }
+    html.theme--documenter-dark .button.is-black {
+      background-color: #0a0a0a;
+      border-color: transparent;
+      color: white; }
+      html.theme--documenter-dark .button.is-black:hover, html.theme--documenter-dark .button.is-black.is-hovered {
+        background-color: #040404;
+        border-color: transparent;
+        color: white; }
+      html.theme--documenter-dark .button.is-black:focus, html.theme--documenter-dark .button.is-black.is-focused {
+        border-color: transparent;
+        color: white; }
+        html.theme--documenter-dark .button.is-black:focus:not(:active), html.theme--documenter-dark .button.is-black.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+      html.theme--documenter-dark .button.is-black:active, html.theme--documenter-dark .button.is-black.is-active {
+        background-color: black;
+        border-color: transparent;
+        color: white; }
+      html.theme--documenter-dark .button.is-black[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black {
+        background-color: #0a0a0a;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-black.is-inverted {
+        background-color: white;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-black.is-inverted:hover, html.theme--documenter-dark .button.is-black.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-black.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted {
+          background-color: white;
+          border-color: transparent;
+          box-shadow: none;
+          color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-black.is-loading::after {
+        border-color: transparent transparent white white !important; }
+      html.theme--documenter-dark .button.is-black.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-black.is-outlined:hover, html.theme--documenter-dark .button.is-black.is-outlined.is-hovered, html.theme--documenter-dark .button.is-black.is-outlined:focus, html.theme--documenter-dark .button.is-black.is-outlined.is-focused {
+          background-color: #0a0a0a;
+          border-color: #0a0a0a;
+          color: white; }
+        html.theme--documenter-dark .button.is-black.is-outlined.is-loading::after {
+          border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+        html.theme--documenter-dark .button.is-black.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent white white !important; }
+        html.theme--documenter-dark .button.is-black.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-outlined {
+          background-color: transparent;
+          border-color: #0a0a0a;
+          box-shadow: none;
+          color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-black.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        color: white; }
+        html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-focused {
+          background-color: white;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+        html.theme--documenter-dark .button.is-black.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: white;
+          box-shadow: none;
+          color: white; }
+    html.theme--documenter-dark .button.is-light {
+      background-color: #ecf0f1;
+      border-color: transparent;
+      color: #282f2f; }
+      html.theme--documenter-dark .button.is-light:hover, html.theme--documenter-dark .button.is-light.is-hovered {
+        background-color: #e5eaec;
+        border-color: transparent;
+        color: #282f2f; }
+      html.theme--documenter-dark .button.is-light:focus, html.theme--documenter-dark .button.is-light.is-focused {
+        border-color: transparent;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-light:focus:not(:active), html.theme--documenter-dark .button.is-light.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); }
+      html.theme--documenter-dark .button.is-light:active, html.theme--documenter-dark .button.is-light.is-active {
+        background-color: #dde4e6;
+        border-color: transparent;
+        color: #282f2f; }
+      html.theme--documenter-dark .button.is-light[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light {
+        background-color: #ecf0f1;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-light.is-inverted {
+        background-color: #282f2f;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-light.is-inverted:hover, html.theme--documenter-dark .button.is-light.is-inverted.is-hovered {
+          background-color: #1d2122; }
+        html.theme--documenter-dark .button.is-light.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted {
+          background-color: #282f2f;
+          border-color: transparent;
+          box-shadow: none;
+          color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-light.is-loading::after {
+        border-color: transparent transparent #282f2f #282f2f !important; }
+      html.theme--documenter-dark .button.is-light.is-outlined {
+        background-color: transparent;
+        border-color: #ecf0f1;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-light.is-outlined:hover, html.theme--documenter-dark .button.is-light.is-outlined.is-hovered, html.theme--documenter-dark .button.is-light.is-outlined:focus, html.theme--documenter-dark .button.is-light.is-outlined.is-focused {
+          background-color: #ecf0f1;
+          border-color: #ecf0f1;
+          color: #282f2f; }
+        html.theme--documenter-dark .button.is-light.is-outlined.is-loading::after {
+          border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+        html.theme--documenter-dark .button.is-light.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #282f2f #282f2f !important; }
+        html.theme--documenter-dark .button.is-light.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-outlined {
+          background-color: transparent;
+          border-color: #ecf0f1;
+          box-shadow: none;
+          color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-light.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #282f2f;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused {
+          background-color: #282f2f;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+        html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #282f2f;
+          box-shadow: none;
+          color: #282f2f; }
+    html.theme--documenter-dark .button.is-dark, html.theme--documenter-dark .content kbd.button {
+      background-color: #282f2f;
+      border-color: transparent;
+      color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-dark:hover, html.theme--documenter-dark .content kbd.button:hover, html.theme--documenter-dark .button.is-dark.is-hovered, html.theme--documenter-dark .content kbd.button.is-hovered {
+        background-color: #232829;
+        border-color: transparent;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-dark:focus, html.theme--documenter-dark .content kbd.button:focus, html.theme--documenter-dark .button.is-dark.is-focused, html.theme--documenter-dark .content kbd.button.is-focused {
+        border-color: transparent;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-dark:focus:not(:active), html.theme--documenter-dark .content kbd.button:focus:not(:active), html.theme--documenter-dark .button.is-dark.is-focused:not(:active), html.theme--documenter-dark .content kbd.button.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); }
+      html.theme--documenter-dark .button.is-dark:active, html.theme--documenter-dark .content kbd.button:active, html.theme--documenter-dark .button.is-dark.is-active, html.theme--documenter-dark .content kbd.button.is-active {
+        background-color: #1d2122;
+        border-color: transparent;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-dark[disabled], html.theme--documenter-dark .content kbd.button[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark, fieldset[disabled] html.theme--documenter-dark .content kbd.button {
+        background-color: #282f2f;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-dark.is-inverted, html.theme--documenter-dark .content kbd.button.is-inverted {
+        background-color: #ecf0f1;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-dark.is-inverted:hover, html.theme--documenter-dark .content kbd.button.is-inverted:hover, html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered, html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered {
+          background-color: #dde4e6; }
+        html.theme--documenter-dark .button.is-dark.is-inverted[disabled], html.theme--documenter-dark .content kbd.button.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted {
+          background-color: #ecf0f1;
+          border-color: transparent;
+          box-shadow: none;
+          color: #282f2f; }
+      html.theme--documenter-dark .button.is-dark.is-loading::after, html.theme--documenter-dark .content kbd.button.is-loading::after {
+        border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+      html.theme--documenter-dark .button.is-dark.is-outlined, html.theme--documenter-dark .content kbd.button.is-outlined {
+        background-color: transparent;
+        border-color: #282f2f;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-dark.is-outlined:hover, html.theme--documenter-dark .content kbd.button.is-outlined:hover, html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered, html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered, html.theme--documenter-dark .button.is-dark.is-outlined:focus, html.theme--documenter-dark .content kbd.button.is-outlined:focus, html.theme--documenter-dark .button.is-dark.is-outlined.is-focused, html.theme--documenter-dark .content kbd.button.is-outlined.is-focused {
+          background-color: #282f2f;
+          border-color: #282f2f;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after {
+          border-color: transparent transparent #282f2f #282f2f !important; }
+        html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+        html.theme--documenter-dark .button.is-dark.is-outlined[disabled], html.theme--documenter-dark .content kbd.button.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined {
+          background-color: transparent;
+          border-color: #282f2f;
+          box-shadow: none;
+          color: #282f2f; }
+      html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #ecf0f1;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused {
+          background-color: #ecf0f1;
+          color: #282f2f; }
+        html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #282f2f #282f2f !important; }
+        html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled], html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #ecf0f1;
+          box-shadow: none;
+          color: #ecf0f1; }
+    html.theme--documenter-dark .button.is-primary, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink {
+      background-color: #375a7f;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-primary:hover, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-hovered.docs-sourcelink {
+        background-color: #335476;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-primary:focus, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-primary:focus:not(:active), html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus:not(:active), html.theme--documenter-dark .button.is-primary.is-focused:not(:active), html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); }
+      html.theme--documenter-dark .button.is-primary:active, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:active, html.theme--documenter-dark .button.is-primary.is-active, html.theme--documenter-dark .docstring > section > a.button.is-active.docs-sourcelink {
+        background-color: #2f4d6d;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-primary[disabled], html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink {
+        background-color: #375a7f;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-primary.is-inverted, html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink {
+        background-color: #fff;
+        color: #375a7f; }
+        html.theme--documenter-dark .button.is-primary.is-inverted:hover, html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-inverted.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-hovered.docs-sourcelink {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-primary.is-inverted[disabled], html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #375a7f; }
+      html.theme--documenter-dark .button.is-primary.is-loading::after, html.theme--documenter-dark .docstring > section > a.button.is-loading.docs-sourcelink::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-primary.is-outlined, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #375a7f;
+        color: #375a7f; }
+        html.theme--documenter-dark .button.is-primary.is-outlined:hover, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-outlined.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-outlined:focus, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-outlined.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-focused.docs-sourcelink {
+          background-color: #375a7f;
+          border-color: #375a7f;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-primary.is-outlined.is-loading::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink::after {
+          border-color: transparent transparent #375a7f #375a7f !important; }
+        html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:hover::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:hover::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:focus::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:focus::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-primary.is-outlined[disabled], html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-outlined, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink {
+          background-color: transparent;
+          border-color: #375a7f;
+          box-shadow: none;
+          color: #375a7f; }
+      html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined:hover, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined:focus, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-focused.docs-sourcelink {
+          background-color: #fff;
+          color: #375a7f; }
+        html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+          border-color: transparent transparent #375a7f #375a7f !important; }
+        html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined[disabled], html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-link {
+      background-color: #1abc9c;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-link:hover, html.theme--documenter-dark .button.is-link.is-hovered {
+        background-color: #18b193;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-link:focus, html.theme--documenter-dark .button.is-link.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-link:focus:not(:active), html.theme--documenter-dark .button.is-link.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+      html.theme--documenter-dark .button.is-link:active, html.theme--documenter-dark .button.is-link.is-active {
+        background-color: #17a689;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-link[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link {
+        background-color: #1abc9c;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-link.is-inverted {
+        background-color: #fff;
+        color: #1abc9c; }
+        html.theme--documenter-dark .button.is-link.is-inverted:hover, html.theme--documenter-dark .button.is-link.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-link.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #1abc9c; }
+      html.theme--documenter-dark .button.is-link.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-link.is-outlined {
+        background-color: transparent;
+        border-color: #1abc9c;
+        color: #1abc9c; }
+        html.theme--documenter-dark .button.is-link.is-outlined:hover, html.theme--documenter-dark .button.is-link.is-outlined.is-hovered, html.theme--documenter-dark .button.is-link.is-outlined:focus, html.theme--documenter-dark .button.is-link.is-outlined.is-focused {
+          background-color: #1abc9c;
+          border-color: #1abc9c;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-link.is-outlined.is-loading::after {
+          border-color: transparent transparent #1abc9c #1abc9c !important; }
+        html.theme--documenter-dark .button.is-link.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-link.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-outlined {
+          background-color: transparent;
+          border-color: #1abc9c;
+          box-shadow: none;
+          color: #1abc9c; }
+      html.theme--documenter-dark .button.is-link.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #1abc9c; }
+        html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #1abc9c #1abc9c !important; }
+        html.theme--documenter-dark .button.is-link.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-info {
+      background-color: #024c7d;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-info:hover, html.theme--documenter-dark .button.is-info.is-hovered {
+        background-color: #024470;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-info:focus, html.theme--documenter-dark .button.is-info.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-info:focus:not(:active), html.theme--documenter-dark .button.is-info.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); }
+      html.theme--documenter-dark .button.is-info:active, html.theme--documenter-dark .button.is-info.is-active {
+        background-color: #023d64;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-info[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info {
+        background-color: #024c7d;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-info.is-inverted {
+        background-color: #fff;
+        color: #024c7d; }
+        html.theme--documenter-dark .button.is-info.is-inverted:hover, html.theme--documenter-dark .button.is-info.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-info.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #024c7d; }
+      html.theme--documenter-dark .button.is-info.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-info.is-outlined {
+        background-color: transparent;
+        border-color: #024c7d;
+        color: #024c7d; }
+        html.theme--documenter-dark .button.is-info.is-outlined:hover, html.theme--documenter-dark .button.is-info.is-outlined.is-hovered, html.theme--documenter-dark .button.is-info.is-outlined:focus, html.theme--documenter-dark .button.is-info.is-outlined.is-focused {
+          background-color: #024c7d;
+          border-color: #024c7d;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-info.is-outlined.is-loading::after {
+          border-color: transparent transparent #024c7d #024c7d !important; }
+        html.theme--documenter-dark .button.is-info.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-info.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-outlined {
+          background-color: transparent;
+          border-color: #024c7d;
+          box-shadow: none;
+          color: #024c7d; }
+      html.theme--documenter-dark .button.is-info.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #024c7d; }
+        html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #024c7d #024c7d !important; }
+        html.theme--documenter-dark .button.is-info.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-success {
+      background-color: #008438;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-success:hover, html.theme--documenter-dark .button.is-success.is-hovered {
+        background-color: #007733;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-success:focus, html.theme--documenter-dark .button.is-success.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-success:focus:not(:active), html.theme--documenter-dark .button.is-success.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); }
+      html.theme--documenter-dark .button.is-success:active, html.theme--documenter-dark .button.is-success.is-active {
+        background-color: #006b2d;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-success[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success {
+        background-color: #008438;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-success.is-inverted {
+        background-color: #fff;
+        color: #008438; }
+        html.theme--documenter-dark .button.is-success.is-inverted:hover, html.theme--documenter-dark .button.is-success.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-success.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #008438; }
+      html.theme--documenter-dark .button.is-success.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-success.is-outlined {
+        background-color: transparent;
+        border-color: #008438;
+        color: #008438; }
+        html.theme--documenter-dark .button.is-success.is-outlined:hover, html.theme--documenter-dark .button.is-success.is-outlined.is-hovered, html.theme--documenter-dark .button.is-success.is-outlined:focus, html.theme--documenter-dark .button.is-success.is-outlined.is-focused {
+          background-color: #008438;
+          border-color: #008438;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-success.is-outlined.is-loading::after {
+          border-color: transparent transparent #008438 #008438 !important; }
+        html.theme--documenter-dark .button.is-success.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-success.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-outlined {
+          background-color: transparent;
+          border-color: #008438;
+          box-shadow: none;
+          color: #008438; }
+      html.theme--documenter-dark .button.is-success.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #008438; }
+        html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #008438 #008438 !important; }
+        html.theme--documenter-dark .button.is-success.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-warning {
+      background-color: #ad8100;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-warning:hover, html.theme--documenter-dark .button.is-warning.is-hovered {
+        background-color: #a07700;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-warning:focus, html.theme--documenter-dark .button.is-warning.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-warning:focus:not(:active), html.theme--documenter-dark .button.is-warning.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); }
+      html.theme--documenter-dark .button.is-warning:active, html.theme--documenter-dark .button.is-warning.is-active {
+        background-color: #946e00;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-warning[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning {
+        background-color: #ad8100;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-warning.is-inverted {
+        background-color: #fff;
+        color: #ad8100; }
+        html.theme--documenter-dark .button.is-warning.is-inverted:hover, html.theme--documenter-dark .button.is-warning.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-warning.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #ad8100; }
+      html.theme--documenter-dark .button.is-warning.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-warning.is-outlined {
+        background-color: transparent;
+        border-color: #ad8100;
+        color: #ad8100; }
+        html.theme--documenter-dark .button.is-warning.is-outlined:hover, html.theme--documenter-dark .button.is-warning.is-outlined.is-hovered, html.theme--documenter-dark .button.is-warning.is-outlined:focus, html.theme--documenter-dark .button.is-warning.is-outlined.is-focused {
+          background-color: #ad8100;
+          border-color: #ad8100;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-warning.is-outlined.is-loading::after {
+          border-color: transparent transparent #ad8100 #ad8100 !important; }
+        html.theme--documenter-dark .button.is-warning.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-warning.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-outlined {
+          background-color: transparent;
+          border-color: #ad8100;
+          box-shadow: none;
+          color: #ad8100; }
+      html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #ad8100; }
+        html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #ad8100 #ad8100 !important; }
+        html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-danger {
+      background-color: #9e1b0d;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-danger:hover, html.theme--documenter-dark .button.is-danger.is-hovered {
+        background-color: #92190c;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-danger:focus, html.theme--documenter-dark .button.is-danger.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-danger:focus:not(:active), html.theme--documenter-dark .button.is-danger.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); }
+      html.theme--documenter-dark .button.is-danger:active, html.theme--documenter-dark .button.is-danger.is-active {
+        background-color: #86170b;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-danger[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger {
+        background-color: #9e1b0d;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-danger.is-inverted {
+        background-color: #fff;
+        color: #9e1b0d; }
+        html.theme--documenter-dark .button.is-danger.is-inverted:hover, html.theme--documenter-dark .button.is-danger.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-danger.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #9e1b0d; }
+      html.theme--documenter-dark .button.is-danger.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-danger.is-outlined {
+        background-color: transparent;
+        border-color: #9e1b0d;
+        color: #9e1b0d; }
+        html.theme--documenter-dark .button.is-danger.is-outlined:hover, html.theme--documenter-dark .button.is-danger.is-outlined.is-hovered, html.theme--documenter-dark .button.is-danger.is-outlined:focus, html.theme--documenter-dark .button.is-danger.is-outlined.is-focused {
+          background-color: #9e1b0d;
+          border-color: #9e1b0d;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-danger.is-outlined.is-loading::after {
+          border-color: transparent transparent #9e1b0d #9e1b0d !important; }
+        html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-danger.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-outlined {
+          background-color: transparent;
+          border-color: #9e1b0d;
+          box-shadow: none;
+          color: #9e1b0d; }
+      html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #9e1b0d; }
+        html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #9e1b0d #9e1b0d !important; }
+        html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.button {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .button.is-normal {
+      font-size: 15px; }
+    html.theme--documenter-dark .button.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .button.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .button[disabled], fieldset[disabled] html.theme--documenter-dark .button {
+      background-color: #8c9b9d;
+      border-color: #dbdee0;
+      box-shadow: none;
+      opacity: 0.5; }
+    html.theme--documenter-dark .button.is-fullwidth {
+      display: flex;
+      width: 100%; }
+    html.theme--documenter-dark .button.is-loading {
+      color: transparent !important;
+      pointer-events: none; }
+      html.theme--documenter-dark .button.is-loading::after {
+        position: absolute;
+        left: calc(50% - (1em / 2));
+        top: calc(50% - (1em / 2));
+        position: absolute !important; }
+    html.theme--documenter-dark .button.is-static {
+      background-color: #282f2f;
+      border-color: #5e6d6f;
+      color: #dbdee0;
+      box-shadow: none;
+      pointer-events: none; }
+    html.theme--documenter-dark .button.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.button {
+      border-radius: 290486px;
+      padding-left: 1em;
+      padding-right: 1em; }
+  html.theme--documenter-dark .buttons {
+    align-items: center;
+    display: flex;
+    flex-wrap: wrap;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .buttons .button {
+      margin-bottom: 0.5rem; }
+      html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth) {
+        margin-right: 0.5rem; }
+    html.theme--documenter-dark .buttons:last-child {
+      margin-bottom: -0.5rem; }
+    html.theme--documenter-dark .buttons:not(:last-child) {
+      margin-bottom: 1rem; }
+    html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large) {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large) {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium) {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .buttons.has-addons .button:not(:first-child) {
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    html.theme--documenter-dark .buttons.has-addons .button:not(:last-child) {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0;
+      margin-right: -1px; }
+    html.theme--documenter-dark .buttons.has-addons .button:last-child {
+      margin-right: 0; }
+    html.theme--documenter-dark .buttons.has-addons .button:hover, html.theme--documenter-dark .buttons.has-addons .button.is-hovered {
+      z-index: 2; }
+    html.theme--documenter-dark .buttons.has-addons .button:focus, html.theme--documenter-dark .buttons.has-addons .button.is-focused, html.theme--documenter-dark .buttons.has-addons .button:active, html.theme--documenter-dark .buttons.has-addons .button.is-active, html.theme--documenter-dark .buttons.has-addons .button.is-selected {
+      z-index: 3; }
+      html.theme--documenter-dark .buttons.has-addons .button:focus:hover, html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover, html.theme--documenter-dark .buttons.has-addons .button:active:hover, html.theme--documenter-dark .buttons.has-addons .button.is-active:hover, html.theme--documenter-dark .buttons.has-addons .button.is-selected:hover {
+        z-index: 4; }
+    html.theme--documenter-dark .buttons.has-addons .button.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .buttons.is-centered {
+      justify-content: center; }
+      html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth) {
+        margin-left: 0.25rem;
+        margin-right: 0.25rem; }
+    html.theme--documenter-dark .buttons.is-right {
+      justify-content: flex-end; }
+      html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth) {
+        margin-left: 0.25rem;
+        margin-right: 0.25rem; }
+  html.theme--documenter-dark .container {
+    flex-grow: 1;
+    margin: 0 auto;
+    position: relative;
+    width: auto; }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .container {
+        max-width: 992px; }
+        html.theme--documenter-dark .container.is-fluid {
+          margin-left: 32px;
+          margin-right: 32px;
+          max-width: none; } }
+    @media screen and (max-width: 1215px) {
+      html.theme--documenter-dark .container.is-widescreen {
+        max-width: 1152px; } }
+    @media screen and (max-width: 1407px) {
+      html.theme--documenter-dark .container.is-fullhd {
+        max-width: 1344px; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .container {
+        max-width: 1152px; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .container {
+        max-width: 1344px; } }
+  html.theme--documenter-dark .content li + li {
+    margin-top: 0.25em; }
+  html.theme--documenter-dark .content p:not(:last-child),
+  html.theme--documenter-dark .content dl:not(:last-child),
+  html.theme--documenter-dark .content ol:not(:last-child),
+  html.theme--documenter-dark .content ul:not(:last-child),
+  html.theme--documenter-dark .content blockquote:not(:last-child),
+  html.theme--documenter-dark .content pre:not(:last-child),
+  html.theme--documenter-dark .content table:not(:last-child) {
+    margin-bottom: 1em; }
+  html.theme--documenter-dark .content h1,
+  html.theme--documenter-dark .content h2,
+  html.theme--documenter-dark .content h3,
+  html.theme--documenter-dark .content h4,
+  html.theme--documenter-dark .content h5,
+  html.theme--documenter-dark .content h6 {
+    color: #f2f2f2;
+    font-weight: 600;
+    line-height: 1.125; }
+  html.theme--documenter-dark .content h1 {
+    font-size: 2em;
+    margin-bottom: 0.5em; }
+    html.theme--documenter-dark .content h1:not(:first-child) {
+      margin-top: 1em; }
+  html.theme--documenter-dark .content h2 {
+    font-size: 1.75em;
+    margin-bottom: 0.5714em; }
+    html.theme--documenter-dark .content h2:not(:first-child) {
+      margin-top: 1.1428em; }
+  html.theme--documenter-dark .content h3 {
+    font-size: 1.5em;
+    margin-bottom: 0.6666em; }
+    html.theme--documenter-dark .content h3:not(:first-child) {
+      margin-top: 1.3333em; }
+  html.theme--documenter-dark .content h4 {
+    font-size: 1.25em;
+    margin-bottom: 0.8em; }
+  html.theme--documenter-dark .content h5 {
+    font-size: 1.125em;
+    margin-bottom: 0.8888em; }
+  html.theme--documenter-dark .content h6 {
+    font-size: 1em;
+    margin-bottom: 1em; }
+  html.theme--documenter-dark .content blockquote {
+    background-color: #282f2f;
+    border-left: 5px solid #5e6d6f;
+    padding: 1.25em 1.5em; }
+  html.theme--documenter-dark .content ol {
+    list-style-position: outside;
+    margin-left: 2em;
+    margin-top: 1em; }
+    html.theme--documenter-dark .content ol:not([type]) {
+      list-style-type: decimal; }
+      html.theme--documenter-dark .content ol.is-lower-alpha:not([type]) {
+        list-style-type: lower-alpha; }
+      html.theme--documenter-dark .content ol.is-lower-roman:not([type]) {
+        list-style-type: lower-roman; }
+      html.theme--documenter-dark .content ol.is-upper-alpha:not([type]) {
+        list-style-type: upper-alpha; }
+      html.theme--documenter-dark .content ol.is-upper-roman:not([type]) {
+        list-style-type: upper-roman; }
+  html.theme--documenter-dark .content ul {
+    list-style: disc outside;
+    margin-left: 2em;
+    margin-top: 1em; }
+    html.theme--documenter-dark .content ul ul {
+      list-style-type: circle;
+      margin-top: 0.5em; }
+      html.theme--documenter-dark .content ul ul ul {
+        list-style-type: square; }
+  html.theme--documenter-dark .content dd {
+    margin-left: 2em; }
+  html.theme--documenter-dark .content figure {
+    margin-left: 2em;
+    margin-right: 2em;
+    text-align: center; }
+    html.theme--documenter-dark .content figure:not(:first-child) {
+      margin-top: 2em; }
+    html.theme--documenter-dark .content figure:not(:last-child) {
+      margin-bottom: 2em; }
+    html.theme--documenter-dark .content figure img {
+      display: inline-block; }
+    html.theme--documenter-dark .content figure figcaption {
+      font-style: italic; }
+  html.theme--documenter-dark .content pre {
+    -webkit-overflow-scrolling: touch;
+    overflow-x: auto;
+    padding: 0;
+    white-space: pre;
+    word-wrap: normal; }
+  html.theme--documenter-dark .content sup,
+  html.theme--documenter-dark .content sub {
+    font-size: 75%; }
+  html.theme--documenter-dark .content table {
+    width: 100%; }
+    html.theme--documenter-dark .content table td,
+    html.theme--documenter-dark .content table th {
+      border: 1px solid #5e6d6f;
+      border-width: 0 0 1px;
+      padding: 0.5em 0.75em;
+      vertical-align: top; }
+    html.theme--documenter-dark .content table th {
+      color: #f2f2f2; }
+      html.theme--documenter-dark .content table th:not([align]) {
+        text-align: left; }
+    html.theme--documenter-dark .content table thead td,
+    html.theme--documenter-dark .content table thead th {
+      border-width: 0 0 2px;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .content table tfoot td,
+    html.theme--documenter-dark .content table tfoot th {
+      border-width: 2px 0 0;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .content table tbody tr:last-child td,
+    html.theme--documenter-dark .content table tbody tr:last-child th {
+      border-bottom-width: 0; }
+  html.theme--documenter-dark .content .tabs li + li {
+    margin-top: 0; }
+  html.theme--documenter-dark .content.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.content {
+    font-size: 0.85em; }
+  html.theme--documenter-dark .content.is-medium {
+    font-size: 1.25rem; }
+  html.theme--documenter-dark .content.is-large {
+    font-size: 1.5rem; }
+  html.theme--documenter-dark .icon {
+    align-items: center;
+    display: inline-flex;
+    justify-content: center;
+    height: 1.5rem;
+    width: 1.5rem; }
+    html.theme--documenter-dark .icon.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.icon {
+      height: 1rem;
+      width: 1rem; }
+    html.theme--documenter-dark .icon.is-medium {
+      height: 2rem;
+      width: 2rem; }
+    html.theme--documenter-dark .icon.is-large {
+      height: 3rem;
+      width: 3rem; }
+  html.theme--documenter-dark .image, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img {
+    display: block;
+    position: relative; }
+    html.theme--documenter-dark .image img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img img {
+      display: block;
+      height: auto;
+      width: 100%; }
+      html.theme--documenter-dark .image img.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img img.is-rounded {
+        border-radius: 290486px; }
+    html.theme--documenter-dark .image.is-square img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square img,
+    html.theme--documenter-dark .image.is-square .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, html.theme--documenter-dark .image.is-1by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+    html.theme--documenter-dark .image.is-1by1 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, html.theme--documenter-dark .image.is-5by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+    html.theme--documenter-dark .image.is-5by4 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, html.theme--documenter-dark .image.is-4by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+    html.theme--documenter-dark .image.is-4by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, html.theme--documenter-dark .image.is-3by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+    html.theme--documenter-dark .image.is-3by2 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, html.theme--documenter-dark .image.is-5by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+    html.theme--documenter-dark .image.is-5by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, html.theme--documenter-dark .image.is-16by9 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+    html.theme--documenter-dark .image.is-16by9 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, html.theme--documenter-dark .image.is-2by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+    html.theme--documenter-dark .image.is-2by1 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, html.theme--documenter-dark .image.is-3by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+    html.theme--documenter-dark .image.is-3by1 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, html.theme--documenter-dark .image.is-4by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+    html.theme--documenter-dark .image.is-4by5 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, html.theme--documenter-dark .image.is-3by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+    html.theme--documenter-dark .image.is-3by4 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, html.theme--documenter-dark .image.is-2by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+    html.theme--documenter-dark .image.is-2by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, html.theme--documenter-dark .image.is-3by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+    html.theme--documenter-dark .image.is-3by5 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, html.theme--documenter-dark .image.is-9by16 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+    html.theme--documenter-dark .image.is-9by16 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, html.theme--documenter-dark .image.is-1by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+    html.theme--documenter-dark .image.is-1by2 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, html.theme--documenter-dark .image.is-1by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+    html.theme--documenter-dark .image.is-1by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio {
+      height: 100%;
+      width: 100%; }
+    html.theme--documenter-dark .image.is-square, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square, html.theme--documenter-dark .image.is-1by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 {
+      padding-top: 100%; }
+    html.theme--documenter-dark .image.is-5by4, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 {
+      padding-top: 80%; }
+    html.theme--documenter-dark .image.is-4by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 {
+      padding-top: 75%; }
+    html.theme--documenter-dark .image.is-3by2, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 {
+      padding-top: 66.6666%; }
+    html.theme--documenter-dark .image.is-5by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 {
+      padding-top: 60%; }
+    html.theme--documenter-dark .image.is-16by9, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 {
+      padding-top: 56.25%; }
+    html.theme--documenter-dark .image.is-2by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 {
+      padding-top: 50%; }
+    html.theme--documenter-dark .image.is-3by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 {
+      padding-top: 33.3333%; }
+    html.theme--documenter-dark .image.is-4by5, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 {
+      padding-top: 125%; }
+    html.theme--documenter-dark .image.is-3by4, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 {
+      padding-top: 133.3333%; }
+    html.theme--documenter-dark .image.is-2by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 {
+      padding-top: 150%; }
+    html.theme--documenter-dark .image.is-3by5, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 {
+      padding-top: 166.6666%; }
+    html.theme--documenter-dark .image.is-9by16, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 {
+      padding-top: 177.7777%; }
+    html.theme--documenter-dark .image.is-1by2, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 {
+      padding-top: 200%; }
+    html.theme--documenter-dark .image.is-1by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 {
+      padding-top: 300%; }
+    html.theme--documenter-dark .image.is-16x16, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16x16 {
+      height: 16px;
+      width: 16px; }
+    html.theme--documenter-dark .image.is-24x24, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-24x24 {
+      height: 24px;
+      width: 24px; }
+    html.theme--documenter-dark .image.is-32x32, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-32x32 {
+      height: 32px;
+      width: 32px; }
+    html.theme--documenter-dark .image.is-48x48, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-48x48 {
+      height: 48px;
+      width: 48px; }
+    html.theme--documenter-dark .image.is-64x64, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-64x64 {
+      height: 64px;
+      width: 64px; }
+    html.theme--documenter-dark .image.is-96x96, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-96x96 {
+      height: 96px;
+      width: 96px; }
+    html.theme--documenter-dark .image.is-128x128, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-128x128 {
+      height: 128px;
+      width: 128px; }
+  html.theme--documenter-dark .notification {
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    padding: 1.25rem 2.5rem 1.25rem 1.5rem;
+    position: relative; }
+    html.theme--documenter-dark .notification a:not(.button):not(.dropdown-item) {
+      color: currentColor;
+      text-decoration: underline; }
+    html.theme--documenter-dark .notification strong {
+      color: currentColor; }
+    html.theme--documenter-dark .notification code,
+    html.theme--documenter-dark .notification pre {
+      background: white; }
+    html.theme--documenter-dark .notification pre code {
+      background: transparent; }
+    html.theme--documenter-dark .notification > .delete {
+      position: absolute;
+      right: 0.5rem;
+      top: 0.5rem; }
+    html.theme--documenter-dark .notification .title,
+    html.theme--documenter-dark .notification .subtitle,
+    html.theme--documenter-dark .notification .content {
+      color: currentColor; }
+    html.theme--documenter-dark .notification.is-white {
+      background-color: white;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .notification.is-black {
+      background-color: #0a0a0a;
+      color: white; }
+    html.theme--documenter-dark .notification.is-light {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+    html.theme--documenter-dark .notification.is-dark, html.theme--documenter-dark .content kbd.notification {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .notification.is-primary, html.theme--documenter-dark .docstring > section > a.notification.docs-sourcelink {
+      background-color: #375a7f;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-link {
+      background-color: #1abc9c;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-info {
+      background-color: #024c7d;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-success {
+      background-color: #008438;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-warning {
+      background-color: #ad8100;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-danger {
+      background-color: #9e1b0d;
+      color: #fff; }
+  html.theme--documenter-dark .progress {
+    -moz-appearance: none;
+    -webkit-appearance: none;
+    border: none;
+    border-radius: 290486px;
+    display: block;
+    height: 15px;
+    overflow: hidden;
+    padding: 0;
+    width: 100%; }
+    html.theme--documenter-dark .progress::-webkit-progress-bar {
+      background-color: #5e6d6f; }
+    html.theme--documenter-dark .progress::-webkit-progress-value {
+      background-color: #dbdee0; }
+    html.theme--documenter-dark .progress::-moz-progress-bar {
+      background-color: #dbdee0; }
+    html.theme--documenter-dark .progress::-ms-fill {
+      background-color: #dbdee0;
+      border: none; }
+    html.theme--documenter-dark .progress.is-white::-webkit-progress-value {
+      background-color: white; }
+    html.theme--documenter-dark .progress.is-white::-moz-progress-bar {
+      background-color: white; }
+    html.theme--documenter-dark .progress.is-white::-ms-fill {
+      background-color: white; }
+    html.theme--documenter-dark .progress.is-white:indeterminate {
+      background-image: linear-gradient(to right, white 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-black::-webkit-progress-value {
+      background-color: #0a0a0a; }
+    html.theme--documenter-dark .progress.is-black::-moz-progress-bar {
+      background-color: #0a0a0a; }
+    html.theme--documenter-dark .progress.is-black::-ms-fill {
+      background-color: #0a0a0a; }
+    html.theme--documenter-dark .progress.is-black:indeterminate {
+      background-image: linear-gradient(to right, #0a0a0a 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-light::-webkit-progress-value {
+      background-color: #ecf0f1; }
+    html.theme--documenter-dark .progress.is-light::-moz-progress-bar {
+      background-color: #ecf0f1; }
+    html.theme--documenter-dark .progress.is-light::-ms-fill {
+      background-color: #ecf0f1; }
+    html.theme--documenter-dark .progress.is-light:indeterminate {
+      background-image: linear-gradient(to right, #ecf0f1 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-dark::-webkit-progress-value, html.theme--documenter-dark .content kbd.progress::-webkit-progress-value {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .progress.is-dark::-moz-progress-bar, html.theme--documenter-dark .content kbd.progress::-moz-progress-bar {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .progress.is-dark::-ms-fill, html.theme--documenter-dark .content kbd.progress::-ms-fill {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .progress.is-dark:indeterminate, html.theme--documenter-dark .content kbd.progress:indeterminate {
+      background-image: linear-gradient(to right, #282f2f 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-primary::-webkit-progress-value, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-webkit-progress-value {
+      background-color: #375a7f; }
+    html.theme--documenter-dark .progress.is-primary::-moz-progress-bar, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-moz-progress-bar {
+      background-color: #375a7f; }
+    html.theme--documenter-dark .progress.is-primary::-ms-fill, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-ms-fill {
+      background-color: #375a7f; }
+    html.theme--documenter-dark .progress.is-primary:indeterminate, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink:indeterminate {
+      background-image: linear-gradient(to right, #375a7f 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-link::-webkit-progress-value {
+      background-color: #1abc9c; }
+    html.theme--documenter-dark .progress.is-link::-moz-progress-bar {
+      background-color: #1abc9c; }
+    html.theme--documenter-dark .progress.is-link::-ms-fill {
+      background-color: #1abc9c; }
+    html.theme--documenter-dark .progress.is-link:indeterminate {
+      background-image: linear-gradient(to right, #1abc9c 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-info::-webkit-progress-value {
+      background-color: #024c7d; }
+    html.theme--documenter-dark .progress.is-info::-moz-progress-bar {
+      background-color: #024c7d; }
+    html.theme--documenter-dark .progress.is-info::-ms-fill {
+      background-color: #024c7d; }
+    html.theme--documenter-dark .progress.is-info:indeterminate {
+      background-image: linear-gradient(to right, #024c7d 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-success::-webkit-progress-value {
+      background-color: #008438; }
+    html.theme--documenter-dark .progress.is-success::-moz-progress-bar {
+      background-color: #008438; }
+    html.theme--documenter-dark .progress.is-success::-ms-fill {
+      background-color: #008438; }
+    html.theme--documenter-dark .progress.is-success:indeterminate {
+      background-image: linear-gradient(to right, #008438 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-warning::-webkit-progress-value {
+      background-color: #ad8100; }
+    html.theme--documenter-dark .progress.is-warning::-moz-progress-bar {
+      background-color: #ad8100; }
+    html.theme--documenter-dark .progress.is-warning::-ms-fill {
+      background-color: #ad8100; }
+    html.theme--documenter-dark .progress.is-warning:indeterminate {
+      background-image: linear-gradient(to right, #ad8100 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-danger::-webkit-progress-value {
+      background-color: #9e1b0d; }
+    html.theme--documenter-dark .progress.is-danger::-moz-progress-bar {
+      background-color: #9e1b0d; }
+    html.theme--documenter-dark .progress.is-danger::-ms-fill {
+      background-color: #9e1b0d; }
+    html.theme--documenter-dark .progress.is-danger:indeterminate {
+      background-image: linear-gradient(to right, #9e1b0d 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress:indeterminate {
+      animation-duration: 1.5s;
+      animation-iteration-count: infinite;
+      animation-name: moveIndeterminate;
+      animation-timing-function: linear;
+      background-color: #5e6d6f;
+      background-image: linear-gradient(to right, #fff 30%, #5e6d6f 30%);
+      background-position: top left;
+      background-repeat: no-repeat;
+      background-size: 150% 150%; }
+      html.theme--documenter-dark .progress:indeterminate::-webkit-progress-bar {
+        background-color: transparent; }
+      html.theme--documenter-dark .progress:indeterminate::-moz-progress-bar {
+        background-color: transparent; }
+    html.theme--documenter-dark .progress.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.progress {
+      height: 0.85em; }
+    html.theme--documenter-dark .progress.is-medium {
+      height: 1.25rem; }
+    html.theme--documenter-dark .progress.is-large {
+      height: 1.5rem; }
+
+@keyframes moveIndeterminate {
+  from {
+    background-position: 200% 0; }
+  to {
+    background-position: -200% 0; } }
+  html.theme--documenter-dark .table {
+    background-color: #343c3d;
+    color: #fff; }
+    html.theme--documenter-dark .table td,
+    html.theme--documenter-dark .table th {
+      border: 1px solid #5e6d6f;
+      border-width: 0 0 1px;
+      padding: 0.5em 0.75em;
+      vertical-align: top; }
+      html.theme--documenter-dark .table td.is-white,
+      html.theme--documenter-dark .table th.is-white {
+        background-color: white;
+        border-color: white;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .table td.is-black,
+      html.theme--documenter-dark .table th.is-black {
+        background-color: #0a0a0a;
+        border-color: #0a0a0a;
+        color: white; }
+      html.theme--documenter-dark .table td.is-light,
+      html.theme--documenter-dark .table th.is-light {
+        background-color: #ecf0f1;
+        border-color: #ecf0f1;
+        color: #282f2f; }
+      html.theme--documenter-dark .table td.is-dark,
+      html.theme--documenter-dark .table th.is-dark {
+        background-color: #282f2f;
+        border-color: #282f2f;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .table td.is-primary,
+      html.theme--documenter-dark .table th.is-primary {
+        background-color: #375a7f;
+        border-color: #375a7f;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-link,
+      html.theme--documenter-dark .table th.is-link {
+        background-color: #1abc9c;
+        border-color: #1abc9c;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-info,
+      html.theme--documenter-dark .table th.is-info {
+        background-color: #024c7d;
+        border-color: #024c7d;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-success,
+      html.theme--documenter-dark .table th.is-success {
+        background-color: #008438;
+        border-color: #008438;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-warning,
+      html.theme--documenter-dark .table th.is-warning {
+        background-color: #ad8100;
+        border-color: #ad8100;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-danger,
+      html.theme--documenter-dark .table th.is-danger {
+        background-color: #9e1b0d;
+        border-color: #9e1b0d;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-narrow,
+      html.theme--documenter-dark .table th.is-narrow {
+        white-space: nowrap;
+        width: 1%; }
+      html.theme--documenter-dark .table td.is-selected,
+      html.theme--documenter-dark .table th.is-selected {
+        background-color: #375a7f;
+        color: #fff; }
+        html.theme--documenter-dark .table td.is-selected a,
+        html.theme--documenter-dark .table td.is-selected strong,
+        html.theme--documenter-dark .table th.is-selected a,
+        html.theme--documenter-dark .table th.is-selected strong {
+          color: currentColor; }
+    html.theme--documenter-dark .table th {
+      color: #f2f2f2; }
+      html.theme--documenter-dark .table th:not([align]) {
+        text-align: left; }
+    html.theme--documenter-dark .table tr.is-selected {
+      background-color: #375a7f;
+      color: #fff; }
+      html.theme--documenter-dark .table tr.is-selected a,
+      html.theme--documenter-dark .table tr.is-selected strong {
+        color: currentColor; }
+      html.theme--documenter-dark .table tr.is-selected td,
+      html.theme--documenter-dark .table tr.is-selected th {
+        border-color: #fff;
+        color: currentColor; }
+    html.theme--documenter-dark .table thead {
+      background-color: transparent; }
+      html.theme--documenter-dark .table thead td,
+      html.theme--documenter-dark .table thead th {
+        border-width: 0 0 2px;
+        color: #f2f2f2; }
+    html.theme--documenter-dark .table tfoot {
+      background-color: transparent; }
+      html.theme--documenter-dark .table tfoot td,
+      html.theme--documenter-dark .table tfoot th {
+        border-width: 2px 0 0;
+        color: #f2f2f2; }
+    html.theme--documenter-dark .table tbody {
+      background-color: transparent; }
+      html.theme--documenter-dark .table tbody tr:last-child td,
+      html.theme--documenter-dark .table tbody tr:last-child th {
+        border-bottom-width: 0; }
+    html.theme--documenter-dark .table.is-bordered td,
+    html.theme--documenter-dark .table.is-bordered th {
+      border-width: 1px; }
+    html.theme--documenter-dark .table.is-bordered tr:last-child td,
+    html.theme--documenter-dark .table.is-bordered tr:last-child th {
+      border-bottom-width: 1px; }
+    html.theme--documenter-dark .table.is-fullwidth {
+      width: 100%; }
+    html.theme--documenter-dark .table.is-hoverable tbody tr:not(.is-selected):hover {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover {
+      background-color: #282f2f; }
+      html.theme--documenter-dark .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover:nth-child(even) {
+        background-color: #2d3435; }
+    html.theme--documenter-dark .table.is-narrow td,
+    html.theme--documenter-dark .table.is-narrow th {
+      padding: 0.25em 0.5em; }
+    html.theme--documenter-dark .table.is-striped tbody tr:not(.is-selected):nth-child(even) {
+      background-color: #282f2f; }
+  html.theme--documenter-dark .table-container {
+    -webkit-overflow-scrolling: touch;
+    overflow: auto;
+    overflow-y: hidden;
+    max-width: 100%; }
+  html.theme--documenter-dark .tags {
+    align-items: center;
+    display: flex;
+    flex-wrap: wrap;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .tags .tag, html.theme--documenter-dark .tags .content kbd, html.theme--documenter-dark .content .tags kbd, html.theme--documenter-dark .tags .docstring > section > a.docs-sourcelink {
+      margin-bottom: 0.5rem; }
+      html.theme--documenter-dark .tags .tag:not(:last-child), html.theme--documenter-dark .tags .content kbd:not(:last-child), html.theme--documenter-dark .content .tags kbd:not(:last-child), html.theme--documenter-dark .tags .docstring > section > a.docs-sourcelink:not(:last-child) {
+        margin-right: 0.5rem; }
+    html.theme--documenter-dark .tags:last-child {
+      margin-bottom: -0.5rem; }
+    html.theme--documenter-dark .tags:not(:last-child) {
+      margin-bottom: 1rem; }
+    html.theme--documenter-dark .tags.are-medium .tag:not(.is-normal):not(.is-large), html.theme--documenter-dark .tags.are-medium .content kbd:not(.is-normal):not(.is-large), html.theme--documenter-dark .content .tags.are-medium kbd:not(.is-normal):not(.is-large), html.theme--documenter-dark .tags.are-medium .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-large) {
+      font-size: 15px; }
+    html.theme--documenter-dark .tags.are-large .tag:not(.is-normal):not(.is-medium), html.theme--documenter-dark .tags.are-large .content kbd:not(.is-normal):not(.is-medium), html.theme--documenter-dark .content .tags.are-large kbd:not(.is-normal):not(.is-medium), html.theme--documenter-dark .tags.are-large .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-medium) {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .tags.is-centered {
+      justify-content: center; }
+      html.theme--documenter-dark .tags.is-centered .tag, html.theme--documenter-dark .tags.is-centered .content kbd, html.theme--documenter-dark .content .tags.is-centered kbd, html.theme--documenter-dark .tags.is-centered .docstring > section > a.docs-sourcelink {
+        margin-right: 0.25rem;
+        margin-left: 0.25rem; }
+    html.theme--documenter-dark .tags.is-right {
+      justify-content: flex-end; }
+      html.theme--documenter-dark .tags.is-right .tag:not(:first-child), html.theme--documenter-dark .tags.is-right .content kbd:not(:first-child), html.theme--documenter-dark .content .tags.is-right kbd:not(:first-child), html.theme--documenter-dark .tags.is-right .docstring > section > a.docs-sourcelink:not(:first-child) {
+        margin-left: 0.5rem; }
+      html.theme--documenter-dark .tags.is-right .tag:not(:last-child), html.theme--documenter-dark .tags.is-right .content kbd:not(:last-child), html.theme--documenter-dark .content .tags.is-right kbd:not(:last-child), html.theme--documenter-dark .tags.is-right .docstring > section > a.docs-sourcelink:not(:last-child) {
+        margin-right: 0; }
+    html.theme--documenter-dark .tags.has-addons .tag, html.theme--documenter-dark .tags.has-addons .content kbd, html.theme--documenter-dark .content .tags.has-addons kbd, html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink {
+      margin-right: 0; }
+      html.theme--documenter-dark .tags.has-addons .tag:not(:first-child), html.theme--documenter-dark .tags.has-addons .content kbd:not(:first-child), html.theme--documenter-dark .content .tags.has-addons kbd:not(:first-child), html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink:not(:first-child) {
+        margin-left: 0;
+        border-bottom-left-radius: 0;
+        border-top-left-radius: 0; }
+      html.theme--documenter-dark .tags.has-addons .tag:not(:last-child), html.theme--documenter-dark .tags.has-addons .content kbd:not(:last-child), html.theme--documenter-dark .content .tags.has-addons kbd:not(:last-child), html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink:not(:last-child) {
+        border-bottom-right-radius: 0;
+        border-top-right-radius: 0; }
+  html.theme--documenter-dark .tag:not(body), html.theme--documenter-dark .content kbd:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) {
+    align-items: center;
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    color: #fff;
+    display: inline-flex;
+    font-size: 0.85em;
+    height: 2em;
+    justify-content: center;
+    line-height: 1.5;
+    padding-left: 0.75em;
+    padding-right: 0.75em;
+    white-space: nowrap; }
+    html.theme--documenter-dark .tag:not(body) .delete, html.theme--documenter-dark .content kbd:not(body) .delete, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .delete {
+      margin-left: 0.25rem;
+      margin-right: -0.375rem; }
+    html.theme--documenter-dark .tag.is-white:not(body), html.theme--documenter-dark .content kbd.is-white:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-white:not(body) {
+      background-color: white;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .tag.is-black:not(body), html.theme--documenter-dark .content kbd.is-black:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-black:not(body) {
+      background-color: #0a0a0a;
+      color: white; }
+    html.theme--documenter-dark .tag.is-light:not(body), html.theme--documenter-dark .content kbd.is-light:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-light:not(body) {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+    html.theme--documenter-dark .tag.is-dark:not(body), html.theme--documenter-dark .content kbd:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-dark:not(body), html.theme--documenter-dark .content .docstring > section > kbd:not(body) {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .tag.is-primary:not(body), html.theme--documenter-dark .content kbd.is-primary:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) {
+      background-color: #375a7f;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-link:not(body), html.theme--documenter-dark .content kbd.is-link:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-link:not(body) {
+      background-color: #1abc9c;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-info:not(body), html.theme--documenter-dark .content kbd.is-info:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-info:not(body) {
+      background-color: #024c7d;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-success:not(body), html.theme--documenter-dark .content kbd.is-success:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-success:not(body) {
+      background-color: #008438;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-warning:not(body), html.theme--documenter-dark .content kbd.is-warning:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-warning:not(body) {
+      background-color: #ad8100;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-danger:not(body), html.theme--documenter-dark .content kbd.is-danger:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-danger:not(body) {
+      background-color: #9e1b0d;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-normal:not(body), html.theme--documenter-dark .content kbd.is-normal:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-normal:not(body) {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .tag.is-medium:not(body), html.theme--documenter-dark .content kbd.is-medium:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-medium:not(body) {
+      font-size: 15px; }
+    html.theme--documenter-dark .tag.is-large:not(body), html.theme--documenter-dark .content kbd.is-large:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-large:not(body) {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .tag:not(body) .icon:first-child:not(:last-child), html.theme--documenter-dark .content kbd:not(body) .icon:first-child:not(:last-child), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:not(:last-child) {
+      margin-left: -0.375em;
+      margin-right: 0.1875em; }
+    html.theme--documenter-dark .tag:not(body) .icon:last-child:not(:first-child), html.theme--documenter-dark .content kbd:not(body) .icon:last-child:not(:first-child), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:last-child:not(:first-child) {
+      margin-left: 0.1875em;
+      margin-right: -0.375em; }
+    html.theme--documenter-dark .tag:not(body) .icon:first-child:last-child, html.theme--documenter-dark .content kbd:not(body) .icon:first-child:last-child, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:last-child {
+      margin-left: -0.375em;
+      margin-right: -0.375em; }
+    html.theme--documenter-dark .tag.is-delete:not(body), html.theme--documenter-dark .content kbd.is-delete:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body) {
+      margin-left: 1px;
+      padding: 0;
+      position: relative;
+      width: 2em; }
+      html.theme--documenter-dark .tag.is-delete:not(body)::before, html.theme--documenter-dark .content kbd.is-delete:not(body)::before, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::before, html.theme--documenter-dark .tag.is-delete:not(body)::after, html.theme--documenter-dark .content kbd.is-delete:not(body)::after, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+        background-color: currentColor;
+        content: "";
+        display: block;
+        left: 50%;
+        position: absolute;
+        top: 50%;
+        transform: translateX(-50%) translateY(-50%) rotate(45deg);
+        transform-origin: center center; }
+      html.theme--documenter-dark .tag.is-delete:not(body)::before, html.theme--documenter-dark .content kbd.is-delete:not(body)::before, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::before {
+        height: 1px;
+        width: 50%; }
+      html.theme--documenter-dark .tag.is-delete:not(body)::after, html.theme--documenter-dark .content kbd.is-delete:not(body)::after, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+        height: 50%;
+        width: 1px; }
+      html.theme--documenter-dark .tag.is-delete:not(body):hover, html.theme--documenter-dark .content kbd.is-delete:not(body):hover, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):hover, html.theme--documenter-dark .tag.is-delete:not(body):focus, html.theme--documenter-dark .content kbd.is-delete:not(body):focus, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):focus {
+        background-color: #1d2122; }
+      html.theme--documenter-dark .tag.is-delete:not(body):active, html.theme--documenter-dark .content kbd.is-delete:not(body):active, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):active {
+        background-color: #111414; }
+    html.theme--documenter-dark .tag.is-rounded:not(body), html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:not(body), html.theme--documenter-dark .content kbd.is-rounded:not(body), html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-rounded:not(body) {
+      border-radius: 290486px; }
+  html.theme--documenter-dark a.tag:hover, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:hover {
+    text-decoration: underline; }
+  html.theme--documenter-dark .title,
+  html.theme--documenter-dark .subtitle {
+    word-break: break-word; }
+    html.theme--documenter-dark .title em,
+    html.theme--documenter-dark .title span,
+    html.theme--documenter-dark .subtitle em,
+    html.theme--documenter-dark .subtitle span {
+      font-weight: inherit; }
+    html.theme--documenter-dark .title sub,
+    html.theme--documenter-dark .subtitle sub {
+      font-size: 0.75em; }
+    html.theme--documenter-dark .title sup,
+    html.theme--documenter-dark .subtitle sup {
+      font-size: 0.75em; }
+    html.theme--documenter-dark .title .tag, html.theme--documenter-dark .title .content kbd, html.theme--documenter-dark .content .title kbd, html.theme--documenter-dark .title .docstring > section > a.docs-sourcelink,
+    html.theme--documenter-dark .subtitle .tag,
+    html.theme--documenter-dark .subtitle .content kbd,
+    html.theme--documenter-dark .content .subtitle kbd,
+    html.theme--documenter-dark .subtitle .docstring > section > a.docs-sourcelink {
+      vertical-align: middle; }
+  html.theme--documenter-dark .title {
+    color: #fff;
+    font-size: 2rem;
+    font-weight: 500;
+    line-height: 1.125; }
+    html.theme--documenter-dark .title strong {
+      color: inherit;
+      font-weight: inherit; }
+    html.theme--documenter-dark .title + .highlight {
+      margin-top: -0.75rem; }
+    html.theme--documenter-dark .title:not(.is-spaced) + .subtitle {
+      margin-top: -1.25rem; }
+    html.theme--documenter-dark .title.is-1 {
+      font-size: 3rem; }
+    html.theme--documenter-dark .title.is-2 {
+      font-size: 2.5rem; }
+    html.theme--documenter-dark .title.is-3 {
+      font-size: 2rem; }
+    html.theme--documenter-dark .title.is-4 {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .title.is-5 {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .title.is-6 {
+      font-size: 15px; }
+    html.theme--documenter-dark .title.is-7 {
+      font-size: 0.85em; }
+  html.theme--documenter-dark .subtitle {
+    color: #8c9b9d;
+    font-size: 1.25rem;
+    font-weight: 400;
+    line-height: 1.25; }
+    html.theme--documenter-dark .subtitle strong {
+      color: #8c9b9d;
+      font-weight: 600; }
+    html.theme--documenter-dark .subtitle:not(.is-spaced) + .title {
+      margin-top: -1.25rem; }
+    html.theme--documenter-dark .subtitle.is-1 {
+      font-size: 3rem; }
+    html.theme--documenter-dark .subtitle.is-2 {
+      font-size: 2.5rem; }
+    html.theme--documenter-dark .subtitle.is-3 {
+      font-size: 2rem; }
+    html.theme--documenter-dark .subtitle.is-4 {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .subtitle.is-5 {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .subtitle.is-6 {
+      font-size: 15px; }
+    html.theme--documenter-dark .subtitle.is-7 {
+      font-size: 0.85em; }
+  html.theme--documenter-dark .heading {
+    display: block;
+    font-size: 11px;
+    letter-spacing: 1px;
+    margin-bottom: 5px;
+    text-transform: uppercase; }
+  html.theme--documenter-dark .highlight {
+    font-weight: 400;
+    max-width: 100%;
+    overflow: hidden;
+    padding: 0; }
+    html.theme--documenter-dark .highlight pre {
+      overflow: auto;
+      max-width: 100%; }
+  html.theme--documenter-dark .number {
+    align-items: center;
+    background-color: #282f2f;
+    border-radius: 290486px;
+    display: inline-flex;
+    font-size: 1.25rem;
+    height: 2em;
+    justify-content: center;
+    margin-right: 1.5rem;
+    min-width: 2.5em;
+    padding: 0.25rem 0.5rem;
+    text-align: center;
+    vertical-align: top; }
+  html.theme--documenter-dark .select select, html.theme--documenter-dark .textarea, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+    background-color: #1f2424;
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    color: #dbdee0; }
+    html.theme--documenter-dark .select select::-moz-placeholder, html.theme--documenter-dark .textarea::-moz-placeholder, html.theme--documenter-dark .input::-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-moz-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select::-webkit-input-placeholder, html.theme--documenter-dark .textarea::-webkit-input-placeholder, html.theme--documenter-dark .input::-webkit-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select:-moz-placeholder, html.theme--documenter-dark .textarea:-moz-placeholder, html.theme--documenter-dark .input:-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-moz-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select:-ms-input-placeholder, html.theme--documenter-dark .textarea:-ms-input-placeholder, html.theme--documenter-dark .input:-ms-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select:hover, html.theme--documenter-dark .textarea:hover, html.theme--documenter-dark .input:hover, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:hover, html.theme--documenter-dark .select select.is-hovered, html.theme--documenter-dark .is-hovered.textarea, html.theme--documenter-dark .is-hovered.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-hovered {
+      border-color: #8c9b9d; }
+    html.theme--documenter-dark .select select:focus, html.theme--documenter-dark .textarea:focus, html.theme--documenter-dark .input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:focus, html.theme--documenter-dark .select select.is-focused, html.theme--documenter-dark .is-focused.textarea, html.theme--documenter-dark .is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .select select:active, html.theme--documenter-dark .textarea:active, html.theme--documenter-dark .input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:active, html.theme--documenter-dark .select select.is-active, html.theme--documenter-dark .is-active.textarea, html.theme--documenter-dark .is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+      border-color: #1abc9c;
+      box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .select select[disabled], html.theme--documenter-dark .textarea[disabled], html.theme--documenter-dark .input[disabled], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled], fieldset[disabled] html.theme--documenter-dark .select select, fieldset[disabled] html.theme--documenter-dark .textarea, fieldset[disabled] html.theme--documenter-dark .input, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+      background-color: #8c9b9d;
+      border-color: #282f2f;
+      box-shadow: none;
+      color: white; }
+      html.theme--documenter-dark .select select[disabled]::-moz-placeholder, html.theme--documenter-dark .textarea[disabled]::-moz-placeholder, html.theme--documenter-dark .input[disabled]::-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .select select::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .input::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-moz-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+      html.theme--documenter-dark .select select[disabled]::-webkit-input-placeholder, html.theme--documenter-dark .textarea[disabled]::-webkit-input-placeholder, html.theme--documenter-dark .input[disabled]::-webkit-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .select select::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .input::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+      html.theme--documenter-dark .select select[disabled]:-moz-placeholder, html.theme--documenter-dark .textarea[disabled]:-moz-placeholder, html.theme--documenter-dark .input[disabled]:-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .select select:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .input:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-moz-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+      html.theme--documenter-dark .select select[disabled]:-ms-input-placeholder, html.theme--documenter-dark .textarea[disabled]:-ms-input-placeholder, html.theme--documenter-dark .input[disabled]:-ms-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .select select:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .input:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+  html.theme--documenter-dark .textarea, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+    box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.1);
+    max-width: 100%;
+    width: 100%; }
+    html.theme--documenter-dark .textarea[readonly], html.theme--documenter-dark .input[readonly], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[readonly] {
+      box-shadow: none; }
+    html.theme--documenter-dark .is-white.textarea, html.theme--documenter-dark .is-white.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white {
+      border-color: white; }
+      html.theme--documenter-dark .is-white.textarea:focus, html.theme--documenter-dark .is-white.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white:focus, html.theme--documenter-dark .is-white.is-focused.textarea, html.theme--documenter-dark .is-white.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-white.textarea:active, html.theme--documenter-dark .is-white.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white:active, html.theme--documenter-dark .is-white.is-active.textarea, html.theme--documenter-dark .is-white.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+    html.theme--documenter-dark .is-black.textarea, html.theme--documenter-dark .is-black.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black {
+      border-color: #0a0a0a; }
+      html.theme--documenter-dark .is-black.textarea:focus, html.theme--documenter-dark .is-black.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black:focus, html.theme--documenter-dark .is-black.is-focused.textarea, html.theme--documenter-dark .is-black.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-black.textarea:active, html.theme--documenter-dark .is-black.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black:active, html.theme--documenter-dark .is-black.is-active.textarea, html.theme--documenter-dark .is-black.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+    html.theme--documenter-dark .is-light.textarea, html.theme--documenter-dark .is-light.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light {
+      border-color: #ecf0f1; }
+      html.theme--documenter-dark .is-light.textarea:focus, html.theme--documenter-dark .is-light.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light:focus, html.theme--documenter-dark .is-light.is-focused.textarea, html.theme--documenter-dark .is-light.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-light.textarea:active, html.theme--documenter-dark .is-light.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light:active, html.theme--documenter-dark .is-light.is-active.textarea, html.theme--documenter-dark .is-light.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); }
+    html.theme--documenter-dark .is-dark.textarea, html.theme--documenter-dark .content kbd.textarea, html.theme--documenter-dark .is-dark.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark, html.theme--documenter-dark .content kbd.input {
+      border-color: #282f2f; }
+      html.theme--documenter-dark .is-dark.textarea:focus, html.theme--documenter-dark .content kbd.textarea:focus, html.theme--documenter-dark .is-dark.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark:focus, html.theme--documenter-dark .content kbd.input:focus, html.theme--documenter-dark .is-dark.is-focused.textarea, html.theme--documenter-dark .content kbd.is-focused.textarea, html.theme--documenter-dark .is-dark.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .content kbd.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input.is-focused, html.theme--documenter-dark .is-dark.textarea:active, html.theme--documenter-dark .content kbd.textarea:active, html.theme--documenter-dark .is-dark.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark:active, html.theme--documenter-dark .content kbd.input:active, html.theme--documenter-dark .is-dark.is-active.textarea, html.theme--documenter-dark .content kbd.is-active.textarea, html.theme--documenter-dark .is-dark.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .content kbd.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); }
+    html.theme--documenter-dark .is-primary.textarea, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink {
+      border-color: #375a7f; }
+      html.theme--documenter-dark .is-primary.textarea:focus, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink:focus, html.theme--documenter-dark .is-primary.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary:focus, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink:focus, html.theme--documenter-dark .is-primary.is-focused.textarea, html.theme--documenter-dark .docstring > section > a.is-focused.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .docstring > section > a.is-focused.input.docs-sourcelink, html.theme--documenter-dark .is-primary.textarea:active, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink:active, html.theme--documenter-dark .is-primary.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary:active, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink:active, html.theme--documenter-dark .is-primary.is-active.textarea, html.theme--documenter-dark .docstring > section > a.is-active.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .docstring > section > a.is-active.input.docs-sourcelink {
+        box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); }
+    html.theme--documenter-dark .is-link.textarea, html.theme--documenter-dark .is-link.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link {
+      border-color: #1abc9c; }
+      html.theme--documenter-dark .is-link.textarea:focus, html.theme--documenter-dark .is-link.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link:focus, html.theme--documenter-dark .is-link.is-focused.textarea, html.theme--documenter-dark .is-link.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-link.textarea:active, html.theme--documenter-dark .is-link.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link:active, html.theme--documenter-dark .is-link.is-active.textarea, html.theme--documenter-dark .is-link.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .is-info.textarea, html.theme--documenter-dark .is-info.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info {
+      border-color: #024c7d; }
+      html.theme--documenter-dark .is-info.textarea:focus, html.theme--documenter-dark .is-info.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info:focus, html.theme--documenter-dark .is-info.is-focused.textarea, html.theme--documenter-dark .is-info.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-info.textarea:active, html.theme--documenter-dark .is-info.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info:active, html.theme--documenter-dark .is-info.is-active.textarea, html.theme--documenter-dark .is-info.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); }
+    html.theme--documenter-dark .is-success.textarea, html.theme--documenter-dark .is-success.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success {
+      border-color: #008438; }
+      html.theme--documenter-dark .is-success.textarea:focus, html.theme--documenter-dark .is-success.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success:focus, html.theme--documenter-dark .is-success.is-focused.textarea, html.theme--documenter-dark .is-success.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-success.textarea:active, html.theme--documenter-dark .is-success.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success:active, html.theme--documenter-dark .is-success.is-active.textarea, html.theme--documenter-dark .is-success.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); }
+    html.theme--documenter-dark .is-warning.textarea, html.theme--documenter-dark .is-warning.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning {
+      border-color: #ad8100; }
+      html.theme--documenter-dark .is-warning.textarea:focus, html.theme--documenter-dark .is-warning.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning:focus, html.theme--documenter-dark .is-warning.is-focused.textarea, html.theme--documenter-dark .is-warning.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-warning.textarea:active, html.theme--documenter-dark .is-warning.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning:active, html.theme--documenter-dark .is-warning.is-active.textarea, html.theme--documenter-dark .is-warning.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); }
+    html.theme--documenter-dark .is-danger.textarea, html.theme--documenter-dark .is-danger.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger {
+      border-color: #9e1b0d; }
+      html.theme--documenter-dark .is-danger.textarea:focus, html.theme--documenter-dark .is-danger.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger:focus, html.theme--documenter-dark .is-danger.is-focused.textarea, html.theme--documenter-dark .is-danger.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-danger.textarea:active, html.theme--documenter-dark .is-danger.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger:active, html.theme--documenter-dark .is-danger.is-active.textarea, html.theme--documenter-dark .is-danger.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); }
+    html.theme--documenter-dark .is-small.textarea, html.theme--documenter-dark .is-small.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .is-medium.textarea, html.theme--documenter-dark .is-medium.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .is-large.textarea, html.theme--documenter-dark .is-large.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .is-fullwidth.textarea, html.theme--documenter-dark .is-fullwidth.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-fullwidth {
+      display: block;
+      width: 100%; }
+    html.theme--documenter-dark .is-inline.textarea, html.theme--documenter-dark .is-inline.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-inline {
+      display: inline;
+      width: auto; }
+  html.theme--documenter-dark .input.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+    border-radius: 290486px;
+    padding-left: 1em;
+    padding-right: 1em; }
+  html.theme--documenter-dark .input.is-static, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-static {
+    background-color: transparent;
+    border-color: transparent;
+    box-shadow: none;
+    padding-left: 0;
+    padding-right: 0; }
+  html.theme--documenter-dark .textarea {
+    display: block;
+    max-width: 100%;
+    min-width: 100%;
+    padding: 0.625em;
+    resize: vertical; }
+    html.theme--documenter-dark .textarea:not([rows]) {
+      max-height: 600px;
+      min-height: 120px; }
+    html.theme--documenter-dark .textarea[rows] {
+      height: initial; }
+    html.theme--documenter-dark .textarea.has-fixed-size {
+      resize: none; }
+  html.theme--documenter-dark .radio, html.theme--documenter-dark .checkbox {
+    cursor: pointer;
+    display: inline-block;
+    line-height: 1.25;
+    position: relative; }
+    html.theme--documenter-dark .radio input, html.theme--documenter-dark .checkbox input {
+      cursor: pointer; }
+    html.theme--documenter-dark .radio:hover, html.theme--documenter-dark .checkbox:hover {
+      color: #8c9b9d; }
+    html.theme--documenter-dark .radio[disabled], html.theme--documenter-dark .checkbox[disabled], fieldset[disabled] html.theme--documenter-dark .radio, fieldset[disabled] html.theme--documenter-dark .checkbox {
+      color: white;
+      cursor: not-allowed; }
+  html.theme--documenter-dark .radio + .radio {
+    margin-left: 0.5em; }
+  html.theme--documenter-dark .select {
+    display: inline-block;
+    max-width: 100%;
+    position: relative;
+    vertical-align: top; }
+    html.theme--documenter-dark .select:not(.is-multiple) {
+      height: 2.25em; }
+    html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after {
+      border-color: #1abc9c;
+      right: 1.125em;
+      z-index: 4; }
+    html.theme--documenter-dark .select.is-rounded select, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.select select {
+      border-radius: 290486px;
+      padding-left: 1em; }
+    html.theme--documenter-dark .select select {
+      cursor: pointer;
+      display: block;
+      font-size: 1em;
+      max-width: 100%;
+      outline: none; }
+      html.theme--documenter-dark .select select::-ms-expand {
+        display: none; }
+      html.theme--documenter-dark .select select[disabled]:hover, fieldset[disabled] html.theme--documenter-dark .select select:hover {
+        border-color: #282f2f; }
+      html.theme--documenter-dark .select select:not([multiple]) {
+        padding-right: 2.5em; }
+      html.theme--documenter-dark .select select[multiple] {
+        height: auto;
+        padding: 0; }
+        html.theme--documenter-dark .select select[multiple] option {
+          padding: 0.5em 1em; }
+    html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading):hover::after {
+      border-color: #8c9b9d; }
+    html.theme--documenter-dark .select.is-white:not(:hover)::after {
+      border-color: white; }
+    html.theme--documenter-dark .select.is-white select {
+      border-color: white; }
+      html.theme--documenter-dark .select.is-white select:hover, html.theme--documenter-dark .select.is-white select.is-hovered {
+        border-color: #f2f2f2; }
+      html.theme--documenter-dark .select.is-white select:focus, html.theme--documenter-dark .select.is-white select.is-focused, html.theme--documenter-dark .select.is-white select:active, html.theme--documenter-dark .select.is-white select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+    html.theme--documenter-dark .select.is-black:not(:hover)::after {
+      border-color: #0a0a0a; }
+    html.theme--documenter-dark .select.is-black select {
+      border-color: #0a0a0a; }
+      html.theme--documenter-dark .select.is-black select:hover, html.theme--documenter-dark .select.is-black select.is-hovered {
+        border-color: black; }
+      html.theme--documenter-dark .select.is-black select:focus, html.theme--documenter-dark .select.is-black select.is-focused, html.theme--documenter-dark .select.is-black select:active, html.theme--documenter-dark .select.is-black select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+    html.theme--documenter-dark .select.is-light:not(:hover)::after {
+      border-color: #ecf0f1; }
+    html.theme--documenter-dark .select.is-light select {
+      border-color: #ecf0f1; }
+      html.theme--documenter-dark .select.is-light select:hover, html.theme--documenter-dark .select.is-light select.is-hovered {
+        border-color: #dde4e6; }
+      html.theme--documenter-dark .select.is-light select:focus, html.theme--documenter-dark .select.is-light select.is-focused, html.theme--documenter-dark .select.is-light select:active, html.theme--documenter-dark .select.is-light select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); }
+    html.theme--documenter-dark .select.is-dark:not(:hover)::after, html.theme--documenter-dark .content kbd.select:not(:hover)::after {
+      border-color: #282f2f; }
+    html.theme--documenter-dark .select.is-dark select, html.theme--documenter-dark .content kbd.select select {
+      border-color: #282f2f; }
+      html.theme--documenter-dark .select.is-dark select:hover, html.theme--documenter-dark .content kbd.select select:hover, html.theme--documenter-dark .select.is-dark select.is-hovered, html.theme--documenter-dark .content kbd.select select.is-hovered {
+        border-color: #1d2122; }
+      html.theme--documenter-dark .select.is-dark select:focus, html.theme--documenter-dark .content kbd.select select:focus, html.theme--documenter-dark .select.is-dark select.is-focused, html.theme--documenter-dark .content kbd.select select.is-focused, html.theme--documenter-dark .select.is-dark select:active, html.theme--documenter-dark .content kbd.select select:active, html.theme--documenter-dark .select.is-dark select.is-active, html.theme--documenter-dark .content kbd.select select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); }
+    html.theme--documenter-dark .select.is-primary:not(:hover)::after, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink:not(:hover)::after {
+      border-color: #375a7f; }
+    html.theme--documenter-dark .select.is-primary select, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select {
+      border-color: #375a7f; }
+      html.theme--documenter-dark .select.is-primary select:hover, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:hover, html.theme--documenter-dark .select.is-primary select.is-hovered, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-hovered {
+        border-color: #2f4d6d; }
+      html.theme--documenter-dark .select.is-primary select:focus, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:focus, html.theme--documenter-dark .select.is-primary select.is-focused, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-focused, html.theme--documenter-dark .select.is-primary select:active, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:active, html.theme--documenter-dark .select.is-primary select.is-active, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); }
+    html.theme--documenter-dark .select.is-link:not(:hover)::after {
+      border-color: #1abc9c; }
+    html.theme--documenter-dark .select.is-link select {
+      border-color: #1abc9c; }
+      html.theme--documenter-dark .select.is-link select:hover, html.theme--documenter-dark .select.is-link select.is-hovered {
+        border-color: #17a689; }
+      html.theme--documenter-dark .select.is-link select:focus, html.theme--documenter-dark .select.is-link select.is-focused, html.theme--documenter-dark .select.is-link select:active, html.theme--documenter-dark .select.is-link select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .select.is-info:not(:hover)::after {
+      border-color: #024c7d; }
+    html.theme--documenter-dark .select.is-info select {
+      border-color: #024c7d; }
+      html.theme--documenter-dark .select.is-info select:hover, html.theme--documenter-dark .select.is-info select.is-hovered {
+        border-color: #023d64; }
+      html.theme--documenter-dark .select.is-info select:focus, html.theme--documenter-dark .select.is-info select.is-focused, html.theme--documenter-dark .select.is-info select:active, html.theme--documenter-dark .select.is-info select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); }
+    html.theme--documenter-dark .select.is-success:not(:hover)::after {
+      border-color: #008438; }
+    html.theme--documenter-dark .select.is-success select {
+      border-color: #008438; }
+      html.theme--documenter-dark .select.is-success select:hover, html.theme--documenter-dark .select.is-success select.is-hovered {
+        border-color: #006b2d; }
+      html.theme--documenter-dark .select.is-success select:focus, html.theme--documenter-dark .select.is-success select.is-focused, html.theme--documenter-dark .select.is-success select:active, html.theme--documenter-dark .select.is-success select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); }
+    html.theme--documenter-dark .select.is-warning:not(:hover)::after {
+      border-color: #ad8100; }
+    html.theme--documenter-dark .select.is-warning select {
+      border-color: #ad8100; }
+      html.theme--documenter-dark .select.is-warning select:hover, html.theme--documenter-dark .select.is-warning select.is-hovered {
+        border-color: #946e00; }
+      html.theme--documenter-dark .select.is-warning select:focus, html.theme--documenter-dark .select.is-warning select.is-focused, html.theme--documenter-dark .select.is-warning select:active, html.theme--documenter-dark .select.is-warning select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); }
+    html.theme--documenter-dark .select.is-danger:not(:hover)::after {
+      border-color: #9e1b0d; }
+    html.theme--documenter-dark .select.is-danger select {
+      border-color: #9e1b0d; }
+      html.theme--documenter-dark .select.is-danger select:hover, html.theme--documenter-dark .select.is-danger select.is-hovered {
+        border-color: #86170b; }
+      html.theme--documenter-dark .select.is-danger select:focus, html.theme--documenter-dark .select.is-danger select.is-focused, html.theme--documenter-dark .select.is-danger select:active, html.theme--documenter-dark .select.is-danger select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); }
+    html.theme--documenter-dark .select.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.select {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .select.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .select.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .select.is-disabled::after {
+      border-color: white; }
+    html.theme--documenter-dark .select.is-fullwidth {
+      width: 100%; }
+      html.theme--documenter-dark .select.is-fullwidth select {
+        width: 100%; }
+    html.theme--documenter-dark .select.is-loading::after {
+      margin-top: 0;
+      position: absolute;
+      right: 0.625em;
+      top: 0.625em;
+      transform: none; }
+    html.theme--documenter-dark .select.is-loading.is-small:after, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .select.is-loading.is-medium:after {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .select.is-loading.is-large:after {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .file {
+    align-items: stretch;
+    display: flex;
+    justify-content: flex-start;
+    position: relative; }
+    html.theme--documenter-dark .file.is-white .file-cta {
+      background-color: white;
+      border-color: transparent;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-white:hover .file-cta, html.theme--documenter-dark .file.is-white.is-hovered .file-cta {
+      background-color: #f9f9f9;
+      border-color: transparent;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-white:focus .file-cta, html.theme--documenter-dark .file.is-white.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(255, 255, 255, 0.25);
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-white:active .file-cta, html.theme--documenter-dark .file.is-white.is-active .file-cta {
+      background-color: #f2f2f2;
+      border-color: transparent;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-black .file-cta {
+      background-color: #0a0a0a;
+      border-color: transparent;
+      color: white; }
+    html.theme--documenter-dark .file.is-black:hover .file-cta, html.theme--documenter-dark .file.is-black.is-hovered .file-cta {
+      background-color: #040404;
+      border-color: transparent;
+      color: white; }
+    html.theme--documenter-dark .file.is-black:focus .file-cta, html.theme--documenter-dark .file.is-black.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(10, 10, 10, 0.25);
+      color: white; }
+    html.theme--documenter-dark .file.is-black:active .file-cta, html.theme--documenter-dark .file.is-black.is-active .file-cta {
+      background-color: black;
+      border-color: transparent;
+      color: white; }
+    html.theme--documenter-dark .file.is-light .file-cta {
+      background-color: #ecf0f1;
+      border-color: transparent;
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-light:hover .file-cta, html.theme--documenter-dark .file.is-light.is-hovered .file-cta {
+      background-color: #e5eaec;
+      border-color: transparent;
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-light:focus .file-cta, html.theme--documenter-dark .file.is-light.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(236, 240, 241, 0.25);
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-light:active .file-cta, html.theme--documenter-dark .file.is-light.is-active .file-cta {
+      background-color: #dde4e6;
+      border-color: transparent;
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-dark .file-cta, html.theme--documenter-dark .content kbd.file .file-cta {
+      background-color: #282f2f;
+      border-color: transparent;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-dark:hover .file-cta, html.theme--documenter-dark .content kbd.file:hover .file-cta, html.theme--documenter-dark .file.is-dark.is-hovered .file-cta, html.theme--documenter-dark .content kbd.file.is-hovered .file-cta {
+      background-color: #232829;
+      border-color: transparent;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-dark:focus .file-cta, html.theme--documenter-dark .content kbd.file:focus .file-cta, html.theme--documenter-dark .file.is-dark.is-focused .file-cta, html.theme--documenter-dark .content kbd.file.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(40, 47, 47, 0.25);
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-dark:active .file-cta, html.theme--documenter-dark .content kbd.file:active .file-cta, html.theme--documenter-dark .file.is-dark.is-active .file-cta, html.theme--documenter-dark .content kbd.file.is-active .file-cta {
+      background-color: #1d2122;
+      border-color: transparent;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-primary .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink .file-cta {
+      background-color: #375a7f;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-primary:hover .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:hover .file-cta, html.theme--documenter-dark .file.is-primary.is-hovered .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-hovered.docs-sourcelink .file-cta {
+      background-color: #335476;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-primary:focus .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:focus .file-cta, html.theme--documenter-dark .file.is-primary.is-focused .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-focused.docs-sourcelink .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(55, 90, 127, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-primary:active .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:active .file-cta, html.theme--documenter-dark .file.is-primary.is-active .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-active.docs-sourcelink .file-cta {
+      background-color: #2f4d6d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link .file-cta {
+      background-color: #1abc9c;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link:hover .file-cta, html.theme--documenter-dark .file.is-link.is-hovered .file-cta {
+      background-color: #18b193;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link:focus .file-cta, html.theme--documenter-dark .file.is-link.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(26, 188, 156, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link:active .file-cta, html.theme--documenter-dark .file.is-link.is-active .file-cta {
+      background-color: #17a689;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info .file-cta {
+      background-color: #024c7d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info:hover .file-cta, html.theme--documenter-dark .file.is-info.is-hovered .file-cta {
+      background-color: #024470;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info:focus .file-cta, html.theme--documenter-dark .file.is-info.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(2, 76, 125, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info:active .file-cta, html.theme--documenter-dark .file.is-info.is-active .file-cta {
+      background-color: #023d64;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success .file-cta {
+      background-color: #008438;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success:hover .file-cta, html.theme--documenter-dark .file.is-success.is-hovered .file-cta {
+      background-color: #007733;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success:focus .file-cta, html.theme--documenter-dark .file.is-success.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(0, 132, 56, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success:active .file-cta, html.theme--documenter-dark .file.is-success.is-active .file-cta {
+      background-color: #006b2d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning .file-cta {
+      background-color: #ad8100;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning:hover .file-cta, html.theme--documenter-dark .file.is-warning.is-hovered .file-cta {
+      background-color: #a07700;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning:focus .file-cta, html.theme--documenter-dark .file.is-warning.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(173, 129, 0, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning:active .file-cta, html.theme--documenter-dark .file.is-warning.is-active .file-cta {
+      background-color: #946e00;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger .file-cta {
+      background-color: #9e1b0d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger:hover .file-cta, html.theme--documenter-dark .file.is-danger.is-hovered .file-cta {
+      background-color: #92190c;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger:focus .file-cta, html.theme--documenter-dark .file.is-danger.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(158, 27, 13, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger:active .file-cta, html.theme--documenter-dark .file.is-danger.is-active .file-cta {
+      background-color: #86170b;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.file {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .file.is-medium {
+      font-size: 1.25rem; }
+      html.theme--documenter-dark .file.is-medium .file-icon .fa {
+        font-size: 21px; }
+    html.theme--documenter-dark .file.is-large {
+      font-size: 1.5rem; }
+      html.theme--documenter-dark .file.is-large .file-icon .fa {
+        font-size: 28px; }
+    html.theme--documenter-dark .file.has-name .file-cta {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0; }
+    html.theme--documenter-dark .file.has-name .file-name {
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    html.theme--documenter-dark .file.has-name.is-empty .file-cta {
+      border-radius: 0.4em; }
+    html.theme--documenter-dark .file.has-name.is-empty .file-name {
+      display: none; }
+    html.theme--documenter-dark .file.is-boxed .file-label {
+      flex-direction: column; }
+    html.theme--documenter-dark .file.is-boxed .file-cta {
+      flex-direction: column;
+      height: auto;
+      padding: 1em 3em; }
+    html.theme--documenter-dark .file.is-boxed .file-name {
+      border-width: 0 1px 1px; }
+    html.theme--documenter-dark .file.is-boxed .file-icon {
+      height: 1.5em;
+      width: 1.5em; }
+      html.theme--documenter-dark .file.is-boxed .file-icon .fa {
+        font-size: 21px; }
+    html.theme--documenter-dark .file.is-boxed.is-small .file-icon .fa, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-boxed .file-icon .fa {
+      font-size: 14px; }
+    html.theme--documenter-dark .file.is-boxed.is-medium .file-icon .fa {
+      font-size: 28px; }
+    html.theme--documenter-dark .file.is-boxed.is-large .file-icon .fa {
+      font-size: 35px; }
+    html.theme--documenter-dark .file.is-boxed.has-name .file-cta {
+      border-radius: 0.4em 0.4em 0 0; }
+    html.theme--documenter-dark .file.is-boxed.has-name .file-name {
+      border-radius: 0 0 0.4em 0.4em;
+      border-width: 0 1px 1px; }
+    html.theme--documenter-dark .file.is-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .file.is-fullwidth .file-label {
+      width: 100%; }
+    html.theme--documenter-dark .file.is-fullwidth .file-name {
+      flex-grow: 1;
+      max-width: none; }
+    html.theme--documenter-dark .file.is-right {
+      justify-content: flex-end; }
+      html.theme--documenter-dark .file.is-right .file-cta {
+        border-radius: 0 0.4em 0.4em 0; }
+      html.theme--documenter-dark .file.is-right .file-name {
+        border-radius: 0.4em 0 0 0.4em;
+        border-width: 1px 0 1px 1px;
+        order: -1; }
+  html.theme--documenter-dark .file-label {
+    align-items: stretch;
+    display: flex;
+    cursor: pointer;
+    justify-content: flex-start;
+    overflow: hidden;
+    position: relative; }
+    html.theme--documenter-dark .file-label:hover .file-cta {
+      background-color: #e5eaec;
+      color: #282f2f; }
+    html.theme--documenter-dark .file-label:hover .file-name {
+      border-color: #596668; }
+    html.theme--documenter-dark .file-label:active .file-cta {
+      background-color: #dde4e6;
+      color: #282f2f; }
+    html.theme--documenter-dark .file-label:active .file-name {
+      border-color: #535f61; }
+  html.theme--documenter-dark .file-input {
+    height: 100%;
+    left: 0;
+    opacity: 0;
+    outline: none;
+    position: absolute;
+    top: 0;
+    width: 100%; }
+  html.theme--documenter-dark .file-cta,
+  html.theme--documenter-dark .file-name {
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    font-size: 1em;
+    padding-left: 1em;
+    padding-right: 1em;
+    white-space: nowrap; }
+  html.theme--documenter-dark .file-cta {
+    background-color: #ecf0f1;
+    color: #343c3d; }
+  html.theme--documenter-dark .file-name {
+    border-color: #5e6d6f;
+    border-style: solid;
+    border-width: 1px 1px 1px 0;
+    display: block;
+    max-width: 16em;
+    overflow: hidden;
+    text-align: left;
+    text-overflow: ellipsis; }
+  html.theme--documenter-dark .file-icon {
+    align-items: center;
+    display: flex;
+    height: 1em;
+    justify-content: center;
+    margin-right: 0.5em;
+    width: 1em; }
+    html.theme--documenter-dark .file-icon .fa {
+      font-size: 14px; }
+  html.theme--documenter-dark .label {
+    color: #282f2f;
+    display: block;
+    font-size: 15px;
+    font-weight: 700; }
+    html.theme--documenter-dark .label:not(:last-child) {
+      margin-bottom: 0.5em; }
+    html.theme--documenter-dark .label.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.label {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .label.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .label.is-large {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .help {
+    display: block;
+    font-size: 0.85em;
+    margin-top: 0.25rem; }
+    html.theme--documenter-dark .help.is-white {
+      color: white; }
+    html.theme--documenter-dark .help.is-black {
+      color: #0a0a0a; }
+    html.theme--documenter-dark .help.is-light {
+      color: #ecf0f1; }
+    html.theme--documenter-dark .help.is-dark, html.theme--documenter-dark .content kbd.help {
+      color: #282f2f; }
+    html.theme--documenter-dark .help.is-primary, html.theme--documenter-dark .docstring > section > a.help.docs-sourcelink {
+      color: #375a7f; }
+    html.theme--documenter-dark .help.is-link {
+      color: #1abc9c; }
+    html.theme--documenter-dark .help.is-info {
+      color: #024c7d; }
+    html.theme--documenter-dark .help.is-success {
+      color: #008438; }
+    html.theme--documenter-dark .help.is-warning {
+      color: #ad8100; }
+    html.theme--documenter-dark .help.is-danger {
+      color: #9e1b0d; }
+  html.theme--documenter-dark .field:not(:last-child) {
+    margin-bottom: 0.75rem; }
+  html.theme--documenter-dark .field.has-addons {
+    display: flex;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .field.has-addons .control:not(:last-child) {
+      margin-right: -1px; }
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .button,
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .input,
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search > input,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search > input,
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .select select {
+      border-radius: 0; }
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .button,
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .input,
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search > input,
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .select select {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0; }
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .button,
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .input,
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search > input,
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .select select {
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):hover, html.theme--documenter-dark .field.has-addons .control .button.is-hovered:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):hover,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):hover,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):hover,
+    html.theme--documenter-dark .field.has-addons .control .input.is-hovered:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-hovered:not([disabled]),
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-hovered:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):hover,
+    html.theme--documenter-dark .field.has-addons .control .select select.is-hovered:not([disabled]) {
+      z-index: 2; }
+    html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):focus, html.theme--documenter-dark .field.has-addons .control .button.is-focused:not([disabled]), html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):active, html.theme--documenter-dark .field.has-addons .control .button.is-active:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):focus,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus,
+    html.theme--documenter-dark .field.has-addons .control .input.is-focused:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]),
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):active,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active,
+    html.theme--documenter-dark .field.has-addons .control .input.is-active:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]),
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):focus,
+    html.theme--documenter-dark .field.has-addons .control .select select.is-focused:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):active,
+    html.theme--documenter-dark .field.has-addons .control .select select.is-active:not([disabled]) {
+      z-index: 3; }
+      html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):focus:hover, html.theme--documenter-dark .field.has-addons .control .button.is-focused:not([disabled]):hover, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):active:hover, html.theme--documenter-dark .field.has-addons .control .button.is-active:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):focus:hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus:hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus:hover,
+      html.theme--documenter-dark .field.has-addons .control .input.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):active:hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active:hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active:hover,
+      html.theme--documenter-dark .field.has-addons .control .input.is-active:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]):hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):focus:hover,
+      html.theme--documenter-dark .field.has-addons .control .select select.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):active:hover,
+      html.theme--documenter-dark .field.has-addons .control .select select.is-active:not([disabled]):hover {
+        z-index: 4; }
+    html.theme--documenter-dark .field.has-addons .control.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .field.has-addons.has-addons-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .field.has-addons.has-addons-right {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .field.has-addons.has-addons-fullwidth .control {
+      flex-grow: 1;
+      flex-shrink: 0; }
+  html.theme--documenter-dark .field.is-grouped {
+    display: flex;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .field.is-grouped > .control {
+      flex-shrink: 0; }
+      html.theme--documenter-dark .field.is-grouped > .control:not(:last-child) {
+        margin-bottom: 0;
+        margin-right: 0.75rem; }
+      html.theme--documenter-dark .field.is-grouped > .control.is-expanded {
+        flex-grow: 1;
+        flex-shrink: 1; }
+    html.theme--documenter-dark .field.is-grouped.is-grouped-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .field.is-grouped.is-grouped-right {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .field.is-grouped.is-grouped-multiline {
+      flex-wrap: wrap; }
+      html.theme--documenter-dark .field.is-grouped.is-grouped-multiline > .control:last-child, html.theme--documenter-dark .field.is-grouped.is-grouped-multiline > .control:not(:last-child) {
+        margin-bottom: 0.75rem; }
+      html.theme--documenter-dark .field.is-grouped.is-grouped-multiline:last-child {
+        margin-bottom: -0.75rem; }
+      html.theme--documenter-dark .field.is-grouped.is-grouped-multiline:not(:last-child) {
+        margin-bottom: 0; }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .field.is-horizontal {
+      display: flex; } }
+  html.theme--documenter-dark .field-label .label {
+    font-size: inherit; }
+  @media screen and (max-width: 768px) {
+    html.theme--documenter-dark .field-label {
+      margin-bottom: 0.5rem; } }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .field-label {
+      flex-basis: 0;
+      flex-grow: 1;
+      flex-shrink: 0;
+      margin-right: 1.5rem;
+      text-align: right; }
+      html.theme--documenter-dark .field-label.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.field-label {
+        font-size: 0.85em;
+        padding-top: 0.375em; }
+      html.theme--documenter-dark .field-label.is-normal {
+        padding-top: 0.375em; }
+      html.theme--documenter-dark .field-label.is-medium {
+        font-size: 1.25rem;
+        padding-top: 0.375em; }
+      html.theme--documenter-dark .field-label.is-large {
+        font-size: 1.5rem;
+        padding-top: 0.375em; } }
+  html.theme--documenter-dark .field-body .field .field {
+    margin-bottom: 0; }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .field-body {
+      display: flex;
+      flex-basis: 0;
+      flex-grow: 5;
+      flex-shrink: 1; }
+      html.theme--documenter-dark .field-body .field {
+        margin-bottom: 0; }
+      html.theme--documenter-dark .field-body > .field {
+        flex-shrink: 1; }
+        html.theme--documenter-dark .field-body > .field:not(.is-narrow) {
+          flex-grow: 1; }
+        html.theme--documenter-dark .field-body > .field:not(:last-child) {
+          margin-right: 0.75rem; } }
+  html.theme--documenter-dark .control {
+    box-sizing: border-box;
+    clear: both;
+    font-size: 15px;
+    position: relative;
+    text-align: left; }
+    html.theme--documenter-dark .control.has-icons-left .input:focus ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input:focus ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select:focus ~ .icon, html.theme--documenter-dark .control.has-icons-right .input:focus ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input:focus ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select:focus ~ .icon {
+      color: #5e6d6f; }
+    html.theme--documenter-dark .control.has-icons-left .input.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select.is-small ~ .icon {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .control.has-icons-left .input.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-medium ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-medium ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select.is-medium ~ .icon {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .control.has-icons-left .input.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-large ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-large ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select.is-large ~ .icon {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .control.has-icons-left .icon, html.theme--documenter-dark .control.has-icons-right .icon {
+      color: #dbdee0;
+      height: 2.25em;
+      pointer-events: none;
+      position: absolute;
+      top: 0;
+      width: 2.25em;
+      z-index: 4; }
+    html.theme--documenter-dark .control.has-icons-left .input, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input,
+    html.theme--documenter-dark .control.has-icons-left .select select {
+      padding-left: 2.25em; }
+    html.theme--documenter-dark .control.has-icons-left .icon.is-left {
+      left: 0; }
+    html.theme--documenter-dark .control.has-icons-right .input, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input,
+    html.theme--documenter-dark .control.has-icons-right .select select {
+      padding-right: 2.25em; }
+    html.theme--documenter-dark .control.has-icons-right .icon.is-right {
+      right: 0; }
+    html.theme--documenter-dark .control.is-loading::after {
+      position: absolute !important;
+      right: 0.625em;
+      top: 0.625em;
+      z-index: 4; }
+    html.theme--documenter-dark .control.is-loading.is-small:after, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .control.is-loading.is-medium:after {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .control.is-loading.is-large:after {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .breadcrumb {
+    font-size: 15px;
+    white-space: nowrap; }
+    html.theme--documenter-dark .breadcrumb a {
+      align-items: center;
+      color: #1abc9c;
+      display: flex;
+      justify-content: center;
+      padding: 0 0.75em; }
+      html.theme--documenter-dark .breadcrumb a:hover {
+        color: #1dd2af; }
+    html.theme--documenter-dark .breadcrumb li {
+      align-items: center;
+      display: flex; }
+      html.theme--documenter-dark .breadcrumb li:first-child a {
+        padding-left: 0; }
+      html.theme--documenter-dark .breadcrumb li.is-active a {
+        color: #f2f2f2;
+        cursor: default;
+        pointer-events: none; }
+      html.theme--documenter-dark .breadcrumb li + li::before {
+        color: #8c9b9d;
+        content: "\0002f"; }
+    html.theme--documenter-dark .breadcrumb ul,
+    html.theme--documenter-dark .breadcrumb ol {
+      align-items: flex-start;
+      display: flex;
+      flex-wrap: wrap;
+      justify-content: flex-start; }
+    html.theme--documenter-dark .breadcrumb .icon:first-child {
+      margin-right: 0.5em; }
+    html.theme--documenter-dark .breadcrumb .icon:last-child {
+      margin-left: 0.5em; }
+    html.theme--documenter-dark .breadcrumb.is-centered ol,
+    html.theme--documenter-dark .breadcrumb.is-centered ul {
+      justify-content: center; }
+    html.theme--documenter-dark .breadcrumb.is-right ol,
+    html.theme--documenter-dark .breadcrumb.is-right ul {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .breadcrumb.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.breadcrumb {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .breadcrumb.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .breadcrumb.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .breadcrumb.has-arrow-separator li + li::before {
+      content: "\02192"; }
+    html.theme--documenter-dark .breadcrumb.has-bullet-separator li + li::before {
+      content: "\02022"; }
+    html.theme--documenter-dark .breadcrumb.has-dot-separator li + li::before {
+      content: "\000b7"; }
+    html.theme--documenter-dark .breadcrumb.has-succeeds-separator li + li::before {
+      content: "\0227B"; }
+  html.theme--documenter-dark .card {
+    background-color: white;
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+    color: #fff;
+    max-width: 100%;
+    position: relative; }
+  html.theme--documenter-dark .card-header {
+    background-color: transparent;
+    align-items: stretch;
+    box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+    display: flex; }
+  html.theme--documenter-dark .card-header-title {
+    align-items: center;
+    color: #f2f2f2;
+    display: flex;
+    flex-grow: 1;
+    font-weight: 700;
+    padding: 0.75rem; }
+    html.theme--documenter-dark .card-header-title.is-centered {
+      justify-content: center; }
+  html.theme--documenter-dark .card-header-icon {
+    align-items: center;
+    cursor: pointer;
+    display: flex;
+    justify-content: center;
+    padding: 0.75rem; }
+  html.theme--documenter-dark .card-image {
+    display: block;
+    position: relative; }
+  html.theme--documenter-dark .card-content {
+    background-color: transparent;
+    padding: 1.5rem; }
+  html.theme--documenter-dark .card-footer {
+    background-color: transparent;
+    border-top: 1px solid #5e6d6f;
+    align-items: stretch;
+    display: flex; }
+  html.theme--documenter-dark .card-footer-item {
+    align-items: center;
+    display: flex;
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 0;
+    justify-content: center;
+    padding: 0.75rem; }
+    html.theme--documenter-dark .card-footer-item:not(:last-child) {
+      border-right: 1px solid #5e6d6f; }
+  html.theme--documenter-dark .card .media:not(:last-child) {
+    margin-bottom: 1.5rem; }
+  html.theme--documenter-dark .dropdown {
+    display: inline-flex;
+    position: relative;
+    vertical-align: top; }
+    html.theme--documenter-dark .dropdown.is-active .dropdown-menu, html.theme--documenter-dark .dropdown.is-hoverable:hover .dropdown-menu {
+      display: block; }
+    html.theme--documenter-dark .dropdown.is-right .dropdown-menu {
+      left: auto;
+      right: 0; }
+    html.theme--documenter-dark .dropdown.is-up .dropdown-menu {
+      bottom: 100%;
+      padding-bottom: 4px;
+      padding-top: initial;
+      top: auto; }
+  html.theme--documenter-dark .dropdown-menu {
+    display: none;
+    left: 0;
+    min-width: 12rem;
+    padding-top: 4px;
+    position: absolute;
+    top: 100%;
+    z-index: 20; }
+  html.theme--documenter-dark .dropdown-content {
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+    padding-bottom: 0.5rem;
+    padding-top: 0.5rem; }
+  html.theme--documenter-dark .dropdown-item {
+    color: #fff;
+    display: block;
+    font-size: 0.875rem;
+    line-height: 1.5;
+    padding: 0.375rem 1rem;
+    position: relative; }
+  html.theme--documenter-dark a.dropdown-item,
+  html.theme--documenter-dark button.dropdown-item {
+    padding-right: 3rem;
+    text-align: left;
+    white-space: nowrap;
+    width: 100%; }
+    html.theme--documenter-dark a.dropdown-item:hover,
+    html.theme--documenter-dark button.dropdown-item:hover {
+      background-color: #282f2f;
+      color: #0a0a0a; }
+    html.theme--documenter-dark a.dropdown-item.is-active,
+    html.theme--documenter-dark button.dropdown-item.is-active {
+      background-color: #1abc9c;
+      color: #fff; }
+  html.theme--documenter-dark .dropdown-divider {
+    background-color: #5e6d6f;
+    border: none;
+    display: block;
+    height: 1px;
+    margin: 0.5rem 0; }
+  html.theme--documenter-dark .level {
+    align-items: center;
+    justify-content: space-between; }
+    html.theme--documenter-dark .level code {
+      border-radius: 0.4em; }
+    html.theme--documenter-dark .level img {
+      display: inline-block;
+      vertical-align: top; }
+    html.theme--documenter-dark .level.is-mobile {
+      display: flex; }
+      html.theme--documenter-dark .level.is-mobile .level-left,
+      html.theme--documenter-dark .level.is-mobile .level-right {
+        display: flex; }
+      html.theme--documenter-dark .level.is-mobile .level-left + .level-right {
+        margin-top: 0; }
+      html.theme--documenter-dark .level.is-mobile .level-item:not(:last-child) {
+        margin-bottom: 0;
+        margin-right: 0.75rem; }
+      html.theme--documenter-dark .level.is-mobile .level-item:not(.is-narrow) {
+        flex-grow: 1; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level {
+        display: flex; }
+        html.theme--documenter-dark .level > .level-item:not(.is-narrow) {
+          flex-grow: 1; } }
+  html.theme--documenter-dark .level-item {
+    align-items: center;
+    display: flex;
+    flex-basis: auto;
+    flex-grow: 0;
+    flex-shrink: 0;
+    justify-content: center; }
+    html.theme--documenter-dark .level-item .title,
+    html.theme--documenter-dark .level-item .subtitle {
+      margin-bottom: 0; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .level-item:not(:last-child) {
+        margin-bottom: 0.75rem; } }
+  html.theme--documenter-dark .level-left,
+  html.theme--documenter-dark .level-right {
+    flex-basis: auto;
+    flex-grow: 0;
+    flex-shrink: 0; }
+    html.theme--documenter-dark .level-left .level-item.is-flexible,
+    html.theme--documenter-dark .level-right .level-item.is-flexible {
+      flex-grow: 1; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level-left .level-item:not(:last-child),
+      html.theme--documenter-dark .level-right .level-item:not(:last-child) {
+        margin-right: 0.75rem; } }
+  html.theme--documenter-dark .level-left {
+    align-items: center;
+    justify-content: flex-start; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .level-left + .level-right {
+        margin-top: 1.5rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level-left {
+        display: flex; } }
+  html.theme--documenter-dark .level-right {
+    align-items: center;
+    justify-content: flex-end; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level-right {
+        display: flex; } }
+  html.theme--documenter-dark .list {
+    background-color: white;
+    border-radius: 0.4em;
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); }
+  html.theme--documenter-dark .list-item {
+    display: block;
+    padding: 0.5em 1em; }
+    html.theme--documenter-dark .list-item:not(a) {
+      color: #fff; }
+    html.theme--documenter-dark .list-item:first-child {
+      border-top-left-radius: 0.4em;
+      border-top-right-radius: 0.4em; }
+    html.theme--documenter-dark .list-item:last-child {
+      border-bottom-left-radius: 0.4em;
+      border-bottom-right-radius: 0.4em; }
+    html.theme--documenter-dark .list-item:not(:last-child) {
+      border-bottom: 1px solid #5e6d6f; }
+    html.theme--documenter-dark .list-item.is-active {
+      background-color: #1abc9c;
+      color: #fff; }
+  html.theme--documenter-dark a.list-item {
+    background-color: #282f2f;
+    cursor: pointer; }
+  html.theme--documenter-dark .media {
+    align-items: flex-start;
+    display: flex;
+    text-align: left; }
+    html.theme--documenter-dark .media .content:not(:last-child) {
+      margin-bottom: 0.75rem; }
+    html.theme--documenter-dark .media .media {
+      border-top: 1px solid rgba(94, 109, 111, 0.5);
+      display: flex;
+      padding-top: 0.75rem; }
+      html.theme--documenter-dark .media .media .content:not(:last-child),
+      html.theme--documenter-dark .media .media .control:not(:last-child) {
+        margin-bottom: 0.5rem; }
+      html.theme--documenter-dark .media .media .media {
+        padding-top: 0.5rem; }
+        html.theme--documenter-dark .media .media .media + .media {
+          margin-top: 0.5rem; }
+    html.theme--documenter-dark .media + .media {
+      border-top: 1px solid rgba(94, 109, 111, 0.5);
+      margin-top: 1rem;
+      padding-top: 1rem; }
+    html.theme--documenter-dark .media.is-large + .media {
+      margin-top: 1.5rem;
+      padding-top: 1.5rem; }
+  html.theme--documenter-dark .media-left,
+  html.theme--documenter-dark .media-right {
+    flex-basis: auto;
+    flex-grow: 0;
+    flex-shrink: 0; }
+  html.theme--documenter-dark .media-left {
+    margin-right: 1rem; }
+  html.theme--documenter-dark .media-right {
+    margin-left: 1rem; }
+  html.theme--documenter-dark .media-content {
+    flex-basis: auto;
+    flex-grow: 1;
+    flex-shrink: 1;
+    text-align: left; }
+  @media screen and (max-width: 768px) {
+    html.theme--documenter-dark .media-content {
+      overflow-x: auto; } }
+  html.theme--documenter-dark .menu {
+    font-size: 15px; }
+    html.theme--documenter-dark .menu.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.menu {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .menu.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .menu.is-large {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .menu-list {
+    line-height: 1.25; }
+    html.theme--documenter-dark .menu-list a {
+      border-radius: 3px;
+      color: #fff;
+      display: block;
+      padding: 0.5em 0.75em; }
+      html.theme--documenter-dark .menu-list a:hover {
+        background-color: #282f2f;
+        color: #f2f2f2; }
+      html.theme--documenter-dark .menu-list a.is-active {
+        background-color: #1abc9c;
+        color: #fff; }
+    html.theme--documenter-dark .menu-list li ul {
+      border-left: 1px solid #5e6d6f;
+      margin: 0.75em;
+      padding-left: 0.75em; }
+  html.theme--documenter-dark .menu-label {
+    color: white;
+    font-size: 0.75em;
+    letter-spacing: 0.1em;
+    text-transform: uppercase; }
+    html.theme--documenter-dark .menu-label:not(:first-child) {
+      margin-top: 1em; }
+    html.theme--documenter-dark .menu-label:not(:last-child) {
+      margin-bottom: 1em; }
+  html.theme--documenter-dark .message {
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    font-size: 15px; }
+    html.theme--documenter-dark .message strong {
+      color: currentColor; }
+    html.theme--documenter-dark .message a:not(.button):not(.tag):not(.dropdown-item) {
+      color: currentColor;
+      text-decoration: underline; }
+    html.theme--documenter-dark .message.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.message {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .message.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .message.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .message.is-white {
+      background-color: white; }
+      html.theme--documenter-dark .message.is-white .message-header {
+        background-color: white;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .message.is-white .message-body {
+        border-color: white;
+        color: #4d4d4d; }
+    html.theme--documenter-dark .message.is-black {
+      background-color: #fafafa; }
+      html.theme--documenter-dark .message.is-black .message-header {
+        background-color: #0a0a0a;
+        color: white; }
+      html.theme--documenter-dark .message.is-black .message-body {
+        border-color: #0a0a0a;
+        color: #090909; }
+    html.theme--documenter-dark .message.is-light {
+      background-color: #f9fafb; }
+      html.theme--documenter-dark .message.is-light .message-header {
+        background-color: #ecf0f1;
+        color: #282f2f; }
+      html.theme--documenter-dark .message.is-light .message-body {
+        border-color: #ecf0f1;
+        color: #505050; }
+    html.theme--documenter-dark .message.is-dark, html.theme--documenter-dark .content kbd.message {
+      background-color: #f9fafa; }
+      html.theme--documenter-dark .message.is-dark .message-header, html.theme--documenter-dark .content kbd.message .message-header {
+        background-color: #282f2f;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .message.is-dark .message-body, html.theme--documenter-dark .content kbd.message .message-body {
+        border-color: #282f2f;
+        color: #212526; }
+    html.theme--documenter-dark .message.is-primary, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink {
+      background-color: #f8fafc; }
+      html.theme--documenter-dark .message.is-primary .message-header, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink .message-header {
+        background-color: #375a7f;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-primary .message-body, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink .message-body {
+        border-color: #375a7f;
+        color: #2b4159; }
+    html.theme--documenter-dark .message.is-link {
+      background-color: #f6fefc; }
+      html.theme--documenter-dark .message.is-link .message-header {
+        background-color: #1abc9c;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-link .message-body {
+        border-color: #1abc9c;
+        color: #0b2f28; }
+    html.theme--documenter-dark .message.is-info {
+      background-color: #f5fbff; }
+      html.theme--documenter-dark .message.is-info .message-header {
+        background-color: #024c7d;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-info .message-body {
+        border-color: #024c7d;
+        color: #033659; }
+    html.theme--documenter-dark .message.is-success {
+      background-color: #f5fff9; }
+      html.theme--documenter-dark .message.is-success .message-header {
+        background-color: #008438;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-success .message-body {
+        border-color: #008438;
+        color: #023518; }
+    html.theme--documenter-dark .message.is-warning {
+      background-color: #fffcf5; }
+      html.theme--documenter-dark .message.is-warning .message-header {
+        background-color: #ad8100;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-warning .message-body {
+        border-color: #ad8100;
+        color: #3d2e03; }
+    html.theme--documenter-dark .message.is-danger {
+      background-color: #fef6f6; }
+      html.theme--documenter-dark .message.is-danger .message-header {
+        background-color: #9e1b0d;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-danger .message-body {
+        border-color: #9e1b0d;
+        color: #7a170c; }
+  html.theme--documenter-dark .message-header {
+    align-items: center;
+    background-color: #fff;
+    border-radius: 0.4em 0.4em 0 0;
+    color: rgba(0, 0, 0, 0.7);
+    display: flex;
+    font-weight: 700;
+    justify-content: space-between;
+    line-height: 1.25;
+    padding: 0.75em 1em;
+    position: relative; }
+    html.theme--documenter-dark .message-header .delete {
+      flex-grow: 0;
+      flex-shrink: 0;
+      margin-left: 0.75em; }
+    html.theme--documenter-dark .message-header + .message-body {
+      border-width: 0;
+      border-top-left-radius: 0;
+      border-top-right-radius: 0; }
+  html.theme--documenter-dark .message-body {
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    border-style: solid;
+    border-width: 0 0 0 4px;
+    color: #fff;
+    padding: 1.25em 1.5em; }
+    html.theme--documenter-dark .message-body code,
+    html.theme--documenter-dark .message-body pre {
+      background-color: white; }
+    html.theme--documenter-dark .message-body pre code {
+      background-color: transparent; }
+  html.theme--documenter-dark .modal {
+    align-items: center;
+    display: none;
+    flex-direction: column;
+    justify-content: center;
+    overflow: hidden;
+    position: fixed;
+    z-index: 40; }
+    html.theme--documenter-dark .modal.is-active {
+      display: flex; }
+  html.theme--documenter-dark .modal-background {
+    background-color: rgba(10, 10, 10, 0.86); }
+  html.theme--documenter-dark .modal-content,
+  html.theme--documenter-dark .modal-card {
+    margin: 0 20px;
+    max-height: calc(100vh - 160px);
+    overflow: auto;
+    position: relative;
+    width: 100%; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .modal-content,
+      html.theme--documenter-dark .modal-card {
+        margin: 0 auto;
+        max-height: calc(100vh - 40px);
+        width: 640px; } }
+  html.theme--documenter-dark .modal-close {
+    background: none;
+    height: 40px;
+    position: fixed;
+    right: 20px;
+    top: 20px;
+    width: 40px; }
+  html.theme--documenter-dark .modal-card {
+    display: flex;
+    flex-direction: column;
+    max-height: calc(100vh - 40px);
+    overflow: hidden;
+    -ms-overflow-y: visible; }
+  html.theme--documenter-dark .modal-card-head,
+  html.theme--documenter-dark .modal-card-foot {
+    align-items: center;
+    background-color: #282f2f;
+    display: flex;
+    flex-shrink: 0;
+    justify-content: flex-start;
+    padding: 20px;
+    position: relative; }
+  html.theme--documenter-dark .modal-card-head {
+    border-bottom: 1px solid #5e6d6f;
+    border-top-left-radius: 8px;
+    border-top-right-radius: 8px; }
+  html.theme--documenter-dark .modal-card-title {
+    color: #f2f2f2;
+    flex-grow: 1;
+    flex-shrink: 0;
+    font-size: 1.5rem;
+    line-height: 1; }
+  html.theme--documenter-dark .modal-card-foot {
+    border-bottom-left-radius: 8px;
+    border-bottom-right-radius: 8px;
+    border-top: 1px solid #5e6d6f; }
+    html.theme--documenter-dark .modal-card-foot .button:not(:last-child) {
+      margin-right: 0.5em; }
+  html.theme--documenter-dark .modal-card-body {
+    -webkit-overflow-scrolling: touch;
+    background-color: white;
+    flex-grow: 1;
+    flex-shrink: 1;
+    overflow: auto;
+    padding: 20px; }
+  html.theme--documenter-dark .navbar {
+    background-color: #375a7f;
+    min-height: 4rem;
+    position: relative;
+    z-index: 30; }
+    html.theme--documenter-dark .navbar.is-white {
+      background-color: white;
+      color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link {
+        color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link.is-active {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link::after {
+        border-color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-burger {
+        color: #0a0a0a; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-white .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link {
+          color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link.is-active {
+          background-color: #f2f2f2;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link::after {
+          border-color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #f2f2f2;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-dropdown a.navbar-item.is-active {
+          background-color: white;
+          color: #0a0a0a; } }
+    html.theme--documenter-dark .navbar.is-black {
+      background-color: #0a0a0a;
+      color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link {
+        color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link.is-active {
+        background-color: black;
+        color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link::after {
+        border-color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-burger {
+        color: white; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-black .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link {
+          color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link.is-active {
+          background-color: black;
+          color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link::after {
+          border-color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: black;
+          color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-dropdown a.navbar-item.is-active {
+          background-color: #0a0a0a;
+          color: white; } }
+    html.theme--documenter-dark .navbar.is-light {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link {
+        color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link.is-active {
+        background-color: #dde4e6;
+        color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link::after {
+        border-color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-burger {
+        color: #282f2f; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-light .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link {
+          color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link.is-active {
+          background-color: #dde4e6;
+          color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link::after {
+          border-color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #dde4e6;
+          color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-dropdown a.navbar-item.is-active {
+          background-color: #ecf0f1;
+          color: #282f2f; } }
+    html.theme--documenter-dark .navbar.is-dark, html.theme--documenter-dark .content kbd.navbar {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand > .navbar-item, html.theme--documenter-dark .content kbd.navbar .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link {
+        color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link.is-active,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link.is-active {
+        background-color: #1d2122;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link::after, html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link::after {
+        border-color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-burger, html.theme--documenter-dark .content kbd.navbar .navbar-burger {
+        color: #ecf0f1; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-dark .navbar-start > .navbar-item, html.theme--documenter-dark .content kbd.navbar .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > .navbar-item,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link {
+          color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link.is-active,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link.is-active {
+          background-color: #1d2122;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link::after, html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link::after,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link::after {
+          border-color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown.is-active .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #1d2122;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-dropdown a.navbar-item.is-active {
+          background-color: #282f2f;
+          color: #ecf0f1; } }
+    html.theme--documenter-dark .navbar.is-primary, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink {
+      background-color: #375a7f;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand > .navbar-item, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link.is-active,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link.is-active {
+        background-color: #2f4d6d;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link::after, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-burger, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-primary .navbar-start > .navbar-item, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > .navbar-item,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link.is-active,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link.is-active {
+          background-color: #2f4d6d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link::after, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link::after,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown.is-active .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #2f4d6d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active {
+          background-color: #375a7f;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-link {
+      background-color: #1abc9c;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link.is-active {
+        background-color: #17a689;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-link .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link.is-active {
+          background-color: #17a689;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #17a689;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-dropdown a.navbar-item.is-active {
+          background-color: #1abc9c;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-info {
+      background-color: #024c7d;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link.is-active {
+        background-color: #023d64;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-info .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link.is-active {
+          background-color: #023d64;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #023d64;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-dropdown a.navbar-item.is-active {
+          background-color: #024c7d;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-success {
+      background-color: #008438;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link.is-active {
+        background-color: #006b2d;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-success .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link.is-active {
+          background-color: #006b2d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #006b2d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-dropdown a.navbar-item.is-active {
+          background-color: #008438;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-warning {
+      background-color: #ad8100;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link.is-active {
+        background-color: #946e00;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-warning .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link.is-active {
+          background-color: #946e00;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #946e00;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-dropdown a.navbar-item.is-active {
+          background-color: #ad8100;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-danger {
+      background-color: #9e1b0d;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link.is-active {
+        background-color: #86170b;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-danger .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link.is-active {
+          background-color: #86170b;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #86170b;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-dropdown a.navbar-item.is-active {
+          background-color: #9e1b0d;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar > .container {
+      align-items: stretch;
+      display: flex;
+      min-height: 4rem;
+      width: 100%; }
+    html.theme--documenter-dark .navbar.has-shadow {
+      box-shadow: 0 2px 0 0 #282f2f; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom, html.theme--documenter-dark .navbar.is-fixed-top {
+      left: 0;
+      position: fixed;
+      right: 0;
+      z-index: 30; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom {
+      bottom: 0; }
+      html.theme--documenter-dark .navbar.is-fixed-bottom.has-shadow {
+        box-shadow: 0 -2px 0 0 #282f2f; }
+    html.theme--documenter-dark .navbar.is-fixed-top {
+      top: 0; }
+  html.theme--documenter-dark html.has-navbar-fixed-top,
+  html.theme--documenter-dark body.has-navbar-fixed-top {
+    padding-top: 4rem; }
+  html.theme--documenter-dark html.has-navbar-fixed-bottom,
+  html.theme--documenter-dark body.has-navbar-fixed-bottom {
+    padding-bottom: 4rem; }
+  html.theme--documenter-dark .navbar-brand,
+  html.theme--documenter-dark .navbar-tabs {
+    align-items: stretch;
+    display: flex;
+    flex-shrink: 0;
+    min-height: 4rem; }
+  html.theme--documenter-dark .navbar-brand a.navbar-item:focus, html.theme--documenter-dark .navbar-brand a.navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .navbar-tabs {
+    -webkit-overflow-scrolling: touch;
+    max-width: 100vw;
+    overflow-x: auto;
+    overflow-y: hidden; }
+  html.theme--documenter-dark .navbar-burger {
+    color: #fff;
+    cursor: pointer;
+    display: block;
+    height: 4rem;
+    position: relative;
+    width: 4rem;
+    margin-left: auto; }
+    html.theme--documenter-dark .navbar-burger span {
+      background-color: currentColor;
+      display: block;
+      height: 1px;
+      left: calc(50% - 8px);
+      position: absolute;
+      transform-origin: center;
+      transition-duration: 86ms;
+      transition-property: background-color, opacity, transform;
+      transition-timing-function: ease-out;
+      width: 16px; }
+      html.theme--documenter-dark .navbar-burger span:nth-child(1) {
+        top: calc(50% - 6px); }
+      html.theme--documenter-dark .navbar-burger span:nth-child(2) {
+        top: calc(50% - 1px); }
+      html.theme--documenter-dark .navbar-burger span:nth-child(3) {
+        top: calc(50% + 4px); }
+    html.theme--documenter-dark .navbar-burger:hover {
+      background-color: rgba(0, 0, 0, 0.05); }
+    html.theme--documenter-dark .navbar-burger.is-active span:nth-child(1) {
+      transform: translateY(5px) rotate(45deg); }
+    html.theme--documenter-dark .navbar-burger.is-active span:nth-child(2) {
+      opacity: 0; }
+    html.theme--documenter-dark .navbar-burger.is-active span:nth-child(3) {
+      transform: translateY(-5px) rotate(-45deg); }
+  html.theme--documenter-dark .navbar-menu {
+    display: none; }
+  html.theme--documenter-dark .navbar-item,
+  html.theme--documenter-dark .navbar-link {
+    color: #fff;
+    display: block;
+    line-height: 1.5;
+    padding: 0.5rem 0.75rem;
+    position: relative; }
+    html.theme--documenter-dark .navbar-item .icon:only-child,
+    html.theme--documenter-dark .navbar-link .icon:only-child {
+      margin-left: -0.25rem;
+      margin-right: -0.25rem; }
+  html.theme--documenter-dark a.navbar-item,
+  html.theme--documenter-dark .navbar-link {
+    cursor: pointer; }
+    html.theme--documenter-dark a.navbar-item:focus, html.theme--documenter-dark a.navbar-item:focus-within, html.theme--documenter-dark a.navbar-item:hover, html.theme--documenter-dark a.navbar-item.is-active,
+    html.theme--documenter-dark .navbar-link:focus,
+    html.theme--documenter-dark .navbar-link:focus-within,
+    html.theme--documenter-dark .navbar-link:hover,
+    html.theme--documenter-dark .navbar-link.is-active {
+      background-color: transparent;
+      color: #1abc9c; }
+  html.theme--documenter-dark .navbar-item {
+    display: block;
+    flex-grow: 0;
+    flex-shrink: 0; }
+    html.theme--documenter-dark .navbar-item img {
+      max-height: 1.75rem; }
+    html.theme--documenter-dark .navbar-item.has-dropdown {
+      padding: 0; }
+    html.theme--documenter-dark .navbar-item.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .navbar-item.is-tab {
+      border-bottom: 1px solid transparent;
+      min-height: 4rem;
+      padding-bottom: calc(0.5rem - 1px); }
+      html.theme--documenter-dark .navbar-item.is-tab:focus, html.theme--documenter-dark .navbar-item.is-tab:hover {
+        background-color: transparent;
+        border-bottom-color: #1abc9c; }
+      html.theme--documenter-dark .navbar-item.is-tab.is-active {
+        background-color: transparent;
+        border-bottom-color: #1abc9c;
+        border-bottom-style: solid;
+        border-bottom-width: 3px;
+        color: #1abc9c;
+        padding-bottom: calc(0.5rem - 3px); }
+  html.theme--documenter-dark .navbar-content {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  html.theme--documenter-dark .navbar-link:not(.is-arrowless) {
+    padding-right: 2.5em; }
+    html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after {
+      border-color: #fff;
+      margin-top: -0.375em;
+      right: 1.125em; }
+  html.theme--documenter-dark .navbar-dropdown {
+    font-size: 0.875rem;
+    padding-bottom: 0.5rem;
+    padding-top: 0.5rem; }
+    html.theme--documenter-dark .navbar-dropdown .navbar-item {
+      padding-left: 1.5rem;
+      padding-right: 1.5rem; }
+  html.theme--documenter-dark .navbar-divider {
+    background-color: rgba(0, 0, 0, 0.2);
+    border: none;
+    display: none;
+    height: 2px;
+    margin: 0.5rem 0; }
+  @media screen and (max-width: 1055px) {
+    html.theme--documenter-dark .navbar > .container {
+      display: block; }
+    html.theme--documenter-dark .navbar-brand .navbar-item,
+    html.theme--documenter-dark .navbar-tabs .navbar-item {
+      align-items: center;
+      display: flex; }
+    html.theme--documenter-dark .navbar-link::after {
+      display: none; }
+    html.theme--documenter-dark .navbar-menu {
+      background-color: #375a7f;
+      box-shadow: 0 8px 16px rgba(10, 10, 10, 0.1);
+      padding: 0.5rem 0; }
+      html.theme--documenter-dark .navbar-menu.is-active {
+        display: block; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-touch, html.theme--documenter-dark .navbar.is-fixed-top-touch {
+      left: 0;
+      position: fixed;
+      right: 0;
+      z-index: 30; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-touch {
+      bottom: 0; }
+      html.theme--documenter-dark .navbar.is-fixed-bottom-touch.has-shadow {
+        box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+    html.theme--documenter-dark .navbar.is-fixed-top-touch {
+      top: 0; }
+    html.theme--documenter-dark .navbar.is-fixed-top .navbar-menu, html.theme--documenter-dark .navbar.is-fixed-top-touch .navbar-menu {
+      -webkit-overflow-scrolling: touch;
+      max-height: calc(100vh - 4rem);
+      overflow: auto; }
+    html.theme--documenter-dark html.has-navbar-fixed-top-touch,
+    html.theme--documenter-dark body.has-navbar-fixed-top-touch {
+      padding-top: 4rem; }
+    html.theme--documenter-dark html.has-navbar-fixed-bottom-touch,
+    html.theme--documenter-dark body.has-navbar-fixed-bottom-touch {
+      padding-bottom: 4rem; } }
+  @media screen and (min-width: 1056px) {
+    html.theme--documenter-dark .navbar,
+    html.theme--documenter-dark .navbar-menu,
+    html.theme--documenter-dark .navbar-start,
+    html.theme--documenter-dark .navbar-end {
+      align-items: stretch;
+      display: flex; }
+    html.theme--documenter-dark .navbar {
+      min-height: 4rem; }
+      html.theme--documenter-dark .navbar.is-spaced {
+        padding: 1rem 2rem; }
+        html.theme--documenter-dark .navbar.is-spaced .navbar-start,
+        html.theme--documenter-dark .navbar.is-spaced .navbar-end {
+          align-items: center; }
+        html.theme--documenter-dark .navbar.is-spaced a.navbar-item,
+        html.theme--documenter-dark .navbar.is-spaced .navbar-link {
+          border-radius: 0.4em; }
+      html.theme--documenter-dark .navbar.is-transparent a.navbar-item:focus, html.theme--documenter-dark .navbar.is-transparent a.navbar-item:hover, html.theme--documenter-dark .navbar.is-transparent a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-transparent .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-transparent .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-transparent .navbar-link.is-active {
+        background-color: transparent !important; }
+      html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-active .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus-within .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:hover .navbar-link {
+        background-color: transparent !important; }
+      html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item:focus, html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item:hover {
+        background-color: transparent;
+        color: #dbdee0; }
+      html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item.is-active {
+        background-color: transparent;
+        color: #1abc9c; }
+    html.theme--documenter-dark .navbar-burger {
+      display: none; }
+    html.theme--documenter-dark .navbar-item,
+    html.theme--documenter-dark .navbar-link {
+      align-items: center;
+      display: flex; }
+    html.theme--documenter-dark .navbar-item {
+      display: flex; }
+      html.theme--documenter-dark .navbar-item.has-dropdown {
+        align-items: stretch; }
+      html.theme--documenter-dark .navbar-item.has-dropdown-up .navbar-link::after {
+        transform: rotate(135deg) translate(0.25em, -0.25em); }
+      html.theme--documenter-dark .navbar-item.has-dropdown-up .navbar-dropdown {
+        border-bottom: 1px solid rgba(0, 0, 0, 0.2);
+        border-radius: 8px 8px 0 0;
+        border-top: none;
+        bottom: 100%;
+        box-shadow: 0 -8px 8px rgba(10, 10, 10, 0.1);
+        top: auto; }
+      html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown {
+        display: block; }
+        .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed {
+          opacity: 1;
+          pointer-events: auto;
+          transform: translateY(0); }
+    html.theme--documenter-dark .navbar-menu {
+      flex-grow: 1;
+      flex-shrink: 0; }
+    html.theme--documenter-dark .navbar-start {
+      justify-content: flex-start;
+      margin-right: auto; }
+    html.theme--documenter-dark .navbar-end {
+      justify-content: flex-end;
+      margin-left: auto; }
+    html.theme--documenter-dark .navbar-dropdown {
+      background-color: #375a7f;
+      border-bottom-left-radius: 8px;
+      border-bottom-right-radius: 8px;
+      border-top: 1px solid rgba(0, 0, 0, 0.2);
+      box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1);
+      display: none;
+      font-size: 0.875rem;
+      left: 0;
+      min-width: 100%;
+      position: absolute;
+      top: 100%;
+      z-index: 20; }
+      html.theme--documenter-dark .navbar-dropdown .navbar-item {
+        padding: 0.375rem 1rem;
+        white-space: nowrap; }
+      html.theme--documenter-dark .navbar-dropdown a.navbar-item {
+        padding-right: 3rem; }
+        html.theme--documenter-dark .navbar-dropdown a.navbar-item:focus, html.theme--documenter-dark .navbar-dropdown a.navbar-item:hover {
+          background-color: transparent;
+          color: #dbdee0; }
+        html.theme--documenter-dark .navbar-dropdown a.navbar-item.is-active {
+          background-color: transparent;
+          color: #1abc9c; }
+      .navbar.is-spaced html.theme--documenter-dark .navbar-dropdown, html.theme--documenter-dark .navbar-dropdown.is-boxed {
+        border-radius: 8px;
+        border-top: none;
+        box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+        display: block;
+        opacity: 0;
+        pointer-events: none;
+        top: calc(100% + (-4px));
+        transform: translateY(-5px);
+        transition-duration: 86ms;
+        transition-property: opacity, transform; }
+      html.theme--documenter-dark .navbar-dropdown.is-right {
+        left: auto;
+        right: 0; }
+    html.theme--documenter-dark .navbar-divider {
+      display: block; }
+    html.theme--documenter-dark .navbar > .container .navbar-brand,
+    html.theme--documenter-dark .container > .navbar .navbar-brand {
+      margin-left: -.75rem; }
+    html.theme--documenter-dark .navbar > .container .navbar-menu,
+    html.theme--documenter-dark .container > .navbar .navbar-menu {
+      margin-right: -.75rem; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-desktop, html.theme--documenter-dark .navbar.is-fixed-top-desktop {
+      left: 0;
+      position: fixed;
+      right: 0;
+      z-index: 30; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-desktop {
+      bottom: 0; }
+      html.theme--documenter-dark .navbar.is-fixed-bottom-desktop.has-shadow {
+        box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+    html.theme--documenter-dark .navbar.is-fixed-top-desktop {
+      top: 0; }
+    html.theme--documenter-dark html.has-navbar-fixed-top-desktop,
+    html.theme--documenter-dark body.has-navbar-fixed-top-desktop {
+      padding-top: 4rem; }
+    html.theme--documenter-dark html.has-navbar-fixed-bottom-desktop,
+    html.theme--documenter-dark body.has-navbar-fixed-bottom-desktop {
+      padding-bottom: 4rem; }
+    html.theme--documenter-dark html.has-spaced-navbar-fixed-top,
+    html.theme--documenter-dark body.has-spaced-navbar-fixed-top {
+      padding-top: 6rem; }
+    html.theme--documenter-dark html.has-spaced-navbar-fixed-bottom,
+    html.theme--documenter-dark body.has-spaced-navbar-fixed-bottom {
+      padding-bottom: 6rem; }
+    html.theme--documenter-dark a.navbar-item.is-active,
+    html.theme--documenter-dark .navbar-link.is-active {
+      color: #1abc9c; }
+    html.theme--documenter-dark a.navbar-item.is-active:not(:focus):not(:hover),
+    html.theme--documenter-dark .navbar-link.is-active:not(:focus):not(:hover) {
+      background-color: transparent; }
+    html.theme--documenter-dark .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .navbar-item.has-dropdown:hover .navbar-link, html.theme--documenter-dark .navbar-item.has-dropdown.is-active .navbar-link {
+      background-color: transparent; } }
+  html.theme--documenter-dark .hero.is-fullheight-with-navbar {
+    min-height: calc(100vh - 4rem); }
+  html.theme--documenter-dark .pagination {
+    font-size: 15px;
+    margin: -0.25rem; }
+    html.theme--documenter-dark .pagination.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .pagination.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .pagination.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .pagination.is-rounded .pagination-previous, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-previous,
+    html.theme--documenter-dark .pagination.is-rounded .pagination-next,
+    html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-next {
+      padding-left: 1em;
+      padding-right: 1em;
+      border-radius: 290486px; }
+    html.theme--documenter-dark .pagination.is-rounded .pagination-link, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-link {
+      border-radius: 290486px; }
+  html.theme--documenter-dark .pagination,
+  html.theme--documenter-dark .pagination-list {
+    align-items: center;
+    display: flex;
+    justify-content: center;
+    text-align: center; }
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark .pagination-ellipsis {
+    font-size: 1em;
+    justify-content: center;
+    margin: 0.25rem;
+    padding-left: 0.5em;
+    padding-right: 0.5em;
+    text-align: center; }
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-link {
+    border-color: #5e6d6f;
+    color: #1abc9c;
+    min-width: 2.25em; }
+    html.theme--documenter-dark .pagination-previous:hover,
+    html.theme--documenter-dark .pagination-next:hover,
+    html.theme--documenter-dark .pagination-link:hover {
+      border-color: #8c9b9d;
+      color: #1dd2af; }
+    html.theme--documenter-dark .pagination-previous:focus,
+    html.theme--documenter-dark .pagination-next:focus,
+    html.theme--documenter-dark .pagination-link:focus {
+      border-color: #8c9b9d; }
+    html.theme--documenter-dark .pagination-previous:active,
+    html.theme--documenter-dark .pagination-next:active,
+    html.theme--documenter-dark .pagination-link:active {
+      box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2); }
+    html.theme--documenter-dark .pagination-previous[disabled],
+    html.theme--documenter-dark .pagination-next[disabled],
+    html.theme--documenter-dark .pagination-link[disabled] {
+      background-color: #dbdee0;
+      border-color: #dbdee0;
+      box-shadow: none;
+      color: #5e6d6f;
+      opacity: 0.5; }
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .pagination-next {
+    padding-left: 0.75em;
+    padding-right: 0.75em;
+    white-space: nowrap; }
+  html.theme--documenter-dark .pagination-link.is-current {
+    background-color: #1abc9c;
+    border-color: #1abc9c;
+    color: #fff; }
+  html.theme--documenter-dark .pagination-ellipsis {
+    color: #8c9b9d;
+    pointer-events: none; }
+  html.theme--documenter-dark .pagination-list {
+    flex-wrap: wrap; }
+  @media screen and (max-width: 768px) {
+    html.theme--documenter-dark .pagination {
+      flex-wrap: wrap; }
+    html.theme--documenter-dark .pagination-previous,
+    html.theme--documenter-dark .pagination-next {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .pagination-list li {
+      flex-grow: 1;
+      flex-shrink: 1; } }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .pagination-list {
+      flex-grow: 1;
+      flex-shrink: 1;
+      justify-content: flex-start;
+      order: 1; }
+    html.theme--documenter-dark .pagination-previous {
+      order: 2; }
+    html.theme--documenter-dark .pagination-next {
+      order: 3; }
+    html.theme--documenter-dark .pagination {
+      justify-content: space-between; }
+      html.theme--documenter-dark .pagination.is-centered .pagination-previous {
+        order: 1; }
+      html.theme--documenter-dark .pagination.is-centered .pagination-list {
+        justify-content: center;
+        order: 2; }
+      html.theme--documenter-dark .pagination.is-centered .pagination-next {
+        order: 3; }
+      html.theme--documenter-dark .pagination.is-right .pagination-previous {
+        order: 1; }
+      html.theme--documenter-dark .pagination.is-right .pagination-next {
+        order: 2; }
+      html.theme--documenter-dark .pagination.is-right .pagination-list {
+        justify-content: flex-end;
+        order: 3; } }
+  html.theme--documenter-dark .panel {
+    font-size: 15px; }
+    html.theme--documenter-dark .panel:not(:last-child) {
+      margin-bottom: 1.5rem; }
+  html.theme--documenter-dark .panel-heading,
+  html.theme--documenter-dark .panel-tabs,
+  html.theme--documenter-dark .panel-block {
+    border-bottom: 1px solid #5e6d6f;
+    border-left: 1px solid #5e6d6f;
+    border-right: 1px solid #5e6d6f; }
+    html.theme--documenter-dark .panel-heading:first-child,
+    html.theme--documenter-dark .panel-tabs:first-child,
+    html.theme--documenter-dark .panel-block:first-child {
+      border-top: 1px solid #5e6d6f; }
+  html.theme--documenter-dark .panel-heading {
+    background-color: #282f2f;
+    border-radius: 0.4em 0.4em 0 0;
+    color: #f2f2f2;
+    font-size: 1.25em;
+    font-weight: 300;
+    line-height: 1.25;
+    padding: 0.5em 0.75em; }
+  html.theme--documenter-dark .panel-tabs {
+    align-items: flex-end;
+    display: flex;
+    font-size: 0.875em;
+    justify-content: center; }
+    html.theme--documenter-dark .panel-tabs a {
+      border-bottom: 1px solid #5e6d6f;
+      margin-bottom: -1px;
+      padding: 0.5em; }
+      html.theme--documenter-dark .panel-tabs a.is-active {
+        border-bottom-color: #343c3d;
+        color: #17a689; }
+  html.theme--documenter-dark .panel-list a {
+    color: #fff; }
+    html.theme--documenter-dark .panel-list a:hover {
+      color: #1abc9c; }
+  html.theme--documenter-dark .panel-block {
+    align-items: center;
+    color: #f2f2f2;
+    display: flex;
+    justify-content: flex-start;
+    padding: 0.5em 0.75em; }
+    html.theme--documenter-dark .panel-block input[type="checkbox"] {
+      margin-right: 0.75em; }
+    html.theme--documenter-dark .panel-block > .control {
+      flex-grow: 1;
+      flex-shrink: 1;
+      width: 100%; }
+    html.theme--documenter-dark .panel-block.is-wrapped {
+      flex-wrap: wrap; }
+    html.theme--documenter-dark .panel-block.is-active {
+      border-left-color: #1abc9c;
+      color: #17a689; }
+      html.theme--documenter-dark .panel-block.is-active .panel-icon {
+        color: #1abc9c; }
+  html.theme--documenter-dark a.panel-block,
+  html.theme--documenter-dark label.panel-block {
+    cursor: pointer; }
+    html.theme--documenter-dark a.panel-block:hover,
+    html.theme--documenter-dark label.panel-block:hover {
+      background-color: #282f2f; }
+  html.theme--documenter-dark .panel-icon {
+    display: inline-block;
+    font-size: 14px;
+    height: 1em;
+    line-height: 1em;
+    text-align: center;
+    vertical-align: top;
+    width: 1em;
+    color: white;
+    margin-right: 0.75em; }
+    html.theme--documenter-dark .panel-icon .fa {
+      font-size: inherit;
+      line-height: inherit; }
+  html.theme--documenter-dark .tabs {
+    -webkit-overflow-scrolling: touch;
+    align-items: stretch;
+    display: flex;
+    font-size: 15px;
+    justify-content: space-between;
+    overflow: hidden;
+    overflow-x: auto;
+    white-space: nowrap; }
+    html.theme--documenter-dark .tabs a {
+      align-items: center;
+      border-bottom-color: #5e6d6f;
+      border-bottom-style: solid;
+      border-bottom-width: 1px;
+      color: #fff;
+      display: flex;
+      justify-content: center;
+      margin-bottom: -1px;
+      padding: 0.5em 1em;
+      vertical-align: top; }
+      html.theme--documenter-dark .tabs a:hover {
+        border-bottom-color: #f2f2f2;
+        color: #f2f2f2; }
+    html.theme--documenter-dark .tabs li {
+      display: block; }
+      html.theme--documenter-dark .tabs li.is-active a {
+        border-bottom-color: #1abc9c;
+        color: #1abc9c; }
+    html.theme--documenter-dark .tabs ul {
+      align-items: center;
+      border-bottom-color: #5e6d6f;
+      border-bottom-style: solid;
+      border-bottom-width: 1px;
+      display: flex;
+      flex-grow: 1;
+      flex-shrink: 0;
+      justify-content: flex-start; }
+      html.theme--documenter-dark .tabs ul.is-left {
+        padding-right: 0.75em; }
+      html.theme--documenter-dark .tabs ul.is-center {
+        flex: none;
+        justify-content: center;
+        padding-left: 0.75em;
+        padding-right: 0.75em; }
+      html.theme--documenter-dark .tabs ul.is-right {
+        justify-content: flex-end;
+        padding-left: 0.75em; }
+    html.theme--documenter-dark .tabs .icon:first-child {
+      margin-right: 0.5em; }
+    html.theme--documenter-dark .tabs .icon:last-child {
+      margin-left: 0.5em; }
+    html.theme--documenter-dark .tabs.is-centered ul {
+      justify-content: center; }
+    html.theme--documenter-dark .tabs.is-right ul {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .tabs.is-boxed a {
+      border: 1px solid transparent;
+      border-radius: 0.4em 0.4em 0 0; }
+      html.theme--documenter-dark .tabs.is-boxed a:hover {
+        background-color: #282f2f;
+        border-bottom-color: #5e6d6f; }
+    html.theme--documenter-dark .tabs.is-boxed li.is-active a {
+      background-color: white;
+      border-color: #5e6d6f;
+      border-bottom-color: transparent !important; }
+    html.theme--documenter-dark .tabs.is-fullwidth li {
+      flex-grow: 1;
+      flex-shrink: 0; }
+    html.theme--documenter-dark .tabs.is-toggle a {
+      border-color: #5e6d6f;
+      border-style: solid;
+      border-width: 1px;
+      margin-bottom: 0;
+      position: relative; }
+      html.theme--documenter-dark .tabs.is-toggle a:hover {
+        background-color: #282f2f;
+        border-color: #8c9b9d;
+        z-index: 2; }
+    html.theme--documenter-dark .tabs.is-toggle li + li {
+      margin-left: -1px; }
+    html.theme--documenter-dark .tabs.is-toggle li:first-child a {
+      border-radius: 0.4em 0 0 0.4em; }
+    html.theme--documenter-dark .tabs.is-toggle li:last-child a {
+      border-radius: 0 0.4em 0.4em 0; }
+    html.theme--documenter-dark .tabs.is-toggle li.is-active a {
+      background-color: #1abc9c;
+      border-color: #1abc9c;
+      color: #fff;
+      z-index: 1; }
+    html.theme--documenter-dark .tabs.is-toggle ul {
+      border-bottom: none; }
+    html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:first-child a {
+      border-bottom-left-radius: 290486px;
+      border-top-left-radius: 290486px;
+      padding-left: 1.25em; }
+    html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:last-child a {
+      border-bottom-right-radius: 290486px;
+      border-top-right-radius: 290486px;
+      padding-right: 1.25em; }
+    html.theme--documenter-dark .tabs.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.tabs {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .tabs.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .tabs.is-large {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .column {
+    display: block;
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 1;
+    padding: 0.75rem; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-narrow {
+      flex: none; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-full {
+      flex: none;
+      width: 100%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-three-quarters {
+      flex: none;
+      width: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-two-thirds {
+      flex: none;
+      width: 66.6666%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-half {
+      flex: none;
+      width: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-one-third {
+      flex: none;
+      width: 33.3333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-one-quarter {
+      flex: none;
+      width: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-one-fifth {
+      flex: none;
+      width: 20%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-two-fifths {
+      flex: none;
+      width: 40%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-three-fifths {
+      flex: none;
+      width: 60%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-four-fifths {
+      flex: none;
+      width: 80%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-three-quarters {
+      margin-left: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-two-thirds {
+      margin-left: 66.6666%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-half {
+      margin-left: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-third {
+      margin-left: 33.3333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-quarter {
+      margin-left: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-fifth {
+      margin-left: 20%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-two-fifths {
+      margin-left: 40%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-three-fifths {
+      margin-left: 60%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-four-fifths {
+      margin-left: 80%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-0 {
+      flex: none;
+      width: 0%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-0 {
+      margin-left: 0%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-1 {
+      flex: none;
+      width: 8.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-1 {
+      margin-left: 8.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-2 {
+      flex: none;
+      width: 16.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-2 {
+      margin-left: 16.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-3 {
+      flex: none;
+      width: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-3 {
+      margin-left: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-4 {
+      flex: none;
+      width: 33.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-4 {
+      margin-left: 33.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-5 {
+      flex: none;
+      width: 41.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-5 {
+      margin-left: 41.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-6 {
+      flex: none;
+      width: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-6 {
+      margin-left: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-7 {
+      flex: none;
+      width: 58.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-7 {
+      margin-left: 58.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-8 {
+      flex: none;
+      width: 66.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-8 {
+      margin-left: 66.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-9 {
+      flex: none;
+      width: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-9 {
+      margin-left: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-10 {
+      flex: none;
+      width: 83.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-10 {
+      margin-left: 83.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-11 {
+      flex: none;
+      width: 91.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-11 {
+      margin-left: 91.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-12 {
+      flex: none;
+      width: 100%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-12 {
+      margin-left: 100%; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .column.is-narrow-mobile {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-mobile {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-mobile {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-mobile {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-mobile {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-mobile {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-mobile {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-mobile {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-mobile {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-mobile {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-mobile {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-mobile {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-mobile {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-mobile {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-mobile {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-mobile {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-mobile {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-mobile {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-mobile {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-mobile {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-mobile {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-mobile {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-mobile {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-mobile {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-mobile {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-mobile {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-mobile {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-mobile {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-mobile {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-mobile {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-mobile {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-mobile {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-mobile {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-mobile {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-mobile {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-mobile {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-mobile {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-mobile {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-mobile {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-mobile {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-mobile {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-mobile {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-mobile {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-mobile {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-mobile {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-mobile {
+        margin-left: 100%; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .column.is-narrow, html.theme--documenter-dark .column.is-narrow-tablet {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full, html.theme--documenter-dark .column.is-full-tablet {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters, html.theme--documenter-dark .column.is-three-quarters-tablet {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds, html.theme--documenter-dark .column.is-two-thirds-tablet {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half, html.theme--documenter-dark .column.is-half-tablet {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third, html.theme--documenter-dark .column.is-one-third-tablet {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter, html.theme--documenter-dark .column.is-one-quarter-tablet {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth, html.theme--documenter-dark .column.is-one-fifth-tablet {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths, html.theme--documenter-dark .column.is-two-fifths-tablet {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths, html.theme--documenter-dark .column.is-three-fifths-tablet {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths, html.theme--documenter-dark .column.is-four-fifths-tablet {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters, html.theme--documenter-dark .column.is-offset-three-quarters-tablet {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds, html.theme--documenter-dark .column.is-offset-two-thirds-tablet {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half, html.theme--documenter-dark .column.is-offset-half-tablet {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third, html.theme--documenter-dark .column.is-offset-one-third-tablet {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter, html.theme--documenter-dark .column.is-offset-one-quarter-tablet {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth, html.theme--documenter-dark .column.is-offset-one-fifth-tablet {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths, html.theme--documenter-dark .column.is-offset-two-fifths-tablet {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths, html.theme--documenter-dark .column.is-offset-three-fifths-tablet {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths, html.theme--documenter-dark .column.is-offset-four-fifths-tablet {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0, html.theme--documenter-dark .column.is-0-tablet {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0, html.theme--documenter-dark .column.is-offset-0-tablet {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1, html.theme--documenter-dark .column.is-1-tablet {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1, html.theme--documenter-dark .column.is-offset-1-tablet {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2, html.theme--documenter-dark .column.is-2-tablet {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2, html.theme--documenter-dark .column.is-offset-2-tablet {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3, html.theme--documenter-dark .column.is-3-tablet {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3, html.theme--documenter-dark .column.is-offset-3-tablet {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4, html.theme--documenter-dark .column.is-4-tablet {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4, html.theme--documenter-dark .column.is-offset-4-tablet {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5, html.theme--documenter-dark .column.is-5-tablet {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5, html.theme--documenter-dark .column.is-offset-5-tablet {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6, html.theme--documenter-dark .column.is-6-tablet {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6, html.theme--documenter-dark .column.is-offset-6-tablet {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7, html.theme--documenter-dark .column.is-7-tablet {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7, html.theme--documenter-dark .column.is-offset-7-tablet {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8, html.theme--documenter-dark .column.is-8-tablet {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8, html.theme--documenter-dark .column.is-offset-8-tablet {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9, html.theme--documenter-dark .column.is-9-tablet {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9, html.theme--documenter-dark .column.is-offset-9-tablet {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10, html.theme--documenter-dark .column.is-10-tablet {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10, html.theme--documenter-dark .column.is-offset-10-tablet {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11, html.theme--documenter-dark .column.is-11-tablet {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11, html.theme--documenter-dark .column.is-offset-11-tablet {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12, html.theme--documenter-dark .column.is-12-tablet {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12, html.theme--documenter-dark .column.is-offset-12-tablet {
+        margin-left: 100%; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .column.is-narrow-touch {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-touch {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-touch {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-touch {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-touch {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-touch {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-touch {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-touch {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-touch {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-touch {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-touch {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-touch {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-touch {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-touch {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-touch {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-touch {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-touch {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-touch {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-touch {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-touch {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-touch {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-touch {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-touch {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-touch {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-touch {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-touch {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-touch {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-touch {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-touch {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-touch {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-touch {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-touch {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-touch {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-touch {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-touch {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-touch {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-touch {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-touch {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-touch {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-touch {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-touch {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-touch {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-touch {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-touch {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-touch {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-touch {
+        margin-left: 100%; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .column.is-narrow-desktop {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-desktop {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-desktop {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-desktop {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-desktop {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-desktop {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-desktop {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-desktop {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-desktop {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-desktop {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-desktop {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-desktop {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-desktop {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-desktop {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-desktop {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-desktop {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-desktop {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-desktop {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-desktop {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-desktop {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-desktop {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-desktop {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-desktop {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-desktop {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-desktop {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-desktop {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-desktop {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-desktop {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-desktop {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-desktop {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-desktop {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-desktop {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-desktop {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-desktop {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-desktop {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-desktop {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-desktop {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-desktop {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-desktop {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-desktop {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-desktop {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-desktop {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-desktop {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-desktop {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-desktop {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-desktop {
+        margin-left: 100%; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .column.is-narrow-widescreen {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-widescreen {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-widescreen {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-widescreen {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-widescreen {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-widescreen {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-widescreen {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-widescreen {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-widescreen {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-widescreen {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-widescreen {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-widescreen {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-widescreen {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-widescreen {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-widescreen {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-widescreen {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-widescreen {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-widescreen {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-widescreen {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-widescreen {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-widescreen {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-widescreen {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-widescreen {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-widescreen {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-widescreen {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-widescreen {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-widescreen {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-widescreen {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-widescreen {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-widescreen {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-widescreen {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-widescreen {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-widescreen {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-widescreen {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-widescreen {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-widescreen {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-widescreen {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-widescreen {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-widescreen {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-widescreen {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-widescreen {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-widescreen {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-widescreen {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-widescreen {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-widescreen {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-widescreen {
+        margin-left: 100%; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .column.is-narrow-fullhd {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-fullhd {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-fullhd {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-fullhd {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-fullhd {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-fullhd {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-fullhd {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-fullhd {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-fullhd {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-fullhd {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-fullhd {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-fullhd {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-fullhd {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-fullhd {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-fullhd {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-fullhd {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-fullhd {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-fullhd {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-fullhd {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-fullhd {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-fullhd {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-fullhd {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-fullhd {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-fullhd {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-fullhd {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-fullhd {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-fullhd {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-fullhd {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-fullhd {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-fullhd {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-fullhd {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-fullhd {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-fullhd {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-fullhd {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-fullhd {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-fullhd {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-fullhd {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-fullhd {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-fullhd {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-fullhd {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-fullhd {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-fullhd {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-fullhd {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-fullhd {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-fullhd {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-fullhd {
+        margin-left: 100%; } }
+  html.theme--documenter-dark .columns {
+    margin-left: -0.75rem;
+    margin-right: -0.75rem;
+    margin-top: -0.75rem; }
+    html.theme--documenter-dark .columns:last-child {
+      margin-bottom: -0.75rem; }
+    html.theme--documenter-dark .columns:not(:last-child) {
+      margin-bottom: calc(1.5rem - 0.75rem); }
+    html.theme--documenter-dark .columns.is-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .columns.is-gapless {
+      margin-left: 0;
+      margin-right: 0;
+      margin-top: 0; }
+      html.theme--documenter-dark .columns.is-gapless > .column {
+        margin: 0;
+        padding: 0 !important; }
+      html.theme--documenter-dark .columns.is-gapless:not(:last-child) {
+        margin-bottom: 1.5rem; }
+      html.theme--documenter-dark .columns.is-gapless:last-child {
+        margin-bottom: 0; }
+    html.theme--documenter-dark .columns.is-mobile {
+      display: flex; }
+    html.theme--documenter-dark .columns.is-multiline {
+      flex-wrap: wrap; }
+    html.theme--documenter-dark .columns.is-vcentered {
+      align-items: center; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns:not(.is-desktop) {
+        display: flex; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-desktop {
+        display: flex; } }
+  html.theme--documenter-dark .columns.is-variable {
+    --columnGap: 0.75rem;
+    margin-left: calc(-1 * var(--columnGap));
+    margin-right: calc(-1 * var(--columnGap)); }
+    html.theme--documenter-dark .columns.is-variable .column {
+      padding-left: var(--columnGap);
+      padding-right: var(--columnGap); }
+    html.theme--documenter-dark .columns.is-variable.is-0 {
+      --columnGap: 0rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-mobile {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-0-tablet {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-tablet-only {
+        --columnGap: 0rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-touch {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-desktop {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-desktop-only {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-widescreen {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-widescreen-only {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-fullhd {
+        --columnGap: 0rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-1 {
+      --columnGap: 0.25rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-mobile {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-1-tablet {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-tablet-only {
+        --columnGap: 0.25rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-touch {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-desktop {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-desktop-only {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-widescreen {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-widescreen-only {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-fullhd {
+        --columnGap: 0.25rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-2 {
+      --columnGap: 0.5rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-mobile {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-2-tablet {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-tablet-only {
+        --columnGap: 0.5rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-touch {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-desktop {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-desktop-only {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-widescreen {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-widescreen-only {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-fullhd {
+        --columnGap: 0.5rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-3 {
+      --columnGap: 0.75rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-mobile {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-3-tablet {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-tablet-only {
+        --columnGap: 0.75rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-touch {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-desktop {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-desktop-only {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-widescreen {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-widescreen-only {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-fullhd {
+        --columnGap: 0.75rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-4 {
+      --columnGap: 1rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-mobile {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-4-tablet {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-tablet-only {
+        --columnGap: 1rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-touch {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-desktop {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-desktop-only {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-widescreen {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-widescreen-only {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-fullhd {
+        --columnGap: 1rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-5 {
+      --columnGap: 1.25rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-mobile {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-5-tablet {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-tablet-only {
+        --columnGap: 1.25rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-touch {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-desktop {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-desktop-only {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-widescreen {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-widescreen-only {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-fullhd {
+        --columnGap: 1.25rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-6 {
+      --columnGap: 1.5rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-mobile {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-6-tablet {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-tablet-only {
+        --columnGap: 1.5rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-touch {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-desktop {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-desktop-only {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-widescreen {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-widescreen-only {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-fullhd {
+        --columnGap: 1.5rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-7 {
+      --columnGap: 1.75rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-mobile {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-7-tablet {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-tablet-only {
+        --columnGap: 1.75rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-touch {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-desktop {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-desktop-only {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-widescreen {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-widescreen-only {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-fullhd {
+        --columnGap: 1.75rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-8 {
+      --columnGap: 2rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-mobile {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-8-tablet {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-tablet-only {
+        --columnGap: 2rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-touch {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-desktop {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-desktop-only {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-widescreen {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-widescreen-only {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-fullhd {
+        --columnGap: 2rem; } }
+  html.theme--documenter-dark .tile {
+    align-items: stretch;
+    display: block;
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 1;
+    min-height: min-content; }
+    html.theme--documenter-dark .tile.is-ancestor {
+      margin-left: -0.75rem;
+      margin-right: -0.75rem;
+      margin-top: -0.75rem; }
+      html.theme--documenter-dark .tile.is-ancestor:last-child {
+        margin-bottom: -0.75rem; }
+      html.theme--documenter-dark .tile.is-ancestor:not(:last-child) {
+        margin-bottom: 0.75rem; }
+    html.theme--documenter-dark .tile.is-child {
+      margin: 0 !important; }
+    html.theme--documenter-dark .tile.is-parent {
+      padding: 0.75rem; }
+    html.theme--documenter-dark .tile.is-vertical {
+      flex-direction: column; }
+      html.theme--documenter-dark .tile.is-vertical > .tile.is-child:not(:last-child) {
+        margin-bottom: 1.5rem !important; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .tile:not(.is-child) {
+        display: flex; }
+      html.theme--documenter-dark .tile.is-1 {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .tile.is-2 {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .tile.is-3 {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .tile.is-4 {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .tile.is-5 {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .tile.is-6 {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .tile.is-7 {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .tile.is-8 {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .tile.is-9 {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .tile.is-10 {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .tile.is-11 {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .tile.is-12 {
+        flex: none;
+        width: 100%; } }
+  html.theme--documenter-dark .hero {
+    align-items: stretch;
+    display: flex;
+    flex-direction: column;
+    justify-content: space-between; }
+    html.theme--documenter-dark .hero .navbar {
+      background: none; }
+    html.theme--documenter-dark .hero .tabs ul {
+      border-bottom: none; }
+    html.theme--documenter-dark .hero.is-white {
+      background-color: white;
+      color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-white a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-white strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-white .title {
+        color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-white .subtitle {
+        color: rgba(10, 10, 10, 0.9); }
+        html.theme--documenter-dark .hero.is-white .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-white .subtitle strong {
+          color: #0a0a0a; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-white .navbar-menu {
+          background-color: white; } }
+      html.theme--documenter-dark .hero.is-white .navbar-item,
+      html.theme--documenter-dark .hero.is-white .navbar-link {
+        color: rgba(10, 10, 10, 0.7); }
+      html.theme--documenter-dark .hero.is-white a.navbar-item:hover, html.theme--documenter-dark .hero.is-white a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-white .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-white .navbar-link.is-active {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-white .tabs a {
+        color: #0a0a0a;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-white .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-white .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-white .tabs.is-boxed a, html.theme--documenter-dark .hero.is-white .tabs.is-toggle a {
+        color: #0a0a0a; }
+        html.theme--documenter-dark .hero.is-white .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-white .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-white .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-white .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-white .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-white .tabs.is-toggle li.is-active a:hover {
+        background-color: #0a0a0a;
+        border-color: #0a0a0a;
+        color: white; }
+      html.theme--documenter-dark .hero.is-white.is-bold {
+        background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-white.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); } }
+    html.theme--documenter-dark .hero.is-black {
+      background-color: #0a0a0a;
+      color: white; }
+      html.theme--documenter-dark .hero.is-black a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-black strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-black .title {
+        color: white; }
+      html.theme--documenter-dark .hero.is-black .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-black .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-black .subtitle strong {
+          color: white; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-black .navbar-menu {
+          background-color: #0a0a0a; } }
+      html.theme--documenter-dark .hero.is-black .navbar-item,
+      html.theme--documenter-dark .hero.is-black .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-black a.navbar-item:hover, html.theme--documenter-dark .hero.is-black a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-black .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-black .navbar-link.is-active {
+        background-color: black;
+        color: white; }
+      html.theme--documenter-dark .hero.is-black .tabs a {
+        color: white;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-black .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-black .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-black .tabs.is-boxed a, html.theme--documenter-dark .hero.is-black .tabs.is-toggle a {
+        color: white; }
+        html.theme--documenter-dark .hero.is-black .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-black .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-black .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-black .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-black .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-black .tabs.is-toggle li.is-active a:hover {
+        background-color: white;
+        border-color: white;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-black.is-bold {
+        background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-black.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } }
+    html.theme--documenter-dark .hero.is-light {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+      html.theme--documenter-dark .hero.is-light a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-light strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-light .title {
+        color: #282f2f; }
+      html.theme--documenter-dark .hero.is-light .subtitle {
+        color: rgba(40, 47, 47, 0.9); }
+        html.theme--documenter-dark .hero.is-light .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-light .subtitle strong {
+          color: #282f2f; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-light .navbar-menu {
+          background-color: #ecf0f1; } }
+      html.theme--documenter-dark .hero.is-light .navbar-item,
+      html.theme--documenter-dark .hero.is-light .navbar-link {
+        color: rgba(40, 47, 47, 0.7); }
+      html.theme--documenter-dark .hero.is-light a.navbar-item:hover, html.theme--documenter-dark .hero.is-light a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-light .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-light .navbar-link.is-active {
+        background-color: #dde4e6;
+        color: #282f2f; }
+      html.theme--documenter-dark .hero.is-light .tabs a {
+        color: #282f2f;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-light .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-light .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-light .tabs.is-boxed a, html.theme--documenter-dark .hero.is-light .tabs.is-toggle a {
+        color: #282f2f; }
+        html.theme--documenter-dark .hero.is-light .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-light .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-light .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-light .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-light .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-light .tabs.is-toggle li.is-active a:hover {
+        background-color: #282f2f;
+        border-color: #282f2f;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-light.is-bold {
+        background-image: linear-gradient(141deg, #cadfe0 0%, #ecf0f1 71%, #fafbfc 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-light.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #cadfe0 0%, #ecf0f1 71%, #fafbfc 100%); } }
+    html.theme--documenter-dark .hero.is-dark, html.theme--documenter-dark .content kbd.hero {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-dark a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), html.theme--documenter-dark .content kbd.hero a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-dark strong,
+      html.theme--documenter-dark .content kbd.hero strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-dark .title, html.theme--documenter-dark .content kbd.hero .title {
+        color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-dark .subtitle, html.theme--documenter-dark .content kbd.hero .subtitle {
+        color: rgba(236, 240, 241, 0.9); }
+        html.theme--documenter-dark .hero.is-dark .subtitle a:not(.button), html.theme--documenter-dark .content kbd.hero .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-dark .subtitle strong,
+        html.theme--documenter-dark .content kbd.hero .subtitle strong {
+          color: #ecf0f1; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-dark .navbar-menu, html.theme--documenter-dark .content kbd.hero .navbar-menu {
+          background-color: #282f2f; } }
+      html.theme--documenter-dark .hero.is-dark .navbar-item, html.theme--documenter-dark .content kbd.hero .navbar-item,
+      html.theme--documenter-dark .hero.is-dark .navbar-link,
+      html.theme--documenter-dark .content kbd.hero .navbar-link {
+        color: rgba(236, 240, 241, 0.7); }
+      html.theme--documenter-dark .hero.is-dark a.navbar-item:hover, html.theme--documenter-dark .content kbd.hero a.navbar-item:hover, html.theme--documenter-dark .hero.is-dark a.navbar-item.is-active, html.theme--documenter-dark .content kbd.hero a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-dark .navbar-link:hover,
+      html.theme--documenter-dark .content kbd.hero .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-dark .navbar-link.is-active,
+      html.theme--documenter-dark .content kbd.hero .navbar-link.is-active {
+        background-color: #1d2122;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-dark .tabs a, html.theme--documenter-dark .content kbd.hero .tabs a {
+        color: #ecf0f1;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-dark .tabs a:hover, html.theme--documenter-dark .content kbd.hero .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-dark .tabs li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-dark .tabs.is-boxed a, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed a, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle a, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle a {
+        color: #ecf0f1; }
+        html.theme--documenter-dark .hero.is-dark .tabs.is-boxed a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-dark .tabs.is-boxed li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-dark .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle li.is-active a:hover {
+        background-color: #ecf0f1;
+        border-color: #ecf0f1;
+        color: #282f2f; }
+      html.theme--documenter-dark .hero.is-dark.is-bold, html.theme--documenter-dark .content kbd.hero.is-bold {
+        background-image: linear-gradient(141deg, #0f1615 0%, #282f2f 71%, #313c40 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-dark.is-bold .navbar-menu, html.theme--documenter-dark .content kbd.hero.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #0f1615 0%, #282f2f 71%, #313c40 100%); } }
+    html.theme--documenter-dark .hero.is-primary, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink {
+      background-color: #375a7f;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-primary a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-primary strong,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-primary .title, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-primary .subtitle, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-primary .subtitle a:not(.button), html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-primary .subtitle strong,
+        html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-primary .navbar-menu, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-menu {
+          background-color: #375a7f; } }
+      html.theme--documenter-dark .hero.is-primary .navbar-item, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-item,
+      html.theme--documenter-dark .hero.is-primary .navbar-link,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-primary a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a.navbar-item:hover, html.theme--documenter-dark .hero.is-primary a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-primary .navbar-link:hover,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-primary .navbar-link.is-active,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link.is-active {
+        background-color: #2f4d6d;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-primary .tabs a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-primary .tabs a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-primary .tabs li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-primary .tabs.is-boxed a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-primary .tabs.is-boxed a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-primary .tabs.is-boxed li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-primary .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #375a7f; }
+      html.theme--documenter-dark .hero.is-primary.is-bold, html.theme--documenter-dark .docstring > section > a.hero.is-bold.docs-sourcelink {
+        background-image: linear-gradient(141deg, #214b62 0%, #375a7f 71%, #3a5796 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-primary.is-bold .navbar-menu, html.theme--documenter-dark .docstring > section > a.hero.is-bold.docs-sourcelink .navbar-menu {
+            background-image: linear-gradient(141deg, #214b62 0%, #375a7f 71%, #3a5796 100%); } }
+    html.theme--documenter-dark .hero.is-link {
+      background-color: #1abc9c;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-link a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-link strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-link .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-link .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-link .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-link .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-link .navbar-menu {
+          background-color: #1abc9c; } }
+      html.theme--documenter-dark .hero.is-link .navbar-item,
+      html.theme--documenter-dark .hero.is-link .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-link a.navbar-item:hover, html.theme--documenter-dark .hero.is-link a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-link .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-link .navbar-link.is-active {
+        background-color: #17a689;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-link .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-link .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-link .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-link .tabs.is-boxed a, html.theme--documenter-dark .hero.is-link .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-link .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-link .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-link .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-link .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-link .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-link .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #1abc9c; }
+      html.theme--documenter-dark .hero.is-link.is-bold {
+        background-image: linear-gradient(141deg, #0c9764 0%, #1abc9c 71%, #17d8d2 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-link.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #0c9764 0%, #1abc9c 71%, #17d8d2 100%); } }
+    html.theme--documenter-dark .hero.is-info {
+      background-color: #024c7d;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-info a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-info strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-info .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-info .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-info .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-info .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-info .navbar-menu {
+          background-color: #024c7d; } }
+      html.theme--documenter-dark .hero.is-info .navbar-item,
+      html.theme--documenter-dark .hero.is-info .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-info a.navbar-item:hover, html.theme--documenter-dark .hero.is-info a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-info .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-info .navbar-link.is-active {
+        background-color: #023d64;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-info .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-info .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-info .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-info .tabs.is-boxed a, html.theme--documenter-dark .hero.is-info .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-info .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-info .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-info .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-info .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-info .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-info .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #024c7d; }
+      html.theme--documenter-dark .hero.is-info.is-bold {
+        background-image: linear-gradient(141deg, #003a4c 0%, #024c7d 71%, #004299 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-info.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #003a4c 0%, #024c7d 71%, #004299 100%); } }
+    html.theme--documenter-dark .hero.is-success {
+      background-color: #008438;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-success a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-success strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-success .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-success .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-success .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-success .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-success .navbar-menu {
+          background-color: #008438; } }
+      html.theme--documenter-dark .hero.is-success .navbar-item,
+      html.theme--documenter-dark .hero.is-success .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-success a.navbar-item:hover, html.theme--documenter-dark .hero.is-success a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-success .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-success .navbar-link.is-active {
+        background-color: #006b2d;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-success .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-success .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-success .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-success .tabs.is-boxed a, html.theme--documenter-dark .hero.is-success .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-success .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-success .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-success .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-success .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-success .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-success .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #008438; }
+      html.theme--documenter-dark .hero.is-success.is-bold {
+        background-image: linear-gradient(141deg, #005115 0%, #008438 71%, #009e5d 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-success.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #005115 0%, #008438 71%, #009e5d 100%); } }
+    html.theme--documenter-dark .hero.is-warning {
+      background-color: #ad8100;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-warning a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-warning strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-warning .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-warning .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-warning .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-warning .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-warning .navbar-menu {
+          background-color: #ad8100; } }
+      html.theme--documenter-dark .hero.is-warning .navbar-item,
+      html.theme--documenter-dark .hero.is-warning .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-warning a.navbar-item:hover, html.theme--documenter-dark .hero.is-warning a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-warning .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-warning .navbar-link.is-active {
+        background-color: #946e00;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-warning .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-warning .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-warning .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-warning .tabs.is-boxed a, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-warning .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-warning .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-warning .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #ad8100; }
+      html.theme--documenter-dark .hero.is-warning.is-bold {
+        background-image: linear-gradient(141deg, #7a4700 0%, #ad8100 71%, #c7b500 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-warning.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #7a4700 0%, #ad8100 71%, #c7b500 100%); } }
+    html.theme--documenter-dark .hero.is-danger {
+      background-color: #9e1b0d;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-danger a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-danger strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-danger .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-danger .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-danger .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-danger .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-danger .navbar-menu {
+          background-color: #9e1b0d; } }
+      html.theme--documenter-dark .hero.is-danger .navbar-item,
+      html.theme--documenter-dark .hero.is-danger .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-danger a.navbar-item:hover, html.theme--documenter-dark .hero.is-danger a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-danger .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-danger .navbar-link.is-active {
+        background-color: #86170b;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-danger .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-danger .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-danger .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-danger .tabs.is-boxed a, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-danger .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-danger .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-danger .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #9e1b0d; }
+      html.theme--documenter-dark .hero.is-danger.is-bold {
+        background-image: linear-gradient(141deg, #75030b 0%, #9e1b0d 71%, #ba380a 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-danger.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #75030b 0%, #9e1b0d 71%, #ba380a 100%); } }
+    html.theme--documenter-dark .hero.is-small .hero-body, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.hero .hero-body {
+      padding-bottom: 1.5rem;
+      padding-top: 1.5rem; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .hero.is-medium .hero-body {
+        padding-bottom: 9rem;
+        padding-top: 9rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .hero.is-large .hero-body {
+        padding-bottom: 18rem;
+        padding-top: 18rem; } }
+    html.theme--documenter-dark .hero.is-halfheight .hero-body, html.theme--documenter-dark .hero.is-fullheight .hero-body, html.theme--documenter-dark .hero.is-fullheight-with-navbar .hero-body {
+      align-items: center;
+      display: flex; }
+      html.theme--documenter-dark .hero.is-halfheight .hero-body > .container, html.theme--documenter-dark .hero.is-fullheight .hero-body > .container, html.theme--documenter-dark .hero.is-fullheight-with-navbar .hero-body > .container {
+        flex-grow: 1;
+        flex-shrink: 1; }
+    html.theme--documenter-dark .hero.is-halfheight {
+      min-height: 50vh; }
+    html.theme--documenter-dark .hero.is-fullheight {
+      min-height: 100vh; }
+  html.theme--documenter-dark .hero-video {
+    overflow: hidden; }
+    html.theme--documenter-dark .hero-video video {
+      left: 50%;
+      min-height: 100%;
+      min-width: 100%;
+      position: absolute;
+      top: 50%;
+      transform: translate3d(-50%, -50%, 0); }
+    html.theme--documenter-dark .hero-video.is-transparent {
+      opacity: 0.3; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .hero-video {
+        display: none; } }
+  html.theme--documenter-dark .hero-buttons {
+    margin-top: 1.5rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .hero-buttons .button {
+        display: flex; }
+        html.theme--documenter-dark .hero-buttons .button:not(:last-child) {
+          margin-bottom: 0.75rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .hero-buttons {
+        display: flex;
+        justify-content: center; }
+        html.theme--documenter-dark .hero-buttons .button:not(:last-child) {
+          margin-right: 1.5rem; } }
+  html.theme--documenter-dark .hero-head,
+  html.theme--documenter-dark .hero-foot {
+    flex-grow: 0;
+    flex-shrink: 0; }
+  html.theme--documenter-dark .hero-body {
+    flex-grow: 1;
+    flex-shrink: 0;
+    padding: 3rem 1.5rem; }
+  html.theme--documenter-dark .section {
+    padding: 3rem 1.5rem; }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .section.is-medium {
+        padding: 9rem 1.5rem; }
+      html.theme--documenter-dark .section.is-large {
+        padding: 18rem 1.5rem; } }
+  html.theme--documenter-dark .footer {
+    background-color: #282f2f;
+    padding: 3rem 1.5rem 6rem; }
+  html.theme--documenter-dark hr {
+    height: 1px; }
+  html.theme--documenter-dark h6 {
+    text-transform: uppercase;
+    letter-spacing: 0.5px; }
+  html.theme--documenter-dark .hero {
+    background-color: #343c3d; }
+  html.theme--documenter-dark a {
+    transition: all 200ms ease; }
+  html.theme--documenter-dark .button {
+    transition: all 200ms ease;
+    border-width: 1px;
+    color: white; }
+    html.theme--documenter-dark .button.is-active, html.theme--documenter-dark .button.is-focused, html.theme--documenter-dark .button:active, html.theme--documenter-dark .button:focus {
+      box-shadow: 0 0 0 2px rgba(140, 155, 157, 0.5); }
+    html.theme--documenter-dark .button.is-white.is-hovered, html.theme--documenter-dark .button.is-white:hover {
+      background-color: white; }
+    html.theme--documenter-dark .button.is-white.is-active, html.theme--documenter-dark .button.is-white.is-focused, html.theme--documenter-dark .button.is-white:active, html.theme--documenter-dark .button.is-white:focus {
+      border-color: white;
+      box-shadow: 0 0 0 2px rgba(255, 255, 255, 0.5); }
+    html.theme--documenter-dark .button.is-black.is-hovered, html.theme--documenter-dark .button.is-black:hover {
+      background-color: #1d1d1d; }
+    html.theme--documenter-dark .button.is-black.is-active, html.theme--documenter-dark .button.is-black.is-focused, html.theme--documenter-dark .button.is-black:active, html.theme--documenter-dark .button.is-black:focus {
+      border-color: #0a0a0a;
+      box-shadow: 0 0 0 2px rgba(10, 10, 10, 0.5); }
+    html.theme--documenter-dark .button.is-light.is-hovered, html.theme--documenter-dark .button.is-light:hover {
+      background-color: white; }
+    html.theme--documenter-dark .button.is-light.is-active, html.theme--documenter-dark .button.is-light.is-focused, html.theme--documenter-dark .button.is-light:active, html.theme--documenter-dark .button.is-light:focus {
+      border-color: #ecf0f1;
+      box-shadow: 0 0 0 2px rgba(236, 240, 241, 0.5); }
+    html.theme--documenter-dark .button.is-dark.is-hovered, html.theme--documenter-dark .content kbd.button.is-hovered, html.theme--documenter-dark .button.is-dark:hover, html.theme--documenter-dark .content kbd.button:hover {
+      background-color: #3a4344; }
+    html.theme--documenter-dark .button.is-dark.is-active, html.theme--documenter-dark .content kbd.button.is-active, html.theme--documenter-dark .button.is-dark.is-focused, html.theme--documenter-dark .content kbd.button.is-focused, html.theme--documenter-dark .button.is-dark:active, html.theme--documenter-dark .content kbd.button:active, html.theme--documenter-dark .button.is-dark:focus, html.theme--documenter-dark .content kbd.button:focus {
+      border-color: #282f2f;
+      box-shadow: 0 0 0 2px rgba(40, 47, 47, 0.5); }
+    html.theme--documenter-dark .button.is-primary.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary:hover, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:hover {
+      background-color: #436d9a; }
+    html.theme--documenter-dark .button.is-primary.is-active, html.theme--documenter-dark .docstring > section > a.button.is-active.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink, html.theme--documenter-dark .button.is-primary:active, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:active, html.theme--documenter-dark .button.is-primary:focus, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus {
+      border-color: #375a7f;
+      box-shadow: 0 0 0 2px rgba(55, 90, 127, 0.5); }
+    html.theme--documenter-dark .button.is-link.is-hovered, html.theme--documenter-dark .button.is-link:hover {
+      background-color: #1fdeb8; }
+    html.theme--documenter-dark .button.is-link.is-active, html.theme--documenter-dark .button.is-link.is-focused, html.theme--documenter-dark .button.is-link:active, html.theme--documenter-dark .button.is-link:focus {
+      border-color: #1abc9c;
+      box-shadow: 0 0 0 2px rgba(26, 188, 156, 0.5); }
+    html.theme--documenter-dark .button.is-info.is-hovered, html.theme--documenter-dark .button.is-info:hover {
+      background-color: #0363a3; }
+    html.theme--documenter-dark .button.is-info.is-active, html.theme--documenter-dark .button.is-info.is-focused, html.theme--documenter-dark .button.is-info:active, html.theme--documenter-dark .button.is-info:focus {
+      border-color: #024c7d;
+      box-shadow: 0 0 0 2px rgba(2, 76, 125, 0.5); }
+    html.theme--documenter-dark .button.is-success.is-hovered, html.theme--documenter-dark .button.is-success:hover {
+      background-color: #00aa48; }
+    html.theme--documenter-dark .button.is-success.is-active, html.theme--documenter-dark .button.is-success.is-focused, html.theme--documenter-dark .button.is-success:active, html.theme--documenter-dark .button.is-success:focus {
+      border-color: #008438;
+      box-shadow: 0 0 0 2px rgba(0, 132, 56, 0.5); }
+    html.theme--documenter-dark .button.is-warning.is-hovered, html.theme--documenter-dark .button.is-warning:hover {
+      background-color: #d39e00; }
+    html.theme--documenter-dark .button.is-warning.is-active, html.theme--documenter-dark .button.is-warning.is-focused, html.theme--documenter-dark .button.is-warning:active, html.theme--documenter-dark .button.is-warning:focus {
+      border-color: #ad8100;
+      box-shadow: 0 0 0 2px rgba(173, 129, 0, 0.5); }
+    html.theme--documenter-dark .button.is-danger.is-hovered, html.theme--documenter-dark .button.is-danger:hover {
+      background-color: #c12110; }
+    html.theme--documenter-dark .button.is-danger.is-active, html.theme--documenter-dark .button.is-danger.is-focused, html.theme--documenter-dark .button.is-danger:active, html.theme--documenter-dark .button.is-danger:focus {
+      border-color: #9e1b0d;
+      box-shadow: 0 0 0 2px rgba(158, 27, 13, 0.5); }
+  html.theme--documenter-dark .label {
+    color: #dbdee0; }
+  html.theme--documenter-dark .button,
+  html.theme--documenter-dark .control.has-icons-left .icon,
+  html.theme--documenter-dark .control.has-icons-right .icon,
+  html.theme--documenter-dark .input,
+  html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input,
+  html.theme--documenter-dark .pagination-ellipsis,
+  html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .select,
+  html.theme--documenter-dark .select select,
+  html.theme--documenter-dark .textarea {
+    height: 2.5em; }
+  html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input,
+  html.theme--documenter-dark .textarea {
+    transition: all 200ms ease;
+    box-shadow: none;
+    border-width: 1px;
+    padding-left: 1em;
+    padding-right: 1em; }
+  html.theme--documenter-dark .select:after,
+  html.theme--documenter-dark .select select {
+    border-width: 1px; }
+  html.theme--documenter-dark .control.has-addons .button,
+  html.theme--documenter-dark .control.has-addons .input,
+  html.theme--documenter-dark .control.has-addons #documenter .docs-sidebar form.docs-search > input,
+  html.theme--documenter-dark #documenter .docs-sidebar .control.has-addons form.docs-search > input,
+  html.theme--documenter-dark .control.has-addons .select {
+    margin-right: -1px; }
+  html.theme--documenter-dark .notification {
+    background-color: #343c3d; }
+  html.theme--documenter-dark .card {
+    box-shadow: none;
+    border: 1px solid #343c3d;
+    background-color: #282f2f;
+    border-radius: 0.4em; }
+    html.theme--documenter-dark .card .card-image img {
+      border-radius: 0.4em 0.4em 0 0; }
+    html.theme--documenter-dark .card .card-header {
+      box-shadow: none;
+      background-color: rgba(18, 18, 18, 0.2);
+      border-radius: 0.4em 0.4em 0 0; }
+    html.theme--documenter-dark .card .card-footer {
+      background-color: rgba(18, 18, 18, 0.2); }
+    html.theme--documenter-dark .card .card-footer,
+    html.theme--documenter-dark .card .card-footer-item {
+      border-width: 1px;
+      border-color: #343c3d; }
+  html.theme--documenter-dark .notification.is-white a:not(.button) {
+    color: #0a0a0a;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-black a:not(.button) {
+    color: white;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-light a:not(.button) {
+    color: #282f2f;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-dark a:not(.button), html.theme--documenter-dark .content kbd.notification a:not(.button) {
+    color: #ecf0f1;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-primary a:not(.button), html.theme--documenter-dark .docstring > section > a.notification.docs-sourcelink a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-link a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-info a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-success a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-warning a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-danger a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .tag, html.theme--documenter-dark .content kbd, html.theme--documenter-dark .docstring > section > a.docs-sourcelink {
+    border-radius: 0.4em; }
+  html.theme--documenter-dark .menu-list a {
+    transition: all 300ms ease; }
+  html.theme--documenter-dark .modal-card-body {
+    background-color: #282f2f; }
+  html.theme--documenter-dark .modal-card-foot,
+  html.theme--documenter-dark .modal-card-head {
+    border-color: #343c3d; }
+  html.theme--documenter-dark .message-header {
+    font-weight: 700;
+    background-color: #343c3d;
+    color: white; }
+  html.theme--documenter-dark .message-body {
+    border-width: 1px;
+    border-color: #343c3d; }
+  html.theme--documenter-dark .navbar {
+    border-radius: 0.4em; }
+    html.theme--documenter-dark .navbar.is-transparent {
+      background: none; }
+    html.theme--documenter-dark .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active {
+      background-color: #1abc9c; }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .navbar .navbar-menu {
+        background-color: #375a7f;
+        border-radius: 0 0 0.4em 0.4em; } }
+  html.theme--documenter-dark .hero .navbar,
+  html.theme--documenter-dark body > .navbar {
+    border-radius: 0; }
+  html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-previous {
+    border-width: 1px; }
+  html.theme--documenter-dark .panel-block,
+  html.theme--documenter-dark .panel-heading,
+  html.theme--documenter-dark .panel-tabs {
+    border-width: 1px; }
+    html.theme--documenter-dark .panel-block:first-child,
+    html.theme--documenter-dark .panel-heading:first-child,
+    html.theme--documenter-dark .panel-tabs:first-child {
+      border-top-width: 1px; }
+  html.theme--documenter-dark .panel-heading {
+    font-weight: 700; }
+  html.theme--documenter-dark .panel-tabs a {
+    border-width: 1px;
+    margin-bottom: -1px; }
+    html.theme--documenter-dark .panel-tabs a.is-active {
+      border-bottom-color: #17a689; }
+  html.theme--documenter-dark .panel-block:hover {
+    color: #1dd2af; }
+    html.theme--documenter-dark .panel-block:hover .panel-icon {
+      color: #1dd2af; }
+  html.theme--documenter-dark .panel-block.is-active .panel-icon {
+    color: #17a689; }
+  html.theme--documenter-dark .tabs a {
+    border-bottom-width: 1px;
+    margin-bottom: -1px; }
+  html.theme--documenter-dark .tabs ul {
+    border-bottom-width: 1px; }
+  html.theme--documenter-dark .tabs.is-boxed a {
+    border-width: 1px; }
+  html.theme--documenter-dark .tabs.is-boxed li.is-active a {
+    background-color: #1f2424; }
+  html.theme--documenter-dark .tabs.is-toggle li a {
+    border-width: 1px;
+    margin-bottom: 0; }
+  html.theme--documenter-dark .tabs.is-toggle li + li {
+    margin-left: -1px; }
+  html.theme--documenter-dark .hero.is-white .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-black .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-light .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-dark .navbar .navbar-dropdown .navbar-item:hover, html.theme--documenter-dark .content kbd.hero .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-primary .navbar .navbar-dropdown .navbar-item:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-link .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-info .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-success .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-warning .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-danger .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark h1 .docs-heading-anchor, html.theme--documenter-dark h1 .docs-heading-anchor:hover, html.theme--documenter-dark h1 .docs-heading-anchor:visited, html.theme--documenter-dark h2 .docs-heading-anchor, html.theme--documenter-dark h2 .docs-heading-anchor:hover, html.theme--documenter-dark h2 .docs-heading-anchor:visited, html.theme--documenter-dark h3 .docs-heading-anchor, html.theme--documenter-dark h3 .docs-heading-anchor:hover, html.theme--documenter-dark h3 .docs-heading-anchor:visited, html.theme--documenter-dark h4 .docs-heading-anchor, html.theme--documenter-dark h4 .docs-heading-anchor:hover, html.theme--documenter-dark h4 .docs-heading-anchor:visited, html.theme--documenter-dark h5 .docs-heading-anchor, html.theme--documenter-dark h5 .docs-heading-anchor:hover, html.theme--documenter-dark h5 .docs-heading-anchor:visited, html.theme--documenter-dark h6 .docs-heading-anchor, html.theme--documenter-dark h6 .docs-heading-anchor:hover, html.theme--documenter-dark h6 .docs-heading-anchor:visited {
+    color: #f2f2f2; }
+  html.theme--documenter-dark h1 .docs-heading-anchor-permalink, html.theme--documenter-dark h2 .docs-heading-anchor-permalink, html.theme--documenter-dark h3 .docs-heading-anchor-permalink, html.theme--documenter-dark h4 .docs-heading-anchor-permalink, html.theme--documenter-dark h5 .docs-heading-anchor-permalink, html.theme--documenter-dark h6 .docs-heading-anchor-permalink {
+    visibility: hidden;
+    vertical-align: middle;
+    margin-left: 0.5em;
+    font-size: 0.7rem; }
+    html.theme--documenter-dark h1 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h2 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h3 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h4 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h5 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h6 .docs-heading-anchor-permalink::before {
+      font-family: "Font Awesome 5 Free";
+      font-weight: 900;
+      content: "\f0c1"; }
+  html.theme--documenter-dark h1:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h2:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h3:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h4:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h5:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h6:hover .docs-heading-anchor-permalink {
+    visibility: visible; }
+  html.theme--documenter-dark .docs-light-only {
+    display: none !important; }
+  html.theme--documenter-dark pre {
+    position: relative;
+    overflow: hidden; }
+    html.theme--documenter-dark pre code, html.theme--documenter-dark pre code.hljs {
+      padding: 0 0.75rem !important;
+      overflow: auto;
+      display: block; }
+    html.theme--documenter-dark pre code:first-of-type, html.theme--documenter-dark pre code.hljs:first-of-type {
+      padding-top: 0.5rem !important; }
+    html.theme--documenter-dark pre code:last-of-type, html.theme--documenter-dark pre code.hljs:last-of-type {
+      padding-bottom: 0.5rem !important; }
+    html.theme--documenter-dark pre .copy-button {
+      opacity: 0.2;
+      transition: opacity 0.2s;
+      position: absolute;
+      right: 0em;
+      top: 0em;
+      padding: 0.5em;
+      width: 2.5em;
+      height: 2.5em;
+      background: transparent;
+      border: none;
+      font-family: "Font Awesome 5 Free";
+      color: #fff;
+      cursor: pointer;
+      text-align: center; }
+      html.theme--documenter-dark pre .copy-button:focus, html.theme--documenter-dark pre .copy-button:hover {
+        opacity: 1;
+        background: rgba(255, 255, 255, 0.1);
+        color: #1abc9c; }
+      html.theme--documenter-dark pre .copy-button.success {
+        color: #259a12;
+        opacity: 1; }
+      html.theme--documenter-dark pre .copy-button.error {
+        color: #cb3c33;
+        opacity: 1; }
+    html.theme--documenter-dark pre:hover .copy-button {
+      opacity: 1; }
+  html.theme--documenter-dark .admonition {
+    background-color: #282f2f;
+    border-style: solid;
+    border-width: 1px;
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    font-size: 15px; }
+    html.theme--documenter-dark .admonition strong {
+      color: currentColor; }
+    html.theme--documenter-dark .admonition.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.admonition {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .admonition.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .admonition.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .admonition.is-default {
+      background-color: #282f2f;
+      border-color: #5e6d6f; }
+      html.theme--documenter-dark .admonition.is-default > .admonition-header {
+        background-color: #5e6d6f; }
+    html.theme--documenter-dark .admonition.is-info {
+      background-color: #282f2f;
+      border-color: #024c7d; }
+      html.theme--documenter-dark .admonition.is-info > .admonition-header {
+        background-color: #024c7d; }
+    html.theme--documenter-dark .admonition.is-success {
+      background-color: #282f2f;
+      border-color: #008438; }
+      html.theme--documenter-dark .admonition.is-success > .admonition-header {
+        background-color: #008438; }
+    html.theme--documenter-dark .admonition.is-warning {
+      background-color: #282f2f;
+      border-color: #ad8100; }
+      html.theme--documenter-dark .admonition.is-warning > .admonition-header {
+        background-color: #ad8100; }
+    html.theme--documenter-dark .admonition.is-danger {
+      background-color: #282f2f;
+      border-color: #9e1b0d; }
+      html.theme--documenter-dark .admonition.is-danger > .admonition-header {
+        background-color: #9e1b0d; }
+    html.theme--documenter-dark .admonition.is-compat {
+      background-color: #282f2f;
+      border-color: #137886; }
+      html.theme--documenter-dark .admonition.is-compat > .admonition-header {
+        background-color: #137886; }
+  html.theme--documenter-dark .admonition-header {
+    background-color: #5e6d6f;
+    align-items: center;
+    font-weight: 700;
+    justify-content: space-between;
+    line-height: 1.25;
+    padding: 0.5rem 0.75rem;
+    position: relative; }
+    html.theme--documenter-dark .admonition-header:before {
+      font-family: "Font Awesome 5 Free";
+      font-weight: 900;
+      margin-right: 0.75rem;
+      content: "\f06a"; }
+  html.theme--documenter-dark .admonition-body {
+    color: #fff;
+    padding: 0.5rem 0.75rem; }
+    html.theme--documenter-dark .admonition-body pre {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .admonition-body code {
+      background-color: rgba(255, 255, 255, 0.05); }
+  html.theme--documenter-dark .docstring {
+    margin-bottom: 1em;
+    background-color: transparent;
+    border: 1px solid #5e6d6f;
+    box-shadow: none;
+    max-width: 100%; }
+    html.theme--documenter-dark .docstring > header {
+      display: flex;
+      flex-grow: 1;
+      align-items: stretch;
+      padding: 0.5rem 0.75rem;
+      background-color: #282f2f;
+      box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+      box-shadow: none;
+      border-bottom: 1px solid #5e6d6f; }
+      html.theme--documenter-dark .docstring > header code {
+        background-color: transparent; }
+      html.theme--documenter-dark .docstring > header .docstring-binding {
+        margin-right: 0.3em; }
+      html.theme--documenter-dark .docstring > header .docstring-category {
+        margin-left: 0.3em; }
+    html.theme--documenter-dark .docstring > section {
+      position: relative;
+      padding: 0.75rem 0.75rem;
+      border-bottom: 1px solid #5e6d6f; }
+      html.theme--documenter-dark .docstring > section:last-child {
+        border-bottom: none; }
+      html.theme--documenter-dark .docstring > section > a.docs-sourcelink {
+        transition: opacity 0.3s;
+        opacity: 0;
+        position: absolute;
+        right: 0.375rem;
+        bottom: 0.375rem; }
+        html.theme--documenter-dark .docstring > section > a.docs-sourcelink:focus {
+          opacity: 1 !important; }
+    html.theme--documenter-dark .docstring:hover > section > a.docs-sourcelink {
+      opacity: 0.2; }
+    html.theme--documenter-dark .docstring:focus-within > section > a.docs-sourcelink {
+      opacity: 0.2; }
+    html.theme--documenter-dark .docstring > section:hover a.docs-sourcelink {
+      opacity: 1; }
+  html.theme--documenter-dark .documenter-example-output {
+    background-color: #1f2424; }
+  html.theme--documenter-dark .outdated-warning-overlay {
+    position: fixed;
+    top: 0;
+    left: 0;
+    right: 0;
+    box-shadow: 0 0 10px rgba(0, 0, 0, 0.3);
+    z-index: 999;
+    background-color: #282f2f;
+    border-bottom: 3px solid #9e1b0d;
+    padding: 10px 35px;
+    text-align: center;
+    font-size: 15px; }
+    html.theme--documenter-dark .outdated-warning-overlay .outdated-warning-closer {
+      position: absolute;
+      top: calc(50% - 10px);
+      right: 18px;
+      cursor: pointer;
+      width: 12px; }
+    html.theme--documenter-dark .outdated-warning-overlay a {
+      color: #1abc9c; }
+      html.theme--documenter-dark .outdated-warning-overlay a:hover {
+        color: #1dd2af; }
+  html.theme--documenter-dark .content pre {
+    border: 1px solid #5e6d6f; }
+  html.theme--documenter-dark .content code {
+    font-weight: inherit; }
+  html.theme--documenter-dark .content a code {
+    color: #1abc9c; }
+  html.theme--documenter-dark .content h1 code, html.theme--documenter-dark .content h2 code, html.theme--documenter-dark .content h3 code, html.theme--documenter-dark .content h4 code, html.theme--documenter-dark .content h5 code, html.theme--documenter-dark .content h6 code {
+    color: #f2f2f2; }
+  html.theme--documenter-dark .content table {
+    display: block;
+    width: initial;
+    max-width: 100%;
+    overflow-x: auto; }
+  html.theme--documenter-dark .content blockquote > ul:first-child, html.theme--documenter-dark .content blockquote > ol:first-child, html.theme--documenter-dark .content .admonition-body > ul:first-child, html.theme--documenter-dark .content .admonition-body > ol:first-child {
+    margin-top: 0; }
+  html.theme--documenter-dark pre, html.theme--documenter-dark code {
+    font-variant-ligatures: no-contextual; }
+  html.theme--documenter-dark .breadcrumb a.is-disabled {
+    cursor: default;
+    pointer-events: none; }
+    html.theme--documenter-dark .breadcrumb a.is-disabled, html.theme--documenter-dark .breadcrumb a.is-disabled:hover {
+      color: #f2f2f2; }
+  html.theme--documenter-dark .hljs {
+    background: initial !important; }
+  html.theme--documenter-dark .katex .katex-mathml {
+    top: 0;
+    right: 0; }
+  html.theme--documenter-dark .katex-display, html.theme--documenter-dark mjx-container, html.theme--documenter-dark .MathJax_Display {
+    margin: 0.5em 0 !important; }
+  html.theme--documenter-dark html {
+    -moz-osx-font-smoothing: auto;
+    -webkit-font-smoothing: auto; }
+  html.theme--documenter-dark li.no-marker {
+    list-style: none; }
+  html.theme--documenter-dark #documenter .docs-main > article {
+    overflow-wrap: break-word; }
+    html.theme--documenter-dark #documenter .docs-main > article .math-container {
+      overflow-x: auto;
+      overflow-y: hidden; }
+  @media screen and (min-width: 1056px) {
+    html.theme--documenter-dark #documenter .docs-main {
+      max-width: 52rem;
+      margin-left: 20rem;
+      padding-right: 1rem; } }
+  @media screen and (max-width: 1055px) {
+    html.theme--documenter-dark #documenter .docs-main {
+      width: 100%; }
+      html.theme--documenter-dark #documenter .docs-main > article {
+        max-width: 52rem;
+        margin-left: auto;
+        margin-right: auto;
+        margin-bottom: 1rem;
+        padding: 0 1rem; }
+      html.theme--documenter-dark #documenter .docs-main > header, html.theme--documenter-dark #documenter .docs-main > nav {
+        max-width: 100%;
+        width: 100%;
+        margin: 0; } }
+  html.theme--documenter-dark #documenter .docs-main header.docs-navbar {
+    background-color: #1f2424;
+    border-bottom: 1px solid #5e6d6f;
+    z-index: 2;
+    min-height: 4rem;
+    margin-bottom: 1rem;
+    display: flex; }
+    html.theme--documenter-dark #documenter .docs-main header.docs-navbar .breadcrumb {
+      flex-grow: 1; }
+    html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right {
+      display: flex;
+      white-space: nowrap; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-icon, html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-label, html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+        display: inline-block; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-label {
+        padding: 0;
+        margin-left: 0.3em; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-settings-button {
+        margin: auto 0 auto 1rem; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+        font-size: 1.5rem;
+        margin: auto 0 auto 1rem; }
+    html.theme--documenter-dark #documenter .docs-main header.docs-navbar > * {
+      margin: auto 0; }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar {
+        position: sticky;
+        top: 0;
+        padding: 0 1rem;
+        /* For Headroom.js */
+        transition-property: top, box-shadow;
+        -webkit-transition-property: top, box-shadow;
+        /* Safari */
+        transition-duration: 0.3s;
+        -webkit-transition-duration: 0.3s;
+        /* Safari */ }
+        html.theme--documenter-dark #documenter .docs-main header.docs-navbar.headroom--not-top {
+          box-shadow: 0.2rem 0rem 0.4rem #171717;
+          transition-duration: 0.7s;
+          -webkit-transition-duration: 0.7s;
+          /* Safari */ }
+        html.theme--documenter-dark #documenter .docs-main header.docs-navbar.headroom--unpinned.headroom--not-top.headroom--not-bottom {
+          top: -4.5rem;
+          transition-duration: 0.7s;
+          -webkit-transition-duration: 0.7s;
+          /* Safari */ } }
+  html.theme--documenter-dark #documenter .docs-main section.footnotes {
+    border-top: 1px solid #5e6d6f; }
+    html.theme--documenter-dark #documenter .docs-main section.footnotes li .tag:first-child, html.theme--documenter-dark #documenter .docs-main section.footnotes li .docstring > section > a.docs-sourcelink:first-child, html.theme--documenter-dark #documenter .docs-main section.footnotes li .content kbd:first-child, html.theme--documenter-dark .content #documenter .docs-main section.footnotes li kbd:first-child {
+      margin-right: 1em;
+      margin-bottom: 0.4em; }
+  html.theme--documenter-dark #documenter .docs-main .docs-footer {
+    display: flex;
+    flex-wrap: wrap;
+    margin-left: 0;
+    margin-right: 0;
+    border-top: 1px solid #5e6d6f;
+    padding-top: 1rem;
+    padding-bottom: 1rem; }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark #documenter .docs-main .docs-footer {
+        padding-left: 1rem;
+        padding-right: 1rem; } }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-nextpage, html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-prevpage {
+      flex-grow: 1; }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-nextpage {
+      text-align: right; }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .flexbox-break {
+      flex-basis: 100%;
+      height: 0; }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .footer-message {
+      font-size: 0.8em;
+      margin: 0.5em auto 0 auto;
+      text-align: center; }
+  html.theme--documenter-dark #documenter .docs-sidebar {
+    display: flex;
+    flex-direction: column;
+    color: #fff;
+    background-color: #282f2f;
+    border-right: 1px solid #5e6d6f;
+    padding: 0;
+    flex: 0 0 18rem;
+    z-index: 5;
+    font-size: 15px;
+    position: fixed;
+    left: -18rem;
+    width: 18rem;
+    height: 100%;
+    transition: left 0.3s;
+    /* Setting up a nicer theme style for the scrollbar */ }
+    html.theme--documenter-dark #documenter .docs-sidebar.visible {
+      left: 0;
+      box-shadow: 0.4rem 0rem 0.8rem #171717; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark #documenter .docs-sidebar.visible {
+          box-shadow: none; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark #documenter .docs-sidebar {
+        left: 0;
+        top: 0; } }
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo {
+      margin-top: 1rem;
+      padding: 0 1rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img {
+        max-height: 6rem;
+        margin: auto; }
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name {
+      flex-shrink: 0;
+      font-size: 1.5rem;
+      font-weight: 700;
+      text-align: center;
+      white-space: nowrap;
+      overflow: hidden;
+      padding: 0.5rem 0; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name .docs-autofit {
+        max-width: 16.2rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name a, html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name a:hover {
+        color: #fff; }
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-version-selector {
+      border-top: 1px solid #5e6d6f;
+      display: none;
+      padding: 0.5rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-version-selector.visible {
+        display: flex; }
+    html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu {
+      flex-grow: 1;
+      user-select: none;
+      border-top: 1px solid #5e6d6f;
+      padding-bottom: 1.5rem;
+      /* Managing collapsible submenus */ }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li > .tocitem {
+        font-weight: bold; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li li {
+        font-size: 14.25px;
+        margin-left: 1em;
+        border-left: 1px solid #5e6d6f; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input.collapse-toggle {
+        display: none; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.collapsed {
+        display: none; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input:checked ~ ul.collapsed {
+        display: block; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem {
+        display: flex; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-label {
+          flex-grow: 2; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron {
+          display: inline-block;
+          font-style: normal;
+          font-variant: normal;
+          text-rendering: auto;
+          line-height: 1;
+          font-size: 11.25px;
+          margin-left: 1rem;
+          margin-top: auto;
+          margin-bottom: auto; }
+          html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron::before {
+            font-family: "Font Awesome 5 Free";
+            font-weight: 900;
+            content: "\f054"; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input:checked ~ label.tocitem .docs-chevron::before {
+        content: "\f078"; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem {
+        display: block;
+        padding: 0.5rem 0.5rem; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem:hover {
+          color: #fff;
+          background: #282f2f; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu a.tocitem:hover, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem:hover {
+        color: #fff;
+        background-color: #32393a; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active {
+        border-top: 1px solid #5e6d6f;
+        border-bottom: 1px solid #5e6d6f;
+        background-color: #1f2424; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem:hover {
+          background-color: #1f2424;
+          color: #fff; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active ul.internal .tocitem:hover {
+          background-color: #32393a;
+          color: #fff; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li.is-active:first-child {
+        border-top: none; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal {
+        margin: 0 0.5rem 0.5rem;
+        border-top: 1px solid #5e6d6f; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal li {
+          font-size: 12.75px;
+          border-left: none;
+          margin-left: 0;
+          margin-top: 0.5rem; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem {
+          width: 100%;
+          padding: 0; }
+          html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem::before {
+            content: "⚬";
+            margin-right: 0.4em; }
+    html.theme--documenter-dark #documenter .docs-sidebar form.docs-search {
+      margin: auto;
+      margin-top: 0.5rem;
+      margin-bottom: 0.5rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+        width: 14.4rem; }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu {
+        overflow-y: auto;
+        -webkit-overflow-scroll: touch; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar {
+          width: .3rem;
+          background: none; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb {
+          border-radius: 5px 0px 0px 5px;
+          background: #3b4445; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb:hover {
+          background: #4e5a5c; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark #documenter .docs-sidebar {
+        overflow-y: auto;
+        -webkit-overflow-scroll: touch; }
+        html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar {
+          width: .3rem;
+          background: none; }
+        html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar-thumb {
+          border-radius: 5px 0px 0px 5px;
+          background: #3b4445; }
+        html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar-thumb:hover {
+          background: #4e5a5c; } }
+  html.theme--documenter-dark #documenter .docs-main #documenter-search-info {
+    margin-bottom: 1rem; }
+  html.theme--documenter-dark #documenter .docs-main #documenter-search-results {
+    list-style-type: circle;
+    list-style-position: outside; }
+    html.theme--documenter-dark #documenter .docs-main #documenter-search-results li {
+      margin-left: 2rem; }
+    html.theme--documenter-dark #documenter .docs-main #documenter-search-results .docs-highlight {
+      background-color: yellow; }
+  html.theme--documenter-dark {
+    background-color: #1f2424;
+    font-size: 16px;
+    min-width: 300px;
+    overflow-x: auto;
+    overflow-y: scroll;
+    text-rendering: optimizeLegibility;
+    text-size-adjust: 100%; }
+  html.theme--documenter-dark .ansi span.sgr1 {
+    font-weight: bolder; }
+  html.theme--documenter-dark .ansi span.sgr2 {
+    font-weight: lighter; }
+  html.theme--documenter-dark .ansi span.sgr3 {
+    font-style: italic; }
+  html.theme--documenter-dark .ansi span.sgr4 {
+    text-decoration: underline; }
+  html.theme--documenter-dark .ansi span.sgr7 {
+    color: #1f2424;
+    background-color: #fff; }
+  html.theme--documenter-dark .ansi span.sgr8 {
+    color: transparent; }
+    html.theme--documenter-dark .ansi span.sgr8 span {
+      color: transparent; }
+  html.theme--documenter-dark .ansi span.sgr9 {
+    text-decoration: line-through; }
+  html.theme--documenter-dark .ansi span.sgr30 {
+    color: #242424; }
+  html.theme--documenter-dark .ansi span.sgr31 {
+    color: #f6705f; }
+  html.theme--documenter-dark .ansi span.sgr32 {
+    color: #4fb43a; }
+  html.theme--documenter-dark .ansi span.sgr33 {
+    color: #f4c72f; }
+  html.theme--documenter-dark .ansi span.sgr34 {
+    color: #7587f0; }
+  html.theme--documenter-dark .ansi span.sgr35 {
+    color: #bc89d3; }
+  html.theme--documenter-dark .ansi span.sgr36 {
+    color: #49b6ca; }
+  html.theme--documenter-dark .ansi span.sgr37 {
+    color: #b3bdbe; }
+  html.theme--documenter-dark .ansi span.sgr40 {
+    background-color: #242424; }
+  html.theme--documenter-dark .ansi span.sgr41 {
+    background-color: #f6705f; }
+  html.theme--documenter-dark .ansi span.sgr42 {
+    background-color: #4fb43a; }
+  html.theme--documenter-dark .ansi span.sgr43 {
+    background-color: #f4c72f; }
+  html.theme--documenter-dark .ansi span.sgr44 {
+    background-color: #7587f0; }
+  html.theme--documenter-dark .ansi span.sgr45 {
+    background-color: #bc89d3; }
+  html.theme--documenter-dark .ansi span.sgr46 {
+    background-color: #49b6ca; }
+  html.theme--documenter-dark .ansi span.sgr47 {
+    background-color: #b3bdbe; }
+  html.theme--documenter-dark .ansi span.sgr90 {
+    color: #92a0a2; }
+  html.theme--documenter-dark .ansi span.sgr91 {
+    color: #ff8674; }
+  html.theme--documenter-dark .ansi span.sgr92 {
+    color: #79d462; }
+  html.theme--documenter-dark .ansi span.sgr93 {
+    color: #ffe76b; }
+  html.theme--documenter-dark .ansi span.sgr94 {
+    color: #8a98ff; }
+  html.theme--documenter-dark .ansi span.sgr95 {
+    color: #d2a4e6; }
+  html.theme--documenter-dark .ansi span.sgr96 {
+    color: #6bc8db; }
+  html.theme--documenter-dark .ansi span.sgr97 {
+    color: #ecf0f1; }
+  html.theme--documenter-dark .ansi span.sgr100 {
+    background-color: #92a0a2; }
+  html.theme--documenter-dark .ansi span.sgr101 {
+    background-color: #ff8674; }
+  html.theme--documenter-dark .ansi span.sgr102 {
+    background-color: #79d462; }
+  html.theme--documenter-dark .ansi span.sgr103 {
+    background-color: #ffe76b; }
+  html.theme--documenter-dark .ansi span.sgr104 {
+    background-color: #8a98ff; }
+  html.theme--documenter-dark .ansi span.sgr105 {
+    background-color: #d2a4e6; }
+  html.theme--documenter-dark .ansi span.sgr106 {
+    background-color: #6bc8db; }
+  html.theme--documenter-dark .ansi span.sgr107 {
+    background-color: #ecf0f1; }
+  html.theme--documenter-dark code.language-julia-repl > span.hljs-meta {
+    color: #4fb43a;
+    font-weight: bolder; }
+  html.theme--documenter-dark .hljs {
+    background: #2b2b2b;
+    color: #f8f8f2; }
+  html.theme--documenter-dark .hljs-comment,
+  html.theme--documenter-dark .hljs-quote {
+    color: #d4d0ab; }
+  html.theme--documenter-dark .hljs-variable,
+  html.theme--documenter-dark .hljs-template-variable,
+  html.theme--documenter-dark .hljs-tag,
+  html.theme--documenter-dark .hljs-name,
+  html.theme--documenter-dark .hljs-selector-id,
+  html.theme--documenter-dark .hljs-selector-class,
+  html.theme--documenter-dark .hljs-regexp,
+  html.theme--documenter-dark .hljs-deletion {
+    color: #ffa07a; }
+  html.theme--documenter-dark .hljs-number,
+  html.theme--documenter-dark .hljs-built_in,
+  html.theme--documenter-dark .hljs-literal,
+  html.theme--documenter-dark .hljs-type,
+  html.theme--documenter-dark .hljs-params,
+  html.theme--documenter-dark .hljs-meta,
+  html.theme--documenter-dark .hljs-link {
+    color: #f5ab35; }
+  html.theme--documenter-dark .hljs-attribute {
+    color: #ffd700; }
+  html.theme--documenter-dark .hljs-string,
+  html.theme--documenter-dark .hljs-symbol,
+  html.theme--documenter-dark .hljs-bullet,
+  html.theme--documenter-dark .hljs-addition {
+    color: #abe338; }
+  html.theme--documenter-dark .hljs-title,
+  html.theme--documenter-dark .hljs-section {
+    color: #00e0e0; }
+  html.theme--documenter-dark .hljs-keyword,
+  html.theme--documenter-dark .hljs-selector-tag {
+    color: #dcc6e0; }
+  html.theme--documenter-dark .hljs-emphasis {
+    font-style: italic; }
+  html.theme--documenter-dark .hljs-strong {
+    font-weight: bold; }
+  @media screen and (-ms-high-contrast: active) {
+    html.theme--documenter-dark .hljs-addition,
+    html.theme--documenter-dark .hljs-attribute,
+    html.theme--documenter-dark .hljs-built_in,
+    html.theme--documenter-dark .hljs-bullet,
+    html.theme--documenter-dark .hljs-comment,
+    html.theme--documenter-dark .hljs-link,
+    html.theme--documenter-dark .hljs-literal,
+    html.theme--documenter-dark .hljs-meta,
+    html.theme--documenter-dark .hljs-number,
+    html.theme--documenter-dark .hljs-params,
+    html.theme--documenter-dark .hljs-string,
+    html.theme--documenter-dark .hljs-symbol,
+    html.theme--documenter-dark .hljs-type,
+    html.theme--documenter-dark .hljs-quote {
+      color: highlight; }
+    html.theme--documenter-dark .hljs-keyword,
+    html.theme--documenter-dark .hljs-selector-tag {
+      font-weight: bold; } }
+  html.theme--documenter-dark .hljs-subst {
+    color: #f8f8f2; }
diff --git a/v0.3.18/assets/themes/documenter-light.css b/v0.3.18/assets/themes/documenter-light.css
new file mode 100644
index 000000000..9595d5b8e
--- /dev/null
+++ b/v0.3.18/assets/themes/documenter-light.css
@@ -0,0 +1,7738 @@
+@charset "UTF-8";
+/* Font Awesome 5 mixin. Can be included in any rule that should render Font Awesome icons. */
+@keyframes spinAround {
+  from {
+    transform: rotate(0deg); }
+  to {
+    transform: rotate(359deg); } }
+
+.tabs, .pagination-previous,
+.pagination-next,
+.pagination-link,
+.pagination-ellipsis, .breadcrumb, .file, .button, .is-unselectable, .modal-close, .delete {
+  -webkit-touch-callout: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  user-select: none; }
+
+.navbar-link:not(.is-arrowless)::after, .select:not(.is-multiple):not(.is-loading)::after {
+  border: 3px solid transparent;
+  border-radius: 2px;
+  border-right: 0;
+  border-top: 0;
+  content: " ";
+  display: block;
+  height: 0.625em;
+  margin-top: -0.4375em;
+  pointer-events: none;
+  position: absolute;
+  top: 50%;
+  transform: rotate(-45deg);
+  transform-origin: center;
+  width: 0.625em; }
+
+.admonition:not(:last-child), .tabs:not(:last-child), .message:not(:last-child), .list:not(:last-child), .level:not(:last-child), .breadcrumb:not(:last-child), .highlight:not(:last-child), .block:not(:last-child), .title:not(:last-child),
+.subtitle:not(:last-child), .table-container:not(:last-child), .table:not(:last-child), .progress:not(:last-child), .notification:not(:last-child), .content:not(:last-child), .box:not(:last-child) {
+  margin-bottom: 1.5rem; }
+
+.modal-close, .delete {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  background-color: rgba(10, 10, 10, 0.2);
+  border: none;
+  border-radius: 290486px;
+  cursor: pointer;
+  pointer-events: auto;
+  display: inline-block;
+  flex-grow: 0;
+  flex-shrink: 0;
+  font-size: 0;
+  height: 20px;
+  max-height: 20px;
+  max-width: 20px;
+  min-height: 20px;
+  min-width: 20px;
+  outline: none;
+  position: relative;
+  vertical-align: top;
+  width: 20px; }
+  .modal-close::before, .delete::before, .modal-close::after, .delete::after {
+    background-color: white;
+    content: "";
+    display: block;
+    left: 50%;
+    position: absolute;
+    top: 50%;
+    transform: translateX(-50%) translateY(-50%) rotate(45deg);
+    transform-origin: center center; }
+  .modal-close::before, .delete::before {
+    height: 2px;
+    width: 50%; }
+  .modal-close::after, .delete::after {
+    height: 50%;
+    width: 2px; }
+  .modal-close:hover, .delete:hover, .modal-close:focus, .delete:focus {
+    background-color: rgba(10, 10, 10, 0.3); }
+  .modal-close:active, .delete:active {
+    background-color: rgba(10, 10, 10, 0.4); }
+  .is-small.modal-close, #documenter .docs-sidebar form.docs-search > input.modal-close, .is-small.delete, #documenter .docs-sidebar form.docs-search > input.delete {
+    height: 16px;
+    max-height: 16px;
+    max-width: 16px;
+    min-height: 16px;
+    min-width: 16px;
+    width: 16px; }
+  .is-medium.modal-close, .is-medium.delete {
+    height: 24px;
+    max-height: 24px;
+    max-width: 24px;
+    min-height: 24px;
+    min-width: 24px;
+    width: 24px; }
+  .is-large.modal-close, .is-large.delete {
+    height: 32px;
+    max-height: 32px;
+    max-width: 32px;
+    min-height: 32px;
+    min-width: 32px;
+    width: 32px; }
+
+.control.is-loading::after, .select.is-loading::after, .loader, .button.is-loading::after {
+  animation: spinAround 500ms infinite linear;
+  border: 2px solid #dbdbdb;
+  border-radius: 290486px;
+  border-right-color: transparent;
+  border-top-color: transparent;
+  content: "";
+  display: block;
+  height: 1em;
+  position: relative;
+  width: 1em; }
+
+.hero-video, .modal-background, .modal, .image.is-square img, #documenter .docs-sidebar .docs-logo > img.is-square img,
+.image.is-square .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, .image.is-1by1 img, #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+.image.is-1by1 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, .image.is-5by4 img, #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+.image.is-5by4 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, .image.is-4by3 img, #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+.image.is-4by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, .image.is-3by2 img, #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+.image.is-3by2 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, .image.is-5by3 img, #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+.image.is-5by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, .image.is-16by9 img, #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+.image.is-16by9 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, .image.is-2by1 img, #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+.image.is-2by1 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, .image.is-3by1 img, #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+.image.is-3by1 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, .image.is-4by5 img, #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+.image.is-4by5 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, .image.is-3by4 img, #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+.image.is-3by4 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, .image.is-2by3 img, #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+.image.is-2by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, .image.is-3by5 img, #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+.image.is-3by5 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, .image.is-9by16 img, #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+.image.is-9by16 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, .image.is-1by2 img, #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+.image.is-1by2 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, .image.is-1by3 img, #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+.image.is-1by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio, .is-overlay {
+  bottom: 0;
+  left: 0;
+  position: absolute;
+  right: 0;
+  top: 0; }
+
+.pagination-previous,
+.pagination-next,
+.pagination-link,
+.pagination-ellipsis, .file-cta,
+.file-name, .select select, .textarea, .input, #documenter .docs-sidebar form.docs-search > input, .button {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  align-items: center;
+  border: 1px solid transparent;
+  border-radius: 4px;
+  box-shadow: none;
+  display: inline-flex;
+  font-size: 1rem;
+  height: 2.25em;
+  justify-content: flex-start;
+  line-height: 1.5;
+  padding-bottom: calc(0.375em - 1px);
+  padding-left: calc(0.625em - 1px);
+  padding-right: calc(0.625em - 1px);
+  padding-top: calc(0.375em - 1px);
+  position: relative;
+  vertical-align: top; }
+  .pagination-previous:focus,
+  .pagination-next:focus,
+  .pagination-link:focus,
+  .pagination-ellipsis:focus, .file-cta:focus,
+  .file-name:focus, .select select:focus, .textarea:focus, .input:focus, #documenter .docs-sidebar form.docs-search > input:focus, .button:focus, .is-focused.pagination-previous,
+  .is-focused.pagination-next,
+  .is-focused.pagination-link,
+  .is-focused.pagination-ellipsis, .is-focused.file-cta,
+  .is-focused.file-name, .select select.is-focused, .is-focused.textarea, .is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-focused.button, .pagination-previous:active,
+  .pagination-next:active,
+  .pagination-link:active,
+  .pagination-ellipsis:active, .file-cta:active,
+  .file-name:active, .select select:active, .textarea:active, .input:active, #documenter .docs-sidebar form.docs-search > input:active, .button:active, .is-active.pagination-previous,
+  .is-active.pagination-next,
+  .is-active.pagination-link,
+  .is-active.pagination-ellipsis, .is-active.file-cta,
+  .is-active.file-name, .select select.is-active, .is-active.textarea, .is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .is-active.button {
+    outline: none; }
+  .pagination-previous[disabled],
+  .pagination-next[disabled],
+  .pagination-link[disabled],
+  .pagination-ellipsis[disabled], .file-cta[disabled],
+  .file-name[disabled], .select select[disabled], .textarea[disabled], .input[disabled], #documenter .docs-sidebar form.docs-search > input[disabled], .button[disabled], fieldset[disabled] .pagination-previous,
+  fieldset[disabled] .pagination-next,
+  fieldset[disabled] .pagination-link,
+  fieldset[disabled] .pagination-ellipsis, fieldset[disabled] .file-cta,
+  fieldset[disabled] .file-name, fieldset[disabled] .select select, .select fieldset[disabled] select, fieldset[disabled] .textarea, fieldset[disabled] .input, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input, fieldset[disabled] .button {
+    cursor: not-allowed; }
+
+/*! minireset.css v0.0.4 | MIT License | github.com/jgthms/minireset.css */
+html,
+body,
+p,
+ol,
+ul,
+li,
+dl,
+dt,
+dd,
+blockquote,
+figure,
+fieldset,
+legend,
+textarea,
+pre,
+iframe,
+hr,
+h1,
+h2,
+h3,
+h4,
+h5,
+h6 {
+  margin: 0;
+  padding: 0; }
+
+h1,
+h2,
+h3,
+h4,
+h5,
+h6 {
+  font-size: 100%;
+  font-weight: normal; }
+
+ul {
+  list-style: none; }
+
+button,
+input,
+select,
+textarea {
+  margin: 0; }
+
+html {
+  box-sizing: border-box; }
+
+*, *::before, *::after {
+  box-sizing: inherit; }
+
+img,
+embed,
+iframe,
+object,
+video {
+  height: auto;
+  max-width: 100%; }
+
+audio {
+  max-width: 100%; }
+
+iframe {
+  border: 0; }
+
+table {
+  border-collapse: collapse;
+  border-spacing: 0; }
+
+td,
+th {
+  padding: 0; }
+  td:not([align]),
+  th:not([align]) {
+    text-align: left; }
+
+html {
+  background-color: white;
+  font-size: 16px;
+  -moz-osx-font-smoothing: grayscale;
+  -webkit-font-smoothing: antialiased;
+  min-width: 300px;
+  overflow-x: auto;
+  overflow-y: scroll;
+  text-rendering: optimizeLegibility;
+  text-size-adjust: 100%; }
+
+article,
+aside,
+figure,
+footer,
+header,
+hgroup,
+section {
+  display: block; }
+
+body,
+button,
+input,
+select,
+textarea {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif; }
+
+code,
+pre {
+  -moz-osx-font-smoothing: auto;
+  -webkit-font-smoothing: auto;
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace; }
+
+body {
+  color: #222222;
+  font-size: 1em;
+  font-weight: 400;
+  line-height: 1.5; }
+
+a {
+  color: #2e63b8;
+  cursor: pointer;
+  text-decoration: none; }
+  a strong {
+    color: currentColor; }
+  a:hover {
+    color: #363636; }
+
+code {
+  background-color: rgba(0, 0, 0, 0.05);
+  color: #000000;
+  font-size: 0.875em;
+  font-weight: normal;
+  padding: 0.1em; }
+
+hr {
+  background-color: whitesmoke;
+  border: none;
+  display: block;
+  height: 2px;
+  margin: 1.5rem 0; }
+
+img {
+  height: auto;
+  max-width: 100%; }
+
+input[type="checkbox"],
+input[type="radio"] {
+  vertical-align: baseline; }
+
+small {
+  font-size: 0.875em; }
+
+span {
+  font-style: inherit;
+  font-weight: inherit; }
+
+strong {
+  color: #222222;
+  font-weight: 700; }
+
+fieldset {
+  border: none; }
+
+pre {
+  -webkit-overflow-scrolling: touch;
+  background-color: whitesmoke;
+  color: #222222;
+  font-size: 0.875em;
+  overflow-x: auto;
+  padding: 1.25rem 1.5rem;
+  white-space: pre;
+  word-wrap: normal; }
+  pre code {
+    background-color: transparent;
+    color: currentColor;
+    font-size: 1em;
+    padding: 0; }
+
+table td,
+table th {
+  vertical-align: top; }
+  table td:not([align]),
+  table th:not([align]) {
+    text-align: left; }
+
+table th {
+  color: #222222; }
+
+.is-clearfix::after {
+  clear: both;
+  content: " ";
+  display: table; }
+
+.is-pulled-left {
+  float: left !important; }
+
+.is-pulled-right {
+  float: right !important; }
+
+.is-clipped {
+  overflow: hidden !important; }
+
+.is-size-1 {
+  font-size: 3rem !important; }
+
+.is-size-2 {
+  font-size: 2.5rem !important; }
+
+.is-size-3 {
+  font-size: 2rem !important; }
+
+.is-size-4 {
+  font-size: 1.5rem !important; }
+
+.is-size-5 {
+  font-size: 1.25rem !important; }
+
+.is-size-6 {
+  font-size: 1rem !important; }
+
+.is-size-7, .docstring > section > a.docs-sourcelink {
+  font-size: 0.75rem !important; }
+
+@media screen and (max-width: 768px) {
+  .is-size-1-mobile {
+    font-size: 3rem !important; }
+  .is-size-2-mobile {
+    font-size: 2.5rem !important; }
+  .is-size-3-mobile {
+    font-size: 2rem !important; }
+  .is-size-4-mobile {
+    font-size: 1.5rem !important; }
+  .is-size-5-mobile {
+    font-size: 1.25rem !important; }
+  .is-size-6-mobile {
+    font-size: 1rem !important; }
+  .is-size-7-mobile {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-size-1-tablet {
+    font-size: 3rem !important; }
+  .is-size-2-tablet {
+    font-size: 2.5rem !important; }
+  .is-size-3-tablet {
+    font-size: 2rem !important; }
+  .is-size-4-tablet {
+    font-size: 1.5rem !important; }
+  .is-size-5-tablet {
+    font-size: 1.25rem !important; }
+  .is-size-6-tablet {
+    font-size: 1rem !important; }
+  .is-size-7-tablet {
+    font-size: 0.75rem !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-size-1-touch {
+    font-size: 3rem !important; }
+  .is-size-2-touch {
+    font-size: 2.5rem !important; }
+  .is-size-3-touch {
+    font-size: 2rem !important; }
+  .is-size-4-touch {
+    font-size: 1.5rem !important; }
+  .is-size-5-touch {
+    font-size: 1.25rem !important; }
+  .is-size-6-touch {
+    font-size: 1rem !important; }
+  .is-size-7-touch {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-size-1-desktop {
+    font-size: 3rem !important; }
+  .is-size-2-desktop {
+    font-size: 2.5rem !important; }
+  .is-size-3-desktop {
+    font-size: 2rem !important; }
+  .is-size-4-desktop {
+    font-size: 1.5rem !important; }
+  .is-size-5-desktop {
+    font-size: 1.25rem !important; }
+  .is-size-6-desktop {
+    font-size: 1rem !important; }
+  .is-size-7-desktop {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-size-1-widescreen {
+    font-size: 3rem !important; }
+  .is-size-2-widescreen {
+    font-size: 2.5rem !important; }
+  .is-size-3-widescreen {
+    font-size: 2rem !important; }
+  .is-size-4-widescreen {
+    font-size: 1.5rem !important; }
+  .is-size-5-widescreen {
+    font-size: 1.25rem !important; }
+  .is-size-6-widescreen {
+    font-size: 1rem !important; }
+  .is-size-7-widescreen {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-size-1-fullhd {
+    font-size: 3rem !important; }
+  .is-size-2-fullhd {
+    font-size: 2.5rem !important; }
+  .is-size-3-fullhd {
+    font-size: 2rem !important; }
+  .is-size-4-fullhd {
+    font-size: 1.5rem !important; }
+  .is-size-5-fullhd {
+    font-size: 1.25rem !important; }
+  .is-size-6-fullhd {
+    font-size: 1rem !important; }
+  .is-size-7-fullhd {
+    font-size: 0.75rem !important; } }
+
+.has-text-centered {
+  text-align: center !important; }
+
+.has-text-justified {
+  text-align: justify !important; }
+
+.has-text-left {
+  text-align: left !important; }
+
+.has-text-right {
+  text-align: right !important; }
+
+@media screen and (max-width: 768px) {
+  .has-text-centered-mobile {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-centered-tablet {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-centered-tablet-only {
+    text-align: center !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-centered-touch {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-centered-desktop {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-centered-desktop-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-centered-widescreen {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-centered-widescreen-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-centered-fullhd {
+    text-align: center !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-justified-mobile {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-justified-tablet {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-justified-tablet-only {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-justified-touch {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-justified-desktop {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-justified-desktop-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-justified-widescreen {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-justified-widescreen-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-justified-fullhd {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-left-mobile {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-left-tablet {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-left-tablet-only {
+    text-align: left !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-left-touch {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-left-desktop {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-left-desktop-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-left-widescreen {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-left-widescreen-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-left-fullhd {
+    text-align: left !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-right-mobile {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-right-tablet {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-right-tablet-only {
+    text-align: right !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-right-touch {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-right-desktop {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-right-desktop-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-right-widescreen {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-right-widescreen-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-right-fullhd {
+    text-align: right !important; } }
+
+.is-capitalized {
+  text-transform: capitalize !important; }
+
+.is-lowercase {
+  text-transform: lowercase !important; }
+
+.is-uppercase {
+  text-transform: uppercase !important; }
+
+.is-italic {
+  font-style: italic !important; }
+
+.has-text-white {
+  color: white !important; }
+
+a.has-text-white:hover, a.has-text-white:focus {
+  color: #e6e6e6 !important; }
+
+.has-background-white {
+  background-color: white !important; }
+
+.has-text-black {
+  color: #0a0a0a !important; }
+
+a.has-text-black:hover, a.has-text-black:focus {
+  color: black !important; }
+
+.has-background-black {
+  background-color: #0a0a0a !important; }
+
+.has-text-light {
+  color: whitesmoke !important; }
+
+a.has-text-light:hover, a.has-text-light:focus {
+  color: #dbdbdb !important; }
+
+.has-background-light {
+  background-color: whitesmoke !important; }
+
+.has-text-dark {
+  color: #363636 !important; }
+
+a.has-text-dark:hover, a.has-text-dark:focus {
+  color: #1c1c1c !important; }
+
+.has-background-dark {
+  background-color: #363636 !important; }
+
+.has-text-primary {
+  color: #4eb5de !important; }
+
+a.has-text-primary:hover, a.has-text-primary:focus {
+  color: #27a1d2 !important; }
+
+.has-background-primary {
+  background-color: #4eb5de !important; }
+
+.has-text-link {
+  color: #2e63b8 !important; }
+
+a.has-text-link:hover, a.has-text-link:focus {
+  color: #244d8f !important; }
+
+.has-background-link {
+  background-color: #2e63b8 !important; }
+
+.has-text-info {
+  color: #209cee !important; }
+
+a.has-text-info:hover, a.has-text-info:focus {
+  color: #1081cb !important; }
+
+.has-background-info {
+  background-color: #209cee !important; }
+
+.has-text-success {
+  color: #22c35b !important; }
+
+a.has-text-success:hover, a.has-text-success:focus {
+  color: #1a9847 !important; }
+
+.has-background-success {
+  background-color: #22c35b !important; }
+
+.has-text-warning {
+  color: #ffdd57 !important; }
+
+a.has-text-warning:hover, a.has-text-warning:focus {
+  color: #ffd324 !important; }
+
+.has-background-warning {
+  background-color: #ffdd57 !important; }
+
+.has-text-danger {
+  color: #da0b00 !important; }
+
+a.has-text-danger:hover, a.has-text-danger:focus {
+  color: #a70800 !important; }
+
+.has-background-danger {
+  background-color: #da0b00 !important; }
+
+.has-text-black-bis {
+  color: #121212 !important; }
+
+.has-background-black-bis {
+  background-color: #121212 !important; }
+
+.has-text-black-ter {
+  color: #242424 !important; }
+
+.has-background-black-ter {
+  background-color: #242424 !important; }
+
+.has-text-grey-darker {
+  color: #363636 !important; }
+
+.has-background-grey-darker {
+  background-color: #363636 !important; }
+
+.has-text-grey-dark {
+  color: #4a4a4a !important; }
+
+.has-background-grey-dark {
+  background-color: #4a4a4a !important; }
+
+.has-text-grey {
+  color: #6b6b6b !important; }
+
+.has-background-grey {
+  background-color: #6b6b6b !important; }
+
+.has-text-grey-light {
+  color: #b5b5b5 !important; }
+
+.has-background-grey-light {
+  background-color: #b5b5b5 !important; }
+
+.has-text-grey-lighter {
+  color: #dbdbdb !important; }
+
+.has-background-grey-lighter {
+  background-color: #dbdbdb !important; }
+
+.has-text-white-ter {
+  color: whitesmoke !important; }
+
+.has-background-white-ter {
+  background-color: whitesmoke !important; }
+
+.has-text-white-bis {
+  color: #fafafa !important; }
+
+.has-background-white-bis {
+  background-color: #fafafa !important; }
+
+.has-text-weight-light {
+  font-weight: 300 !important; }
+
+.has-text-weight-normal {
+  font-weight: 400 !important; }
+
+.has-text-weight-medium {
+  font-weight: 500 !important; }
+
+.has-text-weight-semibold {
+  font-weight: 600 !important; }
+
+.has-text-weight-bold {
+  font-weight: 700 !important; }
+
+.is-family-primary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-secondary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-sans-serif {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-monospace {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-family-code {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-block {
+  display: block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-block-mobile {
+    display: block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-block-tablet {
+    display: block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-block-tablet-only {
+    display: block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-block-touch {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-block-desktop {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-block-desktop-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-block-widescreen {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-block-widescreen-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-block-fullhd {
+    display: block !important; } }
+
+.is-flex {
+  display: flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-flex-mobile {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-flex-tablet {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-flex-tablet-only {
+    display: flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-flex-touch {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-flex-desktop {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-flex-desktop-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-flex-widescreen {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-flex-widescreen-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-flex-fullhd {
+    display: flex !important; } }
+
+.is-inline {
+  display: inline !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-mobile {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-tablet {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-tablet-only {
+    display: inline !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-touch {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-desktop {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-desktop-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-widescreen {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-widescreen-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-fullhd {
+    display: inline !important; } }
+
+.is-inline-block {
+  display: inline-block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-block-mobile {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-block-tablet {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-block-tablet-only {
+    display: inline-block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-block-touch {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-block-desktop {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-block-desktop-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-block-widescreen {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-block-widescreen-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-block-fullhd {
+    display: inline-block !important; } }
+
+.is-inline-flex {
+  display: inline-flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-flex-mobile {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-flex-tablet {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-flex-tablet-only {
+    display: inline-flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-flex-touch {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-flex-desktop {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-flex-desktop-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-flex-widescreen {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-flex-widescreen-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-flex-fullhd {
+    display: inline-flex !important; } }
+
+.is-hidden {
+  display: none !important; }
+
+.is-sr-only {
+  border: none !important;
+  clip: rect(0, 0, 0, 0) !important;
+  height: 0.01em !important;
+  overflow: hidden !important;
+  padding: 0 !important;
+  position: absolute !important;
+  white-space: nowrap !important;
+  width: 0.01em !important; }
+
+@media screen and (max-width: 768px) {
+  .is-hidden-mobile {
+    display: none !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-hidden-tablet {
+    display: none !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-hidden-tablet-only {
+    display: none !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-hidden-touch {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-hidden-desktop {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-hidden-desktop-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-hidden-widescreen {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-hidden-widescreen-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-hidden-fullhd {
+    display: none !important; } }
+
+.is-invisible {
+  visibility: hidden !important; }
+
+@media screen and (max-width: 768px) {
+  .is-invisible-mobile {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-invisible-tablet {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-invisible-tablet-only {
+    visibility: hidden !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-invisible-touch {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-invisible-desktop {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-invisible-desktop-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-invisible-widescreen {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-invisible-widescreen-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-invisible-fullhd {
+    visibility: hidden !important; } }
+
+.is-marginless {
+  margin: 0 !important; }
+
+.is-paddingless {
+  padding: 0 !important; }
+
+.is-radiusless {
+  border-radius: 0 !important; }
+
+.is-shadowless {
+  box-shadow: none !important; }
+
+.is-relative {
+  position: relative !important; }
+
+.box {
+  background-color: white;
+  border-radius: 6px;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+  color: #222222;
+  display: block;
+  padding: 1.25rem; }
+
+a.box:hover, a.box:focus {
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px #2e63b8; }
+
+a.box:active {
+  box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2), 0 0 0 1px #2e63b8; }
+
+.button {
+  background-color: white;
+  border-color: #dbdbdb;
+  border-width: 1px;
+  color: #363636;
+  cursor: pointer;
+  justify-content: center;
+  padding-bottom: calc(0.375em - 1px);
+  padding-left: 0.75em;
+  padding-right: 0.75em;
+  padding-top: calc(0.375em - 1px);
+  text-align: center;
+  white-space: nowrap; }
+  .button strong {
+    color: inherit; }
+  .button .icon, .button .icon.is-small, .button #documenter .docs-sidebar form.docs-search > input.icon, #documenter .docs-sidebar .button form.docs-search > input.icon, .button .icon.is-medium, .button .icon.is-large {
+    height: 1.5em;
+    width: 1.5em; }
+  .button .icon:first-child:not(:last-child) {
+    margin-left: calc(-0.375em - 1px);
+    margin-right: 0.1875em; }
+  .button .icon:last-child:not(:first-child) {
+    margin-left: 0.1875em;
+    margin-right: calc(-0.375em - 1px); }
+  .button .icon:first-child:last-child {
+    margin-left: calc(-0.375em - 1px);
+    margin-right: calc(-0.375em - 1px); }
+  .button:hover, .button.is-hovered {
+    border-color: #b5b5b5;
+    color: #363636; }
+  .button:focus, .button.is-focused {
+    border-color: #3c5dcd;
+    color: #363636; }
+    .button:focus:not(:active), .button.is-focused:not(:active) {
+      box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .button:active, .button.is-active {
+    border-color: #4a4a4a;
+    color: #363636; }
+  .button.is-text {
+    background-color: transparent;
+    border-color: transparent;
+    color: #222222;
+    text-decoration: underline; }
+    .button.is-text:hover, .button.is-text.is-hovered, .button.is-text:focus, .button.is-text.is-focused {
+      background-color: whitesmoke;
+      color: #222222; }
+    .button.is-text:active, .button.is-text.is-active {
+      background-color: #e8e8e8;
+      color: #222222; }
+    .button.is-text[disabled], fieldset[disabled] .button.is-text {
+      background-color: transparent;
+      border-color: transparent;
+      box-shadow: none; }
+  .button.is-white {
+    background-color: white;
+    border-color: transparent;
+    color: #0a0a0a; }
+    .button.is-white:hover, .button.is-white.is-hovered {
+      background-color: #f9f9f9;
+      border-color: transparent;
+      color: #0a0a0a; }
+    .button.is-white:focus, .button.is-white.is-focused {
+      border-color: transparent;
+      color: #0a0a0a; }
+      .button.is-white:focus:not(:active), .button.is-white.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+    .button.is-white:active, .button.is-white.is-active {
+      background-color: #f2f2f2;
+      border-color: transparent;
+      color: #0a0a0a; }
+    .button.is-white[disabled], fieldset[disabled] .button.is-white {
+      background-color: white;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-white.is-inverted {
+      background-color: #0a0a0a;
+      color: white; }
+      .button.is-white.is-inverted:hover, .button.is-white.is-inverted.is-hovered {
+        background-color: black; }
+      .button.is-white.is-inverted[disabled], fieldset[disabled] .button.is-white.is-inverted {
+        background-color: #0a0a0a;
+        border-color: transparent;
+        box-shadow: none;
+        color: white; }
+    .button.is-white.is-loading::after {
+      border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+    .button.is-white.is-outlined {
+      background-color: transparent;
+      border-color: white;
+      color: white; }
+      .button.is-white.is-outlined:hover, .button.is-white.is-outlined.is-hovered, .button.is-white.is-outlined:focus, .button.is-white.is-outlined.is-focused {
+        background-color: white;
+        border-color: white;
+        color: #0a0a0a; }
+      .button.is-white.is-outlined.is-loading::after {
+        border-color: transparent transparent white white !important; }
+      .button.is-white.is-outlined.is-loading:hover::after, .button.is-white.is-outlined.is-loading.is-hovered::after, .button.is-white.is-outlined.is-loading:focus::after, .button.is-white.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      .button.is-white.is-outlined[disabled], fieldset[disabled] .button.is-white.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        box-shadow: none;
+        color: white; }
+    .button.is-white.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #0a0a0a;
+      color: #0a0a0a; }
+      .button.is-white.is-inverted.is-outlined:hover, .button.is-white.is-inverted.is-outlined.is-hovered, .button.is-white.is-inverted.is-outlined:focus, .button.is-white.is-inverted.is-outlined.is-focused {
+        background-color: #0a0a0a;
+        color: white; }
+      .button.is-white.is-inverted.is-outlined.is-loading:hover::after, .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-white.is-inverted.is-outlined.is-loading:focus::after, .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent white white !important; }
+      .button.is-white.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-white.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        box-shadow: none;
+        color: #0a0a0a; }
+  .button.is-black {
+    background-color: #0a0a0a;
+    border-color: transparent;
+    color: white; }
+    .button.is-black:hover, .button.is-black.is-hovered {
+      background-color: #040404;
+      border-color: transparent;
+      color: white; }
+    .button.is-black:focus, .button.is-black.is-focused {
+      border-color: transparent;
+      color: white; }
+      .button.is-black:focus:not(:active), .button.is-black.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+    .button.is-black:active, .button.is-black.is-active {
+      background-color: black;
+      border-color: transparent;
+      color: white; }
+    .button.is-black[disabled], fieldset[disabled] .button.is-black {
+      background-color: #0a0a0a;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-black.is-inverted {
+      background-color: white;
+      color: #0a0a0a; }
+      .button.is-black.is-inverted:hover, .button.is-black.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-black.is-inverted[disabled], fieldset[disabled] .button.is-black.is-inverted {
+        background-color: white;
+        border-color: transparent;
+        box-shadow: none;
+        color: #0a0a0a; }
+    .button.is-black.is-loading::after {
+      border-color: transparent transparent white white !important; }
+    .button.is-black.is-outlined {
+      background-color: transparent;
+      border-color: #0a0a0a;
+      color: #0a0a0a; }
+      .button.is-black.is-outlined:hover, .button.is-black.is-outlined.is-hovered, .button.is-black.is-outlined:focus, .button.is-black.is-outlined.is-focused {
+        background-color: #0a0a0a;
+        border-color: #0a0a0a;
+        color: white; }
+      .button.is-black.is-outlined.is-loading::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      .button.is-black.is-outlined.is-loading:hover::after, .button.is-black.is-outlined.is-loading.is-hovered::after, .button.is-black.is-outlined.is-loading:focus::after, .button.is-black.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent white white !important; }
+      .button.is-black.is-outlined[disabled], fieldset[disabled] .button.is-black.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        box-shadow: none;
+        color: #0a0a0a; }
+    .button.is-black.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: white;
+      color: white; }
+      .button.is-black.is-inverted.is-outlined:hover, .button.is-black.is-inverted.is-outlined.is-hovered, .button.is-black.is-inverted.is-outlined:focus, .button.is-black.is-inverted.is-outlined.is-focused {
+        background-color: white;
+        color: #0a0a0a; }
+      .button.is-black.is-inverted.is-outlined.is-loading:hover::after, .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-black.is-inverted.is-outlined.is-loading:focus::after, .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      .button.is-black.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-black.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        box-shadow: none;
+        color: white; }
+  .button.is-light {
+    background-color: whitesmoke;
+    border-color: transparent;
+    color: #363636; }
+    .button.is-light:hover, .button.is-light.is-hovered {
+      background-color: #eeeeee;
+      border-color: transparent;
+      color: #363636; }
+    .button.is-light:focus, .button.is-light.is-focused {
+      border-color: transparent;
+      color: #363636; }
+      .button.is-light:focus:not(:active), .button.is-light.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); }
+    .button.is-light:active, .button.is-light.is-active {
+      background-color: #e8e8e8;
+      border-color: transparent;
+      color: #363636; }
+    .button.is-light[disabled], fieldset[disabled] .button.is-light {
+      background-color: whitesmoke;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-light.is-inverted {
+      background-color: #363636;
+      color: whitesmoke; }
+      .button.is-light.is-inverted:hover, .button.is-light.is-inverted.is-hovered {
+        background-color: #292929; }
+      .button.is-light.is-inverted[disabled], fieldset[disabled] .button.is-light.is-inverted {
+        background-color: #363636;
+        border-color: transparent;
+        box-shadow: none;
+        color: whitesmoke; }
+    .button.is-light.is-loading::after {
+      border-color: transparent transparent #363636 #363636 !important; }
+    .button.is-light.is-outlined {
+      background-color: transparent;
+      border-color: whitesmoke;
+      color: whitesmoke; }
+      .button.is-light.is-outlined:hover, .button.is-light.is-outlined.is-hovered, .button.is-light.is-outlined:focus, .button.is-light.is-outlined.is-focused {
+        background-color: whitesmoke;
+        border-color: whitesmoke;
+        color: #363636; }
+      .button.is-light.is-outlined.is-loading::after {
+        border-color: transparent transparent whitesmoke whitesmoke !important; }
+      .button.is-light.is-outlined.is-loading:hover::after, .button.is-light.is-outlined.is-loading.is-hovered::after, .button.is-light.is-outlined.is-loading:focus::after, .button.is-light.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #363636 #363636 !important; }
+      .button.is-light.is-outlined[disabled], fieldset[disabled] .button.is-light.is-outlined {
+        background-color: transparent;
+        border-color: whitesmoke;
+        box-shadow: none;
+        color: whitesmoke; }
+    .button.is-light.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #363636;
+      color: #363636; }
+      .button.is-light.is-inverted.is-outlined:hover, .button.is-light.is-inverted.is-outlined.is-hovered, .button.is-light.is-inverted.is-outlined:focus, .button.is-light.is-inverted.is-outlined.is-focused {
+        background-color: #363636;
+        color: whitesmoke; }
+      .button.is-light.is-inverted.is-outlined.is-loading:hover::after, .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-light.is-inverted.is-outlined.is-loading:focus::after, .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent whitesmoke whitesmoke !important; }
+      .button.is-light.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-light.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #363636;
+        box-shadow: none;
+        color: #363636; }
+  .button.is-dark, .content kbd.button {
+    background-color: #363636;
+    border-color: transparent;
+    color: whitesmoke; }
+    .button.is-dark:hover, .content kbd.button:hover, .button.is-dark.is-hovered, .content kbd.button.is-hovered {
+      background-color: #2f2f2f;
+      border-color: transparent;
+      color: whitesmoke; }
+    .button.is-dark:focus, .content kbd.button:focus, .button.is-dark.is-focused, .content kbd.button.is-focused {
+      border-color: transparent;
+      color: whitesmoke; }
+      .button.is-dark:focus:not(:active), .content kbd.button:focus:not(:active), .button.is-dark.is-focused:not(:active), .content kbd.button.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); }
+    .button.is-dark:active, .content kbd.button:active, .button.is-dark.is-active, .content kbd.button.is-active {
+      background-color: #292929;
+      border-color: transparent;
+      color: whitesmoke; }
+    .button.is-dark[disabled], .content kbd.button[disabled], fieldset[disabled] .button.is-dark, fieldset[disabled] .content kbd.button, .content fieldset[disabled] kbd.button {
+      background-color: #363636;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-dark.is-inverted, .content kbd.button.is-inverted {
+      background-color: whitesmoke;
+      color: #363636; }
+      .button.is-dark.is-inverted:hover, .content kbd.button.is-inverted:hover, .button.is-dark.is-inverted.is-hovered, .content kbd.button.is-inverted.is-hovered {
+        background-color: #e8e8e8; }
+      .button.is-dark.is-inverted[disabled], .content kbd.button.is-inverted[disabled], fieldset[disabled] .button.is-dark.is-inverted, fieldset[disabled] .content kbd.button.is-inverted, .content fieldset[disabled] kbd.button.is-inverted {
+        background-color: whitesmoke;
+        border-color: transparent;
+        box-shadow: none;
+        color: #363636; }
+    .button.is-dark.is-loading::after, .content kbd.button.is-loading::after {
+      border-color: transparent transparent whitesmoke whitesmoke !important; }
+    .button.is-dark.is-outlined, .content kbd.button.is-outlined {
+      background-color: transparent;
+      border-color: #363636;
+      color: #363636; }
+      .button.is-dark.is-outlined:hover, .content kbd.button.is-outlined:hover, .button.is-dark.is-outlined.is-hovered, .content kbd.button.is-outlined.is-hovered, .button.is-dark.is-outlined:focus, .content kbd.button.is-outlined:focus, .button.is-dark.is-outlined.is-focused, .content kbd.button.is-outlined.is-focused {
+        background-color: #363636;
+        border-color: #363636;
+        color: whitesmoke; }
+      .button.is-dark.is-outlined.is-loading::after, .content kbd.button.is-outlined.is-loading::after {
+        border-color: transparent transparent #363636 #363636 !important; }
+      .button.is-dark.is-outlined.is-loading:hover::after, .content kbd.button.is-outlined.is-loading:hover::after, .button.is-dark.is-outlined.is-loading.is-hovered::after, .content kbd.button.is-outlined.is-loading.is-hovered::after, .button.is-dark.is-outlined.is-loading:focus::after, .content kbd.button.is-outlined.is-loading:focus::after, .button.is-dark.is-outlined.is-loading.is-focused::after, .content kbd.button.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent whitesmoke whitesmoke !important; }
+      .button.is-dark.is-outlined[disabled], .content kbd.button.is-outlined[disabled], fieldset[disabled] .button.is-dark.is-outlined, fieldset[disabled] .content kbd.button.is-outlined, .content fieldset[disabled] kbd.button.is-outlined {
+        background-color: transparent;
+        border-color: #363636;
+        box-shadow: none;
+        color: #363636; }
+    .button.is-dark.is-inverted.is-outlined, .content kbd.button.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: whitesmoke;
+      color: whitesmoke; }
+      .button.is-dark.is-inverted.is-outlined:hover, .content kbd.button.is-inverted.is-outlined:hover, .button.is-dark.is-inverted.is-outlined.is-hovered, .content kbd.button.is-inverted.is-outlined.is-hovered, .button.is-dark.is-inverted.is-outlined:focus, .content kbd.button.is-inverted.is-outlined:focus, .button.is-dark.is-inverted.is-outlined.is-focused, .content kbd.button.is-inverted.is-outlined.is-focused {
+        background-color: whitesmoke;
+        color: #363636; }
+      .button.is-dark.is-inverted.is-outlined.is-loading:hover::after, .content kbd.button.is-inverted.is-outlined.is-loading:hover::after, .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after, .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-dark.is-inverted.is-outlined.is-loading:focus::after, .content kbd.button.is-inverted.is-outlined.is-loading:focus::after, .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after, .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #363636 #363636 !important; }
+      .button.is-dark.is-inverted.is-outlined[disabled], .content kbd.button.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-dark.is-inverted.is-outlined, fieldset[disabled] .content kbd.button.is-inverted.is-outlined, .content fieldset[disabled] kbd.button.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: whitesmoke;
+        box-shadow: none;
+        color: whitesmoke; }
+  .button.is-primary, .docstring > section > a.button.docs-sourcelink {
+    background-color: #4eb5de;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-primary:hover, .docstring > section > a.button.docs-sourcelink:hover, .button.is-primary.is-hovered, .docstring > section > a.button.is-hovered.docs-sourcelink {
+      background-color: #43b1dc;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-primary:focus, .docstring > section > a.button.docs-sourcelink:focus, .button.is-primary.is-focused, .docstring > section > a.button.is-focused.docs-sourcelink {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-primary:focus:not(:active), .docstring > section > a.button.docs-sourcelink:focus:not(:active), .button.is-primary.is-focused:not(:active), .docstring > section > a.button.is-focused.docs-sourcelink:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); }
+    .button.is-primary:active, .docstring > section > a.button.docs-sourcelink:active, .button.is-primary.is-active, .docstring > section > a.button.is-active.docs-sourcelink {
+      background-color: #39acda;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-primary[disabled], .docstring > section > a.button.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary, fieldset[disabled] .docstring > section > a.button.docs-sourcelink {
+      background-color: #4eb5de;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-primary.is-inverted, .docstring > section > a.button.is-inverted.docs-sourcelink {
+      background-color: #fff;
+      color: #4eb5de; }
+      .button.is-primary.is-inverted:hover, .docstring > section > a.button.is-inverted.docs-sourcelink:hover, .button.is-primary.is-inverted.is-hovered, .docstring > section > a.button.is-inverted.is-hovered.docs-sourcelink {
+        background-color: #f2f2f2; }
+      .button.is-primary.is-inverted[disabled], .docstring > section > a.button.is-inverted.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-inverted, fieldset[disabled] .docstring > section > a.button.is-inverted.docs-sourcelink {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #4eb5de; }
+    .button.is-primary.is-loading::after, .docstring > section > a.button.is-loading.docs-sourcelink::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-primary.is-outlined, .docstring > section > a.button.is-outlined.docs-sourcelink {
+      background-color: transparent;
+      border-color: #4eb5de;
+      color: #4eb5de; }
+      .button.is-primary.is-outlined:hover, .docstring > section > a.button.is-outlined.docs-sourcelink:hover, .button.is-primary.is-outlined.is-hovered, .docstring > section > a.button.is-outlined.is-hovered.docs-sourcelink, .button.is-primary.is-outlined:focus, .docstring > section > a.button.is-outlined.docs-sourcelink:focus, .button.is-primary.is-outlined.is-focused, .docstring > section > a.button.is-outlined.is-focused.docs-sourcelink {
+        background-color: #4eb5de;
+        border-color: #4eb5de;
+        color: #fff; }
+      .button.is-primary.is-outlined.is-loading::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink::after {
+        border-color: transparent transparent #4eb5de #4eb5de !important; }
+      .button.is-primary.is-outlined.is-loading:hover::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:hover::after, .button.is-primary.is-outlined.is-loading.is-hovered::after, .docstring > section > a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after, .button.is-primary.is-outlined.is-loading:focus::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:focus::after, .button.is-primary.is-outlined.is-loading.is-focused::after, .docstring > section > a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-primary.is-outlined[disabled], .docstring > section > a.button.is-outlined.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-outlined, fieldset[disabled] .docstring > section > a.button.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #4eb5de;
+        box-shadow: none;
+        color: #4eb5de; }
+    .button.is-primary.is-inverted.is-outlined, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-primary.is-inverted.is-outlined:hover, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:hover, .button.is-primary.is-inverted.is-outlined.is-hovered, .docstring > section > a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink, .button.is-primary.is-inverted.is-outlined:focus, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:focus, .button.is-primary.is-inverted.is-outlined.is-focused, .docstring > section > a.button.is-inverted.is-outlined.is-focused.docs-sourcelink {
+        background-color: #fff;
+        color: #4eb5de; }
+      .button.is-primary.is-inverted.is-outlined.is-loading:hover::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after, .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after, .button.is-primary.is-inverted.is-outlined.is-loading:focus::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after, .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+        border-color: transparent transparent #4eb5de #4eb5de !important; }
+      .button.is-primary.is-inverted.is-outlined[disabled], .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-inverted.is-outlined, fieldset[disabled] .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-link {
+    background-color: #2e63b8;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-link:hover, .button.is-link.is-hovered {
+      background-color: #2b5eae;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-link:focus, .button.is-link.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-link:focus:not(:active), .button.is-link.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+    .button.is-link:active, .button.is-link.is-active {
+      background-color: #2958a4;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-link[disabled], fieldset[disabled] .button.is-link {
+      background-color: #2e63b8;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-link.is-inverted {
+      background-color: #fff;
+      color: #2e63b8; }
+      .button.is-link.is-inverted:hover, .button.is-link.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-link.is-inverted[disabled], fieldset[disabled] .button.is-link.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #2e63b8; }
+    .button.is-link.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-link.is-outlined {
+      background-color: transparent;
+      border-color: #2e63b8;
+      color: #2e63b8; }
+      .button.is-link.is-outlined:hover, .button.is-link.is-outlined.is-hovered, .button.is-link.is-outlined:focus, .button.is-link.is-outlined.is-focused {
+        background-color: #2e63b8;
+        border-color: #2e63b8;
+        color: #fff; }
+      .button.is-link.is-outlined.is-loading::after {
+        border-color: transparent transparent #2e63b8 #2e63b8 !important; }
+      .button.is-link.is-outlined.is-loading:hover::after, .button.is-link.is-outlined.is-loading.is-hovered::after, .button.is-link.is-outlined.is-loading:focus::after, .button.is-link.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-link.is-outlined[disabled], fieldset[disabled] .button.is-link.is-outlined {
+        background-color: transparent;
+        border-color: #2e63b8;
+        box-shadow: none;
+        color: #2e63b8; }
+    .button.is-link.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-link.is-inverted.is-outlined:hover, .button.is-link.is-inverted.is-outlined.is-hovered, .button.is-link.is-inverted.is-outlined:focus, .button.is-link.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #2e63b8; }
+      .button.is-link.is-inverted.is-outlined.is-loading:hover::after, .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-link.is-inverted.is-outlined.is-loading:focus::after, .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #2e63b8 #2e63b8 !important; }
+      .button.is-link.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-link.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-info {
+    background-color: #209cee;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-info:hover, .button.is-info.is-hovered {
+      background-color: #1497ed;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-info:focus, .button.is-info.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-info:focus:not(:active), .button.is-info.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); }
+    .button.is-info:active, .button.is-info.is-active {
+      background-color: #1190e3;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-info[disabled], fieldset[disabled] .button.is-info {
+      background-color: #209cee;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-info.is-inverted {
+      background-color: #fff;
+      color: #209cee; }
+      .button.is-info.is-inverted:hover, .button.is-info.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-info.is-inverted[disabled], fieldset[disabled] .button.is-info.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #209cee; }
+    .button.is-info.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-info.is-outlined {
+      background-color: transparent;
+      border-color: #209cee;
+      color: #209cee; }
+      .button.is-info.is-outlined:hover, .button.is-info.is-outlined.is-hovered, .button.is-info.is-outlined:focus, .button.is-info.is-outlined.is-focused {
+        background-color: #209cee;
+        border-color: #209cee;
+        color: #fff; }
+      .button.is-info.is-outlined.is-loading::after {
+        border-color: transparent transparent #209cee #209cee !important; }
+      .button.is-info.is-outlined.is-loading:hover::after, .button.is-info.is-outlined.is-loading.is-hovered::after, .button.is-info.is-outlined.is-loading:focus::after, .button.is-info.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-info.is-outlined[disabled], fieldset[disabled] .button.is-info.is-outlined {
+        background-color: transparent;
+        border-color: #209cee;
+        box-shadow: none;
+        color: #209cee; }
+    .button.is-info.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-info.is-inverted.is-outlined:hover, .button.is-info.is-inverted.is-outlined.is-hovered, .button.is-info.is-inverted.is-outlined:focus, .button.is-info.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #209cee; }
+      .button.is-info.is-inverted.is-outlined.is-loading:hover::after, .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-info.is-inverted.is-outlined.is-loading:focus::after, .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #209cee #209cee !important; }
+      .button.is-info.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-info.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-success {
+    background-color: #22c35b;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-success:hover, .button.is-success.is-hovered {
+      background-color: #20b856;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-success:focus, .button.is-success.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-success:focus:not(:active), .button.is-success.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); }
+    .button.is-success:active, .button.is-success.is-active {
+      background-color: #1ead51;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-success[disabled], fieldset[disabled] .button.is-success {
+      background-color: #22c35b;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-success.is-inverted {
+      background-color: #fff;
+      color: #22c35b; }
+      .button.is-success.is-inverted:hover, .button.is-success.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-success.is-inverted[disabled], fieldset[disabled] .button.is-success.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #22c35b; }
+    .button.is-success.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-success.is-outlined {
+      background-color: transparent;
+      border-color: #22c35b;
+      color: #22c35b; }
+      .button.is-success.is-outlined:hover, .button.is-success.is-outlined.is-hovered, .button.is-success.is-outlined:focus, .button.is-success.is-outlined.is-focused {
+        background-color: #22c35b;
+        border-color: #22c35b;
+        color: #fff; }
+      .button.is-success.is-outlined.is-loading::after {
+        border-color: transparent transparent #22c35b #22c35b !important; }
+      .button.is-success.is-outlined.is-loading:hover::after, .button.is-success.is-outlined.is-loading.is-hovered::after, .button.is-success.is-outlined.is-loading:focus::after, .button.is-success.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-success.is-outlined[disabled], fieldset[disabled] .button.is-success.is-outlined {
+        background-color: transparent;
+        border-color: #22c35b;
+        box-shadow: none;
+        color: #22c35b; }
+    .button.is-success.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-success.is-inverted.is-outlined:hover, .button.is-success.is-inverted.is-outlined.is-hovered, .button.is-success.is-inverted.is-outlined:focus, .button.is-success.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #22c35b; }
+      .button.is-success.is-inverted.is-outlined.is-loading:hover::after, .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-success.is-inverted.is-outlined.is-loading:focus::after, .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #22c35b #22c35b !important; }
+      .button.is-success.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-success.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-warning {
+    background-color: #ffdd57;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+    .button.is-warning:hover, .button.is-warning.is-hovered {
+      background-color: #ffda4a;
+      border-color: transparent;
+      color: rgba(0, 0, 0, 0.7); }
+    .button.is-warning:focus, .button.is-warning.is-focused {
+      border-color: transparent;
+      color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning:focus:not(:active), .button.is-warning.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); }
+    .button.is-warning:active, .button.is-warning.is-active {
+      background-color: #ffd83e;
+      border-color: transparent;
+      color: rgba(0, 0, 0, 0.7); }
+    .button.is-warning[disabled], fieldset[disabled] .button.is-warning {
+      background-color: #ffdd57;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-warning.is-inverted {
+      background-color: rgba(0, 0, 0, 0.7);
+      color: #ffdd57; }
+      .button.is-warning.is-inverted:hover, .button.is-warning.is-inverted.is-hovered {
+        background-color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning.is-inverted[disabled], fieldset[disabled] .button.is-warning.is-inverted {
+        background-color: rgba(0, 0, 0, 0.7);
+        border-color: transparent;
+        box-shadow: none;
+        color: #ffdd57; }
+    .button.is-warning.is-loading::after {
+      border-color: transparent transparent rgba(0, 0, 0, 0.7) rgba(0, 0, 0, 0.7) !important; }
+    .button.is-warning.is-outlined {
+      background-color: transparent;
+      border-color: #ffdd57;
+      color: #ffdd57; }
+      .button.is-warning.is-outlined:hover, .button.is-warning.is-outlined.is-hovered, .button.is-warning.is-outlined:focus, .button.is-warning.is-outlined.is-focused {
+        background-color: #ffdd57;
+        border-color: #ffdd57;
+        color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning.is-outlined.is-loading::after {
+        border-color: transparent transparent #ffdd57 #ffdd57 !important; }
+      .button.is-warning.is-outlined.is-loading:hover::after, .button.is-warning.is-outlined.is-loading.is-hovered::after, .button.is-warning.is-outlined.is-loading:focus::after, .button.is-warning.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent rgba(0, 0, 0, 0.7) rgba(0, 0, 0, 0.7) !important; }
+      .button.is-warning.is-outlined[disabled], fieldset[disabled] .button.is-warning.is-outlined {
+        background-color: transparent;
+        border-color: #ffdd57;
+        box-shadow: none;
+        color: #ffdd57; }
+    .button.is-warning.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: rgba(0, 0, 0, 0.7);
+      color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning.is-inverted.is-outlined:hover, .button.is-warning.is-inverted.is-outlined.is-hovered, .button.is-warning.is-inverted.is-outlined:focus, .button.is-warning.is-inverted.is-outlined.is-focused {
+        background-color: rgba(0, 0, 0, 0.7);
+        color: #ffdd57; }
+      .button.is-warning.is-inverted.is-outlined.is-loading:hover::after, .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-warning.is-inverted.is-outlined.is-loading:focus::after, .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #ffdd57 #ffdd57 !important; }
+      .button.is-warning.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-warning.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: rgba(0, 0, 0, 0.7);
+        box-shadow: none;
+        color: rgba(0, 0, 0, 0.7); }
+  .button.is-danger {
+    background-color: #da0b00;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-danger:hover, .button.is-danger.is-hovered {
+      background-color: #cd0a00;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-danger:focus, .button.is-danger.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-danger:focus:not(:active), .button.is-danger.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); }
+    .button.is-danger:active, .button.is-danger.is-active {
+      background-color: #c10a00;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-danger[disabled], fieldset[disabled] .button.is-danger {
+      background-color: #da0b00;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-danger.is-inverted {
+      background-color: #fff;
+      color: #da0b00; }
+      .button.is-danger.is-inverted:hover, .button.is-danger.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-danger.is-inverted[disabled], fieldset[disabled] .button.is-danger.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #da0b00; }
+    .button.is-danger.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-danger.is-outlined {
+      background-color: transparent;
+      border-color: #da0b00;
+      color: #da0b00; }
+      .button.is-danger.is-outlined:hover, .button.is-danger.is-outlined.is-hovered, .button.is-danger.is-outlined:focus, .button.is-danger.is-outlined.is-focused {
+        background-color: #da0b00;
+        border-color: #da0b00;
+        color: #fff; }
+      .button.is-danger.is-outlined.is-loading::after {
+        border-color: transparent transparent #da0b00 #da0b00 !important; }
+      .button.is-danger.is-outlined.is-loading:hover::after, .button.is-danger.is-outlined.is-loading.is-hovered::after, .button.is-danger.is-outlined.is-loading:focus::after, .button.is-danger.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-danger.is-outlined[disabled], fieldset[disabled] .button.is-danger.is-outlined {
+        background-color: transparent;
+        border-color: #da0b00;
+        box-shadow: none;
+        color: #da0b00; }
+    .button.is-danger.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-danger.is-inverted.is-outlined:hover, .button.is-danger.is-inverted.is-outlined.is-hovered, .button.is-danger.is-inverted.is-outlined:focus, .button.is-danger.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #da0b00; }
+      .button.is-danger.is-inverted.is-outlined.is-loading:hover::after, .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-danger.is-inverted.is-outlined.is-loading:focus::after, .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #da0b00 #da0b00 !important; }
+      .button.is-danger.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-danger.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-small, #documenter .docs-sidebar form.docs-search > input.button {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .button.is-normal {
+    font-size: 1rem; }
+  .button.is-medium {
+    font-size: 1.25rem; }
+  .button.is-large {
+    font-size: 1.5rem; }
+  .button[disabled], fieldset[disabled] .button {
+    background-color: white;
+    border-color: #dbdbdb;
+    box-shadow: none;
+    opacity: 0.5; }
+  .button.is-fullwidth {
+    display: flex;
+    width: 100%; }
+  .button.is-loading {
+    color: transparent !important;
+    pointer-events: none; }
+    .button.is-loading::after {
+      position: absolute;
+      left: calc(50% - (1em / 2));
+      top: calc(50% - (1em / 2));
+      position: absolute !important; }
+  .button.is-static {
+    background-color: whitesmoke;
+    border-color: #dbdbdb;
+    color: #6b6b6b;
+    box-shadow: none;
+    pointer-events: none; }
+  .button.is-rounded, #documenter .docs-sidebar form.docs-search > input.button {
+    border-radius: 290486px;
+    padding-left: 1em;
+    padding-right: 1em; }
+
+.buttons {
+  align-items: center;
+  display: flex;
+  flex-wrap: wrap;
+  justify-content: flex-start; }
+  .buttons .button {
+    margin-bottom: 0.5rem; }
+    .buttons .button:not(:last-child):not(.is-fullwidth) {
+      margin-right: 0.5rem; }
+  .buttons:last-child {
+    margin-bottom: -0.5rem; }
+  .buttons:not(:last-child) {
+    margin-bottom: 1rem; }
+  .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large) {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large) {
+    font-size: 1.25rem; }
+  .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium) {
+    font-size: 1.5rem; }
+  .buttons.has-addons .button:not(:first-child) {
+    border-bottom-left-radius: 0;
+    border-top-left-radius: 0; }
+  .buttons.has-addons .button:not(:last-child) {
+    border-bottom-right-radius: 0;
+    border-top-right-radius: 0;
+    margin-right: -1px; }
+  .buttons.has-addons .button:last-child {
+    margin-right: 0; }
+  .buttons.has-addons .button:hover, .buttons.has-addons .button.is-hovered {
+    z-index: 2; }
+  .buttons.has-addons .button:focus, .buttons.has-addons .button.is-focused, .buttons.has-addons .button:active, .buttons.has-addons .button.is-active, .buttons.has-addons .button.is-selected {
+    z-index: 3; }
+    .buttons.has-addons .button:focus:hover, .buttons.has-addons .button.is-focused:hover, .buttons.has-addons .button:active:hover, .buttons.has-addons .button.is-active:hover, .buttons.has-addons .button.is-selected:hover {
+      z-index: 4; }
+  .buttons.has-addons .button.is-expanded {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .buttons.is-centered {
+    justify-content: center; }
+    .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth) {
+      margin-left: 0.25rem;
+      margin-right: 0.25rem; }
+  .buttons.is-right {
+    justify-content: flex-end; }
+    .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth) {
+      margin-left: 0.25rem;
+      margin-right: 0.25rem; }
+
+.container {
+  flex-grow: 1;
+  margin: 0 auto;
+  position: relative;
+  width: auto; }
+  @media screen and (min-width: 1056px) {
+    .container {
+      max-width: 992px; }
+      .container.is-fluid {
+        margin-left: 32px;
+        margin-right: 32px;
+        max-width: none; } }
+  @media screen and (max-width: 1215px) {
+    .container.is-widescreen {
+      max-width: 1152px; } }
+  @media screen and (max-width: 1407px) {
+    .container.is-fullhd {
+      max-width: 1344px; } }
+  @media screen and (min-width: 1216px) {
+    .container {
+      max-width: 1152px; } }
+  @media screen and (min-width: 1408px) {
+    .container {
+      max-width: 1344px; } }
+.content li + li {
+  margin-top: 0.25em; }
+
+.content p:not(:last-child),
+.content dl:not(:last-child),
+.content ol:not(:last-child),
+.content ul:not(:last-child),
+.content blockquote:not(:last-child),
+.content pre:not(:last-child),
+.content table:not(:last-child) {
+  margin-bottom: 1em; }
+
+.content h1,
+.content h2,
+.content h3,
+.content h4,
+.content h5,
+.content h6 {
+  color: #222222;
+  font-weight: 600;
+  line-height: 1.125; }
+
+.content h1 {
+  font-size: 2em;
+  margin-bottom: 0.5em; }
+  .content h1:not(:first-child) {
+    margin-top: 1em; }
+
+.content h2 {
+  font-size: 1.75em;
+  margin-bottom: 0.5714em; }
+  .content h2:not(:first-child) {
+    margin-top: 1.1428em; }
+
+.content h3 {
+  font-size: 1.5em;
+  margin-bottom: 0.6666em; }
+  .content h3:not(:first-child) {
+    margin-top: 1.3333em; }
+
+.content h4 {
+  font-size: 1.25em;
+  margin-bottom: 0.8em; }
+
+.content h5 {
+  font-size: 1.125em;
+  margin-bottom: 0.8888em; }
+
+.content h6 {
+  font-size: 1em;
+  margin-bottom: 1em; }
+
+.content blockquote {
+  background-color: whitesmoke;
+  border-left: 5px solid #dbdbdb;
+  padding: 1.25em 1.5em; }
+
+.content ol {
+  list-style-position: outside;
+  margin-left: 2em;
+  margin-top: 1em; }
+  .content ol:not([type]) {
+    list-style-type: decimal; }
+    .content ol.is-lower-alpha:not([type]) {
+      list-style-type: lower-alpha; }
+    .content ol.is-lower-roman:not([type]) {
+      list-style-type: lower-roman; }
+    .content ol.is-upper-alpha:not([type]) {
+      list-style-type: upper-alpha; }
+    .content ol.is-upper-roman:not([type]) {
+      list-style-type: upper-roman; }
+
+.content ul {
+  list-style: disc outside;
+  margin-left: 2em;
+  margin-top: 1em; }
+  .content ul ul {
+    list-style-type: circle;
+    margin-top: 0.5em; }
+    .content ul ul ul {
+      list-style-type: square; }
+
+.content dd {
+  margin-left: 2em; }
+
+.content figure {
+  margin-left: 2em;
+  margin-right: 2em;
+  text-align: center; }
+  .content figure:not(:first-child) {
+    margin-top: 2em; }
+  .content figure:not(:last-child) {
+    margin-bottom: 2em; }
+  .content figure img {
+    display: inline-block; }
+  .content figure figcaption {
+    font-style: italic; }
+
+.content pre {
+  -webkit-overflow-scrolling: touch;
+  overflow-x: auto;
+  padding: 0;
+  white-space: pre;
+  word-wrap: normal; }
+
+.content sup,
+.content sub {
+  font-size: 75%; }
+
+.content table {
+  width: 100%; }
+  .content table td,
+  .content table th {
+    border: 1px solid #dbdbdb;
+    border-width: 0 0 1px;
+    padding: 0.5em 0.75em;
+    vertical-align: top; }
+  .content table th {
+    color: #222222; }
+    .content table th:not([align]) {
+      text-align: left; }
+  .content table thead td,
+  .content table thead th {
+    border-width: 0 0 2px;
+    color: #222222; }
+  .content table tfoot td,
+  .content table tfoot th {
+    border-width: 2px 0 0;
+    color: #222222; }
+  .content table tbody tr:last-child td,
+  .content table tbody tr:last-child th {
+    border-bottom-width: 0; }
+
+.content .tabs li + li {
+  margin-top: 0; }
+
+.content.is-small, #documenter .docs-sidebar form.docs-search > input.content {
+  font-size: 0.75rem; }
+
+.content.is-medium {
+  font-size: 1.25rem; }
+
+.content.is-large {
+  font-size: 1.5rem; }
+
+.icon {
+  align-items: center;
+  display: inline-flex;
+  justify-content: center;
+  height: 1.5rem;
+  width: 1.5rem; }
+  .icon.is-small, #documenter .docs-sidebar form.docs-search > input.icon {
+    height: 1rem;
+    width: 1rem; }
+  .icon.is-medium {
+    height: 2rem;
+    width: 2rem; }
+  .icon.is-large {
+    height: 3rem;
+    width: 3rem; }
+
+.image, #documenter .docs-sidebar .docs-logo > img {
+  display: block;
+  position: relative; }
+  .image img, #documenter .docs-sidebar .docs-logo > img img {
+    display: block;
+    height: auto;
+    width: 100%; }
+    .image img.is-rounded, #documenter .docs-sidebar .docs-logo > img img.is-rounded {
+      border-radius: 290486px; }
+  .image.is-square img, #documenter .docs-sidebar .docs-logo > img.is-square img,
+  .image.is-square .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, .image.is-1by1 img, #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+  .image.is-1by1 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, .image.is-5by4 img, #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+  .image.is-5by4 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, .image.is-4by3 img, #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+  .image.is-4by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, .image.is-3by2 img, #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+  .image.is-3by2 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, .image.is-5by3 img, #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+  .image.is-5by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, .image.is-16by9 img, #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+  .image.is-16by9 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, .image.is-2by1 img, #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+  .image.is-2by1 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, .image.is-3by1 img, #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+  .image.is-3by1 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, .image.is-4by5 img, #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+  .image.is-4by5 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, .image.is-3by4 img, #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+  .image.is-3by4 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, .image.is-2by3 img, #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+  .image.is-2by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, .image.is-3by5 img, #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+  .image.is-3by5 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, .image.is-9by16 img, #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+  .image.is-9by16 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, .image.is-1by2 img, #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+  .image.is-1by2 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, .image.is-1by3 img, #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+  .image.is-1by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio {
+    height: 100%;
+    width: 100%; }
+  .image.is-square, #documenter .docs-sidebar .docs-logo > img.is-square, .image.is-1by1, #documenter .docs-sidebar .docs-logo > img.is-1by1 {
+    padding-top: 100%; }
+  .image.is-5by4, #documenter .docs-sidebar .docs-logo > img.is-5by4 {
+    padding-top: 80%; }
+  .image.is-4by3, #documenter .docs-sidebar .docs-logo > img.is-4by3 {
+    padding-top: 75%; }
+  .image.is-3by2, #documenter .docs-sidebar .docs-logo > img.is-3by2 {
+    padding-top: 66.6666%; }
+  .image.is-5by3, #documenter .docs-sidebar .docs-logo > img.is-5by3 {
+    padding-top: 60%; }
+  .image.is-16by9, #documenter .docs-sidebar .docs-logo > img.is-16by9 {
+    padding-top: 56.25%; }
+  .image.is-2by1, #documenter .docs-sidebar .docs-logo > img.is-2by1 {
+    padding-top: 50%; }
+  .image.is-3by1, #documenter .docs-sidebar .docs-logo > img.is-3by1 {
+    padding-top: 33.3333%; }
+  .image.is-4by5, #documenter .docs-sidebar .docs-logo > img.is-4by5 {
+    padding-top: 125%; }
+  .image.is-3by4, #documenter .docs-sidebar .docs-logo > img.is-3by4 {
+    padding-top: 133.3333%; }
+  .image.is-2by3, #documenter .docs-sidebar .docs-logo > img.is-2by3 {
+    padding-top: 150%; }
+  .image.is-3by5, #documenter .docs-sidebar .docs-logo > img.is-3by5 {
+    padding-top: 166.6666%; }
+  .image.is-9by16, #documenter .docs-sidebar .docs-logo > img.is-9by16 {
+    padding-top: 177.7777%; }
+  .image.is-1by2, #documenter .docs-sidebar .docs-logo > img.is-1by2 {
+    padding-top: 200%; }
+  .image.is-1by3, #documenter .docs-sidebar .docs-logo > img.is-1by3 {
+    padding-top: 300%; }
+  .image.is-16x16, #documenter .docs-sidebar .docs-logo > img.is-16x16 {
+    height: 16px;
+    width: 16px; }
+  .image.is-24x24, #documenter .docs-sidebar .docs-logo > img.is-24x24 {
+    height: 24px;
+    width: 24px; }
+  .image.is-32x32, #documenter .docs-sidebar .docs-logo > img.is-32x32 {
+    height: 32px;
+    width: 32px; }
+  .image.is-48x48, #documenter .docs-sidebar .docs-logo > img.is-48x48 {
+    height: 48px;
+    width: 48px; }
+  .image.is-64x64, #documenter .docs-sidebar .docs-logo > img.is-64x64 {
+    height: 64px;
+    width: 64px; }
+  .image.is-96x96, #documenter .docs-sidebar .docs-logo > img.is-96x96 {
+    height: 96px;
+    width: 96px; }
+  .image.is-128x128, #documenter .docs-sidebar .docs-logo > img.is-128x128 {
+    height: 128px;
+    width: 128px; }
+
+.notification {
+  background-color: whitesmoke;
+  border-radius: 4px;
+  padding: 1.25rem 2.5rem 1.25rem 1.5rem;
+  position: relative; }
+  .notification a:not(.button):not(.dropdown-item) {
+    color: currentColor;
+    text-decoration: underline; }
+  .notification strong {
+    color: currentColor; }
+  .notification code,
+  .notification pre {
+    background: white; }
+  .notification pre code {
+    background: transparent; }
+  .notification > .delete {
+    position: absolute;
+    right: 0.5rem;
+    top: 0.5rem; }
+  .notification .title,
+  .notification .subtitle,
+  .notification .content {
+    color: currentColor; }
+  .notification.is-white {
+    background-color: white;
+    color: #0a0a0a; }
+  .notification.is-black {
+    background-color: #0a0a0a;
+    color: white; }
+  .notification.is-light {
+    background-color: whitesmoke;
+    color: #363636; }
+  .notification.is-dark, .content kbd.notification {
+    background-color: #363636;
+    color: whitesmoke; }
+  .notification.is-primary, .docstring > section > a.notification.docs-sourcelink {
+    background-color: #4eb5de;
+    color: #fff; }
+  .notification.is-link {
+    background-color: #2e63b8;
+    color: #fff; }
+  .notification.is-info {
+    background-color: #209cee;
+    color: #fff; }
+  .notification.is-success {
+    background-color: #22c35b;
+    color: #fff; }
+  .notification.is-warning {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+  .notification.is-danger {
+    background-color: #da0b00;
+    color: #fff; }
+
+.progress {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  border: none;
+  border-radius: 290486px;
+  display: block;
+  height: 1rem;
+  overflow: hidden;
+  padding: 0;
+  width: 100%; }
+  .progress::-webkit-progress-bar {
+    background-color: #dbdbdb; }
+  .progress::-webkit-progress-value {
+    background-color: #222222; }
+  .progress::-moz-progress-bar {
+    background-color: #222222; }
+  .progress::-ms-fill {
+    background-color: #222222;
+    border: none; }
+  .progress.is-white::-webkit-progress-value {
+    background-color: white; }
+  .progress.is-white::-moz-progress-bar {
+    background-color: white; }
+  .progress.is-white::-ms-fill {
+    background-color: white; }
+  .progress.is-white:indeterminate {
+    background-image: linear-gradient(to right, white 30%, #dbdbdb 30%); }
+  .progress.is-black::-webkit-progress-value {
+    background-color: #0a0a0a; }
+  .progress.is-black::-moz-progress-bar {
+    background-color: #0a0a0a; }
+  .progress.is-black::-ms-fill {
+    background-color: #0a0a0a; }
+  .progress.is-black:indeterminate {
+    background-image: linear-gradient(to right, #0a0a0a 30%, #dbdbdb 30%); }
+  .progress.is-light::-webkit-progress-value {
+    background-color: whitesmoke; }
+  .progress.is-light::-moz-progress-bar {
+    background-color: whitesmoke; }
+  .progress.is-light::-ms-fill {
+    background-color: whitesmoke; }
+  .progress.is-light:indeterminate {
+    background-image: linear-gradient(to right, whitesmoke 30%, #dbdbdb 30%); }
+  .progress.is-dark::-webkit-progress-value, .content kbd.progress::-webkit-progress-value {
+    background-color: #363636; }
+  .progress.is-dark::-moz-progress-bar, .content kbd.progress::-moz-progress-bar {
+    background-color: #363636; }
+  .progress.is-dark::-ms-fill, .content kbd.progress::-ms-fill {
+    background-color: #363636; }
+  .progress.is-dark:indeterminate, .content kbd.progress:indeterminate {
+    background-image: linear-gradient(to right, #363636 30%, #dbdbdb 30%); }
+  .progress.is-primary::-webkit-progress-value, .docstring > section > a.progress.docs-sourcelink::-webkit-progress-value {
+    background-color: #4eb5de; }
+  .progress.is-primary::-moz-progress-bar, .docstring > section > a.progress.docs-sourcelink::-moz-progress-bar {
+    background-color: #4eb5de; }
+  .progress.is-primary::-ms-fill, .docstring > section > a.progress.docs-sourcelink::-ms-fill {
+    background-color: #4eb5de; }
+  .progress.is-primary:indeterminate, .docstring > section > a.progress.docs-sourcelink:indeterminate {
+    background-image: linear-gradient(to right, #4eb5de 30%, #dbdbdb 30%); }
+  .progress.is-link::-webkit-progress-value {
+    background-color: #2e63b8; }
+  .progress.is-link::-moz-progress-bar {
+    background-color: #2e63b8; }
+  .progress.is-link::-ms-fill {
+    background-color: #2e63b8; }
+  .progress.is-link:indeterminate {
+    background-image: linear-gradient(to right, #2e63b8 30%, #dbdbdb 30%); }
+  .progress.is-info::-webkit-progress-value {
+    background-color: #209cee; }
+  .progress.is-info::-moz-progress-bar {
+    background-color: #209cee; }
+  .progress.is-info::-ms-fill {
+    background-color: #209cee; }
+  .progress.is-info:indeterminate {
+    background-image: linear-gradient(to right, #209cee 30%, #dbdbdb 30%); }
+  .progress.is-success::-webkit-progress-value {
+    background-color: #22c35b; }
+  .progress.is-success::-moz-progress-bar {
+    background-color: #22c35b; }
+  .progress.is-success::-ms-fill {
+    background-color: #22c35b; }
+  .progress.is-success:indeterminate {
+    background-image: linear-gradient(to right, #22c35b 30%, #dbdbdb 30%); }
+  .progress.is-warning::-webkit-progress-value {
+    background-color: #ffdd57; }
+  .progress.is-warning::-moz-progress-bar {
+    background-color: #ffdd57; }
+  .progress.is-warning::-ms-fill {
+    background-color: #ffdd57; }
+  .progress.is-warning:indeterminate {
+    background-image: linear-gradient(to right, #ffdd57 30%, #dbdbdb 30%); }
+  .progress.is-danger::-webkit-progress-value {
+    background-color: #da0b00; }
+  .progress.is-danger::-moz-progress-bar {
+    background-color: #da0b00; }
+  .progress.is-danger::-ms-fill {
+    background-color: #da0b00; }
+  .progress.is-danger:indeterminate {
+    background-image: linear-gradient(to right, #da0b00 30%, #dbdbdb 30%); }
+  .progress:indeterminate {
+    animation-duration: 1.5s;
+    animation-iteration-count: infinite;
+    animation-name: moveIndeterminate;
+    animation-timing-function: linear;
+    background-color: #dbdbdb;
+    background-image: linear-gradient(to right, #222222 30%, #dbdbdb 30%);
+    background-position: top left;
+    background-repeat: no-repeat;
+    background-size: 150% 150%; }
+    .progress:indeterminate::-webkit-progress-bar {
+      background-color: transparent; }
+    .progress:indeterminate::-moz-progress-bar {
+      background-color: transparent; }
+  .progress.is-small, #documenter .docs-sidebar form.docs-search > input.progress {
+    height: 0.75rem; }
+  .progress.is-medium {
+    height: 1.25rem; }
+  .progress.is-large {
+    height: 1.5rem; }
+
+@keyframes moveIndeterminate {
+  from {
+    background-position: 200% 0; }
+  to {
+    background-position: -200% 0; } }
+
+.table {
+  background-color: white;
+  color: #363636; }
+  .table td,
+  .table th {
+    border: 1px solid #dbdbdb;
+    border-width: 0 0 1px;
+    padding: 0.5em 0.75em;
+    vertical-align: top; }
+    .table td.is-white,
+    .table th.is-white {
+      background-color: white;
+      border-color: white;
+      color: #0a0a0a; }
+    .table td.is-black,
+    .table th.is-black {
+      background-color: #0a0a0a;
+      border-color: #0a0a0a;
+      color: white; }
+    .table td.is-light,
+    .table th.is-light {
+      background-color: whitesmoke;
+      border-color: whitesmoke;
+      color: #363636; }
+    .table td.is-dark,
+    .table th.is-dark {
+      background-color: #363636;
+      border-color: #363636;
+      color: whitesmoke; }
+    .table td.is-primary,
+    .table th.is-primary {
+      background-color: #4eb5de;
+      border-color: #4eb5de;
+      color: #fff; }
+    .table td.is-link,
+    .table th.is-link {
+      background-color: #2e63b8;
+      border-color: #2e63b8;
+      color: #fff; }
+    .table td.is-info,
+    .table th.is-info {
+      background-color: #209cee;
+      border-color: #209cee;
+      color: #fff; }
+    .table td.is-success,
+    .table th.is-success {
+      background-color: #22c35b;
+      border-color: #22c35b;
+      color: #fff; }
+    .table td.is-warning,
+    .table th.is-warning {
+      background-color: #ffdd57;
+      border-color: #ffdd57;
+      color: rgba(0, 0, 0, 0.7); }
+    .table td.is-danger,
+    .table th.is-danger {
+      background-color: #da0b00;
+      border-color: #da0b00;
+      color: #fff; }
+    .table td.is-narrow,
+    .table th.is-narrow {
+      white-space: nowrap;
+      width: 1%; }
+    .table td.is-selected,
+    .table th.is-selected {
+      background-color: #4eb5de;
+      color: #fff; }
+      .table td.is-selected a,
+      .table td.is-selected strong,
+      .table th.is-selected a,
+      .table th.is-selected strong {
+        color: currentColor; }
+  .table th {
+    color: #222222; }
+    .table th:not([align]) {
+      text-align: left; }
+  .table tr.is-selected {
+    background-color: #4eb5de;
+    color: #fff; }
+    .table tr.is-selected a,
+    .table tr.is-selected strong {
+      color: currentColor; }
+    .table tr.is-selected td,
+    .table tr.is-selected th {
+      border-color: #fff;
+      color: currentColor; }
+  .table thead {
+    background-color: transparent; }
+    .table thead td,
+    .table thead th {
+      border-width: 0 0 2px;
+      color: #222222; }
+  .table tfoot {
+    background-color: transparent; }
+    .table tfoot td,
+    .table tfoot th {
+      border-width: 2px 0 0;
+      color: #222222; }
+  .table tbody {
+    background-color: transparent; }
+    .table tbody tr:last-child td,
+    .table tbody tr:last-child th {
+      border-bottom-width: 0; }
+  .table.is-bordered td,
+  .table.is-bordered th {
+    border-width: 1px; }
+  .table.is-bordered tr:last-child td,
+  .table.is-bordered tr:last-child th {
+    border-bottom-width: 1px; }
+  .table.is-fullwidth {
+    width: 100%; }
+  .table.is-hoverable tbody tr:not(.is-selected):hover {
+    background-color: #fafafa; }
+  .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover {
+    background-color: #fafafa; }
+    .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover:nth-child(even) {
+      background-color: whitesmoke; }
+  .table.is-narrow td,
+  .table.is-narrow th {
+    padding: 0.25em 0.5em; }
+  .table.is-striped tbody tr:not(.is-selected):nth-child(even) {
+    background-color: #fafafa; }
+
+.table-container {
+  -webkit-overflow-scrolling: touch;
+  overflow: auto;
+  overflow-y: hidden;
+  max-width: 100%; }
+
+.tags {
+  align-items: center;
+  display: flex;
+  flex-wrap: wrap;
+  justify-content: flex-start; }
+  .tags .tag, .tags .content kbd, .content .tags kbd, .tags .docstring > section > a.docs-sourcelink {
+    margin-bottom: 0.5rem; }
+    .tags .tag:not(:last-child), .tags .content kbd:not(:last-child), .content .tags kbd:not(:last-child), .tags .docstring > section > a.docs-sourcelink:not(:last-child) {
+      margin-right: 0.5rem; }
+  .tags:last-child {
+    margin-bottom: -0.5rem; }
+  .tags:not(:last-child) {
+    margin-bottom: 1rem; }
+  .tags.are-medium .tag:not(.is-normal):not(.is-large), .tags.are-medium .content kbd:not(.is-normal):not(.is-large), .content .tags.are-medium kbd:not(.is-normal):not(.is-large), .tags.are-medium .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-large) {
+    font-size: 1rem; }
+  .tags.are-large .tag:not(.is-normal):not(.is-medium), .tags.are-large .content kbd:not(.is-normal):not(.is-medium), .content .tags.are-large kbd:not(.is-normal):not(.is-medium), .tags.are-large .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-medium) {
+    font-size: 1.25rem; }
+  .tags.is-centered {
+    justify-content: center; }
+    .tags.is-centered .tag, .tags.is-centered .content kbd, .content .tags.is-centered kbd, .tags.is-centered .docstring > section > a.docs-sourcelink {
+      margin-right: 0.25rem;
+      margin-left: 0.25rem; }
+  .tags.is-right {
+    justify-content: flex-end; }
+    .tags.is-right .tag:not(:first-child), .tags.is-right .content kbd:not(:first-child), .content .tags.is-right kbd:not(:first-child), .tags.is-right .docstring > section > a.docs-sourcelink:not(:first-child) {
+      margin-left: 0.5rem; }
+    .tags.is-right .tag:not(:last-child), .tags.is-right .content kbd:not(:last-child), .content .tags.is-right kbd:not(:last-child), .tags.is-right .docstring > section > a.docs-sourcelink:not(:last-child) {
+      margin-right: 0; }
+  .tags.has-addons .tag, .tags.has-addons .content kbd, .content .tags.has-addons kbd, .tags.has-addons .docstring > section > a.docs-sourcelink {
+    margin-right: 0; }
+    .tags.has-addons .tag:not(:first-child), .tags.has-addons .content kbd:not(:first-child), .content .tags.has-addons kbd:not(:first-child), .tags.has-addons .docstring > section > a.docs-sourcelink:not(:first-child) {
+      margin-left: 0;
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    .tags.has-addons .tag:not(:last-child), .tags.has-addons .content kbd:not(:last-child), .content .tags.has-addons kbd:not(:last-child), .tags.has-addons .docstring > section > a.docs-sourcelink:not(:last-child) {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0; }
+
+.tag:not(body), .content kbd:not(body), .docstring > section > a.docs-sourcelink:not(body) {
+  align-items: center;
+  background-color: whitesmoke;
+  border-radius: 4px;
+  color: #222222;
+  display: inline-flex;
+  font-size: 0.75rem;
+  height: 2em;
+  justify-content: center;
+  line-height: 1.5;
+  padding-left: 0.75em;
+  padding-right: 0.75em;
+  white-space: nowrap; }
+  .tag:not(body) .delete, .content kbd:not(body) .delete, .docstring > section > a.docs-sourcelink:not(body) .delete {
+    margin-left: 0.25rem;
+    margin-right: -0.375rem; }
+  .tag.is-white:not(body), .content kbd.is-white:not(body), .docstring > section > a.docs-sourcelink.is-white:not(body) {
+    background-color: white;
+    color: #0a0a0a; }
+  .tag.is-black:not(body), .content kbd.is-black:not(body), .docstring > section > a.docs-sourcelink.is-black:not(body) {
+    background-color: #0a0a0a;
+    color: white; }
+  .tag.is-light:not(body), .content kbd.is-light:not(body), .docstring > section > a.docs-sourcelink.is-light:not(body) {
+    background-color: whitesmoke;
+    color: #363636; }
+  .tag.is-dark:not(body), .content kbd:not(body), .docstring > section > a.docs-sourcelink.is-dark:not(body), .content .docstring > section > kbd:not(body) {
+    background-color: #363636;
+    color: whitesmoke; }
+  .tag.is-primary:not(body), .content kbd.is-primary:not(body), .docstring > section > a.docs-sourcelink:not(body) {
+    background-color: #4eb5de;
+    color: #fff; }
+  .tag.is-link:not(body), .content kbd.is-link:not(body), .docstring > section > a.docs-sourcelink.is-link:not(body) {
+    background-color: #2e63b8;
+    color: #fff; }
+  .tag.is-info:not(body), .content kbd.is-info:not(body), .docstring > section > a.docs-sourcelink.is-info:not(body) {
+    background-color: #209cee;
+    color: #fff; }
+  .tag.is-success:not(body), .content kbd.is-success:not(body), .docstring > section > a.docs-sourcelink.is-success:not(body) {
+    background-color: #22c35b;
+    color: #fff; }
+  .tag.is-warning:not(body), .content kbd.is-warning:not(body), .docstring > section > a.docs-sourcelink.is-warning:not(body) {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+  .tag.is-danger:not(body), .content kbd.is-danger:not(body), .docstring > section > a.docs-sourcelink.is-danger:not(body) {
+    background-color: #da0b00;
+    color: #fff; }
+  .tag.is-normal:not(body), .content kbd.is-normal:not(body), .docstring > section > a.docs-sourcelink.is-normal:not(body) {
+    font-size: 0.75rem; }
+  .tag.is-medium:not(body), .content kbd.is-medium:not(body), .docstring > section > a.docs-sourcelink.is-medium:not(body) {
+    font-size: 1rem; }
+  .tag.is-large:not(body), .content kbd.is-large:not(body), .docstring > section > a.docs-sourcelink.is-large:not(body) {
+    font-size: 1.25rem; }
+  .tag:not(body) .icon:first-child:not(:last-child), .content kbd:not(body) .icon:first-child:not(:last-child), .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:not(:last-child) {
+    margin-left: -0.375em;
+    margin-right: 0.1875em; }
+  .tag:not(body) .icon:last-child:not(:first-child), .content kbd:not(body) .icon:last-child:not(:first-child), .docstring > section > a.docs-sourcelink:not(body) .icon:last-child:not(:first-child) {
+    margin-left: 0.1875em;
+    margin-right: -0.375em; }
+  .tag:not(body) .icon:first-child:last-child, .content kbd:not(body) .icon:first-child:last-child, .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:last-child {
+    margin-left: -0.375em;
+    margin-right: -0.375em; }
+  .tag.is-delete:not(body), .content kbd.is-delete:not(body), .docstring > section > a.docs-sourcelink.is-delete:not(body) {
+    margin-left: 1px;
+    padding: 0;
+    position: relative;
+    width: 2em; }
+    .tag.is-delete:not(body)::before, .content kbd.is-delete:not(body)::before, .docstring > section > a.docs-sourcelink.is-delete:not(body)::before, .tag.is-delete:not(body)::after, .content kbd.is-delete:not(body)::after, .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+      background-color: currentColor;
+      content: "";
+      display: block;
+      left: 50%;
+      position: absolute;
+      top: 50%;
+      transform: translateX(-50%) translateY(-50%) rotate(45deg);
+      transform-origin: center center; }
+    .tag.is-delete:not(body)::before, .content kbd.is-delete:not(body)::before, .docstring > section > a.docs-sourcelink.is-delete:not(body)::before {
+      height: 1px;
+      width: 50%; }
+    .tag.is-delete:not(body)::after, .content kbd.is-delete:not(body)::after, .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+      height: 50%;
+      width: 1px; }
+    .tag.is-delete:not(body):hover, .content kbd.is-delete:not(body):hover, .docstring > section > a.docs-sourcelink.is-delete:not(body):hover, .tag.is-delete:not(body):focus, .content kbd.is-delete:not(body):focus, .docstring > section > a.docs-sourcelink.is-delete:not(body):focus {
+      background-color: #e8e8e8; }
+    .tag.is-delete:not(body):active, .content kbd.is-delete:not(body):active, .docstring > section > a.docs-sourcelink.is-delete:not(body):active {
+      background-color: #dbdbdb; }
+  .tag.is-rounded:not(body), #documenter .docs-sidebar form.docs-search > input:not(body), .content kbd.is-rounded:not(body), #documenter .docs-sidebar .content form.docs-search > input:not(body), .docstring > section > a.docs-sourcelink.is-rounded:not(body) {
+    border-radius: 290486px; }
+
+a.tag:hover, .docstring > section > a.docs-sourcelink:hover {
+  text-decoration: underline; }
+
+.title,
+.subtitle {
+  word-break: break-word; }
+  .title em,
+  .title span,
+  .subtitle em,
+  .subtitle span {
+    font-weight: inherit; }
+  .title sub,
+  .subtitle sub {
+    font-size: 0.75em; }
+  .title sup,
+  .subtitle sup {
+    font-size: 0.75em; }
+  .title .tag, .title .content kbd, .content .title kbd, .title .docstring > section > a.docs-sourcelink,
+  .subtitle .tag,
+  .subtitle .content kbd,
+  .content .subtitle kbd,
+  .subtitle .docstring > section > a.docs-sourcelink {
+    vertical-align: middle; }
+
+.title {
+  color: #363636;
+  font-size: 2rem;
+  font-weight: 600;
+  line-height: 1.125; }
+  .title strong {
+    color: inherit;
+    font-weight: inherit; }
+  .title + .highlight {
+    margin-top: -0.75rem; }
+  .title:not(.is-spaced) + .subtitle {
+    margin-top: -1.25rem; }
+  .title.is-1 {
+    font-size: 3rem; }
+  .title.is-2 {
+    font-size: 2.5rem; }
+  .title.is-3 {
+    font-size: 2rem; }
+  .title.is-4 {
+    font-size: 1.5rem; }
+  .title.is-5 {
+    font-size: 1.25rem; }
+  .title.is-6 {
+    font-size: 1rem; }
+  .title.is-7 {
+    font-size: 0.75rem; }
+
+.subtitle {
+  color: #4a4a4a;
+  font-size: 1.25rem;
+  font-weight: 400;
+  line-height: 1.25; }
+  .subtitle strong {
+    color: #363636;
+    font-weight: 600; }
+  .subtitle:not(.is-spaced) + .title {
+    margin-top: -1.25rem; }
+  .subtitle.is-1 {
+    font-size: 3rem; }
+  .subtitle.is-2 {
+    font-size: 2.5rem; }
+  .subtitle.is-3 {
+    font-size: 2rem; }
+  .subtitle.is-4 {
+    font-size: 1.5rem; }
+  .subtitle.is-5 {
+    font-size: 1.25rem; }
+  .subtitle.is-6 {
+    font-size: 1rem; }
+  .subtitle.is-7 {
+    font-size: 0.75rem; }
+
+.heading {
+  display: block;
+  font-size: 11px;
+  letter-spacing: 1px;
+  margin-bottom: 5px;
+  text-transform: uppercase; }
+
+.highlight {
+  font-weight: 400;
+  max-width: 100%;
+  overflow: hidden;
+  padding: 0; }
+  .highlight pre {
+    overflow: auto;
+    max-width: 100%; }
+
+.number {
+  align-items: center;
+  background-color: whitesmoke;
+  border-radius: 290486px;
+  display: inline-flex;
+  font-size: 1.25rem;
+  height: 2em;
+  justify-content: center;
+  margin-right: 1.5rem;
+  min-width: 2.5em;
+  padding: 0.25rem 0.5rem;
+  text-align: center;
+  vertical-align: top; }
+
+.select select, .textarea, .input, #documenter .docs-sidebar form.docs-search > input {
+  background-color: white;
+  border-color: #dbdbdb;
+  border-radius: 4px;
+  color: #363636; }
+  .select select::-moz-placeholder, .textarea::-moz-placeholder, .input::-moz-placeholder, #documenter .docs-sidebar form.docs-search > input::-moz-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select::-webkit-input-placeholder, .textarea::-webkit-input-placeholder, .input::-webkit-input-placeholder, #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select:-moz-placeholder, .textarea:-moz-placeholder, .input:-moz-placeholder, #documenter .docs-sidebar form.docs-search > input:-moz-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select:-ms-input-placeholder, .textarea:-ms-input-placeholder, .input:-ms-input-placeholder, #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select:hover, .textarea:hover, .input:hover, #documenter .docs-sidebar form.docs-search > input:hover, .select select.is-hovered, .is-hovered.textarea, .is-hovered.input, #documenter .docs-sidebar form.docs-search > input.is-hovered {
+    border-color: #b5b5b5; }
+  .select select:focus, .textarea:focus, .input:focus, #documenter .docs-sidebar form.docs-search > input:focus, .select select.is-focused, .is-focused.textarea, .is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .select select:active, .textarea:active, .input:active, #documenter .docs-sidebar form.docs-search > input:active, .select select.is-active, .is-active.textarea, .is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+    border-color: #2e63b8;
+    box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .select select[disabled], .textarea[disabled], .input[disabled], #documenter .docs-sidebar form.docs-search > input[disabled], fieldset[disabled] .select select, .select fieldset[disabled] select, fieldset[disabled] .textarea, fieldset[disabled] .input, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input {
+    background-color: whitesmoke;
+    border-color: whitesmoke;
+    box-shadow: none;
+    color: #6b6b6b; }
+    .select select[disabled]::-moz-placeholder, .textarea[disabled]::-moz-placeholder, .input[disabled]::-moz-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]::-moz-placeholder, fieldset[disabled] .select select::-moz-placeholder, .select fieldset[disabled] select::-moz-placeholder, fieldset[disabled] .textarea::-moz-placeholder, fieldset[disabled] .input::-moz-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input::-moz-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input::-moz-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+    .select select[disabled]::-webkit-input-placeholder, .textarea[disabled]::-webkit-input-placeholder, .input[disabled]::-webkit-input-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]::-webkit-input-placeholder, fieldset[disabled] .select select::-webkit-input-placeholder, .select fieldset[disabled] select::-webkit-input-placeholder, fieldset[disabled] .textarea::-webkit-input-placeholder, fieldset[disabled] .input::-webkit-input-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input::-webkit-input-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+    .select select[disabled]:-moz-placeholder, .textarea[disabled]:-moz-placeholder, .input[disabled]:-moz-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]:-moz-placeholder, fieldset[disabled] .select select:-moz-placeholder, .select fieldset[disabled] select:-moz-placeholder, fieldset[disabled] .textarea:-moz-placeholder, fieldset[disabled] .input:-moz-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input:-moz-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input:-moz-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+    .select select[disabled]:-ms-input-placeholder, .textarea[disabled]:-ms-input-placeholder, .input[disabled]:-ms-input-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]:-ms-input-placeholder, fieldset[disabled] .select select:-ms-input-placeholder, .select fieldset[disabled] select:-ms-input-placeholder, fieldset[disabled] .textarea:-ms-input-placeholder, fieldset[disabled] .input:-ms-input-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input:-ms-input-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+
+.textarea, .input, #documenter .docs-sidebar form.docs-search > input {
+  box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.1);
+  max-width: 100%;
+  width: 100%; }
+  .textarea[readonly], .input[readonly], #documenter .docs-sidebar form.docs-search > input[readonly] {
+    box-shadow: none; }
+  .is-white.textarea, .is-white.input, #documenter .docs-sidebar form.docs-search > input.is-white {
+    border-color: white; }
+    .is-white.textarea:focus, .is-white.input:focus, #documenter .docs-sidebar form.docs-search > input.is-white:focus, .is-white.is-focused.textarea, .is-white.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-white.textarea:active, .is-white.input:active, #documenter .docs-sidebar form.docs-search > input.is-white:active, .is-white.is-active.textarea, .is-white.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+  .is-black.textarea, .is-black.input, #documenter .docs-sidebar form.docs-search > input.is-black {
+    border-color: #0a0a0a; }
+    .is-black.textarea:focus, .is-black.input:focus, #documenter .docs-sidebar form.docs-search > input.is-black:focus, .is-black.is-focused.textarea, .is-black.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-black.textarea:active, .is-black.input:active, #documenter .docs-sidebar form.docs-search > input.is-black:active, .is-black.is-active.textarea, .is-black.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+  .is-light.textarea, .is-light.input, #documenter .docs-sidebar form.docs-search > input.is-light {
+    border-color: whitesmoke; }
+    .is-light.textarea:focus, .is-light.input:focus, #documenter .docs-sidebar form.docs-search > input.is-light:focus, .is-light.is-focused.textarea, .is-light.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-light.textarea:active, .is-light.input:active, #documenter .docs-sidebar form.docs-search > input.is-light:active, .is-light.is-active.textarea, .is-light.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); }
+  .is-dark.textarea, .content kbd.textarea, .is-dark.input, #documenter .docs-sidebar form.docs-search > input.is-dark, .content kbd.input {
+    border-color: #363636; }
+    .is-dark.textarea:focus, .content kbd.textarea:focus, .is-dark.input:focus, #documenter .docs-sidebar form.docs-search > input.is-dark:focus, .content kbd.input:focus, .is-dark.is-focused.textarea, .content kbd.is-focused.textarea, .is-dark.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .content kbd.is-focused.input, #documenter .docs-sidebar .content form.docs-search > input.is-focused, .is-dark.textarea:active, .content kbd.textarea:active, .is-dark.input:active, #documenter .docs-sidebar form.docs-search > input.is-dark:active, .content kbd.input:active, .is-dark.is-active.textarea, .content kbd.is-active.textarea, .is-dark.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .content kbd.is-active.input, #documenter .docs-sidebar .content form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); }
+  .is-primary.textarea, .docstring > section > a.textarea.docs-sourcelink, .is-primary.input, #documenter .docs-sidebar form.docs-search > input.is-primary, .docstring > section > a.input.docs-sourcelink {
+    border-color: #4eb5de; }
+    .is-primary.textarea:focus, .docstring > section > a.textarea.docs-sourcelink:focus, .is-primary.input:focus, #documenter .docs-sidebar form.docs-search > input.is-primary:focus, .docstring > section > a.input.docs-sourcelink:focus, .is-primary.is-focused.textarea, .docstring > section > a.is-focused.textarea.docs-sourcelink, .is-primary.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .docstring > section > a.is-focused.input.docs-sourcelink, .is-primary.textarea:active, .docstring > section > a.textarea.docs-sourcelink:active, .is-primary.input:active, #documenter .docs-sidebar form.docs-search > input.is-primary:active, .docstring > section > a.input.docs-sourcelink:active, .is-primary.is-active.textarea, .docstring > section > a.is-active.textarea.docs-sourcelink, .is-primary.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .docstring > section > a.is-active.input.docs-sourcelink {
+      box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); }
+  .is-link.textarea, .is-link.input, #documenter .docs-sidebar form.docs-search > input.is-link {
+    border-color: #2e63b8; }
+    .is-link.textarea:focus, .is-link.input:focus, #documenter .docs-sidebar form.docs-search > input.is-link:focus, .is-link.is-focused.textarea, .is-link.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-link.textarea:active, .is-link.input:active, #documenter .docs-sidebar form.docs-search > input.is-link:active, .is-link.is-active.textarea, .is-link.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .is-info.textarea, .is-info.input, #documenter .docs-sidebar form.docs-search > input.is-info {
+    border-color: #209cee; }
+    .is-info.textarea:focus, .is-info.input:focus, #documenter .docs-sidebar form.docs-search > input.is-info:focus, .is-info.is-focused.textarea, .is-info.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-info.textarea:active, .is-info.input:active, #documenter .docs-sidebar form.docs-search > input.is-info:active, .is-info.is-active.textarea, .is-info.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); }
+  .is-success.textarea, .is-success.input, #documenter .docs-sidebar form.docs-search > input.is-success {
+    border-color: #22c35b; }
+    .is-success.textarea:focus, .is-success.input:focus, #documenter .docs-sidebar form.docs-search > input.is-success:focus, .is-success.is-focused.textarea, .is-success.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-success.textarea:active, .is-success.input:active, #documenter .docs-sidebar form.docs-search > input.is-success:active, .is-success.is-active.textarea, .is-success.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); }
+  .is-warning.textarea, .is-warning.input, #documenter .docs-sidebar form.docs-search > input.is-warning {
+    border-color: #ffdd57; }
+    .is-warning.textarea:focus, .is-warning.input:focus, #documenter .docs-sidebar form.docs-search > input.is-warning:focus, .is-warning.is-focused.textarea, .is-warning.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-warning.textarea:active, .is-warning.input:active, #documenter .docs-sidebar form.docs-search > input.is-warning:active, .is-warning.is-active.textarea, .is-warning.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); }
+  .is-danger.textarea, .is-danger.input, #documenter .docs-sidebar form.docs-search > input.is-danger {
+    border-color: #da0b00; }
+    .is-danger.textarea:focus, .is-danger.input:focus, #documenter .docs-sidebar form.docs-search > input.is-danger:focus, .is-danger.is-focused.textarea, .is-danger.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-danger.textarea:active, .is-danger.input:active, #documenter .docs-sidebar form.docs-search > input.is-danger:active, .is-danger.is-active.textarea, .is-danger.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); }
+  .is-small.textarea, .is-small.input, #documenter .docs-sidebar form.docs-search > input {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .is-medium.textarea, .is-medium.input, #documenter .docs-sidebar form.docs-search > input.is-medium {
+    font-size: 1.25rem; }
+  .is-large.textarea, .is-large.input, #documenter .docs-sidebar form.docs-search > input.is-large {
+    font-size: 1.5rem; }
+  .is-fullwidth.textarea, .is-fullwidth.input, #documenter .docs-sidebar form.docs-search > input.is-fullwidth {
+    display: block;
+    width: 100%; }
+  .is-inline.textarea, .is-inline.input, #documenter .docs-sidebar form.docs-search > input.is-inline {
+    display: inline;
+    width: auto; }
+
+.input.is-rounded, #documenter .docs-sidebar form.docs-search > input {
+  border-radius: 290486px;
+  padding-left: 1em;
+  padding-right: 1em; }
+
+.input.is-static, #documenter .docs-sidebar form.docs-search > input.is-static {
+  background-color: transparent;
+  border-color: transparent;
+  box-shadow: none;
+  padding-left: 0;
+  padding-right: 0; }
+
+.textarea {
+  display: block;
+  max-width: 100%;
+  min-width: 100%;
+  padding: 0.625em;
+  resize: vertical; }
+  .textarea:not([rows]) {
+    max-height: 600px;
+    min-height: 120px; }
+  .textarea[rows] {
+    height: initial; }
+  .textarea.has-fixed-size {
+    resize: none; }
+
+.radio, .checkbox {
+  cursor: pointer;
+  display: inline-block;
+  line-height: 1.25;
+  position: relative; }
+  .radio input, .checkbox input {
+    cursor: pointer; }
+  .radio:hover, .checkbox:hover {
+    color: #363636; }
+  .radio[disabled], .checkbox[disabled], fieldset[disabled] .radio, fieldset[disabled] .checkbox {
+    color: #6b6b6b;
+    cursor: not-allowed; }
+
+.radio + .radio {
+  margin-left: 0.5em; }
+
+.select {
+  display: inline-block;
+  max-width: 100%;
+  position: relative;
+  vertical-align: top; }
+  .select:not(.is-multiple) {
+    height: 2.25em; }
+  .select:not(.is-multiple):not(.is-loading)::after {
+    border-color: #2e63b8;
+    right: 1.125em;
+    z-index: 4; }
+  .select.is-rounded select, #documenter .docs-sidebar form.docs-search > input.select select {
+    border-radius: 290486px;
+    padding-left: 1em; }
+  .select select {
+    cursor: pointer;
+    display: block;
+    font-size: 1em;
+    max-width: 100%;
+    outline: none; }
+    .select select::-ms-expand {
+      display: none; }
+    .select select[disabled]:hover, fieldset[disabled] .select select:hover {
+      border-color: whitesmoke; }
+    .select select:not([multiple]) {
+      padding-right: 2.5em; }
+    .select select[multiple] {
+      height: auto;
+      padding: 0; }
+      .select select[multiple] option {
+        padding: 0.5em 1em; }
+  .select:not(.is-multiple):not(.is-loading):hover::after {
+    border-color: #363636; }
+  .select.is-white:not(:hover)::after {
+    border-color: white; }
+  .select.is-white select {
+    border-color: white; }
+    .select.is-white select:hover, .select.is-white select.is-hovered {
+      border-color: #f2f2f2; }
+    .select.is-white select:focus, .select.is-white select.is-focused, .select.is-white select:active, .select.is-white select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+  .select.is-black:not(:hover)::after {
+    border-color: #0a0a0a; }
+  .select.is-black select {
+    border-color: #0a0a0a; }
+    .select.is-black select:hover, .select.is-black select.is-hovered {
+      border-color: black; }
+    .select.is-black select:focus, .select.is-black select.is-focused, .select.is-black select:active, .select.is-black select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+  .select.is-light:not(:hover)::after {
+    border-color: whitesmoke; }
+  .select.is-light select {
+    border-color: whitesmoke; }
+    .select.is-light select:hover, .select.is-light select.is-hovered {
+      border-color: #e8e8e8; }
+    .select.is-light select:focus, .select.is-light select.is-focused, .select.is-light select:active, .select.is-light select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); }
+  .select.is-dark:not(:hover)::after, .content kbd.select:not(:hover)::after {
+    border-color: #363636; }
+  .select.is-dark select, .content kbd.select select {
+    border-color: #363636; }
+    .select.is-dark select:hover, .content kbd.select select:hover, .select.is-dark select.is-hovered, .content kbd.select select.is-hovered {
+      border-color: #292929; }
+    .select.is-dark select:focus, .content kbd.select select:focus, .select.is-dark select.is-focused, .content kbd.select select.is-focused, .select.is-dark select:active, .content kbd.select select:active, .select.is-dark select.is-active, .content kbd.select select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); }
+  .select.is-primary:not(:hover)::after, .docstring > section > a.select.docs-sourcelink:not(:hover)::after {
+    border-color: #4eb5de; }
+  .select.is-primary select, .docstring > section > a.select.docs-sourcelink select {
+    border-color: #4eb5de; }
+    .select.is-primary select:hover, .docstring > section > a.select.docs-sourcelink select:hover, .select.is-primary select.is-hovered, .docstring > section > a.select.docs-sourcelink select.is-hovered {
+      border-color: #39acda; }
+    .select.is-primary select:focus, .docstring > section > a.select.docs-sourcelink select:focus, .select.is-primary select.is-focused, .docstring > section > a.select.docs-sourcelink select.is-focused, .select.is-primary select:active, .docstring > section > a.select.docs-sourcelink select:active, .select.is-primary select.is-active, .docstring > section > a.select.docs-sourcelink select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); }
+  .select.is-link:not(:hover)::after {
+    border-color: #2e63b8; }
+  .select.is-link select {
+    border-color: #2e63b8; }
+    .select.is-link select:hover, .select.is-link select.is-hovered {
+      border-color: #2958a4; }
+    .select.is-link select:focus, .select.is-link select.is-focused, .select.is-link select:active, .select.is-link select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .select.is-info:not(:hover)::after {
+    border-color: #209cee; }
+  .select.is-info select {
+    border-color: #209cee; }
+    .select.is-info select:hover, .select.is-info select.is-hovered {
+      border-color: #1190e3; }
+    .select.is-info select:focus, .select.is-info select.is-focused, .select.is-info select:active, .select.is-info select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); }
+  .select.is-success:not(:hover)::after {
+    border-color: #22c35b; }
+  .select.is-success select {
+    border-color: #22c35b; }
+    .select.is-success select:hover, .select.is-success select.is-hovered {
+      border-color: #1ead51; }
+    .select.is-success select:focus, .select.is-success select.is-focused, .select.is-success select:active, .select.is-success select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); }
+  .select.is-warning:not(:hover)::after {
+    border-color: #ffdd57; }
+  .select.is-warning select {
+    border-color: #ffdd57; }
+    .select.is-warning select:hover, .select.is-warning select.is-hovered {
+      border-color: #ffd83e; }
+    .select.is-warning select:focus, .select.is-warning select.is-focused, .select.is-warning select:active, .select.is-warning select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); }
+  .select.is-danger:not(:hover)::after {
+    border-color: #da0b00; }
+  .select.is-danger select {
+    border-color: #da0b00; }
+    .select.is-danger select:hover, .select.is-danger select.is-hovered {
+      border-color: #c10a00; }
+    .select.is-danger select:focus, .select.is-danger select.is-focused, .select.is-danger select:active, .select.is-danger select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); }
+  .select.is-small, #documenter .docs-sidebar form.docs-search > input.select {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .select.is-medium {
+    font-size: 1.25rem; }
+  .select.is-large {
+    font-size: 1.5rem; }
+  .select.is-disabled::after {
+    border-color: #6b6b6b; }
+  .select.is-fullwidth {
+    width: 100%; }
+    .select.is-fullwidth select {
+      width: 100%; }
+  .select.is-loading::after {
+    margin-top: 0;
+    position: absolute;
+    right: 0.625em;
+    top: 0.625em;
+    transform: none; }
+  .select.is-loading.is-small:after, #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+    font-size: 0.75rem; }
+  .select.is-loading.is-medium:after {
+    font-size: 1.25rem; }
+  .select.is-loading.is-large:after {
+    font-size: 1.5rem; }
+
+.file {
+  align-items: stretch;
+  display: flex;
+  justify-content: flex-start;
+  position: relative; }
+  .file.is-white .file-cta {
+    background-color: white;
+    border-color: transparent;
+    color: #0a0a0a; }
+  .file.is-white:hover .file-cta, .file.is-white.is-hovered .file-cta {
+    background-color: #f9f9f9;
+    border-color: transparent;
+    color: #0a0a0a; }
+  .file.is-white:focus .file-cta, .file.is-white.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(255, 255, 255, 0.25);
+    color: #0a0a0a; }
+  .file.is-white:active .file-cta, .file.is-white.is-active .file-cta {
+    background-color: #f2f2f2;
+    border-color: transparent;
+    color: #0a0a0a; }
+  .file.is-black .file-cta {
+    background-color: #0a0a0a;
+    border-color: transparent;
+    color: white; }
+  .file.is-black:hover .file-cta, .file.is-black.is-hovered .file-cta {
+    background-color: #040404;
+    border-color: transparent;
+    color: white; }
+  .file.is-black:focus .file-cta, .file.is-black.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(10, 10, 10, 0.25);
+    color: white; }
+  .file.is-black:active .file-cta, .file.is-black.is-active .file-cta {
+    background-color: black;
+    border-color: transparent;
+    color: white; }
+  .file.is-light .file-cta {
+    background-color: whitesmoke;
+    border-color: transparent;
+    color: #363636; }
+  .file.is-light:hover .file-cta, .file.is-light.is-hovered .file-cta {
+    background-color: #eeeeee;
+    border-color: transparent;
+    color: #363636; }
+  .file.is-light:focus .file-cta, .file.is-light.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(245, 245, 245, 0.25);
+    color: #363636; }
+  .file.is-light:active .file-cta, .file.is-light.is-active .file-cta {
+    background-color: #e8e8e8;
+    border-color: transparent;
+    color: #363636; }
+  .file.is-dark .file-cta, .content kbd.file .file-cta {
+    background-color: #363636;
+    border-color: transparent;
+    color: whitesmoke; }
+  .file.is-dark:hover .file-cta, .content kbd.file:hover .file-cta, .file.is-dark.is-hovered .file-cta, .content kbd.file.is-hovered .file-cta {
+    background-color: #2f2f2f;
+    border-color: transparent;
+    color: whitesmoke; }
+  .file.is-dark:focus .file-cta, .content kbd.file:focus .file-cta, .file.is-dark.is-focused .file-cta, .content kbd.file.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(54, 54, 54, 0.25);
+    color: whitesmoke; }
+  .file.is-dark:active .file-cta, .content kbd.file:active .file-cta, .file.is-dark.is-active .file-cta, .content kbd.file.is-active .file-cta {
+    background-color: #292929;
+    border-color: transparent;
+    color: whitesmoke; }
+  .file.is-primary .file-cta, .docstring > section > a.file.docs-sourcelink .file-cta {
+    background-color: #4eb5de;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-primary:hover .file-cta, .docstring > section > a.file.docs-sourcelink:hover .file-cta, .file.is-primary.is-hovered .file-cta, .docstring > section > a.file.is-hovered.docs-sourcelink .file-cta {
+    background-color: #43b1dc;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-primary:focus .file-cta, .docstring > section > a.file.docs-sourcelink:focus .file-cta, .file.is-primary.is-focused .file-cta, .docstring > section > a.file.is-focused.docs-sourcelink .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(78, 181, 222, 0.25);
+    color: #fff; }
+  .file.is-primary:active .file-cta, .docstring > section > a.file.docs-sourcelink:active .file-cta, .file.is-primary.is-active .file-cta, .docstring > section > a.file.is-active.docs-sourcelink .file-cta {
+    background-color: #39acda;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-link .file-cta {
+    background-color: #2e63b8;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-link:hover .file-cta, .file.is-link.is-hovered .file-cta {
+    background-color: #2b5eae;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-link:focus .file-cta, .file.is-link.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(46, 99, 184, 0.25);
+    color: #fff; }
+  .file.is-link:active .file-cta, .file.is-link.is-active .file-cta {
+    background-color: #2958a4;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-info .file-cta {
+    background-color: #209cee;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-info:hover .file-cta, .file.is-info.is-hovered .file-cta {
+    background-color: #1497ed;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-info:focus .file-cta, .file.is-info.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(32, 156, 238, 0.25);
+    color: #fff; }
+  .file.is-info:active .file-cta, .file.is-info.is-active .file-cta {
+    background-color: #1190e3;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-success .file-cta {
+    background-color: #22c35b;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-success:hover .file-cta, .file.is-success.is-hovered .file-cta {
+    background-color: #20b856;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-success:focus .file-cta, .file.is-success.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(34, 195, 91, 0.25);
+    color: #fff; }
+  .file.is-success:active .file-cta, .file.is-success.is-active .file-cta {
+    background-color: #1ead51;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-warning .file-cta {
+    background-color: #ffdd57;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-warning:hover .file-cta, .file.is-warning.is-hovered .file-cta {
+    background-color: #ffda4a;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-warning:focus .file-cta, .file.is-warning.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(255, 221, 87, 0.25);
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-warning:active .file-cta, .file.is-warning.is-active .file-cta {
+    background-color: #ffd83e;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-danger .file-cta {
+    background-color: #da0b00;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-danger:hover .file-cta, .file.is-danger.is-hovered .file-cta {
+    background-color: #cd0a00;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-danger:focus .file-cta, .file.is-danger.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(218, 11, 0, 0.25);
+    color: #fff; }
+  .file.is-danger:active .file-cta, .file.is-danger.is-active .file-cta {
+    background-color: #c10a00;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-small, #documenter .docs-sidebar form.docs-search > input.file {
+    font-size: 0.75rem; }
+  .file.is-medium {
+    font-size: 1.25rem; }
+    .file.is-medium .file-icon .fa {
+      font-size: 21px; }
+  .file.is-large {
+    font-size: 1.5rem; }
+    .file.is-large .file-icon .fa {
+      font-size: 28px; }
+  .file.has-name .file-cta {
+    border-bottom-right-radius: 0;
+    border-top-right-radius: 0; }
+  .file.has-name .file-name {
+    border-bottom-left-radius: 0;
+    border-top-left-radius: 0; }
+  .file.has-name.is-empty .file-cta {
+    border-radius: 4px; }
+  .file.has-name.is-empty .file-name {
+    display: none; }
+  .file.is-boxed .file-label {
+    flex-direction: column; }
+  .file.is-boxed .file-cta {
+    flex-direction: column;
+    height: auto;
+    padding: 1em 3em; }
+  .file.is-boxed .file-name {
+    border-width: 0 1px 1px; }
+  .file.is-boxed .file-icon {
+    height: 1.5em;
+    width: 1.5em; }
+    .file.is-boxed .file-icon .fa {
+      font-size: 21px; }
+  .file.is-boxed.is-small .file-icon .fa, #documenter .docs-sidebar form.docs-search > input.is-boxed .file-icon .fa {
+    font-size: 14px; }
+  .file.is-boxed.is-medium .file-icon .fa {
+    font-size: 28px; }
+  .file.is-boxed.is-large .file-icon .fa {
+    font-size: 35px; }
+  .file.is-boxed.has-name .file-cta {
+    border-radius: 4px 4px 0 0; }
+  .file.is-boxed.has-name .file-name {
+    border-radius: 0 0 4px 4px;
+    border-width: 0 1px 1px; }
+  .file.is-centered {
+    justify-content: center; }
+  .file.is-fullwidth .file-label {
+    width: 100%; }
+  .file.is-fullwidth .file-name {
+    flex-grow: 1;
+    max-width: none; }
+  .file.is-right {
+    justify-content: flex-end; }
+    .file.is-right .file-cta {
+      border-radius: 0 4px 4px 0; }
+    .file.is-right .file-name {
+      border-radius: 4px 0 0 4px;
+      border-width: 1px 0 1px 1px;
+      order: -1; }
+
+.file-label {
+  align-items: stretch;
+  display: flex;
+  cursor: pointer;
+  justify-content: flex-start;
+  overflow: hidden;
+  position: relative; }
+  .file-label:hover .file-cta {
+    background-color: #eeeeee;
+    color: #363636; }
+  .file-label:hover .file-name {
+    border-color: #d5d5d5; }
+  .file-label:active .file-cta {
+    background-color: #e8e8e8;
+    color: #363636; }
+  .file-label:active .file-name {
+    border-color: #cfcfcf; }
+
+.file-input {
+  height: 100%;
+  left: 0;
+  opacity: 0;
+  outline: none;
+  position: absolute;
+  top: 0;
+  width: 100%; }
+
+.file-cta,
+.file-name {
+  border-color: #dbdbdb;
+  border-radius: 4px;
+  font-size: 1em;
+  padding-left: 1em;
+  padding-right: 1em;
+  white-space: nowrap; }
+
+.file-cta {
+  background-color: whitesmoke;
+  color: #4a4a4a; }
+
+.file-name {
+  border-color: #dbdbdb;
+  border-style: solid;
+  border-width: 1px 1px 1px 0;
+  display: block;
+  max-width: 16em;
+  overflow: hidden;
+  text-align: left;
+  text-overflow: ellipsis; }
+
+.file-icon {
+  align-items: center;
+  display: flex;
+  height: 1em;
+  justify-content: center;
+  margin-right: 0.5em;
+  width: 1em; }
+  .file-icon .fa {
+    font-size: 14px; }
+
+.label {
+  color: #363636;
+  display: block;
+  font-size: 1rem;
+  font-weight: 700; }
+  .label:not(:last-child) {
+    margin-bottom: 0.5em; }
+  .label.is-small, #documenter .docs-sidebar form.docs-search > input.label {
+    font-size: 0.75rem; }
+  .label.is-medium {
+    font-size: 1.25rem; }
+  .label.is-large {
+    font-size: 1.5rem; }
+
+.help {
+  display: block;
+  font-size: 0.75rem;
+  margin-top: 0.25rem; }
+  .help.is-white {
+    color: white; }
+  .help.is-black {
+    color: #0a0a0a; }
+  .help.is-light {
+    color: whitesmoke; }
+  .help.is-dark, .content kbd.help {
+    color: #363636; }
+  .help.is-primary, .docstring > section > a.help.docs-sourcelink {
+    color: #4eb5de; }
+  .help.is-link {
+    color: #2e63b8; }
+  .help.is-info {
+    color: #209cee; }
+  .help.is-success {
+    color: #22c35b; }
+  .help.is-warning {
+    color: #ffdd57; }
+  .help.is-danger {
+    color: #da0b00; }
+
+.field:not(:last-child) {
+  margin-bottom: 0.75rem; }
+
+.field.has-addons {
+  display: flex;
+  justify-content: flex-start; }
+  .field.has-addons .control:not(:last-child) {
+    margin-right: -1px; }
+  .field.has-addons .control:not(:first-child):not(:last-child) .button,
+  .field.has-addons .control:not(:first-child):not(:last-child) .input,
+  .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search > input,
+  #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search > input,
+  .field.has-addons .control:not(:first-child):not(:last-child) .select select {
+    border-radius: 0; }
+  .field.has-addons .control:first-child:not(:only-child) .button,
+  .field.has-addons .control:first-child:not(:only-child) .input,
+  .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+  #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search > input,
+  .field.has-addons .control:first-child:not(:only-child) .select select {
+    border-bottom-right-radius: 0;
+    border-top-right-radius: 0; }
+  .field.has-addons .control:last-child:not(:only-child) .button,
+  .field.has-addons .control:last-child:not(:only-child) .input,
+  .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+  #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search > input,
+  .field.has-addons .control:last-child:not(:only-child) .select select {
+    border-bottom-left-radius: 0;
+    border-top-left-radius: 0; }
+  .field.has-addons .control .button:not([disabled]):hover, .field.has-addons .control .button.is-hovered:not([disabled]),
+  .field.has-addons .control .input:not([disabled]):hover,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):hover,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):hover,
+  .field.has-addons .control .input.is-hovered:not([disabled]),
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-hovered:not([disabled]),
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-hovered:not([disabled]),
+  .field.has-addons .control .select select:not([disabled]):hover,
+  .field.has-addons .control .select select.is-hovered:not([disabled]) {
+    z-index: 2; }
+  .field.has-addons .control .button:not([disabled]):focus, .field.has-addons .control .button.is-focused:not([disabled]), .field.has-addons .control .button:not([disabled]):active, .field.has-addons .control .button.is-active:not([disabled]),
+  .field.has-addons .control .input:not([disabled]):focus,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus,
+  .field.has-addons .control .input.is-focused:not([disabled]),
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]),
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]),
+  .field.has-addons .control .input:not([disabled]):active,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active,
+  .field.has-addons .control .input.is-active:not([disabled]),
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]),
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]),
+  .field.has-addons .control .select select:not([disabled]):focus,
+  .field.has-addons .control .select select.is-focused:not([disabled]),
+  .field.has-addons .control .select select:not([disabled]):active,
+  .field.has-addons .control .select select.is-active:not([disabled]) {
+    z-index: 3; }
+    .field.has-addons .control .button:not([disabled]):focus:hover, .field.has-addons .control .button.is-focused:not([disabled]):hover, .field.has-addons .control .button:not([disabled]):active:hover, .field.has-addons .control .button.is-active:not([disabled]):hover,
+    .field.has-addons .control .input:not([disabled]):focus:hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus:hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus:hover,
+    .field.has-addons .control .input.is-focused:not([disabled]):hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]):hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]):hover,
+    .field.has-addons .control .input:not([disabled]):active:hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active:hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active:hover,
+    .field.has-addons .control .input.is-active:not([disabled]):hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]):hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]):hover,
+    .field.has-addons .control .select select:not([disabled]):focus:hover,
+    .field.has-addons .control .select select.is-focused:not([disabled]):hover,
+    .field.has-addons .control .select select:not([disabled]):active:hover,
+    .field.has-addons .control .select select.is-active:not([disabled]):hover {
+      z-index: 4; }
+  .field.has-addons .control.is-expanded {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .field.has-addons.has-addons-centered {
+    justify-content: center; }
+  .field.has-addons.has-addons-right {
+    justify-content: flex-end; }
+  .field.has-addons.has-addons-fullwidth .control {
+    flex-grow: 1;
+    flex-shrink: 0; }
+
+.field.is-grouped {
+  display: flex;
+  justify-content: flex-start; }
+  .field.is-grouped > .control {
+    flex-shrink: 0; }
+    .field.is-grouped > .control:not(:last-child) {
+      margin-bottom: 0;
+      margin-right: 0.75rem; }
+    .field.is-grouped > .control.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+  .field.is-grouped.is-grouped-centered {
+    justify-content: center; }
+  .field.is-grouped.is-grouped-right {
+    justify-content: flex-end; }
+  .field.is-grouped.is-grouped-multiline {
+    flex-wrap: wrap; }
+    .field.is-grouped.is-grouped-multiline > .control:last-child, .field.is-grouped.is-grouped-multiline > .control:not(:last-child) {
+      margin-bottom: 0.75rem; }
+    .field.is-grouped.is-grouped-multiline:last-child {
+      margin-bottom: -0.75rem; }
+    .field.is-grouped.is-grouped-multiline:not(:last-child) {
+      margin-bottom: 0; }
+
+@media screen and (min-width: 769px), print {
+  .field.is-horizontal {
+    display: flex; } }
+
+.field-label .label {
+  font-size: inherit; }
+
+@media screen and (max-width: 768px) {
+  .field-label {
+    margin-bottom: 0.5rem; } }
+
+@media screen and (min-width: 769px), print {
+  .field-label {
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 0;
+    margin-right: 1.5rem;
+    text-align: right; }
+    .field-label.is-small, #documenter .docs-sidebar form.docs-search > input.field-label {
+      font-size: 0.75rem;
+      padding-top: 0.375em; }
+    .field-label.is-normal {
+      padding-top: 0.375em; }
+    .field-label.is-medium {
+      font-size: 1.25rem;
+      padding-top: 0.375em; }
+    .field-label.is-large {
+      font-size: 1.5rem;
+      padding-top: 0.375em; } }
+
+.field-body .field .field {
+  margin-bottom: 0; }
+
+@media screen and (min-width: 769px), print {
+  .field-body {
+    display: flex;
+    flex-basis: 0;
+    flex-grow: 5;
+    flex-shrink: 1; }
+    .field-body .field {
+      margin-bottom: 0; }
+    .field-body > .field {
+      flex-shrink: 1; }
+      .field-body > .field:not(.is-narrow) {
+        flex-grow: 1; }
+      .field-body > .field:not(:last-child) {
+        margin-right: 0.75rem; } }
+
+.control {
+  box-sizing: border-box;
+  clear: both;
+  font-size: 1rem;
+  position: relative;
+  text-align: left; }
+  .control.has-icons-left .input:focus ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input:focus ~ .icon,
+  .control.has-icons-left .select:focus ~ .icon, .control.has-icons-right .input:focus ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input:focus ~ .icon,
+  .control.has-icons-right .select:focus ~ .icon {
+    color: #6b6b6b; }
+  .control.has-icons-left .input.is-small ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input ~ .icon,
+  .control.has-icons-left .select.is-small ~ .icon, .control.has-icons-right .input.is-small ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input ~ .icon,
+  .control.has-icons-right .select.is-small ~ .icon {
+    font-size: 0.75rem; }
+  .control.has-icons-left .input.is-medium ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-medium ~ .icon,
+  .control.has-icons-left .select.is-medium ~ .icon, .control.has-icons-right .input.is-medium ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-medium ~ .icon,
+  .control.has-icons-right .select.is-medium ~ .icon {
+    font-size: 1.25rem; }
+  .control.has-icons-left .input.is-large ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-large ~ .icon,
+  .control.has-icons-left .select.is-large ~ .icon, .control.has-icons-right .input.is-large ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-large ~ .icon,
+  .control.has-icons-right .select.is-large ~ .icon {
+    font-size: 1.5rem; }
+  .control.has-icons-left .icon, .control.has-icons-right .icon {
+    color: #dbdbdb;
+    height: 2.25em;
+    pointer-events: none;
+    position: absolute;
+    top: 0;
+    width: 2.25em;
+    z-index: 4; }
+  .control.has-icons-left .input, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input,
+  .control.has-icons-left .select select {
+    padding-left: 2.25em; }
+  .control.has-icons-left .icon.is-left {
+    left: 0; }
+  .control.has-icons-right .input, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input,
+  .control.has-icons-right .select select {
+    padding-right: 2.25em; }
+  .control.has-icons-right .icon.is-right {
+    right: 0; }
+  .control.is-loading::after {
+    position: absolute !important;
+    right: 0.625em;
+    top: 0.625em;
+    z-index: 4; }
+  .control.is-loading.is-small:after, #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+    font-size: 0.75rem; }
+  .control.is-loading.is-medium:after {
+    font-size: 1.25rem; }
+  .control.is-loading.is-large:after {
+    font-size: 1.5rem; }
+
+.breadcrumb {
+  font-size: 1rem;
+  white-space: nowrap; }
+  .breadcrumb a {
+    align-items: center;
+    color: #2e63b8;
+    display: flex;
+    justify-content: center;
+    padding: 0 0.75em; }
+    .breadcrumb a:hover {
+      color: #363636; }
+  .breadcrumb li {
+    align-items: center;
+    display: flex; }
+    .breadcrumb li:first-child a {
+      padding-left: 0; }
+    .breadcrumb li.is-active a {
+      color: #222222;
+      cursor: default;
+      pointer-events: none; }
+    .breadcrumb li + li::before {
+      color: #b5b5b5;
+      content: "\0002f"; }
+  .breadcrumb ul,
+  .breadcrumb ol {
+    align-items: flex-start;
+    display: flex;
+    flex-wrap: wrap;
+    justify-content: flex-start; }
+  .breadcrumb .icon:first-child {
+    margin-right: 0.5em; }
+  .breadcrumb .icon:last-child {
+    margin-left: 0.5em; }
+  .breadcrumb.is-centered ol,
+  .breadcrumb.is-centered ul {
+    justify-content: center; }
+  .breadcrumb.is-right ol,
+  .breadcrumb.is-right ul {
+    justify-content: flex-end; }
+  .breadcrumb.is-small, #documenter .docs-sidebar form.docs-search > input.breadcrumb {
+    font-size: 0.75rem; }
+  .breadcrumb.is-medium {
+    font-size: 1.25rem; }
+  .breadcrumb.is-large {
+    font-size: 1.5rem; }
+  .breadcrumb.has-arrow-separator li + li::before {
+    content: "\02192"; }
+  .breadcrumb.has-bullet-separator li + li::before {
+    content: "\02022"; }
+  .breadcrumb.has-dot-separator li + li::before {
+    content: "\000b7"; }
+  .breadcrumb.has-succeeds-separator li + li::before {
+    content: "\0227B"; }
+
+.card {
+  background-color: white;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+  color: #222222;
+  max-width: 100%;
+  position: relative; }
+
+.card-header {
+  background-color: transparent;
+  align-items: stretch;
+  box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+  display: flex; }
+
+.card-header-title {
+  align-items: center;
+  color: #222222;
+  display: flex;
+  flex-grow: 1;
+  font-weight: 700;
+  padding: 0.75rem; }
+  .card-header-title.is-centered {
+    justify-content: center; }
+
+.card-header-icon {
+  align-items: center;
+  cursor: pointer;
+  display: flex;
+  justify-content: center;
+  padding: 0.75rem; }
+
+.card-image {
+  display: block;
+  position: relative; }
+
+.card-content {
+  background-color: transparent;
+  padding: 1.5rem; }
+
+.card-footer {
+  background-color: transparent;
+  border-top: 1px solid #dbdbdb;
+  align-items: stretch;
+  display: flex; }
+
+.card-footer-item {
+  align-items: center;
+  display: flex;
+  flex-basis: 0;
+  flex-grow: 1;
+  flex-shrink: 0;
+  justify-content: center;
+  padding: 0.75rem; }
+  .card-footer-item:not(:last-child) {
+    border-right: 1px solid #dbdbdb; }
+
+.card .media:not(:last-child) {
+  margin-bottom: 1.5rem; }
+
+.dropdown {
+  display: inline-flex;
+  position: relative;
+  vertical-align: top; }
+  .dropdown.is-active .dropdown-menu, .dropdown.is-hoverable:hover .dropdown-menu {
+    display: block; }
+  .dropdown.is-right .dropdown-menu {
+    left: auto;
+    right: 0; }
+  .dropdown.is-up .dropdown-menu {
+    bottom: 100%;
+    padding-bottom: 4px;
+    padding-top: initial;
+    top: auto; }
+
+.dropdown-menu {
+  display: none;
+  left: 0;
+  min-width: 12rem;
+  padding-top: 4px;
+  position: absolute;
+  top: 100%;
+  z-index: 20; }
+
+.dropdown-content {
+  background-color: white;
+  border-radius: 4px;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+  padding-bottom: 0.5rem;
+  padding-top: 0.5rem; }
+
+.dropdown-item {
+  color: #4a4a4a;
+  display: block;
+  font-size: 0.875rem;
+  line-height: 1.5;
+  padding: 0.375rem 1rem;
+  position: relative; }
+
+a.dropdown-item,
+button.dropdown-item {
+  padding-right: 3rem;
+  text-align: left;
+  white-space: nowrap;
+  width: 100%; }
+  a.dropdown-item:hover,
+  button.dropdown-item:hover {
+    background-color: whitesmoke;
+    color: #0a0a0a; }
+  a.dropdown-item.is-active,
+  button.dropdown-item.is-active {
+    background-color: #2e63b8;
+    color: #fff; }
+
+.dropdown-divider {
+  background-color: #dbdbdb;
+  border: none;
+  display: block;
+  height: 1px;
+  margin: 0.5rem 0; }
+
+.level {
+  align-items: center;
+  justify-content: space-between; }
+  .level code {
+    border-radius: 4px; }
+  .level img {
+    display: inline-block;
+    vertical-align: top; }
+  .level.is-mobile {
+    display: flex; }
+    .level.is-mobile .level-left,
+    .level.is-mobile .level-right {
+      display: flex; }
+    .level.is-mobile .level-left + .level-right {
+      margin-top: 0; }
+    .level.is-mobile .level-item:not(:last-child) {
+      margin-bottom: 0;
+      margin-right: 0.75rem; }
+    .level.is-mobile .level-item:not(.is-narrow) {
+      flex-grow: 1; }
+  @media screen and (min-width: 769px), print {
+    .level {
+      display: flex; }
+      .level > .level-item:not(.is-narrow) {
+        flex-grow: 1; } }
+.level-item {
+  align-items: center;
+  display: flex;
+  flex-basis: auto;
+  flex-grow: 0;
+  flex-shrink: 0;
+  justify-content: center; }
+  .level-item .title,
+  .level-item .subtitle {
+    margin-bottom: 0; }
+  @media screen and (max-width: 768px) {
+    .level-item:not(:last-child) {
+      margin-bottom: 0.75rem; } }
+.level-left,
+.level-right {
+  flex-basis: auto;
+  flex-grow: 0;
+  flex-shrink: 0; }
+  .level-left .level-item.is-flexible,
+  .level-right .level-item.is-flexible {
+    flex-grow: 1; }
+  @media screen and (min-width: 769px), print {
+    .level-left .level-item:not(:last-child),
+    .level-right .level-item:not(:last-child) {
+      margin-right: 0.75rem; } }
+.level-left {
+  align-items: center;
+  justify-content: flex-start; }
+  @media screen and (max-width: 768px) {
+    .level-left + .level-right {
+      margin-top: 1.5rem; } }
+  @media screen and (min-width: 769px), print {
+    .level-left {
+      display: flex; } }
+.level-right {
+  align-items: center;
+  justify-content: flex-end; }
+  @media screen and (min-width: 769px), print {
+    .level-right {
+      display: flex; } }
+.list {
+  background-color: white;
+  border-radius: 4px;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); }
+
+.list-item {
+  display: block;
+  padding: 0.5em 1em; }
+  .list-item:not(a) {
+    color: #222222; }
+  .list-item:first-child {
+    border-top-left-radius: 4px;
+    border-top-right-radius: 4px; }
+  .list-item:last-child {
+    border-bottom-left-radius: 4px;
+    border-bottom-right-radius: 4px; }
+  .list-item:not(:last-child) {
+    border-bottom: 1px solid #dbdbdb; }
+  .list-item.is-active {
+    background-color: #2e63b8;
+    color: #fff; }
+
+a.list-item {
+  background-color: whitesmoke;
+  cursor: pointer; }
+
+.media {
+  align-items: flex-start;
+  display: flex;
+  text-align: left; }
+  .media .content:not(:last-child) {
+    margin-bottom: 0.75rem; }
+  .media .media {
+    border-top: 1px solid rgba(219, 219, 219, 0.5);
+    display: flex;
+    padding-top: 0.75rem; }
+    .media .media .content:not(:last-child),
+    .media .media .control:not(:last-child) {
+      margin-bottom: 0.5rem; }
+    .media .media .media {
+      padding-top: 0.5rem; }
+      .media .media .media + .media {
+        margin-top: 0.5rem; }
+  .media + .media {
+    border-top: 1px solid rgba(219, 219, 219, 0.5);
+    margin-top: 1rem;
+    padding-top: 1rem; }
+  .media.is-large + .media {
+    margin-top: 1.5rem;
+    padding-top: 1.5rem; }
+
+.media-left,
+.media-right {
+  flex-basis: auto;
+  flex-grow: 0;
+  flex-shrink: 0; }
+
+.media-left {
+  margin-right: 1rem; }
+
+.media-right {
+  margin-left: 1rem; }
+
+.media-content {
+  flex-basis: auto;
+  flex-grow: 1;
+  flex-shrink: 1;
+  text-align: left; }
+
+@media screen and (max-width: 768px) {
+  .media-content {
+    overflow-x: auto; } }
+
+.menu {
+  font-size: 1rem; }
+  .menu.is-small, #documenter .docs-sidebar form.docs-search > input.menu {
+    font-size: 0.75rem; }
+  .menu.is-medium {
+    font-size: 1.25rem; }
+  .menu.is-large {
+    font-size: 1.5rem; }
+
+.menu-list {
+  line-height: 1.25; }
+  .menu-list a {
+    border-radius: 2px;
+    color: #222222;
+    display: block;
+    padding: 0.5em 0.75em; }
+    .menu-list a:hover {
+      background-color: whitesmoke;
+      color: #222222; }
+    .menu-list a.is-active {
+      background-color: #2e63b8;
+      color: #fff; }
+  .menu-list li ul {
+    border-left: 1px solid #dbdbdb;
+    margin: 0.75em;
+    padding-left: 0.75em; }
+
+.menu-label {
+  color: #6b6b6b;
+  font-size: 0.75em;
+  letter-spacing: 0.1em;
+  text-transform: uppercase; }
+  .menu-label:not(:first-child) {
+    margin-top: 1em; }
+  .menu-label:not(:last-child) {
+    margin-bottom: 1em; }
+
+.message {
+  background-color: whitesmoke;
+  border-radius: 4px;
+  font-size: 1rem; }
+  .message strong {
+    color: currentColor; }
+  .message a:not(.button):not(.tag):not(.dropdown-item) {
+    color: currentColor;
+    text-decoration: underline; }
+  .message.is-small, #documenter .docs-sidebar form.docs-search > input.message {
+    font-size: 0.75rem; }
+  .message.is-medium {
+    font-size: 1.25rem; }
+  .message.is-large {
+    font-size: 1.5rem; }
+  .message.is-white {
+    background-color: white; }
+    .message.is-white .message-header {
+      background-color: white;
+      color: #0a0a0a; }
+    .message.is-white .message-body {
+      border-color: white;
+      color: #4d4d4d; }
+  .message.is-black {
+    background-color: #fafafa; }
+    .message.is-black .message-header {
+      background-color: #0a0a0a;
+      color: white; }
+    .message.is-black .message-body {
+      border-color: #0a0a0a;
+      color: #090909; }
+  .message.is-light {
+    background-color: #fafafa; }
+    .message.is-light .message-header {
+      background-color: whitesmoke;
+      color: #363636; }
+    .message.is-light .message-body {
+      border-color: whitesmoke;
+      color: #505050; }
+  .message.is-dark, .content kbd.message {
+    background-color: #fafafa; }
+    .message.is-dark .message-header, .content kbd.message .message-header {
+      background-color: #363636;
+      color: whitesmoke; }
+    .message.is-dark .message-body, .content kbd.message .message-body {
+      border-color: #363636;
+      color: #2a2a2a; }
+  .message.is-primary, .docstring > section > a.message.docs-sourcelink {
+    background-color: #f6fbfd; }
+    .message.is-primary .message-header, .docstring > section > a.message.docs-sourcelink .message-header {
+      background-color: #4eb5de;
+      color: #fff; }
+    .message.is-primary .message-body, .docstring > section > a.message.docs-sourcelink .message-body {
+      border-color: #4eb5de;
+      color: #1f556a; }
+  .message.is-link {
+    background-color: #f7f9fd; }
+    .message.is-link .message-header {
+      background-color: #2e63b8;
+      color: #fff; }
+    .message.is-link .message-body {
+      border-color: #2e63b8;
+      color: #264981; }
+  .message.is-info {
+    background-color: #f6fbfe; }
+    .message.is-info .message-header {
+      background-color: #209cee;
+      color: #fff; }
+    .message.is-info .message-body {
+      border-color: #209cee;
+      color: #12537d; }
+  .message.is-success {
+    background-color: #f6fdf9; }
+    .message.is-success .message-header {
+      background-color: #22c35b;
+      color: #fff; }
+    .message.is-success .message-body {
+      border-color: #22c35b;
+      color: #0f361d; }
+  .message.is-warning {
+    background-color: #fffdf5; }
+    .message.is-warning .message-header {
+      background-color: #ffdd57;
+      color: rgba(0, 0, 0, 0.7); }
+    .message.is-warning .message-body {
+      border-color: #ffdd57;
+      color: #3c3108; }
+  .message.is-danger {
+    background-color: #fff5f5; }
+    .message.is-danger .message-header {
+      background-color: #da0b00;
+      color: #fff; }
+    .message.is-danger .message-body {
+      border-color: #da0b00;
+      color: #9b0c04; }
+
+.message-header {
+  align-items: center;
+  background-color: #222222;
+  border-radius: 4px 4px 0 0;
+  color: #fff;
+  display: flex;
+  font-weight: 700;
+  justify-content: space-between;
+  line-height: 1.25;
+  padding: 0.75em 1em;
+  position: relative; }
+  .message-header .delete {
+    flex-grow: 0;
+    flex-shrink: 0;
+    margin-left: 0.75em; }
+  .message-header + .message-body {
+    border-width: 0;
+    border-top-left-radius: 0;
+    border-top-right-radius: 0; }
+
+.message-body {
+  border-color: #dbdbdb;
+  border-radius: 4px;
+  border-style: solid;
+  border-width: 0 0 0 4px;
+  color: #222222;
+  padding: 1.25em 1.5em; }
+  .message-body code,
+  .message-body pre {
+    background-color: white; }
+  .message-body pre code {
+    background-color: transparent; }
+
+.modal {
+  align-items: center;
+  display: none;
+  flex-direction: column;
+  justify-content: center;
+  overflow: hidden;
+  position: fixed;
+  z-index: 40; }
+  .modal.is-active {
+    display: flex; }
+
+.modal-background {
+  background-color: rgba(10, 10, 10, 0.86); }
+
+.modal-content,
+.modal-card {
+  margin: 0 20px;
+  max-height: calc(100vh - 160px);
+  overflow: auto;
+  position: relative;
+  width: 100%; }
+  @media screen and (min-width: 769px), print {
+    .modal-content,
+    .modal-card {
+      margin: 0 auto;
+      max-height: calc(100vh - 40px);
+      width: 640px; } }
+.modal-close {
+  background: none;
+  height: 40px;
+  position: fixed;
+  right: 20px;
+  top: 20px;
+  width: 40px; }
+
+.modal-card {
+  display: flex;
+  flex-direction: column;
+  max-height: calc(100vh - 40px);
+  overflow: hidden;
+  -ms-overflow-y: visible; }
+
+.modal-card-head,
+.modal-card-foot {
+  align-items: center;
+  background-color: whitesmoke;
+  display: flex;
+  flex-shrink: 0;
+  justify-content: flex-start;
+  padding: 20px;
+  position: relative; }
+
+.modal-card-head {
+  border-bottom: 1px solid #dbdbdb;
+  border-top-left-radius: 6px;
+  border-top-right-radius: 6px; }
+
+.modal-card-title {
+  color: #222222;
+  flex-grow: 1;
+  flex-shrink: 0;
+  font-size: 1.5rem;
+  line-height: 1; }
+
+.modal-card-foot {
+  border-bottom-left-radius: 6px;
+  border-bottom-right-radius: 6px;
+  border-top: 1px solid #dbdbdb; }
+  .modal-card-foot .button:not(:last-child) {
+    margin-right: 0.5em; }
+
+.modal-card-body {
+  -webkit-overflow-scrolling: touch;
+  background-color: white;
+  flex-grow: 1;
+  flex-shrink: 1;
+  overflow: auto;
+  padding: 20px; }
+
+.navbar {
+  background-color: white;
+  min-height: 3.25rem;
+  position: relative;
+  z-index: 30; }
+  .navbar.is-white {
+    background-color: white;
+    color: #0a0a0a; }
+    .navbar.is-white .navbar-brand > .navbar-item,
+    .navbar.is-white .navbar-brand .navbar-link {
+      color: #0a0a0a; }
+    .navbar.is-white .navbar-brand > a.navbar-item:focus, .navbar.is-white .navbar-brand > a.navbar-item:hover, .navbar.is-white .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-white .navbar-brand .navbar-link:focus,
+    .navbar.is-white .navbar-brand .navbar-link:hover,
+    .navbar.is-white .navbar-brand .navbar-link.is-active {
+      background-color: #f2f2f2;
+      color: #0a0a0a; }
+    .navbar.is-white .navbar-brand .navbar-link::after {
+      border-color: #0a0a0a; }
+    .navbar.is-white .navbar-burger {
+      color: #0a0a0a; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-white .navbar-start > .navbar-item,
+      .navbar.is-white .navbar-start .navbar-link,
+      .navbar.is-white .navbar-end > .navbar-item,
+      .navbar.is-white .navbar-end .navbar-link {
+        color: #0a0a0a; }
+      .navbar.is-white .navbar-start > a.navbar-item:focus, .navbar.is-white .navbar-start > a.navbar-item:hover, .navbar.is-white .navbar-start > a.navbar-item.is-active,
+      .navbar.is-white .navbar-start .navbar-link:focus,
+      .navbar.is-white .navbar-start .navbar-link:hover,
+      .navbar.is-white .navbar-start .navbar-link.is-active,
+      .navbar.is-white .navbar-end > a.navbar-item:focus,
+      .navbar.is-white .navbar-end > a.navbar-item:hover,
+      .navbar.is-white .navbar-end > a.navbar-item.is-active,
+      .navbar.is-white .navbar-end .navbar-link:focus,
+      .navbar.is-white .navbar-end .navbar-link:hover,
+      .navbar.is-white .navbar-end .navbar-link.is-active {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      .navbar.is-white .navbar-start .navbar-link::after,
+      .navbar.is-white .navbar-end .navbar-link::after {
+        border-color: #0a0a0a; }
+      .navbar.is-white .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-white .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-white .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      .navbar.is-white .navbar-dropdown a.navbar-item.is-active {
+        background-color: white;
+        color: #0a0a0a; } }
+  .navbar.is-black {
+    background-color: #0a0a0a;
+    color: white; }
+    .navbar.is-black .navbar-brand > .navbar-item,
+    .navbar.is-black .navbar-brand .navbar-link {
+      color: white; }
+    .navbar.is-black .navbar-brand > a.navbar-item:focus, .navbar.is-black .navbar-brand > a.navbar-item:hover, .navbar.is-black .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-black .navbar-brand .navbar-link:focus,
+    .navbar.is-black .navbar-brand .navbar-link:hover,
+    .navbar.is-black .navbar-brand .navbar-link.is-active {
+      background-color: black;
+      color: white; }
+    .navbar.is-black .navbar-brand .navbar-link::after {
+      border-color: white; }
+    .navbar.is-black .navbar-burger {
+      color: white; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-black .navbar-start > .navbar-item,
+      .navbar.is-black .navbar-start .navbar-link,
+      .navbar.is-black .navbar-end > .navbar-item,
+      .navbar.is-black .navbar-end .navbar-link {
+        color: white; }
+      .navbar.is-black .navbar-start > a.navbar-item:focus, .navbar.is-black .navbar-start > a.navbar-item:hover, .navbar.is-black .navbar-start > a.navbar-item.is-active,
+      .navbar.is-black .navbar-start .navbar-link:focus,
+      .navbar.is-black .navbar-start .navbar-link:hover,
+      .navbar.is-black .navbar-start .navbar-link.is-active,
+      .navbar.is-black .navbar-end > a.navbar-item:focus,
+      .navbar.is-black .navbar-end > a.navbar-item:hover,
+      .navbar.is-black .navbar-end > a.navbar-item.is-active,
+      .navbar.is-black .navbar-end .navbar-link:focus,
+      .navbar.is-black .navbar-end .navbar-link:hover,
+      .navbar.is-black .navbar-end .navbar-link.is-active {
+        background-color: black;
+        color: white; }
+      .navbar.is-black .navbar-start .navbar-link::after,
+      .navbar.is-black .navbar-end .navbar-link::after {
+        border-color: white; }
+      .navbar.is-black .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-black .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-black .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: black;
+        color: white; }
+      .navbar.is-black .navbar-dropdown a.navbar-item.is-active {
+        background-color: #0a0a0a;
+        color: white; } }
+  .navbar.is-light {
+    background-color: whitesmoke;
+    color: #363636; }
+    .navbar.is-light .navbar-brand > .navbar-item,
+    .navbar.is-light .navbar-brand .navbar-link {
+      color: #363636; }
+    .navbar.is-light .navbar-brand > a.navbar-item:focus, .navbar.is-light .navbar-brand > a.navbar-item:hover, .navbar.is-light .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-light .navbar-brand .navbar-link:focus,
+    .navbar.is-light .navbar-brand .navbar-link:hover,
+    .navbar.is-light .navbar-brand .navbar-link.is-active {
+      background-color: #e8e8e8;
+      color: #363636; }
+    .navbar.is-light .navbar-brand .navbar-link::after {
+      border-color: #363636; }
+    .navbar.is-light .navbar-burger {
+      color: #363636; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-light .navbar-start > .navbar-item,
+      .navbar.is-light .navbar-start .navbar-link,
+      .navbar.is-light .navbar-end > .navbar-item,
+      .navbar.is-light .navbar-end .navbar-link {
+        color: #363636; }
+      .navbar.is-light .navbar-start > a.navbar-item:focus, .navbar.is-light .navbar-start > a.navbar-item:hover, .navbar.is-light .navbar-start > a.navbar-item.is-active,
+      .navbar.is-light .navbar-start .navbar-link:focus,
+      .navbar.is-light .navbar-start .navbar-link:hover,
+      .navbar.is-light .navbar-start .navbar-link.is-active,
+      .navbar.is-light .navbar-end > a.navbar-item:focus,
+      .navbar.is-light .navbar-end > a.navbar-item:hover,
+      .navbar.is-light .navbar-end > a.navbar-item.is-active,
+      .navbar.is-light .navbar-end .navbar-link:focus,
+      .navbar.is-light .navbar-end .navbar-link:hover,
+      .navbar.is-light .navbar-end .navbar-link.is-active {
+        background-color: #e8e8e8;
+        color: #363636; }
+      .navbar.is-light .navbar-start .navbar-link::after,
+      .navbar.is-light .navbar-end .navbar-link::after {
+        border-color: #363636; }
+      .navbar.is-light .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-light .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-light .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #e8e8e8;
+        color: #363636; }
+      .navbar.is-light .navbar-dropdown a.navbar-item.is-active {
+        background-color: whitesmoke;
+        color: #363636; } }
+  .navbar.is-dark, .content kbd.navbar {
+    background-color: #363636;
+    color: whitesmoke; }
+    .navbar.is-dark .navbar-brand > .navbar-item, .content kbd.navbar .navbar-brand > .navbar-item,
+    .navbar.is-dark .navbar-brand .navbar-link,
+    .content kbd.navbar .navbar-brand .navbar-link {
+      color: whitesmoke; }
+    .navbar.is-dark .navbar-brand > a.navbar-item:focus, .content kbd.navbar .navbar-brand > a.navbar-item:focus, .navbar.is-dark .navbar-brand > a.navbar-item:hover, .content kbd.navbar .navbar-brand > a.navbar-item:hover, .navbar.is-dark .navbar-brand > a.navbar-item.is-active, .content kbd.navbar .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-dark .navbar-brand .navbar-link:focus,
+    .content kbd.navbar .navbar-brand .navbar-link:focus,
+    .navbar.is-dark .navbar-brand .navbar-link:hover,
+    .content kbd.navbar .navbar-brand .navbar-link:hover,
+    .navbar.is-dark .navbar-brand .navbar-link.is-active,
+    .content kbd.navbar .navbar-brand .navbar-link.is-active {
+      background-color: #292929;
+      color: whitesmoke; }
+    .navbar.is-dark .navbar-brand .navbar-link::after, .content kbd.navbar .navbar-brand .navbar-link::after {
+      border-color: whitesmoke; }
+    .navbar.is-dark .navbar-burger, .content kbd.navbar .navbar-burger {
+      color: whitesmoke; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-dark .navbar-start > .navbar-item, .content kbd.navbar .navbar-start > .navbar-item,
+      .navbar.is-dark .navbar-start .navbar-link,
+      .content kbd.navbar .navbar-start .navbar-link,
+      .navbar.is-dark .navbar-end > .navbar-item,
+      .content kbd.navbar .navbar-end > .navbar-item,
+      .navbar.is-dark .navbar-end .navbar-link,
+      .content kbd.navbar .navbar-end .navbar-link {
+        color: whitesmoke; }
+      .navbar.is-dark .navbar-start > a.navbar-item:focus, .content kbd.navbar .navbar-start > a.navbar-item:focus, .navbar.is-dark .navbar-start > a.navbar-item:hover, .content kbd.navbar .navbar-start > a.navbar-item:hover, .navbar.is-dark .navbar-start > a.navbar-item.is-active, .content kbd.navbar .navbar-start > a.navbar-item.is-active,
+      .navbar.is-dark .navbar-start .navbar-link:focus,
+      .content kbd.navbar .navbar-start .navbar-link:focus,
+      .navbar.is-dark .navbar-start .navbar-link:hover,
+      .content kbd.navbar .navbar-start .navbar-link:hover,
+      .navbar.is-dark .navbar-start .navbar-link.is-active,
+      .content kbd.navbar .navbar-start .navbar-link.is-active,
+      .navbar.is-dark .navbar-end > a.navbar-item:focus,
+      .content kbd.navbar .navbar-end > a.navbar-item:focus,
+      .navbar.is-dark .navbar-end > a.navbar-item:hover,
+      .content kbd.navbar .navbar-end > a.navbar-item:hover,
+      .navbar.is-dark .navbar-end > a.navbar-item.is-active,
+      .content kbd.navbar .navbar-end > a.navbar-item.is-active,
+      .navbar.is-dark .navbar-end .navbar-link:focus,
+      .content kbd.navbar .navbar-end .navbar-link:focus,
+      .navbar.is-dark .navbar-end .navbar-link:hover,
+      .content kbd.navbar .navbar-end .navbar-link:hover,
+      .navbar.is-dark .navbar-end .navbar-link.is-active,
+      .content kbd.navbar .navbar-end .navbar-link.is-active {
+        background-color: #292929;
+        color: whitesmoke; }
+      .navbar.is-dark .navbar-start .navbar-link::after, .content kbd.navbar .navbar-start .navbar-link::after,
+      .navbar.is-dark .navbar-end .navbar-link::after,
+      .content kbd.navbar .navbar-end .navbar-link::after {
+        border-color: whitesmoke; }
+      .navbar.is-dark .navbar-item.has-dropdown:focus .navbar-link, .content kbd.navbar .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-dark .navbar-item.has-dropdown:hover .navbar-link,
+      .content kbd.navbar .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-dark .navbar-item.has-dropdown.is-active .navbar-link,
+      .content kbd.navbar .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #292929;
+        color: whitesmoke; }
+      .navbar.is-dark .navbar-dropdown a.navbar-item.is-active, .content kbd.navbar .navbar-dropdown a.navbar-item.is-active {
+        background-color: #363636;
+        color: whitesmoke; } }
+  .navbar.is-primary, .docstring > section > a.navbar.docs-sourcelink {
+    background-color: #4eb5de;
+    color: #fff; }
+    .navbar.is-primary .navbar-brand > .navbar-item, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > .navbar-item,
+    .navbar.is-primary .navbar-brand .navbar-link,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-primary .navbar-brand > a.navbar-item:focus, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:focus, .navbar.is-primary .navbar-brand > a.navbar-item:hover, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:hover, .navbar.is-primary .navbar-brand > a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-primary .navbar-brand .navbar-link:focus,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:focus,
+    .navbar.is-primary .navbar-brand .navbar-link:hover,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:hover,
+    .navbar.is-primary .navbar-brand .navbar-link.is-active,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link.is-active {
+      background-color: #39acda;
+      color: #fff; }
+    .navbar.is-primary .navbar-brand .navbar-link::after, .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-primary .navbar-burger, .docstring > section > a.navbar.docs-sourcelink .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-primary .navbar-start > .navbar-item, .docstring > section > a.navbar.docs-sourcelink .navbar-start > .navbar-item,
+      .navbar.is-primary .navbar-start .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link,
+      .navbar.is-primary .navbar-end > .navbar-item,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > .navbar-item,
+      .navbar.is-primary .navbar-end .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-primary .navbar-start > a.navbar-item:focus, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:focus, .navbar.is-primary .navbar-start > a.navbar-item:hover, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:hover, .navbar.is-primary .navbar-start > a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item.is-active,
+      .navbar.is-primary .navbar-start .navbar-link:focus,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:focus,
+      .navbar.is-primary .navbar-start .navbar-link:hover,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:hover,
+      .navbar.is-primary .navbar-start .navbar-link.is-active,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link.is-active,
+      .navbar.is-primary .navbar-end > a.navbar-item:focus,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:focus,
+      .navbar.is-primary .navbar-end > a.navbar-item:hover,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:hover,
+      .navbar.is-primary .navbar-end > a.navbar-item.is-active,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item.is-active,
+      .navbar.is-primary .navbar-end .navbar-link:focus,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:focus,
+      .navbar.is-primary .navbar-end .navbar-link:hover,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:hover,
+      .navbar.is-primary .navbar-end .navbar-link.is-active,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link.is-active {
+        background-color: #39acda;
+        color: #fff; }
+      .navbar.is-primary .navbar-start .navbar-link::after, .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link::after,
+      .navbar.is-primary .navbar-end .navbar-link::after,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-primary .navbar-item.has-dropdown:focus .navbar-link, .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-primary .navbar-item.has-dropdown:hover .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-primary .navbar-item.has-dropdown.is-active .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #39acda;
+        color: #fff; }
+      .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active {
+        background-color: #4eb5de;
+        color: #fff; } }
+  .navbar.is-link {
+    background-color: #2e63b8;
+    color: #fff; }
+    .navbar.is-link .navbar-brand > .navbar-item,
+    .navbar.is-link .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-link .navbar-brand > a.navbar-item:focus, .navbar.is-link .navbar-brand > a.navbar-item:hover, .navbar.is-link .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-link .navbar-brand .navbar-link:focus,
+    .navbar.is-link .navbar-brand .navbar-link:hover,
+    .navbar.is-link .navbar-brand .navbar-link.is-active {
+      background-color: #2958a4;
+      color: #fff; }
+    .navbar.is-link .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-link .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-link .navbar-start > .navbar-item,
+      .navbar.is-link .navbar-start .navbar-link,
+      .navbar.is-link .navbar-end > .navbar-item,
+      .navbar.is-link .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-link .navbar-start > a.navbar-item:focus, .navbar.is-link .navbar-start > a.navbar-item:hover, .navbar.is-link .navbar-start > a.navbar-item.is-active,
+      .navbar.is-link .navbar-start .navbar-link:focus,
+      .navbar.is-link .navbar-start .navbar-link:hover,
+      .navbar.is-link .navbar-start .navbar-link.is-active,
+      .navbar.is-link .navbar-end > a.navbar-item:focus,
+      .navbar.is-link .navbar-end > a.navbar-item:hover,
+      .navbar.is-link .navbar-end > a.navbar-item.is-active,
+      .navbar.is-link .navbar-end .navbar-link:focus,
+      .navbar.is-link .navbar-end .navbar-link:hover,
+      .navbar.is-link .navbar-end .navbar-link.is-active {
+        background-color: #2958a4;
+        color: #fff; }
+      .navbar.is-link .navbar-start .navbar-link::after,
+      .navbar.is-link .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-link .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-link .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-link .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #2958a4;
+        color: #fff; }
+      .navbar.is-link .navbar-dropdown a.navbar-item.is-active {
+        background-color: #2e63b8;
+        color: #fff; } }
+  .navbar.is-info {
+    background-color: #209cee;
+    color: #fff; }
+    .navbar.is-info .navbar-brand > .navbar-item,
+    .navbar.is-info .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-info .navbar-brand > a.navbar-item:focus, .navbar.is-info .navbar-brand > a.navbar-item:hover, .navbar.is-info .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-info .navbar-brand .navbar-link:focus,
+    .navbar.is-info .navbar-brand .navbar-link:hover,
+    .navbar.is-info .navbar-brand .navbar-link.is-active {
+      background-color: #1190e3;
+      color: #fff; }
+    .navbar.is-info .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-info .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-info .navbar-start > .navbar-item,
+      .navbar.is-info .navbar-start .navbar-link,
+      .navbar.is-info .navbar-end > .navbar-item,
+      .navbar.is-info .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-info .navbar-start > a.navbar-item:focus, .navbar.is-info .navbar-start > a.navbar-item:hover, .navbar.is-info .navbar-start > a.navbar-item.is-active,
+      .navbar.is-info .navbar-start .navbar-link:focus,
+      .navbar.is-info .navbar-start .navbar-link:hover,
+      .navbar.is-info .navbar-start .navbar-link.is-active,
+      .navbar.is-info .navbar-end > a.navbar-item:focus,
+      .navbar.is-info .navbar-end > a.navbar-item:hover,
+      .navbar.is-info .navbar-end > a.navbar-item.is-active,
+      .navbar.is-info .navbar-end .navbar-link:focus,
+      .navbar.is-info .navbar-end .navbar-link:hover,
+      .navbar.is-info .navbar-end .navbar-link.is-active {
+        background-color: #1190e3;
+        color: #fff; }
+      .navbar.is-info .navbar-start .navbar-link::after,
+      .navbar.is-info .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-info .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-info .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-info .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #1190e3;
+        color: #fff; }
+      .navbar.is-info .navbar-dropdown a.navbar-item.is-active {
+        background-color: #209cee;
+        color: #fff; } }
+  .navbar.is-success {
+    background-color: #22c35b;
+    color: #fff; }
+    .navbar.is-success .navbar-brand > .navbar-item,
+    .navbar.is-success .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-success .navbar-brand > a.navbar-item:focus, .navbar.is-success .navbar-brand > a.navbar-item:hover, .navbar.is-success .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-success .navbar-brand .navbar-link:focus,
+    .navbar.is-success .navbar-brand .navbar-link:hover,
+    .navbar.is-success .navbar-brand .navbar-link.is-active {
+      background-color: #1ead51;
+      color: #fff; }
+    .navbar.is-success .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-success .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-success .navbar-start > .navbar-item,
+      .navbar.is-success .navbar-start .navbar-link,
+      .navbar.is-success .navbar-end > .navbar-item,
+      .navbar.is-success .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-success .navbar-start > a.navbar-item:focus, .navbar.is-success .navbar-start > a.navbar-item:hover, .navbar.is-success .navbar-start > a.navbar-item.is-active,
+      .navbar.is-success .navbar-start .navbar-link:focus,
+      .navbar.is-success .navbar-start .navbar-link:hover,
+      .navbar.is-success .navbar-start .navbar-link.is-active,
+      .navbar.is-success .navbar-end > a.navbar-item:focus,
+      .navbar.is-success .navbar-end > a.navbar-item:hover,
+      .navbar.is-success .navbar-end > a.navbar-item.is-active,
+      .navbar.is-success .navbar-end .navbar-link:focus,
+      .navbar.is-success .navbar-end .navbar-link:hover,
+      .navbar.is-success .navbar-end .navbar-link.is-active {
+        background-color: #1ead51;
+        color: #fff; }
+      .navbar.is-success .navbar-start .navbar-link::after,
+      .navbar.is-success .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-success .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-success .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-success .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #1ead51;
+        color: #fff; }
+      .navbar.is-success .navbar-dropdown a.navbar-item.is-active {
+        background-color: #22c35b;
+        color: #fff; } }
+  .navbar.is-warning {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-brand > .navbar-item,
+    .navbar.is-warning .navbar-brand .navbar-link {
+      color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-brand > a.navbar-item:focus, .navbar.is-warning .navbar-brand > a.navbar-item:hover, .navbar.is-warning .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-warning .navbar-brand .navbar-link:focus,
+    .navbar.is-warning .navbar-brand .navbar-link:hover,
+    .navbar.is-warning .navbar-brand .navbar-link.is-active {
+      background-color: #ffd83e;
+      color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-brand .navbar-link::after {
+      border-color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-burger {
+      color: rgba(0, 0, 0, 0.7); }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-warning .navbar-start > .navbar-item,
+      .navbar.is-warning .navbar-start .navbar-link,
+      .navbar.is-warning .navbar-end > .navbar-item,
+      .navbar.is-warning .navbar-end .navbar-link {
+        color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-start > a.navbar-item:focus, .navbar.is-warning .navbar-start > a.navbar-item:hover, .navbar.is-warning .navbar-start > a.navbar-item.is-active,
+      .navbar.is-warning .navbar-start .navbar-link:focus,
+      .navbar.is-warning .navbar-start .navbar-link:hover,
+      .navbar.is-warning .navbar-start .navbar-link.is-active,
+      .navbar.is-warning .navbar-end > a.navbar-item:focus,
+      .navbar.is-warning .navbar-end > a.navbar-item:hover,
+      .navbar.is-warning .navbar-end > a.navbar-item.is-active,
+      .navbar.is-warning .navbar-end .navbar-link:focus,
+      .navbar.is-warning .navbar-end .navbar-link:hover,
+      .navbar.is-warning .navbar-end .navbar-link.is-active {
+        background-color: #ffd83e;
+        color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-start .navbar-link::after,
+      .navbar.is-warning .navbar-end .navbar-link::after {
+        border-color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-warning .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-warning .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #ffd83e;
+        color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-dropdown a.navbar-item.is-active {
+        background-color: #ffdd57;
+        color: rgba(0, 0, 0, 0.7); } }
+  .navbar.is-danger {
+    background-color: #da0b00;
+    color: #fff; }
+    .navbar.is-danger .navbar-brand > .navbar-item,
+    .navbar.is-danger .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-danger .navbar-brand > a.navbar-item:focus, .navbar.is-danger .navbar-brand > a.navbar-item:hover, .navbar.is-danger .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-danger .navbar-brand .navbar-link:focus,
+    .navbar.is-danger .navbar-brand .navbar-link:hover,
+    .navbar.is-danger .navbar-brand .navbar-link.is-active {
+      background-color: #c10a00;
+      color: #fff; }
+    .navbar.is-danger .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-danger .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-danger .navbar-start > .navbar-item,
+      .navbar.is-danger .navbar-start .navbar-link,
+      .navbar.is-danger .navbar-end > .navbar-item,
+      .navbar.is-danger .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-danger .navbar-start > a.navbar-item:focus, .navbar.is-danger .navbar-start > a.navbar-item:hover, .navbar.is-danger .navbar-start > a.navbar-item.is-active,
+      .navbar.is-danger .navbar-start .navbar-link:focus,
+      .navbar.is-danger .navbar-start .navbar-link:hover,
+      .navbar.is-danger .navbar-start .navbar-link.is-active,
+      .navbar.is-danger .navbar-end > a.navbar-item:focus,
+      .navbar.is-danger .navbar-end > a.navbar-item:hover,
+      .navbar.is-danger .navbar-end > a.navbar-item.is-active,
+      .navbar.is-danger .navbar-end .navbar-link:focus,
+      .navbar.is-danger .navbar-end .navbar-link:hover,
+      .navbar.is-danger .navbar-end .navbar-link.is-active {
+        background-color: #c10a00;
+        color: #fff; }
+      .navbar.is-danger .navbar-start .navbar-link::after,
+      .navbar.is-danger .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-danger .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-danger .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-danger .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #c10a00;
+        color: #fff; }
+      .navbar.is-danger .navbar-dropdown a.navbar-item.is-active {
+        background-color: #da0b00;
+        color: #fff; } }
+  .navbar > .container {
+    align-items: stretch;
+    display: flex;
+    min-height: 3.25rem;
+    width: 100%; }
+  .navbar.has-shadow {
+    box-shadow: 0 2px 0 0 whitesmoke; }
+  .navbar.is-fixed-bottom, .navbar.is-fixed-top {
+    left: 0;
+    position: fixed;
+    right: 0;
+    z-index: 30; }
+  .navbar.is-fixed-bottom {
+    bottom: 0; }
+    .navbar.is-fixed-bottom.has-shadow {
+      box-shadow: 0 -2px 0 0 whitesmoke; }
+  .navbar.is-fixed-top {
+    top: 0; }
+
+html.has-navbar-fixed-top,
+body.has-navbar-fixed-top {
+  padding-top: 3.25rem; }
+
+html.has-navbar-fixed-bottom,
+body.has-navbar-fixed-bottom {
+  padding-bottom: 3.25rem; }
+
+.navbar-brand,
+.navbar-tabs {
+  align-items: stretch;
+  display: flex;
+  flex-shrink: 0;
+  min-height: 3.25rem; }
+
+.navbar-brand a.navbar-item:focus, .navbar-brand a.navbar-item:hover {
+  background-color: transparent; }
+
+.navbar-tabs {
+  -webkit-overflow-scrolling: touch;
+  max-width: 100vw;
+  overflow-x: auto;
+  overflow-y: hidden; }
+
+.navbar-burger {
+  color: #4a4a4a;
+  cursor: pointer;
+  display: block;
+  height: 3.25rem;
+  position: relative;
+  width: 3.25rem;
+  margin-left: auto; }
+  .navbar-burger span {
+    background-color: currentColor;
+    display: block;
+    height: 1px;
+    left: calc(50% - 8px);
+    position: absolute;
+    transform-origin: center;
+    transition-duration: 86ms;
+    transition-property: background-color, opacity, transform;
+    transition-timing-function: ease-out;
+    width: 16px; }
+    .navbar-burger span:nth-child(1) {
+      top: calc(50% - 6px); }
+    .navbar-burger span:nth-child(2) {
+      top: calc(50% - 1px); }
+    .navbar-burger span:nth-child(3) {
+      top: calc(50% + 4px); }
+  .navbar-burger:hover {
+    background-color: rgba(0, 0, 0, 0.05); }
+  .navbar-burger.is-active span:nth-child(1) {
+    transform: translateY(5px) rotate(45deg); }
+  .navbar-burger.is-active span:nth-child(2) {
+    opacity: 0; }
+  .navbar-burger.is-active span:nth-child(3) {
+    transform: translateY(-5px) rotate(-45deg); }
+
+.navbar-menu {
+  display: none; }
+
+.navbar-item,
+.navbar-link {
+  color: #4a4a4a;
+  display: block;
+  line-height: 1.5;
+  padding: 0.5rem 0.75rem;
+  position: relative; }
+  .navbar-item .icon:only-child,
+  .navbar-link .icon:only-child {
+    margin-left: -0.25rem;
+    margin-right: -0.25rem; }
+
+a.navbar-item,
+.navbar-link {
+  cursor: pointer; }
+  a.navbar-item:focus, a.navbar-item:focus-within, a.navbar-item:hover, a.navbar-item.is-active,
+  .navbar-link:focus,
+  .navbar-link:focus-within,
+  .navbar-link:hover,
+  .navbar-link.is-active {
+    background-color: #fafafa;
+    color: #2e63b8; }
+
+.navbar-item {
+  display: block;
+  flex-grow: 0;
+  flex-shrink: 0; }
+  .navbar-item img {
+    max-height: 1.75rem; }
+  .navbar-item.has-dropdown {
+    padding: 0; }
+  .navbar-item.is-expanded {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .navbar-item.is-tab {
+    border-bottom: 1px solid transparent;
+    min-height: 3.25rem;
+    padding-bottom: calc(0.5rem - 1px); }
+    .navbar-item.is-tab:focus, .navbar-item.is-tab:hover {
+      background-color: transparent;
+      border-bottom-color: #2e63b8; }
+    .navbar-item.is-tab.is-active {
+      background-color: transparent;
+      border-bottom-color: #2e63b8;
+      border-bottom-style: solid;
+      border-bottom-width: 3px;
+      color: #2e63b8;
+      padding-bottom: calc(0.5rem - 3px); }
+
+.navbar-content {
+  flex-grow: 1;
+  flex-shrink: 1; }
+
+.navbar-link:not(.is-arrowless) {
+  padding-right: 2.5em; }
+  .navbar-link:not(.is-arrowless)::after {
+    border-color: #2e63b8;
+    margin-top: -0.375em;
+    right: 1.125em; }
+
+.navbar-dropdown {
+  font-size: 0.875rem;
+  padding-bottom: 0.5rem;
+  padding-top: 0.5rem; }
+  .navbar-dropdown .navbar-item {
+    padding-left: 1.5rem;
+    padding-right: 1.5rem; }
+
+.navbar-divider {
+  background-color: whitesmoke;
+  border: none;
+  display: none;
+  height: 2px;
+  margin: 0.5rem 0; }
+
+@media screen and (max-width: 1055px) {
+  .navbar > .container {
+    display: block; }
+  .navbar-brand .navbar-item,
+  .navbar-tabs .navbar-item {
+    align-items: center;
+    display: flex; }
+  .navbar-link::after {
+    display: none; }
+  .navbar-menu {
+    background-color: white;
+    box-shadow: 0 8px 16px rgba(10, 10, 10, 0.1);
+    padding: 0.5rem 0; }
+    .navbar-menu.is-active {
+      display: block; }
+  .navbar.is-fixed-bottom-touch, .navbar.is-fixed-top-touch {
+    left: 0;
+    position: fixed;
+    right: 0;
+    z-index: 30; }
+  .navbar.is-fixed-bottom-touch {
+    bottom: 0; }
+    .navbar.is-fixed-bottom-touch.has-shadow {
+      box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+  .navbar.is-fixed-top-touch {
+    top: 0; }
+  .navbar.is-fixed-top .navbar-menu, .navbar.is-fixed-top-touch .navbar-menu {
+    -webkit-overflow-scrolling: touch;
+    max-height: calc(100vh - 3.25rem);
+    overflow: auto; }
+  html.has-navbar-fixed-top-touch,
+  body.has-navbar-fixed-top-touch {
+    padding-top: 3.25rem; }
+  html.has-navbar-fixed-bottom-touch,
+  body.has-navbar-fixed-bottom-touch {
+    padding-bottom: 3.25rem; } }
+
+@media screen and (min-width: 1056px) {
+  .navbar,
+  .navbar-menu,
+  .navbar-start,
+  .navbar-end {
+    align-items: stretch;
+    display: flex; }
+  .navbar {
+    min-height: 3.25rem; }
+    .navbar.is-spaced {
+      padding: 1rem 2rem; }
+      .navbar.is-spaced .navbar-start,
+      .navbar.is-spaced .navbar-end {
+        align-items: center; }
+      .navbar.is-spaced a.navbar-item,
+      .navbar.is-spaced .navbar-link {
+        border-radius: 4px; }
+    .navbar.is-transparent a.navbar-item:focus, .navbar.is-transparent a.navbar-item:hover, .navbar.is-transparent a.navbar-item.is-active,
+    .navbar.is-transparent .navbar-link:focus,
+    .navbar.is-transparent .navbar-link:hover,
+    .navbar.is-transparent .navbar-link.is-active {
+      background-color: transparent !important; }
+    .navbar.is-transparent .navbar-item.has-dropdown.is-active .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus-within .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:hover .navbar-link {
+      background-color: transparent !important; }
+    .navbar.is-transparent .navbar-dropdown a.navbar-item:focus, .navbar.is-transparent .navbar-dropdown a.navbar-item:hover {
+      background-color: whitesmoke;
+      color: #0a0a0a; }
+    .navbar.is-transparent .navbar-dropdown a.navbar-item.is-active {
+      background-color: whitesmoke;
+      color: #2e63b8; }
+  .navbar-burger {
+    display: none; }
+  .navbar-item,
+  .navbar-link {
+    align-items: center;
+    display: flex; }
+  .navbar-item {
+    display: flex; }
+    .navbar-item.has-dropdown {
+      align-items: stretch; }
+    .navbar-item.has-dropdown-up .navbar-link::after {
+      transform: rotate(135deg) translate(0.25em, -0.25em); }
+    .navbar-item.has-dropdown-up .navbar-dropdown {
+      border-bottom: 2px solid #dbdbdb;
+      border-radius: 6px 6px 0 0;
+      border-top: none;
+      bottom: 100%;
+      box-shadow: 0 -8px 8px rgba(10, 10, 10, 0.1);
+      top: auto; }
+    .navbar-item.is-active .navbar-dropdown, .navbar-item.is-hoverable:focus .navbar-dropdown, .navbar-item.is-hoverable:focus-within .navbar-dropdown, .navbar-item.is-hoverable:hover .navbar-dropdown {
+      display: block; }
+      .navbar.is-spaced .navbar-item.is-active .navbar-dropdown, .navbar-item.is-active .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:focus .navbar-dropdown, .navbar-item.is-hoverable:focus .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:focus-within .navbar-dropdown, .navbar-item.is-hoverable:focus-within .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:hover .navbar-dropdown, .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed {
+        opacity: 1;
+        pointer-events: auto;
+        transform: translateY(0); }
+  .navbar-menu {
+    flex-grow: 1;
+    flex-shrink: 0; }
+  .navbar-start {
+    justify-content: flex-start;
+    margin-right: auto; }
+  .navbar-end {
+    justify-content: flex-end;
+    margin-left: auto; }
+  .navbar-dropdown {
+    background-color: white;
+    border-bottom-left-radius: 6px;
+    border-bottom-right-radius: 6px;
+    border-top: 2px solid #dbdbdb;
+    box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1);
+    display: none;
+    font-size: 0.875rem;
+    left: 0;
+    min-width: 100%;
+    position: absolute;
+    top: 100%;
+    z-index: 20; }
+    .navbar-dropdown .navbar-item {
+      padding: 0.375rem 1rem;
+      white-space: nowrap; }
+    .navbar-dropdown a.navbar-item {
+      padding-right: 3rem; }
+      .navbar-dropdown a.navbar-item:focus, .navbar-dropdown a.navbar-item:hover {
+        background-color: whitesmoke;
+        color: #0a0a0a; }
+      .navbar-dropdown a.navbar-item.is-active {
+        background-color: whitesmoke;
+        color: #2e63b8; }
+    .navbar.is-spaced .navbar-dropdown, .navbar-dropdown.is-boxed {
+      border-radius: 6px;
+      border-top: none;
+      box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+      display: block;
+      opacity: 0;
+      pointer-events: none;
+      top: calc(100% + (-4px));
+      transform: translateY(-5px);
+      transition-duration: 86ms;
+      transition-property: opacity, transform; }
+    .navbar-dropdown.is-right {
+      left: auto;
+      right: 0; }
+  .navbar-divider {
+    display: block; }
+  .navbar > .container .navbar-brand,
+  .container > .navbar .navbar-brand {
+    margin-left: -.75rem; }
+  .navbar > .container .navbar-menu,
+  .container > .navbar .navbar-menu {
+    margin-right: -.75rem; }
+  .navbar.is-fixed-bottom-desktop, .navbar.is-fixed-top-desktop {
+    left: 0;
+    position: fixed;
+    right: 0;
+    z-index: 30; }
+  .navbar.is-fixed-bottom-desktop {
+    bottom: 0; }
+    .navbar.is-fixed-bottom-desktop.has-shadow {
+      box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+  .navbar.is-fixed-top-desktop {
+    top: 0; }
+  html.has-navbar-fixed-top-desktop,
+  body.has-navbar-fixed-top-desktop {
+    padding-top: 3.25rem; }
+  html.has-navbar-fixed-bottom-desktop,
+  body.has-navbar-fixed-bottom-desktop {
+    padding-bottom: 3.25rem; }
+  html.has-spaced-navbar-fixed-top,
+  body.has-spaced-navbar-fixed-top {
+    padding-top: 5.25rem; }
+  html.has-spaced-navbar-fixed-bottom,
+  body.has-spaced-navbar-fixed-bottom {
+    padding-bottom: 5.25rem; }
+  a.navbar-item.is-active,
+  .navbar-link.is-active {
+    color: #0a0a0a; }
+  a.navbar-item.is-active:not(:focus):not(:hover),
+  .navbar-link.is-active:not(:focus):not(:hover) {
+    background-color: transparent; }
+  .navbar-item.has-dropdown:focus .navbar-link, .navbar-item.has-dropdown:hover .navbar-link, .navbar-item.has-dropdown.is-active .navbar-link {
+    background-color: #fafafa; } }
+
+.hero.is-fullheight-with-navbar {
+  min-height: calc(100vh - 3.25rem); }
+
+.pagination {
+  font-size: 1rem;
+  margin: -0.25rem; }
+  .pagination.is-small, #documenter .docs-sidebar form.docs-search > input.pagination {
+    font-size: 0.75rem; }
+  .pagination.is-medium {
+    font-size: 1.25rem; }
+  .pagination.is-large {
+    font-size: 1.5rem; }
+  .pagination.is-rounded .pagination-previous, #documenter .docs-sidebar form.docs-search > input.pagination .pagination-previous,
+  .pagination.is-rounded .pagination-next,
+  #documenter .docs-sidebar form.docs-search > input.pagination .pagination-next {
+    padding-left: 1em;
+    padding-right: 1em;
+    border-radius: 290486px; }
+  .pagination.is-rounded .pagination-link, #documenter .docs-sidebar form.docs-search > input.pagination .pagination-link {
+    border-radius: 290486px; }
+
+.pagination,
+.pagination-list {
+  align-items: center;
+  display: flex;
+  justify-content: center;
+  text-align: center; }
+
+.pagination-previous,
+.pagination-next,
+.pagination-link,
+.pagination-ellipsis {
+  font-size: 1em;
+  justify-content: center;
+  margin: 0.25rem;
+  padding-left: 0.5em;
+  padding-right: 0.5em;
+  text-align: center; }
+
+.pagination-previous,
+.pagination-next,
+.pagination-link {
+  border-color: #dbdbdb;
+  color: #363636;
+  min-width: 2.25em; }
+  .pagination-previous:hover,
+  .pagination-next:hover,
+  .pagination-link:hover {
+    border-color: #b5b5b5;
+    color: #363636; }
+  .pagination-previous:focus,
+  .pagination-next:focus,
+  .pagination-link:focus {
+    border-color: #3c5dcd; }
+  .pagination-previous:active,
+  .pagination-next:active,
+  .pagination-link:active {
+    box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2); }
+  .pagination-previous[disabled],
+  .pagination-next[disabled],
+  .pagination-link[disabled] {
+    background-color: #dbdbdb;
+    border-color: #dbdbdb;
+    box-shadow: none;
+    color: #6b6b6b;
+    opacity: 0.5; }
+
+.pagination-previous,
+.pagination-next {
+  padding-left: 0.75em;
+  padding-right: 0.75em;
+  white-space: nowrap; }
+
+.pagination-link.is-current {
+  background-color: #2e63b8;
+  border-color: #2e63b8;
+  color: #fff; }
+
+.pagination-ellipsis {
+  color: #b5b5b5;
+  pointer-events: none; }
+
+.pagination-list {
+  flex-wrap: wrap; }
+
+@media screen and (max-width: 768px) {
+  .pagination {
+    flex-wrap: wrap; }
+  .pagination-previous,
+  .pagination-next {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .pagination-list li {
+    flex-grow: 1;
+    flex-shrink: 1; } }
+
+@media screen and (min-width: 769px), print {
+  .pagination-list {
+    flex-grow: 1;
+    flex-shrink: 1;
+    justify-content: flex-start;
+    order: 1; }
+  .pagination-previous {
+    order: 2; }
+  .pagination-next {
+    order: 3; }
+  .pagination {
+    justify-content: space-between; }
+    .pagination.is-centered .pagination-previous {
+      order: 1; }
+    .pagination.is-centered .pagination-list {
+      justify-content: center;
+      order: 2; }
+    .pagination.is-centered .pagination-next {
+      order: 3; }
+    .pagination.is-right .pagination-previous {
+      order: 1; }
+    .pagination.is-right .pagination-next {
+      order: 2; }
+    .pagination.is-right .pagination-list {
+      justify-content: flex-end;
+      order: 3; } }
+
+.panel {
+  font-size: 1rem; }
+  .panel:not(:last-child) {
+    margin-bottom: 1.5rem; }
+
+.panel-heading,
+.panel-tabs,
+.panel-block {
+  border-bottom: 1px solid #dbdbdb;
+  border-left: 1px solid #dbdbdb;
+  border-right: 1px solid #dbdbdb; }
+  .panel-heading:first-child,
+  .panel-tabs:first-child,
+  .panel-block:first-child {
+    border-top: 1px solid #dbdbdb; }
+
+.panel-heading {
+  background-color: whitesmoke;
+  border-radius: 4px 4px 0 0;
+  color: #222222;
+  font-size: 1.25em;
+  font-weight: 300;
+  line-height: 1.25;
+  padding: 0.5em 0.75em; }
+
+.panel-tabs {
+  align-items: flex-end;
+  display: flex;
+  font-size: 0.875em;
+  justify-content: center; }
+  .panel-tabs a {
+    border-bottom: 1px solid #dbdbdb;
+    margin-bottom: -1px;
+    padding: 0.5em; }
+    .panel-tabs a.is-active {
+      border-bottom-color: #4a4a4a;
+      color: #363636; }
+
+.panel-list a {
+  color: #222222; }
+  .panel-list a:hover {
+    color: #2e63b8; }
+
+.panel-block {
+  align-items: center;
+  color: #222222;
+  display: flex;
+  justify-content: flex-start;
+  padding: 0.5em 0.75em; }
+  .panel-block input[type="checkbox"] {
+    margin-right: 0.75em; }
+  .panel-block > .control {
+    flex-grow: 1;
+    flex-shrink: 1;
+    width: 100%; }
+  .panel-block.is-wrapped {
+    flex-wrap: wrap; }
+  .panel-block.is-active {
+    border-left-color: #2e63b8;
+    color: #363636; }
+    .panel-block.is-active .panel-icon {
+      color: #2e63b8; }
+
+a.panel-block,
+label.panel-block {
+  cursor: pointer; }
+  a.panel-block:hover,
+  label.panel-block:hover {
+    background-color: whitesmoke; }
+
+.panel-icon {
+  display: inline-block;
+  font-size: 14px;
+  height: 1em;
+  line-height: 1em;
+  text-align: center;
+  vertical-align: top;
+  width: 1em;
+  color: #6b6b6b;
+  margin-right: 0.75em; }
+  .panel-icon .fa {
+    font-size: inherit;
+    line-height: inherit; }
+
+.tabs {
+  -webkit-overflow-scrolling: touch;
+  align-items: stretch;
+  display: flex;
+  font-size: 1rem;
+  justify-content: space-between;
+  overflow: hidden;
+  overflow-x: auto;
+  white-space: nowrap; }
+  .tabs a {
+    align-items: center;
+    border-bottom-color: #dbdbdb;
+    border-bottom-style: solid;
+    border-bottom-width: 1px;
+    color: #222222;
+    display: flex;
+    justify-content: center;
+    margin-bottom: -1px;
+    padding: 0.5em 1em;
+    vertical-align: top; }
+    .tabs a:hover {
+      border-bottom-color: #222222;
+      color: #222222; }
+  .tabs li {
+    display: block; }
+    .tabs li.is-active a {
+      border-bottom-color: #2e63b8;
+      color: #2e63b8; }
+  .tabs ul {
+    align-items: center;
+    border-bottom-color: #dbdbdb;
+    border-bottom-style: solid;
+    border-bottom-width: 1px;
+    display: flex;
+    flex-grow: 1;
+    flex-shrink: 0;
+    justify-content: flex-start; }
+    .tabs ul.is-left {
+      padding-right: 0.75em; }
+    .tabs ul.is-center {
+      flex: none;
+      justify-content: center;
+      padding-left: 0.75em;
+      padding-right: 0.75em; }
+    .tabs ul.is-right {
+      justify-content: flex-end;
+      padding-left: 0.75em; }
+  .tabs .icon:first-child {
+    margin-right: 0.5em; }
+  .tabs .icon:last-child {
+    margin-left: 0.5em; }
+  .tabs.is-centered ul {
+    justify-content: center; }
+  .tabs.is-right ul {
+    justify-content: flex-end; }
+  .tabs.is-boxed a {
+    border: 1px solid transparent;
+    border-radius: 4px 4px 0 0; }
+    .tabs.is-boxed a:hover {
+      background-color: whitesmoke;
+      border-bottom-color: #dbdbdb; }
+  .tabs.is-boxed li.is-active a {
+    background-color: white;
+    border-color: #dbdbdb;
+    border-bottom-color: transparent !important; }
+  .tabs.is-fullwidth li {
+    flex-grow: 1;
+    flex-shrink: 0; }
+  .tabs.is-toggle a {
+    border-color: #dbdbdb;
+    border-style: solid;
+    border-width: 1px;
+    margin-bottom: 0;
+    position: relative; }
+    .tabs.is-toggle a:hover {
+      background-color: whitesmoke;
+      border-color: #b5b5b5;
+      z-index: 2; }
+  .tabs.is-toggle li + li {
+    margin-left: -1px; }
+  .tabs.is-toggle li:first-child a {
+    border-radius: 4px 0 0 4px; }
+  .tabs.is-toggle li:last-child a {
+    border-radius: 0 4px 4px 0; }
+  .tabs.is-toggle li.is-active a {
+    background-color: #2e63b8;
+    border-color: #2e63b8;
+    color: #fff;
+    z-index: 1; }
+  .tabs.is-toggle ul {
+    border-bottom: none; }
+  .tabs.is-toggle.is-toggle-rounded li:first-child a {
+    border-bottom-left-radius: 290486px;
+    border-top-left-radius: 290486px;
+    padding-left: 1.25em; }
+  .tabs.is-toggle.is-toggle-rounded li:last-child a {
+    border-bottom-right-radius: 290486px;
+    border-top-right-radius: 290486px;
+    padding-right: 1.25em; }
+  .tabs.is-small, #documenter .docs-sidebar form.docs-search > input.tabs {
+    font-size: 0.75rem; }
+  .tabs.is-medium {
+    font-size: 1.25rem; }
+  .tabs.is-large {
+    font-size: 1.5rem; }
+
+.column {
+  display: block;
+  flex-basis: 0;
+  flex-grow: 1;
+  flex-shrink: 1;
+  padding: 0.75rem; }
+  .columns.is-mobile > .column.is-narrow {
+    flex: none; }
+  .columns.is-mobile > .column.is-full {
+    flex: none;
+    width: 100%; }
+  .columns.is-mobile > .column.is-three-quarters {
+    flex: none;
+    width: 75%; }
+  .columns.is-mobile > .column.is-two-thirds {
+    flex: none;
+    width: 66.6666%; }
+  .columns.is-mobile > .column.is-half {
+    flex: none;
+    width: 50%; }
+  .columns.is-mobile > .column.is-one-third {
+    flex: none;
+    width: 33.3333%; }
+  .columns.is-mobile > .column.is-one-quarter {
+    flex: none;
+    width: 25%; }
+  .columns.is-mobile > .column.is-one-fifth {
+    flex: none;
+    width: 20%; }
+  .columns.is-mobile > .column.is-two-fifths {
+    flex: none;
+    width: 40%; }
+  .columns.is-mobile > .column.is-three-fifths {
+    flex: none;
+    width: 60%; }
+  .columns.is-mobile > .column.is-four-fifths {
+    flex: none;
+    width: 80%; }
+  .columns.is-mobile > .column.is-offset-three-quarters {
+    margin-left: 75%; }
+  .columns.is-mobile > .column.is-offset-two-thirds {
+    margin-left: 66.6666%; }
+  .columns.is-mobile > .column.is-offset-half {
+    margin-left: 50%; }
+  .columns.is-mobile > .column.is-offset-one-third {
+    margin-left: 33.3333%; }
+  .columns.is-mobile > .column.is-offset-one-quarter {
+    margin-left: 25%; }
+  .columns.is-mobile > .column.is-offset-one-fifth {
+    margin-left: 20%; }
+  .columns.is-mobile > .column.is-offset-two-fifths {
+    margin-left: 40%; }
+  .columns.is-mobile > .column.is-offset-three-fifths {
+    margin-left: 60%; }
+  .columns.is-mobile > .column.is-offset-four-fifths {
+    margin-left: 80%; }
+  .columns.is-mobile > .column.is-0 {
+    flex: none;
+    width: 0%; }
+  .columns.is-mobile > .column.is-offset-0 {
+    margin-left: 0%; }
+  .columns.is-mobile > .column.is-1 {
+    flex: none;
+    width: 8.3333333333%; }
+  .columns.is-mobile > .column.is-offset-1 {
+    margin-left: 8.3333333333%; }
+  .columns.is-mobile > .column.is-2 {
+    flex: none;
+    width: 16.6666666667%; }
+  .columns.is-mobile > .column.is-offset-2 {
+    margin-left: 16.6666666667%; }
+  .columns.is-mobile > .column.is-3 {
+    flex: none;
+    width: 25%; }
+  .columns.is-mobile > .column.is-offset-3 {
+    margin-left: 25%; }
+  .columns.is-mobile > .column.is-4 {
+    flex: none;
+    width: 33.3333333333%; }
+  .columns.is-mobile > .column.is-offset-4 {
+    margin-left: 33.3333333333%; }
+  .columns.is-mobile > .column.is-5 {
+    flex: none;
+    width: 41.6666666667%; }
+  .columns.is-mobile > .column.is-offset-5 {
+    margin-left: 41.6666666667%; }
+  .columns.is-mobile > .column.is-6 {
+    flex: none;
+    width: 50%; }
+  .columns.is-mobile > .column.is-offset-6 {
+    margin-left: 50%; }
+  .columns.is-mobile > .column.is-7 {
+    flex: none;
+    width: 58.3333333333%; }
+  .columns.is-mobile > .column.is-offset-7 {
+    margin-left: 58.3333333333%; }
+  .columns.is-mobile > .column.is-8 {
+    flex: none;
+    width: 66.6666666667%; }
+  .columns.is-mobile > .column.is-offset-8 {
+    margin-left: 66.6666666667%; }
+  .columns.is-mobile > .column.is-9 {
+    flex: none;
+    width: 75%; }
+  .columns.is-mobile > .column.is-offset-9 {
+    margin-left: 75%; }
+  .columns.is-mobile > .column.is-10 {
+    flex: none;
+    width: 83.3333333333%; }
+  .columns.is-mobile > .column.is-offset-10 {
+    margin-left: 83.3333333333%; }
+  .columns.is-mobile > .column.is-11 {
+    flex: none;
+    width: 91.6666666667%; }
+  .columns.is-mobile > .column.is-offset-11 {
+    margin-left: 91.6666666667%; }
+  .columns.is-mobile > .column.is-12 {
+    flex: none;
+    width: 100%; }
+  .columns.is-mobile > .column.is-offset-12 {
+    margin-left: 100%; }
+  @media screen and (max-width: 768px) {
+    .column.is-narrow-mobile {
+      flex: none; }
+    .column.is-full-mobile {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-mobile {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-mobile {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-mobile {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-mobile {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-mobile {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-mobile {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-mobile {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-mobile {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-mobile {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-mobile {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-mobile {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-mobile {
+      margin-left: 50%; }
+    .column.is-offset-one-third-mobile {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-mobile {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-mobile {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-mobile {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-mobile {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-mobile {
+      margin-left: 80%; }
+    .column.is-0-mobile {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-mobile {
+      margin-left: 0%; }
+    .column.is-1-mobile {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-mobile {
+      margin-left: 8.3333333333%; }
+    .column.is-2-mobile {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-mobile {
+      margin-left: 16.6666666667%; }
+    .column.is-3-mobile {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-mobile {
+      margin-left: 25%; }
+    .column.is-4-mobile {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-mobile {
+      margin-left: 33.3333333333%; }
+    .column.is-5-mobile {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-mobile {
+      margin-left: 41.6666666667%; }
+    .column.is-6-mobile {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-mobile {
+      margin-left: 50%; }
+    .column.is-7-mobile {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-mobile {
+      margin-left: 58.3333333333%; }
+    .column.is-8-mobile {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-mobile {
+      margin-left: 66.6666666667%; }
+    .column.is-9-mobile {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-mobile {
+      margin-left: 75%; }
+    .column.is-10-mobile {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-mobile {
+      margin-left: 83.3333333333%; }
+    .column.is-11-mobile {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-mobile {
+      margin-left: 91.6666666667%; }
+    .column.is-12-mobile {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-mobile {
+      margin-left: 100%; } }
+  @media screen and (min-width: 769px), print {
+    .column.is-narrow, .column.is-narrow-tablet {
+      flex: none; }
+    .column.is-full, .column.is-full-tablet {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters, .column.is-three-quarters-tablet {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds, .column.is-two-thirds-tablet {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half, .column.is-half-tablet {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third, .column.is-one-third-tablet {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter, .column.is-one-quarter-tablet {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth, .column.is-one-fifth-tablet {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths, .column.is-two-fifths-tablet {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths, .column.is-three-fifths-tablet {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths, .column.is-four-fifths-tablet {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters, .column.is-offset-three-quarters-tablet {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds, .column.is-offset-two-thirds-tablet {
+      margin-left: 66.6666%; }
+    .column.is-offset-half, .column.is-offset-half-tablet {
+      margin-left: 50%; }
+    .column.is-offset-one-third, .column.is-offset-one-third-tablet {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter, .column.is-offset-one-quarter-tablet {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth, .column.is-offset-one-fifth-tablet {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths, .column.is-offset-two-fifths-tablet {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths, .column.is-offset-three-fifths-tablet {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths, .column.is-offset-four-fifths-tablet {
+      margin-left: 80%; }
+    .column.is-0, .column.is-0-tablet {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0, .column.is-offset-0-tablet {
+      margin-left: 0%; }
+    .column.is-1, .column.is-1-tablet {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1, .column.is-offset-1-tablet {
+      margin-left: 8.3333333333%; }
+    .column.is-2, .column.is-2-tablet {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2, .column.is-offset-2-tablet {
+      margin-left: 16.6666666667%; }
+    .column.is-3, .column.is-3-tablet {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3, .column.is-offset-3-tablet {
+      margin-left: 25%; }
+    .column.is-4, .column.is-4-tablet {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4, .column.is-offset-4-tablet {
+      margin-left: 33.3333333333%; }
+    .column.is-5, .column.is-5-tablet {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5, .column.is-offset-5-tablet {
+      margin-left: 41.6666666667%; }
+    .column.is-6, .column.is-6-tablet {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6, .column.is-offset-6-tablet {
+      margin-left: 50%; }
+    .column.is-7, .column.is-7-tablet {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7, .column.is-offset-7-tablet {
+      margin-left: 58.3333333333%; }
+    .column.is-8, .column.is-8-tablet {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8, .column.is-offset-8-tablet {
+      margin-left: 66.6666666667%; }
+    .column.is-9, .column.is-9-tablet {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9, .column.is-offset-9-tablet {
+      margin-left: 75%; }
+    .column.is-10, .column.is-10-tablet {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10, .column.is-offset-10-tablet {
+      margin-left: 83.3333333333%; }
+    .column.is-11, .column.is-11-tablet {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11, .column.is-offset-11-tablet {
+      margin-left: 91.6666666667%; }
+    .column.is-12, .column.is-12-tablet {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12, .column.is-offset-12-tablet {
+      margin-left: 100%; } }
+  @media screen and (max-width: 1055px) {
+    .column.is-narrow-touch {
+      flex: none; }
+    .column.is-full-touch {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-touch {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-touch {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-touch {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-touch {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-touch {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-touch {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-touch {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-touch {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-touch {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-touch {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-touch {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-touch {
+      margin-left: 50%; }
+    .column.is-offset-one-third-touch {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-touch {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-touch {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-touch {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-touch {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-touch {
+      margin-left: 80%; }
+    .column.is-0-touch {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-touch {
+      margin-left: 0%; }
+    .column.is-1-touch {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-touch {
+      margin-left: 8.3333333333%; }
+    .column.is-2-touch {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-touch {
+      margin-left: 16.6666666667%; }
+    .column.is-3-touch {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-touch {
+      margin-left: 25%; }
+    .column.is-4-touch {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-touch {
+      margin-left: 33.3333333333%; }
+    .column.is-5-touch {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-touch {
+      margin-left: 41.6666666667%; }
+    .column.is-6-touch {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-touch {
+      margin-left: 50%; }
+    .column.is-7-touch {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-touch {
+      margin-left: 58.3333333333%; }
+    .column.is-8-touch {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-touch {
+      margin-left: 66.6666666667%; }
+    .column.is-9-touch {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-touch {
+      margin-left: 75%; }
+    .column.is-10-touch {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-touch {
+      margin-left: 83.3333333333%; }
+    .column.is-11-touch {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-touch {
+      margin-left: 91.6666666667%; }
+    .column.is-12-touch {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-touch {
+      margin-left: 100%; } }
+  @media screen and (min-width: 1056px) {
+    .column.is-narrow-desktop {
+      flex: none; }
+    .column.is-full-desktop {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-desktop {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-desktop {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-desktop {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-desktop {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-desktop {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-desktop {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-desktop {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-desktop {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-desktop {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-desktop {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-desktop {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-desktop {
+      margin-left: 50%; }
+    .column.is-offset-one-third-desktop {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-desktop {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-desktop {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-desktop {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-desktop {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-desktop {
+      margin-left: 80%; }
+    .column.is-0-desktop {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-desktop {
+      margin-left: 0%; }
+    .column.is-1-desktop {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-desktop {
+      margin-left: 8.3333333333%; }
+    .column.is-2-desktop {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-desktop {
+      margin-left: 16.6666666667%; }
+    .column.is-3-desktop {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-desktop {
+      margin-left: 25%; }
+    .column.is-4-desktop {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-desktop {
+      margin-left: 33.3333333333%; }
+    .column.is-5-desktop {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-desktop {
+      margin-left: 41.6666666667%; }
+    .column.is-6-desktop {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-desktop {
+      margin-left: 50%; }
+    .column.is-7-desktop {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-desktop {
+      margin-left: 58.3333333333%; }
+    .column.is-8-desktop {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-desktop {
+      margin-left: 66.6666666667%; }
+    .column.is-9-desktop {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-desktop {
+      margin-left: 75%; }
+    .column.is-10-desktop {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-desktop {
+      margin-left: 83.3333333333%; }
+    .column.is-11-desktop {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-desktop {
+      margin-left: 91.6666666667%; }
+    .column.is-12-desktop {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-desktop {
+      margin-left: 100%; } }
+  @media screen and (min-width: 1216px) {
+    .column.is-narrow-widescreen {
+      flex: none; }
+    .column.is-full-widescreen {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-widescreen {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-widescreen {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-widescreen {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-widescreen {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-widescreen {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-widescreen {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-widescreen {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-widescreen {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-widescreen {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-widescreen {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-widescreen {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-widescreen {
+      margin-left: 50%; }
+    .column.is-offset-one-third-widescreen {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-widescreen {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-widescreen {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-widescreen {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-widescreen {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-widescreen {
+      margin-left: 80%; }
+    .column.is-0-widescreen {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-widescreen {
+      margin-left: 0%; }
+    .column.is-1-widescreen {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-widescreen {
+      margin-left: 8.3333333333%; }
+    .column.is-2-widescreen {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-widescreen {
+      margin-left: 16.6666666667%; }
+    .column.is-3-widescreen {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-widescreen {
+      margin-left: 25%; }
+    .column.is-4-widescreen {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-widescreen {
+      margin-left: 33.3333333333%; }
+    .column.is-5-widescreen {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-widescreen {
+      margin-left: 41.6666666667%; }
+    .column.is-6-widescreen {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-widescreen {
+      margin-left: 50%; }
+    .column.is-7-widescreen {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-widescreen {
+      margin-left: 58.3333333333%; }
+    .column.is-8-widescreen {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-widescreen {
+      margin-left: 66.6666666667%; }
+    .column.is-9-widescreen {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-widescreen {
+      margin-left: 75%; }
+    .column.is-10-widescreen {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-widescreen {
+      margin-left: 83.3333333333%; }
+    .column.is-11-widescreen {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-widescreen {
+      margin-left: 91.6666666667%; }
+    .column.is-12-widescreen {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-widescreen {
+      margin-left: 100%; } }
+  @media screen and (min-width: 1408px) {
+    .column.is-narrow-fullhd {
+      flex: none; }
+    .column.is-full-fullhd {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-fullhd {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-fullhd {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-fullhd {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-fullhd {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-fullhd {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-fullhd {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-fullhd {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-fullhd {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-fullhd {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-fullhd {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-fullhd {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-fullhd {
+      margin-left: 50%; }
+    .column.is-offset-one-third-fullhd {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-fullhd {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-fullhd {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-fullhd {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-fullhd {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-fullhd {
+      margin-left: 80%; }
+    .column.is-0-fullhd {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-fullhd {
+      margin-left: 0%; }
+    .column.is-1-fullhd {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-fullhd {
+      margin-left: 8.3333333333%; }
+    .column.is-2-fullhd {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-fullhd {
+      margin-left: 16.6666666667%; }
+    .column.is-3-fullhd {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-fullhd {
+      margin-left: 25%; }
+    .column.is-4-fullhd {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-fullhd {
+      margin-left: 33.3333333333%; }
+    .column.is-5-fullhd {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-fullhd {
+      margin-left: 41.6666666667%; }
+    .column.is-6-fullhd {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-fullhd {
+      margin-left: 50%; }
+    .column.is-7-fullhd {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-fullhd {
+      margin-left: 58.3333333333%; }
+    .column.is-8-fullhd {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-fullhd {
+      margin-left: 66.6666666667%; }
+    .column.is-9-fullhd {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-fullhd {
+      margin-left: 75%; }
+    .column.is-10-fullhd {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-fullhd {
+      margin-left: 83.3333333333%; }
+    .column.is-11-fullhd {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-fullhd {
+      margin-left: 91.6666666667%; }
+    .column.is-12-fullhd {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-fullhd {
+      margin-left: 100%; } }
+.columns {
+  margin-left: -0.75rem;
+  margin-right: -0.75rem;
+  margin-top: -0.75rem; }
+  .columns:last-child {
+    margin-bottom: -0.75rem; }
+  .columns:not(:last-child) {
+    margin-bottom: calc(1.5rem - 0.75rem); }
+  .columns.is-centered {
+    justify-content: center; }
+  .columns.is-gapless {
+    margin-left: 0;
+    margin-right: 0;
+    margin-top: 0; }
+    .columns.is-gapless > .column {
+      margin: 0;
+      padding: 0 !important; }
+    .columns.is-gapless:not(:last-child) {
+      margin-bottom: 1.5rem; }
+    .columns.is-gapless:last-child {
+      margin-bottom: 0; }
+  .columns.is-mobile {
+    display: flex; }
+  .columns.is-multiline {
+    flex-wrap: wrap; }
+  .columns.is-vcentered {
+    align-items: center; }
+  @media screen and (min-width: 769px), print {
+    .columns:not(.is-desktop) {
+      display: flex; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-desktop {
+      display: flex; } }
+.columns.is-variable {
+  --columnGap: 0.75rem;
+  margin-left: calc(-1 * var(--columnGap));
+  margin-right: calc(-1 * var(--columnGap)); }
+  .columns.is-variable .column {
+    padding-left: var(--columnGap);
+    padding-right: var(--columnGap); }
+  .columns.is-variable.is-0 {
+    --columnGap: 0rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-0-mobile {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-0-tablet {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-0-tablet-only {
+      --columnGap: 0rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-0-touch {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-0-desktop {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-0-desktop-only {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-0-widescreen {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-0-widescreen-only {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-0-fullhd {
+      --columnGap: 0rem; } }
+  .columns.is-variable.is-1 {
+    --columnGap: 0.25rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-1-mobile {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-1-tablet {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-1-tablet-only {
+      --columnGap: 0.25rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-1-touch {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-1-desktop {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-1-desktop-only {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-1-widescreen {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-1-widescreen-only {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-1-fullhd {
+      --columnGap: 0.25rem; } }
+  .columns.is-variable.is-2 {
+    --columnGap: 0.5rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-2-mobile {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-2-tablet {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-2-tablet-only {
+      --columnGap: 0.5rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-2-touch {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-2-desktop {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-2-desktop-only {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-2-widescreen {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-2-widescreen-only {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-2-fullhd {
+      --columnGap: 0.5rem; } }
+  .columns.is-variable.is-3 {
+    --columnGap: 0.75rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-3-mobile {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-3-tablet {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-3-tablet-only {
+      --columnGap: 0.75rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-3-touch {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-3-desktop {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-3-desktop-only {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-3-widescreen {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-3-widescreen-only {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-3-fullhd {
+      --columnGap: 0.75rem; } }
+  .columns.is-variable.is-4 {
+    --columnGap: 1rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-4-mobile {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-4-tablet {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-4-tablet-only {
+      --columnGap: 1rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-4-touch {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-4-desktop {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-4-desktop-only {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-4-widescreen {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-4-widescreen-only {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-4-fullhd {
+      --columnGap: 1rem; } }
+  .columns.is-variable.is-5 {
+    --columnGap: 1.25rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-5-mobile {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-5-tablet {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-5-tablet-only {
+      --columnGap: 1.25rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-5-touch {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-5-desktop {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-5-desktop-only {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-5-widescreen {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-5-widescreen-only {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-5-fullhd {
+      --columnGap: 1.25rem; } }
+  .columns.is-variable.is-6 {
+    --columnGap: 1.5rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-6-mobile {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-6-tablet {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-6-tablet-only {
+      --columnGap: 1.5rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-6-touch {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-6-desktop {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-6-desktop-only {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-6-widescreen {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-6-widescreen-only {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-6-fullhd {
+      --columnGap: 1.5rem; } }
+  .columns.is-variable.is-7 {
+    --columnGap: 1.75rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-7-mobile {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-7-tablet {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-7-tablet-only {
+      --columnGap: 1.75rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-7-touch {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-7-desktop {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-7-desktop-only {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-7-widescreen {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-7-widescreen-only {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-7-fullhd {
+      --columnGap: 1.75rem; } }
+  .columns.is-variable.is-8 {
+    --columnGap: 2rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-8-mobile {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-8-tablet {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-8-tablet-only {
+      --columnGap: 2rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-8-touch {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-8-desktop {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-8-desktop-only {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-8-widescreen {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-8-widescreen-only {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-8-fullhd {
+      --columnGap: 2rem; } }
+.tile {
+  align-items: stretch;
+  display: block;
+  flex-basis: 0;
+  flex-grow: 1;
+  flex-shrink: 1;
+  min-height: min-content; }
+  .tile.is-ancestor {
+    margin-left: -0.75rem;
+    margin-right: -0.75rem;
+    margin-top: -0.75rem; }
+    .tile.is-ancestor:last-child {
+      margin-bottom: -0.75rem; }
+    .tile.is-ancestor:not(:last-child) {
+      margin-bottom: 0.75rem; }
+  .tile.is-child {
+    margin: 0 !important; }
+  .tile.is-parent {
+    padding: 0.75rem; }
+  .tile.is-vertical {
+    flex-direction: column; }
+    .tile.is-vertical > .tile.is-child:not(:last-child) {
+      margin-bottom: 1.5rem !important; }
+  @media screen and (min-width: 769px), print {
+    .tile:not(.is-child) {
+      display: flex; }
+    .tile.is-1 {
+      flex: none;
+      width: 8.3333333333%; }
+    .tile.is-2 {
+      flex: none;
+      width: 16.6666666667%; }
+    .tile.is-3 {
+      flex: none;
+      width: 25%; }
+    .tile.is-4 {
+      flex: none;
+      width: 33.3333333333%; }
+    .tile.is-5 {
+      flex: none;
+      width: 41.6666666667%; }
+    .tile.is-6 {
+      flex: none;
+      width: 50%; }
+    .tile.is-7 {
+      flex: none;
+      width: 58.3333333333%; }
+    .tile.is-8 {
+      flex: none;
+      width: 66.6666666667%; }
+    .tile.is-9 {
+      flex: none;
+      width: 75%; }
+    .tile.is-10 {
+      flex: none;
+      width: 83.3333333333%; }
+    .tile.is-11 {
+      flex: none;
+      width: 91.6666666667%; }
+    .tile.is-12 {
+      flex: none;
+      width: 100%; } }
+.hero {
+  align-items: stretch;
+  display: flex;
+  flex-direction: column;
+  justify-content: space-between; }
+  .hero .navbar {
+    background: none; }
+  .hero .tabs ul {
+    border-bottom: none; }
+  .hero.is-white {
+    background-color: white;
+    color: #0a0a0a; }
+    .hero.is-white a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-white strong {
+      color: inherit; }
+    .hero.is-white .title {
+      color: #0a0a0a; }
+    .hero.is-white .subtitle {
+      color: rgba(10, 10, 10, 0.9); }
+      .hero.is-white .subtitle a:not(.button),
+      .hero.is-white .subtitle strong {
+        color: #0a0a0a; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-white .navbar-menu {
+        background-color: white; } }
+    .hero.is-white .navbar-item,
+    .hero.is-white .navbar-link {
+      color: rgba(10, 10, 10, 0.7); }
+    .hero.is-white a.navbar-item:hover, .hero.is-white a.navbar-item.is-active,
+    .hero.is-white .navbar-link:hover,
+    .hero.is-white .navbar-link.is-active {
+      background-color: #f2f2f2;
+      color: #0a0a0a; }
+    .hero.is-white .tabs a {
+      color: #0a0a0a;
+      opacity: 0.9; }
+      .hero.is-white .tabs a:hover {
+        opacity: 1; }
+    .hero.is-white .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-white .tabs.is-boxed a, .hero.is-white .tabs.is-toggle a {
+      color: #0a0a0a; }
+      .hero.is-white .tabs.is-boxed a:hover, .hero.is-white .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-white .tabs.is-boxed li.is-active a, .hero.is-white .tabs.is-boxed li.is-active a:hover, .hero.is-white .tabs.is-toggle li.is-active a, .hero.is-white .tabs.is-toggle li.is-active a:hover {
+      background-color: #0a0a0a;
+      border-color: #0a0a0a;
+      color: white; }
+    .hero.is-white.is-bold {
+      background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-white.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); } }
+  .hero.is-black {
+    background-color: #0a0a0a;
+    color: white; }
+    .hero.is-black a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-black strong {
+      color: inherit; }
+    .hero.is-black .title {
+      color: white; }
+    .hero.is-black .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-black .subtitle a:not(.button),
+      .hero.is-black .subtitle strong {
+        color: white; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-black .navbar-menu {
+        background-color: #0a0a0a; } }
+    .hero.is-black .navbar-item,
+    .hero.is-black .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-black a.navbar-item:hover, .hero.is-black a.navbar-item.is-active,
+    .hero.is-black .navbar-link:hover,
+    .hero.is-black .navbar-link.is-active {
+      background-color: black;
+      color: white; }
+    .hero.is-black .tabs a {
+      color: white;
+      opacity: 0.9; }
+      .hero.is-black .tabs a:hover {
+        opacity: 1; }
+    .hero.is-black .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-black .tabs.is-boxed a, .hero.is-black .tabs.is-toggle a {
+      color: white; }
+      .hero.is-black .tabs.is-boxed a:hover, .hero.is-black .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-black .tabs.is-boxed li.is-active a, .hero.is-black .tabs.is-boxed li.is-active a:hover, .hero.is-black .tabs.is-toggle li.is-active a, .hero.is-black .tabs.is-toggle li.is-active a:hover {
+      background-color: white;
+      border-color: white;
+      color: #0a0a0a; }
+    .hero.is-black.is-bold {
+      background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-black.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } }
+  .hero.is-light {
+    background-color: whitesmoke;
+    color: #363636; }
+    .hero.is-light a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-light strong {
+      color: inherit; }
+    .hero.is-light .title {
+      color: #363636; }
+    .hero.is-light .subtitle {
+      color: rgba(54, 54, 54, 0.9); }
+      .hero.is-light .subtitle a:not(.button),
+      .hero.is-light .subtitle strong {
+        color: #363636; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-light .navbar-menu {
+        background-color: whitesmoke; } }
+    .hero.is-light .navbar-item,
+    .hero.is-light .navbar-link {
+      color: rgba(54, 54, 54, 0.7); }
+    .hero.is-light a.navbar-item:hover, .hero.is-light a.navbar-item.is-active,
+    .hero.is-light .navbar-link:hover,
+    .hero.is-light .navbar-link.is-active {
+      background-color: #e8e8e8;
+      color: #363636; }
+    .hero.is-light .tabs a {
+      color: #363636;
+      opacity: 0.9; }
+      .hero.is-light .tabs a:hover {
+        opacity: 1; }
+    .hero.is-light .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-light .tabs.is-boxed a, .hero.is-light .tabs.is-toggle a {
+      color: #363636; }
+      .hero.is-light .tabs.is-boxed a:hover, .hero.is-light .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-light .tabs.is-boxed li.is-active a, .hero.is-light .tabs.is-boxed li.is-active a:hover, .hero.is-light .tabs.is-toggle li.is-active a, .hero.is-light .tabs.is-toggle li.is-active a:hover {
+      background-color: #363636;
+      border-color: #363636;
+      color: whitesmoke; }
+    .hero.is-light.is-bold {
+      background-image: linear-gradient(141deg, #dfd8d9 0%, whitesmoke 71%, white 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-light.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #dfd8d9 0%, whitesmoke 71%, white 100%); } }
+  .hero.is-dark, .content kbd.hero {
+    background-color: #363636;
+    color: whitesmoke; }
+    .hero.is-dark a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), .content kbd.hero a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-dark strong,
+    .content kbd.hero strong {
+      color: inherit; }
+    .hero.is-dark .title, .content kbd.hero .title {
+      color: whitesmoke; }
+    .hero.is-dark .subtitle, .content kbd.hero .subtitle {
+      color: rgba(245, 245, 245, 0.9); }
+      .hero.is-dark .subtitle a:not(.button), .content kbd.hero .subtitle a:not(.button),
+      .hero.is-dark .subtitle strong,
+      .content kbd.hero .subtitle strong {
+        color: whitesmoke; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-dark .navbar-menu, .content kbd.hero .navbar-menu {
+        background-color: #363636; } }
+    .hero.is-dark .navbar-item, .content kbd.hero .navbar-item,
+    .hero.is-dark .navbar-link,
+    .content kbd.hero .navbar-link {
+      color: rgba(245, 245, 245, 0.7); }
+    .hero.is-dark a.navbar-item:hover, .content kbd.hero a.navbar-item:hover, .hero.is-dark a.navbar-item.is-active, .content kbd.hero a.navbar-item.is-active,
+    .hero.is-dark .navbar-link:hover,
+    .content kbd.hero .navbar-link:hover,
+    .hero.is-dark .navbar-link.is-active,
+    .content kbd.hero .navbar-link.is-active {
+      background-color: #292929;
+      color: whitesmoke; }
+    .hero.is-dark .tabs a, .content kbd.hero .tabs a {
+      color: whitesmoke;
+      opacity: 0.9; }
+      .hero.is-dark .tabs a:hover, .content kbd.hero .tabs a:hover {
+        opacity: 1; }
+    .hero.is-dark .tabs li.is-active a, .content kbd.hero .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-dark .tabs.is-boxed a, .content kbd.hero .tabs.is-boxed a, .hero.is-dark .tabs.is-toggle a, .content kbd.hero .tabs.is-toggle a {
+      color: whitesmoke; }
+      .hero.is-dark .tabs.is-boxed a:hover, .content kbd.hero .tabs.is-boxed a:hover, .hero.is-dark .tabs.is-toggle a:hover, .content kbd.hero .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-dark .tabs.is-boxed li.is-active a, .content kbd.hero .tabs.is-boxed li.is-active a, .hero.is-dark .tabs.is-boxed li.is-active a:hover, .hero.is-dark .tabs.is-toggle li.is-active a, .content kbd.hero .tabs.is-toggle li.is-active a, .hero.is-dark .tabs.is-toggle li.is-active a:hover {
+      background-color: whitesmoke;
+      border-color: whitesmoke;
+      color: #363636; }
+    .hero.is-dark.is-bold, .content kbd.hero.is-bold {
+      background-image: linear-gradient(141deg, #1f191a 0%, #363636 71%, #46403f 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-dark.is-bold .navbar-menu, .content kbd.hero.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #1f191a 0%, #363636 71%, #46403f 100%); } }
+  .hero.is-primary, .docstring > section > a.hero.docs-sourcelink {
+    background-color: #4eb5de;
+    color: #fff; }
+    .hero.is-primary a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), .docstring > section > a.hero.docs-sourcelink a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-primary strong,
+    .docstring > section > a.hero.docs-sourcelink strong {
+      color: inherit; }
+    .hero.is-primary .title, .docstring > section > a.hero.docs-sourcelink .title {
+      color: #fff; }
+    .hero.is-primary .subtitle, .docstring > section > a.hero.docs-sourcelink .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-primary .subtitle a:not(.button), .docstring > section > a.hero.docs-sourcelink .subtitle a:not(.button),
+      .hero.is-primary .subtitle strong,
+      .docstring > section > a.hero.docs-sourcelink .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-primary .navbar-menu, .docstring > section > a.hero.docs-sourcelink .navbar-menu {
+        background-color: #4eb5de; } }
+    .hero.is-primary .navbar-item, .docstring > section > a.hero.docs-sourcelink .navbar-item,
+    .hero.is-primary .navbar-link,
+    .docstring > section > a.hero.docs-sourcelink .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-primary a.navbar-item:hover, .docstring > section > a.hero.docs-sourcelink a.navbar-item:hover, .hero.is-primary a.navbar-item.is-active, .docstring > section > a.hero.docs-sourcelink a.navbar-item.is-active,
+    .hero.is-primary .navbar-link:hover,
+    .docstring > section > a.hero.docs-sourcelink .navbar-link:hover,
+    .hero.is-primary .navbar-link.is-active,
+    .docstring > section > a.hero.docs-sourcelink .navbar-link.is-active {
+      background-color: #39acda;
+      color: #fff; }
+    .hero.is-primary .tabs a, .docstring > section > a.hero.docs-sourcelink .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-primary .tabs a:hover, .docstring > section > a.hero.docs-sourcelink .tabs a:hover {
+        opacity: 1; }
+    .hero.is-primary .tabs li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-primary .tabs.is-boxed a, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a, .hero.is-primary .tabs.is-toggle a, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-primary .tabs.is-boxed a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a:hover, .hero.is-primary .tabs.is-toggle a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-primary .tabs.is-boxed li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a, .hero.is-primary .tabs.is-boxed li.is-active a:hover, .hero.is-primary .tabs.is-toggle li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a, .hero.is-primary .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #4eb5de; }
+    .hero.is-primary.is-bold, .docstring > section > a.hero.is-bold.docs-sourcelink {
+      background-image: linear-gradient(141deg, #1bc7de 0%, #4eb5de 71%, #5fa9e7 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-primary.is-bold .navbar-menu, .docstring > section > a.hero.is-bold.docs-sourcelink .navbar-menu {
+          background-image: linear-gradient(141deg, #1bc7de 0%, #4eb5de 71%, #5fa9e7 100%); } }
+  .hero.is-link {
+    background-color: #2e63b8;
+    color: #fff; }
+    .hero.is-link a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-link strong {
+      color: inherit; }
+    .hero.is-link .title {
+      color: #fff; }
+    .hero.is-link .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-link .subtitle a:not(.button),
+      .hero.is-link .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-link .navbar-menu {
+        background-color: #2e63b8; } }
+    .hero.is-link .navbar-item,
+    .hero.is-link .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-link a.navbar-item:hover, .hero.is-link a.navbar-item.is-active,
+    .hero.is-link .navbar-link:hover,
+    .hero.is-link .navbar-link.is-active {
+      background-color: #2958a4;
+      color: #fff; }
+    .hero.is-link .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-link .tabs a:hover {
+        opacity: 1; }
+    .hero.is-link .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-link .tabs.is-boxed a, .hero.is-link .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-link .tabs.is-boxed a:hover, .hero.is-link .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-link .tabs.is-boxed li.is-active a, .hero.is-link .tabs.is-boxed li.is-active a:hover, .hero.is-link .tabs.is-toggle li.is-active a, .hero.is-link .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #2e63b8; }
+    .hero.is-link.is-bold {
+      background-image: linear-gradient(141deg, #1b6098 0%, #2e63b8 71%, #2d51d2 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-link.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #1b6098 0%, #2e63b8 71%, #2d51d2 100%); } }
+  .hero.is-info {
+    background-color: #209cee;
+    color: #fff; }
+    .hero.is-info a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-info strong {
+      color: inherit; }
+    .hero.is-info .title {
+      color: #fff; }
+    .hero.is-info .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-info .subtitle a:not(.button),
+      .hero.is-info .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-info .navbar-menu {
+        background-color: #209cee; } }
+    .hero.is-info .navbar-item,
+    .hero.is-info .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-info a.navbar-item:hover, .hero.is-info a.navbar-item.is-active,
+    .hero.is-info .navbar-link:hover,
+    .hero.is-info .navbar-link.is-active {
+      background-color: #1190e3;
+      color: #fff; }
+    .hero.is-info .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-info .tabs a:hover {
+        opacity: 1; }
+    .hero.is-info .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-info .tabs.is-boxed a, .hero.is-info .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-info .tabs.is-boxed a:hover, .hero.is-info .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-info .tabs.is-boxed li.is-active a, .hero.is-info .tabs.is-boxed li.is-active a:hover, .hero.is-info .tabs.is-toggle li.is-active a, .hero.is-info .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #209cee; }
+    .hero.is-info.is-bold {
+      background-image: linear-gradient(141deg, #05a6d6 0%, #209cee 71%, #3287f5 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-info.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #05a6d6 0%, #209cee 71%, #3287f5 100%); } }
+  .hero.is-success {
+    background-color: #22c35b;
+    color: #fff; }
+    .hero.is-success a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-success strong {
+      color: inherit; }
+    .hero.is-success .title {
+      color: #fff; }
+    .hero.is-success .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-success .subtitle a:not(.button),
+      .hero.is-success .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-success .navbar-menu {
+        background-color: #22c35b; } }
+    .hero.is-success .navbar-item,
+    .hero.is-success .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-success a.navbar-item:hover, .hero.is-success a.navbar-item.is-active,
+    .hero.is-success .navbar-link:hover,
+    .hero.is-success .navbar-link.is-active {
+      background-color: #1ead51;
+      color: #fff; }
+    .hero.is-success .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-success .tabs a:hover {
+        opacity: 1; }
+    .hero.is-success .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-success .tabs.is-boxed a, .hero.is-success .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-success .tabs.is-boxed a:hover, .hero.is-success .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-success .tabs.is-boxed li.is-active a, .hero.is-success .tabs.is-boxed li.is-active a:hover, .hero.is-success .tabs.is-toggle li.is-active a, .hero.is-success .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #22c35b; }
+    .hero.is-success.is-bold {
+      background-image: linear-gradient(141deg, #12a02c 0%, #22c35b 71%, #1fdf83 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-success.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #12a02c 0%, #22c35b 71%, #1fdf83 100%); } }
+  .hero.is-warning {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-warning strong {
+      color: inherit; }
+    .hero.is-warning .title {
+      color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning .subtitle {
+      color: rgba(0, 0, 0, 0.9); }
+      .hero.is-warning .subtitle a:not(.button),
+      .hero.is-warning .subtitle strong {
+        color: rgba(0, 0, 0, 0.7); }
+    @media screen and (max-width: 1055px) {
+      .hero.is-warning .navbar-menu {
+        background-color: #ffdd57; } }
+    .hero.is-warning .navbar-item,
+    .hero.is-warning .navbar-link {
+      color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning a.navbar-item:hover, .hero.is-warning a.navbar-item.is-active,
+    .hero.is-warning .navbar-link:hover,
+    .hero.is-warning .navbar-link.is-active {
+      background-color: #ffd83e;
+      color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning .tabs a {
+      color: rgba(0, 0, 0, 0.7);
+      opacity: 0.9; }
+      .hero.is-warning .tabs a:hover {
+        opacity: 1; }
+    .hero.is-warning .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-warning .tabs.is-boxed a, .hero.is-warning .tabs.is-toggle a {
+      color: rgba(0, 0, 0, 0.7); }
+      .hero.is-warning .tabs.is-boxed a:hover, .hero.is-warning .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-warning .tabs.is-boxed li.is-active a, .hero.is-warning .tabs.is-boxed li.is-active a:hover, .hero.is-warning .tabs.is-toggle li.is-active a, .hero.is-warning .tabs.is-toggle li.is-active a:hover {
+      background-color: rgba(0, 0, 0, 0.7);
+      border-color: rgba(0, 0, 0, 0.7);
+      color: #ffdd57; }
+    .hero.is-warning.is-bold {
+      background-image: linear-gradient(141deg, #ffae24 0%, #ffdd57 71%, #fffa71 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-warning.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #ffae24 0%, #ffdd57 71%, #fffa71 100%); } }
+  .hero.is-danger {
+    background-color: #da0b00;
+    color: #fff; }
+    .hero.is-danger a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-danger strong {
+      color: inherit; }
+    .hero.is-danger .title {
+      color: #fff; }
+    .hero.is-danger .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-danger .subtitle a:not(.button),
+      .hero.is-danger .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-danger .navbar-menu {
+        background-color: #da0b00; } }
+    .hero.is-danger .navbar-item,
+    .hero.is-danger .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-danger a.navbar-item:hover, .hero.is-danger a.navbar-item.is-active,
+    .hero.is-danger .navbar-link:hover,
+    .hero.is-danger .navbar-link.is-active {
+      background-color: #c10a00;
+      color: #fff; }
+    .hero.is-danger .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-danger .tabs a:hover {
+        opacity: 1; }
+    .hero.is-danger .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-danger .tabs.is-boxed a, .hero.is-danger .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-danger .tabs.is-boxed a:hover, .hero.is-danger .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-danger .tabs.is-boxed li.is-active a, .hero.is-danger .tabs.is-boxed li.is-active a:hover, .hero.is-danger .tabs.is-toggle li.is-active a, .hero.is-danger .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #da0b00; }
+    .hero.is-danger.is-bold {
+      background-image: linear-gradient(141deg, #a70013 0%, #da0b00 71%, #f43500 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-danger.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #a70013 0%, #da0b00 71%, #f43500 100%); } }
+  .hero.is-small .hero-body, #documenter .docs-sidebar form.docs-search > input.hero .hero-body {
+    padding-bottom: 1.5rem;
+    padding-top: 1.5rem; }
+  @media screen and (min-width: 769px), print {
+    .hero.is-medium .hero-body {
+      padding-bottom: 9rem;
+      padding-top: 9rem; } }
+  @media screen and (min-width: 769px), print {
+    .hero.is-large .hero-body {
+      padding-bottom: 18rem;
+      padding-top: 18rem; } }
+  .hero.is-halfheight .hero-body, .hero.is-fullheight .hero-body, .hero.is-fullheight-with-navbar .hero-body {
+    align-items: center;
+    display: flex; }
+    .hero.is-halfheight .hero-body > .container, .hero.is-fullheight .hero-body > .container, .hero.is-fullheight-with-navbar .hero-body > .container {
+      flex-grow: 1;
+      flex-shrink: 1; }
+  .hero.is-halfheight {
+    min-height: 50vh; }
+  .hero.is-fullheight {
+    min-height: 100vh; }
+
+.hero-video {
+  overflow: hidden; }
+  .hero-video video {
+    left: 50%;
+    min-height: 100%;
+    min-width: 100%;
+    position: absolute;
+    top: 50%;
+    transform: translate3d(-50%, -50%, 0); }
+  .hero-video.is-transparent {
+    opacity: 0.3; }
+  @media screen and (max-width: 768px) {
+    .hero-video {
+      display: none; } }
+.hero-buttons {
+  margin-top: 1.5rem; }
+  @media screen and (max-width: 768px) {
+    .hero-buttons .button {
+      display: flex; }
+      .hero-buttons .button:not(:last-child) {
+        margin-bottom: 0.75rem; } }
+  @media screen and (min-width: 769px), print {
+    .hero-buttons {
+      display: flex;
+      justify-content: center; }
+      .hero-buttons .button:not(:last-child) {
+        margin-right: 1.5rem; } }
+.hero-head,
+.hero-foot {
+  flex-grow: 0;
+  flex-shrink: 0; }
+
+.hero-body {
+  flex-grow: 1;
+  flex-shrink: 0;
+  padding: 3rem 1.5rem; }
+
+.section {
+  padding: 3rem 1.5rem; }
+  @media screen and (min-width: 1056px) {
+    .section.is-medium {
+      padding: 9rem 1.5rem; }
+    .section.is-large {
+      padding: 18rem 1.5rem; } }
+.footer {
+  background-color: #fafafa;
+  padding: 3rem 1.5rem 6rem; }
+
+h1 .docs-heading-anchor, h1 .docs-heading-anchor:hover, h1 .docs-heading-anchor:visited, h2 .docs-heading-anchor, h2 .docs-heading-anchor:hover, h2 .docs-heading-anchor:visited, h3 .docs-heading-anchor, h3 .docs-heading-anchor:hover, h3 .docs-heading-anchor:visited, h4 .docs-heading-anchor, h4 .docs-heading-anchor:hover, h4 .docs-heading-anchor:visited, h5 .docs-heading-anchor, h5 .docs-heading-anchor:hover, h5 .docs-heading-anchor:visited, h6 .docs-heading-anchor, h6 .docs-heading-anchor:hover, h6 .docs-heading-anchor:visited {
+  color: #222222; }
+
+h1 .docs-heading-anchor-permalink, h2 .docs-heading-anchor-permalink, h3 .docs-heading-anchor-permalink, h4 .docs-heading-anchor-permalink, h5 .docs-heading-anchor-permalink, h6 .docs-heading-anchor-permalink {
+  visibility: hidden;
+  vertical-align: middle;
+  margin-left: 0.5em;
+  font-size: 0.7rem; }
+  h1 .docs-heading-anchor-permalink::before, h2 .docs-heading-anchor-permalink::before, h3 .docs-heading-anchor-permalink::before, h4 .docs-heading-anchor-permalink::before, h5 .docs-heading-anchor-permalink::before, h6 .docs-heading-anchor-permalink::before {
+    font-family: "Font Awesome 5 Free";
+    font-weight: 900;
+    content: "\f0c1"; }
+
+h1:hover .docs-heading-anchor-permalink, h2:hover .docs-heading-anchor-permalink, h3:hover .docs-heading-anchor-permalink, h4:hover .docs-heading-anchor-permalink, h5:hover .docs-heading-anchor-permalink, h6:hover .docs-heading-anchor-permalink {
+  visibility: visible; }
+
+.docs-dark-only {
+  display: none !important; }
+
+pre {
+  position: relative;
+  overflow: hidden; }
+  pre code, pre code.hljs {
+    padding: 0 0.75rem !important;
+    overflow: auto;
+    display: block; }
+  pre code:first-of-type, pre code.hljs:first-of-type {
+    padding-top: 0.5rem !important; }
+  pre code:last-of-type, pre code.hljs:last-of-type {
+    padding-bottom: 0.5rem !important; }
+  pre .copy-button {
+    opacity: 0.2;
+    transition: opacity 0.2s;
+    position: absolute;
+    right: 0em;
+    top: 0em;
+    padding: 0.5em;
+    width: 2.5em;
+    height: 2.5em;
+    background: transparent;
+    border: none;
+    font-family: "Font Awesome 5 Free";
+    color: #222222;
+    cursor: pointer;
+    text-align: center; }
+    pre .copy-button:focus, pre .copy-button:hover {
+      opacity: 1;
+      background: rgba(34, 34, 34, 0.1);
+      color: #2e63b8; }
+    pre .copy-button.success {
+      color: #259a12;
+      opacity: 1; }
+    pre .copy-button.error {
+      color: #cb3c33;
+      opacity: 1; }
+  pre:hover .copy-button {
+    opacity: 1; }
+
+.admonition {
+  background-color: #b5b5b5;
+  border-style: solid;
+  border-width: 1px;
+  border-color: #363636;
+  border-radius: 4px;
+  font-size: 1rem; }
+  .admonition strong {
+    color: currentColor; }
+  .admonition.is-small, #documenter .docs-sidebar form.docs-search > input.admonition {
+    font-size: 0.75rem; }
+  .admonition.is-medium {
+    font-size: 1.25rem; }
+  .admonition.is-large {
+    font-size: 1.5rem; }
+  .admonition.is-default {
+    background-color: #b5b5b5;
+    border-color: #363636; }
+    .admonition.is-default > .admonition-header {
+      background-color: #363636;
+      color: #fff; }
+    .admonition.is-default > .admonition-body {
+      color: #fff; }
+  .admonition.is-info {
+    background-color: #def0fc;
+    border-color: #209cee; }
+    .admonition.is-info > .admonition-header {
+      background-color: #209cee;
+      color: #fff; }
+    .admonition.is-info > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-success {
+    background-color: #bdf4d1;
+    border-color: #22c35b; }
+    .admonition.is-success > .admonition-header {
+      background-color: #22c35b;
+      color: #fff; }
+    .admonition.is-success > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-warning {
+    background-color: #fff3c5;
+    border-color: #ffdd57; }
+    .admonition.is-warning > .admonition-header {
+      background-color: #ffdd57;
+      color: rgba(0, 0, 0, 0.7); }
+    .admonition.is-warning > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-danger {
+    background-color: #ffaba7;
+    border-color: #da0b00; }
+    .admonition.is-danger > .admonition-header {
+      background-color: #da0b00;
+      color: #fff; }
+    .admonition.is-danger > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-compat {
+    background-color: #bdeff5;
+    border-color: #1db5c9; }
+    .admonition.is-compat > .admonition-header {
+      background-color: #1db5c9;
+      color: #fff; }
+    .admonition.is-compat > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+
+.admonition-header {
+  color: #fff;
+  background-color: #363636;
+  align-items: center;
+  font-weight: 700;
+  justify-content: space-between;
+  line-height: 1.25;
+  padding: 0.5rem 0.75rem;
+  position: relative; }
+  .admonition-header:before {
+    font-family: "Font Awesome 5 Free";
+    font-weight: 900;
+    margin-right: 0.75rem;
+    content: "\f06a"; }
+
+.admonition-body {
+  color: #222222;
+  padding: 0.5rem 0.75rem; }
+  .admonition-body pre {
+    background-color: whitesmoke; }
+  .admonition-body code {
+    background-color: rgba(0, 0, 0, 0.05); }
+
+.docstring {
+  margin-bottom: 1em;
+  background-color: transparent;
+  border: 1px solid #dbdbdb;
+  box-shadow: 2px 2px 3px rgba(10, 10, 10, 0.1);
+  max-width: 100%; }
+  .docstring > header {
+    display: flex;
+    flex-grow: 1;
+    align-items: stretch;
+    padding: 0.5rem 0.75rem;
+    background-color: whitesmoke;
+    box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+    box-shadow: none;
+    border-bottom: 1px solid #dbdbdb; }
+    .docstring > header code {
+      background-color: transparent; }
+    .docstring > header .docstring-binding {
+      margin-right: 0.3em; }
+    .docstring > header .docstring-category {
+      margin-left: 0.3em; }
+  .docstring > section {
+    position: relative;
+    padding: 0.75rem 0.75rem;
+    border-bottom: 1px solid #dbdbdb; }
+    .docstring > section:last-child {
+      border-bottom: none; }
+    .docstring > section > a.docs-sourcelink {
+      transition: opacity 0.3s;
+      opacity: 0;
+      position: absolute;
+      right: 0.375rem;
+      bottom: 0.375rem; }
+      .docstring > section > a.docs-sourcelink:focus {
+        opacity: 1 !important; }
+  .docstring:hover > section > a.docs-sourcelink {
+    opacity: 0.2; }
+  .docstring:focus-within > section > a.docs-sourcelink {
+    opacity: 0.2; }
+  .docstring > section:hover a.docs-sourcelink {
+    opacity: 1; }
+
+.documenter-example-output {
+  background-color: white; }
+
+.outdated-warning-overlay {
+  position: fixed;
+  top: 0;
+  left: 0;
+  right: 0;
+  box-shadow: 0 0 10px rgba(0, 0, 0, 0.3);
+  z-index: 999;
+  background-color: #ffaba7;
+  color: rgba(0, 0, 0, 0.7);
+  border-bottom: 3px solid #da0b00;
+  padding: 10px 35px;
+  text-align: center;
+  font-size: 15px; }
+  .outdated-warning-overlay .outdated-warning-closer {
+    position: absolute;
+    top: calc(50% - 10px);
+    right: 18px;
+    cursor: pointer;
+    width: 12px; }
+  .outdated-warning-overlay a {
+    color: #2e63b8; }
+    .outdated-warning-overlay a:hover {
+      color: #363636; }
+
+.content pre {
+  border: 1px solid #dbdbdb; }
+
+.content code {
+  font-weight: inherit; }
+
+.content a code {
+  color: #2e63b8; }
+
+.content h1 code, .content h2 code, .content h3 code, .content h4 code, .content h5 code, .content h6 code {
+  color: #222222; }
+
+.content table {
+  display: block;
+  width: initial;
+  max-width: 100%;
+  overflow-x: auto; }
+
+.content blockquote > ul:first-child, .content blockquote > ol:first-child, .content .admonition-body > ul:first-child, .content .admonition-body > ol:first-child {
+  margin-top: 0; }
+
+pre, code {
+  font-variant-ligatures: no-contextual; }
+
+.breadcrumb a.is-disabled {
+  cursor: default;
+  pointer-events: none; }
+  .breadcrumb a.is-disabled, .breadcrumb a.is-disabled:hover {
+    color: #222222; }
+
+.hljs {
+  background: initial !important; }
+
+.katex .katex-mathml {
+  top: 0;
+  right: 0; }
+
+.katex-display, mjx-container, .MathJax_Display {
+  margin: 0.5em 0 !important; }
+
+html {
+  -moz-osx-font-smoothing: auto;
+  -webkit-font-smoothing: auto; }
+
+li.no-marker {
+  list-style: none; }
+
+/* This file contain the overall layout.
+ *
+ * The main container is <div> that is identified by id #documenter.
+ */
+#documenter .docs-main > article {
+  overflow-wrap: break-word; }
+  #documenter .docs-main > article .math-container {
+    overflow-x: auto;
+    overflow-y: hidden; }
+
+@media screen and (min-width: 1056px) {
+  #documenter .docs-main {
+    max-width: 52rem;
+    margin-left: 20rem;
+    padding-right: 1rem; } }
+
+@media screen and (max-width: 1055px) {
+  #documenter .docs-main {
+    width: 100%; }
+    #documenter .docs-main > article {
+      max-width: 52rem;
+      margin-left: auto;
+      margin-right: auto;
+      margin-bottom: 1rem;
+      padding: 0 1rem; }
+    #documenter .docs-main > header, #documenter .docs-main > nav {
+      max-width: 100%;
+      width: 100%;
+      margin: 0; } }
+
+#documenter .docs-main header.docs-navbar {
+  background-color: white;
+  border-bottom: 1px solid #dbdbdb;
+  z-index: 2;
+  min-height: 4rem;
+  margin-bottom: 1rem;
+  display: flex; }
+  #documenter .docs-main header.docs-navbar .breadcrumb {
+    flex-grow: 1; }
+  #documenter .docs-main header.docs-navbar .docs-right {
+    display: flex;
+    white-space: nowrap; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-icon, #documenter .docs-main header.docs-navbar .docs-right .docs-label, #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+      display: inline-block; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-label {
+      padding: 0;
+      margin-left: 0.3em; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-settings-button {
+      margin: auto 0 auto 1rem; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+      font-size: 1.5rem;
+      margin: auto 0 auto 1rem; }
+  #documenter .docs-main header.docs-navbar > * {
+    margin: auto 0; }
+  @media screen and (max-width: 1055px) {
+    #documenter .docs-main header.docs-navbar {
+      position: sticky;
+      top: 0;
+      padding: 0 1rem;
+      /* For Headroom.js */
+      transition-property: top, box-shadow;
+      -webkit-transition-property: top, box-shadow;
+      /* Safari */
+      transition-duration: 0.3s;
+      -webkit-transition-duration: 0.3s;
+      /* Safari */ }
+      #documenter .docs-main header.docs-navbar.headroom--not-top {
+        box-shadow: 0.2rem 0rem 0.4rem #bbb;
+        transition-duration: 0.7s;
+        -webkit-transition-duration: 0.7s;
+        /* Safari */ }
+      #documenter .docs-main header.docs-navbar.headroom--unpinned.headroom--not-top.headroom--not-bottom {
+        top: -4.5rem;
+        transition-duration: 0.7s;
+        -webkit-transition-duration: 0.7s;
+        /* Safari */ } }
+#documenter .docs-main section.footnotes {
+  border-top: 1px solid #dbdbdb; }
+  #documenter .docs-main section.footnotes li .tag:first-child, #documenter .docs-main section.footnotes li .docstring > section > a.docs-sourcelink:first-child, #documenter .docs-main section.footnotes li .content kbd:first-child, .content #documenter .docs-main section.footnotes li kbd:first-child {
+    margin-right: 1em;
+    margin-bottom: 0.4em; }
+
+#documenter .docs-main .docs-footer {
+  display: flex;
+  flex-wrap: wrap;
+  margin-left: 0;
+  margin-right: 0;
+  border-top: 1px solid #dbdbdb;
+  padding-top: 1rem;
+  padding-bottom: 1rem; }
+  @media screen and (max-width: 1055px) {
+    #documenter .docs-main .docs-footer {
+      padding-left: 1rem;
+      padding-right: 1rem; } }
+  #documenter .docs-main .docs-footer .docs-footer-nextpage, #documenter .docs-main .docs-footer .docs-footer-prevpage {
+    flex-grow: 1; }
+  #documenter .docs-main .docs-footer .docs-footer-nextpage {
+    text-align: right; }
+  #documenter .docs-main .docs-footer .flexbox-break {
+    flex-basis: 100%;
+    height: 0; }
+  #documenter .docs-main .docs-footer .footer-message {
+    font-size: 0.8em;
+    margin: 0.5em auto 0 auto;
+    text-align: center; }
+
+#documenter .docs-sidebar {
+  display: flex;
+  flex-direction: column;
+  color: #0a0a0a;
+  background-color: whitesmoke;
+  border-right: 1px solid #dbdbdb;
+  padding: 0;
+  flex: 0 0 18rem;
+  z-index: 5;
+  font-size: 1rem;
+  position: fixed;
+  left: -18rem;
+  width: 18rem;
+  height: 100%;
+  transition: left 0.3s;
+  /* Setting up a nicer theme style for the scrollbar */ }
+  #documenter .docs-sidebar.visible {
+    left: 0;
+    box-shadow: 0.4rem 0rem 0.8rem #bbb; }
+    @media screen and (min-width: 1056px) {
+      #documenter .docs-sidebar.visible {
+        box-shadow: none; } }
+  @media screen and (min-width: 1056px) {
+    #documenter .docs-sidebar {
+      left: 0;
+      top: 0; } }
+  #documenter .docs-sidebar .docs-logo {
+    margin-top: 1rem;
+    padding: 0 1rem; }
+    #documenter .docs-sidebar .docs-logo > img {
+      max-height: 6rem;
+      margin: auto; }
+  #documenter .docs-sidebar .docs-package-name {
+    flex-shrink: 0;
+    font-size: 1.5rem;
+    font-weight: 700;
+    text-align: center;
+    white-space: nowrap;
+    overflow: hidden;
+    padding: 0.5rem 0; }
+    #documenter .docs-sidebar .docs-package-name .docs-autofit {
+      max-width: 16.2rem; }
+    #documenter .docs-sidebar .docs-package-name a, #documenter .docs-sidebar .docs-package-name a:hover {
+      color: #0a0a0a; }
+  #documenter .docs-sidebar .docs-version-selector {
+    border-top: 1px solid #dbdbdb;
+    display: none;
+    padding: 0.5rem; }
+    #documenter .docs-sidebar .docs-version-selector.visible {
+      display: flex; }
+  #documenter .docs-sidebar ul.docs-menu {
+    flex-grow: 1;
+    user-select: none;
+    border-top: 1px solid #dbdbdb;
+    padding-bottom: 1.5rem;
+    /* Managing collapsible submenus */ }
+    #documenter .docs-sidebar ul.docs-menu > li > .tocitem {
+      font-weight: bold; }
+    #documenter .docs-sidebar ul.docs-menu > li li {
+      font-size: 0.95rem;
+      margin-left: 1em;
+      border-left: 1px solid #dbdbdb; }
+    #documenter .docs-sidebar ul.docs-menu input.collapse-toggle {
+      display: none; }
+    #documenter .docs-sidebar ul.docs-menu ul.collapsed {
+      display: none; }
+    #documenter .docs-sidebar ul.docs-menu input:checked ~ ul.collapsed {
+      display: block; }
+    #documenter .docs-sidebar ul.docs-menu label.tocitem {
+      display: flex; }
+      #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-label {
+        flex-grow: 2; }
+      #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron {
+        display: inline-block;
+        font-style: normal;
+        font-variant: normal;
+        text-rendering: auto;
+        line-height: 1;
+        font-size: 0.75rem;
+        margin-left: 1rem;
+        margin-top: auto;
+        margin-bottom: auto; }
+        #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron::before {
+          font-family: "Font Awesome 5 Free";
+          font-weight: 900;
+          content: "\f054"; }
+    #documenter .docs-sidebar ul.docs-menu input:checked ~ label.tocitem .docs-chevron::before {
+      content: "\f078"; }
+    #documenter .docs-sidebar ul.docs-menu .tocitem {
+      display: block;
+      padding: 0.5rem 0.5rem; }
+      #documenter .docs-sidebar ul.docs-menu .tocitem, #documenter .docs-sidebar ul.docs-menu .tocitem:hover {
+        color: #0a0a0a;
+        background: whitesmoke; }
+    #documenter .docs-sidebar ul.docs-menu a.tocitem:hover, #documenter .docs-sidebar ul.docs-menu label.tocitem:hover {
+      color: #0a0a0a;
+      background-color: #ebebeb; }
+    #documenter .docs-sidebar ul.docs-menu li.is-active {
+      border-top: 1px solid #dbdbdb;
+      border-bottom: 1px solid #dbdbdb;
+      background-color: white; }
+      #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem, #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem:hover {
+        background-color: white;
+        color: #0a0a0a; }
+      #documenter .docs-sidebar ul.docs-menu li.is-active ul.internal .tocitem:hover {
+        background-color: #ebebeb;
+        color: #0a0a0a; }
+    #documenter .docs-sidebar ul.docs-menu > li.is-active:first-child {
+      border-top: none; }
+    #documenter .docs-sidebar ul.docs-menu ul.internal {
+      margin: 0 0.5rem 0.5rem;
+      border-top: 1px solid #dbdbdb; }
+      #documenter .docs-sidebar ul.docs-menu ul.internal li {
+        font-size: 0.85rem;
+        border-left: none;
+        margin-left: 0;
+        margin-top: 0.5rem; }
+      #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem {
+        width: 100%;
+        padding: 0; }
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diff --git a/v0.3.18/index.html b/v0.3.18/index.html
new file mode 100644
index 000000000..1ff48fe02
--- /dev/null
+++ b/v0.3.18/index.html
@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Home · GeoParams.jl</title><script data-outdated-warner src="assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="assets/documenter.js"></script><script src="siteinfo.js"></script><script src="../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href>GeoParams.jl</a></span></div><form class="docs-search" action="search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li class="is-active"><a class="tocitem" href>Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="man/geounit/">GeoUnit</a></li><li><a class="tocitem" href="man/nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="man/materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="man/density/">Density</a></li><li><a class="tocitem" href="man/creeplaws/">Creep laws</a></li><li><a class="tocitem" href="man/elasticity/">Elasticity</a></li><li><a class="tocitem" href="man/plasticity/">Plasticity</a></li><li><a class="tocitem" href="man/heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="man/conductivity/">Conductivity</a></li><li><a class="tocitem" href="man/latentheat/">Latent heat</a></li><li><a class="tocitem" href="man/radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="man/shearheating/">Shear heating</a></li><li><a class="tocitem" href="man/gravity/">Gravity</a></li><li><a class="tocitem" href="man/melting/">Partial Melting</a></li><li><a class="tocitem" href="man/TASclassification/">TAS classification</a></li><li><a class="tocitem" href="man/zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="man/phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="man/seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="man/plotting/">Plotting</a></li><li><a class="tocitem" href="man/listfunctions/">List of functions</a></li><li><a class="tocitem" href="man/contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Home</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Home</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/index.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="GeoParams.jl"><a class="docs-heading-anchor" href="#GeoParams.jl">GeoParams.jl</a><a id="GeoParams.jl-1"></a><a class="docs-heading-anchor-permalink" href="#GeoParams.jl" title="Permalink"></a></h1><p>Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:</p><ul><li>Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).</li><li>Material parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. </li></ul><p>We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="man/geounit/">GeoUnit »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Monday 3 October 2022 08:35">Monday 3 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.18/man/TASclassification/index.html b/v0.3.18/man/TASclassification/index.html
new file mode 100644
index 000000000..52b774392
--- /dev/null
+++ b/v0.3.18/man/TASclassification/index.html
@@ -0,0 +1,4 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>TAS classification · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li class="is-active"><a class="tocitem" href>TAS classification</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routine"><span>Computational routine</span></a></li></ul></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>TAS classification</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>TAS classification</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/TASclassification.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="TAS-rock-classification"><a class="docs-heading-anchor" href="#TAS-rock-classification">TAS rock classification</a><a id="TAS-rock-classification-1"></a><a class="docs-heading-anchor-permalink" href="#TAS-rock-classification" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>When doing coupled petrological-geodynamic modelling, the evolution of the composition of the magma is more easily understood when a rock type is given. This routine is an implementation of the TAS diagram (Total Alkali (TA) vs Silica (S)) from Le Maitre et al., 2002.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.TASclassificationData" href="#GeoParams.TASclassification.TASclassificationData"><code>GeoParams.TASclassification.TASclassificationData</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">TASclassificationData
+
+Struct that holds default parameters for the TAS diagram</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/RockClassification/TASclassification.jl#L47-L51">source</a></section></article><h1 id="Computational-routine"><a class="docs-heading-anchor" href="#Computational-routine">Computational routine</a><a id="Computational-routine-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routine" title="Permalink"></a></h1><p>There is one routine with which you can retrieve the index of the TAS rock-type. The routine receives as an input a compositional vector [SiO2,Na2O+K2O] in wt% and sends back an index [1-15].</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.computeTASclassification" href="#GeoParams.TASclassification.computeTASclassification"><code>GeoParams.TASclassification.computeTASclassification</code></a> — <span class="docstring-category">Function</span></header><section><div><p>classIndex computeTASclassification(chemComp::AbstractArray{_T,N}, ClassTASdata::TASclassificationData)</p><p>This compute the classification of the igneous rock using TAS diagram (Total Alkali (TA) vs Silica (S)).</p><p><strong>Input:</strong></p><ul><li><code>chemComp</code> : vector rock composition in oxide wt%</li></ul><p>Output:</p><ul><li><code>classIndex</code> : an integer [0-14] corresponding to a TAS field (TASclassificationData.litho[classIndex])</li></ul><p>This routine was developed based the TAS classification of Le Maitre et al., 2002</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/RockClassification/TASclassification.jl#L113-L127">source</a></section></article><p>Using the index of the rock-type you can get the name of the corresponding volcanic rock using the following routine.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.retrieveTASrockType" href="#GeoParams.TASclassification.retrieveTASrockType"><code>GeoParams.TASclassification.retrieveTASrockType</code></a> — <span class="docstring-category">Function</span></header><section><div><p>retrieveTASrockType(index::Int64; ClassTASdata::TASclassificationData = TASclassificationData())</p><p>This retrieves the name of the volcanic rock-type using the computed index</p><p><strong>Input:</strong></p><ul><li><code>index</code> : integer [1-15]</li></ul><p>Output:</p><ul><li><code>litho</code> : a string of the name of corresponding volcanic rock</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/RockClassification/TASclassification.jl#L93-L105">source</a></section></article><p>We also provide a plotting routine, provided the <code>Plots</code> package is loaded, which produces figures such as: <img src="../assets/img/TAS_diagram.png" alt="subet3"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../melting/">« Partial Melting</a><a class="docs-footer-nextpage" href="../zirconages/">Zircon Ages »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Monday 3 October 2022 08:35">Monday 3 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Conductivity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Conductivity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Conductivity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/conductivity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Conductivity"><a class="docs-heading-anchor" href="#Conductivity">Conductivity</a><a id="Conductivity-1"></a><a class="docs-heading-anchor-permalink" href="#Conductivity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Thermal conductivity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.ConstantConductivity" href="#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantConductivity(k=3.0W/m/K)</code></pre><p>Set a constant conductivity</p><p class="math-container">\[    k  = cst\]</p><p>where <span>$k$</span> is the thermal conductivity [<span>$W/m/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Energy/Conductivity.jl#L29-L37">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington" href="#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Conductivity_Whittington()</code></pre><p>Sets a temperature-dependent conductivity following the parameterization of <em>Whittington, A.G., Hofmeister, A.M., Nabelek, P.I., 2009. Temperature-dependent thermal diffusivity of the Earth’s crust and implications for magmatism. Nature 458, 319–321. https://doi.org/10.1038/nature07818.</em>  Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us to compute </p><p class="math-container">\[    Cp = a + b T - c/T^2 \]</p><p class="math-container">\[    \kappa = d/T - e \textrm{ if } T&lt;=846K\]</p><p class="math-container">\[    \kappa = f - g*T \textrm{ if } T&gt;846K\]</p><p class="math-container">\[    \rho = 2700 kg/m^3\]</p><p class="math-container">\[    k = \kappa \rho Cp\]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/mol/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <code>T</code>:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>d = 576.3m^2/s*K      </li><li>e = 0.062m^2/s        </li><li>f = 0.732m^2/s        </li><li>g = 0.000135m^2/s/K </li></ul><p>This looks like:</p><p><img src="../assets/img/Conductivity_Whittington.png" alt="subet1"/></p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; using GeoParams, Plots
+julia&gt; p=T_Conductivity_Whittington();
+julia&gt; T,k,plt = PlotConductivity(p)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Energy/Conductivity.jl#L81-L127">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised" href="#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Conductivity_Whittington_parameterised()</code></pre><p>Sets a temperature-dependent conductivity that is  parameterization after <em>Whittington, et al.  2009</em> </p><p>The original parameterization involves quite a few parameters; this is a polynomial fit that is roughly valid from 0-1000Celcius</p><p class="math-container">\[    k [W/m/K] = -2 10^{-9} (T-Ts)^3 + 6 10^{-6} (T-Ts)^2 - 0.0062 (T-Ts) + 4\]</p><p class="math-container">\[    Ts = 273.15 K\]</p><p>where <code>T[K]</code> is the temperature in Kelvin (or the nondimensional equivalent of it).</p><p>The comparison of this parameterisation vs. the original one is: <img src="../assets/img/Conductivity_Whittington_smooth.png" alt="subet1"/></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Energy/Conductivity.jl#L218-L236">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">TP_Conductivity()</code></pre><p>Sets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for  </p><p class="math-container">\[    k = \left( a_k +  {b_k \over {T + c_k}} \right) (1 + d_k P) \]</p><p>where <span>$k$</span> is the conductivity [<span>$W/K/m$</span>], and <span>$a_k,b_k,c_k,d_k$</span> are parameters that dependent on the temperature <code>T</code> and pressure <code>P</code>:</p><ul><li><span>$a_k$</span> = 1.18Watt/K/m    </li><li><span>$b_k$</span> = 474Watt/m </li><li><span>$c_k$</span> = 77K       </li><li><span>$d_k$</span> = 0/MPa       </li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Energy/Conductivity.jl#L313-L328">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">Set_TP_Conductivity[&quot;Name of temperature(-pressure) dependent conductivity&quot;]</code></pre><p>This is a dictionary with pre-defined laws:</p><ul><li>&quot;UpperCrust&quot;    </li><li>&quot;LowerCrust&quot;</li><li>&quot;OceanicCrust&quot;</li><li>&quot;Mantle&quot;</li></ul><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; k=Set_TP_Conductivity[&quot;Mantle&quot;]
+T/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)  </code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Energy/Conductivity.jl#L351-L366">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">k = compute_conductivity(P, T, s:&lt;AbstractConductivity)</code></pre><p>Returns the thermal conductivity <code>k</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the parameterizations implemented.</p><p>Currently available:</p><ul><li>ConstantConductivity</li><li>T_Conductivity_Whittington</li><li>TP_Conductivity</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia hljs">julia&gt; T  = (250:100:1250)*K;
+julia&gt; cp = T_HeatCapacity_Whittington()
+julia&gt; Cp = ComputeHeatCapacity(0,T,cp)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Energy/Conductivity.jl#L498-L517">source</a></section><section><div><pre><code class="nohighlight hljs">compute_conductivity!(K::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},Temp::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of conductivity <code>K</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>Temp</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p>_________________________________________________________________________________________________________</p><p>compute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</p><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Energy/Conductivity.jl#L539-L551">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity!" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_conductivity(k_array::AbstractArray{&lt;:AbstractFloat,N},P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, s::ConstantConductivity) where N</code></pre><p>In-place routine to compute constant conductivity    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Energy/Conductivity.jl#L65-L69">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../heatcapacity/">« Heat Capacity</a><a class="docs-footer-nextpage" href="../latentheat/">Latent heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Monday 3 October 2022 08:35">Monday 3 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.18/man/contributing/index.html b/v0.3.18/man/contributing/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Contributing · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li class="is-active"><a class="tocitem" href>Contributing</a><ul class="internal"><li><a class="tocitem" href="#Style-Guide"><span>Style Guide</span></a></li></ul></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Contributing</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Contributing</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/contributing.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Contributing"><a class="docs-heading-anchor" href="#Contributing">Contributing</a><a id="Contributing-1"></a><a class="docs-heading-anchor-permalink" href="#Contributing" title="Permalink"></a></h1><p>This page details the some of the guidelines that should be followed when contributing to this package.</p><p>You can contribute for example by adding new creep laws or by adding new constitutive relationships. If you invest a bit of time now, it will save others in the community a lot of time! The simplest way to do this is by cloning the repository, and creating a new branch for your feature. Once you are happy with what you added (and after you added a test to ensure that it will keep working with future changes), create a pull request and we will evaluate &amp; merge it.</p><h2 id="Style-Guide"><a class="docs-heading-anchor" href="#Style-Guide">Style Guide</a><a id="Style-Guide-1"></a><a class="docs-heading-anchor-permalink" href="#Style-Guide" title="Permalink"></a></h2><p>Follow the style of the surrounding text when making changes. When adding new features please try to stick to the following points whenever applicable.</p><h3 id="Julia"><a class="docs-heading-anchor" href="#Julia">Julia</a><a id="Julia-1"></a><a class="docs-heading-anchor-permalink" href="#Julia" title="Permalink"></a></h3><ul><li>4-space indentation;</li><li>modules spanning entire files should not be indented, but modules that have surrounding code should;</li><li>no blank lines at the start or end of files;</li><li>do not manually align syntax such as <code>=</code> or <code>::</code> over adjacent lines;</li><li>use <code>function ... end</code> when a method definition contains more than one toplevel expression;</li><li>related short-form method definitions don&#39;t need a new line between them;</li><li>unrelated or long-form method definitions must have a blank line separating each one;</li><li>surround all binary operators with whitespace except for <code>::</code>, <code>^</code>, and <code>:</code>;</li><li>files containing a single <code>module ... end</code> must be named after the module;</li><li>method arguments should be ordered based on the amount of usage within the method body;</li><li>methods extended from other modules must follow their inherited argument order, not the above rule;</li><li>explicit <code>return</code> should be preferred except in short-form method definitions;</li><li>avoid dense expressions where possible e.g. prefer nested <code>if</code>s over complex nested <code>?</code>s;</li><li>include a trailing <code>,</code> in vectors, tuples, or method calls that span several lines;</li><li>do not use multiline comments (<code>#=</code> and <code>=#</code>);</li><li>wrap long lines as near to 92 characters as possible, this includes docstrings;</li><li>follow the standard naming conventions used in <code>Base</code>.</li></ul><h3 id="Markdown"><a class="docs-heading-anchor" href="#Markdown">Markdown</a><a id="Markdown-1"></a><a class="docs-heading-anchor-permalink" href="#Markdown" title="Permalink"></a></h3><ul><li>Use unbalanced <code>#</code> headers, i.e. no <code>#</code> on the right hand side of the header text;</li><li>include a single blank line between toplevel blocks;</li><li>unordered lists must use <code>*</code> bullets with two preceding spaces;</li><li>do <em>not</em> hard wrap lines;</li><li>use emphasis (<code>*</code>) and bold (<code>**</code>) sparingly;</li><li>always use fenced code blocks instead of indented blocks;</li><li>follow the conventions outlined in the Julia documentation page on documentation.</li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../listfunctions/">« List of functions</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Monday 3 October 2022 08:35">Monday 3 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.18/man/creeplaws/index.html b/v0.3.18/man/creeplaws/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Creep laws · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul 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href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Creep laws</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Creep laws</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/creeplaws.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="CreepLaws"><a class="docs-heading-anchor" href="#CreepLaws">CreepLaws</a><a id="CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#CreepLaws" title="Permalink"></a></h1><h1 id="Implemented-creep-laws"><a class="docs-heading-anchor" href="#Implemented-creep-laws">Implemented creep laws</a><a id="Implemented-creep-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-creep-laws" title="Permalink"></a></h1><p>The following viscous creep laws are implemented:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">LinearViscous(η=1e20Pa*s)</code></pre><p>Defines a linear viscous creeplaw </p><p>The (isotopic) linear viscous rheology is given by  </p><p class="math-container">\[    \tau_{ij} = 2 \eta \dot{\varepsilon}_{ij} \]</p><p>or</p><p class="math-container">\[    \dot{\varepsilon}_{ij}  = {\tau_{ij}  \over 2 \eta }\]</p><p>where <span>$\eta_0$</span> is the reference viscosity [Pa*s] at reference strain rate <span>$\dot{\varepsilon}_0$</span>[1/s], and <span>$n$</span> the power law exponent []. </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/CreepLaw/CreepLaw.jl#L53-L68">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)</code></pre><p>Defines a power law viscous creeplaw as: </p><p class="math-container">\[    \tau_{ij}^n  = 2 \eta_0 \left( \dot{\varepsilon}_{ij} \over \dot{\varepsilon}_0 \right)\]</p><p>where <span>$\eta$</span> is the effective viscosity [Pa*s].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/CreepLaw/CreepLaw.jl#L152-L161">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DislocationCreep(n = 1.0NoUnits, r = 0.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )</code></pre><p>Defines the flow law parameter of a dislocation creep law.</p><p>The (isotropic) dislocation creep law, as used by experimentalists, is given by  </p><p class="math-container">\[     \dot{\gamma} = A \sigma_\mathrm{d}^n f_\mathrm{H2O}^r \exp\left(-\frac{E+PV}{RT}\right)\]</p><p>where </p><ul><li><span>$n$</span> is the power law exponent  </li><li><span>$r$</span> is the exponent of fugacity dependence </li><li><span>$A$</span> is a pre-exponential factor <span>$[\mathrm{MPa}^{-n}s^{-1}]$</span> (if manually defined, <span>$n$</span> and <span>$r$</span> must be either pre-defined or substituted) </li><li><span>$E$</span> is the activation energy <span>$\mathrm{[kJ/mol]}$</span> </li><li><span>$V$</span> is the activation volume <span>$\mathrm{[m^3/mol]}$</span> </li><li><span>$\dot{\gamma}$</span> is the strain rate <span>$\mathrm{[1/s]}$</span> </li><li><span>$\sigma_\mathrm{d}$</span> is the differential stress <span>$\mathrm{[MPa]}$</span> which are converted into second invariants using the <code>Apparatus</code> variable that can be</li></ul><p>either <code>AxialCompression</code>, <code>SimpleShear</code> or <code>Invariant</code>. If the flow law paramters are already given as a function of second invariants, choose <code>Apparatus=Invariant</code>.</p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; x2 = DislocationCreep(n=3)
+DislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/CreepLaw/DislocationCreep.jl#L18-L42">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetDislocationCreep[&quot;Name of Dislocation Creep&quot;]</code></pre><p>Sets predefined dislocation creep data from a dictionary</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/CreepLaw/Data/DislocationCreep.jl#L2-L7">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DiffusionCreep(r = 0NoUnits, p = A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )</code></pre><p>Defines the flow law parameter of a dislocation creep law.</p><p>The (isotropic) diffusion creep law, as used by experimentalists, is given by  </p><p class="math-container">\[     \dot{\gamma} = A \sigma_\mathrm{d} d^{\mathrm{p}} f_\mathrm{H2O}^r \exp\left(-\frac{E+PV}{RT}\right)\]</p><p>where </p><ul><li><span>$r$</span> is the exponent of fugacity dependence </li><li><span>$p$</span> is the exponent of grain size</li><li><span>$A$</span> is a pre-exponential factor <span>$[\mathrm{MPa}^{-n}s^{-1}]$</span> (if manually defined, <span>$n$</span> and <span>$r$</span> must be either pre-defined or substituted) </li><li><span>$E$</span> is the activation energy <span>$\mathrm{[kJ/mol]}$</span> </li><li><span>$V$</span> is the activation volume <span>$\mathrm{[m^3/mol]}$</span> </li><li><span>$\dot{\gamma}$</span> is the strain rate <span>$\mathrm{[1/s]}$</span> </li><li><span>$\sigma_\mathrm{d}$</span> is the differential stress <span>$\mathrm{[MPa]}$</span></li></ul><p>The experimental paramaters are converted into second invariants using the <code>Apparatus</code> variable that can be either <code>AxialCompression</code>, <code>SimpleShear</code> or <code>Invariant</code>. If the flow law paramters are already given as a function of second invariants, choose <code>Apparatus=Invariant</code>.</p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; x2 = DiffusionCreep(Name=&quot;test&quot;)
+DiffusionCreep: Name = test, n=1.0, r=0.0, p=-3.0, A=1.5 m³·⁰ MPa⁻¹·⁰ s⁻¹·⁰, E=500.0 kJ mol⁻¹·⁰, V=2.4e-5 m³·⁰ mol⁻¹·⁰, FT=1.7320508075688772, FE=1.1547005383792517)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/CreepLaw/DiffusionCreep.jl#L23-L49">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetDiffusionCreep[&quot;Name of Diffusion Creep&quot;]</code></pre><p>This is a dictionary with pre-defined creep laws    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/CreepLaw/Data/DiffusionCreep.jl#L4-L7">source</a></section></article><h1 id="Computational-routines-for-creep-laws"><a class="docs-heading-anchor" href="#Computational-routines-for-creep-laws">Computational routines for creep laws</a><a id="Computational-routines-for-creep-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines-for-creep-laws" title="Permalink"></a></h1><p>Once a creep rheology is defined, we can use the following routines to perform computations within the solvers</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>CreepLawVariables</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_εII(a::DiffusionCreep, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)</code></pre><p>Returns diffusion creep strainrate as a function of 2nd invariant of the stress tensor <span>$\tau_{II}$</span> </p><p class="math-container">\[    \dot{ε}_{II} = A τ_{II}^n d^{p} f_{H_2O}^r \exp \left(- {{E + PV} \over RT} \right)\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/CreepLaw/DiffusionCreep.jl#L156-L165">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(s::ConstantElasticity{_T}, τII; τII_old, dt)</code></pre><p>Computes elastic strainrate given the deviatoric stress at the current (<code>τII</code>) and old timestep (<code>τII_old</code>), for a timestep <code>dt</code>:</p><p class="math-container">\[    \dot{\varepsilon}^{el} = {1 \over 2 G} {D \tau_{II} \over Dt } ≈ {1 \over 2 G} {\tau_{II}- \tilde{\tau}_{II}^{old} \over dt }\]</p><p>Note that we here solve the scalar equation, which is sufficient for isotropic cases. In tensor form, it would be</p><p class="math-container">\[    {\dot{\varepsilon}^{el}}_{ij} = {1 \over 2 G} { \tau_{ij} - \tilde{{\tau_{ij}}}^{old} \over dt }\]</p><p>here <span>$\tilde{{\tau_{ij}}}^{old}$</span> is the rotated old deviatoric stress tensor to ensure objectivity (this can be done with Jaumann derivative, or also by using the full rotational formula).</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Elasticity/Elasticity.jl#L75-L89">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::Parallel{T,N}, τII, args; tol=1e-6, verbose=false, n=1)</code></pre><p>Computing <code>εII</code> as a function of <code>τII</code> for a Parallel elements is (usually) a nonlinear problem</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/CompositeRheologies.jl#L123-L127">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::CompositeRheology{T,N}, τII, args; tol=1e-6, verbose=false, n=1)</code></pre><p>Computing <code>εII</code> as a function of <code>τII</code> for a composite element is the sum of the individual contributions</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/CompositeRheologies.jl#L138-L142">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)</code></pre><p>Computes strainrate as a function of stress</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/CreepLaw/DiffusionCreep.jl#L190-L194">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, s::LinearViscous, TauII::AbstractArray{_T,N})</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/CreepLaw/CreepLaw.jl#L86-L89">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(ε_el::AbstractArray{_T,N}, s::ConstantElasticity{_T}; τII::AbstractArray{_T,N}, τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)</code></pre><p>In-place computation of the elastic shear strainrate for given deviatoric stress invariants at the previous (<code>τII_old</code>) and new (<code>τII</code>) timestep, as well as the timestep <code>dt</code>  </p><p class="math-container">\[    \dot{\varepsilon}^{el} = {1 \over 2 G} {D \tau_{II} \over Dt } ≈ {1 \over 2 G} {\tau_{II}- \tau_{II}^{old} \over dt }\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Elasticity/Elasticity.jl#L119-L128">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_τII(a::DislocationCreep, EpsII; P, T, f, args...)</code></pre><p>Computes the stress for a Dislocation creep law given a certain strain rate</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/CreepLaw/DislocationCreep.jl#L218-L223">source</a></section><section><div><pre><code class="nohighlight hljs">computeCreepLaw_TauII(EpsII::_T, a::DiffusionCreep; T::_T, P=zero(_T), f=one(_T), d=one(_T), kwargs...)</code></pre><p>Returns diffusion creep stress as a function of 2nd invariant of the strain rate </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/CreepLaw/DiffusionCreep.jl#L250-L254">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(s::LinearViscous, EpsII; kwargs...)</code></pre><p>Returns second invariant of the stress tensor given a 2nd invariant of strain rate tensor </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/CreepLaw/CreepLaw.jl#L112-L116">source</a></section><section><div><pre><code class="nohighlight hljs">τII = compute_τII(v::CompositeRheology{T,N}, εII, args; tol=1e-6, verbose=false)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/CompositeRheologies.jl#L189-L192">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_τII!(TauII::AbstractArray{_T,N}, a::DislocationCreep, EpsII::AbstractArray{_T,N}; 
+    P =       zero(TauII)::AbstractArray{_T,N}, 
+    T = ones(size(TauII))::AbstractArray{_T,N}, 
+    f = ones(size(TauII))::AbstractArray{_T,N})</code></pre><p>Computes the deviatoric stress invariant for a dislocation creep law</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/CreepLaw/DislocationCreep.jl#L255-L262">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII!(τII::AbstractArray{_T,N}, s::ConstantElasticity{_T}. ε_el::AbstractArray{_T,N}; τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)</code></pre><p>In-place update of the elastic stress for given deviatoric strainrate invariants and stres invariant at the old (<code>τII_old</code>) timestep, as well as the timestep <code>dt</code>  </p><p class="math-container">\[    \tau_{II} = 2 G dt \dot{\varepsilon}^{el} + \tau_{II}^{old}\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Elasticity/Elasticity.jl#L143-L152">source</a></section></article><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.CorrectionFactor</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.RemoveTensorCorrection</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../density/">« Density</a><a class="docs-footer-nextpage" href="../elasticity/">Elasticity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Monday 3 October 2022 08:35">Monday 3 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Density</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Density</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/density.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Density"><a class="docs-heading-anchor" href="#Density">Density</a><a id="Density-1"></a><a class="docs-heading-anchor-permalink" href="#Density" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>The density equation of state can be specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.ConstantDensity" href="#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantDensity(ρ=2900kg/m^3)</code></pre><p>Set a constant density:</p><p class="math-container">\[    \rho  = cst\]</p><p>where <span>$\rho$</span> is the density [<span>$kg/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Density/Density.jl#L38-L46">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.PT_Density" href="#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)</code></pre><p>Set a pressure and temperature-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 (1.0 - \alpha (T-T_0) + \beta  (P-P_0) )  \]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference temperature <span>$T_0$</span> and pressure <span>$P_0$</span>, <span>$\alpha$</span> is the temperature dependence of density and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Density/Density.jl#L81-L90">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.Compressible_Density" href="#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)</code></pre><p>Set a pressure-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 \exp(β*(P - P\_0))  \]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference pressure <span>$P_0$</span> and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Density/Density.jl#L132-L140">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To evaluate density within a user routine, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density" href="#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_density(P,T, s::PhaseDiagram_LookupTable)</code></pre><p>Interpolates density as a function of <code>T,P</code> from a lookup table  </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Density/Density.jl#L180-L183">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density!" href="#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I&lt;:Integer}</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; MatParam = (SetMaterialParams(Name=&quot;Mantle&quot;, Phase=1,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                        Density   = PT_Density()
+                        ),
+                    SetMaterialParams(Name=&quot;Crust&quot;, Phase=2,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),
+                        Density   = ConstantDensity(ρ=2900kg/m^3))
+                  );
+julia&gt; Phases = ones(Int64,400,400);
+julia&gt; Phases[:,20:end] .= 2
+julia&gt; rho     = zeros(size(Phases))
+julia&gt; T       =  ones(size(Phases))
+julia&gt; P       =  ones(size(Phases))*10
+julia&gt; compute_density!(rho, MatParam, Phases, P, T)
+julia&gt; rho
+400×400 Matrix{Float64}:
+2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮                            
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0</code></pre><p>The routine is made to minimize allocations:</p><pre><code class="language-julia hljs">julia&gt; using BenchmarkTools
+julia&gt; @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)
+    203.468 μs (0 allocations: 0 bytes)</code></pre><p>_____________________________________________________________________________________________________________________________   </p><pre><code class="nohighlight hljs">compute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Density/Density.jl#L209-L273">source</a></section></article><p>Note that density values are usually not used in itself in the governing PDE&#39;s, but usually in combination with other parameters, such as <span>$\rho g$</span> or <span>$\rho c_p$</span>. the non-dimensional value of <span>$\rho$</span> may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../materialparameters/">« Material Parameters</a><a class="docs-footer-nextpage" href="../creeplaws/">Creep laws »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Monday 3 October 2022 08:35">Monday 3 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Elasticity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li class="is-active"><a class="tocitem" href>Elasticity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Implemented-laws"><span>Implemented laws</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Elasticity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Elasticity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/elasticity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Elasticity"><a class="docs-heading-anchor" href="#Elasticity">Elasticity</a><a id="Elasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Elasticity" title="Permalink"></a></h1><p>Elasticity is, in geodynamics, often used in combination with viscous and plastic rheology.</p><h1 id="Implemented-laws"><a class="docs-heading-anchor" href="#Implemented-laws">Implemented laws</a><a id="Implemented-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-laws" title="Permalink"></a></h1><p>We provide the following elastic constitutive relationships:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantElasticity(G, ν, K, E)</code></pre><p>Structure that holds parameters for constant, isotropic, linear elasticity.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Elasticity/Elasticity.jl#L19-L23">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetConstantElasticity(; G=nothing, ν=nothing, E=nothing, Kb=nothing)</code></pre><p>This allows setting elastic parameters by specifying 2 out of the 4 elastic parameters <code>G</code> (Elastic shear modulus), <code>ν</code> (Poisson&#39;s ratio), <code>E</code> (Young&#39;s modulus), or <code>Kb</code> (bulk modulus).</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Elasticity/Elasticity.jl#L34-L38">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>We can compute the elastic strainrate with:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_εII</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_εII!</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../creeplaws/">« Creep laws</a><a class="docs-footer-nextpage" href="../plasticity/">Plasticity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Monday 3 October 2022 08:35">Monday 3 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.18/man/geounit/index.html b/v0.3.18/man/geounit/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>GeoUnit · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li class="is-active"><a class="tocitem" href>GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>GeoUnit</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>GeoUnit</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/geounit.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="GeoUnit"><a class="docs-heading-anchor" href="#GeoUnit"><code>GeoUnit</code></a><a id="GeoUnit-1"></a><a class="docs-heading-anchor-permalink" href="#GeoUnit" title="Permalink"></a></h1><p>Most parameters have physical units (100km, 9.81 ms⁻²). Yet, within numerical solvers it is usually not a good idea to compute with the actual SI units as they (at least in geosciences) tend to result in very large/small numbers, which can cause in roundoff errors.  Therefore, we usually convert the dimensional units into non-dimensional ones befeore starting computations. The results can than be converted back to more convenient units for us when we generate the output (plots, for example).</p><p>This requires a wauy to store the dimensions of a parameter, but also, once they are made nondimensional, the original units (otherwise we can&#39;t convert them back to dimensional values).</p><p>For that reason, we use the <code>GeoUnit</code> structure, defined as </p><pre><code class="language-julia hljs">struct GeoUnit{T,U}
+    val          :: T
+    unit         :: U
+    isdimensional:: Bool
+end</code></pre><p>You can define a GeoUnit as:</p><pre><code class="language-julia hljs">julia&gt; a = GeoUnit(100km)
+GeoUnit{dimensional, km}, 
+100.0
+julia&gt; b=GeoUnit(100s)
+GeoUnit{dimensional, s}, 
+100.0</code></pre><p>Dividing the two gives the expected result</p><pre><code class="language-julia hljs">julia&gt; c=a/b
+GeoUnit{dimensional, km s⁻¹·⁰}, 
+1.0</code></pre><p>Can also be a vector:</p><pre><code class="language-julia hljs">julia&gt; T = GeoUnit(100K:10.0K:1000K)
+GeoUnit{dimensional, K}, 
+100.0:10.0:1000.0</code></pre><p>The numerical value is obtained with:</p><pre><code class="language-julia hljs">julia&gt; NumValue(c)
+1.0</code></pre><p>It&#39;s unit with</p><pre><code class="language-julia hljs">julia&gt; Unit(c)
+km s⁻¹·⁰</code></pre><p>and the value with unit with</p><pre><code class="language-julia hljs">julia&gt; Value(c)
+1.0 km s⁻¹·⁰</code></pre><p>If you multiply or divide a <code>GeoUnit</code> with a normal number, we assume that you are no longer interested in the units and you&#39;ll get a Float64:</p><pre><code class="language-julia hljs">julia&gt; c*100
+100.0</code></pre><p>The value of the <code>GeoUnit</code> struct becomes clear once we non-dimensionalize it (as explained in more detail in a separate page). For that, first specify which characteristic values you want to use for non-dimensionalisation: </p><pre><code class="language-julia hljs">julia&gt; CharDim = GEO_units(length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas);</code></pre><p>Let&#39;s define a stress:</p><pre><code class="language-julia hljs">julia&gt; σ=GeoUnit(10MPa)
+GeoUnit{dimensional, MPa}, 
+10.0</code></pre><p>And transfer it to nondimensional units:</p><pre><code class="language-julia hljs">julia&gt; σ_nd = nondimensionalize(σ,CharDim)
+GeoUnit{nondimensional, MPa}, 
+0.9999999999999998</code></pre><p>Instead of 1e7 Pa, we now have 1.0; yet at the same time we know that the original unit of σ_nd was in MPa, which allows to transfer it back to dimensional units:</p><pre><code class="language-julia hljs">julia&gt; dimensionalize(σ_nd,CharDim)
+GeoUnit{dimensional, MPa}, 
+10.0</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../">« Home</a><a class="docs-footer-nextpage" href="../nondimensionalize/">Nondimensionalization »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Monday 3 October 2022 08:35">Monday 3 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.18/man/gravity/index.html b/v0.3.18/man/gravity/index.html
new file mode 100644
index 000000000..accf2ff09
--- /dev/null
+++ b/v0.3.18/man/gravity/index.html
@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Gravity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li class="is-active"><a class="tocitem" href>Gravity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Gravity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Gravity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/gravity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Gravitational-acceleration"><a class="docs-heading-anchor" href="#Gravitational-acceleration">Gravitational acceleration</a><a id="Gravitational-acceleration-1"></a><a class="docs-heading-anchor-permalink" href="#Gravitational-acceleration" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Gravitational acceleration is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">GravityConstant(g=9.81m/s^2)</code></pre><p>Set a constant value for the gravitational acceleration:</p><p class="math-container">\[    g  = 9.81 m s^{-2}\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/GravitationalAcceleration/GravitationalAcceleration.jl#L18-L25">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a> — <span class="docstring-category">Function</span></header><section><div><p>compute_gravity(s:&lt;AbstractGravity)</p><p>Returns the gravitational acceleration </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/GravitationalAcceleration/GravitationalAcceleration.jl#L59-L64">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../shearheating/">« Shear heating</a><a class="docs-footer-nextpage" href="../melting/">Partial Melting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Monday 3 October 2022 08:35">Monday 3 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.18/man/heatcapacity/index.html b/v0.3.18/man/heatcapacity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Heat Capacity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li class="is-active"><a class="tocitem" href>Heat Capacity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Heat Capacity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Heat Capacity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/heatcapacity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Heat-capacity"><a class="docs-heading-anchor" href="#Heat-capacity">Heat capacity</a><a id="Heat-capacity-1"></a><a class="docs-heading-anchor-permalink" href="#Heat-capacity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Heat capacity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity" href="#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantHeatCapacity(cp=1050J/mol/kg)</code></pre><p>Set a constant heat capacity:</p><p class="math-container">\[    cp  = cst\]</p><p>where <span>$cp$</span> is the thermal heat capacity [<span>$J/kg/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Energy/HeatCapacity.jl#L26-L34">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington" href="#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_HeatCapacity_Whittington()</code></pre><p>Sets a temperature-dependent heat capacity following the parameterization of Whittington et al. (2009), Nature:</p><p class="math-container">\[    Cp = (a + b T - c/T^2)/m \]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/kg/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <code>T</code>:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>molmass =   0.22178kg/mol </li></ul><p>Note that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than <span>$J/mol/K$</span> as in eq.3/4 of the paper)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Energy/HeatCapacity.jl#L59-L77">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">Cp = compute_heatcapacity(s:&lt;AbstractHeatCapacity, P, T)</code></pre><p>Returns the heat capacity <code>Cp</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the heat capacity laws implemented.</p><p>Currently available:</p><ul><li>ConstantHeatCapacity</li><li>T_HeatCapacity_Whittington</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia hljs">julia&gt; T  = (250:100:1250)*K;
+julia&gt; cp = T_HeatCapacity_Whittington()
+julia&gt; Cp = ComputeHeatCapacity(0,T,cp)
+11-element Vector{Unitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:
+  635.4269997294616 J kg⁻¹ K⁻¹
+  850.7470171764261 J kg⁻¹ K⁻¹
+  962.0959598489883 J kg⁻¹ K⁻¹
+ 1037.5420433770641 J kg⁻¹ K⁻¹
+ 1097.3517921966488 J kg⁻¹ K⁻¹
+ 1149.2745563671706 J kg⁻¹ K⁻¹
+ 1157.7915050948404 J kg⁻¹ K⁻¹
+ 1172.3554874197264 J kg⁻¹ K⁻¹
+ 1186.9194697445964 J kg⁻¹ K⁻¹
+  1201.483452069455 J kg⁻¹ K⁻¹
+ 1216.0474343943067 J kg⁻¹ K⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Energy/HeatCapacity.jl#L145-L175">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_heatcapacity!(Cp::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat})</code></pre><p>In-place computation of heat capacity <code>Cp</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Energy/HeatCapacity.jl#L197-L202">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plasticity/">« Plasticity</a><a class="docs-footer-nextpage" href="../conductivity/">Conductivity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Monday 3 October 2022 08:35">Monday 3 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.18/man/latentheat/index.html b/v0.3.18/man/latentheat/index.html
new file mode 100644
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+++ b/v0.3.18/man/latentheat/index.html
@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Latent heat · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li class="is-active"><a class="tocitem" href>Latent heat</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Latent heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Latent heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/latentheat.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Latent-heat"><a class="docs-heading-anchor" href="#Latent-heat">Latent heat</a><a id="Latent-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Latent-heat" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Latent heat (of crystallisation) is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat" href="#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantLatentHeat(Q_L=400kJ/kg)</code></pre><p>Set a constant latent heat:</p><p class="math-container">\[    Q_L  = cst\]</p><p>where <span>$Q_L$</span> is the latent heat [<span>$kJ/kg$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Energy/LatentHeat.jl#L23-L31">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.LatentHeat.compute_latent_heat</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../conductivity/">« Conductivity</a><a class="docs-footer-nextpage" href="../radioactiveheating/">Radioactive heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Monday 3 October 2022 08:35">Monday 3 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.18/man/listfunctions/index.html b/v0.3.18/man/listfunctions/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>List of functions · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li class="is-active"><a class="tocitem" href>List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>List of functions</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>List of functions</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/listfunctions.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="List-of-all-functions"><a class="docs-heading-anchor" href="#List-of-all-functions">List of all functions</a><a id="List-of-all-functions-1"></a><a class="docs-heading-anchor-permalink" href="#List-of-all-functions" title="Permalink"></a></h1><p>This page details the some of the guidelines that should be followed when contributing to this package.</p><ul><li><a href="../nondimensionalize/#GeoParams.Units"><code>GeoParams.Units</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington</code></a></li><li><a href="../latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a></li><li><a href="../phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_4thOrder"><code>GeoParams.MeltingParam.MeltingParam_4thOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_5thOrder"><code>GeoParams.MeltingParam.MeltingParam_5thOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Assimilation"><code>GeoParams.MeltingParam.MeltingParam_Assimilation</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Quadratic"><code>GeoParams.MeltingParam.MeltingParam_Quadratic</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.SmoothMelting"><code>GeoParams.MeltingParam.SmoothMelting</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.TASclassificationData"><code>GeoParams.TASclassification.TASclassificationData</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.ZirconAgeData"><code>GeoParams.ZirconAges.ZirconAgeData</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_dϕdT"><code>GeoParams.MeltingParam.compute_dϕdT</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_dϕdT!"><code>GeoParams.MeltingParam.compute_dϕdT!</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a></li><li><a href="../phasediagrams/#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.computeTASclassification"><code>GeoParams.TASclassification.computeTASclassification</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.retrieveTASrockType"><code>GeoParams.TASclassification.retrieveTASrockType</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.compute_zircon_age_PDF"><code>GeoParams.ZirconAges.compute_zircon_age_PDF</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.compute_zircons_Ttpath"><code>GeoParams.ZirconAges.compute_zircons_Ttpath</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.zircon_age_PDF"><code>GeoParams.ZirconAges.zircon_age_PDF</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a></li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plotting/">« Plotting</a><a class="docs-footer-nextpage" href="../contributing/">Contributing »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div 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Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.18/man/materialparameters/index.html b/v0.3.18/man/materialparameters/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Material Parameters · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li class="is-active"><a class="tocitem" href>Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Material Parameters</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Material Parameters</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/materialparameters.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="MaterialParameters"><a class="docs-heading-anchor" href="#MaterialParameters">MaterialParameters</a><a id="MaterialParameters-1"></a><a class="docs-heading-anchor-permalink" href="#MaterialParameters" title="Permalink"></a></h1><p>Material properties for a given phase can be set with <code>SetMaterialParams</code>, whereas all properties are  stored in the <code>MaterialParams</code> structure. Information about the material parameter is found at <code>MaterialParamsInfo</code>. This can be employed </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParamsInfo" href="#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MaterialParamsInfo</code></pre><p>Structure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.</p><p>Usually used in combination with <code>param_info(the_parameter_of_interest)</code></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/MaterialParameters.jl#L22-L30">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SetMaterialParams" href="#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetMaterialParams(; Name::String=&quot;&quot;, Phase::Int64=1,
+                    Density             =   nothing, 
+                    Gravity             =   nothing,
+                    CreepLaws           =   nothing, 
+                    Elasticity          =   nothing, 
+                    Plasticity          =   nothing, 
+                    CompositeRheology   =   nothing,
+                    Conductivity        =   nothing, 
+                    HeatCapacity        =   nothing, 
+                    RadioactiveHeat     =   nothing,
+                    LatentHeat          =   nothing,
+                    ShearHeat           =   nothing,
+                    Melting             =   nothing,
+                    SeismicVelocity     =   nothing,
+                    CharDim::GeoUnits   =   nothing)</code></pre><p>Sets material parameters for a given phase. </p><p>If <code>CharDim</code> is specified the input parameters are non-dimensionalized.   Note that if <code>Density</code> is specified, we also set <code>Gravity</code> even if not explicitly listed</p><p><strong>Examples</strong></p><p>Define two viscous creep laws &amp; constant density:</p><pre><code class="language-julia-repl hljs">julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;,
+                       Density   = ConstantDensity(),
+                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))
+Phase 1 : Viscous Matrix
+        | [dimensional units]
+        | 
+        |-- Density           : Constant density: ρ=2900 kg m⁻³ 
+        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  
+        |                       Linear viscosity: η=1.0e21 Pa s</code></pre><p>Define two viscous creep laws &amp; P/T dependent density and nondimensionalize</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);
+julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;, Phase=33,
+                              Density   = PT_Density(),
+                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),
+                              CharDim   = CharUnits_GEO)
+Phase 33: Viscous Matrix
+        | [non-dimensional units]
+        | 
+        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0 
+        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18 
+        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001  
+        |                       Linear viscosity: η=10000.0 </code></pre><p>You can also create an array that holds several parameters:</p><pre><code class="language-julia-repl hljs">julia&gt; MatParam        =   Array{MaterialParams, 1}(undef, 2);
+julia&gt; Phase           =   1;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Upper Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                            Density  = ConstantDensity(ρ=2900kg/m^3));
+julia&gt; Phase           =   2;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Lower Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),
+                            Density  = PT_Density(ρ0=3000kg/m^3));
+julia&gt; MatParam
+2-element Vector{MaterialParams}:
+ Phase 1 : Upper Crust
+    | [dimensional units]
+    | 
+    |-- Density           : Constant density: ρ=2900 kg m⁻³ 
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  
+    |                       Linear viscosity: η=1.0e23 Pa s 
+                            
+ Phase 2 : Lower Crust
+    | [dimensional units]
+    | 
+    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa 
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹  
+    |                       Linear viscosity: η=1.0e21 Pa s </code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/MaterialParameters.jl#L96-L181">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParams" href="#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MaterialParams</code></pre><p>Structure that holds all material parameters for a given phase</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/MaterialParameters.jl#L56-L61">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../nondimensionalize/">« Nondimensionalization</a><a class="docs-footer-nextpage" href="../density/">Density »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Monday 3 October 2022 08:35">Monday 3 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Partial Melting · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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class="is-active"><a class="tocitem" href>Partial Melting</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Plotting-routines"><span>Plotting routines</span></a></li></ul></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Partial Melting</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Partial Melting</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/melting.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Melting-Parameterizations"><a class="docs-heading-anchor" href="#Melting-Parameterizations">Melting Parameterizations</a><a id="Melting-Parameterizations-1"></a><a class="docs-heading-anchor-permalink" href="#Melting-Parameterizations" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>A number of melting parameterisations are implemented, which can be set with:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Caricchi" href="#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Caricchi()</code></pre><p>Implements the T-dependent melting parameterisation used by Caricchi, Simpson et al. (as for example described in Simpson) </p><p class="math-container">\[    \theta = {(a - (T + c)) \over b} \]</p><p class="math-container">\[    \phi_{melt} = {1.0 \over (1.0 + e^\theta)}\]</p><p>Note that T is in Kelvin. As default parameters we employ:</p><p class="math-container">\[b=23K,  a=800K , c=273.15K\]</p><p>Which gives a reasonable fit to experimental data of granodioritic composition (Piwinskii and Wyllie, 1968):</p><p><img src="../assets/img/MeltingParam_Caricchi.png" alt="MeltParam_Carrichi"/></p><p><strong>References</strong></p><ul><li>Simpson G. (2017) Practical finite element modelling in Earth Sciences Using MATLAB.</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/MeltFraction/MeltingParameterization.jl#L32-L54">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_5thOrder" href="#GeoParams.MeltingParam.MeltingParam_5thOrder"><code>GeoParams.MeltingParam.MeltingParam_5thOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_5thOrder(a,b,c,d,e,f,T_s,T_l)</code></pre><p>Uses a 5th order polynomial to describe the melt fraction <code>phi</code> between solidus temperature <code>T_s</code> and liquidus temperature <code>T_l</code></p><p class="math-container">\[    \phi = a T^5 + b T^4 + c T^3 + d T^2 + e T + f  \textrm{   for   } T_s ≤ T ≤ T_l\]</p><p class="math-container">\[    \phi = 1  \textrm{   if   } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0  \textrm{   if   } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_5thorder.png" alt="MeltingParam_5thOrder"/></p><p>The default values are for a composite liquid-line-of-descent:</p><ul><li>the upper part is for Andesite from: (Blatter, D. L. &amp; Carmichael, I. S. (2001) Hydrous phase equilibria of a Mexican highsilica andesite: a candidate for a mantle origin? Geochim. Cosmochim. Acta 65, 4043–4065</li><li>the lower part is extrapolated to the granitic minimum using the Marxer &amp; Ulmer LLD for Andesite (Marxer, F. &amp; Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. <em>Contributions Mineral. Petrol.</em> 174, 84)</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/MeltFraction/MeltingParameterization.jl#L106-L127">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_4thOrder" href="#GeoParams.MeltingParam.MeltingParam_4thOrder"><code>GeoParams.MeltingParam.MeltingParam_4thOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_4thOrder(b,c,d,e,f,T_s,T_l)</code></pre><p>Uses a 4th order polynomial to describe the melt fraction <code>phi</code> between solidus temperature <code>T_s</code> and liquidus temperature <code>T_l</code></p><p class="math-container">\[    \phi = b T^4 + c T^3 + d T^2 + e T + f  \textrm{   for   } T_s ≤ T ≤ T_l\]</p><p class="math-container">\[    \phi = 1 \textrm{   if   } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0  \textrm{   if   } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_4thorder.png" alt="MeltingParam_4thOrder"/></p><p>The default values are for Tonalite experiments from Marxer and Ulmer (2019):</p><ul><li>Marxer, F. &amp; Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. <em>Contributions Mineral. Petrol.</em> 174, 84</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/MeltFraction/MeltingParameterization.jl#L191-L211">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Quadratic" href="#GeoParams.MeltingParam.MeltingParam_Quadratic"><code>GeoParams.MeltingParam.MeltingParam_Quadratic</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Quadratic(T_s,T_l)</code></pre><p>Quadratic melt fraction parameterisation where melt fraction <span>$\phi$</span> depends only on solidus (<span>$T_s$</span>) and liquidus (<span>$T_l$</span>) temperature:</p><p class="math-container">\[    \phi = 1.0 - \left( {T_l - T} \over {T_l - T_s} \right)^2\]</p><p class="math-container">\[    \phi = 1.0 \textrm{ if } T&gt;T_l \]</p><p class="math-container">\[    \phi = 0.0 \textrm{ if } T&lt;T_s \]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_Quadratic.png" alt="MeltingParam_Quadratic"/></p><p>This was used, among others, in Tierney et al. (2016) Geology</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/MeltFraction/MeltingParameterization.jl#L282-L301">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Assimilation" href="#GeoParams.MeltingParam.MeltingParam_Assimilation"><code>GeoParams.MeltingParam.MeltingParam_Assimilation</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Assimilation(T_s,T_l,a)</code></pre><p>Melt fraction parameterisation that takes the assimilation of crustal host rocks into account, as used by Tierney et al. (2016) based upon a parameterisation of Spera and Bohrson (2001)</p><p>Here, the fraction of molten and assimilated host rocks <span>$\phi$</span> depends on the solidus (<span>$T_s$</span>) and liquidus (<span>$T_l$</span>) temperatures of the rocks, as well as on a parameter <span>$a=0.005$</span></p><p class="math-container">\[    X = \left( {T - T_s} \over {T_l - T_s} \right)\]</p><p class="math-container">\[    \phi = a \cdot \left( \exp^{2ln(100)X} - 1.0 \right) \textrm{ if } X ≤ 0.5\]</p><p class="math-container">\[    \phi = 1- a \cdot \exp^{2ln(100)(1-X)}  \textrm{ if } X &gt; 0.5\]</p><p class="math-container">\[    \phi = 1.0 \textrm{ if } T&gt;T_l \]</p><p class="math-container">\[    \phi = 0.0 \textrm{ if } T&lt;T_s \]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_Assimilation.png" alt="MeltingParam_Assimilation"/></p><p>This was used, among others, in Tierney et al. (2016), who employed as default parameters:</p><p class="math-container">\[   T_s=973.15, T_l=1173.15, a=0.005\]</p><p><strong>References</strong></p><ul><li>Spera, F.J., and Bohrson, W.A., 2001, Energy-Constrained Open-System Magmatic Processes I: General Model and Energy-Constrained Assimilation and Fractional Crystallization (EC- AFC) Formulation: Journal of Petrology, v. 42, p. 999–1018.</li><li>Tierney, C.R., Schmitt, A.K., Lovera, O.M., de Silva, S.L., 2016. Voluminous plutonism during volcanic quiescence revealed by thermochemical modeling of zircon. Geology 44, 683–686. https://doi.org/10.1130/G37968.1</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/MeltFraction/MeltingParameterization.jl#L356-L391">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.SmoothMelting" href="#GeoParams.MeltingParam.SmoothMelting"><code>GeoParams.MeltingParam.SmoothMelting</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">SmoothMelting(; p=MeltingParam_4thOrder(), k_sol=0.2/K,  k_liq=0.2/K)</code></pre><p>This smoothens the melting parameterisation <span>$p$</span> around the solidus <span>$T_{sol}$</span> and liquidus <span>$T_{liq}$</span> using a smoothened Heaviside step functions for the solidus:</p><p class="math-container">\[    H_{sol} =  {1.0 \over { 1 + \exp( -2 k_{sol} (T - T_{sol} - {2 \over k_{sol}}) )  }}\]</p><p>and liquidus:        </p><p class="math-container">\[    H_{liq} =  1.0 - {1.0 \over { 1 + \exp( -2 k_{liq} (T - T_{liq} + {2 \over k_{liq}}) )  }}\]</p><p>The resulting melt fraction <span>$\phi$</span> is computed from the original melt fraction <span>$\phi_0$</span> (computed using one of the methods above) as:</p><p class="math-container">\[    \phi =  \phi_0 H_{sol} H_{liq} + 1.0 - H_{liq}\]</p><p>The width of the smoothening zones is controlled by <span>$k_{sol}, k_{liq}$</span> (larger values = sharper boundary).</p><p>This is important, as jumps in the derivative <span>$dϕ/dT$</span> can cause numerical instabilities in latent heat computations, which is prevented with this smoothening.</p><p><strong>Example</strong></p><p>Let&#39;s consider a 4th order parameterisation:</p><pre><code class="language-julia hljs">julia&gt; using GeoParams, Plots
+julia&gt; p = MeltingParam_4thOrder();
+julia&gt; T= collect(650.0:1:1050.) .+ 273.15;
+julia&gt; T,phi,dϕdT =  PlotMeltFraction(p,T=T);</code></pre><p>The same but with smoothening:</p><pre><code class="language-julia hljs">julia&gt; p_s = SmoothMelting(p=MeltingParam_4thOrder(), k_liq=0.21/K);
+4th order polynomial melting curve: phi = -7.594512597174117e-10T^4 + 3.469192091489447e-6T^3 + -0.00592352980926T^2 + 4.482855645604745T + -1268.730161921053  963.15 K ≤ T ≤ 1270.15 K with smooth Heaviside function smoothening using k_sol=0.1 K⁻¹·⁰, k_liq=0.11 K⁻¹·⁰
+julia&gt; T_s,phi_s,dϕdT_s =  PlotMeltFraction(p_s,T=T);</code></pre><p>We can create plots of this with:</p><pre><code class="language-julia hljs">julia&gt; plt1 = plot(T.-273.15, phi, ylabel=&quot;Melt Fraction ϕ&quot;, color=:red, label=&quot;original&quot;, xlabel=&quot;Temperature [C]&quot;)
+julia&gt; plt1 = plot(plt1, T.-273.15, phi_s,  color=:black, label=&quot;smoothened&quot;, legend=:bottomright)
+julia&gt; plt2 = plot(T.-273.15, dϕdT, ylabel=&quot;dϕ/dT&quot;, color=:red, label=&quot;original&quot;, xlabel=&quot;Temperature [C]&quot;)
+julia&gt; plt2 = plot(plt2, T.-273.15, dϕdT_s,  color=:black, label=&quot;smoothened&quot;, legend=:topright)
+julia&gt; plot!(plt1,plt2,   xlabel=&quot;Temperature [C]&quot;, layout=(2,1))</code></pre><p>The derivative no longer has a jump now:</p><p><img src="../assets/img/MeltingParam_Smooth.png" alt="MeltingParam_Smooth"/></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/MeltFraction/MeltingParameterization.jl#L474-L525">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute the melt fraction at given <code>T</code> and <code>P</code>, use:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction!" href="#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_meltfraction!(ϕ::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T:AbstractArray{&lt;:AbstractFloat}, p::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/MeltFraction/MeltingParameterization.jl#L622-L626">source</a></section><section><div><pre><code class="nohighlight hljs">compute_meltfraction(ϕ::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/MeltFraction/MeltingParameterization.jl#L709-L713">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction" href="#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_meltfraction(P,T, p::AbstractPhaseDiagramsStruct)</code></pre><p>Computes melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/MeltFraction/MeltingParameterization.jl#L610-L614">source</a></section><section><div><pre><code class="nohighlight hljs">ϕ = compute_meltfraction(Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/MeltFraction/MeltingParameterization.jl#L702-L706">source</a></section></article><p>You can also obtain the derivative of melt fraction versus temperature with (useful to compute latent heat effects):</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_dϕdT!" href="#GeoParams.MeltingParam.compute_dϕdT!"><code>GeoParams.MeltingParam.compute_dϕdT!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_dϕdT!(ϕ::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computates the derivative of melt fraction <code>ϕ</code> versus temperature <code>T</code>, <span>${\partial \phi} \over {\partial T}$</span> for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This is employed, for example, in computing latent heat terms in an implicit manner.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/MeltFraction/MeltingParameterization.jl#L724-L729">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_dϕdT" href="#GeoParams.MeltingParam.compute_dϕdT"><code>GeoParams.MeltingParam.compute_dϕdT</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_dϕdT(P,T, p::AbstractPhaseDiagramsStruct)</code></pre><p>Computes derivative of melt fraction vs T in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified. The derivative is computed by finite differencing.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/MeltFraction/MeltingParameterization.jl#L629-L634">source</a></section><section><div><pre><code class="nohighlight hljs">ϕ = compute_dϕdT(Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computates the derivative of melt fraction ϕ versus temperature <code>T</code> for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This is employed in computing latent heat terms in an implicit manner, for example</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/MeltFraction/MeltingParameterization.jl#L716-L721">source</a></section></article><p>Also note that phase diagrams can be imported using <code>PerpleX_LaMEM_Diagram</code>, which may also have melt content information.  The computational routines work with that as well.</p><h1 id="Plotting-routines"><a class="docs-heading-anchor" href="#Plotting-routines">Plotting routines</a><a id="Plotting-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting-routines" title="Permalink"></a></h1><p>You can use the routine <code>PlotMeltFraction</code> to create a plot, provided that the <code>Plots</code> package has been loaded</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotMeltFraction</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../gravity/">« Gravity</a><a class="docs-footer-nextpage" href="../TASclassification/">TAS classification »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Monday 3 October 2022 08:35">Monday 3 October 2022</span>. 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class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li class="is-active"><a class="tocitem" href>Nondimensionalization</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Specify-characteristic-values"><span>Specify characteristic values</span></a></li><li class="toplevel"><a class="tocitem" href="#(Non)-dimensionalize-parameters"><span>(Non)-dimensionalize parameters</span></a></li></ul></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" 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is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Nondimensionalization</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Nondimensionalization</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/nondimensionalize.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Nondimensionalization"><a class="docs-heading-anchor" href="#Nondimensionalization">Nondimensionalization</a><a id="Nondimensionalization-1"></a><a class="docs-heading-anchor-permalink" href="#Nondimensionalization" title="Permalink"></a></h1><p>Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between <code>GEO</code>, <code>SI</code> or <code>NO</code> units:</p><ul><li><code>SI</code> units assume all input and output is in <code>SI</code> units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).</li><li><code>GEO</code> units uses <code>SI</code> units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as <code>Myrs</code>,<code>km</code> or <code>MPa</code></li><li><code>NO</code> units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that <code>velocity</code> is given in <code>m/s</code>).</li></ul><p>A dimensional parameter can be transformed into a non-dimensional one with <code>nondimensionalize</code>.</p><h1 id="Specify-characteristic-values"><a class="docs-heading-anchor" href="#Specify-characteristic-values">Specify characteristic values</a><a id="Specify-characteristic-values-1"></a><a class="docs-heading-anchor-permalink" href="#Specify-characteristic-values" title="Permalink"></a></h1><p>Characteristic values can be defined in 3 ways.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units" href="#GeoParams.Units"><code>GeoParams.Units</code></a> — <span class="docstring-category">Module</span></header><section><div><pre><code class="language-julia hljs">This provides units and creates a non-dimensionalization object</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Units.jl#L1-L3">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.AbstractGeoUnit" href="#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><p>AbstractGeoUnit</p><p>Abstract supertype for geo units.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Units.jl#L96-L100">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnit" href="#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.
+
+Having that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.
+With the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Units.jl#L110-L117">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnits" href="#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">GeoUnits
+
+Structure that holds parameters used for non-dimensionalization</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Units.jl#L290-L294">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GEO_units" href="#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)</code></pre><p>Creates a non-dimensionalization object using GEO units.</p><p>GEO units implies that upon dimensionalization, <code>time</code> will be in <code>Myrs</code>, <code>length</code> in <code>km</code>, stress in <code>MPa</code>, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (<code>km</code> or <code>m</code>), provided the unit is specified.</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = GEO_units()
+Employing GEO units 
+Characteristic values: 
+         length:      1000 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C
+julia&gt; CharUnits.velocity
+1.0e-7 m s⁻¹</code></pre><p>If we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic <code>length</code>:</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = GEO_units(length=10km)
+Employing GEO units 
+Characteristic values: 
+         length:      10 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Units.jl#L342-L373">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.SI_units" href="#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)</code></pre><p>Specify the characteristic values using SI units </p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = SI_units(length=1000m)
+Employing SI units 
+Characteristic values: 
+         length:      1000 m
+         time:        1.0e19 s
+         stress:      10 Pa
+         temperature: 1000.0 K</code></pre><p>Note that the same can be achieved if the input is given in <code>km</code>:</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = SI_units(length=1km)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Units.jl#L412-L431">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.NO_units" href="#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)</code></pre><p>Specify the characteristic values in non-dimensional units</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GeoParams;
+julia&gt; CharUnits = NO_units()
+Employing NONE units 
+Characteristic values: 
+         length:      1
+         time:        1.0 
+         stress:      1
+         temperature: 1.0</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Units.jl#L470-L486">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_val" href="#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia hljs">This unpacks the numerical value of `GeoUnit` in a structure, without the units.
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_val ρ,α = r
+julia&gt; α
+4.0e-5
+julia&gt; typeof(α)
+Float64</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/unpack.jl#L4-L23">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_units" href="#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia hljs">This unpacks the numerical value with units of `GeoUnit` parameters in a structure
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_units ρ,α = r
+julia&gt; α
+4.0e-5 K⁻¹·⁰
+julia&gt; typeof(α)
+Quantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/unpack.jl#L46-L65">source</a></section></article><h1 id="(Non)-dimensionalize-parameters"><a class="docs-heading-anchor" href="#(Non)-dimensionalize-parameters">(Non)-dimensionalize parameters</a><a id="(Non)-dimensionalize-parameters-1"></a><a class="docs-heading-anchor-permalink" href="#(Non)-dimensionalize-parameters" title="Permalink"></a></h1><p>Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.nondimensionalize" href="#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">nondimensionalize(param, CharUnits::GeoUnits{TYPE})</code></pre><p>Nondimensionalizes <code>param</code> using the characteristic values specified in <code>CharUnits</code></p><p><strong>Example 1</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GeoParams;
+julia&gt; CharUnits =   GEO_units();
+julia&gt; v         =   3cm/yr
+3 cm yr⁻¹ 
+julia&gt; v_ND      =   nondimensionalize(v, CharUnits) 
+0.009506426344208684</code></pre><p><strong>Example 2</strong></p><p>In geodynamics one sometimes encounters more funky units</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits =   GEO_units();
+julia&gt; A         =   6.3e-2MPa^-3.05*s^-1
+0.063 MPa⁻³·⁰⁵ s⁻¹
+julia&gt; A_ND      =   nondimensionalize(A, CharUnits) 
+7.068716262102384e14</code></pre><p>In case you are interested to see how the units of <code>A</code> look like in different units, use this function from the <a href="https://github.com/PainterQubits/Unitful.jl">Unitful</a> package:</p><pre><code class="language-julia-repl hljs">julia&gt; uconvert(u&quot;Pa^-3.05*s^-1&quot;,A) 
+3.157479571851836e-20 Pa⁻³·⁰⁵</code></pre><p>and to see it decomposed in the basic <code>SI</code> units of length, mass and time:</p><pre><code class="language-julia-repl hljs">julia&gt; upreferred(A)
+3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Units.jl#L520-L554">source</a></section><section><div><pre><code class="nohighlight hljs">MatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Non-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Units.jl#L608-L613">source</a></section><section><div><pre><code class="nohighlight hljs">nondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>nondimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Units.jl#L657-L661">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.dimensionalize" href="#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes <code>param</code> into the dimensions <code>param_dim</code> using the characteristic values specified in <code>CharUnits</code>.  </p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits =   GEO_units();
+julia&gt; v_ND      =   nondimensionalize(3cm/yr, CharUnits) 
+0.031688087814028945
+julia&gt; v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) 
+3.0 cm yr⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Units.jl#L695-L709">source</a></section><section><div><pre><code class="nohighlight hljs">dimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Units.jl#L730-L735">source</a></section><section><div><pre><code class="nohighlight hljs">Dimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>Dimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Units.jl#L755-L759">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.isDimensional" href="#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">isDimensional(MatParam::AbstractMaterialParam)</code></pre><p><code>true</code> if MatParam is in dimensional units.    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Units.jl#L780-L784">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../geounit/">« GeoUnit</a><a class="docs-footer-nextpage" href="../materialparameters/">Material Parameters »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Monday 3 October 2022 08:35">Monday 3 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.18/man/phasediagrams/index.html b/v0.3.18/man/phasediagrams/index.html
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@@ -0,0 +1,12 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Phase Diagrams · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li class="is-active"><a class="tocitem" href>Phase Diagrams</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Perple_X"><span>Perple_X</span></a></li></ul></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Phase Diagrams</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Phase Diagrams</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/phasediagrams.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Phase-Diagrams"><a class="docs-heading-anchor" href="#Phase-Diagrams">Phase Diagrams</a><a id="Phase-Diagrams-1"></a><a class="docs-heading-anchor-permalink" href="#Phase-Diagrams" title="Permalink"></a></h1><p>It is possible to employ phase diagrams as lookup tables, which can be used to compute density, melt fraction or seismic properties, for example. </p><h1 id="Perple_X"><a class="docs-heading-anchor" href="#Perple_X">Perple_X</a><a id="Perple_X-1"></a><a class="docs-heading-anchor-permalink" href="#Perple_X" title="Permalink"></a></h1><p>A popular way to compute phase diagrams (pseudosections) for a given (fixed) chemical composition as a function of pressure and temperature is by using <a href="https://www.perplex.ethz.ch">Perple_X</a>. Once a stable assemblage is computed, through Gibbs energy minimisation, it allows you to output a large number of properties such as density, melt fraction or seismic velocities.</p><p>Within GeoParams, we can import this diagram (provided it is formatted in the same manner as <code>LaMEM</code> expects <code>Perple_X</code> input to be).</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PerpleX_LaMEM_Diagram" href="#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">PD_Data = PerpleX_LaMEM_Diagram(fname::String; CharDim = nothing)</code></pre><p>Reads a precomputed phase diagram in the <code>LaMEM/Perple_X</code> format (which is a phase diagram computed using <code>Perple_X</code>, but formatted in a manner that is readable using LaMEM). The data is stored in the <code>PhaseDiagram_LookupTable</code> structure.</p><p>If the <code>CharDim</code> object is specified, the values of all diagrams will be non-dimensionalized.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; PD_Data = PerpleX_LaMEM_Diagram(&quot;./test_data/Peridotite.in&quot;)
+Perple_X/LaMEM Phase Diagram Lookup Table: 
+                      File    :   ./test_data/Peridotite.in
+                      T       :   293.0 - 1573.000039
+                      P       :   1.0e7 - 2.9999999944e9
+                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp
+                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs
+                                  :Vp, :Vs, :VpVs</code></pre><p>Once imported, the properties on the diagram can be interpolated in a simple manner:</p><pre><code class="nohighlight hljs">julia&gt; PD_Data.Rho(1500,1e7)
+3042.836820256982</code></pre><p>This also works for vectors or arrays:</p><pre><code class="language-julia hljs">julia&gt; T = [1500 1800; 1233 1300]
+julia&gt; P = [1e8 1e9; 1e7 1e7]
+julia&gt; rho = PD_Data.Rho.(T,P)</code></pre><p>(Note the dot <code>.</code> in front of the bracket while evaluating arrays).</p><p>The fields that are available depend on what is listed in the diagram file.  The units of the fields are automatically evaluated, and employed to non-dimensionalize the parameters if <code>CharDim</code> is specified. </p><p><strong>Algorithm</strong></p><p>Internally, we employ linear interpolation, as provided by the <a href="https://github.com/JuliaMath/Interpolations.jl">Interpolations.jl</a> package. Values outside the range of the diagram are set to the boundary of the diagram. The interpolation object is directly encoded in the <code>PhaseDiagram_LookupTable</code>` object.  </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/PhaseDiagrams/PhaseDiagrams.jl#L44-L85">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable" href="#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Contains data of a Phase Diagram that is regularly spaced in P &amp; T</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/PhaseDiagrams/PhaseDiagrams.jl#L14-L16">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../zirconages/">« Zircon Ages</a><a class="docs-footer-nextpage" href="../seismicvelocity/">Seismic Velocity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Monday 3 October 2022 08:35">Monday 3 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.18/man/plasticity/index.html b/v0.3.18/man/plasticity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Plasticity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li class="is-active"><a class="tocitem" href>Plasticity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Implemented-laws"><span>Implemented  laws</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Plasticity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Plasticity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/plasticity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Plasticity"><a class="docs-heading-anchor" href="#Plasticity">Plasticity</a><a id="Plasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Plasticity" title="Permalink"></a></h1><p>Plasticity is a non;linear rheology bthat is actrivated once stresses exceed a certain yield criteria.</p><h1 id="Implemented-laws"><a class="docs-heading-anchor" href="#Implemented-laws">Implemented  laws</a><a id="Implemented-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-laws" title="Permalink"></a></h1><p>The following plastic law are implemented:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.Plasticity.DruckerPrager</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>Once a plastic rheology is defined, we can use the following routines to perform computations within the solvers</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.Plasticity.compute_yieldfunction</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.Plasticity.compute_yieldfunction!</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../elasticity/">« Elasticity</a><a class="docs-footer-nextpage" href="../heatcapacity/">Heat Capacity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Monday 3 October 2022 08:35">Monday 3 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.18/man/plotting/index.html b/v0.3.18/man/plotting/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Plotting · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li class="is-active"><a class="tocitem" href>Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Plotting</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Plotting</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/plotting.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Plotting"><a class="docs-heading-anchor" href="#Plotting">Plotting</a><a id="Plotting-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting" title="Permalink"></a></h1><p>We provide a number of plotting routines. Note that these plotting routines only become available once the <code>Plots</code> package is loaded.</p><h3 id="Plot-CreepLaws"><a class="docs-heading-anchor" href="#Plot-CreepLaws">Plot CreepLaws</a><a id="Plot-CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#Plot-CreepLaws" title="Permalink"></a></h3><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotStressStrainrate_CreepLaw</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotHeatCapacity</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotConductivity</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotMeltFraction</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotPhaseDiagram</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../seismicvelocity/">« Seismic Velocity</a><a class="docs-footer-nextpage" href="../listfunctions/">List of functions »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Monday 3 October 2022 08:35">Monday 3 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.18/man/radioactiveheating/index.html b/v0.3.18/man/radioactiveheating/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Radioactive heat · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li class="is-active"><a class="tocitem" href>Radioactive heat</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Radioactive heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Radioactive heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/radioactiveheating.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Radioactive-heat"><a class="docs-heading-anchor" href="#Radioactive-heat">Radioactive heat</a><a id="Radioactive-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Radioactive-heat" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Radioactive heat sources are defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat" href="#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)</code></pre><p>Set a constant radioactive heat:</p><p class="math-container">\[    H_r  = cst\]</p><p>where <span>$H_r$</span> is the radioactive heat source [<span>$Watt/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Energy/RadioactiveHeat.jl#L24-L32">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat" href="#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ExpDepthDependent(H_0=1e-6Watt/m^3, h_r=10e3m, z_0=0m)</code></pre><p>Sets an exponential depth-dependent radioactive </p><p class="math-container">\[    H_r  = H_0 \exp \left( {- {(z - z_0) \over h_r}} \right)\]</p><p>where <span>$H_0$</span> is the radioactive heat source [<span>$Watt/m^3$</span>] at <span>$z=z_0$</span> which decays with depth over a characteristic distance <span>$h_r$</span>.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Energy/RadioactiveHeat.jl#L64-L72">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat!</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../latentheat/">« Latent heat</a><a class="docs-footer-nextpage" href="../shearheating/">Shear heating »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Monday 3 October 2022 08:35">Monday 3 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.18/man/seismicvelocity/index.html b/v0.3.18/man/seismicvelocity/index.html
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Seismic Velocity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li class="is-active"><a class="tocitem" href>Seismic Velocity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-velocity-correction-for-partial-melt"><span>Seismic velocity correction for partial melt</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-2"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-2"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity"><span>Seismic S-wave velocity correction for (shallow depth) porosity</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-3"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-3"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-velocity-correction-for-anelasticity"><span>Seismic velocity correction for anelasticity</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-4"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-4"><span>Computational routines</span></a></li></ul></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Seismic Velocity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Seismic Velocity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/seismicvelocity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Seismic-velocity"><a class="docs-heading-anchor" href="#Seismic-velocity">Seismic velocity</a><a id="Seismic-velocity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Seismic velocity can specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity" href="#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)</code></pre><p>Set a constant seismic P and S-wave velocity:</p><p class="math-container">\[    V_p = cst\]</p><p class="math-container">\[    V_s = cst\]</p><p>where <span>$V_p, V_s$</span> are the P-wave and S-wave velocities [<span>$km/s$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/SeismicVelocity/SeismicVelocity.jl#L35-L46">source</a></section></article><p>In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.</p><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To evaluate seismic velocity within a user routine, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_swave_velocity!</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_pwave_velocity!</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_pwave_velocity</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_swave_velocity</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-velocity-correction-for-partial-melt"><a class="docs-heading-anchor" href="#Seismic-velocity-correction-for-partial-melt">Seismic velocity correction for partial melt</a><a id="Seismic-velocity-correction-for-partial-melt-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity-correction-for-partial-melt" title="Permalink"></a></h1><h1 id="Methods-2"><a class="docs-heading-anchor" href="#Methods-2">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-2" title="Permalink"></a></h1><p>The routine uses the reduction formulation of Clark et al., (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.</p><h1 id="Computational-routines-2"><a class="docs-heading-anchor" href="#Computational-routines-2">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-2" title="Permalink"></a></h1><p>To compute melt-content based correction for seismic waves velocities, you can use:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.melt_correction</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity"><a class="docs-heading-anchor" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity">Seismic S-wave velocity correction for (shallow depth) porosity</a><a id="Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity" title="Permalink"></a></h1><h1 id="Methods-3"><a class="docs-heading-anchor" href="#Methods-3">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-3" title="Permalink"></a></h1><p>Ths routine is based on the equilibrium geometry model for the solid skeleton of Takei et al. (1998) and the porosity-depth empirical relationship of Chen et al. (2020)</p><h1 id="Computational-routines-3"><a class="docs-heading-anchor" href="#Computational-routines-3">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-3" title="Permalink"></a></h1><p>To compute porosity based correction for seismic S-wave velocity, you can use:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.porosity_correction</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-velocity-correction-for-anelasticity"><a class="docs-heading-anchor" href="#Seismic-velocity-correction-for-anelasticity">Seismic velocity correction for anelasticity</a><a id="Seismic-velocity-correction-for-anelasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity-correction-for-anelasticity" title="Permalink"></a></h1><h1 id="Methods-4"><a class="docs-heading-anchor" href="#Methods-4">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-4" title="Permalink"></a></h1><p>The routine uses the reduction formulation of karato (1993), using the quality factor formulation from Behn et al. (2009)</p><h1 id="Computational-routines-4"><a class="docs-heading-anchor" href="#Computational-routines-4">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-4" title="Permalink"></a></h1><p>To compute a correction of S-wave velocity for anelasticity, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction" href="#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">    Vs_anel = anelastic_correction(water::Int64, Vs0::Float64,P::Float64,T::Float64)</code></pre><p>This routine computes a correction of S-wave velocity for anelasticity</p><p><strong>Input:</strong></p><ul><li><code>water</code>: water flag, 0 = dry; 1 = dampened; 2 = water saturated </li><li><code>Vs0</code>  : S-wave velocitiy of the solid phase (with or without melt correction)</li><li><code>P</code>    : pressure given in Pa</li><li><code>T</code>    : temperature given in °K</li></ul><p><strong>Output:</strong></p><ul><li><code>Vs_anel</code> : corrected S-wave velocity for anelasticity</li></ul><p>The routine uses the reduction formulation of Karato (1993), using the quality factor formulation from Behn et al. (2009)</p><p><strong>References:</strong></p><ul><li><p>Karato, S. I. (1993). Importance of anelasticity in the interpretation of seismic tomography. Geophysical research letters, 20(15), 1623-1626.</p></li><li><p>Behn, M. D., Hirth, G., &amp; Elsenbeck II, J. R. (2009). Implications of grain size evolution on the seismic structure of the oceanic upper mantle. Earth and Planetary Science Letters, 282(1-4), 178-189.</p></li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/SeismicVelocity/SeismicVelocity.jl#L354-L381">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../phasediagrams/">« Phase Diagrams</a><a class="docs-footer-nextpage" href="../plotting/">Plotting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Monday 3 October 2022 08:35">Monday 3 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Shear heating · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li class="is-active"><a class="tocitem" href>Shear heating</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Shear heating</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Shear heating</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/shearheating.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Shear-heating"><a class="docs-heading-anchor" href="#Shear-heating">Shear heating</a><a id="Shear-heating-1"></a><a class="docs-heading-anchor-permalink" href="#Shear-heating" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Heat caused by non-recoverable deformation can be specified in </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.ConstantShearheating" href="#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantShearheating(Χ=0.0NoUnits)</code></pre><p>Set the shear heating efficiency [0-1] parameter</p><p class="math-container">\[Χ  = cst\]</p><p>where <span>$\Chi$</span> is the shear heating efficiency [NoUnits]</p><p>Shear heating is computed as</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}(\dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Energy/Shearheating.jl#L22-L36">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">H_s = compute_shearheating(s:&lt;AbstractShearheating, τ, ε, ε_el)</code></pre><p>Computes the shear heating source term</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Energy/Shearheating.jl#L79-L94">source</a></section><section><div><pre><code class="nohighlight hljs">H_s = ComputeShearheating(s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij} \]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Energy/Shearheating.jl#L97-L110">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating!" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_shearheating!(H_s, s:&lt;AbstractShearheating,  τ, ε, ε_el)</code></pre><p>Computes the shear heating source term in-place</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul><p><em>NOTE:</em> The shear heating terms require the full deviatoric stress &amp; strain rate tensors, i.e.:</p><p class="math-container">\[2D: \tau_{ij} = \left(   
+                \begin{matrix}
+                    \tau_{xx} &amp; \tau_{xz} \\
+                    \tau_{zx} &amp; \tau_{zz} 
+                \end{matrix} 
+            \right)\]</p><p>Since <span>$\tau_{zx}=\tau_{xz}$</span>, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used! </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Energy/Shearheating.jl#L115-L142">source</a></section><section><div><pre><code class="nohighlight hljs">compute_shearheating!(H_s, s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term <code>H_s</code> in-place when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij} \]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/Energy/Shearheating.jl#L145-L158">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../radioactiveheating/">« Radioactive heat</a><a class="docs-footer-nextpage" href="../gravity/">Gravity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Monday 3 October 2022 08:35">Monday 3 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul 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class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li class="is-active"><a class="tocitem" href>Zircon Ages</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Zircon Ages</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Zircon Ages</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/zirconages.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Zircon-age-parameterizations"><a class="docs-heading-anchor" href="#Zircon-age-parameterizations">Zircon age parameterizations</a><a id="Zircon-age-parameterizations-1"></a><a class="docs-heading-anchor-permalink" href="#Zircon-age-parameterizations" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Zircons are one of the ways in which we can date the age &amp; activity of magmatic systems.  Here, we provide a computational routine that computes the zircon age distribution from temperature-time paths</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.ZirconAgeData" href="#GeoParams.ZirconAges.ZirconAgeData"><code>GeoParams.ZirconAges.ZirconAgeData</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ZirconAgeData</code></pre><p>Struct that holds default parameters for the calculations</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/ZirconAge/ZirconAges.jl#L27-L31">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>There is one main routine with which you can compute zircon age probability density functions from a range of temperature-ime paths:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.compute_zircon_age_PDF" href="#GeoParams.ZirconAges.compute_zircon_age_PDF"><code>GeoParams.ZirconAges.compute_zircon_age_PDF</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">time_Ma, PDF_zircons, time_Ma_average, PDF_zircon_average, time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF = compute_zircon_age_PDF(time_years_vecs::Vector{Vector}, Tt_paths_Temp_vecs::Vector{Vector}; ZirconData::ZirconAgeData = ZirconAgeData(), bandwidth=bandwidth, n_analyses=300)</code></pre><p>This computes the PDF (probability density function) with zircon age data from Vectors with Tt-paths	</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/ZirconAge/ZirconAges.jl#L296-L301">source</a></section></article><p>This, in turn, calls two other routines:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.compute_zircons_Ttpath" href="#GeoParams.ZirconAges.compute_zircons_Ttpath"><code>GeoParams.ZirconAges.compute_zircons_Ttpath</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF =  compute_zircons_Ttpath(time_years::AbstractArray{Float64,1}, Tt_paths_Temp::AbstractArray{Float64,2}; ZirconData::ZirconAgeData)</code></pre><p>This computes the number of zircons produced from a series of temperature-time path&#39;s.  The Tt-paths are stored in a 2D matrix <code>Tt_paths_Temp</code> with rows being the temperature at time <code>time_years</code>.</p><p><strong>Input:</strong></p><ul><li><code>time_years</code> : vector of length <code>nt</code> with the time in years (since the beginning of the simulation) of the points provided</li><li><code>Tt_paths_Temp</code> : array of size <code>(nt,npaths)</code>` with the temperature of every path.</li></ul><p>Output:</p><ul><li><code>prob</code> : a vector that gives the relative probability that a zircon with a given age exists</li><li><code>ages_eruptible</code> : age of eruptble magma</li><li><code>number_zircons</code> : 1D array of size <code>(nt,)</code></li><li><code>T_av_time</code>: vector of size <code>nt</code> that contains the average T of the paths</li><li><code>T_sd_time</code>: vector of size <code>nt</code> that contains the standard deviation of the T of the paths</li><li><code>cumPDF</code>: vector of size <code>nt</code> that contains the cummulative probability density function that we have an age of less than a certain one in the samples</li></ul><p>This routine was developed based on an R-routine provided as electronic supplement in the paper:</p><ul><li>Weber, G., Caricchi, L., Arce, J.L., Schmitt, A.K., 2020. Determining the current size and state of subvolcanic magma reservoirs. Nat Commun 11, 5477. https://doi.org/10.1038/s41467-020-19084-2</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/ZirconAge/ZirconAges.jl#L98-L120">source</a></section><section><div><pre><code class="nohighlight hljs">time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF  = compute_zircons_Ttpath(time_years_vecs::Vector{Vector{Float64}}, Tt_paths_Temp::Vector{Vector{Float64}}; ZirconData::ZirconAgeData = ZirconAgeData())</code></pre><p>This accepts Vector{Vector} as input for time and temperature of each Tt-path. Here, the length of the vector can be variable between different points.</p><p>Internally, we interpolate this into a 2D matrix and a longer vector that includes all paths and a single vector with times </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/ZirconAge/ZirconAges.jl#L205-L212">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.zircon_age_PDF" href="#GeoParams.ZirconAges.zircon_age_PDF"><code>GeoParams.ZirconAges.zircon_age_PDF</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">zircon_age_PDF(ages_eruptible::AbstractArray{Float64,1}, number_zircons::AbstractArray{Float64,2}, bandwidth=1e5, n_analyses=300, ZirconData::ZirconAgeData)</code></pre><p>Compute probability density functions for zircon age path&#39;s describes in <code>number_zircons</code> with age <code>ages_eruptible</code> (both computed ). <code>bandwidth</code> is the smoothening window of the resulting curves (in years), whereas <code>n_analyses</code> are the number of analyses done. 	</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/f6134c0e4ed8d2f8f7efeff756b2b0d4840d6fdc/src/ZirconAge/ZirconAges.jl#L256-L260">source</a></section></article><p>We also provide a plotting routine, provided the <code>Plots</code> package is loaded, which produces figures such as: <img src="../assets/img/ZirconAge_PDF.png" alt="subet3"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../TASclassification/">« TAS classification</a><a class="docs-footer-nextpage" href="../phasediagrams/">Phase Diagrams »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Monday 3 October 2022 08:35">Monday 3 October 2022</span>. 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+[{"location":"man/phasediagrams/#Phase-Diagrams","page":"Phase Diagrams","title":"Phase Diagrams","text":"","category":"section"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"It is possible to employ phase diagrams as lookup tables, which can be used to compute density, melt fraction or seismic properties, for example. ","category":"page"},{"location":"man/phasediagrams/#Perple_X","page":"Phase Diagrams","title":"Perple_X","text":"","category":"section"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"A popular way to compute phase diagrams (pseudosections) for a given (fixed) chemical composition as a function of pressure and temperature is by using Perple_X. Once a stable assemblage is computed, through Gibbs energy minimisation, it allows you to output a large number of properties such as density, melt fraction or seismic velocities.","category":"page"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"Within GeoParams, we can import this diagram (provided it is formatted in the same manner as LaMEM expects Perple_X input to be).","category":"page"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"GeoParams.MaterialParameters.PhaseDiagrams.PerpleX_LaMEM_Diagram\nGeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","category":"page"},{"location":"man/phasediagrams/#GeoParams.PerpleX_LaMEM_Diagram","page":"Phase Diagrams","title":"GeoParams.PerpleX_LaMEM_Diagram","text":"PD_Data = PerpleX_LaMEM_Diagram(fname::String; CharDim = nothing)\n\nReads a precomputed phase diagram in the LaMEM/Perple_X format (which is a phase diagram computed using Perple_X, but formatted in a manner that is readable using LaMEM). The data is stored in the PhaseDiagram_LookupTable structure.\n\nIf the CharDim object is specified, the values of all diagrams will be non-dimensionalized.\n\nExample\n\njulia> PD_Data = PerpleX_LaMEM_Diagram(\"./test_data/Peridotite.in\")\nPerple_X/LaMEM Phase Diagram Lookup Table: \n                      File    :   ./test_data/Peridotite.in\n                      T       :   293.0 - 1573.000039\n                      P       :   1.0e7 - 2.9999999944e9\n                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp\n                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs\n                                  :Vp, :Vs, :VpVs\n\nOnce imported, the properties on the diagram can be interpolated in a simple manner:\n\njulia> PD_Data.Rho(1500,1e7)\n3042.836820256982\n\nThis also works for vectors or arrays:\n\njulia> T = [1500 1800; 1233 1300]\njulia> P = [1e8 1e9; 1e7 1e7]\njulia> rho = PD_Data.Rho.(T,P)\n\n(Note the dot . in front of the bracket while evaluating arrays).\n\nThe fields that are available depend on what is listed in the diagram file.  The units of the fields are automatically evaluated, and employed to non-dimensionalize the parameters if CharDim is specified. \n\nAlgorithm\n\nInternally, we employ linear interpolation, as provided by the Interpolations.jl package. Values outside the range of the diagram are set to the boundary of the diagram. The interpolation object is directly encoded in the PhaseDiagram_LookupTable` object.  \n\n\n\n\n\n","category":"function"},{"location":"man/phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","page":"Phase Diagrams","title":"GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","text":"Contains data of a Phase Diagram that is regularly spaced in P & T\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#MaterialParameters","page":"Material Parameters","title":"MaterialParameters","text":"","category":"section"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"Material properties for a given phase can be set with SetMaterialParams, whereas all properties are  stored in the MaterialParams structure. Information about the material parameter is found at MaterialParamsInfo. This can be employed ","category":"page"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"MaterialParamsInfo\nSetMaterialParams\nMaterialParams","category":"page"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParamsInfo","text":"MaterialParamsInfo\n\nStructure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.\n\nUsually used in combination with param_info(the_parameter_of_interest)\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.SetMaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.SetMaterialParams","text":"SetMaterialParams(; Name::String=\"\", Phase::Int64=1,\n                    Density             =   nothing, \n                    Gravity             =   nothing,\n                    CreepLaws           =   nothing, \n                    Elasticity          =   nothing, \n                    Plasticity          =   nothing, \n                    CompositeRheology   =   nothing,\n                    Conductivity        =   nothing, \n                    HeatCapacity        =   nothing, \n                    RadioactiveHeat     =   nothing,\n                    LatentHeat          =   nothing,\n                    ShearHeat           =   nothing,\n                    Melting             =   nothing,\n                    SeismicVelocity     =   nothing,\n                    CharDim::GeoUnits   =   nothing)\n\nSets material parameters for a given phase. \n\nIf CharDim is specified the input parameters are non-dimensionalized.   Note that if Density is specified, we also set Gravity even if not explicitly listed\n\nExamples\n\nDefine two viscous creep laws & constant density:\n\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\",\n                       Density   = ConstantDensity(),\n                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))\nPhase 1 : Viscous Matrix\n        | [dimensional units]\n        | \n        |-- Density           : Constant density: ρ=2900 kg m⁻³ \n        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  \n        |                       Linear viscosity: η=1.0e21 Pa s\n\nDefine two viscous creep laws & P/T dependent density and nondimensionalize\n\njulia> CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\", Phase=33,\n                              Density   = PT_Density(),\n                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),\n                              CharDim   = CharUnits_GEO)\nPhase 33: Viscous Matrix\n        | [non-dimensional units]\n        | \n        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0 \n        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18 \n        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001  \n        |                       Linear viscosity: η=10000.0 \n\nYou can also create an array that holds several parameters:\n\njulia> MatParam        =   Array{MaterialParams, 1}(undef, 2);\njulia> Phase           =   1;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Upper Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                            Density  = ConstantDensity(ρ=2900kg/m^3));\njulia> Phase           =   2;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Lower Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),\n                            Density  = PT_Density(ρ0=3000kg/m^3));\njulia> MatParam\n2-element Vector{MaterialParams}:\n Phase 1 : Upper Crust\n    | [dimensional units]\n    | \n    |-- Density           : Constant density: ρ=2900 kg m⁻³ \n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  \n    |                       Linear viscosity: η=1.0e23 Pa s \n                            \n Phase 2 : Lower Crust\n    | [dimensional units]\n    | \n    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa \n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹  \n    |                       Linear viscosity: η=1.0e21 Pa s \n\n\n\n\n\n","category":"function"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParams","text":"MaterialParams\n\nStructure that holds all material parameters for a given phase\n\n\n\n\n\n","category":"type"},{"location":"man/contributing/#Contributing","page":"Contributing","title":"Contributing","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"You can contribute for example by adding new creep laws or by adding new constitutive relationships. If you invest a bit of time now, it will save others in the community a lot of time! The simplest way to do this is by cloning the repository, and creating a new branch for your feature. Once you are happy with what you added (and after you added a test to ensure that it will keep working with future changes), create a pull request and we will evaluate & merge it.","category":"page"},{"location":"man/contributing/#Style-Guide","page":"Contributing","title":"Style Guide","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Follow the style of the surrounding text when making changes. When adding new features please try to stick to the following points whenever applicable.","category":"page"},{"location":"man/contributing/#Julia","page":"Contributing","title":"Julia","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"4-space indentation;\nmodules spanning entire files should not be indented, but modules that have surrounding code should;\nno blank lines at the start or end of files;\ndo not manually align syntax such as = or :: over adjacent lines;\nuse function ... end when a method definition contains more than one toplevel expression;\nrelated short-form method definitions don't need a new line between them;\nunrelated or long-form method definitions must have a blank line separating each one;\nsurround all binary operators with whitespace except for ::, ^, and :;\nfiles containing a single module ... end must be named after the module;\nmethod arguments should be ordered based on the amount of usage within the method body;\nmethods extended from other modules must follow their inherited argument order, not the above rule;\nexplicit return should be preferred except in short-form method definitions;\navoid dense expressions where possible e.g. prefer nested ifs over complex nested ?s;\ninclude a trailing , in vectors, tuples, or method calls that span several lines;\ndo not use multiline comments (#= and =#);\nwrap long lines as near to 92 characters as possible, this includes docstrings;\nfollow the standard naming conventions used in Base.","category":"page"},{"location":"man/contributing/#Markdown","page":"Contributing","title":"Markdown","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Use unbalanced # headers, i.e. no # on the right hand side of the header text;\ninclude a single blank line between toplevel blocks;\nunordered lists must use * bullets with two preceding spaces;\ndo not hard wrap lines;\nuse emphasis (*) and bold (**) sparingly;\nalways use fenced code blocks instead of indented blocks;\nfollow the conventions outlined in the Julia documentation page on documentation.","category":"page"},{"location":"man/latentheat/#Latent-heat","page":"Latent heat","title":"Latent heat","text":"","category":"section"},{"location":"man/latentheat/#Methods","page":"Latent heat","title":"Methods","text":"","category":"section"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"Latent heat (of crystallisation) is defined as ","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","category":"page"},{"location":"man/latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","page":"Latent heat","title":"GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","text":"ConstantLatentHeat(Q_L=400kJ/kg)\n\nSet a constant latent heat:\n\n    Q_L  = cst\n\nwhere Q_L is the latent heat [kJkg].\n\n\n\n\n\n","category":"type"},{"location":"man/latentheat/#Computational-routines","page":"Latent heat","title":"Computational routines","text":"","category":"section"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"To compute, use this:","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"GeoParams.MaterialParameters.LatentHeat.compute_latent_heat","category":"page"},{"location":"man/zirconages/#Zircon-age-parameterizations","page":"Zircon Ages","title":"Zircon age parameterizations","text":"","category":"section"},{"location":"man/zirconages/#Methods","page":"Zircon Ages","title":"Methods","text":"","category":"section"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"Zircons are one of the ways in which we can date the age & activity of magmatic systems.  Here, we provide a computational routine that computes the zircon age distribution from temperature-time paths","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.ZirconAgeData","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.ZirconAgeData","page":"Zircon Ages","title":"GeoParams.ZirconAges.ZirconAgeData","text":"ZirconAgeData\n\nStruct that holds default parameters for the calculations\n\n\n\n\n\n","category":"type"},{"location":"man/zirconages/#Computational-routines","page":"Zircon Ages","title":"Computational routines","text":"","category":"section"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"There is one main routine with which you can compute zircon age probability density functions from a range of temperature-ime paths:","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.compute_zircon_age_PDF","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.compute_zircon_age_PDF","page":"Zircon Ages","title":"GeoParams.ZirconAges.compute_zircon_age_PDF","text":"time_Ma, PDF_zircons, time_Ma_average, PDF_zircon_average, time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF = compute_zircon_age_PDF(time_years_vecs::Vector{Vector}, Tt_paths_Temp_vecs::Vector{Vector}; ZirconData::ZirconAgeData = ZirconAgeData(), bandwidth=bandwidth, n_analyses=300)\n\nThis computes the PDF (probability density function) with zircon age data from Vectors with Tt-paths\t\n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"This, in turn, calls two other routines:","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.compute_zircons_Ttpath\nGeoParams.zircon_age_PDF","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.compute_zircons_Ttpath","page":"Zircon Ages","title":"GeoParams.ZirconAges.compute_zircons_Ttpath","text":"prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF =  compute_zircons_Ttpath(time_years::AbstractArray{Float64,1}, Tt_paths_Temp::AbstractArray{Float64,2}; ZirconData::ZirconAgeData)\n\nThis computes the number of zircons produced from a series of temperature-time path's.  The Tt-paths are stored in a 2D matrix Tt_paths_Temp with rows being the temperature at time time_years.\n\nInput:\n\ntime_years : vector of length nt with the time in years (since the beginning of the simulation) of the points provided\nTt_paths_Temp : array of size (nt,npaths)` with the temperature of every path.\n\nOutput:\n\nprob : a vector that gives the relative probability that a zircon with a given age exists\nages_eruptible : age of eruptble magma\nnumber_zircons : 1D array of size (nt,)\nT_av_time: vector of size nt that contains the average T of the paths\nT_sd_time: vector of size nt that contains the standard deviation of the T of the paths\ncumPDF: vector of size nt that contains the cummulative probability density function that we have an age of less than a certain one in the samples\n\nThis routine was developed based on an R-routine provided as electronic supplement in the paper:\n\nWeber, G., Caricchi, L., Arce, J.L., Schmitt, A.K., 2020. Determining the current size and state of subvolcanic magma reservoirs. Nat Commun 11, 5477. https://doi.org/10.1038/s41467-020-19084-2\n\n\n\n\n\ntime_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF  = compute_zircons_Ttpath(time_years_vecs::Vector{Vector{Float64}}, Tt_paths_Temp::Vector{Vector{Float64}}; ZirconData::ZirconAgeData = ZirconAgeData())\n\nThis accepts Vector{Vector} as input for time and temperature of each Tt-path. Here, the length of the vector can be variable between different points.\n\nInternally, we interpolate this into a 2D matrix and a longer vector that includes all paths and a single vector with times \n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/#GeoParams.ZirconAges.zircon_age_PDF","page":"Zircon Ages","title":"GeoParams.ZirconAges.zircon_age_PDF","text":"zircon_age_PDF(ages_eruptible::AbstractArray{Float64,1}, number_zircons::AbstractArray{Float64,2}, bandwidth=1e5, n_analyses=300, ZirconData::ZirconAgeData)\n\nCompute probability density functions for zircon age path's describes in number_zircons with age ages_eruptible (both computed ). bandwidth is the smoothening window of the resulting curves (in years), whereas n_analyses are the number of analyses done. \t\n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"We also provide a plotting routine, provided the Plots package is loaded, which produces figures such as: (Image: subet3)","category":"page"},{"location":"man/TASclassification/#TAS-rock-classification","page":"TAS classification","title":"TAS rock classification","text":"","category":"section"},{"location":"man/TASclassification/#Methods","page":"TAS classification","title":"Methods","text":"","category":"section"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"When doing coupled petrological-geodynamic modelling, the evolution of the composition of the magma is more easily understood when a rock type is given. This routine is an implementation of the TAS diagram (Total Alkali (TA) vs Silica (S)) from Le Maitre et al., 2002.","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.TASclassificationData","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.TASclassificationData","page":"TAS classification","title":"GeoParams.TASclassification.TASclassificationData","text":"TASclassificationData\n\nStruct that holds default parameters for the TAS diagram\n\n\n\n\n\n","category":"type"},{"location":"man/TASclassification/#Computational-routine","page":"TAS classification","title":"Computational routine","text":"","category":"section"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"There is one routine with which you can retrieve the index of the TAS rock-type. The routine receives as an input a compositional vector [SiO2,Na2O+K2O] in wt% and sends back an index [1-15].","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.computeTASclassification","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.computeTASclassification","page":"TAS classification","title":"GeoParams.TASclassification.computeTASclassification","text":"classIndex computeTASclassification(chemComp::AbstractArray{_T,N}, ClassTASdata::TASclassificationData)\n\nThis compute the classification of the igneous rock using TAS diagram (Total Alkali (TA) vs Silica (S)).\n\nInput:\n\nchemComp : vector rock composition in oxide wt%\n\nOutput:\n\nclassIndex : an integer [0-14] corresponding to a TAS field (TASclassificationData.litho[classIndex])\n\nThis routine was developed based the TAS classification of Le Maitre et al., 2002\n\n\n\n\n\n","category":"function"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"Using the index of the rock-type you can get the name of the corresponding volcanic rock using the following routine.","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.retrieveTASrockType","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.retrieveTASrockType","page":"TAS classification","title":"GeoParams.TASclassification.retrieveTASrockType","text":"retrieveTASrockType(index::Int64; ClassTASdata::TASclassificationData = TASclassificationData())\n\nThis retrieves the name of the volcanic rock-type using the computed index\n\nInput:\n\nindex : integer [1-15]\n\nOutput:\n\nlitho : a string of the name of corresponding volcanic rock\n\n\n\n\n\n","category":"function"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"We also provide a plotting routine, provided the Plots package is loaded, which produces figures such as: (Image: subet3)","category":"page"},{"location":"man/radioactiveheating/#Radioactive-heat","page":"Radioactive heat","title":"Radioactive heat","text":"","category":"section"},{"location":"man/radioactiveheating/#Methods","page":"Radioactive heat","title":"Methods","text":"","category":"section"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"Radioactive heat sources are defined as ","category":"page"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat\nGeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat\n","category":"page"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","text":"ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)\n\nSet a constant radioactive heat:\n\n    H_r  = cst\n\nwhere H_r is the radioactive heat source [Wattm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat","text":"ExpDepthDependent(H_0=1e-6Watt/m^3, h_r=10e3m, z_0=0m)\n\nSets an exponential depth-dependent radioactive \n\n    H_r  = H_0 exp left( - (z - z_0) over h_r right)\n\nwhere H_0 is the radioactive heat source [Wattm^3] at z=z_0 which decays with depth over a characteristic distance h_r.\n\n\n\n\n\n","category":"type"},{"location":"man/radioactiveheating/#Computational-routines","page":"Radioactive heat","title":"Computational routines","text":"","category":"section"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"To compute, use this:","category":"page"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat\nGeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat!","category":"page"},{"location":"man/listfunctions/#List-of-all-functions","page":"List of functions","title":"List of all functions","text":"","category":"section"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity","page":"Seismic Velocity","title":"Seismic velocity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"Seismic velocity can specified in a number of ways","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","text":"ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)\n\nSet a constant seismic P and S-wave velocity:\n\n    V_p = cst\n\n    V_s = cst\n\nwhere V_p V_s are the P-wave and S-wave velocities [kms].\n\n\n\n\n\n","category":"type"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.","category":"page"},{"location":"man/seismicvelocity/#Computational-routines","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To evaluate seismic velocity within a user routine, use this:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.compute_swave_velocity!\nGeoParams.compute_pwave_velocity!\nGeoParams.compute_pwave_velocity\nGeoParams.compute_swave_velocity","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity-correction-for-partial-melt","page":"Seismic Velocity","title":"Seismic velocity correction for partial melt","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-2","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"The routine uses the reduction formulation of Clark et al., (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-2","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute melt-content based correction for seismic waves velocities, you can use:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.melt_correction","category":"page"},{"location":"man/seismicvelocity/#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity","page":"Seismic Velocity","title":"Seismic S-wave velocity correction for (shallow depth) porosity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-3","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"Ths routine is based on the equilibrium geometry model for the solid skeleton of Takei et al. (1998) and the porosity-depth empirical relationship of Chen et al. (2020)","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-3","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute porosity based correction for seismic S-wave velocity, you can use:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.porosity_correction","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity-correction-for-anelasticity","page":"Seismic Velocity","title":"Seismic velocity correction for anelasticity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-4","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"The routine uses the reduction formulation of karato (1993), using the quality factor formulation from Behn et al. (2009)","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-4","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute a correction of S-wave velocity for anelasticity, use this:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.anelastic_correction","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction","text":"    Vs_anel = anelastic_correction(water::Int64, Vs0::Float64,P::Float64,T::Float64)\n\nThis routine computes a correction of S-wave velocity for anelasticity\n\nInput:\n\nwater: water flag, 0 = dry; 1 = dampened; 2 = water saturated \nVs0  : S-wave velocitiy of the solid phase (with or without melt correction)\nP    : pressure given in Pa\nT    : temperature given in °K\n\nOutput:\n\nVs_anel : corrected S-wave velocity for anelasticity\n\nThe routine uses the reduction formulation of Karato (1993), using the quality factor formulation from Behn et al. (2009)\n\nReferences:\n\nKarato, S. I. (1993). Importance of anelasticity in the interpretation of seismic tomography. Geophysical research letters, 20(15), 1623-1626.\nBehn, M. D., Hirth, G., & Elsenbeck II, J. R. (2009). Implications of grain size evolution on the seismic structure of the oceanic upper mantle. Earth and Planetary Science Letters, 282(1-4), 178-189.\n\n\n\n\n\n","category":"function"},{"location":"man/plasticity/#Plasticity","page":"Plasticity","title":"Plasticity","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"Plasticity is a non;linear rheology bthat is actrivated once stresses exceed a certain yield criteria.","category":"page"},{"location":"man/plasticity/#Implemented-laws","page":"Plasticity","title":"Implemented  laws","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"The following plastic law are implemented:","category":"page"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"GeoParams.MaterialParameters.Plasticity.DruckerPrager","category":"page"},{"location":"man/plasticity/#Computational-routines","page":"Plasticity","title":"Computational routines","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"Once a plastic rheology is defined, we can use the following routines to perform computations within the solvers","category":"page"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"GeoParams.MaterialParameters.Plasticity.compute_yieldfunction\nGeoParams.MaterialParameters.Plasticity.compute_yieldfunction!","category":"page"},{"location":"man/plotting/#Plotting","page":"Plotting","title":"Plotting","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"We provide a number of plotting routines. Note that these plotting routines only become available once the Plots package is loaded.","category":"page"},{"location":"man/plotting/#Plot-CreepLaws","page":"Plotting","title":"Plot CreepLaws","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"GeoParams.PlotStressStrainrate_CreepLaw\nGeoParams.PlotHeatCapacity\nGeoParams.PlotConductivity\nGeoParams.PlotMeltFraction\nGeoParams.PlotPhaseDiagram","category":"page"},{"location":"man/geounit/#GeoUnit","page":"GeoUnit","title":"GeoUnit","text":"","category":"section"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Most parameters have physical units (100km, 9.81 ms⁻²). Yet, within numerical solvers it is usually not a good idea to compute with the actual SI units as they (at least in geosciences) tend to result in very large/small numbers, which can cause in roundoff errors.  Therefore, we usually convert the dimensional units into non-dimensional ones befeore starting computations. The results can than be converted back to more convenient units for us when we generate the output (plots, for example).","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"This requires a wauy to store the dimensions of a parameter, but also, once they are made nondimensional, the original units (otherwise we can't convert them back to dimensional values).","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"For that reason, we use the GeoUnit structure, defined as ","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"struct GeoUnit{T,U}\n    val          :: T\n    unit         :: U\n    isdimensional:: Bool\nend","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"You can define a GeoUnit as:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> a = GeoUnit(100km)\nGeoUnit{dimensional, km}, \n100.0\njulia> b=GeoUnit(100s)\nGeoUnit{dimensional, s}, \n100.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Dividing the two gives the expected result","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> c=a/b\nGeoUnit{dimensional, km s⁻¹·⁰}, \n1.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Can also be a vector:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> T = GeoUnit(100K:10.0K:1000K)\nGeoUnit{dimensional, K}, \n100.0:10.0:1000.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"The numerical value is obtained with:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> NumValue(c)\n1.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"It's unit with","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> Unit(c)\nkm s⁻¹·⁰","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"and the value with unit with","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> Value(c)\n1.0 km s⁻¹·⁰","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"If you multiply or divide a GeoUnit with a normal number, we assume that you are no longer interested in the units and you'll get a Float64:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> c*100\n100.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"The value of the GeoUnit struct becomes clear once we non-dimensionalize it (as explained in more detail in a separate page). For that, first specify which characteristic values you want to use for non-dimensionalisation: ","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> CharDim = GEO_units(length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas);","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Let's define a stress:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> σ=GeoUnit(10MPa)\nGeoUnit{dimensional, MPa}, \n10.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"And transfer it to nondimensional units:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> σ_nd = nondimensionalize(σ,CharDim)\nGeoUnit{nondimensional, MPa}, \n0.9999999999999998","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Instead of 1e7 Pa, we now have 1.0; yet at the same time we know that the original unit of σ_nd was in MPa, which allows to transfer it back to dimensional units:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> dimensionalize(σ_nd,CharDim)\nGeoUnit{dimensional, MPa}, \n10.0","category":"page"},{"location":"man/creeplaws/#CreepLaws","page":"Creep laws","title":"CreepLaws","text":"","category":"section"},{"location":"man/creeplaws/#Implemented-creep-laws","page":"Creep laws","title":"Implemented creep laws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"The following viscous creep laws are implemented:","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"GeoParams.LinearViscous\nGeoParams.PowerlawViscous\nGeoParams.DislocationCreep\nGeoParams.SetDislocationCreep\nGeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep\nGeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous","text":"LinearViscous(η=1e20Pa*s)\n\nDefines a linear viscous creeplaw \n\nThe (isotopic) linear viscous rheology is given by  \n\n    tau_ij = 2 eta dotvarepsilon_ij \n\nor\n\n    dotvarepsilon_ij  = tau_ij  over 2 eta \n\nwhere eta_0 is the reference viscosity [Pa*s] at reference strain rate dotvarepsilon_0[1/s], and n the power law exponent []. \n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous","text":"PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)\n\nDefines a power law viscous creeplaw as: \n\n    tau_ij^n  = 2 eta_0 left( dotvarepsilon_ij over dotvarepsilon_0 right)\n\nwhere eta is the effective viscosity [Pa*s].\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep","text":"DislocationCreep(n = 1.0NoUnits, r = 0.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )\n\nDefines the flow law parameter of a dislocation creep law.\n\nThe (isotropic) dislocation creep law, as used by experimentalists, is given by  \n\n     dotgamma = A sigma_mathrmd^n f_mathrmH2O^r expleft(-fracE+PVRTright)\n\nwhere \n\nn is the power law exponent  \nr is the exponent of fugacity dependence \nA is a pre-exponential factor mathrmMPa^-ns^-1 (if manually defined, n and r must be either pre-defined or substituted) \nE is the activation energy mathrmkJmol \nV is the activation volume mathrmm^3mol \ndotgamma is the strain rate mathrm1s \nsigma_mathrmd is the differential stress mathrmMPa which are converted into second invariants using the Apparatus variable that can be\n\neither AxialCompression, SimpleShear or Invariant. If the flow law paramters are already given as a function of second invariants, choose Apparatus=Invariant.\n\nExample\n\njulia> x2 = DislocationCreep(n=3)\nDislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep","text":"SetDislocationCreep[\"Name of Dislocation Creep\"]\n\nSets predefined dislocation creep data from a dictionary\n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep","text":"DiffusionCreep(r = 0NoUnits, p = A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )\n\nDefines the flow law parameter of a dislocation creep law.\n\nThe (isotropic) diffusion creep law, as used by experimentalists, is given by  \n\n     dotgamma = A sigma_mathrmd d^mathrmp f_mathrmH2O^r expleft(-fracE+PVRTright)\n\nwhere \n\nr is the exponent of fugacity dependence \np is the exponent of grain size\nA is a pre-exponential factor mathrmMPa^-ns^-1 (if manually defined, n and r must be either pre-defined or substituted) \nE is the activation energy mathrmkJmol \nV is the activation volume mathrmm^3mol \ndotgamma is the strain rate mathrm1s \nsigma_mathrmd is the differential stress mathrmMPa\n\nThe experimental paramaters are converted into second invariants using the Apparatus variable that can be either AxialCompression, SimpleShear or Invariant. If the flow law paramters are already given as a function of second invariants, choose Apparatus=Invariant.\n\nExample\n\njulia> x2 = DiffusionCreep(Name=\"test\")\nDiffusionCreep: Name = test, n=1.0, r=0.0, p=-3.0, A=1.5 m³·⁰ MPa⁻¹·⁰ s⁻¹·⁰, E=500.0 kJ mol⁻¹·⁰, V=2.4e-5 m³·⁰ mol⁻¹·⁰, FT=1.7320508075688772, FE=1.1547005383792517)\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","text":"SetDiffusionCreep[\"Name of Diffusion Creep\"]\n\nThis is a dictionary with pre-defined creep laws    \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#Computational-routines-for-creep-laws","page":"Creep laws","title":"Computational routines for creep laws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"Once a creep rheology is defined, we can use the following routines to perform computations within the solvers","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"CreepLawVariables\nGeoParams.compute_εII\nGeoParams.compute_εII!\nGeoParams.compute_τII\nGeoParams.compute_τII!\nGeoParams.CorrectionFactor\nGeoParams.RemoveTensorCorrection","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII","text":"compute_εII(a::DiffusionCreep, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)\n\nReturns diffusion creep strainrate as a function of 2nd invariant of the stress tensor tau_II \n\n    dotε_II = A τ_II^n d^p f_H_2O^r exp left(- E + PV over RT right)\n\n\n\n\n\ncompute_εII(s::ConstantElasticity{_T}, τII; τII_old, dt)\n\nComputes elastic strainrate given the deviatoric stress at the current (τII) and old timestep (τII_old), for a timestep dt:\n\n    dotvarepsilon^el = 1 over 2 G D tau_II over Dt   1 over 2 G tau_II- tildetau_II^old over dt \n\nNote that we here solve the scalar equation, which is sufficient for isotropic cases. In tensor form, it would be\n\n    dotvarepsilon^el_ij = 1 over 2 G  tau_ij - tildetau_ij^old over dt \n\nhere tildetau_ij^old is the rotated old deviatoric stress tensor to ensure objectivity (this can be done with Jaumann derivative, or also by using the full rotational formula).\n\n\n\n\n\ncompute_εII(v::Parallel{T,N}, τII, args; tol=1e-6, verbose=false, n=1)\n\nComputing εII as a function of τII for a Parallel elements is (usually) a nonlinear problem\n\n\n\n\n\ncompute_εII(v::CompositeRheology{T,N}, τII, args; tol=1e-6, verbose=false, n=1)\n\nComputing εII as a function of τII for a composite element is the sum of the individual contributions\n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!","text":"compute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)\n\nComputes strainrate as a function of stress\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, s::LinearViscous, TauII::AbstractArray{_T,N})\n\n\n\n\n\ncompute_εII!(ε_el::AbstractArray{_T,N}, s::ConstantElasticity{_T}; τII::AbstractArray{_T,N}, τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)\n\nIn-place computation of the elastic shear strainrate for given deviatoric stress invariants at the previous (τII_old) and new (τII) timestep, as well as the timestep dt  \n\n    dotvarepsilon^el = 1 over 2 G D tau_II over Dt   1 over 2 G tau_II- tau_II^old over dt \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII","text":"compute_τII(a::DislocationCreep, EpsII; P, T, f, args...)\n\nComputes the stress for a Dislocation creep law given a certain strain rate\n\n\n\n\n\ncomputeCreepLaw_TauII(EpsII::_T, a::DiffusionCreep; T::_T, P=zero(_T), f=one(_T), d=one(_T), kwargs...)\n\nReturns diffusion creep stress as a function of 2nd invariant of the strain rate \n\n\n\n\n\ncompute_τII(s::LinearViscous, EpsII; kwargs...)\n\nReturns second invariant of the stress tensor given a 2nd invariant of strain rate tensor \n\n\n\n\n\nτII = compute_τII(v::CompositeRheology{T,N}, εII, args; tol=1e-6, verbose=false)\n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!","text":"compute_τII!(TauII::AbstractArray{_T,N}, a::DislocationCreep, EpsII::AbstractArray{_T,N}; \n    P =       zero(TauII)::AbstractArray{_T,N}, \n    T = ones(size(TauII))::AbstractArray{_T,N}, \n    f = ones(size(TauII))::AbstractArray{_T,N})\n\nComputes the deviatoric stress invariant for a dislocation creep law\n\n\n\n\n\ncompute_τII!(τII::AbstractArray{_T,N}, s::ConstantElasticity{_T}. ε_el::AbstractArray{_T,N}; τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)\n\nIn-place update of the elastic stress for given deviatoric strainrate invariants and stres invariant at the old (τII_old) timestep, as well as the timestep dt  \n\n    tau_II = 2 G dt dotvarepsilon^el + tau_II^old\n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#Heat-capacity","page":"Heat Capacity","title":"Heat capacity","text":"","category":"section"},{"location":"man/heatcapacity/#Methods","page":"Heat Capacity","title":"Methods","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"Heat capacity is defined as ","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity\nGeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","text":"ConstantHeatCapacity(cp=1050J/mol/kg)\n\nSet a constant heat capacity:\n\n    cp  = cst\n\nwhere cp is the thermal heat capacity [JkgK].\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","text":"T_HeatCapacity_Whittington()\n\nSets a temperature-dependent heat capacity following the parameterization of Whittington et al. (2009), Nature:\n\n    Cp = (a + b T - cT^2)m \n\nwhere Cp is the heat capacity [JkgK], and abc are parameters that dependent on the temperature T:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nmolmass =   0.22178kg/mol \n\nNote that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than JmolK as in eq.3/4 of the paper)\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#Computational-routines","page":"Heat Capacity","title":"Computational routines","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"To compute, use this:","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity\nGeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","text":"Cp = compute_heatcapacity(s:<AbstractHeatCapacity, P, T)\n\nReturns the heat capacity Cp at any temperature T and pressure P using any of the heat capacity laws implemented.\n\nCurrently available:\n\nConstantHeatCapacity\nT_HeatCapacity_Whittington\n\nExample\n\nUsing dimensional units\n\njulia> T  = (250:100:1250)*K;\njulia> cp = T_HeatCapacity_Whittington()\njulia> Cp = ComputeHeatCapacity(0,T,cp)\n11-element Vector{Unitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:\n  635.4269997294616 J kg⁻¹ K⁻¹\n  850.7470171764261 J kg⁻¹ K⁻¹\n  962.0959598489883 J kg⁻¹ K⁻¹\n 1037.5420433770641 J kg⁻¹ K⁻¹\n 1097.3517921966488 J kg⁻¹ K⁻¹\n 1149.2745563671706 J kg⁻¹ K⁻¹\n 1157.7915050948404 J kg⁻¹ K⁻¹\n 1172.3554874197264 J kg⁻¹ K⁻¹\n 1186.9194697445964 J kg⁻¹ K⁻¹\n  1201.483452069455 J kg⁻¹ K⁻¹\n 1216.0474343943067 J kg⁻¹ K⁻¹\n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","text":"compute_heatcapacity!(Cp::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat})\n\nIn-place computation of heat capacity Cp for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#Melting-Parameterizations","page":"Partial Melting","title":"Melting Parameterizations","text":"","category":"section"},{"location":"man/melting/#Methods","page":"Partial Melting","title":"Methods","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"A number of melting parameterisations are implemented, which can be set with:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.MeltingParam_Caricchi\nGeoParams.MeltingParam.MeltingParam_5thOrder\nGeoParams.MeltingParam.MeltingParam_4thOrder\nGeoParams.MeltingParam.MeltingParam_Quadratic\nGeoParams.MeltingParam.MeltingParam_Assimilation\nGeoParams.MeltingParam.SmoothMelting","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Caricchi","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Caricchi","text":"MeltingParam_Caricchi()\n\nImplements the T-dependent melting parameterisation used by Caricchi, Simpson et al. (as for example described in Simpson) \n\n    theta = (a - (T + c)) over b \n\n    phi_melt = 10 over (10 + e^theta)\n\nNote that T is in Kelvin. As default parameters we employ:\n\nb=23K  a=800K  c=27315K\n\nWhich gives a reasonable fit to experimental data of granodioritic composition (Piwinskii and Wyllie, 1968):\n\n(Image: MeltParam_Carrichi)\n\nReferences\n\nSimpson G. (2017) Practical finite element modelling in Earth Sciences Using MATLAB.\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_5thOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_5thOrder","text":"MeltingParam_5thOrder(a,b,c,d,e,f,T_s,T_l)\n\nUses a 5th order polynomial to describe the melt fraction phi between solidus temperature T_s and liquidus temperature T_l\n\n    phi = a T^5 + b T^4 + c T^3 + d T^2 + e T + f  textrm   for    T_s  T  T_l\n\n    phi = 1  textrm   if    TT_l\n\n    phi = 0  textrm   if    TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_5thOrder)\n\nThe default values are for a composite liquid-line-of-descent:\n\nthe upper part is for Andesite from: (Blatter, D. L. & Carmichael, I. S. (2001) Hydrous phase equilibria of a Mexican highsilica andesite: a candidate for a mantle origin? Geochim. Cosmochim. Acta 65, 4043–4065\nthe lower part is extrapolated to the granitic minimum using the Marxer & Ulmer LLD for Andesite (Marxer, F. & Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. Contributions Mineral. Petrol. 174, 84)\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_4thOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_4thOrder","text":"MeltingParam_4thOrder(b,c,d,e,f,T_s,T_l)\n\nUses a 4th order polynomial to describe the melt fraction phi between solidus temperature T_s and liquidus temperature T_l\n\n    phi = b T^4 + c T^3 + d T^2 + e T + f  textrm   for    T_s  T  T_l\n\n    phi = 1 textrm   if    TT_l\n\n    phi = 0  textrm   if    TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_4thOrder)\n\nThe default values are for Tonalite experiments from Marxer and Ulmer (2019):\n\nMarxer, F. & Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. Contributions Mineral. Petrol. 174, 84\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Quadratic","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Quadratic","text":"MeltingParam_Quadratic(T_s,T_l)\n\nQuadratic melt fraction parameterisation where melt fraction phi depends only on solidus (T_s) and liquidus (T_l) temperature:\n\n    phi = 10 - left( T_l - T over T_l - T_s right)^2\n\n    phi = 10 textrm if  TT_l \n\n    phi = 00 textrm if  TT_s \n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_Quadratic)\n\nThis was used, among others, in Tierney et al. (2016) Geology\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Assimilation","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Assimilation","text":"MeltingParam_Assimilation(T_s,T_l,a)\n\nMelt fraction parameterisation that takes the assimilation of crustal host rocks into account, as used by Tierney et al. (2016) based upon a parameterisation of Spera and Bohrson (2001)\n\nHere, the fraction of molten and assimilated host rocks phi depends on the solidus (T_s) and liquidus (T_l) temperatures of the rocks, as well as on a parameter a=0005\n\n    X = left( T - T_s over T_l - T_s right)\n\n    phi = a cdot left( exp^2ln(100)X - 10 right) textrm if  X  05\n\n    phi = 1- a cdot exp^2ln(100)(1-X)  textrm if  X  05\n\n    phi = 10 textrm if  TT_l \n\n    phi = 00 textrm if  TT_s \n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_Assimilation)\n\nThis was used, among others, in Tierney et al. (2016), who employed as default parameters:\n\n   T_s=97315 T_l=117315 a=0005\n\nReferences\n\nSpera, F.J., and Bohrson, W.A., 2001, Energy-Constrained Open-System Magmatic Processes I: General Model and Energy-Constrained Assimilation and Fractional Crystallization (EC- AFC) Formulation: Journal of Petrology, v. 42, p. 999–1018.\nTierney, C.R., Schmitt, A.K., Lovera, O.M., de Silva, S.L., 2016. Voluminous plutonism during volcanic quiescence revealed by thermochemical modeling of zircon. Geology 44, 683–686. https://doi.org/10.1130/G37968.1\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.SmoothMelting","page":"Partial Melting","title":"GeoParams.MeltingParam.SmoothMelting","text":"SmoothMelting(; p=MeltingParam_4thOrder(), k_sol=0.2/K,  k_liq=0.2/K)\n\nThis smoothens the melting parameterisation p around the solidus T_sol and liquidus T_liq using a smoothened Heaviside step functions for the solidus:\n\n    H_sol =  10 over  1 + exp( -2 k_sol (T - T_sol - 2 over k_sol) )  \n\nand liquidus:        \n\n    H_liq =  10 - 10 over  1 + exp( -2 k_liq (T - T_liq + 2 over k_liq) )  \n\nThe resulting melt fraction phi is computed from the original melt fraction phi_0 (computed using one of the methods above) as:\n\n    phi =  phi_0 H_sol H_liq + 10 - H_liq\n\nThe width of the smoothening zones is controlled by k_sol k_liq (larger values = sharper boundary).\n\nThis is important, as jumps in the derivative dϕdT can cause numerical instabilities in latent heat computations, which is prevented with this smoothening.\n\nExample\n\nLet's consider a 4th order parameterisation:\n\njulia> using GeoParams, Plots\njulia> p = MeltingParam_4thOrder();\njulia> T= collect(650.0:1:1050.) .+ 273.15;\njulia> T,phi,dϕdT =  PlotMeltFraction(p,T=T);\n\nThe same but with smoothening:\n\njulia> p_s = SmoothMelting(p=MeltingParam_4thOrder(), k_liq=0.21/K);\n4th order polynomial melting curve: phi = -7.594512597174117e-10T^4 + 3.469192091489447e-6T^3 + -0.00592352980926T^2 + 4.482855645604745T + -1268.730161921053  963.15 K ≤ T ≤ 1270.15 K with smooth Heaviside function smoothening using k_sol=0.1 K⁻¹·⁰, k_liq=0.11 K⁻¹·⁰\njulia> T_s,phi_s,dϕdT_s =  PlotMeltFraction(p_s,T=T);\n\nWe can create plots of this with:\n\njulia> plt1 = plot(T.-273.15, phi, ylabel=\"Melt Fraction ϕ\", color=:red, label=\"original\", xlabel=\"Temperature [C]\")\njulia> plt1 = plot(plt1, T.-273.15, phi_s,  color=:black, label=\"smoothened\", legend=:bottomright)\njulia> plt2 = plot(T.-273.15, dϕdT, ylabel=\"dϕ/dT\", color=:red, label=\"original\", xlabel=\"Temperature [C]\")\njulia> plt2 = plot(plt2, T.-273.15, dϕdT_s,  color=:black, label=\"smoothened\", legend=:topright)\njulia> plot!(plt1,plt2,   xlabel=\"Temperature [C]\", layout=(2,1))\n\nThe derivative no longer has a jump now:\n\n(Image: MeltingParam_Smooth)\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#Computational-routines","page":"Partial Melting","title":"Computational routines","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"To compute the melt fraction at given T and P, use:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.compute_meltfraction!\nGeoParams.MeltingParam.compute_meltfraction","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction!","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction!","text":"compute_meltfraction!(ϕ::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T:AbstractArray{<:AbstractFloat}, p::PhaseDiagram_LookupTable)\n\nIn-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified.\n\n\n\n\n\ncompute_meltfraction(ϕ::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction","text":"compute_meltfraction(P,T, p::AbstractPhaseDiagramsStruct)\n\nComputes melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified.\n\n\n\n\n\nϕ = compute_meltfraction(Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"You can also obtain the derivative of melt fraction versus temperature with (useful to compute latent heat effects):","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.compute_dϕdT!\nGeoParams.MeltingParam.compute_dϕdT","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.compute_dϕdT!","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_dϕdT!","text":"compute_dϕdT!(ϕ::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputates the derivative of melt fraction ϕ versus temperature T, partial phi over partial T for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays. This is employed, for example, in computing latent heat terms in an implicit manner.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#GeoParams.MeltingParam.compute_dϕdT","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_dϕdT","text":"compute_dϕdT(P,T, p::AbstractPhaseDiagramsStruct)\n\nComputes derivative of melt fraction vs T in case we use a phase diagram lookup table. The table should have the column :meltFrac specified. The derivative is computed by finite differencing.\n\n\n\n\n\nϕ = compute_dϕdT(Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputates the derivative of melt fraction ϕ versus temperature T for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays. This is employed in computing latent heat terms in an implicit manner, for example\n\n\n\n\n\n","category":"function"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"Also note that phase diagrams can be imported using PerpleX_LaMEM_Diagram, which may also have melt content information.  The computational routines work with that as well.","category":"page"},{"location":"man/melting/#Plotting-routines","page":"Partial Melting","title":"Plotting routines","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"You can use the routine PlotMeltFraction to create a plot, provided that the Plots package has been loaded","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.PlotMeltFraction","category":"page"},{"location":"man/elasticity/#Elasticity","page":"Elasticity","title":"Elasticity","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"Elasticity is, in geodynamics, often used in combination with viscous and plastic rheology.","category":"page"},{"location":"man/elasticity/#Implemented-laws","page":"Elasticity","title":"Implemented laws","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"We provide the following elastic constitutive relationships:","category":"page"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"GeoParams.ConstantElasticity\nGeoParams.SetConstantElasticity","category":"page"},{"location":"man/elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity","page":"Elasticity","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity","text":"ConstantElasticity(G, ν, K, E)\n\nStructure that holds parameters for constant, isotropic, linear elasticity.\n\n\n\n\n\n","category":"type"},{"location":"man/elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity","page":"Elasticity","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity","text":"SetConstantElasticity(; G=nothing, ν=nothing, E=nothing, Kb=nothing)\n\nThis allows setting elastic parameters by specifying 2 out of the 4 elastic parameters G (Elastic shear modulus), ν (Poisson's ratio), E (Young's modulus), or Kb (bulk modulus).\n\n\n\n\n\n","category":"function"},{"location":"man/elasticity/#Computational-routines","page":"Elasticity","title":"Computational routines","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"We can compute the elastic strainrate with:","category":"page"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"GeoParams.compute_εII\nGeoParams.compute_εII!","category":"page"},{"location":"man/shearheating/#Shear-heating","page":"Shear heating","title":"Shear heating","text":"","category":"section"},{"location":"man/shearheating/#Methods","page":"Shear heating","title":"Methods","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"Heat caused by non-recoverable deformation can be specified in ","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","text":"ConstantShearheating(Χ=0.0NoUnits)\n\nSet the shear heating efficiency [0-1] parameter\n\nΧ  = cst\n\nwhere Chi is the shear heating efficiency [NoUnits]\n\nShear heating is computed as\n\nH_s = Chi cdot tau_ij(dotvarepsilon_ij - dotvarepsilon^el_ij)\n\n\n\n\n\n","category":"type"},{"location":"man/shearheating/#Computational-routines","page":"Shear heating","title":"Computational routines","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"To compute, use this:","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.compute_shearheating\nGeoParams.MaterialParameters.Shearheating.compute_shearheating!","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating","text":"H_s = compute_shearheating(s:<AbstractShearheating, τ, ε, ε_el)\n\nComputes the shear heating source term\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\n\n\n\n\nH_s = ComputeShearheating(s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij \n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating!","text":"compute_shearheating!(H_s, s:<AbstractShearheating,  τ, ε, ε_el)\n\nComputes the shear heating source term in-place\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\nNOTE: The shear heating terms require the full deviatoric stress & strain rate tensors, i.e.:\n\n2D tau_ij = left(   \n                beginmatrix\n                    tau_xx  tau_xz \n                    tau_zx  tau_zz \n                endmatrix \n            right)\n\nSince tau_zx=tau_xz, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used! \n\n\n\n\n\ncompute_shearheating!(H_s, s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term H_s in-place when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij \n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#Nondimensionalization","page":"Nondimensionalization","title":"Nondimensionalization","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between GEO, SI or NO units:","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"SI units assume all input and output is in SI units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).\nGEO units uses SI units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as Myrs,km or MPa\nNO units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that velocity is given in m/s).","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"A dimensional parameter can be transformed into a non-dimensional one with nondimensionalize.","category":"page"},{"location":"man/nondimensionalize/#Specify-characteristic-values","page":"Nondimensionalization","title":"Specify characteristic values","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Characteristic values can be defined in 3 ways.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"GeoParams.Units\nAbstractGeoUnit\nGeoUnit\nGeoUnits\nGEO_units\nSI_units\nNO_units\n@unpack_val\n@unpack_units","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units","page":"Nondimensionalization","title":"GeoParams.Units","text":"This provides units and creates a non-dimensionalization object\n\n\n\n\n\n","category":"module"},{"location":"man/nondimensionalize/#GeoParams.Units.AbstractGeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.AbstractGeoUnit","text":"AbstractGeoUnit\n\nAbstract supertype for geo units.\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnit","text":"Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.\n\nHaving that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.\nWith the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnits","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnits","text":"GeoUnits\n\nStructure that holds parameters used for non-dimensionalization\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GEO_units","page":"Nondimensionalization","title":"GeoParams.Units.GEO_units","text":"GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)\n\nCreates a non-dimensionalization object using GEO units.\n\nGEO units implies that upon dimensionalization, time will be in Myrs, length in km, stress in MPa, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (km or m), provided the unit is specified.\n\nExamples:\n\njulia> CharUnits = GEO_units()\nEmploying GEO units \nCharacteristic values: \n         length:      1000 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\njulia> CharUnits.velocity\n1.0e-7 m s⁻¹\n\nIf we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic length:\n\njulia> CharUnits = GEO_units(length=10km)\nEmploying GEO units \nCharacteristic values: \n         length:      10 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.SI_units","page":"Nondimensionalization","title":"GeoParams.Units.SI_units","text":"CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)\n\nSpecify the characteristic values using SI units \n\nExamples:\n\njulia> CharUnits = SI_units(length=1000m)\nEmploying SI units \nCharacteristic values: \n         length:      1000 m\n         time:        1.0e19 s\n         stress:      10 Pa\n         temperature: 1000.0 K\n\nNote that the same can be achieved if the input is given in km:\n\njulia> CharUnits = SI_units(length=1km)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.NO_units","page":"Nondimensionalization","title":"GeoParams.Units.NO_units","text":"CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)\n\nSpecify the characteristic values in non-dimensional units\n\nExamples:\n\njulia> using GeoParams;\njulia> CharUnits = NO_units()\nEmploying NONE units \nCharacteristic values: \n         length:      1\n         time:        1.0 \n         stress:      1\n         temperature: 1.0\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_val","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_val","text":"This unpacks the numerical value of `GeoUnit` in a structure, without the units.\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_val ρ,α = r\njulia> α\n4.0e-5\njulia> typeof(α)\nFloat64\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_units","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_units","text":"This unpacks the numerical value with units of `GeoUnit` parameters in a structure\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_units ρ,α = r\njulia> α\n4.0e-5 K⁻¹·⁰\njulia> typeof(α)\nQuantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#(Non)-dimensionalize-parameters","page":"Nondimensionalization","title":"(Non)-dimensionalize parameters","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"nondimensionalize\ndimensionalize\nisDimensional","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units.nondimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.nondimensionalize","text":"nondimensionalize(param, CharUnits::GeoUnits{TYPE})\n\nNondimensionalizes param using the characteristic values specified in CharUnits\n\nExample 1\n\njulia> using GeoParams;\njulia> CharUnits =   GEO_units();\njulia> v         =   3cm/yr\n3 cm yr⁻¹ \njulia> v_ND      =   nondimensionalize(v, CharUnits) \n0.009506426344208684\n\nExample 2\n\nIn geodynamics one sometimes encounters more funky units\n\njulia> CharUnits =   GEO_units();\njulia> A         =   6.3e-2MPa^-3.05*s^-1\n0.063 MPa⁻³·⁰⁵ s⁻¹\njulia> A_ND      =   nondimensionalize(A, CharUnits) \n7.068716262102384e14\n\nIn case you are interested to see how the units of A look like in different units, use this function from the Unitful package:\n\njulia> uconvert(u\"Pa^-3.05*s^-1\",A) \n3.157479571851836e-20 Pa⁻³·⁰⁵\n\nand to see it decomposed in the basic SI units of length, mass and time:\n\njulia> upreferred(A)\n3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵\n\n\n\n\n\nMatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nNon-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\nnondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nnondimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.dimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.dimensionalize","text":"dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes param into the dimensions param_dim using the characteristic values specified in CharUnits.  \n\nExample\n\njulia> CharUnits =   GEO_units();\njulia> v_ND      =   nondimensionalize(3cm/yr, CharUnits) \n0.031688087814028945\njulia> v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) \n3.0 cm yr⁻¹\n\n\n\n\n\ndimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\nDimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nDimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.isDimensional","page":"Nondimensionalization","title":"GeoParams.Units.isDimensional","text":"isDimensional(MatParam::AbstractMaterialParam)\n\ntrue if MatParam is in dimensional units.    \n\n\n\n\n\n","category":"function"},{"location":"man/density/#Density","page":"Density","title":"Density","text":"","category":"section"},{"location":"man/density/#Methods","page":"Density","title":"Methods","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"The density equation of state can be specified in a number of ways","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.ConstantDensity\nGeoParams.MaterialParameters.Density.PT_Density\nGeoParams.MaterialParameters.Density.Compressible_Density","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.ConstantDensity","page":"Density","title":"GeoParams.MaterialParameters.Density.ConstantDensity","text":"ConstantDensity(ρ=2900kg/m^3)\n\nSet a constant density:\n\n    rho  = cst\n\nwhere rho is the density [kgm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.PT_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.PT_Density","text":"PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)\n\nSet a pressure and temperature-dependent density:\n\n    rho  = rho_0 (10 - alpha (T-T_0) + beta  (P-P_0) )  \n\nwhere rho_0 is the density [kgm^3] at reference temperature T_0 and pressure P_0, alpha is the temperature dependence of density and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.Compressible_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.Compressible_Density","text":"Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)\n\nSet a pressure-dependent density:\n\n    rho  = rho_0 exp(β*(P - P_0))  \n\nwhere rho_0 is the density [kgm^3] at reference pressure P_0 and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#Computational-routines","page":"Density","title":"Computational routines","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"To evaluate density within a user routine, use this:","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.compute_density\nGeoParams.MaterialParameters.Density.compute_density!","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density","text":"compute_density(P,T, s::PhaseDiagram_LookupTable)\n\nInterpolates density as a function of T,P from a lookup table  \n\n\n\n\n\n","category":"function"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density!","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density!","text":"compute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I<:Integer}\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\nExample\n\njulia> MatParam = (SetMaterialParams(Name=\"Mantle\", Phase=1,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                        Density   = PT_Density()\n                        ),\n                    SetMaterialParams(Name=\"Crust\", Phase=2,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),\n                        Density   = ConstantDensity(ρ=2900kg/m^3))\n                  );\njulia> Phases = ones(Int64,400,400);\njulia> Phases[:,20:end] .= 2\njulia> rho     = zeros(size(Phases))\njulia> T       =  ones(size(Phases))\njulia> P       =  ones(size(Phases))*10\njulia> compute_density!(rho, MatParam, Phases, P, T)\njulia> rho\n400×400 Matrix{Float64}:\n2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮                            \n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n\nThe routine is made to minimize allocations:\n\njulia> using BenchmarkTools\njulia> @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)\n    203.468 μs (0 allocations: 0 bytes)\n\n_____________________________________________________________________________________________________________________________   \n\ncompute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/density/","page":"Density","title":"Density","text":"Note that density values are usually not used in itself in the governing PDE's, but usually in combination with other parameters, such as rho g or rho c_p. the non-dimensional value of rho may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.","category":"page"},{"location":"man/gravity/#Gravitational-acceleration","page":"Gravity","title":"Gravitational acceleration","text":"","category":"section"},{"location":"man/gravity/#Methods","page":"Gravity","title":"Methods","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"Gravitational acceleration is defined as ","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","text":"GravityConstant(g=9.81m/s^2)\n\nSet a constant value for the gravitational acceleration:\n\n    g  = 981 m s^-2\n\n\n\n\n\n","category":"type"},{"location":"man/gravity/#Computational-routines","page":"Gravity","title":"Computational routines","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"To compute, use this:","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","text":"compute_gravity(s:<AbstractGravity)\n\nReturns the gravitational acceleration \n\n\n\n\n\n","category":"function"},{"location":"#GeoParams.jl","page":"Home","title":"GeoParams.jl","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:","category":"page"},{"location":"","page":"Home","title":"Home","text":"Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).\nMaterial parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. ","category":"page"},{"location":"","page":"Home","title":"Home","text":"We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).","category":"page"},{"location":"man/conductivity/#Conductivity","page":"Conductivity","title":"Conductivity","text":"","category":"section"},{"location":"man/conductivity/#Methods","page":"Conductivity","title":"Methods","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"Thermal conductivity is defined as ","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity\nGeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington\nGeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised\nGeoParams.MaterialParameters.Conductivity.TP_Conductivity\nGeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity","text":"ConstantConductivity(k=3.0W/m/K)\n\nSet a constant conductivity\n\n    k  = cst\n\nwhere k is the thermal conductivity [WmK].\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington","text":"T_Conductivity_Whittington()\n\nSets a temperature-dependent conductivity following the parameterization of Whittington, A.G., Hofmeister, A.M., Nabelek, P.I., 2009. Temperature-dependent thermal diffusivity of the Earth’s crust and implications for magmatism. Nature 458, 319–321. https://doi.org/10.1038/nature07818.  Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us to compute \n\n    Cp = a + b T - cT^2 \n\n    kappa = dT - e textrm if  T=846K\n\n    kappa = f - g*T textrm if  T846K\n\n    rho = 2700 kgm^3\n\n    k = kappa rho Cp\n\nwhere Cp is the heat capacity [JmolK], and abc are parameters that dependent on the temperature T:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nd = 576.3m^2/s*K      \ne = 0.062m^2/s        \nf = 0.732m^2/s        \ng = 0.000135m^2/s/K \n\nThis looks like:\n\n(Image: subet1)\n\nExample\n\njulia> using GeoParams, Plots\njulia> p=T_Conductivity_Whittington();\njulia> T,k,plt = PlotConductivity(p)\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised","text":"T_Conductivity_Whittington_parameterised()\n\nSets a temperature-dependent conductivity that is  parameterization after Whittington, et al.  2009 \n\nThe original parameterization involves quite a few parameters; this is a polynomial fit that is roughly valid from 0-1000Celcius\n\n    k WmK = -2 10^-9 (T-Ts)^3 + 6 10^-6 (T-Ts)^2 - 00062 (T-Ts) + 4\n\n    Ts = 27315 K\n\nwhere T[K] is the temperature in Kelvin (or the nondimensional equivalent of it).\n\nThe comparison of this parameterisation vs. the original one is: (Image: subet1)\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.TP_Conductivity","text":"TP_Conductivity()\n\nSets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for  \n\n    k = left( a_k +  b_k over T + c_k right) (1 + d_k P) \n\nwhere k is the conductivity [WKm], and a_kb_kc_kd_k are parameters that dependent on the temperature T and pressure P:\n\na_k = 1.18Watt/K/m    \nb_k = 474Watt/m \nc_k = 77K       \nd_k = 0/MPa       \n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","text":"Set_TP_Conductivity[\"Name of temperature(-pressure) dependent conductivity\"]\n\nThis is a dictionary with pre-defined laws:\n\n\"UpperCrust\"    \n\"LowerCrust\"\n\"OceanicCrust\"\n\"Mantle\"\n\nExample\n\njulia> k=Set_TP_Conductivity[\"Mantle\"]\nT/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)  \n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#Computational-routines","page":"Conductivity","title":"Computational routines","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"To compute, use this:","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.compute_conductivity\nGeoParams.MaterialParameters.Conductivity.compute_conductivity!","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity","text":"k = compute_conductivity(P, T, s:<AbstractConductivity)\n\nReturns the thermal conductivity k at any temperature T and pressure P using any of the parameterizations implemented.\n\nCurrently available:\n\nConstantConductivity\nT_Conductivity_Whittington\nTP_Conductivity\n\nExample\n\nUsing dimensional units\n\njulia> T  = (250:100:1250)*K;\njulia> cp = T_HeatCapacity_Whittington()\njulia> Cp = ComputeHeatCapacity(0,T,cp)\n\n\n\n\n\ncompute_conductivity!(K::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},Temp::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of conductivity K for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and Temp arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n_________________________________________________________________________________________________________\n\ncompute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity!","text":"compute_conductivity(k_array::AbstractArray{<:AbstractFloat,N},P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, s::ConstantConductivity) where N\n\nIn-place routine to compute constant conductivity    \n\n\n\n\n\n","category":"function"}]
+}
diff --git a/v0.3.18/siteinfo.js b/v0.3.18/siteinfo.js
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diff --git a/v0.3.7/assets/documenter.js b/v0.3.7/assets/documenter.js
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+  });
+  $("#documenter > .docs-main").bind('click', function(ev) {
+    if ($(ev.target).is(sidebar_button)) {
+      return;
+    }
+    if (sidebar.hasClass('visible')) {
+      sidebar.removeClass('visible');
+    }
+  });
+})
+
+// Resizes the package name / sitename in the sidebar if it is too wide.
+// Inspired by: https://github.com/davatron5000/FitText.js
+$(document).ready(function() {
+  e = $("#documenter .docs-autofit");
+  function resize() {
+    var L = parseInt(e.css('max-width'), 10);
+    var L0 = e.width();
+    if(L0 > L) {
+      var h0 = parseInt(e.css('font-size'), 10);
+      e.css('font-size', L * h0 / L0);
+      // TODO: make sure it survives resizes?
+    }
+  }
+  // call once and then register events
+  resize();
+  $(window).resize(resize);
+  $(window).on('orientationchange', resize);
+});
+
+// Scroll the navigation bar to the currently selected menu item
+$(document).ready(function() {
+  var sidebar = $("#documenter .docs-menu").get(0);
+  var active = $("#documenter .docs-menu .is-active").get(0);
+  if(typeof active !== 'undefined') {
+    sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15;
+  }
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+function set_theme(theme) {
+  var active = null;
+  var disabled = [];
+  for (var i = 0; i < document.styleSheets.length; i++) {
+    var ss = document.styleSheets[i];
+    var themename = ss.ownerNode.getAttribute("data-theme-name");
+    if(themename === null) continue; // ignore non-theme stylesheets
+    // Find the active theme
+    if(themename === theme) active = ss;
+    else disabled.push(ss);
+  }
+  if(active !== null) {
+    active.disabled = false;
+    if(active.ownerNode.getAttribute("data-theme-primary") === null) {
+      document.getElementsByTagName('html')[0].className = "theme--" + theme;
+    } else {
+      document.getElementsByTagName('html')[0].className = "";
+    }
+    disabled.forEach(function(ss){
+      ss.disabled = true;
+    });
+  }
+
+  // Store the theme in localStorage
+  if(typeof(window.localStorage) !== "undefined") {
+    window.localStorage.setItem("documenter-theme", theme);
+  } else {
+    console.error("Browser does not support window.localStorage");
+  }
+}
+
+// Theme picker setup
+$(document).ready(function() {
+  // onchange callback
+  $('#documenter-themepicker').change(function themepick_callback(ev){
+    var themename = $('#documenter-themepicker option:selected').attr('value');
+    set_theme(themename);
+  });
+
+  // Make sure that the themepicker displays the correct theme when the theme is retrieved
+  // from localStorage
+  if(typeof(window.localStorage) !== "undefined") {
+    var theme =  window.localStorage.getItem("documenter-theme");
+    if(theme !== null) {
+      $('#documenter-themepicker option').each(function(i,e) {
+        e.selected = (e.value === theme);
+      })
+    } else {
+      $('#documenter-themepicker option').each(function(i,e) {
+        e.selected = $("html").hasClass(`theme--${e.value}`);
+      })
+    }
+  }
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// update the version selector with info from the siteinfo.js and ../versions.js files
+$(document).ready(function() {
+  var version_selector = $("#documenter .docs-version-selector");
+  var version_selector_select = $("#documenter .docs-version-selector select");
+
+  version_selector_select.change(function(x) {
+    target_href = version_selector_select.children("option:selected").get(0).value;
+    window.location.href = target_href;
+  });
+
+  // add the current version to the selector based on siteinfo.js, but only if the selector is empty
+  if (typeof DOCUMENTER_CURRENT_VERSION !== 'undefined' && $('#version-selector > option').length == 0) {
+    var option = $("<option value='#' selected='selected'>" + DOCUMENTER_CURRENT_VERSION + "</option>");
+    version_selector_select.append(option);
+  }
+
+  if (typeof DOC_VERSIONS !== 'undefined') {
+    var existing_versions = version_selector_select.children("option");
+    var existing_versions_texts = existing_versions.map(function(i,x){return x.text});
+    DOC_VERSIONS.forEach(function(each) {
+      var version_url = documenterBaseURL + "/../" + each;
+      var existing_id = $.inArray(each, existing_versions_texts);
+      // if not already in the version selector, add it as a new option,
+      // otherwise update the old option with the URL and enable it
+      if (existing_id == -1) {
+        var option = $("<option value='" + version_url + "'>" + each + "</option>");
+        version_selector_select.append(option);
+      } else {
+        var option = existing_versions[existing_id];
+        option.value = version_url;
+        option.disabled = false;
+      }
+    });
+  }
+
+  // only show the version selector if the selector has been populated
+  if (version_selector_select.children("option").length > 0) {
+    version_selector.toggleClass("visible");
+  }
+})
+
+})
diff --git a/v0.3.7/assets/search.js b/v0.3.7/assets/search.js
new file mode 100644
index 000000000..1a5145473
--- /dev/null
+++ b/v0.3.7/assets/search.js
@@ -0,0 +1,251 @@
+// Generated by Documenter.jl
+requirejs.config({
+  paths: {
+    'lunr': 'https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min',
+    'lodash': 'https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.21/lodash.min',
+    'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min',
+  }
+});
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'lunr', 'lodash'], function($, lunr, _) {
+
+$(document).ready(function() {
+  // parseUri 1.2.2
+  // (c) Steven Levithan <stevenlevithan.com>
+  // MIT License
+  function parseUri (str) {
+    var  o   = parseUri.options,
+      m   = o.parser[o.strictMode ? "strict" : "loose"].exec(str),
+      uri = {},
+      i   = 14;
+
+    while (i--) uri[o.key[i]] = m[i] || "";
+
+    uri[o.q.name] = {};
+    uri[o.key[12]].replace(o.q.parser, function ($0, $1, $2) {
+      if ($1) uri[o.q.name][$1] = $2;
+    });
+
+    return uri;
+  };
+  parseUri.options = {
+    strictMode: false,
+    key: ["source","protocol","authority","userInfo","user","password","host","port","relative","path","directory","file","query","anchor"],
+    q:   {
+      name:   "queryKey",
+      parser: /(?:^|&)([^&=]*)=?([^&]*)/g
+    },
+    parser: {
+      strict: /^(?:([^:\/?#]+):)?(?:\/\/((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?))?((((?:[^?#\/]*\/)*)([^?#]*))(?:\?([^#]*))?(?:#(.*))?)/,
+      loose:  /^(?:(?![^:@]+:[^:@\/]*@)([^:\/?#.]+):)?(?:\/\/)?((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?)(((\/(?:[^?#](?![^?#\/]*\.[^?#\/.]+(?:[?#]|$)))*\/?)?([^?#\/]*))(?:\?([^#]*))?(?:#(.*))?)/
+    }
+  };
+
+  $("#search-form").submit(function(e) {
+    e.preventDefault()
+  })
+
+  // list below is the lunr 2.1.3 list minus the intersect with names(Base)
+  // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with)
+  // ideally we'd just filter the original list but it's not available as a variable
+  lunr.stopWordFilter = lunr.generateStopWordFilter([
+    'a',
+    'able',
+    'about',
+    'across',
+    'after',
+    'almost',
+    'also',
+    'am',
+    'among',
+    'an',
+    'and',
+    'are',
+    'as',
+    'at',
+    'be',
+    'because',
+    'been',
+    'but',
+    'by',
+    'can',
+    'cannot',
+    'could',
+    'dear',
+    'did',
+    'does',
+    'either',
+    'ever',
+    'every',
+    'from',
+    'got',
+    'had',
+    'has',
+    'have',
+    'he',
+    'her',
+    'hers',
+    'him',
+    'his',
+    'how',
+    'however',
+    'i',
+    'if',
+    'into',
+    'it',
+    'its',
+    'just',
+    'least',
+    'like',
+    'likely',
+    'may',
+    'me',
+    'might',
+    'most',
+    'must',
+    'my',
+    'neither',
+    'no',
+    'nor',
+    'not',
+    'of',
+    'off',
+    'often',
+    'on',
+    'or',
+    'other',
+    'our',
+    'own',
+    'rather',
+    'said',
+    'say',
+    'says',
+    'she',
+    'should',
+    'since',
+    'so',
+    'some',
+    'than',
+    'that',
+    'the',
+    'their',
+    'them',
+    'then',
+    'there',
+    'these',
+    'they',
+    'this',
+    'tis',
+    'to',
+    'too',
+    'twas',
+    'us',
+    'wants',
+    'was',
+    'we',
+    'were',
+    'what',
+    'when',
+    'who',
+    'whom',
+    'why',
+    'will',
+    'would',
+    'yet',
+    'you',
+    'your'
+  ])
+
+  // add . as a separator, because otherwise "title": "Documenter.Anchors.add!"
+  // would not find anything if searching for "add!", only for the entire qualification
+  lunr.tokenizer.separator = /[\s\-\.]+/
+
+  // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names
+  lunr.trimmer = function (token) {
+    return token.update(function (s) {
+      return s.replace(/^[^a-zA-Z0-9@!]+/, '').replace(/[^a-zA-Z0-9@!]+$/, '')
+    })
+  }
+
+  lunr.Pipeline.registerFunction(lunr.stopWordFilter, 'juliaStopWordFilter')
+  lunr.Pipeline.registerFunction(lunr.trimmer, 'juliaTrimmer')
+
+  var index = lunr(function () {
+    this.ref('location')
+    this.field('title',{boost: 100})
+    this.field('text')
+    documenterSearchIndex['docs'].forEach(function(e) {
+        this.add(e)
+    }, this)
+  })
+  var store = {}
+
+  documenterSearchIndex['docs'].forEach(function(e) {
+      store[e.location] = {title: e.title, category: e.category, page: e.page}
+  })
+
+  $(function(){
+    searchresults = $('#documenter-search-results');
+    searchinfo = $('#documenter-search-info');
+    searchbox = $('#documenter-search-query');
+    function update_search(querystring) {
+      tokens = lunr.tokenizer(querystring)
+      results = index.query(function (q) {
+        tokens.forEach(function (t) {
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 100,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 10,
+            usePipeline: true,
+            editDistance: 2,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["text"],
+            boost: 1,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+        })
+      })
+      searchinfo.text("Number of results: " + results.length)
+      searchresults.empty()
+      results.forEach(function(result) {
+        data = store[result.ref]
+        link = $('<a class="docs-label">'+data.title+'</a>')
+        link.attr('href', documenterBaseURL+'/'+result.ref)
+        if (data.category != "page"){
+          cat = $('<span class="docs-category">('+data.category+', '+data.page+')</span>')
+        } else {
+          cat = $('<span class="docs-category">('+data.category+')</span>')
+        }
+        li = $('<li>').append(link).append(" ").append(cat)
+        searchresults.append(li)
+      })
+    }
+
+    function update_search_box() {
+      querystring = searchbox.val()
+      update_search(querystring)
+    }
+
+    searchbox.keyup(_.debounce(update_search_box, 250))
+    searchbox.change(update_search_box)
+
+    search_query_uri = parseUri(window.location).queryKey["q"]
+    if(search_query_uri !== undefined) {
+      search_query = decodeURIComponent(search_query_uri.replace(/\+/g, '%20'))
+      searchbox.val(search_query)
+    }
+    update_search_box();
+  })
+})
+
+})
diff --git a/v0.3.7/assets/themes/documenter-dark.css b/v0.3.7/assets/themes/documenter-dark.css
new file mode 100644
index 000000000..360814137
--- /dev/null
+++ b/v0.3.7/assets/themes/documenter-dark.css
@@ -0,0 +1,7702 @@
+@charset "UTF-8";
+/* Font Awesome 5 mixin. Can be included in any rule that should render Font Awesome icons. */
+@keyframes spinAround {
+  from {
+    transform: rotate(0deg); }
+  to {
+    transform: rotate(359deg); } }
+
+html.theme--documenter-dark .tabs, html.theme--documenter-dark .pagination-previous,
+html.theme--documenter-dark .pagination-next,
+html.theme--documenter-dark .pagination-link,
+html.theme--documenter-dark .pagination-ellipsis, html.theme--documenter-dark .breadcrumb, html.theme--documenter-dark .file, html.theme--documenter-dark .button, .is-unselectable, html.theme--documenter-dark .modal-close, html.theme--documenter-dark .delete {
+  -webkit-touch-callout: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  user-select: none; }
+
+html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after, html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after {
+  border: 3px solid transparent;
+  border-radius: 2px;
+  border-right: 0;
+  border-top: 0;
+  content: " ";
+  display: block;
+  height: 0.625em;
+  margin-top: -0.4375em;
+  pointer-events: none;
+  position: absolute;
+  top: 50%;
+  transform: rotate(-45deg);
+  transform-origin: center;
+  width: 0.625em; }
+
+html.theme--documenter-dark .admonition:not(:last-child), html.theme--documenter-dark .tabs:not(:last-child), html.theme--documenter-dark .message:not(:last-child), html.theme--documenter-dark .list:not(:last-child), html.theme--documenter-dark .level:not(:last-child), html.theme--documenter-dark .breadcrumb:not(:last-child), html.theme--documenter-dark .highlight:not(:last-child), html.theme--documenter-dark .block:not(:last-child), html.theme--documenter-dark .title:not(:last-child),
+html.theme--documenter-dark .subtitle:not(:last-child), html.theme--documenter-dark .table-container:not(:last-child), html.theme--documenter-dark .table:not(:last-child), html.theme--documenter-dark .progress:not(:last-child), html.theme--documenter-dark .notification:not(:last-child), html.theme--documenter-dark .content:not(:last-child), html.theme--documenter-dark .box:not(:last-child) {
+  margin-bottom: 1.5rem; }
+
+html.theme--documenter-dark .modal-close, html.theme--documenter-dark .delete {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  background-color: rgba(10, 10, 10, 0.2);
+  border: none;
+  border-radius: 290486px;
+  cursor: pointer;
+  pointer-events: auto;
+  display: inline-block;
+  flex-grow: 0;
+  flex-shrink: 0;
+  font-size: 0;
+  height: 20px;
+  max-height: 20px;
+  max-width: 20px;
+  min-height: 20px;
+  min-width: 20px;
+  outline: none;
+  position: relative;
+  vertical-align: top;
+  width: 20px; }
+  html.theme--documenter-dark .modal-close::before, html.theme--documenter-dark .delete::before, html.theme--documenter-dark .modal-close::after, html.theme--documenter-dark .delete::after {
+    background-color: white;
+    content: "";
+    display: block;
+    left: 50%;
+    position: absolute;
+    top: 50%;
+    transform: translateX(-50%) translateY(-50%) rotate(45deg);
+    transform-origin: center center; }
+  html.theme--documenter-dark .modal-close::before, html.theme--documenter-dark .delete::before {
+    height: 2px;
+    width: 50%; }
+  html.theme--documenter-dark .modal-close::after, html.theme--documenter-dark .delete::after {
+    height: 50%;
+    width: 2px; }
+  html.theme--documenter-dark .modal-close:hover, html.theme--documenter-dark .delete:hover, html.theme--documenter-dark .modal-close:focus, html.theme--documenter-dark .delete:focus {
+    background-color: rgba(10, 10, 10, 0.3); }
+  html.theme--documenter-dark .modal-close:active, html.theme--documenter-dark .delete:active {
+    background-color: rgba(10, 10, 10, 0.4); }
+  html.theme--documenter-dark .is-small.modal-close, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.modal-close, html.theme--documenter-dark .is-small.delete, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.delete {
+    height: 16px;
+    max-height: 16px;
+    max-width: 16px;
+    min-height: 16px;
+    min-width: 16px;
+    width: 16px; }
+  html.theme--documenter-dark .is-medium.modal-close, html.theme--documenter-dark .is-medium.delete {
+    height: 24px;
+    max-height: 24px;
+    max-width: 24px;
+    min-height: 24px;
+    min-width: 24px;
+    width: 24px; }
+  html.theme--documenter-dark .is-large.modal-close, html.theme--documenter-dark .is-large.delete {
+    height: 32px;
+    max-height: 32px;
+    max-width: 32px;
+    min-height: 32px;
+    min-width: 32px;
+    width: 32px; }
+
+html.theme--documenter-dark .control.is-loading::after, html.theme--documenter-dark .select.is-loading::after, html.theme--documenter-dark .loader, html.theme--documenter-dark .button.is-loading::after {
+  animation: spinAround 500ms infinite linear;
+  border: 2px solid #dbdee0;
+  border-radius: 290486px;
+  border-right-color: transparent;
+  border-top-color: transparent;
+  content: "";
+  display: block;
+  height: 1em;
+  position: relative;
+  width: 1em; }
+
+html.theme--documenter-dark .hero-video, html.theme--documenter-dark .modal-background, html.theme--documenter-dark .modal, html.theme--documenter-dark .image.is-square img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square img,
+html.theme--documenter-dark .image.is-square .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, html.theme--documenter-dark .image.is-1by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+html.theme--documenter-dark .image.is-1by1 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, html.theme--documenter-dark .image.is-5by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+html.theme--documenter-dark .image.is-5by4 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, html.theme--documenter-dark .image.is-4by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+html.theme--documenter-dark .image.is-4by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, html.theme--documenter-dark .image.is-3by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+html.theme--documenter-dark .image.is-3by2 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, html.theme--documenter-dark .image.is-5by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+html.theme--documenter-dark .image.is-5by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, html.theme--documenter-dark .image.is-16by9 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+html.theme--documenter-dark .image.is-16by9 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, html.theme--documenter-dark .image.is-2by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+html.theme--documenter-dark .image.is-2by1 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, html.theme--documenter-dark .image.is-3by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+html.theme--documenter-dark .image.is-3by1 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, html.theme--documenter-dark .image.is-4by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+html.theme--documenter-dark .image.is-4by5 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, html.theme--documenter-dark .image.is-3by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+html.theme--documenter-dark .image.is-3by4 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, html.theme--documenter-dark .image.is-2by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+html.theme--documenter-dark .image.is-2by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, html.theme--documenter-dark .image.is-3by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+html.theme--documenter-dark .image.is-3by5 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, html.theme--documenter-dark .image.is-9by16 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+html.theme--documenter-dark .image.is-9by16 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, html.theme--documenter-dark .image.is-1by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+html.theme--documenter-dark .image.is-1by2 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, html.theme--documenter-dark .image.is-1by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+html.theme--documenter-dark .image.is-1by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio, .is-overlay {
+  bottom: 0;
+  left: 0;
+  position: absolute;
+  right: 0;
+  top: 0; }
+
+html.theme--documenter-dark .pagination-previous,
+html.theme--documenter-dark .pagination-next,
+html.theme--documenter-dark .pagination-link,
+html.theme--documenter-dark .pagination-ellipsis, html.theme--documenter-dark .file-cta,
+html.theme--documenter-dark .file-name, html.theme--documenter-dark .select select, html.theme--documenter-dark .textarea, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark .button {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  align-items: center;
+  border: 1px solid transparent;
+  border-radius: 0.4em;
+  box-shadow: none;
+  display: inline-flex;
+  font-size: 15px;
+  height: 2.25em;
+  justify-content: flex-start;
+  line-height: 1.5;
+  padding-bottom: calc(0.375em - 1px);
+  padding-left: calc(0.625em - 1px);
+  padding-right: calc(0.625em - 1px);
+  padding-top: calc(0.375em - 1px);
+  position: relative;
+  vertical-align: top; }
+  html.theme--documenter-dark .pagination-previous:focus,
+  html.theme--documenter-dark .pagination-next:focus,
+  html.theme--documenter-dark .pagination-link:focus,
+  html.theme--documenter-dark .pagination-ellipsis:focus, html.theme--documenter-dark .file-cta:focus,
+  html.theme--documenter-dark .file-name:focus, html.theme--documenter-dark .select select:focus, html.theme--documenter-dark .textarea:focus, html.theme--documenter-dark .input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:focus, html.theme--documenter-dark .button:focus, html.theme--documenter-dark .is-focused.pagination-previous,
+  html.theme--documenter-dark .is-focused.pagination-next,
+  html.theme--documenter-dark .is-focused.pagination-link,
+  html.theme--documenter-dark .is-focused.pagination-ellipsis, html.theme--documenter-dark .is-focused.file-cta,
+  html.theme--documenter-dark .is-focused.file-name, html.theme--documenter-dark .select select.is-focused, html.theme--documenter-dark .is-focused.textarea, html.theme--documenter-dark .is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-focused.button, html.theme--documenter-dark .pagination-previous:active,
+  html.theme--documenter-dark .pagination-next:active,
+  html.theme--documenter-dark .pagination-link:active,
+  html.theme--documenter-dark .pagination-ellipsis:active, html.theme--documenter-dark .file-cta:active,
+  html.theme--documenter-dark .file-name:active, html.theme--documenter-dark .select select:active, html.theme--documenter-dark .textarea:active, html.theme--documenter-dark .input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:active, html.theme--documenter-dark .button:active, html.theme--documenter-dark .is-active.pagination-previous,
+  html.theme--documenter-dark .is-active.pagination-next,
+  html.theme--documenter-dark .is-active.pagination-link,
+  html.theme--documenter-dark .is-active.pagination-ellipsis, html.theme--documenter-dark .is-active.file-cta,
+  html.theme--documenter-dark .is-active.file-name, html.theme--documenter-dark .select select.is-active, html.theme--documenter-dark .is-active.textarea, html.theme--documenter-dark .is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .is-active.button {
+    outline: none; }
+  html.theme--documenter-dark .pagination-previous[disabled],
+  html.theme--documenter-dark .pagination-next[disabled],
+  html.theme--documenter-dark .pagination-link[disabled],
+  html.theme--documenter-dark .pagination-ellipsis[disabled], html.theme--documenter-dark .file-cta[disabled],
+  html.theme--documenter-dark .file-name[disabled], html.theme--documenter-dark .select select[disabled], html.theme--documenter-dark .textarea[disabled], html.theme--documenter-dark .input[disabled], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled], html.theme--documenter-dark .button[disabled], fieldset[disabled] html.theme--documenter-dark .pagination-previous, html.theme--documenter-dark fieldset[disabled] .pagination-previous,
+  fieldset[disabled] html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark fieldset[disabled] .pagination-next,
+  fieldset[disabled] html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark fieldset[disabled] .pagination-link,
+  fieldset[disabled] html.theme--documenter-dark .pagination-ellipsis,
+  html.theme--documenter-dark fieldset[disabled] .pagination-ellipsis, fieldset[disabled] html.theme--documenter-dark .file-cta, html.theme--documenter-dark fieldset[disabled] .file-cta,
+  fieldset[disabled] html.theme--documenter-dark .file-name,
+  html.theme--documenter-dark fieldset[disabled] .file-name, fieldset[disabled] html.theme--documenter-dark .select select, fieldset[disabled] html.theme--documenter-dark .textarea, fieldset[disabled] html.theme--documenter-dark .input, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark fieldset[disabled] .select select, html.theme--documenter-dark .select fieldset[disabled] select, html.theme--documenter-dark fieldset[disabled] .textarea, html.theme--documenter-dark fieldset[disabled] .input, html.theme--documenter-dark fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar fieldset[disabled] form.docs-search > input, fieldset[disabled] html.theme--documenter-dark .button, html.theme--documenter-dark fieldset[disabled] .button {
+    cursor: not-allowed; }
+
+/*! minireset.css v0.0.4 | MIT License | github.com/jgthms/minireset.css */
+html,
+body,
+p,
+ol,
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+dt,
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+pre,
+iframe,
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+
+ul {
+  list-style: none; }
+
+button,
+input,
+select,
+textarea {
+  margin: 0; }
+
+html {
+  box-sizing: border-box; }
+
+*, *::before, *::after {
+  box-sizing: inherit; }
+
+img,
+embed,
+iframe,
+object,
+video {
+  height: auto;
+  max-width: 100%; }
+
+audio {
+  max-width: 100%; }
+
+iframe {
+  border: 0; }
+
+table {
+  border-collapse: collapse;
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+td,
+th {
+  padding: 0; }
+  td:not([align]),
+  th:not([align]) {
+    text-align: left; }
+
+.is-clearfix::after {
+  clear: both;
+  content: " ";
+  display: table; }
+
+.is-pulled-left {
+  float: left !important; }
+
+.is-pulled-right {
+  float: right !important; }
+
+.is-clipped {
+  overflow: hidden !important; }
+
+.is-size-1 {
+  font-size: 3rem !important; }
+
+.is-size-2 {
+  font-size: 2.5rem !important; }
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+.is-size-3 {
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+
+.is-size-4 {
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+.is-size-5 {
+  font-size: 1.25rem !important; }
+
+.is-size-6 {
+  font-size: 15px !important; }
+
+.is-size-7, html.theme--documenter-dark .docstring > section > a.docs-sourcelink {
+  font-size: 0.85em !important; }
+
+@media screen and (max-width: 768px) {
+  .is-size-1-mobile {
+    font-size: 3rem !important; }
+  .is-size-2-mobile {
+    font-size: 2.5rem !important; }
+  .is-size-3-mobile {
+    font-size: 2rem !important; }
+  .is-size-4-mobile {
+    font-size: 1.5rem !important; }
+  .is-size-5-mobile {
+    font-size: 1.25rem !important; }
+  .is-size-6-mobile {
+    font-size: 15px !important; }
+  .is-size-7-mobile {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-size-1-tablet {
+    font-size: 3rem !important; }
+  .is-size-2-tablet {
+    font-size: 2.5rem !important; }
+  .is-size-3-tablet {
+    font-size: 2rem !important; }
+  .is-size-4-tablet {
+    font-size: 1.5rem !important; }
+  .is-size-5-tablet {
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+  .is-size-6-tablet {
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+  .is-size-7-tablet {
+    font-size: 0.85em !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-size-1-touch {
+    font-size: 3rem !important; }
+  .is-size-2-touch {
+    font-size: 2.5rem !important; }
+  .is-size-3-touch {
+    font-size: 2rem !important; }
+  .is-size-4-touch {
+    font-size: 1.5rem !important; }
+  .is-size-5-touch {
+    font-size: 1.25rem !important; }
+  .is-size-6-touch {
+    font-size: 15px !important; }
+  .is-size-7-touch {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-size-1-desktop {
+    font-size: 3rem !important; }
+  .is-size-2-desktop {
+    font-size: 2.5rem !important; }
+  .is-size-3-desktop {
+    font-size: 2rem !important; }
+  .is-size-4-desktop {
+    font-size: 1.5rem !important; }
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+    font-size: 1.25rem !important; }
+  .is-size-6-desktop {
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+  .is-size-7-desktop {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-size-1-widescreen {
+    font-size: 3rem !important; }
+  .is-size-2-widescreen {
+    font-size: 2.5rem !important; }
+  .is-size-3-widescreen {
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+    font-size: 1.5rem !important; }
+  .is-size-5-widescreen {
+    font-size: 1.25rem !important; }
+  .is-size-6-widescreen {
+    font-size: 15px !important; }
+  .is-size-7-widescreen {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-size-1-fullhd {
+    font-size: 3rem !important; }
+  .is-size-2-fullhd {
+    font-size: 2.5rem !important; }
+  .is-size-3-fullhd {
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+  .is-size-6-fullhd {
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+.has-text-justified {
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+.has-text-right {
+  text-align: right !important; }
+
+@media screen and (max-width: 768px) {
+  .has-text-centered-mobile {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-centered-tablet {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-centered-tablet-only {
+    text-align: center !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-centered-touch {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-centered-desktop {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-centered-desktop-only {
+    text-align: center !important; } }
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+@media screen and (min-width: 1216px) {
+  .has-text-centered-widescreen {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-centered-widescreen-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-centered-fullhd {
+    text-align: center !important; } }
+
+@media screen and (max-width: 768px) {
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+
+@media screen and (min-width: 769px), print {
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+    text-align: justify !important; } }
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+@media screen and (min-width: 769px) and (max-width: 1055px) {
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+@media screen and (min-width: 1056px) {
+  .has-text-justified-desktop {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-justified-desktop-only {
+    text-align: justify !important; } }
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+@media screen and (min-width: 1216px) {
+  .has-text-justified-widescreen {
+    text-align: justify !important; } }
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+    text-align: justify !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-justified-fullhd {
+    text-align: justify !important; } }
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+@media screen and (max-width: 768px) {
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+    text-align: left !important; } }
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+  .has-text-left-desktop-only {
+    text-align: left !important; } }
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+@media screen and (min-width: 1216px) {
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+    text-align: left !important; } }
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+  .has-text-left-fullhd {
+    text-align: left !important; } }
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+  .has-text-right-tablet {
+    text-align: right !important; } }
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+@media screen and (min-width: 769px) and (max-width: 1055px) {
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+    text-align: right !important; } }
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+    text-align: right !important; } }
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+  .has-text-right-fullhd {
+    text-align: right !important; } }
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+.has-text-white {
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+  font-weight: 700 !important; }
+
+.is-family-primary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-secondary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-sans-serif {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-monospace {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-family-code {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-block {
+  display: block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-block-mobile {
+    display: block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-block-tablet {
+    display: block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-block-tablet-only {
+    display: block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-block-touch {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-block-desktop {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-block-desktop-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-block-widescreen {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-block-widescreen-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-block-fullhd {
+    display: block !important; } }
+
+.is-flex {
+  display: flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-flex-mobile {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-flex-tablet {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-flex-tablet-only {
+    display: flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-flex-touch {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-flex-desktop {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-flex-desktop-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-flex-widescreen {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-flex-widescreen-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-flex-fullhd {
+    display: flex !important; } }
+
+.is-inline {
+  display: inline !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-mobile {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-tablet {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-tablet-only {
+    display: inline !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-touch {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-desktop {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-desktop-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-widescreen {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-widescreen-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-fullhd {
+    display: inline !important; } }
+
+.is-inline-block {
+  display: inline-block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-block-mobile {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-block-tablet {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-block-tablet-only {
+    display: inline-block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-block-touch {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-block-desktop {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-block-desktop-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-block-widescreen {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-block-widescreen-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-block-fullhd {
+    display: inline-block !important; } }
+
+.is-inline-flex {
+  display: inline-flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-flex-mobile {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-flex-tablet {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-flex-tablet-only {
+    display: inline-flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-flex-touch {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-flex-desktop {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-flex-desktop-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-flex-widescreen {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-flex-widescreen-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-flex-fullhd {
+    display: inline-flex !important; } }
+
+.is-hidden {
+  display: none !important; }
+
+.is-sr-only {
+  border: none !important;
+  clip: rect(0, 0, 0, 0) !important;
+  height: 0.01em !important;
+  overflow: hidden !important;
+  padding: 0 !important;
+  position: absolute !important;
+  white-space: nowrap !important;
+  width: 0.01em !important; }
+
+@media screen and (max-width: 768px) {
+  .is-hidden-mobile {
+    display: none !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-hidden-tablet {
+    display: none !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-hidden-tablet-only {
+    display: none !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-hidden-touch {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-hidden-desktop {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-hidden-desktop-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-hidden-widescreen {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-hidden-widescreen-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-hidden-fullhd {
+    display: none !important; } }
+
+.is-invisible {
+  visibility: hidden !important; }
+
+@media screen and (max-width: 768px) {
+  .is-invisible-mobile {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-invisible-tablet {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-invisible-tablet-only {
+    visibility: hidden !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-invisible-touch {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-invisible-desktop {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-invisible-desktop-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-invisible-widescreen {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-invisible-widescreen-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-invisible-fullhd {
+    visibility: hidden !important; } }
+
+.is-marginless {
+  margin: 0 !important; }
+
+.is-paddingless {
+  padding: 0 !important; }
+
+.is-radiusless {
+  border-radius: 0 !important; }
+
+.is-shadowless {
+  box-shadow: none !important; }
+
+.is-relative {
+  position: relative !important; }
+
+html.theme--documenter-dark {
+  /* This file contain the overall layout.
+ *
+ * The main container is <div> that is identified by id #documenter.
+ */
+  /*!
+  Theme: a11y-dark
+  Author: @ericwbailey
+  Maintainer: @ericwbailey
+
+  Based on the Tomorrow Night Eighties theme: https://github.com/isagalaev/highlight.js/blob/master/src/styles/tomorrow-night-eighties.css
+*/
+  /* Comment */
+  /* Red */
+  /* Orange */
+  /* Yellow */
+  /* Green */
+  /* Blue */
+  /* Purple */ }
+  html.theme--documenter-dark html {
+    background-color: #1f2424;
+    font-size: 16px;
+    -moz-osx-font-smoothing: grayscale;
+    -webkit-font-smoothing: antialiased;
+    min-width: 300px;
+    overflow-x: auto;
+    overflow-y: scroll;
+    text-rendering: optimizeLegibility;
+    text-size-adjust: 100%; }
+  html.theme--documenter-dark article,
+  html.theme--documenter-dark aside,
+  html.theme--documenter-dark figure,
+  html.theme--documenter-dark footer,
+  html.theme--documenter-dark header,
+  html.theme--documenter-dark hgroup,
+  html.theme--documenter-dark section {
+    display: block; }
+  html.theme--documenter-dark body,
+  html.theme--documenter-dark button,
+  html.theme--documenter-dark input,
+  html.theme--documenter-dark select,
+  html.theme--documenter-dark textarea {
+    font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif; }
+  html.theme--documenter-dark code,
+  html.theme--documenter-dark pre {
+    -moz-osx-font-smoothing: auto;
+    -webkit-font-smoothing: auto;
+    font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace; }
+  html.theme--documenter-dark body {
+    color: #fff;
+    font-size: 1em;
+    font-weight: 400;
+    line-height: 1.5; }
+  html.theme--documenter-dark a {
+    color: #1abc9c;
+    cursor: pointer;
+    text-decoration: none; }
+    html.theme--documenter-dark a strong {
+      color: currentColor; }
+    html.theme--documenter-dark a:hover {
+      color: #1dd2af; }
+  html.theme--documenter-dark code {
+    background-color: rgba(255, 255, 255, 0.05);
+    color: #ececec;
+    font-size: 0.875em;
+    font-weight: normal;
+    padding: 0.1em; }
+  html.theme--documenter-dark hr {
+    background-color: #282f2f;
+    border: none;
+    display: block;
+    height: 2px;
+    margin: 1.5rem 0; }
+  html.theme--documenter-dark img {
+    height: auto;
+    max-width: 100%; }
+  html.theme--documenter-dark input[type="checkbox"],
+  html.theme--documenter-dark input[type="radio"] {
+    vertical-align: baseline; }
+  html.theme--documenter-dark small {
+    font-size: 0.875em; }
+  html.theme--documenter-dark span {
+    font-style: inherit;
+    font-weight: inherit; }
+  html.theme--documenter-dark strong {
+    color: #f2f2f2;
+    font-weight: 700; }
+  html.theme--documenter-dark fieldset {
+    border: none; }
+  html.theme--documenter-dark pre {
+    -webkit-overflow-scrolling: touch;
+    background-color: #282f2f;
+    color: #fff;
+    font-size: 0.875em;
+    overflow-x: auto;
+    padding: 1.25rem 1.5rem;
+    white-space: pre;
+    word-wrap: normal; }
+    html.theme--documenter-dark pre code {
+      background-color: transparent;
+      color: currentColor;
+      font-size: 1em;
+      padding: 0; }
+  html.theme--documenter-dark table td,
+  html.theme--documenter-dark table th {
+    vertical-align: top; }
+    html.theme--documenter-dark table td:not([align]),
+    html.theme--documenter-dark table th:not([align]) {
+      text-align: left; }
+  html.theme--documenter-dark table th {
+    color: #f2f2f2; }
+  html.theme--documenter-dark .box {
+    background-color: #343c3d;
+    border-radius: 8px;
+    box-shadow: none;
+    color: #fff;
+    display: block;
+    padding: 1.25rem; }
+  html.theme--documenter-dark a.box:hover, html.theme--documenter-dark a.box:focus {
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px #1abc9c; }
+  html.theme--documenter-dark a.box:active {
+    box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2), 0 0 0 1px #1abc9c; }
+  html.theme--documenter-dark .button {
+    background-color: #282f2f;
+    border-color: #4c5759;
+    border-width: 1px;
+    color: #375a7f;
+    cursor: pointer;
+    justify-content: center;
+    padding-bottom: calc(0.375em - 1px);
+    padding-left: 0.75em;
+    padding-right: 0.75em;
+    padding-top: calc(0.375em - 1px);
+    text-align: center;
+    white-space: nowrap; }
+    html.theme--documenter-dark .button strong {
+      color: inherit; }
+    html.theme--documenter-dark .button .icon, html.theme--documenter-dark .button .icon.is-small, html.theme--documenter-dark .button #documenter .docs-sidebar form.docs-search > input.icon, html.theme--documenter-dark #documenter .docs-sidebar .button form.docs-search > input.icon, html.theme--documenter-dark .button .icon.is-medium, html.theme--documenter-dark .button .icon.is-large {
+      height: 1.5em;
+      width: 1.5em; }
+    html.theme--documenter-dark .button .icon:first-child:not(:last-child) {
+      margin-left: calc(-0.375em - 1px);
+      margin-right: 0.1875em; }
+    html.theme--documenter-dark .button .icon:last-child:not(:first-child) {
+      margin-left: 0.1875em;
+      margin-right: calc(-0.375em - 1px); }
+    html.theme--documenter-dark .button .icon:first-child:last-child {
+      margin-left: calc(-0.375em - 1px);
+      margin-right: calc(-0.375em - 1px); }
+    html.theme--documenter-dark .button:hover, html.theme--documenter-dark .button.is-hovered {
+      border-color: #8c9b9d;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .button:focus, html.theme--documenter-dark .button.is-focused {
+      border-color: #8c9b9d;
+      color: #17a689; }
+      html.theme--documenter-dark .button:focus:not(:active), html.theme--documenter-dark .button.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .button:active, html.theme--documenter-dark .button.is-active {
+      border-color: #343c3d;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .button.is-text {
+      background-color: transparent;
+      border-color: transparent;
+      color: #fff;
+      text-decoration: underline; }
+      html.theme--documenter-dark .button.is-text:hover, html.theme--documenter-dark .button.is-text.is-hovered, html.theme--documenter-dark .button.is-text:focus, html.theme--documenter-dark .button.is-text.is-focused {
+        background-color: #282f2f;
+        color: #f2f2f2; }
+      html.theme--documenter-dark .button.is-text:active, html.theme--documenter-dark .button.is-text.is-active {
+        background-color: #1d2122;
+        color: #f2f2f2; }
+      html.theme--documenter-dark .button.is-text[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-text {
+        background-color: transparent;
+        border-color: transparent;
+        box-shadow: none; }
+    html.theme--documenter-dark .button.is-white {
+      background-color: white;
+      border-color: transparent;
+      color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-white:hover, html.theme--documenter-dark .button.is-white.is-hovered {
+        background-color: #f9f9f9;
+        border-color: transparent;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-white:focus, html.theme--documenter-dark .button.is-white.is-focused {
+        border-color: transparent;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-white:focus:not(:active), html.theme--documenter-dark .button.is-white.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+      html.theme--documenter-dark .button.is-white:active, html.theme--documenter-dark .button.is-white.is-active {
+        background-color: #f2f2f2;
+        border-color: transparent;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-white[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white {
+        background-color: white;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-white.is-inverted {
+        background-color: #0a0a0a;
+        color: white; }
+        html.theme--documenter-dark .button.is-white.is-inverted:hover, html.theme--documenter-dark .button.is-white.is-inverted.is-hovered {
+          background-color: black; }
+        html.theme--documenter-dark .button.is-white.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted {
+          background-color: #0a0a0a;
+          border-color: transparent;
+          box-shadow: none;
+          color: white; }
+      html.theme--documenter-dark .button.is-white.is-loading::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      html.theme--documenter-dark .button.is-white.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        color: white; }
+        html.theme--documenter-dark .button.is-white.is-outlined:hover, html.theme--documenter-dark .button.is-white.is-outlined.is-hovered, html.theme--documenter-dark .button.is-white.is-outlined:focus, html.theme--documenter-dark .button.is-white.is-outlined.is-focused {
+          background-color: white;
+          border-color: white;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-white.is-outlined.is-loading::after {
+          border-color: transparent transparent white white !important; }
+        html.theme--documenter-dark .button.is-white.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+        html.theme--documenter-dark .button.is-white.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-outlined {
+          background-color: transparent;
+          border-color: white;
+          box-shadow: none;
+          color: white; }
+      html.theme--documenter-dark .button.is-white.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-focused {
+          background-color: #0a0a0a;
+          color: white; }
+        html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent white white !important; }
+        html.theme--documenter-dark .button.is-white.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #0a0a0a;
+          box-shadow: none;
+          color: #0a0a0a; }
+    html.theme--documenter-dark .button.is-black {
+      background-color: #0a0a0a;
+      border-color: transparent;
+      color: white; }
+      html.theme--documenter-dark .button.is-black:hover, html.theme--documenter-dark .button.is-black.is-hovered {
+        background-color: #040404;
+        border-color: transparent;
+        color: white; }
+      html.theme--documenter-dark .button.is-black:focus, html.theme--documenter-dark .button.is-black.is-focused {
+        border-color: transparent;
+        color: white; }
+        html.theme--documenter-dark .button.is-black:focus:not(:active), html.theme--documenter-dark .button.is-black.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+      html.theme--documenter-dark .button.is-black:active, html.theme--documenter-dark .button.is-black.is-active {
+        background-color: black;
+        border-color: transparent;
+        color: white; }
+      html.theme--documenter-dark .button.is-black[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black {
+        background-color: #0a0a0a;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-black.is-inverted {
+        background-color: white;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-black.is-inverted:hover, html.theme--documenter-dark .button.is-black.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-black.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted {
+          background-color: white;
+          border-color: transparent;
+          box-shadow: none;
+          color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-black.is-loading::after {
+        border-color: transparent transparent white white !important; }
+      html.theme--documenter-dark .button.is-black.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-black.is-outlined:hover, html.theme--documenter-dark .button.is-black.is-outlined.is-hovered, html.theme--documenter-dark .button.is-black.is-outlined:focus, html.theme--documenter-dark .button.is-black.is-outlined.is-focused {
+          background-color: #0a0a0a;
+          border-color: #0a0a0a;
+          color: white; }
+        html.theme--documenter-dark .button.is-black.is-outlined.is-loading::after {
+          border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+        html.theme--documenter-dark .button.is-black.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent white white !important; }
+        html.theme--documenter-dark .button.is-black.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-outlined {
+          background-color: transparent;
+          border-color: #0a0a0a;
+          box-shadow: none;
+          color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-black.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        color: white; }
+        html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-focused {
+          background-color: white;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+        html.theme--documenter-dark .button.is-black.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: white;
+          box-shadow: none;
+          color: white; }
+    html.theme--documenter-dark .button.is-light {
+      background-color: #ecf0f1;
+      border-color: transparent;
+      color: #282f2f; }
+      html.theme--documenter-dark .button.is-light:hover, html.theme--documenter-dark .button.is-light.is-hovered {
+        background-color: #e5eaec;
+        border-color: transparent;
+        color: #282f2f; }
+      html.theme--documenter-dark .button.is-light:focus, html.theme--documenter-dark .button.is-light.is-focused {
+        border-color: transparent;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-light:focus:not(:active), html.theme--documenter-dark .button.is-light.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); }
+      html.theme--documenter-dark .button.is-light:active, html.theme--documenter-dark .button.is-light.is-active {
+        background-color: #dde4e6;
+        border-color: transparent;
+        color: #282f2f; }
+      html.theme--documenter-dark .button.is-light[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light {
+        background-color: #ecf0f1;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-light.is-inverted {
+        background-color: #282f2f;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-light.is-inverted:hover, html.theme--documenter-dark .button.is-light.is-inverted.is-hovered {
+          background-color: #1d2122; }
+        html.theme--documenter-dark .button.is-light.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted {
+          background-color: #282f2f;
+          border-color: transparent;
+          box-shadow: none;
+          color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-light.is-loading::after {
+        border-color: transparent transparent #282f2f #282f2f !important; }
+      html.theme--documenter-dark .button.is-light.is-outlined {
+        background-color: transparent;
+        border-color: #ecf0f1;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-light.is-outlined:hover, html.theme--documenter-dark .button.is-light.is-outlined.is-hovered, html.theme--documenter-dark .button.is-light.is-outlined:focus, html.theme--documenter-dark .button.is-light.is-outlined.is-focused {
+          background-color: #ecf0f1;
+          border-color: #ecf0f1;
+          color: #282f2f; }
+        html.theme--documenter-dark .button.is-light.is-outlined.is-loading::after {
+          border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+        html.theme--documenter-dark .button.is-light.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #282f2f #282f2f !important; }
+        html.theme--documenter-dark .button.is-light.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-outlined {
+          background-color: transparent;
+          border-color: #ecf0f1;
+          box-shadow: none;
+          color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-light.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #282f2f;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused {
+          background-color: #282f2f;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+        html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #282f2f;
+          box-shadow: none;
+          color: #282f2f; }
+    html.theme--documenter-dark .button.is-dark, html.theme--documenter-dark .content kbd.button {
+      background-color: #282f2f;
+      border-color: transparent;
+      color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-dark:hover, html.theme--documenter-dark .content kbd.button:hover, html.theme--documenter-dark .button.is-dark.is-hovered, html.theme--documenter-dark .content kbd.button.is-hovered {
+        background-color: #232829;
+        border-color: transparent;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-dark:focus, html.theme--documenter-dark .content kbd.button:focus, html.theme--documenter-dark .button.is-dark.is-focused, html.theme--documenter-dark .content kbd.button.is-focused {
+        border-color: transparent;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-dark:focus:not(:active), html.theme--documenter-dark .content kbd.button:focus:not(:active), html.theme--documenter-dark .button.is-dark.is-focused:not(:active), html.theme--documenter-dark .content kbd.button.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); }
+      html.theme--documenter-dark .button.is-dark:active, html.theme--documenter-dark .content kbd.button:active, html.theme--documenter-dark .button.is-dark.is-active, html.theme--documenter-dark .content kbd.button.is-active {
+        background-color: #1d2122;
+        border-color: transparent;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-dark[disabled], html.theme--documenter-dark .content kbd.button[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark, fieldset[disabled] html.theme--documenter-dark .content kbd.button {
+        background-color: #282f2f;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-dark.is-inverted, html.theme--documenter-dark .content kbd.button.is-inverted {
+        background-color: #ecf0f1;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-dark.is-inverted:hover, html.theme--documenter-dark .content kbd.button.is-inverted:hover, html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered, html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered {
+          background-color: #dde4e6; }
+        html.theme--documenter-dark .button.is-dark.is-inverted[disabled], html.theme--documenter-dark .content kbd.button.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted {
+          background-color: #ecf0f1;
+          border-color: transparent;
+          box-shadow: none;
+          color: #282f2f; }
+      html.theme--documenter-dark .button.is-dark.is-loading::after, html.theme--documenter-dark .content kbd.button.is-loading::after {
+        border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+      html.theme--documenter-dark .button.is-dark.is-outlined, html.theme--documenter-dark .content kbd.button.is-outlined {
+        background-color: transparent;
+        border-color: #282f2f;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-dark.is-outlined:hover, html.theme--documenter-dark .content kbd.button.is-outlined:hover, html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered, html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered, html.theme--documenter-dark .button.is-dark.is-outlined:focus, html.theme--documenter-dark .content kbd.button.is-outlined:focus, html.theme--documenter-dark .button.is-dark.is-outlined.is-focused, html.theme--documenter-dark .content kbd.button.is-outlined.is-focused {
+          background-color: #282f2f;
+          border-color: #282f2f;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after {
+          border-color: transparent transparent #282f2f #282f2f !important; }
+        html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+        html.theme--documenter-dark .button.is-dark.is-outlined[disabled], html.theme--documenter-dark .content kbd.button.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined {
+          background-color: transparent;
+          border-color: #282f2f;
+          box-shadow: none;
+          color: #282f2f; }
+      html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #ecf0f1;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused {
+          background-color: #ecf0f1;
+          color: #282f2f; }
+        html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #282f2f #282f2f !important; }
+        html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled], html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #ecf0f1;
+          box-shadow: none;
+          color: #ecf0f1; }
+    html.theme--documenter-dark .button.is-primary, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink {
+      background-color: #375a7f;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-primary:hover, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-hovered.docs-sourcelink {
+        background-color: #335476;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-primary:focus, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-primary:focus:not(:active), html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus:not(:active), html.theme--documenter-dark .button.is-primary.is-focused:not(:active), html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); }
+      html.theme--documenter-dark .button.is-primary:active, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:active, html.theme--documenter-dark .button.is-primary.is-active, html.theme--documenter-dark .docstring > section > a.button.is-active.docs-sourcelink {
+        background-color: #2f4d6d;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-primary[disabled], html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink {
+        background-color: #375a7f;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-primary.is-inverted, html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink {
+        background-color: #fff;
+        color: #375a7f; }
+        html.theme--documenter-dark .button.is-primary.is-inverted:hover, html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-inverted.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-hovered.docs-sourcelink {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-primary.is-inverted[disabled], html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #375a7f; }
+      html.theme--documenter-dark .button.is-primary.is-loading::after, html.theme--documenter-dark .docstring > section > a.button.is-loading.docs-sourcelink::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-primary.is-outlined, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #375a7f;
+        color: #375a7f; }
+        html.theme--documenter-dark .button.is-primary.is-outlined:hover, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-outlined.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-outlined:focus, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-outlined.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-focused.docs-sourcelink {
+          background-color: #375a7f;
+          border-color: #375a7f;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-primary.is-outlined.is-loading::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink::after {
+          border-color: transparent transparent #375a7f #375a7f !important; }
+        html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:hover::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:hover::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:focus::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:focus::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-primary.is-outlined[disabled], html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-outlined, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink {
+          background-color: transparent;
+          border-color: #375a7f;
+          box-shadow: none;
+          color: #375a7f; }
+      html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined:hover, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined:focus, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-focused.docs-sourcelink {
+          background-color: #fff;
+          color: #375a7f; }
+        html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+          border-color: transparent transparent #375a7f #375a7f !important; }
+        html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined[disabled], html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-link {
+      background-color: #1abc9c;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-link:hover, html.theme--documenter-dark .button.is-link.is-hovered {
+        background-color: #18b193;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-link:focus, html.theme--documenter-dark .button.is-link.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-link:focus:not(:active), html.theme--documenter-dark .button.is-link.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+      html.theme--documenter-dark .button.is-link:active, html.theme--documenter-dark .button.is-link.is-active {
+        background-color: #17a689;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-link[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link {
+        background-color: #1abc9c;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-link.is-inverted {
+        background-color: #fff;
+        color: #1abc9c; }
+        html.theme--documenter-dark .button.is-link.is-inverted:hover, html.theme--documenter-dark .button.is-link.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-link.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #1abc9c; }
+      html.theme--documenter-dark .button.is-link.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-link.is-outlined {
+        background-color: transparent;
+        border-color: #1abc9c;
+        color: #1abc9c; }
+        html.theme--documenter-dark .button.is-link.is-outlined:hover, html.theme--documenter-dark .button.is-link.is-outlined.is-hovered, html.theme--documenter-dark .button.is-link.is-outlined:focus, html.theme--documenter-dark .button.is-link.is-outlined.is-focused {
+          background-color: #1abc9c;
+          border-color: #1abc9c;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-link.is-outlined.is-loading::after {
+          border-color: transparent transparent #1abc9c #1abc9c !important; }
+        html.theme--documenter-dark .button.is-link.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-link.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-outlined {
+          background-color: transparent;
+          border-color: #1abc9c;
+          box-shadow: none;
+          color: #1abc9c; }
+      html.theme--documenter-dark .button.is-link.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #1abc9c; }
+        html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #1abc9c #1abc9c !important; }
+        html.theme--documenter-dark .button.is-link.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-info {
+      background-color: #024c7d;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-info:hover, html.theme--documenter-dark .button.is-info.is-hovered {
+        background-color: #024470;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-info:focus, html.theme--documenter-dark .button.is-info.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-info:focus:not(:active), html.theme--documenter-dark .button.is-info.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); }
+      html.theme--documenter-dark .button.is-info:active, html.theme--documenter-dark .button.is-info.is-active {
+        background-color: #023d64;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-info[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info {
+        background-color: #024c7d;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-info.is-inverted {
+        background-color: #fff;
+        color: #024c7d; }
+        html.theme--documenter-dark .button.is-info.is-inverted:hover, html.theme--documenter-dark .button.is-info.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-info.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #024c7d; }
+      html.theme--documenter-dark .button.is-info.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-info.is-outlined {
+        background-color: transparent;
+        border-color: #024c7d;
+        color: #024c7d; }
+        html.theme--documenter-dark .button.is-info.is-outlined:hover, html.theme--documenter-dark .button.is-info.is-outlined.is-hovered, html.theme--documenter-dark .button.is-info.is-outlined:focus, html.theme--documenter-dark .button.is-info.is-outlined.is-focused {
+          background-color: #024c7d;
+          border-color: #024c7d;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-info.is-outlined.is-loading::after {
+          border-color: transparent transparent #024c7d #024c7d !important; }
+        html.theme--documenter-dark .button.is-info.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-info.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-outlined {
+          background-color: transparent;
+          border-color: #024c7d;
+          box-shadow: none;
+          color: #024c7d; }
+      html.theme--documenter-dark .button.is-info.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #024c7d; }
+        html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #024c7d #024c7d !important; }
+        html.theme--documenter-dark .button.is-info.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-success {
+      background-color: #008438;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-success:hover, html.theme--documenter-dark .button.is-success.is-hovered {
+        background-color: #007733;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-success:focus, html.theme--documenter-dark .button.is-success.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-success:focus:not(:active), html.theme--documenter-dark .button.is-success.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); }
+      html.theme--documenter-dark .button.is-success:active, html.theme--documenter-dark .button.is-success.is-active {
+        background-color: #006b2d;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-success[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success {
+        background-color: #008438;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-success.is-inverted {
+        background-color: #fff;
+        color: #008438; }
+        html.theme--documenter-dark .button.is-success.is-inverted:hover, html.theme--documenter-dark .button.is-success.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-success.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #008438; }
+      html.theme--documenter-dark .button.is-success.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-success.is-outlined {
+        background-color: transparent;
+        border-color: #008438;
+        color: #008438; }
+        html.theme--documenter-dark .button.is-success.is-outlined:hover, html.theme--documenter-dark .button.is-success.is-outlined.is-hovered, html.theme--documenter-dark .button.is-success.is-outlined:focus, html.theme--documenter-dark .button.is-success.is-outlined.is-focused {
+          background-color: #008438;
+          border-color: #008438;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-success.is-outlined.is-loading::after {
+          border-color: transparent transparent #008438 #008438 !important; }
+        html.theme--documenter-dark .button.is-success.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-success.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-outlined {
+          background-color: transparent;
+          border-color: #008438;
+          box-shadow: none;
+          color: #008438; }
+      html.theme--documenter-dark .button.is-success.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #008438; }
+        html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #008438 #008438 !important; }
+        html.theme--documenter-dark .button.is-success.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-warning {
+      background-color: #ad8100;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-warning:hover, html.theme--documenter-dark .button.is-warning.is-hovered {
+        background-color: #a07700;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-warning:focus, html.theme--documenter-dark .button.is-warning.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-warning:focus:not(:active), html.theme--documenter-dark .button.is-warning.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); }
+      html.theme--documenter-dark .button.is-warning:active, html.theme--documenter-dark .button.is-warning.is-active {
+        background-color: #946e00;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-warning[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning {
+        background-color: #ad8100;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-warning.is-inverted {
+        background-color: #fff;
+        color: #ad8100; }
+        html.theme--documenter-dark .button.is-warning.is-inverted:hover, html.theme--documenter-dark .button.is-warning.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-warning.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #ad8100; }
+      html.theme--documenter-dark .button.is-warning.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-warning.is-outlined {
+        background-color: transparent;
+        border-color: #ad8100;
+        color: #ad8100; }
+        html.theme--documenter-dark .button.is-warning.is-outlined:hover, html.theme--documenter-dark .button.is-warning.is-outlined.is-hovered, html.theme--documenter-dark .button.is-warning.is-outlined:focus, html.theme--documenter-dark .button.is-warning.is-outlined.is-focused {
+          background-color: #ad8100;
+          border-color: #ad8100;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-warning.is-outlined.is-loading::after {
+          border-color: transparent transparent #ad8100 #ad8100 !important; }
+        html.theme--documenter-dark .button.is-warning.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-warning.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-outlined {
+          background-color: transparent;
+          border-color: #ad8100;
+          box-shadow: none;
+          color: #ad8100; }
+      html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #ad8100; }
+        html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #ad8100 #ad8100 !important; }
+        html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-danger {
+      background-color: #9e1b0d;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-danger:hover, html.theme--documenter-dark .button.is-danger.is-hovered {
+        background-color: #92190c;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-danger:focus, html.theme--documenter-dark .button.is-danger.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-danger:focus:not(:active), html.theme--documenter-dark .button.is-danger.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); }
+      html.theme--documenter-dark .button.is-danger:active, html.theme--documenter-dark .button.is-danger.is-active {
+        background-color: #86170b;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-danger[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger {
+        background-color: #9e1b0d;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-danger.is-inverted {
+        background-color: #fff;
+        color: #9e1b0d; }
+        html.theme--documenter-dark .button.is-danger.is-inverted:hover, html.theme--documenter-dark .button.is-danger.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-danger.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #9e1b0d; }
+      html.theme--documenter-dark .button.is-danger.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-danger.is-outlined {
+        background-color: transparent;
+        border-color: #9e1b0d;
+        color: #9e1b0d; }
+        html.theme--documenter-dark .button.is-danger.is-outlined:hover, html.theme--documenter-dark .button.is-danger.is-outlined.is-hovered, html.theme--documenter-dark .button.is-danger.is-outlined:focus, html.theme--documenter-dark .button.is-danger.is-outlined.is-focused {
+          background-color: #9e1b0d;
+          border-color: #9e1b0d;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-danger.is-outlined.is-loading::after {
+          border-color: transparent transparent #9e1b0d #9e1b0d !important; }
+        html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-danger.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-outlined {
+          background-color: transparent;
+          border-color: #9e1b0d;
+          box-shadow: none;
+          color: #9e1b0d; }
+      html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #9e1b0d; }
+        html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #9e1b0d #9e1b0d !important; }
+        html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.button {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .button.is-normal {
+      font-size: 15px; }
+    html.theme--documenter-dark .button.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .button.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .button[disabled], fieldset[disabled] html.theme--documenter-dark .button {
+      background-color: #8c9b9d;
+      border-color: #dbdee0;
+      box-shadow: none;
+      opacity: 0.5; }
+    html.theme--documenter-dark .button.is-fullwidth {
+      display: flex;
+      width: 100%; }
+    html.theme--documenter-dark .button.is-loading {
+      color: transparent !important;
+      pointer-events: none; }
+      html.theme--documenter-dark .button.is-loading::after {
+        position: absolute;
+        left: calc(50% - (1em / 2));
+        top: calc(50% - (1em / 2));
+        position: absolute !important; }
+    html.theme--documenter-dark .button.is-static {
+      background-color: #282f2f;
+      border-color: #5e6d6f;
+      color: #dbdee0;
+      box-shadow: none;
+      pointer-events: none; }
+    html.theme--documenter-dark .button.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.button {
+      border-radius: 290486px;
+      padding-left: 1em;
+      padding-right: 1em; }
+  html.theme--documenter-dark .buttons {
+    align-items: center;
+    display: flex;
+    flex-wrap: wrap;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .buttons .button {
+      margin-bottom: 0.5rem; }
+      html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth) {
+        margin-right: 0.5rem; }
+    html.theme--documenter-dark .buttons:last-child {
+      margin-bottom: -0.5rem; }
+    html.theme--documenter-dark .buttons:not(:last-child) {
+      margin-bottom: 1rem; }
+    html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large) {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large) {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium) {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .buttons.has-addons .button:not(:first-child) {
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    html.theme--documenter-dark .buttons.has-addons .button:not(:last-child) {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0;
+      margin-right: -1px; }
+    html.theme--documenter-dark .buttons.has-addons .button:last-child {
+      margin-right: 0; }
+    html.theme--documenter-dark .buttons.has-addons .button:hover, html.theme--documenter-dark .buttons.has-addons .button.is-hovered {
+      z-index: 2; }
+    html.theme--documenter-dark .buttons.has-addons .button:focus, html.theme--documenter-dark .buttons.has-addons .button.is-focused, html.theme--documenter-dark .buttons.has-addons .button:active, html.theme--documenter-dark .buttons.has-addons .button.is-active, html.theme--documenter-dark .buttons.has-addons .button.is-selected {
+      z-index: 3; }
+      html.theme--documenter-dark .buttons.has-addons .button:focus:hover, html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover, html.theme--documenter-dark .buttons.has-addons .button:active:hover, html.theme--documenter-dark .buttons.has-addons .button.is-active:hover, html.theme--documenter-dark .buttons.has-addons .button.is-selected:hover {
+        z-index: 4; }
+    html.theme--documenter-dark .buttons.has-addons .button.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .buttons.is-centered {
+      justify-content: center; }
+      html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth) {
+        margin-left: 0.25rem;
+        margin-right: 0.25rem; }
+    html.theme--documenter-dark .buttons.is-right {
+      justify-content: flex-end; }
+      html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth) {
+        margin-left: 0.25rem;
+        margin-right: 0.25rem; }
+  html.theme--documenter-dark .container {
+    flex-grow: 1;
+    margin: 0 auto;
+    position: relative;
+    width: auto; }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .container {
+        max-width: 992px; }
+        html.theme--documenter-dark .container.is-fluid {
+          margin-left: 32px;
+          margin-right: 32px;
+          max-width: none; } }
+    @media screen and (max-width: 1215px) {
+      html.theme--documenter-dark .container.is-widescreen {
+        max-width: 1152px; } }
+    @media screen and (max-width: 1407px) {
+      html.theme--documenter-dark .container.is-fullhd {
+        max-width: 1344px; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .container {
+        max-width: 1152px; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .container {
+        max-width: 1344px; } }
+  html.theme--documenter-dark .content li + li {
+    margin-top: 0.25em; }
+  html.theme--documenter-dark .content p:not(:last-child),
+  html.theme--documenter-dark .content dl:not(:last-child),
+  html.theme--documenter-dark .content ol:not(:last-child),
+  html.theme--documenter-dark .content ul:not(:last-child),
+  html.theme--documenter-dark .content blockquote:not(:last-child),
+  html.theme--documenter-dark .content pre:not(:last-child),
+  html.theme--documenter-dark .content table:not(:last-child) {
+    margin-bottom: 1em; }
+  html.theme--documenter-dark .content h1,
+  html.theme--documenter-dark .content h2,
+  html.theme--documenter-dark .content h3,
+  html.theme--documenter-dark .content h4,
+  html.theme--documenter-dark .content h5,
+  html.theme--documenter-dark .content h6 {
+    color: #f2f2f2;
+    font-weight: 600;
+    line-height: 1.125; }
+  html.theme--documenter-dark .content h1 {
+    font-size: 2em;
+    margin-bottom: 0.5em; }
+    html.theme--documenter-dark .content h1:not(:first-child) {
+      margin-top: 1em; }
+  html.theme--documenter-dark .content h2 {
+    font-size: 1.75em;
+    margin-bottom: 0.5714em; }
+    html.theme--documenter-dark .content h2:not(:first-child) {
+      margin-top: 1.1428em; }
+  html.theme--documenter-dark .content h3 {
+    font-size: 1.5em;
+    margin-bottom: 0.6666em; }
+    html.theme--documenter-dark .content h3:not(:first-child) {
+      margin-top: 1.3333em; }
+  html.theme--documenter-dark .content h4 {
+    font-size: 1.25em;
+    margin-bottom: 0.8em; }
+  html.theme--documenter-dark .content h5 {
+    font-size: 1.125em;
+    margin-bottom: 0.8888em; }
+  html.theme--documenter-dark .content h6 {
+    font-size: 1em;
+    margin-bottom: 1em; }
+  html.theme--documenter-dark .content blockquote {
+    background-color: #282f2f;
+    border-left: 5px solid #5e6d6f;
+    padding: 1.25em 1.5em; }
+  html.theme--documenter-dark .content ol {
+    list-style-position: outside;
+    margin-left: 2em;
+    margin-top: 1em; }
+    html.theme--documenter-dark .content ol:not([type]) {
+      list-style-type: decimal; }
+      html.theme--documenter-dark .content ol.is-lower-alpha:not([type]) {
+        list-style-type: lower-alpha; }
+      html.theme--documenter-dark .content ol.is-lower-roman:not([type]) {
+        list-style-type: lower-roman; }
+      html.theme--documenter-dark .content ol.is-upper-alpha:not([type]) {
+        list-style-type: upper-alpha; }
+      html.theme--documenter-dark .content ol.is-upper-roman:not([type]) {
+        list-style-type: upper-roman; }
+  html.theme--documenter-dark .content ul {
+    list-style: disc outside;
+    margin-left: 2em;
+    margin-top: 1em; }
+    html.theme--documenter-dark .content ul ul {
+      list-style-type: circle;
+      margin-top: 0.5em; }
+      html.theme--documenter-dark .content ul ul ul {
+        list-style-type: square; }
+  html.theme--documenter-dark .content dd {
+    margin-left: 2em; }
+  html.theme--documenter-dark .content figure {
+    margin-left: 2em;
+    margin-right: 2em;
+    text-align: center; }
+    html.theme--documenter-dark .content figure:not(:first-child) {
+      margin-top: 2em; }
+    html.theme--documenter-dark .content figure:not(:last-child) {
+      margin-bottom: 2em; }
+    html.theme--documenter-dark .content figure img {
+      display: inline-block; }
+    html.theme--documenter-dark .content figure figcaption {
+      font-style: italic; }
+  html.theme--documenter-dark .content pre {
+    -webkit-overflow-scrolling: touch;
+    overflow-x: auto;
+    padding: 0;
+    white-space: pre;
+    word-wrap: normal; }
+  html.theme--documenter-dark .content sup,
+  html.theme--documenter-dark .content sub {
+    font-size: 75%; }
+  html.theme--documenter-dark .content table {
+    width: 100%; }
+    html.theme--documenter-dark .content table td,
+    html.theme--documenter-dark .content table th {
+      border: 1px solid #5e6d6f;
+      border-width: 0 0 1px;
+      padding: 0.5em 0.75em;
+      vertical-align: top; }
+    html.theme--documenter-dark .content table th {
+      color: #f2f2f2; }
+      html.theme--documenter-dark .content table th:not([align]) {
+        text-align: left; }
+    html.theme--documenter-dark .content table thead td,
+    html.theme--documenter-dark .content table thead th {
+      border-width: 0 0 2px;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .content table tfoot td,
+    html.theme--documenter-dark .content table tfoot th {
+      border-width: 2px 0 0;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .content table tbody tr:last-child td,
+    html.theme--documenter-dark .content table tbody tr:last-child th {
+      border-bottom-width: 0; }
+  html.theme--documenter-dark .content .tabs li + li {
+    margin-top: 0; }
+  html.theme--documenter-dark .content.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.content {
+    font-size: 0.85em; }
+  html.theme--documenter-dark .content.is-medium {
+    font-size: 1.25rem; }
+  html.theme--documenter-dark .content.is-large {
+    font-size: 1.5rem; }
+  html.theme--documenter-dark .icon {
+    align-items: center;
+    display: inline-flex;
+    justify-content: center;
+    height: 1.5rem;
+    width: 1.5rem; }
+    html.theme--documenter-dark .icon.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.icon {
+      height: 1rem;
+      width: 1rem; }
+    html.theme--documenter-dark .icon.is-medium {
+      height: 2rem;
+      width: 2rem; }
+    html.theme--documenter-dark .icon.is-large {
+      height: 3rem;
+      width: 3rem; }
+  html.theme--documenter-dark .image, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img {
+    display: block;
+    position: relative; }
+    html.theme--documenter-dark .image img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img img {
+      display: block;
+      height: auto;
+      width: 100%; }
+      html.theme--documenter-dark .image img.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img img.is-rounded {
+        border-radius: 290486px; }
+    html.theme--documenter-dark .image.is-square img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square img,
+    html.theme--documenter-dark .image.is-square .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, html.theme--documenter-dark .image.is-1by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+    html.theme--documenter-dark .image.is-1by1 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, html.theme--documenter-dark .image.is-5by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+    html.theme--documenter-dark .image.is-5by4 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, html.theme--documenter-dark .image.is-4by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+    html.theme--documenter-dark .image.is-4by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, html.theme--documenter-dark .image.is-3by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+    html.theme--documenter-dark .image.is-3by2 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, html.theme--documenter-dark .image.is-5by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+    html.theme--documenter-dark .image.is-5by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, html.theme--documenter-dark .image.is-16by9 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+    html.theme--documenter-dark .image.is-16by9 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, html.theme--documenter-dark .image.is-2by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+    html.theme--documenter-dark .image.is-2by1 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, html.theme--documenter-dark .image.is-3by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+    html.theme--documenter-dark .image.is-3by1 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, html.theme--documenter-dark .image.is-4by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+    html.theme--documenter-dark .image.is-4by5 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, html.theme--documenter-dark .image.is-3by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+    html.theme--documenter-dark .image.is-3by4 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, html.theme--documenter-dark .image.is-2by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+    html.theme--documenter-dark .image.is-2by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, html.theme--documenter-dark .image.is-3by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+    html.theme--documenter-dark .image.is-3by5 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, html.theme--documenter-dark .image.is-9by16 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+    html.theme--documenter-dark .image.is-9by16 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, html.theme--documenter-dark .image.is-1by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+    html.theme--documenter-dark .image.is-1by2 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, html.theme--documenter-dark .image.is-1by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+    html.theme--documenter-dark .image.is-1by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio {
+      height: 100%;
+      width: 100%; }
+    html.theme--documenter-dark .image.is-square, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square, html.theme--documenter-dark .image.is-1by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 {
+      padding-top: 100%; }
+    html.theme--documenter-dark .image.is-5by4, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 {
+      padding-top: 80%; }
+    html.theme--documenter-dark .image.is-4by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 {
+      padding-top: 75%; }
+    html.theme--documenter-dark .image.is-3by2, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 {
+      padding-top: 66.6666%; }
+    html.theme--documenter-dark .image.is-5by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 {
+      padding-top: 60%; }
+    html.theme--documenter-dark .image.is-16by9, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 {
+      padding-top: 56.25%; }
+    html.theme--documenter-dark .image.is-2by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 {
+      padding-top: 50%; }
+    html.theme--documenter-dark .image.is-3by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 {
+      padding-top: 33.3333%; }
+    html.theme--documenter-dark .image.is-4by5, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 {
+      padding-top: 125%; }
+    html.theme--documenter-dark .image.is-3by4, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 {
+      padding-top: 133.3333%; }
+    html.theme--documenter-dark .image.is-2by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 {
+      padding-top: 150%; }
+    html.theme--documenter-dark .image.is-3by5, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 {
+      padding-top: 166.6666%; }
+    html.theme--documenter-dark .image.is-9by16, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 {
+      padding-top: 177.7777%; }
+    html.theme--documenter-dark .image.is-1by2, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 {
+      padding-top: 200%; }
+    html.theme--documenter-dark .image.is-1by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 {
+      padding-top: 300%; }
+    html.theme--documenter-dark .image.is-16x16, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16x16 {
+      height: 16px;
+      width: 16px; }
+    html.theme--documenter-dark .image.is-24x24, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-24x24 {
+      height: 24px;
+      width: 24px; }
+    html.theme--documenter-dark .image.is-32x32, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-32x32 {
+      height: 32px;
+      width: 32px; }
+    html.theme--documenter-dark .image.is-48x48, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-48x48 {
+      height: 48px;
+      width: 48px; }
+    html.theme--documenter-dark .image.is-64x64, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-64x64 {
+      height: 64px;
+      width: 64px; }
+    html.theme--documenter-dark .image.is-96x96, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-96x96 {
+      height: 96px;
+      width: 96px; }
+    html.theme--documenter-dark .image.is-128x128, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-128x128 {
+      height: 128px;
+      width: 128px; }
+  html.theme--documenter-dark .notification {
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    padding: 1.25rem 2.5rem 1.25rem 1.5rem;
+    position: relative; }
+    html.theme--documenter-dark .notification a:not(.button):not(.dropdown-item) {
+      color: currentColor;
+      text-decoration: underline; }
+    html.theme--documenter-dark .notification strong {
+      color: currentColor; }
+    html.theme--documenter-dark .notification code,
+    html.theme--documenter-dark .notification pre {
+      background: white; }
+    html.theme--documenter-dark .notification pre code {
+      background: transparent; }
+    html.theme--documenter-dark .notification > .delete {
+      position: absolute;
+      right: 0.5rem;
+      top: 0.5rem; }
+    html.theme--documenter-dark .notification .title,
+    html.theme--documenter-dark .notification .subtitle,
+    html.theme--documenter-dark .notification .content {
+      color: currentColor; }
+    html.theme--documenter-dark .notification.is-white {
+      background-color: white;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .notification.is-black {
+      background-color: #0a0a0a;
+      color: white; }
+    html.theme--documenter-dark .notification.is-light {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+    html.theme--documenter-dark .notification.is-dark, html.theme--documenter-dark .content kbd.notification {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .notification.is-primary, html.theme--documenter-dark .docstring > section > a.notification.docs-sourcelink {
+      background-color: #375a7f;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-link {
+      background-color: #1abc9c;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-info {
+      background-color: #024c7d;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-success {
+      background-color: #008438;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-warning {
+      background-color: #ad8100;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-danger {
+      background-color: #9e1b0d;
+      color: #fff; }
+  html.theme--documenter-dark .progress {
+    -moz-appearance: none;
+    -webkit-appearance: none;
+    border: none;
+    border-radius: 290486px;
+    display: block;
+    height: 15px;
+    overflow: hidden;
+    padding: 0;
+    width: 100%; }
+    html.theme--documenter-dark .progress::-webkit-progress-bar {
+      background-color: #5e6d6f; }
+    html.theme--documenter-dark .progress::-webkit-progress-value {
+      background-color: #dbdee0; }
+    html.theme--documenter-dark .progress::-moz-progress-bar {
+      background-color: #dbdee0; }
+    html.theme--documenter-dark .progress::-ms-fill {
+      background-color: #dbdee0;
+      border: none; }
+    html.theme--documenter-dark .progress.is-white::-webkit-progress-value {
+      background-color: white; }
+    html.theme--documenter-dark .progress.is-white::-moz-progress-bar {
+      background-color: white; }
+    html.theme--documenter-dark .progress.is-white::-ms-fill {
+      background-color: white; }
+    html.theme--documenter-dark .progress.is-white:indeterminate {
+      background-image: linear-gradient(to right, white 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-black::-webkit-progress-value {
+      background-color: #0a0a0a; }
+    html.theme--documenter-dark .progress.is-black::-moz-progress-bar {
+      background-color: #0a0a0a; }
+    html.theme--documenter-dark .progress.is-black::-ms-fill {
+      background-color: #0a0a0a; }
+    html.theme--documenter-dark .progress.is-black:indeterminate {
+      background-image: linear-gradient(to right, #0a0a0a 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-light::-webkit-progress-value {
+      background-color: #ecf0f1; }
+    html.theme--documenter-dark .progress.is-light::-moz-progress-bar {
+      background-color: #ecf0f1; }
+    html.theme--documenter-dark .progress.is-light::-ms-fill {
+      background-color: #ecf0f1; }
+    html.theme--documenter-dark .progress.is-light:indeterminate {
+      background-image: linear-gradient(to right, #ecf0f1 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-dark::-webkit-progress-value, html.theme--documenter-dark .content kbd.progress::-webkit-progress-value {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .progress.is-dark::-moz-progress-bar, html.theme--documenter-dark .content kbd.progress::-moz-progress-bar {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .progress.is-dark::-ms-fill, html.theme--documenter-dark .content kbd.progress::-ms-fill {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .progress.is-dark:indeterminate, html.theme--documenter-dark .content kbd.progress:indeterminate {
+      background-image: linear-gradient(to right, #282f2f 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-primary::-webkit-progress-value, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-webkit-progress-value {
+      background-color: #375a7f; }
+    html.theme--documenter-dark .progress.is-primary::-moz-progress-bar, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-moz-progress-bar {
+      background-color: #375a7f; }
+    html.theme--documenter-dark .progress.is-primary::-ms-fill, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-ms-fill {
+      background-color: #375a7f; }
+    html.theme--documenter-dark .progress.is-primary:indeterminate, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink:indeterminate {
+      background-image: linear-gradient(to right, #375a7f 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-link::-webkit-progress-value {
+      background-color: #1abc9c; }
+    html.theme--documenter-dark .progress.is-link::-moz-progress-bar {
+      background-color: #1abc9c; }
+    html.theme--documenter-dark .progress.is-link::-ms-fill {
+      background-color: #1abc9c; }
+    html.theme--documenter-dark .progress.is-link:indeterminate {
+      background-image: linear-gradient(to right, #1abc9c 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-info::-webkit-progress-value {
+      background-color: #024c7d; }
+    html.theme--documenter-dark .progress.is-info::-moz-progress-bar {
+      background-color: #024c7d; }
+    html.theme--documenter-dark .progress.is-info::-ms-fill {
+      background-color: #024c7d; }
+    html.theme--documenter-dark .progress.is-info:indeterminate {
+      background-image: linear-gradient(to right, #024c7d 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-success::-webkit-progress-value {
+      background-color: #008438; }
+    html.theme--documenter-dark .progress.is-success::-moz-progress-bar {
+      background-color: #008438; }
+    html.theme--documenter-dark .progress.is-success::-ms-fill {
+      background-color: #008438; }
+    html.theme--documenter-dark .progress.is-success:indeterminate {
+      background-image: linear-gradient(to right, #008438 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-warning::-webkit-progress-value {
+      background-color: #ad8100; }
+    html.theme--documenter-dark .progress.is-warning::-moz-progress-bar {
+      background-color: #ad8100; }
+    html.theme--documenter-dark .progress.is-warning::-ms-fill {
+      background-color: #ad8100; }
+    html.theme--documenter-dark .progress.is-warning:indeterminate {
+      background-image: linear-gradient(to right, #ad8100 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-danger::-webkit-progress-value {
+      background-color: #9e1b0d; }
+    html.theme--documenter-dark .progress.is-danger::-moz-progress-bar {
+      background-color: #9e1b0d; }
+    html.theme--documenter-dark .progress.is-danger::-ms-fill {
+      background-color: #9e1b0d; }
+    html.theme--documenter-dark .progress.is-danger:indeterminate {
+      background-image: linear-gradient(to right, #9e1b0d 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress:indeterminate {
+      animation-duration: 1.5s;
+      animation-iteration-count: infinite;
+      animation-name: moveIndeterminate;
+      animation-timing-function: linear;
+      background-color: #5e6d6f;
+      background-image: linear-gradient(to right, #fff 30%, #5e6d6f 30%);
+      background-position: top left;
+      background-repeat: no-repeat;
+      background-size: 150% 150%; }
+      html.theme--documenter-dark .progress:indeterminate::-webkit-progress-bar {
+        background-color: transparent; }
+      html.theme--documenter-dark .progress:indeterminate::-moz-progress-bar {
+        background-color: transparent; }
+    html.theme--documenter-dark .progress.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.progress {
+      height: 0.85em; }
+    html.theme--documenter-dark .progress.is-medium {
+      height: 1.25rem; }
+    html.theme--documenter-dark .progress.is-large {
+      height: 1.5rem; }
+
+@keyframes moveIndeterminate {
+  from {
+    background-position: 200% 0; }
+  to {
+    background-position: -200% 0; } }
+  html.theme--documenter-dark .table {
+    background-color: #343c3d;
+    color: #fff; }
+    html.theme--documenter-dark .table td,
+    html.theme--documenter-dark .table th {
+      border: 1px solid #5e6d6f;
+      border-width: 0 0 1px;
+      padding: 0.5em 0.75em;
+      vertical-align: top; }
+      html.theme--documenter-dark .table td.is-white,
+      html.theme--documenter-dark .table th.is-white {
+        background-color: white;
+        border-color: white;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .table td.is-black,
+      html.theme--documenter-dark .table th.is-black {
+        background-color: #0a0a0a;
+        border-color: #0a0a0a;
+        color: white; }
+      html.theme--documenter-dark .table td.is-light,
+      html.theme--documenter-dark .table th.is-light {
+        background-color: #ecf0f1;
+        border-color: #ecf0f1;
+        color: #282f2f; }
+      html.theme--documenter-dark .table td.is-dark,
+      html.theme--documenter-dark .table th.is-dark {
+        background-color: #282f2f;
+        border-color: #282f2f;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .table td.is-primary,
+      html.theme--documenter-dark .table th.is-primary {
+        background-color: #375a7f;
+        border-color: #375a7f;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-link,
+      html.theme--documenter-dark .table th.is-link {
+        background-color: #1abc9c;
+        border-color: #1abc9c;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-info,
+      html.theme--documenter-dark .table th.is-info {
+        background-color: #024c7d;
+        border-color: #024c7d;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-success,
+      html.theme--documenter-dark .table th.is-success {
+        background-color: #008438;
+        border-color: #008438;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-warning,
+      html.theme--documenter-dark .table th.is-warning {
+        background-color: #ad8100;
+        border-color: #ad8100;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-danger,
+      html.theme--documenter-dark .table th.is-danger {
+        background-color: #9e1b0d;
+        border-color: #9e1b0d;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-narrow,
+      html.theme--documenter-dark .table th.is-narrow {
+        white-space: nowrap;
+        width: 1%; }
+      html.theme--documenter-dark .table td.is-selected,
+      html.theme--documenter-dark .table th.is-selected {
+        background-color: #375a7f;
+        color: #fff; }
+        html.theme--documenter-dark .table td.is-selected a,
+        html.theme--documenter-dark .table td.is-selected strong,
+        html.theme--documenter-dark .table th.is-selected a,
+        html.theme--documenter-dark .table th.is-selected strong {
+          color: currentColor; }
+    html.theme--documenter-dark .table th {
+      color: #f2f2f2; }
+      html.theme--documenter-dark .table th:not([align]) {
+        text-align: left; }
+    html.theme--documenter-dark .table tr.is-selected {
+      background-color: #375a7f;
+      color: #fff; }
+      html.theme--documenter-dark .table tr.is-selected a,
+      html.theme--documenter-dark .table tr.is-selected strong {
+        color: currentColor; }
+      html.theme--documenter-dark .table tr.is-selected td,
+      html.theme--documenter-dark .table tr.is-selected th {
+        border-color: #fff;
+        color: currentColor; }
+    html.theme--documenter-dark .table thead {
+      background-color: transparent; }
+      html.theme--documenter-dark .table thead td,
+      html.theme--documenter-dark .table thead th {
+        border-width: 0 0 2px;
+        color: #f2f2f2; }
+    html.theme--documenter-dark .table tfoot {
+      background-color: transparent; }
+      html.theme--documenter-dark .table tfoot td,
+      html.theme--documenter-dark .table tfoot th {
+        border-width: 2px 0 0;
+        color: #f2f2f2; }
+    html.theme--documenter-dark .table tbody {
+      background-color: transparent; }
+      html.theme--documenter-dark .table tbody tr:last-child td,
+      html.theme--documenter-dark .table tbody tr:last-child th {
+        border-bottom-width: 0; }
+    html.theme--documenter-dark .table.is-bordered td,
+    html.theme--documenter-dark .table.is-bordered th {
+      border-width: 1px; }
+    html.theme--documenter-dark .table.is-bordered tr:last-child td,
+    html.theme--documenter-dark .table.is-bordered tr:last-child th {
+      border-bottom-width: 1px; }
+    html.theme--documenter-dark .table.is-fullwidth {
+      width: 100%; }
+    html.theme--documenter-dark .table.is-hoverable tbody tr:not(.is-selected):hover {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover {
+      background-color: #282f2f; }
+      html.theme--documenter-dark .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover:nth-child(even) {
+        background-color: #2d3435; }
+    html.theme--documenter-dark .table.is-narrow td,
+    html.theme--documenter-dark .table.is-narrow th {
+      padding: 0.25em 0.5em; }
+    html.theme--documenter-dark .table.is-striped tbody tr:not(.is-selected):nth-child(even) {
+      background-color: #282f2f; }
+  html.theme--documenter-dark .table-container {
+    -webkit-overflow-scrolling: touch;
+    overflow: auto;
+    overflow-y: hidden;
+    max-width: 100%; }
+  html.theme--documenter-dark .tags {
+    align-items: center;
+    display: flex;
+    flex-wrap: wrap;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .tags .tag, html.theme--documenter-dark .tags .content kbd, html.theme--documenter-dark .content .tags kbd, html.theme--documenter-dark .tags .docstring > section > a.docs-sourcelink {
+      margin-bottom: 0.5rem; }
+      html.theme--documenter-dark .tags .tag:not(:last-child), html.theme--documenter-dark .tags .content kbd:not(:last-child), html.theme--documenter-dark .content .tags kbd:not(:last-child), html.theme--documenter-dark .tags .docstring > section > a.docs-sourcelink:not(:last-child) {
+        margin-right: 0.5rem; }
+    html.theme--documenter-dark .tags:last-child {
+      margin-bottom: -0.5rem; }
+    html.theme--documenter-dark .tags:not(:last-child) {
+      margin-bottom: 1rem; }
+    html.theme--documenter-dark .tags.are-medium .tag:not(.is-normal):not(.is-large), html.theme--documenter-dark .tags.are-medium .content kbd:not(.is-normal):not(.is-large), html.theme--documenter-dark .content .tags.are-medium kbd:not(.is-normal):not(.is-large), html.theme--documenter-dark .tags.are-medium .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-large) {
+      font-size: 15px; }
+    html.theme--documenter-dark .tags.are-large .tag:not(.is-normal):not(.is-medium), html.theme--documenter-dark .tags.are-large .content kbd:not(.is-normal):not(.is-medium), html.theme--documenter-dark .content .tags.are-large kbd:not(.is-normal):not(.is-medium), html.theme--documenter-dark .tags.are-large .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-medium) {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .tags.is-centered {
+      justify-content: center; }
+      html.theme--documenter-dark .tags.is-centered .tag, html.theme--documenter-dark .tags.is-centered .content kbd, html.theme--documenter-dark .content .tags.is-centered kbd, html.theme--documenter-dark .tags.is-centered .docstring > section > a.docs-sourcelink {
+        margin-right: 0.25rem;
+        margin-left: 0.25rem; }
+    html.theme--documenter-dark .tags.is-right {
+      justify-content: flex-end; }
+      html.theme--documenter-dark .tags.is-right .tag:not(:first-child), html.theme--documenter-dark .tags.is-right .content kbd:not(:first-child), html.theme--documenter-dark .content .tags.is-right kbd:not(:first-child), html.theme--documenter-dark .tags.is-right .docstring > section > a.docs-sourcelink:not(:first-child) {
+        margin-left: 0.5rem; }
+      html.theme--documenter-dark .tags.is-right .tag:not(:last-child), html.theme--documenter-dark .tags.is-right .content kbd:not(:last-child), html.theme--documenter-dark .content .tags.is-right kbd:not(:last-child), html.theme--documenter-dark .tags.is-right .docstring > section > a.docs-sourcelink:not(:last-child) {
+        margin-right: 0; }
+    html.theme--documenter-dark .tags.has-addons .tag, html.theme--documenter-dark .tags.has-addons .content kbd, html.theme--documenter-dark .content .tags.has-addons kbd, html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink {
+      margin-right: 0; }
+      html.theme--documenter-dark .tags.has-addons .tag:not(:first-child), html.theme--documenter-dark .tags.has-addons .content kbd:not(:first-child), html.theme--documenter-dark .content .tags.has-addons kbd:not(:first-child), html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink:not(:first-child) {
+        margin-left: 0;
+        border-bottom-left-radius: 0;
+        border-top-left-radius: 0; }
+      html.theme--documenter-dark .tags.has-addons .tag:not(:last-child), html.theme--documenter-dark .tags.has-addons .content kbd:not(:last-child), html.theme--documenter-dark .content .tags.has-addons kbd:not(:last-child), html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink:not(:last-child) {
+        border-bottom-right-radius: 0;
+        border-top-right-radius: 0; }
+  html.theme--documenter-dark .tag:not(body), html.theme--documenter-dark .content kbd:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) {
+    align-items: center;
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    color: #fff;
+    display: inline-flex;
+    font-size: 0.85em;
+    height: 2em;
+    justify-content: center;
+    line-height: 1.5;
+    padding-left: 0.75em;
+    padding-right: 0.75em;
+    white-space: nowrap; }
+    html.theme--documenter-dark .tag:not(body) .delete, html.theme--documenter-dark .content kbd:not(body) .delete, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .delete {
+      margin-left: 0.25rem;
+      margin-right: -0.375rem; }
+    html.theme--documenter-dark .tag.is-white:not(body), html.theme--documenter-dark .content kbd.is-white:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-white:not(body) {
+      background-color: white;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .tag.is-black:not(body), html.theme--documenter-dark .content kbd.is-black:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-black:not(body) {
+      background-color: #0a0a0a;
+      color: white; }
+    html.theme--documenter-dark .tag.is-light:not(body), html.theme--documenter-dark .content kbd.is-light:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-light:not(body) {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+    html.theme--documenter-dark .tag.is-dark:not(body), html.theme--documenter-dark .content kbd:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-dark:not(body), html.theme--documenter-dark .content .docstring > section > kbd:not(body) {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .tag.is-primary:not(body), html.theme--documenter-dark .content kbd.is-primary:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) {
+      background-color: #375a7f;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-link:not(body), html.theme--documenter-dark .content kbd.is-link:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-link:not(body) {
+      background-color: #1abc9c;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-info:not(body), html.theme--documenter-dark .content kbd.is-info:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-info:not(body) {
+      background-color: #024c7d;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-success:not(body), html.theme--documenter-dark .content kbd.is-success:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-success:not(body) {
+      background-color: #008438;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-warning:not(body), html.theme--documenter-dark .content kbd.is-warning:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-warning:not(body) {
+      background-color: #ad8100;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-danger:not(body), html.theme--documenter-dark .content kbd.is-danger:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-danger:not(body) {
+      background-color: #9e1b0d;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-normal:not(body), html.theme--documenter-dark .content kbd.is-normal:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-normal:not(body) {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .tag.is-medium:not(body), html.theme--documenter-dark .content kbd.is-medium:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-medium:not(body) {
+      font-size: 15px; }
+    html.theme--documenter-dark .tag.is-large:not(body), html.theme--documenter-dark .content kbd.is-large:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-large:not(body) {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .tag:not(body) .icon:first-child:not(:last-child), html.theme--documenter-dark .content kbd:not(body) .icon:first-child:not(:last-child), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:not(:last-child) {
+      margin-left: -0.375em;
+      margin-right: 0.1875em; }
+    html.theme--documenter-dark .tag:not(body) .icon:last-child:not(:first-child), html.theme--documenter-dark .content kbd:not(body) .icon:last-child:not(:first-child), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:last-child:not(:first-child) {
+      margin-left: 0.1875em;
+      margin-right: -0.375em; }
+    html.theme--documenter-dark .tag:not(body) .icon:first-child:last-child, html.theme--documenter-dark .content kbd:not(body) .icon:first-child:last-child, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:last-child {
+      margin-left: -0.375em;
+      margin-right: -0.375em; }
+    html.theme--documenter-dark .tag.is-delete:not(body), html.theme--documenter-dark .content kbd.is-delete:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body) {
+      margin-left: 1px;
+      padding: 0;
+      position: relative;
+      width: 2em; }
+      html.theme--documenter-dark .tag.is-delete:not(body)::before, html.theme--documenter-dark .content kbd.is-delete:not(body)::before, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::before, html.theme--documenter-dark .tag.is-delete:not(body)::after, html.theme--documenter-dark .content kbd.is-delete:not(body)::after, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+        background-color: currentColor;
+        content: "";
+        display: block;
+        left: 50%;
+        position: absolute;
+        top: 50%;
+        transform: translateX(-50%) translateY(-50%) rotate(45deg);
+        transform-origin: center center; }
+      html.theme--documenter-dark .tag.is-delete:not(body)::before, html.theme--documenter-dark .content kbd.is-delete:not(body)::before, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::before {
+        height: 1px;
+        width: 50%; }
+      html.theme--documenter-dark .tag.is-delete:not(body)::after, html.theme--documenter-dark .content kbd.is-delete:not(body)::after, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+        height: 50%;
+        width: 1px; }
+      html.theme--documenter-dark .tag.is-delete:not(body):hover, html.theme--documenter-dark .content kbd.is-delete:not(body):hover, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):hover, html.theme--documenter-dark .tag.is-delete:not(body):focus, html.theme--documenter-dark .content kbd.is-delete:not(body):focus, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):focus {
+        background-color: #1d2122; }
+      html.theme--documenter-dark .tag.is-delete:not(body):active, html.theme--documenter-dark .content kbd.is-delete:not(body):active, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):active {
+        background-color: #111414; }
+    html.theme--documenter-dark .tag.is-rounded:not(body), html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:not(body), html.theme--documenter-dark .content kbd.is-rounded:not(body), html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-rounded:not(body) {
+      border-radius: 290486px; }
+  html.theme--documenter-dark a.tag:hover, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:hover {
+    text-decoration: underline; }
+  html.theme--documenter-dark .title,
+  html.theme--documenter-dark .subtitle {
+    word-break: break-word; }
+    html.theme--documenter-dark .title em,
+    html.theme--documenter-dark .title span,
+    html.theme--documenter-dark .subtitle em,
+    html.theme--documenter-dark .subtitle span {
+      font-weight: inherit; }
+    html.theme--documenter-dark .title sub,
+    html.theme--documenter-dark .subtitle sub {
+      font-size: 0.75em; }
+    html.theme--documenter-dark .title sup,
+    html.theme--documenter-dark .subtitle sup {
+      font-size: 0.75em; }
+    html.theme--documenter-dark .title .tag, html.theme--documenter-dark .title .content kbd, html.theme--documenter-dark .content .title kbd, html.theme--documenter-dark .title .docstring > section > a.docs-sourcelink,
+    html.theme--documenter-dark .subtitle .tag,
+    html.theme--documenter-dark .subtitle .content kbd,
+    html.theme--documenter-dark .content .subtitle kbd,
+    html.theme--documenter-dark .subtitle .docstring > section > a.docs-sourcelink {
+      vertical-align: middle; }
+  html.theme--documenter-dark .title {
+    color: #fff;
+    font-size: 2rem;
+    font-weight: 500;
+    line-height: 1.125; }
+    html.theme--documenter-dark .title strong {
+      color: inherit;
+      font-weight: inherit; }
+    html.theme--documenter-dark .title + .highlight {
+      margin-top: -0.75rem; }
+    html.theme--documenter-dark .title:not(.is-spaced) + .subtitle {
+      margin-top: -1.25rem; }
+    html.theme--documenter-dark .title.is-1 {
+      font-size: 3rem; }
+    html.theme--documenter-dark .title.is-2 {
+      font-size: 2.5rem; }
+    html.theme--documenter-dark .title.is-3 {
+      font-size: 2rem; }
+    html.theme--documenter-dark .title.is-4 {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .title.is-5 {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .title.is-6 {
+      font-size: 15px; }
+    html.theme--documenter-dark .title.is-7 {
+      font-size: 0.85em; }
+  html.theme--documenter-dark .subtitle {
+    color: #8c9b9d;
+    font-size: 1.25rem;
+    font-weight: 400;
+    line-height: 1.25; }
+    html.theme--documenter-dark .subtitle strong {
+      color: #8c9b9d;
+      font-weight: 600; }
+    html.theme--documenter-dark .subtitle:not(.is-spaced) + .title {
+      margin-top: -1.25rem; }
+    html.theme--documenter-dark .subtitle.is-1 {
+      font-size: 3rem; }
+    html.theme--documenter-dark .subtitle.is-2 {
+      font-size: 2.5rem; }
+    html.theme--documenter-dark .subtitle.is-3 {
+      font-size: 2rem; }
+    html.theme--documenter-dark .subtitle.is-4 {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .subtitle.is-5 {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .subtitle.is-6 {
+      font-size: 15px; }
+    html.theme--documenter-dark .subtitle.is-7 {
+      font-size: 0.85em; }
+  html.theme--documenter-dark .heading {
+    display: block;
+    font-size: 11px;
+    letter-spacing: 1px;
+    margin-bottom: 5px;
+    text-transform: uppercase; }
+  html.theme--documenter-dark .highlight {
+    font-weight: 400;
+    max-width: 100%;
+    overflow: hidden;
+    padding: 0; }
+    html.theme--documenter-dark .highlight pre {
+      overflow: auto;
+      max-width: 100%; }
+  html.theme--documenter-dark .number {
+    align-items: center;
+    background-color: #282f2f;
+    border-radius: 290486px;
+    display: inline-flex;
+    font-size: 1.25rem;
+    height: 2em;
+    justify-content: center;
+    margin-right: 1.5rem;
+    min-width: 2.5em;
+    padding: 0.25rem 0.5rem;
+    text-align: center;
+    vertical-align: top; }
+  html.theme--documenter-dark .select select, html.theme--documenter-dark .textarea, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+    background-color: #1f2424;
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    color: #dbdee0; }
+    html.theme--documenter-dark .select select::-moz-placeholder, html.theme--documenter-dark .textarea::-moz-placeholder, html.theme--documenter-dark .input::-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-moz-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select::-webkit-input-placeholder, html.theme--documenter-dark .textarea::-webkit-input-placeholder, html.theme--documenter-dark .input::-webkit-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select:-moz-placeholder, html.theme--documenter-dark .textarea:-moz-placeholder, html.theme--documenter-dark .input:-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-moz-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select:-ms-input-placeholder, html.theme--documenter-dark .textarea:-ms-input-placeholder, html.theme--documenter-dark .input:-ms-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select:hover, html.theme--documenter-dark .textarea:hover, html.theme--documenter-dark .input:hover, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:hover, html.theme--documenter-dark .select select.is-hovered, html.theme--documenter-dark .is-hovered.textarea, html.theme--documenter-dark .is-hovered.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-hovered {
+      border-color: #8c9b9d; }
+    html.theme--documenter-dark .select select:focus, html.theme--documenter-dark .textarea:focus, html.theme--documenter-dark .input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:focus, html.theme--documenter-dark .select select.is-focused, html.theme--documenter-dark .is-focused.textarea, html.theme--documenter-dark .is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .select select:active, html.theme--documenter-dark .textarea:active, html.theme--documenter-dark .input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:active, html.theme--documenter-dark .select select.is-active, html.theme--documenter-dark .is-active.textarea, html.theme--documenter-dark .is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+      border-color: #1abc9c;
+      box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .select select[disabled], html.theme--documenter-dark .textarea[disabled], html.theme--documenter-dark .input[disabled], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled], fieldset[disabled] html.theme--documenter-dark .select select, fieldset[disabled] html.theme--documenter-dark .textarea, fieldset[disabled] html.theme--documenter-dark .input, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+      background-color: #8c9b9d;
+      border-color: #282f2f;
+      box-shadow: none;
+      color: white; }
+      html.theme--documenter-dark .select select[disabled]::-moz-placeholder, html.theme--documenter-dark .textarea[disabled]::-moz-placeholder, html.theme--documenter-dark .input[disabled]::-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .select select::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .input::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-moz-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+      html.theme--documenter-dark .select select[disabled]::-webkit-input-placeholder, html.theme--documenter-dark .textarea[disabled]::-webkit-input-placeholder, html.theme--documenter-dark .input[disabled]::-webkit-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .select select::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .input::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+      html.theme--documenter-dark .select select[disabled]:-moz-placeholder, html.theme--documenter-dark .textarea[disabled]:-moz-placeholder, html.theme--documenter-dark .input[disabled]:-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .select select:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .input:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-moz-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+      html.theme--documenter-dark .select select[disabled]:-ms-input-placeholder, html.theme--documenter-dark .textarea[disabled]:-ms-input-placeholder, html.theme--documenter-dark .input[disabled]:-ms-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .select select:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .input:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+  html.theme--documenter-dark .textarea, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+    box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.1);
+    max-width: 100%;
+    width: 100%; }
+    html.theme--documenter-dark .textarea[readonly], html.theme--documenter-dark .input[readonly], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[readonly] {
+      box-shadow: none; }
+    html.theme--documenter-dark .is-white.textarea, html.theme--documenter-dark .is-white.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white {
+      border-color: white; }
+      html.theme--documenter-dark .is-white.textarea:focus, html.theme--documenter-dark .is-white.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white:focus, html.theme--documenter-dark .is-white.is-focused.textarea, html.theme--documenter-dark .is-white.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-white.textarea:active, html.theme--documenter-dark .is-white.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white:active, html.theme--documenter-dark .is-white.is-active.textarea, html.theme--documenter-dark .is-white.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+    html.theme--documenter-dark .is-black.textarea, html.theme--documenter-dark .is-black.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black {
+      border-color: #0a0a0a; }
+      html.theme--documenter-dark .is-black.textarea:focus, html.theme--documenter-dark .is-black.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black:focus, html.theme--documenter-dark .is-black.is-focused.textarea, html.theme--documenter-dark .is-black.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-black.textarea:active, html.theme--documenter-dark .is-black.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black:active, html.theme--documenter-dark .is-black.is-active.textarea, html.theme--documenter-dark .is-black.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+    html.theme--documenter-dark .is-light.textarea, html.theme--documenter-dark .is-light.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light {
+      border-color: #ecf0f1; }
+      html.theme--documenter-dark .is-light.textarea:focus, html.theme--documenter-dark .is-light.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light:focus, html.theme--documenter-dark .is-light.is-focused.textarea, html.theme--documenter-dark .is-light.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-light.textarea:active, html.theme--documenter-dark .is-light.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light:active, html.theme--documenter-dark .is-light.is-active.textarea, html.theme--documenter-dark .is-light.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); }
+    html.theme--documenter-dark .is-dark.textarea, html.theme--documenter-dark .content kbd.textarea, html.theme--documenter-dark .is-dark.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark, html.theme--documenter-dark .content kbd.input {
+      border-color: #282f2f; }
+      html.theme--documenter-dark .is-dark.textarea:focus, html.theme--documenter-dark .content kbd.textarea:focus, html.theme--documenter-dark .is-dark.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark:focus, html.theme--documenter-dark .content kbd.input:focus, html.theme--documenter-dark .is-dark.is-focused.textarea, html.theme--documenter-dark .content kbd.is-focused.textarea, html.theme--documenter-dark .is-dark.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .content kbd.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input.is-focused, html.theme--documenter-dark .is-dark.textarea:active, html.theme--documenter-dark .content kbd.textarea:active, html.theme--documenter-dark .is-dark.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark:active, html.theme--documenter-dark .content kbd.input:active, html.theme--documenter-dark .is-dark.is-active.textarea, html.theme--documenter-dark .content kbd.is-active.textarea, html.theme--documenter-dark .is-dark.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .content kbd.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); }
+    html.theme--documenter-dark .is-primary.textarea, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink {
+      border-color: #375a7f; }
+      html.theme--documenter-dark .is-primary.textarea:focus, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink:focus, html.theme--documenter-dark .is-primary.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary:focus, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink:focus, html.theme--documenter-dark .is-primary.is-focused.textarea, html.theme--documenter-dark .docstring > section > a.is-focused.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .docstring > section > a.is-focused.input.docs-sourcelink, html.theme--documenter-dark .is-primary.textarea:active, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink:active, html.theme--documenter-dark .is-primary.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary:active, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink:active, html.theme--documenter-dark .is-primary.is-active.textarea, html.theme--documenter-dark .docstring > section > a.is-active.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .docstring > section > a.is-active.input.docs-sourcelink {
+        box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); }
+    html.theme--documenter-dark .is-link.textarea, html.theme--documenter-dark .is-link.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link {
+      border-color: #1abc9c; }
+      html.theme--documenter-dark .is-link.textarea:focus, html.theme--documenter-dark .is-link.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link:focus, html.theme--documenter-dark .is-link.is-focused.textarea, html.theme--documenter-dark .is-link.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-link.textarea:active, html.theme--documenter-dark .is-link.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link:active, html.theme--documenter-dark .is-link.is-active.textarea, html.theme--documenter-dark .is-link.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .is-info.textarea, html.theme--documenter-dark .is-info.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info {
+      border-color: #024c7d; }
+      html.theme--documenter-dark .is-info.textarea:focus, html.theme--documenter-dark .is-info.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info:focus, html.theme--documenter-dark .is-info.is-focused.textarea, html.theme--documenter-dark .is-info.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-info.textarea:active, html.theme--documenter-dark .is-info.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info:active, html.theme--documenter-dark .is-info.is-active.textarea, html.theme--documenter-dark .is-info.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); }
+    html.theme--documenter-dark .is-success.textarea, html.theme--documenter-dark .is-success.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success {
+      border-color: #008438; }
+      html.theme--documenter-dark .is-success.textarea:focus, html.theme--documenter-dark .is-success.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success:focus, html.theme--documenter-dark .is-success.is-focused.textarea, html.theme--documenter-dark .is-success.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-success.textarea:active, html.theme--documenter-dark .is-success.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success:active, html.theme--documenter-dark .is-success.is-active.textarea, html.theme--documenter-dark .is-success.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); }
+    html.theme--documenter-dark .is-warning.textarea, html.theme--documenter-dark .is-warning.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning {
+      border-color: #ad8100; }
+      html.theme--documenter-dark .is-warning.textarea:focus, html.theme--documenter-dark .is-warning.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning:focus, html.theme--documenter-dark .is-warning.is-focused.textarea, html.theme--documenter-dark .is-warning.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-warning.textarea:active, html.theme--documenter-dark .is-warning.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning:active, html.theme--documenter-dark .is-warning.is-active.textarea, html.theme--documenter-dark .is-warning.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); }
+    html.theme--documenter-dark .is-danger.textarea, html.theme--documenter-dark .is-danger.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger {
+      border-color: #9e1b0d; }
+      html.theme--documenter-dark .is-danger.textarea:focus, html.theme--documenter-dark .is-danger.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger:focus, html.theme--documenter-dark .is-danger.is-focused.textarea, html.theme--documenter-dark .is-danger.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-danger.textarea:active, html.theme--documenter-dark .is-danger.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger:active, html.theme--documenter-dark .is-danger.is-active.textarea, html.theme--documenter-dark .is-danger.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); }
+    html.theme--documenter-dark .is-small.textarea, html.theme--documenter-dark .is-small.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .is-medium.textarea, html.theme--documenter-dark .is-medium.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .is-large.textarea, html.theme--documenter-dark .is-large.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .is-fullwidth.textarea, html.theme--documenter-dark .is-fullwidth.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-fullwidth {
+      display: block;
+      width: 100%; }
+    html.theme--documenter-dark .is-inline.textarea, html.theme--documenter-dark .is-inline.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-inline {
+      display: inline;
+      width: auto; }
+  html.theme--documenter-dark .input.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+    border-radius: 290486px;
+    padding-left: 1em;
+    padding-right: 1em; }
+  html.theme--documenter-dark .input.is-static, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-static {
+    background-color: transparent;
+    border-color: transparent;
+    box-shadow: none;
+    padding-left: 0;
+    padding-right: 0; }
+  html.theme--documenter-dark .textarea {
+    display: block;
+    max-width: 100%;
+    min-width: 100%;
+    padding: 0.625em;
+    resize: vertical; }
+    html.theme--documenter-dark .textarea:not([rows]) {
+      max-height: 600px;
+      min-height: 120px; }
+    html.theme--documenter-dark .textarea[rows] {
+      height: initial; }
+    html.theme--documenter-dark .textarea.has-fixed-size {
+      resize: none; }
+  html.theme--documenter-dark .radio, html.theme--documenter-dark .checkbox {
+    cursor: pointer;
+    display: inline-block;
+    line-height: 1.25;
+    position: relative; }
+    html.theme--documenter-dark .radio input, html.theme--documenter-dark .checkbox input {
+      cursor: pointer; }
+    html.theme--documenter-dark .radio:hover, html.theme--documenter-dark .checkbox:hover {
+      color: #8c9b9d; }
+    html.theme--documenter-dark .radio[disabled], html.theme--documenter-dark .checkbox[disabled], fieldset[disabled] html.theme--documenter-dark .radio, fieldset[disabled] html.theme--documenter-dark .checkbox {
+      color: white;
+      cursor: not-allowed; }
+  html.theme--documenter-dark .radio + .radio {
+    margin-left: 0.5em; }
+  html.theme--documenter-dark .select {
+    display: inline-block;
+    max-width: 100%;
+    position: relative;
+    vertical-align: top; }
+    html.theme--documenter-dark .select:not(.is-multiple) {
+      height: 2.25em; }
+    html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after {
+      border-color: #1abc9c;
+      right: 1.125em;
+      z-index: 4; }
+    html.theme--documenter-dark .select.is-rounded select, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.select select {
+      border-radius: 290486px;
+      padding-left: 1em; }
+    html.theme--documenter-dark .select select {
+      cursor: pointer;
+      display: block;
+      font-size: 1em;
+      max-width: 100%;
+      outline: none; }
+      html.theme--documenter-dark .select select::-ms-expand {
+        display: none; }
+      html.theme--documenter-dark .select select[disabled]:hover, fieldset[disabled] html.theme--documenter-dark .select select:hover {
+        border-color: #282f2f; }
+      html.theme--documenter-dark .select select:not([multiple]) {
+        padding-right: 2.5em; }
+      html.theme--documenter-dark .select select[multiple] {
+        height: auto;
+        padding: 0; }
+        html.theme--documenter-dark .select select[multiple] option {
+          padding: 0.5em 1em; }
+    html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading):hover::after {
+      border-color: #8c9b9d; }
+    html.theme--documenter-dark .select.is-white:not(:hover)::after {
+      border-color: white; }
+    html.theme--documenter-dark .select.is-white select {
+      border-color: white; }
+      html.theme--documenter-dark .select.is-white select:hover, html.theme--documenter-dark .select.is-white select.is-hovered {
+        border-color: #f2f2f2; }
+      html.theme--documenter-dark .select.is-white select:focus, html.theme--documenter-dark .select.is-white select.is-focused, html.theme--documenter-dark .select.is-white select:active, html.theme--documenter-dark .select.is-white select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+    html.theme--documenter-dark .select.is-black:not(:hover)::after {
+      border-color: #0a0a0a; }
+    html.theme--documenter-dark .select.is-black select {
+      border-color: #0a0a0a; }
+      html.theme--documenter-dark .select.is-black select:hover, html.theme--documenter-dark .select.is-black select.is-hovered {
+        border-color: black; }
+      html.theme--documenter-dark .select.is-black select:focus, html.theme--documenter-dark .select.is-black select.is-focused, html.theme--documenter-dark .select.is-black select:active, html.theme--documenter-dark .select.is-black select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+    html.theme--documenter-dark .select.is-light:not(:hover)::after {
+      border-color: #ecf0f1; }
+    html.theme--documenter-dark .select.is-light select {
+      border-color: #ecf0f1; }
+      html.theme--documenter-dark .select.is-light select:hover, html.theme--documenter-dark .select.is-light select.is-hovered {
+        border-color: #dde4e6; }
+      html.theme--documenter-dark .select.is-light select:focus, html.theme--documenter-dark .select.is-light select.is-focused, html.theme--documenter-dark .select.is-light select:active, html.theme--documenter-dark .select.is-light select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); }
+    html.theme--documenter-dark .select.is-dark:not(:hover)::after, html.theme--documenter-dark .content kbd.select:not(:hover)::after {
+      border-color: #282f2f; }
+    html.theme--documenter-dark .select.is-dark select, html.theme--documenter-dark .content kbd.select select {
+      border-color: #282f2f; }
+      html.theme--documenter-dark .select.is-dark select:hover, html.theme--documenter-dark .content kbd.select select:hover, html.theme--documenter-dark .select.is-dark select.is-hovered, html.theme--documenter-dark .content kbd.select select.is-hovered {
+        border-color: #1d2122; }
+      html.theme--documenter-dark .select.is-dark select:focus, html.theme--documenter-dark .content kbd.select select:focus, html.theme--documenter-dark .select.is-dark select.is-focused, html.theme--documenter-dark .content kbd.select select.is-focused, html.theme--documenter-dark .select.is-dark select:active, html.theme--documenter-dark .content kbd.select select:active, html.theme--documenter-dark .select.is-dark select.is-active, html.theme--documenter-dark .content kbd.select select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); }
+    html.theme--documenter-dark .select.is-primary:not(:hover)::after, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink:not(:hover)::after {
+      border-color: #375a7f; }
+    html.theme--documenter-dark .select.is-primary select, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select {
+      border-color: #375a7f; }
+      html.theme--documenter-dark .select.is-primary select:hover, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:hover, html.theme--documenter-dark .select.is-primary select.is-hovered, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-hovered {
+        border-color: #2f4d6d; }
+      html.theme--documenter-dark .select.is-primary select:focus, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:focus, html.theme--documenter-dark .select.is-primary select.is-focused, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-focused, html.theme--documenter-dark .select.is-primary select:active, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:active, html.theme--documenter-dark .select.is-primary select.is-active, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); }
+    html.theme--documenter-dark .select.is-link:not(:hover)::after {
+      border-color: #1abc9c; }
+    html.theme--documenter-dark .select.is-link select {
+      border-color: #1abc9c; }
+      html.theme--documenter-dark .select.is-link select:hover, html.theme--documenter-dark .select.is-link select.is-hovered {
+        border-color: #17a689; }
+      html.theme--documenter-dark .select.is-link select:focus, html.theme--documenter-dark .select.is-link select.is-focused, html.theme--documenter-dark .select.is-link select:active, html.theme--documenter-dark .select.is-link select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .select.is-info:not(:hover)::after {
+      border-color: #024c7d; }
+    html.theme--documenter-dark .select.is-info select {
+      border-color: #024c7d; }
+      html.theme--documenter-dark .select.is-info select:hover, html.theme--documenter-dark .select.is-info select.is-hovered {
+        border-color: #023d64; }
+      html.theme--documenter-dark .select.is-info select:focus, html.theme--documenter-dark .select.is-info select.is-focused, html.theme--documenter-dark .select.is-info select:active, html.theme--documenter-dark .select.is-info select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); }
+    html.theme--documenter-dark .select.is-success:not(:hover)::after {
+      border-color: #008438; }
+    html.theme--documenter-dark .select.is-success select {
+      border-color: #008438; }
+      html.theme--documenter-dark .select.is-success select:hover, html.theme--documenter-dark .select.is-success select.is-hovered {
+        border-color: #006b2d; }
+      html.theme--documenter-dark .select.is-success select:focus, html.theme--documenter-dark .select.is-success select.is-focused, html.theme--documenter-dark .select.is-success select:active, html.theme--documenter-dark .select.is-success select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); }
+    html.theme--documenter-dark .select.is-warning:not(:hover)::after {
+      border-color: #ad8100; }
+    html.theme--documenter-dark .select.is-warning select {
+      border-color: #ad8100; }
+      html.theme--documenter-dark .select.is-warning select:hover, html.theme--documenter-dark .select.is-warning select.is-hovered {
+        border-color: #946e00; }
+      html.theme--documenter-dark .select.is-warning select:focus, html.theme--documenter-dark .select.is-warning select.is-focused, html.theme--documenter-dark .select.is-warning select:active, html.theme--documenter-dark .select.is-warning select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); }
+    html.theme--documenter-dark .select.is-danger:not(:hover)::after {
+      border-color: #9e1b0d; }
+    html.theme--documenter-dark .select.is-danger select {
+      border-color: #9e1b0d; }
+      html.theme--documenter-dark .select.is-danger select:hover, html.theme--documenter-dark .select.is-danger select.is-hovered {
+        border-color: #86170b; }
+      html.theme--documenter-dark .select.is-danger select:focus, html.theme--documenter-dark .select.is-danger select.is-focused, html.theme--documenter-dark .select.is-danger select:active, html.theme--documenter-dark .select.is-danger select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); }
+    html.theme--documenter-dark .select.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.select {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .select.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .select.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .select.is-disabled::after {
+      border-color: white; }
+    html.theme--documenter-dark .select.is-fullwidth {
+      width: 100%; }
+      html.theme--documenter-dark .select.is-fullwidth select {
+        width: 100%; }
+    html.theme--documenter-dark .select.is-loading::after {
+      margin-top: 0;
+      position: absolute;
+      right: 0.625em;
+      top: 0.625em;
+      transform: none; }
+    html.theme--documenter-dark .select.is-loading.is-small:after, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .select.is-loading.is-medium:after {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .select.is-loading.is-large:after {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .file {
+    align-items: stretch;
+    display: flex;
+    justify-content: flex-start;
+    position: relative; }
+    html.theme--documenter-dark .file.is-white .file-cta {
+      background-color: white;
+      border-color: transparent;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-white:hover .file-cta, html.theme--documenter-dark .file.is-white.is-hovered .file-cta {
+      background-color: #f9f9f9;
+      border-color: transparent;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-white:focus .file-cta, html.theme--documenter-dark .file.is-white.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(255, 255, 255, 0.25);
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-white:active .file-cta, html.theme--documenter-dark .file.is-white.is-active .file-cta {
+      background-color: #f2f2f2;
+      border-color: transparent;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-black .file-cta {
+      background-color: #0a0a0a;
+      border-color: transparent;
+      color: white; }
+    html.theme--documenter-dark .file.is-black:hover .file-cta, html.theme--documenter-dark .file.is-black.is-hovered .file-cta {
+      background-color: #040404;
+      border-color: transparent;
+      color: white; }
+    html.theme--documenter-dark .file.is-black:focus .file-cta, html.theme--documenter-dark .file.is-black.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(10, 10, 10, 0.25);
+      color: white; }
+    html.theme--documenter-dark .file.is-black:active .file-cta, html.theme--documenter-dark .file.is-black.is-active .file-cta {
+      background-color: black;
+      border-color: transparent;
+      color: white; }
+    html.theme--documenter-dark .file.is-light .file-cta {
+      background-color: #ecf0f1;
+      border-color: transparent;
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-light:hover .file-cta, html.theme--documenter-dark .file.is-light.is-hovered .file-cta {
+      background-color: #e5eaec;
+      border-color: transparent;
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-light:focus .file-cta, html.theme--documenter-dark .file.is-light.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(236, 240, 241, 0.25);
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-light:active .file-cta, html.theme--documenter-dark .file.is-light.is-active .file-cta {
+      background-color: #dde4e6;
+      border-color: transparent;
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-dark .file-cta, html.theme--documenter-dark .content kbd.file .file-cta {
+      background-color: #282f2f;
+      border-color: transparent;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-dark:hover .file-cta, html.theme--documenter-dark .content kbd.file:hover .file-cta, html.theme--documenter-dark .file.is-dark.is-hovered .file-cta, html.theme--documenter-dark .content kbd.file.is-hovered .file-cta {
+      background-color: #232829;
+      border-color: transparent;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-dark:focus .file-cta, html.theme--documenter-dark .content kbd.file:focus .file-cta, html.theme--documenter-dark .file.is-dark.is-focused .file-cta, html.theme--documenter-dark .content kbd.file.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(40, 47, 47, 0.25);
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-dark:active .file-cta, html.theme--documenter-dark .content kbd.file:active .file-cta, html.theme--documenter-dark .file.is-dark.is-active .file-cta, html.theme--documenter-dark .content kbd.file.is-active .file-cta {
+      background-color: #1d2122;
+      border-color: transparent;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-primary .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink .file-cta {
+      background-color: #375a7f;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-primary:hover .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:hover .file-cta, html.theme--documenter-dark .file.is-primary.is-hovered .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-hovered.docs-sourcelink .file-cta {
+      background-color: #335476;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-primary:focus .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:focus .file-cta, html.theme--documenter-dark .file.is-primary.is-focused .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-focused.docs-sourcelink .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(55, 90, 127, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-primary:active .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:active .file-cta, html.theme--documenter-dark .file.is-primary.is-active .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-active.docs-sourcelink .file-cta {
+      background-color: #2f4d6d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link .file-cta {
+      background-color: #1abc9c;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link:hover .file-cta, html.theme--documenter-dark .file.is-link.is-hovered .file-cta {
+      background-color: #18b193;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link:focus .file-cta, html.theme--documenter-dark .file.is-link.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(26, 188, 156, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link:active .file-cta, html.theme--documenter-dark .file.is-link.is-active .file-cta {
+      background-color: #17a689;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info .file-cta {
+      background-color: #024c7d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info:hover .file-cta, html.theme--documenter-dark .file.is-info.is-hovered .file-cta {
+      background-color: #024470;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info:focus .file-cta, html.theme--documenter-dark .file.is-info.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(2, 76, 125, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info:active .file-cta, html.theme--documenter-dark .file.is-info.is-active .file-cta {
+      background-color: #023d64;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success .file-cta {
+      background-color: #008438;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success:hover .file-cta, html.theme--documenter-dark .file.is-success.is-hovered .file-cta {
+      background-color: #007733;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success:focus .file-cta, html.theme--documenter-dark .file.is-success.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(0, 132, 56, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success:active .file-cta, html.theme--documenter-dark .file.is-success.is-active .file-cta {
+      background-color: #006b2d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning .file-cta {
+      background-color: #ad8100;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning:hover .file-cta, html.theme--documenter-dark .file.is-warning.is-hovered .file-cta {
+      background-color: #a07700;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning:focus .file-cta, html.theme--documenter-dark .file.is-warning.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(173, 129, 0, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning:active .file-cta, html.theme--documenter-dark .file.is-warning.is-active .file-cta {
+      background-color: #946e00;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger .file-cta {
+      background-color: #9e1b0d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger:hover .file-cta, html.theme--documenter-dark .file.is-danger.is-hovered .file-cta {
+      background-color: #92190c;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger:focus .file-cta, html.theme--documenter-dark .file.is-danger.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(158, 27, 13, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger:active .file-cta, html.theme--documenter-dark .file.is-danger.is-active .file-cta {
+      background-color: #86170b;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.file {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .file.is-medium {
+      font-size: 1.25rem; }
+      html.theme--documenter-dark .file.is-medium .file-icon .fa {
+        font-size: 21px; }
+    html.theme--documenter-dark .file.is-large {
+      font-size: 1.5rem; }
+      html.theme--documenter-dark .file.is-large .file-icon .fa {
+        font-size: 28px; }
+    html.theme--documenter-dark .file.has-name .file-cta {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0; }
+    html.theme--documenter-dark .file.has-name .file-name {
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    html.theme--documenter-dark .file.has-name.is-empty .file-cta {
+      border-radius: 0.4em; }
+    html.theme--documenter-dark .file.has-name.is-empty .file-name {
+      display: none; }
+    html.theme--documenter-dark .file.is-boxed .file-label {
+      flex-direction: column; }
+    html.theme--documenter-dark .file.is-boxed .file-cta {
+      flex-direction: column;
+      height: auto;
+      padding: 1em 3em; }
+    html.theme--documenter-dark .file.is-boxed .file-name {
+      border-width: 0 1px 1px; }
+    html.theme--documenter-dark .file.is-boxed .file-icon {
+      height: 1.5em;
+      width: 1.5em; }
+      html.theme--documenter-dark .file.is-boxed .file-icon .fa {
+        font-size: 21px; }
+    html.theme--documenter-dark .file.is-boxed.is-small .file-icon .fa, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-boxed .file-icon .fa {
+      font-size: 14px; }
+    html.theme--documenter-dark .file.is-boxed.is-medium .file-icon .fa {
+      font-size: 28px; }
+    html.theme--documenter-dark .file.is-boxed.is-large .file-icon .fa {
+      font-size: 35px; }
+    html.theme--documenter-dark .file.is-boxed.has-name .file-cta {
+      border-radius: 0.4em 0.4em 0 0; }
+    html.theme--documenter-dark .file.is-boxed.has-name .file-name {
+      border-radius: 0 0 0.4em 0.4em;
+      border-width: 0 1px 1px; }
+    html.theme--documenter-dark .file.is-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .file.is-fullwidth .file-label {
+      width: 100%; }
+    html.theme--documenter-dark .file.is-fullwidth .file-name {
+      flex-grow: 1;
+      max-width: none; }
+    html.theme--documenter-dark .file.is-right {
+      justify-content: flex-end; }
+      html.theme--documenter-dark .file.is-right .file-cta {
+        border-radius: 0 0.4em 0.4em 0; }
+      html.theme--documenter-dark .file.is-right .file-name {
+        border-radius: 0.4em 0 0 0.4em;
+        border-width: 1px 0 1px 1px;
+        order: -1; }
+  html.theme--documenter-dark .file-label {
+    align-items: stretch;
+    display: flex;
+    cursor: pointer;
+    justify-content: flex-start;
+    overflow: hidden;
+    position: relative; }
+    html.theme--documenter-dark .file-label:hover .file-cta {
+      background-color: #e5eaec;
+      color: #282f2f; }
+    html.theme--documenter-dark .file-label:hover .file-name {
+      border-color: #596668; }
+    html.theme--documenter-dark .file-label:active .file-cta {
+      background-color: #dde4e6;
+      color: #282f2f; }
+    html.theme--documenter-dark .file-label:active .file-name {
+      border-color: #535f61; }
+  html.theme--documenter-dark .file-input {
+    height: 100%;
+    left: 0;
+    opacity: 0;
+    outline: none;
+    position: absolute;
+    top: 0;
+    width: 100%; }
+  html.theme--documenter-dark .file-cta,
+  html.theme--documenter-dark .file-name {
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    font-size: 1em;
+    padding-left: 1em;
+    padding-right: 1em;
+    white-space: nowrap; }
+  html.theme--documenter-dark .file-cta {
+    background-color: #ecf0f1;
+    color: #343c3d; }
+  html.theme--documenter-dark .file-name {
+    border-color: #5e6d6f;
+    border-style: solid;
+    border-width: 1px 1px 1px 0;
+    display: block;
+    max-width: 16em;
+    overflow: hidden;
+    text-align: left;
+    text-overflow: ellipsis; }
+  html.theme--documenter-dark .file-icon {
+    align-items: center;
+    display: flex;
+    height: 1em;
+    justify-content: center;
+    margin-right: 0.5em;
+    width: 1em; }
+    html.theme--documenter-dark .file-icon .fa {
+      font-size: 14px; }
+  html.theme--documenter-dark .label {
+    color: #282f2f;
+    display: block;
+    font-size: 15px;
+    font-weight: 700; }
+    html.theme--documenter-dark .label:not(:last-child) {
+      margin-bottom: 0.5em; }
+    html.theme--documenter-dark .label.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.label {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .label.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .label.is-large {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .help {
+    display: block;
+    font-size: 0.85em;
+    margin-top: 0.25rem; }
+    html.theme--documenter-dark .help.is-white {
+      color: white; }
+    html.theme--documenter-dark .help.is-black {
+      color: #0a0a0a; }
+    html.theme--documenter-dark .help.is-light {
+      color: #ecf0f1; }
+    html.theme--documenter-dark .help.is-dark, html.theme--documenter-dark .content kbd.help {
+      color: #282f2f; }
+    html.theme--documenter-dark .help.is-primary, html.theme--documenter-dark .docstring > section > a.help.docs-sourcelink {
+      color: #375a7f; }
+    html.theme--documenter-dark .help.is-link {
+      color: #1abc9c; }
+    html.theme--documenter-dark .help.is-info {
+      color: #024c7d; }
+    html.theme--documenter-dark .help.is-success {
+      color: #008438; }
+    html.theme--documenter-dark .help.is-warning {
+      color: #ad8100; }
+    html.theme--documenter-dark .help.is-danger {
+      color: #9e1b0d; }
+  html.theme--documenter-dark .field:not(:last-child) {
+    margin-bottom: 0.75rem; }
+  html.theme--documenter-dark .field.has-addons {
+    display: flex;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .field.has-addons .control:not(:last-child) {
+      margin-right: -1px; }
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .button,
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .input,
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search > input,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search > input,
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .select select {
+      border-radius: 0; }
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .button,
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .input,
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search > input,
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .select select {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0; }
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .button,
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .input,
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search > input,
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .select select {
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):hover, html.theme--documenter-dark .field.has-addons .control .button.is-hovered:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):hover,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):hover,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):hover,
+    html.theme--documenter-dark .field.has-addons .control .input.is-hovered:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-hovered:not([disabled]),
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-hovered:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):hover,
+    html.theme--documenter-dark .field.has-addons .control .select select.is-hovered:not([disabled]) {
+      z-index: 2; }
+    html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):focus, html.theme--documenter-dark .field.has-addons .control .button.is-focused:not([disabled]), html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):active, html.theme--documenter-dark .field.has-addons .control .button.is-active:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):focus,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus,
+    html.theme--documenter-dark .field.has-addons .control .input.is-focused:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]),
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):active,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active,
+    html.theme--documenter-dark .field.has-addons .control .input.is-active:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]),
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):focus,
+    html.theme--documenter-dark .field.has-addons .control .select select.is-focused:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):active,
+    html.theme--documenter-dark .field.has-addons .control .select select.is-active:not([disabled]) {
+      z-index: 3; }
+      html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):focus:hover, html.theme--documenter-dark .field.has-addons .control .button.is-focused:not([disabled]):hover, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):active:hover, html.theme--documenter-dark .field.has-addons .control .button.is-active:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):focus:hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus:hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus:hover,
+      html.theme--documenter-dark .field.has-addons .control .input.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):active:hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active:hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active:hover,
+      html.theme--documenter-dark .field.has-addons .control .input.is-active:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]):hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):focus:hover,
+      html.theme--documenter-dark .field.has-addons .control .select select.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):active:hover,
+      html.theme--documenter-dark .field.has-addons .control .select select.is-active:not([disabled]):hover {
+        z-index: 4; }
+    html.theme--documenter-dark .field.has-addons .control.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .field.has-addons.has-addons-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .field.has-addons.has-addons-right {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .field.has-addons.has-addons-fullwidth .control {
+      flex-grow: 1;
+      flex-shrink: 0; }
+  html.theme--documenter-dark .field.is-grouped {
+    display: flex;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .field.is-grouped > .control {
+      flex-shrink: 0; }
+      html.theme--documenter-dark .field.is-grouped > .control:not(:last-child) {
+        margin-bottom: 0;
+        margin-right: 0.75rem; }
+      html.theme--documenter-dark .field.is-grouped > .control.is-expanded {
+        flex-grow: 1;
+        flex-shrink: 1; }
+    html.theme--documenter-dark .field.is-grouped.is-grouped-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .field.is-grouped.is-grouped-right {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .field.is-grouped.is-grouped-multiline {
+      flex-wrap: wrap; }
+      html.theme--documenter-dark .field.is-grouped.is-grouped-multiline > .control:last-child, html.theme--documenter-dark .field.is-grouped.is-grouped-multiline > .control:not(:last-child) {
+        margin-bottom: 0.75rem; }
+      html.theme--documenter-dark .field.is-grouped.is-grouped-multiline:last-child {
+        margin-bottom: -0.75rem; }
+      html.theme--documenter-dark .field.is-grouped.is-grouped-multiline:not(:last-child) {
+        margin-bottom: 0; }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .field.is-horizontal {
+      display: flex; } }
+  html.theme--documenter-dark .field-label .label {
+    font-size: inherit; }
+  @media screen and (max-width: 768px) {
+    html.theme--documenter-dark .field-label {
+      margin-bottom: 0.5rem; } }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .field-label {
+      flex-basis: 0;
+      flex-grow: 1;
+      flex-shrink: 0;
+      margin-right: 1.5rem;
+      text-align: right; }
+      html.theme--documenter-dark .field-label.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.field-label {
+        font-size: 0.85em;
+        padding-top: 0.375em; }
+      html.theme--documenter-dark .field-label.is-normal {
+        padding-top: 0.375em; }
+      html.theme--documenter-dark .field-label.is-medium {
+        font-size: 1.25rem;
+        padding-top: 0.375em; }
+      html.theme--documenter-dark .field-label.is-large {
+        font-size: 1.5rem;
+        padding-top: 0.375em; } }
+  html.theme--documenter-dark .field-body .field .field {
+    margin-bottom: 0; }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .field-body {
+      display: flex;
+      flex-basis: 0;
+      flex-grow: 5;
+      flex-shrink: 1; }
+      html.theme--documenter-dark .field-body .field {
+        margin-bottom: 0; }
+      html.theme--documenter-dark .field-body > .field {
+        flex-shrink: 1; }
+        html.theme--documenter-dark .field-body > .field:not(.is-narrow) {
+          flex-grow: 1; }
+        html.theme--documenter-dark .field-body > .field:not(:last-child) {
+          margin-right: 0.75rem; } }
+  html.theme--documenter-dark .control {
+    box-sizing: border-box;
+    clear: both;
+    font-size: 15px;
+    position: relative;
+    text-align: left; }
+    html.theme--documenter-dark .control.has-icons-left .input:focus ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input:focus ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select:focus ~ .icon, html.theme--documenter-dark .control.has-icons-right .input:focus ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input:focus ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select:focus ~ .icon {
+      color: #5e6d6f; }
+    html.theme--documenter-dark .control.has-icons-left .input.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select.is-small ~ .icon {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .control.has-icons-left .input.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-medium ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-medium ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select.is-medium ~ .icon {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .control.has-icons-left .input.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-large ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-large ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select.is-large ~ .icon {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .control.has-icons-left .icon, html.theme--documenter-dark .control.has-icons-right .icon {
+      color: #dbdee0;
+      height: 2.25em;
+      pointer-events: none;
+      position: absolute;
+      top: 0;
+      width: 2.25em;
+      z-index: 4; }
+    html.theme--documenter-dark .control.has-icons-left .input, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input,
+    html.theme--documenter-dark .control.has-icons-left .select select {
+      padding-left: 2.25em; }
+    html.theme--documenter-dark .control.has-icons-left .icon.is-left {
+      left: 0; }
+    html.theme--documenter-dark .control.has-icons-right .input, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input,
+    html.theme--documenter-dark .control.has-icons-right .select select {
+      padding-right: 2.25em; }
+    html.theme--documenter-dark .control.has-icons-right .icon.is-right {
+      right: 0; }
+    html.theme--documenter-dark .control.is-loading::after {
+      position: absolute !important;
+      right: 0.625em;
+      top: 0.625em;
+      z-index: 4; }
+    html.theme--documenter-dark .control.is-loading.is-small:after, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .control.is-loading.is-medium:after {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .control.is-loading.is-large:after {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .breadcrumb {
+    font-size: 15px;
+    white-space: nowrap; }
+    html.theme--documenter-dark .breadcrumb a {
+      align-items: center;
+      color: #1abc9c;
+      display: flex;
+      justify-content: center;
+      padding: 0 0.75em; }
+      html.theme--documenter-dark .breadcrumb a:hover {
+        color: #1dd2af; }
+    html.theme--documenter-dark .breadcrumb li {
+      align-items: center;
+      display: flex; }
+      html.theme--documenter-dark .breadcrumb li:first-child a {
+        padding-left: 0; }
+      html.theme--documenter-dark .breadcrumb li.is-active a {
+        color: #f2f2f2;
+        cursor: default;
+        pointer-events: none; }
+      html.theme--documenter-dark .breadcrumb li + li::before {
+        color: #8c9b9d;
+        content: "\0002f"; }
+    html.theme--documenter-dark .breadcrumb ul,
+    html.theme--documenter-dark .breadcrumb ol {
+      align-items: flex-start;
+      display: flex;
+      flex-wrap: wrap;
+      justify-content: flex-start; }
+    html.theme--documenter-dark .breadcrumb .icon:first-child {
+      margin-right: 0.5em; }
+    html.theme--documenter-dark .breadcrumb .icon:last-child {
+      margin-left: 0.5em; }
+    html.theme--documenter-dark .breadcrumb.is-centered ol,
+    html.theme--documenter-dark .breadcrumb.is-centered ul {
+      justify-content: center; }
+    html.theme--documenter-dark .breadcrumb.is-right ol,
+    html.theme--documenter-dark .breadcrumb.is-right ul {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .breadcrumb.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.breadcrumb {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .breadcrumb.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .breadcrumb.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .breadcrumb.has-arrow-separator li + li::before {
+      content: "\02192"; }
+    html.theme--documenter-dark .breadcrumb.has-bullet-separator li + li::before {
+      content: "\02022"; }
+    html.theme--documenter-dark .breadcrumb.has-dot-separator li + li::before {
+      content: "\000b7"; }
+    html.theme--documenter-dark .breadcrumb.has-succeeds-separator li + li::before {
+      content: "\0227B"; }
+  html.theme--documenter-dark .card {
+    background-color: white;
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+    color: #fff;
+    max-width: 100%;
+    position: relative; }
+  html.theme--documenter-dark .card-header {
+    background-color: transparent;
+    align-items: stretch;
+    box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+    display: flex; }
+  html.theme--documenter-dark .card-header-title {
+    align-items: center;
+    color: #f2f2f2;
+    display: flex;
+    flex-grow: 1;
+    font-weight: 700;
+    padding: 0.75rem; }
+    html.theme--documenter-dark .card-header-title.is-centered {
+      justify-content: center; }
+  html.theme--documenter-dark .card-header-icon {
+    align-items: center;
+    cursor: pointer;
+    display: flex;
+    justify-content: center;
+    padding: 0.75rem; }
+  html.theme--documenter-dark .card-image {
+    display: block;
+    position: relative; }
+  html.theme--documenter-dark .card-content {
+    background-color: transparent;
+    padding: 1rem 1.25rem; }
+  html.theme--documenter-dark .card-footer {
+    background-color: transparent;
+    border-top: 1px solid #5e6d6f;
+    align-items: stretch;
+    display: flex; }
+  html.theme--documenter-dark .card-footer-item {
+    align-items: center;
+    display: flex;
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 0;
+    justify-content: center;
+    padding: 0.75rem; }
+    html.theme--documenter-dark .card-footer-item:not(:last-child) {
+      border-right: 1px solid #5e6d6f; }
+  html.theme--documenter-dark .card .media:not(:last-child) {
+    margin-bottom: 1.5rem; }
+  html.theme--documenter-dark .dropdown {
+    display: inline-flex;
+    position: relative;
+    vertical-align: top; }
+    html.theme--documenter-dark .dropdown.is-active .dropdown-menu, html.theme--documenter-dark .dropdown.is-hoverable:hover .dropdown-menu {
+      display: block; }
+    html.theme--documenter-dark .dropdown.is-right .dropdown-menu {
+      left: auto;
+      right: 0; }
+    html.theme--documenter-dark .dropdown.is-up .dropdown-menu {
+      bottom: 100%;
+      padding-bottom: 4px;
+      padding-top: initial;
+      top: auto; }
+  html.theme--documenter-dark .dropdown-menu {
+    display: none;
+    left: 0;
+    min-width: 12rem;
+    padding-top: 4px;
+    position: absolute;
+    top: 100%;
+    z-index: 20; }
+  html.theme--documenter-dark .dropdown-content {
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+    padding-bottom: 0.5rem;
+    padding-top: 0.5rem; }
+  html.theme--documenter-dark .dropdown-item {
+    color: #fff;
+    display: block;
+    font-size: 0.875rem;
+    line-height: 1.5;
+    padding: 0.375rem 1rem;
+    position: relative; }
+  html.theme--documenter-dark a.dropdown-item,
+  html.theme--documenter-dark button.dropdown-item {
+    padding-right: 3rem;
+    text-align: left;
+    white-space: nowrap;
+    width: 100%; }
+    html.theme--documenter-dark a.dropdown-item:hover,
+    html.theme--documenter-dark button.dropdown-item:hover {
+      background-color: #282f2f;
+      color: #0a0a0a; }
+    html.theme--documenter-dark a.dropdown-item.is-active,
+    html.theme--documenter-dark button.dropdown-item.is-active {
+      background-color: #1abc9c;
+      color: #fff; }
+  html.theme--documenter-dark .dropdown-divider {
+    background-color: #5e6d6f;
+    border: none;
+    display: block;
+    height: 1px;
+    margin: 0.5rem 0; }
+  html.theme--documenter-dark .level {
+    align-items: center;
+    justify-content: space-between; }
+    html.theme--documenter-dark .level code {
+      border-radius: 0.4em; }
+    html.theme--documenter-dark .level img {
+      display: inline-block;
+      vertical-align: top; }
+    html.theme--documenter-dark .level.is-mobile {
+      display: flex; }
+      html.theme--documenter-dark .level.is-mobile .level-left,
+      html.theme--documenter-dark .level.is-mobile .level-right {
+        display: flex; }
+      html.theme--documenter-dark .level.is-mobile .level-left + .level-right {
+        margin-top: 0; }
+      html.theme--documenter-dark .level.is-mobile .level-item:not(:last-child) {
+        margin-bottom: 0;
+        margin-right: 0.75rem; }
+      html.theme--documenter-dark .level.is-mobile .level-item:not(.is-narrow) {
+        flex-grow: 1; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level {
+        display: flex; }
+        html.theme--documenter-dark .level > .level-item:not(.is-narrow) {
+          flex-grow: 1; } }
+  html.theme--documenter-dark .level-item {
+    align-items: center;
+    display: flex;
+    flex-basis: auto;
+    flex-grow: 0;
+    flex-shrink: 0;
+    justify-content: center; }
+    html.theme--documenter-dark .level-item .title,
+    html.theme--documenter-dark .level-item .subtitle {
+      margin-bottom: 0; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .level-item:not(:last-child) {
+        margin-bottom: 0.75rem; } }
+  html.theme--documenter-dark .level-left,
+  html.theme--documenter-dark .level-right {
+    flex-basis: auto;
+    flex-grow: 0;
+    flex-shrink: 0; }
+    html.theme--documenter-dark .level-left .level-item.is-flexible,
+    html.theme--documenter-dark .level-right .level-item.is-flexible {
+      flex-grow: 1; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level-left .level-item:not(:last-child),
+      html.theme--documenter-dark .level-right .level-item:not(:last-child) {
+        margin-right: 0.75rem; } }
+  html.theme--documenter-dark .level-left {
+    align-items: center;
+    justify-content: flex-start; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .level-left + .level-right {
+        margin-top: 1.5rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level-left {
+        display: flex; } }
+  html.theme--documenter-dark .level-right {
+    align-items: center;
+    justify-content: flex-end; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level-right {
+        display: flex; } }
+  html.theme--documenter-dark .list {
+    background-color: white;
+    border-radius: 0.4em;
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); }
+  html.theme--documenter-dark .list-item {
+    display: block;
+    padding: 0.5em 1em; }
+    html.theme--documenter-dark .list-item:not(a) {
+      color: #fff; }
+    html.theme--documenter-dark .list-item:first-child {
+      border-top-left-radius: 0.4em;
+      border-top-right-radius: 0.4em; }
+    html.theme--documenter-dark .list-item:last-child {
+      border-bottom-left-radius: 0.4em;
+      border-bottom-right-radius: 0.4em; }
+    html.theme--documenter-dark .list-item:not(:last-child) {
+      border-bottom: 1px solid #5e6d6f; }
+    html.theme--documenter-dark .list-item.is-active {
+      background-color: #1abc9c;
+      color: #fff; }
+  html.theme--documenter-dark a.list-item {
+    background-color: #282f2f;
+    cursor: pointer; }
+  html.theme--documenter-dark .media {
+    align-items: flex-start;
+    display: flex;
+    text-align: left; }
+    html.theme--documenter-dark .media .content:not(:last-child) {
+      margin-bottom: 0.75rem; }
+    html.theme--documenter-dark .media .media {
+      border-top: 1px solid rgba(94, 109, 111, 0.5);
+      display: flex;
+      padding-top: 0.75rem; }
+      html.theme--documenter-dark .media .media .content:not(:last-child),
+      html.theme--documenter-dark .media .media .control:not(:last-child) {
+        margin-bottom: 0.5rem; }
+      html.theme--documenter-dark .media .media .media {
+        padding-top: 0.5rem; }
+        html.theme--documenter-dark .media .media .media + .media {
+          margin-top: 0.5rem; }
+    html.theme--documenter-dark .media + .media {
+      border-top: 1px solid rgba(94, 109, 111, 0.5);
+      margin-top: 1rem;
+      padding-top: 1rem; }
+    html.theme--documenter-dark .media.is-large + .media {
+      margin-top: 1.5rem;
+      padding-top: 1.5rem; }
+  html.theme--documenter-dark .media-left,
+  html.theme--documenter-dark .media-right {
+    flex-basis: auto;
+    flex-grow: 0;
+    flex-shrink: 0; }
+  html.theme--documenter-dark .media-left {
+    margin-right: 1rem; }
+  html.theme--documenter-dark .media-right {
+    margin-left: 1rem; }
+  html.theme--documenter-dark .media-content {
+    flex-basis: auto;
+    flex-grow: 1;
+    flex-shrink: 1;
+    text-align: left; }
+  @media screen and (max-width: 768px) {
+    html.theme--documenter-dark .media-content {
+      overflow-x: auto; } }
+  html.theme--documenter-dark .menu {
+    font-size: 15px; }
+    html.theme--documenter-dark .menu.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.menu {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .menu.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .menu.is-large {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .menu-list {
+    line-height: 1.25; }
+    html.theme--documenter-dark .menu-list a {
+      border-radius: 3px;
+      color: #fff;
+      display: block;
+      padding: 0.5em 0.75em; }
+      html.theme--documenter-dark .menu-list a:hover {
+        background-color: #282f2f;
+        color: #f2f2f2; }
+      html.theme--documenter-dark .menu-list a.is-active {
+        background-color: #1abc9c;
+        color: #fff; }
+    html.theme--documenter-dark .menu-list li ul {
+      border-left: 1px solid #5e6d6f;
+      margin: 0.75em;
+      padding-left: 0.75em; }
+  html.theme--documenter-dark .menu-label {
+    color: white;
+    font-size: 0.75em;
+    letter-spacing: 0.1em;
+    text-transform: uppercase; }
+    html.theme--documenter-dark .menu-label:not(:first-child) {
+      margin-top: 1em; }
+    html.theme--documenter-dark .menu-label:not(:last-child) {
+      margin-bottom: 1em; }
+  html.theme--documenter-dark .message {
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    font-size: 15px; }
+    html.theme--documenter-dark .message strong {
+      color: currentColor; }
+    html.theme--documenter-dark .message a:not(.button):not(.tag):not(.dropdown-item) {
+      color: currentColor;
+      text-decoration: underline; }
+    html.theme--documenter-dark .message.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.message {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .message.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .message.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .message.is-white {
+      background-color: white; }
+      html.theme--documenter-dark .message.is-white .message-header {
+        background-color: white;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .message.is-white .message-body {
+        border-color: white;
+        color: #4d4d4d; }
+    html.theme--documenter-dark .message.is-black {
+      background-color: #fafafa; }
+      html.theme--documenter-dark .message.is-black .message-header {
+        background-color: #0a0a0a;
+        color: white; }
+      html.theme--documenter-dark .message.is-black .message-body {
+        border-color: #0a0a0a;
+        color: #090909; }
+    html.theme--documenter-dark .message.is-light {
+      background-color: #f9fafb; }
+      html.theme--documenter-dark .message.is-light .message-header {
+        background-color: #ecf0f1;
+        color: #282f2f; }
+      html.theme--documenter-dark .message.is-light .message-body {
+        border-color: #ecf0f1;
+        color: #505050; }
+    html.theme--documenter-dark .message.is-dark, html.theme--documenter-dark .content kbd.message {
+      background-color: #f9fafa; }
+      html.theme--documenter-dark .message.is-dark .message-header, html.theme--documenter-dark .content kbd.message .message-header {
+        background-color: #282f2f;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .message.is-dark .message-body, html.theme--documenter-dark .content kbd.message .message-body {
+        border-color: #282f2f;
+        color: #212526; }
+    html.theme--documenter-dark .message.is-primary, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink {
+      background-color: #f8fafc; }
+      html.theme--documenter-dark .message.is-primary .message-header, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink .message-header {
+        background-color: #375a7f;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-primary .message-body, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink .message-body {
+        border-color: #375a7f;
+        color: #2b4159; }
+    html.theme--documenter-dark .message.is-link {
+      background-color: #f6fefc; }
+      html.theme--documenter-dark .message.is-link .message-header {
+        background-color: #1abc9c;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-link .message-body {
+        border-color: #1abc9c;
+        color: #0b2f28; }
+    html.theme--documenter-dark .message.is-info {
+      background-color: #f5fbff; }
+      html.theme--documenter-dark .message.is-info .message-header {
+        background-color: #024c7d;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-info .message-body {
+        border-color: #024c7d;
+        color: #033659; }
+    html.theme--documenter-dark .message.is-success {
+      background-color: #f5fff9; }
+      html.theme--documenter-dark .message.is-success .message-header {
+        background-color: #008438;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-success .message-body {
+        border-color: #008438;
+        color: #023518; }
+    html.theme--documenter-dark .message.is-warning {
+      background-color: #fffcf5; }
+      html.theme--documenter-dark .message.is-warning .message-header {
+        background-color: #ad8100;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-warning .message-body {
+        border-color: #ad8100;
+        color: #3d2e03; }
+    html.theme--documenter-dark .message.is-danger {
+      background-color: #fef6f6; }
+      html.theme--documenter-dark .message.is-danger .message-header {
+        background-color: #9e1b0d;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-danger .message-body {
+        border-color: #9e1b0d;
+        color: #7a170c; }
+  html.theme--documenter-dark .message-header {
+    align-items: center;
+    background-color: #fff;
+    border-radius: 0.4em 0.4em 0 0;
+    color: rgba(0, 0, 0, 0.7);
+    display: flex;
+    font-weight: 700;
+    justify-content: space-between;
+    line-height: 1.25;
+    padding: 0.75em;
+    position: relative; }
+    html.theme--documenter-dark .message-header .delete {
+      flex-grow: 0;
+      flex-shrink: 0;
+      margin-left: 0.75em; }
+    html.theme--documenter-dark .message-header + .message-body {
+      border-width: 0;
+      border-top-left-radius: 0;
+      border-top-right-radius: 0; }
+  html.theme--documenter-dark .message-body {
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    border-style: solid;
+    border-width: 0 0 0 4px;
+    color: #fff;
+    padding: 1em 1.25em; }
+    html.theme--documenter-dark .message-body code,
+    html.theme--documenter-dark .message-body pre {
+      background-color: white; }
+    html.theme--documenter-dark .message-body pre code {
+      background-color: transparent; }
+  html.theme--documenter-dark .modal {
+    align-items: center;
+    display: none;
+    flex-direction: column;
+    justify-content: center;
+    overflow: hidden;
+    position: fixed;
+    z-index: 40; }
+    html.theme--documenter-dark .modal.is-active {
+      display: flex; }
+  html.theme--documenter-dark .modal-background {
+    background-color: rgba(10, 10, 10, 0.86); }
+  html.theme--documenter-dark .modal-content,
+  html.theme--documenter-dark .modal-card {
+    margin: 0 20px;
+    max-height: calc(100vh - 160px);
+    overflow: auto;
+    position: relative;
+    width: 100%; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .modal-content,
+      html.theme--documenter-dark .modal-card {
+        margin: 0 auto;
+        max-height: calc(100vh - 40px);
+        width: 640px; } }
+  html.theme--documenter-dark .modal-close {
+    background: none;
+    height: 40px;
+    position: fixed;
+    right: 20px;
+    top: 20px;
+    width: 40px; }
+  html.theme--documenter-dark .modal-card {
+    display: flex;
+    flex-direction: column;
+    max-height: calc(100vh - 40px);
+    overflow: hidden;
+    -ms-overflow-y: visible; }
+  html.theme--documenter-dark .modal-card-head,
+  html.theme--documenter-dark .modal-card-foot {
+    align-items: center;
+    background-color: #282f2f;
+    display: flex;
+    flex-shrink: 0;
+    justify-content: flex-start;
+    padding: 20px;
+    position: relative; }
+  html.theme--documenter-dark .modal-card-head {
+    border-bottom: 1px solid #5e6d6f;
+    border-top-left-radius: 8px;
+    border-top-right-radius: 8px; }
+  html.theme--documenter-dark .modal-card-title {
+    color: #f2f2f2;
+    flex-grow: 1;
+    flex-shrink: 0;
+    font-size: 1.5rem;
+    line-height: 1; }
+  html.theme--documenter-dark .modal-card-foot {
+    border-bottom-left-radius: 8px;
+    border-bottom-right-radius: 8px;
+    border-top: 1px solid #5e6d6f; }
+    html.theme--documenter-dark .modal-card-foot .button:not(:last-child) {
+      margin-right: 0.5em; }
+  html.theme--documenter-dark .modal-card-body {
+    -webkit-overflow-scrolling: touch;
+    background-color: white;
+    flex-grow: 1;
+    flex-shrink: 1;
+    overflow: auto;
+    padding: 20px; }
+  html.theme--documenter-dark .navbar {
+    background-color: #375a7f;
+    min-height: 4rem;
+    position: relative;
+    z-index: 30; }
+    html.theme--documenter-dark .navbar.is-white {
+      background-color: white;
+      color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link {
+        color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link.is-active {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link::after {
+        border-color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-burger {
+        color: #0a0a0a; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-white .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link {
+          color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link.is-active {
+          background-color: #f2f2f2;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link::after {
+          border-color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #f2f2f2;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-dropdown a.navbar-item.is-active {
+          background-color: white;
+          color: #0a0a0a; } }
+    html.theme--documenter-dark .navbar.is-black {
+      background-color: #0a0a0a;
+      color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link {
+        color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link.is-active {
+        background-color: black;
+        color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link::after {
+        border-color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-burger {
+        color: white; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-black .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link {
+          color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link.is-active {
+          background-color: black;
+          color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link::after {
+          border-color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: black;
+          color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-dropdown a.navbar-item.is-active {
+          background-color: #0a0a0a;
+          color: white; } }
+    html.theme--documenter-dark .navbar.is-light {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link {
+        color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link.is-active {
+        background-color: #dde4e6;
+        color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link::after {
+        border-color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-burger {
+        color: #282f2f; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-light .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link {
+          color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link.is-active {
+          background-color: #dde4e6;
+          color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link::after {
+          border-color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #dde4e6;
+          color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-dropdown a.navbar-item.is-active {
+          background-color: #ecf0f1;
+          color: #282f2f; } }
+    html.theme--documenter-dark .navbar.is-dark, html.theme--documenter-dark .content kbd.navbar {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand > .navbar-item, html.theme--documenter-dark .content kbd.navbar .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link {
+        color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link.is-active,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link.is-active {
+        background-color: #1d2122;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link::after, html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link::after {
+        border-color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-burger, html.theme--documenter-dark .content kbd.navbar .navbar-burger {
+        color: #ecf0f1; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-dark .navbar-start > .navbar-item, html.theme--documenter-dark .content kbd.navbar .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > .navbar-item,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link {
+          color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link.is-active,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link.is-active {
+          background-color: #1d2122;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link::after, html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link::after,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link::after {
+          border-color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown.is-active .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #1d2122;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-dropdown a.navbar-item.is-active {
+          background-color: #282f2f;
+          color: #ecf0f1; } }
+    html.theme--documenter-dark .navbar.is-primary, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink {
+      background-color: #375a7f;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand > .navbar-item, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link.is-active,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link.is-active {
+        background-color: #2f4d6d;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link::after, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-burger, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-primary .navbar-start > .navbar-item, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > .navbar-item,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link.is-active,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link.is-active {
+          background-color: #2f4d6d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link::after, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link::after,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown.is-active .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #2f4d6d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active {
+          background-color: #375a7f;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-link {
+      background-color: #1abc9c;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link.is-active {
+        background-color: #17a689;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-link .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link.is-active {
+          background-color: #17a689;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #17a689;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-dropdown a.navbar-item.is-active {
+          background-color: #1abc9c;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-info {
+      background-color: #024c7d;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link.is-active {
+        background-color: #023d64;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-info .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link.is-active {
+          background-color: #023d64;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #023d64;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-dropdown a.navbar-item.is-active {
+          background-color: #024c7d;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-success {
+      background-color: #008438;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link.is-active {
+        background-color: #006b2d;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-success .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link.is-active {
+          background-color: #006b2d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #006b2d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-dropdown a.navbar-item.is-active {
+          background-color: #008438;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-warning {
+      background-color: #ad8100;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link.is-active {
+        background-color: #946e00;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-warning .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link.is-active {
+          background-color: #946e00;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #946e00;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-dropdown a.navbar-item.is-active {
+          background-color: #ad8100;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-danger {
+      background-color: #9e1b0d;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link.is-active {
+        background-color: #86170b;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-danger .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link.is-active {
+          background-color: #86170b;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #86170b;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-dropdown a.navbar-item.is-active {
+          background-color: #9e1b0d;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar > .container {
+      align-items: stretch;
+      display: flex;
+      min-height: 4rem;
+      width: 100%; }
+    html.theme--documenter-dark .navbar.has-shadow {
+      box-shadow: 0 2px 0 0 #282f2f; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom, html.theme--documenter-dark .navbar.is-fixed-top {
+      left: 0;
+      position: fixed;
+      right: 0;
+      z-index: 30; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom {
+      bottom: 0; }
+      html.theme--documenter-dark .navbar.is-fixed-bottom.has-shadow {
+        box-shadow: 0 -2px 0 0 #282f2f; }
+    html.theme--documenter-dark .navbar.is-fixed-top {
+      top: 0; }
+  html.theme--documenter-dark html.has-navbar-fixed-top,
+  html.theme--documenter-dark body.has-navbar-fixed-top {
+    padding-top: 4rem; }
+  html.theme--documenter-dark html.has-navbar-fixed-bottom,
+  html.theme--documenter-dark body.has-navbar-fixed-bottom {
+    padding-bottom: 4rem; }
+  html.theme--documenter-dark .navbar-brand,
+  html.theme--documenter-dark .navbar-tabs {
+    align-items: stretch;
+    display: flex;
+    flex-shrink: 0;
+    min-height: 4rem; }
+  html.theme--documenter-dark .navbar-brand a.navbar-item:focus, html.theme--documenter-dark .navbar-brand a.navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .navbar-tabs {
+    -webkit-overflow-scrolling: touch;
+    max-width: 100vw;
+    overflow-x: auto;
+    overflow-y: hidden; }
+  html.theme--documenter-dark .navbar-burger {
+    color: #fff;
+    cursor: pointer;
+    display: block;
+    height: 4rem;
+    position: relative;
+    width: 4rem;
+    margin-left: auto; }
+    html.theme--documenter-dark .navbar-burger span {
+      background-color: currentColor;
+      display: block;
+      height: 1px;
+      left: calc(50% - 8px);
+      position: absolute;
+      transform-origin: center;
+      transition-duration: 86ms;
+      transition-property: background-color, opacity, transform;
+      transition-timing-function: ease-out;
+      width: 16px; }
+      html.theme--documenter-dark .navbar-burger span:nth-child(1) {
+        top: calc(50% - 6px); }
+      html.theme--documenter-dark .navbar-burger span:nth-child(2) {
+        top: calc(50% - 1px); }
+      html.theme--documenter-dark .navbar-burger span:nth-child(3) {
+        top: calc(50% + 4px); }
+    html.theme--documenter-dark .navbar-burger:hover {
+      background-color: rgba(0, 0, 0, 0.05); }
+    html.theme--documenter-dark .navbar-burger.is-active span:nth-child(1) {
+      transform: translateY(5px) rotate(45deg); }
+    html.theme--documenter-dark .navbar-burger.is-active span:nth-child(2) {
+      opacity: 0; }
+    html.theme--documenter-dark .navbar-burger.is-active span:nth-child(3) {
+      transform: translateY(-5px) rotate(-45deg); }
+  html.theme--documenter-dark .navbar-menu {
+    display: none; }
+  html.theme--documenter-dark .navbar-item,
+  html.theme--documenter-dark .navbar-link {
+    color: #fff;
+    display: block;
+    line-height: 1.5;
+    padding: 0.5rem 0.75rem;
+    position: relative; }
+    html.theme--documenter-dark .navbar-item .icon:only-child,
+    html.theme--documenter-dark .navbar-link .icon:only-child {
+      margin-left: -0.25rem;
+      margin-right: -0.25rem; }
+  html.theme--documenter-dark a.navbar-item,
+  html.theme--documenter-dark .navbar-link {
+    cursor: pointer; }
+    html.theme--documenter-dark a.navbar-item:focus, html.theme--documenter-dark a.navbar-item:focus-within, html.theme--documenter-dark a.navbar-item:hover, html.theme--documenter-dark a.navbar-item.is-active,
+    html.theme--documenter-dark .navbar-link:focus,
+    html.theme--documenter-dark .navbar-link:focus-within,
+    html.theme--documenter-dark .navbar-link:hover,
+    html.theme--documenter-dark .navbar-link.is-active {
+      background-color: transparent;
+      color: #1abc9c; }
+  html.theme--documenter-dark .navbar-item {
+    display: block;
+    flex-grow: 0;
+    flex-shrink: 0; }
+    html.theme--documenter-dark .navbar-item img {
+      max-height: 1.75rem; }
+    html.theme--documenter-dark .navbar-item.has-dropdown {
+      padding: 0; }
+    html.theme--documenter-dark .navbar-item.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .navbar-item.is-tab {
+      border-bottom: 1px solid transparent;
+      min-height: 4rem;
+      padding-bottom: calc(0.5rem - 1px); }
+      html.theme--documenter-dark .navbar-item.is-tab:focus, html.theme--documenter-dark .navbar-item.is-tab:hover {
+        background-color: transparent;
+        border-bottom-color: #1abc9c; }
+      html.theme--documenter-dark .navbar-item.is-tab.is-active {
+        background-color: transparent;
+        border-bottom-color: #1abc9c;
+        border-bottom-style: solid;
+        border-bottom-width: 3px;
+        color: #1abc9c;
+        padding-bottom: calc(0.5rem - 3px); }
+  html.theme--documenter-dark .navbar-content {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  html.theme--documenter-dark .navbar-link:not(.is-arrowless) {
+    padding-right: 2.5em; }
+    html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after {
+      border-color: #fff;
+      margin-top: -0.375em;
+      right: 1.125em; }
+  html.theme--documenter-dark .navbar-dropdown {
+    font-size: 0.875rem;
+    padding-bottom: 0.5rem;
+    padding-top: 0.5rem; }
+    html.theme--documenter-dark .navbar-dropdown .navbar-item {
+      padding-left: 1.5rem;
+      padding-right: 1.5rem; }
+  html.theme--documenter-dark .navbar-divider {
+    background-color: rgba(0, 0, 0, 0.2);
+    border: none;
+    display: none;
+    height: 2px;
+    margin: 0.5rem 0; }
+  @media screen and (max-width: 1055px) {
+    html.theme--documenter-dark .navbar > .container {
+      display: block; }
+    html.theme--documenter-dark .navbar-brand .navbar-item,
+    html.theme--documenter-dark .navbar-tabs .navbar-item {
+      align-items: center;
+      display: flex; }
+    html.theme--documenter-dark .navbar-link::after {
+      display: none; }
+    html.theme--documenter-dark .navbar-menu {
+      background-color: #375a7f;
+      box-shadow: 0 8px 16px rgba(10, 10, 10, 0.1);
+      padding: 0.5rem 0; }
+      html.theme--documenter-dark .navbar-menu.is-active {
+        display: block; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-touch, html.theme--documenter-dark .navbar.is-fixed-top-touch {
+      left: 0;
+      position: fixed;
+      right: 0;
+      z-index: 30; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-touch {
+      bottom: 0; }
+      html.theme--documenter-dark .navbar.is-fixed-bottom-touch.has-shadow {
+        box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+    html.theme--documenter-dark .navbar.is-fixed-top-touch {
+      top: 0; }
+    html.theme--documenter-dark .navbar.is-fixed-top .navbar-menu, html.theme--documenter-dark .navbar.is-fixed-top-touch .navbar-menu {
+      -webkit-overflow-scrolling: touch;
+      max-height: calc(100vh - 4rem);
+      overflow: auto; }
+    html.theme--documenter-dark html.has-navbar-fixed-top-touch,
+    html.theme--documenter-dark body.has-navbar-fixed-top-touch {
+      padding-top: 4rem; }
+    html.theme--documenter-dark html.has-navbar-fixed-bottom-touch,
+    html.theme--documenter-dark body.has-navbar-fixed-bottom-touch {
+      padding-bottom: 4rem; } }
+  @media screen and (min-width: 1056px) {
+    html.theme--documenter-dark .navbar,
+    html.theme--documenter-dark .navbar-menu,
+    html.theme--documenter-dark .navbar-start,
+    html.theme--documenter-dark .navbar-end {
+      align-items: stretch;
+      display: flex; }
+    html.theme--documenter-dark .navbar {
+      min-height: 4rem; }
+      html.theme--documenter-dark .navbar.is-spaced {
+        padding: 1rem 2rem; }
+        html.theme--documenter-dark .navbar.is-spaced .navbar-start,
+        html.theme--documenter-dark .navbar.is-spaced .navbar-end {
+          align-items: center; }
+        html.theme--documenter-dark .navbar.is-spaced a.navbar-item,
+        html.theme--documenter-dark .navbar.is-spaced .navbar-link {
+          border-radius: 0.4em; }
+      html.theme--documenter-dark .navbar.is-transparent a.navbar-item:focus, html.theme--documenter-dark .navbar.is-transparent a.navbar-item:hover, html.theme--documenter-dark .navbar.is-transparent a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-transparent .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-transparent .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-transparent .navbar-link.is-active {
+        background-color: transparent !important; }
+      html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-active .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus-within .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:hover .navbar-link {
+        background-color: transparent !important; }
+      html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item:focus, html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item:hover {
+        background-color: transparent;
+        color: #dbdee0; }
+      html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item.is-active {
+        background-color: transparent;
+        color: #1abc9c; }
+    html.theme--documenter-dark .navbar-burger {
+      display: none; }
+    html.theme--documenter-dark .navbar-item,
+    html.theme--documenter-dark .navbar-link {
+      align-items: center;
+      display: flex; }
+    html.theme--documenter-dark .navbar-item {
+      display: flex; }
+      html.theme--documenter-dark .navbar-item.has-dropdown {
+        align-items: stretch; }
+      html.theme--documenter-dark .navbar-item.has-dropdown-up .navbar-link::after {
+        transform: rotate(135deg) translate(0.25em, -0.25em); }
+      html.theme--documenter-dark .navbar-item.has-dropdown-up .navbar-dropdown {
+        border-bottom: 1px solid rgba(0, 0, 0, 0.2);
+        border-radius: 8px 8px 0 0;
+        border-top: none;
+        bottom: 100%;
+        box-shadow: 0 -8px 8px rgba(10, 10, 10, 0.1);
+        top: auto; }
+      html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown {
+        display: block; }
+        .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed {
+          opacity: 1;
+          pointer-events: auto;
+          transform: translateY(0); }
+    html.theme--documenter-dark .navbar-menu {
+      flex-grow: 1;
+      flex-shrink: 0; }
+    html.theme--documenter-dark .navbar-start {
+      justify-content: flex-start;
+      margin-right: auto; }
+    html.theme--documenter-dark .navbar-end {
+      justify-content: flex-end;
+      margin-left: auto; }
+    html.theme--documenter-dark .navbar-dropdown {
+      background-color: #375a7f;
+      border-bottom-left-radius: 8px;
+      border-bottom-right-radius: 8px;
+      border-top: 1px solid rgba(0, 0, 0, 0.2);
+      box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1);
+      display: none;
+      font-size: 0.875rem;
+      left: 0;
+      min-width: 100%;
+      position: absolute;
+      top: 100%;
+      z-index: 20; }
+      html.theme--documenter-dark .navbar-dropdown .navbar-item {
+        padding: 0.375rem 1rem;
+        white-space: nowrap; }
+      html.theme--documenter-dark .navbar-dropdown a.navbar-item {
+        padding-right: 3rem; }
+        html.theme--documenter-dark .navbar-dropdown a.navbar-item:focus, html.theme--documenter-dark .navbar-dropdown a.navbar-item:hover {
+          background-color: transparent;
+          color: #dbdee0; }
+        html.theme--documenter-dark .navbar-dropdown a.navbar-item.is-active {
+          background-color: transparent;
+          color: #1abc9c; }
+      .navbar.is-spaced html.theme--documenter-dark .navbar-dropdown, html.theme--documenter-dark .navbar-dropdown.is-boxed {
+        border-radius: 8px;
+        border-top: none;
+        box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+        display: block;
+        opacity: 0;
+        pointer-events: none;
+        top: calc(100% + (-4px));
+        transform: translateY(-5px);
+        transition-duration: 86ms;
+        transition-property: opacity, transform; }
+      html.theme--documenter-dark .navbar-dropdown.is-right {
+        left: auto;
+        right: 0; }
+    html.theme--documenter-dark .navbar-divider {
+      display: block; }
+    html.theme--documenter-dark .navbar > .container .navbar-brand,
+    html.theme--documenter-dark .container > .navbar .navbar-brand {
+      margin-left: -.75rem; }
+    html.theme--documenter-dark .navbar > .container .navbar-menu,
+    html.theme--documenter-dark .container > .navbar .navbar-menu {
+      margin-right: -.75rem; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-desktop, html.theme--documenter-dark .navbar.is-fixed-top-desktop {
+      left: 0;
+      position: fixed;
+      right: 0;
+      z-index: 30; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-desktop {
+      bottom: 0; }
+      html.theme--documenter-dark .navbar.is-fixed-bottom-desktop.has-shadow {
+        box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+    html.theme--documenter-dark .navbar.is-fixed-top-desktop {
+      top: 0; }
+    html.theme--documenter-dark html.has-navbar-fixed-top-desktop,
+    html.theme--documenter-dark body.has-navbar-fixed-top-desktop {
+      padding-top: 4rem; }
+    html.theme--documenter-dark html.has-navbar-fixed-bottom-desktop,
+    html.theme--documenter-dark body.has-navbar-fixed-bottom-desktop {
+      padding-bottom: 4rem; }
+    html.theme--documenter-dark html.has-spaced-navbar-fixed-top,
+    html.theme--documenter-dark body.has-spaced-navbar-fixed-top {
+      padding-top: 6rem; }
+    html.theme--documenter-dark html.has-spaced-navbar-fixed-bottom,
+    html.theme--documenter-dark body.has-spaced-navbar-fixed-bottom {
+      padding-bottom: 6rem; }
+    html.theme--documenter-dark a.navbar-item.is-active,
+    html.theme--documenter-dark .navbar-link.is-active {
+      color: #1abc9c; }
+    html.theme--documenter-dark a.navbar-item.is-active:not(:focus):not(:hover),
+    html.theme--documenter-dark .navbar-link.is-active:not(:focus):not(:hover) {
+      background-color: transparent; }
+    html.theme--documenter-dark .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .navbar-item.has-dropdown:hover .navbar-link, html.theme--documenter-dark .navbar-item.has-dropdown.is-active .navbar-link {
+      background-color: transparent; } }
+  html.theme--documenter-dark .hero.is-fullheight-with-navbar {
+    min-height: calc(100vh - 4rem); }
+  html.theme--documenter-dark .pagination {
+    font-size: 15px;
+    margin: -0.25rem; }
+    html.theme--documenter-dark .pagination.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .pagination.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .pagination.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .pagination.is-rounded .pagination-previous, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-previous,
+    html.theme--documenter-dark .pagination.is-rounded .pagination-next,
+    html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-next {
+      padding-left: 1em;
+      padding-right: 1em;
+      border-radius: 290486px; }
+    html.theme--documenter-dark .pagination.is-rounded .pagination-link, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-link {
+      border-radius: 290486px; }
+  html.theme--documenter-dark .pagination,
+  html.theme--documenter-dark .pagination-list {
+    align-items: center;
+    display: flex;
+    justify-content: center;
+    text-align: center; }
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark .pagination-ellipsis {
+    font-size: 1em;
+    justify-content: center;
+    margin: 0.25rem;
+    padding-left: 0.5em;
+    padding-right: 0.5em;
+    text-align: center; }
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-link {
+    border-color: #5e6d6f;
+    color: #1abc9c;
+    min-width: 2.25em; }
+    html.theme--documenter-dark .pagination-previous:hover,
+    html.theme--documenter-dark .pagination-next:hover,
+    html.theme--documenter-dark .pagination-link:hover {
+      border-color: #8c9b9d;
+      color: #1dd2af; }
+    html.theme--documenter-dark .pagination-previous:focus,
+    html.theme--documenter-dark .pagination-next:focus,
+    html.theme--documenter-dark .pagination-link:focus {
+      border-color: #8c9b9d; }
+    html.theme--documenter-dark .pagination-previous:active,
+    html.theme--documenter-dark .pagination-next:active,
+    html.theme--documenter-dark .pagination-link:active {
+      box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2); }
+    html.theme--documenter-dark .pagination-previous[disabled],
+    html.theme--documenter-dark .pagination-next[disabled],
+    html.theme--documenter-dark .pagination-link[disabled] {
+      background-color: #dbdee0;
+      border-color: #dbdee0;
+      box-shadow: none;
+      color: #5e6d6f;
+      opacity: 0.5; }
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .pagination-next {
+    padding-left: 0.75em;
+    padding-right: 0.75em;
+    white-space: nowrap; }
+  html.theme--documenter-dark .pagination-link.is-current {
+    background-color: #1abc9c;
+    border-color: #1abc9c;
+    color: #fff; }
+  html.theme--documenter-dark .pagination-ellipsis {
+    color: #8c9b9d;
+    pointer-events: none; }
+  html.theme--documenter-dark .pagination-list {
+    flex-wrap: wrap; }
+  @media screen and (max-width: 768px) {
+    html.theme--documenter-dark .pagination {
+      flex-wrap: wrap; }
+    html.theme--documenter-dark .pagination-previous,
+    html.theme--documenter-dark .pagination-next {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .pagination-list li {
+      flex-grow: 1;
+      flex-shrink: 1; } }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .pagination-list {
+      flex-grow: 1;
+      flex-shrink: 1;
+      justify-content: flex-start;
+      order: 1; }
+    html.theme--documenter-dark .pagination-previous {
+      order: 2; }
+    html.theme--documenter-dark .pagination-next {
+      order: 3; }
+    html.theme--documenter-dark .pagination {
+      justify-content: space-between; }
+      html.theme--documenter-dark .pagination.is-centered .pagination-previous {
+        order: 1; }
+      html.theme--documenter-dark .pagination.is-centered .pagination-list {
+        justify-content: center;
+        order: 2; }
+      html.theme--documenter-dark .pagination.is-centered .pagination-next {
+        order: 3; }
+      html.theme--documenter-dark .pagination.is-right .pagination-previous {
+        order: 1; }
+      html.theme--documenter-dark .pagination.is-right .pagination-next {
+        order: 2; }
+      html.theme--documenter-dark .pagination.is-right .pagination-list {
+        justify-content: flex-end;
+        order: 3; } }
+  html.theme--documenter-dark .panel {
+    font-size: 15px; }
+    html.theme--documenter-dark .panel:not(:last-child) {
+      margin-bottom: 1.5rem; }
+  html.theme--documenter-dark .panel-heading,
+  html.theme--documenter-dark .panel-tabs,
+  html.theme--documenter-dark .panel-block {
+    border-bottom: 1px solid #5e6d6f;
+    border-left: 1px solid #5e6d6f;
+    border-right: 1px solid #5e6d6f; }
+    html.theme--documenter-dark .panel-heading:first-child,
+    html.theme--documenter-dark .panel-tabs:first-child,
+    html.theme--documenter-dark .panel-block:first-child {
+      border-top: 1px solid #5e6d6f; }
+  html.theme--documenter-dark .panel-heading {
+    background-color: #282f2f;
+    border-radius: 0.4em 0.4em 0 0;
+    color: #f2f2f2;
+    font-size: 1.25em;
+    font-weight: 300;
+    line-height: 1.25;
+    padding: 0.5em 0.75em; }
+  html.theme--documenter-dark .panel-tabs {
+    align-items: flex-end;
+    display: flex;
+    font-size: 0.875em;
+    justify-content: center; }
+    html.theme--documenter-dark .panel-tabs a {
+      border-bottom: 1px solid #5e6d6f;
+      margin-bottom: -1px;
+      padding: 0.5em; }
+      html.theme--documenter-dark .panel-tabs a.is-active {
+        border-bottom-color: #343c3d;
+        color: #17a689; }
+  html.theme--documenter-dark .panel-list a {
+    color: #fff; }
+    html.theme--documenter-dark .panel-list a:hover {
+      color: #1abc9c; }
+  html.theme--documenter-dark .panel-block {
+    align-items: center;
+    color: #f2f2f2;
+    display: flex;
+    justify-content: flex-start;
+    padding: 0.5em 0.75em; }
+    html.theme--documenter-dark .panel-block input[type="checkbox"] {
+      margin-right: 0.75em; }
+    html.theme--documenter-dark .panel-block > .control {
+      flex-grow: 1;
+      flex-shrink: 1;
+      width: 100%; }
+    html.theme--documenter-dark .panel-block.is-wrapped {
+      flex-wrap: wrap; }
+    html.theme--documenter-dark .panel-block.is-active {
+      border-left-color: #1abc9c;
+      color: #17a689; }
+      html.theme--documenter-dark .panel-block.is-active .panel-icon {
+        color: #1abc9c; }
+  html.theme--documenter-dark a.panel-block,
+  html.theme--documenter-dark label.panel-block {
+    cursor: pointer; }
+    html.theme--documenter-dark a.panel-block:hover,
+    html.theme--documenter-dark label.panel-block:hover {
+      background-color: #282f2f; }
+  html.theme--documenter-dark .panel-icon {
+    display: inline-block;
+    font-size: 14px;
+    height: 1em;
+    line-height: 1em;
+    text-align: center;
+    vertical-align: top;
+    width: 1em;
+    color: white;
+    margin-right: 0.75em; }
+    html.theme--documenter-dark .panel-icon .fa {
+      font-size: inherit;
+      line-height: inherit; }
+  html.theme--documenter-dark .tabs {
+    -webkit-overflow-scrolling: touch;
+    align-items: stretch;
+    display: flex;
+    font-size: 15px;
+    justify-content: space-between;
+    overflow: hidden;
+    overflow-x: auto;
+    white-space: nowrap; }
+    html.theme--documenter-dark .tabs a {
+      align-items: center;
+      border-bottom-color: #5e6d6f;
+      border-bottom-style: solid;
+      border-bottom-width: 1px;
+      color: #fff;
+      display: flex;
+      justify-content: center;
+      margin-bottom: -1px;
+      padding: 0.5em 1em;
+      vertical-align: top; }
+      html.theme--documenter-dark .tabs a:hover {
+        border-bottom-color: #f2f2f2;
+        color: #f2f2f2; }
+    html.theme--documenter-dark .tabs li {
+      display: block; }
+      html.theme--documenter-dark .tabs li.is-active a {
+        border-bottom-color: #1abc9c;
+        color: #1abc9c; }
+    html.theme--documenter-dark .tabs ul {
+      align-items: center;
+      border-bottom-color: #5e6d6f;
+      border-bottom-style: solid;
+      border-bottom-width: 1px;
+      display: flex;
+      flex-grow: 1;
+      flex-shrink: 0;
+      justify-content: flex-start; }
+      html.theme--documenter-dark .tabs ul.is-left {
+        padding-right: 0.75em; }
+      html.theme--documenter-dark .tabs ul.is-center {
+        flex: none;
+        justify-content: center;
+        padding-left: 0.75em;
+        padding-right: 0.75em; }
+      html.theme--documenter-dark .tabs ul.is-right {
+        justify-content: flex-end;
+        padding-left: 0.75em; }
+    html.theme--documenter-dark .tabs .icon:first-child {
+      margin-right: 0.5em; }
+    html.theme--documenter-dark .tabs .icon:last-child {
+      margin-left: 0.5em; }
+    html.theme--documenter-dark .tabs.is-centered ul {
+      justify-content: center; }
+    html.theme--documenter-dark .tabs.is-right ul {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .tabs.is-boxed a {
+      border: 1px solid transparent;
+      border-radius: 0.4em 0.4em 0 0; }
+      html.theme--documenter-dark .tabs.is-boxed a:hover {
+        background-color: #282f2f;
+        border-bottom-color: #5e6d6f; }
+    html.theme--documenter-dark .tabs.is-boxed li.is-active a {
+      background-color: white;
+      border-color: #5e6d6f;
+      border-bottom-color: transparent !important; }
+    html.theme--documenter-dark .tabs.is-fullwidth li {
+      flex-grow: 1;
+      flex-shrink: 0; }
+    html.theme--documenter-dark .tabs.is-toggle a {
+      border-color: #5e6d6f;
+      border-style: solid;
+      border-width: 1px;
+      margin-bottom: 0;
+      position: relative; }
+      html.theme--documenter-dark .tabs.is-toggle a:hover {
+        background-color: #282f2f;
+        border-color: #8c9b9d;
+        z-index: 2; }
+    html.theme--documenter-dark .tabs.is-toggle li + li {
+      margin-left: -1px; }
+    html.theme--documenter-dark .tabs.is-toggle li:first-child a {
+      border-radius: 0.4em 0 0 0.4em; }
+    html.theme--documenter-dark .tabs.is-toggle li:last-child a {
+      border-radius: 0 0.4em 0.4em 0; }
+    html.theme--documenter-dark .tabs.is-toggle li.is-active a {
+      background-color: #1abc9c;
+      border-color: #1abc9c;
+      color: #fff;
+      z-index: 1; }
+    html.theme--documenter-dark .tabs.is-toggle ul {
+      border-bottom: none; }
+    html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:first-child a {
+      border-bottom-left-radius: 290486px;
+      border-top-left-radius: 290486px;
+      padding-left: 1.25em; }
+    html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:last-child a {
+      border-bottom-right-radius: 290486px;
+      border-top-right-radius: 290486px;
+      padding-right: 1.25em; }
+    html.theme--documenter-dark .tabs.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.tabs {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .tabs.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .tabs.is-large {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .column {
+    display: block;
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 1;
+    padding: 0.75rem; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-narrow {
+      flex: none; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-full {
+      flex: none;
+      width: 100%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-three-quarters {
+      flex: none;
+      width: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-two-thirds {
+      flex: none;
+      width: 66.6666%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-half {
+      flex: none;
+      width: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-one-third {
+      flex: none;
+      width: 33.3333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-one-quarter {
+      flex: none;
+      width: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-one-fifth {
+      flex: none;
+      width: 20%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-two-fifths {
+      flex: none;
+      width: 40%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-three-fifths {
+      flex: none;
+      width: 60%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-four-fifths {
+      flex: none;
+      width: 80%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-three-quarters {
+      margin-left: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-two-thirds {
+      margin-left: 66.6666%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-half {
+      margin-left: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-third {
+      margin-left: 33.3333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-quarter {
+      margin-left: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-fifth {
+      margin-left: 20%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-two-fifths {
+      margin-left: 40%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-three-fifths {
+      margin-left: 60%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-four-fifths {
+      margin-left: 80%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-0 {
+      flex: none;
+      width: 0%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-0 {
+      margin-left: 0%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-1 {
+      flex: none;
+      width: 8.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-1 {
+      margin-left: 8.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-2 {
+      flex: none;
+      width: 16.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-2 {
+      margin-left: 16.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-3 {
+      flex: none;
+      width: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-3 {
+      margin-left: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-4 {
+      flex: none;
+      width: 33.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-4 {
+      margin-left: 33.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-5 {
+      flex: none;
+      width: 41.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-5 {
+      margin-left: 41.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-6 {
+      flex: none;
+      width: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-6 {
+      margin-left: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-7 {
+      flex: none;
+      width: 58.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-7 {
+      margin-left: 58.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-8 {
+      flex: none;
+      width: 66.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-8 {
+      margin-left: 66.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-9 {
+      flex: none;
+      width: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-9 {
+      margin-left: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-10 {
+      flex: none;
+      width: 83.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-10 {
+      margin-left: 83.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-11 {
+      flex: none;
+      width: 91.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-11 {
+      margin-left: 91.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-12 {
+      flex: none;
+      width: 100%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-12 {
+      margin-left: 100%; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .column.is-narrow-mobile {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-mobile {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-mobile {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-mobile {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-mobile {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-mobile {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-mobile {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-mobile {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-mobile {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-mobile {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-mobile {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-mobile {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-mobile {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-mobile {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-mobile {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-mobile {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-mobile {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-mobile {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-mobile {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-mobile {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-mobile {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-mobile {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-mobile {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-mobile {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-mobile {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-mobile {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-mobile {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-mobile {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-mobile {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-mobile {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-mobile {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-mobile {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-mobile {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-mobile {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-mobile {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-mobile {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-mobile {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-mobile {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-mobile {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-mobile {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-mobile {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-mobile {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-mobile {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-mobile {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-mobile {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-mobile {
+        margin-left: 100%; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .column.is-narrow, html.theme--documenter-dark .column.is-narrow-tablet {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full, html.theme--documenter-dark .column.is-full-tablet {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters, html.theme--documenter-dark .column.is-three-quarters-tablet {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds, html.theme--documenter-dark .column.is-two-thirds-tablet {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half, html.theme--documenter-dark .column.is-half-tablet {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third, html.theme--documenter-dark .column.is-one-third-tablet {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter, html.theme--documenter-dark .column.is-one-quarter-tablet {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth, html.theme--documenter-dark .column.is-one-fifth-tablet {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths, html.theme--documenter-dark .column.is-two-fifths-tablet {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths, html.theme--documenter-dark .column.is-three-fifths-tablet {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths, html.theme--documenter-dark .column.is-four-fifths-tablet {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters, html.theme--documenter-dark .column.is-offset-three-quarters-tablet {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds, html.theme--documenter-dark .column.is-offset-two-thirds-tablet {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half, html.theme--documenter-dark .column.is-offset-half-tablet {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third, html.theme--documenter-dark .column.is-offset-one-third-tablet {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter, html.theme--documenter-dark .column.is-offset-one-quarter-tablet {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth, html.theme--documenter-dark .column.is-offset-one-fifth-tablet {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths, html.theme--documenter-dark .column.is-offset-two-fifths-tablet {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths, html.theme--documenter-dark .column.is-offset-three-fifths-tablet {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths, html.theme--documenter-dark .column.is-offset-four-fifths-tablet {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0, html.theme--documenter-dark .column.is-0-tablet {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0, html.theme--documenter-dark .column.is-offset-0-tablet {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1, html.theme--documenter-dark .column.is-1-tablet {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1, html.theme--documenter-dark .column.is-offset-1-tablet {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2, html.theme--documenter-dark .column.is-2-tablet {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2, html.theme--documenter-dark .column.is-offset-2-tablet {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3, html.theme--documenter-dark .column.is-3-tablet {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3, html.theme--documenter-dark .column.is-offset-3-tablet {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4, html.theme--documenter-dark .column.is-4-tablet {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4, html.theme--documenter-dark .column.is-offset-4-tablet {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5, html.theme--documenter-dark .column.is-5-tablet {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5, html.theme--documenter-dark .column.is-offset-5-tablet {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6, html.theme--documenter-dark .column.is-6-tablet {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6, html.theme--documenter-dark .column.is-offset-6-tablet {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7, html.theme--documenter-dark .column.is-7-tablet {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7, html.theme--documenter-dark .column.is-offset-7-tablet {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8, html.theme--documenter-dark .column.is-8-tablet {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8, html.theme--documenter-dark .column.is-offset-8-tablet {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9, html.theme--documenter-dark .column.is-9-tablet {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9, html.theme--documenter-dark .column.is-offset-9-tablet {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10, html.theme--documenter-dark .column.is-10-tablet {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10, html.theme--documenter-dark .column.is-offset-10-tablet {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11, html.theme--documenter-dark .column.is-11-tablet {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11, html.theme--documenter-dark .column.is-offset-11-tablet {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12, html.theme--documenter-dark .column.is-12-tablet {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12, html.theme--documenter-dark .column.is-offset-12-tablet {
+        margin-left: 100%; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .column.is-narrow-touch {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-touch {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-touch {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-touch {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-touch {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-touch {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-touch {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-touch {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-touch {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-touch {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-touch {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-touch {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-touch {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-touch {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-touch {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-touch {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-touch {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-touch {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-touch {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-touch {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-touch {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-touch {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-touch {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-touch {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-touch {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-touch {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-touch {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-touch {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-touch {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-touch {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-touch {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-touch {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-touch {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-touch {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-touch {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-touch {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-touch {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-touch {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-touch {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-touch {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-touch {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-touch {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-touch {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-touch {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-touch {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-touch {
+        margin-left: 100%; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .column.is-narrow-desktop {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-desktop {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-desktop {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-desktop {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-desktop {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-desktop {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-desktop {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-desktop {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-desktop {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-desktop {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-desktop {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-desktop {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-desktop {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-desktop {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-desktop {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-desktop {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-desktop {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-desktop {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-desktop {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-desktop {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-desktop {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-desktop {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-desktop {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-desktop {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-desktop {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-desktop {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-desktop {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-desktop {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-desktop {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-desktop {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-desktop {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-desktop {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-desktop {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-desktop {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-desktop {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-desktop {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-desktop {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-desktop {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-desktop {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-desktop {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-desktop {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-desktop {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-desktop {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-desktop {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-desktop {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-desktop {
+        margin-left: 100%; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .column.is-narrow-widescreen {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-widescreen {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-widescreen {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-widescreen {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-widescreen {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-widescreen {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-widescreen {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-widescreen {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-widescreen {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-widescreen {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-widescreen {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-widescreen {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-widescreen {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-widescreen {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-widescreen {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-widescreen {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-widescreen {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-widescreen {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-widescreen {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-widescreen {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-widescreen {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-widescreen {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-widescreen {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-widescreen {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-widescreen {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-widescreen {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-widescreen {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-widescreen {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-widescreen {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-widescreen {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-widescreen {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-widescreen {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-widescreen {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-widescreen {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-widescreen {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-widescreen {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-widescreen {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-widescreen {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-widescreen {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-widescreen {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-widescreen {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-widescreen {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-widescreen {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-widescreen {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-widescreen {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-widescreen {
+        margin-left: 100%; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .column.is-narrow-fullhd {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-fullhd {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-fullhd {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-fullhd {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-fullhd {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-fullhd {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-fullhd {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-fullhd {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-fullhd {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-fullhd {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-fullhd {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-fullhd {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-fullhd {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-fullhd {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-fullhd {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-fullhd {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-fullhd {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-fullhd {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-fullhd {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-fullhd {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-fullhd {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-fullhd {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-fullhd {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-fullhd {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-fullhd {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-fullhd {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-fullhd {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-fullhd {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-fullhd {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-fullhd {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-fullhd {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-fullhd {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-fullhd {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-fullhd {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-fullhd {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-fullhd {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-fullhd {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-fullhd {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-fullhd {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-fullhd {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-fullhd {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-fullhd {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-fullhd {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-fullhd {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-fullhd {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-fullhd {
+        margin-left: 100%; } }
+  html.theme--documenter-dark .columns {
+    margin-left: -0.75rem;
+    margin-right: -0.75rem;
+    margin-top: -0.75rem; }
+    html.theme--documenter-dark .columns:last-child {
+      margin-bottom: -0.75rem; }
+    html.theme--documenter-dark .columns:not(:last-child) {
+      margin-bottom: calc(1.5rem - 0.75rem); }
+    html.theme--documenter-dark .columns.is-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .columns.is-gapless {
+      margin-left: 0;
+      margin-right: 0;
+      margin-top: 0; }
+      html.theme--documenter-dark .columns.is-gapless > .column {
+        margin: 0;
+        padding: 0 !important; }
+      html.theme--documenter-dark .columns.is-gapless:not(:last-child) {
+        margin-bottom: 1.5rem; }
+      html.theme--documenter-dark .columns.is-gapless:last-child {
+        margin-bottom: 0; }
+    html.theme--documenter-dark .columns.is-mobile {
+      display: flex; }
+    html.theme--documenter-dark .columns.is-multiline {
+      flex-wrap: wrap; }
+    html.theme--documenter-dark .columns.is-vcentered {
+      align-items: center; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns:not(.is-desktop) {
+        display: flex; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-desktop {
+        display: flex; } }
+  html.theme--documenter-dark .columns.is-variable {
+    --columnGap: 0.75rem;
+    margin-left: calc(-1 * var(--columnGap));
+    margin-right: calc(-1 * var(--columnGap)); }
+    html.theme--documenter-dark .columns.is-variable .column {
+      padding-left: var(--columnGap);
+      padding-right: var(--columnGap); }
+    html.theme--documenter-dark .columns.is-variable.is-0 {
+      --columnGap: 0rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-mobile {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-0-tablet {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-tablet-only {
+        --columnGap: 0rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-touch {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-desktop {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-desktop-only {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-widescreen {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-widescreen-only {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-fullhd {
+        --columnGap: 0rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-1 {
+      --columnGap: 0.25rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-mobile {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-1-tablet {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-tablet-only {
+        --columnGap: 0.25rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-touch {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-desktop {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-desktop-only {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-widescreen {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-widescreen-only {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-fullhd {
+        --columnGap: 0.25rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-2 {
+      --columnGap: 0.5rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-mobile {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-2-tablet {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-tablet-only {
+        --columnGap: 0.5rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-touch {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-desktop {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-desktop-only {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-widescreen {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-widescreen-only {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-fullhd {
+        --columnGap: 0.5rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-3 {
+      --columnGap: 0.75rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-mobile {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-3-tablet {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-tablet-only {
+        --columnGap: 0.75rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-touch {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-desktop {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-desktop-only {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-widescreen {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-widescreen-only {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-fullhd {
+        --columnGap: 0.75rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-4 {
+      --columnGap: 1rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-mobile {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-4-tablet {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-tablet-only {
+        --columnGap: 1rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-touch {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-desktop {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-desktop-only {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-widescreen {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-widescreen-only {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-fullhd {
+        --columnGap: 1rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-5 {
+      --columnGap: 1.25rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-mobile {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-5-tablet {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-tablet-only {
+        --columnGap: 1.25rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-touch {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-desktop {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-desktop-only {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-widescreen {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-widescreen-only {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-fullhd {
+        --columnGap: 1.25rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-6 {
+      --columnGap: 1.5rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-mobile {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-6-tablet {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-tablet-only {
+        --columnGap: 1.5rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-touch {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-desktop {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-desktop-only {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-widescreen {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-widescreen-only {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-fullhd {
+        --columnGap: 1.5rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-7 {
+      --columnGap: 1.75rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-mobile {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-7-tablet {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-tablet-only {
+        --columnGap: 1.75rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-touch {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-desktop {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-desktop-only {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-widescreen {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-widescreen-only {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-fullhd {
+        --columnGap: 1.75rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-8 {
+      --columnGap: 2rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-mobile {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-8-tablet {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-tablet-only {
+        --columnGap: 2rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-touch {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-desktop {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-desktop-only {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-widescreen {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-widescreen-only {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-fullhd {
+        --columnGap: 2rem; } }
+  html.theme--documenter-dark .tile {
+    align-items: stretch;
+    display: block;
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 1;
+    min-height: min-content; }
+    html.theme--documenter-dark .tile.is-ancestor {
+      margin-left: -0.75rem;
+      margin-right: -0.75rem;
+      margin-top: -0.75rem; }
+      html.theme--documenter-dark .tile.is-ancestor:last-child {
+        margin-bottom: -0.75rem; }
+      html.theme--documenter-dark .tile.is-ancestor:not(:last-child) {
+        margin-bottom: 0.75rem; }
+    html.theme--documenter-dark .tile.is-child {
+      margin: 0 !important; }
+    html.theme--documenter-dark .tile.is-parent {
+      padding: 0.75rem; }
+    html.theme--documenter-dark .tile.is-vertical {
+      flex-direction: column; }
+      html.theme--documenter-dark .tile.is-vertical > .tile.is-child:not(:last-child) {
+        margin-bottom: 1.5rem !important; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .tile:not(.is-child) {
+        display: flex; }
+      html.theme--documenter-dark .tile.is-1 {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .tile.is-2 {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .tile.is-3 {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .tile.is-4 {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .tile.is-5 {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .tile.is-6 {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .tile.is-7 {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .tile.is-8 {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .tile.is-9 {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .tile.is-10 {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .tile.is-11 {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .tile.is-12 {
+        flex: none;
+        width: 100%; } }
+  html.theme--documenter-dark .hero {
+    align-items: stretch;
+    display: flex;
+    flex-direction: column;
+    justify-content: space-between; }
+    html.theme--documenter-dark .hero .navbar {
+      background: none; }
+    html.theme--documenter-dark .hero .tabs ul {
+      border-bottom: none; }
+    html.theme--documenter-dark .hero.is-white {
+      background-color: white;
+      color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-white a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-white strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-white .title {
+        color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-white .subtitle {
+        color: rgba(10, 10, 10, 0.9); }
+        html.theme--documenter-dark .hero.is-white .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-white .subtitle strong {
+          color: #0a0a0a; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-white .navbar-menu {
+          background-color: white; } }
+      html.theme--documenter-dark .hero.is-white .navbar-item,
+      html.theme--documenter-dark .hero.is-white .navbar-link {
+        color: rgba(10, 10, 10, 0.7); }
+      html.theme--documenter-dark .hero.is-white a.navbar-item:hover, html.theme--documenter-dark .hero.is-white a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-white .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-white .navbar-link.is-active {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-white .tabs a {
+        color: #0a0a0a;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-white .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-white .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-white .tabs.is-boxed a, html.theme--documenter-dark .hero.is-white .tabs.is-toggle a {
+        color: #0a0a0a; }
+        html.theme--documenter-dark .hero.is-white .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-white .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-white .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-white .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-white .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-white .tabs.is-toggle li.is-active a:hover {
+        background-color: #0a0a0a;
+        border-color: #0a0a0a;
+        color: white; }
+      html.theme--documenter-dark .hero.is-white.is-bold {
+        background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-white.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); } }
+    html.theme--documenter-dark .hero.is-black {
+      background-color: #0a0a0a;
+      color: white; }
+      html.theme--documenter-dark .hero.is-black a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-black strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-black .title {
+        color: white; }
+      html.theme--documenter-dark .hero.is-black .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-black .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-black .subtitle strong {
+          color: white; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-black .navbar-menu {
+          background-color: #0a0a0a; } }
+      html.theme--documenter-dark .hero.is-black .navbar-item,
+      html.theme--documenter-dark .hero.is-black .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-black a.navbar-item:hover, html.theme--documenter-dark .hero.is-black a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-black .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-black .navbar-link.is-active {
+        background-color: black;
+        color: white; }
+      html.theme--documenter-dark .hero.is-black .tabs a {
+        color: white;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-black .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-black .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-black .tabs.is-boxed a, html.theme--documenter-dark .hero.is-black .tabs.is-toggle a {
+        color: white; }
+        html.theme--documenter-dark .hero.is-black .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-black .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-black .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-black .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-black .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-black .tabs.is-toggle li.is-active a:hover {
+        background-color: white;
+        border-color: white;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-black.is-bold {
+        background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-black.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } }
+    html.theme--documenter-dark .hero.is-light {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+      html.theme--documenter-dark .hero.is-light a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-light strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-light .title {
+        color: #282f2f; }
+      html.theme--documenter-dark .hero.is-light .subtitle {
+        color: rgba(40, 47, 47, 0.9); }
+        html.theme--documenter-dark .hero.is-light .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-light .subtitle strong {
+          color: #282f2f; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-light .navbar-menu {
+          background-color: #ecf0f1; } }
+      html.theme--documenter-dark .hero.is-light .navbar-item,
+      html.theme--documenter-dark .hero.is-light .navbar-link {
+        color: rgba(40, 47, 47, 0.7); }
+      html.theme--documenter-dark .hero.is-light a.navbar-item:hover, html.theme--documenter-dark .hero.is-light a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-light .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-light .navbar-link.is-active {
+        background-color: #dde4e6;
+        color: #282f2f; }
+      html.theme--documenter-dark .hero.is-light .tabs a {
+        color: #282f2f;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-light .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-light .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-light .tabs.is-boxed a, html.theme--documenter-dark .hero.is-light .tabs.is-toggle a {
+        color: #282f2f; }
+        html.theme--documenter-dark .hero.is-light .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-light .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-light .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-light .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-light .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-light .tabs.is-toggle li.is-active a:hover {
+        background-color: #282f2f;
+        border-color: #282f2f;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-light.is-bold {
+        background-image: linear-gradient(141deg, #cadfe0 0%, #ecf0f1 71%, #fafbfc 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-light.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #cadfe0 0%, #ecf0f1 71%, #fafbfc 100%); } }
+    html.theme--documenter-dark .hero.is-dark, html.theme--documenter-dark .content kbd.hero {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-dark a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), html.theme--documenter-dark .content kbd.hero a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-dark strong,
+      html.theme--documenter-dark .content kbd.hero strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-dark .title, html.theme--documenter-dark .content kbd.hero .title {
+        color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-dark .subtitle, html.theme--documenter-dark .content kbd.hero .subtitle {
+        color: rgba(236, 240, 241, 0.9); }
+        html.theme--documenter-dark .hero.is-dark .subtitle a:not(.button), html.theme--documenter-dark .content kbd.hero .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-dark .subtitle strong,
+        html.theme--documenter-dark .content kbd.hero .subtitle strong {
+          color: #ecf0f1; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-dark .navbar-menu, html.theme--documenter-dark .content kbd.hero .navbar-menu {
+          background-color: #282f2f; } }
+      html.theme--documenter-dark .hero.is-dark .navbar-item, html.theme--documenter-dark .content kbd.hero .navbar-item,
+      html.theme--documenter-dark .hero.is-dark .navbar-link,
+      html.theme--documenter-dark .content kbd.hero .navbar-link {
+        color: rgba(236, 240, 241, 0.7); }
+      html.theme--documenter-dark .hero.is-dark a.navbar-item:hover, html.theme--documenter-dark .content kbd.hero a.navbar-item:hover, html.theme--documenter-dark .hero.is-dark a.navbar-item.is-active, html.theme--documenter-dark .content kbd.hero a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-dark .navbar-link:hover,
+      html.theme--documenter-dark .content kbd.hero .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-dark .navbar-link.is-active,
+      html.theme--documenter-dark .content kbd.hero .navbar-link.is-active {
+        background-color: #1d2122;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-dark .tabs a, html.theme--documenter-dark .content kbd.hero .tabs a {
+        color: #ecf0f1;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-dark .tabs a:hover, html.theme--documenter-dark .content kbd.hero .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-dark .tabs li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-dark .tabs.is-boxed a, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed a, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle a, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle a {
+        color: #ecf0f1; }
+        html.theme--documenter-dark .hero.is-dark .tabs.is-boxed a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-dark .tabs.is-boxed li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-dark .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle li.is-active a:hover {
+        background-color: #ecf0f1;
+        border-color: #ecf0f1;
+        color: #282f2f; }
+      html.theme--documenter-dark .hero.is-dark.is-bold, html.theme--documenter-dark .content kbd.hero.is-bold {
+        background-image: linear-gradient(141deg, #0f1615 0%, #282f2f 71%, #313c40 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-dark.is-bold .navbar-menu, html.theme--documenter-dark .content kbd.hero.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #0f1615 0%, #282f2f 71%, #313c40 100%); } }
+    html.theme--documenter-dark .hero.is-primary, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink {
+      background-color: #375a7f;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-primary a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-primary strong,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-primary .title, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-primary .subtitle, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-primary .subtitle a:not(.button), html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-primary .subtitle strong,
+        html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-primary .navbar-menu, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-menu {
+          background-color: #375a7f; } }
+      html.theme--documenter-dark .hero.is-primary .navbar-item, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-item,
+      html.theme--documenter-dark .hero.is-primary .navbar-link,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-primary a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a.navbar-item:hover, html.theme--documenter-dark .hero.is-primary a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-primary .navbar-link:hover,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-primary .navbar-link.is-active,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link.is-active {
+        background-color: #2f4d6d;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-primary .tabs a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-primary .tabs a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-primary .tabs li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-primary .tabs.is-boxed a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-primary .tabs.is-boxed a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-primary .tabs.is-boxed li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-primary .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #375a7f; }
+      html.theme--documenter-dark .hero.is-primary.is-bold, html.theme--documenter-dark .docstring > section > a.hero.is-bold.docs-sourcelink {
+        background-image: linear-gradient(141deg, #214b62 0%, #375a7f 71%, #3a5796 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-primary.is-bold .navbar-menu, html.theme--documenter-dark .docstring > section > a.hero.is-bold.docs-sourcelink .navbar-menu {
+            background-image: linear-gradient(141deg, #214b62 0%, #375a7f 71%, #3a5796 100%); } }
+    html.theme--documenter-dark .hero.is-link {
+      background-color: #1abc9c;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-link a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-link strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-link .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-link .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-link .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-link .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-link .navbar-menu {
+          background-color: #1abc9c; } }
+      html.theme--documenter-dark .hero.is-link .navbar-item,
+      html.theme--documenter-dark .hero.is-link .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-link a.navbar-item:hover, html.theme--documenter-dark .hero.is-link a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-link .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-link .navbar-link.is-active {
+        background-color: #17a689;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-link .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-link .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-link .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-link .tabs.is-boxed a, html.theme--documenter-dark .hero.is-link .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-link .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-link .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-link .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-link .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-link .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-link .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #1abc9c; }
+      html.theme--documenter-dark .hero.is-link.is-bold {
+        background-image: linear-gradient(141deg, #0c9764 0%, #1abc9c 71%, #17d8d2 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-link.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #0c9764 0%, #1abc9c 71%, #17d8d2 100%); } }
+    html.theme--documenter-dark .hero.is-info {
+      background-color: #024c7d;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-info a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-info strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-info .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-info .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-info .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-info .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-info .navbar-menu {
+          background-color: #024c7d; } }
+      html.theme--documenter-dark .hero.is-info .navbar-item,
+      html.theme--documenter-dark .hero.is-info .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-info a.navbar-item:hover, html.theme--documenter-dark .hero.is-info a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-info .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-info .navbar-link.is-active {
+        background-color: #023d64;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-info .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-info .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-info .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-info .tabs.is-boxed a, html.theme--documenter-dark .hero.is-info .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-info .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-info .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-info .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-info .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-info .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-info .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #024c7d; }
+      html.theme--documenter-dark .hero.is-info.is-bold {
+        background-image: linear-gradient(141deg, #003a4c 0%, #024c7d 71%, #004299 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-info.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #003a4c 0%, #024c7d 71%, #004299 100%); } }
+    html.theme--documenter-dark .hero.is-success {
+      background-color: #008438;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-success a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-success strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-success .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-success .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-success .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-success .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-success .navbar-menu {
+          background-color: #008438; } }
+      html.theme--documenter-dark .hero.is-success .navbar-item,
+      html.theme--documenter-dark .hero.is-success .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-success a.navbar-item:hover, html.theme--documenter-dark .hero.is-success a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-success .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-success .navbar-link.is-active {
+        background-color: #006b2d;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-success .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-success .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-success .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-success .tabs.is-boxed a, html.theme--documenter-dark .hero.is-success .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-success .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-success .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-success .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-success .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-success .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-success .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #008438; }
+      html.theme--documenter-dark .hero.is-success.is-bold {
+        background-image: linear-gradient(141deg, #005115 0%, #008438 71%, #009e5d 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-success.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #005115 0%, #008438 71%, #009e5d 100%); } }
+    html.theme--documenter-dark .hero.is-warning {
+      background-color: #ad8100;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-warning a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-warning strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-warning .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-warning .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-warning .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-warning .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-warning .navbar-menu {
+          background-color: #ad8100; } }
+      html.theme--documenter-dark .hero.is-warning .navbar-item,
+      html.theme--documenter-dark .hero.is-warning .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-warning a.navbar-item:hover, html.theme--documenter-dark .hero.is-warning a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-warning .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-warning .navbar-link.is-active {
+        background-color: #946e00;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-warning .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-warning .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-warning .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-warning .tabs.is-boxed a, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-warning .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-warning .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-warning .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #ad8100; }
+      html.theme--documenter-dark .hero.is-warning.is-bold {
+        background-image: linear-gradient(141deg, #7a4700 0%, #ad8100 71%, #c7b500 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-warning.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #7a4700 0%, #ad8100 71%, #c7b500 100%); } }
+    html.theme--documenter-dark .hero.is-danger {
+      background-color: #9e1b0d;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-danger a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-danger strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-danger .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-danger .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-danger .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-danger .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-danger .navbar-menu {
+          background-color: #9e1b0d; } }
+      html.theme--documenter-dark .hero.is-danger .navbar-item,
+      html.theme--documenter-dark .hero.is-danger .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-danger a.navbar-item:hover, html.theme--documenter-dark .hero.is-danger a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-danger .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-danger .navbar-link.is-active {
+        background-color: #86170b;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-danger .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-danger .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-danger .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-danger .tabs.is-boxed a, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-danger .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-danger .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-danger .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #9e1b0d; }
+      html.theme--documenter-dark .hero.is-danger.is-bold {
+        background-image: linear-gradient(141deg, #75030b 0%, #9e1b0d 71%, #ba380a 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-danger.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #75030b 0%, #9e1b0d 71%, #ba380a 100%); } }
+    html.theme--documenter-dark .hero.is-small .hero-body, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.hero .hero-body {
+      padding-bottom: 1.5rem;
+      padding-top: 1.5rem; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .hero.is-medium .hero-body {
+        padding-bottom: 9rem;
+        padding-top: 9rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .hero.is-large .hero-body {
+        padding-bottom: 18rem;
+        padding-top: 18rem; } }
+    html.theme--documenter-dark .hero.is-halfheight .hero-body, html.theme--documenter-dark .hero.is-fullheight .hero-body, html.theme--documenter-dark .hero.is-fullheight-with-navbar .hero-body {
+      align-items: center;
+      display: flex; }
+      html.theme--documenter-dark .hero.is-halfheight .hero-body > .container, html.theme--documenter-dark .hero.is-fullheight .hero-body > .container, html.theme--documenter-dark .hero.is-fullheight-with-navbar .hero-body > .container {
+        flex-grow: 1;
+        flex-shrink: 1; }
+    html.theme--documenter-dark .hero.is-halfheight {
+      min-height: 50vh; }
+    html.theme--documenter-dark .hero.is-fullheight {
+      min-height: 100vh; }
+  html.theme--documenter-dark .hero-video {
+    overflow: hidden; }
+    html.theme--documenter-dark .hero-video video {
+      left: 50%;
+      min-height: 100%;
+      min-width: 100%;
+      position: absolute;
+      top: 50%;
+      transform: translate3d(-50%, -50%, 0); }
+    html.theme--documenter-dark .hero-video.is-transparent {
+      opacity: 0.3; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .hero-video {
+        display: none; } }
+  html.theme--documenter-dark .hero-buttons {
+    margin-top: 1.5rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .hero-buttons .button {
+        display: flex; }
+        html.theme--documenter-dark .hero-buttons .button:not(:last-child) {
+          margin-bottom: 0.75rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .hero-buttons {
+        display: flex;
+        justify-content: center; }
+        html.theme--documenter-dark .hero-buttons .button:not(:last-child) {
+          margin-right: 1.5rem; } }
+  html.theme--documenter-dark .hero-head,
+  html.theme--documenter-dark .hero-foot {
+    flex-grow: 0;
+    flex-shrink: 0; }
+  html.theme--documenter-dark .hero-body {
+    flex-grow: 1;
+    flex-shrink: 0;
+    padding: 3rem 1.5rem; }
+  html.theme--documenter-dark .section {
+    padding: 3rem 1.5rem; }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .section.is-medium {
+        padding: 9rem 1.5rem; }
+      html.theme--documenter-dark .section.is-large {
+        padding: 18rem 1.5rem; } }
+  html.theme--documenter-dark .footer {
+    background-color: #282f2f;
+    padding: 3rem 1.5rem 6rem; }
+  html.theme--documenter-dark hr {
+    height: 1px; }
+  html.theme--documenter-dark h6 {
+    text-transform: uppercase;
+    letter-spacing: 0.5px; }
+  html.theme--documenter-dark .hero {
+    background-color: #343c3d; }
+  html.theme--documenter-dark a {
+    transition: all 200ms ease; }
+  html.theme--documenter-dark .button {
+    transition: all 200ms ease;
+    border-width: 1px;
+    color: white; }
+    html.theme--documenter-dark .button.is-active, html.theme--documenter-dark .button.is-focused, html.theme--documenter-dark .button:active, html.theme--documenter-dark .button:focus {
+      box-shadow: 0 0 0 2px rgba(140, 155, 157, 0.5); }
+    html.theme--documenter-dark .button.is-white.is-hovered, html.theme--documenter-dark .button.is-white:hover {
+      background-color: white; }
+    html.theme--documenter-dark .button.is-white.is-active, html.theme--documenter-dark .button.is-white.is-focused, html.theme--documenter-dark .button.is-white:active, html.theme--documenter-dark .button.is-white:focus {
+      border-color: white;
+      box-shadow: 0 0 0 2px rgba(255, 255, 255, 0.5); }
+    html.theme--documenter-dark .button.is-black.is-hovered, html.theme--documenter-dark .button.is-black:hover {
+      background-color: #1d1d1d; }
+    html.theme--documenter-dark .button.is-black.is-active, html.theme--documenter-dark .button.is-black.is-focused, html.theme--documenter-dark .button.is-black:active, html.theme--documenter-dark .button.is-black:focus {
+      border-color: #0a0a0a;
+      box-shadow: 0 0 0 2px rgba(10, 10, 10, 0.5); }
+    html.theme--documenter-dark .button.is-light.is-hovered, html.theme--documenter-dark .button.is-light:hover {
+      background-color: white; }
+    html.theme--documenter-dark .button.is-light.is-active, html.theme--documenter-dark .button.is-light.is-focused, html.theme--documenter-dark .button.is-light:active, html.theme--documenter-dark .button.is-light:focus {
+      border-color: #ecf0f1;
+      box-shadow: 0 0 0 2px rgba(236, 240, 241, 0.5); }
+    html.theme--documenter-dark .button.is-dark.is-hovered, html.theme--documenter-dark .content kbd.button.is-hovered, html.theme--documenter-dark .button.is-dark:hover, html.theme--documenter-dark .content kbd.button:hover {
+      background-color: #3a4344; }
+    html.theme--documenter-dark .button.is-dark.is-active, html.theme--documenter-dark .content kbd.button.is-active, html.theme--documenter-dark .button.is-dark.is-focused, html.theme--documenter-dark .content kbd.button.is-focused, html.theme--documenter-dark .button.is-dark:active, html.theme--documenter-dark .content kbd.button:active, html.theme--documenter-dark .button.is-dark:focus, html.theme--documenter-dark .content kbd.button:focus {
+      border-color: #282f2f;
+      box-shadow: 0 0 0 2px rgba(40, 47, 47, 0.5); }
+    html.theme--documenter-dark .button.is-primary.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary:hover, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:hover {
+      background-color: #436d9a; }
+    html.theme--documenter-dark .button.is-primary.is-active, html.theme--documenter-dark .docstring > section > a.button.is-active.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink, html.theme--documenter-dark .button.is-primary:active, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:active, html.theme--documenter-dark .button.is-primary:focus, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus {
+      border-color: #375a7f;
+      box-shadow: 0 0 0 2px rgba(55, 90, 127, 0.5); }
+    html.theme--documenter-dark .button.is-link.is-hovered, html.theme--documenter-dark .button.is-link:hover {
+      background-color: #1fdeb8; }
+    html.theme--documenter-dark .button.is-link.is-active, html.theme--documenter-dark .button.is-link.is-focused, html.theme--documenter-dark .button.is-link:active, html.theme--documenter-dark .button.is-link:focus {
+      border-color: #1abc9c;
+      box-shadow: 0 0 0 2px rgba(26, 188, 156, 0.5); }
+    html.theme--documenter-dark .button.is-info.is-hovered, html.theme--documenter-dark .button.is-info:hover {
+      background-color: #0363a3; }
+    html.theme--documenter-dark .button.is-info.is-active, html.theme--documenter-dark .button.is-info.is-focused, html.theme--documenter-dark .button.is-info:active, html.theme--documenter-dark .button.is-info:focus {
+      border-color: #024c7d;
+      box-shadow: 0 0 0 2px rgba(2, 76, 125, 0.5); }
+    html.theme--documenter-dark .button.is-success.is-hovered, html.theme--documenter-dark .button.is-success:hover {
+      background-color: #00aa48; }
+    html.theme--documenter-dark .button.is-success.is-active, html.theme--documenter-dark .button.is-success.is-focused, html.theme--documenter-dark .button.is-success:active, html.theme--documenter-dark .button.is-success:focus {
+      border-color: #008438;
+      box-shadow: 0 0 0 2px rgba(0, 132, 56, 0.5); }
+    html.theme--documenter-dark .button.is-warning.is-hovered, html.theme--documenter-dark .button.is-warning:hover {
+      background-color: #d39e00; }
+    html.theme--documenter-dark .button.is-warning.is-active, html.theme--documenter-dark .button.is-warning.is-focused, html.theme--documenter-dark .button.is-warning:active, html.theme--documenter-dark .button.is-warning:focus {
+      border-color: #ad8100;
+      box-shadow: 0 0 0 2px rgba(173, 129, 0, 0.5); }
+    html.theme--documenter-dark .button.is-danger.is-hovered, html.theme--documenter-dark .button.is-danger:hover {
+      background-color: #c12110; }
+    html.theme--documenter-dark .button.is-danger.is-active, html.theme--documenter-dark .button.is-danger.is-focused, html.theme--documenter-dark .button.is-danger:active, html.theme--documenter-dark .button.is-danger:focus {
+      border-color: #9e1b0d;
+      box-shadow: 0 0 0 2px rgba(158, 27, 13, 0.5); }
+  html.theme--documenter-dark .label {
+    color: #dbdee0; }
+  html.theme--documenter-dark .button,
+  html.theme--documenter-dark .control.has-icons-left .icon,
+  html.theme--documenter-dark .control.has-icons-right .icon,
+  html.theme--documenter-dark .input,
+  html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input,
+  html.theme--documenter-dark .pagination-ellipsis,
+  html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .select,
+  html.theme--documenter-dark .select select,
+  html.theme--documenter-dark .textarea {
+    height: 2.5em; }
+  html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input,
+  html.theme--documenter-dark .textarea {
+    transition: all 200ms ease;
+    box-shadow: none;
+    border-width: 1px;
+    padding-left: 1em;
+    padding-right: 1em; }
+  html.theme--documenter-dark .select:after,
+  html.theme--documenter-dark .select select {
+    border-width: 1px; }
+  html.theme--documenter-dark .control.has-addons .button,
+  html.theme--documenter-dark .control.has-addons .input,
+  html.theme--documenter-dark .control.has-addons #documenter .docs-sidebar form.docs-search > input,
+  html.theme--documenter-dark #documenter .docs-sidebar .control.has-addons form.docs-search > input,
+  html.theme--documenter-dark .control.has-addons .select {
+    margin-right: -1px; }
+  html.theme--documenter-dark .notification {
+    background-color: #343c3d; }
+  html.theme--documenter-dark .card {
+    box-shadow: none;
+    border: 1px solid #343c3d;
+    background-color: #282f2f;
+    border-radius: 0.4em; }
+    html.theme--documenter-dark .card .card-image img {
+      border-radius: 0.4em 0.4em 0 0; }
+    html.theme--documenter-dark .card .card-header {
+      box-shadow: none;
+      background-color: rgba(18, 18, 18, 0.2);
+      border-radius: 0.4em 0.4em 0 0; }
+    html.theme--documenter-dark .card .card-footer {
+      background-color: rgba(18, 18, 18, 0.2); }
+    html.theme--documenter-dark .card .card-footer,
+    html.theme--documenter-dark .card .card-footer-item {
+      border-width: 1px;
+      border-color: #343c3d; }
+  html.theme--documenter-dark .notification.is-white a:not(.button) {
+    color: #0a0a0a;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-black a:not(.button) {
+    color: white;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-light a:not(.button) {
+    color: #282f2f;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-dark a:not(.button), html.theme--documenter-dark .content kbd.notification a:not(.button) {
+    color: #ecf0f1;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-primary a:not(.button), html.theme--documenter-dark .docstring > section > a.notification.docs-sourcelink a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-link a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-info a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-success a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-warning a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-danger a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .tag, html.theme--documenter-dark .content kbd, html.theme--documenter-dark .docstring > section > a.docs-sourcelink {
+    border-radius: 0.4em; }
+  html.theme--documenter-dark .menu-list a {
+    transition: all 300ms ease; }
+  html.theme--documenter-dark .modal-card-body {
+    background-color: #282f2f; }
+  html.theme--documenter-dark .modal-card-foot,
+  html.theme--documenter-dark .modal-card-head {
+    border-color: #343c3d; }
+  html.theme--documenter-dark .message-header {
+    font-weight: 700;
+    background-color: #343c3d;
+    color: white; }
+  html.theme--documenter-dark .message-body {
+    border-width: 1px;
+    border-color: #343c3d; }
+  html.theme--documenter-dark .navbar {
+    border-radius: 0.4em; }
+    html.theme--documenter-dark .navbar.is-transparent {
+      background: none; }
+    html.theme--documenter-dark .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active {
+      background-color: #1abc9c; }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .navbar .navbar-menu {
+        background-color: #375a7f;
+        border-radius: 0 0 0.4em 0.4em; } }
+  html.theme--documenter-dark .hero .navbar,
+  html.theme--documenter-dark body > .navbar {
+    border-radius: 0; }
+  html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-previous {
+    border-width: 1px; }
+  html.theme--documenter-dark .panel-block,
+  html.theme--documenter-dark .panel-heading,
+  html.theme--documenter-dark .panel-tabs {
+    border-width: 1px; }
+    html.theme--documenter-dark .panel-block:first-child,
+    html.theme--documenter-dark .panel-heading:first-child,
+    html.theme--documenter-dark .panel-tabs:first-child {
+      border-top-width: 1px; }
+  html.theme--documenter-dark .panel-heading {
+    font-weight: 700; }
+  html.theme--documenter-dark .panel-tabs a {
+    border-width: 1px;
+    margin-bottom: -1px; }
+    html.theme--documenter-dark .panel-tabs a.is-active {
+      border-bottom-color: #17a689; }
+  html.theme--documenter-dark .panel-block:hover {
+    color: #1dd2af; }
+    html.theme--documenter-dark .panel-block:hover .panel-icon {
+      color: #1dd2af; }
+  html.theme--documenter-dark .panel-block.is-active .panel-icon {
+    color: #17a689; }
+  html.theme--documenter-dark .tabs a {
+    border-bottom-width: 1px;
+    margin-bottom: -1px; }
+  html.theme--documenter-dark .tabs ul {
+    border-bottom-width: 1px; }
+  html.theme--documenter-dark .tabs.is-boxed a {
+    border-width: 1px; }
+  html.theme--documenter-dark .tabs.is-boxed li.is-active a {
+    background-color: #1f2424; }
+  html.theme--documenter-dark .tabs.is-toggle li a {
+    border-width: 1px;
+    margin-bottom: 0; }
+  html.theme--documenter-dark .tabs.is-toggle li + li {
+    margin-left: -1px; }
+  html.theme--documenter-dark .hero.is-white .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-black .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-light .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-dark .navbar .navbar-dropdown .navbar-item:hover, html.theme--documenter-dark .content kbd.hero .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-primary .navbar .navbar-dropdown .navbar-item:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-link .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-info .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-success .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-warning .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-danger .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark h1 .docs-heading-anchor, html.theme--documenter-dark h1 .docs-heading-anchor:hover, html.theme--documenter-dark h1 .docs-heading-anchor:visited, html.theme--documenter-dark h2 .docs-heading-anchor, html.theme--documenter-dark h2 .docs-heading-anchor:hover, html.theme--documenter-dark h2 .docs-heading-anchor:visited, html.theme--documenter-dark h3 .docs-heading-anchor, html.theme--documenter-dark h3 .docs-heading-anchor:hover, html.theme--documenter-dark h3 .docs-heading-anchor:visited, html.theme--documenter-dark h4 .docs-heading-anchor, html.theme--documenter-dark h4 .docs-heading-anchor:hover, html.theme--documenter-dark h4 .docs-heading-anchor:visited, html.theme--documenter-dark h5 .docs-heading-anchor, html.theme--documenter-dark h5 .docs-heading-anchor:hover, html.theme--documenter-dark h5 .docs-heading-anchor:visited, html.theme--documenter-dark h6 .docs-heading-anchor, html.theme--documenter-dark h6 .docs-heading-anchor:hover, html.theme--documenter-dark h6 .docs-heading-anchor:visited {
+    color: #f2f2f2; }
+  html.theme--documenter-dark h1 .docs-heading-anchor-permalink, html.theme--documenter-dark h2 .docs-heading-anchor-permalink, html.theme--documenter-dark h3 .docs-heading-anchor-permalink, html.theme--documenter-dark h4 .docs-heading-anchor-permalink, html.theme--documenter-dark h5 .docs-heading-anchor-permalink, html.theme--documenter-dark h6 .docs-heading-anchor-permalink {
+    visibility: hidden;
+    vertical-align: middle;
+    margin-left: 0.5em;
+    font-size: 0.7rem; }
+    html.theme--documenter-dark h1 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h2 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h3 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h4 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h5 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h6 .docs-heading-anchor-permalink::before {
+      font-family: "Font Awesome 5 Free";
+      font-weight: 900;
+      content: "\f0c1"; }
+  html.theme--documenter-dark h1:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h2:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h3:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h4:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h5:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h6:hover .docs-heading-anchor-permalink {
+    visibility: visible; }
+  html.theme--documenter-dark .docs-light-only {
+    display: none !important; }
+  html.theme--documenter-dark pre {
+    position: relative;
+    overflow: hidden; }
+    html.theme--documenter-dark pre code, html.theme--documenter-dark pre code.hljs {
+      padding: 0 0.5rem !important;
+      overflow: auto;
+      display: block; }
+    html.theme--documenter-dark pre code:first-of-type, html.theme--documenter-dark pre code.hljs:first-of-type {
+      padding-top: 0.7rem !important; }
+    html.theme--documenter-dark pre code:last-of-type, html.theme--documenter-dark pre code.hljs:last-of-type {
+      padding-bottom: 0.7rem !important; }
+    html.theme--documenter-dark pre .copy-button {
+      opacity: 0.2;
+      transition: opacity 0.2s;
+      position: absolute;
+      right: 0em;
+      top: 0em;
+      padding: 0.5em;
+      width: 2.5em;
+      height: 2.5em;
+      background: transparent;
+      border: none;
+      font-family: "Font Awesome 5 Free";
+      color: #fff;
+      cursor: pointer;
+      text-align: center; }
+      html.theme--documenter-dark pre .copy-button:focus, html.theme--documenter-dark pre .copy-button:hover {
+        opacity: 1;
+        background: rgba(255, 255, 255, 0.1);
+        color: #1abc9c; }
+      html.theme--documenter-dark pre .copy-button.success {
+        color: #259a12;
+        opacity: 1; }
+      html.theme--documenter-dark pre .copy-button.error {
+        color: #cb3c33;
+        opacity: 1; }
+    html.theme--documenter-dark pre:hover .copy-button {
+      opacity: 1; }
+  html.theme--documenter-dark .admonition {
+    background-color: #282f2f;
+    border-style: solid;
+    border-width: 1px;
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    font-size: 15px; }
+    html.theme--documenter-dark .admonition strong {
+      color: currentColor; }
+    html.theme--documenter-dark .admonition.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.admonition {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .admonition.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .admonition.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .admonition.is-default {
+      background-color: #282f2f;
+      border-color: #5e6d6f; }
+      html.theme--documenter-dark .admonition.is-default > .admonition-header {
+        background-color: #5e6d6f; }
+    html.theme--documenter-dark .admonition.is-info {
+      background-color: #282f2f;
+      border-color: #024c7d; }
+      html.theme--documenter-dark .admonition.is-info > .admonition-header {
+        background-color: #024c7d; }
+    html.theme--documenter-dark .admonition.is-success {
+      background-color: #282f2f;
+      border-color: #008438; }
+      html.theme--documenter-dark .admonition.is-success > .admonition-header {
+        background-color: #008438; }
+    html.theme--documenter-dark .admonition.is-warning {
+      background-color: #282f2f;
+      border-color: #ad8100; }
+      html.theme--documenter-dark .admonition.is-warning > .admonition-header {
+        background-color: #ad8100; }
+    html.theme--documenter-dark .admonition.is-danger {
+      background-color: #282f2f;
+      border-color: #9e1b0d; }
+      html.theme--documenter-dark .admonition.is-danger > .admonition-header {
+        background-color: #9e1b0d; }
+    html.theme--documenter-dark .admonition.is-compat {
+      background-color: #282f2f;
+      border-color: #137886; }
+      html.theme--documenter-dark .admonition.is-compat > .admonition-header {
+        background-color: #137886; }
+  html.theme--documenter-dark .admonition-header {
+    background-color: #5e6d6f;
+    align-items: center;
+    font-weight: 700;
+    justify-content: space-between;
+    line-height: 1.25;
+    padding: 0.75em;
+    position: relative; }
+    html.theme--documenter-dark .admonition-header:before {
+      font-family: "Font Awesome 5 Free";
+      font-weight: 900;
+      margin-right: 0.75em;
+      content: "\f06a"; }
+  html.theme--documenter-dark .admonition-body {
+    color: #fff;
+    padding: 1em 1.25em; }
+    html.theme--documenter-dark .admonition-body pre {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .admonition-body code {
+      background-color: rgba(255, 255, 255, 0.05); }
+  html.theme--documenter-dark .docstring {
+    margin-bottom: 1em;
+    background-color: transparent;
+    border: 1px solid #5e6d6f;
+    box-shadow: none;
+    max-width: 100%; }
+    html.theme--documenter-dark .docstring > header {
+      display: flex;
+      flex-grow: 1;
+      align-items: stretch;
+      padding: 0.75rem;
+      background-color: #282f2f;
+      box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+      box-shadow: none;
+      border-bottom: 1px solid #5e6d6f; }
+      html.theme--documenter-dark .docstring > header code {
+        background-color: transparent; }
+      html.theme--documenter-dark .docstring > header .docstring-binding {
+        margin-right: 0.3em; }
+      html.theme--documenter-dark .docstring > header .docstring-category {
+        margin-left: 0.3em; }
+    html.theme--documenter-dark .docstring > section {
+      position: relative;
+      padding: 1rem 1.25rem;
+      border-bottom: 1px solid #5e6d6f; }
+      html.theme--documenter-dark .docstring > section:last-child {
+        border-bottom: none; }
+      html.theme--documenter-dark .docstring > section > a.docs-sourcelink {
+        transition: opacity 0.3s;
+        opacity: 0;
+        position: absolute;
+        right: 0.625rem;
+        bottom: 0.5rem; }
+        html.theme--documenter-dark .docstring > section > a.docs-sourcelink:focus {
+          opacity: 1 !important; }
+    html.theme--documenter-dark .docstring:hover > section > a.docs-sourcelink {
+      opacity: 0.2; }
+    html.theme--documenter-dark .docstring:focus-within > section > a.docs-sourcelink {
+      opacity: 0.2; }
+    html.theme--documenter-dark .docstring > section:hover a.docs-sourcelink {
+      opacity: 1; }
+  html.theme--documenter-dark .documenter-example-output {
+    background-color: #1f2424; }
+  html.theme--documenter-dark .outdated-warning-overlay {
+    position: fixed;
+    top: 0;
+    left: 0;
+    right: 0;
+    box-shadow: 0 0 10px rgba(0, 0, 0, 0.3);
+    z-index: 999;
+    background-color: #282f2f;
+    border-bottom: 3px solid #9e1b0d;
+    padding: 10px 35px;
+    text-align: center;
+    font-size: 15px; }
+    html.theme--documenter-dark .outdated-warning-overlay .outdated-warning-closer {
+      position: absolute;
+      top: calc(50% - 10px);
+      right: 18px;
+      cursor: pointer;
+      width: 12px; }
+    html.theme--documenter-dark .outdated-warning-overlay a {
+      color: #1abc9c; }
+      html.theme--documenter-dark .outdated-warning-overlay a:hover {
+        color: #1dd2af; }
+  html.theme--documenter-dark .content pre {
+    border: 1px solid #5e6d6f; }
+  html.theme--documenter-dark .content code {
+    font-weight: inherit; }
+  html.theme--documenter-dark .content a code {
+    color: #1abc9c; }
+  html.theme--documenter-dark .content h1 code, html.theme--documenter-dark .content h2 code, html.theme--documenter-dark .content h3 code, html.theme--documenter-dark .content h4 code, html.theme--documenter-dark .content h5 code, html.theme--documenter-dark .content h6 code {
+    color: #f2f2f2; }
+  html.theme--documenter-dark .content table {
+    display: block;
+    width: initial;
+    max-width: 100%;
+    overflow-x: auto; }
+  html.theme--documenter-dark .content blockquote > ul:first-child, html.theme--documenter-dark .content blockquote > ol:first-child, html.theme--documenter-dark .content .admonition-body > ul:first-child, html.theme--documenter-dark .content .admonition-body > ol:first-child {
+    margin-top: 0; }
+  html.theme--documenter-dark pre, html.theme--documenter-dark code {
+    font-variant-ligatures: no-contextual; }
+  html.theme--documenter-dark .breadcrumb a.is-disabled {
+    cursor: default;
+    pointer-events: none; }
+    html.theme--documenter-dark .breadcrumb a.is-disabled, html.theme--documenter-dark .breadcrumb a.is-disabled:hover {
+      color: #f2f2f2; }
+  html.theme--documenter-dark .hljs {
+    background: initial !important; }
+  html.theme--documenter-dark .katex .katex-mathml {
+    top: 0;
+    right: 0; }
+  html.theme--documenter-dark .katex-display, html.theme--documenter-dark mjx-container, html.theme--documenter-dark .MathJax_Display {
+    margin: 0.5em 0 !important; }
+  html.theme--documenter-dark html {
+    -moz-osx-font-smoothing: auto;
+    -webkit-font-smoothing: auto; }
+  html.theme--documenter-dark li.no-marker {
+    list-style: none; }
+  html.theme--documenter-dark #documenter .docs-main > article {
+    overflow-wrap: break-word; }
+    html.theme--documenter-dark #documenter .docs-main > article .math-container {
+      overflow-x: auto;
+      overflow-y: hidden; }
+  @media screen and (min-width: 1056px) {
+    html.theme--documenter-dark #documenter .docs-main {
+      max-width: 52rem;
+      margin-left: 20rem;
+      padding-right: 1rem; } }
+  @media screen and (max-width: 1055px) {
+    html.theme--documenter-dark #documenter .docs-main {
+      width: 100%; }
+      html.theme--documenter-dark #documenter .docs-main > article {
+        max-width: 52rem;
+        margin-left: auto;
+        margin-right: auto;
+        margin-bottom: 1rem;
+        padding: 0 1rem; }
+      html.theme--documenter-dark #documenter .docs-main > header, html.theme--documenter-dark #documenter .docs-main > nav {
+        max-width: 100%;
+        width: 100%;
+        margin: 0; } }
+  html.theme--documenter-dark #documenter .docs-main header.docs-navbar {
+    background-color: #1f2424;
+    border-bottom: 1px solid #5e6d6f;
+    z-index: 2;
+    min-height: 4rem;
+    margin-bottom: 1rem;
+    display: flex; }
+    html.theme--documenter-dark #documenter .docs-main header.docs-navbar .breadcrumb {
+      flex-grow: 1; }
+    html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right {
+      display: flex;
+      white-space: nowrap; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-icon, html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-label, html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+        display: inline-block; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-label {
+        padding: 0;
+        margin-left: 0.3em; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-settings-button {
+        margin: auto 0 auto 1rem; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+        font-size: 1.5rem;
+        margin: auto 0 auto 1rem; }
+    html.theme--documenter-dark #documenter .docs-main header.docs-navbar > * {
+      margin: auto 0; }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar {
+        position: sticky;
+        top: 0;
+        padding: 0 1rem;
+        /* For Headroom.js */
+        transition-property: top, box-shadow;
+        -webkit-transition-property: top, box-shadow;
+        /* Safari */
+        transition-duration: 0.3s;
+        -webkit-transition-duration: 0.3s;
+        /* Safari */ }
+        html.theme--documenter-dark #documenter .docs-main header.docs-navbar.headroom--not-top {
+          box-shadow: 0.2rem 0rem 0.4rem #171717;
+          transition-duration: 0.7s;
+          -webkit-transition-duration: 0.7s;
+          /* Safari */ }
+        html.theme--documenter-dark #documenter .docs-main header.docs-navbar.headroom--unpinned.headroom--not-top.headroom--not-bottom {
+          top: -4.5rem;
+          transition-duration: 0.7s;
+          -webkit-transition-duration: 0.7s;
+          /* Safari */ } }
+  html.theme--documenter-dark #documenter .docs-main section.footnotes {
+    border-top: 1px solid #5e6d6f; }
+    html.theme--documenter-dark #documenter .docs-main section.footnotes li .tag:first-child, html.theme--documenter-dark #documenter .docs-main section.footnotes li .docstring > section > a.docs-sourcelink:first-child, html.theme--documenter-dark #documenter .docs-main section.footnotes li .content kbd:first-child, html.theme--documenter-dark .content #documenter .docs-main section.footnotes li kbd:first-child {
+      margin-right: 1em;
+      margin-bottom: 0.4em; }
+  html.theme--documenter-dark #documenter .docs-main .docs-footer {
+    display: flex;
+    flex-wrap: wrap;
+    margin-left: 0;
+    margin-right: 0;
+    border-top: 1px solid #5e6d6f;
+    padding-top: 1rem;
+    padding-bottom: 1rem; }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark #documenter .docs-main .docs-footer {
+        padding-left: 1rem;
+        padding-right: 1rem; } }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-nextpage, html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-prevpage {
+      flex-grow: 1; }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-nextpage {
+      text-align: right; }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .flexbox-break {
+      flex-basis: 100%;
+      height: 0; }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .footer-message {
+      font-size: 0.8em;
+      margin: 0.5em auto 0 auto;
+      text-align: center; }
+  html.theme--documenter-dark #documenter .docs-sidebar {
+    display: flex;
+    flex-direction: column;
+    color: #fff;
+    background-color: #282f2f;
+    border-right: 1px solid #5e6d6f;
+    padding: 0;
+    flex: 0 0 18rem;
+    z-index: 5;
+    font-size: 15px;
+    position: fixed;
+    left: -18rem;
+    width: 18rem;
+    height: 100%;
+    transition: left 0.3s;
+    /* Setting up a nicer theme style for the scrollbar */ }
+    html.theme--documenter-dark #documenter .docs-sidebar.visible {
+      left: 0;
+      box-shadow: 0.4rem 0rem 0.8rem #171717; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark #documenter .docs-sidebar.visible {
+          box-shadow: none; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark #documenter .docs-sidebar {
+        left: 0;
+        top: 0; } }
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo {
+      margin-top: 1rem;
+      padding: 0 1rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img {
+        max-height: 6rem;
+        margin: auto; }
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name {
+      flex-shrink: 0;
+      font-size: 1.5rem;
+      font-weight: 700;
+      text-align: center;
+      white-space: nowrap;
+      overflow: hidden;
+      padding: 0.5rem 0; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name .docs-autofit {
+        max-width: 16.2rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name a, html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name a:hover {
+        color: #fff; }
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-version-selector {
+      border-top: 1px solid #5e6d6f;
+      display: none;
+      padding: 0.5rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-version-selector.visible {
+        display: flex; }
+    html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu {
+      flex-grow: 1;
+      user-select: none;
+      border-top: 1px solid #5e6d6f;
+      padding-bottom: 1.5rem;
+      /* Managing collapsible submenus */ }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li > .tocitem {
+        font-weight: bold; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li li {
+        font-size: 14.25px;
+        margin-left: 1em;
+        border-left: 1px solid #5e6d6f; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input.collapse-toggle {
+        display: none; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.collapsed {
+        display: none; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input:checked ~ ul.collapsed {
+        display: block; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem {
+        display: flex; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-label {
+          flex-grow: 2; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron {
+          display: inline-block;
+          font-style: normal;
+          font-variant: normal;
+          text-rendering: auto;
+          line-height: 1;
+          font-size: 11.25px;
+          margin-left: 1rem;
+          margin-top: auto;
+          margin-bottom: auto; }
+          html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron::before {
+            font-family: "Font Awesome 5 Free";
+            font-weight: 900;
+            content: "\f054"; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input:checked ~ label.tocitem .docs-chevron::before {
+        content: "\f078"; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem {
+        display: block;
+        padding: 0.5rem 0.5rem; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem:hover {
+          color: #fff;
+          background: #282f2f; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu a.tocitem:hover, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem:hover {
+        color: #fff;
+        background-color: #32393a; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active {
+        border-top: 1px solid #5e6d6f;
+        border-bottom: 1px solid #5e6d6f;
+        background-color: #1f2424; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem:hover {
+          background-color: #1f2424;
+          color: #fff; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active ul.internal .tocitem:hover {
+          background-color: #32393a;
+          color: #fff; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li.is-active:first-child {
+        border-top: none; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal {
+        margin: 0 0.5rem 0.5rem;
+        border-top: 1px solid #5e6d6f; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal li {
+          font-size: 12.75px;
+          border-left: none;
+          margin-left: 0;
+          margin-top: 0.5rem; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem {
+          width: 100%;
+          padding: 0; }
+          html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem::before {
+            content: "⚬";
+            margin-right: 0.4em; }
+    html.theme--documenter-dark #documenter .docs-sidebar form.docs-search {
+      margin: auto;
+      margin-top: 0.5rem;
+      margin-bottom: 0.5rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+        width: 14.4rem; }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu {
+        overflow-y: auto;
+        -webkit-overflow-scroll: touch; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar {
+          width: .3rem;
+          background: none; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb {
+          border-radius: 5px 0px 0px 5px;
+          background: #3b4445; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb:hover {
+          background: #4e5a5c; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark #documenter .docs-sidebar {
+        overflow-y: auto;
+        -webkit-overflow-scroll: touch; }
+        html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar {
+          width: .3rem;
+          background: none; }
+        html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar-thumb {
+          border-radius: 5px 0px 0px 5px;
+          background: #3b4445; }
+        html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar-thumb:hover {
+          background: #4e5a5c; } }
+  html.theme--documenter-dark #documenter .docs-main #documenter-search-info {
+    margin-bottom: 1rem; }
+  html.theme--documenter-dark #documenter .docs-main #documenter-search-results {
+    list-style-type: circle;
+    list-style-position: outside; }
+    html.theme--documenter-dark #documenter .docs-main #documenter-search-results li {
+      margin-left: 2rem; }
+    html.theme--documenter-dark #documenter .docs-main #documenter-search-results .docs-highlight {
+      background-color: yellow; }
+  html.theme--documenter-dark {
+    background-color: #1f2424;
+    font-size: 16px;
+    min-width: 300px;
+    overflow-x: auto;
+    overflow-y: scroll;
+    text-rendering: optimizeLegibility;
+    text-size-adjust: 100%; }
+  html.theme--documenter-dark .ansi span.sgr1 {
+    font-weight: bolder; }
+  html.theme--documenter-dark .ansi span.sgr2 {
+    font-weight: lighter; }
+  html.theme--documenter-dark .ansi span.sgr3 {
+    font-style: italic; }
+  html.theme--documenter-dark .ansi span.sgr4 {
+    text-decoration: underline; }
+  html.theme--documenter-dark .ansi span.sgr7 {
+    color: #1f2424;
+    background-color: #fff; }
+  html.theme--documenter-dark .ansi span.sgr8 {
+    color: transparent; }
+    html.theme--documenter-dark .ansi span.sgr8 span {
+      color: transparent; }
+  html.theme--documenter-dark .ansi span.sgr9 {
+    text-decoration: line-through; }
+  html.theme--documenter-dark .ansi span.sgr30 {
+    color: #242424; }
+  html.theme--documenter-dark .ansi span.sgr31 {
+    color: #f6705f; }
+  html.theme--documenter-dark .ansi span.sgr32 {
+    color: #4fb43a; }
+  html.theme--documenter-dark .ansi span.sgr33 {
+    color: #f4c72f; }
+  html.theme--documenter-dark .ansi span.sgr34 {
+    color: #7587f0; }
+  html.theme--documenter-dark .ansi span.sgr35 {
+    color: #bc89d3; }
+  html.theme--documenter-dark .ansi span.sgr36 {
+    color: #49b6ca; }
+  html.theme--documenter-dark .ansi span.sgr37 {
+    color: #b3bdbe; }
+  html.theme--documenter-dark .ansi span.sgr40 {
+    background-color: #242424; }
+  html.theme--documenter-dark .ansi span.sgr41 {
+    background-color: #f6705f; }
+  html.theme--documenter-dark .ansi span.sgr42 {
+    background-color: #4fb43a; }
+  html.theme--documenter-dark .ansi span.sgr43 {
+    background-color: #f4c72f; }
+  html.theme--documenter-dark .ansi span.sgr44 {
+    background-color: #7587f0; }
+  html.theme--documenter-dark .ansi span.sgr45 {
+    background-color: #bc89d3; }
+  html.theme--documenter-dark .ansi span.sgr46 {
+    background-color: #49b6ca; }
+  html.theme--documenter-dark .ansi span.sgr47 {
+    background-color: #b3bdbe; }
+  html.theme--documenter-dark .ansi span.sgr90 {
+    color: #92a0a2; }
+  html.theme--documenter-dark .ansi span.sgr91 {
+    color: #ff8674; }
+  html.theme--documenter-dark .ansi span.sgr92 {
+    color: #79d462; }
+  html.theme--documenter-dark .ansi span.sgr93 {
+    color: #ffe76b; }
+  html.theme--documenter-dark .ansi span.sgr94 {
+    color: #8a98ff; }
+  html.theme--documenter-dark .ansi span.sgr95 {
+    color: #d2a4e6; }
+  html.theme--documenter-dark .ansi span.sgr96 {
+    color: #6bc8db; }
+  html.theme--documenter-dark .ansi span.sgr97 {
+    color: #ecf0f1; }
+  html.theme--documenter-dark .ansi span.sgr100 {
+    background-color: #92a0a2; }
+  html.theme--documenter-dark .ansi span.sgr101 {
+    background-color: #ff8674; }
+  html.theme--documenter-dark .ansi span.sgr102 {
+    background-color: #79d462; }
+  html.theme--documenter-dark .ansi span.sgr103 {
+    background-color: #ffe76b; }
+  html.theme--documenter-dark .ansi span.sgr104 {
+    background-color: #8a98ff; }
+  html.theme--documenter-dark .ansi span.sgr105 {
+    background-color: #d2a4e6; }
+  html.theme--documenter-dark .ansi span.sgr106 {
+    background-color: #6bc8db; }
+  html.theme--documenter-dark .ansi span.sgr107 {
+    background-color: #ecf0f1; }
+  html.theme--documenter-dark code.language-julia-repl > span.hljs-meta {
+    color: #4fb43a;
+    font-weight: bolder; }
+  html.theme--documenter-dark .hljs {
+    background: #2b2b2b;
+    color: #f8f8f2; }
+  html.theme--documenter-dark .hljs-comment,
+  html.theme--documenter-dark .hljs-quote {
+    color: #d4d0ab; }
+  html.theme--documenter-dark .hljs-variable,
+  html.theme--documenter-dark .hljs-template-variable,
+  html.theme--documenter-dark .hljs-tag,
+  html.theme--documenter-dark .hljs-name,
+  html.theme--documenter-dark .hljs-selector-id,
+  html.theme--documenter-dark .hljs-selector-class,
+  html.theme--documenter-dark .hljs-regexp,
+  html.theme--documenter-dark .hljs-deletion {
+    color: #ffa07a; }
+  html.theme--documenter-dark .hljs-number,
+  html.theme--documenter-dark .hljs-built_in,
+  html.theme--documenter-dark .hljs-literal,
+  html.theme--documenter-dark .hljs-type,
+  html.theme--documenter-dark .hljs-params,
+  html.theme--documenter-dark .hljs-meta,
+  html.theme--documenter-dark .hljs-link {
+    color: #f5ab35; }
+  html.theme--documenter-dark .hljs-attribute {
+    color: #ffd700; }
+  html.theme--documenter-dark .hljs-string,
+  html.theme--documenter-dark .hljs-symbol,
+  html.theme--documenter-dark .hljs-bullet,
+  html.theme--documenter-dark .hljs-addition {
+    color: #abe338; }
+  html.theme--documenter-dark .hljs-title,
+  html.theme--documenter-dark .hljs-section {
+    color: #00e0e0; }
+  html.theme--documenter-dark .hljs-keyword,
+  html.theme--documenter-dark .hljs-selector-tag {
+    color: #dcc6e0; }
+  html.theme--documenter-dark .hljs-emphasis {
+    font-style: italic; }
+  html.theme--documenter-dark .hljs-strong {
+    font-weight: bold; }
+  @media screen and (-ms-high-contrast: active) {
+    html.theme--documenter-dark .hljs-addition,
+    html.theme--documenter-dark .hljs-attribute,
+    html.theme--documenter-dark .hljs-built_in,
+    html.theme--documenter-dark .hljs-bullet,
+    html.theme--documenter-dark .hljs-comment,
+    html.theme--documenter-dark .hljs-link,
+    html.theme--documenter-dark .hljs-literal,
+    html.theme--documenter-dark .hljs-meta,
+    html.theme--documenter-dark .hljs-number,
+    html.theme--documenter-dark .hljs-params,
+    html.theme--documenter-dark .hljs-string,
+    html.theme--documenter-dark .hljs-symbol,
+    html.theme--documenter-dark .hljs-type,
+    html.theme--documenter-dark .hljs-quote {
+      color: highlight; }
+    html.theme--documenter-dark .hljs-keyword,
+    html.theme--documenter-dark .hljs-selector-tag {
+      font-weight: bold; } }
+  html.theme--documenter-dark .hljs-subst {
+    color: #f8f8f2; }
diff --git a/v0.3.7/assets/themes/documenter-light.css b/v0.3.7/assets/themes/documenter-light.css
new file mode 100644
index 000000000..f3e70f4be
--- /dev/null
+++ b/v0.3.7/assets/themes/documenter-light.css
@@ -0,0 +1,7738 @@
+@charset "UTF-8";
+/* Font Awesome 5 mixin. Can be included in any rule that should render Font Awesome icons. */
+@keyframes spinAround {
+  from {
+    transform: rotate(0deg); }
+  to {
+    transform: rotate(359deg); } }
+
+.tabs, .pagination-previous,
+.pagination-next,
+.pagination-link,
+.pagination-ellipsis, .breadcrumb, .file, .button, .is-unselectable, .modal-close, .delete {
+  -webkit-touch-callout: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  user-select: none; }
+
+.navbar-link:not(.is-arrowless)::after, .select:not(.is-multiple):not(.is-loading)::after {
+  border: 3px solid transparent;
+  border-radius: 2px;
+  border-right: 0;
+  border-top: 0;
+  content: " ";
+  display: block;
+  height: 0.625em;
+  margin-top: -0.4375em;
+  pointer-events: none;
+  position: absolute;
+  top: 50%;
+  transform: rotate(-45deg);
+  transform-origin: center;
+  width: 0.625em; }
+
+.admonition:not(:last-child), .tabs:not(:last-child), .message:not(:last-child), .list:not(:last-child), .level:not(:last-child), .breadcrumb:not(:last-child), .highlight:not(:last-child), .block:not(:last-child), .title:not(:last-child),
+.subtitle:not(:last-child), .table-container:not(:last-child), .table:not(:last-child), .progress:not(:last-child), .notification:not(:last-child), .content:not(:last-child), .box:not(:last-child) {
+  margin-bottom: 1.5rem; }
+
+.modal-close, .delete {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  background-color: rgba(10, 10, 10, 0.2);
+  border: none;
+  border-radius: 290486px;
+  cursor: pointer;
+  pointer-events: auto;
+  display: inline-block;
+  flex-grow: 0;
+  flex-shrink: 0;
+  font-size: 0;
+  height: 20px;
+  max-height: 20px;
+  max-width: 20px;
+  min-height: 20px;
+  min-width: 20px;
+  outline: none;
+  position: relative;
+  vertical-align: top;
+  width: 20px; }
+  .modal-close::before, .delete::before, .modal-close::after, .delete::after {
+    background-color: white;
+    content: "";
+    display: block;
+    left: 50%;
+    position: absolute;
+    top: 50%;
+    transform: translateX(-50%) translateY(-50%) rotate(45deg);
+    transform-origin: center center; }
+  .modal-close::before, .delete::before {
+    height: 2px;
+    width: 50%; }
+  .modal-close::after, .delete::after {
+    height: 50%;
+    width: 2px; }
+  .modal-close:hover, .delete:hover, .modal-close:focus, .delete:focus {
+    background-color: rgba(10, 10, 10, 0.3); }
+  .modal-close:active, .delete:active {
+    background-color: rgba(10, 10, 10, 0.4); }
+  .is-small.modal-close, #documenter .docs-sidebar form.docs-search > input.modal-close, .is-small.delete, #documenter .docs-sidebar form.docs-search > input.delete {
+    height: 16px;
+    max-height: 16px;
+    max-width: 16px;
+    min-height: 16px;
+    min-width: 16px;
+    width: 16px; }
+  .is-medium.modal-close, .is-medium.delete {
+    height: 24px;
+    max-height: 24px;
+    max-width: 24px;
+    min-height: 24px;
+    min-width: 24px;
+    width: 24px; }
+  .is-large.modal-close, .is-large.delete {
+    height: 32px;
+    max-height: 32px;
+    max-width: 32px;
+    min-height: 32px;
+    min-width: 32px;
+    width: 32px; }
+
+.control.is-loading::after, .select.is-loading::after, .loader, .button.is-loading::after {
+  animation: spinAround 500ms infinite linear;
+  border: 2px solid #dbdbdb;
+  border-radius: 290486px;
+  border-right-color: transparent;
+  border-top-color: transparent;
+  content: "";
+  display: block;
+  height: 1em;
+  position: relative;
+  width: 1em; }
+
+.hero-video, .modal-background, .modal, .image.is-square img, #documenter .docs-sidebar .docs-logo > img.is-square img,
+.image.is-square .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, .image.is-1by1 img, #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+.image.is-1by1 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, .image.is-5by4 img, #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+.image.is-5by4 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, .image.is-4by3 img, #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+.image.is-4by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, .image.is-3by2 img, #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+.image.is-3by2 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, .image.is-5by3 img, #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+.image.is-5by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, .image.is-16by9 img, #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+.image.is-16by9 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, .image.is-2by1 img, #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+.image.is-2by1 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, .image.is-3by1 img, #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+.image.is-3by1 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, .image.is-4by5 img, #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+.image.is-4by5 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, .image.is-3by4 img, #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+.image.is-3by4 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, .image.is-2by3 img, #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+.image.is-2by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, .image.is-3by5 img, #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+.image.is-3by5 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, .image.is-9by16 img, #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+.image.is-9by16 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, .image.is-1by2 img, #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+.image.is-1by2 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, .image.is-1by3 img, #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+.image.is-1by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio, .is-overlay {
+  bottom: 0;
+  left: 0;
+  position: absolute;
+  right: 0;
+  top: 0; }
+
+.pagination-previous,
+.pagination-next,
+.pagination-link,
+.pagination-ellipsis, .file-cta,
+.file-name, .select select, .textarea, .input, #documenter .docs-sidebar form.docs-search > input, .button {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  align-items: center;
+  border: 1px solid transparent;
+  border-radius: 4px;
+  box-shadow: none;
+  display: inline-flex;
+  font-size: 1rem;
+  height: 2.25em;
+  justify-content: flex-start;
+  line-height: 1.5;
+  padding-bottom: calc(0.375em - 1px);
+  padding-left: calc(0.625em - 1px);
+  padding-right: calc(0.625em - 1px);
+  padding-top: calc(0.375em - 1px);
+  position: relative;
+  vertical-align: top; }
+  .pagination-previous:focus,
+  .pagination-next:focus,
+  .pagination-link:focus,
+  .pagination-ellipsis:focus, .file-cta:focus,
+  .file-name:focus, .select select:focus, .textarea:focus, .input:focus, #documenter .docs-sidebar form.docs-search > input:focus, .button:focus, .is-focused.pagination-previous,
+  .is-focused.pagination-next,
+  .is-focused.pagination-link,
+  .is-focused.pagination-ellipsis, .is-focused.file-cta,
+  .is-focused.file-name, .select select.is-focused, .is-focused.textarea, .is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-focused.button, .pagination-previous:active,
+  .pagination-next:active,
+  .pagination-link:active,
+  .pagination-ellipsis:active, .file-cta:active,
+  .file-name:active, .select select:active, .textarea:active, .input:active, #documenter .docs-sidebar form.docs-search > input:active, .button:active, .is-active.pagination-previous,
+  .is-active.pagination-next,
+  .is-active.pagination-link,
+  .is-active.pagination-ellipsis, .is-active.file-cta,
+  .is-active.file-name, .select select.is-active, .is-active.textarea, .is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .is-active.button {
+    outline: none; }
+  .pagination-previous[disabled],
+  .pagination-next[disabled],
+  .pagination-link[disabled],
+  .pagination-ellipsis[disabled], .file-cta[disabled],
+  .file-name[disabled], .select select[disabled], .textarea[disabled], .input[disabled], #documenter .docs-sidebar form.docs-search > input[disabled], .button[disabled], fieldset[disabled] .pagination-previous,
+  fieldset[disabled] .pagination-next,
+  fieldset[disabled] .pagination-link,
+  fieldset[disabled] .pagination-ellipsis, fieldset[disabled] .file-cta,
+  fieldset[disabled] .file-name, fieldset[disabled] .select select, .select fieldset[disabled] select, fieldset[disabled] .textarea, fieldset[disabled] .input, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input, fieldset[disabled] .button {
+    cursor: not-allowed; }
+
+/*! minireset.css v0.0.4 | MIT License | github.com/jgthms/minireset.css */
+html,
+body,
+p,
+ol,
+ul,
+li,
+dl,
+dt,
+dd,
+blockquote,
+figure,
+fieldset,
+legend,
+textarea,
+pre,
+iframe,
+hr,
+h1,
+h2,
+h3,
+h4,
+h5,
+h6 {
+  margin: 0;
+  padding: 0; }
+
+h1,
+h2,
+h3,
+h4,
+h5,
+h6 {
+  font-size: 100%;
+  font-weight: normal; }
+
+ul {
+  list-style: none; }
+
+button,
+input,
+select,
+textarea {
+  margin: 0; }
+
+html {
+  box-sizing: border-box; }
+
+*, *::before, *::after {
+  box-sizing: inherit; }
+
+img,
+embed,
+iframe,
+object,
+video {
+  height: auto;
+  max-width: 100%; }
+
+audio {
+  max-width: 100%; }
+
+iframe {
+  border: 0; }
+
+table {
+  border-collapse: collapse;
+  border-spacing: 0; }
+
+td,
+th {
+  padding: 0; }
+  td:not([align]),
+  th:not([align]) {
+    text-align: left; }
+
+html {
+  background-color: white;
+  font-size: 16px;
+  -moz-osx-font-smoothing: grayscale;
+  -webkit-font-smoothing: antialiased;
+  min-width: 300px;
+  overflow-x: auto;
+  overflow-y: scroll;
+  text-rendering: optimizeLegibility;
+  text-size-adjust: 100%; }
+
+article,
+aside,
+figure,
+footer,
+header,
+hgroup,
+section {
+  display: block; }
+
+body,
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+input,
+select,
+textarea {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif; }
+
+code,
+pre {
+  -moz-osx-font-smoothing: auto;
+  -webkit-font-smoothing: auto;
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace; }
+
+body {
+  color: #222222;
+  font-size: 1em;
+  font-weight: 400;
+  line-height: 1.5; }
+
+a {
+  color: #2e63b8;
+  cursor: pointer;
+  text-decoration: none; }
+  a strong {
+    color: currentColor; }
+  a:hover {
+    color: #363636; }
+
+code {
+  background-color: rgba(0, 0, 0, 0.05);
+  color: #000000;
+  font-size: 0.875em;
+  font-weight: normal;
+  padding: 0.1em; }
+
+hr {
+  background-color: whitesmoke;
+  border: none;
+  display: block;
+  height: 2px;
+  margin: 1.5rem 0; }
+
+img {
+  height: auto;
+  max-width: 100%; }
+
+input[type="checkbox"],
+input[type="radio"] {
+  vertical-align: baseline; }
+
+small {
+  font-size: 0.875em; }
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+  font-weight: inherit; }
+
+strong {
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+  font-weight: 700; }
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+fieldset {
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+
+pre {
+  -webkit-overflow-scrolling: touch;
+  background-color: whitesmoke;
+  color: #222222;
+  font-size: 0.875em;
+  overflow-x: auto;
+  padding: 1.25rem 1.5rem;
+  white-space: pre;
+  word-wrap: normal; }
+  pre code {
+    background-color: transparent;
+    color: currentColor;
+    font-size: 1em;
+    padding: 0; }
+
+table td,
+table th {
+  vertical-align: top; }
+  table td:not([align]),
+  table th:not([align]) {
+    text-align: left; }
+
+table th {
+  color: #222222; }
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+.is-clearfix::after {
+  clear: both;
+  content: " ";
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+.is-pulled-left {
+  float: left !important; }
+
+.is-pulled-right {
+  float: right !important; }
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+
+@media screen and (max-width: 768px) {
+  .is-size-1-mobile {
+    font-size: 3rem !important; }
+  .is-size-2-mobile {
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+    font-size: 1.25rem !important; }
+  .is-size-6-mobile {
+    font-size: 1rem !important; }
+  .is-size-7-mobile {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-size-1-tablet {
+    font-size: 3rem !important; }
+  .is-size-2-tablet {
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+    font-size: 2rem !important; }
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+    font-size: 1.5rem !important; }
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+    font-size: 1.25rem !important; }
+  .is-size-6-tablet {
+    font-size: 1rem !important; }
+  .is-size-7-tablet {
+    font-size: 0.75rem !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-size-1-touch {
+    font-size: 3rem !important; }
+  .is-size-2-touch {
+    font-size: 2.5rem !important; }
+  .is-size-3-touch {
+    font-size: 2rem !important; }
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+    font-size: 1.5rem !important; }
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+    font-size: 1.25rem !important; }
+  .is-size-6-touch {
+    font-size: 1rem !important; }
+  .is-size-7-touch {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-size-1-desktop {
+    font-size: 3rem !important; }
+  .is-size-2-desktop {
+    font-size: 2.5rem !important; }
+  .is-size-3-desktop {
+    font-size: 2rem !important; }
+  .is-size-4-desktop {
+    font-size: 1.5rem !important; }
+  .is-size-5-desktop {
+    font-size: 1.25rem !important; }
+  .is-size-6-desktop {
+    font-size: 1rem !important; }
+  .is-size-7-desktop {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-size-1-widescreen {
+    font-size: 3rem !important; }
+  .is-size-2-widescreen {
+    font-size: 2.5rem !important; }
+  .is-size-3-widescreen {
+    font-size: 2rem !important; }
+  .is-size-4-widescreen {
+    font-size: 1.5rem !important; }
+  .is-size-5-widescreen {
+    font-size: 1.25rem !important; }
+  .is-size-6-widescreen {
+    font-size: 1rem !important; }
+  .is-size-7-widescreen {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-size-1-fullhd {
+    font-size: 3rem !important; }
+  .is-size-2-fullhd {
+    font-size: 2.5rem !important; }
+  .is-size-3-fullhd {
+    font-size: 2rem !important; }
+  .is-size-4-fullhd {
+    font-size: 1.5rem !important; }
+  .is-size-5-fullhd {
+    font-size: 1.25rem !important; }
+  .is-size-6-fullhd {
+    font-size: 1rem !important; }
+  .is-size-7-fullhd {
+    font-size: 0.75rem !important; } }
+
+.has-text-centered {
+  text-align: center !important; }
+
+.has-text-justified {
+  text-align: justify !important; }
+
+.has-text-left {
+  text-align: left !important; }
+
+.has-text-right {
+  text-align: right !important; }
+
+@media screen and (max-width: 768px) {
+  .has-text-centered-mobile {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-centered-tablet {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-centered-tablet-only {
+    text-align: center !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-centered-touch {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-centered-desktop {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-centered-desktop-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-centered-widescreen {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-centered-widescreen-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-centered-fullhd {
+    text-align: center !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-justified-mobile {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-justified-tablet {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-justified-tablet-only {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-justified-touch {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-justified-desktop {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-justified-desktop-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-justified-widescreen {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-justified-widescreen-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-justified-fullhd {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-left-mobile {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-left-tablet {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-left-tablet-only {
+    text-align: left !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-left-touch {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-left-desktop {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-left-desktop-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-left-widescreen {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-left-widescreen-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-left-fullhd {
+    text-align: left !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-right-mobile {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-right-tablet {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-right-tablet-only {
+    text-align: right !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-right-touch {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-right-desktop {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-right-desktop-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-right-widescreen {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-right-widescreen-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-right-fullhd {
+    text-align: right !important; } }
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+.is-capitalized {
+  text-transform: capitalize !important; }
+
+.is-lowercase {
+  text-transform: lowercase !important; }
+
+.is-uppercase {
+  text-transform: uppercase !important; }
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+.is-italic {
+  font-style: italic !important; }
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+.has-text-white {
+  color: white !important; }
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+a.has-text-white:hover, a.has-text-white:focus {
+  color: #e6e6e6 !important; }
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+.has-background-white {
+  background-color: white !important; }
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+.has-text-black {
+  color: #0a0a0a !important; }
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+a.has-text-black:hover, a.has-text-black:focus {
+  color: black !important; }
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+.has-background-black {
+  background-color: #0a0a0a !important; }
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+.has-text-light {
+  color: whitesmoke !important; }
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+a.has-text-light:hover, a.has-text-light:focus {
+  color: #dbdbdb !important; }
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+.has-background-light {
+  background-color: whitesmoke !important; }
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+.has-text-dark {
+  color: #363636 !important; }
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+a.has-text-dark:hover, a.has-text-dark:focus {
+  color: #1c1c1c !important; }
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+.has-background-dark {
+  background-color: #363636 !important; }
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+.has-text-primary {
+  color: #4eb5de !important; }
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+a.has-text-primary:hover, a.has-text-primary:focus {
+  color: #27a1d2 !important; }
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+.has-background-primary {
+  background-color: #4eb5de !important; }
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+.has-text-link {
+  color: #2e63b8 !important; }
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+a.has-text-link:hover, a.has-text-link:focus {
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+.has-background-link {
+  background-color: #2e63b8 !important; }
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+.has-text-info {
+  color: #209cee !important; }
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+a.has-text-info:hover, a.has-text-info:focus {
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+.has-background-info {
+  background-color: #209cee !important; }
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+.has-text-success {
+  color: #22c35b !important; }
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+a.has-text-success:hover, a.has-text-success:focus {
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+.has-background-success {
+  background-color: #22c35b !important; }
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+.has-text-warning {
+  color: #ffdd57 !important; }
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+a.has-text-warning:hover, a.has-text-warning:focus {
+  color: #ffd324 !important; }
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+.has-background-warning {
+  background-color: #ffdd57 !important; }
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+.has-text-danger {
+  color: #da0b00 !important; }
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+a.has-text-danger:hover, a.has-text-danger:focus {
+  color: #a70800 !important; }
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+.has-background-danger {
+  background-color: #da0b00 !important; }
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+.has-text-black-bis {
+  color: #121212 !important; }
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+.has-background-black-bis {
+  background-color: #121212 !important; }
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+.has-text-black-ter {
+  color: #242424 !important; }
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+.has-background-black-ter {
+  background-color: #242424 !important; }
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+.has-text-grey-darker {
+  color: #363636 !important; }
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+.has-background-grey-darker {
+  background-color: #363636 !important; }
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+.has-text-grey-dark {
+  color: #4a4a4a !important; }
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+.has-background-grey-dark {
+  background-color: #4a4a4a !important; }
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+.has-text-grey {
+  color: #6b6b6b !important; }
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+.has-background-grey {
+  background-color: #6b6b6b !important; }
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+.has-text-grey-light {
+  color: #b5b5b5 !important; }
+
+.has-background-grey-light {
+  background-color: #b5b5b5 !important; }
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+.has-text-grey-lighter {
+  color: #dbdbdb !important; }
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+.has-background-grey-lighter {
+  background-color: #dbdbdb !important; }
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+.has-text-white-ter {
+  color: whitesmoke !important; }
+
+.has-background-white-ter {
+  background-color: whitesmoke !important; }
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+.has-text-white-bis {
+  color: #fafafa !important; }
+
+.has-background-white-bis {
+  background-color: #fafafa !important; }
+
+.has-text-weight-light {
+  font-weight: 300 !important; }
+
+.has-text-weight-normal {
+  font-weight: 400 !important; }
+
+.has-text-weight-medium {
+  font-weight: 500 !important; }
+
+.has-text-weight-semibold {
+  font-weight: 600 !important; }
+
+.has-text-weight-bold {
+  font-weight: 700 !important; }
+
+.is-family-primary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-secondary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-sans-serif {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-monospace {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-family-code {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-block {
+  display: block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-block-mobile {
+    display: block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-block-tablet {
+    display: block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-block-tablet-only {
+    display: block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-block-touch {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-block-desktop {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-block-desktop-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-block-widescreen {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-block-widescreen-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-block-fullhd {
+    display: block !important; } }
+
+.is-flex {
+  display: flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-flex-mobile {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-flex-tablet {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-flex-tablet-only {
+    display: flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-flex-touch {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-flex-desktop {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-flex-desktop-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-flex-widescreen {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-flex-widescreen-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-flex-fullhd {
+    display: flex !important; } }
+
+.is-inline {
+  display: inline !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-mobile {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-tablet {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-tablet-only {
+    display: inline !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-touch {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-desktop {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-desktop-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-widescreen {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-widescreen-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-fullhd {
+    display: inline !important; } }
+
+.is-inline-block {
+  display: inline-block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-block-mobile {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-block-tablet {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-block-tablet-only {
+    display: inline-block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-block-touch {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-block-desktop {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-block-desktop-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-block-widescreen {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-block-widescreen-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-block-fullhd {
+    display: inline-block !important; } }
+
+.is-inline-flex {
+  display: inline-flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-flex-mobile {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-flex-tablet {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-flex-tablet-only {
+    display: inline-flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-flex-touch {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-flex-desktop {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-flex-desktop-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-flex-widescreen {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-flex-widescreen-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-flex-fullhd {
+    display: inline-flex !important; } }
+
+.is-hidden {
+  display: none !important; }
+
+.is-sr-only {
+  border: none !important;
+  clip: rect(0, 0, 0, 0) !important;
+  height: 0.01em !important;
+  overflow: hidden !important;
+  padding: 0 !important;
+  position: absolute !important;
+  white-space: nowrap !important;
+  width: 0.01em !important; }
+
+@media screen and (max-width: 768px) {
+  .is-hidden-mobile {
+    display: none !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-hidden-tablet {
+    display: none !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-hidden-tablet-only {
+    display: none !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-hidden-touch {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-hidden-desktop {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-hidden-desktop-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-hidden-widescreen {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-hidden-widescreen-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-hidden-fullhd {
+    display: none !important; } }
+
+.is-invisible {
+  visibility: hidden !important; }
+
+@media screen and (max-width: 768px) {
+  .is-invisible-mobile {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-invisible-tablet {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-invisible-tablet-only {
+    visibility: hidden !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-invisible-touch {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-invisible-desktop {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-invisible-desktop-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-invisible-widescreen {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-invisible-widescreen-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-invisible-fullhd {
+    visibility: hidden !important; } }
+
+.is-marginless {
+  margin: 0 !important; }
+
+.is-paddingless {
+  padding: 0 !important; }
+
+.is-radiusless {
+  border-radius: 0 !important; }
+
+.is-shadowless {
+  box-shadow: none !important; }
+
+.is-relative {
+  position: relative !important; }
+
+.box {
+  background-color: white;
+  border-radius: 6px;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+  color: #222222;
+  display: block;
+  padding: 1.25rem; }
+
+a.box:hover, a.box:focus {
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px #2e63b8; }
+
+a.box:active {
+  box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2), 0 0 0 1px #2e63b8; }
+
+.button {
+  background-color: white;
+  border-color: #dbdbdb;
+  border-width: 1px;
+  color: #363636;
+  cursor: pointer;
+  justify-content: center;
+  padding-bottom: calc(0.375em - 1px);
+  padding-left: 0.75em;
+  padding-right: 0.75em;
+  padding-top: calc(0.375em - 1px);
+  text-align: center;
+  white-space: nowrap; }
+  .button strong {
+    color: inherit; }
+  .button .icon, .button .icon.is-small, .button #documenter .docs-sidebar form.docs-search > input.icon, #documenter .docs-sidebar .button form.docs-search > input.icon, .button .icon.is-medium, .button .icon.is-large {
+    height: 1.5em;
+    width: 1.5em; }
+  .button .icon:first-child:not(:last-child) {
+    margin-left: calc(-0.375em - 1px);
+    margin-right: 0.1875em; }
+  .button .icon:last-child:not(:first-child) {
+    margin-left: 0.1875em;
+    margin-right: calc(-0.375em - 1px); }
+  .button .icon:first-child:last-child {
+    margin-left: calc(-0.375em - 1px);
+    margin-right: calc(-0.375em - 1px); }
+  .button:hover, .button.is-hovered {
+    border-color: #b5b5b5;
+    color: #363636; }
+  .button:focus, .button.is-focused {
+    border-color: #3c5dcd;
+    color: #363636; }
+    .button:focus:not(:active), .button.is-focused:not(:active) {
+      box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .button:active, .button.is-active {
+    border-color: #4a4a4a;
+    color: #363636; }
+  .button.is-text {
+    background-color: transparent;
+    border-color: transparent;
+    color: #222222;
+    text-decoration: underline; }
+    .button.is-text:hover, .button.is-text.is-hovered, .button.is-text:focus, .button.is-text.is-focused {
+      background-color: whitesmoke;
+      color: #222222; }
+    .button.is-text:active, .button.is-text.is-active {
+      background-color: #e8e8e8;
+      color: #222222; }
+    .button.is-text[disabled], fieldset[disabled] .button.is-text {
+      background-color: transparent;
+      border-color: transparent;
+      box-shadow: none; }
+  .button.is-white {
+    background-color: white;
+    border-color: transparent;
+    color: #0a0a0a; }
+    .button.is-white:hover, .button.is-white.is-hovered {
+      background-color: #f9f9f9;
+      border-color: transparent;
+      color: #0a0a0a; }
+    .button.is-white:focus, .button.is-white.is-focused {
+      border-color: transparent;
+      color: #0a0a0a; }
+      .button.is-white:focus:not(:active), .button.is-white.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+    .button.is-white:active, .button.is-white.is-active {
+      background-color: #f2f2f2;
+      border-color: transparent;
+      color: #0a0a0a; }
+    .button.is-white[disabled], fieldset[disabled] .button.is-white {
+      background-color: white;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-white.is-inverted {
+      background-color: #0a0a0a;
+      color: white; }
+      .button.is-white.is-inverted:hover, .button.is-white.is-inverted.is-hovered {
+        background-color: black; }
+      .button.is-white.is-inverted[disabled], fieldset[disabled] .button.is-white.is-inverted {
+        background-color: #0a0a0a;
+        border-color: transparent;
+        box-shadow: none;
+        color: white; }
+    .button.is-white.is-loading::after {
+      border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+    .button.is-white.is-outlined {
+      background-color: transparent;
+      border-color: white;
+      color: white; }
+      .button.is-white.is-outlined:hover, .button.is-white.is-outlined.is-hovered, .button.is-white.is-outlined:focus, .button.is-white.is-outlined.is-focused {
+        background-color: white;
+        border-color: white;
+        color: #0a0a0a; }
+      .button.is-white.is-outlined.is-loading::after {
+        border-color: transparent transparent white white !important; }
+      .button.is-white.is-outlined.is-loading:hover::after, .button.is-white.is-outlined.is-loading.is-hovered::after, .button.is-white.is-outlined.is-loading:focus::after, .button.is-white.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      .button.is-white.is-outlined[disabled], fieldset[disabled] .button.is-white.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        box-shadow: none;
+        color: white; }
+    .button.is-white.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #0a0a0a;
+      color: #0a0a0a; }
+      .button.is-white.is-inverted.is-outlined:hover, .button.is-white.is-inverted.is-outlined.is-hovered, .button.is-white.is-inverted.is-outlined:focus, .button.is-white.is-inverted.is-outlined.is-focused {
+        background-color: #0a0a0a;
+        color: white; }
+      .button.is-white.is-inverted.is-outlined.is-loading:hover::after, .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-white.is-inverted.is-outlined.is-loading:focus::after, .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent white white !important; }
+      .button.is-white.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-white.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        box-shadow: none;
+        color: #0a0a0a; }
+  .button.is-black {
+    background-color: #0a0a0a;
+    border-color: transparent;
+    color: white; }
+    .button.is-black:hover, .button.is-black.is-hovered {
+      background-color: #040404;
+      border-color: transparent;
+      color: white; }
+    .button.is-black:focus, .button.is-black.is-focused {
+      border-color: transparent;
+      color: white; }
+      .button.is-black:focus:not(:active), .button.is-black.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+    .button.is-black:active, .button.is-black.is-active {
+      background-color: black;
+      border-color: transparent;
+      color: white; }
+    .button.is-black[disabled], fieldset[disabled] .button.is-black {
+      background-color: #0a0a0a;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-black.is-inverted {
+      background-color: white;
+      color: #0a0a0a; }
+      .button.is-black.is-inverted:hover, .button.is-black.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-black.is-inverted[disabled], fieldset[disabled] .button.is-black.is-inverted {
+        background-color: white;
+        border-color: transparent;
+        box-shadow: none;
+        color: #0a0a0a; }
+    .button.is-black.is-loading::after {
+      border-color: transparent transparent white white !important; }
+    .button.is-black.is-outlined {
+      background-color: transparent;
+      border-color: #0a0a0a;
+      color: #0a0a0a; }
+      .button.is-black.is-outlined:hover, .button.is-black.is-outlined.is-hovered, .button.is-black.is-outlined:focus, .button.is-black.is-outlined.is-focused {
+        background-color: #0a0a0a;
+        border-color: #0a0a0a;
+        color: white; }
+      .button.is-black.is-outlined.is-loading::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      .button.is-black.is-outlined.is-loading:hover::after, .button.is-black.is-outlined.is-loading.is-hovered::after, .button.is-black.is-outlined.is-loading:focus::after, .button.is-black.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent white white !important; }
+      .button.is-black.is-outlined[disabled], fieldset[disabled] .button.is-black.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        box-shadow: none;
+        color: #0a0a0a; }
+    .button.is-black.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: white;
+      color: white; }
+      .button.is-black.is-inverted.is-outlined:hover, .button.is-black.is-inverted.is-outlined.is-hovered, .button.is-black.is-inverted.is-outlined:focus, .button.is-black.is-inverted.is-outlined.is-focused {
+        background-color: white;
+        color: #0a0a0a; }
+      .button.is-black.is-inverted.is-outlined.is-loading:hover::after, .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-black.is-inverted.is-outlined.is-loading:focus::after, .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      .button.is-black.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-black.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        box-shadow: none;
+        color: white; }
+  .button.is-light {
+    background-color: whitesmoke;
+    border-color: transparent;
+    color: #363636; }
+    .button.is-light:hover, .button.is-light.is-hovered {
+      background-color: #eeeeee;
+      border-color: transparent;
+      color: #363636; }
+    .button.is-light:focus, .button.is-light.is-focused {
+      border-color: transparent;
+      color: #363636; }
+      .button.is-light:focus:not(:active), .button.is-light.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); }
+    .button.is-light:active, .button.is-light.is-active {
+      background-color: #e8e8e8;
+      border-color: transparent;
+      color: #363636; }
+    .button.is-light[disabled], fieldset[disabled] .button.is-light {
+      background-color: whitesmoke;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-light.is-inverted {
+      background-color: #363636;
+      color: whitesmoke; }
+      .button.is-light.is-inverted:hover, .button.is-light.is-inverted.is-hovered {
+        background-color: #292929; }
+      .button.is-light.is-inverted[disabled], fieldset[disabled] .button.is-light.is-inverted {
+        background-color: #363636;
+        border-color: transparent;
+        box-shadow: none;
+        color: whitesmoke; }
+    .button.is-light.is-loading::after {
+      border-color: transparent transparent #363636 #363636 !important; }
+    .button.is-light.is-outlined {
+      background-color: transparent;
+      border-color: whitesmoke;
+      color: whitesmoke; }
+      .button.is-light.is-outlined:hover, .button.is-light.is-outlined.is-hovered, .button.is-light.is-outlined:focus, .button.is-light.is-outlined.is-focused {
+        background-color: whitesmoke;
+        border-color: whitesmoke;
+        color: #363636; }
+      .button.is-light.is-outlined.is-loading::after {
+        border-color: transparent transparent whitesmoke whitesmoke !important; }
+      .button.is-light.is-outlined.is-loading:hover::after, .button.is-light.is-outlined.is-loading.is-hovered::after, .button.is-light.is-outlined.is-loading:focus::after, .button.is-light.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #363636 #363636 !important; }
+      .button.is-light.is-outlined[disabled], fieldset[disabled] .button.is-light.is-outlined {
+        background-color: transparent;
+        border-color: whitesmoke;
+        box-shadow: none;
+        color: whitesmoke; }
+    .button.is-light.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #363636;
+      color: #363636; }
+      .button.is-light.is-inverted.is-outlined:hover, .button.is-light.is-inverted.is-outlined.is-hovered, .button.is-light.is-inverted.is-outlined:focus, .button.is-light.is-inverted.is-outlined.is-focused {
+        background-color: #363636;
+        color: whitesmoke; }
+      .button.is-light.is-inverted.is-outlined.is-loading:hover::after, .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-light.is-inverted.is-outlined.is-loading:focus::after, .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent whitesmoke whitesmoke !important; }
+      .button.is-light.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-light.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #363636;
+        box-shadow: none;
+        color: #363636; }
+  .button.is-dark, .content kbd.button {
+    background-color: #363636;
+    border-color: transparent;
+    color: whitesmoke; }
+    .button.is-dark:hover, .content kbd.button:hover, .button.is-dark.is-hovered, .content kbd.button.is-hovered {
+      background-color: #2f2f2f;
+      border-color: transparent;
+      color: whitesmoke; }
+    .button.is-dark:focus, .content kbd.button:focus, .button.is-dark.is-focused, .content kbd.button.is-focused {
+      border-color: transparent;
+      color: whitesmoke; }
+      .button.is-dark:focus:not(:active), .content kbd.button:focus:not(:active), .button.is-dark.is-focused:not(:active), .content kbd.button.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); }
+    .button.is-dark:active, .content kbd.button:active, .button.is-dark.is-active, .content kbd.button.is-active {
+      background-color: #292929;
+      border-color: transparent;
+      color: whitesmoke; }
+    .button.is-dark[disabled], .content kbd.button[disabled], fieldset[disabled] .button.is-dark, fieldset[disabled] .content kbd.button, .content fieldset[disabled] kbd.button {
+      background-color: #363636;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-dark.is-inverted, .content kbd.button.is-inverted {
+      background-color: whitesmoke;
+      color: #363636; }
+      .button.is-dark.is-inverted:hover, .content kbd.button.is-inverted:hover, .button.is-dark.is-inverted.is-hovered, .content kbd.button.is-inverted.is-hovered {
+        background-color: #e8e8e8; }
+      .button.is-dark.is-inverted[disabled], .content kbd.button.is-inverted[disabled], fieldset[disabled] .button.is-dark.is-inverted, fieldset[disabled] .content kbd.button.is-inverted, .content fieldset[disabled] kbd.button.is-inverted {
+        background-color: whitesmoke;
+        border-color: transparent;
+        box-shadow: none;
+        color: #363636; }
+    .button.is-dark.is-loading::after, .content kbd.button.is-loading::after {
+      border-color: transparent transparent whitesmoke whitesmoke !important; }
+    .button.is-dark.is-outlined, .content kbd.button.is-outlined {
+      background-color: transparent;
+      border-color: #363636;
+      color: #363636; }
+      .button.is-dark.is-outlined:hover, .content kbd.button.is-outlined:hover, .button.is-dark.is-outlined.is-hovered, .content kbd.button.is-outlined.is-hovered, .button.is-dark.is-outlined:focus, .content kbd.button.is-outlined:focus, .button.is-dark.is-outlined.is-focused, .content kbd.button.is-outlined.is-focused {
+        background-color: #363636;
+        border-color: #363636;
+        color: whitesmoke; }
+      .button.is-dark.is-outlined.is-loading::after, .content kbd.button.is-outlined.is-loading::after {
+        border-color: transparent transparent #363636 #363636 !important; }
+      .button.is-dark.is-outlined.is-loading:hover::after, .content kbd.button.is-outlined.is-loading:hover::after, .button.is-dark.is-outlined.is-loading.is-hovered::after, .content kbd.button.is-outlined.is-loading.is-hovered::after, .button.is-dark.is-outlined.is-loading:focus::after, .content kbd.button.is-outlined.is-loading:focus::after, .button.is-dark.is-outlined.is-loading.is-focused::after, .content kbd.button.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent whitesmoke whitesmoke !important; }
+      .button.is-dark.is-outlined[disabled], .content kbd.button.is-outlined[disabled], fieldset[disabled] .button.is-dark.is-outlined, fieldset[disabled] .content kbd.button.is-outlined, .content fieldset[disabled] kbd.button.is-outlined {
+        background-color: transparent;
+        border-color: #363636;
+        box-shadow: none;
+        color: #363636; }
+    .button.is-dark.is-inverted.is-outlined, .content kbd.button.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: whitesmoke;
+      color: whitesmoke; }
+      .button.is-dark.is-inverted.is-outlined:hover, .content kbd.button.is-inverted.is-outlined:hover, .button.is-dark.is-inverted.is-outlined.is-hovered, .content kbd.button.is-inverted.is-outlined.is-hovered, .button.is-dark.is-inverted.is-outlined:focus, .content kbd.button.is-inverted.is-outlined:focus, .button.is-dark.is-inverted.is-outlined.is-focused, .content kbd.button.is-inverted.is-outlined.is-focused {
+        background-color: whitesmoke;
+        color: #363636; }
+      .button.is-dark.is-inverted.is-outlined.is-loading:hover::after, .content kbd.button.is-inverted.is-outlined.is-loading:hover::after, .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after, .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-dark.is-inverted.is-outlined.is-loading:focus::after, .content kbd.button.is-inverted.is-outlined.is-loading:focus::after, .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after, .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #363636 #363636 !important; }
+      .button.is-dark.is-inverted.is-outlined[disabled], .content kbd.button.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-dark.is-inverted.is-outlined, fieldset[disabled] .content kbd.button.is-inverted.is-outlined, .content fieldset[disabled] kbd.button.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: whitesmoke;
+        box-shadow: none;
+        color: whitesmoke; }
+  .button.is-primary, .docstring > section > a.button.docs-sourcelink {
+    background-color: #4eb5de;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-primary:hover, .docstring > section > a.button.docs-sourcelink:hover, .button.is-primary.is-hovered, .docstring > section > a.button.is-hovered.docs-sourcelink {
+      background-color: #43b1dc;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-primary:focus, .docstring > section > a.button.docs-sourcelink:focus, .button.is-primary.is-focused, .docstring > section > a.button.is-focused.docs-sourcelink {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-primary:focus:not(:active), .docstring > section > a.button.docs-sourcelink:focus:not(:active), .button.is-primary.is-focused:not(:active), .docstring > section > a.button.is-focused.docs-sourcelink:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); }
+    .button.is-primary:active, .docstring > section > a.button.docs-sourcelink:active, .button.is-primary.is-active, .docstring > section > a.button.is-active.docs-sourcelink {
+      background-color: #39acda;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-primary[disabled], .docstring > section > a.button.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary, fieldset[disabled] .docstring > section > a.button.docs-sourcelink {
+      background-color: #4eb5de;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-primary.is-inverted, .docstring > section > a.button.is-inverted.docs-sourcelink {
+      background-color: #fff;
+      color: #4eb5de; }
+      .button.is-primary.is-inverted:hover, .docstring > section > a.button.is-inverted.docs-sourcelink:hover, .button.is-primary.is-inverted.is-hovered, .docstring > section > a.button.is-inverted.is-hovered.docs-sourcelink {
+        background-color: #f2f2f2; }
+      .button.is-primary.is-inverted[disabled], .docstring > section > a.button.is-inverted.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-inverted, fieldset[disabled] .docstring > section > a.button.is-inverted.docs-sourcelink {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #4eb5de; }
+    .button.is-primary.is-loading::after, .docstring > section > a.button.is-loading.docs-sourcelink::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-primary.is-outlined, .docstring > section > a.button.is-outlined.docs-sourcelink {
+      background-color: transparent;
+      border-color: #4eb5de;
+      color: #4eb5de; }
+      .button.is-primary.is-outlined:hover, .docstring > section > a.button.is-outlined.docs-sourcelink:hover, .button.is-primary.is-outlined.is-hovered, .docstring > section > a.button.is-outlined.is-hovered.docs-sourcelink, .button.is-primary.is-outlined:focus, .docstring > section > a.button.is-outlined.docs-sourcelink:focus, .button.is-primary.is-outlined.is-focused, .docstring > section > a.button.is-outlined.is-focused.docs-sourcelink {
+        background-color: #4eb5de;
+        border-color: #4eb5de;
+        color: #fff; }
+      .button.is-primary.is-outlined.is-loading::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink::after {
+        border-color: transparent transparent #4eb5de #4eb5de !important; }
+      .button.is-primary.is-outlined.is-loading:hover::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:hover::after, .button.is-primary.is-outlined.is-loading.is-hovered::after, .docstring > section > a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after, .button.is-primary.is-outlined.is-loading:focus::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:focus::after, .button.is-primary.is-outlined.is-loading.is-focused::after, .docstring > section > a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-primary.is-outlined[disabled], .docstring > section > a.button.is-outlined.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-outlined, fieldset[disabled] .docstring > section > a.button.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #4eb5de;
+        box-shadow: none;
+        color: #4eb5de; }
+    .button.is-primary.is-inverted.is-outlined, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-primary.is-inverted.is-outlined:hover, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:hover, .button.is-primary.is-inverted.is-outlined.is-hovered, .docstring > section > a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink, .button.is-primary.is-inverted.is-outlined:focus, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:focus, .button.is-primary.is-inverted.is-outlined.is-focused, .docstring > section > a.button.is-inverted.is-outlined.is-focused.docs-sourcelink {
+        background-color: #fff;
+        color: #4eb5de; }
+      .button.is-primary.is-inverted.is-outlined.is-loading:hover::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after, .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after, .button.is-primary.is-inverted.is-outlined.is-loading:focus::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after, .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+        border-color: transparent transparent #4eb5de #4eb5de !important; }
+      .button.is-primary.is-inverted.is-outlined[disabled], .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-inverted.is-outlined, fieldset[disabled] .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-link {
+    background-color: #2e63b8;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-link:hover, .button.is-link.is-hovered {
+      background-color: #2b5eae;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-link:focus, .button.is-link.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-link:focus:not(:active), .button.is-link.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+    .button.is-link:active, .button.is-link.is-active {
+      background-color: #2958a4;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-link[disabled], fieldset[disabled] .button.is-link {
+      background-color: #2e63b8;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-link.is-inverted {
+      background-color: #fff;
+      color: #2e63b8; }
+      .button.is-link.is-inverted:hover, .button.is-link.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-link.is-inverted[disabled], fieldset[disabled] .button.is-link.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #2e63b8; }
+    .button.is-link.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-link.is-outlined {
+      background-color: transparent;
+      border-color: #2e63b8;
+      color: #2e63b8; }
+      .button.is-link.is-outlined:hover, .button.is-link.is-outlined.is-hovered, .button.is-link.is-outlined:focus, .button.is-link.is-outlined.is-focused {
+        background-color: #2e63b8;
+        border-color: #2e63b8;
+        color: #fff; }
+      .button.is-link.is-outlined.is-loading::after {
+        border-color: transparent transparent #2e63b8 #2e63b8 !important; }
+      .button.is-link.is-outlined.is-loading:hover::after, .button.is-link.is-outlined.is-loading.is-hovered::after, .button.is-link.is-outlined.is-loading:focus::after, .button.is-link.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-link.is-outlined[disabled], fieldset[disabled] .button.is-link.is-outlined {
+        background-color: transparent;
+        border-color: #2e63b8;
+        box-shadow: none;
+        color: #2e63b8; }
+    .button.is-link.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-link.is-inverted.is-outlined:hover, .button.is-link.is-inverted.is-outlined.is-hovered, .button.is-link.is-inverted.is-outlined:focus, .button.is-link.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #2e63b8; }
+      .button.is-link.is-inverted.is-outlined.is-loading:hover::after, .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-link.is-inverted.is-outlined.is-loading:focus::after, .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #2e63b8 #2e63b8 !important; }
+      .button.is-link.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-link.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-info {
+    background-color: #209cee;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-info:hover, .button.is-info.is-hovered {
+      background-color: #1497ed;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-info:focus, .button.is-info.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-info:focus:not(:active), .button.is-info.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); }
+    .button.is-info:active, .button.is-info.is-active {
+      background-color: #1190e3;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-info[disabled], fieldset[disabled] .button.is-info {
+      background-color: #209cee;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-info.is-inverted {
+      background-color: #fff;
+      color: #209cee; }
+      .button.is-info.is-inverted:hover, .button.is-info.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-info.is-inverted[disabled], fieldset[disabled] .button.is-info.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #209cee; }
+    .button.is-info.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-info.is-outlined {
+      background-color: transparent;
+      border-color: #209cee;
+      color: #209cee; }
+      .button.is-info.is-outlined:hover, .button.is-info.is-outlined.is-hovered, .button.is-info.is-outlined:focus, .button.is-info.is-outlined.is-focused {
+        background-color: #209cee;
+        border-color: #209cee;
+        color: #fff; }
+      .button.is-info.is-outlined.is-loading::after {
+        border-color: transparent transparent #209cee #209cee !important; }
+      .button.is-info.is-outlined.is-loading:hover::after, .button.is-info.is-outlined.is-loading.is-hovered::after, .button.is-info.is-outlined.is-loading:focus::after, .button.is-info.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-info.is-outlined[disabled], fieldset[disabled] .button.is-info.is-outlined {
+        background-color: transparent;
+        border-color: #209cee;
+        box-shadow: none;
+        color: #209cee; }
+    .button.is-info.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-info.is-inverted.is-outlined:hover, .button.is-info.is-inverted.is-outlined.is-hovered, .button.is-info.is-inverted.is-outlined:focus, .button.is-info.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #209cee; }
+      .button.is-info.is-inverted.is-outlined.is-loading:hover::after, .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-info.is-inverted.is-outlined.is-loading:focus::after, .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #209cee #209cee !important; }
+      .button.is-info.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-info.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-success {
+    background-color: #22c35b;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-success:hover, .button.is-success.is-hovered {
+      background-color: #20b856;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-success:focus, .button.is-success.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-success:focus:not(:active), .button.is-success.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); }
+    .button.is-success:active, .button.is-success.is-active {
+      background-color: #1ead51;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-success[disabled], fieldset[disabled] .button.is-success {
+      background-color: #22c35b;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-success.is-inverted {
+      background-color: #fff;
+      color: #22c35b; }
+      .button.is-success.is-inverted:hover, .button.is-success.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-success.is-inverted[disabled], fieldset[disabled] .button.is-success.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #22c35b; }
+    .button.is-success.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-success.is-outlined {
+      background-color: transparent;
+      border-color: #22c35b;
+      color: #22c35b; }
+      .button.is-success.is-outlined:hover, .button.is-success.is-outlined.is-hovered, .button.is-success.is-outlined:focus, .button.is-success.is-outlined.is-focused {
+        background-color: #22c35b;
+        border-color: #22c35b;
+        color: #fff; }
+      .button.is-success.is-outlined.is-loading::after {
+        border-color: transparent transparent #22c35b #22c35b !important; }
+      .button.is-success.is-outlined.is-loading:hover::after, .button.is-success.is-outlined.is-loading.is-hovered::after, .button.is-success.is-outlined.is-loading:focus::after, .button.is-success.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-success.is-outlined[disabled], fieldset[disabled] .button.is-success.is-outlined {
+        background-color: transparent;
+        border-color: #22c35b;
+        box-shadow: none;
+        color: #22c35b; }
+    .button.is-success.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-success.is-inverted.is-outlined:hover, .button.is-success.is-inverted.is-outlined.is-hovered, .button.is-success.is-inverted.is-outlined:focus, .button.is-success.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #22c35b; }
+      .button.is-success.is-inverted.is-outlined.is-loading:hover::after, .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-success.is-inverted.is-outlined.is-loading:focus::after, .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #22c35b #22c35b !important; }
+      .button.is-success.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-success.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-warning {
+    background-color: #ffdd57;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+    .button.is-warning:hover, .button.is-warning.is-hovered {
+      background-color: #ffda4a;
+      border-color: transparent;
+      color: rgba(0, 0, 0, 0.7); }
+    .button.is-warning:focus, .button.is-warning.is-focused {
+      border-color: transparent;
+      color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning:focus:not(:active), .button.is-warning.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); }
+    .button.is-warning:active, .button.is-warning.is-active {
+      background-color: #ffd83e;
+      border-color: transparent;
+      color: rgba(0, 0, 0, 0.7); }
+    .button.is-warning[disabled], fieldset[disabled] .button.is-warning {
+      background-color: #ffdd57;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-warning.is-inverted {
+      background-color: rgba(0, 0, 0, 0.7);
+      color: #ffdd57; }
+      .button.is-warning.is-inverted:hover, .button.is-warning.is-inverted.is-hovered {
+        background-color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning.is-inverted[disabled], fieldset[disabled] .button.is-warning.is-inverted {
+        background-color: rgba(0, 0, 0, 0.7);
+        border-color: transparent;
+        box-shadow: none;
+        color: #ffdd57; }
+    .button.is-warning.is-loading::after {
+      border-color: transparent transparent rgba(0, 0, 0, 0.7) rgba(0, 0, 0, 0.7) !important; }
+    .button.is-warning.is-outlined {
+      background-color: transparent;
+      border-color: #ffdd57;
+      color: #ffdd57; }
+      .button.is-warning.is-outlined:hover, .button.is-warning.is-outlined.is-hovered, .button.is-warning.is-outlined:focus, .button.is-warning.is-outlined.is-focused {
+        background-color: #ffdd57;
+        border-color: #ffdd57;
+        color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning.is-outlined.is-loading::after {
+        border-color: transparent transparent #ffdd57 #ffdd57 !important; }
+      .button.is-warning.is-outlined.is-loading:hover::after, .button.is-warning.is-outlined.is-loading.is-hovered::after, .button.is-warning.is-outlined.is-loading:focus::after, .button.is-warning.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent rgba(0, 0, 0, 0.7) rgba(0, 0, 0, 0.7) !important; }
+      .button.is-warning.is-outlined[disabled], fieldset[disabled] .button.is-warning.is-outlined {
+        background-color: transparent;
+        border-color: #ffdd57;
+        box-shadow: none;
+        color: #ffdd57; }
+    .button.is-warning.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: rgba(0, 0, 0, 0.7);
+      color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning.is-inverted.is-outlined:hover, .button.is-warning.is-inverted.is-outlined.is-hovered, .button.is-warning.is-inverted.is-outlined:focus, .button.is-warning.is-inverted.is-outlined.is-focused {
+        background-color: rgba(0, 0, 0, 0.7);
+        color: #ffdd57; }
+      .button.is-warning.is-inverted.is-outlined.is-loading:hover::after, .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-warning.is-inverted.is-outlined.is-loading:focus::after, .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #ffdd57 #ffdd57 !important; }
+      .button.is-warning.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-warning.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: rgba(0, 0, 0, 0.7);
+        box-shadow: none;
+        color: rgba(0, 0, 0, 0.7); }
+  .button.is-danger {
+    background-color: #da0b00;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-danger:hover, .button.is-danger.is-hovered {
+      background-color: #cd0a00;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-danger:focus, .button.is-danger.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-danger:focus:not(:active), .button.is-danger.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); }
+    .button.is-danger:active, .button.is-danger.is-active {
+      background-color: #c10a00;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-danger[disabled], fieldset[disabled] .button.is-danger {
+      background-color: #da0b00;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-danger.is-inverted {
+      background-color: #fff;
+      color: #da0b00; }
+      .button.is-danger.is-inverted:hover, .button.is-danger.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-danger.is-inverted[disabled], fieldset[disabled] .button.is-danger.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #da0b00; }
+    .button.is-danger.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-danger.is-outlined {
+      background-color: transparent;
+      border-color: #da0b00;
+      color: #da0b00; }
+      .button.is-danger.is-outlined:hover, .button.is-danger.is-outlined.is-hovered, .button.is-danger.is-outlined:focus, .button.is-danger.is-outlined.is-focused {
+        background-color: #da0b00;
+        border-color: #da0b00;
+        color: #fff; }
+      .button.is-danger.is-outlined.is-loading::after {
+        border-color: transparent transparent #da0b00 #da0b00 !important; }
+      .button.is-danger.is-outlined.is-loading:hover::after, .button.is-danger.is-outlined.is-loading.is-hovered::after, .button.is-danger.is-outlined.is-loading:focus::after, .button.is-danger.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-danger.is-outlined[disabled], fieldset[disabled] .button.is-danger.is-outlined {
+        background-color: transparent;
+        border-color: #da0b00;
+        box-shadow: none;
+        color: #da0b00; }
+    .button.is-danger.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-danger.is-inverted.is-outlined:hover, .button.is-danger.is-inverted.is-outlined.is-hovered, .button.is-danger.is-inverted.is-outlined:focus, .button.is-danger.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #da0b00; }
+      .button.is-danger.is-inverted.is-outlined.is-loading:hover::after, .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-danger.is-inverted.is-outlined.is-loading:focus::after, .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #da0b00 #da0b00 !important; }
+      .button.is-danger.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-danger.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-small, #documenter .docs-sidebar form.docs-search > input.button {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .button.is-normal {
+    font-size: 1rem; }
+  .button.is-medium {
+    font-size: 1.25rem; }
+  .button.is-large {
+    font-size: 1.5rem; }
+  .button[disabled], fieldset[disabled] .button {
+    background-color: white;
+    border-color: #dbdbdb;
+    box-shadow: none;
+    opacity: 0.5; }
+  .button.is-fullwidth {
+    display: flex;
+    width: 100%; }
+  .button.is-loading {
+    color: transparent !important;
+    pointer-events: none; }
+    .button.is-loading::after {
+      position: absolute;
+      left: calc(50% - (1em / 2));
+      top: calc(50% - (1em / 2));
+      position: absolute !important; }
+  .button.is-static {
+    background-color: whitesmoke;
+    border-color: #dbdbdb;
+    color: #6b6b6b;
+    box-shadow: none;
+    pointer-events: none; }
+  .button.is-rounded, #documenter .docs-sidebar form.docs-search > input.button {
+    border-radius: 290486px;
+    padding-left: 1em;
+    padding-right: 1em; }
+
+.buttons {
+  align-items: center;
+  display: flex;
+  flex-wrap: wrap;
+  justify-content: flex-start; }
+  .buttons .button {
+    margin-bottom: 0.5rem; }
+    .buttons .button:not(:last-child):not(.is-fullwidth) {
+      margin-right: 0.5rem; }
+  .buttons:last-child {
+    margin-bottom: -0.5rem; }
+  .buttons:not(:last-child) {
+    margin-bottom: 1rem; }
+  .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large) {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large) {
+    font-size: 1.25rem; }
+  .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium) {
+    font-size: 1.5rem; }
+  .buttons.has-addons .button:not(:first-child) {
+    border-bottom-left-radius: 0;
+    border-top-left-radius: 0; }
+  .buttons.has-addons .button:not(:last-child) {
+    border-bottom-right-radius: 0;
+    border-top-right-radius: 0;
+    margin-right: -1px; }
+  .buttons.has-addons .button:last-child {
+    margin-right: 0; }
+  .buttons.has-addons .button:hover, .buttons.has-addons .button.is-hovered {
+    z-index: 2; }
+  .buttons.has-addons .button:focus, .buttons.has-addons .button.is-focused, .buttons.has-addons .button:active, .buttons.has-addons .button.is-active, .buttons.has-addons .button.is-selected {
+    z-index: 3; }
+    .buttons.has-addons .button:focus:hover, .buttons.has-addons .button.is-focused:hover, .buttons.has-addons .button:active:hover, .buttons.has-addons .button.is-active:hover, .buttons.has-addons .button.is-selected:hover {
+      z-index: 4; }
+  .buttons.has-addons .button.is-expanded {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .buttons.is-centered {
+    justify-content: center; }
+    .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth) {
+      margin-left: 0.25rem;
+      margin-right: 0.25rem; }
+  .buttons.is-right {
+    justify-content: flex-end; }
+    .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth) {
+      margin-left: 0.25rem;
+      margin-right: 0.25rem; }
+
+.container {
+  flex-grow: 1;
+  margin: 0 auto;
+  position: relative;
+  width: auto; }
+  @media screen and (min-width: 1056px) {
+    .container {
+      max-width: 992px; }
+      .container.is-fluid {
+        margin-left: 32px;
+        margin-right: 32px;
+        max-width: none; } }
+  @media screen and (max-width: 1215px) {
+    .container.is-widescreen {
+      max-width: 1152px; } }
+  @media screen and (max-width: 1407px) {
+    .container.is-fullhd {
+      max-width: 1344px; } }
+  @media screen and (min-width: 1216px) {
+    .container {
+      max-width: 1152px; } }
+  @media screen and (min-width: 1408px) {
+    .container {
+      max-width: 1344px; } }
+.content li + li {
+  margin-top: 0.25em; }
+
+.content p:not(:last-child),
+.content dl:not(:last-child),
+.content ol:not(:last-child),
+.content ul:not(:last-child),
+.content blockquote:not(:last-child),
+.content pre:not(:last-child),
+.content table:not(:last-child) {
+  margin-bottom: 1em; }
+
+.content h1,
+.content h2,
+.content h3,
+.content h4,
+.content h5,
+.content h6 {
+  color: #222222;
+  font-weight: 600;
+  line-height: 1.125; }
+
+.content h1 {
+  font-size: 2em;
+  margin-bottom: 0.5em; }
+  .content h1:not(:first-child) {
+    margin-top: 1em; }
+
+.content h2 {
+  font-size: 1.75em;
+  margin-bottom: 0.5714em; }
+  .content h2:not(:first-child) {
+    margin-top: 1.1428em; }
+
+.content h3 {
+  font-size: 1.5em;
+  margin-bottom: 0.6666em; }
+  .content h3:not(:first-child) {
+    margin-top: 1.3333em; }
+
+.content h4 {
+  font-size: 1.25em;
+  margin-bottom: 0.8em; }
+
+.content h5 {
+  font-size: 1.125em;
+  margin-bottom: 0.8888em; }
+
+.content h6 {
+  font-size: 1em;
+  margin-bottom: 1em; }
+
+.content blockquote {
+  background-color: whitesmoke;
+  border-left: 5px solid #dbdbdb;
+  padding: 1.25em 1.5em; }
+
+.content ol {
+  list-style-position: outside;
+  margin-left: 2em;
+  margin-top: 1em; }
+  .content ol:not([type]) {
+    list-style-type: decimal; }
+    .content ol.is-lower-alpha:not([type]) {
+      list-style-type: lower-alpha; }
+    .content ol.is-lower-roman:not([type]) {
+      list-style-type: lower-roman; }
+    .content ol.is-upper-alpha:not([type]) {
+      list-style-type: upper-alpha; }
+    .content ol.is-upper-roman:not([type]) {
+      list-style-type: upper-roman; }
+
+.content ul {
+  list-style: disc outside;
+  margin-left: 2em;
+  margin-top: 1em; }
+  .content ul ul {
+    list-style-type: circle;
+    margin-top: 0.5em; }
+    .content ul ul ul {
+      list-style-type: square; }
+
+.content dd {
+  margin-left: 2em; }
+
+.content figure {
+  margin-left: 2em;
+  margin-right: 2em;
+  text-align: center; }
+  .content figure:not(:first-child) {
+    margin-top: 2em; }
+  .content figure:not(:last-child) {
+    margin-bottom: 2em; }
+  .content figure img {
+    display: inline-block; }
+  .content figure figcaption {
+    font-style: italic; }
+
+.content pre {
+  -webkit-overflow-scrolling: touch;
+  overflow-x: auto;
+  padding: 0;
+  white-space: pre;
+  word-wrap: normal; }
+
+.content sup,
+.content sub {
+  font-size: 75%; }
+
+.content table {
+  width: 100%; }
+  .content table td,
+  .content table th {
+    border: 1px solid #dbdbdb;
+    border-width: 0 0 1px;
+    padding: 0.5em 0.75em;
+    vertical-align: top; }
+  .content table th {
+    color: #222222; }
+    .content table th:not([align]) {
+      text-align: left; }
+  .content table thead td,
+  .content table thead th {
+    border-width: 0 0 2px;
+    color: #222222; }
+  .content table tfoot td,
+  .content table tfoot th {
+    border-width: 2px 0 0;
+    color: #222222; }
+  .content table tbody tr:last-child td,
+  .content table tbody tr:last-child th {
+    border-bottom-width: 0; }
+
+.content .tabs li + li {
+  margin-top: 0; }
+
+.content.is-small, #documenter .docs-sidebar form.docs-search > input.content {
+  font-size: 0.75rem; }
+
+.content.is-medium {
+  font-size: 1.25rem; }
+
+.content.is-large {
+  font-size: 1.5rem; }
+
+.icon {
+  align-items: center;
+  display: inline-flex;
+  justify-content: center;
+  height: 1.5rem;
+  width: 1.5rem; }
+  .icon.is-small, #documenter .docs-sidebar form.docs-search > input.icon {
+    height: 1rem;
+    width: 1rem; }
+  .icon.is-medium {
+    height: 2rem;
+    width: 2rem; }
+  .icon.is-large {
+    height: 3rem;
+    width: 3rem; }
+
+.image, #documenter .docs-sidebar .docs-logo > img {
+  display: block;
+  position: relative; }
+  .image img, #documenter .docs-sidebar .docs-logo > img img {
+    display: block;
+    height: auto;
+    width: 100%; }
+    .image img.is-rounded, #documenter .docs-sidebar .docs-logo > img img.is-rounded {
+      border-radius: 290486px; }
+  .image.is-square img, #documenter .docs-sidebar .docs-logo > img.is-square img,
+  .image.is-square .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, .image.is-1by1 img, #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+  .image.is-1by1 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, .image.is-5by4 img, #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+  .image.is-5by4 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, .image.is-4by3 img, #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+  .image.is-4by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, .image.is-3by2 img, #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+  .image.is-3by2 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, .image.is-5by3 img, #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+  .image.is-5by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, .image.is-16by9 img, #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+  .image.is-16by9 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, .image.is-2by1 img, #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+  .image.is-2by1 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, .image.is-3by1 img, #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+  .image.is-3by1 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, .image.is-4by5 img, #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+  .image.is-4by5 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, .image.is-3by4 img, #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+  .image.is-3by4 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, .image.is-2by3 img, #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+  .image.is-2by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, .image.is-3by5 img, #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+  .image.is-3by5 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, .image.is-9by16 img, #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+  .image.is-9by16 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, .image.is-1by2 img, #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+  .image.is-1by2 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, .image.is-1by3 img, #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+  .image.is-1by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio {
+    height: 100%;
+    width: 100%; }
+  .image.is-square, #documenter .docs-sidebar .docs-logo > img.is-square, .image.is-1by1, #documenter .docs-sidebar .docs-logo > img.is-1by1 {
+    padding-top: 100%; }
+  .image.is-5by4, #documenter .docs-sidebar .docs-logo > img.is-5by4 {
+    padding-top: 80%; }
+  .image.is-4by3, #documenter .docs-sidebar .docs-logo > img.is-4by3 {
+    padding-top: 75%; }
+  .image.is-3by2, #documenter .docs-sidebar .docs-logo > img.is-3by2 {
+    padding-top: 66.6666%; }
+  .image.is-5by3, #documenter .docs-sidebar .docs-logo > img.is-5by3 {
+    padding-top: 60%; }
+  .image.is-16by9, #documenter .docs-sidebar .docs-logo > img.is-16by9 {
+    padding-top: 56.25%; }
+  .image.is-2by1, #documenter .docs-sidebar .docs-logo > img.is-2by1 {
+    padding-top: 50%; }
+  .image.is-3by1, #documenter .docs-sidebar .docs-logo > img.is-3by1 {
+    padding-top: 33.3333%; }
+  .image.is-4by5, #documenter .docs-sidebar .docs-logo > img.is-4by5 {
+    padding-top: 125%; }
+  .image.is-3by4, #documenter .docs-sidebar .docs-logo > img.is-3by4 {
+    padding-top: 133.3333%; }
+  .image.is-2by3, #documenter .docs-sidebar .docs-logo > img.is-2by3 {
+    padding-top: 150%; }
+  .image.is-3by5, #documenter .docs-sidebar .docs-logo > img.is-3by5 {
+    padding-top: 166.6666%; }
+  .image.is-9by16, #documenter .docs-sidebar .docs-logo > img.is-9by16 {
+    padding-top: 177.7777%; }
+  .image.is-1by2, #documenter .docs-sidebar .docs-logo > img.is-1by2 {
+    padding-top: 200%; }
+  .image.is-1by3, #documenter .docs-sidebar .docs-logo > img.is-1by3 {
+    padding-top: 300%; }
+  .image.is-16x16, #documenter .docs-sidebar .docs-logo > img.is-16x16 {
+    height: 16px;
+    width: 16px; }
+  .image.is-24x24, #documenter .docs-sidebar .docs-logo > img.is-24x24 {
+    height: 24px;
+    width: 24px; }
+  .image.is-32x32, #documenter .docs-sidebar .docs-logo > img.is-32x32 {
+    height: 32px;
+    width: 32px; }
+  .image.is-48x48, #documenter .docs-sidebar .docs-logo > img.is-48x48 {
+    height: 48px;
+    width: 48px; }
+  .image.is-64x64, #documenter .docs-sidebar .docs-logo > img.is-64x64 {
+    height: 64px;
+    width: 64px; }
+  .image.is-96x96, #documenter .docs-sidebar .docs-logo > img.is-96x96 {
+    height: 96px;
+    width: 96px; }
+  .image.is-128x128, #documenter .docs-sidebar .docs-logo > img.is-128x128 {
+    height: 128px;
+    width: 128px; }
+
+.notification {
+  background-color: whitesmoke;
+  border-radius: 4px;
+  padding: 1.25rem 2.5rem 1.25rem 1.5rem;
+  position: relative; }
+  .notification a:not(.button):not(.dropdown-item) {
+    color: currentColor;
+    text-decoration: underline; }
+  .notification strong {
+    color: currentColor; }
+  .notification code,
+  .notification pre {
+    background: white; }
+  .notification pre code {
+    background: transparent; }
+  .notification > .delete {
+    position: absolute;
+    right: 0.5rem;
+    top: 0.5rem; }
+  .notification .title,
+  .notification .subtitle,
+  .notification .content {
+    color: currentColor; }
+  .notification.is-white {
+    background-color: white;
+    color: #0a0a0a; }
+  .notification.is-black {
+    background-color: #0a0a0a;
+    color: white; }
+  .notification.is-light {
+    background-color: whitesmoke;
+    color: #363636; }
+  .notification.is-dark, .content kbd.notification {
+    background-color: #363636;
+    color: whitesmoke; }
+  .notification.is-primary, .docstring > section > a.notification.docs-sourcelink {
+    background-color: #4eb5de;
+    color: #fff; }
+  .notification.is-link {
+    background-color: #2e63b8;
+    color: #fff; }
+  .notification.is-info {
+    background-color: #209cee;
+    color: #fff; }
+  .notification.is-success {
+    background-color: #22c35b;
+    color: #fff; }
+  .notification.is-warning {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+  .notification.is-danger {
+    background-color: #da0b00;
+    color: #fff; }
+
+.progress {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  border: none;
+  border-radius: 290486px;
+  display: block;
+  height: 1rem;
+  overflow: hidden;
+  padding: 0;
+  width: 100%; }
+  .progress::-webkit-progress-bar {
+    background-color: #dbdbdb; }
+  .progress::-webkit-progress-value {
+    background-color: #222222; }
+  .progress::-moz-progress-bar {
+    background-color: #222222; }
+  .progress::-ms-fill {
+    background-color: #222222;
+    border: none; }
+  .progress.is-white::-webkit-progress-value {
+    background-color: white; }
+  .progress.is-white::-moz-progress-bar {
+    background-color: white; }
+  .progress.is-white::-ms-fill {
+    background-color: white; }
+  .progress.is-white:indeterminate {
+    background-image: linear-gradient(to right, white 30%, #dbdbdb 30%); }
+  .progress.is-black::-webkit-progress-value {
+    background-color: #0a0a0a; }
+  .progress.is-black::-moz-progress-bar {
+    background-color: #0a0a0a; }
+  .progress.is-black::-ms-fill {
+    background-color: #0a0a0a; }
+  .progress.is-black:indeterminate {
+    background-image: linear-gradient(to right, #0a0a0a 30%, #dbdbdb 30%); }
+  .progress.is-light::-webkit-progress-value {
+    background-color: whitesmoke; }
+  .progress.is-light::-moz-progress-bar {
+    background-color: whitesmoke; }
+  .progress.is-light::-ms-fill {
+    background-color: whitesmoke; }
+  .progress.is-light:indeterminate {
+    background-image: linear-gradient(to right, whitesmoke 30%, #dbdbdb 30%); }
+  .progress.is-dark::-webkit-progress-value, .content kbd.progress::-webkit-progress-value {
+    background-color: #363636; }
+  .progress.is-dark::-moz-progress-bar, .content kbd.progress::-moz-progress-bar {
+    background-color: #363636; }
+  .progress.is-dark::-ms-fill, .content kbd.progress::-ms-fill {
+    background-color: #363636; }
+  .progress.is-dark:indeterminate, .content kbd.progress:indeterminate {
+    background-image: linear-gradient(to right, #363636 30%, #dbdbdb 30%); }
+  .progress.is-primary::-webkit-progress-value, .docstring > section > a.progress.docs-sourcelink::-webkit-progress-value {
+    background-color: #4eb5de; }
+  .progress.is-primary::-moz-progress-bar, .docstring > section > a.progress.docs-sourcelink::-moz-progress-bar {
+    background-color: #4eb5de; }
+  .progress.is-primary::-ms-fill, .docstring > section > a.progress.docs-sourcelink::-ms-fill {
+    background-color: #4eb5de; }
+  .progress.is-primary:indeterminate, .docstring > section > a.progress.docs-sourcelink:indeterminate {
+    background-image: linear-gradient(to right, #4eb5de 30%, #dbdbdb 30%); }
+  .progress.is-link::-webkit-progress-value {
+    background-color: #2e63b8; }
+  .progress.is-link::-moz-progress-bar {
+    background-color: #2e63b8; }
+  .progress.is-link::-ms-fill {
+    background-color: #2e63b8; }
+  .progress.is-link:indeterminate {
+    background-image: linear-gradient(to right, #2e63b8 30%, #dbdbdb 30%); }
+  .progress.is-info::-webkit-progress-value {
+    background-color: #209cee; }
+  .progress.is-info::-moz-progress-bar {
+    background-color: #209cee; }
+  .progress.is-info::-ms-fill {
+    background-color: #209cee; }
+  .progress.is-info:indeterminate {
+    background-image: linear-gradient(to right, #209cee 30%, #dbdbdb 30%); }
+  .progress.is-success::-webkit-progress-value {
+    background-color: #22c35b; }
+  .progress.is-success::-moz-progress-bar {
+    background-color: #22c35b; }
+  .progress.is-success::-ms-fill {
+    background-color: #22c35b; }
+  .progress.is-success:indeterminate {
+    background-image: linear-gradient(to right, #22c35b 30%, #dbdbdb 30%); }
+  .progress.is-warning::-webkit-progress-value {
+    background-color: #ffdd57; }
+  .progress.is-warning::-moz-progress-bar {
+    background-color: #ffdd57; }
+  .progress.is-warning::-ms-fill {
+    background-color: #ffdd57; }
+  .progress.is-warning:indeterminate {
+    background-image: linear-gradient(to right, #ffdd57 30%, #dbdbdb 30%); }
+  .progress.is-danger::-webkit-progress-value {
+    background-color: #da0b00; }
+  .progress.is-danger::-moz-progress-bar {
+    background-color: #da0b00; }
+  .progress.is-danger::-ms-fill {
+    background-color: #da0b00; }
+  .progress.is-danger:indeterminate {
+    background-image: linear-gradient(to right, #da0b00 30%, #dbdbdb 30%); }
+  .progress:indeterminate {
+    animation-duration: 1.5s;
+    animation-iteration-count: infinite;
+    animation-name: moveIndeterminate;
+    animation-timing-function: linear;
+    background-color: #dbdbdb;
+    background-image: linear-gradient(to right, #222222 30%, #dbdbdb 30%);
+    background-position: top left;
+    background-repeat: no-repeat;
+    background-size: 150% 150%; }
+    .progress:indeterminate::-webkit-progress-bar {
+      background-color: transparent; }
+    .progress:indeterminate::-moz-progress-bar {
+      background-color: transparent; }
+  .progress.is-small, #documenter .docs-sidebar form.docs-search > input.progress {
+    height: 0.75rem; }
+  .progress.is-medium {
+    height: 1.25rem; }
+  .progress.is-large {
+    height: 1.5rem; }
+
+@keyframes moveIndeterminate {
+  from {
+    background-position: 200% 0; }
+  to {
+    background-position: -200% 0; } }
+
+.table {
+  background-color: white;
+  color: #363636; }
+  .table td,
+  .table th {
+    border: 1px solid #dbdbdb;
+    border-width: 0 0 1px;
+    padding: 0.5em 0.75em;
+    vertical-align: top; }
+    .table td.is-white,
+    .table th.is-white {
+      background-color: white;
+      border-color: white;
+      color: #0a0a0a; }
+    .table td.is-black,
+    .table th.is-black {
+      background-color: #0a0a0a;
+      border-color: #0a0a0a;
+      color: white; }
+    .table td.is-light,
+    .table th.is-light {
+      background-color: whitesmoke;
+      border-color: whitesmoke;
+      color: #363636; }
+    .table td.is-dark,
+    .table th.is-dark {
+      background-color: #363636;
+      border-color: #363636;
+      color: whitesmoke; }
+    .table td.is-primary,
+    .table th.is-primary {
+      background-color: #4eb5de;
+      border-color: #4eb5de;
+      color: #fff; }
+    .table td.is-link,
+    .table th.is-link {
+      background-color: #2e63b8;
+      border-color: #2e63b8;
+      color: #fff; }
+    .table td.is-info,
+    .table th.is-info {
+      background-color: #209cee;
+      border-color: #209cee;
+      color: #fff; }
+    .table td.is-success,
+    .table th.is-success {
+      background-color: #22c35b;
+      border-color: #22c35b;
+      color: #fff; }
+    .table td.is-warning,
+    .table th.is-warning {
+      background-color: #ffdd57;
+      border-color: #ffdd57;
+      color: rgba(0, 0, 0, 0.7); }
+    .table td.is-danger,
+    .table th.is-danger {
+      background-color: #da0b00;
+      border-color: #da0b00;
+      color: #fff; }
+    .table td.is-narrow,
+    .table th.is-narrow {
+      white-space: nowrap;
+      width: 1%; }
+    .table td.is-selected,
+    .table th.is-selected {
+      background-color: #4eb5de;
+      color: #fff; }
+      .table td.is-selected a,
+      .table td.is-selected strong,
+      .table th.is-selected a,
+      .table th.is-selected strong {
+        color: currentColor; }
+  .table th {
+    color: #222222; }
+    .table th:not([align]) {
+      text-align: left; }
+  .table tr.is-selected {
+    background-color: #4eb5de;
+    color: #fff; }
+    .table tr.is-selected a,
+    .table tr.is-selected strong {
+      color: currentColor; }
+    .table tr.is-selected td,
+    .table tr.is-selected th {
+      border-color: #fff;
+      color: currentColor; }
+  .table thead {
+    background-color: transparent; }
+    .table thead td,
+    .table thead th {
+      border-width: 0 0 2px;
+      color: #222222; }
+  .table tfoot {
+    background-color: transparent; }
+    .table tfoot td,
+    .table tfoot th {
+      border-width: 2px 0 0;
+      color: #222222; }
+  .table tbody {
+    background-color: transparent; }
+    .table tbody tr:last-child td,
+    .table tbody tr:last-child th {
+      border-bottom-width: 0; }
+  .table.is-bordered td,
+  .table.is-bordered th {
+    border-width: 1px; }
+  .table.is-bordered tr:last-child td,
+  .table.is-bordered tr:last-child th {
+    border-bottom-width: 1px; }
+  .table.is-fullwidth {
+    width: 100%; }
+  .table.is-hoverable tbody tr:not(.is-selected):hover {
+    background-color: #fafafa; }
+  .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover {
+    background-color: #fafafa; }
+    .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover:nth-child(even) {
+      background-color: whitesmoke; }
+  .table.is-narrow td,
+  .table.is-narrow th {
+    padding: 0.25em 0.5em; }
+  .table.is-striped tbody tr:not(.is-selected):nth-child(even) {
+    background-color: #fafafa; }
+
+.table-container {
+  -webkit-overflow-scrolling: touch;
+  overflow: auto;
+  overflow-y: hidden;
+  max-width: 100%; }
+
+.tags {
+  align-items: center;
+  display: flex;
+  flex-wrap: wrap;
+  justify-content: flex-start; }
+  .tags .tag, .tags .content kbd, .content .tags kbd, .tags .docstring > section > a.docs-sourcelink {
+    margin-bottom: 0.5rem; }
+    .tags .tag:not(:last-child), .tags .content kbd:not(:last-child), .content .tags kbd:not(:last-child), .tags .docstring > section > a.docs-sourcelink:not(:last-child) {
+      margin-right: 0.5rem; }
+  .tags:last-child {
+    margin-bottom: -0.5rem; }
+  .tags:not(:last-child) {
+    margin-bottom: 1rem; }
+  .tags.are-medium .tag:not(.is-normal):not(.is-large), .tags.are-medium .content kbd:not(.is-normal):not(.is-large), .content .tags.are-medium kbd:not(.is-normal):not(.is-large), .tags.are-medium .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-large) {
+    font-size: 1rem; }
+  .tags.are-large .tag:not(.is-normal):not(.is-medium), .tags.are-large .content kbd:not(.is-normal):not(.is-medium), .content .tags.are-large kbd:not(.is-normal):not(.is-medium), .tags.are-large .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-medium) {
+    font-size: 1.25rem; }
+  .tags.is-centered {
+    justify-content: center; }
+    .tags.is-centered .tag, .tags.is-centered .content kbd, .content .tags.is-centered kbd, .tags.is-centered .docstring > section > a.docs-sourcelink {
+      margin-right: 0.25rem;
+      margin-left: 0.25rem; }
+  .tags.is-right {
+    justify-content: flex-end; }
+    .tags.is-right .tag:not(:first-child), .tags.is-right .content kbd:not(:first-child), .content .tags.is-right kbd:not(:first-child), .tags.is-right .docstring > section > a.docs-sourcelink:not(:first-child) {
+      margin-left: 0.5rem; }
+    .tags.is-right .tag:not(:last-child), .tags.is-right .content kbd:not(:last-child), .content .tags.is-right kbd:not(:last-child), .tags.is-right .docstring > section > a.docs-sourcelink:not(:last-child) {
+      margin-right: 0; }
+  .tags.has-addons .tag, .tags.has-addons .content kbd, .content .tags.has-addons kbd, .tags.has-addons .docstring > section > a.docs-sourcelink {
+    margin-right: 0; }
+    .tags.has-addons .tag:not(:first-child), .tags.has-addons .content kbd:not(:first-child), .content .tags.has-addons kbd:not(:first-child), .tags.has-addons .docstring > section > a.docs-sourcelink:not(:first-child) {
+      margin-left: 0;
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    .tags.has-addons .tag:not(:last-child), .tags.has-addons .content kbd:not(:last-child), .content .tags.has-addons kbd:not(:last-child), .tags.has-addons .docstring > section > a.docs-sourcelink:not(:last-child) {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0; }
+
+.tag:not(body), .content kbd:not(body), .docstring > section > a.docs-sourcelink:not(body) {
+  align-items: center;
+  background-color: whitesmoke;
+  border-radius: 4px;
+  color: #222222;
+  display: inline-flex;
+  font-size: 0.75rem;
+  height: 2em;
+  justify-content: center;
+  line-height: 1.5;
+  padding-left: 0.75em;
+  padding-right: 0.75em;
+  white-space: nowrap; }
+  .tag:not(body) .delete, .content kbd:not(body) .delete, .docstring > section > a.docs-sourcelink:not(body) .delete {
+    margin-left: 0.25rem;
+    margin-right: -0.375rem; }
+  .tag.is-white:not(body), .content kbd.is-white:not(body), .docstring > section > a.docs-sourcelink.is-white:not(body) {
+    background-color: white;
+    color: #0a0a0a; }
+  .tag.is-black:not(body), .content kbd.is-black:not(body), .docstring > section > a.docs-sourcelink.is-black:not(body) {
+    background-color: #0a0a0a;
+    color: white; }
+  .tag.is-light:not(body), .content kbd.is-light:not(body), .docstring > section > a.docs-sourcelink.is-light:not(body) {
+    background-color: whitesmoke;
+    color: #363636; }
+  .tag.is-dark:not(body), .content kbd:not(body), .docstring > section > a.docs-sourcelink.is-dark:not(body), .content .docstring > section > kbd:not(body) {
+    background-color: #363636;
+    color: whitesmoke; }
+  .tag.is-primary:not(body), .content kbd.is-primary:not(body), .docstring > section > a.docs-sourcelink:not(body) {
+    background-color: #4eb5de;
+    color: #fff; }
+  .tag.is-link:not(body), .content kbd.is-link:not(body), .docstring > section > a.docs-sourcelink.is-link:not(body) {
+    background-color: #2e63b8;
+    color: #fff; }
+  .tag.is-info:not(body), .content kbd.is-info:not(body), .docstring > section > a.docs-sourcelink.is-info:not(body) {
+    background-color: #209cee;
+    color: #fff; }
+  .tag.is-success:not(body), .content kbd.is-success:not(body), .docstring > section > a.docs-sourcelink.is-success:not(body) {
+    background-color: #22c35b;
+    color: #fff; }
+  .tag.is-warning:not(body), .content kbd.is-warning:not(body), .docstring > section > a.docs-sourcelink.is-warning:not(body) {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+  .tag.is-danger:not(body), .content kbd.is-danger:not(body), .docstring > section > a.docs-sourcelink.is-danger:not(body) {
+    background-color: #da0b00;
+    color: #fff; }
+  .tag.is-normal:not(body), .content kbd.is-normal:not(body), .docstring > section > a.docs-sourcelink.is-normal:not(body) {
+    font-size: 0.75rem; }
+  .tag.is-medium:not(body), .content kbd.is-medium:not(body), .docstring > section > a.docs-sourcelink.is-medium:not(body) {
+    font-size: 1rem; }
+  .tag.is-large:not(body), .content kbd.is-large:not(body), .docstring > section > a.docs-sourcelink.is-large:not(body) {
+    font-size: 1.25rem; }
+  .tag:not(body) .icon:first-child:not(:last-child), .content kbd:not(body) .icon:first-child:not(:last-child), .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:not(:last-child) {
+    margin-left: -0.375em;
+    margin-right: 0.1875em; }
+  .tag:not(body) .icon:last-child:not(:first-child), .content kbd:not(body) .icon:last-child:not(:first-child), .docstring > section > a.docs-sourcelink:not(body) .icon:last-child:not(:first-child) {
+    margin-left: 0.1875em;
+    margin-right: -0.375em; }
+  .tag:not(body) .icon:first-child:last-child, .content kbd:not(body) .icon:first-child:last-child, .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:last-child {
+    margin-left: -0.375em;
+    margin-right: -0.375em; }
+  .tag.is-delete:not(body), .content kbd.is-delete:not(body), .docstring > section > a.docs-sourcelink.is-delete:not(body) {
+    margin-left: 1px;
+    padding: 0;
+    position: relative;
+    width: 2em; }
+    .tag.is-delete:not(body)::before, .content kbd.is-delete:not(body)::before, .docstring > section > a.docs-sourcelink.is-delete:not(body)::before, .tag.is-delete:not(body)::after, .content kbd.is-delete:not(body)::after, .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+      background-color: currentColor;
+      content: "";
+      display: block;
+      left: 50%;
+      position: absolute;
+      top: 50%;
+      transform: translateX(-50%) translateY(-50%) rotate(45deg);
+      transform-origin: center center; }
+    .tag.is-delete:not(body)::before, .content kbd.is-delete:not(body)::before, .docstring > section > a.docs-sourcelink.is-delete:not(body)::before {
+      height: 1px;
+      width: 50%; }
+    .tag.is-delete:not(body)::after, .content kbd.is-delete:not(body)::after, .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+      height: 50%;
+      width: 1px; }
+    .tag.is-delete:not(body):hover, .content kbd.is-delete:not(body):hover, .docstring > section > a.docs-sourcelink.is-delete:not(body):hover, .tag.is-delete:not(body):focus, .content kbd.is-delete:not(body):focus, .docstring > section > a.docs-sourcelink.is-delete:not(body):focus {
+      background-color: #e8e8e8; }
+    .tag.is-delete:not(body):active, .content kbd.is-delete:not(body):active, .docstring > section > a.docs-sourcelink.is-delete:not(body):active {
+      background-color: #dbdbdb; }
+  .tag.is-rounded:not(body), #documenter .docs-sidebar form.docs-search > input:not(body), .content kbd.is-rounded:not(body), #documenter .docs-sidebar .content form.docs-search > input:not(body), .docstring > section > a.docs-sourcelink.is-rounded:not(body) {
+    border-radius: 290486px; }
+
+a.tag:hover, .docstring > section > a.docs-sourcelink:hover {
+  text-decoration: underline; }
+
+.title,
+.subtitle {
+  word-break: break-word; }
+  .title em,
+  .title span,
+  .subtitle em,
+  .subtitle span {
+    font-weight: inherit; }
+  .title sub,
+  .subtitle sub {
+    font-size: 0.75em; }
+  .title sup,
+  .subtitle sup {
+    font-size: 0.75em; }
+  .title .tag, .title .content kbd, .content .title kbd, .title .docstring > section > a.docs-sourcelink,
+  .subtitle .tag,
+  .subtitle .content kbd,
+  .content .subtitle kbd,
+  .subtitle .docstring > section > a.docs-sourcelink {
+    vertical-align: middle; }
+
+.title {
+  color: #363636;
+  font-size: 2rem;
+  font-weight: 600;
+  line-height: 1.125; }
+  .title strong {
+    color: inherit;
+    font-weight: inherit; }
+  .title + .highlight {
+    margin-top: -0.75rem; }
+  .title:not(.is-spaced) + .subtitle {
+    margin-top: -1.25rem; }
+  .title.is-1 {
+    font-size: 3rem; }
+  .title.is-2 {
+    font-size: 2.5rem; }
+  .title.is-3 {
+    font-size: 2rem; }
+  .title.is-4 {
+    font-size: 1.5rem; }
+  .title.is-5 {
+    font-size: 1.25rem; }
+  .title.is-6 {
+    font-size: 1rem; }
+  .title.is-7 {
+    font-size: 0.75rem; }
+
+.subtitle {
+  color: #4a4a4a;
+  font-size: 1.25rem;
+  font-weight: 400;
+  line-height: 1.25; }
+  .subtitle strong {
+    color: #363636;
+    font-weight: 600; }
+  .subtitle:not(.is-spaced) + .title {
+    margin-top: -1.25rem; }
+  .subtitle.is-1 {
+    font-size: 3rem; }
+  .subtitle.is-2 {
+    font-size: 2.5rem; }
+  .subtitle.is-3 {
+    font-size: 2rem; }
+  .subtitle.is-4 {
+    font-size: 1.5rem; }
+  .subtitle.is-5 {
+    font-size: 1.25rem; }
+  .subtitle.is-6 {
+    font-size: 1rem; }
+  .subtitle.is-7 {
+    font-size: 0.75rem; }
+
+.heading {
+  display: block;
+  font-size: 11px;
+  letter-spacing: 1px;
+  margin-bottom: 5px;
+  text-transform: uppercase; }
+
+.highlight {
+  font-weight: 400;
+  max-width: 100%;
+  overflow: hidden;
+  padding: 0; }
+  .highlight pre {
+    overflow: auto;
+    max-width: 100%; }
+
+.number {
+  align-items: center;
+  background-color: whitesmoke;
+  border-radius: 290486px;
+  display: inline-flex;
+  font-size: 1.25rem;
+  height: 2em;
+  justify-content: center;
+  margin-right: 1.5rem;
+  min-width: 2.5em;
+  padding: 0.25rem 0.5rem;
+  text-align: center;
+  vertical-align: top; }
+
+.select select, .textarea, .input, #documenter .docs-sidebar form.docs-search > input {
+  background-color: white;
+  border-color: #dbdbdb;
+  border-radius: 4px;
+  color: #363636; }
+  .select select::-moz-placeholder, .textarea::-moz-placeholder, .input::-moz-placeholder, #documenter .docs-sidebar form.docs-search > input::-moz-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select::-webkit-input-placeholder, .textarea::-webkit-input-placeholder, .input::-webkit-input-placeholder, #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select:-moz-placeholder, .textarea:-moz-placeholder, .input:-moz-placeholder, #documenter .docs-sidebar form.docs-search > input:-moz-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select:-ms-input-placeholder, .textarea:-ms-input-placeholder, .input:-ms-input-placeholder, #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select:hover, .textarea:hover, .input:hover, #documenter .docs-sidebar form.docs-search > input:hover, .select select.is-hovered, .is-hovered.textarea, .is-hovered.input, #documenter .docs-sidebar form.docs-search > input.is-hovered {
+    border-color: #b5b5b5; }
+  .select select:focus, .textarea:focus, .input:focus, #documenter .docs-sidebar form.docs-search > input:focus, .select select.is-focused, .is-focused.textarea, .is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .select select:active, .textarea:active, .input:active, #documenter .docs-sidebar form.docs-search > input:active, .select select.is-active, .is-active.textarea, .is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+    border-color: #2e63b8;
+    box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .select select[disabled], .textarea[disabled], .input[disabled], #documenter .docs-sidebar form.docs-search > input[disabled], fieldset[disabled] .select select, .select fieldset[disabled] select, fieldset[disabled] .textarea, fieldset[disabled] .input, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input {
+    background-color: whitesmoke;
+    border-color: whitesmoke;
+    box-shadow: none;
+    color: #6b6b6b; }
+    .select select[disabled]::-moz-placeholder, .textarea[disabled]::-moz-placeholder, .input[disabled]::-moz-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]::-moz-placeholder, fieldset[disabled] .select select::-moz-placeholder, .select fieldset[disabled] select::-moz-placeholder, fieldset[disabled] .textarea::-moz-placeholder, fieldset[disabled] .input::-moz-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input::-moz-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input::-moz-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+    .select select[disabled]::-webkit-input-placeholder, .textarea[disabled]::-webkit-input-placeholder, .input[disabled]::-webkit-input-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]::-webkit-input-placeholder, fieldset[disabled] .select select::-webkit-input-placeholder, .select fieldset[disabled] select::-webkit-input-placeholder, fieldset[disabled] .textarea::-webkit-input-placeholder, fieldset[disabled] .input::-webkit-input-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input::-webkit-input-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+    .select select[disabled]:-moz-placeholder, .textarea[disabled]:-moz-placeholder, .input[disabled]:-moz-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]:-moz-placeholder, fieldset[disabled] .select select:-moz-placeholder, .select fieldset[disabled] select:-moz-placeholder, fieldset[disabled] .textarea:-moz-placeholder, fieldset[disabled] .input:-moz-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input:-moz-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input:-moz-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+    .select select[disabled]:-ms-input-placeholder, .textarea[disabled]:-ms-input-placeholder, .input[disabled]:-ms-input-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]:-ms-input-placeholder, fieldset[disabled] .select select:-ms-input-placeholder, .select fieldset[disabled] select:-ms-input-placeholder, fieldset[disabled] .textarea:-ms-input-placeholder, fieldset[disabled] .input:-ms-input-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input:-ms-input-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+
+.textarea, .input, #documenter .docs-sidebar form.docs-search > input {
+  box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.1);
+  max-width: 100%;
+  width: 100%; }
+  .textarea[readonly], .input[readonly], #documenter .docs-sidebar form.docs-search > input[readonly] {
+    box-shadow: none; }
+  .is-white.textarea, .is-white.input, #documenter .docs-sidebar form.docs-search > input.is-white {
+    border-color: white; }
+    .is-white.textarea:focus, .is-white.input:focus, #documenter .docs-sidebar form.docs-search > input.is-white:focus, .is-white.is-focused.textarea, .is-white.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-white.textarea:active, .is-white.input:active, #documenter .docs-sidebar form.docs-search > input.is-white:active, .is-white.is-active.textarea, .is-white.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+  .is-black.textarea, .is-black.input, #documenter .docs-sidebar form.docs-search > input.is-black {
+    border-color: #0a0a0a; }
+    .is-black.textarea:focus, .is-black.input:focus, #documenter .docs-sidebar form.docs-search > input.is-black:focus, .is-black.is-focused.textarea, .is-black.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-black.textarea:active, .is-black.input:active, #documenter .docs-sidebar form.docs-search > input.is-black:active, .is-black.is-active.textarea, .is-black.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+  .is-light.textarea, .is-light.input, #documenter .docs-sidebar form.docs-search > input.is-light {
+    border-color: whitesmoke; }
+    .is-light.textarea:focus, .is-light.input:focus, #documenter .docs-sidebar form.docs-search > input.is-light:focus, .is-light.is-focused.textarea, .is-light.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-light.textarea:active, .is-light.input:active, #documenter .docs-sidebar form.docs-search > input.is-light:active, .is-light.is-active.textarea, .is-light.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); }
+  .is-dark.textarea, .content kbd.textarea, .is-dark.input, #documenter .docs-sidebar form.docs-search > input.is-dark, .content kbd.input {
+    border-color: #363636; }
+    .is-dark.textarea:focus, .content kbd.textarea:focus, .is-dark.input:focus, #documenter .docs-sidebar form.docs-search > input.is-dark:focus, .content kbd.input:focus, .is-dark.is-focused.textarea, .content kbd.is-focused.textarea, .is-dark.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .content kbd.is-focused.input, #documenter .docs-sidebar .content form.docs-search > input.is-focused, .is-dark.textarea:active, .content kbd.textarea:active, .is-dark.input:active, #documenter .docs-sidebar form.docs-search > input.is-dark:active, .content kbd.input:active, .is-dark.is-active.textarea, .content kbd.is-active.textarea, .is-dark.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .content kbd.is-active.input, #documenter .docs-sidebar .content form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); }
+  .is-primary.textarea, .docstring > section > a.textarea.docs-sourcelink, .is-primary.input, #documenter .docs-sidebar form.docs-search > input.is-primary, .docstring > section > a.input.docs-sourcelink {
+    border-color: #4eb5de; }
+    .is-primary.textarea:focus, .docstring > section > a.textarea.docs-sourcelink:focus, .is-primary.input:focus, #documenter .docs-sidebar form.docs-search > input.is-primary:focus, .docstring > section > a.input.docs-sourcelink:focus, .is-primary.is-focused.textarea, .docstring > section > a.is-focused.textarea.docs-sourcelink, .is-primary.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .docstring > section > a.is-focused.input.docs-sourcelink, .is-primary.textarea:active, .docstring > section > a.textarea.docs-sourcelink:active, .is-primary.input:active, #documenter .docs-sidebar form.docs-search > input.is-primary:active, .docstring > section > a.input.docs-sourcelink:active, .is-primary.is-active.textarea, .docstring > section > a.is-active.textarea.docs-sourcelink, .is-primary.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .docstring > section > a.is-active.input.docs-sourcelink {
+      box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); }
+  .is-link.textarea, .is-link.input, #documenter .docs-sidebar form.docs-search > input.is-link {
+    border-color: #2e63b8; }
+    .is-link.textarea:focus, .is-link.input:focus, #documenter .docs-sidebar form.docs-search > input.is-link:focus, .is-link.is-focused.textarea, .is-link.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-link.textarea:active, .is-link.input:active, #documenter .docs-sidebar form.docs-search > input.is-link:active, .is-link.is-active.textarea, .is-link.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .is-info.textarea, .is-info.input, #documenter .docs-sidebar form.docs-search > input.is-info {
+    border-color: #209cee; }
+    .is-info.textarea:focus, .is-info.input:focus, #documenter .docs-sidebar form.docs-search > input.is-info:focus, .is-info.is-focused.textarea, .is-info.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-info.textarea:active, .is-info.input:active, #documenter .docs-sidebar form.docs-search > input.is-info:active, .is-info.is-active.textarea, .is-info.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); }
+  .is-success.textarea, .is-success.input, #documenter .docs-sidebar form.docs-search > input.is-success {
+    border-color: #22c35b; }
+    .is-success.textarea:focus, .is-success.input:focus, #documenter .docs-sidebar form.docs-search > input.is-success:focus, .is-success.is-focused.textarea, .is-success.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-success.textarea:active, .is-success.input:active, #documenter .docs-sidebar form.docs-search > input.is-success:active, .is-success.is-active.textarea, .is-success.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); }
+  .is-warning.textarea, .is-warning.input, #documenter .docs-sidebar form.docs-search > input.is-warning {
+    border-color: #ffdd57; }
+    .is-warning.textarea:focus, .is-warning.input:focus, #documenter .docs-sidebar form.docs-search > input.is-warning:focus, .is-warning.is-focused.textarea, .is-warning.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-warning.textarea:active, .is-warning.input:active, #documenter .docs-sidebar form.docs-search > input.is-warning:active, .is-warning.is-active.textarea, .is-warning.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); }
+  .is-danger.textarea, .is-danger.input, #documenter .docs-sidebar form.docs-search > input.is-danger {
+    border-color: #da0b00; }
+    .is-danger.textarea:focus, .is-danger.input:focus, #documenter .docs-sidebar form.docs-search > input.is-danger:focus, .is-danger.is-focused.textarea, .is-danger.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-danger.textarea:active, .is-danger.input:active, #documenter .docs-sidebar form.docs-search > input.is-danger:active, .is-danger.is-active.textarea, .is-danger.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); }
+  .is-small.textarea, .is-small.input, #documenter .docs-sidebar form.docs-search > input {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .is-medium.textarea, .is-medium.input, #documenter .docs-sidebar form.docs-search > input.is-medium {
+    font-size: 1.25rem; }
+  .is-large.textarea, .is-large.input, #documenter .docs-sidebar form.docs-search > input.is-large {
+    font-size: 1.5rem; }
+  .is-fullwidth.textarea, .is-fullwidth.input, #documenter .docs-sidebar form.docs-search > input.is-fullwidth {
+    display: block;
+    width: 100%; }
+  .is-inline.textarea, .is-inline.input, #documenter .docs-sidebar form.docs-search > input.is-inline {
+    display: inline;
+    width: auto; }
+
+.input.is-rounded, #documenter .docs-sidebar form.docs-search > input {
+  border-radius: 290486px;
+  padding-left: 1em;
+  padding-right: 1em; }
+
+.input.is-static, #documenter .docs-sidebar form.docs-search > input.is-static {
+  background-color: transparent;
+  border-color: transparent;
+  box-shadow: none;
+  padding-left: 0;
+  padding-right: 0; }
+
+.textarea {
+  display: block;
+  max-width: 100%;
+  min-width: 100%;
+  padding: 0.625em;
+  resize: vertical; }
+  .textarea:not([rows]) {
+    max-height: 600px;
+    min-height: 120px; }
+  .textarea[rows] {
+    height: initial; }
+  .textarea.has-fixed-size {
+    resize: none; }
+
+.radio, .checkbox {
+  cursor: pointer;
+  display: inline-block;
+  line-height: 1.25;
+  position: relative; }
+  .radio input, .checkbox input {
+    cursor: pointer; }
+  .radio:hover, .checkbox:hover {
+    color: #363636; }
+  .radio[disabled], .checkbox[disabled], fieldset[disabled] .radio, fieldset[disabled] .checkbox {
+    color: #6b6b6b;
+    cursor: not-allowed; }
+
+.radio + .radio {
+  margin-left: 0.5em; }
+
+.select {
+  display: inline-block;
+  max-width: 100%;
+  position: relative;
+  vertical-align: top; }
+  .select:not(.is-multiple) {
+    height: 2.25em; }
+  .select:not(.is-multiple):not(.is-loading)::after {
+    border-color: #2e63b8;
+    right: 1.125em;
+    z-index: 4; }
+  .select.is-rounded select, #documenter .docs-sidebar form.docs-search > input.select select {
+    border-radius: 290486px;
+    padding-left: 1em; }
+  .select select {
+    cursor: pointer;
+    display: block;
+    font-size: 1em;
+    max-width: 100%;
+    outline: none; }
+    .select select::-ms-expand {
+      display: none; }
+    .select select[disabled]:hover, fieldset[disabled] .select select:hover {
+      border-color: whitesmoke; }
+    .select select:not([multiple]) {
+      padding-right: 2.5em; }
+    .select select[multiple] {
+      height: auto;
+      padding: 0; }
+      .select select[multiple] option {
+        padding: 0.5em 1em; }
+  .select:not(.is-multiple):not(.is-loading):hover::after {
+    border-color: #363636; }
+  .select.is-white:not(:hover)::after {
+    border-color: white; }
+  .select.is-white select {
+    border-color: white; }
+    .select.is-white select:hover, .select.is-white select.is-hovered {
+      border-color: #f2f2f2; }
+    .select.is-white select:focus, .select.is-white select.is-focused, .select.is-white select:active, .select.is-white select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+  .select.is-black:not(:hover)::after {
+    border-color: #0a0a0a; }
+  .select.is-black select {
+    border-color: #0a0a0a; }
+    .select.is-black select:hover, .select.is-black select.is-hovered {
+      border-color: black; }
+    .select.is-black select:focus, .select.is-black select.is-focused, .select.is-black select:active, .select.is-black select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+  .select.is-light:not(:hover)::after {
+    border-color: whitesmoke; }
+  .select.is-light select {
+    border-color: whitesmoke; }
+    .select.is-light select:hover, .select.is-light select.is-hovered {
+      border-color: #e8e8e8; }
+    .select.is-light select:focus, .select.is-light select.is-focused, .select.is-light select:active, .select.is-light select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); }
+  .select.is-dark:not(:hover)::after, .content kbd.select:not(:hover)::after {
+    border-color: #363636; }
+  .select.is-dark select, .content kbd.select select {
+    border-color: #363636; }
+    .select.is-dark select:hover, .content kbd.select select:hover, .select.is-dark select.is-hovered, .content kbd.select select.is-hovered {
+      border-color: #292929; }
+    .select.is-dark select:focus, .content kbd.select select:focus, .select.is-dark select.is-focused, .content kbd.select select.is-focused, .select.is-dark select:active, .content kbd.select select:active, .select.is-dark select.is-active, .content kbd.select select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); }
+  .select.is-primary:not(:hover)::after, .docstring > section > a.select.docs-sourcelink:not(:hover)::after {
+    border-color: #4eb5de; }
+  .select.is-primary select, .docstring > section > a.select.docs-sourcelink select {
+    border-color: #4eb5de; }
+    .select.is-primary select:hover, .docstring > section > a.select.docs-sourcelink select:hover, .select.is-primary select.is-hovered, .docstring > section > a.select.docs-sourcelink select.is-hovered {
+      border-color: #39acda; }
+    .select.is-primary select:focus, .docstring > section > a.select.docs-sourcelink select:focus, .select.is-primary select.is-focused, .docstring > section > a.select.docs-sourcelink select.is-focused, .select.is-primary select:active, .docstring > section > a.select.docs-sourcelink select:active, .select.is-primary select.is-active, .docstring > section > a.select.docs-sourcelink select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); }
+  .select.is-link:not(:hover)::after {
+    border-color: #2e63b8; }
+  .select.is-link select {
+    border-color: #2e63b8; }
+    .select.is-link select:hover, .select.is-link select.is-hovered {
+      border-color: #2958a4; }
+    .select.is-link select:focus, .select.is-link select.is-focused, .select.is-link select:active, .select.is-link select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .select.is-info:not(:hover)::after {
+    border-color: #209cee; }
+  .select.is-info select {
+    border-color: #209cee; }
+    .select.is-info select:hover, .select.is-info select.is-hovered {
+      border-color: #1190e3; }
+    .select.is-info select:focus, .select.is-info select.is-focused, .select.is-info select:active, .select.is-info select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); }
+  .select.is-success:not(:hover)::after {
+    border-color: #22c35b; }
+  .select.is-success select {
+    border-color: #22c35b; }
+    .select.is-success select:hover, .select.is-success select.is-hovered {
+      border-color: #1ead51; }
+    .select.is-success select:focus, .select.is-success select.is-focused, .select.is-success select:active, .select.is-success select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); }
+  .select.is-warning:not(:hover)::after {
+    border-color: #ffdd57; }
+  .select.is-warning select {
+    border-color: #ffdd57; }
+    .select.is-warning select:hover, .select.is-warning select.is-hovered {
+      border-color: #ffd83e; }
+    .select.is-warning select:focus, .select.is-warning select.is-focused, .select.is-warning select:active, .select.is-warning select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); }
+  .select.is-danger:not(:hover)::after {
+    border-color: #da0b00; }
+  .select.is-danger select {
+    border-color: #da0b00; }
+    .select.is-danger select:hover, .select.is-danger select.is-hovered {
+      border-color: #c10a00; }
+    .select.is-danger select:focus, .select.is-danger select.is-focused, .select.is-danger select:active, .select.is-danger select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); }
+  .select.is-small, #documenter .docs-sidebar form.docs-search > input.select {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .select.is-medium {
+    font-size: 1.25rem; }
+  .select.is-large {
+    font-size: 1.5rem; }
+  .select.is-disabled::after {
+    border-color: #6b6b6b; }
+  .select.is-fullwidth {
+    width: 100%; }
+    .select.is-fullwidth select {
+      width: 100%; }
+  .select.is-loading::after {
+    margin-top: 0;
+    position: absolute;
+    right: 0.625em;
+    top: 0.625em;
+    transform: none; }
+  .select.is-loading.is-small:after, #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+    font-size: 0.75rem; }
+  .select.is-loading.is-medium:after {
+    font-size: 1.25rem; }
+  .select.is-loading.is-large:after {
+    font-size: 1.5rem; }
+
+.file {
+  align-items: stretch;
+  display: flex;
+  justify-content: flex-start;
+  position: relative; }
+  .file.is-white .file-cta {
+    background-color: white;
+    border-color: transparent;
+    color: #0a0a0a; }
+  .file.is-white:hover .file-cta, .file.is-white.is-hovered .file-cta {
+    background-color: #f9f9f9;
+    border-color: transparent;
+    color: #0a0a0a; }
+  .file.is-white:focus .file-cta, .file.is-white.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(255, 255, 255, 0.25);
+    color: #0a0a0a; }
+  .file.is-white:active .file-cta, .file.is-white.is-active .file-cta {
+    background-color: #f2f2f2;
+    border-color: transparent;
+    color: #0a0a0a; }
+  .file.is-black .file-cta {
+    background-color: #0a0a0a;
+    border-color: transparent;
+    color: white; }
+  .file.is-black:hover .file-cta, .file.is-black.is-hovered .file-cta {
+    background-color: #040404;
+    border-color: transparent;
+    color: white; }
+  .file.is-black:focus .file-cta, .file.is-black.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(10, 10, 10, 0.25);
+    color: white; }
+  .file.is-black:active .file-cta, .file.is-black.is-active .file-cta {
+    background-color: black;
+    border-color: transparent;
+    color: white; }
+  .file.is-light .file-cta {
+    background-color: whitesmoke;
+    border-color: transparent;
+    color: #363636; }
+  .file.is-light:hover .file-cta, .file.is-light.is-hovered .file-cta {
+    background-color: #eeeeee;
+    border-color: transparent;
+    color: #363636; }
+  .file.is-light:focus .file-cta, .file.is-light.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(245, 245, 245, 0.25);
+    color: #363636; }
+  .file.is-light:active .file-cta, .file.is-light.is-active .file-cta {
+    background-color: #e8e8e8;
+    border-color: transparent;
+    color: #363636; }
+  .file.is-dark .file-cta, .content kbd.file .file-cta {
+    background-color: #363636;
+    border-color: transparent;
+    color: whitesmoke; }
+  .file.is-dark:hover .file-cta, .content kbd.file:hover .file-cta, .file.is-dark.is-hovered .file-cta, .content kbd.file.is-hovered .file-cta {
+    background-color: #2f2f2f;
+    border-color: transparent;
+    color: whitesmoke; }
+  .file.is-dark:focus .file-cta, .content kbd.file:focus .file-cta, .file.is-dark.is-focused .file-cta, .content kbd.file.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(54, 54, 54, 0.25);
+    color: whitesmoke; }
+  .file.is-dark:active .file-cta, .content kbd.file:active .file-cta, .file.is-dark.is-active .file-cta, .content kbd.file.is-active .file-cta {
+    background-color: #292929;
+    border-color: transparent;
+    color: whitesmoke; }
+  .file.is-primary .file-cta, .docstring > section > a.file.docs-sourcelink .file-cta {
+    background-color: #4eb5de;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-primary:hover .file-cta, .docstring > section > a.file.docs-sourcelink:hover .file-cta, .file.is-primary.is-hovered .file-cta, .docstring > section > a.file.is-hovered.docs-sourcelink .file-cta {
+    background-color: #43b1dc;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-primary:focus .file-cta, .docstring > section > a.file.docs-sourcelink:focus .file-cta, .file.is-primary.is-focused .file-cta, .docstring > section > a.file.is-focused.docs-sourcelink .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(78, 181, 222, 0.25);
+    color: #fff; }
+  .file.is-primary:active .file-cta, .docstring > section > a.file.docs-sourcelink:active .file-cta, .file.is-primary.is-active .file-cta, .docstring > section > a.file.is-active.docs-sourcelink .file-cta {
+    background-color: #39acda;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-link .file-cta {
+    background-color: #2e63b8;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-link:hover .file-cta, .file.is-link.is-hovered .file-cta {
+    background-color: #2b5eae;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-link:focus .file-cta, .file.is-link.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(46, 99, 184, 0.25);
+    color: #fff; }
+  .file.is-link:active .file-cta, .file.is-link.is-active .file-cta {
+    background-color: #2958a4;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-info .file-cta {
+    background-color: #209cee;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-info:hover .file-cta, .file.is-info.is-hovered .file-cta {
+    background-color: #1497ed;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-info:focus .file-cta, .file.is-info.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(32, 156, 238, 0.25);
+    color: #fff; }
+  .file.is-info:active .file-cta, .file.is-info.is-active .file-cta {
+    background-color: #1190e3;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-success .file-cta {
+    background-color: #22c35b;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-success:hover .file-cta, .file.is-success.is-hovered .file-cta {
+    background-color: #20b856;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-success:focus .file-cta, .file.is-success.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(34, 195, 91, 0.25);
+    color: #fff; }
+  .file.is-success:active .file-cta, .file.is-success.is-active .file-cta {
+    background-color: #1ead51;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-warning .file-cta {
+    background-color: #ffdd57;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-warning:hover .file-cta, .file.is-warning.is-hovered .file-cta {
+    background-color: #ffda4a;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-warning:focus .file-cta, .file.is-warning.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(255, 221, 87, 0.25);
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-warning:active .file-cta, .file.is-warning.is-active .file-cta {
+    background-color: #ffd83e;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-danger .file-cta {
+    background-color: #da0b00;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-danger:hover .file-cta, .file.is-danger.is-hovered .file-cta {
+    background-color: #cd0a00;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-danger:focus .file-cta, .file.is-danger.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(218, 11, 0, 0.25);
+    color: #fff; }
+  .file.is-danger:active .file-cta, .file.is-danger.is-active .file-cta {
+    background-color: #c10a00;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-small, #documenter .docs-sidebar form.docs-search > input.file {
+    font-size: 0.75rem; }
+  .file.is-medium {
+    font-size: 1.25rem; }
+    .file.is-medium .file-icon .fa {
+      font-size: 21px; }
+  .file.is-large {
+    font-size: 1.5rem; }
+    .file.is-large .file-icon .fa {
+      font-size: 28px; }
+  .file.has-name .file-cta {
+    border-bottom-right-radius: 0;
+    border-top-right-radius: 0; }
+  .file.has-name .file-name {
+    border-bottom-left-radius: 0;
+    border-top-left-radius: 0; }
+  .file.has-name.is-empty .file-cta {
+    border-radius: 4px; }
+  .file.has-name.is-empty .file-name {
+    display: none; }
+  .file.is-boxed .file-label {
+    flex-direction: column; }
+  .file.is-boxed .file-cta {
+    flex-direction: column;
+    height: auto;
+    padding: 1em 3em; }
+  .file.is-boxed .file-name {
+    border-width: 0 1px 1px; }
+  .file.is-boxed .file-icon {
+    height: 1.5em;
+    width: 1.5em; }
+    .file.is-boxed .file-icon .fa {
+      font-size: 21px; }
+  .file.is-boxed.is-small .file-icon .fa, #documenter .docs-sidebar form.docs-search > input.is-boxed .file-icon .fa {
+    font-size: 14px; }
+  .file.is-boxed.is-medium .file-icon .fa {
+    font-size: 28px; }
+  .file.is-boxed.is-large .file-icon .fa {
+    font-size: 35px; }
+  .file.is-boxed.has-name .file-cta {
+    border-radius: 4px 4px 0 0; }
+  .file.is-boxed.has-name .file-name {
+    border-radius: 0 0 4px 4px;
+    border-width: 0 1px 1px; }
+  .file.is-centered {
+    justify-content: center; }
+  .file.is-fullwidth .file-label {
+    width: 100%; }
+  .file.is-fullwidth .file-name {
+    flex-grow: 1;
+    max-width: none; }
+  .file.is-right {
+    justify-content: flex-end; }
+    .file.is-right .file-cta {
+      border-radius: 0 4px 4px 0; }
+    .file.is-right .file-name {
+      border-radius: 4px 0 0 4px;
+      border-width: 1px 0 1px 1px;
+      order: -1; }
+
+.file-label {
+  align-items: stretch;
+  display: flex;
+  cursor: pointer;
+  justify-content: flex-start;
+  overflow: hidden;
+  position: relative; }
+  .file-label:hover .file-cta {
+    background-color: #eeeeee;
+    color: #363636; }
+  .file-label:hover .file-name {
+    border-color: #d5d5d5; }
+  .file-label:active .file-cta {
+    background-color: #e8e8e8;
+    color: #363636; }
+  .file-label:active .file-name {
+    border-color: #cfcfcf; }
+
+.file-input {
+  height: 100%;
+  left: 0;
+  opacity: 0;
+  outline: none;
+  position: absolute;
+  top: 0;
+  width: 100%; }
+
+.file-cta,
+.file-name {
+  border-color: #dbdbdb;
+  border-radius: 4px;
+  font-size: 1em;
+  padding-left: 1em;
+  padding-right: 1em;
+  white-space: nowrap; }
+
+.file-cta {
+  background-color: whitesmoke;
+  color: #4a4a4a; }
+
+.file-name {
+  border-color: #dbdbdb;
+  border-style: solid;
+  border-width: 1px 1px 1px 0;
+  display: block;
+  max-width: 16em;
+  overflow: hidden;
+  text-align: left;
+  text-overflow: ellipsis; }
+
+.file-icon {
+  align-items: center;
+  display: flex;
+  height: 1em;
+  justify-content: center;
+  margin-right: 0.5em;
+  width: 1em; }
+  .file-icon .fa {
+    font-size: 14px; }
+
+.label {
+  color: #363636;
+  display: block;
+  font-size: 1rem;
+  font-weight: 700; }
+  .label:not(:last-child) {
+    margin-bottom: 0.5em; }
+  .label.is-small, #documenter .docs-sidebar form.docs-search > input.label {
+    font-size: 0.75rem; }
+  .label.is-medium {
+    font-size: 1.25rem; }
+  .label.is-large {
+    font-size: 1.5rem; }
+
+.help {
+  display: block;
+  font-size: 0.75rem;
+  margin-top: 0.25rem; }
+  .help.is-white {
+    color: white; }
+  .help.is-black {
+    color: #0a0a0a; }
+  .help.is-light {
+    color: whitesmoke; }
+  .help.is-dark, .content kbd.help {
+    color: #363636; }
+  .help.is-primary, .docstring > section > a.help.docs-sourcelink {
+    color: #4eb5de; }
+  .help.is-link {
+    color: #2e63b8; }
+  .help.is-info {
+    color: #209cee; }
+  .help.is-success {
+    color: #22c35b; }
+  .help.is-warning {
+    color: #ffdd57; }
+  .help.is-danger {
+    color: #da0b00; }
+
+.field:not(:last-child) {
+  margin-bottom: 0.75rem; }
+
+.field.has-addons {
+  display: flex;
+  justify-content: flex-start; }
+  .field.has-addons .control:not(:last-child) {
+    margin-right: -1px; }
+  .field.has-addons .control:not(:first-child):not(:last-child) .button,
+  .field.has-addons .control:not(:first-child):not(:last-child) .input,
+  .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search > input,
+  #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search > input,
+  .field.has-addons .control:not(:first-child):not(:last-child) .select select {
+    border-radius: 0; }
+  .field.has-addons .control:first-child:not(:only-child) .button,
+  .field.has-addons .control:first-child:not(:only-child) .input,
+  .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+  #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search > input,
+  .field.has-addons .control:first-child:not(:only-child) .select select {
+    border-bottom-right-radius: 0;
+    border-top-right-radius: 0; }
+  .field.has-addons .control:last-child:not(:only-child) .button,
+  .field.has-addons .control:last-child:not(:only-child) .input,
+  .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+  #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search > input,
+  .field.has-addons .control:last-child:not(:only-child) .select select {
+    border-bottom-left-radius: 0;
+    border-top-left-radius: 0; }
+  .field.has-addons .control .button:not([disabled]):hover, .field.has-addons .control .button.is-hovered:not([disabled]),
+  .field.has-addons .control .input:not([disabled]):hover,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):hover,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):hover,
+  .field.has-addons .control .input.is-hovered:not([disabled]),
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-hovered:not([disabled]),
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-hovered:not([disabled]),
+  .field.has-addons .control .select select:not([disabled]):hover,
+  .field.has-addons .control .select select.is-hovered:not([disabled]) {
+    z-index: 2; }
+  .field.has-addons .control .button:not([disabled]):focus, .field.has-addons .control .button.is-focused:not([disabled]), .field.has-addons .control .button:not([disabled]):active, .field.has-addons .control .button.is-active:not([disabled]),
+  .field.has-addons .control .input:not([disabled]):focus,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus,
+  .field.has-addons .control .input.is-focused:not([disabled]),
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]),
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]),
+  .field.has-addons .control .input:not([disabled]):active,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active,
+  .field.has-addons .control .input.is-active:not([disabled]),
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]),
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]),
+  .field.has-addons .control .select select:not([disabled]):focus,
+  .field.has-addons .control .select select.is-focused:not([disabled]),
+  .field.has-addons .control .select select:not([disabled]):active,
+  .field.has-addons .control .select select.is-active:not([disabled]) {
+    z-index: 3; }
+    .field.has-addons .control .button:not([disabled]):focus:hover, .field.has-addons .control .button.is-focused:not([disabled]):hover, .field.has-addons .control .button:not([disabled]):active:hover, .field.has-addons .control .button.is-active:not([disabled]):hover,
+    .field.has-addons .control .input:not([disabled]):focus:hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus:hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus:hover,
+    .field.has-addons .control .input.is-focused:not([disabled]):hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]):hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]):hover,
+    .field.has-addons .control .input:not([disabled]):active:hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active:hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active:hover,
+    .field.has-addons .control .input.is-active:not([disabled]):hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]):hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]):hover,
+    .field.has-addons .control .select select:not([disabled]):focus:hover,
+    .field.has-addons .control .select select.is-focused:not([disabled]):hover,
+    .field.has-addons .control .select select:not([disabled]):active:hover,
+    .field.has-addons .control .select select.is-active:not([disabled]):hover {
+      z-index: 4; }
+  .field.has-addons .control.is-expanded {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .field.has-addons.has-addons-centered {
+    justify-content: center; }
+  .field.has-addons.has-addons-right {
+    justify-content: flex-end; }
+  .field.has-addons.has-addons-fullwidth .control {
+    flex-grow: 1;
+    flex-shrink: 0; }
+
+.field.is-grouped {
+  display: flex;
+  justify-content: flex-start; }
+  .field.is-grouped > .control {
+    flex-shrink: 0; }
+    .field.is-grouped > .control:not(:last-child) {
+      margin-bottom: 0;
+      margin-right: 0.75rem; }
+    .field.is-grouped > .control.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+  .field.is-grouped.is-grouped-centered {
+    justify-content: center; }
+  .field.is-grouped.is-grouped-right {
+    justify-content: flex-end; }
+  .field.is-grouped.is-grouped-multiline {
+    flex-wrap: wrap; }
+    .field.is-grouped.is-grouped-multiline > .control:last-child, .field.is-grouped.is-grouped-multiline > .control:not(:last-child) {
+      margin-bottom: 0.75rem; }
+    .field.is-grouped.is-grouped-multiline:last-child {
+      margin-bottom: -0.75rem; }
+    .field.is-grouped.is-grouped-multiline:not(:last-child) {
+      margin-bottom: 0; }
+
+@media screen and (min-width: 769px), print {
+  .field.is-horizontal {
+    display: flex; } }
+
+.field-label .label {
+  font-size: inherit; }
+
+@media screen and (max-width: 768px) {
+  .field-label {
+    margin-bottom: 0.5rem; } }
+
+@media screen and (min-width: 769px), print {
+  .field-label {
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 0;
+    margin-right: 1.5rem;
+    text-align: right; }
+    .field-label.is-small, #documenter .docs-sidebar form.docs-search > input.field-label {
+      font-size: 0.75rem;
+      padding-top: 0.375em; }
+    .field-label.is-normal {
+      padding-top: 0.375em; }
+    .field-label.is-medium {
+      font-size: 1.25rem;
+      padding-top: 0.375em; }
+    .field-label.is-large {
+      font-size: 1.5rem;
+      padding-top: 0.375em; } }
+
+.field-body .field .field {
+  margin-bottom: 0; }
+
+@media screen and (min-width: 769px), print {
+  .field-body {
+    display: flex;
+    flex-basis: 0;
+    flex-grow: 5;
+    flex-shrink: 1; }
+    .field-body .field {
+      margin-bottom: 0; }
+    .field-body > .field {
+      flex-shrink: 1; }
+      .field-body > .field:not(.is-narrow) {
+        flex-grow: 1; }
+      .field-body > .field:not(:last-child) {
+        margin-right: 0.75rem; } }
+
+.control {
+  box-sizing: border-box;
+  clear: both;
+  font-size: 1rem;
+  position: relative;
+  text-align: left; }
+  .control.has-icons-left .input:focus ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input:focus ~ .icon,
+  .control.has-icons-left .select:focus ~ .icon, .control.has-icons-right .input:focus ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input:focus ~ .icon,
+  .control.has-icons-right .select:focus ~ .icon {
+    color: #6b6b6b; }
+  .control.has-icons-left .input.is-small ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input ~ .icon,
+  .control.has-icons-left .select.is-small ~ .icon, .control.has-icons-right .input.is-small ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input ~ .icon,
+  .control.has-icons-right .select.is-small ~ .icon {
+    font-size: 0.75rem; }
+  .control.has-icons-left .input.is-medium ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-medium ~ .icon,
+  .control.has-icons-left .select.is-medium ~ .icon, .control.has-icons-right .input.is-medium ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-medium ~ .icon,
+  .control.has-icons-right .select.is-medium ~ .icon {
+    font-size: 1.25rem; }
+  .control.has-icons-left .input.is-large ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-large ~ .icon,
+  .control.has-icons-left .select.is-large ~ .icon, .control.has-icons-right .input.is-large ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-large ~ .icon,
+  .control.has-icons-right .select.is-large ~ .icon {
+    font-size: 1.5rem; }
+  .control.has-icons-left .icon, .control.has-icons-right .icon {
+    color: #dbdbdb;
+    height: 2.25em;
+    pointer-events: none;
+    position: absolute;
+    top: 0;
+    width: 2.25em;
+    z-index: 4; }
+  .control.has-icons-left .input, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input,
+  .control.has-icons-left .select select {
+    padding-left: 2.25em; }
+  .control.has-icons-left .icon.is-left {
+    left: 0; }
+  .control.has-icons-right .input, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input,
+  .control.has-icons-right .select select {
+    padding-right: 2.25em; }
+  .control.has-icons-right .icon.is-right {
+    right: 0; }
+  .control.is-loading::after {
+    position: absolute !important;
+    right: 0.625em;
+    top: 0.625em;
+    z-index: 4; }
+  .control.is-loading.is-small:after, #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+    font-size: 0.75rem; }
+  .control.is-loading.is-medium:after {
+    font-size: 1.25rem; }
+  .control.is-loading.is-large:after {
+    font-size: 1.5rem; }
+
+.breadcrumb {
+  font-size: 1rem;
+  white-space: nowrap; }
+  .breadcrumb a {
+    align-items: center;
+    color: #2e63b8;
+    display: flex;
+    justify-content: center;
+    padding: 0 0.75em; }
+    .breadcrumb a:hover {
+      color: #363636; }
+  .breadcrumb li {
+    align-items: center;
+    display: flex; }
+    .breadcrumb li:first-child a {
+      padding-left: 0; }
+    .breadcrumb li.is-active a {
+      color: #222222;
+      cursor: default;
+      pointer-events: none; }
+    .breadcrumb li + li::before {
+      color: #b5b5b5;
+      content: "\0002f"; }
+  .breadcrumb ul,
+  .breadcrumb ol {
+    align-items: flex-start;
+    display: flex;
+    flex-wrap: wrap;
+    justify-content: flex-start; }
+  .breadcrumb .icon:first-child {
+    margin-right: 0.5em; }
+  .breadcrumb .icon:last-child {
+    margin-left: 0.5em; }
+  .breadcrumb.is-centered ol,
+  .breadcrumb.is-centered ul {
+    justify-content: center; }
+  .breadcrumb.is-right ol,
+  .breadcrumb.is-right ul {
+    justify-content: flex-end; }
+  .breadcrumb.is-small, #documenter .docs-sidebar form.docs-search > input.breadcrumb {
+    font-size: 0.75rem; }
+  .breadcrumb.is-medium {
+    font-size: 1.25rem; }
+  .breadcrumb.is-large {
+    font-size: 1.5rem; }
+  .breadcrumb.has-arrow-separator li + li::before {
+    content: "\02192"; }
+  .breadcrumb.has-bullet-separator li + li::before {
+    content: "\02022"; }
+  .breadcrumb.has-dot-separator li + li::before {
+    content: "\000b7"; }
+  .breadcrumb.has-succeeds-separator li + li::before {
+    content: "\0227B"; }
+
+.card {
+  background-color: white;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+  color: #222222;
+  max-width: 100%;
+  position: relative; }
+
+.card-header {
+  background-color: transparent;
+  align-items: stretch;
+  box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+  display: flex; }
+
+.card-header-title {
+  align-items: center;
+  color: #222222;
+  display: flex;
+  flex-grow: 1;
+  font-weight: 700;
+  padding: 0.75rem; }
+  .card-header-title.is-centered {
+    justify-content: center; }
+
+.card-header-icon {
+  align-items: center;
+  cursor: pointer;
+  display: flex;
+  justify-content: center;
+  padding: 0.75rem; }
+
+.card-image {
+  display: block;
+  position: relative; }
+
+.card-content {
+  background-color: transparent;
+  padding: 1rem 1.25rem; }
+
+.card-footer {
+  background-color: transparent;
+  border-top: 1px solid #dbdbdb;
+  align-items: stretch;
+  display: flex; }
+
+.card-footer-item {
+  align-items: center;
+  display: flex;
+  flex-basis: 0;
+  flex-grow: 1;
+  flex-shrink: 0;
+  justify-content: center;
+  padding: 0.75rem; }
+  .card-footer-item:not(:last-child) {
+    border-right: 1px solid #dbdbdb; }
+
+.card .media:not(:last-child) {
+  margin-bottom: 1.5rem; }
+
+.dropdown {
+  display: inline-flex;
+  position: relative;
+  vertical-align: top; }
+  .dropdown.is-active .dropdown-menu, .dropdown.is-hoverable:hover .dropdown-menu {
+    display: block; }
+  .dropdown.is-right .dropdown-menu {
+    left: auto;
+    right: 0; }
+  .dropdown.is-up .dropdown-menu {
+    bottom: 100%;
+    padding-bottom: 4px;
+    padding-top: initial;
+    top: auto; }
+
+.dropdown-menu {
+  display: none;
+  left: 0;
+  min-width: 12rem;
+  padding-top: 4px;
+  position: absolute;
+  top: 100%;
+  z-index: 20; }
+
+.dropdown-content {
+  background-color: white;
+  border-radius: 4px;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+  padding-bottom: 0.5rem;
+  padding-top: 0.5rem; }
+
+.dropdown-item {
+  color: #4a4a4a;
+  display: block;
+  font-size: 0.875rem;
+  line-height: 1.5;
+  padding: 0.375rem 1rem;
+  position: relative; }
+
+a.dropdown-item,
+button.dropdown-item {
+  padding-right: 3rem;
+  text-align: left;
+  white-space: nowrap;
+  width: 100%; }
+  a.dropdown-item:hover,
+  button.dropdown-item:hover {
+    background-color: whitesmoke;
+    color: #0a0a0a; }
+  a.dropdown-item.is-active,
+  button.dropdown-item.is-active {
+    background-color: #2e63b8;
+    color: #fff; }
+
+.dropdown-divider {
+  background-color: #dbdbdb;
+  border: none;
+  display: block;
+  height: 1px;
+  margin: 0.5rem 0; }
+
+.level {
+  align-items: center;
+  justify-content: space-between; }
+  .level code {
+    border-radius: 4px; }
+  .level img {
+    display: inline-block;
+    vertical-align: top; }
+  .level.is-mobile {
+    display: flex; }
+    .level.is-mobile .level-left,
+    .level.is-mobile .level-right {
+      display: flex; }
+    .level.is-mobile .level-left + .level-right {
+      margin-top: 0; }
+    .level.is-mobile .level-item:not(:last-child) {
+      margin-bottom: 0;
+      margin-right: 0.75rem; }
+    .level.is-mobile .level-item:not(.is-narrow) {
+      flex-grow: 1; }
+  @media screen and (min-width: 769px), print {
+    .level {
+      display: flex; }
+      .level > .level-item:not(.is-narrow) {
+        flex-grow: 1; } }
+.level-item {
+  align-items: center;
+  display: flex;
+  flex-basis: auto;
+  flex-grow: 0;
+  flex-shrink: 0;
+  justify-content: center; }
+  .level-item .title,
+  .level-item .subtitle {
+    margin-bottom: 0; }
+  @media screen and (max-width: 768px) {
+    .level-item:not(:last-child) {
+      margin-bottom: 0.75rem; } }
+.level-left,
+.level-right {
+  flex-basis: auto;
+  flex-grow: 0;
+  flex-shrink: 0; }
+  .level-left .level-item.is-flexible,
+  .level-right .level-item.is-flexible {
+    flex-grow: 1; }
+  @media screen and (min-width: 769px), print {
+    .level-left .level-item:not(:last-child),
+    .level-right .level-item:not(:last-child) {
+      margin-right: 0.75rem; } }
+.level-left {
+  align-items: center;
+  justify-content: flex-start; }
+  @media screen and (max-width: 768px) {
+    .level-left + .level-right {
+      margin-top: 1.5rem; } }
+  @media screen and (min-width: 769px), print {
+    .level-left {
+      display: flex; } }
+.level-right {
+  align-items: center;
+  justify-content: flex-end; }
+  @media screen and (min-width: 769px), print {
+    .level-right {
+      display: flex; } }
+.list {
+  background-color: white;
+  border-radius: 4px;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); }
+
+.list-item {
+  display: block;
+  padding: 0.5em 1em; }
+  .list-item:not(a) {
+    color: #222222; }
+  .list-item:first-child {
+    border-top-left-radius: 4px;
+    border-top-right-radius: 4px; }
+  .list-item:last-child {
+    border-bottom-left-radius: 4px;
+    border-bottom-right-radius: 4px; }
+  .list-item:not(:last-child) {
+    border-bottom: 1px solid #dbdbdb; }
+  .list-item.is-active {
+    background-color: #2e63b8;
+    color: #fff; }
+
+a.list-item {
+  background-color: whitesmoke;
+  cursor: pointer; }
+
+.media {
+  align-items: flex-start;
+  display: flex;
+  text-align: left; }
+  .media .content:not(:last-child) {
+    margin-bottom: 0.75rem; }
+  .media .media {
+    border-top: 1px solid rgba(219, 219, 219, 0.5);
+    display: flex;
+    padding-top: 0.75rem; }
+    .media .media .content:not(:last-child),
+    .media .media .control:not(:last-child) {
+      margin-bottom: 0.5rem; }
+    .media .media .media {
+      padding-top: 0.5rem; }
+      .media .media .media + .media {
+        margin-top: 0.5rem; }
+  .media + .media {
+    border-top: 1px solid rgba(219, 219, 219, 0.5);
+    margin-top: 1rem;
+    padding-top: 1rem; }
+  .media.is-large + .media {
+    margin-top: 1.5rem;
+    padding-top: 1.5rem; }
+
+.media-left,
+.media-right {
+  flex-basis: auto;
+  flex-grow: 0;
+  flex-shrink: 0; }
+
+.media-left {
+  margin-right: 1rem; }
+
+.media-right {
+  margin-left: 1rem; }
+
+.media-content {
+  flex-basis: auto;
+  flex-grow: 1;
+  flex-shrink: 1;
+  text-align: left; }
+
+@media screen and (max-width: 768px) {
+  .media-content {
+    overflow-x: auto; } }
+
+.menu {
+  font-size: 1rem; }
+  .menu.is-small, #documenter .docs-sidebar form.docs-search > input.menu {
+    font-size: 0.75rem; }
+  .menu.is-medium {
+    font-size: 1.25rem; }
+  .menu.is-large {
+    font-size: 1.5rem; }
+
+.menu-list {
+  line-height: 1.25; }
+  .menu-list a {
+    border-radius: 2px;
+    color: #222222;
+    display: block;
+    padding: 0.5em 0.75em; }
+    .menu-list a:hover {
+      background-color: whitesmoke;
+      color: #222222; }
+    .menu-list a.is-active {
+      background-color: #2e63b8;
+      color: #fff; }
+  .menu-list li ul {
+    border-left: 1px solid #dbdbdb;
+    margin: 0.75em;
+    padding-left: 0.75em; }
+
+.menu-label {
+  color: #6b6b6b;
+  font-size: 0.75em;
+  letter-spacing: 0.1em;
+  text-transform: uppercase; }
+  .menu-label:not(:first-child) {
+    margin-top: 1em; }
+  .menu-label:not(:last-child) {
+    margin-bottom: 1em; }
+
+.message {
+  background-color: whitesmoke;
+  border-radius: 4px;
+  font-size: 1rem; }
+  .message strong {
+    color: currentColor; }
+  .message a:not(.button):not(.tag):not(.dropdown-item) {
+    color: currentColor;
+    text-decoration: underline; }
+  .message.is-small, #documenter .docs-sidebar form.docs-search > input.message {
+    font-size: 0.75rem; }
+  .message.is-medium {
+    font-size: 1.25rem; }
+  .message.is-large {
+    font-size: 1.5rem; }
+  .message.is-white {
+    background-color: white; }
+    .message.is-white .message-header {
+      background-color: white;
+      color: #0a0a0a; }
+    .message.is-white .message-body {
+      border-color: white;
+      color: #4d4d4d; }
+  .message.is-black {
+    background-color: #fafafa; }
+    .message.is-black .message-header {
+      background-color: #0a0a0a;
+      color: white; }
+    .message.is-black .message-body {
+      border-color: #0a0a0a;
+      color: #090909; }
+  .message.is-light {
+    background-color: #fafafa; }
+    .message.is-light .message-header {
+      background-color: whitesmoke;
+      color: #363636; }
+    .message.is-light .message-body {
+      border-color: whitesmoke;
+      color: #505050; }
+  .message.is-dark, .content kbd.message {
+    background-color: #fafafa; }
+    .message.is-dark .message-header, .content kbd.message .message-header {
+      background-color: #363636;
+      color: whitesmoke; }
+    .message.is-dark .message-body, .content kbd.message .message-body {
+      border-color: #363636;
+      color: #2a2a2a; }
+  .message.is-primary, .docstring > section > a.message.docs-sourcelink {
+    background-color: #f6fbfd; }
+    .message.is-primary .message-header, .docstring > section > a.message.docs-sourcelink .message-header {
+      background-color: #4eb5de;
+      color: #fff; }
+    .message.is-primary .message-body, .docstring > section > a.message.docs-sourcelink .message-body {
+      border-color: #4eb5de;
+      color: #1f556a; }
+  .message.is-link {
+    background-color: #f7f9fd; }
+    .message.is-link .message-header {
+      background-color: #2e63b8;
+      color: #fff; }
+    .message.is-link .message-body {
+      border-color: #2e63b8;
+      color: #264981; }
+  .message.is-info {
+    background-color: #f6fbfe; }
+    .message.is-info .message-header {
+      background-color: #209cee;
+      color: #fff; }
+    .message.is-info .message-body {
+      border-color: #209cee;
+      color: #12537d; }
+  .message.is-success {
+    background-color: #f6fdf9; }
+    .message.is-success .message-header {
+      background-color: #22c35b;
+      color: #fff; }
+    .message.is-success .message-body {
+      border-color: #22c35b;
+      color: #0f361d; }
+  .message.is-warning {
+    background-color: #fffdf5; }
+    .message.is-warning .message-header {
+      background-color: #ffdd57;
+      color: rgba(0, 0, 0, 0.7); }
+    .message.is-warning .message-body {
+      border-color: #ffdd57;
+      color: #3c3108; }
+  .message.is-danger {
+    background-color: #fff5f5; }
+    .message.is-danger .message-header {
+      background-color: #da0b00;
+      color: #fff; }
+    .message.is-danger .message-body {
+      border-color: #da0b00;
+      color: #9b0c04; }
+
+.message-header {
+  align-items: center;
+  background-color: #222222;
+  border-radius: 4px 4px 0 0;
+  color: #fff;
+  display: flex;
+  font-weight: 700;
+  justify-content: space-between;
+  line-height: 1.25;
+  padding: 0.75em;
+  position: relative; }
+  .message-header .delete {
+    flex-grow: 0;
+    flex-shrink: 0;
+    margin-left: 0.75em; }
+  .message-header + .message-body {
+    border-width: 0;
+    border-top-left-radius: 0;
+    border-top-right-radius: 0; }
+
+.message-body {
+  border-color: #dbdbdb;
+  border-radius: 4px;
+  border-style: solid;
+  border-width: 0 0 0 4px;
+  color: #222222;
+  padding: 1em 1.25em; }
+  .message-body code,
+  .message-body pre {
+    background-color: white; }
+  .message-body pre code {
+    background-color: transparent; }
+
+.modal {
+  align-items: center;
+  display: none;
+  flex-direction: column;
+  justify-content: center;
+  overflow: hidden;
+  position: fixed;
+  z-index: 40; }
+  .modal.is-active {
+    display: flex; }
+
+.modal-background {
+  background-color: rgba(10, 10, 10, 0.86); }
+
+.modal-content,
+.modal-card {
+  margin: 0 20px;
+  max-height: calc(100vh - 160px);
+  overflow: auto;
+  position: relative;
+  width: 100%; }
+  @media screen and (min-width: 769px), print {
+    .modal-content,
+    .modal-card {
+      margin: 0 auto;
+      max-height: calc(100vh - 40px);
+      width: 640px; } }
+.modal-close {
+  background: none;
+  height: 40px;
+  position: fixed;
+  right: 20px;
+  top: 20px;
+  width: 40px; }
+
+.modal-card {
+  display: flex;
+  flex-direction: column;
+  max-height: calc(100vh - 40px);
+  overflow: hidden;
+  -ms-overflow-y: visible; }
+
+.modal-card-head,
+.modal-card-foot {
+  align-items: center;
+  background-color: whitesmoke;
+  display: flex;
+  flex-shrink: 0;
+  justify-content: flex-start;
+  padding: 20px;
+  position: relative; }
+
+.modal-card-head {
+  border-bottom: 1px solid #dbdbdb;
+  border-top-left-radius: 6px;
+  border-top-right-radius: 6px; }
+
+.modal-card-title {
+  color: #222222;
+  flex-grow: 1;
+  flex-shrink: 0;
+  font-size: 1.5rem;
+  line-height: 1; }
+
+.modal-card-foot {
+  border-bottom-left-radius: 6px;
+  border-bottom-right-radius: 6px;
+  border-top: 1px solid #dbdbdb; }
+  .modal-card-foot .button:not(:last-child) {
+    margin-right: 0.5em; }
+
+.modal-card-body {
+  -webkit-overflow-scrolling: touch;
+  background-color: white;
+  flex-grow: 1;
+  flex-shrink: 1;
+  overflow: auto;
+  padding: 20px; }
+
+.navbar {
+  background-color: white;
+  min-height: 3.25rem;
+  position: relative;
+  z-index: 30; }
+  .navbar.is-white {
+    background-color: white;
+    color: #0a0a0a; }
+    .navbar.is-white .navbar-brand > .navbar-item,
+    .navbar.is-white .navbar-brand .navbar-link {
+      color: #0a0a0a; }
+    .navbar.is-white .navbar-brand > a.navbar-item:focus, .navbar.is-white .navbar-brand > a.navbar-item:hover, .navbar.is-white .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-white .navbar-brand .navbar-link:focus,
+    .navbar.is-white .navbar-brand .navbar-link:hover,
+    .navbar.is-white .navbar-brand .navbar-link.is-active {
+      background-color: #f2f2f2;
+      color: #0a0a0a; }
+    .navbar.is-white .navbar-brand .navbar-link::after {
+      border-color: #0a0a0a; }
+    .navbar.is-white .navbar-burger {
+      color: #0a0a0a; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-white .navbar-start > .navbar-item,
+      .navbar.is-white .navbar-start .navbar-link,
+      .navbar.is-white .navbar-end > .navbar-item,
+      .navbar.is-white .navbar-end .navbar-link {
+        color: #0a0a0a; }
+      .navbar.is-white .navbar-start > a.navbar-item:focus, .navbar.is-white .navbar-start > a.navbar-item:hover, .navbar.is-white .navbar-start > a.navbar-item.is-active,
+      .navbar.is-white .navbar-start .navbar-link:focus,
+      .navbar.is-white .navbar-start .navbar-link:hover,
+      .navbar.is-white .navbar-start .navbar-link.is-active,
+      .navbar.is-white .navbar-end > a.navbar-item:focus,
+      .navbar.is-white .navbar-end > a.navbar-item:hover,
+      .navbar.is-white .navbar-end > a.navbar-item.is-active,
+      .navbar.is-white .navbar-end .navbar-link:focus,
+      .navbar.is-white .navbar-end .navbar-link:hover,
+      .navbar.is-white .navbar-end .navbar-link.is-active {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      .navbar.is-white .navbar-start .navbar-link::after,
+      .navbar.is-white .navbar-end .navbar-link::after {
+        border-color: #0a0a0a; }
+      .navbar.is-white .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-white .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-white .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      .navbar.is-white .navbar-dropdown a.navbar-item.is-active {
+        background-color: white;
+        color: #0a0a0a; } }
+  .navbar.is-black {
+    background-color: #0a0a0a;
+    color: white; }
+    .navbar.is-black .navbar-brand > .navbar-item,
+    .navbar.is-black .navbar-brand .navbar-link {
+      color: white; }
+    .navbar.is-black .navbar-brand > a.navbar-item:focus, .navbar.is-black .navbar-brand > a.navbar-item:hover, .navbar.is-black .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-black .navbar-brand .navbar-link:focus,
+    .navbar.is-black .navbar-brand .navbar-link:hover,
+    .navbar.is-black .navbar-brand .navbar-link.is-active {
+      background-color: black;
+      color: white; }
+    .navbar.is-black .navbar-brand .navbar-link::after {
+      border-color: white; }
+    .navbar.is-black .navbar-burger {
+      color: white; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-black .navbar-start > .navbar-item,
+      .navbar.is-black .navbar-start .navbar-link,
+      .navbar.is-black .navbar-end > .navbar-item,
+      .navbar.is-black .navbar-end .navbar-link {
+        color: white; }
+      .navbar.is-black .navbar-start > a.navbar-item:focus, .navbar.is-black .navbar-start > a.navbar-item:hover, .navbar.is-black .navbar-start > a.navbar-item.is-active,
+      .navbar.is-black .navbar-start .navbar-link:focus,
+      .navbar.is-black .navbar-start .navbar-link:hover,
+      .navbar.is-black .navbar-start .navbar-link.is-active,
+      .navbar.is-black .navbar-end > a.navbar-item:focus,
+      .navbar.is-black .navbar-end > a.navbar-item:hover,
+      .navbar.is-black .navbar-end > a.navbar-item.is-active,
+      .navbar.is-black .navbar-end .navbar-link:focus,
+      .navbar.is-black .navbar-end .navbar-link:hover,
+      .navbar.is-black .navbar-end .navbar-link.is-active {
+        background-color: black;
+        color: white; }
+      .navbar.is-black .navbar-start .navbar-link::after,
+      .navbar.is-black .navbar-end .navbar-link::after {
+        border-color: white; }
+      .navbar.is-black .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-black .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-black .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: black;
+        color: white; }
+      .navbar.is-black .navbar-dropdown a.navbar-item.is-active {
+        background-color: #0a0a0a;
+        color: white; } }
+  .navbar.is-light {
+    background-color: whitesmoke;
+    color: #363636; }
+    .navbar.is-light .navbar-brand > .navbar-item,
+    .navbar.is-light .navbar-brand .navbar-link {
+      color: #363636; }
+    .navbar.is-light .navbar-brand > a.navbar-item:focus, .navbar.is-light .navbar-brand > a.navbar-item:hover, .navbar.is-light .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-light .navbar-brand .navbar-link:focus,
+    .navbar.is-light .navbar-brand .navbar-link:hover,
+    .navbar.is-light .navbar-brand .navbar-link.is-active {
+      background-color: #e8e8e8;
+      color: #363636; }
+    .navbar.is-light .navbar-brand .navbar-link::after {
+      border-color: #363636; }
+    .navbar.is-light .navbar-burger {
+      color: #363636; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-light .navbar-start > .navbar-item,
+      .navbar.is-light .navbar-start .navbar-link,
+      .navbar.is-light .navbar-end > .navbar-item,
+      .navbar.is-light .navbar-end .navbar-link {
+        color: #363636; }
+      .navbar.is-light .navbar-start > a.navbar-item:focus, .navbar.is-light .navbar-start > a.navbar-item:hover, .navbar.is-light .navbar-start > a.navbar-item.is-active,
+      .navbar.is-light .navbar-start .navbar-link:focus,
+      .navbar.is-light .navbar-start .navbar-link:hover,
+      .navbar.is-light .navbar-start .navbar-link.is-active,
+      .navbar.is-light .navbar-end > a.navbar-item:focus,
+      .navbar.is-light .navbar-end > a.navbar-item:hover,
+      .navbar.is-light .navbar-end > a.navbar-item.is-active,
+      .navbar.is-light .navbar-end .navbar-link:focus,
+      .navbar.is-light .navbar-end .navbar-link:hover,
+      .navbar.is-light .navbar-end .navbar-link.is-active {
+        background-color: #e8e8e8;
+        color: #363636; }
+      .navbar.is-light .navbar-start .navbar-link::after,
+      .navbar.is-light .navbar-end .navbar-link::after {
+        border-color: #363636; }
+      .navbar.is-light .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-light .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-light .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #e8e8e8;
+        color: #363636; }
+      .navbar.is-light .navbar-dropdown a.navbar-item.is-active {
+        background-color: whitesmoke;
+        color: #363636; } }
+  .navbar.is-dark, .content kbd.navbar {
+    background-color: #363636;
+    color: whitesmoke; }
+    .navbar.is-dark .navbar-brand > .navbar-item, .content kbd.navbar .navbar-brand > .navbar-item,
+    .navbar.is-dark .navbar-brand .navbar-link,
+    .content kbd.navbar .navbar-brand .navbar-link {
+      color: whitesmoke; }
+    .navbar.is-dark .navbar-brand > a.navbar-item:focus, .content kbd.navbar .navbar-brand > a.navbar-item:focus, .navbar.is-dark .navbar-brand > a.navbar-item:hover, .content kbd.navbar .navbar-brand > a.navbar-item:hover, .navbar.is-dark .navbar-brand > a.navbar-item.is-active, .content kbd.navbar .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-dark .navbar-brand .navbar-link:focus,
+    .content kbd.navbar .navbar-brand .navbar-link:focus,
+    .navbar.is-dark .navbar-brand .navbar-link:hover,
+    .content kbd.navbar .navbar-brand .navbar-link:hover,
+    .navbar.is-dark .navbar-brand .navbar-link.is-active,
+    .content kbd.navbar .navbar-brand .navbar-link.is-active {
+      background-color: #292929;
+      color: whitesmoke; }
+    .navbar.is-dark .navbar-brand .navbar-link::after, .content kbd.navbar .navbar-brand .navbar-link::after {
+      border-color: whitesmoke; }
+    .navbar.is-dark .navbar-burger, .content kbd.navbar .navbar-burger {
+      color: whitesmoke; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-dark .navbar-start > .navbar-item, .content kbd.navbar .navbar-start > .navbar-item,
+      .navbar.is-dark .navbar-start .navbar-link,
+      .content kbd.navbar .navbar-start .navbar-link,
+      .navbar.is-dark .navbar-end > .navbar-item,
+      .content kbd.navbar .navbar-end > .navbar-item,
+      .navbar.is-dark .navbar-end .navbar-link,
+      .content kbd.navbar .navbar-end .navbar-link {
+        color: whitesmoke; }
+      .navbar.is-dark .navbar-start > a.navbar-item:focus, .content kbd.navbar .navbar-start > a.navbar-item:focus, .navbar.is-dark .navbar-start > a.navbar-item:hover, .content kbd.navbar .navbar-start > a.navbar-item:hover, .navbar.is-dark .navbar-start > a.navbar-item.is-active, .content kbd.navbar .navbar-start > a.navbar-item.is-active,
+      .navbar.is-dark .navbar-start .navbar-link:focus,
+      .content kbd.navbar .navbar-start .navbar-link:focus,
+      .navbar.is-dark .navbar-start .navbar-link:hover,
+      .content kbd.navbar .navbar-start .navbar-link:hover,
+      .navbar.is-dark .navbar-start .navbar-link.is-active,
+      .content kbd.navbar .navbar-start .navbar-link.is-active,
+      .navbar.is-dark .navbar-end > a.navbar-item:focus,
+      .content kbd.navbar .navbar-end > a.navbar-item:focus,
+      .navbar.is-dark .navbar-end > a.navbar-item:hover,
+      .content kbd.navbar .navbar-end > a.navbar-item:hover,
+      .navbar.is-dark .navbar-end > a.navbar-item.is-active,
+      .content kbd.navbar .navbar-end > a.navbar-item.is-active,
+      .navbar.is-dark .navbar-end .navbar-link:focus,
+      .content kbd.navbar .navbar-end .navbar-link:focus,
+      .navbar.is-dark .navbar-end .navbar-link:hover,
+      .content kbd.navbar .navbar-end .navbar-link:hover,
+      .navbar.is-dark .navbar-end .navbar-link.is-active,
+      .content kbd.navbar .navbar-end .navbar-link.is-active {
+        background-color: #292929;
+        color: whitesmoke; }
+      .navbar.is-dark .navbar-start .navbar-link::after, .content kbd.navbar .navbar-start .navbar-link::after,
+      .navbar.is-dark .navbar-end .navbar-link::after,
+      .content kbd.navbar .navbar-end .navbar-link::after {
+        border-color: whitesmoke; }
+      .navbar.is-dark .navbar-item.has-dropdown:focus .navbar-link, .content kbd.navbar .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-dark .navbar-item.has-dropdown:hover .navbar-link,
+      .content kbd.navbar .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-dark .navbar-item.has-dropdown.is-active .navbar-link,
+      .content kbd.navbar .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #292929;
+        color: whitesmoke; }
+      .navbar.is-dark .navbar-dropdown a.navbar-item.is-active, .content kbd.navbar .navbar-dropdown a.navbar-item.is-active {
+        background-color: #363636;
+        color: whitesmoke; } }
+  .navbar.is-primary, .docstring > section > a.navbar.docs-sourcelink {
+    background-color: #4eb5de;
+    color: #fff; }
+    .navbar.is-primary .navbar-brand > .navbar-item, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > .navbar-item,
+    .navbar.is-primary .navbar-brand .navbar-link,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-primary .navbar-brand > a.navbar-item:focus, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:focus, .navbar.is-primary .navbar-brand > a.navbar-item:hover, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:hover, .navbar.is-primary .navbar-brand > a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-primary .navbar-brand .navbar-link:focus,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:focus,
+    .navbar.is-primary .navbar-brand .navbar-link:hover,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:hover,
+    .navbar.is-primary .navbar-brand .navbar-link.is-active,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link.is-active {
+      background-color: #39acda;
+      color: #fff; }
+    .navbar.is-primary .navbar-brand .navbar-link::after, .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-primary .navbar-burger, .docstring > section > a.navbar.docs-sourcelink .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-primary .navbar-start > .navbar-item, .docstring > section > a.navbar.docs-sourcelink .navbar-start > .navbar-item,
+      .navbar.is-primary .navbar-start .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link,
+      .navbar.is-primary .navbar-end > .navbar-item,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > .navbar-item,
+      .navbar.is-primary .navbar-end .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-primary .navbar-start > a.navbar-item:focus, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:focus, .navbar.is-primary .navbar-start > a.navbar-item:hover, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:hover, .navbar.is-primary .navbar-start > a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item.is-active,
+      .navbar.is-primary .navbar-start .navbar-link:focus,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:focus,
+      .navbar.is-primary .navbar-start .navbar-link:hover,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:hover,
+      .navbar.is-primary .navbar-start .navbar-link.is-active,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link.is-active,
+      .navbar.is-primary .navbar-end > a.navbar-item:focus,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:focus,
+      .navbar.is-primary .navbar-end > a.navbar-item:hover,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:hover,
+      .navbar.is-primary .navbar-end > a.navbar-item.is-active,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item.is-active,
+      .navbar.is-primary .navbar-end .navbar-link:focus,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:focus,
+      .navbar.is-primary .navbar-end .navbar-link:hover,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:hover,
+      .navbar.is-primary .navbar-end .navbar-link.is-active,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link.is-active {
+        background-color: #39acda;
+        color: #fff; }
+      .navbar.is-primary .navbar-start .navbar-link::after, .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link::after,
+      .navbar.is-primary .navbar-end .navbar-link::after,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-primary .navbar-item.has-dropdown:focus .navbar-link, .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-primary .navbar-item.has-dropdown:hover .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-primary .navbar-item.has-dropdown.is-active .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #39acda;
+        color: #fff; }
+      .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active {
+        background-color: #4eb5de;
+        color: #fff; } }
+  .navbar.is-link {
+    background-color: #2e63b8;
+    color: #fff; }
+    .navbar.is-link .navbar-brand > .navbar-item,
+    .navbar.is-link .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-link .navbar-brand > a.navbar-item:focus, .navbar.is-link .navbar-brand > a.navbar-item:hover, .navbar.is-link .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-link .navbar-brand .navbar-link:focus,
+    .navbar.is-link .navbar-brand .navbar-link:hover,
+    .navbar.is-link .navbar-brand .navbar-link.is-active {
+      background-color: #2958a4;
+      color: #fff; }
+    .navbar.is-link .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-link .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-link .navbar-start > .navbar-item,
+      .navbar.is-link .navbar-start .navbar-link,
+      .navbar.is-link .navbar-end > .navbar-item,
+      .navbar.is-link .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-link .navbar-start > a.navbar-item:focus, .navbar.is-link .navbar-start > a.navbar-item:hover, .navbar.is-link .navbar-start > a.navbar-item.is-active,
+      .navbar.is-link .navbar-start .navbar-link:focus,
+      .navbar.is-link .navbar-start .navbar-link:hover,
+      .navbar.is-link .navbar-start .navbar-link.is-active,
+      .navbar.is-link .navbar-end > a.navbar-item:focus,
+      .navbar.is-link .navbar-end > a.navbar-item:hover,
+      .navbar.is-link .navbar-end > a.navbar-item.is-active,
+      .navbar.is-link .navbar-end .navbar-link:focus,
+      .navbar.is-link .navbar-end .navbar-link:hover,
+      .navbar.is-link .navbar-end .navbar-link.is-active {
+        background-color: #2958a4;
+        color: #fff; }
+      .navbar.is-link .navbar-start .navbar-link::after,
+      .navbar.is-link .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-link .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-link .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-link .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #2958a4;
+        color: #fff; }
+      .navbar.is-link .navbar-dropdown a.navbar-item.is-active {
+        background-color: #2e63b8;
+        color: #fff; } }
+  .navbar.is-info {
+    background-color: #209cee;
+    color: #fff; }
+    .navbar.is-info .navbar-brand > .navbar-item,
+    .navbar.is-info .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-info .navbar-brand > a.navbar-item:focus, .navbar.is-info .navbar-brand > a.navbar-item:hover, .navbar.is-info .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-info .navbar-brand .navbar-link:focus,
+    .navbar.is-info .navbar-brand .navbar-link:hover,
+    .navbar.is-info .navbar-brand .navbar-link.is-active {
+      background-color: #1190e3;
+      color: #fff; }
+    .navbar.is-info .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-info .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-info .navbar-start > .navbar-item,
+      .navbar.is-info .navbar-start .navbar-link,
+      .navbar.is-info .navbar-end > .navbar-item,
+      .navbar.is-info .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-info .navbar-start > a.navbar-item:focus, .navbar.is-info .navbar-start > a.navbar-item:hover, .navbar.is-info .navbar-start > a.navbar-item.is-active,
+      .navbar.is-info .navbar-start .navbar-link:focus,
+      .navbar.is-info .navbar-start .navbar-link:hover,
+      .navbar.is-info .navbar-start .navbar-link.is-active,
+      .navbar.is-info .navbar-end > a.navbar-item:focus,
+      .navbar.is-info .navbar-end > a.navbar-item:hover,
+      .navbar.is-info .navbar-end > a.navbar-item.is-active,
+      .navbar.is-info .navbar-end .navbar-link:focus,
+      .navbar.is-info .navbar-end .navbar-link:hover,
+      .navbar.is-info .navbar-end .navbar-link.is-active {
+        background-color: #1190e3;
+        color: #fff; }
+      .navbar.is-info .navbar-start .navbar-link::after,
+      .navbar.is-info .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-info .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-info .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-info .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #1190e3;
+        color: #fff; }
+      .navbar.is-info .navbar-dropdown a.navbar-item.is-active {
+        background-color: #209cee;
+        color: #fff; } }
+  .navbar.is-success {
+    background-color: #22c35b;
+    color: #fff; }
+    .navbar.is-success .navbar-brand > .navbar-item,
+    .navbar.is-success .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-success .navbar-brand > a.navbar-item:focus, .navbar.is-success .navbar-brand > a.navbar-item:hover, .navbar.is-success .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-success .navbar-brand .navbar-link:focus,
+    .navbar.is-success .navbar-brand .navbar-link:hover,
+    .navbar.is-success .navbar-brand .navbar-link.is-active {
+      background-color: #1ead51;
+      color: #fff; }
+    .navbar.is-success .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-success .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-success .navbar-start > .navbar-item,
+      .navbar.is-success .navbar-start .navbar-link,
+      .navbar.is-success .navbar-end > .navbar-item,
+      .navbar.is-success .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-success .navbar-start > a.navbar-item:focus, .navbar.is-success .navbar-start > a.navbar-item:hover, .navbar.is-success .navbar-start > a.navbar-item.is-active,
+      .navbar.is-success .navbar-start .navbar-link:focus,
+      .navbar.is-success .navbar-start .navbar-link:hover,
+      .navbar.is-success .navbar-start .navbar-link.is-active,
+      .navbar.is-success .navbar-end > a.navbar-item:focus,
+      .navbar.is-success .navbar-end > a.navbar-item:hover,
+      .navbar.is-success .navbar-end > a.navbar-item.is-active,
+      .navbar.is-success .navbar-end .navbar-link:focus,
+      .navbar.is-success .navbar-end .navbar-link:hover,
+      .navbar.is-success .navbar-end .navbar-link.is-active {
+        background-color: #1ead51;
+        color: #fff; }
+      .navbar.is-success .navbar-start .navbar-link::after,
+      .navbar.is-success .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-success .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-success .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-success .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #1ead51;
+        color: #fff; }
+      .navbar.is-success .navbar-dropdown a.navbar-item.is-active {
+        background-color: #22c35b;
+        color: #fff; } }
+  .navbar.is-warning {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-brand > .navbar-item,
+    .navbar.is-warning .navbar-brand .navbar-link {
+      color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-brand > a.navbar-item:focus, .navbar.is-warning .navbar-brand > a.navbar-item:hover, .navbar.is-warning .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-warning .navbar-brand .navbar-link:focus,
+    .navbar.is-warning .navbar-brand .navbar-link:hover,
+    .navbar.is-warning .navbar-brand .navbar-link.is-active {
+      background-color: #ffd83e;
+      color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-brand .navbar-link::after {
+      border-color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-burger {
+      color: rgba(0, 0, 0, 0.7); }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-warning .navbar-start > .navbar-item,
+      .navbar.is-warning .navbar-start .navbar-link,
+      .navbar.is-warning .navbar-end > .navbar-item,
+      .navbar.is-warning .navbar-end .navbar-link {
+        color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-start > a.navbar-item:focus, .navbar.is-warning .navbar-start > a.navbar-item:hover, .navbar.is-warning .navbar-start > a.navbar-item.is-active,
+      .navbar.is-warning .navbar-start .navbar-link:focus,
+      .navbar.is-warning .navbar-start .navbar-link:hover,
+      .navbar.is-warning .navbar-start .navbar-link.is-active,
+      .navbar.is-warning .navbar-end > a.navbar-item:focus,
+      .navbar.is-warning .navbar-end > a.navbar-item:hover,
+      .navbar.is-warning .navbar-end > a.navbar-item.is-active,
+      .navbar.is-warning .navbar-end .navbar-link:focus,
+      .navbar.is-warning .navbar-end .navbar-link:hover,
+      .navbar.is-warning .navbar-end .navbar-link.is-active {
+        background-color: #ffd83e;
+        color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-start .navbar-link::after,
+      .navbar.is-warning .navbar-end .navbar-link::after {
+        border-color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-warning .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-warning .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #ffd83e;
+        color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-dropdown a.navbar-item.is-active {
+        background-color: #ffdd57;
+        color: rgba(0, 0, 0, 0.7); } }
+  .navbar.is-danger {
+    background-color: #da0b00;
+    color: #fff; }
+    .navbar.is-danger .navbar-brand > .navbar-item,
+    .navbar.is-danger .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-danger .navbar-brand > a.navbar-item:focus, .navbar.is-danger .navbar-brand > a.navbar-item:hover, .navbar.is-danger .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-danger .navbar-brand .navbar-link:focus,
+    .navbar.is-danger .navbar-brand .navbar-link:hover,
+    .navbar.is-danger .navbar-brand .navbar-link.is-active {
+      background-color: #c10a00;
+      color: #fff; }
+    .navbar.is-danger .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-danger .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-danger .navbar-start > .navbar-item,
+      .navbar.is-danger .navbar-start .navbar-link,
+      .navbar.is-danger .navbar-end > .navbar-item,
+      .navbar.is-danger .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-danger .navbar-start > a.navbar-item:focus, .navbar.is-danger .navbar-start > a.navbar-item:hover, .navbar.is-danger .navbar-start > a.navbar-item.is-active,
+      .navbar.is-danger .navbar-start .navbar-link:focus,
+      .navbar.is-danger .navbar-start .navbar-link:hover,
+      .navbar.is-danger .navbar-start .navbar-link.is-active,
+      .navbar.is-danger .navbar-end > a.navbar-item:focus,
+      .navbar.is-danger .navbar-end > a.navbar-item:hover,
+      .navbar.is-danger .navbar-end > a.navbar-item.is-active,
+      .navbar.is-danger .navbar-end .navbar-link:focus,
+      .navbar.is-danger .navbar-end .navbar-link:hover,
+      .navbar.is-danger .navbar-end .navbar-link.is-active {
+        background-color: #c10a00;
+        color: #fff; }
+      .navbar.is-danger .navbar-start .navbar-link::after,
+      .navbar.is-danger .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-danger .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-danger .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-danger .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #c10a00;
+        color: #fff; }
+      .navbar.is-danger .navbar-dropdown a.navbar-item.is-active {
+        background-color: #da0b00;
+        color: #fff; } }
+  .navbar > .container {
+    align-items: stretch;
+    display: flex;
+    min-height: 3.25rem;
+    width: 100%; }
+  .navbar.has-shadow {
+    box-shadow: 0 2px 0 0 whitesmoke; }
+  .navbar.is-fixed-bottom, .navbar.is-fixed-top {
+    left: 0;
+    position: fixed;
+    right: 0;
+    z-index: 30; }
+  .navbar.is-fixed-bottom {
+    bottom: 0; }
+    .navbar.is-fixed-bottom.has-shadow {
+      box-shadow: 0 -2px 0 0 whitesmoke; }
+  .navbar.is-fixed-top {
+    top: 0; }
+
+html.has-navbar-fixed-top,
+body.has-navbar-fixed-top {
+  padding-top: 3.25rem; }
+
+html.has-navbar-fixed-bottom,
+body.has-navbar-fixed-bottom {
+  padding-bottom: 3.25rem; }
+
+.navbar-brand,
+.navbar-tabs {
+  align-items: stretch;
+  display: flex;
+  flex-shrink: 0;
+  min-height: 3.25rem; }
+
+.navbar-brand a.navbar-item:focus, .navbar-brand a.navbar-item:hover {
+  background-color: transparent; }
+
+.navbar-tabs {
+  -webkit-overflow-scrolling: touch;
+  max-width: 100vw;
+  overflow-x: auto;
+  overflow-y: hidden; }
+
+.navbar-burger {
+  color: #4a4a4a;
+  cursor: pointer;
+  display: block;
+  height: 3.25rem;
+  position: relative;
+  width: 3.25rem;
+  margin-left: auto; }
+  .navbar-burger span {
+    background-color: currentColor;
+    display: block;
+    height: 1px;
+    left: calc(50% - 8px);
+    position: absolute;
+    transform-origin: center;
+    transition-duration: 86ms;
+    transition-property: background-color, opacity, transform;
+    transition-timing-function: ease-out;
+    width: 16px; }
+    .navbar-burger span:nth-child(1) {
+      top: calc(50% - 6px); }
+    .navbar-burger span:nth-child(2) {
+      top: calc(50% - 1px); }
+    .navbar-burger span:nth-child(3) {
+      top: calc(50% + 4px); }
+  .navbar-burger:hover {
+    background-color: rgba(0, 0, 0, 0.05); }
+  .navbar-burger.is-active span:nth-child(1) {
+    transform: translateY(5px) rotate(45deg); }
+  .navbar-burger.is-active span:nth-child(2) {
+    opacity: 0; }
+  .navbar-burger.is-active span:nth-child(3) {
+    transform: translateY(-5px) rotate(-45deg); }
+
+.navbar-menu {
+  display: none; }
+
+.navbar-item,
+.navbar-link {
+  color: #4a4a4a;
+  display: block;
+  line-height: 1.5;
+  padding: 0.5rem 0.75rem;
+  position: relative; }
+  .navbar-item .icon:only-child,
+  .navbar-link .icon:only-child {
+    margin-left: -0.25rem;
+    margin-right: -0.25rem; }
+
+a.navbar-item,
+.navbar-link {
+  cursor: pointer; }
+  a.navbar-item:focus, a.navbar-item:focus-within, a.navbar-item:hover, a.navbar-item.is-active,
+  .navbar-link:focus,
+  .navbar-link:focus-within,
+  .navbar-link:hover,
+  .navbar-link.is-active {
+    background-color: #fafafa;
+    color: #2e63b8; }
+
+.navbar-item {
+  display: block;
+  flex-grow: 0;
+  flex-shrink: 0; }
+  .navbar-item img {
+    max-height: 1.75rem; }
+  .navbar-item.has-dropdown {
+    padding: 0; }
+  .navbar-item.is-expanded {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .navbar-item.is-tab {
+    border-bottom: 1px solid transparent;
+    min-height: 3.25rem;
+    padding-bottom: calc(0.5rem - 1px); }
+    .navbar-item.is-tab:focus, .navbar-item.is-tab:hover {
+      background-color: transparent;
+      border-bottom-color: #2e63b8; }
+    .navbar-item.is-tab.is-active {
+      background-color: transparent;
+      border-bottom-color: #2e63b8;
+      border-bottom-style: solid;
+      border-bottom-width: 3px;
+      color: #2e63b8;
+      padding-bottom: calc(0.5rem - 3px); }
+
+.navbar-content {
+  flex-grow: 1;
+  flex-shrink: 1; }
+
+.navbar-link:not(.is-arrowless) {
+  padding-right: 2.5em; }
+  .navbar-link:not(.is-arrowless)::after {
+    border-color: #2e63b8;
+    margin-top: -0.375em;
+    right: 1.125em; }
+
+.navbar-dropdown {
+  font-size: 0.875rem;
+  padding-bottom: 0.5rem;
+  padding-top: 0.5rem; }
+  .navbar-dropdown .navbar-item {
+    padding-left: 1.5rem;
+    padding-right: 1.5rem; }
+
+.navbar-divider {
+  background-color: whitesmoke;
+  border: none;
+  display: none;
+  height: 2px;
+  margin: 0.5rem 0; }
+
+@media screen and (max-width: 1055px) {
+  .navbar > .container {
+    display: block; }
+  .navbar-brand .navbar-item,
+  .navbar-tabs .navbar-item {
+    align-items: center;
+    display: flex; }
+  .navbar-link::after {
+    display: none; }
+  .navbar-menu {
+    background-color: white;
+    box-shadow: 0 8px 16px rgba(10, 10, 10, 0.1);
+    padding: 0.5rem 0; }
+    .navbar-menu.is-active {
+      display: block; }
+  .navbar.is-fixed-bottom-touch, .navbar.is-fixed-top-touch {
+    left: 0;
+    position: fixed;
+    right: 0;
+    z-index: 30; }
+  .navbar.is-fixed-bottom-touch {
+    bottom: 0; }
+    .navbar.is-fixed-bottom-touch.has-shadow {
+      box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+  .navbar.is-fixed-top-touch {
+    top: 0; }
+  .navbar.is-fixed-top .navbar-menu, .navbar.is-fixed-top-touch .navbar-menu {
+    -webkit-overflow-scrolling: touch;
+    max-height: calc(100vh - 3.25rem);
+    overflow: auto; }
+  html.has-navbar-fixed-top-touch,
+  body.has-navbar-fixed-top-touch {
+    padding-top: 3.25rem; }
+  html.has-navbar-fixed-bottom-touch,
+  body.has-navbar-fixed-bottom-touch {
+    padding-bottom: 3.25rem; } }
+
+@media screen and (min-width: 1056px) {
+  .navbar,
+  .navbar-menu,
+  .navbar-start,
+  .navbar-end {
+    align-items: stretch;
+    display: flex; }
+  .navbar {
+    min-height: 3.25rem; }
+    .navbar.is-spaced {
+      padding: 1rem 2rem; }
+      .navbar.is-spaced .navbar-start,
+      .navbar.is-spaced .navbar-end {
+        align-items: center; }
+      .navbar.is-spaced a.navbar-item,
+      .navbar.is-spaced .navbar-link {
+        border-radius: 4px; }
+    .navbar.is-transparent a.navbar-item:focus, .navbar.is-transparent a.navbar-item:hover, .navbar.is-transparent a.navbar-item.is-active,
+    .navbar.is-transparent .navbar-link:focus,
+    .navbar.is-transparent .navbar-link:hover,
+    .navbar.is-transparent .navbar-link.is-active {
+      background-color: transparent !important; }
+    .navbar.is-transparent .navbar-item.has-dropdown.is-active .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus-within .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:hover .navbar-link {
+      background-color: transparent !important; }
+    .navbar.is-transparent .navbar-dropdown a.navbar-item:focus, .navbar.is-transparent .navbar-dropdown a.navbar-item:hover {
+      background-color: whitesmoke;
+      color: #0a0a0a; }
+    .navbar.is-transparent .navbar-dropdown a.navbar-item.is-active {
+      background-color: whitesmoke;
+      color: #2e63b8; }
+  .navbar-burger {
+    display: none; }
+  .navbar-item,
+  .navbar-link {
+    align-items: center;
+    display: flex; }
+  .navbar-item {
+    display: flex; }
+    .navbar-item.has-dropdown {
+      align-items: stretch; }
+    .navbar-item.has-dropdown-up .navbar-link::after {
+      transform: rotate(135deg) translate(0.25em, -0.25em); }
+    .navbar-item.has-dropdown-up .navbar-dropdown {
+      border-bottom: 2px solid #dbdbdb;
+      border-radius: 6px 6px 0 0;
+      border-top: none;
+      bottom: 100%;
+      box-shadow: 0 -8px 8px rgba(10, 10, 10, 0.1);
+      top: auto; }
+    .navbar-item.is-active .navbar-dropdown, .navbar-item.is-hoverable:focus .navbar-dropdown, .navbar-item.is-hoverable:focus-within .navbar-dropdown, .navbar-item.is-hoverable:hover .navbar-dropdown {
+      display: block; }
+      .navbar.is-spaced .navbar-item.is-active .navbar-dropdown, .navbar-item.is-active .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:focus .navbar-dropdown, .navbar-item.is-hoverable:focus .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:focus-within .navbar-dropdown, .navbar-item.is-hoverable:focus-within .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:hover .navbar-dropdown, .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed {
+        opacity: 1;
+        pointer-events: auto;
+        transform: translateY(0); }
+  .navbar-menu {
+    flex-grow: 1;
+    flex-shrink: 0; }
+  .navbar-start {
+    justify-content: flex-start;
+    margin-right: auto; }
+  .navbar-end {
+    justify-content: flex-end;
+    margin-left: auto; }
+  .navbar-dropdown {
+    background-color: white;
+    border-bottom-left-radius: 6px;
+    border-bottom-right-radius: 6px;
+    border-top: 2px solid #dbdbdb;
+    box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1);
+    display: none;
+    font-size: 0.875rem;
+    left: 0;
+    min-width: 100%;
+    position: absolute;
+    top: 100%;
+    z-index: 20; }
+    .navbar-dropdown .navbar-item {
+      padding: 0.375rem 1rem;
+      white-space: nowrap; }
+    .navbar-dropdown a.navbar-item {
+      padding-right: 3rem; }
+      .navbar-dropdown a.navbar-item:focus, .navbar-dropdown a.navbar-item:hover {
+        background-color: whitesmoke;
+        color: #0a0a0a; }
+      .navbar-dropdown a.navbar-item.is-active {
+        background-color: whitesmoke;
+        color: #2e63b8; }
+    .navbar.is-spaced .navbar-dropdown, .navbar-dropdown.is-boxed {
+      border-radius: 6px;
+      border-top: none;
+      box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+      display: block;
+      opacity: 0;
+      pointer-events: none;
+      top: calc(100% + (-4px));
+      transform: translateY(-5px);
+      transition-duration: 86ms;
+      transition-property: opacity, transform; }
+    .navbar-dropdown.is-right {
+      left: auto;
+      right: 0; }
+  .navbar-divider {
+    display: block; }
+  .navbar > .container .navbar-brand,
+  .container > .navbar .navbar-brand {
+    margin-left: -.75rem; }
+  .navbar > .container .navbar-menu,
+  .container > .navbar .navbar-menu {
+    margin-right: -.75rem; }
+  .navbar.is-fixed-bottom-desktop, .navbar.is-fixed-top-desktop {
+    left: 0;
+    position: fixed;
+    right: 0;
+    z-index: 30; }
+  .navbar.is-fixed-bottom-desktop {
+    bottom: 0; }
+    .navbar.is-fixed-bottom-desktop.has-shadow {
+      box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+  .navbar.is-fixed-top-desktop {
+    top: 0; }
+  html.has-navbar-fixed-top-desktop,
+  body.has-navbar-fixed-top-desktop {
+    padding-top: 3.25rem; }
+  html.has-navbar-fixed-bottom-desktop,
+  body.has-navbar-fixed-bottom-desktop {
+    padding-bottom: 3.25rem; }
+  html.has-spaced-navbar-fixed-top,
+  body.has-spaced-navbar-fixed-top {
+    padding-top: 5.25rem; }
+  html.has-spaced-navbar-fixed-bottom,
+  body.has-spaced-navbar-fixed-bottom {
+    padding-bottom: 5.25rem; }
+  a.navbar-item.is-active,
+  .navbar-link.is-active {
+    color: #0a0a0a; }
+  a.navbar-item.is-active:not(:focus):not(:hover),
+  .navbar-link.is-active:not(:focus):not(:hover) {
+    background-color: transparent; }
+  .navbar-item.has-dropdown:focus .navbar-link, .navbar-item.has-dropdown:hover .navbar-link, .navbar-item.has-dropdown.is-active .navbar-link {
+    background-color: #fafafa; } }
+
+.hero.is-fullheight-with-navbar {
+  min-height: calc(100vh - 3.25rem); }
+
+.pagination {
+  font-size: 1rem;
+  margin: -0.25rem; }
+  .pagination.is-small, #documenter .docs-sidebar form.docs-search > input.pagination {
+    font-size: 0.75rem; }
+  .pagination.is-medium {
+    font-size: 1.25rem; }
+  .pagination.is-large {
+    font-size: 1.5rem; }
+  .pagination.is-rounded .pagination-previous, #documenter .docs-sidebar form.docs-search > input.pagination .pagination-previous,
+  .pagination.is-rounded .pagination-next,
+  #documenter .docs-sidebar form.docs-search > input.pagination .pagination-next {
+    padding-left: 1em;
+    padding-right: 1em;
+    border-radius: 290486px; }
+  .pagination.is-rounded .pagination-link, #documenter .docs-sidebar form.docs-search > input.pagination .pagination-link {
+    border-radius: 290486px; }
+
+.pagination,
+.pagination-list {
+  align-items: center;
+  display: flex;
+  justify-content: center;
+  text-align: center; }
+
+.pagination-previous,
+.pagination-next,
+.pagination-link,
+.pagination-ellipsis {
+  font-size: 1em;
+  justify-content: center;
+  margin: 0.25rem;
+  padding-left: 0.5em;
+  padding-right: 0.5em;
+  text-align: center; }
+
+.pagination-previous,
+.pagination-next,
+.pagination-link {
+  border-color: #dbdbdb;
+  color: #363636;
+  min-width: 2.25em; }
+  .pagination-previous:hover,
+  .pagination-next:hover,
+  .pagination-link:hover {
+    border-color: #b5b5b5;
+    color: #363636; }
+  .pagination-previous:focus,
+  .pagination-next:focus,
+  .pagination-link:focus {
+    border-color: #3c5dcd; }
+  .pagination-previous:active,
+  .pagination-next:active,
+  .pagination-link:active {
+    box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2); }
+  .pagination-previous[disabled],
+  .pagination-next[disabled],
+  .pagination-link[disabled] {
+    background-color: #dbdbdb;
+    border-color: #dbdbdb;
+    box-shadow: none;
+    color: #6b6b6b;
+    opacity: 0.5; }
+
+.pagination-previous,
+.pagination-next {
+  padding-left: 0.75em;
+  padding-right: 0.75em;
+  white-space: nowrap; }
+
+.pagination-link.is-current {
+  background-color: #2e63b8;
+  border-color: #2e63b8;
+  color: #fff; }
+
+.pagination-ellipsis {
+  color: #b5b5b5;
+  pointer-events: none; }
+
+.pagination-list {
+  flex-wrap: wrap; }
+
+@media screen and (max-width: 768px) {
+  .pagination {
+    flex-wrap: wrap; }
+  .pagination-previous,
+  .pagination-next {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .pagination-list li {
+    flex-grow: 1;
+    flex-shrink: 1; } }
+
+@media screen and (min-width: 769px), print {
+  .pagination-list {
+    flex-grow: 1;
+    flex-shrink: 1;
+    justify-content: flex-start;
+    order: 1; }
+  .pagination-previous {
+    order: 2; }
+  .pagination-next {
+    order: 3; }
+  .pagination {
+    justify-content: space-between; }
+    .pagination.is-centered .pagination-previous {
+      order: 1; }
+    .pagination.is-centered .pagination-list {
+      justify-content: center;
+      order: 2; }
+    .pagination.is-centered .pagination-next {
+      order: 3; }
+    .pagination.is-right .pagination-previous {
+      order: 1; }
+    .pagination.is-right .pagination-next {
+      order: 2; }
+    .pagination.is-right .pagination-list {
+      justify-content: flex-end;
+      order: 3; } }
+
+.panel {
+  font-size: 1rem; }
+  .panel:not(:last-child) {
+    margin-bottom: 1.5rem; }
+
+.panel-heading,
+.panel-tabs,
+.panel-block {
+  border-bottom: 1px solid #dbdbdb;
+  border-left: 1px solid #dbdbdb;
+  border-right: 1px solid #dbdbdb; }
+  .panel-heading:first-child,
+  .panel-tabs:first-child,
+  .panel-block:first-child {
+    border-top: 1px solid #dbdbdb; }
+
+.panel-heading {
+  background-color: whitesmoke;
+  border-radius: 4px 4px 0 0;
+  color: #222222;
+  font-size: 1.25em;
+  font-weight: 300;
+  line-height: 1.25;
+  padding: 0.5em 0.75em; }
+
+.panel-tabs {
+  align-items: flex-end;
+  display: flex;
+  font-size: 0.875em;
+  justify-content: center; }
+  .panel-tabs a {
+    border-bottom: 1px solid #dbdbdb;
+    margin-bottom: -1px;
+    padding: 0.5em; }
+    .panel-tabs a.is-active {
+      border-bottom-color: #4a4a4a;
+      color: #363636; }
+
+.panel-list a {
+  color: #222222; }
+  .panel-list a:hover {
+    color: #2e63b8; }
+
+.panel-block {
+  align-items: center;
+  color: #222222;
+  display: flex;
+  justify-content: flex-start;
+  padding: 0.5em 0.75em; }
+  .panel-block input[type="checkbox"] {
+    margin-right: 0.75em; }
+  .panel-block > .control {
+    flex-grow: 1;
+    flex-shrink: 1;
+    width: 100%; }
+  .panel-block.is-wrapped {
+    flex-wrap: wrap; }
+  .panel-block.is-active {
+    border-left-color: #2e63b8;
+    color: #363636; }
+    .panel-block.is-active .panel-icon {
+      color: #2e63b8; }
+
+a.panel-block,
+label.panel-block {
+  cursor: pointer; }
+  a.panel-block:hover,
+  label.panel-block:hover {
+    background-color: whitesmoke; }
+
+.panel-icon {
+  display: inline-block;
+  font-size: 14px;
+  height: 1em;
+  line-height: 1em;
+  text-align: center;
+  vertical-align: top;
+  width: 1em;
+  color: #6b6b6b;
+  margin-right: 0.75em; }
+  .panel-icon .fa {
+    font-size: inherit;
+    line-height: inherit; }
+
+.tabs {
+  -webkit-overflow-scrolling: touch;
+  align-items: stretch;
+  display: flex;
+  font-size: 1rem;
+  justify-content: space-between;
+  overflow: hidden;
+  overflow-x: auto;
+  white-space: nowrap; }
+  .tabs a {
+    align-items: center;
+    border-bottom-color: #dbdbdb;
+    border-bottom-style: solid;
+    border-bottom-width: 1px;
+    color: #222222;
+    display: flex;
+    justify-content: center;
+    margin-bottom: -1px;
+    padding: 0.5em 1em;
+    vertical-align: top; }
+    .tabs a:hover {
+      border-bottom-color: #222222;
+      color: #222222; }
+  .tabs li {
+    display: block; }
+    .tabs li.is-active a {
+      border-bottom-color: #2e63b8;
+      color: #2e63b8; }
+  .tabs ul {
+    align-items: center;
+    border-bottom-color: #dbdbdb;
+    border-bottom-style: solid;
+    border-bottom-width: 1px;
+    display: flex;
+    flex-grow: 1;
+    flex-shrink: 0;
+    justify-content: flex-start; }
+    .tabs ul.is-left {
+      padding-right: 0.75em; }
+    .tabs ul.is-center {
+      flex: none;
+      justify-content: center;
+      padding-left: 0.75em;
+      padding-right: 0.75em; }
+    .tabs ul.is-right {
+      justify-content: flex-end;
+      padding-left: 0.75em; }
+  .tabs .icon:first-child {
+    margin-right: 0.5em; }
+  .tabs .icon:last-child {
+    margin-left: 0.5em; }
+  .tabs.is-centered ul {
+    justify-content: center; }
+  .tabs.is-right ul {
+    justify-content: flex-end; }
+  .tabs.is-boxed a {
+    border: 1px solid transparent;
+    border-radius: 4px 4px 0 0; }
+    .tabs.is-boxed a:hover {
+      background-color: whitesmoke;
+      border-bottom-color: #dbdbdb; }
+  .tabs.is-boxed li.is-active a {
+    background-color: white;
+    border-color: #dbdbdb;
+    border-bottom-color: transparent !important; }
+  .tabs.is-fullwidth li {
+    flex-grow: 1;
+    flex-shrink: 0; }
+  .tabs.is-toggle a {
+    border-color: #dbdbdb;
+    border-style: solid;
+    border-width: 1px;
+    margin-bottom: 0;
+    position: relative; }
+    .tabs.is-toggle a:hover {
+      background-color: whitesmoke;
+      border-color: #b5b5b5;
+      z-index: 2; }
+  .tabs.is-toggle li + li {
+    margin-left: -1px; }
+  .tabs.is-toggle li:first-child a {
+    border-radius: 4px 0 0 4px; }
+  .tabs.is-toggle li:last-child a {
+    border-radius: 0 4px 4px 0; }
+  .tabs.is-toggle li.is-active a {
+    background-color: #2e63b8;
+    border-color: #2e63b8;
+    color: #fff;
+    z-index: 1; }
+  .tabs.is-toggle ul {
+    border-bottom: none; }
+  .tabs.is-toggle.is-toggle-rounded li:first-child a {
+    border-bottom-left-radius: 290486px;
+    border-top-left-radius: 290486px;
+    padding-left: 1.25em; }
+  .tabs.is-toggle.is-toggle-rounded li:last-child a {
+    border-bottom-right-radius: 290486px;
+    border-top-right-radius: 290486px;
+    padding-right: 1.25em; }
+  .tabs.is-small, #documenter .docs-sidebar form.docs-search > input.tabs {
+    font-size: 0.75rem; }
+  .tabs.is-medium {
+    font-size: 1.25rem; }
+  .tabs.is-large {
+    font-size: 1.5rem; }
+
+.column {
+  display: block;
+  flex-basis: 0;
+  flex-grow: 1;
+  flex-shrink: 1;
+  padding: 0.75rem; }
+  .columns.is-mobile > .column.is-narrow {
+    flex: none; }
+  .columns.is-mobile > .column.is-full {
+    flex: none;
+    width: 100%; }
+  .columns.is-mobile > .column.is-three-quarters {
+    flex: none;
+    width: 75%; }
+  .columns.is-mobile > .column.is-two-thirds {
+    flex: none;
+    width: 66.6666%; }
+  .columns.is-mobile > .column.is-half {
+    flex: none;
+    width: 50%; }
+  .columns.is-mobile > .column.is-one-third {
+    flex: none;
+    width: 33.3333%; }
+  .columns.is-mobile > .column.is-one-quarter {
+    flex: none;
+    width: 25%; }
+  .columns.is-mobile > .column.is-one-fifth {
+    flex: none;
+    width: 20%; }
+  .columns.is-mobile > .column.is-two-fifths {
+    flex: none;
+    width: 40%; }
+  .columns.is-mobile > .column.is-three-fifths {
+    flex: none;
+    width: 60%; }
+  .columns.is-mobile > .column.is-four-fifths {
+    flex: none;
+    width: 80%; }
+  .columns.is-mobile > .column.is-offset-three-quarters {
+    margin-left: 75%; }
+  .columns.is-mobile > .column.is-offset-two-thirds {
+    margin-left: 66.6666%; }
+  .columns.is-mobile > .column.is-offset-half {
+    margin-left: 50%; }
+  .columns.is-mobile > .column.is-offset-one-third {
+    margin-left: 33.3333%; }
+  .columns.is-mobile > .column.is-offset-one-quarter {
+    margin-left: 25%; }
+  .columns.is-mobile > .column.is-offset-one-fifth {
+    margin-left: 20%; }
+  .columns.is-mobile > .column.is-offset-two-fifths {
+    margin-left: 40%; }
+  .columns.is-mobile > .column.is-offset-three-fifths {
+    margin-left: 60%; }
+  .columns.is-mobile > .column.is-offset-four-fifths {
+    margin-left: 80%; }
+  .columns.is-mobile > .column.is-0 {
+    flex: none;
+    width: 0%; }
+  .columns.is-mobile > .column.is-offset-0 {
+    margin-left: 0%; }
+  .columns.is-mobile > .column.is-1 {
+    flex: none;
+    width: 8.3333333333%; }
+  .columns.is-mobile > .column.is-offset-1 {
+    margin-left: 8.3333333333%; }
+  .columns.is-mobile > .column.is-2 {
+    flex: none;
+    width: 16.6666666667%; }
+  .columns.is-mobile > .column.is-offset-2 {
+    margin-left: 16.6666666667%; }
+  .columns.is-mobile > .column.is-3 {
+    flex: none;
+    width: 25%; }
+  .columns.is-mobile > .column.is-offset-3 {
+    margin-left: 25%; }
+  .columns.is-mobile > .column.is-4 {
+    flex: none;
+    width: 33.3333333333%; }
+  .columns.is-mobile > .column.is-offset-4 {
+    margin-left: 33.3333333333%; }
+  .columns.is-mobile > .column.is-5 {
+    flex: none;
+    width: 41.6666666667%; }
+  .columns.is-mobile > .column.is-offset-5 {
+    margin-left: 41.6666666667%; }
+  .columns.is-mobile > .column.is-6 {
+    flex: none;
+    width: 50%; }
+  .columns.is-mobile > .column.is-offset-6 {
+    margin-left: 50%; }
+  .columns.is-mobile > .column.is-7 {
+    flex: none;
+    width: 58.3333333333%; }
+  .columns.is-mobile > .column.is-offset-7 {
+    margin-left: 58.3333333333%; }
+  .columns.is-mobile > .column.is-8 {
+    flex: none;
+    width: 66.6666666667%; }
+  .columns.is-mobile > .column.is-offset-8 {
+    margin-left: 66.6666666667%; }
+  .columns.is-mobile > .column.is-9 {
+    flex: none;
+    width: 75%; }
+  .columns.is-mobile > .column.is-offset-9 {
+    margin-left: 75%; }
+  .columns.is-mobile > .column.is-10 {
+    flex: none;
+    width: 83.3333333333%; }
+  .columns.is-mobile > .column.is-offset-10 {
+    margin-left: 83.3333333333%; }
+  .columns.is-mobile > .column.is-11 {
+    flex: none;
+    width: 91.6666666667%; }
+  .columns.is-mobile > .column.is-offset-11 {
+    margin-left: 91.6666666667%; }
+  .columns.is-mobile > .column.is-12 {
+    flex: none;
+    width: 100%; }
+  .columns.is-mobile > .column.is-offset-12 {
+    margin-left: 100%; }
+  @media screen and (max-width: 768px) {
+    .column.is-narrow-mobile {
+      flex: none; }
+    .column.is-full-mobile {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-mobile {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-mobile {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-mobile {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-mobile {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-mobile {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-mobile {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-mobile {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-mobile {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-mobile {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-mobile {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-mobile {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-mobile {
+      margin-left: 50%; }
+    .column.is-offset-one-third-mobile {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-mobile {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-mobile {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-mobile {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-mobile {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-mobile {
+      margin-left: 80%; }
+    .column.is-0-mobile {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-mobile {
+      margin-left: 0%; }
+    .column.is-1-mobile {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-mobile {
+      margin-left: 8.3333333333%; }
+    .column.is-2-mobile {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-mobile {
+      margin-left: 16.6666666667%; }
+    .column.is-3-mobile {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-mobile {
+      margin-left: 25%; }
+    .column.is-4-mobile {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-mobile {
+      margin-left: 33.3333333333%; }
+    .column.is-5-mobile {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-mobile {
+      margin-left: 41.6666666667%; }
+    .column.is-6-mobile {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-mobile {
+      margin-left: 50%; }
+    .column.is-7-mobile {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-mobile {
+      margin-left: 58.3333333333%; }
+    .column.is-8-mobile {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-mobile {
+      margin-left: 66.6666666667%; }
+    .column.is-9-mobile {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-mobile {
+      margin-left: 75%; }
+    .column.is-10-mobile {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-mobile {
+      margin-left: 83.3333333333%; }
+    .column.is-11-mobile {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-mobile {
+      margin-left: 91.6666666667%; }
+    .column.is-12-mobile {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-mobile {
+      margin-left: 100%; } }
+  @media screen and (min-width: 769px), print {
+    .column.is-narrow, .column.is-narrow-tablet {
+      flex: none; }
+    .column.is-full, .column.is-full-tablet {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters, .column.is-three-quarters-tablet {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds, .column.is-two-thirds-tablet {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half, .column.is-half-tablet {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third, .column.is-one-third-tablet {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter, .column.is-one-quarter-tablet {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth, .column.is-one-fifth-tablet {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths, .column.is-two-fifths-tablet {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths, .column.is-three-fifths-tablet {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths, .column.is-four-fifths-tablet {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters, .column.is-offset-three-quarters-tablet {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds, .column.is-offset-two-thirds-tablet {
+      margin-left: 66.6666%; }
+    .column.is-offset-half, .column.is-offset-half-tablet {
+      margin-left: 50%; }
+    .column.is-offset-one-third, .column.is-offset-one-third-tablet {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter, .column.is-offset-one-quarter-tablet {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth, .column.is-offset-one-fifth-tablet {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths, .column.is-offset-two-fifths-tablet {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths, .column.is-offset-three-fifths-tablet {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths, .column.is-offset-four-fifths-tablet {
+      margin-left: 80%; }
+    .column.is-0, .column.is-0-tablet {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0, .column.is-offset-0-tablet {
+      margin-left: 0%; }
+    .column.is-1, .column.is-1-tablet {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1, .column.is-offset-1-tablet {
+      margin-left: 8.3333333333%; }
+    .column.is-2, .column.is-2-tablet {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2, .column.is-offset-2-tablet {
+      margin-left: 16.6666666667%; }
+    .column.is-3, .column.is-3-tablet {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3, .column.is-offset-3-tablet {
+      margin-left: 25%; }
+    .column.is-4, .column.is-4-tablet {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4, .column.is-offset-4-tablet {
+      margin-left: 33.3333333333%; }
+    .column.is-5, .column.is-5-tablet {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5, .column.is-offset-5-tablet {
+      margin-left: 41.6666666667%; }
+    .column.is-6, .column.is-6-tablet {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6, .column.is-offset-6-tablet {
+      margin-left: 50%; }
+    .column.is-7, .column.is-7-tablet {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7, .column.is-offset-7-tablet {
+      margin-left: 58.3333333333%; }
+    .column.is-8, .column.is-8-tablet {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8, .column.is-offset-8-tablet {
+      margin-left: 66.6666666667%; }
+    .column.is-9, .column.is-9-tablet {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9, .column.is-offset-9-tablet {
+      margin-left: 75%; }
+    .column.is-10, .column.is-10-tablet {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10, .column.is-offset-10-tablet {
+      margin-left: 83.3333333333%; }
+    .column.is-11, .column.is-11-tablet {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11, .column.is-offset-11-tablet {
+      margin-left: 91.6666666667%; }
+    .column.is-12, .column.is-12-tablet {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12, .column.is-offset-12-tablet {
+      margin-left: 100%; } }
+  @media screen and (max-width: 1055px) {
+    .column.is-narrow-touch {
+      flex: none; }
+    .column.is-full-touch {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-touch {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-touch {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-touch {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-touch {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-touch {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-touch {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-touch {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-touch {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-touch {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-touch {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-touch {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-touch {
+      margin-left: 50%; }
+    .column.is-offset-one-third-touch {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-touch {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-touch {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-touch {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-touch {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-touch {
+      margin-left: 80%; }
+    .column.is-0-touch {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-touch {
+      margin-left: 0%; }
+    .column.is-1-touch {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-touch {
+      margin-left: 8.3333333333%; }
+    .column.is-2-touch {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-touch {
+      margin-left: 16.6666666667%; }
+    .column.is-3-touch {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-touch {
+      margin-left: 25%; }
+    .column.is-4-touch {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-touch {
+      margin-left: 33.3333333333%; }
+    .column.is-5-touch {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-touch {
+      margin-left: 41.6666666667%; }
+    .column.is-6-touch {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-touch {
+      margin-left: 50%; }
+    .column.is-7-touch {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-touch {
+      margin-left: 58.3333333333%; }
+    .column.is-8-touch {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-touch {
+      margin-left: 66.6666666667%; }
+    .column.is-9-touch {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-touch {
+      margin-left: 75%; }
+    .column.is-10-touch {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-touch {
+      margin-left: 83.3333333333%; }
+    .column.is-11-touch {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-touch {
+      margin-left: 91.6666666667%; }
+    .column.is-12-touch {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-touch {
+      margin-left: 100%; } }
+  @media screen and (min-width: 1056px) {
+    .column.is-narrow-desktop {
+      flex: none; }
+    .column.is-full-desktop {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-desktop {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-desktop {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-desktop {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-desktop {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-desktop {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-desktop {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-desktop {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-desktop {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-desktop {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-desktop {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-desktop {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-desktop {
+      margin-left: 50%; }
+    .column.is-offset-one-third-desktop {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-desktop {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-desktop {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-desktop {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-desktop {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-desktop {
+      margin-left: 80%; }
+    .column.is-0-desktop {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-desktop {
+      margin-left: 0%; }
+    .column.is-1-desktop {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-desktop {
+      margin-left: 8.3333333333%; }
+    .column.is-2-desktop {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-desktop {
+      margin-left: 16.6666666667%; }
+    .column.is-3-desktop {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-desktop {
+      margin-left: 25%; }
+    .column.is-4-desktop {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-desktop {
+      margin-left: 33.3333333333%; }
+    .column.is-5-desktop {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-desktop {
+      margin-left: 41.6666666667%; }
+    .column.is-6-desktop {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-desktop {
+      margin-left: 50%; }
+    .column.is-7-desktop {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-desktop {
+      margin-left: 58.3333333333%; }
+    .column.is-8-desktop {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-desktop {
+      margin-left: 66.6666666667%; }
+    .column.is-9-desktop {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-desktop {
+      margin-left: 75%; }
+    .column.is-10-desktop {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-desktop {
+      margin-left: 83.3333333333%; }
+    .column.is-11-desktop {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-desktop {
+      margin-left: 91.6666666667%; }
+    .column.is-12-desktop {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-desktop {
+      margin-left: 100%; } }
+  @media screen and (min-width: 1216px) {
+    .column.is-narrow-widescreen {
+      flex: none; }
+    .column.is-full-widescreen {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-widescreen {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-widescreen {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-widescreen {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-widescreen {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-widescreen {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-widescreen {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-widescreen {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-widescreen {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-widescreen {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-widescreen {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-widescreen {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-widescreen {
+      margin-left: 50%; }
+    .column.is-offset-one-third-widescreen {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-widescreen {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-widescreen {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-widescreen {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-widescreen {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-widescreen {
+      margin-left: 80%; }
+    .column.is-0-widescreen {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-widescreen {
+      margin-left: 0%; }
+    .column.is-1-widescreen {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-widescreen {
+      margin-left: 8.3333333333%; }
+    .column.is-2-widescreen {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-widescreen {
+      margin-left: 16.6666666667%; }
+    .column.is-3-widescreen {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-widescreen {
+      margin-left: 25%; }
+    .column.is-4-widescreen {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-widescreen {
+      margin-left: 33.3333333333%; }
+    .column.is-5-widescreen {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-widescreen {
+      margin-left: 41.6666666667%; }
+    .column.is-6-widescreen {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-widescreen {
+      margin-left: 50%; }
+    .column.is-7-widescreen {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-widescreen {
+      margin-left: 58.3333333333%; }
+    .column.is-8-widescreen {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-widescreen {
+      margin-left: 66.6666666667%; }
+    .column.is-9-widescreen {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-widescreen {
+      margin-left: 75%; }
+    .column.is-10-widescreen {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-widescreen {
+      margin-left: 83.3333333333%; }
+    .column.is-11-widescreen {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-widescreen {
+      margin-left: 91.6666666667%; }
+    .column.is-12-widescreen {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-widescreen {
+      margin-left: 100%; } }
+  @media screen and (min-width: 1408px) {
+    .column.is-narrow-fullhd {
+      flex: none; }
+    .column.is-full-fullhd {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-fullhd {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-fullhd {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-fullhd {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-fullhd {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-fullhd {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-fullhd {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-fullhd {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-fullhd {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-fullhd {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-fullhd {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-fullhd {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-fullhd {
+      margin-left: 50%; }
+    .column.is-offset-one-third-fullhd {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-fullhd {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-fullhd {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-fullhd {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-fullhd {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-fullhd {
+      margin-left: 80%; }
+    .column.is-0-fullhd {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-fullhd {
+      margin-left: 0%; }
+    .column.is-1-fullhd {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-fullhd {
+      margin-left: 8.3333333333%; }
+    .column.is-2-fullhd {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-fullhd {
+      margin-left: 16.6666666667%; }
+    .column.is-3-fullhd {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-fullhd {
+      margin-left: 25%; }
+    .column.is-4-fullhd {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-fullhd {
+      margin-left: 33.3333333333%; }
+    .column.is-5-fullhd {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-fullhd {
+      margin-left: 41.6666666667%; }
+    .column.is-6-fullhd {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-fullhd {
+      margin-left: 50%; }
+    .column.is-7-fullhd {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-fullhd {
+      margin-left: 58.3333333333%; }
+    .column.is-8-fullhd {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-fullhd {
+      margin-left: 66.6666666667%; }
+    .column.is-9-fullhd {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-fullhd {
+      margin-left: 75%; }
+    .column.is-10-fullhd {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-fullhd {
+      margin-left: 83.3333333333%; }
+    .column.is-11-fullhd {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-fullhd {
+      margin-left: 91.6666666667%; }
+    .column.is-12-fullhd {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-fullhd {
+      margin-left: 100%; } }
+.columns {
+  margin-left: -0.75rem;
+  margin-right: -0.75rem;
+  margin-top: -0.75rem; }
+  .columns:last-child {
+    margin-bottom: -0.75rem; }
+  .columns:not(:last-child) {
+    margin-bottom: calc(1.5rem - 0.75rem); }
+  .columns.is-centered {
+    justify-content: center; }
+  .columns.is-gapless {
+    margin-left: 0;
+    margin-right: 0;
+    margin-top: 0; }
+    .columns.is-gapless > .column {
+      margin: 0;
+      padding: 0 !important; }
+    .columns.is-gapless:not(:last-child) {
+      margin-bottom: 1.5rem; }
+    .columns.is-gapless:last-child {
+      margin-bottom: 0; }
+  .columns.is-mobile {
+    display: flex; }
+  .columns.is-multiline {
+    flex-wrap: wrap; }
+  .columns.is-vcentered {
+    align-items: center; }
+  @media screen and (min-width: 769px), print {
+    .columns:not(.is-desktop) {
+      display: flex; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-desktop {
+      display: flex; } }
+.columns.is-variable {
+  --columnGap: 0.75rem;
+  margin-left: calc(-1 * var(--columnGap));
+  margin-right: calc(-1 * var(--columnGap)); }
+  .columns.is-variable .column {
+    padding-left: var(--columnGap);
+    padding-right: var(--columnGap); }
+  .columns.is-variable.is-0 {
+    --columnGap: 0rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-0-mobile {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-0-tablet {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-0-tablet-only {
+      --columnGap: 0rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-0-touch {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-0-desktop {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-0-desktop-only {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-0-widescreen {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-0-widescreen-only {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-0-fullhd {
+      --columnGap: 0rem; } }
+  .columns.is-variable.is-1 {
+    --columnGap: 0.25rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-1-mobile {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-1-tablet {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-1-tablet-only {
+      --columnGap: 0.25rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-1-touch {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-1-desktop {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-1-desktop-only {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-1-widescreen {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-1-widescreen-only {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-1-fullhd {
+      --columnGap: 0.25rem; } }
+  .columns.is-variable.is-2 {
+    --columnGap: 0.5rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-2-mobile {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-2-tablet {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-2-tablet-only {
+      --columnGap: 0.5rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-2-touch {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-2-desktop {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-2-desktop-only {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-2-widescreen {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-2-widescreen-only {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-2-fullhd {
+      --columnGap: 0.5rem; } }
+  .columns.is-variable.is-3 {
+    --columnGap: 0.75rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-3-mobile {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-3-tablet {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-3-tablet-only {
+      --columnGap: 0.75rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-3-touch {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-3-desktop {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-3-desktop-only {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-3-widescreen {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-3-widescreen-only {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-3-fullhd {
+      --columnGap: 0.75rem; } }
+  .columns.is-variable.is-4 {
+    --columnGap: 1rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-4-mobile {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-4-tablet {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-4-tablet-only {
+      --columnGap: 1rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-4-touch {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-4-desktop {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-4-desktop-only {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-4-widescreen {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-4-widescreen-only {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-4-fullhd {
+      --columnGap: 1rem; } }
+  .columns.is-variable.is-5 {
+    --columnGap: 1.25rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-5-mobile {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-5-tablet {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-5-tablet-only {
+      --columnGap: 1.25rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-5-touch {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-5-desktop {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-5-desktop-only {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-5-widescreen {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-5-widescreen-only {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-5-fullhd {
+      --columnGap: 1.25rem; } }
+  .columns.is-variable.is-6 {
+    --columnGap: 1.5rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-6-mobile {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-6-tablet {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-6-tablet-only {
+      --columnGap: 1.5rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-6-touch {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-6-desktop {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-6-desktop-only {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-6-widescreen {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-6-widescreen-only {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-6-fullhd {
+      --columnGap: 1.5rem; } }
+  .columns.is-variable.is-7 {
+    --columnGap: 1.75rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-7-mobile {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-7-tablet {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-7-tablet-only {
+      --columnGap: 1.75rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-7-touch {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-7-desktop {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-7-desktop-only {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-7-widescreen {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-7-widescreen-only {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-7-fullhd {
+      --columnGap: 1.75rem; } }
+  .columns.is-variable.is-8 {
+    --columnGap: 2rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-8-mobile {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-8-tablet {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-8-tablet-only {
+      --columnGap: 2rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-8-touch {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-8-desktop {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-8-desktop-only {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-8-widescreen {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-8-widescreen-only {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-8-fullhd {
+      --columnGap: 2rem; } }
+.tile {
+  align-items: stretch;
+  display: block;
+  flex-basis: 0;
+  flex-grow: 1;
+  flex-shrink: 1;
+  min-height: min-content; }
+  .tile.is-ancestor {
+    margin-left: -0.75rem;
+    margin-right: -0.75rem;
+    margin-top: -0.75rem; }
+    .tile.is-ancestor:last-child {
+      margin-bottom: -0.75rem; }
+    .tile.is-ancestor:not(:last-child) {
+      margin-bottom: 0.75rem; }
+  .tile.is-child {
+    margin: 0 !important; }
+  .tile.is-parent {
+    padding: 0.75rem; }
+  .tile.is-vertical {
+    flex-direction: column; }
+    .tile.is-vertical > .tile.is-child:not(:last-child) {
+      margin-bottom: 1.5rem !important; }
+  @media screen and (min-width: 769px), print {
+    .tile:not(.is-child) {
+      display: flex; }
+    .tile.is-1 {
+      flex: none;
+      width: 8.3333333333%; }
+    .tile.is-2 {
+      flex: none;
+      width: 16.6666666667%; }
+    .tile.is-3 {
+      flex: none;
+      width: 25%; }
+    .tile.is-4 {
+      flex: none;
+      width: 33.3333333333%; }
+    .tile.is-5 {
+      flex: none;
+      width: 41.6666666667%; }
+    .tile.is-6 {
+      flex: none;
+      width: 50%; }
+    .tile.is-7 {
+      flex: none;
+      width: 58.3333333333%; }
+    .tile.is-8 {
+      flex: none;
+      width: 66.6666666667%; }
+    .tile.is-9 {
+      flex: none;
+      width: 75%; }
+    .tile.is-10 {
+      flex: none;
+      width: 83.3333333333%; }
+    .tile.is-11 {
+      flex: none;
+      width: 91.6666666667%; }
+    .tile.is-12 {
+      flex: none;
+      width: 100%; } }
+.hero {
+  align-items: stretch;
+  display: flex;
+  flex-direction: column;
+  justify-content: space-between; }
+  .hero .navbar {
+    background: none; }
+  .hero .tabs ul {
+    border-bottom: none; }
+  .hero.is-white {
+    background-color: white;
+    color: #0a0a0a; }
+    .hero.is-white a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-white strong {
+      color: inherit; }
+    .hero.is-white .title {
+      color: #0a0a0a; }
+    .hero.is-white .subtitle {
+      color: rgba(10, 10, 10, 0.9); }
+      .hero.is-white .subtitle a:not(.button),
+      .hero.is-white .subtitle strong {
+        color: #0a0a0a; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-white .navbar-menu {
+        background-color: white; } }
+    .hero.is-white .navbar-item,
+    .hero.is-white .navbar-link {
+      color: rgba(10, 10, 10, 0.7); }
+    .hero.is-white a.navbar-item:hover, .hero.is-white a.navbar-item.is-active,
+    .hero.is-white .navbar-link:hover,
+    .hero.is-white .navbar-link.is-active {
+      background-color: #f2f2f2;
+      color: #0a0a0a; }
+    .hero.is-white .tabs a {
+      color: #0a0a0a;
+      opacity: 0.9; }
+      .hero.is-white .tabs a:hover {
+        opacity: 1; }
+    .hero.is-white .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-white .tabs.is-boxed a, .hero.is-white .tabs.is-toggle a {
+      color: #0a0a0a; }
+      .hero.is-white .tabs.is-boxed a:hover, .hero.is-white .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-white .tabs.is-boxed li.is-active a, .hero.is-white .tabs.is-boxed li.is-active a:hover, .hero.is-white .tabs.is-toggle li.is-active a, .hero.is-white .tabs.is-toggle li.is-active a:hover {
+      background-color: #0a0a0a;
+      border-color: #0a0a0a;
+      color: white; }
+    .hero.is-white.is-bold {
+      background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-white.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); } }
+  .hero.is-black {
+    background-color: #0a0a0a;
+    color: white; }
+    .hero.is-black a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-black strong {
+      color: inherit; }
+    .hero.is-black .title {
+      color: white; }
+    .hero.is-black .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-black .subtitle a:not(.button),
+      .hero.is-black .subtitle strong {
+        color: white; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-black .navbar-menu {
+        background-color: #0a0a0a; } }
+    .hero.is-black .navbar-item,
+    .hero.is-black .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-black a.navbar-item:hover, .hero.is-black a.navbar-item.is-active,
+    .hero.is-black .navbar-link:hover,
+    .hero.is-black .navbar-link.is-active {
+      background-color: black;
+      color: white; }
+    .hero.is-black .tabs a {
+      color: white;
+      opacity: 0.9; }
+      .hero.is-black .tabs a:hover {
+        opacity: 1; }
+    .hero.is-black .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-black .tabs.is-boxed a, .hero.is-black .tabs.is-toggle a {
+      color: white; }
+      .hero.is-black .tabs.is-boxed a:hover, .hero.is-black .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-black .tabs.is-boxed li.is-active a, .hero.is-black .tabs.is-boxed li.is-active a:hover, .hero.is-black .tabs.is-toggle li.is-active a, .hero.is-black .tabs.is-toggle li.is-active a:hover {
+      background-color: white;
+      border-color: white;
+      color: #0a0a0a; }
+    .hero.is-black.is-bold {
+      background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-black.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } }
+  .hero.is-light {
+    background-color: whitesmoke;
+    color: #363636; }
+    .hero.is-light a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-light strong {
+      color: inherit; }
+    .hero.is-light .title {
+      color: #363636; }
+    .hero.is-light .subtitle {
+      color: rgba(54, 54, 54, 0.9); }
+      .hero.is-light .subtitle a:not(.button),
+      .hero.is-light .subtitle strong {
+        color: #363636; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-light .navbar-menu {
+        background-color: whitesmoke; } }
+    .hero.is-light .navbar-item,
+    .hero.is-light .navbar-link {
+      color: rgba(54, 54, 54, 0.7); }
+    .hero.is-light a.navbar-item:hover, .hero.is-light a.navbar-item.is-active,
+    .hero.is-light .navbar-link:hover,
+    .hero.is-light .navbar-link.is-active {
+      background-color: #e8e8e8;
+      color: #363636; }
+    .hero.is-light .tabs a {
+      color: #363636;
+      opacity: 0.9; }
+      .hero.is-light .tabs a:hover {
+        opacity: 1; }
+    .hero.is-light .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-light .tabs.is-boxed a, .hero.is-light .tabs.is-toggle a {
+      color: #363636; }
+      .hero.is-light .tabs.is-boxed a:hover, .hero.is-light .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-light .tabs.is-boxed li.is-active a, .hero.is-light .tabs.is-boxed li.is-active a:hover, .hero.is-light .tabs.is-toggle li.is-active a, .hero.is-light .tabs.is-toggle li.is-active a:hover {
+      background-color: #363636;
+      border-color: #363636;
+      color: whitesmoke; }
+    .hero.is-light.is-bold {
+      background-image: linear-gradient(141deg, #dfd8d9 0%, whitesmoke 71%, white 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-light.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #dfd8d9 0%, whitesmoke 71%, white 100%); } }
+  .hero.is-dark, .content kbd.hero {
+    background-color: #363636;
+    color: whitesmoke; }
+    .hero.is-dark a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), .content kbd.hero a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-dark strong,
+    .content kbd.hero strong {
+      color: inherit; }
+    .hero.is-dark .title, .content kbd.hero .title {
+      color: whitesmoke; }
+    .hero.is-dark .subtitle, .content kbd.hero .subtitle {
+      color: rgba(245, 245, 245, 0.9); }
+      .hero.is-dark .subtitle a:not(.button), .content kbd.hero .subtitle a:not(.button),
+      .hero.is-dark .subtitle strong,
+      .content kbd.hero .subtitle strong {
+        color: whitesmoke; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-dark .navbar-menu, .content kbd.hero .navbar-menu {
+        background-color: #363636; } }
+    .hero.is-dark .navbar-item, .content kbd.hero .navbar-item,
+    .hero.is-dark .navbar-link,
+    .content kbd.hero .navbar-link {
+      color: rgba(245, 245, 245, 0.7); }
+    .hero.is-dark a.navbar-item:hover, .content kbd.hero a.navbar-item:hover, .hero.is-dark a.navbar-item.is-active, .content kbd.hero a.navbar-item.is-active,
+    .hero.is-dark .navbar-link:hover,
+    .content kbd.hero .navbar-link:hover,
+    .hero.is-dark .navbar-link.is-active,
+    .content kbd.hero .navbar-link.is-active {
+      background-color: #292929;
+      color: whitesmoke; }
+    .hero.is-dark .tabs a, .content kbd.hero .tabs a {
+      color: whitesmoke;
+      opacity: 0.9; }
+      .hero.is-dark .tabs a:hover, .content kbd.hero .tabs a:hover {
+        opacity: 1; }
+    .hero.is-dark .tabs li.is-active a, .content kbd.hero .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-dark .tabs.is-boxed a, .content kbd.hero .tabs.is-boxed a, .hero.is-dark .tabs.is-toggle a, .content kbd.hero .tabs.is-toggle a {
+      color: whitesmoke; }
+      .hero.is-dark .tabs.is-boxed a:hover, .content kbd.hero .tabs.is-boxed a:hover, .hero.is-dark .tabs.is-toggle a:hover, .content kbd.hero .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-dark .tabs.is-boxed li.is-active a, .content kbd.hero .tabs.is-boxed li.is-active a, .hero.is-dark .tabs.is-boxed li.is-active a:hover, .hero.is-dark .tabs.is-toggle li.is-active a, .content kbd.hero .tabs.is-toggle li.is-active a, .hero.is-dark .tabs.is-toggle li.is-active a:hover {
+      background-color: whitesmoke;
+      border-color: whitesmoke;
+      color: #363636; }
+    .hero.is-dark.is-bold, .content kbd.hero.is-bold {
+      background-image: linear-gradient(141deg, #1f191a 0%, #363636 71%, #46403f 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-dark.is-bold .navbar-menu, .content kbd.hero.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #1f191a 0%, #363636 71%, #46403f 100%); } }
+  .hero.is-primary, .docstring > section > a.hero.docs-sourcelink {
+    background-color: #4eb5de;
+    color: #fff; }
+    .hero.is-primary a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), .docstring > section > a.hero.docs-sourcelink a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-primary strong,
+    .docstring > section > a.hero.docs-sourcelink strong {
+      color: inherit; }
+    .hero.is-primary .title, .docstring > section > a.hero.docs-sourcelink .title {
+      color: #fff; }
+    .hero.is-primary .subtitle, .docstring > section > a.hero.docs-sourcelink .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-primary .subtitle a:not(.button), .docstring > section > a.hero.docs-sourcelink .subtitle a:not(.button),
+      .hero.is-primary .subtitle strong,
+      .docstring > section > a.hero.docs-sourcelink .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-primary .navbar-menu, .docstring > section > a.hero.docs-sourcelink .navbar-menu {
+        background-color: #4eb5de; } }
+    .hero.is-primary .navbar-item, .docstring > section > a.hero.docs-sourcelink .navbar-item,
+    .hero.is-primary .navbar-link,
+    .docstring > section > a.hero.docs-sourcelink .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-primary a.navbar-item:hover, .docstring > section > a.hero.docs-sourcelink a.navbar-item:hover, .hero.is-primary a.navbar-item.is-active, .docstring > section > a.hero.docs-sourcelink a.navbar-item.is-active,
+    .hero.is-primary .navbar-link:hover,
+    .docstring > section > a.hero.docs-sourcelink .navbar-link:hover,
+    .hero.is-primary .navbar-link.is-active,
+    .docstring > section > a.hero.docs-sourcelink .navbar-link.is-active {
+      background-color: #39acda;
+      color: #fff; }
+    .hero.is-primary .tabs a, .docstring > section > a.hero.docs-sourcelink .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-primary .tabs a:hover, .docstring > section > a.hero.docs-sourcelink .tabs a:hover {
+        opacity: 1; }
+    .hero.is-primary .tabs li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-primary .tabs.is-boxed a, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a, .hero.is-primary .tabs.is-toggle a, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-primary .tabs.is-boxed a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a:hover, .hero.is-primary .tabs.is-toggle a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-primary .tabs.is-boxed li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a, .hero.is-primary .tabs.is-boxed li.is-active a:hover, .hero.is-primary .tabs.is-toggle li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a, .hero.is-primary .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #4eb5de; }
+    .hero.is-primary.is-bold, .docstring > section > a.hero.is-bold.docs-sourcelink {
+      background-image: linear-gradient(141deg, #1bc7de 0%, #4eb5de 71%, #5fa9e7 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-primary.is-bold .navbar-menu, .docstring > section > a.hero.is-bold.docs-sourcelink .navbar-menu {
+          background-image: linear-gradient(141deg, #1bc7de 0%, #4eb5de 71%, #5fa9e7 100%); } }
+  .hero.is-link {
+    background-color: #2e63b8;
+    color: #fff; }
+    .hero.is-link a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-link strong {
+      color: inherit; }
+    .hero.is-link .title {
+      color: #fff; }
+    .hero.is-link .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-link .subtitle a:not(.button),
+      .hero.is-link .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-link .navbar-menu {
+        background-color: #2e63b8; } }
+    .hero.is-link .navbar-item,
+    .hero.is-link .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-link a.navbar-item:hover, .hero.is-link a.navbar-item.is-active,
+    .hero.is-link .navbar-link:hover,
+    .hero.is-link .navbar-link.is-active {
+      background-color: #2958a4;
+      color: #fff; }
+    .hero.is-link .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-link .tabs a:hover {
+        opacity: 1; }
+    .hero.is-link .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-link .tabs.is-boxed a, .hero.is-link .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-link .tabs.is-boxed a:hover, .hero.is-link .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-link .tabs.is-boxed li.is-active a, .hero.is-link .tabs.is-boxed li.is-active a:hover, .hero.is-link .tabs.is-toggle li.is-active a, .hero.is-link .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #2e63b8; }
+    .hero.is-link.is-bold {
+      background-image: linear-gradient(141deg, #1b6098 0%, #2e63b8 71%, #2d51d2 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-link.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #1b6098 0%, #2e63b8 71%, #2d51d2 100%); } }
+  .hero.is-info {
+    background-color: #209cee;
+    color: #fff; }
+    .hero.is-info a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-info strong {
+      color: inherit; }
+    .hero.is-info .title {
+      color: #fff; }
+    .hero.is-info .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-info .subtitle a:not(.button),
+      .hero.is-info .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-info .navbar-menu {
+        background-color: #209cee; } }
+    .hero.is-info .navbar-item,
+    .hero.is-info .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-info a.navbar-item:hover, .hero.is-info a.navbar-item.is-active,
+    .hero.is-info .navbar-link:hover,
+    .hero.is-info .navbar-link.is-active {
+      background-color: #1190e3;
+      color: #fff; }
+    .hero.is-info .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-info .tabs a:hover {
+        opacity: 1; }
+    .hero.is-info .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-info .tabs.is-boxed a, .hero.is-info .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-info .tabs.is-boxed a:hover, .hero.is-info .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-info .tabs.is-boxed li.is-active a, .hero.is-info .tabs.is-boxed li.is-active a:hover, .hero.is-info .tabs.is-toggle li.is-active a, .hero.is-info .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #209cee; }
+    .hero.is-info.is-bold {
+      background-image: linear-gradient(141deg, #05a6d6 0%, #209cee 71%, #3287f5 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-info.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #05a6d6 0%, #209cee 71%, #3287f5 100%); } }
+  .hero.is-success {
+    background-color: #22c35b;
+    color: #fff; }
+    .hero.is-success a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-success strong {
+      color: inherit; }
+    .hero.is-success .title {
+      color: #fff; }
+    .hero.is-success .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-success .subtitle a:not(.button),
+      .hero.is-success .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-success .navbar-menu {
+        background-color: #22c35b; } }
+    .hero.is-success .navbar-item,
+    .hero.is-success .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-success a.navbar-item:hover, .hero.is-success a.navbar-item.is-active,
+    .hero.is-success .navbar-link:hover,
+    .hero.is-success .navbar-link.is-active {
+      background-color: #1ead51;
+      color: #fff; }
+    .hero.is-success .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-success .tabs a:hover {
+        opacity: 1; }
+    .hero.is-success .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-success .tabs.is-boxed a, .hero.is-success .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-success .tabs.is-boxed a:hover, .hero.is-success .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-success .tabs.is-boxed li.is-active a, .hero.is-success .tabs.is-boxed li.is-active a:hover, .hero.is-success .tabs.is-toggle li.is-active a, .hero.is-success .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #22c35b; }
+    .hero.is-success.is-bold {
+      background-image: linear-gradient(141deg, #12a02c 0%, #22c35b 71%, #1fdf83 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-success.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #12a02c 0%, #22c35b 71%, #1fdf83 100%); } }
+  .hero.is-warning {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-warning strong {
+      color: inherit; }
+    .hero.is-warning .title {
+      color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning .subtitle {
+      color: rgba(0, 0, 0, 0.9); }
+      .hero.is-warning .subtitle a:not(.button),
+      .hero.is-warning .subtitle strong {
+        color: rgba(0, 0, 0, 0.7); }
+    @media screen and (max-width: 1055px) {
+      .hero.is-warning .navbar-menu {
+        background-color: #ffdd57; } }
+    .hero.is-warning .navbar-item,
+    .hero.is-warning .navbar-link {
+      color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning a.navbar-item:hover, .hero.is-warning a.navbar-item.is-active,
+    .hero.is-warning .navbar-link:hover,
+    .hero.is-warning .navbar-link.is-active {
+      background-color: #ffd83e;
+      color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning .tabs a {
+      color: rgba(0, 0, 0, 0.7);
+      opacity: 0.9; }
+      .hero.is-warning .tabs a:hover {
+        opacity: 1; }
+    .hero.is-warning .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-warning .tabs.is-boxed a, .hero.is-warning .tabs.is-toggle a {
+      color: rgba(0, 0, 0, 0.7); }
+      .hero.is-warning .tabs.is-boxed a:hover, .hero.is-warning .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-warning .tabs.is-boxed li.is-active a, .hero.is-warning .tabs.is-boxed li.is-active a:hover, .hero.is-warning .tabs.is-toggle li.is-active a, .hero.is-warning .tabs.is-toggle li.is-active a:hover {
+      background-color: rgba(0, 0, 0, 0.7);
+      border-color: rgba(0, 0, 0, 0.7);
+      color: #ffdd57; }
+    .hero.is-warning.is-bold {
+      background-image: linear-gradient(141deg, #ffae24 0%, #ffdd57 71%, #fffa71 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-warning.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #ffae24 0%, #ffdd57 71%, #fffa71 100%); } }
+  .hero.is-danger {
+    background-color: #da0b00;
+    color: #fff; }
+    .hero.is-danger a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-danger strong {
+      color: inherit; }
+    .hero.is-danger .title {
+      color: #fff; }
+    .hero.is-danger .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-danger .subtitle a:not(.button),
+      .hero.is-danger .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-danger .navbar-menu {
+        background-color: #da0b00; } }
+    .hero.is-danger .navbar-item,
+    .hero.is-danger .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-danger a.navbar-item:hover, .hero.is-danger a.navbar-item.is-active,
+    .hero.is-danger .navbar-link:hover,
+    .hero.is-danger .navbar-link.is-active {
+      background-color: #c10a00;
+      color: #fff; }
+    .hero.is-danger .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-danger .tabs a:hover {
+        opacity: 1; }
+    .hero.is-danger .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-danger .tabs.is-boxed a, .hero.is-danger .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-danger .tabs.is-boxed a:hover, .hero.is-danger .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-danger .tabs.is-boxed li.is-active a, .hero.is-danger .tabs.is-boxed li.is-active a:hover, .hero.is-danger .tabs.is-toggle li.is-active a, .hero.is-danger .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #da0b00; }
+    .hero.is-danger.is-bold {
+      background-image: linear-gradient(141deg, #a70013 0%, #da0b00 71%, #f43500 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-danger.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #a70013 0%, #da0b00 71%, #f43500 100%); } }
+  .hero.is-small .hero-body, #documenter .docs-sidebar form.docs-search > input.hero .hero-body {
+    padding-bottom: 1.5rem;
+    padding-top: 1.5rem; }
+  @media screen and (min-width: 769px), print {
+    .hero.is-medium .hero-body {
+      padding-bottom: 9rem;
+      padding-top: 9rem; } }
+  @media screen and (min-width: 769px), print {
+    .hero.is-large .hero-body {
+      padding-bottom: 18rem;
+      padding-top: 18rem; } }
+  .hero.is-halfheight .hero-body, .hero.is-fullheight .hero-body, .hero.is-fullheight-with-navbar .hero-body {
+    align-items: center;
+    display: flex; }
+    .hero.is-halfheight .hero-body > .container, .hero.is-fullheight .hero-body > .container, .hero.is-fullheight-with-navbar .hero-body > .container {
+      flex-grow: 1;
+      flex-shrink: 1; }
+  .hero.is-halfheight {
+    min-height: 50vh; }
+  .hero.is-fullheight {
+    min-height: 100vh; }
+
+.hero-video {
+  overflow: hidden; }
+  .hero-video video {
+    left: 50%;
+    min-height: 100%;
+    min-width: 100%;
+    position: absolute;
+    top: 50%;
+    transform: translate3d(-50%, -50%, 0); }
+  .hero-video.is-transparent {
+    opacity: 0.3; }
+  @media screen and (max-width: 768px) {
+    .hero-video {
+      display: none; } }
+.hero-buttons {
+  margin-top: 1.5rem; }
+  @media screen and (max-width: 768px) {
+    .hero-buttons .button {
+      display: flex; }
+      .hero-buttons .button:not(:last-child) {
+        margin-bottom: 0.75rem; } }
+  @media screen and (min-width: 769px), print {
+    .hero-buttons {
+      display: flex;
+      justify-content: center; }
+      .hero-buttons .button:not(:last-child) {
+        margin-right: 1.5rem; } }
+.hero-head,
+.hero-foot {
+  flex-grow: 0;
+  flex-shrink: 0; }
+
+.hero-body {
+  flex-grow: 1;
+  flex-shrink: 0;
+  padding: 3rem 1.5rem; }
+
+.section {
+  padding: 3rem 1.5rem; }
+  @media screen and (min-width: 1056px) {
+    .section.is-medium {
+      padding: 9rem 1.5rem; }
+    .section.is-large {
+      padding: 18rem 1.5rem; } }
+.footer {
+  background-color: #fafafa;
+  padding: 3rem 1.5rem 6rem; }
+
+h1 .docs-heading-anchor, h1 .docs-heading-anchor:hover, h1 .docs-heading-anchor:visited, h2 .docs-heading-anchor, h2 .docs-heading-anchor:hover, h2 .docs-heading-anchor:visited, h3 .docs-heading-anchor, h3 .docs-heading-anchor:hover, h3 .docs-heading-anchor:visited, h4 .docs-heading-anchor, h4 .docs-heading-anchor:hover, h4 .docs-heading-anchor:visited, h5 .docs-heading-anchor, h5 .docs-heading-anchor:hover, h5 .docs-heading-anchor:visited, h6 .docs-heading-anchor, h6 .docs-heading-anchor:hover, h6 .docs-heading-anchor:visited {
+  color: #222222; }
+
+h1 .docs-heading-anchor-permalink, h2 .docs-heading-anchor-permalink, h3 .docs-heading-anchor-permalink, h4 .docs-heading-anchor-permalink, h5 .docs-heading-anchor-permalink, h6 .docs-heading-anchor-permalink {
+  visibility: hidden;
+  vertical-align: middle;
+  margin-left: 0.5em;
+  font-size: 0.7rem; }
+  h1 .docs-heading-anchor-permalink::before, h2 .docs-heading-anchor-permalink::before, h3 .docs-heading-anchor-permalink::before, h4 .docs-heading-anchor-permalink::before, h5 .docs-heading-anchor-permalink::before, h6 .docs-heading-anchor-permalink::before {
+    font-family: "Font Awesome 5 Free";
+    font-weight: 900;
+    content: "\f0c1"; }
+
+h1:hover .docs-heading-anchor-permalink, h2:hover .docs-heading-anchor-permalink, h3:hover .docs-heading-anchor-permalink, h4:hover .docs-heading-anchor-permalink, h5:hover .docs-heading-anchor-permalink, h6:hover .docs-heading-anchor-permalink {
+  visibility: visible; }
+
+.docs-dark-only {
+  display: none !important; }
+
+pre {
+  position: relative;
+  overflow: hidden; }
+  pre code, pre code.hljs {
+    padding: 0 0.5rem !important;
+    overflow: auto;
+    display: block; }
+  pre code:first-of-type, pre code.hljs:first-of-type {
+    padding-top: 0.7rem !important; }
+  pre code:last-of-type, pre code.hljs:last-of-type {
+    padding-bottom: 0.7rem !important; }
+  pre .copy-button {
+    opacity: 0.2;
+    transition: opacity 0.2s;
+    position: absolute;
+    right: 0em;
+    top: 0em;
+    padding: 0.5em;
+    width: 2.5em;
+    height: 2.5em;
+    background: transparent;
+    border: none;
+    font-family: "Font Awesome 5 Free";
+    color: #222222;
+    cursor: pointer;
+    text-align: center; }
+    pre .copy-button:focus, pre .copy-button:hover {
+      opacity: 1;
+      background: rgba(34, 34, 34, 0.1);
+      color: #2e63b8; }
+    pre .copy-button.success {
+      color: #259a12;
+      opacity: 1; }
+    pre .copy-button.error {
+      color: #cb3c33;
+      opacity: 1; }
+  pre:hover .copy-button {
+    opacity: 1; }
+
+.admonition {
+  background-color: #b5b5b5;
+  border-style: solid;
+  border-width: 1px;
+  border-color: #363636;
+  border-radius: 4px;
+  font-size: 1rem; }
+  .admonition strong {
+    color: currentColor; }
+  .admonition.is-small, #documenter .docs-sidebar form.docs-search > input.admonition {
+    font-size: 0.75rem; }
+  .admonition.is-medium {
+    font-size: 1.25rem; }
+  .admonition.is-large {
+    font-size: 1.5rem; }
+  .admonition.is-default {
+    background-color: #b5b5b5;
+    border-color: #363636; }
+    .admonition.is-default > .admonition-header {
+      background-color: #363636;
+      color: #fff; }
+    .admonition.is-default > .admonition-body {
+      color: #fff; }
+  .admonition.is-info {
+    background-color: #def0fc;
+    border-color: #209cee; }
+    .admonition.is-info > .admonition-header {
+      background-color: #209cee;
+      color: #fff; }
+    .admonition.is-info > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-success {
+    background-color: #bdf4d1;
+    border-color: #22c35b; }
+    .admonition.is-success > .admonition-header {
+      background-color: #22c35b;
+      color: #fff; }
+    .admonition.is-success > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-warning {
+    background-color: #fff3c5;
+    border-color: #ffdd57; }
+    .admonition.is-warning > .admonition-header {
+      background-color: #ffdd57;
+      color: rgba(0, 0, 0, 0.7); }
+    .admonition.is-warning > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-danger {
+    background-color: #ffaba7;
+    border-color: #da0b00; }
+    .admonition.is-danger > .admonition-header {
+      background-color: #da0b00;
+      color: #fff; }
+    .admonition.is-danger > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-compat {
+    background-color: #bdeff5;
+    border-color: #1db5c9; }
+    .admonition.is-compat > .admonition-header {
+      background-color: #1db5c9;
+      color: #fff; }
+    .admonition.is-compat > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+
+.admonition-header {
+  color: #fff;
+  background-color: #363636;
+  align-items: center;
+  font-weight: 700;
+  justify-content: space-between;
+  line-height: 1.25;
+  padding: 0.75em;
+  position: relative; }
+  .admonition-header:before {
+    font-family: "Font Awesome 5 Free";
+    font-weight: 900;
+    margin-right: 0.75em;
+    content: "\f06a"; }
+
+.admonition-body {
+  color: #222222;
+  padding: 1em 1.25em; }
+  .admonition-body pre {
+    background-color: whitesmoke; }
+  .admonition-body code {
+    background-color: rgba(0, 0, 0, 0.05); }
+
+.docstring {
+  margin-bottom: 1em;
+  background-color: transparent;
+  border: 1px solid #dbdbdb;
+  box-shadow: 2px 2px 3px rgba(10, 10, 10, 0.1);
+  max-width: 100%; }
+  .docstring > header {
+    display: flex;
+    flex-grow: 1;
+    align-items: stretch;
+    padding: 0.75rem;
+    background-color: whitesmoke;
+    box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+    box-shadow: none;
+    border-bottom: 1px solid #dbdbdb; }
+    .docstring > header code {
+      background-color: transparent; }
+    .docstring > header .docstring-binding {
+      margin-right: 0.3em; }
+    .docstring > header .docstring-category {
+      margin-left: 0.3em; }
+  .docstring > section {
+    position: relative;
+    padding: 1rem 1.25rem;
+    border-bottom: 1px solid #dbdbdb; }
+    .docstring > section:last-child {
+      border-bottom: none; }
+    .docstring > section > a.docs-sourcelink {
+      transition: opacity 0.3s;
+      opacity: 0;
+      position: absolute;
+      right: 0.625rem;
+      bottom: 0.5rem; }
+      .docstring > section > a.docs-sourcelink:focus {
+        opacity: 1 !important; }
+  .docstring:hover > section > a.docs-sourcelink {
+    opacity: 0.2; }
+  .docstring:focus-within > section > a.docs-sourcelink {
+    opacity: 0.2; }
+  .docstring > section:hover a.docs-sourcelink {
+    opacity: 1; }
+
+.documenter-example-output {
+  background-color: white; }
+
+.outdated-warning-overlay {
+  position: fixed;
+  top: 0;
+  left: 0;
+  right: 0;
+  box-shadow: 0 0 10px rgba(0, 0, 0, 0.3);
+  z-index: 999;
+  background-color: #ffaba7;
+  color: rgba(0, 0, 0, 0.7);
+  border-bottom: 3px solid #da0b00;
+  padding: 10px 35px;
+  text-align: center;
+  font-size: 15px; }
+  .outdated-warning-overlay .outdated-warning-closer {
+    position: absolute;
+    top: calc(50% - 10px);
+    right: 18px;
+    cursor: pointer;
+    width: 12px; }
+  .outdated-warning-overlay a {
+    color: #2e63b8; }
+    .outdated-warning-overlay a:hover {
+      color: #363636; }
+
+.content pre {
+  border: 1px solid #dbdbdb; }
+
+.content code {
+  font-weight: inherit; }
+
+.content a code {
+  color: #2e63b8; }
+
+.content h1 code, .content h2 code, .content h3 code, .content h4 code, .content h5 code, .content h6 code {
+  color: #222222; }
+
+.content table {
+  display: block;
+  width: initial;
+  max-width: 100%;
+  overflow-x: auto; }
+
+.content blockquote > ul:first-child, .content blockquote > ol:first-child, .content .admonition-body > ul:first-child, .content .admonition-body > ol:first-child {
+  margin-top: 0; }
+
+pre, code {
+  font-variant-ligatures: no-contextual; }
+
+.breadcrumb a.is-disabled {
+  cursor: default;
+  pointer-events: none; }
+  .breadcrumb a.is-disabled, .breadcrumb a.is-disabled:hover {
+    color: #222222; }
+
+.hljs {
+  background: initial !important; }
+
+.katex .katex-mathml {
+  top: 0;
+  right: 0; }
+
+.katex-display, mjx-container, .MathJax_Display {
+  margin: 0.5em 0 !important; }
+
+html {
+  -moz-osx-font-smoothing: auto;
+  -webkit-font-smoothing: auto; }
+
+li.no-marker {
+  list-style: none; }
+
+/* This file contain the overall layout.
+ *
+ * The main container is <div> that is identified by id #documenter.
+ */
+#documenter .docs-main > article {
+  overflow-wrap: break-word; }
+  #documenter .docs-main > article .math-container {
+    overflow-x: auto;
+    overflow-y: hidden; }
+
+@media screen and (min-width: 1056px) {
+  #documenter .docs-main {
+    max-width: 52rem;
+    margin-left: 20rem;
+    padding-right: 1rem; } }
+
+@media screen and (max-width: 1055px) {
+  #documenter .docs-main {
+    width: 100%; }
+    #documenter .docs-main > article {
+      max-width: 52rem;
+      margin-left: auto;
+      margin-right: auto;
+      margin-bottom: 1rem;
+      padding: 0 1rem; }
+    #documenter .docs-main > header, #documenter .docs-main > nav {
+      max-width: 100%;
+      width: 100%;
+      margin: 0; } }
+
+#documenter .docs-main header.docs-navbar {
+  background-color: white;
+  border-bottom: 1px solid #dbdbdb;
+  z-index: 2;
+  min-height: 4rem;
+  margin-bottom: 1rem;
+  display: flex; }
+  #documenter .docs-main header.docs-navbar .breadcrumb {
+    flex-grow: 1; }
+  #documenter .docs-main header.docs-navbar .docs-right {
+    display: flex;
+    white-space: nowrap; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-icon, #documenter .docs-main header.docs-navbar .docs-right .docs-label, #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+      display: inline-block; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-label {
+      padding: 0;
+      margin-left: 0.3em; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-settings-button {
+      margin: auto 0 auto 1rem; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+      font-size: 1.5rem;
+      margin: auto 0 auto 1rem; }
+  #documenter .docs-main header.docs-navbar > * {
+    margin: auto 0; }
+  @media screen and (max-width: 1055px) {
+    #documenter .docs-main header.docs-navbar {
+      position: sticky;
+      top: 0;
+      padding: 0 1rem;
+      /* For Headroom.js */
+      transition-property: top, box-shadow;
+      -webkit-transition-property: top, box-shadow;
+      /* Safari */
+      transition-duration: 0.3s;
+      -webkit-transition-duration: 0.3s;
+      /* Safari */ }
+      #documenter .docs-main header.docs-navbar.headroom--not-top {
+        box-shadow: 0.2rem 0rem 0.4rem #bbb;
+        transition-duration: 0.7s;
+        -webkit-transition-duration: 0.7s;
+        /* Safari */ }
+      #documenter .docs-main header.docs-navbar.headroom--unpinned.headroom--not-top.headroom--not-bottom {
+        top: -4.5rem;
+        transition-duration: 0.7s;
+        -webkit-transition-duration: 0.7s;
+        /* Safari */ } }
+#documenter .docs-main section.footnotes {
+  border-top: 1px solid #dbdbdb; }
+  #documenter .docs-main section.footnotes li .tag:first-child, #documenter .docs-main section.footnotes li .docstring > section > a.docs-sourcelink:first-child, #documenter .docs-main section.footnotes li .content kbd:first-child, .content #documenter .docs-main section.footnotes li kbd:first-child {
+    margin-right: 1em;
+    margin-bottom: 0.4em; }
+
+#documenter .docs-main .docs-footer {
+  display: flex;
+  flex-wrap: wrap;
+  margin-left: 0;
+  margin-right: 0;
+  border-top: 1px solid #dbdbdb;
+  padding-top: 1rem;
+  padding-bottom: 1rem; }
+  @media screen and (max-width: 1055px) {
+    #documenter .docs-main .docs-footer {
+      padding-left: 1rem;
+      padding-right: 1rem; } }
+  #documenter .docs-main .docs-footer .docs-footer-nextpage, #documenter .docs-main .docs-footer .docs-footer-prevpage {
+    flex-grow: 1; }
+  #documenter .docs-main .docs-footer .docs-footer-nextpage {
+    text-align: right; }
+  #documenter .docs-main .docs-footer .flexbox-break {
+    flex-basis: 100%;
+    height: 0; }
+  #documenter .docs-main .docs-footer .footer-message {
+    font-size: 0.8em;
+    margin: 0.5em auto 0 auto;
+    text-align: center; }
+
+#documenter .docs-sidebar {
+  display: flex;
+  flex-direction: column;
+  color: #0a0a0a;
+  background-color: whitesmoke;
+  border-right: 1px solid #dbdbdb;
+  padding: 0;
+  flex: 0 0 18rem;
+  z-index: 5;
+  font-size: 1rem;
+  position: fixed;
+  left: -18rem;
+  width: 18rem;
+  height: 100%;
+  transition: left 0.3s;
+  /* Setting up a nicer theme style for the scrollbar */ }
+  #documenter .docs-sidebar.visible {
+    left: 0;
+    box-shadow: 0.4rem 0rem 0.8rem #bbb; }
+    @media screen and (min-width: 1056px) {
+      #documenter .docs-sidebar.visible {
+        box-shadow: none; } }
+  @media screen and (min-width: 1056px) {
+    #documenter .docs-sidebar {
+      left: 0;
+      top: 0; } }
+  #documenter .docs-sidebar .docs-logo {
+    margin-top: 1rem;
+    padding: 0 1rem; }
+    #documenter .docs-sidebar .docs-logo > img {
+      max-height: 6rem;
+      margin: auto; }
+  #documenter .docs-sidebar .docs-package-name {
+    flex-shrink: 0;
+    font-size: 1.5rem;
+    font-weight: 700;
+    text-align: center;
+    white-space: nowrap;
+    overflow: hidden;
+    padding: 0.5rem 0; }
+    #documenter .docs-sidebar .docs-package-name .docs-autofit {
+      max-width: 16.2rem; }
+    #documenter .docs-sidebar .docs-package-name a, #documenter .docs-sidebar .docs-package-name a:hover {
+      color: #0a0a0a; }
+  #documenter .docs-sidebar .docs-version-selector {
+    border-top: 1px solid #dbdbdb;
+    display: none;
+    padding: 0.5rem; }
+    #documenter .docs-sidebar .docs-version-selector.visible {
+      display: flex; }
+  #documenter .docs-sidebar ul.docs-menu {
+    flex-grow: 1;
+    user-select: none;
+    border-top: 1px solid #dbdbdb;
+    padding-bottom: 1.5rem;
+    /* Managing collapsible submenus */ }
+    #documenter .docs-sidebar ul.docs-menu > li > .tocitem {
+      font-weight: bold; }
+    #documenter .docs-sidebar ul.docs-menu > li li {
+      font-size: 0.95rem;
+      margin-left: 1em;
+      border-left: 1px solid #dbdbdb; }
+    #documenter .docs-sidebar ul.docs-menu input.collapse-toggle {
+      display: none; }
+    #documenter .docs-sidebar ul.docs-menu ul.collapsed {
+      display: none; }
+    #documenter .docs-sidebar ul.docs-menu input:checked ~ ul.collapsed {
+      display: block; }
+    #documenter .docs-sidebar ul.docs-menu label.tocitem {
+      display: flex; }
+      #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-label {
+        flex-grow: 2; }
+      #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron {
+        display: inline-block;
+        font-style: normal;
+        font-variant: normal;
+        text-rendering: auto;
+        line-height: 1;
+        font-size: 0.75rem;
+        margin-left: 1rem;
+        margin-top: auto;
+        margin-bottom: auto; }
+        #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron::before {
+          font-family: "Font Awesome 5 Free";
+          font-weight: 900;
+          content: "\f054"; }
+    #documenter .docs-sidebar ul.docs-menu input:checked ~ label.tocitem .docs-chevron::before {
+      content: "\f078"; }
+    #documenter .docs-sidebar ul.docs-menu .tocitem {
+      display: block;
+      padding: 0.5rem 0.5rem; }
+      #documenter .docs-sidebar ul.docs-menu .tocitem, #documenter .docs-sidebar ul.docs-menu .tocitem:hover {
+        color: #0a0a0a;
+        background: whitesmoke; }
+    #documenter .docs-sidebar ul.docs-menu a.tocitem:hover, #documenter .docs-sidebar ul.docs-menu label.tocitem:hover {
+      color: #0a0a0a;
+      background-color: #ebebeb; }
+    #documenter .docs-sidebar ul.docs-menu li.is-active {
+      border-top: 1px solid #dbdbdb;
+      border-bottom: 1px solid #dbdbdb;
+      background-color: white; }
+      #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem, #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem:hover {
+        background-color: white;
+        color: #0a0a0a; }
+      #documenter .docs-sidebar ul.docs-menu li.is-active ul.internal .tocitem:hover {
+        background-color: #ebebeb;
+        color: #0a0a0a; }
+    #documenter .docs-sidebar ul.docs-menu > li.is-active:first-child {
+      border-top: none; }
+    #documenter .docs-sidebar ul.docs-menu ul.internal {
+      margin: 0 0.5rem 0.5rem;
+      border-top: 1px solid #dbdbdb; }
+      #documenter .docs-sidebar ul.docs-menu ul.internal li {
+        font-size: 0.85rem;
+        border-left: none;
+        margin-left: 0;
+        margin-top: 0.5rem; }
+      #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem {
+        width: 100%;
+        padding: 0; }
+        #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem::before {
+          content: "⚬";
+          margin-right: 0.4em; }
+  #documenter .docs-sidebar form.docs-search {
+    margin: auto;
+    margin-top: 0.5rem;
+    margin-bottom: 0.5rem; }
+    #documenter .docs-sidebar form.docs-search > input {
+      width: 14.4rem; }
+  @media screen and (min-width: 1056px) {
+    #documenter .docs-sidebar ul.docs-menu {
+      overflow-y: auto;
+      -webkit-overflow-scroll: touch; }
+      #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar {
+        width: .3rem;
+        background: none; }
+      #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb {
+        border-radius: 5px 0px 0px 5px;
+        background: #e0e0e0; }
+      #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb:hover {
+        background: #cccccc; } }
+  @media screen and (max-width: 1055px) {
+    #documenter .docs-sidebar {
+      overflow-y: auto;
+      -webkit-overflow-scroll: touch; }
+      #documenter .docs-sidebar::-webkit-scrollbar {
+        width: .3rem;
+        background: none; }
+      #documenter .docs-sidebar::-webkit-scrollbar-thumb {
+        border-radius: 5px 0px 0px 5px;
+        background: #e0e0e0; }
+      #documenter .docs-sidebar::-webkit-scrollbar-thumb:hover {
+        background: #cccccc; } }
+#documenter .docs-main #documenter-search-info {
+  margin-bottom: 1rem; }
+
+#documenter .docs-main #documenter-search-results {
+  list-style-type: circle;
+  list-style-position: outside; }
+  #documenter .docs-main #documenter-search-results li {
+    margin-left: 2rem; }
+  #documenter .docs-main #documenter-search-results .docs-highlight {
+    background-color: yellow; }
+
+.ansi span.sgr1 {
+  font-weight: bolder; }
+
+.ansi span.sgr2 {
+  font-weight: lighter; }
+
+.ansi span.sgr3 {
+  font-style: italic; }
+
+.ansi span.sgr4 {
+  text-decoration: underline; }
+
+.ansi span.sgr7 {
+  color: white;
+  background-color: #222222; }
+
+.ansi span.sgr8 {
+  color: transparent; }
+  .ansi span.sgr8 span {
+    color: transparent; }
+
+.ansi span.sgr9 {
+  text-decoration: line-through; }
+
+.ansi span.sgr30 {
+  color: #242424; }
+
+.ansi span.sgr31 {
+  color: #a7201f; }
+
+.ansi span.sgr32 {
+  color: #066f00; }
+
+.ansi span.sgr33 {
+  color: #856b00; }
+
+.ansi span.sgr34 {
+  color: #2149b0; }
+
+.ansi span.sgr35 {
+  color: #7d4498; }
+
+.ansi span.sgr36 {
+  color: #007989; }
+
+.ansi span.sgr37 {
+  color: gray; }
+
+.ansi span.sgr40 {
+  background-color: #242424; }
+
+.ansi span.sgr41 {
+  background-color: #a7201f; }
+
+.ansi span.sgr42 {
+  background-color: #066f00; }
+
+.ansi span.sgr43 {
+  background-color: #856b00; }
+
+.ansi span.sgr44 {
+  background-color: #2149b0; }
+
+.ansi span.sgr45 {
+  background-color: #7d4498; }
+
+.ansi span.sgr46 {
+  background-color: #007989; }
+
+.ansi span.sgr47 {
+  background-color: gray; }
+
+.ansi span.sgr90 {
+  color: #616161; }
+
+.ansi span.sgr91 {
+  color: #cb3c33; }
+
+.ansi span.sgr92 {
+  color: #0e8300; }
+
+.ansi span.sgr93 {
+  color: #a98800; }
+
+.ansi span.sgr94 {
+  color: #3c5dcd; }
+
+.ansi span.sgr95 {
+  color: #9256af; }
+
+.ansi span.sgr96 {
+  color: #008fa3; }
+
+.ansi span.sgr97 {
+  color: whitesmoke; }
+
+.ansi span.sgr100 {
+  background-color: #616161; }
+
+.ansi span.sgr101 {
+  background-color: #cb3c33; }
+
+.ansi span.sgr102 {
+  background-color: #0e8300; }
+
+.ansi span.sgr103 {
+  background-color: #a98800; }
+
+.ansi span.sgr104 {
+  background-color: #3c5dcd; }
+
+.ansi span.sgr105 {
+  background-color: #9256af; }
+
+.ansi span.sgr106 {
+  background-color: #008fa3; }
+
+.ansi span.sgr107 {
+  background-color: whitesmoke; }
+
+code.language-julia-repl > span.hljs-meta {
+  color: #066f00;
+  font-weight: bolder; }
+
+/*!
+  Theme: Default
+  Description: Original highlight.js style
+  Author: (c) Ivan Sagalaev <maniac@softwaremaniacs.org>
+  Maintainer: @highlightjs/core-team
+  Website: https://highlightjs.org/
+  License: see project LICENSE
+  Touched: 2021
+*/
+/*
+This is left on purpose making default.css the single file that can be lifted
+as-is from the repository directly without the need for a build step
+
+Typically this "required" baseline CSS is added by `makestuff.js` during build.
+*/
+pre code.hljs {
+  display: block;
+  overflow-x: auto; }
+
+code.hljs {
+  padding: 3px 5px; }
+
+/* end baseline CSS */
+.hljs {
+  background: #F0F0F0;
+  color: #444; }
+
+/* Base color: saturation 0; */
+.hljs-subst {
+  /* default */ }
+
+/* purposely ignored */
+.hljs-comment {
+  color: #888888; }
+
+.hljs-tag,
+.hljs-punctuation {
+  color: #444a; }
+
+.hljs-tag .hljs-name,
+.hljs-tag .hljs-attr {
+  color: #444; }
+
+.hljs-keyword,
+.hljs-attribute,
+.hljs-selector-tag,
+.hljs-meta .hljs-keyword,
+.hljs-doctag,
+.hljs-name {
+  font-weight: bold; }
+
+/* User color: hue: 0 */
+.hljs-type,
+.hljs-string,
+.hljs-number,
+.hljs-selector-id,
+.hljs-selector-class,
+.hljs-quote,
+.hljs-template-tag,
+.hljs-deletion {
+  color: #880000; }
+
+.hljs-title,
+.hljs-section {
+  color: #880000;
+  font-weight: bold; }
+
+.hljs-regexp,
+.hljs-symbol,
+.hljs-variable,
+.hljs-template-variable,
+.hljs-link,
+.hljs-selector-attr,
+.hljs-operator,
+.hljs-selector-pseudo {
+  color: #BC6060; }
+
+/* Language color: hue: 90; */
+.hljs-literal {
+  color: #78A960; }
+
+.hljs-built_in,
+.hljs-bullet,
+.hljs-code,
+.hljs-addition {
+  color: #397300; }
+
+/* Meta color: hue: 200 */
+.hljs-meta {
+  color: #1f7199; }
+
+.hljs-meta .hljs-string {
+  color: #4d99bf; }
+
+/* Misc effects */
+.hljs-emphasis {
+  font-style: italic; }
+
+.hljs-strong {
+  font-weight: bold; }
diff --git a/v0.3.7/assets/themeswap.js b/v0.3.7/assets/themeswap.js
new file mode 100644
index 000000000..c58e993e3
--- /dev/null
+++ b/v0.3.7/assets/themeswap.js
@@ -0,0 +1,66 @@
+// Small function to quickly swap out themes. Gets put into the <head> tag..
+function set_theme_from_local_storage() {
+  // Intialize the theme to null, which means default
+  var theme = null;
+  // If the browser supports the localstorage and is not disabled then try to get the
+  // documenter theme
+  if(window.localStorage != null) {
+    // Get the user-picked theme from localStorage. May be `null`, which means the default
+    // theme.
+    theme =  window.localStorage.getItem("documenter-theme");
+  }
+  // Check if the browser supports user color preference
+  var darkPreference = false;
+  // Check if the users preference is for dark color scheme
+  if(window.matchMedia('(prefers-color-scheme: dark)').matches === true) {
+    darkPreference = true;
+  }
+  // Initialize a few variables for the loop:
+  //
+  //  - active: will contain the index of the theme that should be active. Note that there
+  //    is no guarantee that localStorage contains sane values. If `active` stays `null`
+  //    we either could not find the theme or it is the default (primary) theme anyway.
+  //    Either way, we then need to stick to the primary theme.
+  //
+  //  - disabled: style sheets that should be disabled (i.e. all the theme style sheets
+  //    that are not the currently active theme)
+  var active = null; var disabled = []; var darkTheme = null;
+  for (var i = 0; i < document.styleSheets.length; i++) {
+    var ss = document.styleSheets[i];
+    // The <link> tag of each style sheet is expected to have a data-theme-name attribute
+    // which must contain the name of the theme. The names in localStorage much match this.
+    var themename = ss.ownerNode.getAttribute("data-theme-name");
+    // attribute not set => non-theme stylesheet => ignore
+    if(themename === null) continue;
+    // To distinguish the default (primary) theme, it needs to have the data-theme-primary
+    // attribute set.
+    var isprimary = (ss.ownerNode.getAttribute("data-theme-primary") !== null);
+    // Check if the theme is primary dark theme
+    var isDarkTheme = (ss.ownerNode.getAttribute("data-theme-primary-dark") !== null);
+    // If ss is for dark theme then set the value of darkTheme to the name of the theme
+    if(isDarkTheme) darkTheme = themename;
+    // If we find a matching theme (and it's not the default), we'll set active to non-null
+    if(themename === theme) active = i;
+    // Store the style sheets of inactive themes so that we could disable them
+    if(themename !== theme) disabled.push(ss);
+  }
+  if(active !== null) {
+    // If we did find an active theme, we'll (1) add the theme--$(theme) class to <html>
+    document.getElementsByTagName('html')[0].className = "theme--" + theme;
+    // and (2) disable all the other theme stylesheets
+    disabled.forEach(function(ss){
+      ss.disabled = true;
+    });
+  }
+  else if(darkTheme !== null && darkPreference === true) {
+    // If we did find an active theme, we'll (1) add the theme--$(theme) class to <html>
+    document.getElementsByTagName('html')[0].className = "theme--" + darkTheme;
+    // and (2) disable all the other theme stylesheets
+    disabled.forEach(function(ss){
+      if (ss.ownerNode.getAttribute("data-theme-name") !== darkTheme) {
+        ss.disabled = true;
+      }
+    });
+  }
+}
+set_theme_from_local_storage();
diff --git a/v0.3.7/assets/warner.js b/v0.3.7/assets/warner.js
new file mode 100644
index 000000000..5531c8851
--- /dev/null
+++ b/v0.3.7/assets/warner.js
@@ -0,0 +1,49 @@
+function maybeAddWarning () {
+    // DOCUMENTER_NEWEST is defined in versions.js, DOCUMENTER_CURRENT_VERSION and DOCUMENTER_STABLE
+    // in siteinfo.js.
+    // If either of these are undefined something went horribly wrong, so we abort.
+    if (
+            window.DOCUMENTER_NEWEST === undefined ||
+            window.DOCUMENTER_CURRENT_VERSION === undefined ||
+            window.DOCUMENTER_STABLE === undefined
+       ) {
+        return
+    };
+
+    // Current version is not a version number, so we can't tell if it's the newest version. Abort.
+    if (!/v(\d+\.)*\d+/.test(window.DOCUMENTER_CURRENT_VERSION)) {
+        return
+    };
+
+    // Current version is newest version, so no need to add a warning.
+    if (window.DOCUMENTER_NEWEST === window.DOCUMENTER_CURRENT_VERSION) {
+        return
+    };
+
+    // Add a noindex meta tag (unless one exists) so that search engines don't index this version of the docs.
+    if (document.body.querySelector('meta[name="robots"]') === null) {
+        const meta = document.createElement('meta');
+        meta.name = 'robots';
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diff --git a/v0.3.7/index.html b/v0.3.7/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Home · GeoParams.jl</title><script data-outdated-warner src="assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="assets/documenter.js"></script><script src="siteinfo.js"></script><script src="../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href>GeoParams.jl</a></span></div><form class="docs-search" action="search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li class="is-active"><a class="tocitem" href>Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="man/geounit/">GeoUnit</a></li><li><a class="tocitem" href="man/nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="man/materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="man/density/">Density</a></li><li><a class="tocitem" href="man/creeplaws/">Creep laws</a></li><li><a class="tocitem" href="man/elasticity/">Elasticity</a></li><li><a class="tocitem" href="man/plasticity/">Plasticity</a></li><li><a class="tocitem" href="man/heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="man/conductivity/">Conductivity</a></li><li><a class="tocitem" href="man/latentheat/">Latent heat</a></li><li><a class="tocitem" href="man/radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="man/shearheating/">Shear heating</a></li><li><a class="tocitem" href="man/gravity/">Gravity</a></li><li><a class="tocitem" href="man/melting/">Partial Melting</a></li><li><a class="tocitem" href="man/TASclassification/">TAS classification</a></li><li><a class="tocitem" href="man/zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="man/phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="man/seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="man/plotting/">Plotting</a></li><li><a class="tocitem" href="man/listfunctions/">List of functions</a></li><li><a class="tocitem" href="man/contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Home</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Home</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/index.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="GeoParams.jl"><a class="docs-heading-anchor" href="#GeoParams.jl">GeoParams.jl</a><a id="GeoParams.jl-1"></a><a class="docs-heading-anchor-permalink" href="#GeoParams.jl" title="Permalink"></a></h1><p>Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:</p><ul><li>Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).</li><li>Material parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. </li></ul><p>We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="man/geounit/">GeoUnit »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.17 on <span class="colophon-date" title="Friday 20 May 2022 16:06">Friday 20 May 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.7/man/TASclassification/index.html b/v0.3.7/man/TASclassification/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>TAS classification · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li class="is-active"><a class="tocitem" href>TAS classification</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routine"><span>Computational routine</span></a></li></ul></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>TAS classification</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>TAS classification</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/TASclassification.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="TAS-rock-classification"><a class="docs-heading-anchor" href="#TAS-rock-classification">TAS rock classification</a><a id="TAS-rock-classification-1"></a><a class="docs-heading-anchor-permalink" href="#TAS-rock-classification" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>When doing coupled petrological-geodynamic modelling, the evolution of the composition of the magma is more easily understood when a rock type is given. This routine is an implementation of the TAS diagram (Total Alkali (TA) vs Silica (S)) from Le Maitre et al., 2002.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.TASclassificationData" href="#GeoParams.TASclassification.TASclassificationData"><code>GeoParams.TASclassification.TASclassificationData</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">TASclassificationData
+
+Struct that holds default parameters for the TAS diagram</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/RockClassification/TASclassification.jl#L50-L54">source</a></section></article><h1 id="Computational-routine"><a class="docs-heading-anchor" href="#Computational-routine">Computational routine</a><a id="Computational-routine-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routine" title="Permalink"></a></h1><p>There is one routine with which you can retrieve the index of the TAS rock-type. The routine receives as an input a compositional vector [SiO2,Na2O+K2O] in wt% and sends back an index [1-15].</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.computeTASclassification" href="#GeoParams.TASclassification.computeTASclassification"><code>GeoParams.TASclassification.computeTASclassification</code></a> — <span class="docstring-category">Function</span></header><section><div><p>classIndex computeTASclassification(chemComp::AbstractArray{_T,N}, ClassTASdata::TASclassificationData)</p><p>This compute the classification of the igneous rock using TAS diagram (Total Alkali (TA) vs Silica (S)).</p><p><strong>Input:</strong></p><ul><li><code>chemComp</code> : vector rock composition in oxide wt%</li></ul><p>Output:</p><ul><li><code>classIndex</code> : an integer [0-14] corresponding to a TAS field (TASclassificationData.litho[classIndex])</li></ul><p>This routine was developed based the TAS classification of Le Maitre et al., 2002</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/RockClassification/TASclassification.jl#L104-L118">source</a></section></article><p>Using the index of the rock-type you can get the name of the corresponding volcanic rock using the following routine.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.retrieveTASrockType" href="#GeoParams.TASclassification.retrieveTASrockType"><code>GeoParams.TASclassification.retrieveTASrockType</code></a> — <span class="docstring-category">Function</span></header><section><div><p>retrieveTASrockType(index::Int64; ClassTASdata::TASclassificationData = TASclassificationData())</p><p>This retrieves the name of the volcanic rock-type using the computed index</p><p><strong>Input:</strong></p><ul><li><code>index</code> : integer [1-15]</li></ul><p>Output:</p><ul><li><code>litho</code> : a string of the name of corresponding volcanic rock</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/RockClassification/TASclassification.jl#L85-L97">source</a></section></article><p>We also provide a plotting routine, provided the <code>Plots</code> package is loaded, which produces figures such as: <img src="../assets/img/TAS_diagram.png" alt="subet3"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../melting/">« Partial Melting</a><a class="docs-footer-nextpage" href="../zirconages/">Zircon Ages »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.17 on <span class="colophon-date" title="Friday 20 May 2022 16:06">Friday 20 May 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Conductivity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" 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class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Conductivity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Conductivity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/conductivity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Conductivity"><a class="docs-heading-anchor" href="#Conductivity">Conductivity</a><a id="Conductivity-1"></a><a class="docs-heading-anchor-permalink" href="#Conductivity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Thermal conductivity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.ConstantConductivity" href="#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantConductivity(k=3.0W/m/K)</code></pre><p>Set a constant conductivity</p><p class="math-container">\[    k  = cst\]</p><p>where <span>$k$</span> is the thermal conductivity [<span>$W/m/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Energy/Conductivity.jl#L29-L37">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington" href="#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Conductivity_Whittington()</code></pre><p>Sets a temperature-dependent conductivity following the parameterization of <em>Whittington, A.G., Hofmeister, A.M., Nabelek, P.I., 2009. Temperature-dependent thermal diffusivity of the Earth’s crust and implications for magmatism. Nature 458, 319–321. https://doi.org/10.1038/nature07818.</em>  Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us to compute </p><p class="math-container">\[    Cp = a + b T - c/T^2 \]</p><p class="math-container">\[    \kappa = d/T - e \textrm{ if } T&lt;=846K\]</p><p class="math-container">\[    \kappa = f - g*T \textrm{ if } T&gt;846K\]</p><p class="math-container">\[    \rho = 2700 kg/m^3\]</p><p class="math-container">\[    k = \kappa \rho Cp\]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/mol/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <code>T</code>:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>d = 576.3m^2/s*K      </li><li>e = 0.062m^2/s        </li><li>f = 0.732m^2/s        </li><li>g = 0.000135m^2/s/K </li></ul><p>This looks like:</p><p><img src="../assets/img/Conductivity_Whittington.png" alt="subet1"/></p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; using GeoParams, Plots
+julia&gt; p=T_Conductivity_Whittington();
+julia&gt; T,k,plt = PlotConductivity(p)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Energy/Conductivity.jl#L89-L135">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised" href="#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Conductivity_Whittington_parameterised()</code></pre><p>Sets a temperature-dependent conductivity that is  parameterization after <em>Whittington, et al.  2009</em> </p><p>The original parameterization involves quite a few parameters; this is a polynomial fit that is roughly valid from 0-1000Celcius</p><p class="math-container">\[    k [W/m/K] = -2 10^{-9} (T-Ts)^3 + 6 10^{-6} (T-Ts)^2 - 0.0062 (T-Ts) + 4\]</p><p class="math-container">\[    Ts = 273.15 K\]</p><p>where <code>T[K]</code> is the temperature in Kelvin (or the nondimensional equivalent of it).</p><p>The comparison of this parameterisation vs. the original one is: <img src="../assets/img/Conductivity_Whittington_smooth.png" alt="subet1"/></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Energy/Conductivity.jl#L235-L253">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">TP_Conductivity()</code></pre><p>Sets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for  </p><p class="math-container">\[    k = \left( a_k +  {b_k \over {T + c_k}} \right) (1 + d_k P) \]</p><p>where <span>$k$</span> is the conductivity [<span>$W/K/m$</span>], and <span>$a_k,b_k,c_k,d_k$</span> are parameters that dependent on the temperature <code>T</code> and pressure <code>P</code>:</p><ul><li><span>$a_k$</span> = 1.18Watt/K/m    </li><li><span>$b_k$</span> = 474Watt/m </li><li><span>$c_k$</span> = 77K       </li><li><span>$d_k$</span> = 0/MPa       </li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Energy/Conductivity.jl#L329-L344">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">Set_TP_Conductivity[&quot;Name of temperature(-pressure) dependent conductivity&quot;]</code></pre><p>This is a dictionary with pre-defined laws:</p><ul><li>&quot;UpperCrust&quot;    </li><li>&quot;LowerCrust&quot;</li><li>&quot;OceanicCrust&quot;</li><li>&quot;Mantle&quot;</li></ul><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; k=Set_TP_Conductivity[&quot;Mantle&quot;]
+T/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)  </code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Energy/Conductivity.jl#L363-L378">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">k = compute_conductivity(P, T, s:&lt;AbstractConductivity)</code></pre><p>Returns the thermal conductivity <code>k</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the parameterizations implemented.</p><p>Currently available:</p><ul><li>ConstantConductivity</li><li>T_Conductivity_Whittington</li><li>TP_Conductivity</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia hljs">julia&gt; T  = (250:100:1250)*K;
+julia&gt; cp = T_HeatCapacity_Whittington()
+julia&gt; Cp = ComputeHeatCapacity(0,T,cp)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Energy/Conductivity.jl#L488-L507">source</a></section><section><div><pre><code class="nohighlight hljs">compute_conductivity!(K::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},Temp::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of conductivity <code>K</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>Temp</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p>_________________________________________________________________________________________________________</p><p>compute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</p><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Energy/Conductivity.jl#L530-L542">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity!" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_conductivity!(k_array::AbstractArray{&lt;:AbstractFloat,N},P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, s::T_Conductivity_Whittington) where N</code></pre><p>In-place routine to compute temperature-dependent conductivity    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Energy/Conductivity.jl#L204-L208">source</a></section><section><div><pre><code class="nohighlight hljs">compute_conductivity!(k::AbstractArray{_T,N}, s::T_Conductivity_Whittington_parameterised{_T}, P::AbstractArray{_T,N}, T::AbstractArray{_T,N})</code></pre><p>In-place routine to compute temperature-dependent conductivity    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Energy/Conductivity.jl#L302-L306">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../heatcapacity/">« Heat Capacity</a><a class="docs-footer-nextpage" href="../latentheat/">Latent heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.17 on <span class="colophon-date" title="Friday 20 May 2022 16:06">Friday 20 May 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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title="Permalink"></a></h1><p>This page details the some of the guidelines that should be followed when contributing to this package.</p><p>You can contribute for example by adding new creep laws or by adding new constitutive relationships. If you invest a bit of time now, it will save others in the community a lot of time! The simplest way to do this is by cloning the repository, and creating a new branch for your feature. Once you are happy with what you added (and after you added a test to ensure that it will keep working with future changes), create a pull request and we will evaluate &amp; merge it.</p><h2 id="Style-Guide"><a class="docs-heading-anchor" href="#Style-Guide">Style Guide</a><a id="Style-Guide-1"></a><a class="docs-heading-anchor-permalink" href="#Style-Guide" title="Permalink"></a></h2><p>Follow the style of the surrounding text when making changes. When adding new features please try to stick to the following points whenever applicable.</p><h3 id="Julia"><a class="docs-heading-anchor" href="#Julia">Julia</a><a id="Julia-1"></a><a class="docs-heading-anchor-permalink" href="#Julia" title="Permalink"></a></h3><ul><li>4-space indentation;</li><li>modules spanning entire files should not be indented, but modules that have surrounding code should;</li><li>no blank lines at the start or end of files;</li><li>do not manually align syntax such as <code>=</code> or <code>::</code> over adjacent lines;</li><li>use <code>function ... end</code> when a method definition contains more than one toplevel expression;</li><li>related short-form method definitions don&#39;t need a new line between them;</li><li>unrelated or long-form method definitions must have a blank line separating each one;</li><li>surround all binary operators with whitespace except for <code>::</code>, <code>^</code>, and <code>:</code>;</li><li>files containing a single <code>module ... end</code> must be named after the module;</li><li>method arguments should be ordered based on the amount of usage within the method body;</li><li>methods extended from other modules must follow their inherited argument order, not the above rule;</li><li>explicit <code>return</code> should be preferred except in short-form method definitions;</li><li>avoid dense expressions where possible e.g. prefer nested <code>if</code>s over complex nested <code>?</code>s;</li><li>include a trailing <code>,</code> in vectors, tuples, or method calls that span several lines;</li><li>do not use multiline comments (<code>#=</code> and <code>=#</code>);</li><li>wrap long lines as near to 92 characters as possible, this includes docstrings;</li><li>follow the standard naming conventions used in <code>Base</code>.</li></ul><h3 id="Markdown"><a class="docs-heading-anchor" href="#Markdown">Markdown</a><a id="Markdown-1"></a><a class="docs-heading-anchor-permalink" href="#Markdown" title="Permalink"></a></h3><ul><li>Use unbalanced <code>#</code> headers, i.e. no <code>#</code> on the right hand side of the header text;</li><li>include a single blank line between toplevel blocks;</li><li>unordered lists must use <code>*</code> bullets with two preceding spaces;</li><li>do <em>not</em> hard wrap lines;</li><li>use emphasis (<code>*</code>) and bold (<code>**</code>) sparingly;</li><li>always use fenced code blocks instead of indented blocks;</li><li>follow the conventions outlined in the Julia documentation page on documentation.</li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../listfunctions/">« List of functions</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.17 on <span class="colophon-date" title="Friday 20 May 2022 16:06">Friday 20 May 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.7/man/creeplaws/index.html b/v0.3.7/man/creeplaws/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Creep laws · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li class="is-active"><a class="tocitem" href>Creep laws</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Implemented-creep-laws"><span>Implemented creep laws</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-for-creep-laws"><span>Computational routines for creep laws</span></a></li></ul></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Creep laws</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Creep laws</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/creeplaws.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="CreepLaws"><a class="docs-heading-anchor" href="#CreepLaws">CreepLaws</a><a id="CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#CreepLaws" title="Permalink"></a></h1><h1 id="Implemented-creep-laws"><a class="docs-heading-anchor" href="#Implemented-creep-laws">Implemented creep laws</a><a id="Implemented-creep-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-creep-laws" title="Permalink"></a></h1><p>The following viscous creep laws are implemented:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.CreepLaw.LinearViscous" href="#GeoParams.MaterialParameters.CreepLaw.LinearViscous"><code>GeoParams.MaterialParameters.CreepLaw.LinearViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">LinearViscous(η=1e20Pa*s)</code></pre><p>Defines a linear viscous creeplaw </p><p>The (isotopic) linear viscous rheology is given by  </p><p class="math-container">\[    \tau_{ij} = 2 \eta \dot{\varepsilon}_{ij} \]</p><p>or</p><p class="math-container">\[    \dot{\varepsilon}_{ij}  = {\tau_{ij}  \over 2 \eta }\]</p><p>where <span>$\eta_0$</span> is the reference viscosity [Pa*s] at reference strain rate <span>$\dot{\varepsilon}_0$</span>[1/s], and <span>$n$</span> the power law exponent []. </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/CreepLaw/CreepLaw.jl#L54-L69">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.CreepLaw.PowerlawViscous" href="#GeoParams.MaterialParameters.CreepLaw.PowerlawViscous"><code>GeoParams.MaterialParameters.CreepLaw.PowerlawViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)</code></pre><p>Defines a power law viscous creeplaw as: </p><p class="math-container">\[    \tau_{ij}^n  = 2 \eta_0 \left( \dot{\varepsilon}_{ij} \over \dot{\varepsilon}_0 \right)\]</p><p>where <span>$\eta$</span> is the effective viscosity [Pa*s].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/CreepLaw/CreepLaw.jl#L111-L120">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.CreepLaw.DislocationCreep" href="#GeoParams.MaterialParameters.CreepLaw.DislocationCreep"><code>GeoParams.MaterialParameters.CreepLaw.DislocationCreep</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DislocationCreep(n = 1.0NoUnits, r = 0.00.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )</code></pre><p>Defines the flow law parameter of a dislocation creep law  The (isotropic) dislocation creep law, as used by experimtalists, is given by  </p><p class="math-container">\[     \dot{\gamma} = A \sigma_\mathrm{d}^n f_\mathrm{H2O}^r \exp(-\frac{E+PV}{RT})\]</p><p>where <span>$n$</span> is the power law exponent,   <span>$r$</span> is the exponent of fugacity dependence,  <span>$A$</span> is a pre-exponential factor <a href="man/if manually defined, n and r must be either pre-defined or substituted">MPa^(n+r)</a>,   <span>$E$</span> is the activation energy [kJ/mol], <span>$V$</span> is the activation volume [m^3/mol]. <span>$\dot{\gamma}$</span> is the ordinary strain rate [1/s],  and <span>$\sigma_\mathrm{d}$</span> is the differential stress which are converted into second invariants using the apparatus type that can be either AxialCompression, SimpleShear or Invariant. If the flow law paramters are already given as a function of second invariants, choose apparatus = &quot;Invariant&quot;</p><pre><code class="language-julia-repl hljs">julia&gt; x2      =   DislocationCreep(n=3)
+DislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/CreepLaw/DislocationCreep.jl#L22-L41">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.CreepLaw.SetDislocationCreep" href="#GeoParams.MaterialParameters.CreepLaw.SetDislocationCreep"><code>GeoParams.MaterialParameters.CreepLaw.SetDislocationCreep</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetDislocationCreep[&quot;Name of Dislocation Creep&quot;]</code></pre><p>This is a dictionary with pre-defined creep laws    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/CreepLaw/DislocationCreep.jl#L119-L122">source</a></section></article><h1 id="Computational-routines-for-creep-laws"><a class="docs-heading-anchor" href="#Computational-routines-for-creep-laws">Computational routines for creep laws</a><a id="Computational-routines-for-creep-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines-for-creep-laws" title="Permalink"></a></h1><p>Once a creep rheology is defined, we can use the following routines to perform computations within the solvers</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>CreepLawVariables</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII" href="#GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII"><code>GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">computeCreepLaw_EpsII(TauII, s:&lt;AbstractCreepLaw, p::CreepLawVariables)</code></pre><p>Returns the strainrate invariant <span>$\dot{\varepsilon}_{II}$</span> for a given deviatoric stress  invariant <span>$\tau_{II}$</span> for any of the viscous creep laws implemented. <span>$p$</span> is a struct that can hold various parameters (such as <span>$P$</span>, <span>$T$</span>) that the creep law may need for the calculations </p><p class="math-container">\[    \dot{\varepsilon}_{II}   = f( \tau_{II} ) \]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/CreepLaw/CreepLaw.jl#L148-L160">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII" href="#GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII"><code>GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">computeCreepLaw_TauII(EpsII, s:&lt;AbstractCreepLaw, p::CreepLawVariables)</code></pre><p>Returns the deviatoric stress invariant <span>$\tau_{II}$</span> for a given strain rate   invariant <span>$\dot{\varepsilon}_{II}$</span> for any of the viscous creep laws implemented. <span>$p$</span> is a struct that can hold various parameters (such as <span>$P$</span>, <span>$T$</span>) that the creep law may need for the calculations </p><p class="math-container">\[    \tau_{II}  = f( \dot{\varepsilon}_{II} ) \]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/CreepLaw/CreepLaw.jl#L163-L175">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../density/">« Density</a><a class="docs-footer-nextpage" href="../elasticity/">Elasticity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.17 on <span class="colophon-date" title="Friday 20 May 2022 16:06">Friday 20 May 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.7/man/density/index.html b/v0.3.7/man/density/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Density · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li class="is-active"><a class="tocitem" href>Density</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Density</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Density</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/density.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Density"><a class="docs-heading-anchor" href="#Density">Density</a><a id="Density-1"></a><a class="docs-heading-anchor-permalink" href="#Density" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>The density equation of state can be specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.ConstantDensity" href="#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantDensity(ρ=2900kg/m^3)</code></pre><p>Set a constant density:</p><p class="math-container">\[    \rho  = cst\]</p><p>where <span>$\rho$</span> is the density [<span>$kg/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Density/Density.jl#L33-L41">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.PT_Density" href="#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)</code></pre><p>Set a pressure and temperature-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 (1.0 - \alpha (T-T_0) + \beta  (P-P_0) )  \]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference temperature <span>$T_0$</span> and pressure <span>$P_0$</span>, <span>$\alpha$</span> is the temperature dependence of density and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Density/Density.jl#L74-L83">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.Compressible_Density" href="#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)</code></pre><p>Set a pressure-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 \exp(β*(P - P\_0))  \]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference pressure <span>$P_0$</span> and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Density/Density.jl#L137-L145">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To evaluate density within a user routine, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density" href="#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_density(P,T, s::PhaseDiagram_LookupTable)</code></pre><p>Interpolates density as a function of <code>T,P</code> from a lookup table  </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Density/Density.jl#L210-L213">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density!" href="#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_density!(rho::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, s::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of density as a function of <code>T,P</code>, in case we are using a lookup table.    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Density/Density.jl#L220-L223">source</a></section><section><div><pre><code class="nohighlight hljs">compute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I&lt;:Integer}</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; MatParam = (SetMaterialParams(Name=&quot;Mantle&quot;, Phase=1,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                        Density   = PT_Density()
+                        ),
+                    SetMaterialParams(Name=&quot;Crust&quot;, Phase=2,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),
+                        Density   = ConstantDensity(ρ=2900kg/m^3))
+                  );
+julia&gt; Phases = ones(Int64,400,400);
+julia&gt; Phases[:,20:end] .= 2
+julia&gt; rho     = zeros(size(Phases))
+julia&gt; T       =  ones(size(Phases))
+julia&gt; P       =  ones(size(Phases))*10
+julia&gt; compute_density!(rho, MatParam, Phases, P, T)
+julia&gt; rho
+400×400 Matrix{Float64}:
+2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮                            
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0</code></pre><p>The routine is made to minimize allocations:</p><pre><code class="language-julia hljs">julia&gt; using BenchmarkTools
+julia&gt; @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)
+    203.468 μs (0 allocations: 0 bytes)</code></pre><p>_____________________________________________________________________________________________________________________________   </p><pre><code class="nohighlight hljs">compute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Density/Density.jl#L245-L309">source</a></section></article><p>Note that density values are usually not used in itself in the governing PDE&#39;s, but usually in combination with other parameters, such as <span>$\rho g$</span> or <span>$\rho c_p$</span>. the non-dimensional value of <span>$\rho$</span> may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../materialparameters/">« Material Parameters</a><a class="docs-footer-nextpage" href="../creeplaws/">Creep laws »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.17 on <span class="colophon-date" title="Friday 20 May 2022 16:06">Friday 20 May 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.7/man/elasticity/index.html b/v0.3.7/man/elasticity/index.html
new file mode 100644
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--- /dev/null
+++ b/v0.3.7/man/elasticity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Elasticity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" 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class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li class="is-active"><a class="tocitem" href>Elasticity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Implemented-laws"><span>Implemented laws</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" 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is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Elasticity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Elasticity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/elasticity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Elasticity"><a class="docs-heading-anchor" href="#Elasticity">Elasticity</a><a id="Elasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Elasticity" title="Permalink"></a></h1><p>Elasticity is, in geodynamics, often used in combination with viscous and plastic rheology.</p><h1 id="Implemented-laws"><a class="docs-heading-anchor" href="#Implemented-laws">Implemented laws</a><a id="Implemented-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-laws" title="Permalink"></a></h1><p>We provide the following elastic constitutive relationships:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Elasticity.ConstantElasticity" href="#GeoParams.MaterialParameters.Elasticity.ConstantElasticity"><code>GeoParams.MaterialParameters.Elasticity.ConstantElasticity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantElasticity(G, ν, K, E)</code></pre><p>Structure that holds parameters for constant, isotropic, linear elasticity.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Elasticity/Elasticity.jl#L24-L28">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>We can compute the elastic strainrate with:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate" href="#GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate"><code>GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_elastic_shear_strainrate(s::ConstantElasticity{_T}; τII, τII_old, dt)</code></pre><p>Computes elastic strainrate given the deviatoric stress at the current (<code>τII</code>) and old timestep (<code>τII_old</code>), for a timestep <code>dt</code>:</p><p class="math-container">\[    \dot{\varepsilon}^{el} = {1 \over 2 G} {D \tau_{II} \over Dt } ≈ {1 \over 2 G} {\tau_{II}- \tilde{\tau}_{II}^{old} \over dt }\]</p><p>Note that we here solve the scalar equation, which is sufficient for isotropic cases. In tensor form, it would be</p><p class="math-container">\[    {\dot{\varepsilon}^{el}}_{ij} = {1 \over 2 G} { \tau_{ij} - \tilde{{\tau_{ij}}}^{old} \over dt }\]</p><p>here <span>$\tilde{{\tau_{ij}}}^{old}$</span> is the rotated old deviatoric stress tensor to ensure objectivity (this can be done with Jaumann derivative, or also by using the full rotational formula).</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Elasticity/Elasticity.jl#L51-L65">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate!" href="#GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate!"><code>GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_elastic_shear_strainrate!(ε_el::AbstractArray{_T,N}, s::ConstantElasticity{_T}; τII::AbstractArray{_T,N}, τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)</code></pre><p>In-place computation of the elastic shear strainrate for given deviatoric stress invariants at the previous (<code>τII_old</code>) and new (<code>τII</code>) timestep, as well as the timestep <code>dt</code>  </p><p class="math-container">\[    \dot{\varepsilon}^{el} = {1 \over 2 G} {D \tau_{II} \over Dt } ≈ {1 \over 2 G} {\tau_{II}- \tau_{II}^{old} \over dt }\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Elasticity/Elasticity.jl#L68-L77">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../creeplaws/">« Creep laws</a><a class="docs-footer-nextpage" href="../plasticity/">Plasticity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.17 on <span class="colophon-date" title="Friday 20 May 2022 16:06">Friday 20 May 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.7/man/geounit/index.html b/v0.3.7/man/geounit/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>GeoUnit · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li class="is-active"><a class="tocitem" href>GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>GeoUnit</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>GeoUnit</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/geounit.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="GeoUnit"><a class="docs-heading-anchor" href="#GeoUnit"><code>GeoUnit</code></a><a id="GeoUnit-1"></a><a class="docs-heading-anchor-permalink" href="#GeoUnit" title="Permalink"></a></h1><p>Most parameters have physical units (100km, 9.81 ms⁻²). Yet, within numerical solvers it is usually not a good idea to compute with the actual SI units as they (at least in geosciences) tend to result in very large/small numbers, which can cause in roundoff errors.  Therefore, we usually convert the dimensional units into non-dimensional ones befeore starting computations. The results can than be converted back to more convenient units for us when we generate the output (plots, for example).</p><p>This requires a wauy to store the dimensions of a parameter, but also, once they are made nondimensional, the original units (otherwise we can&#39;t convert them back to dimensional values).</p><p>For that reason, we use the <code>GeoUnit</code> structure, defined as </p><pre><code class="language-julia hljs">struct GeoUnit{T,U}
+    val          :: T
+    unit         :: U
+    isdimensional:: Bool
+end</code></pre><p>You can define a GeoUnit as:</p><pre><code class="language-julia hljs">julia&gt; a = GeoUnit(100km)
+GeoUnit{dimensional, km}, 
+100.0
+julia&gt; b=GeoUnit(100s)
+GeoUnit{dimensional, s}, 
+100.0</code></pre><p>Dividing the two gives the expected result</p><pre><code class="language-julia hljs">julia&gt; c=a/b
+GeoUnit{dimensional, km s⁻¹·⁰}, 
+1.0</code></pre><p>Can also be a vector:</p><pre><code class="language-julia hljs">julia&gt; T = GeoUnit(100K:10.0K:1000K)
+GeoUnit{dimensional, K}, 
+100.0:10.0:1000.0</code></pre><p>The numerical value is obtained with:</p><pre><code class="language-julia hljs">julia&gt; NumValue(c)
+1.0</code></pre><p>It&#39;s unit with</p><pre><code class="language-julia hljs">julia&gt; Unit(c)
+km s⁻¹·⁰</code></pre><p>and the value with unit with</p><pre><code class="language-julia hljs">julia&gt; Value(c)
+1.0 km s⁻¹·⁰</code></pre><p>If you multiply or divide a <code>GeoUnit</code> with a normal number, we assume that you are no longer interested in the units and you&#39;ll get a Float64:</p><pre><code class="language-julia hljs">julia&gt; c*100
+100.0</code></pre><p>The value of the <code>GeoUnit</code> struct becomes clear once we non-dimensionalize it (as explained in more detail in a separate page). For that, first specify which characteristic values you want to use for non-dimensionalisation: </p><pre><code class="language-julia hljs">julia&gt; CharDim = GEO_units(length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas);</code></pre><p>Let&#39;s define a stress:</p><pre><code class="language-julia hljs">julia&gt; σ=GeoUnit(10MPa)
+GeoUnit{dimensional, MPa}, 
+10.0</code></pre><p>And transfer it to nondimensional units:</p><pre><code class="language-julia hljs">julia&gt; σ_nd = nondimensionalize(σ,CharDim)
+GeoUnit{nondimensional, MPa}, 
+0.9999999999999998</code></pre><p>Instead of 1e7 Pa, we now have 1.0; yet at the same time we know that the original unit of σ_nd was in MPa, which allows to transfer it back to dimensional units:</p><pre><code class="language-julia hljs">julia&gt; dimensionalize(σ_nd,CharDim)
+GeoUnit{dimensional, MPa}, 
+10.0</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../">« Home</a><a class="docs-footer-nextpage" href="../nondimensionalize/">Nondimensionalization »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.17 on <span class="colophon-date" title="Friday 20 May 2022 16:06">Friday 20 May 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.7/man/gravity/index.html b/v0.3.7/man/gravity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Gravity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li class="is-active"><a class="tocitem" href>Gravity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Gravity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Gravity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/gravity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Gravitational-acceleration"><a class="docs-heading-anchor" href="#Gravitational-acceleration">Gravitational acceleration</a><a id="Gravitational-acceleration-1"></a><a class="docs-heading-anchor-permalink" href="#Gravitational-acceleration" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Gravitational acceleration is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">GravityConstant(g=9.81m/s^2)</code></pre><p>Set a constant value for the gravitational acceleration:</p><p class="math-container">\[    g  = 9.81 m s^{-2}\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/GravitationalAcceleration/GravitationalAcceleration.jl#L18-L25">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a> — <span class="docstring-category">Function</span></header><section><div><p>compute_gravity(s:&lt;AbstractGravity)</p><p>Returns the gravitational acceleration </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/GravitationalAcceleration/GravitationalAcceleration.jl#L52-L57">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../shearheating/">« Shear heating</a><a class="docs-footer-nextpage" href="../melting/">Partial Melting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.17 on <span class="colophon-date" title="Friday 20 May 2022 16:06">Friday 20 May 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.7/man/heatcapacity/index.html b/v0.3.7/man/heatcapacity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Heat Capacity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li class="is-active"><a class="tocitem" href>Heat Capacity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Heat Capacity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Heat Capacity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/heatcapacity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Heat-capacity"><a class="docs-heading-anchor" href="#Heat-capacity">Heat capacity</a><a id="Heat-capacity-1"></a><a class="docs-heading-anchor-permalink" href="#Heat-capacity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Heat capacity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity" href="#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantHeatCapacity(cp=1050J/mol/kg)</code></pre><p>Set a constant heat capacity:</p><p class="math-container">\[    cp  = cst\]</p><p>where <span>$cp$</span> is the thermal heat capacity [<span>$J/kg/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Energy/HeatCapacity.jl#L25-L33">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington" href="#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_HeatCapacity_Whittington()</code></pre><p>Sets a temperature-dependent heat capacity following the parameterization of Whittington et al. (2009), Nature:</p><p class="math-container">\[    Cp = (a + b T - c/T^2)/m \]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/kg/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <code>T</code>:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>molmass =   0.22178kg/mol </li></ul><p>Note that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than <span>$J/mol/K$</span> as in eq.3/4 of the paper)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Energy/HeatCapacity.jl#L69-L87">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">Cp = compute_heatcapacity(s:&lt;AbstractHeatCapacity, P, T)</code></pre><p>Returns the heat capacity <code>Cp</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the heat capacity laws implemented.</p><p>Currently available:</p><ul><li>ConstantHeatCapacity</li><li>T_HeatCapacity_Whittington</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia hljs">julia&gt; T  = (250:100:1250)*K;
+julia&gt; cp = T_HeatCapacity_Whittington()
+julia&gt; Cp = ComputeHeatCapacity(0,T,cp)
+11-element Vector{Unitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:
+  635.4269997294616 J kg⁻¹ K⁻¹
+  850.7470171764261 J kg⁻¹ K⁻¹
+  962.0959598489883 J kg⁻¹ K⁻¹
+ 1037.5420433770641 J kg⁻¹ K⁻¹
+ 1097.3517921966488 J kg⁻¹ K⁻¹
+ 1149.2745563671706 J kg⁻¹ K⁻¹
+ 1157.7915050948404 J kg⁻¹ K⁻¹
+ 1172.3554874197264 J kg⁻¹ K⁻¹
+ 1186.9194697445964 J kg⁻¹ K⁻¹
+  1201.483452069455 J kg⁻¹ K⁻¹
+ 1216.0474343943067 J kg⁻¹ K⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Energy/HeatCapacity.jl#L174-L204">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_heatcapacity!(cp_array::AbstractArray{_T, N},s::T_HeatCapacity_Whittington{_T}, T::_T=zero(_T), P::_T=zero(_T)) where {_T,N}</code></pre><p>Computes T-dependent heat capacity in-place    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Energy/HeatCapacity.jl#L122-L126">source</a></section><section><div><pre><code class="nohighlight hljs">compute_heatcapacity!(Cp::AbstractArray{_T, N}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct, 1}, PhaseRatios::AbstractArray{_T, M}, P::AbstractArray{_T, N},T::AbstractArray{_T, N})</code></pre><p>In-place computation of heat capacity <code>Cp</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Energy/HeatCapacity.jl#L236-L242">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plasticity/">« Plasticity</a><a class="docs-footer-nextpage" href="../conductivity/">Conductivity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.17 on <span class="colophon-date" title="Friday 20 May 2022 16:06">Friday 20 May 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.7/man/latentheat/index.html b/v0.3.7/man/latentheat/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Latent heat · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li class="is-active"><a class="tocitem" href>Latent heat</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Latent heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Latent heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/latentheat.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Latent-heat"><a class="docs-heading-anchor" href="#Latent-heat">Latent heat</a><a id="Latent-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Latent-heat" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Latent heat (of crystallisation) is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat" href="#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantLatentHeat(Q_L=400kJ/kg)</code></pre><p>Set a constant latent heat:</p><p class="math-container">\[    Q_L  = cst\]</p><p>where <span>$Q_L$</span> is the latent heat [<span>$kJ/kg$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Energy/LatentHeat.jl#L23-L31">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.LatentHeat.compute_latent_heat</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../conductivity/">« Conductivity</a><a class="docs-footer-nextpage" href="../radioactiveheating/">Radioactive heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.17 on <span class="colophon-date" title="Friday 20 May 2022 16:06">Friday 20 May 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.7/man/listfunctions/index.html b/v0.3.7/man/listfunctions/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>List of functions · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li class="is-active"><a class="tocitem" href>List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>List of functions</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>List of functions</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/listfunctions.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="List-of-all-functions"><a class="docs-heading-anchor" href="#List-of-all-functions">List of all functions</a><a id="List-of-all-functions-1"></a><a class="docs-heading-anchor-permalink" href="#List-of-all-functions" title="Permalink"></a></h1><p>This page details the some of the guidelines that should be followed when contributing to this package.</p><ul><li><a href="../nondimensionalize/#GeoParams.Units"><code>GeoParams.Units</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.CreepLaw.DislocationCreep"><code>GeoParams.MaterialParameters.CreepLaw.DislocationCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.CreepLaw.LinearViscous"><code>GeoParams.MaterialParameters.CreepLaw.LinearViscous</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.CreepLaw.PowerlawViscous"><code>GeoParams.MaterialParameters.CreepLaw.PowerlawViscous</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.Elasticity.ConstantElasticity"><code>GeoParams.MaterialParameters.Elasticity.ConstantElasticity</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington</code></a></li><li><a href="../latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a></li><li><a href="../phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a></li><li><a href="../plasticity/#GeoParams.MaterialParameters.Plasticity.DruckerPrager"><code>GeoParams.MaterialParameters.Plasticity.DruckerPrager</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_4thOrder"><code>GeoParams.MeltingParam.MeltingParam_4thOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_5thOrder"><code>GeoParams.MeltingParam.MeltingParam_5thOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Assimilation"><code>GeoParams.MeltingParam.MeltingParam_Assimilation</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Quadratic"><code>GeoParams.MeltingParam.MeltingParam_Quadratic</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.SmoothMelting"><code>GeoParams.MeltingParam.SmoothMelting</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.TASclassificationData"><code>GeoParams.TASclassification.TASclassificationData</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.ZirconAgeData"><code>GeoParams.ZirconAges.ZirconAgeData</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.CreepLaw.SetDislocationCreep"><code>GeoParams.MaterialParameters.CreepLaw.SetDislocationCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII"><code>GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII"><code>GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate"><code>GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate!"><code>GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate!</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a></li><li><a href="../plasticity/#GeoParams.MaterialParameters.Plasticity.compute_yieldfunction"><code>GeoParams.MaterialParameters.Plasticity.compute_yieldfunction</code></a></li><li><a href="../plasticity/#GeoParams.MaterialParameters.Plasticity.compute_yieldfunction!"><code>GeoParams.MaterialParameters.Plasticity.compute_yieldfunction!</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity!"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity!</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity!"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity!</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.melt_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.melt_correction</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_dϕdT"><code>GeoParams.MeltingParam.compute_dϕdT</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_dϕdT!"><code>GeoParams.MeltingParam.compute_dϕdT!</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a></li><li><a href="../phasediagrams/#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a></li><li><a href="../plotting/#GeoParams.PlotConductivity"><code>GeoParams.PlotConductivity</code></a></li><li><a href="../plotting/#GeoParams.PlotHeatCapacity"><code>GeoParams.PlotHeatCapacity</code></a></li><li><a href="../melting/#GeoParams.PlotMeltFraction"><code>GeoParams.PlotMeltFraction</code></a></li><li><a href="../plotting/#GeoParams.PlotPhaseDiagram"><code>GeoParams.PlotPhaseDiagram</code></a></li><li><a href="../plotting/#GeoParams.PlotStressStrainrate_CreepLaw"><code>GeoParams.PlotStressStrainrate_CreepLaw</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.computeTASclassification"><code>GeoParams.TASclassification.computeTASclassification</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.retrieveTASrockType"><code>GeoParams.TASclassification.retrieveTASrockType</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.compute_zircon_age_PDF"><code>GeoParams.ZirconAges.compute_zircon_age_PDF</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.compute_zircons_Ttpath"><code>GeoParams.ZirconAges.compute_zircons_Ttpath</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.zircon_age_PDF"><code>GeoParams.ZirconAges.zircon_age_PDF</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a></li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plotting/">« Plotting</a><a class="docs-footer-nextpage" href="../contributing/">Contributing »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.17 on <span class="colophon-date" title="Friday 20 May 2022 16:06">Friday 20 May 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.7/man/materialparameters/index.html b/v0.3.7/man/materialparameters/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Material Parameters · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li class="is-active"><a class="tocitem" href>Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Material Parameters</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Material Parameters</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/materialparameters.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="MaterialParameters"><a class="docs-heading-anchor" href="#MaterialParameters">MaterialParameters</a><a id="MaterialParameters-1"></a><a class="docs-heading-anchor-permalink" href="#MaterialParameters" title="Permalink"></a></h1><p>Material properties for a given phase can be set with <code>SetMaterialParams</code>, whereas all properties are  stored in the <code>MaterialParams</code> structure. Information about the material parameter is found at <code>MaterialParamsInfo</code>. This can be employed </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParamsInfo" href="#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MaterialParamsInfo</code></pre><p>Structure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.</p><p>Usually used in combination with <code>param_info(the_parameter_of_interest)</code></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/MaterialParameters.jl#L22-L30">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SetMaterialParams" href="#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetMaterialParams(; Name::String=&quot;&quot;, Phase::Int64=1,
+                    Density             =   nothing, 
+                    Gravity             =   nothing,
+                    CreepLaws           =   nothing, 
+                    Elasticity          =   nothing, 
+                    Plasticity          =   nothing, 
+                    Conductivity        =   nothing, 
+                    HeatCapacity        =   nothing, 
+                    RadioactiveHeat     =   nothing,
+                    LatentHeat          =   nothing,
+                    ShearHeat           =   nothing,
+                    Melting             =   nothing,
+                    SeismicVelocity     =   nothing,
+                    CharDim::GeoUnits   =   nothing)</code></pre><p>Sets material parameters for a given phase. </p><p>If <code>CharDim</code> is specified the input parameters are non-dimensionalized.   Note that if <code>Density</code> is specified, we also set <code>Gravity</code> even if not explicitly listed</p><p><strong>Examples</strong></p><p>Define two viscous creep laws &amp; constant density:</p><pre><code class="language-julia-repl hljs">julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;,
+                       Density   = ConstantDensity(),
+                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))
+Phase 1 : Viscous Matrix
+        | [dimensional units]
+        | 
+        |-- Density           : Constant density: ρ=2900 kg m⁻³ 
+        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  
+        |                       Linear viscosity: η=1.0e21 Pa s</code></pre><p>Define two viscous creep laws &amp; P/T dependent density and nondimensionalize</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);
+julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;, Phase=33,
+                              Density   = PT_Density(),
+                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),
+                              CharDim   = CharUnits_GEO)
+Phase 33: Viscous Matrix
+        | [non-dimensional units]
+        | 
+        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0 
+        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18 
+        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001  
+        |                       Linear viscosity: η=10000.0 </code></pre><p>You can also create an array that holds several parameters:</p><pre><code class="language-julia-repl hljs">julia&gt; MatParam        =   Array{MaterialParams, 1}(undef, 2);
+julia&gt; Phase           =   1;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Upper Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                            Density  = ConstantDensity(ρ=2900kg/m^3));
+julia&gt; Phase           =   2;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Lower Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),
+                            Density  = PT_Density(ρ0=3000kg/m^3));
+julia&gt; MatParam
+2-element Vector{MaterialParams}:
+ Phase 1 : Upper Crust
+    | [dimensional units]
+    | 
+    |-- Density           : Constant density: ρ=2900 kg m⁻³ 
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  
+    |                       Linear viscosity: η=1.0e23 Pa s 
+                            
+ Phase 2 : Lower Crust
+    | [dimensional units]
+    | 
+    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa 
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹  
+    |                       Linear viscosity: η=1.0e21 Pa s </code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/MaterialParameters.jl#L89-L173">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParams" href="#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MaterialParams</code></pre><p>Structure that holds all material parameters for a given phase</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/MaterialParameters.jl#L53-L58">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../nondimensionalize/">« Nondimensionalization</a><a class="docs-footer-nextpage" href="../density/">Density »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.17 on <span class="colophon-date" title="Friday 20 May 2022 16:06">Friday 20 May 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Partial Melting</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Partial Melting</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/melting.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Melting-Parameterizations"><a class="docs-heading-anchor" href="#Melting-Parameterizations">Melting Parameterizations</a><a id="Melting-Parameterizations-1"></a><a class="docs-heading-anchor-permalink" href="#Melting-Parameterizations" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>A number of melting parameterisations are implemented, which can be set with:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Caricchi" href="#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Caricchi()</code></pre><p>Implements the T-dependent melting parameterisation used by Caricchi, Simpson et al. (as for example described in Simpson) </p><p class="math-container">\[    \theta = {(a - (T + c)) \over b} \]</p><p class="math-container">\[    \phi_{melt} = {1.0 \over (1.0 + e^\theta)}\]</p><p>Note that T is in Kelvin. As default parameters we employ:</p><p class="math-container">\[b=23K,  a=800K , c=273.15K\]</p><p>Which gives a reasonable fit to experimental data of granodioritic composition (Piwinskii and Wyllie, 1968):</p><p><img src="../assets/img/MeltingParam_Caricchi.png" alt="MeltParam_Carrichi"/></p><p><strong>References</strong></p><ul><li>Simpson G. (2017) Practical finite element modelling in Earth Sciences Using MATLAB.</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/MeltFraction/MeltingParameterization.jl#L34-L56">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_5thOrder" href="#GeoParams.MeltingParam.MeltingParam_5thOrder"><code>GeoParams.MeltingParam.MeltingParam_5thOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_5thOrder(a,b,c,d,e,f,T_s,T_l)</code></pre><p>Uses a 5th order polynomial to describe the melt fraction <code>phi</code> between solidus temperature <code>T_s</code> and liquidus temperature <code>T_l</code></p><p class="math-container">\[    \phi = a T^5 + b T^4 + c T^3 + d T^2 + e T + f  \textrm{   for   } T_s ≤ T ≤ T_l\]</p><p class="math-container">\[    \phi = 1  \textrm{   if   } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0  \textrm{   if   } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_5thorder.png" alt="MeltingParam_5thOrder"/></p><p>The default values are for a composite liquid-line-of-descent:</p><ul><li>the upper part is for Andesite from: (Blatter, D. L. &amp; Carmichael, I. S. (2001) Hydrous phase equilibria of a Mexican highsilica andesite: a candidate for a mantle origin? Geochim. Cosmochim. Acta 65, 4043–4065</li><li>the lower part is extrapolated to the granitic minimum using the Marxer &amp; Ulmer LLD for Andesite (Marxer, F. &amp; Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. <em>Contributions Mineral. Petrol.</em> 174, 84)</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/MeltFraction/MeltingParameterization.jl#L116-L137">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_4thOrder" href="#GeoParams.MeltingParam.MeltingParam_4thOrder"><code>GeoParams.MeltingParam.MeltingParam_4thOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_4thOrder(b,c,d,e,f,T_s,T_l)</code></pre><p>Uses a 4th order polynomial to describe the melt fraction <code>phi</code> between solidus temperature <code>T_s</code> and liquidus temperature <code>T_l</code></p><p class="math-container">\[    \phi = b T^4 + c T^3 + d T^2 + e T + f  \textrm{   for   } T_s ≤ T ≤ T_l\]</p><p class="math-container">\[    \phi = 1 \textrm{   if   } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0  \textrm{   if   } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_4thorder.png" alt="MeltingParam_4thOrder"/></p><p>The default values are for Tonalite experiments from Marxer and Ulmer (2019):</p><ul><li>Marxer, F. &amp; Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. <em>Contributions Mineral. Petrol.</em> 174, 84</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/MeltFraction/MeltingParameterization.jl#L222-L242">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Quadratic" href="#GeoParams.MeltingParam.MeltingParam_Quadratic"><code>GeoParams.MeltingParam.MeltingParam_Quadratic</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Quadratic(T_s,T_l)</code></pre><p>Quadratic melt fraction parameterisation where melt fraction <span>$\phi$</span> depends only on solidus (<span>$T_s$</span>) and liquidus (<span>$T_l$</span>) temperature:</p><p class="math-container">\[    \phi = 1.0 - \left( {T_l - T} \over {T_l - T_s} \right)^2\]</p><p class="math-container">\[    \phi = 1.0 \textrm{ if } T&gt;T_l \]</p><p class="math-container">\[    \phi = 0.0 \textrm{ if } T&lt;T_s \]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_Quadratic.png" alt="MeltingParam_Quadratic"/></p><p>This was used, among others, in Tierney et al. (2016) Geology</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/MeltFraction/MeltingParameterization.jl#L324-L343">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Assimilation" href="#GeoParams.MeltingParam.MeltingParam_Assimilation"><code>GeoParams.MeltingParam.MeltingParam_Assimilation</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Assimilation(T_s,T_l,a)</code></pre><p>Melt fraction parameterisation that takes the assimilation of crustal host rocks into account, as used by Tierney et al. (2016) based upon a parameterisation of Spera and Bohrson (2001)</p><p>Here, the fraction of molten and assimilated host rocks <span>$\phi$</span> depends on the solidus (<span>$T_s$</span>) and liquidus (<span>$T_l$</span>) temperatures of the rocks, as well as on a parameter <span>$a=0.005$</span></p><p class="math-container">\[    X = \left( {T - T_s} \over {T_l - T_s} \right)\]</p><p class="math-container">\[    \phi = a \cdot \left( \exp^{2ln(100)X} - 1.0 \right) \textrm{ if } X ≤ 0.5\]</p><p class="math-container">\[    \phi = 1- a \cdot \exp^{2ln(100)(1-X)}  \textrm{ if } X &gt; 0.5\]</p><p class="math-container">\[    \phi = 1.0 \textrm{ if } T&gt;T_l \]</p><p class="math-container">\[    \phi = 0.0 \textrm{ if } T&lt;T_s \]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_Assimilation.png" alt="MeltingParam_Assimilation"/></p><p>This was used, among others, in Tierney et al. (2016), who employed as default parameters:</p><p class="math-container">\[   T_s=973.15, T_l=1173.15, a=0.005\]</p><p><strong>References</strong></p><ul><li>Spera, F.J., and Bohrson, W.A., 2001, Energy-Constrained Open-System Magmatic Processes I: General Model and Energy-Constrained Assimilation and Fractional Crystallization (EC- AFC) Formulation: Journal of Petrology, v. 42, p. 999–1018.</li><li>Tierney, C.R., Schmitt, A.K., Lovera, O.M., de Silva, S.L., 2016. Voluminous plutonism during volcanic quiescence revealed by thermochemical modeling of zircon. Geology 44, 683–686. https://doi.org/10.1130/G37968.1</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/MeltFraction/MeltingParameterization.jl#L421-L456">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.SmoothMelting" href="#GeoParams.MeltingParam.SmoothMelting"><code>GeoParams.MeltingParam.SmoothMelting</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">SmoothMelting(; p=MeltingParam_4thOrder(), k_sol=0.2/K,  k_liq=0.2/K)</code></pre><p>This smoothens the melting parameterisation <span>$p$</span> around the solidus <span>$T_{sol}$</span> and liquidus <span>$T_{liq}$</span> using a smoothened Heaviside step functions for the solidus:</p><p class="math-container">\[    H_{sol} =  {1.0 \over { 1 + \exp( -2 k_{sol} (T - T_{sol} - {2 \over k_{sol}}) )  }}\]</p><p>and liquidus:        </p><p class="math-container">\[    H_{liq} =  1.0 - {1.0 \over { 1 + \exp( -2 k_{liq} (T - T_{liq} + {2 \over k_{liq}}) )  }}\]</p><p>The resulting melt fraction <span>$\phi$</span> is computed from the original melt fraction <span>$\phi_0$</span> (computed using one of the methods above) as:</p><p class="math-container">\[    \phi =  \phi_0 H_{sol} H_{liq} + 1.0 - H_{liq}\]</p><p>The width of the smoothening zones is controlled by <span>$k_{sol}, k_{liq}$</span> (larger values = sharper boundary).</p><p>This is important, as jumps in the derivative <span>$dϕ/dT$</span> can cause numerical instabilities in latent heat computations, which is prevented with this smoothening.</p><p><strong>Example</strong></p><p>Let&#39;s consider a 4th order parameterisation:</p><pre><code class="language-julia hljs">julia&gt; using GeoParams, Plots
+julia&gt; p = MeltingParam_4thOrder();
+julia&gt; T= collect(650.0:1:1050.) .+ 273.15;
+julia&gt; T,phi,dϕdT =  PlotMeltFraction(p,T=T);</code></pre><p>The same but with smoothening:</p><pre><code class="language-julia hljs">julia&gt; p_s = SmoothMelting(p=MeltingParam_4thOrder(), k_liq=0.21/K);
+4th order polynomial melting curve: phi = -7.594512597174117e-10T^4 + 3.469192091489447e-6T^3 + -0.00592352980926T^2 + 4.482855645604745T + -1268.730161921053  963.15 K ≤ T ≤ 1270.15 K with smooth Heaviside function smoothening using k_sol=0.1 K⁻¹·⁰, k_liq=0.11 K⁻¹·⁰
+julia&gt; T_s,phi_s,dϕdT_s =  PlotMeltFraction(p_s,T=T);</code></pre><p>We can create plots of this with:</p><pre><code class="language-julia hljs">julia&gt; plt1 = plot(T.-273.15, phi, ylabel=&quot;Melt Fraction ϕ&quot;, color=:red, label=&quot;original&quot;, xlabel=&quot;Temperature [C]&quot;)
+julia&gt; plt1 = plot(plt1, T.-273.15, phi_s,  color=:black, label=&quot;smoothened&quot;, legend=:bottomright)
+julia&gt; plt2 = plot(T.-273.15, dϕdT, ylabel=&quot;dϕ/dT&quot;, color=:red, label=&quot;original&quot;, xlabel=&quot;Temperature [C]&quot;)
+julia&gt; plt2 = plot(plt2, T.-273.15, dϕdT_s,  color=:black, label=&quot;smoothened&quot;, legend=:topright)
+julia&gt; plot!(plt1,plt2,   xlabel=&quot;Temperature [C]&quot;, layout=(2,1))</code></pre><p>The derivative no longer has a jump now:</p><p><img src="../assets/img/MeltingParam_Smooth.png" alt="MeltingParam_Smooth"/></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/MeltFraction/MeltingParameterization.jl#L548-L599">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute the melt fraction at given <code>T</code> and <code>P</code>, use:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction!" href="#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_meltfraction!(ϕ::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T:AbstractArray{&lt;:AbstractFloat}, p::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/MeltFraction/MeltingParameterization.jl#L716-L720">source</a></section><section><div><pre><code class="nohighlight hljs">compute_meltfraction(ϕ::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/MeltFraction/MeltingParameterization.jl#L822-L826">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction" href="#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_meltfraction(P,T, p::AbstractPhaseDiagramsStruct)</code></pre><p>Computes melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/MeltFraction/MeltingParameterization.jl#L704-L708">source</a></section><section><div><pre><code class="nohighlight hljs">ϕ = compute_meltfraction(Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/MeltFraction/MeltingParameterization.jl#L815-L819">source</a></section></article><p>You can also obtain the derivative of melt fraction versus temperature with (useful to compute latent heat effects):</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_dϕdT!" href="#GeoParams.MeltingParam.compute_dϕdT!"><code>GeoParams.MeltingParam.compute_dϕdT!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_dϕdT!(dϕdT::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T:AbstractArray{&lt;:AbstractFloat}, p::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified. The derivative is computed by finite differencing.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/MeltFraction/MeltingParameterization.jl#L753-L758">source</a></section><section><div><pre><code class="nohighlight hljs">compute_dϕdT!(ϕ::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computates the derivative of melt fraction <code>ϕ</code> versus temperature <code>T</code>, <span>${\partial \phi} \over {\partial T}$</span> for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This is employed, for example, in computing latent heat terms in an implicit manner.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/MeltFraction/MeltingParameterization.jl#L837-L842">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_dϕdT" href="#GeoParams.MeltingParam.compute_dϕdT"><code>GeoParams.MeltingParam.compute_dϕdT</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_dϕdT(P,T, p::AbstractPhaseDiagramsStruct)</code></pre><p>Computes derivative of melt fraction vs T in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified. The derivative is computed by finite differencing.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/MeltFraction/MeltingParameterization.jl#L735-L740">source</a></section><section><div><pre><code class="nohighlight hljs">ϕ = compute_dϕdT(Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computates the derivative of melt fraction ϕ versus temperature <code>T</code> for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This is employed in computing latent heat terms in an implicit manner, for example</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/MeltFraction/MeltingParameterization.jl#L829-L834">source</a></section></article><p>Also note that phase diagrams can be imported using <code>PerpleX_LaMEM_Diagram</code>, which may also have melt content information.  The computational routines work with that as well.</p><h1 id="Plotting-routines"><a class="docs-heading-anchor" href="#Plotting-routines">Plotting routines</a><a id="Plotting-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting-routines" title="Permalink"></a></h1><p>You can use the routine <code>PlotMeltFraction</code> to create a plot, provided that the <code>Plots</code> package has been loaded</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotMeltFraction" href="#GeoParams.PlotMeltFraction"><code>GeoParams.PlotMeltFraction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">T,phi,plt = PlotMeltFraction(p::AbstractMeltingParam; T=nothing, plt=nothing, lbl=nothing)</code></pre><p>Creates a plot of temperature <code>T</code> vs. melt fraction, as specified in <code>p</code>.  The 1D curve can be evaluated at a specific pressure <code>P</code> which can be given as a scalar or as an array of the same size as <code>T</code></p><p><strong>Optional parameters</strong></p><ul><li><code>T</code>: temperature range</li><li><code>P</code>: pressure </li><li><code>plt</code>: a previously generated plotting object</li><li><code>lbl</code>: label of the curve</li></ul><p><strong>Example</strong></p><pre><code class="nohighlight hljs">julia&gt; p          =  MeltingParam_Caricchi()
+julia&gt; T,phi,dϕdT =  PlotMeltFraction(p)</code></pre><p>you can now save the figure to disk with:</p><pre><code class="nohighlight hljs">julia&gt; using Plots
+julia&gt; savefig(plt,&quot;MeltFraction.png&quot;)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Plotting.jl#L198-L221">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../gravity/">« Gravity</a><a class="docs-footer-nextpage" href="../TASclassification/">TAS classification »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.17 on <span class="colophon-date" title="Friday 20 May 2022 16:06">Friday 20 May 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Nondimensionalization · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" 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class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li class="is-active"><a class="tocitem" href>Nondimensionalization</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Specify-characteristic-values"><span>Specify characteristic values</span></a></li><li class="toplevel"><a class="tocitem" href="#(Non)-dimensionalize-parameters"><span>(Non)-dimensionalize parameters</span></a></li></ul></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Nondimensionalization</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Nondimensionalization</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/nondimensionalize.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Nondimensionalization"><a class="docs-heading-anchor" href="#Nondimensionalization">Nondimensionalization</a><a id="Nondimensionalization-1"></a><a class="docs-heading-anchor-permalink" href="#Nondimensionalization" title="Permalink"></a></h1><p>Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between <code>GEO</code>, <code>SI</code> or <code>NO</code> units:</p><ul><li><code>SI</code> units assume all input and output is in <code>SI</code> units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).</li><li><code>GEO</code> units uses <code>SI</code> units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as <code>Myrs</code>,<code>km</code> or <code>MPa</code></li><li><code>NO</code> units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that <code>velocity</code> is given in <code>m/s</code>).</li></ul><p>A dimensional parameter can be transformed into a non-dimensional one with <code>nondimensionalize</code>.</p><h1 id="Specify-characteristic-values"><a class="docs-heading-anchor" href="#Specify-characteristic-values">Specify characteristic values</a><a id="Specify-characteristic-values-1"></a><a class="docs-heading-anchor-permalink" href="#Specify-characteristic-values" title="Permalink"></a></h1><p>Characteristic values can be defined in 3 ways.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units" href="#GeoParams.Units"><code>GeoParams.Units</code></a> — <span class="docstring-category">Module</span></header><section><div><pre><code class="language-julia hljs">This provides units and creates a non-dimensionalization object</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Units.jl#L1-L3">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.AbstractGeoUnit" href="#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><p>AbstractGeoUnit</p><p>Abstract supertype for geo units.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Units.jl#L57-L61">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnit" href="#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.
+
+Having that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.
+With the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Units.jl#L72-L79">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnits" href="#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">GeoUnits
+
+Structure that holds parameters used for non-dimensionalization</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Units.jl#L194-L198">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GEO_units" href="#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)</code></pre><p>Creates a non-dimensionalization object using GEO units.</p><p>GEO units implies that upon dimensionalization, <code>time</code> will be in <code>Myrs</code>, <code>length</code> in <code>km</code>, stress in <code>MPa</code>, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (<code>km</code> or <code>m</code>), provided the unit is specified.</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = GEO_units()
+Employing GEO units 
+Characteristic values: 
+         length:      1000 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C
+julia&gt; CharUnits.velocity
+1.0e-7 m s⁻¹</code></pre><p>If we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic <code>length</code>:</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = GEO_units(length=10km)
+Employing GEO units 
+Characteristic values: 
+         length:      10 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Units.jl#L248-L279">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.SI_units" href="#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)</code></pre><p>Specify the characteristic values using SI units </p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = SI_units(length=1000m)
+Employing SI units 
+Characteristic values: 
+         length:      1000 m
+         time:        1.0e19 s
+         stress:      10 Pa
+         temperature: 1000.0 K</code></pre><p>Note that the same can be achieved if the input is given in <code>km</code>:</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = SI_units(length=1km)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Units.jl#L303-L322">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.NO_units" href="#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)</code></pre><p>Specify the characteristic values in non-dimensional units</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GeoParams;
+julia&gt; CharUnits = NO_units()
+Employing NONE units 
+Characteristic values: 
+         length:      1
+         time:        1.0 
+         stress:      1
+         temperature: 1.0</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Units.jl#L345-L361">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_val" href="#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia hljs">This unpacks the numerical value of `GeoUnit` in a structure, without the units.
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_val ρ,α = r
+julia&gt; α
+4.0e-5
+julia&gt; typeof(α)
+Float64</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/unpack.jl#L4-L23">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_units" href="#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia hljs">This unpacks the numerical value with units of `GeoUnit` parameters in a structure
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_units ρ,α = r
+julia&gt; α
+4.0e-5 K⁻¹·⁰
+julia&gt; typeof(α)
+Quantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/unpack.jl#L44-L63">source</a></section></article><h1 id="(Non)-dimensionalize-parameters"><a class="docs-heading-anchor" href="#(Non)-dimensionalize-parameters">(Non)-dimensionalize parameters</a><a id="(Non)-dimensionalize-parameters-1"></a><a class="docs-heading-anchor-permalink" href="#(Non)-dimensionalize-parameters" title="Permalink"></a></h1><p>Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.nondimensionalize" href="#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">nondimensionalize(param, CharUnits::GeoUnits{TYPE})</code></pre><p>Nondimensionalizes <code>param</code> using the characteristic values specified in <code>CharUnits</code></p><p><strong>Example 1</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GeoParams;
+julia&gt; CharUnits =   GEO_units();
+julia&gt; v         =   3cm/yr
+3 cm yr⁻¹ 
+julia&gt; v_ND      =   nondimensionalize(v, CharUnits) 
+0.009506426344208684</code></pre><p><strong>Example 2</strong></p><p>In geodynamics one sometimes encounters more funky units</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits =   GEO_units();
+julia&gt; A         =   6.3e-2MPa^-3.05*s^-1
+0.063 MPa⁻³·⁰⁵ s⁻¹
+julia&gt; A_ND      =   nondimensionalize(A, CharUnits) 
+7.068716262102384e14</code></pre><p>In case you are interested to see how the units of <code>A</code> look like in different units, use this function from the <a href="https://github.com/PainterQubits/Unitful.jl">Unitful</a> package:</p><pre><code class="language-julia-repl hljs">julia&gt; uconvert(u&quot;Pa^-3.05*s^-1&quot;,A) 
+3.157479571851836e-20 Pa⁻³·⁰⁵</code></pre><p>and to see it decomposed in the basic <code>SI</code> units of length, mass and time:</p><pre><code class="language-julia-repl hljs">julia&gt; upreferred(A)
+3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Units.jl#L379-L413">source</a></section><section><div><pre><code class="nohighlight hljs">MatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Non-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Units.jl#L467-L472">source</a></section><section><div><pre><code class="nohighlight hljs">nondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>nondimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Units.jl#L494-L498">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.dimensionalize" href="#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes <code>param</code> into the dimensions <code>param_dim</code> using the characteristic values specified in <code>CharUnits</code>.  </p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits =   GEO_units();
+julia&gt; v_ND      =   nondimensionalize(3cm/yr, CharUnits) 
+0.031688087814028945
+julia&gt; v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) 
+3.0 cm yr⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Units.jl#L530-L544">source</a></section><section><div><pre><code class="nohighlight hljs">dimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Units.jl#L568-L573">source</a></section><section><div><pre><code class="nohighlight hljs">Dimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>Dimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Units.jl#L595-L599">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.isDimensional" href="#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">isDimensional(MatParam::AbstractMaterialParam)</code></pre><p><code>true</code> if MatParam is in dimensional units.    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Units.jl#L619-L623">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../geounit/">« GeoUnit</a><a class="docs-footer-nextpage" href="../materialparameters/">Material Parameters »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.17 on <span class="colophon-date" title="Friday 20 May 2022 16:06">Friday 20 May 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.7/man/phasediagrams/index.html b/v0.3.7/man/phasediagrams/index.html
new file mode 100644
index 000000000..13be7c278
--- /dev/null
+++ b/v0.3.7/man/phasediagrams/index.html
@@ -0,0 +1,12 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Phase Diagrams · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li class="is-active"><a class="tocitem" href>Phase Diagrams</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Perple_X"><span>Perple_X</span></a></li></ul></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Phase Diagrams</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Phase Diagrams</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/phasediagrams.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Phase-Diagrams"><a class="docs-heading-anchor" href="#Phase-Diagrams">Phase Diagrams</a><a id="Phase-Diagrams-1"></a><a class="docs-heading-anchor-permalink" href="#Phase-Diagrams" title="Permalink"></a></h1><p>It is possible to employ phase diagrams as lookup tables, which can be used to compute density, melt fraction or seismic properties, for example. </p><h1 id="Perple_X"><a class="docs-heading-anchor" href="#Perple_X">Perple_X</a><a id="Perple_X-1"></a><a class="docs-heading-anchor-permalink" href="#Perple_X" title="Permalink"></a></h1><p>A popular way to compute phase diagrams (pseudosections) for a given (fixed) chemical composition as a function of pressure and temperature is by using <a href="https://www.perplex.ethz.ch">Perple_X</a>. Once a stable assemblage is computed, through Gibbs energy minimisation, it allows you to output a large number of properties such as density, melt fraction or seismic velocities.</p><p>Within GeoParams, we can import this diagram (provided it is formatted in the same manner as <code>LaMEM</code> expects <code>Perple_X</code> input to be).</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PerpleX_LaMEM_Diagram" href="#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">PD_Data = PerpleX_LaMEM_Diagram(fname::String; CharDim = nothing)</code></pre><p>Reads a precomputed phase diagram in the <code>LaMEM/Perple_X</code> format (which is a phase diagram computed using <code>Perple_X</code>, but formatted in a manner that is readable using LaMEM). The data is stored in the <code>PhaseDiagram_LookupTable</code> structure.</p><p>If the <code>CharDim</code> object is specified, the values of all diagrams will be non-dimensionalized.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; PD_Data = PerpleX_LaMEM_Diagram(&quot;./test_data/Peridotite.in&quot;)
+Perple_X/LaMEM Phase Diagram Lookup Table: 
+                      File    :   ./test_data/Peridotite.in
+                      T       :   293.0 - 1573.000039
+                      P       :   1.0e7 - 2.9999999944e9
+                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp
+                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs
+                                  :Vp, :Vs, :VpVs</code></pre><p>Once imported, the properties on the diagram can be interpolated in a simple manner:</p><pre><code class="nohighlight hljs">julia&gt; PD_Data.Rho(1500,1e7)
+3042.836820256982</code></pre><p>This also works for vectors or arrays:</p><pre><code class="language-julia hljs">julia&gt; T = [1500 1800; 1233 1300]
+julia&gt; P = [1e8 1e9; 1e7 1e7]
+julia&gt; rho = PD_Data.Rho.(T,P)</code></pre><p>(Note the dot <code>.</code> in front of the bracket while evaluating arrays).</p><p>The fields that are available depend on what is listed in the diagram file.  The units of the fields are automatically evaluated, and employed to non-dimensionalize the parameters if <code>CharDim</code> is specified. </p><p><strong>Algorithm</strong></p><p>Internally, we employ linear interpolation, as provided by the <a href="https://github.com/JuliaMath/Interpolations.jl">Interpolations.jl</a> package. Values outside the range of the diagram are set to the boundary of the diagram. The interpolation object is directly encoded in the <code>PhaseDiagram_LookupTable</code>` object.  </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/PhaseDiagrams/PhaseDiagrams.jl#L39-L80">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable" href="#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Contains data of a Phase Diagram that is regularly spaced in P &amp; T</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/PhaseDiagrams/PhaseDiagrams.jl#L15-L17">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../zirconages/">« Zircon Ages</a><a class="docs-footer-nextpage" href="../seismicvelocity/">Seismic Velocity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.17 on <span class="colophon-date" title="Friday 20 May 2022 16:06">Friday 20 May 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.7/man/plasticity/index.html b/v0.3.7/man/plasticity/index.html
new file mode 100644
index 000000000..6ae76ceed
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+++ b/v0.3.7/man/plasticity/index.html
@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Plasticity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul 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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Plasticity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Plasticity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/plasticity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Plasticity"><a class="docs-heading-anchor" href="#Plasticity">Plasticity</a><a id="Plasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Plasticity" title="Permalink"></a></h1><p>Plasticity is a non;linear rheology bthat is actrivated once stresses exceed a certain yield criteria.</p><h1 id="Implemented-laws"><a class="docs-heading-anchor" href="#Implemented-laws">Implemented  laws</a><a id="Implemented-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-laws" title="Permalink"></a></h1><p>The following plastic law are implemented:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Plasticity.DruckerPrager" href="#GeoParams.MaterialParameters.Plasticity.DruckerPrager"><code>GeoParams.MaterialParameters.Plasticity.DruckerPrager</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DruckerPrager(ϕ=30, Ψ=0, C=10e6Pa)</code></pre><p>Sets parameters for Drucker-Prager plasticity, where the yield stress <span>$\sigma_{y}$</span> is computed by</p><p class="math-container">\[    \sigma_{y} = (P-P_f)\tan(ϕ) + C\]</p><p>with <span>$\phi$</span> being the friction angle (in degrees), <span>$C$</span> cohesion, <span>$P$</span> dynamic pressure and <span>$P_f$</span> the fluid pressure (both positive under compression).  </p><p><em>Yielding</em> occurs when the second invariant of the deviatoric stress tensor, <span>$\tau_{II}=(0.5\tau_{ij}\tau_{ij})^{0.5}$</span> touches the yield stress.  This can be computed with the yield function <span>$F$</span> and the plastic flow potential <span>$Q$</span>, which are respectively given by </p><p class="math-container">\[    F = \tau_{II} - \cos(ϕ)C - \sin(ϕ)(P-P_f)\]</p><p class="math-container">\[    Q = \tau_{II} - \sin(Ψ)(P-P_f) \]</p><p>Here, Ψ is the dilation angle, which must be zero for incompressible setups.</p><p>Plasticity is activated when <span>$F(\tau_{II}^{trial})$</span> (the yield function computed with a trial stress) is &gt;0. In that case, plastic strainrate <span>$\dot{\varepsilon}^{pl}_{ij}$</span> is computed by:</p><p class="math-container">\[    \dot{\varepsilon}^{pl}_{ij} =\dot{\lambda} {\partial Q \over \partial \sigma_{ij}}\]</p><p>where <span>$\dot{\lambda}$</span> is a (scalar) that is nonzero and chosen such that the resuling stress gives <span>$F(\tau_{II}^{final})=0$</span>, and <span>$\sigma_{ij}=-P + \tau_{ij}$</span> denotes the total stress tensor.   </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Plasticity/Plasticity.jl#L23-L48">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>Once a plastic rheology is defined, we can use the following routines to perform computations within the solvers</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Plasticity.compute_yieldfunction" href="#GeoParams.MaterialParameters.Plasticity.compute_yieldfunction"><code>GeoParams.MaterialParameters.Plasticity.compute_yieldfunction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_yieldfunction(s::DruckerPrager; P, τII_old, Pf, kwargs...)</code></pre><p>Computes the plastic yield function <code>F</code> for a given second invariant of the deviatoric stress tensor <code>τII</code>,  <code>P</code> the pressure, and <code>Pf</code> fluid pressure.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Plasticity/Plasticity.jl#L70-L74">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Plasticity.compute_yieldfunction!" href="#GeoParams.MaterialParameters.Plasticity.compute_yieldfunction!"><code>GeoParams.MaterialParameters.Plasticity.compute_yieldfunction!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_yieldfunction!(F::AbstractArray{_T,N}, s::DruckerPrager{_T}; P::AbstractArray{_T,N}, τII::AbstractArray{_T,N}, Pf=zero(P)::AbstractArray{_T,N}, kwargs...)</code></pre><p>Computes the plastic yield function <code>F</code> for Drucker-Prager plasticity in an in-place manner. Required input arrays are pressure <code>P</code> and the second invariant of the deviatoric stress tensor <code>τII</code> at every point.  You can optionally provide an array with fluid pressure <code>Pf</code> as well. </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Plasticity/Plasticity.jl#L77-L83">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../elasticity/">« Elasticity</a><a class="docs-footer-nextpage" href="../heatcapacity/">Heat Capacity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.17 on <span class="colophon-date" title="Friday 20 May 2022 16:06">Friday 20 May 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.7/man/plotting/index.html b/v0.3.7/man/plotting/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Plotting · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li class="is-active"><a class="tocitem" href>Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Plotting</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Plotting</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/plotting.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Plotting"><a class="docs-heading-anchor" href="#Plotting">Plotting</a><a id="Plotting-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting" title="Permalink"></a></h1><p>We provide a number of plotting routines. Note that these plotting routines only become available once the <code>Plots</code> package is loaded.</p><h3 id="Plot-CreepLaws"><a class="docs-heading-anchor" href="#Plot-CreepLaws">Plot CreepLaws</a><a id="Plot-CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#Plot-CreepLaws" title="Permalink"></a></h3><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotStressStrainrate_CreepLaw" href="#GeoParams.PlotStressStrainrate_CreepLaw"><code>GeoParams.PlotStressStrainrate_CreepLaw</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">PlotStressStrainrate_CreepLaw(x::AbstractCreepLaw; p::CreepLawParams=nothing, Strainrate=(1e-18,1e-12), CreatePlot::Bool=false)</code></pre><p>Plots deviatoric stress versus deviatoric strain rate for a single creeplaw.      Note: if you want to create plots or use the <code>CreatePlot=true</code> option you need to install the <code>Plots.jl</code> package in julia     which is not added as a dependency here (as it is a rather large dependency).</p><p><strong>Example 1</strong></p><pre><code class="language-julia-repl hljs">julia&gt; x=LinearViscous()
+Linear viscosity: η=1.0e20 Pa s
+julia&gt; Tau_II, Eps_II,  = PlotStressStrainrate_CreepLaw(x);</code></pre><p>Next you can plot this with</p><pre><code class="language-julia-repl hljs">julia&gt; using Plots;
+julia&gt; plot(ustrip(Eps_II),ustrip(Tau_II), xaxis=:log, yaxis=:log,xlabel=&quot;strain rate [1/s]&quot;,ylabel=&quot;Dev. Stress [MPa]&quot;)</code></pre><p>Note that <code>ustrip</code> removes the units of the arrays, as many of the plotting packages don&#39;t know how to deal with that.</p><p>You could also have done:</p><pre><code class="language-julia-repl hljs">julia&gt; using Plots;
+julia&gt; Tau_II, Eps_II, pl = PlotStressStrainrate_CreepLaw(x,CreatePlot=true);</code></pre><p>which will generate the following plot <img src="../assets/img/Stress_Strainrate_LinearViscous.png" alt="subet1"/></p><p>The plot can be customized as </p><pre><code class="language-julia-repl hljs">julia&gt; plot(pl, title=&quot;Linear viscosity&quot;, linecolor=:red)</code></pre><p>See the <a href="https://github.com/JuliaPlots/Plots.jl">Plots.jl</a> package for more options.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Plotting.jl#L29-L63">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotHeatCapacity" href="#GeoParams.PlotHeatCapacity"><code>GeoParams.PlotHeatCapacity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">T,Cp,plt = PlotHeatCapacity(cp::AbstractHeatCapacity; T=nothing, plt=nothing, lbl=nothing)</code></pre><p>Creates a plot of temperature <code>T</code> vs. heat capacity, as specified in cp (which can be temperature-dependent).</p><p><strong>Optional parameters</strong></p><ul><li>T: temperature range</li><li>plt: a previously generated plotting object</li><li>lbl: label of the curve</li></ul><p><strong>Example</strong></p><pre><code class="nohighlight hljs">julia&gt; cp = T_HeatCapacity_Whittacker()
+julia&gt; T,Cp,plt = PlotHeatCapacity(cp)</code></pre><p>you can now save the figure to disk with:</p><pre><code class="nohighlight hljs">julia&gt; using Plots
+julia&gt; savefig(plt,&quot;Tdependent_heatcapacity.png&quot;)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Plotting.jl#L99-L120">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotConductivity" href="#GeoParams.PlotConductivity"><code>GeoParams.PlotConductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">T,Kk,plt = PlotConductivity(cp::AbstractConductivity; T=nothing, plt=nothing, lbl=nothing)</code></pre><p>Creates a plot of temperature <code>T</code> vs. thermal conductivity, as specified in <code>k</code> (which can be temperature-dependent).</p><p><strong>Optional parameters</strong></p><ul><li><code>T</code>: temperature range</li><li><code>plt</code>: a previously generated plotting object</li><li><code>lbl</code>: label of the curve</li></ul><p><strong>Example</strong></p><pre><code class="nohighlight hljs">julia&gt; k = T_Conductivity_Whittacker()
+julia&gt; T,KK,plt = PlotConductivity(k)</code></pre><p>you can now save the figure to disk with:</p><pre><code class="nohighlight hljs">julia&gt; using Plots
+julia&gt; savefig(plt,&quot;Tdependent_conductivity.png&quot;)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Plotting.jl#L147-L168">source</a></section></article><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotMeltFraction</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotPhaseDiagram" href="#GeoParams.PlotPhaseDiagram"><code>GeoParams.PlotPhaseDiagram</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">plt, data, Tvec, Pvec = PlotPhaseDiagram(p::PhaseDiagram_LookupTable; fieldname::Symbol, Tvec=nothing, Pvec=nothing)</code></pre><p>Plots a phase diagram as a function of <code>T</code> (x-axis) and <code>P</code> (y-axis). We either use the default ranges of the diagram, or you can specify the temperature and pressure ranges (while specifying units). The return arguments are the plotting object <code>plt</code> (so you can modify properties) as well as the data that is being plotted</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; PD_data =  Read_LaMEM_Perple_X_Diagram(&quot;Peridotite.in&quot;)
+Perple_X/LaMEM Phase Diagram Lookup Table: 
+                      File    :   Peridotite.in
+                      T       :   293.0 - 1573.000039
+                      P       :   1.0e7 - 2.9999999944e9
+                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp
+                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs
+                                  :Vp, :Vs, :VpVs, :cpxFrac
+julia&gt; PlotPhaseDiagram(PD_data,:meltFrac, Tvec=(100:1:1400).*C, Pvec=(.1:.1:30).*kbar )</code></pre><p>This will generate the following plot <img src="../assets/img/PhaseDiagram.png" alt="subet2"/></p><p>You can also use the default pressure/temperature ranges in the diagrams:</p><pre><code class="language-julia hljs">julia&gt; PlotPhaseDiagram(PD_data,:Rho)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Plotting.jl#L259-L287">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../seismicvelocity/">« Seismic Velocity</a><a class="docs-footer-nextpage" href="../listfunctions/">List of functions »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.17 on <span class="colophon-date" title="Friday 20 May 2022 16:06">Friday 20 May 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.7/man/radioactiveheating/index.html b/v0.3.7/man/radioactiveheating/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Radioactive heat · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul 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href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Radioactive heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Radioactive heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/radioactiveheating.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Radioactive-heat"><a class="docs-heading-anchor" href="#Radioactive-heat">Radioactive heat</a><a id="Radioactive-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Radioactive-heat" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Radioactive heat sources are defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat" href="#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)</code></pre><p>Set a constant radioactive heat:</p><p class="math-container">\[    H_r  = cst\]</p><p>where <span>$H_r$</span> is the radioactive heat source [<span>$Watt/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Energy/RadioactiveHeat.jl#L24-L32">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat" href="#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ExpDepthDependent(H_0=1e-6Watt/m^3, h_r=10e3m, z_0=0m)</code></pre><p>Sets an exponential depth-dependent radioactive </p><p class="math-container">\[    H_r  = H_0 \exp \left( {- {(z - z_0) \over h_r}} \right)\]</p><p>where <span>$H_0$</span> is the radioactive heat source [<span>$Watt/m^3$</span>] at <span>$z=z_0$</span> which decays with depth over a characteristic distance <span>$h_r$</span>.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Energy/RadioactiveHeat.jl#L72-L80">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat</code>. 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Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../latentheat/">« Latent heat</a><a class="docs-footer-nextpage" href="../shearheating/">Shear heating »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.17 on <span class="colophon-date" title="Friday 20 May 2022 16:06">Friday 20 May 2022</span>. 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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Seismic Velocity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li class="is-active"><a class="tocitem" href>Seismic Velocity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-velocity-correction-for-partial-melt"><span>Seismic velocity correction for partial melt</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-2"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-2"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-velocity-correction-for-anelasticity"><span>Seismic velocity correction for anelasticity</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-3"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-3"><span>Computational routines</span></a></li></ul></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Seismic Velocity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Seismic Velocity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/seismicvelocity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Seismic-velocity"><a class="docs-heading-anchor" href="#Seismic-velocity">Seismic velocity</a><a id="Seismic-velocity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Seismic velocity can specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity" href="#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)</code></pre><p>Set a constant seismic P and S-wave velocity:</p><p class="math-container">\[    V_p = cst\]</p><p class="math-container">\[    V_s = cst\]</p><p>where <span>$V_p, V_s$</span> are the P-wave and S-wave velocities [<span>$km/s$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/SeismicVelocity/SeismicVelocity.jl#L27-L38">source</a></section></article><p>In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.</p><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To evaluate seismic velocity within a user routine, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity!" href="#GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity!"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_swave_velocity!(Vs_array::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, s::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of S-wave velocity as a function of <code>T,P</code>, in case we are using a lookup table.    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/SeismicVelocity/SeismicVelocity.jl#L121-L125">source</a></section><section><div><pre><code class="nohighlight hljs">compute_swave_velocity!(Vs_array::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of S-wave velocity <code>Vp</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/SeismicVelocity/SeismicVelocity.jl#L158-L164">source</a></section><section><div><pre><code class="nohighlight hljs">compute_swave_velocity!(Vs_array::AbstractArray{&lt;:AbstractFloat,N}, PhaseRatios::AbstractArray{&lt;:AbstractFloat, M}, P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of seismic S-wave velocity <code>Vs</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/SeismicVelocity/SeismicVelocity.jl#L212-L218">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity!" href="#GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity!"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_pwave_velocity!(Vp_array::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, s::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of P-wave velocity as a function of <code>T,P</code>, in case we are using a lookup table.    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/SeismicVelocity/SeismicVelocity.jl#L111-L115">source</a></section><section><div><pre><code class="nohighlight hljs">compute_pwave_velocity!(Vp_array::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of P-wave velocity <code>Vp</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/SeismicVelocity/SeismicVelocity.jl#L133-L139">source</a></section><section><div><pre><code class="nohighlight hljs">compute_pwave_velocity!(Vp_array::AbstractArray{&lt;:AbstractFloat,N}, PhaseRatios::AbstractArray{&lt;:AbstractFloat, M}, P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of seismic P-wave velocity <code>Vp</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/SeismicVelocity/SeismicVelocity.jl#L183-L189">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity" href="#GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_pwave_velocity(P,T, s::PhaseDiagram_LookupTable)</code></pre><p>Interpolates <code>Vp</code> as a function of <code>T,P</code>   </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/SeismicVelocity/SeismicVelocity.jl#L93-L97">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity" href="#GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_swave_velocity(P,T, s::PhaseDiagram_LookupTable)</code></pre><p>Interpolates <code>Vs</code> as a function of <code>T,P</code>   </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/SeismicVelocity/SeismicVelocity.jl#L102-L106">source</a></section></article><h1 id="Seismic-velocity-correction-for-partial-melt"><a class="docs-heading-anchor" href="#Seismic-velocity-correction-for-partial-melt">Seismic velocity correction for partial melt</a><a id="Seismic-velocity-correction-for-partial-melt-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity-correction-for-partial-melt" title="Permalink"></a></h1><h1 id="Methods-2"><a class="docs-heading-anchor" href="#Methods-2">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-2" title="Permalink"></a></h1><p>The routine uses the reduction formulation of Clark et al., (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.</p><h1 id="Computational-routines-2"><a class="docs-heading-anchor" href="#Computational-routines-2">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-2" title="Permalink"></a></h1><p>To compute melt-content based correction for seismic waves velocities, you can use:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.melt_correction" href="#GeoParams.MaterialParameters.SeismicVelocity.melt_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.melt_correction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">    Vp_cor,Vs_cor = melt_correction(  Kb_L, Kb_S, Ks_S, ρL, ρS, Vp0, Vs0, ϕ, α)</code></pre><p>Corrects P- and S-wave velocities if the rock is partially molten. </p><p><strong>Input:</strong></p><ul><li><code>Kb_L</code>: adiabatic bulk modulus of melt</li><li><code>Kb_S</code>: adiabatic bulk modulus of the solid phase</li><li><code>Ks_S</code>: shear modulus of the solid phase</li><li><code>ρL</code>  : density of the melt</li><li><code>ρS</code>  : density of the solid phase</li><li><code>Vp0</code> : initial P-wave velocitiy of the solid phase</li><li><code>Vs0</code> : initial S-wave velocitiy of the solid phase</li><li><code>ϕ</code>   : melt volume fraction</li><li><code>α</code>   : contiguity coefficient defining the geometry of the solid framework (contiguity)         0.0 (layered melt distributed) &lt; 0.1 (grain boundary melt) &lt; 1.0 (melt in separated bubble pockets)</li></ul><p><strong>Output:</strong></p><ul><li><code>Vp_cor,Vs_cor</code> : corrected P-wave and S-wave velocities for melt fraction</li></ul><p>The routine uses the reduction formulation of Clark &amp; Lesher, (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.</p><p><strong>References:</strong></p><ul><li><p>Takei (1998) Constitutive mechanical relations of solid-liquid composites in terms of grain-boundary contiguity, Journal of Geophysical Research: Solid Earth, Vol(103)(B8), 18183–18203</p></li><li><p>Clark &amp; Lesher (2017) Elastic properties of silicate melts: Implications for low velocity zones at the lithosphere-asthenosphere boundary. Science Advances, Vol 3 (12), e1701312</p></li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/SeismicVelocity/SeismicVelocity.jl#L242-L274">source</a></section></article><h1 id="Seismic-velocity-correction-for-anelasticity"><a class="docs-heading-anchor" href="#Seismic-velocity-correction-for-anelasticity">Seismic velocity correction for anelasticity</a><a id="Seismic-velocity-correction-for-anelasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity-correction-for-anelasticity" title="Permalink"></a></h1><h1 id="Methods-3"><a class="docs-heading-anchor" href="#Methods-3">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-3" title="Permalink"></a></h1><p>The routine uses the reduction formulation of karato (1993), using the quality factor formulation from Behn et al. (2009)</p><h1 id="Computational-routines-3"><a class="docs-heading-anchor" href="#Computational-routines-3">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-3" title="Permalink"></a></h1><p>To compute a correction of S-wave velocity for anelasticity, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction" href="#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">    Vs_anel = anelastic_correction(water::Int64, Vs0::Float64,P::Float64,T::Float64)</code></pre><p>This routine computes a correction of S-wave velocity for anelasticity</p><p><strong>Input:</strong></p><ul><li><code>water</code>: water flag, 0 = dry; 1 = dampened; 2 = water saturated </li><li><code>Vs0</code>  : S-wave velocitiy of the solid phase (with or without melt correction)</li><li><code>P</code>    : pressure given in kbar</li><li><code>T</code>    : temperature given in °C</li></ul><p><strong>Output:</strong></p><ul><li><code>Vs_anel</code> : corrected S-wave velocity for anelasticity</li></ul><p>The routine uses the reduction formulation of Karato (1993), using the quality factor formulation from Behn et al. (2009)</p><p><strong>References:</strong></p><ul><li><p>Karato, S. I. (1993). Importance of anelasticity in the interpretation of seismic tomography. Geophysical research letters, 20(15), 1623-1626.</p></li><li><p>Behn, M. D., Hirth, G., &amp; Elsenbeck II, J. R. (2009). Implications of grain size evolution on the seismic structure of the oceanic upper mantle. Earth and Planetary Science Letters, 282(1-4), 178-189.</p></li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/SeismicVelocity/SeismicVelocity.jl#L341-L368">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../phasediagrams/">« Phase Diagrams</a><a class="docs-footer-nextpage" href="../plotting/">Plotting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.17 on <span class="colophon-date" title="Friday 20 May 2022 16:06">Friday 20 May 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Shear heating</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Shear heating</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/shearheating.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Shear-heating"><a class="docs-heading-anchor" href="#Shear-heating">Shear heating</a><a id="Shear-heating-1"></a><a class="docs-heading-anchor-permalink" href="#Shear-heating" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Heat caused by non-recoverable deformation can be specified in </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.ConstantShearheating" href="#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantShearheating(Χ=0.0NoUnits)</code></pre><p>Set the shear heating efficiency [0-1] parameter</p><p class="math-container">\[Χ  = cst\]</p><p>where <span>$\Chi$</span> is the shear heating efficiency [NoUnits]</p><p>Shear heating is computed as</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}(\dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Energy/Shearheating.jl#L22-L36">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">H_s = compute_shearheating(s:&lt;AbstractShearheating, τ, ε, ε_el)</code></pre><p>Computes the shear heating source term</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Energy/Shearheating.jl#L78-L93">source</a></section><section><div><pre><code class="nohighlight hljs">H_s = ComputeShearheating(s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij} \]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Energy/Shearheating.jl#L97-L110">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating!" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_shearheating!(H_s, s:&lt;AbstractShearheating,  τ, ε, ε_el)</code></pre><p>Computes the shear heating source term in-place</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul><p><em>NOTE:</em> The shear heating terms require the full deviatoric stress &amp; strain rate tensors, i.e.:</p><p class="math-container">\[2D: \tau_{ij} = \left(   
+                \begin{matrix}
+                    \tau_{xx} &amp; \tau_{xz} \\
+                    \tau_{zx} &amp; \tau_{zz} 
+                \end{matrix} 
+            \right)\]</p><p>Since <span>$\tau_{zx}=\tau_{xz}$</span>, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used! </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Energy/Shearheating.jl#L114-L141">source</a></section><section><div><pre><code class="nohighlight hljs">compute_shearheating!(H_s, s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term <code>H_s</code> in-place when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij} \]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/Energy/Shearheating.jl#L144-L157">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../radioactiveheating/">« Radioactive heat</a><a class="docs-footer-nextpage" href="../gravity/">Gravity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.17 on <span class="colophon-date" title="Friday 20 May 2022 16:06">Friday 20 May 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Zircon Ages · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" 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class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li class="is-active"><a class="tocitem" href>Zircon Ages</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Zircon Ages</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Zircon Ages</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/master/docs/src/man/zirconages.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Zircon-age-parameterizations"><a class="docs-heading-anchor" href="#Zircon-age-parameterizations">Zircon age parameterizations</a><a id="Zircon-age-parameterizations-1"></a><a class="docs-heading-anchor-permalink" href="#Zircon-age-parameterizations" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Zircons are one of the ways in which we can date the age &amp; activity of magmatic systems.  Here, we provide a computational routine that computes the zircon age distribution from temperature-time paths</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.ZirconAgeData" href="#GeoParams.ZirconAges.ZirconAgeData"><code>GeoParams.ZirconAges.ZirconAgeData</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ZirconAgeData</code></pre><p>Struct that holds default parameters for the calculations</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/ZirconAge/ZirconAges.jl#L26-L30">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>There is one main routine with which you can compute zircon age probability density functions from a range of temperature-ime paths:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.compute_zircon_age_PDF" href="#GeoParams.ZirconAges.compute_zircon_age_PDF"><code>GeoParams.ZirconAges.compute_zircon_age_PDF</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">time_Ma, PDF_zircons, time_Ma_average, PDF_zircon_average, time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time = compute_zircon_age_PDF(time_years_vecs::Vector{Vector}, Tt_paths_Temp_vecs::Vector{Vector}; ZirconData::ZirconAgeData = ZirconAgeData(), bandwidth=bandwidth, n_analyses=300)</code></pre><p>This computes the PDF (probability density function) with zircon age data from Vectors with Tt-paths	</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/ZirconAge/ZirconAges.jl#L293-L298">source</a></section></article><p>This, in turn, calls two other routines:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.compute_zircons_Ttpath" href="#GeoParams.ZirconAges.compute_zircons_Ttpath"><code>GeoParams.ZirconAges.compute_zircons_Ttpath</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">prob, ages_eruptible, number_zircons, T_av_time, T_sd_time  compute_zircons_Ttpath(time_years::AbstractArray{Float64,1}, Tt_paths_Temp::AbstractArray{Float64,2}; ZirconData::ZirconAgeData)</code></pre><p>This computes the number of zircons produced from a series of temperature-time path&#39;s.  The Tt-paths are stored in a 2D matrix <code>Tt_paths_Temp</code> with rows being the temperature at time <code>time_years</code>.</p><p><strong>Input:</strong></p><ul><li><code>time_years</code> : vector of length <code>nt</code> with the time in years (since the beginning of the simulation) of the points provided</li><li><code>Tt_paths_Temp</code> : array of size <code>(nt,npaths)</code>` with the temperature of every path.</li></ul><p>Output:</p><ul><li><code>prob</code> : a vector that gives the relative probability that a zircon with a given age exists</li><li><code>ages_eruptible</code> : age of eruptble magma</li><li><code>number_zircons</code> : 2D array of size <code>(nt,)</code></li><li><code>T_av_time</code>: vector of size <code>nt</code> that contains the average T of the paths</li><li><code>T_sd_time</code>: vector of size <code>nt</code> that contains the standard deviation of the T of the paths</li></ul><p>This routine was developed based on an R-routine provided as electronic supplement in the paper:</p><ul><li>Weber, G., Caricchi, L., Arce, J.L., Schmitt, A.K., 2020. Determining the current size and state of subvolcanic magma reservoirs. Nat Commun 11, 5477. https://doi.org/10.1038/s41467-020-19084-2</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/ZirconAge/ZirconAges.jl#L92-L113">source</a></section><section><div><pre><code class="nohighlight hljs">time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time  = compute_zircons_Ttpath(time_years::Vector{Vector{Float64}}, Tt_paths_Temp::Vector{Vector{Float64}}; ZirconData::ZirconAgeData = ZirconAgeData())</code></pre><p>This accepts Vector{Vector} as input for time and temperature of each Tt-path. Here, the length of the vector can be variable between different points.</p><p>Internally, we interpolate this into a 2D matrix and a longer vector that includes all paths and a single vector with times </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/ZirconAge/ZirconAges.jl#L210-L217">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.zircon_age_PDF" href="#GeoParams.ZirconAges.zircon_age_PDF"><code>GeoParams.ZirconAges.zircon_age_PDF</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">zircon_age_PDF(ages_eruptible::AbstractArray{Float64,1}, number_zircons::AbstractArray{Float64,2}, bandwidth=1e5, n_analyses=300)</code></pre><p>Compute probability density functions for zircon age path&#39;s describes in <code>number_zircons</code> with age <code>ages_eruptible</code> (both computed ). <code>bandwidth</code> is the smoothening window of the resulting curves (in years), whereas <code>n_analyses</code> are the number of analyses done. 	</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/b4c4c1931ed2252923c2d2bdd67298edaae046ff/src/ZirconAge/ZirconAges.jl#L257-L263">source</a></section></article><p>We also provide a plotting routine, provided the <code>Plots</code> package is loaded, which produces figures such as: <img src="../assets/img/ZirconAge_PDF.png" alt="subet3"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../TASclassification/">« TAS classification</a><a class="docs-footer-nextpage" href="../phasediagrams/">Phase Diagrams »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.17 on <span class="colophon-date" title="Friday 20 May 2022 16:06">Friday 20 May 2022</span>. 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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Search · GeoParams.jl</title><script data-outdated-warner src="../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL=".."</script><script 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Melting</a></li><li><a class="tocitem" href="../man/TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../man/zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../man/phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../man/seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../man/plotting/">Plotting</a></li><li><a class="tocitem" href="../man/listfunctions/">List of functions</a></li><li><a class="tocitem" href="../man/contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a 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The interpolation object is directly encoded in the PhaseDiagram_LookupTable` object.  \n\n\n\n\n\n","category":"function"},{"location":"man/phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","page":"Phase Diagrams","title":"GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","text":"Contains data of a Phase Diagram that is regularly spaced in P & T\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#MaterialParameters","page":"Material Parameters","title":"MaterialParameters","text":"","category":"section"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"Material properties for a given phase can be set with SetMaterialParams, whereas all properties are  stored in the MaterialParams structure. Information about the material parameter is found at MaterialParamsInfo. This can be employed ","category":"page"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"MaterialParamsInfo\nSetMaterialParams\nMaterialParams","category":"page"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParamsInfo","text":"MaterialParamsInfo\n\nStructure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.\n\nUsually used in combination with param_info(the_parameter_of_interest)\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.SetMaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.SetMaterialParams","text":"SetMaterialParams(; Name::String=\"\", Phase::Int64=1,\n                    Density             =   nothing, \n                    Gravity             =   nothing,\n                    CreepLaws           =   nothing, \n                    Elasticity          =   nothing, \n                    Plasticity          =   nothing, \n                    Conductivity        =   nothing, \n                    HeatCapacity        =   nothing, \n                    RadioactiveHeat     =   nothing,\n                    LatentHeat          =   nothing,\n                    ShearHeat           =   nothing,\n                    Melting             =   nothing,\n                    SeismicVelocity     =   nothing,\n                    CharDim::GeoUnits   =   nothing)\n\nSets material parameters for a given phase. \n\nIf CharDim is specified the input parameters are non-dimensionalized.   Note that if Density is specified, we also set Gravity even if not explicitly listed\n\nExamples\n\nDefine two viscous creep laws & constant density:\n\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\",\n                       Density   = ConstantDensity(),\n                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))\nPhase 1 : Viscous Matrix\n        | [dimensional units]\n        | \n        |-- Density           : Constant density: ρ=2900 kg m⁻³ \n        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  \n        |                       Linear viscosity: η=1.0e21 Pa s\n\nDefine two viscous creep laws & P/T dependent density and nondimensionalize\n\njulia> CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\", Phase=33,\n                              Density   = PT_Density(),\n                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),\n                              CharDim   = CharUnits_GEO)\nPhase 33: Viscous Matrix\n        | [non-dimensional units]\n        | \n        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0 \n        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18 \n        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001  \n        |                       Linear viscosity: η=10000.0 \n\nYou can also create an array that holds several parameters:\n\njulia> MatParam        =   Array{MaterialParams, 1}(undef, 2);\njulia> Phase           =   1;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Upper Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                            Density  = ConstantDensity(ρ=2900kg/m^3));\njulia> Phase           =   2;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Lower Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),\n                            Density  = PT_Density(ρ0=3000kg/m^3));\njulia> MatParam\n2-element Vector{MaterialParams}:\n Phase 1 : Upper Crust\n    | [dimensional units]\n    | \n    |-- Density           : Constant density: ρ=2900 kg m⁻³ \n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  \n    |                       Linear viscosity: η=1.0e23 Pa s \n                            \n Phase 2 : Lower Crust\n    | [dimensional units]\n    | \n    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa \n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹  \n    |                       Linear viscosity: η=1.0e21 Pa s \n\n\n\n\n\n","category":"function"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParams","text":"MaterialParams\n\nStructure that holds all material parameters for a given phase\n\n\n\n\n\n","category":"type"},{"location":"man/contributing/#Contributing","page":"Contributing","title":"Contributing","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"You can contribute for example by adding new creep laws or by adding new constitutive relationships. If you invest a bit of time now, it will save others in the community a lot of time! The simplest way to do this is by cloning the repository, and creating a new branch for your feature. Once you are happy with what you added (and after you added a test to ensure that it will keep working with future changes), create a pull request and we will evaluate & merge it.","category":"page"},{"location":"man/contributing/#Style-Guide","page":"Contributing","title":"Style Guide","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Follow the style of the surrounding text when making changes. When adding new features please try to stick to the following points whenever applicable.","category":"page"},{"location":"man/contributing/#Julia","page":"Contributing","title":"Julia","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"4-space indentation;\nmodules spanning entire files should not be indented, but modules that have surrounding code should;\nno blank lines at the start or end of files;\ndo not manually align syntax such as = or :: over adjacent lines;\nuse function ... end when a method definition contains more than one toplevel expression;\nrelated short-form method definitions don't need a new line between them;\nunrelated or long-form method definitions must have a blank line separating each one;\nsurround all binary operators with whitespace except for ::, ^, and :;\nfiles containing a single module ... end must be named after the module;\nmethod arguments should be ordered based on the amount of usage within the method body;\nmethods extended from other modules must follow their inherited argument order, not the above rule;\nexplicit return should be preferred except in short-form method definitions;\navoid dense expressions where possible e.g. prefer nested ifs over complex nested ?s;\ninclude a trailing , in vectors, tuples, or method calls that span several lines;\ndo not use multiline comments (#= and =#);\nwrap long lines as near to 92 characters as possible, this includes docstrings;\nfollow the standard naming conventions used in Base.","category":"page"},{"location":"man/contributing/#Markdown","page":"Contributing","title":"Markdown","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Use unbalanced # headers, i.e. no # on the right hand side of the header text;\ninclude a single blank line between toplevel blocks;\nunordered lists must use * bullets with two preceding spaces;\ndo not hard wrap lines;\nuse emphasis (*) and bold (**) sparingly;\nalways use fenced code blocks instead of indented blocks;\nfollow the conventions outlined in the Julia documentation page on documentation.","category":"page"},{"location":"man/latentheat/#Latent-heat","page":"Latent heat","title":"Latent heat","text":"","category":"section"},{"location":"man/latentheat/#Methods","page":"Latent heat","title":"Methods","text":"","category":"section"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"Latent heat (of crystallisation) is defined as ","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","category":"page"},{"location":"man/latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","page":"Latent heat","title":"GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","text":"ConstantLatentHeat(Q_L=400kJ/kg)\n\nSet a constant latent heat:\n\n    Q_L  = cst\n\nwhere Q_L is the latent heat [kJkg].\n\n\n\n\n\n","category":"type"},{"location":"man/latentheat/#Computational-routines","page":"Latent heat","title":"Computational routines","text":"","category":"section"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"To compute, use this:","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"GeoParams.MaterialParameters.LatentHeat.compute_latent_heat","category":"page"},{"location":"man/zirconages/#Zircon-age-parameterizations","page":"Zircon Ages","title":"Zircon age parameterizations","text":"","category":"section"},{"location":"man/zirconages/#Methods","page":"Zircon Ages","title":"Methods","text":"","category":"section"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"Zircons are one of the ways in which we can date the age & activity of magmatic systems.  Here, we provide a computational routine that computes the zircon age distribution from temperature-time paths","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.ZirconAgeData","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.ZirconAgeData","page":"Zircon Ages","title":"GeoParams.ZirconAges.ZirconAgeData","text":"ZirconAgeData\n\nStruct that holds default parameters for the calculations\n\n\n\n\n\n","category":"type"},{"location":"man/zirconages/#Computational-routines","page":"Zircon Ages","title":"Computational routines","text":"","category":"section"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"There is one main routine with which you can compute zircon age probability density functions from a range of temperature-ime paths:","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.compute_zircon_age_PDF","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.compute_zircon_age_PDF","page":"Zircon Ages","title":"GeoParams.ZirconAges.compute_zircon_age_PDF","text":"time_Ma, PDF_zircons, time_Ma_average, PDF_zircon_average, time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time = compute_zircon_age_PDF(time_years_vecs::Vector{Vector}, Tt_paths_Temp_vecs::Vector{Vector}; ZirconData::ZirconAgeData = ZirconAgeData(), bandwidth=bandwidth, n_analyses=300)\n\nThis computes the PDF (probability density function) with zircon age data from Vectors with Tt-paths\t\n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"This, in turn, calls two other routines:","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.compute_zircons_Ttpath\nGeoParams.zircon_age_PDF","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.compute_zircons_Ttpath","page":"Zircon Ages","title":"GeoParams.ZirconAges.compute_zircons_Ttpath","text":"prob, ages_eruptible, number_zircons, T_av_time, T_sd_time  compute_zircons_Ttpath(time_years::AbstractArray{Float64,1}, Tt_paths_Temp::AbstractArray{Float64,2}; ZirconData::ZirconAgeData)\n\nThis computes the number of zircons produced from a series of temperature-time path's.  The Tt-paths are stored in a 2D matrix Tt_paths_Temp with rows being the temperature at time time_years.\n\nInput:\n\ntime_years : vector of length nt with the time in years (since the beginning of the simulation) of the points provided\nTt_paths_Temp : array of size (nt,npaths)` with the temperature of every path.\n\nOutput:\n\nprob : a vector that gives the relative probability that a zircon with a given age exists\nages_eruptible : age of eruptble magma\nnumber_zircons : 2D array of size (nt,)\nT_av_time: vector of size nt that contains the average T of the paths\nT_sd_time: vector of size nt that contains the standard deviation of the T of the paths\n\nThis routine was developed based on an R-routine provided as electronic supplement in the paper:\n\nWeber, G., Caricchi, L., Arce, J.L., Schmitt, A.K., 2020. Determining the current size and state of subvolcanic magma reservoirs. Nat Commun 11, 5477. https://doi.org/10.1038/s41467-020-19084-2\n\n\n\n\n\ntime_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time  = compute_zircons_Ttpath(time_years::Vector{Vector{Float64}}, Tt_paths_Temp::Vector{Vector{Float64}}; ZirconData::ZirconAgeData = ZirconAgeData())\n\nThis accepts Vector{Vector} as input for time and temperature of each Tt-path. Here, the length of the vector can be variable between different points.\n\nInternally, we interpolate this into a 2D matrix and a longer vector that includes all paths and a single vector with times \n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/#GeoParams.ZirconAges.zircon_age_PDF","page":"Zircon Ages","title":"GeoParams.ZirconAges.zircon_age_PDF","text":"zircon_age_PDF(ages_eruptible::AbstractArray{Float64,1}, number_zircons::AbstractArray{Float64,2}, bandwidth=1e5, n_analyses=300)\n\nCompute probability density functions for zircon age path's describes in number_zircons with age ages_eruptible (both computed ). bandwidth is the smoothening window of the resulting curves (in years), whereas n_analyses are the number of analyses done. \t\n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"We also provide a plotting routine, provided the Plots package is loaded, which produces figures such as: (Image: subet3)","category":"page"},{"location":"man/TASclassification/#TAS-rock-classification","page":"TAS classification","title":"TAS rock classification","text":"","category":"section"},{"location":"man/TASclassification/#Methods","page":"TAS classification","title":"Methods","text":"","category":"section"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"When doing coupled petrological-geodynamic modelling, the evolution of the composition of the magma is more easily understood when a rock type is given. This routine is an implementation of the TAS diagram (Total Alkali (TA) vs Silica (S)) from Le Maitre et al., 2002.","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.TASclassificationData","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.TASclassificationData","page":"TAS classification","title":"GeoParams.TASclassification.TASclassificationData","text":"TASclassificationData\n\nStruct that holds default parameters for the TAS diagram\n\n\n\n\n\n","category":"type"},{"location":"man/TASclassification/#Computational-routine","page":"TAS classification","title":"Computational routine","text":"","category":"section"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"There is one routine with which you can retrieve the index of the TAS rock-type. The routine receives as an input a compositional vector [SiO2,Na2O+K2O] in wt% and sends back an index [1-15].","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.computeTASclassification","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.computeTASclassification","page":"TAS classification","title":"GeoParams.TASclassification.computeTASclassification","text":"classIndex computeTASclassification(chemComp::AbstractArray{_T,N}, ClassTASdata::TASclassificationData)\n\nThis compute the classification of the igneous rock using TAS diagram (Total Alkali (TA) vs Silica (S)).\n\nInput:\n\nchemComp : vector rock composition in oxide wt%\n\nOutput:\n\nclassIndex : an integer [0-14] corresponding to a TAS field (TASclassificationData.litho[classIndex])\n\nThis routine was developed based the TAS classification of Le Maitre et al., 2002\n\n\n\n\n\n","category":"function"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"Using the index of the rock-type you can get the name of the corresponding volcanic rock using the following routine.","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.retrieveTASrockType","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.retrieveTASrockType","page":"TAS classification","title":"GeoParams.TASclassification.retrieveTASrockType","text":"retrieveTASrockType(index::Int64; ClassTASdata::TASclassificationData = TASclassificationData())\n\nThis retrieves the name of the volcanic rock-type using the computed index\n\nInput:\n\nindex : integer [1-15]\n\nOutput:\n\nlitho : a string of the name of corresponding volcanic rock\n\n\n\n\n\n","category":"function"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"We also provide a plotting routine, provided the Plots package is loaded, which produces figures such as: (Image: subet3)","category":"page"},{"location":"man/radioactiveheating/#Radioactive-heat","page":"Radioactive heat","title":"Radioactive heat","text":"","category":"section"},{"location":"man/radioactiveheating/#Methods","page":"Radioactive heat","title":"Methods","text":"","category":"section"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"Radioactive heat sources are defined as ","category":"page"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat\nGeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat\n","category":"page"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","text":"ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)\n\nSet a constant radioactive heat:\n\n    H_r  = cst\n\nwhere H_r is the radioactive heat source [Wattm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat","text":"ExpDepthDependent(H_0=1e-6Watt/m^3, h_r=10e3m, z_0=0m)\n\nSets an exponential depth-dependent radioactive \n\n    H_r  = H_0 exp left( - (z - z_0) over h_r right)\n\nwhere H_0 is the radioactive heat source [Wattm^3] at z=z_0 which decays with depth over a characteristic distance h_r.\n\n\n\n\n\n","category":"type"},{"location":"man/radioactiveheating/#Computational-routines","page":"Radioactive heat","title":"Computational routines","text":"","category":"section"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"To compute, use this:","category":"page"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat\nGeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat!","category":"page"},{"location":"man/listfunctions/#List-of-all-functions","page":"List of functions","title":"List of all functions","text":"","category":"section"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity","page":"Seismic Velocity","title":"Seismic velocity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"Seismic velocity can specified in a number of ways","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","text":"ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)\n\nSet a constant seismic P and S-wave velocity:\n\n    V_p = cst\n\n    V_s = cst\n\nwhere V_p V_s are the P-wave and S-wave velocities [kms].\n\n\n\n\n\n","category":"type"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.","category":"page"},{"location":"man/seismicvelocity/#Computational-routines","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To evaluate seismic velocity within a user routine, use this:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.compute_swave_velocity!\nGeoParams.compute_pwave_velocity!\nGeoParams.compute_pwave_velocity\nGeoParams.compute_swave_velocity","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity!","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity!","text":"compute_swave_velocity!(Vs_array::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, s::PhaseDiagram_LookupTable)\n\nIn-place computation of S-wave velocity as a function of T,P, in case we are using a lookup table.    \n\n\n\n\n\ncompute_swave_velocity!(Vs_array::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of S-wave velocity Vp for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n\n\n\n\ncompute_swave_velocity!(Vs_array::AbstractArray{<:AbstractFloat,N}, PhaseRatios::AbstractArray{<:AbstractFloat, M}, P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of seismic S-wave velocity Vs for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity!","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity!","text":"compute_pwave_velocity!(Vp_array::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, s::PhaseDiagram_LookupTable)\n\nIn-place computation of P-wave velocity as a function of T,P, in case we are using a lookup table.    \n\n\n\n\n\ncompute_pwave_velocity!(Vp_array::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of P-wave velocity Vp for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n\n\n\n\ncompute_pwave_velocity!(Vp_array::AbstractArray{<:AbstractFloat,N}, PhaseRatios::AbstractArray{<:AbstractFloat, M}, P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of seismic P-wave velocity Vp for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity","text":"compute_pwave_velocity(P,T, s::PhaseDiagram_LookupTable)\n\nInterpolates Vp as a function of T,P   \n\n\n\n\n\n","category":"function"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity","text":"compute_swave_velocity(P,T, s::PhaseDiagram_LookupTable)\n\nInterpolates Vs as a function of T,P   \n\n\n\n\n\n","category":"function"},{"location":"man/seismicvelocity/#Seismic-velocity-correction-for-partial-melt","page":"Seismic Velocity","title":"Seismic velocity correction for partial melt","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-2","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"The routine uses the reduction formulation of Clark et al., (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-2","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute melt-content based correction for seismic waves velocities, you can use:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.melt_correction","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.melt_correction","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.melt_correction","text":"    Vp_cor,Vs_cor = melt_correction(  Kb_L, Kb_S, Ks_S, ρL, ρS, Vp0, Vs0, ϕ, α)\n\nCorrects P- and S-wave velocities if the rock is partially molten. \n\nInput:\n\nKb_L: adiabatic bulk modulus of melt\nKb_S: adiabatic bulk modulus of the solid phase\nKs_S: shear modulus of the solid phase\nρL  : density of the melt\nρS  : density of the solid phase\nVp0 : initial P-wave velocitiy of the solid phase\nVs0 : initial S-wave velocitiy of the solid phase\nϕ   : melt volume fraction\nα   : contiguity coefficient defining the geometry of the solid framework (contiguity)         0.0 (layered melt distributed) < 0.1 (grain boundary melt) < 1.0 (melt in separated bubble pockets)\n\nOutput:\n\nVp_cor,Vs_cor : corrected P-wave and S-wave velocities for melt fraction\n\nThe routine uses the reduction formulation of Clark & Lesher, (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.\n\nReferences:\n\nTakei (1998) Constitutive mechanical relations of solid-liquid composites in terms of grain-boundary contiguity, Journal of Geophysical Research: Solid Earth, Vol(103)(B8), 18183–18203\nClark & Lesher (2017) Elastic properties of silicate melts: Implications for low velocity zones at the lithosphere-asthenosphere boundary. Science Advances, Vol 3 (12), e1701312\n\n\n\n\n\n","category":"function"},{"location":"man/seismicvelocity/#Seismic-velocity-correction-for-anelasticity","page":"Seismic Velocity","title":"Seismic velocity correction for anelasticity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-3","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"The routine uses the reduction formulation of karato (1993), using the quality factor formulation from Behn et al. (2009)","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-3","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute a correction of S-wave velocity for anelasticity, use this:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.anelastic_correction","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction","text":"    Vs_anel = anelastic_correction(water::Int64, Vs0::Float64,P::Float64,T::Float64)\n\nThis routine computes a correction of S-wave velocity for anelasticity\n\nInput:\n\nwater: water flag, 0 = dry; 1 = dampened; 2 = water saturated \nVs0  : S-wave velocitiy of the solid phase (with or without melt correction)\nP    : pressure given in kbar\nT    : temperature given in °C\n\nOutput:\n\nVs_anel : corrected S-wave velocity for anelasticity\n\nThe routine uses the reduction formulation of Karato (1993), using the quality factor formulation from Behn et al. (2009)\n\nReferences:\n\nKarato, S. I. (1993). Importance of anelasticity in the interpretation of seismic tomography. Geophysical research letters, 20(15), 1623-1626.\nBehn, M. D., Hirth, G., & Elsenbeck II, J. R. (2009). Implications of grain size evolution on the seismic structure of the oceanic upper mantle. Earth and Planetary Science Letters, 282(1-4), 178-189.\n\n\n\n\n\n","category":"function"},{"location":"man/plasticity/#Plasticity","page":"Plasticity","title":"Plasticity","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"Plasticity is a non;linear rheology bthat is actrivated once stresses exceed a certain yield criteria.","category":"page"},{"location":"man/plasticity/#Implemented-laws","page":"Plasticity","title":"Implemented  laws","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"The following plastic law are implemented:","category":"page"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"GeoParams.MaterialParameters.Plasticity.DruckerPrager","category":"page"},{"location":"man/plasticity/#GeoParams.MaterialParameters.Plasticity.DruckerPrager","page":"Plasticity","title":"GeoParams.MaterialParameters.Plasticity.DruckerPrager","text":"DruckerPrager(ϕ=30, Ψ=0, C=10e6Pa)\n\nSets parameters for Drucker-Prager plasticity, where the yield stress sigma_y is computed by\n\n    sigma_y = (P-P_f)tan(ϕ) + C\n\nwith phi being the friction angle (in degrees), C cohesion, P dynamic pressure and P_f the fluid pressure (both positive under compression).  \n\nYielding occurs when the second invariant of the deviatoric stress tensor, tau_II=(05tau_ijtau_ij)^05 touches the yield stress.  This can be computed with the yield function F and the plastic flow potential Q, which are respectively given by \n\n    F = tau_II - cos(ϕ)C - sin(ϕ)(P-P_f)\n\n    Q = tau_II - sin(Ψ)(P-P_f) \n\nHere, Ψ is the dilation angle, which must be zero for incompressible setups.\n\nPlasticity is activated when F(tau_II^trial) (the yield function computed with a trial stress) is >0. In that case, plastic strainrate dotvarepsilon^pl_ij is computed by:\n\n    dotvarepsilon^pl_ij =dotlambda partial Q over partial sigma_ij\n\nwhere dotlambda is a (scalar) that is nonzero and chosen such that the resuling stress gives F(tau_II^final)=0, and sigma_ij=-P + tau_ij denotes the total stress tensor.   \n\n\n\n\n\n","category":"type"},{"location":"man/plasticity/#Computational-routines","page":"Plasticity","title":"Computational routines","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"Once a plastic rheology is defined, we can use the following routines to perform computations within the solvers","category":"page"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"GeoParams.MaterialParameters.Plasticity.compute_yieldfunction\nGeoParams.MaterialParameters.Plasticity.compute_yieldfunction!","category":"page"},{"location":"man/plasticity/#GeoParams.MaterialParameters.Plasticity.compute_yieldfunction","page":"Plasticity","title":"GeoParams.MaterialParameters.Plasticity.compute_yieldfunction","text":"compute_yieldfunction(s::DruckerPrager; P, τII_old, Pf, kwargs...)\n\nComputes the plastic yield function F for a given second invariant of the deviatoric stress tensor τII,  P the pressure, and Pf fluid pressure.\n\n\n\n\n\n","category":"function"},{"location":"man/plasticity/#GeoParams.MaterialParameters.Plasticity.compute_yieldfunction!","page":"Plasticity","title":"GeoParams.MaterialParameters.Plasticity.compute_yieldfunction!","text":"compute_yieldfunction!(F::AbstractArray{_T,N}, s::DruckerPrager{_T}; P::AbstractArray{_T,N}, τII::AbstractArray{_T,N}, Pf=zero(P)::AbstractArray{_T,N}, kwargs...)\n\nComputes the plastic yield function F for Drucker-Prager plasticity in an in-place manner. Required input arrays are pressure P and the second invariant of the deviatoric stress tensor τII at every point.  You can optionally provide an array with fluid pressure Pf as well. \n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#Plotting","page":"Plotting","title":"Plotting","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"We provide a number of plotting routines. Note that these plotting routines only become available once the Plots package is loaded.","category":"page"},{"location":"man/plotting/#Plot-CreepLaws","page":"Plotting","title":"Plot CreepLaws","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"GeoParams.PlotStressStrainrate_CreepLaw\nGeoParams.PlotHeatCapacity\nGeoParams.PlotConductivity\nGeoParams.PlotMeltFraction\nGeoParams.PlotPhaseDiagram","category":"page"},{"location":"man/plotting/#GeoParams.PlotStressStrainrate_CreepLaw","page":"Plotting","title":"GeoParams.PlotStressStrainrate_CreepLaw","text":"PlotStressStrainrate_CreepLaw(x::AbstractCreepLaw; p::CreepLawParams=nothing, Strainrate=(1e-18,1e-12), CreatePlot::Bool=false)\n\nPlots deviatoric stress versus deviatoric strain rate for a single creeplaw.      Note: if you want to create plots or use the CreatePlot=true option you need to install the Plots.jl package in julia     which is not added as a dependency here (as it is a rather large dependency).\n\nExample 1\n\njulia> x=LinearViscous()\nLinear viscosity: η=1.0e20 Pa s\njulia> Tau_II, Eps_II,  = PlotStressStrainrate_CreepLaw(x);\n\nNext you can plot this with\n\njulia> using Plots;\njulia> plot(ustrip(Eps_II),ustrip(Tau_II), xaxis=:log, yaxis=:log,xlabel=\"strain rate [1/s]\",ylabel=\"Dev. Stress [MPa]\")\n\nNote that ustrip removes the units of the arrays, as many of the plotting packages don't know how to deal with that.\n\nYou could also have done:\n\njulia> using Plots;\njulia> Tau_II, Eps_II, pl = PlotStressStrainrate_CreepLaw(x,CreatePlot=true);\n\nwhich will generate the following plot (Image: subet1)\n\nThe plot can be customized as \n\njulia> plot(pl, title=\"Linear viscosity\", linecolor=:red)\n\nSee the Plots.jl package for more options.\n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#GeoParams.PlotHeatCapacity","page":"Plotting","title":"GeoParams.PlotHeatCapacity","text":"T,Cp,plt = PlotHeatCapacity(cp::AbstractHeatCapacity; T=nothing, plt=nothing, lbl=nothing)\n\nCreates a plot of temperature T vs. heat capacity, as specified in cp (which can be temperature-dependent).\n\nOptional parameters\n\nT: temperature range\nplt: a previously generated plotting object\nlbl: label of the curve\n\nExample\n\njulia> cp = T_HeatCapacity_Whittacker()\njulia> T,Cp,plt = PlotHeatCapacity(cp)\n\nyou can now save the figure to disk with:\n\njulia> using Plots\njulia> savefig(plt,\"Tdependent_heatcapacity.png\")\n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#GeoParams.PlotConductivity","page":"Plotting","title":"GeoParams.PlotConductivity","text":"T,Kk,plt = PlotConductivity(cp::AbstractConductivity; T=nothing, plt=nothing, lbl=nothing)\n\nCreates a plot of temperature T vs. thermal conductivity, as specified in k (which can be temperature-dependent).\n\nOptional parameters\n\nT: temperature range\nplt: a previously generated plotting object\nlbl: label of the curve\n\nExample\n\njulia> k = T_Conductivity_Whittacker()\njulia> T,KK,plt = PlotConductivity(k)\n\nyou can now save the figure to disk with:\n\njulia> using Plots\njulia> savefig(plt,\"Tdependent_conductivity.png\")\n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#GeoParams.PlotPhaseDiagram","page":"Plotting","title":"GeoParams.PlotPhaseDiagram","text":"plt, data, Tvec, Pvec = PlotPhaseDiagram(p::PhaseDiagram_LookupTable; fieldname::Symbol, Tvec=nothing, Pvec=nothing)\n\nPlots a phase diagram as a function of T (x-axis) and P (y-axis). We either use the default ranges of the diagram, or you can specify the temperature and pressure ranges (while specifying units). The return arguments are the plotting object plt (so you can modify properties) as well as the data that is being plotted\n\nExample\n\njulia> PD_data =  Read_LaMEM_Perple_X_Diagram(\"Peridotite.in\")\nPerple_X/LaMEM Phase Diagram Lookup Table: \n                      File    :   Peridotite.in\n                      T       :   293.0 - 1573.000039\n                      P       :   1.0e7 - 2.9999999944e9\n                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp\n                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs\n                                  :Vp, :Vs, :VpVs, :cpxFrac\njulia> PlotPhaseDiagram(PD_data,:meltFrac, Tvec=(100:1:1400).*C, Pvec=(.1:.1:30).*kbar )\n\nThis will generate the following plot (Image: subet2)\n\nYou can also use the default pressure/temperature ranges in the diagrams:\n\njulia> PlotPhaseDiagram(PD_data,:Rho)\n\n\n\n\n\n","category":"function"},{"location":"man/geounit/#GeoUnit","page":"GeoUnit","title":"GeoUnit","text":"","category":"section"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Most parameters have physical units (100km, 9.81 ms⁻²). Yet, within numerical solvers it is usually not a good idea to compute with the actual SI units as they (at least in geosciences) tend to result in very large/small numbers, which can cause in roundoff errors.  Therefore, we usually convert the dimensional units into non-dimensional ones befeore starting computations. The results can than be converted back to more convenient units for us when we generate the output (plots, for example).","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"This requires a wauy to store the dimensions of a parameter, but also, once they are made nondimensional, the original units (otherwise we can't convert them back to dimensional values).","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"For that reason, we use the GeoUnit structure, defined as ","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"struct GeoUnit{T,U}\n    val          :: T\n    unit         :: U\n    isdimensional:: Bool\nend","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"You can define a GeoUnit as:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> a = GeoUnit(100km)\nGeoUnit{dimensional, km}, \n100.0\njulia> b=GeoUnit(100s)\nGeoUnit{dimensional, s}, \n100.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Dividing the two gives the expected result","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> c=a/b\nGeoUnit{dimensional, km s⁻¹·⁰}, \n1.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Can also be a vector:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> T = GeoUnit(100K:10.0K:1000K)\nGeoUnit{dimensional, K}, \n100.0:10.0:1000.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"The numerical value is obtained with:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> NumValue(c)\n1.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"It's unit with","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> Unit(c)\nkm s⁻¹·⁰","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"and the value with unit with","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> Value(c)\n1.0 km s⁻¹·⁰","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"If you multiply or divide a GeoUnit with a normal number, we assume that you are no longer interested in the units and you'll get a Float64:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> c*100\n100.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"The value of the GeoUnit struct becomes clear once we non-dimensionalize it (as explained in more detail in a separate page). For that, first specify which characteristic values you want to use for non-dimensionalisation: ","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> CharDim = GEO_units(length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas);","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Let's define a stress:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> σ=GeoUnit(10MPa)\nGeoUnit{dimensional, MPa}, \n10.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"And transfer it to nondimensional units:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> σ_nd = nondimensionalize(σ,CharDim)\nGeoUnit{nondimensional, MPa}, \n0.9999999999999998","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Instead of 1e7 Pa, we now have 1.0; yet at the same time we know that the original unit of σ_nd was in MPa, which allows to transfer it back to dimensional units:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> dimensionalize(σ_nd,CharDim)\nGeoUnit{dimensional, MPa}, \n10.0","category":"page"},{"location":"man/creeplaws/#CreepLaws","page":"Creep laws","title":"CreepLaws","text":"","category":"section"},{"location":"man/creeplaws/#Implemented-creep-laws","page":"Creep laws","title":"Implemented creep laws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"The following viscous creep laws are implemented:","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"GeoParams.MaterialParameters.CreepLaw.LinearViscous\nGeoParams.MaterialParameters.CreepLaw.PowerlawViscous\nGeoParams.MaterialParameters.CreepLaw.DislocationCreep\nGeoParams.MaterialParameters.CreepLaw.SetDislocationCreep","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.CreepLaw.LinearViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.CreepLaw.LinearViscous","text":"LinearViscous(η=1e20Pa*s)\n\nDefines a linear viscous creeplaw \n\nThe (isotopic) linear viscous rheology is given by  \n\n    tau_ij = 2 eta dotvarepsilon_ij \n\nor\n\n    dotvarepsilon_ij  = tau_ij  over 2 eta \n\nwhere eta_0 is the reference viscosity [Pa*s] at reference strain rate dotvarepsilon_0[1/s], and n the power law exponent []. \n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.CreepLaw.PowerlawViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.CreepLaw.PowerlawViscous","text":"PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)\n\nDefines a power law viscous creeplaw as: \n\n    tau_ij^n  = 2 eta_0 left( dotvarepsilon_ij over dotvarepsilon_0 right)\n\nwhere eta is the effective viscosity [Pa*s].\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.CreepLaw.DislocationCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.CreepLaw.DislocationCreep","text":"DislocationCreep(n = 1.0NoUnits, r = 0.00.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )\n\nDefines the flow law parameter of a dislocation creep law  The (isotropic) dislocation creep law, as used by experimtalists, is given by  \n\n     dotgamma = A sigma_mathrmd^n f_mathrmH2O^r exp(-fracE+PVRT)\n\nwhere n is the power law exponent,   r is the exponent of fugacity dependence,  A is a pre-exponential factor MPa^(n+r),   E is the activation energy [kJ/mol], V is the activation volume [m^3/mol]. dotgamma is the ordinary strain rate [1/s],  and sigma_mathrmd is the differential stress which are converted into second invariants using the apparatus type that can be either AxialCompression, SimpleShear or Invariant. If the flow law paramters are already given as a function of second invariants, choose apparatus = \"Invariant\"\n\njulia> x2      =   DislocationCreep(n=3)\nDislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.CreepLaw.SetDislocationCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.CreepLaw.SetDislocationCreep","text":"SetDislocationCreep[\"Name of Dislocation Creep\"]\n\nThis is a dictionary with pre-defined creep laws    \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#Computational-routines-for-creep-laws","page":"Creep laws","title":"Computational routines for creep laws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"Once a creep rheology is defined, we can use the following routines to perform computations within the solvers","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"CreepLawVariables\nGeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII\nGeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII","page":"Creep laws","title":"GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII","text":"computeCreepLaw_EpsII(TauII, s:<AbstractCreepLaw, p::CreepLawVariables)\n\nReturns the strainrate invariant dotvarepsilon_II for a given deviatoric stress  invariant tau_II for any of the viscous creep laws implemented. p is a struct that can hold various parameters (such as P, T) that the creep law may need for the calculations \n\n    dotvarepsilon_II   = f( tau_II ) \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII","page":"Creep laws","title":"GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII","text":"computeCreepLaw_TauII(EpsII, s:<AbstractCreepLaw, p::CreepLawVariables)\n\nReturns the deviatoric stress invariant tau_II for a given strain rate   invariant dotvarepsilon_II for any of the viscous creep laws implemented. p is a struct that can hold various parameters (such as P, T) that the creep law may need for the calculations \n\n    tau_II  = f( dotvarepsilon_II ) \n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#Heat-capacity","page":"Heat Capacity","title":"Heat capacity","text":"","category":"section"},{"location":"man/heatcapacity/#Methods","page":"Heat Capacity","title":"Methods","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"Heat capacity is defined as ","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity\nGeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","text":"ConstantHeatCapacity(cp=1050J/mol/kg)\n\nSet a constant heat capacity:\n\n    cp  = cst\n\nwhere cp is the thermal heat capacity [JkgK].\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","text":"T_HeatCapacity_Whittington()\n\nSets a temperature-dependent heat capacity following the parameterization of Whittington et al. (2009), Nature:\n\n    Cp = (a + b T - cT^2)m \n\nwhere Cp is the heat capacity [JkgK], and abc are parameters that dependent on the temperature T:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nmolmass =   0.22178kg/mol \n\nNote that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than JmolK as in eq.3/4 of the paper)\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#Computational-routines","page":"Heat Capacity","title":"Computational routines","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"To compute, use this:","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity\nGeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","text":"Cp = compute_heatcapacity(s:<AbstractHeatCapacity, P, T)\n\nReturns the heat capacity Cp at any temperature T and pressure P using any of the heat capacity laws implemented.\n\nCurrently available:\n\nConstantHeatCapacity\nT_HeatCapacity_Whittington\n\nExample\n\nUsing dimensional units\n\njulia> T  = (250:100:1250)*K;\njulia> cp = T_HeatCapacity_Whittington()\njulia> Cp = ComputeHeatCapacity(0,T,cp)\n11-element Vector{Unitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:\n  635.4269997294616 J kg⁻¹ K⁻¹\n  850.7470171764261 J kg⁻¹ K⁻¹\n  962.0959598489883 J kg⁻¹ K⁻¹\n 1037.5420433770641 J kg⁻¹ K⁻¹\n 1097.3517921966488 J kg⁻¹ K⁻¹\n 1149.2745563671706 J kg⁻¹ K⁻¹\n 1157.7915050948404 J kg⁻¹ K⁻¹\n 1172.3554874197264 J kg⁻¹ K⁻¹\n 1186.9194697445964 J kg⁻¹ K⁻¹\n  1201.483452069455 J kg⁻¹ K⁻¹\n 1216.0474343943067 J kg⁻¹ K⁻¹\n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","text":"compute_heatcapacity!(cp_array::AbstractArray{_T, N},s::T_HeatCapacity_Whittington{_T}, T::_T=zero(_T), P::_T=zero(_T)) where {_T,N}\n\nComputes T-dependent heat capacity in-place    \n\n\n\n\n\ncompute_heatcapacity!(Cp::AbstractArray{_T, N}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct, 1}, PhaseRatios::AbstractArray{_T, M}, P::AbstractArray{_T, N},T::AbstractArray{_T, N})\n\nIn-place computation of heat capacity Cp for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#Melting-Parameterizations","page":"Partial Melting","title":"Melting Parameterizations","text":"","category":"section"},{"location":"man/melting/#Methods","page":"Partial Melting","title":"Methods","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"A number of melting parameterisations are implemented, which can be set with:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.MeltingParam_Caricchi\nGeoParams.MeltingParam.MeltingParam_5thOrder\nGeoParams.MeltingParam.MeltingParam_4thOrder\nGeoParams.MeltingParam.MeltingParam_Quadratic\nGeoParams.MeltingParam.MeltingParam_Assimilation\nGeoParams.MeltingParam.SmoothMelting","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Caricchi","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Caricchi","text":"MeltingParam_Caricchi()\n\nImplements the T-dependent melting parameterisation used by Caricchi, Simpson et al. (as for example described in Simpson) \n\n    theta = (a - (T + c)) over b \n\n    phi_melt = 10 over (10 + e^theta)\n\nNote that T is in Kelvin. As default parameters we employ:\n\nb=23K  a=800K  c=27315K\n\nWhich gives a reasonable fit to experimental data of granodioritic composition (Piwinskii and Wyllie, 1968):\n\n(Image: MeltParam_Carrichi)\n\nReferences\n\nSimpson G. (2017) Practical finite element modelling in Earth Sciences Using MATLAB.\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_5thOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_5thOrder","text":"MeltingParam_5thOrder(a,b,c,d,e,f,T_s,T_l)\n\nUses a 5th order polynomial to describe the melt fraction phi between solidus temperature T_s and liquidus temperature T_l\n\n    phi = a T^5 + b T^4 + c T^3 + d T^2 + e T + f  textrm   for    T_s  T  T_l\n\n    phi = 1  textrm   if    TT_l\n\n    phi = 0  textrm   if    TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_5thOrder)\n\nThe default values are for a composite liquid-line-of-descent:\n\nthe upper part is for Andesite from: (Blatter, D. L. & Carmichael, I. S. (2001) Hydrous phase equilibria of a Mexican highsilica andesite: a candidate for a mantle origin? Geochim. Cosmochim. Acta 65, 4043–4065\nthe lower part is extrapolated to the granitic minimum using the Marxer & Ulmer LLD for Andesite (Marxer, F. & Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. Contributions Mineral. Petrol. 174, 84)\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_4thOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_4thOrder","text":"MeltingParam_4thOrder(b,c,d,e,f,T_s,T_l)\n\nUses a 4th order polynomial to describe the melt fraction phi between solidus temperature T_s and liquidus temperature T_l\n\n    phi = b T^4 + c T^3 + d T^2 + e T + f  textrm   for    T_s  T  T_l\n\n    phi = 1 textrm   if    TT_l\n\n    phi = 0  textrm   if    TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_4thOrder)\n\nThe default values are for Tonalite experiments from Marxer and Ulmer (2019):\n\nMarxer, F. & Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. Contributions Mineral. Petrol. 174, 84\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Quadratic","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Quadratic","text":"MeltingParam_Quadratic(T_s,T_l)\n\nQuadratic melt fraction parameterisation where melt fraction phi depends only on solidus (T_s) and liquidus (T_l) temperature:\n\n    phi = 10 - left( T_l - T over T_l - T_s right)^2\n\n    phi = 10 textrm if  TT_l \n\n    phi = 00 textrm if  TT_s \n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_Quadratic)\n\nThis was used, among others, in Tierney et al. (2016) Geology\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Assimilation","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Assimilation","text":"MeltingParam_Assimilation(T_s,T_l,a)\n\nMelt fraction parameterisation that takes the assimilation of crustal host rocks into account, as used by Tierney et al. (2016) based upon a parameterisation of Spera and Bohrson (2001)\n\nHere, the fraction of molten and assimilated host rocks phi depends on the solidus (T_s) and liquidus (T_l) temperatures of the rocks, as well as on a parameter a=0005\n\n    X = left( T - T_s over T_l - T_s right)\n\n    phi = a cdot left( exp^2ln(100)X - 10 right) textrm if  X  05\n\n    phi = 1- a cdot exp^2ln(100)(1-X)  textrm if  X  05\n\n    phi = 10 textrm if  TT_l \n\n    phi = 00 textrm if  TT_s \n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_Assimilation)\n\nThis was used, among others, in Tierney et al. (2016), who employed as default parameters:\n\n   T_s=97315 T_l=117315 a=0005\n\nReferences\n\nSpera, F.J., and Bohrson, W.A., 2001, Energy-Constrained Open-System Magmatic Processes I: General Model and Energy-Constrained Assimilation and Fractional Crystallization (EC- AFC) Formulation: Journal of Petrology, v. 42, p. 999–1018.\nTierney, C.R., Schmitt, A.K., Lovera, O.M., de Silva, S.L., 2016. Voluminous plutonism during volcanic quiescence revealed by thermochemical modeling of zircon. Geology 44, 683–686. https://doi.org/10.1130/G37968.1\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.SmoothMelting","page":"Partial Melting","title":"GeoParams.MeltingParam.SmoothMelting","text":"SmoothMelting(; p=MeltingParam_4thOrder(), k_sol=0.2/K,  k_liq=0.2/K)\n\nThis smoothens the melting parameterisation p around the solidus T_sol and liquidus T_liq using a smoothened Heaviside step functions for the solidus:\n\n    H_sol =  10 over  1 + exp( -2 k_sol (T - T_sol - 2 over k_sol) )  \n\nand liquidus:        \n\n    H_liq =  10 - 10 over  1 + exp( -2 k_liq (T - T_liq + 2 over k_liq) )  \n\nThe resulting melt fraction phi is computed from the original melt fraction phi_0 (computed using one of the methods above) as:\n\n    phi =  phi_0 H_sol H_liq + 10 - H_liq\n\nThe width of the smoothening zones is controlled by k_sol k_liq (larger values = sharper boundary).\n\nThis is important, as jumps in the derivative dϕdT can cause numerical instabilities in latent heat computations, which is prevented with this smoothening.\n\nExample\n\nLet's consider a 4th order parameterisation:\n\njulia> using GeoParams, Plots\njulia> p = MeltingParam_4thOrder();\njulia> T= collect(650.0:1:1050.) .+ 273.15;\njulia> T,phi,dϕdT =  PlotMeltFraction(p,T=T);\n\nThe same but with smoothening:\n\njulia> p_s = SmoothMelting(p=MeltingParam_4thOrder(), k_liq=0.21/K);\n4th order polynomial melting curve: phi = -7.594512597174117e-10T^4 + 3.469192091489447e-6T^3 + -0.00592352980926T^2 + 4.482855645604745T + -1268.730161921053  963.15 K ≤ T ≤ 1270.15 K with smooth Heaviside function smoothening using k_sol=0.1 K⁻¹·⁰, k_liq=0.11 K⁻¹·⁰\njulia> T_s,phi_s,dϕdT_s =  PlotMeltFraction(p_s,T=T);\n\nWe can create plots of this with:\n\njulia> plt1 = plot(T.-273.15, phi, ylabel=\"Melt Fraction ϕ\", color=:red, label=\"original\", xlabel=\"Temperature [C]\")\njulia> plt1 = plot(plt1, T.-273.15, phi_s,  color=:black, label=\"smoothened\", legend=:bottomright)\njulia> plt2 = plot(T.-273.15, dϕdT, ylabel=\"dϕ/dT\", color=:red, label=\"original\", xlabel=\"Temperature [C]\")\njulia> plt2 = plot(plt2, T.-273.15, dϕdT_s,  color=:black, label=\"smoothened\", legend=:topright)\njulia> plot!(plt1,plt2,   xlabel=\"Temperature [C]\", layout=(2,1))\n\nThe derivative no longer has a jump now:\n\n(Image: MeltingParam_Smooth)\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#Computational-routines","page":"Partial Melting","title":"Computational routines","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"To compute the melt fraction at given T and P, use:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.compute_meltfraction!\nGeoParams.MeltingParam.compute_meltfraction","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction!","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction!","text":"compute_meltfraction!(ϕ::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T:AbstractArray{<:AbstractFloat}, p::PhaseDiagram_LookupTable)\n\nIn-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified.\n\n\n\n\n\ncompute_meltfraction(ϕ::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction","text":"compute_meltfraction(P,T, p::AbstractPhaseDiagramsStruct)\n\nComputes melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified.\n\n\n\n\n\nϕ = compute_meltfraction(Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"You can also obtain the derivative of melt fraction versus temperature with (useful to compute latent heat effects):","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.compute_dϕdT!\nGeoParams.MeltingParam.compute_dϕdT","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.compute_dϕdT!","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_dϕdT!","text":"compute_dϕdT!(dϕdT::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T:AbstractArray{<:AbstractFloat}, p::PhaseDiagram_LookupTable)\n\nIn-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified. The derivative is computed by finite differencing.\n\n\n\n\n\ncompute_dϕdT!(ϕ::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputates the derivative of melt fraction ϕ versus temperature T, partial phi over partial T for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays. This is employed, for example, in computing latent heat terms in an implicit manner.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#GeoParams.MeltingParam.compute_dϕdT","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_dϕdT","text":"compute_dϕdT(P,T, p::AbstractPhaseDiagramsStruct)\n\nComputes derivative of melt fraction vs T in case we use a phase diagram lookup table. The table should have the column :meltFrac specified. The derivative is computed by finite differencing.\n\n\n\n\n\nϕ = compute_dϕdT(Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputates the derivative of melt fraction ϕ versus temperature T for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays. This is employed in computing latent heat terms in an implicit manner, for example\n\n\n\n\n\n","category":"function"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"Also note that phase diagrams can be imported using PerpleX_LaMEM_Diagram, which may also have melt content information.  The computational routines work with that as well.","category":"page"},{"location":"man/melting/#Plotting-routines","page":"Partial Melting","title":"Plotting routines","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"You can use the routine PlotMeltFraction to create a plot, provided that the Plots package has been loaded","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.PlotMeltFraction","category":"page"},{"location":"man/melting/#GeoParams.PlotMeltFraction","page":"Partial Melting","title":"GeoParams.PlotMeltFraction","text":"T,phi,plt = PlotMeltFraction(p::AbstractMeltingParam; T=nothing, plt=nothing, lbl=nothing)\n\nCreates a plot of temperature T vs. melt fraction, as specified in p.  The 1D curve can be evaluated at a specific pressure P which can be given as a scalar or as an array of the same size as T\n\nOptional parameters\n\nT: temperature range\nP: pressure \nplt: a previously generated plotting object\nlbl: label of the curve\n\nExample\n\njulia> p          =  MeltingParam_Caricchi()\njulia> T,phi,dϕdT =  PlotMeltFraction(p)\n\nyou can now save the figure to disk with:\n\njulia> using Plots\njulia> savefig(plt,\"MeltFraction.png\")\n\n\n\n\n\n","category":"function"},{"location":"man/elasticity/#Elasticity","page":"Elasticity","title":"Elasticity","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"Elasticity is, in geodynamics, often used in combination with viscous and plastic rheology.","category":"page"},{"location":"man/elasticity/#Implemented-laws","page":"Elasticity","title":"Implemented laws","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"We provide the following elastic constitutive relationships:","category":"page"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"GeoParams.MaterialParameters.Elasticity.ConstantElasticity","category":"page"},{"location":"man/elasticity/#GeoParams.MaterialParameters.Elasticity.ConstantElasticity","page":"Elasticity","title":"GeoParams.MaterialParameters.Elasticity.ConstantElasticity","text":"ConstantElasticity(G, ν, K, E)\n\nStructure that holds parameters for constant, isotropic, linear elasticity.\n\n\n\n\n\n","category":"type"},{"location":"man/elasticity/#Computational-routines","page":"Elasticity","title":"Computational routines","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"We can compute the elastic strainrate with:","category":"page"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate\nGeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate!","category":"page"},{"location":"man/elasticity/#GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate","page":"Elasticity","title":"GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate","text":"compute_elastic_shear_strainrate(s::ConstantElasticity{_T}; τII, τII_old, dt)\n\nComputes elastic strainrate given the deviatoric stress at the current (τII) and old timestep (τII_old), for a timestep dt:\n\n    dotvarepsilon^el = 1 over 2 G D tau_II over Dt   1 over 2 G tau_II- tildetau_II^old over dt \n\nNote that we here solve the scalar equation, which is sufficient for isotropic cases. In tensor form, it would be\n\n    dotvarepsilon^el_ij = 1 over 2 G  tau_ij - tildetau_ij^old over dt \n\nhere tildetau_ij^old is the rotated old deviatoric stress tensor to ensure objectivity (this can be done with Jaumann derivative, or also by using the full rotational formula).\n\n\n\n\n\n","category":"function"},{"location":"man/elasticity/#GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate!","page":"Elasticity","title":"GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate!","text":"compute_elastic_shear_strainrate!(ε_el::AbstractArray{_T,N}, s::ConstantElasticity{_T}; τII::AbstractArray{_T,N}, τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)\n\nIn-place computation of the elastic shear strainrate for given deviatoric stress invariants at the previous (τII_old) and new (τII) timestep, as well as the timestep dt  \n\n    dotvarepsilon^el = 1 over 2 G D tau_II over Dt   1 over 2 G tau_II- tau_II^old over dt \n\n\n\n\n\n","category":"function"},{"location":"man/shearheating/#Shear-heating","page":"Shear heating","title":"Shear heating","text":"","category":"section"},{"location":"man/shearheating/#Methods","page":"Shear heating","title":"Methods","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"Heat caused by non-recoverable deformation can be specified in ","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","text":"ConstantShearheating(Χ=0.0NoUnits)\n\nSet the shear heating efficiency [0-1] parameter\n\nΧ  = cst\n\nwhere Chi is the shear heating efficiency [NoUnits]\n\nShear heating is computed as\n\nH_s = Chi cdot tau_ij(dotvarepsilon_ij - dotvarepsilon^el_ij)\n\n\n\n\n\n","category":"type"},{"location":"man/shearheating/#Computational-routines","page":"Shear heating","title":"Computational routines","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"To compute, use this:","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.compute_shearheating\nGeoParams.MaterialParameters.Shearheating.compute_shearheating!","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating","text":"H_s = compute_shearheating(s:<AbstractShearheating, τ, ε, ε_el)\n\nComputes the shear heating source term\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\n\n\n\n\nH_s = ComputeShearheating(s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij \n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating!","text":"compute_shearheating!(H_s, s:<AbstractShearheating,  τ, ε, ε_el)\n\nComputes the shear heating source term in-place\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\nNOTE: The shear heating terms require the full deviatoric stress & strain rate tensors, i.e.:\n\n2D tau_ij = left(   \n                beginmatrix\n                    tau_xx  tau_xz \n                    tau_zx  tau_zz \n                endmatrix \n            right)\n\nSince tau_zx=tau_xz, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used! \n\n\n\n\n\ncompute_shearheating!(H_s, s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term H_s in-place when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij \n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#Nondimensionalization","page":"Nondimensionalization","title":"Nondimensionalization","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between GEO, SI or NO units:","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"SI units assume all input and output is in SI units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).\nGEO units uses SI units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as Myrs,km or MPa\nNO units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that velocity is given in m/s).","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"A dimensional parameter can be transformed into a non-dimensional one with nondimensionalize.","category":"page"},{"location":"man/nondimensionalize/#Specify-characteristic-values","page":"Nondimensionalization","title":"Specify characteristic values","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Characteristic values can be defined in 3 ways.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"GeoParams.Units\nAbstractGeoUnit\nGeoUnit\nGeoUnits\nGEO_units\nSI_units\nNO_units\n@unpack_val\n@unpack_units","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units","page":"Nondimensionalization","title":"GeoParams.Units","text":"This provides units and creates a non-dimensionalization object\n\n\n\n\n\n","category":"module"},{"location":"man/nondimensionalize/#GeoParams.Units.AbstractGeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.AbstractGeoUnit","text":"AbstractGeoUnit\n\nAbstract supertype for geo units.\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnit","text":"Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.\n\nHaving that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.\nWith the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnits","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnits","text":"GeoUnits\n\nStructure that holds parameters used for non-dimensionalization\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GEO_units","page":"Nondimensionalization","title":"GeoParams.Units.GEO_units","text":"GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)\n\nCreates a non-dimensionalization object using GEO units.\n\nGEO units implies that upon dimensionalization, time will be in Myrs, length in km, stress in MPa, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (km or m), provided the unit is specified.\n\nExamples:\n\njulia> CharUnits = GEO_units()\nEmploying GEO units \nCharacteristic values: \n         length:      1000 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\njulia> CharUnits.velocity\n1.0e-7 m s⁻¹\n\nIf we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic length:\n\njulia> CharUnits = GEO_units(length=10km)\nEmploying GEO units \nCharacteristic values: \n         length:      10 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.SI_units","page":"Nondimensionalization","title":"GeoParams.Units.SI_units","text":"CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)\n\nSpecify the characteristic values using SI units \n\nExamples:\n\njulia> CharUnits = SI_units(length=1000m)\nEmploying SI units \nCharacteristic values: \n         length:      1000 m\n         time:        1.0e19 s\n         stress:      10 Pa\n         temperature: 1000.0 K\n\nNote that the same can be achieved if the input is given in km:\n\njulia> CharUnits = SI_units(length=1km)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.NO_units","page":"Nondimensionalization","title":"GeoParams.Units.NO_units","text":"CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)\n\nSpecify the characteristic values in non-dimensional units\n\nExamples:\n\njulia> using GeoParams;\njulia> CharUnits = NO_units()\nEmploying NONE units \nCharacteristic values: \n         length:      1\n         time:        1.0 \n         stress:      1\n         temperature: 1.0\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_val","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_val","text":"This unpacks the numerical value of `GeoUnit` in a structure, without the units.\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_val ρ,α = r\njulia> α\n4.0e-5\njulia> typeof(α)\nFloat64\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_units","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_units","text":"This unpacks the numerical value with units of `GeoUnit` parameters in a structure\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_units ρ,α = r\njulia> α\n4.0e-5 K⁻¹·⁰\njulia> typeof(α)\nQuantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#(Non)-dimensionalize-parameters","page":"Nondimensionalization","title":"(Non)-dimensionalize parameters","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"nondimensionalize\ndimensionalize\nisDimensional","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units.nondimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.nondimensionalize","text":"nondimensionalize(param, CharUnits::GeoUnits{TYPE})\n\nNondimensionalizes param using the characteristic values specified in CharUnits\n\nExample 1\n\njulia> using GeoParams;\njulia> CharUnits =   GEO_units();\njulia> v         =   3cm/yr\n3 cm yr⁻¹ \njulia> v_ND      =   nondimensionalize(v, CharUnits) \n0.009506426344208684\n\nExample 2\n\nIn geodynamics one sometimes encounters more funky units\n\njulia> CharUnits =   GEO_units();\njulia> A         =   6.3e-2MPa^-3.05*s^-1\n0.063 MPa⁻³·⁰⁵ s⁻¹\njulia> A_ND      =   nondimensionalize(A, CharUnits) \n7.068716262102384e14\n\nIn case you are interested to see how the units of A look like in different units, use this function from the Unitful package:\n\njulia> uconvert(u\"Pa^-3.05*s^-1\",A) \n3.157479571851836e-20 Pa⁻³·⁰⁵\n\nand to see it decomposed in the basic SI units of length, mass and time:\n\njulia> upreferred(A)\n3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵\n\n\n\n\n\nMatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nNon-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\nnondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nnondimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.dimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.dimensionalize","text":"dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes param into the dimensions param_dim using the characteristic values specified in CharUnits.  \n\nExample\n\njulia> CharUnits =   GEO_units();\njulia> v_ND      =   nondimensionalize(3cm/yr, CharUnits) \n0.031688087814028945\njulia> v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) \n3.0 cm yr⁻¹\n\n\n\n\n\ndimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\nDimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nDimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.isDimensional","page":"Nondimensionalization","title":"GeoParams.Units.isDimensional","text":"isDimensional(MatParam::AbstractMaterialParam)\n\ntrue if MatParam is in dimensional units.    \n\n\n\n\n\n","category":"function"},{"location":"man/density/#Density","page":"Density","title":"Density","text":"","category":"section"},{"location":"man/density/#Methods","page":"Density","title":"Methods","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"The density equation of state can be specified in a number of ways","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.ConstantDensity\nGeoParams.MaterialParameters.Density.PT_Density\nGeoParams.MaterialParameters.Density.Compressible_Density","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.ConstantDensity","page":"Density","title":"GeoParams.MaterialParameters.Density.ConstantDensity","text":"ConstantDensity(ρ=2900kg/m^3)\n\nSet a constant density:\n\n    rho  = cst\n\nwhere rho is the density [kgm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.PT_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.PT_Density","text":"PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)\n\nSet a pressure and temperature-dependent density:\n\n    rho  = rho_0 (10 - alpha (T-T_0) + beta  (P-P_0) )  \n\nwhere rho_0 is the density [kgm^3] at reference temperature T_0 and pressure P_0, alpha is the temperature dependence of density and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.Compressible_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.Compressible_Density","text":"Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)\n\nSet a pressure-dependent density:\n\n    rho  = rho_0 exp(β*(P - P_0))  \n\nwhere rho_0 is the density [kgm^3] at reference pressure P_0 and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#Computational-routines","page":"Density","title":"Computational routines","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"To evaluate density within a user routine, use this:","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.compute_density\nGeoParams.MaterialParameters.Density.compute_density!","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density","text":"compute_density(P,T, s::PhaseDiagram_LookupTable)\n\nInterpolates density as a function of T,P from a lookup table  \n\n\n\n\n\n","category":"function"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density!","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density!","text":"compute_density!(rho::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, s::PhaseDiagram_LookupTable)\n\nIn-place computation of density as a function of T,P, in case we are using a lookup table.    \n\n\n\n\n\ncompute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I<:Integer}\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\nExample\n\njulia> MatParam = (SetMaterialParams(Name=\"Mantle\", Phase=1,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                        Density   = PT_Density()\n                        ),\n                    SetMaterialParams(Name=\"Crust\", Phase=2,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),\n                        Density   = ConstantDensity(ρ=2900kg/m^3))\n                  );\njulia> Phases = ones(Int64,400,400);\njulia> Phases[:,20:end] .= 2\njulia> rho     = zeros(size(Phases))\njulia> T       =  ones(size(Phases))\njulia> P       =  ones(size(Phases))*10\njulia> compute_density!(rho, MatParam, Phases, P, T)\njulia> rho\n400×400 Matrix{Float64}:\n2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮                            \n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n\nThe routine is made to minimize allocations:\n\njulia> using BenchmarkTools\njulia> @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)\n    203.468 μs (0 allocations: 0 bytes)\n\n_____________________________________________________________________________________________________________________________   \n\ncompute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/density/","page":"Density","title":"Density","text":"Note that density values are usually not used in itself in the governing PDE's, but usually in combination with other parameters, such as rho g or rho c_p. the non-dimensional value of rho may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.","category":"page"},{"location":"man/gravity/#Gravitational-acceleration","page":"Gravity","title":"Gravitational acceleration","text":"","category":"section"},{"location":"man/gravity/#Methods","page":"Gravity","title":"Methods","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"Gravitational acceleration is defined as ","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","text":"GravityConstant(g=9.81m/s^2)\n\nSet a constant value for the gravitational acceleration:\n\n    g  = 981 m s^-2\n\n\n\n\n\n","category":"type"},{"location":"man/gravity/#Computational-routines","page":"Gravity","title":"Computational routines","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"To compute, use this:","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","text":"compute_gravity(s:<AbstractGravity)\n\nReturns the gravitational acceleration \n\n\n\n\n\n","category":"function"},{"location":"#GeoParams.jl","page":"Home","title":"GeoParams.jl","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:","category":"page"},{"location":"","page":"Home","title":"Home","text":"Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).\nMaterial parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. ","category":"page"},{"location":"","page":"Home","title":"Home","text":"We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).","category":"page"},{"location":"man/conductivity/#Conductivity","page":"Conductivity","title":"Conductivity","text":"","category":"section"},{"location":"man/conductivity/#Methods","page":"Conductivity","title":"Methods","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"Thermal conductivity is defined as ","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity\nGeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington\nGeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised\nGeoParams.MaterialParameters.Conductivity.TP_Conductivity\nGeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity","text":"ConstantConductivity(k=3.0W/m/K)\n\nSet a constant conductivity\n\n    k  = cst\n\nwhere k is the thermal conductivity [WmK].\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington","text":"T_Conductivity_Whittington()\n\nSets a temperature-dependent conductivity following the parameterization of Whittington, A.G., Hofmeister, A.M., Nabelek, P.I., 2009. Temperature-dependent thermal diffusivity of the Earth’s crust and implications for magmatism. Nature 458, 319–321. https://doi.org/10.1038/nature07818.  Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us to compute \n\n    Cp = a + b T - cT^2 \n\n    kappa = dT - e textrm if  T=846K\n\n    kappa = f - g*T textrm if  T846K\n\n    rho = 2700 kgm^3\n\n    k = kappa rho Cp\n\nwhere Cp is the heat capacity [JmolK], and abc are parameters that dependent on the temperature T:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nd = 576.3m^2/s*K      \ne = 0.062m^2/s        \nf = 0.732m^2/s        \ng = 0.000135m^2/s/K \n\nThis looks like:\n\n(Image: subet1)\n\nExample\n\njulia> using GeoParams, Plots\njulia> p=T_Conductivity_Whittington();\njulia> T,k,plt = PlotConductivity(p)\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised","text":"T_Conductivity_Whittington_parameterised()\n\nSets a temperature-dependent conductivity that is  parameterization after Whittington, et al.  2009 \n\nThe original parameterization involves quite a few parameters; this is a polynomial fit that is roughly valid from 0-1000Celcius\n\n    k WmK = -2 10^-9 (T-Ts)^3 + 6 10^-6 (T-Ts)^2 - 00062 (T-Ts) + 4\n\n    Ts = 27315 K\n\nwhere T[K] is the temperature in Kelvin (or the nondimensional equivalent of it).\n\nThe comparison of this parameterisation vs. the original one is: (Image: subet1)\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.TP_Conductivity","text":"TP_Conductivity()\n\nSets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for  \n\n    k = left( a_k +  b_k over T + c_k right) (1 + d_k P) \n\nwhere k is the conductivity [WKm], and a_kb_kc_kd_k are parameters that dependent on the temperature T and pressure P:\n\na_k = 1.18Watt/K/m    \nb_k = 474Watt/m \nc_k = 77K       \nd_k = 0/MPa       \n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","text":"Set_TP_Conductivity[\"Name of temperature(-pressure) dependent conductivity\"]\n\nThis is a dictionary with pre-defined laws:\n\n\"UpperCrust\"    \n\"LowerCrust\"\n\"OceanicCrust\"\n\"Mantle\"\n\nExample\n\njulia> k=Set_TP_Conductivity[\"Mantle\"]\nT/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)  \n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#Computational-routines","page":"Conductivity","title":"Computational routines","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"To compute, use this:","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.compute_conductivity\nGeoParams.MaterialParameters.Conductivity.compute_conductivity!","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity","text":"k = compute_conductivity(P, T, s:<AbstractConductivity)\n\nReturns the thermal conductivity k at any temperature T and pressure P using any of the parameterizations implemented.\n\nCurrently available:\n\nConstantConductivity\nT_Conductivity_Whittington\nTP_Conductivity\n\nExample\n\nUsing dimensional units\n\njulia> T  = (250:100:1250)*K;\njulia> cp = T_HeatCapacity_Whittington()\njulia> Cp = ComputeHeatCapacity(0,T,cp)\n\n\n\n\n\ncompute_conductivity!(K::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},Temp::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of conductivity K for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and Temp arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n_________________________________________________________________________________________________________\n\ncompute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity!","text":"compute_conductivity!(k_array::AbstractArray{<:AbstractFloat,N},P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, s::T_Conductivity_Whittington) where N\n\nIn-place routine to compute temperature-dependent conductivity    \n\n\n\n\n\ncompute_conductivity!(k::AbstractArray{_T,N}, s::T_Conductivity_Whittington_parameterised{_T}, P::AbstractArray{_T,N}, T::AbstractArray{_T,N})\n\nIn-place routine to compute temperature-dependent conductivity    \n\n\n\n\n\n","category":"function"}]
+}
diff --git a/v0.3.7/siteinfo.js b/v0.3.7/siteinfo.js
new file mode 100644
index 000000000..74e3ea526
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diff --git a/v0.3.8/assets/documenter.js b/v0.3.8/assets/documenter.js
new file mode 100644
index 000000000..4fb3baaf5
--- /dev/null
+++ b/v0.3.8/assets/documenter.js
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+
+    button.addEventListener("click", function () {
+      copyToClipboard(el.innerText).then(success, failure);
+
+      setTimeout(function () {
+        button.classList.add("fa-copy");
+        button.classList.remove("success", "fa-check", "fa-times");
+      }, 5000);
+    });
+  }
+}
+
+function copyToClipboard(text) {
+  // clipboard API is only available in secure contexts
+  if (window.navigator && window.navigator.clipboard) {
+    return window.navigator.clipboard.writeText(text);
+  } else {
+    return new Promise(function (resolve, reject) {
+      try {
+        const el = document.createElement("textarea");
+        el.textContent = text;
+        el.style.position = "fixed";
+        el.style.opacity = 0;
+        document.body.appendChild(el);
+        el.select();
+        document.execCommand("copy");
+
+        resolve();
+      } catch (err) {
+        reject(err);
+      } finally {
+        document.body.removeChild(el);
+      }
+    });
+  }
+}
+
+if (document.readyState === "loading") {
+  document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks);
+} else {
+  addCopyButtonCallbacks();
+}
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) {
+
+// Manages the top navigation bar (hides it when the user starts scrolling down on the
+// mobile).
+window.Headroom = Headroom; // work around buggy module loading?
+$(document).ready(function() {
+  $('#documenter .docs-navbar').headroom({
+    "tolerance": {"up": 10, "down": 10},
+  });
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// Modal settings dialog
+$(document).ready(function() {
+  var settings = $('#documenter-settings');
+  $('#documenter-settings-button').click(function(){
+    settings.toggleClass('is-active');
+  });
+  // Close the dialog if X is clicked
+  $('#documenter-settings button.delete').click(function(){
+    settings.removeClass('is-active');
+  });
+  // Close dialog if ESC is pressed
+  $(document).keyup(function(e) {
+    if (e.keyCode == 27) settings.removeClass('is-active');
+  });
+});
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// Manages the showing and hiding of the sidebar.
+$(document).ready(function() {
+  var sidebar = $("#documenter > .docs-sidebar");
+  var sidebar_button = $("#documenter-sidebar-button")
+  sidebar_button.click(function(ev) {
+    ev.preventDefault();
+    sidebar.toggleClass('visible');
+    if (sidebar.hasClass('visible')) {
+      // Makes sure that the current menu item is visible in the sidebar.
+      $("#documenter .docs-menu a.is-active").focus();
+    }
+  });
+  $("#documenter > .docs-main").bind('click', function(ev) {
+    if ($(ev.target).is(sidebar_button)) {
+      return;
+    }
+    if (sidebar.hasClass('visible')) {
+      sidebar.removeClass('visible');
+    }
+  });
+})
+
+// Resizes the package name / sitename in the sidebar if it is too wide.
+// Inspired by: https://github.com/davatron5000/FitText.js
+$(document).ready(function() {
+  e = $("#documenter .docs-autofit");
+  function resize() {
+    var L = parseInt(e.css('max-width'), 10);
+    var L0 = e.width();
+    if(L0 > L) {
+      var h0 = parseInt(e.css('font-size'), 10);
+      e.css('font-size', L * h0 / L0);
+      // TODO: make sure it survives resizes?
+    }
+  }
+  // call once and then register events
+  resize();
+  $(window).resize(resize);
+  $(window).on('orientationchange', resize);
+});
+
+// Scroll the navigation bar to the currently selected menu item
+$(document).ready(function() {
+  var sidebar = $("#documenter .docs-menu").get(0);
+  var active = $("#documenter .docs-menu .is-active").get(0);
+  if(typeof active !== 'undefined') {
+    sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15;
+  }
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+function set_theme(theme) {
+  var active = null;
+  var disabled = [];
+  for (var i = 0; i < document.styleSheets.length; i++) {
+    var ss = document.styleSheets[i];
+    var themename = ss.ownerNode.getAttribute("data-theme-name");
+    if(themename === null) continue; // ignore non-theme stylesheets
+    // Find the active theme
+    if(themename === theme) active = ss;
+    else disabled.push(ss);
+  }
+  if(active !== null) {
+    active.disabled = false;
+    if(active.ownerNode.getAttribute("data-theme-primary") === null) {
+      document.getElementsByTagName('html')[0].className = "theme--" + theme;
+    } else {
+      document.getElementsByTagName('html')[0].className = "";
+    }
+    disabled.forEach(function(ss){
+      ss.disabled = true;
+    });
+  }
+
+  // Store the theme in localStorage
+  if(typeof(window.localStorage) !== "undefined") {
+    window.localStorage.setItem("documenter-theme", theme);
+  } else {
+    console.error("Browser does not support window.localStorage");
+  }
+}
+
+// Theme picker setup
+$(document).ready(function() {
+  // onchange callback
+  $('#documenter-themepicker').change(function themepick_callback(ev){
+    var themename = $('#documenter-themepicker option:selected').attr('value');
+    set_theme(themename);
+  });
+
+  // Make sure that the themepicker displays the correct theme when the theme is retrieved
+  // from localStorage
+  if(typeof(window.localStorage) !== "undefined") {
+    var theme =  window.localStorage.getItem("documenter-theme");
+    if(theme !== null) {
+      $('#documenter-themepicker option').each(function(i,e) {
+        e.selected = (e.value === theme);
+      })
+    } else {
+      $('#documenter-themepicker option').each(function(i,e) {
+        e.selected = $("html").hasClass(`theme--${e.value}`);
+      })
+    }
+  }
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// update the version selector with info from the siteinfo.js and ../versions.js files
+$(document).ready(function() {
+  // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the
+  // siteinfo.js file, we just return immediately and not display the version selector.
+  if (typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === 'boolean' && DOCUMENTER_VERSION_SELECTOR_DISABLED) {
+    return;
+  }
+
+  var version_selector = $("#documenter .docs-version-selector");
+  var version_selector_select = $("#documenter .docs-version-selector select");
+
+  version_selector_select.change(function(x) {
+    target_href = version_selector_select.children("option:selected").get(0).value;
+    window.location.href = target_href;
+  });
+
+  // add the current version to the selector based on siteinfo.js, but only if the selector is empty
+  if (typeof DOCUMENTER_CURRENT_VERSION !== 'undefined' && $('#version-selector > option').length == 0) {
+    var option = $("<option value='#' selected='selected'>" + DOCUMENTER_CURRENT_VERSION + "</option>");
+    version_selector_select.append(option);
+  }
+
+  if (typeof DOC_VERSIONS !== 'undefined') {
+    var existing_versions = version_selector_select.children("option");
+    var existing_versions_texts = existing_versions.map(function(i,x){return x.text});
+    DOC_VERSIONS.forEach(function(each) {
+      var version_url = documenterBaseURL + "/../" + each;
+      var existing_id = $.inArray(each, existing_versions_texts);
+      // if not already in the version selector, add it as a new option,
+      // otherwise update the old option with the URL and enable it
+      if (existing_id == -1) {
+        var option = $("<option value='" + version_url + "'>" + each + "</option>");
+        version_selector_select.append(option);
+      } else {
+        var option = existing_versions[existing_id];
+        option.value = version_url;
+        option.disabled = false;
+      }
+    });
+  }
+
+  // only show the version selector if the selector has been populated
+  if (version_selector_select.children("option").length > 0) {
+    version_selector.toggleClass("visible");
+  }
+})
+
+})
diff --git a/v0.3.8/assets/search.js b/v0.3.8/assets/search.js
new file mode 100644
index 000000000..c133f7410
--- /dev/null
+++ b/v0.3.8/assets/search.js
@@ -0,0 +1,267 @@
+// Generated by Documenter.jl
+requirejs.config({
+  paths: {
+    'lunr': 'https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min',
+    'lodash': 'https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.21/lodash.min',
+    'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min',
+  }
+});
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'lunr', 'lodash'], function($, lunr, _) {
+
+$(document).ready(function() {
+  // parseUri 1.2.2
+  // (c) Steven Levithan <stevenlevithan.com>
+  // MIT License
+  function parseUri (str) {
+    var  o   = parseUri.options,
+      m   = o.parser[o.strictMode ? "strict" : "loose"].exec(str),
+      uri = {},
+      i   = 14;
+
+    while (i--) uri[o.key[i]] = m[i] || "";
+
+    uri[o.q.name] = {};
+    uri[o.key[12]].replace(o.q.parser, function ($0, $1, $2) {
+      if ($1) uri[o.q.name][$1] = $2;
+    });
+
+    return uri;
+  };
+  parseUri.options = {
+    strictMode: false,
+    key: ["source","protocol","authority","userInfo","user","password","host","port","relative","path","directory","file","query","anchor"],
+    q:   {
+      name:   "queryKey",
+      parser: /(?:^|&)([^&=]*)=?([^&]*)/g
+    },
+    parser: {
+      strict: /^(?:([^:\/?#]+):)?(?:\/\/((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?))?((((?:[^?#\/]*\/)*)([^?#]*))(?:\?([^#]*))?(?:#(.*))?)/,
+      loose:  /^(?:(?![^:@]+:[^:@\/]*@)([^:\/?#.]+):)?(?:\/\/)?((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?)(((\/(?:[^?#](?![^?#\/]*\.[^?#\/.]+(?:[?#]|$)))*\/?)?([^?#\/]*))(?:\?([^#]*))?(?:#(.*))?)/
+    }
+  };
+
+  $("#search-form").submit(function(e) {
+    e.preventDefault()
+  })
+
+  // list below is the lunr 2.1.3 list minus the intersect with names(Base)
+  // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with)
+  // ideally we'd just filter the original list but it's not available as a variable
+  lunr.stopWordFilter = lunr.generateStopWordFilter([
+    'a',
+    'able',
+    'about',
+    'across',
+    'after',
+    'almost',
+    'also',
+    'am',
+    'among',
+    'an',
+    'and',
+    'are',
+    'as',
+    'at',
+    'be',
+    'because',
+    'been',
+    'but',
+    'by',
+    'can',
+    'cannot',
+    'could',
+    'dear',
+    'did',
+    'does',
+    'either',
+    'ever',
+    'every',
+    'from',
+    'got',
+    'had',
+    'has',
+    'have',
+    'he',
+    'her',
+    'hers',
+    'him',
+    'his',
+    'how',
+    'however',
+    'i',
+    'if',
+    'into',
+    'it',
+    'its',
+    'just',
+    'least',
+    'like',
+    'likely',
+    'may',
+    'me',
+    'might',
+    'most',
+    'must',
+    'my',
+    'neither',
+    'no',
+    'nor',
+    'not',
+    'of',
+    'off',
+    'often',
+    'on',
+    'or',
+    'other',
+    'our',
+    'own',
+    'rather',
+    'said',
+    'say',
+    'says',
+    'she',
+    'should',
+    'since',
+    'so',
+    'some',
+    'than',
+    'that',
+    'the',
+    'their',
+    'them',
+    'then',
+    'there',
+    'these',
+    'they',
+    'this',
+    'tis',
+    'to',
+    'too',
+    'twas',
+    'us',
+    'wants',
+    'was',
+    'we',
+    'were',
+    'what',
+    'when',
+    'who',
+    'whom',
+    'why',
+    'will',
+    'would',
+    'yet',
+    'you',
+    'your'
+  ])
+
+  // add . as a separator, because otherwise "title": "Documenter.Anchors.add!"
+  // would not find anything if searching for "add!", only for the entire qualification
+  lunr.tokenizer.separator = /[\s\-\.]+/
+
+  // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names
+  lunr.trimmer = function (token) {
+    return token.update(function (s) {
+      return s.replace(/^[^a-zA-Z0-9@!]+/, '').replace(/[^a-zA-Z0-9@!]+$/, '')
+    })
+  }
+
+  lunr.Pipeline.registerFunction(lunr.stopWordFilter, 'juliaStopWordFilter')
+  lunr.Pipeline.registerFunction(lunr.trimmer, 'juliaTrimmer')
+
+  var index = lunr(function () {
+    this.ref('location')
+    this.field('title',{boost: 100})
+    this.field('text')
+    documenterSearchIndex['docs'].forEach(function(e) {
+        this.add(e)
+    }, this)
+  })
+  var store = {}
+
+  documenterSearchIndex['docs'].forEach(function(e) {
+      store[e.location] = {title: e.title, category: e.category, page: e.page}
+  })
+
+  $(function(){
+    searchresults = $('#documenter-search-results');
+    searchinfo = $('#documenter-search-info');
+    searchbox = $('#documenter-search-query');
+    searchform = $('.docs-search');
+    sidebar = $('.docs-sidebar');
+    function update_search(querystring) {
+      tokens = lunr.tokenizer(querystring)
+      results = index.query(function (q) {
+        tokens.forEach(function (t) {
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 100,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 10,
+            usePipeline: true,
+            editDistance: 2,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["text"],
+            boost: 1,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+        })
+      })
+      searchinfo.text("Number of results: " + results.length)
+      searchresults.empty()
+      results.forEach(function(result) {
+        data = store[result.ref]
+        link = $('<a class="docs-label">'+data.title+'</a>')
+        link.attr('href', documenterBaseURL+'/'+result.ref)
+        if (data.category != "page"){
+          cat = $('<span class="docs-category">('+data.category+', '+data.page+')</span>')
+        } else {
+          cat = $('<span class="docs-category">('+data.category+')</span>')
+        }
+        li = $('<li>').append(link).append(" ").append(cat)
+        searchresults.append(li)
+      })
+    }
+
+    function update_search_box() {
+      querystring = searchbox.val()
+      update_search(querystring)
+    }
+
+    searchbox.keyup(_.debounce(update_search_box, 250))
+    searchbox.change(update_search_box)
+
+    // Disable enter-key form submission for the searchbox on the search page
+    // and just re-run search rather than refresh the whole page.
+    searchform.keypress(
+      function(event){
+        if (event.which == '13') {
+          if (sidebar.hasClass('visible')) {
+            sidebar.removeClass('visible');
+          }
+          update_search_box();
+          event.preventDefault();
+        }
+      }
+    );
+
+    search_query_uri = parseUri(window.location).queryKey["q"]
+    if(search_query_uri !== undefined) {
+      search_query = decodeURIComponent(search_query_uri.replace(/\+/g, '%20'))
+      searchbox.val(search_query)
+    }
+    update_search_box();
+  })
+})
+
+})
diff --git a/v0.3.8/assets/themes/documenter-dark.css b/v0.3.8/assets/themes/documenter-dark.css
new file mode 100644
index 000000000..0bf1af7d5
--- /dev/null
+++ b/v0.3.8/assets/themes/documenter-dark.css
@@ -0,0 +1,7702 @@
+@charset "UTF-8";
+/* Font Awesome 5 mixin. Can be included in any rule that should render Font Awesome icons. */
+@keyframes spinAround {
+  from {
+    transform: rotate(0deg); }
+  to {
+    transform: rotate(359deg); } }
+
+html.theme--documenter-dark .tabs, html.theme--documenter-dark .pagination-previous,
+html.theme--documenter-dark .pagination-next,
+html.theme--documenter-dark .pagination-link,
+html.theme--documenter-dark .pagination-ellipsis, html.theme--documenter-dark .breadcrumb, html.theme--documenter-dark .file, html.theme--documenter-dark .button, .is-unselectable, html.theme--documenter-dark .modal-close, html.theme--documenter-dark .delete {
+  -webkit-touch-callout: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  user-select: none; }
+
+html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after, html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after {
+  border: 3px solid transparent;
+  border-radius: 2px;
+  border-right: 0;
+  border-top: 0;
+  content: " ";
+  display: block;
+  height: 0.625em;
+  margin-top: -0.4375em;
+  pointer-events: none;
+  position: absolute;
+  top: 50%;
+  transform: rotate(-45deg);
+  transform-origin: center;
+  width: 0.625em; }
+
+html.theme--documenter-dark .admonition:not(:last-child), html.theme--documenter-dark .tabs:not(:last-child), html.theme--documenter-dark .message:not(:last-child), html.theme--documenter-dark .list:not(:last-child), html.theme--documenter-dark .level:not(:last-child), html.theme--documenter-dark .breadcrumb:not(:last-child), html.theme--documenter-dark .highlight:not(:last-child), html.theme--documenter-dark .block:not(:last-child), html.theme--documenter-dark .title:not(:last-child),
+html.theme--documenter-dark .subtitle:not(:last-child), html.theme--documenter-dark .table-container:not(:last-child), html.theme--documenter-dark .table:not(:last-child), html.theme--documenter-dark .progress:not(:last-child), html.theme--documenter-dark .notification:not(:last-child), html.theme--documenter-dark .content:not(:last-child), html.theme--documenter-dark .box:not(:last-child) {
+  margin-bottom: 1.5rem; }
+
+html.theme--documenter-dark .modal-close, html.theme--documenter-dark .delete {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  background-color: rgba(10, 10, 10, 0.2);
+  border: none;
+  border-radius: 290486px;
+  cursor: pointer;
+  pointer-events: auto;
+  display: inline-block;
+  flex-grow: 0;
+  flex-shrink: 0;
+  font-size: 0;
+  height: 20px;
+  max-height: 20px;
+  max-width: 20px;
+  min-height: 20px;
+  min-width: 20px;
+  outline: none;
+  position: relative;
+  vertical-align: top;
+  width: 20px; }
+  html.theme--documenter-dark .modal-close::before, html.theme--documenter-dark .delete::before, html.theme--documenter-dark .modal-close::after, html.theme--documenter-dark .delete::after {
+    background-color: white;
+    content: "";
+    display: block;
+    left: 50%;
+    position: absolute;
+    top: 50%;
+    transform: translateX(-50%) translateY(-50%) rotate(45deg);
+    transform-origin: center center; }
+  html.theme--documenter-dark .modal-close::before, html.theme--documenter-dark .delete::before {
+    height: 2px;
+    width: 50%; }
+  html.theme--documenter-dark .modal-close::after, html.theme--documenter-dark .delete::after {
+    height: 50%;
+    width: 2px; }
+  html.theme--documenter-dark .modal-close:hover, html.theme--documenter-dark .delete:hover, html.theme--documenter-dark .modal-close:focus, html.theme--documenter-dark .delete:focus {
+    background-color: rgba(10, 10, 10, 0.3); }
+  html.theme--documenter-dark .modal-close:active, html.theme--documenter-dark .delete:active {
+    background-color: rgba(10, 10, 10, 0.4); }
+  html.theme--documenter-dark .is-small.modal-close, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.modal-close, html.theme--documenter-dark .is-small.delete, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.delete {
+    height: 16px;
+    max-height: 16px;
+    max-width: 16px;
+    min-height: 16px;
+    min-width: 16px;
+    width: 16px; }
+  html.theme--documenter-dark .is-medium.modal-close, html.theme--documenter-dark .is-medium.delete {
+    height: 24px;
+    max-height: 24px;
+    max-width: 24px;
+    min-height: 24px;
+    min-width: 24px;
+    width: 24px; }
+  html.theme--documenter-dark .is-large.modal-close, html.theme--documenter-dark .is-large.delete {
+    height: 32px;
+    max-height: 32px;
+    max-width: 32px;
+    min-height: 32px;
+    min-width: 32px;
+    width: 32px; }
+
+html.theme--documenter-dark .control.is-loading::after, html.theme--documenter-dark .select.is-loading::after, html.theme--documenter-dark .loader, html.theme--documenter-dark .button.is-loading::after {
+  animation: spinAround 500ms infinite linear;
+  border: 2px solid #dbdee0;
+  border-radius: 290486px;
+  border-right-color: transparent;
+  border-top-color: transparent;
+  content: "";
+  display: block;
+  height: 1em;
+  position: relative;
+  width: 1em; }
+
+html.theme--documenter-dark .hero-video, html.theme--documenter-dark .modal-background, html.theme--documenter-dark .modal, html.theme--documenter-dark .image.is-square img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square img,
+html.theme--documenter-dark .image.is-square .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, html.theme--documenter-dark .image.is-1by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+html.theme--documenter-dark .image.is-1by1 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, html.theme--documenter-dark .image.is-5by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+html.theme--documenter-dark .image.is-5by4 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, html.theme--documenter-dark .image.is-4by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+html.theme--documenter-dark .image.is-4by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, html.theme--documenter-dark .image.is-3by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+html.theme--documenter-dark .image.is-3by2 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, html.theme--documenter-dark .image.is-5by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+html.theme--documenter-dark .image.is-5by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, html.theme--documenter-dark .image.is-16by9 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+html.theme--documenter-dark .image.is-16by9 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, html.theme--documenter-dark .image.is-2by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+html.theme--documenter-dark .image.is-2by1 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, html.theme--documenter-dark .image.is-3by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+html.theme--documenter-dark .image.is-3by1 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, html.theme--documenter-dark .image.is-4by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+html.theme--documenter-dark .image.is-4by5 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, html.theme--documenter-dark .image.is-3by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+html.theme--documenter-dark .image.is-3by4 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, html.theme--documenter-dark .image.is-2by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+html.theme--documenter-dark .image.is-2by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, html.theme--documenter-dark .image.is-3by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+html.theme--documenter-dark .image.is-3by5 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, html.theme--documenter-dark .image.is-9by16 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+html.theme--documenter-dark .image.is-9by16 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, html.theme--documenter-dark .image.is-1by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+html.theme--documenter-dark .image.is-1by2 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, html.theme--documenter-dark .image.is-1by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+html.theme--documenter-dark .image.is-1by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio, .is-overlay {
+  bottom: 0;
+  left: 0;
+  position: absolute;
+  right: 0;
+  top: 0; }
+
+html.theme--documenter-dark .pagination-previous,
+html.theme--documenter-dark .pagination-next,
+html.theme--documenter-dark .pagination-link,
+html.theme--documenter-dark .pagination-ellipsis, html.theme--documenter-dark .file-cta,
+html.theme--documenter-dark .file-name, html.theme--documenter-dark .select select, html.theme--documenter-dark .textarea, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark .button {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  align-items: center;
+  border: 1px solid transparent;
+  border-radius: 0.4em;
+  box-shadow: none;
+  display: inline-flex;
+  font-size: 15px;
+  height: 2.25em;
+  justify-content: flex-start;
+  line-height: 1.5;
+  padding-bottom: calc(0.375em - 1px);
+  padding-left: calc(0.625em - 1px);
+  padding-right: calc(0.625em - 1px);
+  padding-top: calc(0.375em - 1px);
+  position: relative;
+  vertical-align: top; }
+  html.theme--documenter-dark .pagination-previous:focus,
+  html.theme--documenter-dark .pagination-next:focus,
+  html.theme--documenter-dark .pagination-link:focus,
+  html.theme--documenter-dark .pagination-ellipsis:focus, html.theme--documenter-dark .file-cta:focus,
+  html.theme--documenter-dark .file-name:focus, html.theme--documenter-dark .select select:focus, html.theme--documenter-dark .textarea:focus, html.theme--documenter-dark .input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:focus, html.theme--documenter-dark .button:focus, html.theme--documenter-dark .is-focused.pagination-previous,
+  html.theme--documenter-dark .is-focused.pagination-next,
+  html.theme--documenter-dark .is-focused.pagination-link,
+  html.theme--documenter-dark .is-focused.pagination-ellipsis, html.theme--documenter-dark .is-focused.file-cta,
+  html.theme--documenter-dark .is-focused.file-name, html.theme--documenter-dark .select select.is-focused, html.theme--documenter-dark .is-focused.textarea, html.theme--documenter-dark .is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-focused.button, html.theme--documenter-dark .pagination-previous:active,
+  html.theme--documenter-dark .pagination-next:active,
+  html.theme--documenter-dark .pagination-link:active,
+  html.theme--documenter-dark .pagination-ellipsis:active, html.theme--documenter-dark .file-cta:active,
+  html.theme--documenter-dark .file-name:active, html.theme--documenter-dark .select select:active, html.theme--documenter-dark .textarea:active, html.theme--documenter-dark .input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:active, html.theme--documenter-dark .button:active, html.theme--documenter-dark .is-active.pagination-previous,
+  html.theme--documenter-dark .is-active.pagination-next,
+  html.theme--documenter-dark .is-active.pagination-link,
+  html.theme--documenter-dark .is-active.pagination-ellipsis, html.theme--documenter-dark .is-active.file-cta,
+  html.theme--documenter-dark .is-active.file-name, html.theme--documenter-dark .select select.is-active, html.theme--documenter-dark .is-active.textarea, html.theme--documenter-dark .is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .is-active.button {
+    outline: none; }
+  html.theme--documenter-dark .pagination-previous[disabled],
+  html.theme--documenter-dark .pagination-next[disabled],
+  html.theme--documenter-dark .pagination-link[disabled],
+  html.theme--documenter-dark .pagination-ellipsis[disabled], html.theme--documenter-dark .file-cta[disabled],
+  html.theme--documenter-dark .file-name[disabled], html.theme--documenter-dark .select select[disabled], html.theme--documenter-dark .textarea[disabled], html.theme--documenter-dark .input[disabled], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled], html.theme--documenter-dark .button[disabled], fieldset[disabled] html.theme--documenter-dark .pagination-previous, html.theme--documenter-dark fieldset[disabled] .pagination-previous,
+  fieldset[disabled] html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark fieldset[disabled] .pagination-next,
+  fieldset[disabled] html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark fieldset[disabled] .pagination-link,
+  fieldset[disabled] html.theme--documenter-dark .pagination-ellipsis,
+  html.theme--documenter-dark fieldset[disabled] .pagination-ellipsis, fieldset[disabled] html.theme--documenter-dark .file-cta, html.theme--documenter-dark fieldset[disabled] .file-cta,
+  fieldset[disabled] html.theme--documenter-dark .file-name,
+  html.theme--documenter-dark fieldset[disabled] .file-name, fieldset[disabled] html.theme--documenter-dark .select select, fieldset[disabled] html.theme--documenter-dark .textarea, fieldset[disabled] html.theme--documenter-dark .input, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark fieldset[disabled] .select select, html.theme--documenter-dark .select fieldset[disabled] select, html.theme--documenter-dark fieldset[disabled] .textarea, html.theme--documenter-dark fieldset[disabled] .input, html.theme--documenter-dark fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar fieldset[disabled] form.docs-search > input, fieldset[disabled] html.theme--documenter-dark .button, html.theme--documenter-dark fieldset[disabled] .button {
+    cursor: not-allowed; }
+
+/*! minireset.css v0.0.4 | MIT License | github.com/jgthms/minireset.css */
+html,
+body,
+p,
+ol,
+ul,
+li,
+dl,
+dt,
+dd,
+blockquote,
+figure,
+fieldset,
+legend,
+textarea,
+pre,
+iframe,
+hr,
+h1,
+h2,
+h3,
+h4,
+h5,
+h6 {
+  margin: 0;
+  padding: 0; }
+
+h1,
+h2,
+h3,
+h4,
+h5,
+h6 {
+  font-size: 100%;
+  font-weight: normal; }
+
+ul {
+  list-style: none; }
+
+button,
+input,
+select,
+textarea {
+  margin: 0; }
+
+html {
+  box-sizing: border-box; }
+
+*, *::before, *::after {
+  box-sizing: inherit; }
+
+img,
+embed,
+iframe,
+object,
+video {
+  height: auto;
+  max-width: 100%; }
+
+audio {
+  max-width: 100%; }
+
+iframe {
+  border: 0; }
+
+table {
+  border-collapse: collapse;
+  border-spacing: 0; }
+
+td,
+th {
+  padding: 0; }
+  td:not([align]),
+  th:not([align]) {
+    text-align: left; }
+
+.is-clearfix::after {
+  clear: both;
+  content: " ";
+  display: table; }
+
+.is-pulled-left {
+  float: left !important; }
+
+.is-pulled-right {
+  float: right !important; }
+
+.is-clipped {
+  overflow: hidden !important; }
+
+.is-size-1 {
+  font-size: 3rem !important; }
+
+.is-size-2 {
+  font-size: 2.5rem !important; }
+
+.is-size-3 {
+  font-size: 2rem !important; }
+
+.is-size-4 {
+  font-size: 1.5rem !important; }
+
+.is-size-5 {
+  font-size: 1.25rem !important; }
+
+.is-size-6 {
+  font-size: 15px !important; }
+
+.is-size-7, html.theme--documenter-dark .docstring > section > a.docs-sourcelink {
+  font-size: 0.85em !important; }
+
+@media screen and (max-width: 768px) {
+  .is-size-1-mobile {
+    font-size: 3rem !important; }
+  .is-size-2-mobile {
+    font-size: 2.5rem !important; }
+  .is-size-3-mobile {
+    font-size: 2rem !important; }
+  .is-size-4-mobile {
+    font-size: 1.5rem !important; }
+  .is-size-5-mobile {
+    font-size: 1.25rem !important; }
+  .is-size-6-mobile {
+    font-size: 15px !important; }
+  .is-size-7-mobile {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-size-1-tablet {
+    font-size: 3rem !important; }
+  .is-size-2-tablet {
+    font-size: 2.5rem !important; }
+  .is-size-3-tablet {
+    font-size: 2rem !important; }
+  .is-size-4-tablet {
+    font-size: 1.5rem !important; }
+  .is-size-5-tablet {
+    font-size: 1.25rem !important; }
+  .is-size-6-tablet {
+    font-size: 15px !important; }
+  .is-size-7-tablet {
+    font-size: 0.85em !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-size-1-touch {
+    font-size: 3rem !important; }
+  .is-size-2-touch {
+    font-size: 2.5rem !important; }
+  .is-size-3-touch {
+    font-size: 2rem !important; }
+  .is-size-4-touch {
+    font-size: 1.5rem !important; }
+  .is-size-5-touch {
+    font-size: 1.25rem !important; }
+  .is-size-6-touch {
+    font-size: 15px !important; }
+  .is-size-7-touch {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-size-1-desktop {
+    font-size: 3rem !important; }
+  .is-size-2-desktop {
+    font-size: 2.5rem !important; }
+  .is-size-3-desktop {
+    font-size: 2rem !important; }
+  .is-size-4-desktop {
+    font-size: 1.5rem !important; }
+  .is-size-5-desktop {
+    font-size: 1.25rem !important; }
+  .is-size-6-desktop {
+    font-size: 15px !important; }
+  .is-size-7-desktop {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-size-1-widescreen {
+    font-size: 3rem !important; }
+  .is-size-2-widescreen {
+    font-size: 2.5rem !important; }
+  .is-size-3-widescreen {
+    font-size: 2rem !important; }
+  .is-size-4-widescreen {
+    font-size: 1.5rem !important; }
+  .is-size-5-widescreen {
+    font-size: 1.25rem !important; }
+  .is-size-6-widescreen {
+    font-size: 15px !important; }
+  .is-size-7-widescreen {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-size-1-fullhd {
+    font-size: 3rem !important; }
+  .is-size-2-fullhd {
+    font-size: 2.5rem !important; }
+  .is-size-3-fullhd {
+    font-size: 2rem !important; }
+  .is-size-4-fullhd {
+    font-size: 1.5rem !important; }
+  .is-size-5-fullhd {
+    font-size: 1.25rem !important; }
+  .is-size-6-fullhd {
+    font-size: 15px !important; }
+  .is-size-7-fullhd {
+    font-size: 0.85em !important; } }
+
+.has-text-centered {
+  text-align: center !important; }
+
+.has-text-justified {
+  text-align: justify !important; }
+
+.has-text-left {
+  text-align: left !important; }
+
+.has-text-right {
+  text-align: right !important; }
+
+@media screen and (max-width: 768px) {
+  .has-text-centered-mobile {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-centered-tablet {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-centered-tablet-only {
+    text-align: center !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-centered-touch {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-centered-desktop {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-centered-desktop-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-centered-widescreen {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-centered-widescreen-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-centered-fullhd {
+    text-align: center !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-justified-mobile {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-justified-tablet {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-justified-tablet-only {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-justified-touch {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-justified-desktop {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-justified-desktop-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-justified-widescreen {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-justified-widescreen-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-justified-fullhd {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-left-mobile {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-left-tablet {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-left-tablet-only {
+    text-align: left !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-left-touch {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-left-desktop {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-left-desktop-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-left-widescreen {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-left-widescreen-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-left-fullhd {
+    text-align: left !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-right-mobile {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-right-tablet {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-right-tablet-only {
+    text-align: right !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-right-touch {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-right-desktop {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-right-desktop-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-right-widescreen {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-right-widescreen-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-right-fullhd {
+    text-align: right !important; } }
+
+.is-capitalized {
+  text-transform: capitalize !important; }
+
+.is-lowercase {
+  text-transform: lowercase !important; }
+
+.is-uppercase {
+  text-transform: uppercase !important; }
+
+.is-italic {
+  font-style: italic !important; }
+
+.has-text-white {
+  color: white !important; }
+
+a.has-text-white:hover, a.has-text-white:focus {
+  color: #e6e6e6 !important; }
+
+.has-background-white {
+  background-color: white !important; }
+
+.has-text-black {
+  color: #0a0a0a !important; }
+
+a.has-text-black:hover, a.has-text-black:focus {
+  color: black !important; }
+
+.has-background-black {
+  background-color: #0a0a0a !important; }
+
+.has-text-light {
+  color: #ecf0f1 !important; }
+
+a.has-text-light:hover, a.has-text-light:focus {
+  color: #cfd9db !important; }
+
+.has-background-light {
+  background-color: #ecf0f1 !important; }
+
+.has-text-dark {
+  color: #282f2f !important; }
+
+a.has-text-dark:hover, a.has-text-dark:focus {
+  color: #111414 !important; }
+
+.has-background-dark {
+  background-color: #282f2f !important; }
+
+.has-text-primary {
+  color: #375a7f !important; }
+
+a.has-text-primary:hover, a.has-text-primary:focus {
+  color: #28415b !important; }
+
+.has-background-primary {
+  background-color: #375a7f !important; }
+
+.has-text-link {
+  color: #1abc9c !important; }
+
+a.has-text-link:hover, a.has-text-link:focus {
+  color: #148f77 !important; }
+
+.has-background-link {
+  background-color: #1abc9c !important; }
+
+.has-text-info {
+  color: #024c7d !important; }
+
+a.has-text-info:hover, a.has-text-info:focus {
+  color: #012d4b !important; }
+
+.has-background-info {
+  background-color: #024c7d !important; }
+
+.has-text-success {
+  color: #008438 !important; }
+
+a.has-text-success:hover, a.has-text-success:focus {
+  color: #005122 !important; }
+
+.has-background-success {
+  background-color: #008438 !important; }
+
+.has-text-warning {
+  color: #ad8100 !important; }
+
+a.has-text-warning:hover, a.has-text-warning:focus {
+  color: #7a5b00 !important; }
+
+.has-background-warning {
+  background-color: #ad8100 !important; }
+
+.has-text-danger {
+  color: #9e1b0d !important; }
+
+a.has-text-danger:hover, a.has-text-danger:focus {
+  color: #6f1309 !important; }
+
+.has-background-danger {
+  background-color: #9e1b0d !important; }
+
+.has-text-black-bis {
+  color: #121212 !important; }
+
+.has-background-black-bis {
+  background-color: #121212 !important; }
+
+.has-text-black-ter {
+  color: #242424 !important; }
+
+.has-background-black-ter {
+  background-color: #242424 !important; }
+
+.has-text-grey-darker {
+  color: #282f2f !important; }
+
+.has-background-grey-darker {
+  background-color: #282f2f !important; }
+
+.has-text-grey-dark {
+  color: #343c3d !important; }
+
+.has-background-grey-dark {
+  background-color: #343c3d !important; }
+
+.has-text-grey {
+  color: #5e6d6f !important; }
+
+.has-background-grey {
+  background-color: #5e6d6f !important; }
+
+.has-text-grey-light {
+  color: #8c9b9d !important; }
+
+.has-background-grey-light {
+  background-color: #8c9b9d !important; }
+
+.has-text-grey-lighter {
+  color: #dbdee0 !important; }
+
+.has-background-grey-lighter {
+  background-color: #dbdee0 !important; }
+
+.has-text-white-ter {
+  color: #ecf0f1 !important; }
+
+.has-background-white-ter {
+  background-color: #ecf0f1 !important; }
+
+.has-text-white-bis {
+  color: #fafafa !important; }
+
+.has-background-white-bis {
+  background-color: #fafafa !important; }
+
+.has-text-weight-light {
+  font-weight: 300 !important; }
+
+.has-text-weight-normal {
+  font-weight: 400 !important; }
+
+.has-text-weight-medium {
+  font-weight: 500 !important; }
+
+.has-text-weight-semibold {
+  font-weight: 600 !important; }
+
+.has-text-weight-bold {
+  font-weight: 700 !important; }
+
+.is-family-primary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-secondary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-sans-serif {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-monospace {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-family-code {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-block {
+  display: block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-block-mobile {
+    display: block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-block-tablet {
+    display: block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-block-tablet-only {
+    display: block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-block-touch {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-block-desktop {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-block-desktop-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-block-widescreen {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-block-widescreen-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-block-fullhd {
+    display: block !important; } }
+
+.is-flex {
+  display: flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-flex-mobile {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-flex-tablet {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-flex-tablet-only {
+    display: flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-flex-touch {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-flex-desktop {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-flex-desktop-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-flex-widescreen {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-flex-widescreen-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-flex-fullhd {
+    display: flex !important; } }
+
+.is-inline {
+  display: inline !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-mobile {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-tablet {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-tablet-only {
+    display: inline !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-touch {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-desktop {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-desktop-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-widescreen {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-widescreen-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-fullhd {
+    display: inline !important; } }
+
+.is-inline-block {
+  display: inline-block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-block-mobile {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-block-tablet {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-block-tablet-only {
+    display: inline-block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-block-touch {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-block-desktop {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-block-desktop-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-block-widescreen {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-block-widescreen-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-block-fullhd {
+    display: inline-block !important; } }
+
+.is-inline-flex {
+  display: inline-flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-flex-mobile {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-flex-tablet {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-flex-tablet-only {
+    display: inline-flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-flex-touch {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-flex-desktop {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-flex-desktop-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-flex-widescreen {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-flex-widescreen-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-flex-fullhd {
+    display: inline-flex !important; } }
+
+.is-hidden {
+  display: none !important; }
+
+.is-sr-only {
+  border: none !important;
+  clip: rect(0, 0, 0, 0) !important;
+  height: 0.01em !important;
+  overflow: hidden !important;
+  padding: 0 !important;
+  position: absolute !important;
+  white-space: nowrap !important;
+  width: 0.01em !important; }
+
+@media screen and (max-width: 768px) {
+  .is-hidden-mobile {
+    display: none !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-hidden-tablet {
+    display: none !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-hidden-tablet-only {
+    display: none !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-hidden-touch {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-hidden-desktop {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-hidden-desktop-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-hidden-widescreen {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-hidden-widescreen-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-hidden-fullhd {
+    display: none !important; } }
+
+.is-invisible {
+  visibility: hidden !important; }
+
+@media screen and (max-width: 768px) {
+  .is-invisible-mobile {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-invisible-tablet {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-invisible-tablet-only {
+    visibility: hidden !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-invisible-touch {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-invisible-desktop {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-invisible-desktop-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-invisible-widescreen {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-invisible-widescreen-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-invisible-fullhd {
+    visibility: hidden !important; } }
+
+.is-marginless {
+  margin: 0 !important; }
+
+.is-paddingless {
+  padding: 0 !important; }
+
+.is-radiusless {
+  border-radius: 0 !important; }
+
+.is-shadowless {
+  box-shadow: none !important; }
+
+.is-relative {
+  position: relative !important; }
+
+html.theme--documenter-dark {
+  /* This file contain the overall layout.
+ *
+ * The main container is <div> that is identified by id #documenter.
+ */
+  /*!
+  Theme: a11y-dark
+  Author: @ericwbailey
+  Maintainer: @ericwbailey
+
+  Based on the Tomorrow Night Eighties theme: https://github.com/isagalaev/highlight.js/blob/master/src/styles/tomorrow-night-eighties.css
+*/
+  /* Comment */
+  /* Red */
+  /* Orange */
+  /* Yellow */
+  /* Green */
+  /* Blue */
+  /* Purple */ }
+  html.theme--documenter-dark html {
+    background-color: #1f2424;
+    font-size: 16px;
+    -moz-osx-font-smoothing: grayscale;
+    -webkit-font-smoothing: antialiased;
+    min-width: 300px;
+    overflow-x: auto;
+    overflow-y: scroll;
+    text-rendering: optimizeLegibility;
+    text-size-adjust: 100%; }
+  html.theme--documenter-dark article,
+  html.theme--documenter-dark aside,
+  html.theme--documenter-dark figure,
+  html.theme--documenter-dark footer,
+  html.theme--documenter-dark header,
+  html.theme--documenter-dark hgroup,
+  html.theme--documenter-dark section {
+    display: block; }
+  html.theme--documenter-dark body,
+  html.theme--documenter-dark button,
+  html.theme--documenter-dark input,
+  html.theme--documenter-dark select,
+  html.theme--documenter-dark textarea {
+    font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif; }
+  html.theme--documenter-dark code,
+  html.theme--documenter-dark pre {
+    -moz-osx-font-smoothing: auto;
+    -webkit-font-smoothing: auto;
+    font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace; }
+  html.theme--documenter-dark body {
+    color: #fff;
+    font-size: 1em;
+    font-weight: 400;
+    line-height: 1.5; }
+  html.theme--documenter-dark a {
+    color: #1abc9c;
+    cursor: pointer;
+    text-decoration: none; }
+    html.theme--documenter-dark a strong {
+      color: currentColor; }
+    html.theme--documenter-dark a:hover {
+      color: #1dd2af; }
+  html.theme--documenter-dark code {
+    background-color: rgba(255, 255, 255, 0.05);
+    color: #ececec;
+    font-size: 0.875em;
+    font-weight: normal;
+    padding: 0.1em; }
+  html.theme--documenter-dark hr {
+    background-color: #282f2f;
+    border: none;
+    display: block;
+    height: 2px;
+    margin: 1.5rem 0; }
+  html.theme--documenter-dark img {
+    height: auto;
+    max-width: 100%; }
+  html.theme--documenter-dark input[type="checkbox"],
+  html.theme--documenter-dark input[type="radio"] {
+    vertical-align: baseline; }
+  html.theme--documenter-dark small {
+    font-size: 0.875em; }
+  html.theme--documenter-dark span {
+    font-style: inherit;
+    font-weight: inherit; }
+  html.theme--documenter-dark strong {
+    color: #f2f2f2;
+    font-weight: 700; }
+  html.theme--documenter-dark fieldset {
+    border: none; }
+  html.theme--documenter-dark pre {
+    -webkit-overflow-scrolling: touch;
+    background-color: #282f2f;
+    color: #fff;
+    font-size: 0.875em;
+    overflow-x: auto;
+    padding: 1.25rem 1.5rem;
+    white-space: pre;
+    word-wrap: normal; }
+    html.theme--documenter-dark pre code {
+      background-color: transparent;
+      color: currentColor;
+      font-size: 1em;
+      padding: 0; }
+  html.theme--documenter-dark table td,
+  html.theme--documenter-dark table th {
+    vertical-align: top; }
+    html.theme--documenter-dark table td:not([align]),
+    html.theme--documenter-dark table th:not([align]) {
+      text-align: left; }
+  html.theme--documenter-dark table th {
+    color: #f2f2f2; }
+  html.theme--documenter-dark .box {
+    background-color: #343c3d;
+    border-radius: 8px;
+    box-shadow: none;
+    color: #fff;
+    display: block;
+    padding: 1.25rem; }
+  html.theme--documenter-dark a.box:hover, html.theme--documenter-dark a.box:focus {
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px #1abc9c; }
+  html.theme--documenter-dark a.box:active {
+    box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2), 0 0 0 1px #1abc9c; }
+  html.theme--documenter-dark .button {
+    background-color: #282f2f;
+    border-color: #4c5759;
+    border-width: 1px;
+    color: #375a7f;
+    cursor: pointer;
+    justify-content: center;
+    padding-bottom: calc(0.375em - 1px);
+    padding-left: 0.75em;
+    padding-right: 0.75em;
+    padding-top: calc(0.375em - 1px);
+    text-align: center;
+    white-space: nowrap; }
+    html.theme--documenter-dark .button strong {
+      color: inherit; }
+    html.theme--documenter-dark .button .icon, html.theme--documenter-dark .button .icon.is-small, html.theme--documenter-dark .button #documenter .docs-sidebar form.docs-search > input.icon, html.theme--documenter-dark #documenter .docs-sidebar .button form.docs-search > input.icon, html.theme--documenter-dark .button .icon.is-medium, html.theme--documenter-dark .button .icon.is-large {
+      height: 1.5em;
+      width: 1.5em; }
+    html.theme--documenter-dark .button .icon:first-child:not(:last-child) {
+      margin-left: calc(-0.375em - 1px);
+      margin-right: 0.1875em; }
+    html.theme--documenter-dark .button .icon:last-child:not(:first-child) {
+      margin-left: 0.1875em;
+      margin-right: calc(-0.375em - 1px); }
+    html.theme--documenter-dark .button .icon:first-child:last-child {
+      margin-left: calc(-0.375em - 1px);
+      margin-right: calc(-0.375em - 1px); }
+    html.theme--documenter-dark .button:hover, html.theme--documenter-dark .button.is-hovered {
+      border-color: #8c9b9d;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .button:focus, html.theme--documenter-dark .button.is-focused {
+      border-color: #8c9b9d;
+      color: #17a689; }
+      html.theme--documenter-dark .button:focus:not(:active), html.theme--documenter-dark .button.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .button:active, html.theme--documenter-dark .button.is-active {
+      border-color: #343c3d;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .button.is-text {
+      background-color: transparent;
+      border-color: transparent;
+      color: #fff;
+      text-decoration: underline; }
+      html.theme--documenter-dark .button.is-text:hover, html.theme--documenter-dark .button.is-text.is-hovered, html.theme--documenter-dark .button.is-text:focus, html.theme--documenter-dark .button.is-text.is-focused {
+        background-color: #282f2f;
+        color: #f2f2f2; }
+      html.theme--documenter-dark .button.is-text:active, html.theme--documenter-dark .button.is-text.is-active {
+        background-color: #1d2122;
+        color: #f2f2f2; }
+      html.theme--documenter-dark .button.is-text[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-text {
+        background-color: transparent;
+        border-color: transparent;
+        box-shadow: none; }
+    html.theme--documenter-dark .button.is-white {
+      background-color: white;
+      border-color: transparent;
+      color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-white:hover, html.theme--documenter-dark .button.is-white.is-hovered {
+        background-color: #f9f9f9;
+        border-color: transparent;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-white:focus, html.theme--documenter-dark .button.is-white.is-focused {
+        border-color: transparent;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-white:focus:not(:active), html.theme--documenter-dark .button.is-white.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+      html.theme--documenter-dark .button.is-white:active, html.theme--documenter-dark .button.is-white.is-active {
+        background-color: #f2f2f2;
+        border-color: transparent;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-white[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white {
+        background-color: white;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-white.is-inverted {
+        background-color: #0a0a0a;
+        color: white; }
+        html.theme--documenter-dark .button.is-white.is-inverted:hover, html.theme--documenter-dark .button.is-white.is-inverted.is-hovered {
+          background-color: black; }
+        html.theme--documenter-dark .button.is-white.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted {
+          background-color: #0a0a0a;
+          border-color: transparent;
+          box-shadow: none;
+          color: white; }
+      html.theme--documenter-dark .button.is-white.is-loading::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      html.theme--documenter-dark .button.is-white.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        color: white; }
+        html.theme--documenter-dark .button.is-white.is-outlined:hover, html.theme--documenter-dark .button.is-white.is-outlined.is-hovered, html.theme--documenter-dark .button.is-white.is-outlined:focus, html.theme--documenter-dark .button.is-white.is-outlined.is-focused {
+          background-color: white;
+          border-color: white;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-white.is-outlined.is-loading::after {
+          border-color: transparent transparent white white !important; }
+        html.theme--documenter-dark .button.is-white.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+        html.theme--documenter-dark .button.is-white.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-outlined {
+          background-color: transparent;
+          border-color: white;
+          box-shadow: none;
+          color: white; }
+      html.theme--documenter-dark .button.is-white.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-focused {
+          background-color: #0a0a0a;
+          color: white; }
+        html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent white white !important; }
+        html.theme--documenter-dark .button.is-white.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #0a0a0a;
+          box-shadow: none;
+          color: #0a0a0a; }
+    html.theme--documenter-dark .button.is-black {
+      background-color: #0a0a0a;
+      border-color: transparent;
+      color: white; }
+      html.theme--documenter-dark .button.is-black:hover, html.theme--documenter-dark .button.is-black.is-hovered {
+        background-color: #040404;
+        border-color: transparent;
+        color: white; }
+      html.theme--documenter-dark .button.is-black:focus, html.theme--documenter-dark .button.is-black.is-focused {
+        border-color: transparent;
+        color: white; }
+        html.theme--documenter-dark .button.is-black:focus:not(:active), html.theme--documenter-dark .button.is-black.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+      html.theme--documenter-dark .button.is-black:active, html.theme--documenter-dark .button.is-black.is-active {
+        background-color: black;
+        border-color: transparent;
+        color: white; }
+      html.theme--documenter-dark .button.is-black[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black {
+        background-color: #0a0a0a;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-black.is-inverted {
+        background-color: white;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-black.is-inverted:hover, html.theme--documenter-dark .button.is-black.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-black.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted {
+          background-color: white;
+          border-color: transparent;
+          box-shadow: none;
+          color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-black.is-loading::after {
+        border-color: transparent transparent white white !important; }
+      html.theme--documenter-dark .button.is-black.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-black.is-outlined:hover, html.theme--documenter-dark .button.is-black.is-outlined.is-hovered, html.theme--documenter-dark .button.is-black.is-outlined:focus, html.theme--documenter-dark .button.is-black.is-outlined.is-focused {
+          background-color: #0a0a0a;
+          border-color: #0a0a0a;
+          color: white; }
+        html.theme--documenter-dark .button.is-black.is-outlined.is-loading::after {
+          border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+        html.theme--documenter-dark .button.is-black.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent white white !important; }
+        html.theme--documenter-dark .button.is-black.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-outlined {
+          background-color: transparent;
+          border-color: #0a0a0a;
+          box-shadow: none;
+          color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-black.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        color: white; }
+        html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-focused {
+          background-color: white;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+        html.theme--documenter-dark .button.is-black.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: white;
+          box-shadow: none;
+          color: white; }
+    html.theme--documenter-dark .button.is-light {
+      background-color: #ecf0f1;
+      border-color: transparent;
+      color: #282f2f; }
+      html.theme--documenter-dark .button.is-light:hover, html.theme--documenter-dark .button.is-light.is-hovered {
+        background-color: #e5eaec;
+        border-color: transparent;
+        color: #282f2f; }
+      html.theme--documenter-dark .button.is-light:focus, html.theme--documenter-dark .button.is-light.is-focused {
+        border-color: transparent;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-light:focus:not(:active), html.theme--documenter-dark .button.is-light.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); }
+      html.theme--documenter-dark .button.is-light:active, html.theme--documenter-dark .button.is-light.is-active {
+        background-color: #dde4e6;
+        border-color: transparent;
+        color: #282f2f; }
+      html.theme--documenter-dark .button.is-light[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light {
+        background-color: #ecf0f1;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-light.is-inverted {
+        background-color: #282f2f;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-light.is-inverted:hover, html.theme--documenter-dark .button.is-light.is-inverted.is-hovered {
+          background-color: #1d2122; }
+        html.theme--documenter-dark .button.is-light.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted {
+          background-color: #282f2f;
+          border-color: transparent;
+          box-shadow: none;
+          color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-light.is-loading::after {
+        border-color: transparent transparent #282f2f #282f2f !important; }
+      html.theme--documenter-dark .button.is-light.is-outlined {
+        background-color: transparent;
+        border-color: #ecf0f1;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-light.is-outlined:hover, html.theme--documenter-dark .button.is-light.is-outlined.is-hovered, html.theme--documenter-dark .button.is-light.is-outlined:focus, html.theme--documenter-dark .button.is-light.is-outlined.is-focused {
+          background-color: #ecf0f1;
+          border-color: #ecf0f1;
+          color: #282f2f; }
+        html.theme--documenter-dark .button.is-light.is-outlined.is-loading::after {
+          border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+        html.theme--documenter-dark .button.is-light.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #282f2f #282f2f !important; }
+        html.theme--documenter-dark .button.is-light.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-outlined {
+          background-color: transparent;
+          border-color: #ecf0f1;
+          box-shadow: none;
+          color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-light.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #282f2f;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused {
+          background-color: #282f2f;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+        html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #282f2f;
+          box-shadow: none;
+          color: #282f2f; }
+    html.theme--documenter-dark .button.is-dark, html.theme--documenter-dark .content kbd.button {
+      background-color: #282f2f;
+      border-color: transparent;
+      color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-dark:hover, html.theme--documenter-dark .content kbd.button:hover, html.theme--documenter-dark .button.is-dark.is-hovered, html.theme--documenter-dark .content kbd.button.is-hovered {
+        background-color: #232829;
+        border-color: transparent;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-dark:focus, html.theme--documenter-dark .content kbd.button:focus, html.theme--documenter-dark .button.is-dark.is-focused, html.theme--documenter-dark .content kbd.button.is-focused {
+        border-color: transparent;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-dark:focus:not(:active), html.theme--documenter-dark .content kbd.button:focus:not(:active), html.theme--documenter-dark .button.is-dark.is-focused:not(:active), html.theme--documenter-dark .content kbd.button.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); }
+      html.theme--documenter-dark .button.is-dark:active, html.theme--documenter-dark .content kbd.button:active, html.theme--documenter-dark .button.is-dark.is-active, html.theme--documenter-dark .content kbd.button.is-active {
+        background-color: #1d2122;
+        border-color: transparent;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-dark[disabled], html.theme--documenter-dark .content kbd.button[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark, fieldset[disabled] html.theme--documenter-dark .content kbd.button {
+        background-color: #282f2f;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-dark.is-inverted, html.theme--documenter-dark .content kbd.button.is-inverted {
+        background-color: #ecf0f1;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-dark.is-inverted:hover, html.theme--documenter-dark .content kbd.button.is-inverted:hover, html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered, html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered {
+          background-color: #dde4e6; }
+        html.theme--documenter-dark .button.is-dark.is-inverted[disabled], html.theme--documenter-dark .content kbd.button.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted {
+          background-color: #ecf0f1;
+          border-color: transparent;
+          box-shadow: none;
+          color: #282f2f; }
+      html.theme--documenter-dark .button.is-dark.is-loading::after, html.theme--documenter-dark .content kbd.button.is-loading::after {
+        border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+      html.theme--documenter-dark .button.is-dark.is-outlined, html.theme--documenter-dark .content kbd.button.is-outlined {
+        background-color: transparent;
+        border-color: #282f2f;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-dark.is-outlined:hover, html.theme--documenter-dark .content kbd.button.is-outlined:hover, html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered, html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered, html.theme--documenter-dark .button.is-dark.is-outlined:focus, html.theme--documenter-dark .content kbd.button.is-outlined:focus, html.theme--documenter-dark .button.is-dark.is-outlined.is-focused, html.theme--documenter-dark .content kbd.button.is-outlined.is-focused {
+          background-color: #282f2f;
+          border-color: #282f2f;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after {
+          border-color: transparent transparent #282f2f #282f2f !important; }
+        html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+        html.theme--documenter-dark .button.is-dark.is-outlined[disabled], html.theme--documenter-dark .content kbd.button.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined {
+          background-color: transparent;
+          border-color: #282f2f;
+          box-shadow: none;
+          color: #282f2f; }
+      html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #ecf0f1;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused {
+          background-color: #ecf0f1;
+          color: #282f2f; }
+        html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #282f2f #282f2f !important; }
+        html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled], html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #ecf0f1;
+          box-shadow: none;
+          color: #ecf0f1; }
+    html.theme--documenter-dark .button.is-primary, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink {
+      background-color: #375a7f;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-primary:hover, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-hovered.docs-sourcelink {
+        background-color: #335476;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-primary:focus, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-primary:focus:not(:active), html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus:not(:active), html.theme--documenter-dark .button.is-primary.is-focused:not(:active), html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); }
+      html.theme--documenter-dark .button.is-primary:active, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:active, html.theme--documenter-dark .button.is-primary.is-active, html.theme--documenter-dark .docstring > section > a.button.is-active.docs-sourcelink {
+        background-color: #2f4d6d;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-primary[disabled], html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink {
+        background-color: #375a7f;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-primary.is-inverted, html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink {
+        background-color: #fff;
+        color: #375a7f; }
+        html.theme--documenter-dark .button.is-primary.is-inverted:hover, html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-inverted.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-hovered.docs-sourcelink {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-primary.is-inverted[disabled], html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #375a7f; }
+      html.theme--documenter-dark .button.is-primary.is-loading::after, html.theme--documenter-dark .docstring > section > a.button.is-loading.docs-sourcelink::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-primary.is-outlined, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #375a7f;
+        color: #375a7f; }
+        html.theme--documenter-dark .button.is-primary.is-outlined:hover, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-outlined.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-outlined:focus, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-outlined.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-focused.docs-sourcelink {
+          background-color: #375a7f;
+          border-color: #375a7f;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-primary.is-outlined.is-loading::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink::after {
+          border-color: transparent transparent #375a7f #375a7f !important; }
+        html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:hover::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:hover::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:focus::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:focus::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-primary.is-outlined[disabled], html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-outlined, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink {
+          background-color: transparent;
+          border-color: #375a7f;
+          box-shadow: none;
+          color: #375a7f; }
+      html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined:hover, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined:focus, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-focused.docs-sourcelink {
+          background-color: #fff;
+          color: #375a7f; }
+        html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+          border-color: transparent transparent #375a7f #375a7f !important; }
+        html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined[disabled], html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-link {
+      background-color: #1abc9c;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-link:hover, html.theme--documenter-dark .button.is-link.is-hovered {
+        background-color: #18b193;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-link:focus, html.theme--documenter-dark .button.is-link.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-link:focus:not(:active), html.theme--documenter-dark .button.is-link.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+      html.theme--documenter-dark .button.is-link:active, html.theme--documenter-dark .button.is-link.is-active {
+        background-color: #17a689;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-link[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link {
+        background-color: #1abc9c;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-link.is-inverted {
+        background-color: #fff;
+        color: #1abc9c; }
+        html.theme--documenter-dark .button.is-link.is-inverted:hover, html.theme--documenter-dark .button.is-link.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-link.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #1abc9c; }
+      html.theme--documenter-dark .button.is-link.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-link.is-outlined {
+        background-color: transparent;
+        border-color: #1abc9c;
+        color: #1abc9c; }
+        html.theme--documenter-dark .button.is-link.is-outlined:hover, html.theme--documenter-dark .button.is-link.is-outlined.is-hovered, html.theme--documenter-dark .button.is-link.is-outlined:focus, html.theme--documenter-dark .button.is-link.is-outlined.is-focused {
+          background-color: #1abc9c;
+          border-color: #1abc9c;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-link.is-outlined.is-loading::after {
+          border-color: transparent transparent #1abc9c #1abc9c !important; }
+        html.theme--documenter-dark .button.is-link.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-link.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-outlined {
+          background-color: transparent;
+          border-color: #1abc9c;
+          box-shadow: none;
+          color: #1abc9c; }
+      html.theme--documenter-dark .button.is-link.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #1abc9c; }
+        html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #1abc9c #1abc9c !important; }
+        html.theme--documenter-dark .button.is-link.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-info {
+      background-color: #024c7d;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-info:hover, html.theme--documenter-dark .button.is-info.is-hovered {
+        background-color: #024470;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-info:focus, html.theme--documenter-dark .button.is-info.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-info:focus:not(:active), html.theme--documenter-dark .button.is-info.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); }
+      html.theme--documenter-dark .button.is-info:active, html.theme--documenter-dark .button.is-info.is-active {
+        background-color: #023d64;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-info[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info {
+        background-color: #024c7d;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-info.is-inverted {
+        background-color: #fff;
+        color: #024c7d; }
+        html.theme--documenter-dark .button.is-info.is-inverted:hover, html.theme--documenter-dark .button.is-info.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-info.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #024c7d; }
+      html.theme--documenter-dark .button.is-info.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-info.is-outlined {
+        background-color: transparent;
+        border-color: #024c7d;
+        color: #024c7d; }
+        html.theme--documenter-dark .button.is-info.is-outlined:hover, html.theme--documenter-dark .button.is-info.is-outlined.is-hovered, html.theme--documenter-dark .button.is-info.is-outlined:focus, html.theme--documenter-dark .button.is-info.is-outlined.is-focused {
+          background-color: #024c7d;
+          border-color: #024c7d;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-info.is-outlined.is-loading::after {
+          border-color: transparent transparent #024c7d #024c7d !important; }
+        html.theme--documenter-dark .button.is-info.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-info.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-outlined {
+          background-color: transparent;
+          border-color: #024c7d;
+          box-shadow: none;
+          color: #024c7d; }
+      html.theme--documenter-dark .button.is-info.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #024c7d; }
+        html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #024c7d #024c7d !important; }
+        html.theme--documenter-dark .button.is-info.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-success {
+      background-color: #008438;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-success:hover, html.theme--documenter-dark .button.is-success.is-hovered {
+        background-color: #007733;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-success:focus, html.theme--documenter-dark .button.is-success.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-success:focus:not(:active), html.theme--documenter-dark .button.is-success.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); }
+      html.theme--documenter-dark .button.is-success:active, html.theme--documenter-dark .button.is-success.is-active {
+        background-color: #006b2d;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-success[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success {
+        background-color: #008438;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-success.is-inverted {
+        background-color: #fff;
+        color: #008438; }
+        html.theme--documenter-dark .button.is-success.is-inverted:hover, html.theme--documenter-dark .button.is-success.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-success.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #008438; }
+      html.theme--documenter-dark .button.is-success.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-success.is-outlined {
+        background-color: transparent;
+        border-color: #008438;
+        color: #008438; }
+        html.theme--documenter-dark .button.is-success.is-outlined:hover, html.theme--documenter-dark .button.is-success.is-outlined.is-hovered, html.theme--documenter-dark .button.is-success.is-outlined:focus, html.theme--documenter-dark .button.is-success.is-outlined.is-focused {
+          background-color: #008438;
+          border-color: #008438;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-success.is-outlined.is-loading::after {
+          border-color: transparent transparent #008438 #008438 !important; }
+        html.theme--documenter-dark .button.is-success.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-success.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-outlined {
+          background-color: transparent;
+          border-color: #008438;
+          box-shadow: none;
+          color: #008438; }
+      html.theme--documenter-dark .button.is-success.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #008438; }
+        html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #008438 #008438 !important; }
+        html.theme--documenter-dark .button.is-success.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-warning {
+      background-color: #ad8100;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-warning:hover, html.theme--documenter-dark .button.is-warning.is-hovered {
+        background-color: #a07700;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-warning:focus, html.theme--documenter-dark .button.is-warning.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-warning:focus:not(:active), html.theme--documenter-dark .button.is-warning.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); }
+      html.theme--documenter-dark .button.is-warning:active, html.theme--documenter-dark .button.is-warning.is-active {
+        background-color: #946e00;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-warning[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning {
+        background-color: #ad8100;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-warning.is-inverted {
+        background-color: #fff;
+        color: #ad8100; }
+        html.theme--documenter-dark .button.is-warning.is-inverted:hover, html.theme--documenter-dark .button.is-warning.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-warning.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #ad8100; }
+      html.theme--documenter-dark .button.is-warning.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-warning.is-outlined {
+        background-color: transparent;
+        border-color: #ad8100;
+        color: #ad8100; }
+        html.theme--documenter-dark .button.is-warning.is-outlined:hover, html.theme--documenter-dark .button.is-warning.is-outlined.is-hovered, html.theme--documenter-dark .button.is-warning.is-outlined:focus, html.theme--documenter-dark .button.is-warning.is-outlined.is-focused {
+          background-color: #ad8100;
+          border-color: #ad8100;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-warning.is-outlined.is-loading::after {
+          border-color: transparent transparent #ad8100 #ad8100 !important; }
+        html.theme--documenter-dark .button.is-warning.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-warning.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-outlined {
+          background-color: transparent;
+          border-color: #ad8100;
+          box-shadow: none;
+          color: #ad8100; }
+      html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #ad8100; }
+        html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #ad8100 #ad8100 !important; }
+        html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-danger {
+      background-color: #9e1b0d;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-danger:hover, html.theme--documenter-dark .button.is-danger.is-hovered {
+        background-color: #92190c;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-danger:focus, html.theme--documenter-dark .button.is-danger.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-danger:focus:not(:active), html.theme--documenter-dark .button.is-danger.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); }
+      html.theme--documenter-dark .button.is-danger:active, html.theme--documenter-dark .button.is-danger.is-active {
+        background-color: #86170b;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-danger[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger {
+        background-color: #9e1b0d;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-danger.is-inverted {
+        background-color: #fff;
+        color: #9e1b0d; }
+        html.theme--documenter-dark .button.is-danger.is-inverted:hover, html.theme--documenter-dark .button.is-danger.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-danger.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #9e1b0d; }
+      html.theme--documenter-dark .button.is-danger.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-danger.is-outlined {
+        background-color: transparent;
+        border-color: #9e1b0d;
+        color: #9e1b0d; }
+        html.theme--documenter-dark .button.is-danger.is-outlined:hover, html.theme--documenter-dark .button.is-danger.is-outlined.is-hovered, html.theme--documenter-dark .button.is-danger.is-outlined:focus, html.theme--documenter-dark .button.is-danger.is-outlined.is-focused {
+          background-color: #9e1b0d;
+          border-color: #9e1b0d;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-danger.is-outlined.is-loading::after {
+          border-color: transparent transparent #9e1b0d #9e1b0d !important; }
+        html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-danger.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-outlined {
+          background-color: transparent;
+          border-color: #9e1b0d;
+          box-shadow: none;
+          color: #9e1b0d; }
+      html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #9e1b0d; }
+        html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #9e1b0d #9e1b0d !important; }
+        html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.button {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .button.is-normal {
+      font-size: 15px; }
+    html.theme--documenter-dark .button.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .button.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .button[disabled], fieldset[disabled] html.theme--documenter-dark .button {
+      background-color: #8c9b9d;
+      border-color: #dbdee0;
+      box-shadow: none;
+      opacity: 0.5; }
+    html.theme--documenter-dark .button.is-fullwidth {
+      display: flex;
+      width: 100%; }
+    html.theme--documenter-dark .button.is-loading {
+      color: transparent !important;
+      pointer-events: none; }
+      html.theme--documenter-dark .button.is-loading::after {
+        position: absolute;
+        left: calc(50% - (1em / 2));
+        top: calc(50% - (1em / 2));
+        position: absolute !important; }
+    html.theme--documenter-dark .button.is-static {
+      background-color: #282f2f;
+      border-color: #5e6d6f;
+      color: #dbdee0;
+      box-shadow: none;
+      pointer-events: none; }
+    html.theme--documenter-dark .button.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.button {
+      border-radius: 290486px;
+      padding-left: 1em;
+      padding-right: 1em; }
+  html.theme--documenter-dark .buttons {
+    align-items: center;
+    display: flex;
+    flex-wrap: wrap;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .buttons .button {
+      margin-bottom: 0.5rem; }
+      html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth) {
+        margin-right: 0.5rem; }
+    html.theme--documenter-dark .buttons:last-child {
+      margin-bottom: -0.5rem; }
+    html.theme--documenter-dark .buttons:not(:last-child) {
+      margin-bottom: 1rem; }
+    html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large) {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large) {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium) {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .buttons.has-addons .button:not(:first-child) {
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    html.theme--documenter-dark .buttons.has-addons .button:not(:last-child) {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0;
+      margin-right: -1px; }
+    html.theme--documenter-dark .buttons.has-addons .button:last-child {
+      margin-right: 0; }
+    html.theme--documenter-dark .buttons.has-addons .button:hover, html.theme--documenter-dark .buttons.has-addons .button.is-hovered {
+      z-index: 2; }
+    html.theme--documenter-dark .buttons.has-addons .button:focus, html.theme--documenter-dark .buttons.has-addons .button.is-focused, html.theme--documenter-dark .buttons.has-addons .button:active, html.theme--documenter-dark .buttons.has-addons .button.is-active, html.theme--documenter-dark .buttons.has-addons .button.is-selected {
+      z-index: 3; }
+      html.theme--documenter-dark .buttons.has-addons .button:focus:hover, html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover, html.theme--documenter-dark .buttons.has-addons .button:active:hover, html.theme--documenter-dark .buttons.has-addons .button.is-active:hover, html.theme--documenter-dark .buttons.has-addons .button.is-selected:hover {
+        z-index: 4; }
+    html.theme--documenter-dark .buttons.has-addons .button.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .buttons.is-centered {
+      justify-content: center; }
+      html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth) {
+        margin-left: 0.25rem;
+        margin-right: 0.25rem; }
+    html.theme--documenter-dark .buttons.is-right {
+      justify-content: flex-end; }
+      html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth) {
+        margin-left: 0.25rem;
+        margin-right: 0.25rem; }
+  html.theme--documenter-dark .container {
+    flex-grow: 1;
+    margin: 0 auto;
+    position: relative;
+    width: auto; }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .container {
+        max-width: 992px; }
+        html.theme--documenter-dark .container.is-fluid {
+          margin-left: 32px;
+          margin-right: 32px;
+          max-width: none; } }
+    @media screen and (max-width: 1215px) {
+      html.theme--documenter-dark .container.is-widescreen {
+        max-width: 1152px; } }
+    @media screen and (max-width: 1407px) {
+      html.theme--documenter-dark .container.is-fullhd {
+        max-width: 1344px; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .container {
+        max-width: 1152px; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .container {
+        max-width: 1344px; } }
+  html.theme--documenter-dark .content li + li {
+    margin-top: 0.25em; }
+  html.theme--documenter-dark .content p:not(:last-child),
+  html.theme--documenter-dark .content dl:not(:last-child),
+  html.theme--documenter-dark .content ol:not(:last-child),
+  html.theme--documenter-dark .content ul:not(:last-child),
+  html.theme--documenter-dark .content blockquote:not(:last-child),
+  html.theme--documenter-dark .content pre:not(:last-child),
+  html.theme--documenter-dark .content table:not(:last-child) {
+    margin-bottom: 1em; }
+  html.theme--documenter-dark .content h1,
+  html.theme--documenter-dark .content h2,
+  html.theme--documenter-dark .content h3,
+  html.theme--documenter-dark .content h4,
+  html.theme--documenter-dark .content h5,
+  html.theme--documenter-dark .content h6 {
+    color: #f2f2f2;
+    font-weight: 600;
+    line-height: 1.125; }
+  html.theme--documenter-dark .content h1 {
+    font-size: 2em;
+    margin-bottom: 0.5em; }
+    html.theme--documenter-dark .content h1:not(:first-child) {
+      margin-top: 1em; }
+  html.theme--documenter-dark .content h2 {
+    font-size: 1.75em;
+    margin-bottom: 0.5714em; }
+    html.theme--documenter-dark .content h2:not(:first-child) {
+      margin-top: 1.1428em; }
+  html.theme--documenter-dark .content h3 {
+    font-size: 1.5em;
+    margin-bottom: 0.6666em; }
+    html.theme--documenter-dark .content h3:not(:first-child) {
+      margin-top: 1.3333em; }
+  html.theme--documenter-dark .content h4 {
+    font-size: 1.25em;
+    margin-bottom: 0.8em; }
+  html.theme--documenter-dark .content h5 {
+    font-size: 1.125em;
+    margin-bottom: 0.8888em; }
+  html.theme--documenter-dark .content h6 {
+    font-size: 1em;
+    margin-bottom: 1em; }
+  html.theme--documenter-dark .content blockquote {
+    background-color: #282f2f;
+    border-left: 5px solid #5e6d6f;
+    padding: 1.25em 1.5em; }
+  html.theme--documenter-dark .content ol {
+    list-style-position: outside;
+    margin-left: 2em;
+    margin-top: 1em; }
+    html.theme--documenter-dark .content ol:not([type]) {
+      list-style-type: decimal; }
+      html.theme--documenter-dark .content ol.is-lower-alpha:not([type]) {
+        list-style-type: lower-alpha; }
+      html.theme--documenter-dark .content ol.is-lower-roman:not([type]) {
+        list-style-type: lower-roman; }
+      html.theme--documenter-dark .content ol.is-upper-alpha:not([type]) {
+        list-style-type: upper-alpha; }
+      html.theme--documenter-dark .content ol.is-upper-roman:not([type]) {
+        list-style-type: upper-roman; }
+  html.theme--documenter-dark .content ul {
+    list-style: disc outside;
+    margin-left: 2em;
+    margin-top: 1em; }
+    html.theme--documenter-dark .content ul ul {
+      list-style-type: circle;
+      margin-top: 0.5em; }
+      html.theme--documenter-dark .content ul ul ul {
+        list-style-type: square; }
+  html.theme--documenter-dark .content dd {
+    margin-left: 2em; }
+  html.theme--documenter-dark .content figure {
+    margin-left: 2em;
+    margin-right: 2em;
+    text-align: center; }
+    html.theme--documenter-dark .content figure:not(:first-child) {
+      margin-top: 2em; }
+    html.theme--documenter-dark .content figure:not(:last-child) {
+      margin-bottom: 2em; }
+    html.theme--documenter-dark .content figure img {
+      display: inline-block; }
+    html.theme--documenter-dark .content figure figcaption {
+      font-style: italic; }
+  html.theme--documenter-dark .content pre {
+    -webkit-overflow-scrolling: touch;
+    overflow-x: auto;
+    padding: 0;
+    white-space: pre;
+    word-wrap: normal; }
+  html.theme--documenter-dark .content sup,
+  html.theme--documenter-dark .content sub {
+    font-size: 75%; }
+  html.theme--documenter-dark .content table {
+    width: 100%; }
+    html.theme--documenter-dark .content table td,
+    html.theme--documenter-dark .content table th {
+      border: 1px solid #5e6d6f;
+      border-width: 0 0 1px;
+      padding: 0.5em 0.75em;
+      vertical-align: top; }
+    html.theme--documenter-dark .content table th {
+      color: #f2f2f2; }
+      html.theme--documenter-dark .content table th:not([align]) {
+        text-align: left; }
+    html.theme--documenter-dark .content table thead td,
+    html.theme--documenter-dark .content table thead th {
+      border-width: 0 0 2px;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .content table tfoot td,
+    html.theme--documenter-dark .content table tfoot th {
+      border-width: 2px 0 0;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .content table tbody tr:last-child td,
+    html.theme--documenter-dark .content table tbody tr:last-child th {
+      border-bottom-width: 0; }
+  html.theme--documenter-dark .content .tabs li + li {
+    margin-top: 0; }
+  html.theme--documenter-dark .content.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.content {
+    font-size: 0.85em; }
+  html.theme--documenter-dark .content.is-medium {
+    font-size: 1.25rem; }
+  html.theme--documenter-dark .content.is-large {
+    font-size: 1.5rem; }
+  html.theme--documenter-dark .icon {
+    align-items: center;
+    display: inline-flex;
+    justify-content: center;
+    height: 1.5rem;
+    width: 1.5rem; }
+    html.theme--documenter-dark .icon.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.icon {
+      height: 1rem;
+      width: 1rem; }
+    html.theme--documenter-dark .icon.is-medium {
+      height: 2rem;
+      width: 2rem; }
+    html.theme--documenter-dark .icon.is-large {
+      height: 3rem;
+      width: 3rem; }
+  html.theme--documenter-dark .image, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img {
+    display: block;
+    position: relative; }
+    html.theme--documenter-dark .image img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img img {
+      display: block;
+      height: auto;
+      width: 100%; }
+      html.theme--documenter-dark .image img.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img img.is-rounded {
+        border-radius: 290486px; }
+    html.theme--documenter-dark .image.is-square img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square img,
+    html.theme--documenter-dark .image.is-square .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, html.theme--documenter-dark .image.is-1by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+    html.theme--documenter-dark .image.is-1by1 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, html.theme--documenter-dark .image.is-5by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+    html.theme--documenter-dark .image.is-5by4 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, html.theme--documenter-dark .image.is-4by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+    html.theme--documenter-dark .image.is-4by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, html.theme--documenter-dark .image.is-3by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+    html.theme--documenter-dark .image.is-3by2 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, html.theme--documenter-dark .image.is-5by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+    html.theme--documenter-dark .image.is-5by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, html.theme--documenter-dark .image.is-16by9 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+    html.theme--documenter-dark .image.is-16by9 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, html.theme--documenter-dark .image.is-2by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+    html.theme--documenter-dark .image.is-2by1 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, html.theme--documenter-dark .image.is-3by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+    html.theme--documenter-dark .image.is-3by1 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, html.theme--documenter-dark .image.is-4by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+    html.theme--documenter-dark .image.is-4by5 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, html.theme--documenter-dark .image.is-3by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+    html.theme--documenter-dark .image.is-3by4 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, html.theme--documenter-dark .image.is-2by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+    html.theme--documenter-dark .image.is-2by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, html.theme--documenter-dark .image.is-3by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+    html.theme--documenter-dark .image.is-3by5 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, html.theme--documenter-dark .image.is-9by16 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+    html.theme--documenter-dark .image.is-9by16 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, html.theme--documenter-dark .image.is-1by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+    html.theme--documenter-dark .image.is-1by2 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, html.theme--documenter-dark .image.is-1by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+    html.theme--documenter-dark .image.is-1by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio {
+      height: 100%;
+      width: 100%; }
+    html.theme--documenter-dark .image.is-square, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square, html.theme--documenter-dark .image.is-1by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 {
+      padding-top: 100%; }
+    html.theme--documenter-dark .image.is-5by4, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 {
+      padding-top: 80%; }
+    html.theme--documenter-dark .image.is-4by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 {
+      padding-top: 75%; }
+    html.theme--documenter-dark .image.is-3by2, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 {
+      padding-top: 66.6666%; }
+    html.theme--documenter-dark .image.is-5by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 {
+      padding-top: 60%; }
+    html.theme--documenter-dark .image.is-16by9, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 {
+      padding-top: 56.25%; }
+    html.theme--documenter-dark .image.is-2by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 {
+      padding-top: 50%; }
+    html.theme--documenter-dark .image.is-3by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 {
+      padding-top: 33.3333%; }
+    html.theme--documenter-dark .image.is-4by5, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 {
+      padding-top: 125%; }
+    html.theme--documenter-dark .image.is-3by4, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 {
+      padding-top: 133.3333%; }
+    html.theme--documenter-dark .image.is-2by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 {
+      padding-top: 150%; }
+    html.theme--documenter-dark .image.is-3by5, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 {
+      padding-top: 166.6666%; }
+    html.theme--documenter-dark .image.is-9by16, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 {
+      padding-top: 177.7777%; }
+    html.theme--documenter-dark .image.is-1by2, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 {
+      padding-top: 200%; }
+    html.theme--documenter-dark .image.is-1by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 {
+      padding-top: 300%; }
+    html.theme--documenter-dark .image.is-16x16, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16x16 {
+      height: 16px;
+      width: 16px; }
+    html.theme--documenter-dark .image.is-24x24, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-24x24 {
+      height: 24px;
+      width: 24px; }
+    html.theme--documenter-dark .image.is-32x32, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-32x32 {
+      height: 32px;
+      width: 32px; }
+    html.theme--documenter-dark .image.is-48x48, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-48x48 {
+      height: 48px;
+      width: 48px; }
+    html.theme--documenter-dark .image.is-64x64, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-64x64 {
+      height: 64px;
+      width: 64px; }
+    html.theme--documenter-dark .image.is-96x96, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-96x96 {
+      height: 96px;
+      width: 96px; }
+    html.theme--documenter-dark .image.is-128x128, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-128x128 {
+      height: 128px;
+      width: 128px; }
+  html.theme--documenter-dark .notification {
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    padding: 1.25rem 2.5rem 1.25rem 1.5rem;
+    position: relative; }
+    html.theme--documenter-dark .notification a:not(.button):not(.dropdown-item) {
+      color: currentColor;
+      text-decoration: underline; }
+    html.theme--documenter-dark .notification strong {
+      color: currentColor; }
+    html.theme--documenter-dark .notification code,
+    html.theme--documenter-dark .notification pre {
+      background: white; }
+    html.theme--documenter-dark .notification pre code {
+      background: transparent; }
+    html.theme--documenter-dark .notification > .delete {
+      position: absolute;
+      right: 0.5rem;
+      top: 0.5rem; }
+    html.theme--documenter-dark .notification .title,
+    html.theme--documenter-dark .notification .subtitle,
+    html.theme--documenter-dark .notification .content {
+      color: currentColor; }
+    html.theme--documenter-dark .notification.is-white {
+      background-color: white;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .notification.is-black {
+      background-color: #0a0a0a;
+      color: white; }
+    html.theme--documenter-dark .notification.is-light {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+    html.theme--documenter-dark .notification.is-dark, html.theme--documenter-dark .content kbd.notification {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .notification.is-primary, html.theme--documenter-dark .docstring > section > a.notification.docs-sourcelink {
+      background-color: #375a7f;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-link {
+      background-color: #1abc9c;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-info {
+      background-color: #024c7d;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-success {
+      background-color: #008438;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-warning {
+      background-color: #ad8100;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-danger {
+      background-color: #9e1b0d;
+      color: #fff; }
+  html.theme--documenter-dark .progress {
+    -moz-appearance: none;
+    -webkit-appearance: none;
+    border: none;
+    border-radius: 290486px;
+    display: block;
+    height: 15px;
+    overflow: hidden;
+    padding: 0;
+    width: 100%; }
+    html.theme--documenter-dark .progress::-webkit-progress-bar {
+      background-color: #5e6d6f; }
+    html.theme--documenter-dark .progress::-webkit-progress-value {
+      background-color: #dbdee0; }
+    html.theme--documenter-dark .progress::-moz-progress-bar {
+      background-color: #dbdee0; }
+    html.theme--documenter-dark .progress::-ms-fill {
+      background-color: #dbdee0;
+      border: none; }
+    html.theme--documenter-dark .progress.is-white::-webkit-progress-value {
+      background-color: white; }
+    html.theme--documenter-dark .progress.is-white::-moz-progress-bar {
+      background-color: white; }
+    html.theme--documenter-dark .progress.is-white::-ms-fill {
+      background-color: white; }
+    html.theme--documenter-dark .progress.is-white:indeterminate {
+      background-image: linear-gradient(to right, white 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-black::-webkit-progress-value {
+      background-color: #0a0a0a; }
+    html.theme--documenter-dark .progress.is-black::-moz-progress-bar {
+      background-color: #0a0a0a; }
+    html.theme--documenter-dark .progress.is-black::-ms-fill {
+      background-color: #0a0a0a; }
+    html.theme--documenter-dark .progress.is-black:indeterminate {
+      background-image: linear-gradient(to right, #0a0a0a 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-light::-webkit-progress-value {
+      background-color: #ecf0f1; }
+    html.theme--documenter-dark .progress.is-light::-moz-progress-bar {
+      background-color: #ecf0f1; }
+    html.theme--documenter-dark .progress.is-light::-ms-fill {
+      background-color: #ecf0f1; }
+    html.theme--documenter-dark .progress.is-light:indeterminate {
+      background-image: linear-gradient(to right, #ecf0f1 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-dark::-webkit-progress-value, html.theme--documenter-dark .content kbd.progress::-webkit-progress-value {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .progress.is-dark::-moz-progress-bar, html.theme--documenter-dark .content kbd.progress::-moz-progress-bar {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .progress.is-dark::-ms-fill, html.theme--documenter-dark .content kbd.progress::-ms-fill {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .progress.is-dark:indeterminate, html.theme--documenter-dark .content kbd.progress:indeterminate {
+      background-image: linear-gradient(to right, #282f2f 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-primary::-webkit-progress-value, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-webkit-progress-value {
+      background-color: #375a7f; }
+    html.theme--documenter-dark .progress.is-primary::-moz-progress-bar, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-moz-progress-bar {
+      background-color: #375a7f; }
+    html.theme--documenter-dark .progress.is-primary::-ms-fill, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-ms-fill {
+      background-color: #375a7f; }
+    html.theme--documenter-dark .progress.is-primary:indeterminate, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink:indeterminate {
+      background-image: linear-gradient(to right, #375a7f 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-link::-webkit-progress-value {
+      background-color: #1abc9c; }
+    html.theme--documenter-dark .progress.is-link::-moz-progress-bar {
+      background-color: #1abc9c; }
+    html.theme--documenter-dark .progress.is-link::-ms-fill {
+      background-color: #1abc9c; }
+    html.theme--documenter-dark .progress.is-link:indeterminate {
+      background-image: linear-gradient(to right, #1abc9c 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-info::-webkit-progress-value {
+      background-color: #024c7d; }
+    html.theme--documenter-dark .progress.is-info::-moz-progress-bar {
+      background-color: #024c7d; }
+    html.theme--documenter-dark .progress.is-info::-ms-fill {
+      background-color: #024c7d; }
+    html.theme--documenter-dark .progress.is-info:indeterminate {
+      background-image: linear-gradient(to right, #024c7d 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-success::-webkit-progress-value {
+      background-color: #008438; }
+    html.theme--documenter-dark .progress.is-success::-moz-progress-bar {
+      background-color: #008438; }
+    html.theme--documenter-dark .progress.is-success::-ms-fill {
+      background-color: #008438; }
+    html.theme--documenter-dark .progress.is-success:indeterminate {
+      background-image: linear-gradient(to right, #008438 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-warning::-webkit-progress-value {
+      background-color: #ad8100; }
+    html.theme--documenter-dark .progress.is-warning::-moz-progress-bar {
+      background-color: #ad8100; }
+    html.theme--documenter-dark .progress.is-warning::-ms-fill {
+      background-color: #ad8100; }
+    html.theme--documenter-dark .progress.is-warning:indeterminate {
+      background-image: linear-gradient(to right, #ad8100 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-danger::-webkit-progress-value {
+      background-color: #9e1b0d; }
+    html.theme--documenter-dark .progress.is-danger::-moz-progress-bar {
+      background-color: #9e1b0d; }
+    html.theme--documenter-dark .progress.is-danger::-ms-fill {
+      background-color: #9e1b0d; }
+    html.theme--documenter-dark .progress.is-danger:indeterminate {
+      background-image: linear-gradient(to right, #9e1b0d 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress:indeterminate {
+      animation-duration: 1.5s;
+      animation-iteration-count: infinite;
+      animation-name: moveIndeterminate;
+      animation-timing-function: linear;
+      background-color: #5e6d6f;
+      background-image: linear-gradient(to right, #fff 30%, #5e6d6f 30%);
+      background-position: top left;
+      background-repeat: no-repeat;
+      background-size: 150% 150%; }
+      html.theme--documenter-dark .progress:indeterminate::-webkit-progress-bar {
+        background-color: transparent; }
+      html.theme--documenter-dark .progress:indeterminate::-moz-progress-bar {
+        background-color: transparent; }
+    html.theme--documenter-dark .progress.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.progress {
+      height: 0.85em; }
+    html.theme--documenter-dark .progress.is-medium {
+      height: 1.25rem; }
+    html.theme--documenter-dark .progress.is-large {
+      height: 1.5rem; }
+
+@keyframes moveIndeterminate {
+  from {
+    background-position: 200% 0; }
+  to {
+    background-position: -200% 0; } }
+  html.theme--documenter-dark .table {
+    background-color: #343c3d;
+    color: #fff; }
+    html.theme--documenter-dark .table td,
+    html.theme--documenter-dark .table th {
+      border: 1px solid #5e6d6f;
+      border-width: 0 0 1px;
+      padding: 0.5em 0.75em;
+      vertical-align: top; }
+      html.theme--documenter-dark .table td.is-white,
+      html.theme--documenter-dark .table th.is-white {
+        background-color: white;
+        border-color: white;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .table td.is-black,
+      html.theme--documenter-dark .table th.is-black {
+        background-color: #0a0a0a;
+        border-color: #0a0a0a;
+        color: white; }
+      html.theme--documenter-dark .table td.is-light,
+      html.theme--documenter-dark .table th.is-light {
+        background-color: #ecf0f1;
+        border-color: #ecf0f1;
+        color: #282f2f; }
+      html.theme--documenter-dark .table td.is-dark,
+      html.theme--documenter-dark .table th.is-dark {
+        background-color: #282f2f;
+        border-color: #282f2f;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .table td.is-primary,
+      html.theme--documenter-dark .table th.is-primary {
+        background-color: #375a7f;
+        border-color: #375a7f;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-link,
+      html.theme--documenter-dark .table th.is-link {
+        background-color: #1abc9c;
+        border-color: #1abc9c;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-info,
+      html.theme--documenter-dark .table th.is-info {
+        background-color: #024c7d;
+        border-color: #024c7d;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-success,
+      html.theme--documenter-dark .table th.is-success {
+        background-color: #008438;
+        border-color: #008438;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-warning,
+      html.theme--documenter-dark .table th.is-warning {
+        background-color: #ad8100;
+        border-color: #ad8100;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-danger,
+      html.theme--documenter-dark .table th.is-danger {
+        background-color: #9e1b0d;
+        border-color: #9e1b0d;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-narrow,
+      html.theme--documenter-dark .table th.is-narrow {
+        white-space: nowrap;
+        width: 1%; }
+      html.theme--documenter-dark .table td.is-selected,
+      html.theme--documenter-dark .table th.is-selected {
+        background-color: #375a7f;
+        color: #fff; }
+        html.theme--documenter-dark .table td.is-selected a,
+        html.theme--documenter-dark .table td.is-selected strong,
+        html.theme--documenter-dark .table th.is-selected a,
+        html.theme--documenter-dark .table th.is-selected strong {
+          color: currentColor; }
+    html.theme--documenter-dark .table th {
+      color: #f2f2f2; }
+      html.theme--documenter-dark .table th:not([align]) {
+        text-align: left; }
+    html.theme--documenter-dark .table tr.is-selected {
+      background-color: #375a7f;
+      color: #fff; }
+      html.theme--documenter-dark .table tr.is-selected a,
+      html.theme--documenter-dark .table tr.is-selected strong {
+        color: currentColor; }
+      html.theme--documenter-dark .table tr.is-selected td,
+      html.theme--documenter-dark .table tr.is-selected th {
+        border-color: #fff;
+        color: currentColor; }
+    html.theme--documenter-dark .table thead {
+      background-color: transparent; }
+      html.theme--documenter-dark .table thead td,
+      html.theme--documenter-dark .table thead th {
+        border-width: 0 0 2px;
+        color: #f2f2f2; }
+    html.theme--documenter-dark .table tfoot {
+      background-color: transparent; }
+      html.theme--documenter-dark .table tfoot td,
+      html.theme--documenter-dark .table tfoot th {
+        border-width: 2px 0 0;
+        color: #f2f2f2; }
+    html.theme--documenter-dark .table tbody {
+      background-color: transparent; }
+      html.theme--documenter-dark .table tbody tr:last-child td,
+      html.theme--documenter-dark .table tbody tr:last-child th {
+        border-bottom-width: 0; }
+    html.theme--documenter-dark .table.is-bordered td,
+    html.theme--documenter-dark .table.is-bordered th {
+      border-width: 1px; }
+    html.theme--documenter-dark .table.is-bordered tr:last-child td,
+    html.theme--documenter-dark .table.is-bordered tr:last-child th {
+      border-bottom-width: 1px; }
+    html.theme--documenter-dark .table.is-fullwidth {
+      width: 100%; }
+    html.theme--documenter-dark .table.is-hoverable tbody tr:not(.is-selected):hover {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover {
+      background-color: #282f2f; }
+      html.theme--documenter-dark .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover:nth-child(even) {
+        background-color: #2d3435; }
+    html.theme--documenter-dark .table.is-narrow td,
+    html.theme--documenter-dark .table.is-narrow th {
+      padding: 0.25em 0.5em; }
+    html.theme--documenter-dark .table.is-striped tbody tr:not(.is-selected):nth-child(even) {
+      background-color: #282f2f; }
+  html.theme--documenter-dark .table-container {
+    -webkit-overflow-scrolling: touch;
+    overflow: auto;
+    overflow-y: hidden;
+    max-width: 100%; }
+  html.theme--documenter-dark .tags {
+    align-items: center;
+    display: flex;
+    flex-wrap: wrap;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .tags .tag, html.theme--documenter-dark .tags .content kbd, html.theme--documenter-dark .content .tags kbd, html.theme--documenter-dark .tags .docstring > section > a.docs-sourcelink {
+      margin-bottom: 0.5rem; }
+      html.theme--documenter-dark .tags .tag:not(:last-child), html.theme--documenter-dark .tags .content kbd:not(:last-child), html.theme--documenter-dark .content .tags kbd:not(:last-child), html.theme--documenter-dark .tags .docstring > section > a.docs-sourcelink:not(:last-child) {
+        margin-right: 0.5rem; }
+    html.theme--documenter-dark .tags:last-child {
+      margin-bottom: -0.5rem; }
+    html.theme--documenter-dark .tags:not(:last-child) {
+      margin-bottom: 1rem; }
+    html.theme--documenter-dark .tags.are-medium .tag:not(.is-normal):not(.is-large), html.theme--documenter-dark .tags.are-medium .content kbd:not(.is-normal):not(.is-large), html.theme--documenter-dark .content .tags.are-medium kbd:not(.is-normal):not(.is-large), html.theme--documenter-dark .tags.are-medium .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-large) {
+      font-size: 15px; }
+    html.theme--documenter-dark .tags.are-large .tag:not(.is-normal):not(.is-medium), html.theme--documenter-dark .tags.are-large .content kbd:not(.is-normal):not(.is-medium), html.theme--documenter-dark .content .tags.are-large kbd:not(.is-normal):not(.is-medium), html.theme--documenter-dark .tags.are-large .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-medium) {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .tags.is-centered {
+      justify-content: center; }
+      html.theme--documenter-dark .tags.is-centered .tag, html.theme--documenter-dark .tags.is-centered .content kbd, html.theme--documenter-dark .content .tags.is-centered kbd, html.theme--documenter-dark .tags.is-centered .docstring > section > a.docs-sourcelink {
+        margin-right: 0.25rem;
+        margin-left: 0.25rem; }
+    html.theme--documenter-dark .tags.is-right {
+      justify-content: flex-end; }
+      html.theme--documenter-dark .tags.is-right .tag:not(:first-child), html.theme--documenter-dark .tags.is-right .content kbd:not(:first-child), html.theme--documenter-dark .content .tags.is-right kbd:not(:first-child), html.theme--documenter-dark .tags.is-right .docstring > section > a.docs-sourcelink:not(:first-child) {
+        margin-left: 0.5rem; }
+      html.theme--documenter-dark .tags.is-right .tag:not(:last-child), html.theme--documenter-dark .tags.is-right .content kbd:not(:last-child), html.theme--documenter-dark .content .tags.is-right kbd:not(:last-child), html.theme--documenter-dark .tags.is-right .docstring > section > a.docs-sourcelink:not(:last-child) {
+        margin-right: 0; }
+    html.theme--documenter-dark .tags.has-addons .tag, html.theme--documenter-dark .tags.has-addons .content kbd, html.theme--documenter-dark .content .tags.has-addons kbd, html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink {
+      margin-right: 0; }
+      html.theme--documenter-dark .tags.has-addons .tag:not(:first-child), html.theme--documenter-dark .tags.has-addons .content kbd:not(:first-child), html.theme--documenter-dark .content .tags.has-addons kbd:not(:first-child), html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink:not(:first-child) {
+        margin-left: 0;
+        border-bottom-left-radius: 0;
+        border-top-left-radius: 0; }
+      html.theme--documenter-dark .tags.has-addons .tag:not(:last-child), html.theme--documenter-dark .tags.has-addons .content kbd:not(:last-child), html.theme--documenter-dark .content .tags.has-addons kbd:not(:last-child), html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink:not(:last-child) {
+        border-bottom-right-radius: 0;
+        border-top-right-radius: 0; }
+  html.theme--documenter-dark .tag:not(body), html.theme--documenter-dark .content kbd:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) {
+    align-items: center;
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    color: #fff;
+    display: inline-flex;
+    font-size: 0.85em;
+    height: 2em;
+    justify-content: center;
+    line-height: 1.5;
+    padding-left: 0.75em;
+    padding-right: 0.75em;
+    white-space: nowrap; }
+    html.theme--documenter-dark .tag:not(body) .delete, html.theme--documenter-dark .content kbd:not(body) .delete, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .delete {
+      margin-left: 0.25rem;
+      margin-right: -0.375rem; }
+    html.theme--documenter-dark .tag.is-white:not(body), html.theme--documenter-dark .content kbd.is-white:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-white:not(body) {
+      background-color: white;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .tag.is-black:not(body), html.theme--documenter-dark .content kbd.is-black:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-black:not(body) {
+      background-color: #0a0a0a;
+      color: white; }
+    html.theme--documenter-dark .tag.is-light:not(body), html.theme--documenter-dark .content kbd.is-light:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-light:not(body) {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+    html.theme--documenter-dark .tag.is-dark:not(body), html.theme--documenter-dark .content kbd:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-dark:not(body), html.theme--documenter-dark .content .docstring > section > kbd:not(body) {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .tag.is-primary:not(body), html.theme--documenter-dark .content kbd.is-primary:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) {
+      background-color: #375a7f;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-link:not(body), html.theme--documenter-dark .content kbd.is-link:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-link:not(body) {
+      background-color: #1abc9c;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-info:not(body), html.theme--documenter-dark .content kbd.is-info:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-info:not(body) {
+      background-color: #024c7d;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-success:not(body), html.theme--documenter-dark .content kbd.is-success:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-success:not(body) {
+      background-color: #008438;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-warning:not(body), html.theme--documenter-dark .content kbd.is-warning:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-warning:not(body) {
+      background-color: #ad8100;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-danger:not(body), html.theme--documenter-dark .content kbd.is-danger:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-danger:not(body) {
+      background-color: #9e1b0d;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-normal:not(body), html.theme--documenter-dark .content kbd.is-normal:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-normal:not(body) {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .tag.is-medium:not(body), html.theme--documenter-dark .content kbd.is-medium:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-medium:not(body) {
+      font-size: 15px; }
+    html.theme--documenter-dark .tag.is-large:not(body), html.theme--documenter-dark .content kbd.is-large:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-large:not(body) {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .tag:not(body) .icon:first-child:not(:last-child), html.theme--documenter-dark .content kbd:not(body) .icon:first-child:not(:last-child), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:not(:last-child) {
+      margin-left: -0.375em;
+      margin-right: 0.1875em; }
+    html.theme--documenter-dark .tag:not(body) .icon:last-child:not(:first-child), html.theme--documenter-dark .content kbd:not(body) .icon:last-child:not(:first-child), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:last-child:not(:first-child) {
+      margin-left: 0.1875em;
+      margin-right: -0.375em; }
+    html.theme--documenter-dark .tag:not(body) .icon:first-child:last-child, html.theme--documenter-dark .content kbd:not(body) .icon:first-child:last-child, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:last-child {
+      margin-left: -0.375em;
+      margin-right: -0.375em; }
+    html.theme--documenter-dark .tag.is-delete:not(body), html.theme--documenter-dark .content kbd.is-delete:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body) {
+      margin-left: 1px;
+      padding: 0;
+      position: relative;
+      width: 2em; }
+      html.theme--documenter-dark .tag.is-delete:not(body)::before, html.theme--documenter-dark .content kbd.is-delete:not(body)::before, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::before, html.theme--documenter-dark .tag.is-delete:not(body)::after, html.theme--documenter-dark .content kbd.is-delete:not(body)::after, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+        background-color: currentColor;
+        content: "";
+        display: block;
+        left: 50%;
+        position: absolute;
+        top: 50%;
+        transform: translateX(-50%) translateY(-50%) rotate(45deg);
+        transform-origin: center center; }
+      html.theme--documenter-dark .tag.is-delete:not(body)::before, html.theme--documenter-dark .content kbd.is-delete:not(body)::before, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::before {
+        height: 1px;
+        width: 50%; }
+      html.theme--documenter-dark .tag.is-delete:not(body)::after, html.theme--documenter-dark .content kbd.is-delete:not(body)::after, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+        height: 50%;
+        width: 1px; }
+      html.theme--documenter-dark .tag.is-delete:not(body):hover, html.theme--documenter-dark .content kbd.is-delete:not(body):hover, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):hover, html.theme--documenter-dark .tag.is-delete:not(body):focus, html.theme--documenter-dark .content kbd.is-delete:not(body):focus, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):focus {
+        background-color: #1d2122; }
+      html.theme--documenter-dark .tag.is-delete:not(body):active, html.theme--documenter-dark .content kbd.is-delete:not(body):active, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):active {
+        background-color: #111414; }
+    html.theme--documenter-dark .tag.is-rounded:not(body), html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:not(body), html.theme--documenter-dark .content kbd.is-rounded:not(body), html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-rounded:not(body) {
+      border-radius: 290486px; }
+  html.theme--documenter-dark a.tag:hover, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:hover {
+    text-decoration: underline; }
+  html.theme--documenter-dark .title,
+  html.theme--documenter-dark .subtitle {
+    word-break: break-word; }
+    html.theme--documenter-dark .title em,
+    html.theme--documenter-dark .title span,
+    html.theme--documenter-dark .subtitle em,
+    html.theme--documenter-dark .subtitle span {
+      font-weight: inherit; }
+    html.theme--documenter-dark .title sub,
+    html.theme--documenter-dark .subtitle sub {
+      font-size: 0.75em; }
+    html.theme--documenter-dark .title sup,
+    html.theme--documenter-dark .subtitle sup {
+      font-size: 0.75em; }
+    html.theme--documenter-dark .title .tag, html.theme--documenter-dark .title .content kbd, html.theme--documenter-dark .content .title kbd, html.theme--documenter-dark .title .docstring > section > a.docs-sourcelink,
+    html.theme--documenter-dark .subtitle .tag,
+    html.theme--documenter-dark .subtitle .content kbd,
+    html.theme--documenter-dark .content .subtitle kbd,
+    html.theme--documenter-dark .subtitle .docstring > section > a.docs-sourcelink {
+      vertical-align: middle; }
+  html.theme--documenter-dark .title {
+    color: #fff;
+    font-size: 2rem;
+    font-weight: 500;
+    line-height: 1.125; }
+    html.theme--documenter-dark .title strong {
+      color: inherit;
+      font-weight: inherit; }
+    html.theme--documenter-dark .title + .highlight {
+      margin-top: -0.75rem; }
+    html.theme--documenter-dark .title:not(.is-spaced) + .subtitle {
+      margin-top: -1.25rem; }
+    html.theme--documenter-dark .title.is-1 {
+      font-size: 3rem; }
+    html.theme--documenter-dark .title.is-2 {
+      font-size: 2.5rem; }
+    html.theme--documenter-dark .title.is-3 {
+      font-size: 2rem; }
+    html.theme--documenter-dark .title.is-4 {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .title.is-5 {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .title.is-6 {
+      font-size: 15px; }
+    html.theme--documenter-dark .title.is-7 {
+      font-size: 0.85em; }
+  html.theme--documenter-dark .subtitle {
+    color: #8c9b9d;
+    font-size: 1.25rem;
+    font-weight: 400;
+    line-height: 1.25; }
+    html.theme--documenter-dark .subtitle strong {
+      color: #8c9b9d;
+      font-weight: 600; }
+    html.theme--documenter-dark .subtitle:not(.is-spaced) + .title {
+      margin-top: -1.25rem; }
+    html.theme--documenter-dark .subtitle.is-1 {
+      font-size: 3rem; }
+    html.theme--documenter-dark .subtitle.is-2 {
+      font-size: 2.5rem; }
+    html.theme--documenter-dark .subtitle.is-3 {
+      font-size: 2rem; }
+    html.theme--documenter-dark .subtitle.is-4 {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .subtitle.is-5 {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .subtitle.is-6 {
+      font-size: 15px; }
+    html.theme--documenter-dark .subtitle.is-7 {
+      font-size: 0.85em; }
+  html.theme--documenter-dark .heading {
+    display: block;
+    font-size: 11px;
+    letter-spacing: 1px;
+    margin-bottom: 5px;
+    text-transform: uppercase; }
+  html.theme--documenter-dark .highlight {
+    font-weight: 400;
+    max-width: 100%;
+    overflow: hidden;
+    padding: 0; }
+    html.theme--documenter-dark .highlight pre {
+      overflow: auto;
+      max-width: 100%; }
+  html.theme--documenter-dark .number {
+    align-items: center;
+    background-color: #282f2f;
+    border-radius: 290486px;
+    display: inline-flex;
+    font-size: 1.25rem;
+    height: 2em;
+    justify-content: center;
+    margin-right: 1.5rem;
+    min-width: 2.5em;
+    padding: 0.25rem 0.5rem;
+    text-align: center;
+    vertical-align: top; }
+  html.theme--documenter-dark .select select, html.theme--documenter-dark .textarea, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+    background-color: #1f2424;
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    color: #dbdee0; }
+    html.theme--documenter-dark .select select::-moz-placeholder, html.theme--documenter-dark .textarea::-moz-placeholder, html.theme--documenter-dark .input::-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-moz-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select::-webkit-input-placeholder, html.theme--documenter-dark .textarea::-webkit-input-placeholder, html.theme--documenter-dark .input::-webkit-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select:-moz-placeholder, html.theme--documenter-dark .textarea:-moz-placeholder, html.theme--documenter-dark .input:-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-moz-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select:-ms-input-placeholder, html.theme--documenter-dark .textarea:-ms-input-placeholder, html.theme--documenter-dark .input:-ms-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select:hover, html.theme--documenter-dark .textarea:hover, html.theme--documenter-dark .input:hover, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:hover, html.theme--documenter-dark .select select.is-hovered, html.theme--documenter-dark .is-hovered.textarea, html.theme--documenter-dark .is-hovered.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-hovered {
+      border-color: #8c9b9d; }
+    html.theme--documenter-dark .select select:focus, html.theme--documenter-dark .textarea:focus, html.theme--documenter-dark .input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:focus, html.theme--documenter-dark .select select.is-focused, html.theme--documenter-dark .is-focused.textarea, html.theme--documenter-dark .is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .select select:active, html.theme--documenter-dark .textarea:active, html.theme--documenter-dark .input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:active, html.theme--documenter-dark .select select.is-active, html.theme--documenter-dark .is-active.textarea, html.theme--documenter-dark .is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+      border-color: #1abc9c;
+      box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .select select[disabled], html.theme--documenter-dark .textarea[disabled], html.theme--documenter-dark .input[disabled], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled], fieldset[disabled] html.theme--documenter-dark .select select, fieldset[disabled] html.theme--documenter-dark .textarea, fieldset[disabled] html.theme--documenter-dark .input, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+      background-color: #8c9b9d;
+      border-color: #282f2f;
+      box-shadow: none;
+      color: white; }
+      html.theme--documenter-dark .select select[disabled]::-moz-placeholder, html.theme--documenter-dark .textarea[disabled]::-moz-placeholder, html.theme--documenter-dark .input[disabled]::-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .select select::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .input::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-moz-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+      html.theme--documenter-dark .select select[disabled]::-webkit-input-placeholder, html.theme--documenter-dark .textarea[disabled]::-webkit-input-placeholder, html.theme--documenter-dark .input[disabled]::-webkit-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .select select::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .input::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+      html.theme--documenter-dark .select select[disabled]:-moz-placeholder, html.theme--documenter-dark .textarea[disabled]:-moz-placeholder, html.theme--documenter-dark .input[disabled]:-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .select select:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .input:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-moz-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+      html.theme--documenter-dark .select select[disabled]:-ms-input-placeholder, html.theme--documenter-dark .textarea[disabled]:-ms-input-placeholder, html.theme--documenter-dark .input[disabled]:-ms-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .select select:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .input:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+  html.theme--documenter-dark .textarea, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+    box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.1);
+    max-width: 100%;
+    width: 100%; }
+    html.theme--documenter-dark .textarea[readonly], html.theme--documenter-dark .input[readonly], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[readonly] {
+      box-shadow: none; }
+    html.theme--documenter-dark .is-white.textarea, html.theme--documenter-dark .is-white.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white {
+      border-color: white; }
+      html.theme--documenter-dark .is-white.textarea:focus, html.theme--documenter-dark .is-white.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white:focus, html.theme--documenter-dark .is-white.is-focused.textarea, html.theme--documenter-dark .is-white.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-white.textarea:active, html.theme--documenter-dark .is-white.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white:active, html.theme--documenter-dark .is-white.is-active.textarea, html.theme--documenter-dark .is-white.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+    html.theme--documenter-dark .is-black.textarea, html.theme--documenter-dark .is-black.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black {
+      border-color: #0a0a0a; }
+      html.theme--documenter-dark .is-black.textarea:focus, html.theme--documenter-dark .is-black.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black:focus, html.theme--documenter-dark .is-black.is-focused.textarea, html.theme--documenter-dark .is-black.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-black.textarea:active, html.theme--documenter-dark .is-black.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black:active, html.theme--documenter-dark .is-black.is-active.textarea, html.theme--documenter-dark .is-black.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+    html.theme--documenter-dark .is-light.textarea, html.theme--documenter-dark .is-light.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light {
+      border-color: #ecf0f1; }
+      html.theme--documenter-dark .is-light.textarea:focus, html.theme--documenter-dark .is-light.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light:focus, html.theme--documenter-dark .is-light.is-focused.textarea, html.theme--documenter-dark .is-light.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-light.textarea:active, html.theme--documenter-dark .is-light.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light:active, html.theme--documenter-dark .is-light.is-active.textarea, html.theme--documenter-dark .is-light.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); }
+    html.theme--documenter-dark .is-dark.textarea, html.theme--documenter-dark .content kbd.textarea, html.theme--documenter-dark .is-dark.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark, html.theme--documenter-dark .content kbd.input {
+      border-color: #282f2f; }
+      html.theme--documenter-dark .is-dark.textarea:focus, html.theme--documenter-dark .content kbd.textarea:focus, html.theme--documenter-dark .is-dark.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark:focus, html.theme--documenter-dark .content kbd.input:focus, html.theme--documenter-dark .is-dark.is-focused.textarea, html.theme--documenter-dark .content kbd.is-focused.textarea, html.theme--documenter-dark .is-dark.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .content kbd.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input.is-focused, html.theme--documenter-dark .is-dark.textarea:active, html.theme--documenter-dark .content kbd.textarea:active, html.theme--documenter-dark .is-dark.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark:active, html.theme--documenter-dark .content kbd.input:active, html.theme--documenter-dark .is-dark.is-active.textarea, html.theme--documenter-dark .content kbd.is-active.textarea, html.theme--documenter-dark .is-dark.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .content kbd.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); }
+    html.theme--documenter-dark .is-primary.textarea, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink {
+      border-color: #375a7f; }
+      html.theme--documenter-dark .is-primary.textarea:focus, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink:focus, html.theme--documenter-dark .is-primary.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary:focus, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink:focus, html.theme--documenter-dark .is-primary.is-focused.textarea, html.theme--documenter-dark .docstring > section > a.is-focused.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .docstring > section > a.is-focused.input.docs-sourcelink, html.theme--documenter-dark .is-primary.textarea:active, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink:active, html.theme--documenter-dark .is-primary.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary:active, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink:active, html.theme--documenter-dark .is-primary.is-active.textarea, html.theme--documenter-dark .docstring > section > a.is-active.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .docstring > section > a.is-active.input.docs-sourcelink {
+        box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); }
+    html.theme--documenter-dark .is-link.textarea, html.theme--documenter-dark .is-link.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link {
+      border-color: #1abc9c; }
+      html.theme--documenter-dark .is-link.textarea:focus, html.theme--documenter-dark .is-link.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link:focus, html.theme--documenter-dark .is-link.is-focused.textarea, html.theme--documenter-dark .is-link.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-link.textarea:active, html.theme--documenter-dark .is-link.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link:active, html.theme--documenter-dark .is-link.is-active.textarea, html.theme--documenter-dark .is-link.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .is-info.textarea, html.theme--documenter-dark .is-info.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info {
+      border-color: #024c7d; }
+      html.theme--documenter-dark .is-info.textarea:focus, html.theme--documenter-dark .is-info.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info:focus, html.theme--documenter-dark .is-info.is-focused.textarea, html.theme--documenter-dark .is-info.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-info.textarea:active, html.theme--documenter-dark .is-info.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info:active, html.theme--documenter-dark .is-info.is-active.textarea, html.theme--documenter-dark .is-info.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); }
+    html.theme--documenter-dark .is-success.textarea, html.theme--documenter-dark .is-success.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success {
+      border-color: #008438; }
+      html.theme--documenter-dark .is-success.textarea:focus, html.theme--documenter-dark .is-success.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success:focus, html.theme--documenter-dark .is-success.is-focused.textarea, html.theme--documenter-dark .is-success.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-success.textarea:active, html.theme--documenter-dark .is-success.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success:active, html.theme--documenter-dark .is-success.is-active.textarea, html.theme--documenter-dark .is-success.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); }
+    html.theme--documenter-dark .is-warning.textarea, html.theme--documenter-dark .is-warning.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning {
+      border-color: #ad8100; }
+      html.theme--documenter-dark .is-warning.textarea:focus, html.theme--documenter-dark .is-warning.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning:focus, html.theme--documenter-dark .is-warning.is-focused.textarea, html.theme--documenter-dark .is-warning.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-warning.textarea:active, html.theme--documenter-dark .is-warning.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning:active, html.theme--documenter-dark .is-warning.is-active.textarea, html.theme--documenter-dark .is-warning.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); }
+    html.theme--documenter-dark .is-danger.textarea, html.theme--documenter-dark .is-danger.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger {
+      border-color: #9e1b0d; }
+      html.theme--documenter-dark .is-danger.textarea:focus, html.theme--documenter-dark .is-danger.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger:focus, html.theme--documenter-dark .is-danger.is-focused.textarea, html.theme--documenter-dark .is-danger.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-danger.textarea:active, html.theme--documenter-dark .is-danger.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger:active, html.theme--documenter-dark .is-danger.is-active.textarea, html.theme--documenter-dark .is-danger.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); }
+    html.theme--documenter-dark .is-small.textarea, html.theme--documenter-dark .is-small.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .is-medium.textarea, html.theme--documenter-dark .is-medium.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .is-large.textarea, html.theme--documenter-dark .is-large.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .is-fullwidth.textarea, html.theme--documenter-dark .is-fullwidth.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-fullwidth {
+      display: block;
+      width: 100%; }
+    html.theme--documenter-dark .is-inline.textarea, html.theme--documenter-dark .is-inline.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-inline {
+      display: inline;
+      width: auto; }
+  html.theme--documenter-dark .input.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+    border-radius: 290486px;
+    padding-left: 1em;
+    padding-right: 1em; }
+  html.theme--documenter-dark .input.is-static, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-static {
+    background-color: transparent;
+    border-color: transparent;
+    box-shadow: none;
+    padding-left: 0;
+    padding-right: 0; }
+  html.theme--documenter-dark .textarea {
+    display: block;
+    max-width: 100%;
+    min-width: 100%;
+    padding: 0.625em;
+    resize: vertical; }
+    html.theme--documenter-dark .textarea:not([rows]) {
+      max-height: 600px;
+      min-height: 120px; }
+    html.theme--documenter-dark .textarea[rows] {
+      height: initial; }
+    html.theme--documenter-dark .textarea.has-fixed-size {
+      resize: none; }
+  html.theme--documenter-dark .radio, html.theme--documenter-dark .checkbox {
+    cursor: pointer;
+    display: inline-block;
+    line-height: 1.25;
+    position: relative; }
+    html.theme--documenter-dark .radio input, html.theme--documenter-dark .checkbox input {
+      cursor: pointer; }
+    html.theme--documenter-dark .radio:hover, html.theme--documenter-dark .checkbox:hover {
+      color: #8c9b9d; }
+    html.theme--documenter-dark .radio[disabled], html.theme--documenter-dark .checkbox[disabled], fieldset[disabled] html.theme--documenter-dark .radio, fieldset[disabled] html.theme--documenter-dark .checkbox {
+      color: white;
+      cursor: not-allowed; }
+  html.theme--documenter-dark .radio + .radio {
+    margin-left: 0.5em; }
+  html.theme--documenter-dark .select {
+    display: inline-block;
+    max-width: 100%;
+    position: relative;
+    vertical-align: top; }
+    html.theme--documenter-dark .select:not(.is-multiple) {
+      height: 2.25em; }
+    html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after {
+      border-color: #1abc9c;
+      right: 1.125em;
+      z-index: 4; }
+    html.theme--documenter-dark .select.is-rounded select, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.select select {
+      border-radius: 290486px;
+      padding-left: 1em; }
+    html.theme--documenter-dark .select select {
+      cursor: pointer;
+      display: block;
+      font-size: 1em;
+      max-width: 100%;
+      outline: none; }
+      html.theme--documenter-dark .select select::-ms-expand {
+        display: none; }
+      html.theme--documenter-dark .select select[disabled]:hover, fieldset[disabled] html.theme--documenter-dark .select select:hover {
+        border-color: #282f2f; }
+      html.theme--documenter-dark .select select:not([multiple]) {
+        padding-right: 2.5em; }
+      html.theme--documenter-dark .select select[multiple] {
+        height: auto;
+        padding: 0; }
+        html.theme--documenter-dark .select select[multiple] option {
+          padding: 0.5em 1em; }
+    html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading):hover::after {
+      border-color: #8c9b9d; }
+    html.theme--documenter-dark .select.is-white:not(:hover)::after {
+      border-color: white; }
+    html.theme--documenter-dark .select.is-white select {
+      border-color: white; }
+      html.theme--documenter-dark .select.is-white select:hover, html.theme--documenter-dark .select.is-white select.is-hovered {
+        border-color: #f2f2f2; }
+      html.theme--documenter-dark .select.is-white select:focus, html.theme--documenter-dark .select.is-white select.is-focused, html.theme--documenter-dark .select.is-white select:active, html.theme--documenter-dark .select.is-white select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+    html.theme--documenter-dark .select.is-black:not(:hover)::after {
+      border-color: #0a0a0a; }
+    html.theme--documenter-dark .select.is-black select {
+      border-color: #0a0a0a; }
+      html.theme--documenter-dark .select.is-black select:hover, html.theme--documenter-dark .select.is-black select.is-hovered {
+        border-color: black; }
+      html.theme--documenter-dark .select.is-black select:focus, html.theme--documenter-dark .select.is-black select.is-focused, html.theme--documenter-dark .select.is-black select:active, html.theme--documenter-dark .select.is-black select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+    html.theme--documenter-dark .select.is-light:not(:hover)::after {
+      border-color: #ecf0f1; }
+    html.theme--documenter-dark .select.is-light select {
+      border-color: #ecf0f1; }
+      html.theme--documenter-dark .select.is-light select:hover, html.theme--documenter-dark .select.is-light select.is-hovered {
+        border-color: #dde4e6; }
+      html.theme--documenter-dark .select.is-light select:focus, html.theme--documenter-dark .select.is-light select.is-focused, html.theme--documenter-dark .select.is-light select:active, html.theme--documenter-dark .select.is-light select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); }
+    html.theme--documenter-dark .select.is-dark:not(:hover)::after, html.theme--documenter-dark .content kbd.select:not(:hover)::after {
+      border-color: #282f2f; }
+    html.theme--documenter-dark .select.is-dark select, html.theme--documenter-dark .content kbd.select select {
+      border-color: #282f2f; }
+      html.theme--documenter-dark .select.is-dark select:hover, html.theme--documenter-dark .content kbd.select select:hover, html.theme--documenter-dark .select.is-dark select.is-hovered, html.theme--documenter-dark .content kbd.select select.is-hovered {
+        border-color: #1d2122; }
+      html.theme--documenter-dark .select.is-dark select:focus, html.theme--documenter-dark .content kbd.select select:focus, html.theme--documenter-dark .select.is-dark select.is-focused, html.theme--documenter-dark .content kbd.select select.is-focused, html.theme--documenter-dark .select.is-dark select:active, html.theme--documenter-dark .content kbd.select select:active, html.theme--documenter-dark .select.is-dark select.is-active, html.theme--documenter-dark .content kbd.select select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); }
+    html.theme--documenter-dark .select.is-primary:not(:hover)::after, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink:not(:hover)::after {
+      border-color: #375a7f; }
+    html.theme--documenter-dark .select.is-primary select, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select {
+      border-color: #375a7f; }
+      html.theme--documenter-dark .select.is-primary select:hover, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:hover, html.theme--documenter-dark .select.is-primary select.is-hovered, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-hovered {
+        border-color: #2f4d6d; }
+      html.theme--documenter-dark .select.is-primary select:focus, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:focus, html.theme--documenter-dark .select.is-primary select.is-focused, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-focused, html.theme--documenter-dark .select.is-primary select:active, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:active, html.theme--documenter-dark .select.is-primary select.is-active, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); }
+    html.theme--documenter-dark .select.is-link:not(:hover)::after {
+      border-color: #1abc9c; }
+    html.theme--documenter-dark .select.is-link select {
+      border-color: #1abc9c; }
+      html.theme--documenter-dark .select.is-link select:hover, html.theme--documenter-dark .select.is-link select.is-hovered {
+        border-color: #17a689; }
+      html.theme--documenter-dark .select.is-link select:focus, html.theme--documenter-dark .select.is-link select.is-focused, html.theme--documenter-dark .select.is-link select:active, html.theme--documenter-dark .select.is-link select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .select.is-info:not(:hover)::after {
+      border-color: #024c7d; }
+    html.theme--documenter-dark .select.is-info select {
+      border-color: #024c7d; }
+      html.theme--documenter-dark .select.is-info select:hover, html.theme--documenter-dark .select.is-info select.is-hovered {
+        border-color: #023d64; }
+      html.theme--documenter-dark .select.is-info select:focus, html.theme--documenter-dark .select.is-info select.is-focused, html.theme--documenter-dark .select.is-info select:active, html.theme--documenter-dark .select.is-info select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); }
+    html.theme--documenter-dark .select.is-success:not(:hover)::after {
+      border-color: #008438; }
+    html.theme--documenter-dark .select.is-success select {
+      border-color: #008438; }
+      html.theme--documenter-dark .select.is-success select:hover, html.theme--documenter-dark .select.is-success select.is-hovered {
+        border-color: #006b2d; }
+      html.theme--documenter-dark .select.is-success select:focus, html.theme--documenter-dark .select.is-success select.is-focused, html.theme--documenter-dark .select.is-success select:active, html.theme--documenter-dark .select.is-success select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); }
+    html.theme--documenter-dark .select.is-warning:not(:hover)::after {
+      border-color: #ad8100; }
+    html.theme--documenter-dark .select.is-warning select {
+      border-color: #ad8100; }
+      html.theme--documenter-dark .select.is-warning select:hover, html.theme--documenter-dark .select.is-warning select.is-hovered {
+        border-color: #946e00; }
+      html.theme--documenter-dark .select.is-warning select:focus, html.theme--documenter-dark .select.is-warning select.is-focused, html.theme--documenter-dark .select.is-warning select:active, html.theme--documenter-dark .select.is-warning select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); }
+    html.theme--documenter-dark .select.is-danger:not(:hover)::after {
+      border-color: #9e1b0d; }
+    html.theme--documenter-dark .select.is-danger select {
+      border-color: #9e1b0d; }
+      html.theme--documenter-dark .select.is-danger select:hover, html.theme--documenter-dark .select.is-danger select.is-hovered {
+        border-color: #86170b; }
+      html.theme--documenter-dark .select.is-danger select:focus, html.theme--documenter-dark .select.is-danger select.is-focused, html.theme--documenter-dark .select.is-danger select:active, html.theme--documenter-dark .select.is-danger select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); }
+    html.theme--documenter-dark .select.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.select {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .select.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .select.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .select.is-disabled::after {
+      border-color: white; }
+    html.theme--documenter-dark .select.is-fullwidth {
+      width: 100%; }
+      html.theme--documenter-dark .select.is-fullwidth select {
+        width: 100%; }
+    html.theme--documenter-dark .select.is-loading::after {
+      margin-top: 0;
+      position: absolute;
+      right: 0.625em;
+      top: 0.625em;
+      transform: none; }
+    html.theme--documenter-dark .select.is-loading.is-small:after, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .select.is-loading.is-medium:after {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .select.is-loading.is-large:after {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .file {
+    align-items: stretch;
+    display: flex;
+    justify-content: flex-start;
+    position: relative; }
+    html.theme--documenter-dark .file.is-white .file-cta {
+      background-color: white;
+      border-color: transparent;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-white:hover .file-cta, html.theme--documenter-dark .file.is-white.is-hovered .file-cta {
+      background-color: #f9f9f9;
+      border-color: transparent;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-white:focus .file-cta, html.theme--documenter-dark .file.is-white.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(255, 255, 255, 0.25);
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-white:active .file-cta, html.theme--documenter-dark .file.is-white.is-active .file-cta {
+      background-color: #f2f2f2;
+      border-color: transparent;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-black .file-cta {
+      background-color: #0a0a0a;
+      border-color: transparent;
+      color: white; }
+    html.theme--documenter-dark .file.is-black:hover .file-cta, html.theme--documenter-dark .file.is-black.is-hovered .file-cta {
+      background-color: #040404;
+      border-color: transparent;
+      color: white; }
+    html.theme--documenter-dark .file.is-black:focus .file-cta, html.theme--documenter-dark .file.is-black.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(10, 10, 10, 0.25);
+      color: white; }
+    html.theme--documenter-dark .file.is-black:active .file-cta, html.theme--documenter-dark .file.is-black.is-active .file-cta {
+      background-color: black;
+      border-color: transparent;
+      color: white; }
+    html.theme--documenter-dark .file.is-light .file-cta {
+      background-color: #ecf0f1;
+      border-color: transparent;
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-light:hover .file-cta, html.theme--documenter-dark .file.is-light.is-hovered .file-cta {
+      background-color: #e5eaec;
+      border-color: transparent;
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-light:focus .file-cta, html.theme--documenter-dark .file.is-light.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(236, 240, 241, 0.25);
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-light:active .file-cta, html.theme--documenter-dark .file.is-light.is-active .file-cta {
+      background-color: #dde4e6;
+      border-color: transparent;
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-dark .file-cta, html.theme--documenter-dark .content kbd.file .file-cta {
+      background-color: #282f2f;
+      border-color: transparent;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-dark:hover .file-cta, html.theme--documenter-dark .content kbd.file:hover .file-cta, html.theme--documenter-dark .file.is-dark.is-hovered .file-cta, html.theme--documenter-dark .content kbd.file.is-hovered .file-cta {
+      background-color: #232829;
+      border-color: transparent;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-dark:focus .file-cta, html.theme--documenter-dark .content kbd.file:focus .file-cta, html.theme--documenter-dark .file.is-dark.is-focused .file-cta, html.theme--documenter-dark .content kbd.file.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(40, 47, 47, 0.25);
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-dark:active .file-cta, html.theme--documenter-dark .content kbd.file:active .file-cta, html.theme--documenter-dark .file.is-dark.is-active .file-cta, html.theme--documenter-dark .content kbd.file.is-active .file-cta {
+      background-color: #1d2122;
+      border-color: transparent;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-primary .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink .file-cta {
+      background-color: #375a7f;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-primary:hover .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:hover .file-cta, html.theme--documenter-dark .file.is-primary.is-hovered .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-hovered.docs-sourcelink .file-cta {
+      background-color: #335476;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-primary:focus .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:focus .file-cta, html.theme--documenter-dark .file.is-primary.is-focused .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-focused.docs-sourcelink .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(55, 90, 127, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-primary:active .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:active .file-cta, html.theme--documenter-dark .file.is-primary.is-active .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-active.docs-sourcelink .file-cta {
+      background-color: #2f4d6d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link .file-cta {
+      background-color: #1abc9c;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link:hover .file-cta, html.theme--documenter-dark .file.is-link.is-hovered .file-cta {
+      background-color: #18b193;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link:focus .file-cta, html.theme--documenter-dark .file.is-link.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(26, 188, 156, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link:active .file-cta, html.theme--documenter-dark .file.is-link.is-active .file-cta {
+      background-color: #17a689;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info .file-cta {
+      background-color: #024c7d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info:hover .file-cta, html.theme--documenter-dark .file.is-info.is-hovered .file-cta {
+      background-color: #024470;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info:focus .file-cta, html.theme--documenter-dark .file.is-info.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(2, 76, 125, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info:active .file-cta, html.theme--documenter-dark .file.is-info.is-active .file-cta {
+      background-color: #023d64;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success .file-cta {
+      background-color: #008438;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success:hover .file-cta, html.theme--documenter-dark .file.is-success.is-hovered .file-cta {
+      background-color: #007733;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success:focus .file-cta, html.theme--documenter-dark .file.is-success.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(0, 132, 56, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success:active .file-cta, html.theme--documenter-dark .file.is-success.is-active .file-cta {
+      background-color: #006b2d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning .file-cta {
+      background-color: #ad8100;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning:hover .file-cta, html.theme--documenter-dark .file.is-warning.is-hovered .file-cta {
+      background-color: #a07700;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning:focus .file-cta, html.theme--documenter-dark .file.is-warning.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(173, 129, 0, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning:active .file-cta, html.theme--documenter-dark .file.is-warning.is-active .file-cta {
+      background-color: #946e00;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger .file-cta {
+      background-color: #9e1b0d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger:hover .file-cta, html.theme--documenter-dark .file.is-danger.is-hovered .file-cta {
+      background-color: #92190c;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger:focus .file-cta, html.theme--documenter-dark .file.is-danger.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(158, 27, 13, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger:active .file-cta, html.theme--documenter-dark .file.is-danger.is-active .file-cta {
+      background-color: #86170b;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.file {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .file.is-medium {
+      font-size: 1.25rem; }
+      html.theme--documenter-dark .file.is-medium .file-icon .fa {
+        font-size: 21px; }
+    html.theme--documenter-dark .file.is-large {
+      font-size: 1.5rem; }
+      html.theme--documenter-dark .file.is-large .file-icon .fa {
+        font-size: 28px; }
+    html.theme--documenter-dark .file.has-name .file-cta {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0; }
+    html.theme--documenter-dark .file.has-name .file-name {
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    html.theme--documenter-dark .file.has-name.is-empty .file-cta {
+      border-radius: 0.4em; }
+    html.theme--documenter-dark .file.has-name.is-empty .file-name {
+      display: none; }
+    html.theme--documenter-dark .file.is-boxed .file-label {
+      flex-direction: column; }
+    html.theme--documenter-dark .file.is-boxed .file-cta {
+      flex-direction: column;
+      height: auto;
+      padding: 1em 3em; }
+    html.theme--documenter-dark .file.is-boxed .file-name {
+      border-width: 0 1px 1px; }
+    html.theme--documenter-dark .file.is-boxed .file-icon {
+      height: 1.5em;
+      width: 1.5em; }
+      html.theme--documenter-dark .file.is-boxed .file-icon .fa {
+        font-size: 21px; }
+    html.theme--documenter-dark .file.is-boxed.is-small .file-icon .fa, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-boxed .file-icon .fa {
+      font-size: 14px; }
+    html.theme--documenter-dark .file.is-boxed.is-medium .file-icon .fa {
+      font-size: 28px; }
+    html.theme--documenter-dark .file.is-boxed.is-large .file-icon .fa {
+      font-size: 35px; }
+    html.theme--documenter-dark .file.is-boxed.has-name .file-cta {
+      border-radius: 0.4em 0.4em 0 0; }
+    html.theme--documenter-dark .file.is-boxed.has-name .file-name {
+      border-radius: 0 0 0.4em 0.4em;
+      border-width: 0 1px 1px; }
+    html.theme--documenter-dark .file.is-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .file.is-fullwidth .file-label {
+      width: 100%; }
+    html.theme--documenter-dark .file.is-fullwidth .file-name {
+      flex-grow: 1;
+      max-width: none; }
+    html.theme--documenter-dark .file.is-right {
+      justify-content: flex-end; }
+      html.theme--documenter-dark .file.is-right .file-cta {
+        border-radius: 0 0.4em 0.4em 0; }
+      html.theme--documenter-dark .file.is-right .file-name {
+        border-radius: 0.4em 0 0 0.4em;
+        border-width: 1px 0 1px 1px;
+        order: -1; }
+  html.theme--documenter-dark .file-label {
+    align-items: stretch;
+    display: flex;
+    cursor: pointer;
+    justify-content: flex-start;
+    overflow: hidden;
+    position: relative; }
+    html.theme--documenter-dark .file-label:hover .file-cta {
+      background-color: #e5eaec;
+      color: #282f2f; }
+    html.theme--documenter-dark .file-label:hover .file-name {
+      border-color: #596668; }
+    html.theme--documenter-dark .file-label:active .file-cta {
+      background-color: #dde4e6;
+      color: #282f2f; }
+    html.theme--documenter-dark .file-label:active .file-name {
+      border-color: #535f61; }
+  html.theme--documenter-dark .file-input {
+    height: 100%;
+    left: 0;
+    opacity: 0;
+    outline: none;
+    position: absolute;
+    top: 0;
+    width: 100%; }
+  html.theme--documenter-dark .file-cta,
+  html.theme--documenter-dark .file-name {
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    font-size: 1em;
+    padding-left: 1em;
+    padding-right: 1em;
+    white-space: nowrap; }
+  html.theme--documenter-dark .file-cta {
+    background-color: #ecf0f1;
+    color: #343c3d; }
+  html.theme--documenter-dark .file-name {
+    border-color: #5e6d6f;
+    border-style: solid;
+    border-width: 1px 1px 1px 0;
+    display: block;
+    max-width: 16em;
+    overflow: hidden;
+    text-align: left;
+    text-overflow: ellipsis; }
+  html.theme--documenter-dark .file-icon {
+    align-items: center;
+    display: flex;
+    height: 1em;
+    justify-content: center;
+    margin-right: 0.5em;
+    width: 1em; }
+    html.theme--documenter-dark .file-icon .fa {
+      font-size: 14px; }
+  html.theme--documenter-dark .label {
+    color: #282f2f;
+    display: block;
+    font-size: 15px;
+    font-weight: 700; }
+    html.theme--documenter-dark .label:not(:last-child) {
+      margin-bottom: 0.5em; }
+    html.theme--documenter-dark .label.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.label {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .label.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .label.is-large {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .help {
+    display: block;
+    font-size: 0.85em;
+    margin-top: 0.25rem; }
+    html.theme--documenter-dark .help.is-white {
+      color: white; }
+    html.theme--documenter-dark .help.is-black {
+      color: #0a0a0a; }
+    html.theme--documenter-dark .help.is-light {
+      color: #ecf0f1; }
+    html.theme--documenter-dark .help.is-dark, html.theme--documenter-dark .content kbd.help {
+      color: #282f2f; }
+    html.theme--documenter-dark .help.is-primary, html.theme--documenter-dark .docstring > section > a.help.docs-sourcelink {
+      color: #375a7f; }
+    html.theme--documenter-dark .help.is-link {
+      color: #1abc9c; }
+    html.theme--documenter-dark .help.is-info {
+      color: #024c7d; }
+    html.theme--documenter-dark .help.is-success {
+      color: #008438; }
+    html.theme--documenter-dark .help.is-warning {
+      color: #ad8100; }
+    html.theme--documenter-dark .help.is-danger {
+      color: #9e1b0d; }
+  html.theme--documenter-dark .field:not(:last-child) {
+    margin-bottom: 0.75rem; }
+  html.theme--documenter-dark .field.has-addons {
+    display: flex;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .field.has-addons .control:not(:last-child) {
+      margin-right: -1px; }
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .button,
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .input,
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search > input,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search > input,
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .select select {
+      border-radius: 0; }
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .button,
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .input,
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search > input,
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .select select {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0; }
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .button,
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .input,
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search > input,
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .select select {
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):hover, html.theme--documenter-dark .field.has-addons .control .button.is-hovered:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):hover,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):hover,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):hover,
+    html.theme--documenter-dark .field.has-addons .control .input.is-hovered:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-hovered:not([disabled]),
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-hovered:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):hover,
+    html.theme--documenter-dark .field.has-addons .control .select select.is-hovered:not([disabled]) {
+      z-index: 2; }
+    html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):focus, html.theme--documenter-dark .field.has-addons .control .button.is-focused:not([disabled]), html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):active, html.theme--documenter-dark .field.has-addons .control .button.is-active:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):focus,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus,
+    html.theme--documenter-dark .field.has-addons .control .input.is-focused:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]),
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):active,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active,
+    html.theme--documenter-dark .field.has-addons .control .input.is-active:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]),
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):focus,
+    html.theme--documenter-dark .field.has-addons .control .select select.is-focused:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):active,
+    html.theme--documenter-dark .field.has-addons .control .select select.is-active:not([disabled]) {
+      z-index: 3; }
+      html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):focus:hover, html.theme--documenter-dark .field.has-addons .control .button.is-focused:not([disabled]):hover, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):active:hover, html.theme--documenter-dark .field.has-addons .control .button.is-active:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):focus:hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus:hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus:hover,
+      html.theme--documenter-dark .field.has-addons .control .input.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):active:hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active:hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active:hover,
+      html.theme--documenter-dark .field.has-addons .control .input.is-active:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]):hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):focus:hover,
+      html.theme--documenter-dark .field.has-addons .control .select select.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):active:hover,
+      html.theme--documenter-dark .field.has-addons .control .select select.is-active:not([disabled]):hover {
+        z-index: 4; }
+    html.theme--documenter-dark .field.has-addons .control.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .field.has-addons.has-addons-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .field.has-addons.has-addons-right {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .field.has-addons.has-addons-fullwidth .control {
+      flex-grow: 1;
+      flex-shrink: 0; }
+  html.theme--documenter-dark .field.is-grouped {
+    display: flex;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .field.is-grouped > .control {
+      flex-shrink: 0; }
+      html.theme--documenter-dark .field.is-grouped > .control:not(:last-child) {
+        margin-bottom: 0;
+        margin-right: 0.75rem; }
+      html.theme--documenter-dark .field.is-grouped > .control.is-expanded {
+        flex-grow: 1;
+        flex-shrink: 1; }
+    html.theme--documenter-dark .field.is-grouped.is-grouped-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .field.is-grouped.is-grouped-right {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .field.is-grouped.is-grouped-multiline {
+      flex-wrap: wrap; }
+      html.theme--documenter-dark .field.is-grouped.is-grouped-multiline > .control:last-child, html.theme--documenter-dark .field.is-grouped.is-grouped-multiline > .control:not(:last-child) {
+        margin-bottom: 0.75rem; }
+      html.theme--documenter-dark .field.is-grouped.is-grouped-multiline:last-child {
+        margin-bottom: -0.75rem; }
+      html.theme--documenter-dark .field.is-grouped.is-grouped-multiline:not(:last-child) {
+        margin-bottom: 0; }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .field.is-horizontal {
+      display: flex; } }
+  html.theme--documenter-dark .field-label .label {
+    font-size: inherit; }
+  @media screen and (max-width: 768px) {
+    html.theme--documenter-dark .field-label {
+      margin-bottom: 0.5rem; } }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .field-label {
+      flex-basis: 0;
+      flex-grow: 1;
+      flex-shrink: 0;
+      margin-right: 1.5rem;
+      text-align: right; }
+      html.theme--documenter-dark .field-label.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.field-label {
+        font-size: 0.85em;
+        padding-top: 0.375em; }
+      html.theme--documenter-dark .field-label.is-normal {
+        padding-top: 0.375em; }
+      html.theme--documenter-dark .field-label.is-medium {
+        font-size: 1.25rem;
+        padding-top: 0.375em; }
+      html.theme--documenter-dark .field-label.is-large {
+        font-size: 1.5rem;
+        padding-top: 0.375em; } }
+  html.theme--documenter-dark .field-body .field .field {
+    margin-bottom: 0; }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .field-body {
+      display: flex;
+      flex-basis: 0;
+      flex-grow: 5;
+      flex-shrink: 1; }
+      html.theme--documenter-dark .field-body .field {
+        margin-bottom: 0; }
+      html.theme--documenter-dark .field-body > .field {
+        flex-shrink: 1; }
+        html.theme--documenter-dark .field-body > .field:not(.is-narrow) {
+          flex-grow: 1; }
+        html.theme--documenter-dark .field-body > .field:not(:last-child) {
+          margin-right: 0.75rem; } }
+  html.theme--documenter-dark .control {
+    box-sizing: border-box;
+    clear: both;
+    font-size: 15px;
+    position: relative;
+    text-align: left; }
+    html.theme--documenter-dark .control.has-icons-left .input:focus ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input:focus ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select:focus ~ .icon, html.theme--documenter-dark .control.has-icons-right .input:focus ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input:focus ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select:focus ~ .icon {
+      color: #5e6d6f; }
+    html.theme--documenter-dark .control.has-icons-left .input.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select.is-small ~ .icon {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .control.has-icons-left .input.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-medium ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-medium ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select.is-medium ~ .icon {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .control.has-icons-left .input.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-large ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-large ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select.is-large ~ .icon {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .control.has-icons-left .icon, html.theme--documenter-dark .control.has-icons-right .icon {
+      color: #dbdee0;
+      height: 2.25em;
+      pointer-events: none;
+      position: absolute;
+      top: 0;
+      width: 2.25em;
+      z-index: 4; }
+    html.theme--documenter-dark .control.has-icons-left .input, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input,
+    html.theme--documenter-dark .control.has-icons-left .select select {
+      padding-left: 2.25em; }
+    html.theme--documenter-dark .control.has-icons-left .icon.is-left {
+      left: 0; }
+    html.theme--documenter-dark .control.has-icons-right .input, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input,
+    html.theme--documenter-dark .control.has-icons-right .select select {
+      padding-right: 2.25em; }
+    html.theme--documenter-dark .control.has-icons-right .icon.is-right {
+      right: 0; }
+    html.theme--documenter-dark .control.is-loading::after {
+      position: absolute !important;
+      right: 0.625em;
+      top: 0.625em;
+      z-index: 4; }
+    html.theme--documenter-dark .control.is-loading.is-small:after, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .control.is-loading.is-medium:after {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .control.is-loading.is-large:after {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .breadcrumb {
+    font-size: 15px;
+    white-space: nowrap; }
+    html.theme--documenter-dark .breadcrumb a {
+      align-items: center;
+      color: #1abc9c;
+      display: flex;
+      justify-content: center;
+      padding: 0 0.75em; }
+      html.theme--documenter-dark .breadcrumb a:hover {
+        color: #1dd2af; }
+    html.theme--documenter-dark .breadcrumb li {
+      align-items: center;
+      display: flex; }
+      html.theme--documenter-dark .breadcrumb li:first-child a {
+        padding-left: 0; }
+      html.theme--documenter-dark .breadcrumb li.is-active a {
+        color: #f2f2f2;
+        cursor: default;
+        pointer-events: none; }
+      html.theme--documenter-dark .breadcrumb li + li::before {
+        color: #8c9b9d;
+        content: "\0002f"; }
+    html.theme--documenter-dark .breadcrumb ul,
+    html.theme--documenter-dark .breadcrumb ol {
+      align-items: flex-start;
+      display: flex;
+      flex-wrap: wrap;
+      justify-content: flex-start; }
+    html.theme--documenter-dark .breadcrumb .icon:first-child {
+      margin-right: 0.5em; }
+    html.theme--documenter-dark .breadcrumb .icon:last-child {
+      margin-left: 0.5em; }
+    html.theme--documenter-dark .breadcrumb.is-centered ol,
+    html.theme--documenter-dark .breadcrumb.is-centered ul {
+      justify-content: center; }
+    html.theme--documenter-dark .breadcrumb.is-right ol,
+    html.theme--documenter-dark .breadcrumb.is-right ul {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .breadcrumb.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.breadcrumb {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .breadcrumb.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .breadcrumb.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .breadcrumb.has-arrow-separator li + li::before {
+      content: "\02192"; }
+    html.theme--documenter-dark .breadcrumb.has-bullet-separator li + li::before {
+      content: "\02022"; }
+    html.theme--documenter-dark .breadcrumb.has-dot-separator li + li::before {
+      content: "\000b7"; }
+    html.theme--documenter-dark .breadcrumb.has-succeeds-separator li + li::before {
+      content: "\0227B"; }
+  html.theme--documenter-dark .card {
+    background-color: white;
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+    color: #fff;
+    max-width: 100%;
+    position: relative; }
+  html.theme--documenter-dark .card-header {
+    background-color: transparent;
+    align-items: stretch;
+    box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+    display: flex; }
+  html.theme--documenter-dark .card-header-title {
+    align-items: center;
+    color: #f2f2f2;
+    display: flex;
+    flex-grow: 1;
+    font-weight: 700;
+    padding: 0.75rem; }
+    html.theme--documenter-dark .card-header-title.is-centered {
+      justify-content: center; }
+  html.theme--documenter-dark .card-header-icon {
+    align-items: center;
+    cursor: pointer;
+    display: flex;
+    justify-content: center;
+    padding: 0.75rem; }
+  html.theme--documenter-dark .card-image {
+    display: block;
+    position: relative; }
+  html.theme--documenter-dark .card-content {
+    background-color: transparent;
+    padding: 1.5rem; }
+  html.theme--documenter-dark .card-footer {
+    background-color: transparent;
+    border-top: 1px solid #5e6d6f;
+    align-items: stretch;
+    display: flex; }
+  html.theme--documenter-dark .card-footer-item {
+    align-items: center;
+    display: flex;
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 0;
+    justify-content: center;
+    padding: 0.75rem; }
+    html.theme--documenter-dark .card-footer-item:not(:last-child) {
+      border-right: 1px solid #5e6d6f; }
+  html.theme--documenter-dark .card .media:not(:last-child) {
+    margin-bottom: 1.5rem; }
+  html.theme--documenter-dark .dropdown {
+    display: inline-flex;
+    position: relative;
+    vertical-align: top; }
+    html.theme--documenter-dark .dropdown.is-active .dropdown-menu, html.theme--documenter-dark .dropdown.is-hoverable:hover .dropdown-menu {
+      display: block; }
+    html.theme--documenter-dark .dropdown.is-right .dropdown-menu {
+      left: auto;
+      right: 0; }
+    html.theme--documenter-dark .dropdown.is-up .dropdown-menu {
+      bottom: 100%;
+      padding-bottom: 4px;
+      padding-top: initial;
+      top: auto; }
+  html.theme--documenter-dark .dropdown-menu {
+    display: none;
+    left: 0;
+    min-width: 12rem;
+    padding-top: 4px;
+    position: absolute;
+    top: 100%;
+    z-index: 20; }
+  html.theme--documenter-dark .dropdown-content {
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+    padding-bottom: 0.5rem;
+    padding-top: 0.5rem; }
+  html.theme--documenter-dark .dropdown-item {
+    color: #fff;
+    display: block;
+    font-size: 0.875rem;
+    line-height: 1.5;
+    padding: 0.375rem 1rem;
+    position: relative; }
+  html.theme--documenter-dark a.dropdown-item,
+  html.theme--documenter-dark button.dropdown-item {
+    padding-right: 3rem;
+    text-align: left;
+    white-space: nowrap;
+    width: 100%; }
+    html.theme--documenter-dark a.dropdown-item:hover,
+    html.theme--documenter-dark button.dropdown-item:hover {
+      background-color: #282f2f;
+      color: #0a0a0a; }
+    html.theme--documenter-dark a.dropdown-item.is-active,
+    html.theme--documenter-dark button.dropdown-item.is-active {
+      background-color: #1abc9c;
+      color: #fff; }
+  html.theme--documenter-dark .dropdown-divider {
+    background-color: #5e6d6f;
+    border: none;
+    display: block;
+    height: 1px;
+    margin: 0.5rem 0; }
+  html.theme--documenter-dark .level {
+    align-items: center;
+    justify-content: space-between; }
+    html.theme--documenter-dark .level code {
+      border-radius: 0.4em; }
+    html.theme--documenter-dark .level img {
+      display: inline-block;
+      vertical-align: top; }
+    html.theme--documenter-dark .level.is-mobile {
+      display: flex; }
+      html.theme--documenter-dark .level.is-mobile .level-left,
+      html.theme--documenter-dark .level.is-mobile .level-right {
+        display: flex; }
+      html.theme--documenter-dark .level.is-mobile .level-left + .level-right {
+        margin-top: 0; }
+      html.theme--documenter-dark .level.is-mobile .level-item:not(:last-child) {
+        margin-bottom: 0;
+        margin-right: 0.75rem; }
+      html.theme--documenter-dark .level.is-mobile .level-item:not(.is-narrow) {
+        flex-grow: 1; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level {
+        display: flex; }
+        html.theme--documenter-dark .level > .level-item:not(.is-narrow) {
+          flex-grow: 1; } }
+  html.theme--documenter-dark .level-item {
+    align-items: center;
+    display: flex;
+    flex-basis: auto;
+    flex-grow: 0;
+    flex-shrink: 0;
+    justify-content: center; }
+    html.theme--documenter-dark .level-item .title,
+    html.theme--documenter-dark .level-item .subtitle {
+      margin-bottom: 0; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .level-item:not(:last-child) {
+        margin-bottom: 0.75rem; } }
+  html.theme--documenter-dark .level-left,
+  html.theme--documenter-dark .level-right {
+    flex-basis: auto;
+    flex-grow: 0;
+    flex-shrink: 0; }
+    html.theme--documenter-dark .level-left .level-item.is-flexible,
+    html.theme--documenter-dark .level-right .level-item.is-flexible {
+      flex-grow: 1; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level-left .level-item:not(:last-child),
+      html.theme--documenter-dark .level-right .level-item:not(:last-child) {
+        margin-right: 0.75rem; } }
+  html.theme--documenter-dark .level-left {
+    align-items: center;
+    justify-content: flex-start; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .level-left + .level-right {
+        margin-top: 1.5rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level-left {
+        display: flex; } }
+  html.theme--documenter-dark .level-right {
+    align-items: center;
+    justify-content: flex-end; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level-right {
+        display: flex; } }
+  html.theme--documenter-dark .list {
+    background-color: white;
+    border-radius: 0.4em;
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); }
+  html.theme--documenter-dark .list-item {
+    display: block;
+    padding: 0.5em 1em; }
+    html.theme--documenter-dark .list-item:not(a) {
+      color: #fff; }
+    html.theme--documenter-dark .list-item:first-child {
+      border-top-left-radius: 0.4em;
+      border-top-right-radius: 0.4em; }
+    html.theme--documenter-dark .list-item:last-child {
+      border-bottom-left-radius: 0.4em;
+      border-bottom-right-radius: 0.4em; }
+    html.theme--documenter-dark .list-item:not(:last-child) {
+      border-bottom: 1px solid #5e6d6f; }
+    html.theme--documenter-dark .list-item.is-active {
+      background-color: #1abc9c;
+      color: #fff; }
+  html.theme--documenter-dark a.list-item {
+    background-color: #282f2f;
+    cursor: pointer; }
+  html.theme--documenter-dark .media {
+    align-items: flex-start;
+    display: flex;
+    text-align: left; }
+    html.theme--documenter-dark .media .content:not(:last-child) {
+      margin-bottom: 0.75rem; }
+    html.theme--documenter-dark .media .media {
+      border-top: 1px solid rgba(94, 109, 111, 0.5);
+      display: flex;
+      padding-top: 0.75rem; }
+      html.theme--documenter-dark .media .media .content:not(:last-child),
+      html.theme--documenter-dark .media .media .control:not(:last-child) {
+        margin-bottom: 0.5rem; }
+      html.theme--documenter-dark .media .media .media {
+        padding-top: 0.5rem; }
+        html.theme--documenter-dark .media .media .media + .media {
+          margin-top: 0.5rem; }
+    html.theme--documenter-dark .media + .media {
+      border-top: 1px solid rgba(94, 109, 111, 0.5);
+      margin-top: 1rem;
+      padding-top: 1rem; }
+    html.theme--documenter-dark .media.is-large + .media {
+      margin-top: 1.5rem;
+      padding-top: 1.5rem; }
+  html.theme--documenter-dark .media-left,
+  html.theme--documenter-dark .media-right {
+    flex-basis: auto;
+    flex-grow: 0;
+    flex-shrink: 0; }
+  html.theme--documenter-dark .media-left {
+    margin-right: 1rem; }
+  html.theme--documenter-dark .media-right {
+    margin-left: 1rem; }
+  html.theme--documenter-dark .media-content {
+    flex-basis: auto;
+    flex-grow: 1;
+    flex-shrink: 1;
+    text-align: left; }
+  @media screen and (max-width: 768px) {
+    html.theme--documenter-dark .media-content {
+      overflow-x: auto; } }
+  html.theme--documenter-dark .menu {
+    font-size: 15px; }
+    html.theme--documenter-dark .menu.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.menu {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .menu.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .menu.is-large {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .menu-list {
+    line-height: 1.25; }
+    html.theme--documenter-dark .menu-list a {
+      border-radius: 3px;
+      color: #fff;
+      display: block;
+      padding: 0.5em 0.75em; }
+      html.theme--documenter-dark .menu-list a:hover {
+        background-color: #282f2f;
+        color: #f2f2f2; }
+      html.theme--documenter-dark .menu-list a.is-active {
+        background-color: #1abc9c;
+        color: #fff; }
+    html.theme--documenter-dark .menu-list li ul {
+      border-left: 1px solid #5e6d6f;
+      margin: 0.75em;
+      padding-left: 0.75em; }
+  html.theme--documenter-dark .menu-label {
+    color: white;
+    font-size: 0.75em;
+    letter-spacing: 0.1em;
+    text-transform: uppercase; }
+    html.theme--documenter-dark .menu-label:not(:first-child) {
+      margin-top: 1em; }
+    html.theme--documenter-dark .menu-label:not(:last-child) {
+      margin-bottom: 1em; }
+  html.theme--documenter-dark .message {
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    font-size: 15px; }
+    html.theme--documenter-dark .message strong {
+      color: currentColor; }
+    html.theme--documenter-dark .message a:not(.button):not(.tag):not(.dropdown-item) {
+      color: currentColor;
+      text-decoration: underline; }
+    html.theme--documenter-dark .message.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.message {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .message.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .message.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .message.is-white {
+      background-color: white; }
+      html.theme--documenter-dark .message.is-white .message-header {
+        background-color: white;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .message.is-white .message-body {
+        border-color: white;
+        color: #4d4d4d; }
+    html.theme--documenter-dark .message.is-black {
+      background-color: #fafafa; }
+      html.theme--documenter-dark .message.is-black .message-header {
+        background-color: #0a0a0a;
+        color: white; }
+      html.theme--documenter-dark .message.is-black .message-body {
+        border-color: #0a0a0a;
+        color: #090909; }
+    html.theme--documenter-dark .message.is-light {
+      background-color: #f9fafb; }
+      html.theme--documenter-dark .message.is-light .message-header {
+        background-color: #ecf0f1;
+        color: #282f2f; }
+      html.theme--documenter-dark .message.is-light .message-body {
+        border-color: #ecf0f1;
+        color: #505050; }
+    html.theme--documenter-dark .message.is-dark, html.theme--documenter-dark .content kbd.message {
+      background-color: #f9fafa; }
+      html.theme--documenter-dark .message.is-dark .message-header, html.theme--documenter-dark .content kbd.message .message-header {
+        background-color: #282f2f;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .message.is-dark .message-body, html.theme--documenter-dark .content kbd.message .message-body {
+        border-color: #282f2f;
+        color: #212526; }
+    html.theme--documenter-dark .message.is-primary, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink {
+      background-color: #f8fafc; }
+      html.theme--documenter-dark .message.is-primary .message-header, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink .message-header {
+        background-color: #375a7f;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-primary .message-body, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink .message-body {
+        border-color: #375a7f;
+        color: #2b4159; }
+    html.theme--documenter-dark .message.is-link {
+      background-color: #f6fefc; }
+      html.theme--documenter-dark .message.is-link .message-header {
+        background-color: #1abc9c;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-link .message-body {
+        border-color: #1abc9c;
+        color: #0b2f28; }
+    html.theme--documenter-dark .message.is-info {
+      background-color: #f5fbff; }
+      html.theme--documenter-dark .message.is-info .message-header {
+        background-color: #024c7d;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-info .message-body {
+        border-color: #024c7d;
+        color: #033659; }
+    html.theme--documenter-dark .message.is-success {
+      background-color: #f5fff9; }
+      html.theme--documenter-dark .message.is-success .message-header {
+        background-color: #008438;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-success .message-body {
+        border-color: #008438;
+        color: #023518; }
+    html.theme--documenter-dark .message.is-warning {
+      background-color: #fffcf5; }
+      html.theme--documenter-dark .message.is-warning .message-header {
+        background-color: #ad8100;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-warning .message-body {
+        border-color: #ad8100;
+        color: #3d2e03; }
+    html.theme--documenter-dark .message.is-danger {
+      background-color: #fef6f6; }
+      html.theme--documenter-dark .message.is-danger .message-header {
+        background-color: #9e1b0d;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-danger .message-body {
+        border-color: #9e1b0d;
+        color: #7a170c; }
+  html.theme--documenter-dark .message-header {
+    align-items: center;
+    background-color: #fff;
+    border-radius: 0.4em 0.4em 0 0;
+    color: rgba(0, 0, 0, 0.7);
+    display: flex;
+    font-weight: 700;
+    justify-content: space-between;
+    line-height: 1.25;
+    padding: 0.75em 1em;
+    position: relative; }
+    html.theme--documenter-dark .message-header .delete {
+      flex-grow: 0;
+      flex-shrink: 0;
+      margin-left: 0.75em; }
+    html.theme--documenter-dark .message-header + .message-body {
+      border-width: 0;
+      border-top-left-radius: 0;
+      border-top-right-radius: 0; }
+  html.theme--documenter-dark .message-body {
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    border-style: solid;
+    border-width: 0 0 0 4px;
+    color: #fff;
+    padding: 1.25em 1.5em; }
+    html.theme--documenter-dark .message-body code,
+    html.theme--documenter-dark .message-body pre {
+      background-color: white; }
+    html.theme--documenter-dark .message-body pre code {
+      background-color: transparent; }
+  html.theme--documenter-dark .modal {
+    align-items: center;
+    display: none;
+    flex-direction: column;
+    justify-content: center;
+    overflow: hidden;
+    position: fixed;
+    z-index: 40; }
+    html.theme--documenter-dark .modal.is-active {
+      display: flex; }
+  html.theme--documenter-dark .modal-background {
+    background-color: rgba(10, 10, 10, 0.86); }
+  html.theme--documenter-dark .modal-content,
+  html.theme--documenter-dark .modal-card {
+    margin: 0 20px;
+    max-height: calc(100vh - 160px);
+    overflow: auto;
+    position: relative;
+    width: 100%; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .modal-content,
+      html.theme--documenter-dark .modal-card {
+        margin: 0 auto;
+        max-height: calc(100vh - 40px);
+        width: 640px; } }
+  html.theme--documenter-dark .modal-close {
+    background: none;
+    height: 40px;
+    position: fixed;
+    right: 20px;
+    top: 20px;
+    width: 40px; }
+  html.theme--documenter-dark .modal-card {
+    display: flex;
+    flex-direction: column;
+    max-height: calc(100vh - 40px);
+    overflow: hidden;
+    -ms-overflow-y: visible; }
+  html.theme--documenter-dark .modal-card-head,
+  html.theme--documenter-dark .modal-card-foot {
+    align-items: center;
+    background-color: #282f2f;
+    display: flex;
+    flex-shrink: 0;
+    justify-content: flex-start;
+    padding: 20px;
+    position: relative; }
+  html.theme--documenter-dark .modal-card-head {
+    border-bottom: 1px solid #5e6d6f;
+    border-top-left-radius: 8px;
+    border-top-right-radius: 8px; }
+  html.theme--documenter-dark .modal-card-title {
+    color: #f2f2f2;
+    flex-grow: 1;
+    flex-shrink: 0;
+    font-size: 1.5rem;
+    line-height: 1; }
+  html.theme--documenter-dark .modal-card-foot {
+    border-bottom-left-radius: 8px;
+    border-bottom-right-radius: 8px;
+    border-top: 1px solid #5e6d6f; }
+    html.theme--documenter-dark .modal-card-foot .button:not(:last-child) {
+      margin-right: 0.5em; }
+  html.theme--documenter-dark .modal-card-body {
+    -webkit-overflow-scrolling: touch;
+    background-color: white;
+    flex-grow: 1;
+    flex-shrink: 1;
+    overflow: auto;
+    padding: 20px; }
+  html.theme--documenter-dark .navbar {
+    background-color: #375a7f;
+    min-height: 4rem;
+    position: relative;
+    z-index: 30; }
+    html.theme--documenter-dark .navbar.is-white {
+      background-color: white;
+      color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link {
+        color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link.is-active {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link::after {
+        border-color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-burger {
+        color: #0a0a0a; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-white .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link {
+          color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link.is-active {
+          background-color: #f2f2f2;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link::after {
+          border-color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #f2f2f2;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-dropdown a.navbar-item.is-active {
+          background-color: white;
+          color: #0a0a0a; } }
+    html.theme--documenter-dark .navbar.is-black {
+      background-color: #0a0a0a;
+      color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link {
+        color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link.is-active {
+        background-color: black;
+        color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link::after {
+        border-color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-burger {
+        color: white; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-black .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link {
+          color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link.is-active {
+          background-color: black;
+          color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link::after {
+          border-color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: black;
+          color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-dropdown a.navbar-item.is-active {
+          background-color: #0a0a0a;
+          color: white; } }
+    html.theme--documenter-dark .navbar.is-light {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link {
+        color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link.is-active {
+        background-color: #dde4e6;
+        color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link::after {
+        border-color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-burger {
+        color: #282f2f; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-light .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link {
+          color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link.is-active {
+          background-color: #dde4e6;
+          color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link::after {
+          border-color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #dde4e6;
+          color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-dropdown a.navbar-item.is-active {
+          background-color: #ecf0f1;
+          color: #282f2f; } }
+    html.theme--documenter-dark .navbar.is-dark, html.theme--documenter-dark .content kbd.navbar {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand > .navbar-item, html.theme--documenter-dark .content kbd.navbar .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link {
+        color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link.is-active,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link.is-active {
+        background-color: #1d2122;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link::after, html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link::after {
+        border-color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-burger, html.theme--documenter-dark .content kbd.navbar .navbar-burger {
+        color: #ecf0f1; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-dark .navbar-start > .navbar-item, html.theme--documenter-dark .content kbd.navbar .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > .navbar-item,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link {
+          color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link.is-active,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link.is-active {
+          background-color: #1d2122;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link::after, html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link::after,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link::after {
+          border-color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown.is-active .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #1d2122;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-dropdown a.navbar-item.is-active {
+          background-color: #282f2f;
+          color: #ecf0f1; } }
+    html.theme--documenter-dark .navbar.is-primary, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink {
+      background-color: #375a7f;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand > .navbar-item, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link.is-active,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link.is-active {
+        background-color: #2f4d6d;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link::after, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-burger, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-primary .navbar-start > .navbar-item, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > .navbar-item,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link.is-active,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link.is-active {
+          background-color: #2f4d6d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link::after, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link::after,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown.is-active .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #2f4d6d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active {
+          background-color: #375a7f;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-link {
+      background-color: #1abc9c;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link.is-active {
+        background-color: #17a689;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-link .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link.is-active {
+          background-color: #17a689;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #17a689;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-dropdown a.navbar-item.is-active {
+          background-color: #1abc9c;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-info {
+      background-color: #024c7d;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link.is-active {
+        background-color: #023d64;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-info .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link.is-active {
+          background-color: #023d64;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #023d64;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-dropdown a.navbar-item.is-active {
+          background-color: #024c7d;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-success {
+      background-color: #008438;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link.is-active {
+        background-color: #006b2d;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-success .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link.is-active {
+          background-color: #006b2d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #006b2d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-dropdown a.navbar-item.is-active {
+          background-color: #008438;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-warning {
+      background-color: #ad8100;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link.is-active {
+        background-color: #946e00;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-warning .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link.is-active {
+          background-color: #946e00;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #946e00;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-dropdown a.navbar-item.is-active {
+          background-color: #ad8100;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-danger {
+      background-color: #9e1b0d;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link.is-active {
+        background-color: #86170b;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-danger .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link.is-active {
+          background-color: #86170b;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #86170b;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-dropdown a.navbar-item.is-active {
+          background-color: #9e1b0d;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar > .container {
+      align-items: stretch;
+      display: flex;
+      min-height: 4rem;
+      width: 100%; }
+    html.theme--documenter-dark .navbar.has-shadow {
+      box-shadow: 0 2px 0 0 #282f2f; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom, html.theme--documenter-dark .navbar.is-fixed-top {
+      left: 0;
+      position: fixed;
+      right: 0;
+      z-index: 30; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom {
+      bottom: 0; }
+      html.theme--documenter-dark .navbar.is-fixed-bottom.has-shadow {
+        box-shadow: 0 -2px 0 0 #282f2f; }
+    html.theme--documenter-dark .navbar.is-fixed-top {
+      top: 0; }
+  html.theme--documenter-dark html.has-navbar-fixed-top,
+  html.theme--documenter-dark body.has-navbar-fixed-top {
+    padding-top: 4rem; }
+  html.theme--documenter-dark html.has-navbar-fixed-bottom,
+  html.theme--documenter-dark body.has-navbar-fixed-bottom {
+    padding-bottom: 4rem; }
+  html.theme--documenter-dark .navbar-brand,
+  html.theme--documenter-dark .navbar-tabs {
+    align-items: stretch;
+    display: flex;
+    flex-shrink: 0;
+    min-height: 4rem; }
+  html.theme--documenter-dark .navbar-brand a.navbar-item:focus, html.theme--documenter-dark .navbar-brand a.navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .navbar-tabs {
+    -webkit-overflow-scrolling: touch;
+    max-width: 100vw;
+    overflow-x: auto;
+    overflow-y: hidden; }
+  html.theme--documenter-dark .navbar-burger {
+    color: #fff;
+    cursor: pointer;
+    display: block;
+    height: 4rem;
+    position: relative;
+    width: 4rem;
+    margin-left: auto; }
+    html.theme--documenter-dark .navbar-burger span {
+      background-color: currentColor;
+      display: block;
+      height: 1px;
+      left: calc(50% - 8px);
+      position: absolute;
+      transform-origin: center;
+      transition-duration: 86ms;
+      transition-property: background-color, opacity, transform;
+      transition-timing-function: ease-out;
+      width: 16px; }
+      html.theme--documenter-dark .navbar-burger span:nth-child(1) {
+        top: calc(50% - 6px); }
+      html.theme--documenter-dark .navbar-burger span:nth-child(2) {
+        top: calc(50% - 1px); }
+      html.theme--documenter-dark .navbar-burger span:nth-child(3) {
+        top: calc(50% + 4px); }
+    html.theme--documenter-dark .navbar-burger:hover {
+      background-color: rgba(0, 0, 0, 0.05); }
+    html.theme--documenter-dark .navbar-burger.is-active span:nth-child(1) {
+      transform: translateY(5px) rotate(45deg); }
+    html.theme--documenter-dark .navbar-burger.is-active span:nth-child(2) {
+      opacity: 0; }
+    html.theme--documenter-dark .navbar-burger.is-active span:nth-child(3) {
+      transform: translateY(-5px) rotate(-45deg); }
+  html.theme--documenter-dark .navbar-menu {
+    display: none; }
+  html.theme--documenter-dark .navbar-item,
+  html.theme--documenter-dark .navbar-link {
+    color: #fff;
+    display: block;
+    line-height: 1.5;
+    padding: 0.5rem 0.75rem;
+    position: relative; }
+    html.theme--documenter-dark .navbar-item .icon:only-child,
+    html.theme--documenter-dark .navbar-link .icon:only-child {
+      margin-left: -0.25rem;
+      margin-right: -0.25rem; }
+  html.theme--documenter-dark a.navbar-item,
+  html.theme--documenter-dark .navbar-link {
+    cursor: pointer; }
+    html.theme--documenter-dark a.navbar-item:focus, html.theme--documenter-dark a.navbar-item:focus-within, html.theme--documenter-dark a.navbar-item:hover, html.theme--documenter-dark a.navbar-item.is-active,
+    html.theme--documenter-dark .navbar-link:focus,
+    html.theme--documenter-dark .navbar-link:focus-within,
+    html.theme--documenter-dark .navbar-link:hover,
+    html.theme--documenter-dark .navbar-link.is-active {
+      background-color: transparent;
+      color: #1abc9c; }
+  html.theme--documenter-dark .navbar-item {
+    display: block;
+    flex-grow: 0;
+    flex-shrink: 0; }
+    html.theme--documenter-dark .navbar-item img {
+      max-height: 1.75rem; }
+    html.theme--documenter-dark .navbar-item.has-dropdown {
+      padding: 0; }
+    html.theme--documenter-dark .navbar-item.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .navbar-item.is-tab {
+      border-bottom: 1px solid transparent;
+      min-height: 4rem;
+      padding-bottom: calc(0.5rem - 1px); }
+      html.theme--documenter-dark .navbar-item.is-tab:focus, html.theme--documenter-dark .navbar-item.is-tab:hover {
+        background-color: transparent;
+        border-bottom-color: #1abc9c; }
+      html.theme--documenter-dark .navbar-item.is-tab.is-active {
+        background-color: transparent;
+        border-bottom-color: #1abc9c;
+        border-bottom-style: solid;
+        border-bottom-width: 3px;
+        color: #1abc9c;
+        padding-bottom: calc(0.5rem - 3px); }
+  html.theme--documenter-dark .navbar-content {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  html.theme--documenter-dark .navbar-link:not(.is-arrowless) {
+    padding-right: 2.5em; }
+    html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after {
+      border-color: #fff;
+      margin-top: -0.375em;
+      right: 1.125em; }
+  html.theme--documenter-dark .navbar-dropdown {
+    font-size: 0.875rem;
+    padding-bottom: 0.5rem;
+    padding-top: 0.5rem; }
+    html.theme--documenter-dark .navbar-dropdown .navbar-item {
+      padding-left: 1.5rem;
+      padding-right: 1.5rem; }
+  html.theme--documenter-dark .navbar-divider {
+    background-color: rgba(0, 0, 0, 0.2);
+    border: none;
+    display: none;
+    height: 2px;
+    margin: 0.5rem 0; }
+  @media screen and (max-width: 1055px) {
+    html.theme--documenter-dark .navbar > .container {
+      display: block; }
+    html.theme--documenter-dark .navbar-brand .navbar-item,
+    html.theme--documenter-dark .navbar-tabs .navbar-item {
+      align-items: center;
+      display: flex; }
+    html.theme--documenter-dark .navbar-link::after {
+      display: none; }
+    html.theme--documenter-dark .navbar-menu {
+      background-color: #375a7f;
+      box-shadow: 0 8px 16px rgba(10, 10, 10, 0.1);
+      padding: 0.5rem 0; }
+      html.theme--documenter-dark .navbar-menu.is-active {
+        display: block; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-touch, html.theme--documenter-dark .navbar.is-fixed-top-touch {
+      left: 0;
+      position: fixed;
+      right: 0;
+      z-index: 30; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-touch {
+      bottom: 0; }
+      html.theme--documenter-dark .navbar.is-fixed-bottom-touch.has-shadow {
+        box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+    html.theme--documenter-dark .navbar.is-fixed-top-touch {
+      top: 0; }
+    html.theme--documenter-dark .navbar.is-fixed-top .navbar-menu, html.theme--documenter-dark .navbar.is-fixed-top-touch .navbar-menu {
+      -webkit-overflow-scrolling: touch;
+      max-height: calc(100vh - 4rem);
+      overflow: auto; }
+    html.theme--documenter-dark html.has-navbar-fixed-top-touch,
+    html.theme--documenter-dark body.has-navbar-fixed-top-touch {
+      padding-top: 4rem; }
+    html.theme--documenter-dark html.has-navbar-fixed-bottom-touch,
+    html.theme--documenter-dark body.has-navbar-fixed-bottom-touch {
+      padding-bottom: 4rem; } }
+  @media screen and (min-width: 1056px) {
+    html.theme--documenter-dark .navbar,
+    html.theme--documenter-dark .navbar-menu,
+    html.theme--documenter-dark .navbar-start,
+    html.theme--documenter-dark .navbar-end {
+      align-items: stretch;
+      display: flex; }
+    html.theme--documenter-dark .navbar {
+      min-height: 4rem; }
+      html.theme--documenter-dark .navbar.is-spaced {
+        padding: 1rem 2rem; }
+        html.theme--documenter-dark .navbar.is-spaced .navbar-start,
+        html.theme--documenter-dark .navbar.is-spaced .navbar-end {
+          align-items: center; }
+        html.theme--documenter-dark .navbar.is-spaced a.navbar-item,
+        html.theme--documenter-dark .navbar.is-spaced .navbar-link {
+          border-radius: 0.4em; }
+      html.theme--documenter-dark .navbar.is-transparent a.navbar-item:focus, html.theme--documenter-dark .navbar.is-transparent a.navbar-item:hover, html.theme--documenter-dark .navbar.is-transparent a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-transparent .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-transparent .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-transparent .navbar-link.is-active {
+        background-color: transparent !important; }
+      html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-active .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus-within .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:hover .navbar-link {
+        background-color: transparent !important; }
+      html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item:focus, html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item:hover {
+        background-color: transparent;
+        color: #dbdee0; }
+      html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item.is-active {
+        background-color: transparent;
+        color: #1abc9c; }
+    html.theme--documenter-dark .navbar-burger {
+      display: none; }
+    html.theme--documenter-dark .navbar-item,
+    html.theme--documenter-dark .navbar-link {
+      align-items: center;
+      display: flex; }
+    html.theme--documenter-dark .navbar-item {
+      display: flex; }
+      html.theme--documenter-dark .navbar-item.has-dropdown {
+        align-items: stretch; }
+      html.theme--documenter-dark .navbar-item.has-dropdown-up .navbar-link::after {
+        transform: rotate(135deg) translate(0.25em, -0.25em); }
+      html.theme--documenter-dark .navbar-item.has-dropdown-up .navbar-dropdown {
+        border-bottom: 1px solid rgba(0, 0, 0, 0.2);
+        border-radius: 8px 8px 0 0;
+        border-top: none;
+        bottom: 100%;
+        box-shadow: 0 -8px 8px rgba(10, 10, 10, 0.1);
+        top: auto; }
+      html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown {
+        display: block; }
+        .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed {
+          opacity: 1;
+          pointer-events: auto;
+          transform: translateY(0); }
+    html.theme--documenter-dark .navbar-menu {
+      flex-grow: 1;
+      flex-shrink: 0; }
+    html.theme--documenter-dark .navbar-start {
+      justify-content: flex-start;
+      margin-right: auto; }
+    html.theme--documenter-dark .navbar-end {
+      justify-content: flex-end;
+      margin-left: auto; }
+    html.theme--documenter-dark .navbar-dropdown {
+      background-color: #375a7f;
+      border-bottom-left-radius: 8px;
+      border-bottom-right-radius: 8px;
+      border-top: 1px solid rgba(0, 0, 0, 0.2);
+      box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1);
+      display: none;
+      font-size: 0.875rem;
+      left: 0;
+      min-width: 100%;
+      position: absolute;
+      top: 100%;
+      z-index: 20; }
+      html.theme--documenter-dark .navbar-dropdown .navbar-item {
+        padding: 0.375rem 1rem;
+        white-space: nowrap; }
+      html.theme--documenter-dark .navbar-dropdown a.navbar-item {
+        padding-right: 3rem; }
+        html.theme--documenter-dark .navbar-dropdown a.navbar-item:focus, html.theme--documenter-dark .navbar-dropdown a.navbar-item:hover {
+          background-color: transparent;
+          color: #dbdee0; }
+        html.theme--documenter-dark .navbar-dropdown a.navbar-item.is-active {
+          background-color: transparent;
+          color: #1abc9c; }
+      .navbar.is-spaced html.theme--documenter-dark .navbar-dropdown, html.theme--documenter-dark .navbar-dropdown.is-boxed {
+        border-radius: 8px;
+        border-top: none;
+        box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+        display: block;
+        opacity: 0;
+        pointer-events: none;
+        top: calc(100% + (-4px));
+        transform: translateY(-5px);
+        transition-duration: 86ms;
+        transition-property: opacity, transform; }
+      html.theme--documenter-dark .navbar-dropdown.is-right {
+        left: auto;
+        right: 0; }
+    html.theme--documenter-dark .navbar-divider {
+      display: block; }
+    html.theme--documenter-dark .navbar > .container .navbar-brand,
+    html.theme--documenter-dark .container > .navbar .navbar-brand {
+      margin-left: -.75rem; }
+    html.theme--documenter-dark .navbar > .container .navbar-menu,
+    html.theme--documenter-dark .container > .navbar .navbar-menu {
+      margin-right: -.75rem; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-desktop, html.theme--documenter-dark .navbar.is-fixed-top-desktop {
+      left: 0;
+      position: fixed;
+      right: 0;
+      z-index: 30; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-desktop {
+      bottom: 0; }
+      html.theme--documenter-dark .navbar.is-fixed-bottom-desktop.has-shadow {
+        box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+    html.theme--documenter-dark .navbar.is-fixed-top-desktop {
+      top: 0; }
+    html.theme--documenter-dark html.has-navbar-fixed-top-desktop,
+    html.theme--documenter-dark body.has-navbar-fixed-top-desktop {
+      padding-top: 4rem; }
+    html.theme--documenter-dark html.has-navbar-fixed-bottom-desktop,
+    html.theme--documenter-dark body.has-navbar-fixed-bottom-desktop {
+      padding-bottom: 4rem; }
+    html.theme--documenter-dark html.has-spaced-navbar-fixed-top,
+    html.theme--documenter-dark body.has-spaced-navbar-fixed-top {
+      padding-top: 6rem; }
+    html.theme--documenter-dark html.has-spaced-navbar-fixed-bottom,
+    html.theme--documenter-dark body.has-spaced-navbar-fixed-bottom {
+      padding-bottom: 6rem; }
+    html.theme--documenter-dark a.navbar-item.is-active,
+    html.theme--documenter-dark .navbar-link.is-active {
+      color: #1abc9c; }
+    html.theme--documenter-dark a.navbar-item.is-active:not(:focus):not(:hover),
+    html.theme--documenter-dark .navbar-link.is-active:not(:focus):not(:hover) {
+      background-color: transparent; }
+    html.theme--documenter-dark .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .navbar-item.has-dropdown:hover .navbar-link, html.theme--documenter-dark .navbar-item.has-dropdown.is-active .navbar-link {
+      background-color: transparent; } }
+  html.theme--documenter-dark .hero.is-fullheight-with-navbar {
+    min-height: calc(100vh - 4rem); }
+  html.theme--documenter-dark .pagination {
+    font-size: 15px;
+    margin: -0.25rem; }
+    html.theme--documenter-dark .pagination.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .pagination.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .pagination.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .pagination.is-rounded .pagination-previous, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-previous,
+    html.theme--documenter-dark .pagination.is-rounded .pagination-next,
+    html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-next {
+      padding-left: 1em;
+      padding-right: 1em;
+      border-radius: 290486px; }
+    html.theme--documenter-dark .pagination.is-rounded .pagination-link, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-link {
+      border-radius: 290486px; }
+  html.theme--documenter-dark .pagination,
+  html.theme--documenter-dark .pagination-list {
+    align-items: center;
+    display: flex;
+    justify-content: center;
+    text-align: center; }
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark .pagination-ellipsis {
+    font-size: 1em;
+    justify-content: center;
+    margin: 0.25rem;
+    padding-left: 0.5em;
+    padding-right: 0.5em;
+    text-align: center; }
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-link {
+    border-color: #5e6d6f;
+    color: #1abc9c;
+    min-width: 2.25em; }
+    html.theme--documenter-dark .pagination-previous:hover,
+    html.theme--documenter-dark .pagination-next:hover,
+    html.theme--documenter-dark .pagination-link:hover {
+      border-color: #8c9b9d;
+      color: #1dd2af; }
+    html.theme--documenter-dark .pagination-previous:focus,
+    html.theme--documenter-dark .pagination-next:focus,
+    html.theme--documenter-dark .pagination-link:focus {
+      border-color: #8c9b9d; }
+    html.theme--documenter-dark .pagination-previous:active,
+    html.theme--documenter-dark .pagination-next:active,
+    html.theme--documenter-dark .pagination-link:active {
+      box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2); }
+    html.theme--documenter-dark .pagination-previous[disabled],
+    html.theme--documenter-dark .pagination-next[disabled],
+    html.theme--documenter-dark .pagination-link[disabled] {
+      background-color: #dbdee0;
+      border-color: #dbdee0;
+      box-shadow: none;
+      color: #5e6d6f;
+      opacity: 0.5; }
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .pagination-next {
+    padding-left: 0.75em;
+    padding-right: 0.75em;
+    white-space: nowrap; }
+  html.theme--documenter-dark .pagination-link.is-current {
+    background-color: #1abc9c;
+    border-color: #1abc9c;
+    color: #fff; }
+  html.theme--documenter-dark .pagination-ellipsis {
+    color: #8c9b9d;
+    pointer-events: none; }
+  html.theme--documenter-dark .pagination-list {
+    flex-wrap: wrap; }
+  @media screen and (max-width: 768px) {
+    html.theme--documenter-dark .pagination {
+      flex-wrap: wrap; }
+    html.theme--documenter-dark .pagination-previous,
+    html.theme--documenter-dark .pagination-next {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .pagination-list li {
+      flex-grow: 1;
+      flex-shrink: 1; } }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .pagination-list {
+      flex-grow: 1;
+      flex-shrink: 1;
+      justify-content: flex-start;
+      order: 1; }
+    html.theme--documenter-dark .pagination-previous {
+      order: 2; }
+    html.theme--documenter-dark .pagination-next {
+      order: 3; }
+    html.theme--documenter-dark .pagination {
+      justify-content: space-between; }
+      html.theme--documenter-dark .pagination.is-centered .pagination-previous {
+        order: 1; }
+      html.theme--documenter-dark .pagination.is-centered .pagination-list {
+        justify-content: center;
+        order: 2; }
+      html.theme--documenter-dark .pagination.is-centered .pagination-next {
+        order: 3; }
+      html.theme--documenter-dark .pagination.is-right .pagination-previous {
+        order: 1; }
+      html.theme--documenter-dark .pagination.is-right .pagination-next {
+        order: 2; }
+      html.theme--documenter-dark .pagination.is-right .pagination-list {
+        justify-content: flex-end;
+        order: 3; } }
+  html.theme--documenter-dark .panel {
+    font-size: 15px; }
+    html.theme--documenter-dark .panel:not(:last-child) {
+      margin-bottom: 1.5rem; }
+  html.theme--documenter-dark .panel-heading,
+  html.theme--documenter-dark .panel-tabs,
+  html.theme--documenter-dark .panel-block {
+    border-bottom: 1px solid #5e6d6f;
+    border-left: 1px solid #5e6d6f;
+    border-right: 1px solid #5e6d6f; }
+    html.theme--documenter-dark .panel-heading:first-child,
+    html.theme--documenter-dark .panel-tabs:first-child,
+    html.theme--documenter-dark .panel-block:first-child {
+      border-top: 1px solid #5e6d6f; }
+  html.theme--documenter-dark .panel-heading {
+    background-color: #282f2f;
+    border-radius: 0.4em 0.4em 0 0;
+    color: #f2f2f2;
+    font-size: 1.25em;
+    font-weight: 300;
+    line-height: 1.25;
+    padding: 0.5em 0.75em; }
+  html.theme--documenter-dark .panel-tabs {
+    align-items: flex-end;
+    display: flex;
+    font-size: 0.875em;
+    justify-content: center; }
+    html.theme--documenter-dark .panel-tabs a {
+      border-bottom: 1px solid #5e6d6f;
+      margin-bottom: -1px;
+      padding: 0.5em; }
+      html.theme--documenter-dark .panel-tabs a.is-active {
+        border-bottom-color: #343c3d;
+        color: #17a689; }
+  html.theme--documenter-dark .panel-list a {
+    color: #fff; }
+    html.theme--documenter-dark .panel-list a:hover {
+      color: #1abc9c; }
+  html.theme--documenter-dark .panel-block {
+    align-items: center;
+    color: #f2f2f2;
+    display: flex;
+    justify-content: flex-start;
+    padding: 0.5em 0.75em; }
+    html.theme--documenter-dark .panel-block input[type="checkbox"] {
+      margin-right: 0.75em; }
+    html.theme--documenter-dark .panel-block > .control {
+      flex-grow: 1;
+      flex-shrink: 1;
+      width: 100%; }
+    html.theme--documenter-dark .panel-block.is-wrapped {
+      flex-wrap: wrap; }
+    html.theme--documenter-dark .panel-block.is-active {
+      border-left-color: #1abc9c;
+      color: #17a689; }
+      html.theme--documenter-dark .panel-block.is-active .panel-icon {
+        color: #1abc9c; }
+  html.theme--documenter-dark a.panel-block,
+  html.theme--documenter-dark label.panel-block {
+    cursor: pointer; }
+    html.theme--documenter-dark a.panel-block:hover,
+    html.theme--documenter-dark label.panel-block:hover {
+      background-color: #282f2f; }
+  html.theme--documenter-dark .panel-icon {
+    display: inline-block;
+    font-size: 14px;
+    height: 1em;
+    line-height: 1em;
+    text-align: center;
+    vertical-align: top;
+    width: 1em;
+    color: white;
+    margin-right: 0.75em; }
+    html.theme--documenter-dark .panel-icon .fa {
+      font-size: inherit;
+      line-height: inherit; }
+  html.theme--documenter-dark .tabs {
+    -webkit-overflow-scrolling: touch;
+    align-items: stretch;
+    display: flex;
+    font-size: 15px;
+    justify-content: space-between;
+    overflow: hidden;
+    overflow-x: auto;
+    white-space: nowrap; }
+    html.theme--documenter-dark .tabs a {
+      align-items: center;
+      border-bottom-color: #5e6d6f;
+      border-bottom-style: solid;
+      border-bottom-width: 1px;
+      color: #fff;
+      display: flex;
+      justify-content: center;
+      margin-bottom: -1px;
+      padding: 0.5em 1em;
+      vertical-align: top; }
+      html.theme--documenter-dark .tabs a:hover {
+        border-bottom-color: #f2f2f2;
+        color: #f2f2f2; }
+    html.theme--documenter-dark .tabs li {
+      display: block; }
+      html.theme--documenter-dark .tabs li.is-active a {
+        border-bottom-color: #1abc9c;
+        color: #1abc9c; }
+    html.theme--documenter-dark .tabs ul {
+      align-items: center;
+      border-bottom-color: #5e6d6f;
+      border-bottom-style: solid;
+      border-bottom-width: 1px;
+      display: flex;
+      flex-grow: 1;
+      flex-shrink: 0;
+      justify-content: flex-start; }
+      html.theme--documenter-dark .tabs ul.is-left {
+        padding-right: 0.75em; }
+      html.theme--documenter-dark .tabs ul.is-center {
+        flex: none;
+        justify-content: center;
+        padding-left: 0.75em;
+        padding-right: 0.75em; }
+      html.theme--documenter-dark .tabs ul.is-right {
+        justify-content: flex-end;
+        padding-left: 0.75em; }
+    html.theme--documenter-dark .tabs .icon:first-child {
+      margin-right: 0.5em; }
+    html.theme--documenter-dark .tabs .icon:last-child {
+      margin-left: 0.5em; }
+    html.theme--documenter-dark .tabs.is-centered ul {
+      justify-content: center; }
+    html.theme--documenter-dark .tabs.is-right ul {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .tabs.is-boxed a {
+      border: 1px solid transparent;
+      border-radius: 0.4em 0.4em 0 0; }
+      html.theme--documenter-dark .tabs.is-boxed a:hover {
+        background-color: #282f2f;
+        border-bottom-color: #5e6d6f; }
+    html.theme--documenter-dark .tabs.is-boxed li.is-active a {
+      background-color: white;
+      border-color: #5e6d6f;
+      border-bottom-color: transparent !important; }
+    html.theme--documenter-dark .tabs.is-fullwidth li {
+      flex-grow: 1;
+      flex-shrink: 0; }
+    html.theme--documenter-dark .tabs.is-toggle a {
+      border-color: #5e6d6f;
+      border-style: solid;
+      border-width: 1px;
+      margin-bottom: 0;
+      position: relative; }
+      html.theme--documenter-dark .tabs.is-toggle a:hover {
+        background-color: #282f2f;
+        border-color: #8c9b9d;
+        z-index: 2; }
+    html.theme--documenter-dark .tabs.is-toggle li + li {
+      margin-left: -1px; }
+    html.theme--documenter-dark .tabs.is-toggle li:first-child a {
+      border-radius: 0.4em 0 0 0.4em; }
+    html.theme--documenter-dark .tabs.is-toggle li:last-child a {
+      border-radius: 0 0.4em 0.4em 0; }
+    html.theme--documenter-dark .tabs.is-toggle li.is-active a {
+      background-color: #1abc9c;
+      border-color: #1abc9c;
+      color: #fff;
+      z-index: 1; }
+    html.theme--documenter-dark .tabs.is-toggle ul {
+      border-bottom: none; }
+    html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:first-child a {
+      border-bottom-left-radius: 290486px;
+      border-top-left-radius: 290486px;
+      padding-left: 1.25em; }
+    html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:last-child a {
+      border-bottom-right-radius: 290486px;
+      border-top-right-radius: 290486px;
+      padding-right: 1.25em; }
+    html.theme--documenter-dark .tabs.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.tabs {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .tabs.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .tabs.is-large {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .column {
+    display: block;
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 1;
+    padding: 0.75rem; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-narrow {
+      flex: none; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-full {
+      flex: none;
+      width: 100%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-three-quarters {
+      flex: none;
+      width: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-two-thirds {
+      flex: none;
+      width: 66.6666%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-half {
+      flex: none;
+      width: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-one-third {
+      flex: none;
+      width: 33.3333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-one-quarter {
+      flex: none;
+      width: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-one-fifth {
+      flex: none;
+      width: 20%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-two-fifths {
+      flex: none;
+      width: 40%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-three-fifths {
+      flex: none;
+      width: 60%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-four-fifths {
+      flex: none;
+      width: 80%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-three-quarters {
+      margin-left: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-two-thirds {
+      margin-left: 66.6666%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-half {
+      margin-left: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-third {
+      margin-left: 33.3333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-quarter {
+      margin-left: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-fifth {
+      margin-left: 20%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-two-fifths {
+      margin-left: 40%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-three-fifths {
+      margin-left: 60%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-four-fifths {
+      margin-left: 80%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-0 {
+      flex: none;
+      width: 0%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-0 {
+      margin-left: 0%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-1 {
+      flex: none;
+      width: 8.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-1 {
+      margin-left: 8.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-2 {
+      flex: none;
+      width: 16.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-2 {
+      margin-left: 16.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-3 {
+      flex: none;
+      width: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-3 {
+      margin-left: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-4 {
+      flex: none;
+      width: 33.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-4 {
+      margin-left: 33.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-5 {
+      flex: none;
+      width: 41.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-5 {
+      margin-left: 41.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-6 {
+      flex: none;
+      width: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-6 {
+      margin-left: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-7 {
+      flex: none;
+      width: 58.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-7 {
+      margin-left: 58.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-8 {
+      flex: none;
+      width: 66.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-8 {
+      margin-left: 66.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-9 {
+      flex: none;
+      width: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-9 {
+      margin-left: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-10 {
+      flex: none;
+      width: 83.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-10 {
+      margin-left: 83.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-11 {
+      flex: none;
+      width: 91.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-11 {
+      margin-left: 91.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-12 {
+      flex: none;
+      width: 100%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-12 {
+      margin-left: 100%; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .column.is-narrow-mobile {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-mobile {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-mobile {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-mobile {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-mobile {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-mobile {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-mobile {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-mobile {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-mobile {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-mobile {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-mobile {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-mobile {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-mobile {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-mobile {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-mobile {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-mobile {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-mobile {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-mobile {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-mobile {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-mobile {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-mobile {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-mobile {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-mobile {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-mobile {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-mobile {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-mobile {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-mobile {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-mobile {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-mobile {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-mobile {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-mobile {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-mobile {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-mobile {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-mobile {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-mobile {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-mobile {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-mobile {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-mobile {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-mobile {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-mobile {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-mobile {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-mobile {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-mobile {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-mobile {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-mobile {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-mobile {
+        margin-left: 100%; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .column.is-narrow, html.theme--documenter-dark .column.is-narrow-tablet {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full, html.theme--documenter-dark .column.is-full-tablet {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters, html.theme--documenter-dark .column.is-three-quarters-tablet {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds, html.theme--documenter-dark .column.is-two-thirds-tablet {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half, html.theme--documenter-dark .column.is-half-tablet {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third, html.theme--documenter-dark .column.is-one-third-tablet {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter, html.theme--documenter-dark .column.is-one-quarter-tablet {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth, html.theme--documenter-dark .column.is-one-fifth-tablet {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths, html.theme--documenter-dark .column.is-two-fifths-tablet {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths, html.theme--documenter-dark .column.is-three-fifths-tablet {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths, html.theme--documenter-dark .column.is-four-fifths-tablet {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters, html.theme--documenter-dark .column.is-offset-three-quarters-tablet {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds, html.theme--documenter-dark .column.is-offset-two-thirds-tablet {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half, html.theme--documenter-dark .column.is-offset-half-tablet {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third, html.theme--documenter-dark .column.is-offset-one-third-tablet {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter, html.theme--documenter-dark .column.is-offset-one-quarter-tablet {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth, html.theme--documenter-dark .column.is-offset-one-fifth-tablet {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths, html.theme--documenter-dark .column.is-offset-two-fifths-tablet {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths, html.theme--documenter-dark .column.is-offset-three-fifths-tablet {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths, html.theme--documenter-dark .column.is-offset-four-fifths-tablet {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0, html.theme--documenter-dark .column.is-0-tablet {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0, html.theme--documenter-dark .column.is-offset-0-tablet {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1, html.theme--documenter-dark .column.is-1-tablet {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1, html.theme--documenter-dark .column.is-offset-1-tablet {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2, html.theme--documenter-dark .column.is-2-tablet {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2, html.theme--documenter-dark .column.is-offset-2-tablet {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3, html.theme--documenter-dark .column.is-3-tablet {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3, html.theme--documenter-dark .column.is-offset-3-tablet {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4, html.theme--documenter-dark .column.is-4-tablet {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4, html.theme--documenter-dark .column.is-offset-4-tablet {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5, html.theme--documenter-dark .column.is-5-tablet {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5, html.theme--documenter-dark .column.is-offset-5-tablet {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6, html.theme--documenter-dark .column.is-6-tablet {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6, html.theme--documenter-dark .column.is-offset-6-tablet {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7, html.theme--documenter-dark .column.is-7-tablet {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7, html.theme--documenter-dark .column.is-offset-7-tablet {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8, html.theme--documenter-dark .column.is-8-tablet {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8, html.theme--documenter-dark .column.is-offset-8-tablet {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9, html.theme--documenter-dark .column.is-9-tablet {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9, html.theme--documenter-dark .column.is-offset-9-tablet {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10, html.theme--documenter-dark .column.is-10-tablet {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10, html.theme--documenter-dark .column.is-offset-10-tablet {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11, html.theme--documenter-dark .column.is-11-tablet {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11, html.theme--documenter-dark .column.is-offset-11-tablet {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12, html.theme--documenter-dark .column.is-12-tablet {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12, html.theme--documenter-dark .column.is-offset-12-tablet {
+        margin-left: 100%; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .column.is-narrow-touch {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-touch {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-touch {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-touch {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-touch {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-touch {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-touch {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-touch {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-touch {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-touch {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-touch {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-touch {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-touch {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-touch {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-touch {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-touch {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-touch {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-touch {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-touch {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-touch {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-touch {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-touch {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-touch {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-touch {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-touch {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-touch {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-touch {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-touch {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-touch {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-touch {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-touch {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-touch {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-touch {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-touch {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-touch {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-touch {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-touch {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-touch {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-touch {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-touch {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-touch {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-touch {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-touch {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-touch {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-touch {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-touch {
+        margin-left: 100%; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .column.is-narrow-desktop {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-desktop {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-desktop {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-desktop {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-desktop {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-desktop {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-desktop {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-desktop {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-desktop {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-desktop {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-desktop {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-desktop {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-desktop {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-desktop {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-desktop {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-desktop {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-desktop {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-desktop {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-desktop {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-desktop {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-desktop {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-desktop {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-desktop {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-desktop {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-desktop {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-desktop {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-desktop {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-desktop {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-desktop {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-desktop {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-desktop {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-desktop {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-desktop {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-desktop {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-desktop {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-desktop {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-desktop {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-desktop {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-desktop {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-desktop {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-desktop {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-desktop {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-desktop {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-desktop {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-desktop {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-desktop {
+        margin-left: 100%; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .column.is-narrow-widescreen {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-widescreen {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-widescreen {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-widescreen {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-widescreen {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-widescreen {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-widescreen {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-widescreen {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-widescreen {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-widescreen {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-widescreen {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-widescreen {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-widescreen {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-widescreen {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-widescreen {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-widescreen {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-widescreen {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-widescreen {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-widescreen {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-widescreen {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-widescreen {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-widescreen {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-widescreen {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-widescreen {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-widescreen {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-widescreen {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-widescreen {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-widescreen {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-widescreen {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-widescreen {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-widescreen {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-widescreen {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-widescreen {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-widescreen {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-widescreen {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-widescreen {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-widescreen {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-widescreen {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-widescreen {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-widescreen {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-widescreen {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-widescreen {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-widescreen {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-widescreen {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-widescreen {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-widescreen {
+        margin-left: 100%; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .column.is-narrow-fullhd {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-fullhd {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-fullhd {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-fullhd {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-fullhd {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-fullhd {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-fullhd {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-fullhd {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-fullhd {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-fullhd {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-fullhd {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-fullhd {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-fullhd {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-fullhd {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-fullhd {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-fullhd {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-fullhd {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-fullhd {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-fullhd {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-fullhd {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-fullhd {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-fullhd {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-fullhd {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-fullhd {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-fullhd {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-fullhd {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-fullhd {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-fullhd {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-fullhd {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-fullhd {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-fullhd {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-fullhd {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-fullhd {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-fullhd {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-fullhd {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-fullhd {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-fullhd {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-fullhd {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-fullhd {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-fullhd {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-fullhd {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-fullhd {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-fullhd {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-fullhd {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-fullhd {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-fullhd {
+        margin-left: 100%; } }
+  html.theme--documenter-dark .columns {
+    margin-left: -0.75rem;
+    margin-right: -0.75rem;
+    margin-top: -0.75rem; }
+    html.theme--documenter-dark .columns:last-child {
+      margin-bottom: -0.75rem; }
+    html.theme--documenter-dark .columns:not(:last-child) {
+      margin-bottom: calc(1.5rem - 0.75rem); }
+    html.theme--documenter-dark .columns.is-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .columns.is-gapless {
+      margin-left: 0;
+      margin-right: 0;
+      margin-top: 0; }
+      html.theme--documenter-dark .columns.is-gapless > .column {
+        margin: 0;
+        padding: 0 !important; }
+      html.theme--documenter-dark .columns.is-gapless:not(:last-child) {
+        margin-bottom: 1.5rem; }
+      html.theme--documenter-dark .columns.is-gapless:last-child {
+        margin-bottom: 0; }
+    html.theme--documenter-dark .columns.is-mobile {
+      display: flex; }
+    html.theme--documenter-dark .columns.is-multiline {
+      flex-wrap: wrap; }
+    html.theme--documenter-dark .columns.is-vcentered {
+      align-items: center; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns:not(.is-desktop) {
+        display: flex; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-desktop {
+        display: flex; } }
+  html.theme--documenter-dark .columns.is-variable {
+    --columnGap: 0.75rem;
+    margin-left: calc(-1 * var(--columnGap));
+    margin-right: calc(-1 * var(--columnGap)); }
+    html.theme--documenter-dark .columns.is-variable .column {
+      padding-left: var(--columnGap);
+      padding-right: var(--columnGap); }
+    html.theme--documenter-dark .columns.is-variable.is-0 {
+      --columnGap: 0rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-mobile {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-0-tablet {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-tablet-only {
+        --columnGap: 0rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-touch {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-desktop {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-desktop-only {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-widescreen {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-widescreen-only {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-fullhd {
+        --columnGap: 0rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-1 {
+      --columnGap: 0.25rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-mobile {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-1-tablet {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-tablet-only {
+        --columnGap: 0.25rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-touch {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-desktop {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-desktop-only {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-widescreen {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-widescreen-only {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-fullhd {
+        --columnGap: 0.25rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-2 {
+      --columnGap: 0.5rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-mobile {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-2-tablet {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-tablet-only {
+        --columnGap: 0.5rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-touch {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-desktop {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-desktop-only {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-widescreen {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-widescreen-only {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-fullhd {
+        --columnGap: 0.5rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-3 {
+      --columnGap: 0.75rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-mobile {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-3-tablet {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-tablet-only {
+        --columnGap: 0.75rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-touch {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-desktop {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-desktop-only {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-widescreen {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-widescreen-only {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-fullhd {
+        --columnGap: 0.75rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-4 {
+      --columnGap: 1rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-mobile {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-4-tablet {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-tablet-only {
+        --columnGap: 1rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-touch {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-desktop {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-desktop-only {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-widescreen {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-widescreen-only {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-fullhd {
+        --columnGap: 1rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-5 {
+      --columnGap: 1.25rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-mobile {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-5-tablet {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-tablet-only {
+        --columnGap: 1.25rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-touch {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-desktop {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-desktop-only {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-widescreen {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-widescreen-only {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-fullhd {
+        --columnGap: 1.25rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-6 {
+      --columnGap: 1.5rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-mobile {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-6-tablet {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-tablet-only {
+        --columnGap: 1.5rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-touch {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-desktop {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-desktop-only {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-widescreen {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-widescreen-only {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-fullhd {
+        --columnGap: 1.5rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-7 {
+      --columnGap: 1.75rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-mobile {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-7-tablet {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-tablet-only {
+        --columnGap: 1.75rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-touch {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-desktop {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-desktop-only {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-widescreen {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-widescreen-only {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-fullhd {
+        --columnGap: 1.75rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-8 {
+      --columnGap: 2rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-mobile {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-8-tablet {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-tablet-only {
+        --columnGap: 2rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-touch {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-desktop {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-desktop-only {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-widescreen {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-widescreen-only {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-fullhd {
+        --columnGap: 2rem; } }
+  html.theme--documenter-dark .tile {
+    align-items: stretch;
+    display: block;
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 1;
+    min-height: min-content; }
+    html.theme--documenter-dark .tile.is-ancestor {
+      margin-left: -0.75rem;
+      margin-right: -0.75rem;
+      margin-top: -0.75rem; }
+      html.theme--documenter-dark .tile.is-ancestor:last-child {
+        margin-bottom: -0.75rem; }
+      html.theme--documenter-dark .tile.is-ancestor:not(:last-child) {
+        margin-bottom: 0.75rem; }
+    html.theme--documenter-dark .tile.is-child {
+      margin: 0 !important; }
+    html.theme--documenter-dark .tile.is-parent {
+      padding: 0.75rem; }
+    html.theme--documenter-dark .tile.is-vertical {
+      flex-direction: column; }
+      html.theme--documenter-dark .tile.is-vertical > .tile.is-child:not(:last-child) {
+        margin-bottom: 1.5rem !important; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .tile:not(.is-child) {
+        display: flex; }
+      html.theme--documenter-dark .tile.is-1 {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .tile.is-2 {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .tile.is-3 {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .tile.is-4 {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .tile.is-5 {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .tile.is-6 {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .tile.is-7 {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .tile.is-8 {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .tile.is-9 {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .tile.is-10 {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .tile.is-11 {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .tile.is-12 {
+        flex: none;
+        width: 100%; } }
+  html.theme--documenter-dark .hero {
+    align-items: stretch;
+    display: flex;
+    flex-direction: column;
+    justify-content: space-between; }
+    html.theme--documenter-dark .hero .navbar {
+      background: none; }
+    html.theme--documenter-dark .hero .tabs ul {
+      border-bottom: none; }
+    html.theme--documenter-dark .hero.is-white {
+      background-color: white;
+      color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-white a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-white strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-white .title {
+        color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-white .subtitle {
+        color: rgba(10, 10, 10, 0.9); }
+        html.theme--documenter-dark .hero.is-white .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-white .subtitle strong {
+          color: #0a0a0a; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-white .navbar-menu {
+          background-color: white; } }
+      html.theme--documenter-dark .hero.is-white .navbar-item,
+      html.theme--documenter-dark .hero.is-white .navbar-link {
+        color: rgba(10, 10, 10, 0.7); }
+      html.theme--documenter-dark .hero.is-white a.navbar-item:hover, html.theme--documenter-dark .hero.is-white a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-white .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-white .navbar-link.is-active {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-white .tabs a {
+        color: #0a0a0a;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-white .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-white .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-white .tabs.is-boxed a, html.theme--documenter-dark .hero.is-white .tabs.is-toggle a {
+        color: #0a0a0a; }
+        html.theme--documenter-dark .hero.is-white .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-white .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-white .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-white .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-white .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-white .tabs.is-toggle li.is-active a:hover {
+        background-color: #0a0a0a;
+        border-color: #0a0a0a;
+        color: white; }
+      html.theme--documenter-dark .hero.is-white.is-bold {
+        background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-white.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); } }
+    html.theme--documenter-dark .hero.is-black {
+      background-color: #0a0a0a;
+      color: white; }
+      html.theme--documenter-dark .hero.is-black a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-black strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-black .title {
+        color: white; }
+      html.theme--documenter-dark .hero.is-black .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-black .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-black .subtitle strong {
+          color: white; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-black .navbar-menu {
+          background-color: #0a0a0a; } }
+      html.theme--documenter-dark .hero.is-black .navbar-item,
+      html.theme--documenter-dark .hero.is-black .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-black a.navbar-item:hover, html.theme--documenter-dark .hero.is-black a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-black .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-black .navbar-link.is-active {
+        background-color: black;
+        color: white; }
+      html.theme--documenter-dark .hero.is-black .tabs a {
+        color: white;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-black .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-black .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-black .tabs.is-boxed a, html.theme--documenter-dark .hero.is-black .tabs.is-toggle a {
+        color: white; }
+        html.theme--documenter-dark .hero.is-black .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-black .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-black .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-black .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-black .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-black .tabs.is-toggle li.is-active a:hover {
+        background-color: white;
+        border-color: white;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-black.is-bold {
+        background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-black.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } }
+    html.theme--documenter-dark .hero.is-light {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+      html.theme--documenter-dark .hero.is-light a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-light strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-light .title {
+        color: #282f2f; }
+      html.theme--documenter-dark .hero.is-light .subtitle {
+        color: rgba(40, 47, 47, 0.9); }
+        html.theme--documenter-dark .hero.is-light .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-light .subtitle strong {
+          color: #282f2f; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-light .navbar-menu {
+          background-color: #ecf0f1; } }
+      html.theme--documenter-dark .hero.is-light .navbar-item,
+      html.theme--documenter-dark .hero.is-light .navbar-link {
+        color: rgba(40, 47, 47, 0.7); }
+      html.theme--documenter-dark .hero.is-light a.navbar-item:hover, html.theme--documenter-dark .hero.is-light a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-light .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-light .navbar-link.is-active {
+        background-color: #dde4e6;
+        color: #282f2f; }
+      html.theme--documenter-dark .hero.is-light .tabs a {
+        color: #282f2f;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-light .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-light .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-light .tabs.is-boxed a, html.theme--documenter-dark .hero.is-light .tabs.is-toggle a {
+        color: #282f2f; }
+        html.theme--documenter-dark .hero.is-light .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-light .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-light .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-light .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-light .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-light .tabs.is-toggle li.is-active a:hover {
+        background-color: #282f2f;
+        border-color: #282f2f;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-light.is-bold {
+        background-image: linear-gradient(141deg, #cadfe0 0%, #ecf0f1 71%, #fafbfc 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-light.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #cadfe0 0%, #ecf0f1 71%, #fafbfc 100%); } }
+    html.theme--documenter-dark .hero.is-dark, html.theme--documenter-dark .content kbd.hero {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-dark a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), html.theme--documenter-dark .content kbd.hero a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-dark strong,
+      html.theme--documenter-dark .content kbd.hero strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-dark .title, html.theme--documenter-dark .content kbd.hero .title {
+        color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-dark .subtitle, html.theme--documenter-dark .content kbd.hero .subtitle {
+        color: rgba(236, 240, 241, 0.9); }
+        html.theme--documenter-dark .hero.is-dark .subtitle a:not(.button), html.theme--documenter-dark .content kbd.hero .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-dark .subtitle strong,
+        html.theme--documenter-dark .content kbd.hero .subtitle strong {
+          color: #ecf0f1; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-dark .navbar-menu, html.theme--documenter-dark .content kbd.hero .navbar-menu {
+          background-color: #282f2f; } }
+      html.theme--documenter-dark .hero.is-dark .navbar-item, html.theme--documenter-dark .content kbd.hero .navbar-item,
+      html.theme--documenter-dark .hero.is-dark .navbar-link,
+      html.theme--documenter-dark .content kbd.hero .navbar-link {
+        color: rgba(236, 240, 241, 0.7); }
+      html.theme--documenter-dark .hero.is-dark a.navbar-item:hover, html.theme--documenter-dark .content kbd.hero a.navbar-item:hover, html.theme--documenter-dark .hero.is-dark a.navbar-item.is-active, html.theme--documenter-dark .content kbd.hero a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-dark .navbar-link:hover,
+      html.theme--documenter-dark .content kbd.hero .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-dark .navbar-link.is-active,
+      html.theme--documenter-dark .content kbd.hero .navbar-link.is-active {
+        background-color: #1d2122;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-dark .tabs a, html.theme--documenter-dark .content kbd.hero .tabs a {
+        color: #ecf0f1;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-dark .tabs a:hover, html.theme--documenter-dark .content kbd.hero .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-dark .tabs li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-dark .tabs.is-boxed a, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed a, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle a, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle a {
+        color: #ecf0f1; }
+        html.theme--documenter-dark .hero.is-dark .tabs.is-boxed a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-dark .tabs.is-boxed li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-dark .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle li.is-active a:hover {
+        background-color: #ecf0f1;
+        border-color: #ecf0f1;
+        color: #282f2f; }
+      html.theme--documenter-dark .hero.is-dark.is-bold, html.theme--documenter-dark .content kbd.hero.is-bold {
+        background-image: linear-gradient(141deg, #0f1615 0%, #282f2f 71%, #313c40 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-dark.is-bold .navbar-menu, html.theme--documenter-dark .content kbd.hero.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #0f1615 0%, #282f2f 71%, #313c40 100%); } }
+    html.theme--documenter-dark .hero.is-primary, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink {
+      background-color: #375a7f;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-primary a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-primary strong,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-primary .title, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-primary .subtitle, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-primary .subtitle a:not(.button), html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-primary .subtitle strong,
+        html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-primary .navbar-menu, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-menu {
+          background-color: #375a7f; } }
+      html.theme--documenter-dark .hero.is-primary .navbar-item, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-item,
+      html.theme--documenter-dark .hero.is-primary .navbar-link,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-primary a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a.navbar-item:hover, html.theme--documenter-dark .hero.is-primary a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-primary .navbar-link:hover,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-primary .navbar-link.is-active,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link.is-active {
+        background-color: #2f4d6d;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-primary .tabs a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-primary .tabs a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-primary .tabs li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-primary .tabs.is-boxed a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-primary .tabs.is-boxed a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-primary .tabs.is-boxed li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-primary .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #375a7f; }
+      html.theme--documenter-dark .hero.is-primary.is-bold, html.theme--documenter-dark .docstring > section > a.hero.is-bold.docs-sourcelink {
+        background-image: linear-gradient(141deg, #214b62 0%, #375a7f 71%, #3a5796 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-primary.is-bold .navbar-menu, html.theme--documenter-dark .docstring > section > a.hero.is-bold.docs-sourcelink .navbar-menu {
+            background-image: linear-gradient(141deg, #214b62 0%, #375a7f 71%, #3a5796 100%); } }
+    html.theme--documenter-dark .hero.is-link {
+      background-color: #1abc9c;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-link a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-link strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-link .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-link .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-link .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-link .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-link .navbar-menu {
+          background-color: #1abc9c; } }
+      html.theme--documenter-dark .hero.is-link .navbar-item,
+      html.theme--documenter-dark .hero.is-link .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-link a.navbar-item:hover, html.theme--documenter-dark .hero.is-link a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-link .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-link .navbar-link.is-active {
+        background-color: #17a689;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-link .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-link .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-link .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-link .tabs.is-boxed a, html.theme--documenter-dark .hero.is-link .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-link .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-link .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-link .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-link .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-link .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-link .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #1abc9c; }
+      html.theme--documenter-dark .hero.is-link.is-bold {
+        background-image: linear-gradient(141deg, #0c9764 0%, #1abc9c 71%, #17d8d2 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-link.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #0c9764 0%, #1abc9c 71%, #17d8d2 100%); } }
+    html.theme--documenter-dark .hero.is-info {
+      background-color: #024c7d;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-info a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-info strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-info .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-info .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-info .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-info .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-info .navbar-menu {
+          background-color: #024c7d; } }
+      html.theme--documenter-dark .hero.is-info .navbar-item,
+      html.theme--documenter-dark .hero.is-info .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-info a.navbar-item:hover, html.theme--documenter-dark .hero.is-info a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-info .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-info .navbar-link.is-active {
+        background-color: #023d64;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-info .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-info .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-info .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-info .tabs.is-boxed a, html.theme--documenter-dark .hero.is-info .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-info .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-info .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-info .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-info .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-info .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-info .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #024c7d; }
+      html.theme--documenter-dark .hero.is-info.is-bold {
+        background-image: linear-gradient(141deg, #003a4c 0%, #024c7d 71%, #004299 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-info.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #003a4c 0%, #024c7d 71%, #004299 100%); } }
+    html.theme--documenter-dark .hero.is-success {
+      background-color: #008438;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-success a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-success strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-success .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-success .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-success .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-success .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-success .navbar-menu {
+          background-color: #008438; } }
+      html.theme--documenter-dark .hero.is-success .navbar-item,
+      html.theme--documenter-dark .hero.is-success .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-success a.navbar-item:hover, html.theme--documenter-dark .hero.is-success a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-success .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-success .navbar-link.is-active {
+        background-color: #006b2d;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-success .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-success .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-success .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-success .tabs.is-boxed a, html.theme--documenter-dark .hero.is-success .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-success .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-success .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-success .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-success .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-success .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-success .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #008438; }
+      html.theme--documenter-dark .hero.is-success.is-bold {
+        background-image: linear-gradient(141deg, #005115 0%, #008438 71%, #009e5d 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-success.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #005115 0%, #008438 71%, #009e5d 100%); } }
+    html.theme--documenter-dark .hero.is-warning {
+      background-color: #ad8100;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-warning a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-warning strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-warning .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-warning .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-warning .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-warning .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-warning .navbar-menu {
+          background-color: #ad8100; } }
+      html.theme--documenter-dark .hero.is-warning .navbar-item,
+      html.theme--documenter-dark .hero.is-warning .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-warning a.navbar-item:hover, html.theme--documenter-dark .hero.is-warning a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-warning .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-warning .navbar-link.is-active {
+        background-color: #946e00;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-warning .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-warning .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-warning .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-warning .tabs.is-boxed a, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-warning .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-warning .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-warning .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #ad8100; }
+      html.theme--documenter-dark .hero.is-warning.is-bold {
+        background-image: linear-gradient(141deg, #7a4700 0%, #ad8100 71%, #c7b500 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-warning.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #7a4700 0%, #ad8100 71%, #c7b500 100%); } }
+    html.theme--documenter-dark .hero.is-danger {
+      background-color: #9e1b0d;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-danger a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-danger strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-danger .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-danger .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-danger .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-danger .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-danger .navbar-menu {
+          background-color: #9e1b0d; } }
+      html.theme--documenter-dark .hero.is-danger .navbar-item,
+      html.theme--documenter-dark .hero.is-danger .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-danger a.navbar-item:hover, html.theme--documenter-dark .hero.is-danger a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-danger .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-danger .navbar-link.is-active {
+        background-color: #86170b;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-danger .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-danger .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-danger .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-danger .tabs.is-boxed a, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-danger .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-danger .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-danger .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #9e1b0d; }
+      html.theme--documenter-dark .hero.is-danger.is-bold {
+        background-image: linear-gradient(141deg, #75030b 0%, #9e1b0d 71%, #ba380a 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-danger.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #75030b 0%, #9e1b0d 71%, #ba380a 100%); } }
+    html.theme--documenter-dark .hero.is-small .hero-body, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.hero .hero-body {
+      padding-bottom: 1.5rem;
+      padding-top: 1.5rem; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .hero.is-medium .hero-body {
+        padding-bottom: 9rem;
+        padding-top: 9rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .hero.is-large .hero-body {
+        padding-bottom: 18rem;
+        padding-top: 18rem; } }
+    html.theme--documenter-dark .hero.is-halfheight .hero-body, html.theme--documenter-dark .hero.is-fullheight .hero-body, html.theme--documenter-dark .hero.is-fullheight-with-navbar .hero-body {
+      align-items: center;
+      display: flex; }
+      html.theme--documenter-dark .hero.is-halfheight .hero-body > .container, html.theme--documenter-dark .hero.is-fullheight .hero-body > .container, html.theme--documenter-dark .hero.is-fullheight-with-navbar .hero-body > .container {
+        flex-grow: 1;
+        flex-shrink: 1; }
+    html.theme--documenter-dark .hero.is-halfheight {
+      min-height: 50vh; }
+    html.theme--documenter-dark .hero.is-fullheight {
+      min-height: 100vh; }
+  html.theme--documenter-dark .hero-video {
+    overflow: hidden; }
+    html.theme--documenter-dark .hero-video video {
+      left: 50%;
+      min-height: 100%;
+      min-width: 100%;
+      position: absolute;
+      top: 50%;
+      transform: translate3d(-50%, -50%, 0); }
+    html.theme--documenter-dark .hero-video.is-transparent {
+      opacity: 0.3; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .hero-video {
+        display: none; } }
+  html.theme--documenter-dark .hero-buttons {
+    margin-top: 1.5rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .hero-buttons .button {
+        display: flex; }
+        html.theme--documenter-dark .hero-buttons .button:not(:last-child) {
+          margin-bottom: 0.75rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .hero-buttons {
+        display: flex;
+        justify-content: center; }
+        html.theme--documenter-dark .hero-buttons .button:not(:last-child) {
+          margin-right: 1.5rem; } }
+  html.theme--documenter-dark .hero-head,
+  html.theme--documenter-dark .hero-foot {
+    flex-grow: 0;
+    flex-shrink: 0; }
+  html.theme--documenter-dark .hero-body {
+    flex-grow: 1;
+    flex-shrink: 0;
+    padding: 3rem 1.5rem; }
+  html.theme--documenter-dark .section {
+    padding: 3rem 1.5rem; }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .section.is-medium {
+        padding: 9rem 1.5rem; }
+      html.theme--documenter-dark .section.is-large {
+        padding: 18rem 1.5rem; } }
+  html.theme--documenter-dark .footer {
+    background-color: #282f2f;
+    padding: 3rem 1.5rem 6rem; }
+  html.theme--documenter-dark hr {
+    height: 1px; }
+  html.theme--documenter-dark h6 {
+    text-transform: uppercase;
+    letter-spacing: 0.5px; }
+  html.theme--documenter-dark .hero {
+    background-color: #343c3d; }
+  html.theme--documenter-dark a {
+    transition: all 200ms ease; }
+  html.theme--documenter-dark .button {
+    transition: all 200ms ease;
+    border-width: 1px;
+    color: white; }
+    html.theme--documenter-dark .button.is-active, html.theme--documenter-dark .button.is-focused, html.theme--documenter-dark .button:active, html.theme--documenter-dark .button:focus {
+      box-shadow: 0 0 0 2px rgba(140, 155, 157, 0.5); }
+    html.theme--documenter-dark .button.is-white.is-hovered, html.theme--documenter-dark .button.is-white:hover {
+      background-color: white; }
+    html.theme--documenter-dark .button.is-white.is-active, html.theme--documenter-dark .button.is-white.is-focused, html.theme--documenter-dark .button.is-white:active, html.theme--documenter-dark .button.is-white:focus {
+      border-color: white;
+      box-shadow: 0 0 0 2px rgba(255, 255, 255, 0.5); }
+    html.theme--documenter-dark .button.is-black.is-hovered, html.theme--documenter-dark .button.is-black:hover {
+      background-color: #1d1d1d; }
+    html.theme--documenter-dark .button.is-black.is-active, html.theme--documenter-dark .button.is-black.is-focused, html.theme--documenter-dark .button.is-black:active, html.theme--documenter-dark .button.is-black:focus {
+      border-color: #0a0a0a;
+      box-shadow: 0 0 0 2px rgba(10, 10, 10, 0.5); }
+    html.theme--documenter-dark .button.is-light.is-hovered, html.theme--documenter-dark .button.is-light:hover {
+      background-color: white; }
+    html.theme--documenter-dark .button.is-light.is-active, html.theme--documenter-dark .button.is-light.is-focused, html.theme--documenter-dark .button.is-light:active, html.theme--documenter-dark .button.is-light:focus {
+      border-color: #ecf0f1;
+      box-shadow: 0 0 0 2px rgba(236, 240, 241, 0.5); }
+    html.theme--documenter-dark .button.is-dark.is-hovered, html.theme--documenter-dark .content kbd.button.is-hovered, html.theme--documenter-dark .button.is-dark:hover, html.theme--documenter-dark .content kbd.button:hover {
+      background-color: #3a4344; }
+    html.theme--documenter-dark .button.is-dark.is-active, html.theme--documenter-dark .content kbd.button.is-active, html.theme--documenter-dark .button.is-dark.is-focused, html.theme--documenter-dark .content kbd.button.is-focused, html.theme--documenter-dark .button.is-dark:active, html.theme--documenter-dark .content kbd.button:active, html.theme--documenter-dark .button.is-dark:focus, html.theme--documenter-dark .content kbd.button:focus {
+      border-color: #282f2f;
+      box-shadow: 0 0 0 2px rgba(40, 47, 47, 0.5); }
+    html.theme--documenter-dark .button.is-primary.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary:hover, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:hover {
+      background-color: #436d9a; }
+    html.theme--documenter-dark .button.is-primary.is-active, html.theme--documenter-dark .docstring > section > a.button.is-active.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink, html.theme--documenter-dark .button.is-primary:active, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:active, html.theme--documenter-dark .button.is-primary:focus, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus {
+      border-color: #375a7f;
+      box-shadow: 0 0 0 2px rgba(55, 90, 127, 0.5); }
+    html.theme--documenter-dark .button.is-link.is-hovered, html.theme--documenter-dark .button.is-link:hover {
+      background-color: #1fdeb8; }
+    html.theme--documenter-dark .button.is-link.is-active, html.theme--documenter-dark .button.is-link.is-focused, html.theme--documenter-dark .button.is-link:active, html.theme--documenter-dark .button.is-link:focus {
+      border-color: #1abc9c;
+      box-shadow: 0 0 0 2px rgba(26, 188, 156, 0.5); }
+    html.theme--documenter-dark .button.is-info.is-hovered, html.theme--documenter-dark .button.is-info:hover {
+      background-color: #0363a3; }
+    html.theme--documenter-dark .button.is-info.is-active, html.theme--documenter-dark .button.is-info.is-focused, html.theme--documenter-dark .button.is-info:active, html.theme--documenter-dark .button.is-info:focus {
+      border-color: #024c7d;
+      box-shadow: 0 0 0 2px rgba(2, 76, 125, 0.5); }
+    html.theme--documenter-dark .button.is-success.is-hovered, html.theme--documenter-dark .button.is-success:hover {
+      background-color: #00aa48; }
+    html.theme--documenter-dark .button.is-success.is-active, html.theme--documenter-dark .button.is-success.is-focused, html.theme--documenter-dark .button.is-success:active, html.theme--documenter-dark .button.is-success:focus {
+      border-color: #008438;
+      box-shadow: 0 0 0 2px rgba(0, 132, 56, 0.5); }
+    html.theme--documenter-dark .button.is-warning.is-hovered, html.theme--documenter-dark .button.is-warning:hover {
+      background-color: #d39e00; }
+    html.theme--documenter-dark .button.is-warning.is-active, html.theme--documenter-dark .button.is-warning.is-focused, html.theme--documenter-dark .button.is-warning:active, html.theme--documenter-dark .button.is-warning:focus {
+      border-color: #ad8100;
+      box-shadow: 0 0 0 2px rgba(173, 129, 0, 0.5); }
+    html.theme--documenter-dark .button.is-danger.is-hovered, html.theme--documenter-dark .button.is-danger:hover {
+      background-color: #c12110; }
+    html.theme--documenter-dark .button.is-danger.is-active, html.theme--documenter-dark .button.is-danger.is-focused, html.theme--documenter-dark .button.is-danger:active, html.theme--documenter-dark .button.is-danger:focus {
+      border-color: #9e1b0d;
+      box-shadow: 0 0 0 2px rgba(158, 27, 13, 0.5); }
+  html.theme--documenter-dark .label {
+    color: #dbdee0; }
+  html.theme--documenter-dark .button,
+  html.theme--documenter-dark .control.has-icons-left .icon,
+  html.theme--documenter-dark .control.has-icons-right .icon,
+  html.theme--documenter-dark .input,
+  html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input,
+  html.theme--documenter-dark .pagination-ellipsis,
+  html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .select,
+  html.theme--documenter-dark .select select,
+  html.theme--documenter-dark .textarea {
+    height: 2.5em; }
+  html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input,
+  html.theme--documenter-dark .textarea {
+    transition: all 200ms ease;
+    box-shadow: none;
+    border-width: 1px;
+    padding-left: 1em;
+    padding-right: 1em; }
+  html.theme--documenter-dark .select:after,
+  html.theme--documenter-dark .select select {
+    border-width: 1px; }
+  html.theme--documenter-dark .control.has-addons .button,
+  html.theme--documenter-dark .control.has-addons .input,
+  html.theme--documenter-dark .control.has-addons #documenter .docs-sidebar form.docs-search > input,
+  html.theme--documenter-dark #documenter .docs-sidebar .control.has-addons form.docs-search > input,
+  html.theme--documenter-dark .control.has-addons .select {
+    margin-right: -1px; }
+  html.theme--documenter-dark .notification {
+    background-color: #343c3d; }
+  html.theme--documenter-dark .card {
+    box-shadow: none;
+    border: 1px solid #343c3d;
+    background-color: #282f2f;
+    border-radius: 0.4em; }
+    html.theme--documenter-dark .card .card-image img {
+      border-radius: 0.4em 0.4em 0 0; }
+    html.theme--documenter-dark .card .card-header {
+      box-shadow: none;
+      background-color: rgba(18, 18, 18, 0.2);
+      border-radius: 0.4em 0.4em 0 0; }
+    html.theme--documenter-dark .card .card-footer {
+      background-color: rgba(18, 18, 18, 0.2); }
+    html.theme--documenter-dark .card .card-footer,
+    html.theme--documenter-dark .card .card-footer-item {
+      border-width: 1px;
+      border-color: #343c3d; }
+  html.theme--documenter-dark .notification.is-white a:not(.button) {
+    color: #0a0a0a;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-black a:not(.button) {
+    color: white;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-light a:not(.button) {
+    color: #282f2f;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-dark a:not(.button), html.theme--documenter-dark .content kbd.notification a:not(.button) {
+    color: #ecf0f1;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-primary a:not(.button), html.theme--documenter-dark .docstring > section > a.notification.docs-sourcelink a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-link a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-info a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-success a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-warning a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-danger a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .tag, html.theme--documenter-dark .content kbd, html.theme--documenter-dark .docstring > section > a.docs-sourcelink {
+    border-radius: 0.4em; }
+  html.theme--documenter-dark .menu-list a {
+    transition: all 300ms ease; }
+  html.theme--documenter-dark .modal-card-body {
+    background-color: #282f2f; }
+  html.theme--documenter-dark .modal-card-foot,
+  html.theme--documenter-dark .modal-card-head {
+    border-color: #343c3d; }
+  html.theme--documenter-dark .message-header {
+    font-weight: 700;
+    background-color: #343c3d;
+    color: white; }
+  html.theme--documenter-dark .message-body {
+    border-width: 1px;
+    border-color: #343c3d; }
+  html.theme--documenter-dark .navbar {
+    border-radius: 0.4em; }
+    html.theme--documenter-dark .navbar.is-transparent {
+      background: none; }
+    html.theme--documenter-dark .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active {
+      background-color: #1abc9c; }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .navbar .navbar-menu {
+        background-color: #375a7f;
+        border-radius: 0 0 0.4em 0.4em; } }
+  html.theme--documenter-dark .hero .navbar,
+  html.theme--documenter-dark body > .navbar {
+    border-radius: 0; }
+  html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-previous {
+    border-width: 1px; }
+  html.theme--documenter-dark .panel-block,
+  html.theme--documenter-dark .panel-heading,
+  html.theme--documenter-dark .panel-tabs {
+    border-width: 1px; }
+    html.theme--documenter-dark .panel-block:first-child,
+    html.theme--documenter-dark .panel-heading:first-child,
+    html.theme--documenter-dark .panel-tabs:first-child {
+      border-top-width: 1px; }
+  html.theme--documenter-dark .panel-heading {
+    font-weight: 700; }
+  html.theme--documenter-dark .panel-tabs a {
+    border-width: 1px;
+    margin-bottom: -1px; }
+    html.theme--documenter-dark .panel-tabs a.is-active {
+      border-bottom-color: #17a689; }
+  html.theme--documenter-dark .panel-block:hover {
+    color: #1dd2af; }
+    html.theme--documenter-dark .panel-block:hover .panel-icon {
+      color: #1dd2af; }
+  html.theme--documenter-dark .panel-block.is-active .panel-icon {
+    color: #17a689; }
+  html.theme--documenter-dark .tabs a {
+    border-bottom-width: 1px;
+    margin-bottom: -1px; }
+  html.theme--documenter-dark .tabs ul {
+    border-bottom-width: 1px; }
+  html.theme--documenter-dark .tabs.is-boxed a {
+    border-width: 1px; }
+  html.theme--documenter-dark .tabs.is-boxed li.is-active a {
+    background-color: #1f2424; }
+  html.theme--documenter-dark .tabs.is-toggle li a {
+    border-width: 1px;
+    margin-bottom: 0; }
+  html.theme--documenter-dark .tabs.is-toggle li + li {
+    margin-left: -1px; }
+  html.theme--documenter-dark .hero.is-white .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-black .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-light .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-dark .navbar .navbar-dropdown .navbar-item:hover, html.theme--documenter-dark .content kbd.hero .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-primary .navbar .navbar-dropdown .navbar-item:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-link .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-info .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-success .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-warning .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-danger .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark h1 .docs-heading-anchor, html.theme--documenter-dark h1 .docs-heading-anchor:hover, html.theme--documenter-dark h1 .docs-heading-anchor:visited, html.theme--documenter-dark h2 .docs-heading-anchor, html.theme--documenter-dark h2 .docs-heading-anchor:hover, html.theme--documenter-dark h2 .docs-heading-anchor:visited, html.theme--documenter-dark h3 .docs-heading-anchor, html.theme--documenter-dark h3 .docs-heading-anchor:hover, html.theme--documenter-dark h3 .docs-heading-anchor:visited, html.theme--documenter-dark h4 .docs-heading-anchor, html.theme--documenter-dark h4 .docs-heading-anchor:hover, html.theme--documenter-dark h4 .docs-heading-anchor:visited, html.theme--documenter-dark h5 .docs-heading-anchor, html.theme--documenter-dark h5 .docs-heading-anchor:hover, html.theme--documenter-dark h5 .docs-heading-anchor:visited, html.theme--documenter-dark h6 .docs-heading-anchor, html.theme--documenter-dark h6 .docs-heading-anchor:hover, html.theme--documenter-dark h6 .docs-heading-anchor:visited {
+    color: #f2f2f2; }
+  html.theme--documenter-dark h1 .docs-heading-anchor-permalink, html.theme--documenter-dark h2 .docs-heading-anchor-permalink, html.theme--documenter-dark h3 .docs-heading-anchor-permalink, html.theme--documenter-dark h4 .docs-heading-anchor-permalink, html.theme--documenter-dark h5 .docs-heading-anchor-permalink, html.theme--documenter-dark h6 .docs-heading-anchor-permalink {
+    visibility: hidden;
+    vertical-align: middle;
+    margin-left: 0.5em;
+    font-size: 0.7rem; }
+    html.theme--documenter-dark h1 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h2 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h3 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h4 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h5 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h6 .docs-heading-anchor-permalink::before {
+      font-family: "Font Awesome 5 Free";
+      font-weight: 900;
+      content: "\f0c1"; }
+  html.theme--documenter-dark h1:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h2:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h3:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h4:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h5:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h6:hover .docs-heading-anchor-permalink {
+    visibility: visible; }
+  html.theme--documenter-dark .docs-light-only {
+    display: none !important; }
+  html.theme--documenter-dark pre {
+    position: relative;
+    overflow: hidden; }
+    html.theme--documenter-dark pre code, html.theme--documenter-dark pre code.hljs {
+      padding: 0 0.75rem !important;
+      overflow: auto;
+      display: block; }
+    html.theme--documenter-dark pre code:first-of-type, html.theme--documenter-dark pre code.hljs:first-of-type {
+      padding-top: 0.5rem !important; }
+    html.theme--documenter-dark pre code:last-of-type, html.theme--documenter-dark pre code.hljs:last-of-type {
+      padding-bottom: 0.5rem !important; }
+    html.theme--documenter-dark pre .copy-button {
+      opacity: 0.2;
+      transition: opacity 0.2s;
+      position: absolute;
+      right: 0em;
+      top: 0em;
+      padding: 0.5em;
+      width: 2.5em;
+      height: 2.5em;
+      background: transparent;
+      border: none;
+      font-family: "Font Awesome 5 Free";
+      color: #fff;
+      cursor: pointer;
+      text-align: center; }
+      html.theme--documenter-dark pre .copy-button:focus, html.theme--documenter-dark pre .copy-button:hover {
+        opacity: 1;
+        background: rgba(255, 255, 255, 0.1);
+        color: #1abc9c; }
+      html.theme--documenter-dark pre .copy-button.success {
+        color: #259a12;
+        opacity: 1; }
+      html.theme--documenter-dark pre .copy-button.error {
+        color: #cb3c33;
+        opacity: 1; }
+    html.theme--documenter-dark pre:hover .copy-button {
+      opacity: 1; }
+  html.theme--documenter-dark .admonition {
+    background-color: #282f2f;
+    border-style: solid;
+    border-width: 1px;
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    font-size: 15px; }
+    html.theme--documenter-dark .admonition strong {
+      color: currentColor; }
+    html.theme--documenter-dark .admonition.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.admonition {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .admonition.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .admonition.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .admonition.is-default {
+      background-color: #282f2f;
+      border-color: #5e6d6f; }
+      html.theme--documenter-dark .admonition.is-default > .admonition-header {
+        background-color: #5e6d6f; }
+    html.theme--documenter-dark .admonition.is-info {
+      background-color: #282f2f;
+      border-color: #024c7d; }
+      html.theme--documenter-dark .admonition.is-info > .admonition-header {
+        background-color: #024c7d; }
+    html.theme--documenter-dark .admonition.is-success {
+      background-color: #282f2f;
+      border-color: #008438; }
+      html.theme--documenter-dark .admonition.is-success > .admonition-header {
+        background-color: #008438; }
+    html.theme--documenter-dark .admonition.is-warning {
+      background-color: #282f2f;
+      border-color: #ad8100; }
+      html.theme--documenter-dark .admonition.is-warning > .admonition-header {
+        background-color: #ad8100; }
+    html.theme--documenter-dark .admonition.is-danger {
+      background-color: #282f2f;
+      border-color: #9e1b0d; }
+      html.theme--documenter-dark .admonition.is-danger > .admonition-header {
+        background-color: #9e1b0d; }
+    html.theme--documenter-dark .admonition.is-compat {
+      background-color: #282f2f;
+      border-color: #137886; }
+      html.theme--documenter-dark .admonition.is-compat > .admonition-header {
+        background-color: #137886; }
+  html.theme--documenter-dark .admonition-header {
+    background-color: #5e6d6f;
+    align-items: center;
+    font-weight: 700;
+    justify-content: space-between;
+    line-height: 1.25;
+    padding: 0.5rem 0.75rem;
+    position: relative; }
+    html.theme--documenter-dark .admonition-header:before {
+      font-family: "Font Awesome 5 Free";
+      font-weight: 900;
+      margin-right: 0.75rem;
+      content: "\f06a"; }
+  html.theme--documenter-dark .admonition-body {
+    color: #fff;
+    padding: 0.5rem 0.75rem; }
+    html.theme--documenter-dark .admonition-body pre {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .admonition-body code {
+      background-color: rgba(255, 255, 255, 0.05); }
+  html.theme--documenter-dark .docstring {
+    margin-bottom: 1em;
+    background-color: transparent;
+    border: 1px solid #5e6d6f;
+    box-shadow: none;
+    max-width: 100%; }
+    html.theme--documenter-dark .docstring > header {
+      display: flex;
+      flex-grow: 1;
+      align-items: stretch;
+      padding: 0.5rem 0.75rem;
+      background-color: #282f2f;
+      box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+      box-shadow: none;
+      border-bottom: 1px solid #5e6d6f; }
+      html.theme--documenter-dark .docstring > header code {
+        background-color: transparent; }
+      html.theme--documenter-dark .docstring > header .docstring-binding {
+        margin-right: 0.3em; }
+      html.theme--documenter-dark .docstring > header .docstring-category {
+        margin-left: 0.3em; }
+    html.theme--documenter-dark .docstring > section {
+      position: relative;
+      padding: 0.75rem 0.75rem;
+      border-bottom: 1px solid #5e6d6f; }
+      html.theme--documenter-dark .docstring > section:last-child {
+        border-bottom: none; }
+      html.theme--documenter-dark .docstring > section > a.docs-sourcelink {
+        transition: opacity 0.3s;
+        opacity: 0;
+        position: absolute;
+        right: 0.375rem;
+        bottom: 0.375rem; }
+        html.theme--documenter-dark .docstring > section > a.docs-sourcelink:focus {
+          opacity: 1 !important; }
+    html.theme--documenter-dark .docstring:hover > section > a.docs-sourcelink {
+      opacity: 0.2; }
+    html.theme--documenter-dark .docstring:focus-within > section > a.docs-sourcelink {
+      opacity: 0.2; }
+    html.theme--documenter-dark .docstring > section:hover a.docs-sourcelink {
+      opacity: 1; }
+  html.theme--documenter-dark .documenter-example-output {
+    background-color: #1f2424; }
+  html.theme--documenter-dark .outdated-warning-overlay {
+    position: fixed;
+    top: 0;
+    left: 0;
+    right: 0;
+    box-shadow: 0 0 10px rgba(0, 0, 0, 0.3);
+    z-index: 999;
+    background-color: #282f2f;
+    border-bottom: 3px solid #9e1b0d;
+    padding: 10px 35px;
+    text-align: center;
+    font-size: 15px; }
+    html.theme--documenter-dark .outdated-warning-overlay .outdated-warning-closer {
+      position: absolute;
+      top: calc(50% - 10px);
+      right: 18px;
+      cursor: pointer;
+      width: 12px; }
+    html.theme--documenter-dark .outdated-warning-overlay a {
+      color: #1abc9c; }
+      html.theme--documenter-dark .outdated-warning-overlay a:hover {
+        color: #1dd2af; }
+  html.theme--documenter-dark .content pre {
+    border: 1px solid #5e6d6f; }
+  html.theme--documenter-dark .content code {
+    font-weight: inherit; }
+  html.theme--documenter-dark .content a code {
+    color: #1abc9c; }
+  html.theme--documenter-dark .content h1 code, html.theme--documenter-dark .content h2 code, html.theme--documenter-dark .content h3 code, html.theme--documenter-dark .content h4 code, html.theme--documenter-dark .content h5 code, html.theme--documenter-dark .content h6 code {
+    color: #f2f2f2; }
+  html.theme--documenter-dark .content table {
+    display: block;
+    width: initial;
+    max-width: 100%;
+    overflow-x: auto; }
+  html.theme--documenter-dark .content blockquote > ul:first-child, html.theme--documenter-dark .content blockquote > ol:first-child, html.theme--documenter-dark .content .admonition-body > ul:first-child, html.theme--documenter-dark .content .admonition-body > ol:first-child {
+    margin-top: 0; }
+  html.theme--documenter-dark pre, html.theme--documenter-dark code {
+    font-variant-ligatures: no-contextual; }
+  html.theme--documenter-dark .breadcrumb a.is-disabled {
+    cursor: default;
+    pointer-events: none; }
+    html.theme--documenter-dark .breadcrumb a.is-disabled, html.theme--documenter-dark .breadcrumb a.is-disabled:hover {
+      color: #f2f2f2; }
+  html.theme--documenter-dark .hljs {
+    background: initial !important; }
+  html.theme--documenter-dark .katex .katex-mathml {
+    top: 0;
+    right: 0; }
+  html.theme--documenter-dark .katex-display, html.theme--documenter-dark mjx-container, html.theme--documenter-dark .MathJax_Display {
+    margin: 0.5em 0 !important; }
+  html.theme--documenter-dark html {
+    -moz-osx-font-smoothing: auto;
+    -webkit-font-smoothing: auto; }
+  html.theme--documenter-dark li.no-marker {
+    list-style: none; }
+  html.theme--documenter-dark #documenter .docs-main > article {
+    overflow-wrap: break-word; }
+    html.theme--documenter-dark #documenter .docs-main > article .math-container {
+      overflow-x: auto;
+      overflow-y: hidden; }
+  @media screen and (min-width: 1056px) {
+    html.theme--documenter-dark #documenter .docs-main {
+      max-width: 52rem;
+      margin-left: 20rem;
+      padding-right: 1rem; } }
+  @media screen and (max-width: 1055px) {
+    html.theme--documenter-dark #documenter .docs-main {
+      width: 100%; }
+      html.theme--documenter-dark #documenter .docs-main > article {
+        max-width: 52rem;
+        margin-left: auto;
+        margin-right: auto;
+        margin-bottom: 1rem;
+        padding: 0 1rem; }
+      html.theme--documenter-dark #documenter .docs-main > header, html.theme--documenter-dark #documenter .docs-main > nav {
+        max-width: 100%;
+        width: 100%;
+        margin: 0; } }
+  html.theme--documenter-dark #documenter .docs-main header.docs-navbar {
+    background-color: #1f2424;
+    border-bottom: 1px solid #5e6d6f;
+    z-index: 2;
+    min-height: 4rem;
+    margin-bottom: 1rem;
+    display: flex; }
+    html.theme--documenter-dark #documenter .docs-main header.docs-navbar .breadcrumb {
+      flex-grow: 1; }
+    html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right {
+      display: flex;
+      white-space: nowrap; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-icon, html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-label, html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+        display: inline-block; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-label {
+        padding: 0;
+        margin-left: 0.3em; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-settings-button {
+        margin: auto 0 auto 1rem; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+        font-size: 1.5rem;
+        margin: auto 0 auto 1rem; }
+    html.theme--documenter-dark #documenter .docs-main header.docs-navbar > * {
+      margin: auto 0; }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar {
+        position: sticky;
+        top: 0;
+        padding: 0 1rem;
+        /* For Headroom.js */
+        transition-property: top, box-shadow;
+        -webkit-transition-property: top, box-shadow;
+        /* Safari */
+        transition-duration: 0.3s;
+        -webkit-transition-duration: 0.3s;
+        /* Safari */ }
+        html.theme--documenter-dark #documenter .docs-main header.docs-navbar.headroom--not-top {
+          box-shadow: 0.2rem 0rem 0.4rem #171717;
+          transition-duration: 0.7s;
+          -webkit-transition-duration: 0.7s;
+          /* Safari */ }
+        html.theme--documenter-dark #documenter .docs-main header.docs-navbar.headroom--unpinned.headroom--not-top.headroom--not-bottom {
+          top: -4.5rem;
+          transition-duration: 0.7s;
+          -webkit-transition-duration: 0.7s;
+          /* Safari */ } }
+  html.theme--documenter-dark #documenter .docs-main section.footnotes {
+    border-top: 1px solid #5e6d6f; }
+    html.theme--documenter-dark #documenter .docs-main section.footnotes li .tag:first-child, html.theme--documenter-dark #documenter .docs-main section.footnotes li .docstring > section > a.docs-sourcelink:first-child, html.theme--documenter-dark #documenter .docs-main section.footnotes li .content kbd:first-child, html.theme--documenter-dark .content #documenter .docs-main section.footnotes li kbd:first-child {
+      margin-right: 1em;
+      margin-bottom: 0.4em; }
+  html.theme--documenter-dark #documenter .docs-main .docs-footer {
+    display: flex;
+    flex-wrap: wrap;
+    margin-left: 0;
+    margin-right: 0;
+    border-top: 1px solid #5e6d6f;
+    padding-top: 1rem;
+    padding-bottom: 1rem; }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark #documenter .docs-main .docs-footer {
+        padding-left: 1rem;
+        padding-right: 1rem; } }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-nextpage, html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-prevpage {
+      flex-grow: 1; }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-nextpage {
+      text-align: right; }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .flexbox-break {
+      flex-basis: 100%;
+      height: 0; }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .footer-message {
+      font-size: 0.8em;
+      margin: 0.5em auto 0 auto;
+      text-align: center; }
+  html.theme--documenter-dark #documenter .docs-sidebar {
+    display: flex;
+    flex-direction: column;
+    color: #fff;
+    background-color: #282f2f;
+    border-right: 1px solid #5e6d6f;
+    padding: 0;
+    flex: 0 0 18rem;
+    z-index: 5;
+    font-size: 15px;
+    position: fixed;
+    left: -18rem;
+    width: 18rem;
+    height: 100%;
+    transition: left 0.3s;
+    /* Setting up a nicer theme style for the scrollbar */ }
+    html.theme--documenter-dark #documenter .docs-sidebar.visible {
+      left: 0;
+      box-shadow: 0.4rem 0rem 0.8rem #171717; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark #documenter .docs-sidebar.visible {
+          box-shadow: none; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark #documenter .docs-sidebar {
+        left: 0;
+        top: 0; } }
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo {
+      margin-top: 1rem;
+      padding: 0 1rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img {
+        max-height: 6rem;
+        margin: auto; }
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name {
+      flex-shrink: 0;
+      font-size: 1.5rem;
+      font-weight: 700;
+      text-align: center;
+      white-space: nowrap;
+      overflow: hidden;
+      padding: 0.5rem 0; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name .docs-autofit {
+        max-width: 16.2rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name a, html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name a:hover {
+        color: #fff; }
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-version-selector {
+      border-top: 1px solid #5e6d6f;
+      display: none;
+      padding: 0.5rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-version-selector.visible {
+        display: flex; }
+    html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu {
+      flex-grow: 1;
+      user-select: none;
+      border-top: 1px solid #5e6d6f;
+      padding-bottom: 1.5rem;
+      /* Managing collapsible submenus */ }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li > .tocitem {
+        font-weight: bold; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li li {
+        font-size: 14.25px;
+        margin-left: 1em;
+        border-left: 1px solid #5e6d6f; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input.collapse-toggle {
+        display: none; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.collapsed {
+        display: none; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input:checked ~ ul.collapsed {
+        display: block; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem {
+        display: flex; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-label {
+          flex-grow: 2; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron {
+          display: inline-block;
+          font-style: normal;
+          font-variant: normal;
+          text-rendering: auto;
+          line-height: 1;
+          font-size: 11.25px;
+          margin-left: 1rem;
+          margin-top: auto;
+          margin-bottom: auto; }
+          html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron::before {
+            font-family: "Font Awesome 5 Free";
+            font-weight: 900;
+            content: "\f054"; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input:checked ~ label.tocitem .docs-chevron::before {
+        content: "\f078"; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem {
+        display: block;
+        padding: 0.5rem 0.5rem; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem:hover {
+          color: #fff;
+          background: #282f2f; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu a.tocitem:hover, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem:hover {
+        color: #fff;
+        background-color: #32393a; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active {
+        border-top: 1px solid #5e6d6f;
+        border-bottom: 1px solid #5e6d6f;
+        background-color: #1f2424; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem:hover {
+          background-color: #1f2424;
+          color: #fff; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active ul.internal .tocitem:hover {
+          background-color: #32393a;
+          color: #fff; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li.is-active:first-child {
+        border-top: none; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal {
+        margin: 0 0.5rem 0.5rem;
+        border-top: 1px solid #5e6d6f; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal li {
+          font-size: 12.75px;
+          border-left: none;
+          margin-left: 0;
+          margin-top: 0.5rem; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem {
+          width: 100%;
+          padding: 0; }
+          html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem::before {
+            content: "⚬";
+            margin-right: 0.4em; }
+    html.theme--documenter-dark #documenter .docs-sidebar form.docs-search {
+      margin: auto;
+      margin-top: 0.5rem;
+      margin-bottom: 0.5rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+        width: 14.4rem; }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu {
+        overflow-y: auto;
+        -webkit-overflow-scroll: touch; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar {
+          width: .3rem;
+          background: none; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb {
+          border-radius: 5px 0px 0px 5px;
+          background: #3b4445; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb:hover {
+          background: #4e5a5c; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark #documenter .docs-sidebar {
+        overflow-y: auto;
+        -webkit-overflow-scroll: touch; }
+        html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar {
+          width: .3rem;
+          background: none; }
+        html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar-thumb {
+          border-radius: 5px 0px 0px 5px;
+          background: #3b4445; }
+        html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar-thumb:hover {
+          background: #4e5a5c; } }
+  html.theme--documenter-dark #documenter .docs-main #documenter-search-info {
+    margin-bottom: 1rem; }
+  html.theme--documenter-dark #documenter .docs-main #documenter-search-results {
+    list-style-type: circle;
+    list-style-position: outside; }
+    html.theme--documenter-dark #documenter .docs-main #documenter-search-results li {
+      margin-left: 2rem; }
+    html.theme--documenter-dark #documenter .docs-main #documenter-search-results .docs-highlight {
+      background-color: yellow; }
+  html.theme--documenter-dark {
+    background-color: #1f2424;
+    font-size: 16px;
+    min-width: 300px;
+    overflow-x: auto;
+    overflow-y: scroll;
+    text-rendering: optimizeLegibility;
+    text-size-adjust: 100%; }
+  html.theme--documenter-dark .ansi span.sgr1 {
+    font-weight: bolder; }
+  html.theme--documenter-dark .ansi span.sgr2 {
+    font-weight: lighter; }
+  html.theme--documenter-dark .ansi span.sgr3 {
+    font-style: italic; }
+  html.theme--documenter-dark .ansi span.sgr4 {
+    text-decoration: underline; }
+  html.theme--documenter-dark .ansi span.sgr7 {
+    color: #1f2424;
+    background-color: #fff; }
+  html.theme--documenter-dark .ansi span.sgr8 {
+    color: transparent; }
+    html.theme--documenter-dark .ansi span.sgr8 span {
+      color: transparent; }
+  html.theme--documenter-dark .ansi span.sgr9 {
+    text-decoration: line-through; }
+  html.theme--documenter-dark .ansi span.sgr30 {
+    color: #242424; }
+  html.theme--documenter-dark .ansi span.sgr31 {
+    color: #f6705f; }
+  html.theme--documenter-dark .ansi span.sgr32 {
+    color: #4fb43a; }
+  html.theme--documenter-dark .ansi span.sgr33 {
+    color: #f4c72f; }
+  html.theme--documenter-dark .ansi span.sgr34 {
+    color: #7587f0; }
+  html.theme--documenter-dark .ansi span.sgr35 {
+    color: #bc89d3; }
+  html.theme--documenter-dark .ansi span.sgr36 {
+    color: #49b6ca; }
+  html.theme--documenter-dark .ansi span.sgr37 {
+    color: #b3bdbe; }
+  html.theme--documenter-dark .ansi span.sgr40 {
+    background-color: #242424; }
+  html.theme--documenter-dark .ansi span.sgr41 {
+    background-color: #f6705f; }
+  html.theme--documenter-dark .ansi span.sgr42 {
+    background-color: #4fb43a; }
+  html.theme--documenter-dark .ansi span.sgr43 {
+    background-color: #f4c72f; }
+  html.theme--documenter-dark .ansi span.sgr44 {
+    background-color: #7587f0; }
+  html.theme--documenter-dark .ansi span.sgr45 {
+    background-color: #bc89d3; }
+  html.theme--documenter-dark .ansi span.sgr46 {
+    background-color: #49b6ca; }
+  html.theme--documenter-dark .ansi span.sgr47 {
+    background-color: #b3bdbe; }
+  html.theme--documenter-dark .ansi span.sgr90 {
+    color: #92a0a2; }
+  html.theme--documenter-dark .ansi span.sgr91 {
+    color: #ff8674; }
+  html.theme--documenter-dark .ansi span.sgr92 {
+    color: #79d462; }
+  html.theme--documenter-dark .ansi span.sgr93 {
+    color: #ffe76b; }
+  html.theme--documenter-dark .ansi span.sgr94 {
+    color: #8a98ff; }
+  html.theme--documenter-dark .ansi span.sgr95 {
+    color: #d2a4e6; }
+  html.theme--documenter-dark .ansi span.sgr96 {
+    color: #6bc8db; }
+  html.theme--documenter-dark .ansi span.sgr97 {
+    color: #ecf0f1; }
+  html.theme--documenter-dark .ansi span.sgr100 {
+    background-color: #92a0a2; }
+  html.theme--documenter-dark .ansi span.sgr101 {
+    background-color: #ff8674; }
+  html.theme--documenter-dark .ansi span.sgr102 {
+    background-color: #79d462; }
+  html.theme--documenter-dark .ansi span.sgr103 {
+    background-color: #ffe76b; }
+  html.theme--documenter-dark .ansi span.sgr104 {
+    background-color: #8a98ff; }
+  html.theme--documenter-dark .ansi span.sgr105 {
+    background-color: #d2a4e6; }
+  html.theme--documenter-dark .ansi span.sgr106 {
+    background-color: #6bc8db; }
+  html.theme--documenter-dark .ansi span.sgr107 {
+    background-color: #ecf0f1; }
+  html.theme--documenter-dark code.language-julia-repl > span.hljs-meta {
+    color: #4fb43a;
+    font-weight: bolder; }
+  html.theme--documenter-dark .hljs {
+    background: #2b2b2b;
+    color: #f8f8f2; }
+  html.theme--documenter-dark .hljs-comment,
+  html.theme--documenter-dark .hljs-quote {
+    color: #d4d0ab; }
+  html.theme--documenter-dark .hljs-variable,
+  html.theme--documenter-dark .hljs-template-variable,
+  html.theme--documenter-dark .hljs-tag,
+  html.theme--documenter-dark .hljs-name,
+  html.theme--documenter-dark .hljs-selector-id,
+  html.theme--documenter-dark .hljs-selector-class,
+  html.theme--documenter-dark .hljs-regexp,
+  html.theme--documenter-dark .hljs-deletion {
+    color: #ffa07a; }
+  html.theme--documenter-dark .hljs-number,
+  html.theme--documenter-dark .hljs-built_in,
+  html.theme--documenter-dark .hljs-literal,
+  html.theme--documenter-dark .hljs-type,
+  html.theme--documenter-dark .hljs-params,
+  html.theme--documenter-dark .hljs-meta,
+  html.theme--documenter-dark .hljs-link {
+    color: #f5ab35; }
+  html.theme--documenter-dark .hljs-attribute {
+    color: #ffd700; }
+  html.theme--documenter-dark .hljs-string,
+  html.theme--documenter-dark .hljs-symbol,
+  html.theme--documenter-dark .hljs-bullet,
+  html.theme--documenter-dark .hljs-addition {
+    color: #abe338; }
+  html.theme--documenter-dark .hljs-title,
+  html.theme--documenter-dark .hljs-section {
+    color: #00e0e0; }
+  html.theme--documenter-dark .hljs-keyword,
+  html.theme--documenter-dark .hljs-selector-tag {
+    color: #dcc6e0; }
+  html.theme--documenter-dark .hljs-emphasis {
+    font-style: italic; }
+  html.theme--documenter-dark .hljs-strong {
+    font-weight: bold; }
+  @media screen and (-ms-high-contrast: active) {
+    html.theme--documenter-dark .hljs-addition,
+    html.theme--documenter-dark .hljs-attribute,
+    html.theme--documenter-dark .hljs-built_in,
+    html.theme--documenter-dark .hljs-bullet,
+    html.theme--documenter-dark .hljs-comment,
+    html.theme--documenter-dark .hljs-link,
+    html.theme--documenter-dark .hljs-literal,
+    html.theme--documenter-dark .hljs-meta,
+    html.theme--documenter-dark .hljs-number,
+    html.theme--documenter-dark .hljs-params,
+    html.theme--documenter-dark .hljs-string,
+    html.theme--documenter-dark .hljs-symbol,
+    html.theme--documenter-dark .hljs-type,
+    html.theme--documenter-dark .hljs-quote {
+      color: highlight; }
+    html.theme--documenter-dark .hljs-keyword,
+    html.theme--documenter-dark .hljs-selector-tag {
+      font-weight: bold; } }
+  html.theme--documenter-dark .hljs-subst {
+    color: #f8f8f2; }
diff --git a/v0.3.8/assets/themes/documenter-light.css b/v0.3.8/assets/themes/documenter-light.css
new file mode 100644
index 000000000..9595d5b8e
--- /dev/null
+++ b/v0.3.8/assets/themes/documenter-light.css
@@ -0,0 +1,7738 @@
+@charset "UTF-8";
+/* Font Awesome 5 mixin. Can be included in any rule that should render Font Awesome icons. */
+@keyframes spinAround {
+  from {
+    transform: rotate(0deg); }
+  to {
+    transform: rotate(359deg); } }
+
+.tabs, .pagination-previous,
+.pagination-next,
+.pagination-link,
+.pagination-ellipsis, .breadcrumb, .file, .button, .is-unselectable, .modal-close, .delete {
+  -webkit-touch-callout: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  user-select: none; }
+
+.navbar-link:not(.is-arrowless)::after, .select:not(.is-multiple):not(.is-loading)::after {
+  border: 3px solid transparent;
+  border-radius: 2px;
+  border-right: 0;
+  border-top: 0;
+  content: " ";
+  display: block;
+  height: 0.625em;
+  margin-top: -0.4375em;
+  pointer-events: none;
+  position: absolute;
+  top: 50%;
+  transform: rotate(-45deg);
+  transform-origin: center;
+  width: 0.625em; }
+
+.admonition:not(:last-child), .tabs:not(:last-child), .message:not(:last-child), .list:not(:last-child), .level:not(:last-child), .breadcrumb:not(:last-child), .highlight:not(:last-child), .block:not(:last-child), .title:not(:last-child),
+.subtitle:not(:last-child), .table-container:not(:last-child), .table:not(:last-child), .progress:not(:last-child), .notification:not(:last-child), .content:not(:last-child), .box:not(:last-child) {
+  margin-bottom: 1.5rem; }
+
+.modal-close, .delete {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  background-color: rgba(10, 10, 10, 0.2);
+  border: none;
+  border-radius: 290486px;
+  cursor: pointer;
+  pointer-events: auto;
+  display: inline-block;
+  flex-grow: 0;
+  flex-shrink: 0;
+  font-size: 0;
+  height: 20px;
+  max-height: 20px;
+  max-width: 20px;
+  min-height: 20px;
+  min-width: 20px;
+  outline: none;
+  position: relative;
+  vertical-align: top;
+  width: 20px; }
+  .modal-close::before, .delete::before, .modal-close::after, .delete::after {
+    background-color: white;
+    content: "";
+    display: block;
+    left: 50%;
+    position: absolute;
+    top: 50%;
+    transform: translateX(-50%) translateY(-50%) rotate(45deg);
+    transform-origin: center center; }
+  .modal-close::before, .delete::before {
+    height: 2px;
+    width: 50%; }
+  .modal-close::after, .delete::after {
+    height: 50%;
+    width: 2px; }
+  .modal-close:hover, .delete:hover, .modal-close:focus, .delete:focus {
+    background-color: rgba(10, 10, 10, 0.3); }
+  .modal-close:active, .delete:active {
+    background-color: rgba(10, 10, 10, 0.4); }
+  .is-small.modal-close, #documenter .docs-sidebar form.docs-search > input.modal-close, .is-small.delete, #documenter .docs-sidebar form.docs-search > input.delete {
+    height: 16px;
+    max-height: 16px;
+    max-width: 16px;
+    min-height: 16px;
+    min-width: 16px;
+    width: 16px; }
+  .is-medium.modal-close, .is-medium.delete {
+    height: 24px;
+    max-height: 24px;
+    max-width: 24px;
+    min-height: 24px;
+    min-width: 24px;
+    width: 24px; }
+  .is-large.modal-close, .is-large.delete {
+    height: 32px;
+    max-height: 32px;
+    max-width: 32px;
+    min-height: 32px;
+    min-width: 32px;
+    width: 32px; }
+
+.control.is-loading::after, .select.is-loading::after, .loader, .button.is-loading::after {
+  animation: spinAround 500ms infinite linear;
+  border: 2px solid #dbdbdb;
+  border-radius: 290486px;
+  border-right-color: transparent;
+  border-top-color: transparent;
+  content: "";
+  display: block;
+  height: 1em;
+  position: relative;
+  width: 1em; }
+
+.hero-video, .modal-background, .modal, .image.is-square img, #documenter .docs-sidebar .docs-logo > img.is-square img,
+.image.is-square .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, .image.is-1by1 img, #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+.image.is-1by1 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, .image.is-5by4 img, #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+.image.is-5by4 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, .image.is-4by3 img, #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+.image.is-4by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, .image.is-3by2 img, #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+.image.is-3by2 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, .image.is-5by3 img, #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+.image.is-5by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, .image.is-16by9 img, #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+.image.is-16by9 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, .image.is-2by1 img, #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+.image.is-2by1 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, .image.is-3by1 img, #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+.image.is-3by1 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, .image.is-4by5 img, #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+.image.is-4by5 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, .image.is-3by4 img, #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+.image.is-3by4 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, .image.is-2by3 img, #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+.image.is-2by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, .image.is-3by5 img, #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+.image.is-3by5 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, .image.is-9by16 img, #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+.image.is-9by16 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, .image.is-1by2 img, #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+.image.is-1by2 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, .image.is-1by3 img, #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+.image.is-1by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio, .is-overlay {
+  bottom: 0;
+  left: 0;
+  position: absolute;
+  right: 0;
+  top: 0; }
+
+.pagination-previous,
+.pagination-next,
+.pagination-link,
+.pagination-ellipsis, .file-cta,
+.file-name, .select select, .textarea, .input, #documenter .docs-sidebar form.docs-search > input, .button {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  align-items: center;
+  border: 1px solid transparent;
+  border-radius: 4px;
+  box-shadow: none;
+  display: inline-flex;
+  font-size: 1rem;
+  height: 2.25em;
+  justify-content: flex-start;
+  line-height: 1.5;
+  padding-bottom: calc(0.375em - 1px);
+  padding-left: calc(0.625em - 1px);
+  padding-right: calc(0.625em - 1px);
+  padding-top: calc(0.375em - 1px);
+  position: relative;
+  vertical-align: top; }
+  .pagination-previous:focus,
+  .pagination-next:focus,
+  .pagination-link:focus,
+  .pagination-ellipsis:focus, .file-cta:focus,
+  .file-name:focus, .select select:focus, .textarea:focus, .input:focus, #documenter .docs-sidebar form.docs-search > input:focus, .button:focus, .is-focused.pagination-previous,
+  .is-focused.pagination-next,
+  .is-focused.pagination-link,
+  .is-focused.pagination-ellipsis, .is-focused.file-cta,
+  .is-focused.file-name, .select select.is-focused, .is-focused.textarea, .is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-focused.button, .pagination-previous:active,
+  .pagination-next:active,
+  .pagination-link:active,
+  .pagination-ellipsis:active, .file-cta:active,
+  .file-name:active, .select select:active, .textarea:active, .input:active, #documenter .docs-sidebar form.docs-search > input:active, .button:active, .is-active.pagination-previous,
+  .is-active.pagination-next,
+  .is-active.pagination-link,
+  .is-active.pagination-ellipsis, .is-active.file-cta,
+  .is-active.file-name, .select select.is-active, .is-active.textarea, .is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .is-active.button {
+    outline: none; }
+  .pagination-previous[disabled],
+  .pagination-next[disabled],
+  .pagination-link[disabled],
+  .pagination-ellipsis[disabled], .file-cta[disabled],
+  .file-name[disabled], .select select[disabled], .textarea[disabled], .input[disabled], #documenter .docs-sidebar form.docs-search > input[disabled], .button[disabled], fieldset[disabled] .pagination-previous,
+  fieldset[disabled] .pagination-next,
+  fieldset[disabled] .pagination-link,
+  fieldset[disabled] .pagination-ellipsis, fieldset[disabled] .file-cta,
+  fieldset[disabled] .file-name, fieldset[disabled] .select select, .select fieldset[disabled] select, fieldset[disabled] .textarea, fieldset[disabled] .input, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input, fieldset[disabled] .button {
+    cursor: not-allowed; }
+
+/*! minireset.css v0.0.4 | MIT License | github.com/jgthms/minireset.css */
+html,
+body,
+p,
+ol,
+ul,
+li,
+dl,
+dt,
+dd,
+blockquote,
+figure,
+fieldset,
+legend,
+textarea,
+pre,
+iframe,
+hr,
+h1,
+h2,
+h3,
+h4,
+h5,
+h6 {
+  margin: 0;
+  padding: 0; }
+
+h1,
+h2,
+h3,
+h4,
+h5,
+h6 {
+  font-size: 100%;
+  font-weight: normal; }
+
+ul {
+  list-style: none; }
+
+button,
+input,
+select,
+textarea {
+  margin: 0; }
+
+html {
+  box-sizing: border-box; }
+
+*, *::before, *::after {
+  box-sizing: inherit; }
+
+img,
+embed,
+iframe,
+object,
+video {
+  height: auto;
+  max-width: 100%; }
+
+audio {
+  max-width: 100%; }
+
+iframe {
+  border: 0; }
+
+table {
+  border-collapse: collapse;
+  border-spacing: 0; }
+
+td,
+th {
+  padding: 0; }
+  td:not([align]),
+  th:not([align]) {
+    text-align: left; }
+
+html {
+  background-color: white;
+  font-size: 16px;
+  -moz-osx-font-smoothing: grayscale;
+  -webkit-font-smoothing: antialiased;
+  min-width: 300px;
+  overflow-x: auto;
+  overflow-y: scroll;
+  text-rendering: optimizeLegibility;
+  text-size-adjust: 100%; }
+
+article,
+aside,
+figure,
+footer,
+header,
+hgroup,
+section {
+  display: block; }
+
+body,
+button,
+input,
+select,
+textarea {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif; }
+
+code,
+pre {
+  -moz-osx-font-smoothing: auto;
+  -webkit-font-smoothing: auto;
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace; }
+
+body {
+  color: #222222;
+  font-size: 1em;
+  font-weight: 400;
+  line-height: 1.5; }
+
+a {
+  color: #2e63b8;
+  cursor: pointer;
+  text-decoration: none; }
+  a strong {
+    color: currentColor; }
+  a:hover {
+    color: #363636; }
+
+code {
+  background-color: rgba(0, 0, 0, 0.05);
+  color: #000000;
+  font-size: 0.875em;
+  font-weight: normal;
+  padding: 0.1em; }
+
+hr {
+  background-color: whitesmoke;
+  border: none;
+  display: block;
+  height: 2px;
+  margin: 1.5rem 0; }
+
+img {
+  height: auto;
+  max-width: 100%; }
+
+input[type="checkbox"],
+input[type="radio"] {
+  vertical-align: baseline; }
+
+small {
+  font-size: 0.875em; }
+
+span {
+  font-style: inherit;
+  font-weight: inherit; }
+
+strong {
+  color: #222222;
+  font-weight: 700; }
+
+fieldset {
+  border: none; }
+
+pre {
+  -webkit-overflow-scrolling: touch;
+  background-color: whitesmoke;
+  color: #222222;
+  font-size: 0.875em;
+  overflow-x: auto;
+  padding: 1.25rem 1.5rem;
+  white-space: pre;
+  word-wrap: normal; }
+  pre code {
+    background-color: transparent;
+    color: currentColor;
+    font-size: 1em;
+    padding: 0; }
+
+table td,
+table th {
+  vertical-align: top; }
+  table td:not([align]),
+  table th:not([align]) {
+    text-align: left; }
+
+table th {
+  color: #222222; }
+
+.is-clearfix::after {
+  clear: both;
+  content: " ";
+  display: table; }
+
+.is-pulled-left {
+  float: left !important; }
+
+.is-pulled-right {
+  float: right !important; }
+
+.is-clipped {
+  overflow: hidden !important; }
+
+.is-size-1 {
+  font-size: 3rem !important; }
+
+.is-size-2 {
+  font-size: 2.5rem !important; }
+
+.is-size-3 {
+  font-size: 2rem !important; }
+
+.is-size-4 {
+  font-size: 1.5rem !important; }
+
+.is-size-5 {
+  font-size: 1.25rem !important; }
+
+.is-size-6 {
+  font-size: 1rem !important; }
+
+.is-size-7, .docstring > section > a.docs-sourcelink {
+  font-size: 0.75rem !important; }
+
+@media screen and (max-width: 768px) {
+  .is-size-1-mobile {
+    font-size: 3rem !important; }
+  .is-size-2-mobile {
+    font-size: 2.5rem !important; }
+  .is-size-3-mobile {
+    font-size: 2rem !important; }
+  .is-size-4-mobile {
+    font-size: 1.5rem !important; }
+  .is-size-5-mobile {
+    font-size: 1.25rem !important; }
+  .is-size-6-mobile {
+    font-size: 1rem !important; }
+  .is-size-7-mobile {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-size-1-tablet {
+    font-size: 3rem !important; }
+  .is-size-2-tablet {
+    font-size: 2.5rem !important; }
+  .is-size-3-tablet {
+    font-size: 2rem !important; }
+  .is-size-4-tablet {
+    font-size: 1.5rem !important; }
+  .is-size-5-tablet {
+    font-size: 1.25rem !important; }
+  .is-size-6-tablet {
+    font-size: 1rem !important; }
+  .is-size-7-tablet {
+    font-size: 0.75rem !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-size-1-touch {
+    font-size: 3rem !important; }
+  .is-size-2-touch {
+    font-size: 2.5rem !important; }
+  .is-size-3-touch {
+    font-size: 2rem !important; }
+  .is-size-4-touch {
+    font-size: 1.5rem !important; }
+  .is-size-5-touch {
+    font-size: 1.25rem !important; }
+  .is-size-6-touch {
+    font-size: 1rem !important; }
+  .is-size-7-touch {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-size-1-desktop {
+    font-size: 3rem !important; }
+  .is-size-2-desktop {
+    font-size: 2.5rem !important; }
+  .is-size-3-desktop {
+    font-size: 2rem !important; }
+  .is-size-4-desktop {
+    font-size: 1.5rem !important; }
+  .is-size-5-desktop {
+    font-size: 1.25rem !important; }
+  .is-size-6-desktop {
+    font-size: 1rem !important; }
+  .is-size-7-desktop {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-size-1-widescreen {
+    font-size: 3rem !important; }
+  .is-size-2-widescreen {
+    font-size: 2.5rem !important; }
+  .is-size-3-widescreen {
+    font-size: 2rem !important; }
+  .is-size-4-widescreen {
+    font-size: 1.5rem !important; }
+  .is-size-5-widescreen {
+    font-size: 1.25rem !important; }
+  .is-size-6-widescreen {
+    font-size: 1rem !important; }
+  .is-size-7-widescreen {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-size-1-fullhd {
+    font-size: 3rem !important; }
+  .is-size-2-fullhd {
+    font-size: 2.5rem !important; }
+  .is-size-3-fullhd {
+    font-size: 2rem !important; }
+  .is-size-4-fullhd {
+    font-size: 1.5rem !important; }
+  .is-size-5-fullhd {
+    font-size: 1.25rem !important; }
+  .is-size-6-fullhd {
+    font-size: 1rem !important; }
+  .is-size-7-fullhd {
+    font-size: 0.75rem !important; } }
+
+.has-text-centered {
+  text-align: center !important; }
+
+.has-text-justified {
+  text-align: justify !important; }
+
+.has-text-left {
+  text-align: left !important; }
+
+.has-text-right {
+  text-align: right !important; }
+
+@media screen and (max-width: 768px) {
+  .has-text-centered-mobile {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-centered-tablet {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-centered-tablet-only {
+    text-align: center !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-centered-touch {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-centered-desktop {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-centered-desktop-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-centered-widescreen {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-centered-widescreen-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-centered-fullhd {
+    text-align: center !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-justified-mobile {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-justified-tablet {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-justified-tablet-only {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-justified-touch {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-justified-desktop {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-justified-desktop-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-justified-widescreen {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-justified-widescreen-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-justified-fullhd {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-left-mobile {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-left-tablet {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-left-tablet-only {
+    text-align: left !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-left-touch {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-left-desktop {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-left-desktop-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-left-widescreen {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-left-widescreen-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-left-fullhd {
+    text-align: left !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-right-mobile {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-right-tablet {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-right-tablet-only {
+    text-align: right !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-right-touch {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-right-desktop {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-right-desktop-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-right-widescreen {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-right-widescreen-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-right-fullhd {
+    text-align: right !important; } }
+
+.is-capitalized {
+  text-transform: capitalize !important; }
+
+.is-lowercase {
+  text-transform: lowercase !important; }
+
+.is-uppercase {
+  text-transform: uppercase !important; }
+
+.is-italic {
+  font-style: italic !important; }
+
+.has-text-white {
+  color: white !important; }
+
+a.has-text-white:hover, a.has-text-white:focus {
+  color: #e6e6e6 !important; }
+
+.has-background-white {
+  background-color: white !important; }
+
+.has-text-black {
+  color: #0a0a0a !important; }
+
+a.has-text-black:hover, a.has-text-black:focus {
+  color: black !important; }
+
+.has-background-black {
+  background-color: #0a0a0a !important; }
+
+.has-text-light {
+  color: whitesmoke !important; }
+
+a.has-text-light:hover, a.has-text-light:focus {
+  color: #dbdbdb !important; }
+
+.has-background-light {
+  background-color: whitesmoke !important; }
+
+.has-text-dark {
+  color: #363636 !important; }
+
+a.has-text-dark:hover, a.has-text-dark:focus {
+  color: #1c1c1c !important; }
+
+.has-background-dark {
+  background-color: #363636 !important; }
+
+.has-text-primary {
+  color: #4eb5de !important; }
+
+a.has-text-primary:hover, a.has-text-primary:focus {
+  color: #27a1d2 !important; }
+
+.has-background-primary {
+  background-color: #4eb5de !important; }
+
+.has-text-link {
+  color: #2e63b8 !important; }
+
+a.has-text-link:hover, a.has-text-link:focus {
+  color: #244d8f !important; }
+
+.has-background-link {
+  background-color: #2e63b8 !important; }
+
+.has-text-info {
+  color: #209cee !important; }
+
+a.has-text-info:hover, a.has-text-info:focus {
+  color: #1081cb !important; }
+
+.has-background-info {
+  background-color: #209cee !important; }
+
+.has-text-success {
+  color: #22c35b !important; }
+
+a.has-text-success:hover, a.has-text-success:focus {
+  color: #1a9847 !important; }
+
+.has-background-success {
+  background-color: #22c35b !important; }
+
+.has-text-warning {
+  color: #ffdd57 !important; }
+
+a.has-text-warning:hover, a.has-text-warning:focus {
+  color: #ffd324 !important; }
+
+.has-background-warning {
+  background-color: #ffdd57 !important; }
+
+.has-text-danger {
+  color: #da0b00 !important; }
+
+a.has-text-danger:hover, a.has-text-danger:focus {
+  color: #a70800 !important; }
+
+.has-background-danger {
+  background-color: #da0b00 !important; }
+
+.has-text-black-bis {
+  color: #121212 !important; }
+
+.has-background-black-bis {
+  background-color: #121212 !important; }
+
+.has-text-black-ter {
+  color: #242424 !important; }
+
+.has-background-black-ter {
+  background-color: #242424 !important; }
+
+.has-text-grey-darker {
+  color: #363636 !important; }
+
+.has-background-grey-darker {
+  background-color: #363636 !important; }
+
+.has-text-grey-dark {
+  color: #4a4a4a !important; }
+
+.has-background-grey-dark {
+  background-color: #4a4a4a !important; }
+
+.has-text-grey {
+  color: #6b6b6b !important; }
+
+.has-background-grey {
+  background-color: #6b6b6b !important; }
+
+.has-text-grey-light {
+  color: #b5b5b5 !important; }
+
+.has-background-grey-light {
+  background-color: #b5b5b5 !important; }
+
+.has-text-grey-lighter {
+  color: #dbdbdb !important; }
+
+.has-background-grey-lighter {
+  background-color: #dbdbdb !important; }
+
+.has-text-white-ter {
+  color: whitesmoke !important; }
+
+.has-background-white-ter {
+  background-color: whitesmoke !important; }
+
+.has-text-white-bis {
+  color: #fafafa !important; }
+
+.has-background-white-bis {
+  background-color: #fafafa !important; }
+
+.has-text-weight-light {
+  font-weight: 300 !important; }
+
+.has-text-weight-normal {
+  font-weight: 400 !important; }
+
+.has-text-weight-medium {
+  font-weight: 500 !important; }
+
+.has-text-weight-semibold {
+  font-weight: 600 !important; }
+
+.has-text-weight-bold {
+  font-weight: 700 !important; }
+
+.is-family-primary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-secondary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-sans-serif {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-monospace {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-family-code {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-block {
+  display: block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-block-mobile {
+    display: block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-block-tablet {
+    display: block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-block-tablet-only {
+    display: block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-block-touch {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-block-desktop {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-block-desktop-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-block-widescreen {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-block-widescreen-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-block-fullhd {
+    display: block !important; } }
+
+.is-flex {
+  display: flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-flex-mobile {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-flex-tablet {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-flex-tablet-only {
+    display: flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-flex-touch {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-flex-desktop {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-flex-desktop-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-flex-widescreen {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-flex-widescreen-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-flex-fullhd {
+    display: flex !important; } }
+
+.is-inline {
+  display: inline !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-mobile {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-tablet {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-tablet-only {
+    display: inline !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-touch {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-desktop {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-desktop-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-widescreen {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-widescreen-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-fullhd {
+    display: inline !important; } }
+
+.is-inline-block {
+  display: inline-block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-block-mobile {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-block-tablet {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-block-tablet-only {
+    display: inline-block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-block-touch {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-block-desktop {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-block-desktop-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-block-widescreen {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-block-widescreen-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-block-fullhd {
+    display: inline-block !important; } }
+
+.is-inline-flex {
+  display: inline-flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-flex-mobile {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-flex-tablet {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-flex-tablet-only {
+    display: inline-flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-flex-touch {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-flex-desktop {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-flex-desktop-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-flex-widescreen {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-flex-widescreen-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-flex-fullhd {
+    display: inline-flex !important; } }
+
+.is-hidden {
+  display: none !important; }
+
+.is-sr-only {
+  border: none !important;
+  clip: rect(0, 0, 0, 0) !important;
+  height: 0.01em !important;
+  overflow: hidden !important;
+  padding: 0 !important;
+  position: absolute !important;
+  white-space: nowrap !important;
+  width: 0.01em !important; }
+
+@media screen and (max-width: 768px) {
+  .is-hidden-mobile {
+    display: none !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-hidden-tablet {
+    display: none !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-hidden-tablet-only {
+    display: none !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-hidden-touch {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-hidden-desktop {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-hidden-desktop-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-hidden-widescreen {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-hidden-widescreen-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-hidden-fullhd {
+    display: none !important; } }
+
+.is-invisible {
+  visibility: hidden !important; }
+
+@media screen and (max-width: 768px) {
+  .is-invisible-mobile {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-invisible-tablet {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-invisible-tablet-only {
+    visibility: hidden !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-invisible-touch {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-invisible-desktop {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-invisible-desktop-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-invisible-widescreen {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-invisible-widescreen-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-invisible-fullhd {
+    visibility: hidden !important; } }
+
+.is-marginless {
+  margin: 0 !important; }
+
+.is-paddingless {
+  padding: 0 !important; }
+
+.is-radiusless {
+  border-radius: 0 !important; }
+
+.is-shadowless {
+  box-shadow: none !important; }
+
+.is-relative {
+  position: relative !important; }
+
+.box {
+  background-color: white;
+  border-radius: 6px;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+  color: #222222;
+  display: block;
+  padding: 1.25rem; }
+
+a.box:hover, a.box:focus {
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px #2e63b8; }
+
+a.box:active {
+  box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2), 0 0 0 1px #2e63b8; }
+
+.button {
+  background-color: white;
+  border-color: #dbdbdb;
+  border-width: 1px;
+  color: #363636;
+  cursor: pointer;
+  justify-content: center;
+  padding-bottom: calc(0.375em - 1px);
+  padding-left: 0.75em;
+  padding-right: 0.75em;
+  padding-top: calc(0.375em - 1px);
+  text-align: center;
+  white-space: nowrap; }
+  .button strong {
+    color: inherit; }
+  .button .icon, .button .icon.is-small, .button #documenter .docs-sidebar form.docs-search > input.icon, #documenter .docs-sidebar .button form.docs-search > input.icon, .button .icon.is-medium, .button .icon.is-large {
+    height: 1.5em;
+    width: 1.5em; }
+  .button .icon:first-child:not(:last-child) {
+    margin-left: calc(-0.375em - 1px);
+    margin-right: 0.1875em; }
+  .button .icon:last-child:not(:first-child) {
+    margin-left: 0.1875em;
+    margin-right: calc(-0.375em - 1px); }
+  .button .icon:first-child:last-child {
+    margin-left: calc(-0.375em - 1px);
+    margin-right: calc(-0.375em - 1px); }
+  .button:hover, .button.is-hovered {
+    border-color: #b5b5b5;
+    color: #363636; }
+  .button:focus, .button.is-focused {
+    border-color: #3c5dcd;
+    color: #363636; }
+    .button:focus:not(:active), .button.is-focused:not(:active) {
+      box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .button:active, .button.is-active {
+    border-color: #4a4a4a;
+    color: #363636; }
+  .button.is-text {
+    background-color: transparent;
+    border-color: transparent;
+    color: #222222;
+    text-decoration: underline; }
+    .button.is-text:hover, .button.is-text.is-hovered, .button.is-text:focus, .button.is-text.is-focused {
+      background-color: whitesmoke;
+      color: #222222; }
+    .button.is-text:active, .button.is-text.is-active {
+      background-color: #e8e8e8;
+      color: #222222; }
+    .button.is-text[disabled], fieldset[disabled] .button.is-text {
+      background-color: transparent;
+      border-color: transparent;
+      box-shadow: none; }
+  .button.is-white {
+    background-color: white;
+    border-color: transparent;
+    color: #0a0a0a; }
+    .button.is-white:hover, .button.is-white.is-hovered {
+      background-color: #f9f9f9;
+      border-color: transparent;
+      color: #0a0a0a; }
+    .button.is-white:focus, .button.is-white.is-focused {
+      border-color: transparent;
+      color: #0a0a0a; }
+      .button.is-white:focus:not(:active), .button.is-white.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+    .button.is-white:active, .button.is-white.is-active {
+      background-color: #f2f2f2;
+      border-color: transparent;
+      color: #0a0a0a; }
+    .button.is-white[disabled], fieldset[disabled] .button.is-white {
+      background-color: white;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-white.is-inverted {
+      background-color: #0a0a0a;
+      color: white; }
+      .button.is-white.is-inverted:hover, .button.is-white.is-inverted.is-hovered {
+        background-color: black; }
+      .button.is-white.is-inverted[disabled], fieldset[disabled] .button.is-white.is-inverted {
+        background-color: #0a0a0a;
+        border-color: transparent;
+        box-shadow: none;
+        color: white; }
+    .button.is-white.is-loading::after {
+      border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+    .button.is-white.is-outlined {
+      background-color: transparent;
+      border-color: white;
+      color: white; }
+      .button.is-white.is-outlined:hover, .button.is-white.is-outlined.is-hovered, .button.is-white.is-outlined:focus, .button.is-white.is-outlined.is-focused {
+        background-color: white;
+        border-color: white;
+        color: #0a0a0a; }
+      .button.is-white.is-outlined.is-loading::after {
+        border-color: transparent transparent white white !important; }
+      .button.is-white.is-outlined.is-loading:hover::after, .button.is-white.is-outlined.is-loading.is-hovered::after, .button.is-white.is-outlined.is-loading:focus::after, .button.is-white.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      .button.is-white.is-outlined[disabled], fieldset[disabled] .button.is-white.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        box-shadow: none;
+        color: white; }
+    .button.is-white.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #0a0a0a;
+      color: #0a0a0a; }
+      .button.is-white.is-inverted.is-outlined:hover, .button.is-white.is-inverted.is-outlined.is-hovered, .button.is-white.is-inverted.is-outlined:focus, .button.is-white.is-inverted.is-outlined.is-focused {
+        background-color: #0a0a0a;
+        color: white; }
+      .button.is-white.is-inverted.is-outlined.is-loading:hover::after, .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-white.is-inverted.is-outlined.is-loading:focus::after, .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent white white !important; }
+      .button.is-white.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-white.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        box-shadow: none;
+        color: #0a0a0a; }
+  .button.is-black {
+    background-color: #0a0a0a;
+    border-color: transparent;
+    color: white; }
+    .button.is-black:hover, .button.is-black.is-hovered {
+      background-color: #040404;
+      border-color: transparent;
+      color: white; }
+    .button.is-black:focus, .button.is-black.is-focused {
+      border-color: transparent;
+      color: white; }
+      .button.is-black:focus:not(:active), .button.is-black.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+    .button.is-black:active, .button.is-black.is-active {
+      background-color: black;
+      border-color: transparent;
+      color: white; }
+    .button.is-black[disabled], fieldset[disabled] .button.is-black {
+      background-color: #0a0a0a;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-black.is-inverted {
+      background-color: white;
+      color: #0a0a0a; }
+      .button.is-black.is-inverted:hover, .button.is-black.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-black.is-inverted[disabled], fieldset[disabled] .button.is-black.is-inverted {
+        background-color: white;
+        border-color: transparent;
+        box-shadow: none;
+        color: #0a0a0a; }
+    .button.is-black.is-loading::after {
+      border-color: transparent transparent white white !important; }
+    .button.is-black.is-outlined {
+      background-color: transparent;
+      border-color: #0a0a0a;
+      color: #0a0a0a; }
+      .button.is-black.is-outlined:hover, .button.is-black.is-outlined.is-hovered, .button.is-black.is-outlined:focus, .button.is-black.is-outlined.is-focused {
+        background-color: #0a0a0a;
+        border-color: #0a0a0a;
+        color: white; }
+      .button.is-black.is-outlined.is-loading::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      .button.is-black.is-outlined.is-loading:hover::after, .button.is-black.is-outlined.is-loading.is-hovered::after, .button.is-black.is-outlined.is-loading:focus::after, .button.is-black.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent white white !important; }
+      .button.is-black.is-outlined[disabled], fieldset[disabled] .button.is-black.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        box-shadow: none;
+        color: #0a0a0a; }
+    .button.is-black.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: white;
+      color: white; }
+      .button.is-black.is-inverted.is-outlined:hover, .button.is-black.is-inverted.is-outlined.is-hovered, .button.is-black.is-inverted.is-outlined:focus, .button.is-black.is-inverted.is-outlined.is-focused {
+        background-color: white;
+        color: #0a0a0a; }
+      .button.is-black.is-inverted.is-outlined.is-loading:hover::after, .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-black.is-inverted.is-outlined.is-loading:focus::after, .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      .button.is-black.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-black.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        box-shadow: none;
+        color: white; }
+  .button.is-light {
+    background-color: whitesmoke;
+    border-color: transparent;
+    color: #363636; }
+    .button.is-light:hover, .button.is-light.is-hovered {
+      background-color: #eeeeee;
+      border-color: transparent;
+      color: #363636; }
+    .button.is-light:focus, .button.is-light.is-focused {
+      border-color: transparent;
+      color: #363636; }
+      .button.is-light:focus:not(:active), .button.is-light.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); }
+    .button.is-light:active, .button.is-light.is-active {
+      background-color: #e8e8e8;
+      border-color: transparent;
+      color: #363636; }
+    .button.is-light[disabled], fieldset[disabled] .button.is-light {
+      background-color: whitesmoke;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-light.is-inverted {
+      background-color: #363636;
+      color: whitesmoke; }
+      .button.is-light.is-inverted:hover, .button.is-light.is-inverted.is-hovered {
+        background-color: #292929; }
+      .button.is-light.is-inverted[disabled], fieldset[disabled] .button.is-light.is-inverted {
+        background-color: #363636;
+        border-color: transparent;
+        box-shadow: none;
+        color: whitesmoke; }
+    .button.is-light.is-loading::after {
+      border-color: transparent transparent #363636 #363636 !important; }
+    .button.is-light.is-outlined {
+      background-color: transparent;
+      border-color: whitesmoke;
+      color: whitesmoke; }
+      .button.is-light.is-outlined:hover, .button.is-light.is-outlined.is-hovered, .button.is-light.is-outlined:focus, .button.is-light.is-outlined.is-focused {
+        background-color: whitesmoke;
+        border-color: whitesmoke;
+        color: #363636; }
+      .button.is-light.is-outlined.is-loading::after {
+        border-color: transparent transparent whitesmoke whitesmoke !important; }
+      .button.is-light.is-outlined.is-loading:hover::after, .button.is-light.is-outlined.is-loading.is-hovered::after, .button.is-light.is-outlined.is-loading:focus::after, .button.is-light.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #363636 #363636 !important; }
+      .button.is-light.is-outlined[disabled], fieldset[disabled] .button.is-light.is-outlined {
+        background-color: transparent;
+        border-color: whitesmoke;
+        box-shadow: none;
+        color: whitesmoke; }
+    .button.is-light.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #363636;
+      color: #363636; }
+      .button.is-light.is-inverted.is-outlined:hover, .button.is-light.is-inverted.is-outlined.is-hovered, .button.is-light.is-inverted.is-outlined:focus, .button.is-light.is-inverted.is-outlined.is-focused {
+        background-color: #363636;
+        color: whitesmoke; }
+      .button.is-light.is-inverted.is-outlined.is-loading:hover::after, .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-light.is-inverted.is-outlined.is-loading:focus::after, .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent whitesmoke whitesmoke !important; }
+      .button.is-light.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-light.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #363636;
+        box-shadow: none;
+        color: #363636; }
+  .button.is-dark, .content kbd.button {
+    background-color: #363636;
+    border-color: transparent;
+    color: whitesmoke; }
+    .button.is-dark:hover, .content kbd.button:hover, .button.is-dark.is-hovered, .content kbd.button.is-hovered {
+      background-color: #2f2f2f;
+      border-color: transparent;
+      color: whitesmoke; }
+    .button.is-dark:focus, .content kbd.button:focus, .button.is-dark.is-focused, .content kbd.button.is-focused {
+      border-color: transparent;
+      color: whitesmoke; }
+      .button.is-dark:focus:not(:active), .content kbd.button:focus:not(:active), .button.is-dark.is-focused:not(:active), .content kbd.button.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); }
+    .button.is-dark:active, .content kbd.button:active, .button.is-dark.is-active, .content kbd.button.is-active {
+      background-color: #292929;
+      border-color: transparent;
+      color: whitesmoke; }
+    .button.is-dark[disabled], .content kbd.button[disabled], fieldset[disabled] .button.is-dark, fieldset[disabled] .content kbd.button, .content fieldset[disabled] kbd.button {
+      background-color: #363636;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-dark.is-inverted, .content kbd.button.is-inverted {
+      background-color: whitesmoke;
+      color: #363636; }
+      .button.is-dark.is-inverted:hover, .content kbd.button.is-inverted:hover, .button.is-dark.is-inverted.is-hovered, .content kbd.button.is-inverted.is-hovered {
+        background-color: #e8e8e8; }
+      .button.is-dark.is-inverted[disabled], .content kbd.button.is-inverted[disabled], fieldset[disabled] .button.is-dark.is-inverted, fieldset[disabled] .content kbd.button.is-inverted, .content fieldset[disabled] kbd.button.is-inverted {
+        background-color: whitesmoke;
+        border-color: transparent;
+        box-shadow: none;
+        color: #363636; }
+    .button.is-dark.is-loading::after, .content kbd.button.is-loading::after {
+      border-color: transparent transparent whitesmoke whitesmoke !important; }
+    .button.is-dark.is-outlined, .content kbd.button.is-outlined {
+      background-color: transparent;
+      border-color: #363636;
+      color: #363636; }
+      .button.is-dark.is-outlined:hover, .content kbd.button.is-outlined:hover, .button.is-dark.is-outlined.is-hovered, .content kbd.button.is-outlined.is-hovered, .button.is-dark.is-outlined:focus, .content kbd.button.is-outlined:focus, .button.is-dark.is-outlined.is-focused, .content kbd.button.is-outlined.is-focused {
+        background-color: #363636;
+        border-color: #363636;
+        color: whitesmoke; }
+      .button.is-dark.is-outlined.is-loading::after, .content kbd.button.is-outlined.is-loading::after {
+        border-color: transparent transparent #363636 #363636 !important; }
+      .button.is-dark.is-outlined.is-loading:hover::after, .content kbd.button.is-outlined.is-loading:hover::after, .button.is-dark.is-outlined.is-loading.is-hovered::after, .content kbd.button.is-outlined.is-loading.is-hovered::after, .button.is-dark.is-outlined.is-loading:focus::after, .content kbd.button.is-outlined.is-loading:focus::after, .button.is-dark.is-outlined.is-loading.is-focused::after, .content kbd.button.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent whitesmoke whitesmoke !important; }
+      .button.is-dark.is-outlined[disabled], .content kbd.button.is-outlined[disabled], fieldset[disabled] .button.is-dark.is-outlined, fieldset[disabled] .content kbd.button.is-outlined, .content fieldset[disabled] kbd.button.is-outlined {
+        background-color: transparent;
+        border-color: #363636;
+        box-shadow: none;
+        color: #363636; }
+    .button.is-dark.is-inverted.is-outlined, .content kbd.button.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: whitesmoke;
+      color: whitesmoke; }
+      .button.is-dark.is-inverted.is-outlined:hover, .content kbd.button.is-inverted.is-outlined:hover, .button.is-dark.is-inverted.is-outlined.is-hovered, .content kbd.button.is-inverted.is-outlined.is-hovered, .button.is-dark.is-inverted.is-outlined:focus, .content kbd.button.is-inverted.is-outlined:focus, .button.is-dark.is-inverted.is-outlined.is-focused, .content kbd.button.is-inverted.is-outlined.is-focused {
+        background-color: whitesmoke;
+        color: #363636; }
+      .button.is-dark.is-inverted.is-outlined.is-loading:hover::after, .content kbd.button.is-inverted.is-outlined.is-loading:hover::after, .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after, .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-dark.is-inverted.is-outlined.is-loading:focus::after, .content kbd.button.is-inverted.is-outlined.is-loading:focus::after, .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after, .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #363636 #363636 !important; }
+      .button.is-dark.is-inverted.is-outlined[disabled], .content kbd.button.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-dark.is-inverted.is-outlined, fieldset[disabled] .content kbd.button.is-inverted.is-outlined, .content fieldset[disabled] kbd.button.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: whitesmoke;
+        box-shadow: none;
+        color: whitesmoke; }
+  .button.is-primary, .docstring > section > a.button.docs-sourcelink {
+    background-color: #4eb5de;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-primary:hover, .docstring > section > a.button.docs-sourcelink:hover, .button.is-primary.is-hovered, .docstring > section > a.button.is-hovered.docs-sourcelink {
+      background-color: #43b1dc;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-primary:focus, .docstring > section > a.button.docs-sourcelink:focus, .button.is-primary.is-focused, .docstring > section > a.button.is-focused.docs-sourcelink {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-primary:focus:not(:active), .docstring > section > a.button.docs-sourcelink:focus:not(:active), .button.is-primary.is-focused:not(:active), .docstring > section > a.button.is-focused.docs-sourcelink:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); }
+    .button.is-primary:active, .docstring > section > a.button.docs-sourcelink:active, .button.is-primary.is-active, .docstring > section > a.button.is-active.docs-sourcelink {
+      background-color: #39acda;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-primary[disabled], .docstring > section > a.button.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary, fieldset[disabled] .docstring > section > a.button.docs-sourcelink {
+      background-color: #4eb5de;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-primary.is-inverted, .docstring > section > a.button.is-inverted.docs-sourcelink {
+      background-color: #fff;
+      color: #4eb5de; }
+      .button.is-primary.is-inverted:hover, .docstring > section > a.button.is-inverted.docs-sourcelink:hover, .button.is-primary.is-inverted.is-hovered, .docstring > section > a.button.is-inverted.is-hovered.docs-sourcelink {
+        background-color: #f2f2f2; }
+      .button.is-primary.is-inverted[disabled], .docstring > section > a.button.is-inverted.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-inverted, fieldset[disabled] .docstring > section > a.button.is-inverted.docs-sourcelink {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #4eb5de; }
+    .button.is-primary.is-loading::after, .docstring > section > a.button.is-loading.docs-sourcelink::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-primary.is-outlined, .docstring > section > a.button.is-outlined.docs-sourcelink {
+      background-color: transparent;
+      border-color: #4eb5de;
+      color: #4eb5de; }
+      .button.is-primary.is-outlined:hover, .docstring > section > a.button.is-outlined.docs-sourcelink:hover, .button.is-primary.is-outlined.is-hovered, .docstring > section > a.button.is-outlined.is-hovered.docs-sourcelink, .button.is-primary.is-outlined:focus, .docstring > section > a.button.is-outlined.docs-sourcelink:focus, .button.is-primary.is-outlined.is-focused, .docstring > section > a.button.is-outlined.is-focused.docs-sourcelink {
+        background-color: #4eb5de;
+        border-color: #4eb5de;
+        color: #fff; }
+      .button.is-primary.is-outlined.is-loading::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink::after {
+        border-color: transparent transparent #4eb5de #4eb5de !important; }
+      .button.is-primary.is-outlined.is-loading:hover::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:hover::after, .button.is-primary.is-outlined.is-loading.is-hovered::after, .docstring > section > a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after, .button.is-primary.is-outlined.is-loading:focus::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:focus::after, .button.is-primary.is-outlined.is-loading.is-focused::after, .docstring > section > a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-primary.is-outlined[disabled], .docstring > section > a.button.is-outlined.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-outlined, fieldset[disabled] .docstring > section > a.button.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #4eb5de;
+        box-shadow: none;
+        color: #4eb5de; }
+    .button.is-primary.is-inverted.is-outlined, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-primary.is-inverted.is-outlined:hover, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:hover, .button.is-primary.is-inverted.is-outlined.is-hovered, .docstring > section > a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink, .button.is-primary.is-inverted.is-outlined:focus, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:focus, .button.is-primary.is-inverted.is-outlined.is-focused, .docstring > section > a.button.is-inverted.is-outlined.is-focused.docs-sourcelink {
+        background-color: #fff;
+        color: #4eb5de; }
+      .button.is-primary.is-inverted.is-outlined.is-loading:hover::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after, .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after, .button.is-primary.is-inverted.is-outlined.is-loading:focus::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after, .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+        border-color: transparent transparent #4eb5de #4eb5de !important; }
+      .button.is-primary.is-inverted.is-outlined[disabled], .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-inverted.is-outlined, fieldset[disabled] .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-link {
+    background-color: #2e63b8;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-link:hover, .button.is-link.is-hovered {
+      background-color: #2b5eae;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-link:focus, .button.is-link.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-link:focus:not(:active), .button.is-link.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+    .button.is-link:active, .button.is-link.is-active {
+      background-color: #2958a4;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-link[disabled], fieldset[disabled] .button.is-link {
+      background-color: #2e63b8;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-link.is-inverted {
+      background-color: #fff;
+      color: #2e63b8; }
+      .button.is-link.is-inverted:hover, .button.is-link.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-link.is-inverted[disabled], fieldset[disabled] .button.is-link.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #2e63b8; }
+    .button.is-link.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-link.is-outlined {
+      background-color: transparent;
+      border-color: #2e63b8;
+      color: #2e63b8; }
+      .button.is-link.is-outlined:hover, .button.is-link.is-outlined.is-hovered, .button.is-link.is-outlined:focus, .button.is-link.is-outlined.is-focused {
+        background-color: #2e63b8;
+        border-color: #2e63b8;
+        color: #fff; }
+      .button.is-link.is-outlined.is-loading::after {
+        border-color: transparent transparent #2e63b8 #2e63b8 !important; }
+      .button.is-link.is-outlined.is-loading:hover::after, .button.is-link.is-outlined.is-loading.is-hovered::after, .button.is-link.is-outlined.is-loading:focus::after, .button.is-link.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-link.is-outlined[disabled], fieldset[disabled] .button.is-link.is-outlined {
+        background-color: transparent;
+        border-color: #2e63b8;
+        box-shadow: none;
+        color: #2e63b8; }
+    .button.is-link.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-link.is-inverted.is-outlined:hover, .button.is-link.is-inverted.is-outlined.is-hovered, .button.is-link.is-inverted.is-outlined:focus, .button.is-link.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #2e63b8; }
+      .button.is-link.is-inverted.is-outlined.is-loading:hover::after, .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-link.is-inverted.is-outlined.is-loading:focus::after, .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #2e63b8 #2e63b8 !important; }
+      .button.is-link.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-link.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-info {
+    background-color: #209cee;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-info:hover, .button.is-info.is-hovered {
+      background-color: #1497ed;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-info:focus, .button.is-info.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-info:focus:not(:active), .button.is-info.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); }
+    .button.is-info:active, .button.is-info.is-active {
+      background-color: #1190e3;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-info[disabled], fieldset[disabled] .button.is-info {
+      background-color: #209cee;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-info.is-inverted {
+      background-color: #fff;
+      color: #209cee; }
+      .button.is-info.is-inverted:hover, .button.is-info.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-info.is-inverted[disabled], fieldset[disabled] .button.is-info.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #209cee; }
+    .button.is-info.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-info.is-outlined {
+      background-color: transparent;
+      border-color: #209cee;
+      color: #209cee; }
+      .button.is-info.is-outlined:hover, .button.is-info.is-outlined.is-hovered, .button.is-info.is-outlined:focus, .button.is-info.is-outlined.is-focused {
+        background-color: #209cee;
+        border-color: #209cee;
+        color: #fff; }
+      .button.is-info.is-outlined.is-loading::after {
+        border-color: transparent transparent #209cee #209cee !important; }
+      .button.is-info.is-outlined.is-loading:hover::after, .button.is-info.is-outlined.is-loading.is-hovered::after, .button.is-info.is-outlined.is-loading:focus::after, .button.is-info.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-info.is-outlined[disabled], fieldset[disabled] .button.is-info.is-outlined {
+        background-color: transparent;
+        border-color: #209cee;
+        box-shadow: none;
+        color: #209cee; }
+    .button.is-info.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-info.is-inverted.is-outlined:hover, .button.is-info.is-inverted.is-outlined.is-hovered, .button.is-info.is-inverted.is-outlined:focus, .button.is-info.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #209cee; }
+      .button.is-info.is-inverted.is-outlined.is-loading:hover::after, .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-info.is-inverted.is-outlined.is-loading:focus::after, .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #209cee #209cee !important; }
+      .button.is-info.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-info.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-success {
+    background-color: #22c35b;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-success:hover, .button.is-success.is-hovered {
+      background-color: #20b856;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-success:focus, .button.is-success.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-success:focus:not(:active), .button.is-success.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); }
+    .button.is-success:active, .button.is-success.is-active {
+      background-color: #1ead51;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-success[disabled], fieldset[disabled] .button.is-success {
+      background-color: #22c35b;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-success.is-inverted {
+      background-color: #fff;
+      color: #22c35b; }
+      .button.is-success.is-inverted:hover, .button.is-success.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-success.is-inverted[disabled], fieldset[disabled] .button.is-success.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #22c35b; }
+    .button.is-success.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-success.is-outlined {
+      background-color: transparent;
+      border-color: #22c35b;
+      color: #22c35b; }
+      .button.is-success.is-outlined:hover, .button.is-success.is-outlined.is-hovered, .button.is-success.is-outlined:focus, .button.is-success.is-outlined.is-focused {
+        background-color: #22c35b;
+        border-color: #22c35b;
+        color: #fff; }
+      .button.is-success.is-outlined.is-loading::after {
+        border-color: transparent transparent #22c35b #22c35b !important; }
+      .button.is-success.is-outlined.is-loading:hover::after, .button.is-success.is-outlined.is-loading.is-hovered::after, .button.is-success.is-outlined.is-loading:focus::after, .button.is-success.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-success.is-outlined[disabled], fieldset[disabled] .button.is-success.is-outlined {
+        background-color: transparent;
+        border-color: #22c35b;
+        box-shadow: none;
+        color: #22c35b; }
+    .button.is-success.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-success.is-inverted.is-outlined:hover, .button.is-success.is-inverted.is-outlined.is-hovered, .button.is-success.is-inverted.is-outlined:focus, .button.is-success.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #22c35b; }
+      .button.is-success.is-inverted.is-outlined.is-loading:hover::after, .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-success.is-inverted.is-outlined.is-loading:focus::after, .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #22c35b #22c35b !important; }
+      .button.is-success.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-success.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-warning {
+    background-color: #ffdd57;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+    .button.is-warning:hover, .button.is-warning.is-hovered {
+      background-color: #ffda4a;
+      border-color: transparent;
+      color: rgba(0, 0, 0, 0.7); }
+    .button.is-warning:focus, .button.is-warning.is-focused {
+      border-color: transparent;
+      color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning:focus:not(:active), .button.is-warning.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); }
+    .button.is-warning:active, .button.is-warning.is-active {
+      background-color: #ffd83e;
+      border-color: transparent;
+      color: rgba(0, 0, 0, 0.7); }
+    .button.is-warning[disabled], fieldset[disabled] .button.is-warning {
+      background-color: #ffdd57;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-warning.is-inverted {
+      background-color: rgba(0, 0, 0, 0.7);
+      color: #ffdd57; }
+      .button.is-warning.is-inverted:hover, .button.is-warning.is-inverted.is-hovered {
+        background-color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning.is-inverted[disabled], fieldset[disabled] .button.is-warning.is-inverted {
+        background-color: rgba(0, 0, 0, 0.7);
+        border-color: transparent;
+        box-shadow: none;
+        color: #ffdd57; }
+    .button.is-warning.is-loading::after {
+      border-color: transparent transparent rgba(0, 0, 0, 0.7) rgba(0, 0, 0, 0.7) !important; }
+    .button.is-warning.is-outlined {
+      background-color: transparent;
+      border-color: #ffdd57;
+      color: #ffdd57; }
+      .button.is-warning.is-outlined:hover, .button.is-warning.is-outlined.is-hovered, .button.is-warning.is-outlined:focus, .button.is-warning.is-outlined.is-focused {
+        background-color: #ffdd57;
+        border-color: #ffdd57;
+        color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning.is-outlined.is-loading::after {
+        border-color: transparent transparent #ffdd57 #ffdd57 !important; }
+      .button.is-warning.is-outlined.is-loading:hover::after, .button.is-warning.is-outlined.is-loading.is-hovered::after, .button.is-warning.is-outlined.is-loading:focus::after, .button.is-warning.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent rgba(0, 0, 0, 0.7) rgba(0, 0, 0, 0.7) !important; }
+      .button.is-warning.is-outlined[disabled], fieldset[disabled] .button.is-warning.is-outlined {
+        background-color: transparent;
+        border-color: #ffdd57;
+        box-shadow: none;
+        color: #ffdd57; }
+    .button.is-warning.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: rgba(0, 0, 0, 0.7);
+      color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning.is-inverted.is-outlined:hover, .button.is-warning.is-inverted.is-outlined.is-hovered, .button.is-warning.is-inverted.is-outlined:focus, .button.is-warning.is-inverted.is-outlined.is-focused {
+        background-color: rgba(0, 0, 0, 0.7);
+        color: #ffdd57; }
+      .button.is-warning.is-inverted.is-outlined.is-loading:hover::after, .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-warning.is-inverted.is-outlined.is-loading:focus::after, .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #ffdd57 #ffdd57 !important; }
+      .button.is-warning.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-warning.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: rgba(0, 0, 0, 0.7);
+        box-shadow: none;
+        color: rgba(0, 0, 0, 0.7); }
+  .button.is-danger {
+    background-color: #da0b00;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-danger:hover, .button.is-danger.is-hovered {
+      background-color: #cd0a00;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-danger:focus, .button.is-danger.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-danger:focus:not(:active), .button.is-danger.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); }
+    .button.is-danger:active, .button.is-danger.is-active {
+      background-color: #c10a00;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-danger[disabled], fieldset[disabled] .button.is-danger {
+      background-color: #da0b00;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-danger.is-inverted {
+      background-color: #fff;
+      color: #da0b00; }
+      .button.is-danger.is-inverted:hover, .button.is-danger.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-danger.is-inverted[disabled], fieldset[disabled] .button.is-danger.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #da0b00; }
+    .button.is-danger.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-danger.is-outlined {
+      background-color: transparent;
+      border-color: #da0b00;
+      color: #da0b00; }
+      .button.is-danger.is-outlined:hover, .button.is-danger.is-outlined.is-hovered, .button.is-danger.is-outlined:focus, .button.is-danger.is-outlined.is-focused {
+        background-color: #da0b00;
+        border-color: #da0b00;
+        color: #fff; }
+      .button.is-danger.is-outlined.is-loading::after {
+        border-color: transparent transparent #da0b00 #da0b00 !important; }
+      .button.is-danger.is-outlined.is-loading:hover::after, .button.is-danger.is-outlined.is-loading.is-hovered::after, .button.is-danger.is-outlined.is-loading:focus::after, .button.is-danger.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-danger.is-outlined[disabled], fieldset[disabled] .button.is-danger.is-outlined {
+        background-color: transparent;
+        border-color: #da0b00;
+        box-shadow: none;
+        color: #da0b00; }
+    .button.is-danger.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-danger.is-inverted.is-outlined:hover, .button.is-danger.is-inverted.is-outlined.is-hovered, .button.is-danger.is-inverted.is-outlined:focus, .button.is-danger.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #da0b00; }
+      .button.is-danger.is-inverted.is-outlined.is-loading:hover::after, .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-danger.is-inverted.is-outlined.is-loading:focus::after, .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #da0b00 #da0b00 !important; }
+      .button.is-danger.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-danger.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-small, #documenter .docs-sidebar form.docs-search > input.button {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .button.is-normal {
+    font-size: 1rem; }
+  .button.is-medium {
+    font-size: 1.25rem; }
+  .button.is-large {
+    font-size: 1.5rem; }
+  .button[disabled], fieldset[disabled] .button {
+    background-color: white;
+    border-color: #dbdbdb;
+    box-shadow: none;
+    opacity: 0.5; }
+  .button.is-fullwidth {
+    display: flex;
+    width: 100%; }
+  .button.is-loading {
+    color: transparent !important;
+    pointer-events: none; }
+    .button.is-loading::after {
+      position: absolute;
+      left: calc(50% - (1em / 2));
+      top: calc(50% - (1em / 2));
+      position: absolute !important; }
+  .button.is-static {
+    background-color: whitesmoke;
+    border-color: #dbdbdb;
+    color: #6b6b6b;
+    box-shadow: none;
+    pointer-events: none; }
+  .button.is-rounded, #documenter .docs-sidebar form.docs-search > input.button {
+    border-radius: 290486px;
+    padding-left: 1em;
+    padding-right: 1em; }
+
+.buttons {
+  align-items: center;
+  display: flex;
+  flex-wrap: wrap;
+  justify-content: flex-start; }
+  .buttons .button {
+    margin-bottom: 0.5rem; }
+    .buttons .button:not(:last-child):not(.is-fullwidth) {
+      margin-right: 0.5rem; }
+  .buttons:last-child {
+    margin-bottom: -0.5rem; }
+  .buttons:not(:last-child) {
+    margin-bottom: 1rem; }
+  .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large) {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large) {
+    font-size: 1.25rem; }
+  .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium) {
+    font-size: 1.5rem; }
+  .buttons.has-addons .button:not(:first-child) {
+    border-bottom-left-radius: 0;
+    border-top-left-radius: 0; }
+  .buttons.has-addons .button:not(:last-child) {
+    border-bottom-right-radius: 0;
+    border-top-right-radius: 0;
+    margin-right: -1px; }
+  .buttons.has-addons .button:last-child {
+    margin-right: 0; }
+  .buttons.has-addons .button:hover, .buttons.has-addons .button.is-hovered {
+    z-index: 2; }
+  .buttons.has-addons .button:focus, .buttons.has-addons .button.is-focused, .buttons.has-addons .button:active, .buttons.has-addons .button.is-active, .buttons.has-addons .button.is-selected {
+    z-index: 3; }
+    .buttons.has-addons .button:focus:hover, .buttons.has-addons .button.is-focused:hover, .buttons.has-addons .button:active:hover, .buttons.has-addons .button.is-active:hover, .buttons.has-addons .button.is-selected:hover {
+      z-index: 4; }
+  .buttons.has-addons .button.is-expanded {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .buttons.is-centered {
+    justify-content: center; }
+    .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth) {
+      margin-left: 0.25rem;
+      margin-right: 0.25rem; }
+  .buttons.is-right {
+    justify-content: flex-end; }
+    .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth) {
+      margin-left: 0.25rem;
+      margin-right: 0.25rem; }
+
+.container {
+  flex-grow: 1;
+  margin: 0 auto;
+  position: relative;
+  width: auto; }
+  @media screen and (min-width: 1056px) {
+    .container {
+      max-width: 992px; }
+      .container.is-fluid {
+        margin-left: 32px;
+        margin-right: 32px;
+        max-width: none; } }
+  @media screen and (max-width: 1215px) {
+    .container.is-widescreen {
+      max-width: 1152px; } }
+  @media screen and (max-width: 1407px) {
+    .container.is-fullhd {
+      max-width: 1344px; } }
+  @media screen and (min-width: 1216px) {
+    .container {
+      max-width: 1152px; } }
+  @media screen and (min-width: 1408px) {
+    .container {
+      max-width: 1344px; } }
+.content li + li {
+  margin-top: 0.25em; }
+
+.content p:not(:last-child),
+.content dl:not(:last-child),
+.content ol:not(:last-child),
+.content ul:not(:last-child),
+.content blockquote:not(:last-child),
+.content pre:not(:last-child),
+.content table:not(:last-child) {
+  margin-bottom: 1em; }
+
+.content h1,
+.content h2,
+.content h3,
+.content h4,
+.content h5,
+.content h6 {
+  color: #222222;
+  font-weight: 600;
+  line-height: 1.125; }
+
+.content h1 {
+  font-size: 2em;
+  margin-bottom: 0.5em; }
+  .content h1:not(:first-child) {
+    margin-top: 1em; }
+
+.content h2 {
+  font-size: 1.75em;
+  margin-bottom: 0.5714em; }
+  .content h2:not(:first-child) {
+    margin-top: 1.1428em; }
+
+.content h3 {
+  font-size: 1.5em;
+  margin-bottom: 0.6666em; }
+  .content h3:not(:first-child) {
+    margin-top: 1.3333em; }
+
+.content h4 {
+  font-size: 1.25em;
+  margin-bottom: 0.8em; }
+
+.content h5 {
+  font-size: 1.125em;
+  margin-bottom: 0.8888em; }
+
+.content h6 {
+  font-size: 1em;
+  margin-bottom: 1em; }
+
+.content blockquote {
+  background-color: whitesmoke;
+  border-left: 5px solid #dbdbdb;
+  padding: 1.25em 1.5em; }
+
+.content ol {
+  list-style-position: outside;
+  margin-left: 2em;
+  margin-top: 1em; }
+  .content ol:not([type]) {
+    list-style-type: decimal; }
+    .content ol.is-lower-alpha:not([type]) {
+      list-style-type: lower-alpha; }
+    .content ol.is-lower-roman:not([type]) {
+      list-style-type: lower-roman; }
+    .content ol.is-upper-alpha:not([type]) {
+      list-style-type: upper-alpha; }
+    .content ol.is-upper-roman:not([type]) {
+      list-style-type: upper-roman; }
+
+.content ul {
+  list-style: disc outside;
+  margin-left: 2em;
+  margin-top: 1em; }
+  .content ul ul {
+    list-style-type: circle;
+    margin-top: 0.5em; }
+    .content ul ul ul {
+      list-style-type: square; }
+
+.content dd {
+  margin-left: 2em; }
+
+.content figure {
+  margin-left: 2em;
+  margin-right: 2em;
+  text-align: center; }
+  .content figure:not(:first-child) {
+    margin-top: 2em; }
+  .content figure:not(:last-child) {
+    margin-bottom: 2em; }
+  .content figure img {
+    display: inline-block; }
+  .content figure figcaption {
+    font-style: italic; }
+
+.content pre {
+  -webkit-overflow-scrolling: touch;
+  overflow-x: auto;
+  padding: 0;
+  white-space: pre;
+  word-wrap: normal; }
+
+.content sup,
+.content sub {
+  font-size: 75%; }
+
+.content table {
+  width: 100%; }
+  .content table td,
+  .content table th {
+    border: 1px solid #dbdbdb;
+    border-width: 0 0 1px;
+    padding: 0.5em 0.75em;
+    vertical-align: top; }
+  .content table th {
+    color: #222222; }
+    .content table th:not([align]) {
+      text-align: left; }
+  .content table thead td,
+  .content table thead th {
+    border-width: 0 0 2px;
+    color: #222222; }
+  .content table tfoot td,
+  .content table tfoot th {
+    border-width: 2px 0 0;
+    color: #222222; }
+  .content table tbody tr:last-child td,
+  .content table tbody tr:last-child th {
+    border-bottom-width: 0; }
+
+.content .tabs li + li {
+  margin-top: 0; }
+
+.content.is-small, #documenter .docs-sidebar form.docs-search > input.content {
+  font-size: 0.75rem; }
+
+.content.is-medium {
+  font-size: 1.25rem; }
+
+.content.is-large {
+  font-size: 1.5rem; }
+
+.icon {
+  align-items: center;
+  display: inline-flex;
+  justify-content: center;
+  height: 1.5rem;
+  width: 1.5rem; }
+  .icon.is-small, #documenter .docs-sidebar form.docs-search > input.icon {
+    height: 1rem;
+    width: 1rem; }
+  .icon.is-medium {
+    height: 2rem;
+    width: 2rem; }
+  .icon.is-large {
+    height: 3rem;
+    width: 3rem; }
+
+.image, #documenter .docs-sidebar .docs-logo > img {
+  display: block;
+  position: relative; }
+  .image img, #documenter .docs-sidebar .docs-logo > img img {
+    display: block;
+    height: auto;
+    width: 100%; }
+    .image img.is-rounded, #documenter .docs-sidebar .docs-logo > img img.is-rounded {
+      border-radius: 290486px; }
+  .image.is-square img, #documenter .docs-sidebar .docs-logo > img.is-square img,
+  .image.is-square .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, .image.is-1by1 img, #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+  .image.is-1by1 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, .image.is-5by4 img, #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+  .image.is-5by4 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, .image.is-4by3 img, #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+  .image.is-4by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, .image.is-3by2 img, #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+  .image.is-3by2 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, .image.is-5by3 img, #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+  .image.is-5by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, .image.is-16by9 img, #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+  .image.is-16by9 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, .image.is-2by1 img, #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+  .image.is-2by1 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, .image.is-3by1 img, #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+  .image.is-3by1 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, .image.is-4by5 img, #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+  .image.is-4by5 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, .image.is-3by4 img, #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+  .image.is-3by4 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, .image.is-2by3 img, #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+  .image.is-2by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, .image.is-3by5 img, #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+  .image.is-3by5 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, .image.is-9by16 img, #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+  .image.is-9by16 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, .image.is-1by2 img, #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+  .image.is-1by2 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, .image.is-1by3 img, #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+  .image.is-1by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio {
+    height: 100%;
+    width: 100%; }
+  .image.is-square, #documenter .docs-sidebar .docs-logo > img.is-square, .image.is-1by1, #documenter .docs-sidebar .docs-logo > img.is-1by1 {
+    padding-top: 100%; }
+  .image.is-5by4, #documenter .docs-sidebar .docs-logo > img.is-5by4 {
+    padding-top: 80%; }
+  .image.is-4by3, #documenter .docs-sidebar .docs-logo > img.is-4by3 {
+    padding-top: 75%; }
+  .image.is-3by2, #documenter .docs-sidebar .docs-logo > img.is-3by2 {
+    padding-top: 66.6666%; }
+  .image.is-5by3, #documenter .docs-sidebar .docs-logo > img.is-5by3 {
+    padding-top: 60%; }
+  .image.is-16by9, #documenter .docs-sidebar .docs-logo > img.is-16by9 {
+    padding-top: 56.25%; }
+  .image.is-2by1, #documenter .docs-sidebar .docs-logo > img.is-2by1 {
+    padding-top: 50%; }
+  .image.is-3by1, #documenter .docs-sidebar .docs-logo > img.is-3by1 {
+    padding-top: 33.3333%; }
+  .image.is-4by5, #documenter .docs-sidebar .docs-logo > img.is-4by5 {
+    padding-top: 125%; }
+  .image.is-3by4, #documenter .docs-sidebar .docs-logo > img.is-3by4 {
+    padding-top: 133.3333%; }
+  .image.is-2by3, #documenter .docs-sidebar .docs-logo > img.is-2by3 {
+    padding-top: 150%; }
+  .image.is-3by5, #documenter .docs-sidebar .docs-logo > img.is-3by5 {
+    padding-top: 166.6666%; }
+  .image.is-9by16, #documenter .docs-sidebar .docs-logo > img.is-9by16 {
+    padding-top: 177.7777%; }
+  .image.is-1by2, #documenter .docs-sidebar .docs-logo > img.is-1by2 {
+    padding-top: 200%; }
+  .image.is-1by3, #documenter .docs-sidebar .docs-logo > img.is-1by3 {
+    padding-top: 300%; }
+  .image.is-16x16, #documenter .docs-sidebar .docs-logo > img.is-16x16 {
+    height: 16px;
+    width: 16px; }
+  .image.is-24x24, #documenter .docs-sidebar .docs-logo > img.is-24x24 {
+    height: 24px;
+    width: 24px; }
+  .image.is-32x32, #documenter .docs-sidebar .docs-logo > img.is-32x32 {
+    height: 32px;
+    width: 32px; }
+  .image.is-48x48, #documenter .docs-sidebar .docs-logo > img.is-48x48 {
+    height: 48px;
+    width: 48px; }
+  .image.is-64x64, #documenter .docs-sidebar .docs-logo > img.is-64x64 {
+    height: 64px;
+    width: 64px; }
+  .image.is-96x96, #documenter .docs-sidebar .docs-logo > img.is-96x96 {
+    height: 96px;
+    width: 96px; }
+  .image.is-128x128, #documenter .docs-sidebar .docs-logo > img.is-128x128 {
+    height: 128px;
+    width: 128px; }
+
+.notification {
+  background-color: whitesmoke;
+  border-radius: 4px;
+  padding: 1.25rem 2.5rem 1.25rem 1.5rem;
+  position: relative; }
+  .notification a:not(.button):not(.dropdown-item) {
+    color: currentColor;
+    text-decoration: underline; }
+  .notification strong {
+    color: currentColor; }
+  .notification code,
+  .notification pre {
+    background: white; }
+  .notification pre code {
+    background: transparent; }
+  .notification > .delete {
+    position: absolute;
+    right: 0.5rem;
+    top: 0.5rem; }
+  .notification .title,
+  .notification .subtitle,
+  .notification .content {
+    color: currentColor; }
+  .notification.is-white {
+    background-color: white;
+    color: #0a0a0a; }
+  .notification.is-black {
+    background-color: #0a0a0a;
+    color: white; }
+  .notification.is-light {
+    background-color: whitesmoke;
+    color: #363636; }
+  .notification.is-dark, .content kbd.notification {
+    background-color: #363636;
+    color: whitesmoke; }
+  .notification.is-primary, .docstring > section > a.notification.docs-sourcelink {
+    background-color: #4eb5de;
+    color: #fff; }
+  .notification.is-link {
+    background-color: #2e63b8;
+    color: #fff; }
+  .notification.is-info {
+    background-color: #209cee;
+    color: #fff; }
+  .notification.is-success {
+    background-color: #22c35b;
+    color: #fff; }
+  .notification.is-warning {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+  .notification.is-danger {
+    background-color: #da0b00;
+    color: #fff; }
+
+.progress {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  border: none;
+  border-radius: 290486px;
+  display: block;
+  height: 1rem;
+  overflow: hidden;
+  padding: 0;
+  width: 100%; }
+  .progress::-webkit-progress-bar {
+    background-color: #dbdbdb; }
+  .progress::-webkit-progress-value {
+    background-color: #222222; }
+  .progress::-moz-progress-bar {
+    background-color: #222222; }
+  .progress::-ms-fill {
+    background-color: #222222;
+    border: none; }
+  .progress.is-white::-webkit-progress-value {
+    background-color: white; }
+  .progress.is-white::-moz-progress-bar {
+    background-color: white; }
+  .progress.is-white::-ms-fill {
+    background-color: white; }
+  .progress.is-white:indeterminate {
+    background-image: linear-gradient(to right, white 30%, #dbdbdb 30%); }
+  .progress.is-black::-webkit-progress-value {
+    background-color: #0a0a0a; }
+  .progress.is-black::-moz-progress-bar {
+    background-color: #0a0a0a; }
+  .progress.is-black::-ms-fill {
+    background-color: #0a0a0a; }
+  .progress.is-black:indeterminate {
+    background-image: linear-gradient(to right, #0a0a0a 30%, #dbdbdb 30%); }
+  .progress.is-light::-webkit-progress-value {
+    background-color: whitesmoke; }
+  .progress.is-light::-moz-progress-bar {
+    background-color: whitesmoke; }
+  .progress.is-light::-ms-fill {
+    background-color: whitesmoke; }
+  .progress.is-light:indeterminate {
+    background-image: linear-gradient(to right, whitesmoke 30%, #dbdbdb 30%); }
+  .progress.is-dark::-webkit-progress-value, .content kbd.progress::-webkit-progress-value {
+    background-color: #363636; }
+  .progress.is-dark::-moz-progress-bar, .content kbd.progress::-moz-progress-bar {
+    background-color: #363636; }
+  .progress.is-dark::-ms-fill, .content kbd.progress::-ms-fill {
+    background-color: #363636; }
+  .progress.is-dark:indeterminate, .content kbd.progress:indeterminate {
+    background-image: linear-gradient(to right, #363636 30%, #dbdbdb 30%); }
+  .progress.is-primary::-webkit-progress-value, .docstring > section > a.progress.docs-sourcelink::-webkit-progress-value {
+    background-color: #4eb5de; }
+  .progress.is-primary::-moz-progress-bar, .docstring > section > a.progress.docs-sourcelink::-moz-progress-bar {
+    background-color: #4eb5de; }
+  .progress.is-primary::-ms-fill, .docstring > section > a.progress.docs-sourcelink::-ms-fill {
+    background-color: #4eb5de; }
+  .progress.is-primary:indeterminate, .docstring > section > a.progress.docs-sourcelink:indeterminate {
+    background-image: linear-gradient(to right, #4eb5de 30%, #dbdbdb 30%); }
+  .progress.is-link::-webkit-progress-value {
+    background-color: #2e63b8; }
+  .progress.is-link::-moz-progress-bar {
+    background-color: #2e63b8; }
+  .progress.is-link::-ms-fill {
+    background-color: #2e63b8; }
+  .progress.is-link:indeterminate {
+    background-image: linear-gradient(to right, #2e63b8 30%, #dbdbdb 30%); }
+  .progress.is-info::-webkit-progress-value {
+    background-color: #209cee; }
+  .progress.is-info::-moz-progress-bar {
+    background-color: #209cee; }
+  .progress.is-info::-ms-fill {
+    background-color: #209cee; }
+  .progress.is-info:indeterminate {
+    background-image: linear-gradient(to right, #209cee 30%, #dbdbdb 30%); }
+  .progress.is-success::-webkit-progress-value {
+    background-color: #22c35b; }
+  .progress.is-success::-moz-progress-bar {
+    background-color: #22c35b; }
+  .progress.is-success::-ms-fill {
+    background-color: #22c35b; }
+  .progress.is-success:indeterminate {
+    background-image: linear-gradient(to right, #22c35b 30%, #dbdbdb 30%); }
+  .progress.is-warning::-webkit-progress-value {
+    background-color: #ffdd57; }
+  .progress.is-warning::-moz-progress-bar {
+    background-color: #ffdd57; }
+  .progress.is-warning::-ms-fill {
+    background-color: #ffdd57; }
+  .progress.is-warning:indeterminate {
+    background-image: linear-gradient(to right, #ffdd57 30%, #dbdbdb 30%); }
+  .progress.is-danger::-webkit-progress-value {
+    background-color: #da0b00; }
+  .progress.is-danger::-moz-progress-bar {
+    background-color: #da0b00; }
+  .progress.is-danger::-ms-fill {
+    background-color: #da0b00; }
+  .progress.is-danger:indeterminate {
+    background-image: linear-gradient(to right, #da0b00 30%, #dbdbdb 30%); }
+  .progress:indeterminate {
+    animation-duration: 1.5s;
+    animation-iteration-count: infinite;
+    animation-name: moveIndeterminate;
+    animation-timing-function: linear;
+    background-color: #dbdbdb;
+    background-image: linear-gradient(to right, #222222 30%, #dbdbdb 30%);
+    background-position: top left;
+    background-repeat: no-repeat;
+    background-size: 150% 150%; }
+    .progress:indeterminate::-webkit-progress-bar {
+      background-color: transparent; }
+    .progress:indeterminate::-moz-progress-bar {
+      background-color: transparent; }
+  .progress.is-small, #documenter .docs-sidebar form.docs-search > input.progress {
+    height: 0.75rem; }
+  .progress.is-medium {
+    height: 1.25rem; }
+  .progress.is-large {
+    height: 1.5rem; }
+
+@keyframes moveIndeterminate {
+  from {
+    background-position: 200% 0; }
+  to {
+    background-position: -200% 0; } }
+
+.table {
+  background-color: white;
+  color: #363636; }
+  .table td,
+  .table th {
+    border: 1px solid #dbdbdb;
+    border-width: 0 0 1px;
+    padding: 0.5em 0.75em;
+    vertical-align: top; }
+    .table td.is-white,
+    .table th.is-white {
+      background-color: white;
+      border-color: white;
+      color: #0a0a0a; }
+    .table td.is-black,
+    .table th.is-black {
+      background-color: #0a0a0a;
+      border-color: #0a0a0a;
+      color: white; }
+    .table td.is-light,
+    .table th.is-light {
+      background-color: whitesmoke;
+      border-color: whitesmoke;
+      color: #363636; }
+    .table td.is-dark,
+    .table th.is-dark {
+      background-color: #363636;
+      border-color: #363636;
+      color: whitesmoke; }
+    .table td.is-primary,
+    .table th.is-primary {
+      background-color: #4eb5de;
+      border-color: #4eb5de;
+      color: #fff; }
+    .table td.is-link,
+    .table th.is-link {
+      background-color: #2e63b8;
+      border-color: #2e63b8;
+      color: #fff; }
+    .table td.is-info,
+    .table th.is-info {
+      background-color: #209cee;
+      border-color: #209cee;
+      color: #fff; }
+    .table td.is-success,
+    .table th.is-success {
+      background-color: #22c35b;
+      border-color: #22c35b;
+      color: #fff; }
+    .table td.is-warning,
+    .table th.is-warning {
+      background-color: #ffdd57;
+      border-color: #ffdd57;
+      color: rgba(0, 0, 0, 0.7); }
+    .table td.is-danger,
+    .table th.is-danger {
+      background-color: #da0b00;
+      border-color: #da0b00;
+      color: #fff; }
+    .table td.is-narrow,
+    .table th.is-narrow {
+      white-space: nowrap;
+      width: 1%; }
+    .table td.is-selected,
+    .table th.is-selected {
+      background-color: #4eb5de;
+      color: #fff; }
+      .table td.is-selected a,
+      .table td.is-selected strong,
+      .table th.is-selected a,
+      .table th.is-selected strong {
+        color: currentColor; }
+  .table th {
+    color: #222222; }
+    .table th:not([align]) {
+      text-align: left; }
+  .table tr.is-selected {
+    background-color: #4eb5de;
+    color: #fff; }
+    .table tr.is-selected a,
+    .table tr.is-selected strong {
+      color: currentColor; }
+    .table tr.is-selected td,
+    .table tr.is-selected th {
+      border-color: #fff;
+      color: currentColor; }
+  .table thead {
+    background-color: transparent; }
+    .table thead td,
+    .table thead th {
+      border-width: 0 0 2px;
+      color: #222222; }
+  .table tfoot {
+    background-color: transparent; }
+    .table tfoot td,
+    .table tfoot th {
+      border-width: 2px 0 0;
+      color: #222222; }
+  .table tbody {
+    background-color: transparent; }
+    .table tbody tr:last-child td,
+    .table tbody tr:last-child th {
+      border-bottom-width: 0; }
+  .table.is-bordered td,
+  .table.is-bordered th {
+    border-width: 1px; }
+  .table.is-bordered tr:last-child td,
+  .table.is-bordered tr:last-child th {
+    border-bottom-width: 1px; }
+  .table.is-fullwidth {
+    width: 100%; }
+  .table.is-hoverable tbody tr:not(.is-selected):hover {
+    background-color: #fafafa; }
+  .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover {
+    background-color: #fafafa; }
+    .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover:nth-child(even) {
+      background-color: whitesmoke; }
+  .table.is-narrow td,
+  .table.is-narrow th {
+    padding: 0.25em 0.5em; }
+  .table.is-striped tbody tr:not(.is-selected):nth-child(even) {
+    background-color: #fafafa; }
+
+.table-container {
+  -webkit-overflow-scrolling: touch;
+  overflow: auto;
+  overflow-y: hidden;
+  max-width: 100%; }
+
+.tags {
+  align-items: center;
+  display: flex;
+  flex-wrap: wrap;
+  justify-content: flex-start; }
+  .tags .tag, .tags .content kbd, .content .tags kbd, .tags .docstring > section > a.docs-sourcelink {
+    margin-bottom: 0.5rem; }
+    .tags .tag:not(:last-child), .tags .content kbd:not(:last-child), .content .tags kbd:not(:last-child), .tags .docstring > section > a.docs-sourcelink:not(:last-child) {
+      margin-right: 0.5rem; }
+  .tags:last-child {
+    margin-bottom: -0.5rem; }
+  .tags:not(:last-child) {
+    margin-bottom: 1rem; }
+  .tags.are-medium .tag:not(.is-normal):not(.is-large), .tags.are-medium .content kbd:not(.is-normal):not(.is-large), .content .tags.are-medium kbd:not(.is-normal):not(.is-large), .tags.are-medium .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-large) {
+    font-size: 1rem; }
+  .tags.are-large .tag:not(.is-normal):not(.is-medium), .tags.are-large .content kbd:not(.is-normal):not(.is-medium), .content .tags.are-large kbd:not(.is-normal):not(.is-medium), .tags.are-large .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-medium) {
+    font-size: 1.25rem; }
+  .tags.is-centered {
+    justify-content: center; }
+    .tags.is-centered .tag, .tags.is-centered .content kbd, .content .tags.is-centered kbd, .tags.is-centered .docstring > section > a.docs-sourcelink {
+      margin-right: 0.25rem;
+      margin-left: 0.25rem; }
+  .tags.is-right {
+    justify-content: flex-end; }
+    .tags.is-right .tag:not(:first-child), .tags.is-right .content kbd:not(:first-child), .content .tags.is-right kbd:not(:first-child), .tags.is-right .docstring > section > a.docs-sourcelink:not(:first-child) {
+      margin-left: 0.5rem; }
+    .tags.is-right .tag:not(:last-child), .tags.is-right .content kbd:not(:last-child), .content .tags.is-right kbd:not(:last-child), .tags.is-right .docstring > section > a.docs-sourcelink:not(:last-child) {
+      margin-right: 0; }
+  .tags.has-addons .tag, .tags.has-addons .content kbd, .content .tags.has-addons kbd, .tags.has-addons .docstring > section > a.docs-sourcelink {
+    margin-right: 0; }
+    .tags.has-addons .tag:not(:first-child), .tags.has-addons .content kbd:not(:first-child), .content .tags.has-addons kbd:not(:first-child), .tags.has-addons .docstring > section > a.docs-sourcelink:not(:first-child) {
+      margin-left: 0;
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    .tags.has-addons .tag:not(:last-child), .tags.has-addons .content kbd:not(:last-child), .content .tags.has-addons kbd:not(:last-child), .tags.has-addons .docstring > section > a.docs-sourcelink:not(:last-child) {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0; }
+
+.tag:not(body), .content kbd:not(body), .docstring > section > a.docs-sourcelink:not(body) {
+  align-items: center;
+  background-color: whitesmoke;
+  border-radius: 4px;
+  color: #222222;
+  display: inline-flex;
+  font-size: 0.75rem;
+  height: 2em;
+  justify-content: center;
+  line-height: 1.5;
+  padding-left: 0.75em;
+  padding-right: 0.75em;
+  white-space: nowrap; }
+  .tag:not(body) .delete, .content kbd:not(body) .delete, .docstring > section > a.docs-sourcelink:not(body) .delete {
+    margin-left: 0.25rem;
+    margin-right: -0.375rem; }
+  .tag.is-white:not(body), .content kbd.is-white:not(body), .docstring > section > a.docs-sourcelink.is-white:not(body) {
+    background-color: white;
+    color: #0a0a0a; }
+  .tag.is-black:not(body), .content kbd.is-black:not(body), .docstring > section > a.docs-sourcelink.is-black:not(body) {
+    background-color: #0a0a0a;
+    color: white; }
+  .tag.is-light:not(body), .content kbd.is-light:not(body), .docstring > section > a.docs-sourcelink.is-light:not(body) {
+    background-color: whitesmoke;
+    color: #363636; }
+  .tag.is-dark:not(body), .content kbd:not(body), .docstring > section > a.docs-sourcelink.is-dark:not(body), .content .docstring > section > kbd:not(body) {
+    background-color: #363636;
+    color: whitesmoke; }
+  .tag.is-primary:not(body), .content kbd.is-primary:not(body), .docstring > section > a.docs-sourcelink:not(body) {
+    background-color: #4eb5de;
+    color: #fff; }
+  .tag.is-link:not(body), .content kbd.is-link:not(body), .docstring > section > a.docs-sourcelink.is-link:not(body) {
+    background-color: #2e63b8;
+    color: #fff; }
+  .tag.is-info:not(body), .content kbd.is-info:not(body), .docstring > section > a.docs-sourcelink.is-info:not(body) {
+    background-color: #209cee;
+    color: #fff; }
+  .tag.is-success:not(body), .content kbd.is-success:not(body), .docstring > section > a.docs-sourcelink.is-success:not(body) {
+    background-color: #22c35b;
+    color: #fff; }
+  .tag.is-warning:not(body), .content kbd.is-warning:not(body), .docstring > section > a.docs-sourcelink.is-warning:not(body) {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+  .tag.is-danger:not(body), .content kbd.is-danger:not(body), .docstring > section > a.docs-sourcelink.is-danger:not(body) {
+    background-color: #da0b00;
+    color: #fff; }
+  .tag.is-normal:not(body), .content kbd.is-normal:not(body), .docstring > section > a.docs-sourcelink.is-normal:not(body) {
+    font-size: 0.75rem; }
+  .tag.is-medium:not(body), .content kbd.is-medium:not(body), .docstring > section > a.docs-sourcelink.is-medium:not(body) {
+    font-size: 1rem; }
+  .tag.is-large:not(body), .content kbd.is-large:not(body), .docstring > section > a.docs-sourcelink.is-large:not(body) {
+    font-size: 1.25rem; }
+  .tag:not(body) .icon:first-child:not(:last-child), .content kbd:not(body) .icon:first-child:not(:last-child), .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:not(:last-child) {
+    margin-left: -0.375em;
+    margin-right: 0.1875em; }
+  .tag:not(body) .icon:last-child:not(:first-child), .content kbd:not(body) .icon:last-child:not(:first-child), .docstring > section > a.docs-sourcelink:not(body) .icon:last-child:not(:first-child) {
+    margin-left: 0.1875em;
+    margin-right: -0.375em; }
+  .tag:not(body) .icon:first-child:last-child, .content kbd:not(body) .icon:first-child:last-child, .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:last-child {
+    margin-left: -0.375em;
+    margin-right: -0.375em; }
+  .tag.is-delete:not(body), .content kbd.is-delete:not(body), .docstring > section > a.docs-sourcelink.is-delete:not(body) {
+    margin-left: 1px;
+    padding: 0;
+    position: relative;
+    width: 2em; }
+    .tag.is-delete:not(body)::before, .content kbd.is-delete:not(body)::before, .docstring > section > a.docs-sourcelink.is-delete:not(body)::before, .tag.is-delete:not(body)::after, .content kbd.is-delete:not(body)::after, .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+      background-color: currentColor;
+      content: "";
+      display: block;
+      left: 50%;
+      position: absolute;
+      top: 50%;
+      transform: translateX(-50%) translateY(-50%) rotate(45deg);
+      transform-origin: center center; }
+    .tag.is-delete:not(body)::before, .content kbd.is-delete:not(body)::before, .docstring > section > a.docs-sourcelink.is-delete:not(body)::before {
+      height: 1px;
+      width: 50%; }
+    .tag.is-delete:not(body)::after, .content kbd.is-delete:not(body)::after, .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+      height: 50%;
+      width: 1px; }
+    .tag.is-delete:not(body):hover, .content kbd.is-delete:not(body):hover, .docstring > section > a.docs-sourcelink.is-delete:not(body):hover, .tag.is-delete:not(body):focus, .content kbd.is-delete:not(body):focus, .docstring > section > a.docs-sourcelink.is-delete:not(body):focus {
+      background-color: #e8e8e8; }
+    .tag.is-delete:not(body):active, .content kbd.is-delete:not(body):active, .docstring > section > a.docs-sourcelink.is-delete:not(body):active {
+      background-color: #dbdbdb; }
+  .tag.is-rounded:not(body), #documenter .docs-sidebar form.docs-search > input:not(body), .content kbd.is-rounded:not(body), #documenter .docs-sidebar .content form.docs-search > input:not(body), .docstring > section > a.docs-sourcelink.is-rounded:not(body) {
+    border-radius: 290486px; }
+
+a.tag:hover, .docstring > section > a.docs-sourcelink:hover {
+  text-decoration: underline; }
+
+.title,
+.subtitle {
+  word-break: break-word; }
+  .title em,
+  .title span,
+  .subtitle em,
+  .subtitle span {
+    font-weight: inherit; }
+  .title sub,
+  .subtitle sub {
+    font-size: 0.75em; }
+  .title sup,
+  .subtitle sup {
+    font-size: 0.75em; }
+  .title .tag, .title .content kbd, .content .title kbd, .title .docstring > section > a.docs-sourcelink,
+  .subtitle .tag,
+  .subtitle .content kbd,
+  .content .subtitle kbd,
+  .subtitle .docstring > section > a.docs-sourcelink {
+    vertical-align: middle; }
+
+.title {
+  color: #363636;
+  font-size: 2rem;
+  font-weight: 600;
+  line-height: 1.125; }
+  .title strong {
+    color: inherit;
+    font-weight: inherit; }
+  .title + .highlight {
+    margin-top: -0.75rem; }
+  .title:not(.is-spaced) + .subtitle {
+    margin-top: -1.25rem; }
+  .title.is-1 {
+    font-size: 3rem; }
+  .title.is-2 {
+    font-size: 2.5rem; }
+  .title.is-3 {
+    font-size: 2rem; }
+  .title.is-4 {
+    font-size: 1.5rem; }
+  .title.is-5 {
+    font-size: 1.25rem; }
+  .title.is-6 {
+    font-size: 1rem; }
+  .title.is-7 {
+    font-size: 0.75rem; }
+
+.subtitle {
+  color: #4a4a4a;
+  font-size: 1.25rem;
+  font-weight: 400;
+  line-height: 1.25; }
+  .subtitle strong {
+    color: #363636;
+    font-weight: 600; }
+  .subtitle:not(.is-spaced) + .title {
+    margin-top: -1.25rem; }
+  .subtitle.is-1 {
+    font-size: 3rem; }
+  .subtitle.is-2 {
+    font-size: 2.5rem; }
+  .subtitle.is-3 {
+    font-size: 2rem; }
+  .subtitle.is-4 {
+    font-size: 1.5rem; }
+  .subtitle.is-5 {
+    font-size: 1.25rem; }
+  .subtitle.is-6 {
+    font-size: 1rem; }
+  .subtitle.is-7 {
+    font-size: 0.75rem; }
+
+.heading {
+  display: block;
+  font-size: 11px;
+  letter-spacing: 1px;
+  margin-bottom: 5px;
+  text-transform: uppercase; }
+
+.highlight {
+  font-weight: 400;
+  max-width: 100%;
+  overflow: hidden;
+  padding: 0; }
+  .highlight pre {
+    overflow: auto;
+    max-width: 100%; }
+
+.number {
+  align-items: center;
+  background-color: whitesmoke;
+  border-radius: 290486px;
+  display: inline-flex;
+  font-size: 1.25rem;
+  height: 2em;
+  justify-content: center;
+  margin-right: 1.5rem;
+  min-width: 2.5em;
+  padding: 0.25rem 0.5rem;
+  text-align: center;
+  vertical-align: top; }
+
+.select select, .textarea, .input, #documenter .docs-sidebar form.docs-search > input {
+  background-color: white;
+  border-color: #dbdbdb;
+  border-radius: 4px;
+  color: #363636; }
+  .select select::-moz-placeholder, .textarea::-moz-placeholder, .input::-moz-placeholder, #documenter .docs-sidebar form.docs-search > input::-moz-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select::-webkit-input-placeholder, .textarea::-webkit-input-placeholder, .input::-webkit-input-placeholder, #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select:-moz-placeholder, .textarea:-moz-placeholder, .input:-moz-placeholder, #documenter .docs-sidebar form.docs-search > input:-moz-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select:-ms-input-placeholder, .textarea:-ms-input-placeholder, .input:-ms-input-placeholder, #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select:hover, .textarea:hover, .input:hover, #documenter .docs-sidebar form.docs-search > input:hover, .select select.is-hovered, .is-hovered.textarea, .is-hovered.input, #documenter .docs-sidebar form.docs-search > input.is-hovered {
+    border-color: #b5b5b5; }
+  .select select:focus, .textarea:focus, .input:focus, #documenter .docs-sidebar form.docs-search > input:focus, .select select.is-focused, .is-focused.textarea, .is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .select select:active, .textarea:active, .input:active, #documenter .docs-sidebar form.docs-search > input:active, .select select.is-active, .is-active.textarea, .is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+    border-color: #2e63b8;
+    box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .select select[disabled], .textarea[disabled], .input[disabled], #documenter .docs-sidebar form.docs-search > input[disabled], fieldset[disabled] .select select, .select fieldset[disabled] select, fieldset[disabled] .textarea, fieldset[disabled] .input, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input {
+    background-color: whitesmoke;
+    border-color: whitesmoke;
+    box-shadow: none;
+    color: #6b6b6b; }
+    .select select[disabled]::-moz-placeholder, .textarea[disabled]::-moz-placeholder, .input[disabled]::-moz-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]::-moz-placeholder, fieldset[disabled] .select select::-moz-placeholder, .select fieldset[disabled] select::-moz-placeholder, fieldset[disabled] .textarea::-moz-placeholder, fieldset[disabled] .input::-moz-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input::-moz-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input::-moz-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+    .select select[disabled]::-webkit-input-placeholder, .textarea[disabled]::-webkit-input-placeholder, .input[disabled]::-webkit-input-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]::-webkit-input-placeholder, fieldset[disabled] .select select::-webkit-input-placeholder, .select fieldset[disabled] select::-webkit-input-placeholder, fieldset[disabled] .textarea::-webkit-input-placeholder, fieldset[disabled] .input::-webkit-input-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input::-webkit-input-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+    .select select[disabled]:-moz-placeholder, .textarea[disabled]:-moz-placeholder, .input[disabled]:-moz-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]:-moz-placeholder, fieldset[disabled] .select select:-moz-placeholder, .select fieldset[disabled] select:-moz-placeholder, fieldset[disabled] .textarea:-moz-placeholder, fieldset[disabled] .input:-moz-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input:-moz-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input:-moz-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+    .select select[disabled]:-ms-input-placeholder, .textarea[disabled]:-ms-input-placeholder, .input[disabled]:-ms-input-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]:-ms-input-placeholder, fieldset[disabled] .select select:-ms-input-placeholder, .select fieldset[disabled] select:-ms-input-placeholder, fieldset[disabled] .textarea:-ms-input-placeholder, fieldset[disabled] .input:-ms-input-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input:-ms-input-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+
+.textarea, .input, #documenter .docs-sidebar form.docs-search > input {
+  box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.1);
+  max-width: 100%;
+  width: 100%; }
+  .textarea[readonly], .input[readonly], #documenter .docs-sidebar form.docs-search > input[readonly] {
+    box-shadow: none; }
+  .is-white.textarea, .is-white.input, #documenter .docs-sidebar form.docs-search > input.is-white {
+    border-color: white; }
+    .is-white.textarea:focus, .is-white.input:focus, #documenter .docs-sidebar form.docs-search > input.is-white:focus, .is-white.is-focused.textarea, .is-white.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-white.textarea:active, .is-white.input:active, #documenter .docs-sidebar form.docs-search > input.is-white:active, .is-white.is-active.textarea, .is-white.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+  .is-black.textarea, .is-black.input, #documenter .docs-sidebar form.docs-search > input.is-black {
+    border-color: #0a0a0a; }
+    .is-black.textarea:focus, .is-black.input:focus, #documenter .docs-sidebar form.docs-search > input.is-black:focus, .is-black.is-focused.textarea, .is-black.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-black.textarea:active, .is-black.input:active, #documenter .docs-sidebar form.docs-search > input.is-black:active, .is-black.is-active.textarea, .is-black.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+  .is-light.textarea, .is-light.input, #documenter .docs-sidebar form.docs-search > input.is-light {
+    border-color: whitesmoke; }
+    .is-light.textarea:focus, .is-light.input:focus, #documenter .docs-sidebar form.docs-search > input.is-light:focus, .is-light.is-focused.textarea, .is-light.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-light.textarea:active, .is-light.input:active, #documenter .docs-sidebar form.docs-search > input.is-light:active, .is-light.is-active.textarea, .is-light.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); }
+  .is-dark.textarea, .content kbd.textarea, .is-dark.input, #documenter .docs-sidebar form.docs-search > input.is-dark, .content kbd.input {
+    border-color: #363636; }
+    .is-dark.textarea:focus, .content kbd.textarea:focus, .is-dark.input:focus, #documenter .docs-sidebar form.docs-search > input.is-dark:focus, .content kbd.input:focus, .is-dark.is-focused.textarea, .content kbd.is-focused.textarea, .is-dark.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .content kbd.is-focused.input, #documenter .docs-sidebar .content form.docs-search > input.is-focused, .is-dark.textarea:active, .content kbd.textarea:active, .is-dark.input:active, #documenter .docs-sidebar form.docs-search > input.is-dark:active, .content kbd.input:active, .is-dark.is-active.textarea, .content kbd.is-active.textarea, .is-dark.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .content kbd.is-active.input, #documenter .docs-sidebar .content form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); }
+  .is-primary.textarea, .docstring > section > a.textarea.docs-sourcelink, .is-primary.input, #documenter .docs-sidebar form.docs-search > input.is-primary, .docstring > section > a.input.docs-sourcelink {
+    border-color: #4eb5de; }
+    .is-primary.textarea:focus, .docstring > section > a.textarea.docs-sourcelink:focus, .is-primary.input:focus, #documenter .docs-sidebar form.docs-search > input.is-primary:focus, .docstring > section > a.input.docs-sourcelink:focus, .is-primary.is-focused.textarea, .docstring > section > a.is-focused.textarea.docs-sourcelink, .is-primary.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .docstring > section > a.is-focused.input.docs-sourcelink, .is-primary.textarea:active, .docstring > section > a.textarea.docs-sourcelink:active, .is-primary.input:active, #documenter .docs-sidebar form.docs-search > input.is-primary:active, .docstring > section > a.input.docs-sourcelink:active, .is-primary.is-active.textarea, .docstring > section > a.is-active.textarea.docs-sourcelink, .is-primary.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .docstring > section > a.is-active.input.docs-sourcelink {
+      box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); }
+  .is-link.textarea, .is-link.input, #documenter .docs-sidebar form.docs-search > input.is-link {
+    border-color: #2e63b8; }
+    .is-link.textarea:focus, .is-link.input:focus, #documenter .docs-sidebar form.docs-search > input.is-link:focus, .is-link.is-focused.textarea, .is-link.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-link.textarea:active, .is-link.input:active, #documenter .docs-sidebar form.docs-search > input.is-link:active, .is-link.is-active.textarea, .is-link.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .is-info.textarea, .is-info.input, #documenter .docs-sidebar form.docs-search > input.is-info {
+    border-color: #209cee; }
+    .is-info.textarea:focus, .is-info.input:focus, #documenter .docs-sidebar form.docs-search > input.is-info:focus, .is-info.is-focused.textarea, .is-info.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-info.textarea:active, .is-info.input:active, #documenter .docs-sidebar form.docs-search > input.is-info:active, .is-info.is-active.textarea, .is-info.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); }
+  .is-success.textarea, .is-success.input, #documenter .docs-sidebar form.docs-search > input.is-success {
+    border-color: #22c35b; }
+    .is-success.textarea:focus, .is-success.input:focus, #documenter .docs-sidebar form.docs-search > input.is-success:focus, .is-success.is-focused.textarea, .is-success.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-success.textarea:active, .is-success.input:active, #documenter .docs-sidebar form.docs-search > input.is-success:active, .is-success.is-active.textarea, .is-success.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); }
+  .is-warning.textarea, .is-warning.input, #documenter .docs-sidebar form.docs-search > input.is-warning {
+    border-color: #ffdd57; }
+    .is-warning.textarea:focus, .is-warning.input:focus, #documenter .docs-sidebar form.docs-search > input.is-warning:focus, .is-warning.is-focused.textarea, .is-warning.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-warning.textarea:active, .is-warning.input:active, #documenter .docs-sidebar form.docs-search > input.is-warning:active, .is-warning.is-active.textarea, .is-warning.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); }
+  .is-danger.textarea, .is-danger.input, #documenter .docs-sidebar form.docs-search > input.is-danger {
+    border-color: #da0b00; }
+    .is-danger.textarea:focus, .is-danger.input:focus, #documenter .docs-sidebar form.docs-search > input.is-danger:focus, .is-danger.is-focused.textarea, .is-danger.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-danger.textarea:active, .is-danger.input:active, #documenter .docs-sidebar form.docs-search > input.is-danger:active, .is-danger.is-active.textarea, .is-danger.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); }
+  .is-small.textarea, .is-small.input, #documenter .docs-sidebar form.docs-search > input {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .is-medium.textarea, .is-medium.input, #documenter .docs-sidebar form.docs-search > input.is-medium {
+    font-size: 1.25rem; }
+  .is-large.textarea, .is-large.input, #documenter .docs-sidebar form.docs-search > input.is-large {
+    font-size: 1.5rem; }
+  .is-fullwidth.textarea, .is-fullwidth.input, #documenter .docs-sidebar form.docs-search > input.is-fullwidth {
+    display: block;
+    width: 100%; }
+  .is-inline.textarea, .is-inline.input, #documenter .docs-sidebar form.docs-search > input.is-inline {
+    display: inline;
+    width: auto; }
+
+.input.is-rounded, #documenter .docs-sidebar form.docs-search > input {
+  border-radius: 290486px;
+  padding-left: 1em;
+  padding-right: 1em; }
+
+.input.is-static, #documenter .docs-sidebar form.docs-search > input.is-static {
+  background-color: transparent;
+  border-color: transparent;
+  box-shadow: none;
+  padding-left: 0;
+  padding-right: 0; }
+
+.textarea {
+  display: block;
+  max-width: 100%;
+  min-width: 100%;
+  padding: 0.625em;
+  resize: vertical; }
+  .textarea:not([rows]) {
+    max-height: 600px;
+    min-height: 120px; }
+  .textarea[rows] {
+    height: initial; }
+  .textarea.has-fixed-size {
+    resize: none; }
+
+.radio, .checkbox {
+  cursor: pointer;
+  display: inline-block;
+  line-height: 1.25;
+  position: relative; }
+  .radio input, .checkbox input {
+    cursor: pointer; }
+  .radio:hover, .checkbox:hover {
+    color: #363636; }
+  .radio[disabled], .checkbox[disabled], fieldset[disabled] .radio, fieldset[disabled] .checkbox {
+    color: #6b6b6b;
+    cursor: not-allowed; }
+
+.radio + .radio {
+  margin-left: 0.5em; }
+
+.select {
+  display: inline-block;
+  max-width: 100%;
+  position: relative;
+  vertical-align: top; }
+  .select:not(.is-multiple) {
+    height: 2.25em; }
+  .select:not(.is-multiple):not(.is-loading)::after {
+    border-color: #2e63b8;
+    right: 1.125em;
+    z-index: 4; }
+  .select.is-rounded select, #documenter .docs-sidebar form.docs-search > input.select select {
+    border-radius: 290486px;
+    padding-left: 1em; }
+  .select select {
+    cursor: pointer;
+    display: block;
+    font-size: 1em;
+    max-width: 100%;
+    outline: none; }
+    .select select::-ms-expand {
+      display: none; }
+    .select select[disabled]:hover, fieldset[disabled] .select select:hover {
+      border-color: whitesmoke; }
+    .select select:not([multiple]) {
+      padding-right: 2.5em; }
+    .select select[multiple] {
+      height: auto;
+      padding: 0; }
+      .select select[multiple] option {
+        padding: 0.5em 1em; }
+  .select:not(.is-multiple):not(.is-loading):hover::after {
+    border-color: #363636; }
+  .select.is-white:not(:hover)::after {
+    border-color: white; }
+  .select.is-white select {
+    border-color: white; }
+    .select.is-white select:hover, .select.is-white select.is-hovered {
+      border-color: #f2f2f2; }
+    .select.is-white select:focus, .select.is-white select.is-focused, .select.is-white select:active, .select.is-white select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+  .select.is-black:not(:hover)::after {
+    border-color: #0a0a0a; }
+  .select.is-black select {
+    border-color: #0a0a0a; }
+    .select.is-black select:hover, .select.is-black select.is-hovered {
+      border-color: black; }
+    .select.is-black select:focus, .select.is-black select.is-focused, .select.is-black select:active, .select.is-black select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+  .select.is-light:not(:hover)::after {
+    border-color: whitesmoke; }
+  .select.is-light select {
+    border-color: whitesmoke; }
+    .select.is-light select:hover, .select.is-light select.is-hovered {
+      border-color: #e8e8e8; }
+    .select.is-light select:focus, .select.is-light select.is-focused, .select.is-light select:active, .select.is-light select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); }
+  .select.is-dark:not(:hover)::after, .content kbd.select:not(:hover)::after {
+    border-color: #363636; }
+  .select.is-dark select, .content kbd.select select {
+    border-color: #363636; }
+    .select.is-dark select:hover, .content kbd.select select:hover, .select.is-dark select.is-hovered, .content kbd.select select.is-hovered {
+      border-color: #292929; }
+    .select.is-dark select:focus, .content kbd.select select:focus, .select.is-dark select.is-focused, .content kbd.select select.is-focused, .select.is-dark select:active, .content kbd.select select:active, .select.is-dark select.is-active, .content kbd.select select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); }
+  .select.is-primary:not(:hover)::after, .docstring > section > a.select.docs-sourcelink:not(:hover)::after {
+    border-color: #4eb5de; }
+  .select.is-primary select, .docstring > section > a.select.docs-sourcelink select {
+    border-color: #4eb5de; }
+    .select.is-primary select:hover, .docstring > section > a.select.docs-sourcelink select:hover, .select.is-primary select.is-hovered, .docstring > section > a.select.docs-sourcelink select.is-hovered {
+      border-color: #39acda; }
+    .select.is-primary select:focus, .docstring > section > a.select.docs-sourcelink select:focus, .select.is-primary select.is-focused, .docstring > section > a.select.docs-sourcelink select.is-focused, .select.is-primary select:active, .docstring > section > a.select.docs-sourcelink select:active, .select.is-primary select.is-active, .docstring > section > a.select.docs-sourcelink select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); }
+  .select.is-link:not(:hover)::after {
+    border-color: #2e63b8; }
+  .select.is-link select {
+    border-color: #2e63b8; }
+    .select.is-link select:hover, .select.is-link select.is-hovered {
+      border-color: #2958a4; }
+    .select.is-link select:focus, .select.is-link select.is-focused, .select.is-link select:active, .select.is-link select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .select.is-info:not(:hover)::after {
+    border-color: #209cee; }
+  .select.is-info select {
+    border-color: #209cee; }
+    .select.is-info select:hover, .select.is-info select.is-hovered {
+      border-color: #1190e3; }
+    .select.is-info select:focus, .select.is-info select.is-focused, .select.is-info select:active, .select.is-info select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); }
+  .select.is-success:not(:hover)::after {
+    border-color: #22c35b; }
+  .select.is-success select {
+    border-color: #22c35b; }
+    .select.is-success select:hover, .select.is-success select.is-hovered {
+      border-color: #1ead51; }
+    .select.is-success select:focus, .select.is-success select.is-focused, .select.is-success select:active, .select.is-success select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); }
+  .select.is-warning:not(:hover)::after {
+    border-color: #ffdd57; }
+  .select.is-warning select {
+    border-color: #ffdd57; }
+    .select.is-warning select:hover, .select.is-warning select.is-hovered {
+      border-color: #ffd83e; }
+    .select.is-warning select:focus, .select.is-warning select.is-focused, .select.is-warning select:active, .select.is-warning select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); }
+  .select.is-danger:not(:hover)::after {
+    border-color: #da0b00; }
+  .select.is-danger select {
+    border-color: #da0b00; }
+    .select.is-danger select:hover, .select.is-danger select.is-hovered {
+      border-color: #c10a00; }
+    .select.is-danger select:focus, .select.is-danger select.is-focused, .select.is-danger select:active, .select.is-danger select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); }
+  .select.is-small, #documenter .docs-sidebar form.docs-search > input.select {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .select.is-medium {
+    font-size: 1.25rem; }
+  .select.is-large {
+    font-size: 1.5rem; }
+  .select.is-disabled::after {
+    border-color: #6b6b6b; }
+  .select.is-fullwidth {
+    width: 100%; }
+    .select.is-fullwidth select {
+      width: 100%; }
+  .select.is-loading::after {
+    margin-top: 0;
+    position: absolute;
+    right: 0.625em;
+    top: 0.625em;
+    transform: none; }
+  .select.is-loading.is-small:after, #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+    font-size: 0.75rem; }
+  .select.is-loading.is-medium:after {
+    font-size: 1.25rem; }
+  .select.is-loading.is-large:after {
+    font-size: 1.5rem; }
+
+.file {
+  align-items: stretch;
+  display: flex;
+  justify-content: flex-start;
+  position: relative; }
+  .file.is-white .file-cta {
+    background-color: white;
+    border-color: transparent;
+    color: #0a0a0a; }
+  .file.is-white:hover .file-cta, .file.is-white.is-hovered .file-cta {
+    background-color: #f9f9f9;
+    border-color: transparent;
+    color: #0a0a0a; }
+  .file.is-white:focus .file-cta, .file.is-white.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(255, 255, 255, 0.25);
+    color: #0a0a0a; }
+  .file.is-white:active .file-cta, .file.is-white.is-active .file-cta {
+    background-color: #f2f2f2;
+    border-color: transparent;
+    color: #0a0a0a; }
+  .file.is-black .file-cta {
+    background-color: #0a0a0a;
+    border-color: transparent;
+    color: white; }
+  .file.is-black:hover .file-cta, .file.is-black.is-hovered .file-cta {
+    background-color: #040404;
+    border-color: transparent;
+    color: white; }
+  .file.is-black:focus .file-cta, .file.is-black.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(10, 10, 10, 0.25);
+    color: white; }
+  .file.is-black:active .file-cta, .file.is-black.is-active .file-cta {
+    background-color: black;
+    border-color: transparent;
+    color: white; }
+  .file.is-light .file-cta {
+    background-color: whitesmoke;
+    border-color: transparent;
+    color: #363636; }
+  .file.is-light:hover .file-cta, .file.is-light.is-hovered .file-cta {
+    background-color: #eeeeee;
+    border-color: transparent;
+    color: #363636; }
+  .file.is-light:focus .file-cta, .file.is-light.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(245, 245, 245, 0.25);
+    color: #363636; }
+  .file.is-light:active .file-cta, .file.is-light.is-active .file-cta {
+    background-color: #e8e8e8;
+    border-color: transparent;
+    color: #363636; }
+  .file.is-dark .file-cta, .content kbd.file .file-cta {
+    background-color: #363636;
+    border-color: transparent;
+    color: whitesmoke; }
+  .file.is-dark:hover .file-cta, .content kbd.file:hover .file-cta, .file.is-dark.is-hovered .file-cta, .content kbd.file.is-hovered .file-cta {
+    background-color: #2f2f2f;
+    border-color: transparent;
+    color: whitesmoke; }
+  .file.is-dark:focus .file-cta, .content kbd.file:focus .file-cta, .file.is-dark.is-focused .file-cta, .content kbd.file.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(54, 54, 54, 0.25);
+    color: whitesmoke; }
+  .file.is-dark:active .file-cta, .content kbd.file:active .file-cta, .file.is-dark.is-active .file-cta, .content kbd.file.is-active .file-cta {
+    background-color: #292929;
+    border-color: transparent;
+    color: whitesmoke; }
+  .file.is-primary .file-cta, .docstring > section > a.file.docs-sourcelink .file-cta {
+    background-color: #4eb5de;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-primary:hover .file-cta, .docstring > section > a.file.docs-sourcelink:hover .file-cta, .file.is-primary.is-hovered .file-cta, .docstring > section > a.file.is-hovered.docs-sourcelink .file-cta {
+    background-color: #43b1dc;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-primary:focus .file-cta, .docstring > section > a.file.docs-sourcelink:focus .file-cta, .file.is-primary.is-focused .file-cta, .docstring > section > a.file.is-focused.docs-sourcelink .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(78, 181, 222, 0.25);
+    color: #fff; }
+  .file.is-primary:active .file-cta, .docstring > section > a.file.docs-sourcelink:active .file-cta, .file.is-primary.is-active .file-cta, .docstring > section > a.file.is-active.docs-sourcelink .file-cta {
+    background-color: #39acda;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-link .file-cta {
+    background-color: #2e63b8;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-link:hover .file-cta, .file.is-link.is-hovered .file-cta {
+    background-color: #2b5eae;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-link:focus .file-cta, .file.is-link.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(46, 99, 184, 0.25);
+    color: #fff; }
+  .file.is-link:active .file-cta, .file.is-link.is-active .file-cta {
+    background-color: #2958a4;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-info .file-cta {
+    background-color: #209cee;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-info:hover .file-cta, .file.is-info.is-hovered .file-cta {
+    background-color: #1497ed;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-info:focus .file-cta, .file.is-info.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(32, 156, 238, 0.25);
+    color: #fff; }
+  .file.is-info:active .file-cta, .file.is-info.is-active .file-cta {
+    background-color: #1190e3;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-success .file-cta {
+    background-color: #22c35b;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-success:hover .file-cta, .file.is-success.is-hovered .file-cta {
+    background-color: #20b856;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-success:focus .file-cta, .file.is-success.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(34, 195, 91, 0.25);
+    color: #fff; }
+  .file.is-success:active .file-cta, .file.is-success.is-active .file-cta {
+    background-color: #1ead51;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-warning .file-cta {
+    background-color: #ffdd57;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-warning:hover .file-cta, .file.is-warning.is-hovered .file-cta {
+    background-color: #ffda4a;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-warning:focus .file-cta, .file.is-warning.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(255, 221, 87, 0.25);
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-warning:active .file-cta, .file.is-warning.is-active .file-cta {
+    background-color: #ffd83e;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-danger .file-cta {
+    background-color: #da0b00;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-danger:hover .file-cta, .file.is-danger.is-hovered .file-cta {
+    background-color: #cd0a00;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-danger:focus .file-cta, .file.is-danger.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(218, 11, 0, 0.25);
+    color: #fff; }
+  .file.is-danger:active .file-cta, .file.is-danger.is-active .file-cta {
+    background-color: #c10a00;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-small, #documenter .docs-sidebar form.docs-search > input.file {
+    font-size: 0.75rem; }
+  .file.is-medium {
+    font-size: 1.25rem; }
+    .file.is-medium .file-icon .fa {
+      font-size: 21px; }
+  .file.is-large {
+    font-size: 1.5rem; }
+    .file.is-large .file-icon .fa {
+      font-size: 28px; }
+  .file.has-name .file-cta {
+    border-bottom-right-radius: 0;
+    border-top-right-radius: 0; }
+  .file.has-name .file-name {
+    border-bottom-left-radius: 0;
+    border-top-left-radius: 0; }
+  .file.has-name.is-empty .file-cta {
+    border-radius: 4px; }
+  .file.has-name.is-empty .file-name {
+    display: none; }
+  .file.is-boxed .file-label {
+    flex-direction: column; }
+  .file.is-boxed .file-cta {
+    flex-direction: column;
+    height: auto;
+    padding: 1em 3em; }
+  .file.is-boxed .file-name {
+    border-width: 0 1px 1px; }
+  .file.is-boxed .file-icon {
+    height: 1.5em;
+    width: 1.5em; }
+    .file.is-boxed .file-icon .fa {
+      font-size: 21px; }
+  .file.is-boxed.is-small .file-icon .fa, #documenter .docs-sidebar form.docs-search > input.is-boxed .file-icon .fa {
+    font-size: 14px; }
+  .file.is-boxed.is-medium .file-icon .fa {
+    font-size: 28px; }
+  .file.is-boxed.is-large .file-icon .fa {
+    font-size: 35px; }
+  .file.is-boxed.has-name .file-cta {
+    border-radius: 4px 4px 0 0; }
+  .file.is-boxed.has-name .file-name {
+    border-radius: 0 0 4px 4px;
+    border-width: 0 1px 1px; }
+  .file.is-centered {
+    justify-content: center; }
+  .file.is-fullwidth .file-label {
+    width: 100%; }
+  .file.is-fullwidth .file-name {
+    flex-grow: 1;
+    max-width: none; }
+  .file.is-right {
+    justify-content: flex-end; }
+    .file.is-right .file-cta {
+      border-radius: 0 4px 4px 0; }
+    .file.is-right .file-name {
+      border-radius: 4px 0 0 4px;
+      border-width: 1px 0 1px 1px;
+      order: -1; }
+
+.file-label {
+  align-items: stretch;
+  display: flex;
+  cursor: pointer;
+  justify-content: flex-start;
+  overflow: hidden;
+  position: relative; }
+  .file-label:hover .file-cta {
+    background-color: #eeeeee;
+    color: #363636; }
+  .file-label:hover .file-name {
+    border-color: #d5d5d5; }
+  .file-label:active .file-cta {
+    background-color: #e8e8e8;
+    color: #363636; }
+  .file-label:active .file-name {
+    border-color: #cfcfcf; }
+
+.file-input {
+  height: 100%;
+  left: 0;
+  opacity: 0;
+  outline: none;
+  position: absolute;
+  top: 0;
+  width: 100%; }
+
+.file-cta,
+.file-name {
+  border-color: #dbdbdb;
+  border-radius: 4px;
+  font-size: 1em;
+  padding-left: 1em;
+  padding-right: 1em;
+  white-space: nowrap; }
+
+.file-cta {
+  background-color: whitesmoke;
+  color: #4a4a4a; }
+
+.file-name {
+  border-color: #dbdbdb;
+  border-style: solid;
+  border-width: 1px 1px 1px 0;
+  display: block;
+  max-width: 16em;
+  overflow: hidden;
+  text-align: left;
+  text-overflow: ellipsis; }
+
+.file-icon {
+  align-items: center;
+  display: flex;
+  height: 1em;
+  justify-content: center;
+  margin-right: 0.5em;
+  width: 1em; }
+  .file-icon .fa {
+    font-size: 14px; }
+
+.label {
+  color: #363636;
+  display: block;
+  font-size: 1rem;
+  font-weight: 700; }
+  .label:not(:last-child) {
+    margin-bottom: 0.5em; }
+  .label.is-small, #documenter .docs-sidebar form.docs-search > input.label {
+    font-size: 0.75rem; }
+  .label.is-medium {
+    font-size: 1.25rem; }
+  .label.is-large {
+    font-size: 1.5rem; }
+
+.help {
+  display: block;
+  font-size: 0.75rem;
+  margin-top: 0.25rem; }
+  .help.is-white {
+    color: white; }
+  .help.is-black {
+    color: #0a0a0a; }
+  .help.is-light {
+    color: whitesmoke; }
+  .help.is-dark, .content kbd.help {
+    color: #363636; }
+  .help.is-primary, .docstring > section > a.help.docs-sourcelink {
+    color: #4eb5de; }
+  .help.is-link {
+    color: #2e63b8; }
+  .help.is-info {
+    color: #209cee; }
+  .help.is-success {
+    color: #22c35b; }
+  .help.is-warning {
+    color: #ffdd57; }
+  .help.is-danger {
+    color: #da0b00; }
+
+.field:not(:last-child) {
+  margin-bottom: 0.75rem; }
+
+.field.has-addons {
+  display: flex;
+  justify-content: flex-start; }
+  .field.has-addons .control:not(:last-child) {
+    margin-right: -1px; }
+  .field.has-addons .control:not(:first-child):not(:last-child) .button,
+  .field.has-addons .control:not(:first-child):not(:last-child) .input,
+  .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search > input,
+  #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search > input,
+  .field.has-addons .control:not(:first-child):not(:last-child) .select select {
+    border-radius: 0; }
+  .field.has-addons .control:first-child:not(:only-child) .button,
+  .field.has-addons .control:first-child:not(:only-child) .input,
+  .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+  #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search > input,
+  .field.has-addons .control:first-child:not(:only-child) .select select {
+    border-bottom-right-radius: 0;
+    border-top-right-radius: 0; }
+  .field.has-addons .control:last-child:not(:only-child) .button,
+  .field.has-addons .control:last-child:not(:only-child) .input,
+  .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+  #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search > input,
+  .field.has-addons .control:last-child:not(:only-child) .select select {
+    border-bottom-left-radius: 0;
+    border-top-left-radius: 0; }
+  .field.has-addons .control .button:not([disabled]):hover, .field.has-addons .control .button.is-hovered:not([disabled]),
+  .field.has-addons .control .input:not([disabled]):hover,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):hover,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):hover,
+  .field.has-addons .control .input.is-hovered:not([disabled]),
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-hovered:not([disabled]),
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-hovered:not([disabled]),
+  .field.has-addons .control .select select:not([disabled]):hover,
+  .field.has-addons .control .select select.is-hovered:not([disabled]) {
+    z-index: 2; }
+  .field.has-addons .control .button:not([disabled]):focus, .field.has-addons .control .button.is-focused:not([disabled]), .field.has-addons .control .button:not([disabled]):active, .field.has-addons .control .button.is-active:not([disabled]),
+  .field.has-addons .control .input:not([disabled]):focus,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus,
+  .field.has-addons .control .input.is-focused:not([disabled]),
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]),
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]),
+  .field.has-addons .control .input:not([disabled]):active,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active,
+  .field.has-addons .control .input.is-active:not([disabled]),
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]),
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]),
+  .field.has-addons .control .select select:not([disabled]):focus,
+  .field.has-addons .control .select select.is-focused:not([disabled]),
+  .field.has-addons .control .select select:not([disabled]):active,
+  .field.has-addons .control .select select.is-active:not([disabled]) {
+    z-index: 3; }
+    .field.has-addons .control .button:not([disabled]):focus:hover, .field.has-addons .control .button.is-focused:not([disabled]):hover, .field.has-addons .control .button:not([disabled]):active:hover, .field.has-addons .control .button.is-active:not([disabled]):hover,
+    .field.has-addons .control .input:not([disabled]):focus:hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus:hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus:hover,
+    .field.has-addons .control .input.is-focused:not([disabled]):hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]):hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]):hover,
+    .field.has-addons .control .input:not([disabled]):active:hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active:hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active:hover,
+    .field.has-addons .control .input.is-active:not([disabled]):hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]):hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]):hover,
+    .field.has-addons .control .select select:not([disabled]):focus:hover,
+    .field.has-addons .control .select select.is-focused:not([disabled]):hover,
+    .field.has-addons .control .select select:not([disabled]):active:hover,
+    .field.has-addons .control .select select.is-active:not([disabled]):hover {
+      z-index: 4; }
+  .field.has-addons .control.is-expanded {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .field.has-addons.has-addons-centered {
+    justify-content: center; }
+  .field.has-addons.has-addons-right {
+    justify-content: flex-end; }
+  .field.has-addons.has-addons-fullwidth .control {
+    flex-grow: 1;
+    flex-shrink: 0; }
+
+.field.is-grouped {
+  display: flex;
+  justify-content: flex-start; }
+  .field.is-grouped > .control {
+    flex-shrink: 0; }
+    .field.is-grouped > .control:not(:last-child) {
+      margin-bottom: 0;
+      margin-right: 0.75rem; }
+    .field.is-grouped > .control.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+  .field.is-grouped.is-grouped-centered {
+    justify-content: center; }
+  .field.is-grouped.is-grouped-right {
+    justify-content: flex-end; }
+  .field.is-grouped.is-grouped-multiline {
+    flex-wrap: wrap; }
+    .field.is-grouped.is-grouped-multiline > .control:last-child, .field.is-grouped.is-grouped-multiline > .control:not(:last-child) {
+      margin-bottom: 0.75rem; }
+    .field.is-grouped.is-grouped-multiline:last-child {
+      margin-bottom: -0.75rem; }
+    .field.is-grouped.is-grouped-multiline:not(:last-child) {
+      margin-bottom: 0; }
+
+@media screen and (min-width: 769px), print {
+  .field.is-horizontal {
+    display: flex; } }
+
+.field-label .label {
+  font-size: inherit; }
+
+@media screen and (max-width: 768px) {
+  .field-label {
+    margin-bottom: 0.5rem; } }
+
+@media screen and (min-width: 769px), print {
+  .field-label {
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 0;
+    margin-right: 1.5rem;
+    text-align: right; }
+    .field-label.is-small, #documenter .docs-sidebar form.docs-search > input.field-label {
+      font-size: 0.75rem;
+      padding-top: 0.375em; }
+    .field-label.is-normal {
+      padding-top: 0.375em; }
+    .field-label.is-medium {
+      font-size: 1.25rem;
+      padding-top: 0.375em; }
+    .field-label.is-large {
+      font-size: 1.5rem;
+      padding-top: 0.375em; } }
+
+.field-body .field .field {
+  margin-bottom: 0; }
+
+@media screen and (min-width: 769px), print {
+  .field-body {
+    display: flex;
+    flex-basis: 0;
+    flex-grow: 5;
+    flex-shrink: 1; }
+    .field-body .field {
+      margin-bottom: 0; }
+    .field-body > .field {
+      flex-shrink: 1; }
+      .field-body > .field:not(.is-narrow) {
+        flex-grow: 1; }
+      .field-body > .field:not(:last-child) {
+        margin-right: 0.75rem; } }
+
+.control {
+  box-sizing: border-box;
+  clear: both;
+  font-size: 1rem;
+  position: relative;
+  text-align: left; }
+  .control.has-icons-left .input:focus ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input:focus ~ .icon,
+  .control.has-icons-left .select:focus ~ .icon, .control.has-icons-right .input:focus ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input:focus ~ .icon,
+  .control.has-icons-right .select:focus ~ .icon {
+    color: #6b6b6b; }
+  .control.has-icons-left .input.is-small ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input ~ .icon,
+  .control.has-icons-left .select.is-small ~ .icon, .control.has-icons-right .input.is-small ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input ~ .icon,
+  .control.has-icons-right .select.is-small ~ .icon {
+    font-size: 0.75rem; }
+  .control.has-icons-left .input.is-medium ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-medium ~ .icon,
+  .control.has-icons-left .select.is-medium ~ .icon, .control.has-icons-right .input.is-medium ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-medium ~ .icon,
+  .control.has-icons-right .select.is-medium ~ .icon {
+    font-size: 1.25rem; }
+  .control.has-icons-left .input.is-large ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-large ~ .icon,
+  .control.has-icons-left .select.is-large ~ .icon, .control.has-icons-right .input.is-large ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-large ~ .icon,
+  .control.has-icons-right .select.is-large ~ .icon {
+    font-size: 1.5rem; }
+  .control.has-icons-left .icon, .control.has-icons-right .icon {
+    color: #dbdbdb;
+    height: 2.25em;
+    pointer-events: none;
+    position: absolute;
+    top: 0;
+    width: 2.25em;
+    z-index: 4; }
+  .control.has-icons-left .input, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input,
+  .control.has-icons-left .select select {
+    padding-left: 2.25em; }
+  .control.has-icons-left .icon.is-left {
+    left: 0; }
+  .control.has-icons-right .input, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input,
+  .control.has-icons-right .select select {
+    padding-right: 2.25em; }
+  .control.has-icons-right .icon.is-right {
+    right: 0; }
+  .control.is-loading::after {
+    position: absolute !important;
+    right: 0.625em;
+    top: 0.625em;
+    z-index: 4; }
+  .control.is-loading.is-small:after, #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+    font-size: 0.75rem; }
+  .control.is-loading.is-medium:after {
+    font-size: 1.25rem; }
+  .control.is-loading.is-large:after {
+    font-size: 1.5rem; }
+
+.breadcrumb {
+  font-size: 1rem;
+  white-space: nowrap; }
+  .breadcrumb a {
+    align-items: center;
+    color: #2e63b8;
+    display: flex;
+    justify-content: center;
+    padding: 0 0.75em; }
+    .breadcrumb a:hover {
+      color: #363636; }
+  .breadcrumb li {
+    align-items: center;
+    display: flex; }
+    .breadcrumb li:first-child a {
+      padding-left: 0; }
+    .breadcrumb li.is-active a {
+      color: #222222;
+      cursor: default;
+      pointer-events: none; }
+    .breadcrumb li + li::before {
+      color: #b5b5b5;
+      content: "\0002f"; }
+  .breadcrumb ul,
+  .breadcrumb ol {
+    align-items: flex-start;
+    display: flex;
+    flex-wrap: wrap;
+    justify-content: flex-start; }
+  .breadcrumb .icon:first-child {
+    margin-right: 0.5em; }
+  .breadcrumb .icon:last-child {
+    margin-left: 0.5em; }
+  .breadcrumb.is-centered ol,
+  .breadcrumb.is-centered ul {
+    justify-content: center; }
+  .breadcrumb.is-right ol,
+  .breadcrumb.is-right ul {
+    justify-content: flex-end; }
+  .breadcrumb.is-small, #documenter .docs-sidebar form.docs-search > input.breadcrumb {
+    font-size: 0.75rem; }
+  .breadcrumb.is-medium {
+    font-size: 1.25rem; }
+  .breadcrumb.is-large {
+    font-size: 1.5rem; }
+  .breadcrumb.has-arrow-separator li + li::before {
+    content: "\02192"; }
+  .breadcrumb.has-bullet-separator li + li::before {
+    content: "\02022"; }
+  .breadcrumb.has-dot-separator li + li::before {
+    content: "\000b7"; }
+  .breadcrumb.has-succeeds-separator li + li::before {
+    content: "\0227B"; }
+
+.card {
+  background-color: white;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+  color: #222222;
+  max-width: 100%;
+  position: relative; }
+
+.card-header {
+  background-color: transparent;
+  align-items: stretch;
+  box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+  display: flex; }
+
+.card-header-title {
+  align-items: center;
+  color: #222222;
+  display: flex;
+  flex-grow: 1;
+  font-weight: 700;
+  padding: 0.75rem; }
+  .card-header-title.is-centered {
+    justify-content: center; }
+
+.card-header-icon {
+  align-items: center;
+  cursor: pointer;
+  display: flex;
+  justify-content: center;
+  padding: 0.75rem; }
+
+.card-image {
+  display: block;
+  position: relative; }
+
+.card-content {
+  background-color: transparent;
+  padding: 1.5rem; }
+
+.card-footer {
+  background-color: transparent;
+  border-top: 1px solid #dbdbdb;
+  align-items: stretch;
+  display: flex; }
+
+.card-footer-item {
+  align-items: center;
+  display: flex;
+  flex-basis: 0;
+  flex-grow: 1;
+  flex-shrink: 0;
+  justify-content: center;
+  padding: 0.75rem; }
+  .card-footer-item:not(:last-child) {
+    border-right: 1px solid #dbdbdb; }
+
+.card .media:not(:last-child) {
+  margin-bottom: 1.5rem; }
+
+.dropdown {
+  display: inline-flex;
+  position: relative;
+  vertical-align: top; }
+  .dropdown.is-active .dropdown-menu, .dropdown.is-hoverable:hover .dropdown-menu {
+    display: block; }
+  .dropdown.is-right .dropdown-menu {
+    left: auto;
+    right: 0; }
+  .dropdown.is-up .dropdown-menu {
+    bottom: 100%;
+    padding-bottom: 4px;
+    padding-top: initial;
+    top: auto; }
+
+.dropdown-menu {
+  display: none;
+  left: 0;
+  min-width: 12rem;
+  padding-top: 4px;
+  position: absolute;
+  top: 100%;
+  z-index: 20; }
+
+.dropdown-content {
+  background-color: white;
+  border-radius: 4px;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+  padding-bottom: 0.5rem;
+  padding-top: 0.5rem; }
+
+.dropdown-item {
+  color: #4a4a4a;
+  display: block;
+  font-size: 0.875rem;
+  line-height: 1.5;
+  padding: 0.375rem 1rem;
+  position: relative; }
+
+a.dropdown-item,
+button.dropdown-item {
+  padding-right: 3rem;
+  text-align: left;
+  white-space: nowrap;
+  width: 100%; }
+  a.dropdown-item:hover,
+  button.dropdown-item:hover {
+    background-color: whitesmoke;
+    color: #0a0a0a; }
+  a.dropdown-item.is-active,
+  button.dropdown-item.is-active {
+    background-color: #2e63b8;
+    color: #fff; }
+
+.dropdown-divider {
+  background-color: #dbdbdb;
+  border: none;
+  display: block;
+  height: 1px;
+  margin: 0.5rem 0; }
+
+.level {
+  align-items: center;
+  justify-content: space-between; }
+  .level code {
+    border-radius: 4px; }
+  .level img {
+    display: inline-block;
+    vertical-align: top; }
+  .level.is-mobile {
+    display: flex; }
+    .level.is-mobile .level-left,
+    .level.is-mobile .level-right {
+      display: flex; }
+    .level.is-mobile .level-left + .level-right {
+      margin-top: 0; }
+    .level.is-mobile .level-item:not(:last-child) {
+      margin-bottom: 0;
+      margin-right: 0.75rem; }
+    .level.is-mobile .level-item:not(.is-narrow) {
+      flex-grow: 1; }
+  @media screen and (min-width: 769px), print {
+    .level {
+      display: flex; }
+      .level > .level-item:not(.is-narrow) {
+        flex-grow: 1; } }
+.level-item {
+  align-items: center;
+  display: flex;
+  flex-basis: auto;
+  flex-grow: 0;
+  flex-shrink: 0;
+  justify-content: center; }
+  .level-item .title,
+  .level-item .subtitle {
+    margin-bottom: 0; }
+  @media screen and (max-width: 768px) {
+    .level-item:not(:last-child) {
+      margin-bottom: 0.75rem; } }
+.level-left,
+.level-right {
+  flex-basis: auto;
+  flex-grow: 0;
+  flex-shrink: 0; }
+  .level-left .level-item.is-flexible,
+  .level-right .level-item.is-flexible {
+    flex-grow: 1; }
+  @media screen and (min-width: 769px), print {
+    .level-left .level-item:not(:last-child),
+    .level-right .level-item:not(:last-child) {
+      margin-right: 0.75rem; } }
+.level-left {
+  align-items: center;
+  justify-content: flex-start; }
+  @media screen and (max-width: 768px) {
+    .level-left + .level-right {
+      margin-top: 1.5rem; } }
+  @media screen and (min-width: 769px), print {
+    .level-left {
+      display: flex; } }
+.level-right {
+  align-items: center;
+  justify-content: flex-end; }
+  @media screen and (min-width: 769px), print {
+    .level-right {
+      display: flex; } }
+.list {
+  background-color: white;
+  border-radius: 4px;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); }
+
+.list-item {
+  display: block;
+  padding: 0.5em 1em; }
+  .list-item:not(a) {
+    color: #222222; }
+  .list-item:first-child {
+    border-top-left-radius: 4px;
+    border-top-right-radius: 4px; }
+  .list-item:last-child {
+    border-bottom-left-radius: 4px;
+    border-bottom-right-radius: 4px; }
+  .list-item:not(:last-child) {
+    border-bottom: 1px solid #dbdbdb; }
+  .list-item.is-active {
+    background-color: #2e63b8;
+    color: #fff; }
+
+a.list-item {
+  background-color: whitesmoke;
+  cursor: pointer; }
+
+.media {
+  align-items: flex-start;
+  display: flex;
+  text-align: left; }
+  .media .content:not(:last-child) {
+    margin-bottom: 0.75rem; }
+  .media .media {
+    border-top: 1px solid rgba(219, 219, 219, 0.5);
+    display: flex;
+    padding-top: 0.75rem; }
+    .media .media .content:not(:last-child),
+    .media .media .control:not(:last-child) {
+      margin-bottom: 0.5rem; }
+    .media .media .media {
+      padding-top: 0.5rem; }
+      .media .media .media + .media {
+        margin-top: 0.5rem; }
+  .media + .media {
+    border-top: 1px solid rgba(219, 219, 219, 0.5);
+    margin-top: 1rem;
+    padding-top: 1rem; }
+  .media.is-large + .media {
+    margin-top: 1.5rem;
+    padding-top: 1.5rem; }
+
+.media-left,
+.media-right {
+  flex-basis: auto;
+  flex-grow: 0;
+  flex-shrink: 0; }
+
+.media-left {
+  margin-right: 1rem; }
+
+.media-right {
+  margin-left: 1rem; }
+
+.media-content {
+  flex-basis: auto;
+  flex-grow: 1;
+  flex-shrink: 1;
+  text-align: left; }
+
+@media screen and (max-width: 768px) {
+  .media-content {
+    overflow-x: auto; } }
+
+.menu {
+  font-size: 1rem; }
+  .menu.is-small, #documenter .docs-sidebar form.docs-search > input.menu {
+    font-size: 0.75rem; }
+  .menu.is-medium {
+    font-size: 1.25rem; }
+  .menu.is-large {
+    font-size: 1.5rem; }
+
+.menu-list {
+  line-height: 1.25; }
+  .menu-list a {
+    border-radius: 2px;
+    color: #222222;
+    display: block;
+    padding: 0.5em 0.75em; }
+    .menu-list a:hover {
+      background-color: whitesmoke;
+      color: #222222; }
+    .menu-list a.is-active {
+      background-color: #2e63b8;
+      color: #fff; }
+  .menu-list li ul {
+    border-left: 1px solid #dbdbdb;
+    margin: 0.75em;
+    padding-left: 0.75em; }
+
+.menu-label {
+  color: #6b6b6b;
+  font-size: 0.75em;
+  letter-spacing: 0.1em;
+  text-transform: uppercase; }
+  .menu-label:not(:first-child) {
+    margin-top: 1em; }
+  .menu-label:not(:last-child) {
+    margin-bottom: 1em; }
+
+.message {
+  background-color: whitesmoke;
+  border-radius: 4px;
+  font-size: 1rem; }
+  .message strong {
+    color: currentColor; }
+  .message a:not(.button):not(.tag):not(.dropdown-item) {
+    color: currentColor;
+    text-decoration: underline; }
+  .message.is-small, #documenter .docs-sidebar form.docs-search > input.message {
+    font-size: 0.75rem; }
+  .message.is-medium {
+    font-size: 1.25rem; }
+  .message.is-large {
+    font-size: 1.5rem; }
+  .message.is-white {
+    background-color: white; }
+    .message.is-white .message-header {
+      background-color: white;
+      color: #0a0a0a; }
+    .message.is-white .message-body {
+      border-color: white;
+      color: #4d4d4d; }
+  .message.is-black {
+    background-color: #fafafa; }
+    .message.is-black .message-header {
+      background-color: #0a0a0a;
+      color: white; }
+    .message.is-black .message-body {
+      border-color: #0a0a0a;
+      color: #090909; }
+  .message.is-light {
+    background-color: #fafafa; }
+    .message.is-light .message-header {
+      background-color: whitesmoke;
+      color: #363636; }
+    .message.is-light .message-body {
+      border-color: whitesmoke;
+      color: #505050; }
+  .message.is-dark, .content kbd.message {
+    background-color: #fafafa; }
+    .message.is-dark .message-header, .content kbd.message .message-header {
+      background-color: #363636;
+      color: whitesmoke; }
+    .message.is-dark .message-body, .content kbd.message .message-body {
+      border-color: #363636;
+      color: #2a2a2a; }
+  .message.is-primary, .docstring > section > a.message.docs-sourcelink {
+    background-color: #f6fbfd; }
+    .message.is-primary .message-header, .docstring > section > a.message.docs-sourcelink .message-header {
+      background-color: #4eb5de;
+      color: #fff; }
+    .message.is-primary .message-body, .docstring > section > a.message.docs-sourcelink .message-body {
+      border-color: #4eb5de;
+      color: #1f556a; }
+  .message.is-link {
+    background-color: #f7f9fd; }
+    .message.is-link .message-header {
+      background-color: #2e63b8;
+      color: #fff; }
+    .message.is-link .message-body {
+      border-color: #2e63b8;
+      color: #264981; }
+  .message.is-info {
+    background-color: #f6fbfe; }
+    .message.is-info .message-header {
+      background-color: #209cee;
+      color: #fff; }
+    .message.is-info .message-body {
+      border-color: #209cee;
+      color: #12537d; }
+  .message.is-success {
+    background-color: #f6fdf9; }
+    .message.is-success .message-header {
+      background-color: #22c35b;
+      color: #fff; }
+    .message.is-success .message-body {
+      border-color: #22c35b;
+      color: #0f361d; }
+  .message.is-warning {
+    background-color: #fffdf5; }
+    .message.is-warning .message-header {
+      background-color: #ffdd57;
+      color: rgba(0, 0, 0, 0.7); }
+    .message.is-warning .message-body {
+      border-color: #ffdd57;
+      color: #3c3108; }
+  .message.is-danger {
+    background-color: #fff5f5; }
+    .message.is-danger .message-header {
+      background-color: #da0b00;
+      color: #fff; }
+    .message.is-danger .message-body {
+      border-color: #da0b00;
+      color: #9b0c04; }
+
+.message-header {
+  align-items: center;
+  background-color: #222222;
+  border-radius: 4px 4px 0 0;
+  color: #fff;
+  display: flex;
+  font-weight: 700;
+  justify-content: space-between;
+  line-height: 1.25;
+  padding: 0.75em 1em;
+  position: relative; }
+  .message-header .delete {
+    flex-grow: 0;
+    flex-shrink: 0;
+    margin-left: 0.75em; }
+  .message-header + .message-body {
+    border-width: 0;
+    border-top-left-radius: 0;
+    border-top-right-radius: 0; }
+
+.message-body {
+  border-color: #dbdbdb;
+  border-radius: 4px;
+  border-style: solid;
+  border-width: 0 0 0 4px;
+  color: #222222;
+  padding: 1.25em 1.5em; }
+  .message-body code,
+  .message-body pre {
+    background-color: white; }
+  .message-body pre code {
+    background-color: transparent; }
+
+.modal {
+  align-items: center;
+  display: none;
+  flex-direction: column;
+  justify-content: center;
+  overflow: hidden;
+  position: fixed;
+  z-index: 40; }
+  .modal.is-active {
+    display: flex; }
+
+.modal-background {
+  background-color: rgba(10, 10, 10, 0.86); }
+
+.modal-content,
+.modal-card {
+  margin: 0 20px;
+  max-height: calc(100vh - 160px);
+  overflow: auto;
+  position: relative;
+  width: 100%; }
+  @media screen and (min-width: 769px), print {
+    .modal-content,
+    .modal-card {
+      margin: 0 auto;
+      max-height: calc(100vh - 40px);
+      width: 640px; } }
+.modal-close {
+  background: none;
+  height: 40px;
+  position: fixed;
+  right: 20px;
+  top: 20px;
+  width: 40px; }
+
+.modal-card {
+  display: flex;
+  flex-direction: column;
+  max-height: calc(100vh - 40px);
+  overflow: hidden;
+  -ms-overflow-y: visible; }
+
+.modal-card-head,
+.modal-card-foot {
+  align-items: center;
+  background-color: whitesmoke;
+  display: flex;
+  flex-shrink: 0;
+  justify-content: flex-start;
+  padding: 20px;
+  position: relative; }
+
+.modal-card-head {
+  border-bottom: 1px solid #dbdbdb;
+  border-top-left-radius: 6px;
+  border-top-right-radius: 6px; }
+
+.modal-card-title {
+  color: #222222;
+  flex-grow: 1;
+  flex-shrink: 0;
+  font-size: 1.5rem;
+  line-height: 1; }
+
+.modal-card-foot {
+  border-bottom-left-radius: 6px;
+  border-bottom-right-radius: 6px;
+  border-top: 1px solid #dbdbdb; }
+  .modal-card-foot .button:not(:last-child) {
+    margin-right: 0.5em; }
+
+.modal-card-body {
+  -webkit-overflow-scrolling: touch;
+  background-color: white;
+  flex-grow: 1;
+  flex-shrink: 1;
+  overflow: auto;
+  padding: 20px; }
+
+.navbar {
+  background-color: white;
+  min-height: 3.25rem;
+  position: relative;
+  z-index: 30; }
+  .navbar.is-white {
+    background-color: white;
+    color: #0a0a0a; }
+    .navbar.is-white .navbar-brand > .navbar-item,
+    .navbar.is-white .navbar-brand .navbar-link {
+      color: #0a0a0a; }
+    .navbar.is-white .navbar-brand > a.navbar-item:focus, .navbar.is-white .navbar-brand > a.navbar-item:hover, .navbar.is-white .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-white .navbar-brand .navbar-link:focus,
+    .navbar.is-white .navbar-brand .navbar-link:hover,
+    .navbar.is-white .navbar-brand .navbar-link.is-active {
+      background-color: #f2f2f2;
+      color: #0a0a0a; }
+    .navbar.is-white .navbar-brand .navbar-link::after {
+      border-color: #0a0a0a; }
+    .navbar.is-white .navbar-burger {
+      color: #0a0a0a; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-white .navbar-start > .navbar-item,
+      .navbar.is-white .navbar-start .navbar-link,
+      .navbar.is-white .navbar-end > .navbar-item,
+      .navbar.is-white .navbar-end .navbar-link {
+        color: #0a0a0a; }
+      .navbar.is-white .navbar-start > a.navbar-item:focus, .navbar.is-white .navbar-start > a.navbar-item:hover, .navbar.is-white .navbar-start > a.navbar-item.is-active,
+      .navbar.is-white .navbar-start .navbar-link:focus,
+      .navbar.is-white .navbar-start .navbar-link:hover,
+      .navbar.is-white .navbar-start .navbar-link.is-active,
+      .navbar.is-white .navbar-end > a.navbar-item:focus,
+      .navbar.is-white .navbar-end > a.navbar-item:hover,
+      .navbar.is-white .navbar-end > a.navbar-item.is-active,
+      .navbar.is-white .navbar-end .navbar-link:focus,
+      .navbar.is-white .navbar-end .navbar-link:hover,
+      .navbar.is-white .navbar-end .navbar-link.is-active {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      .navbar.is-white .navbar-start .navbar-link::after,
+      .navbar.is-white .navbar-end .navbar-link::after {
+        border-color: #0a0a0a; }
+      .navbar.is-white .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-white .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-white .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      .navbar.is-white .navbar-dropdown a.navbar-item.is-active {
+        background-color: white;
+        color: #0a0a0a; } }
+  .navbar.is-black {
+    background-color: #0a0a0a;
+    color: white; }
+    .navbar.is-black .navbar-brand > .navbar-item,
+    .navbar.is-black .navbar-brand .navbar-link {
+      color: white; }
+    .navbar.is-black .navbar-brand > a.navbar-item:focus, .navbar.is-black .navbar-brand > a.navbar-item:hover, .navbar.is-black .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-black .navbar-brand .navbar-link:focus,
+    .navbar.is-black .navbar-brand .navbar-link:hover,
+    .navbar.is-black .navbar-brand .navbar-link.is-active {
+      background-color: black;
+      color: white; }
+    .navbar.is-black .navbar-brand .navbar-link::after {
+      border-color: white; }
+    .navbar.is-black .navbar-burger {
+      color: white; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-black .navbar-start > .navbar-item,
+      .navbar.is-black .navbar-start .navbar-link,
+      .navbar.is-black .navbar-end > .navbar-item,
+      .navbar.is-black .navbar-end .navbar-link {
+        color: white; }
+      .navbar.is-black .navbar-start > a.navbar-item:focus, .navbar.is-black .navbar-start > a.navbar-item:hover, .navbar.is-black .navbar-start > a.navbar-item.is-active,
+      .navbar.is-black .navbar-start .navbar-link:focus,
+      .navbar.is-black .navbar-start .navbar-link:hover,
+      .navbar.is-black .navbar-start .navbar-link.is-active,
+      .navbar.is-black .navbar-end > a.navbar-item:focus,
+      .navbar.is-black .navbar-end > a.navbar-item:hover,
+      .navbar.is-black .navbar-end > a.navbar-item.is-active,
+      .navbar.is-black .navbar-end .navbar-link:focus,
+      .navbar.is-black .navbar-end .navbar-link:hover,
+      .navbar.is-black .navbar-end .navbar-link.is-active {
+        background-color: black;
+        color: white; }
+      .navbar.is-black .navbar-start .navbar-link::after,
+      .navbar.is-black .navbar-end .navbar-link::after {
+        border-color: white; }
+      .navbar.is-black .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-black .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-black .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: black;
+        color: white; }
+      .navbar.is-black .navbar-dropdown a.navbar-item.is-active {
+        background-color: #0a0a0a;
+        color: white; } }
+  .navbar.is-light {
+    background-color: whitesmoke;
+    color: #363636; }
+    .navbar.is-light .navbar-brand > .navbar-item,
+    .navbar.is-light .navbar-brand .navbar-link {
+      color: #363636; }
+    .navbar.is-light .navbar-brand > a.navbar-item:focus, .navbar.is-light .navbar-brand > a.navbar-item:hover, .navbar.is-light .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-light .navbar-brand .navbar-link:focus,
+    .navbar.is-light .navbar-brand .navbar-link:hover,
+    .navbar.is-light .navbar-brand .navbar-link.is-active {
+      background-color: #e8e8e8;
+      color: #363636; }
+    .navbar.is-light .navbar-brand .navbar-link::after {
+      border-color: #363636; }
+    .navbar.is-light .navbar-burger {
+      color: #363636; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-light .navbar-start > .navbar-item,
+      .navbar.is-light .navbar-start .navbar-link,
+      .navbar.is-light .navbar-end > .navbar-item,
+      .navbar.is-light .navbar-end .navbar-link {
+        color: #363636; }
+      .navbar.is-light .navbar-start > a.navbar-item:focus, .navbar.is-light .navbar-start > a.navbar-item:hover, .navbar.is-light .navbar-start > a.navbar-item.is-active,
+      .navbar.is-light .navbar-start .navbar-link:focus,
+      .navbar.is-light .navbar-start .navbar-link:hover,
+      .navbar.is-light .navbar-start .navbar-link.is-active,
+      .navbar.is-light .navbar-end > a.navbar-item:focus,
+      .navbar.is-light .navbar-end > a.navbar-item:hover,
+      .navbar.is-light .navbar-end > a.navbar-item.is-active,
+      .navbar.is-light .navbar-end .navbar-link:focus,
+      .navbar.is-light .navbar-end .navbar-link:hover,
+      .navbar.is-light .navbar-end .navbar-link.is-active {
+        background-color: #e8e8e8;
+        color: #363636; }
+      .navbar.is-light .navbar-start .navbar-link::after,
+      .navbar.is-light .navbar-end .navbar-link::after {
+        border-color: #363636; }
+      .navbar.is-light .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-light .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-light .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #e8e8e8;
+        color: #363636; }
+      .navbar.is-light .navbar-dropdown a.navbar-item.is-active {
+        background-color: whitesmoke;
+        color: #363636; } }
+  .navbar.is-dark, .content kbd.navbar {
+    background-color: #363636;
+    color: whitesmoke; }
+    .navbar.is-dark .navbar-brand > .navbar-item, .content kbd.navbar .navbar-brand > .navbar-item,
+    .navbar.is-dark .navbar-brand .navbar-link,
+    .content kbd.navbar .navbar-brand .navbar-link {
+      color: whitesmoke; }
+    .navbar.is-dark .navbar-brand > a.navbar-item:focus, .content kbd.navbar .navbar-brand > a.navbar-item:focus, .navbar.is-dark .navbar-brand > a.navbar-item:hover, .content kbd.navbar .navbar-brand > a.navbar-item:hover, .navbar.is-dark .navbar-brand > a.navbar-item.is-active, .content kbd.navbar .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-dark .navbar-brand .navbar-link:focus,
+    .content kbd.navbar .navbar-brand .navbar-link:focus,
+    .navbar.is-dark .navbar-brand .navbar-link:hover,
+    .content kbd.navbar .navbar-brand .navbar-link:hover,
+    .navbar.is-dark .navbar-brand .navbar-link.is-active,
+    .content kbd.navbar .navbar-brand .navbar-link.is-active {
+      background-color: #292929;
+      color: whitesmoke; }
+    .navbar.is-dark .navbar-brand .navbar-link::after, .content kbd.navbar .navbar-brand .navbar-link::after {
+      border-color: whitesmoke; }
+    .navbar.is-dark .navbar-burger, .content kbd.navbar .navbar-burger {
+      color: whitesmoke; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-dark .navbar-start > .navbar-item, .content kbd.navbar .navbar-start > .navbar-item,
+      .navbar.is-dark .navbar-start .navbar-link,
+      .content kbd.navbar .navbar-start .navbar-link,
+      .navbar.is-dark .navbar-end > .navbar-item,
+      .content kbd.navbar .navbar-end > .navbar-item,
+      .navbar.is-dark .navbar-end .navbar-link,
+      .content kbd.navbar .navbar-end .navbar-link {
+        color: whitesmoke; }
+      .navbar.is-dark .navbar-start > a.navbar-item:focus, .content kbd.navbar .navbar-start > a.navbar-item:focus, .navbar.is-dark .navbar-start > a.navbar-item:hover, .content kbd.navbar .navbar-start > a.navbar-item:hover, .navbar.is-dark .navbar-start > a.navbar-item.is-active, .content kbd.navbar .navbar-start > a.navbar-item.is-active,
+      .navbar.is-dark .navbar-start .navbar-link:focus,
+      .content kbd.navbar .navbar-start .navbar-link:focus,
+      .navbar.is-dark .navbar-start .navbar-link:hover,
+      .content kbd.navbar .navbar-start .navbar-link:hover,
+      .navbar.is-dark .navbar-start .navbar-link.is-active,
+      .content kbd.navbar .navbar-start .navbar-link.is-active,
+      .navbar.is-dark .navbar-end > a.navbar-item:focus,
+      .content kbd.navbar .navbar-end > a.navbar-item:focus,
+      .navbar.is-dark .navbar-end > a.navbar-item:hover,
+      .content kbd.navbar .navbar-end > a.navbar-item:hover,
+      .navbar.is-dark .navbar-end > a.navbar-item.is-active,
+      .content kbd.navbar .navbar-end > a.navbar-item.is-active,
+      .navbar.is-dark .navbar-end .navbar-link:focus,
+      .content kbd.navbar .navbar-end .navbar-link:focus,
+      .navbar.is-dark .navbar-end .navbar-link:hover,
+      .content kbd.navbar .navbar-end .navbar-link:hover,
+      .navbar.is-dark .navbar-end .navbar-link.is-active,
+      .content kbd.navbar .navbar-end .navbar-link.is-active {
+        background-color: #292929;
+        color: whitesmoke; }
+      .navbar.is-dark .navbar-start .navbar-link::after, .content kbd.navbar .navbar-start .navbar-link::after,
+      .navbar.is-dark .navbar-end .navbar-link::after,
+      .content kbd.navbar .navbar-end .navbar-link::after {
+        border-color: whitesmoke; }
+      .navbar.is-dark .navbar-item.has-dropdown:focus .navbar-link, .content kbd.navbar .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-dark .navbar-item.has-dropdown:hover .navbar-link,
+      .content kbd.navbar .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-dark .navbar-item.has-dropdown.is-active .navbar-link,
+      .content kbd.navbar .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #292929;
+        color: whitesmoke; }
+      .navbar.is-dark .navbar-dropdown a.navbar-item.is-active, .content kbd.navbar .navbar-dropdown a.navbar-item.is-active {
+        background-color: #363636;
+        color: whitesmoke; } }
+  .navbar.is-primary, .docstring > section > a.navbar.docs-sourcelink {
+    background-color: #4eb5de;
+    color: #fff; }
+    .navbar.is-primary .navbar-brand > .navbar-item, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > .navbar-item,
+    .navbar.is-primary .navbar-brand .navbar-link,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-primary .navbar-brand > a.navbar-item:focus, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:focus, .navbar.is-primary .navbar-brand > a.navbar-item:hover, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:hover, .navbar.is-primary .navbar-brand > a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-primary .navbar-brand .navbar-link:focus,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:focus,
+    .navbar.is-primary .navbar-brand .navbar-link:hover,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:hover,
+    .navbar.is-primary .navbar-brand .navbar-link.is-active,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link.is-active {
+      background-color: #39acda;
+      color: #fff; }
+    .navbar.is-primary .navbar-brand .navbar-link::after, .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-primary .navbar-burger, .docstring > section > a.navbar.docs-sourcelink .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-primary .navbar-start > .navbar-item, .docstring > section > a.navbar.docs-sourcelink .navbar-start > .navbar-item,
+      .navbar.is-primary .navbar-start .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link,
+      .navbar.is-primary .navbar-end > .navbar-item,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > .navbar-item,
+      .navbar.is-primary .navbar-end .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-primary .navbar-start > a.navbar-item:focus, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:focus, .navbar.is-primary .navbar-start > a.navbar-item:hover, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:hover, .navbar.is-primary .navbar-start > a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item.is-active,
+      .navbar.is-primary .navbar-start .navbar-link:focus,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:focus,
+      .navbar.is-primary .navbar-start .navbar-link:hover,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:hover,
+      .navbar.is-primary .navbar-start .navbar-link.is-active,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link.is-active,
+      .navbar.is-primary .navbar-end > a.navbar-item:focus,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:focus,
+      .navbar.is-primary .navbar-end > a.navbar-item:hover,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:hover,
+      .navbar.is-primary .navbar-end > a.navbar-item.is-active,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item.is-active,
+      .navbar.is-primary .navbar-end .navbar-link:focus,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:focus,
+      .navbar.is-primary .navbar-end .navbar-link:hover,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:hover,
+      .navbar.is-primary .navbar-end .navbar-link.is-active,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link.is-active {
+        background-color: #39acda;
+        color: #fff; }
+      .navbar.is-primary .navbar-start .navbar-link::after, .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link::after,
+      .navbar.is-primary .navbar-end .navbar-link::after,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-primary .navbar-item.has-dropdown:focus .navbar-link, .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-primary .navbar-item.has-dropdown:hover .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-primary .navbar-item.has-dropdown.is-active .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #39acda;
+        color: #fff; }
+      .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active {
+        background-color: #4eb5de;
+        color: #fff; } }
+  .navbar.is-link {
+    background-color: #2e63b8;
+    color: #fff; }
+    .navbar.is-link .navbar-brand > .navbar-item,
+    .navbar.is-link .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-link .navbar-brand > a.navbar-item:focus, .navbar.is-link .navbar-brand > a.navbar-item:hover, .navbar.is-link .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-link .navbar-brand .navbar-link:focus,
+    .navbar.is-link .navbar-brand .navbar-link:hover,
+    .navbar.is-link .navbar-brand .navbar-link.is-active {
+      background-color: #2958a4;
+      color: #fff; }
+    .navbar.is-link .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-link .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-link .navbar-start > .navbar-item,
+      .navbar.is-link .navbar-start .navbar-link,
+      .navbar.is-link .navbar-end > .navbar-item,
+      .navbar.is-link .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-link .navbar-start > a.navbar-item:focus, .navbar.is-link .navbar-start > a.navbar-item:hover, .navbar.is-link .navbar-start > a.navbar-item.is-active,
+      .navbar.is-link .navbar-start .navbar-link:focus,
+      .navbar.is-link .navbar-start .navbar-link:hover,
+      .navbar.is-link .navbar-start .navbar-link.is-active,
+      .navbar.is-link .navbar-end > a.navbar-item:focus,
+      .navbar.is-link .navbar-end > a.navbar-item:hover,
+      .navbar.is-link .navbar-end > a.navbar-item.is-active,
+      .navbar.is-link .navbar-end .navbar-link:focus,
+      .navbar.is-link .navbar-end .navbar-link:hover,
+      .navbar.is-link .navbar-end .navbar-link.is-active {
+        background-color: #2958a4;
+        color: #fff; }
+      .navbar.is-link .navbar-start .navbar-link::after,
+      .navbar.is-link .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-link .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-link .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-link .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #2958a4;
+        color: #fff; }
+      .navbar.is-link .navbar-dropdown a.navbar-item.is-active {
+        background-color: #2e63b8;
+        color: #fff; } }
+  .navbar.is-info {
+    background-color: #209cee;
+    color: #fff; }
+    .navbar.is-info .navbar-brand > .navbar-item,
+    .navbar.is-info .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-info .navbar-brand > a.navbar-item:focus, .navbar.is-info .navbar-brand > a.navbar-item:hover, .navbar.is-info .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-info .navbar-brand .navbar-link:focus,
+    .navbar.is-info .navbar-brand .navbar-link:hover,
+    .navbar.is-info .navbar-brand .navbar-link.is-active {
+      background-color: #1190e3;
+      color: #fff; }
+    .navbar.is-info .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-info .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-info .navbar-start > .navbar-item,
+      .navbar.is-info .navbar-start .navbar-link,
+      .navbar.is-info .navbar-end > .navbar-item,
+      .navbar.is-info .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-info .navbar-start > a.navbar-item:focus, .navbar.is-info .navbar-start > a.navbar-item:hover, .navbar.is-info .navbar-start > a.navbar-item.is-active,
+      .navbar.is-info .navbar-start .navbar-link:focus,
+      .navbar.is-info .navbar-start .navbar-link:hover,
+      .navbar.is-info .navbar-start .navbar-link.is-active,
+      .navbar.is-info .navbar-end > a.navbar-item:focus,
+      .navbar.is-info .navbar-end > a.navbar-item:hover,
+      .navbar.is-info .navbar-end > a.navbar-item.is-active,
+      .navbar.is-info .navbar-end .navbar-link:focus,
+      .navbar.is-info .navbar-end .navbar-link:hover,
+      .navbar.is-info .navbar-end .navbar-link.is-active {
+        background-color: #1190e3;
+        color: #fff; }
+      .navbar.is-info .navbar-start .navbar-link::after,
+      .navbar.is-info .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-info .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-info .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-info .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #1190e3;
+        color: #fff; }
+      .navbar.is-info .navbar-dropdown a.navbar-item.is-active {
+        background-color: #209cee;
+        color: #fff; } }
+  .navbar.is-success {
+    background-color: #22c35b;
+    color: #fff; }
+    .navbar.is-success .navbar-brand > .navbar-item,
+    .navbar.is-success .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-success .navbar-brand > a.navbar-item:focus, .navbar.is-success .navbar-brand > a.navbar-item:hover, .navbar.is-success .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-success .navbar-brand .navbar-link:focus,
+    .navbar.is-success .navbar-brand .navbar-link:hover,
+    .navbar.is-success .navbar-brand .navbar-link.is-active {
+      background-color: #1ead51;
+      color: #fff; }
+    .navbar.is-success .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-success .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-success .navbar-start > .navbar-item,
+      .navbar.is-success .navbar-start .navbar-link,
+      .navbar.is-success .navbar-end > .navbar-item,
+      .navbar.is-success .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-success .navbar-start > a.navbar-item:focus, .navbar.is-success .navbar-start > a.navbar-item:hover, .navbar.is-success .navbar-start > a.navbar-item.is-active,
+      .navbar.is-success .navbar-start .navbar-link:focus,
+      .navbar.is-success .navbar-start .navbar-link:hover,
+      .navbar.is-success .navbar-start .navbar-link.is-active,
+      .navbar.is-success .navbar-end > a.navbar-item:focus,
+      .navbar.is-success .navbar-end > a.navbar-item:hover,
+      .navbar.is-success .navbar-end > a.navbar-item.is-active,
+      .navbar.is-success .navbar-end .navbar-link:focus,
+      .navbar.is-success .navbar-end .navbar-link:hover,
+      .navbar.is-success .navbar-end .navbar-link.is-active {
+        background-color: #1ead51;
+        color: #fff; }
+      .navbar.is-success .navbar-start .navbar-link::after,
+      .navbar.is-success .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-success .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-success .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-success .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #1ead51;
+        color: #fff; }
+      .navbar.is-success .navbar-dropdown a.navbar-item.is-active {
+        background-color: #22c35b;
+        color: #fff; } }
+  .navbar.is-warning {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-brand > .navbar-item,
+    .navbar.is-warning .navbar-brand .navbar-link {
+      color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-brand > a.navbar-item:focus, .navbar.is-warning .navbar-brand > a.navbar-item:hover, .navbar.is-warning .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-warning .navbar-brand .navbar-link:focus,
+    .navbar.is-warning .navbar-brand .navbar-link:hover,
+    .navbar.is-warning .navbar-brand .navbar-link.is-active {
+      background-color: #ffd83e;
+      color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-brand .navbar-link::after {
+      border-color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-burger {
+      color: rgba(0, 0, 0, 0.7); }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-warning .navbar-start > .navbar-item,
+      .navbar.is-warning .navbar-start .navbar-link,
+      .navbar.is-warning .navbar-end > .navbar-item,
+      .navbar.is-warning .navbar-end .navbar-link {
+        color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-start > a.navbar-item:focus, .navbar.is-warning .navbar-start > a.navbar-item:hover, .navbar.is-warning .navbar-start > a.navbar-item.is-active,
+      .navbar.is-warning .navbar-start .navbar-link:focus,
+      .navbar.is-warning .navbar-start .navbar-link:hover,
+      .navbar.is-warning .navbar-start .navbar-link.is-active,
+      .navbar.is-warning .navbar-end > a.navbar-item:focus,
+      .navbar.is-warning .navbar-end > a.navbar-item:hover,
+      .navbar.is-warning .navbar-end > a.navbar-item.is-active,
+      .navbar.is-warning .navbar-end .navbar-link:focus,
+      .navbar.is-warning .navbar-end .navbar-link:hover,
+      .navbar.is-warning .navbar-end .navbar-link.is-active {
+        background-color: #ffd83e;
+        color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-start .navbar-link::after,
+      .navbar.is-warning .navbar-end .navbar-link::after {
+        border-color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-warning .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-warning .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #ffd83e;
+        color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-dropdown a.navbar-item.is-active {
+        background-color: #ffdd57;
+        color: rgba(0, 0, 0, 0.7); } }
+  .navbar.is-danger {
+    background-color: #da0b00;
+    color: #fff; }
+    .navbar.is-danger .navbar-brand > .navbar-item,
+    .navbar.is-danger .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-danger .navbar-brand > a.navbar-item:focus, .navbar.is-danger .navbar-brand > a.navbar-item:hover, .navbar.is-danger .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-danger .navbar-brand .navbar-link:focus,
+    .navbar.is-danger .navbar-brand .navbar-link:hover,
+    .navbar.is-danger .navbar-brand .navbar-link.is-active {
+      background-color: #c10a00;
+      color: #fff; }
+    .navbar.is-danger .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-danger .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-danger .navbar-start > .navbar-item,
+      .navbar.is-danger .navbar-start .navbar-link,
+      .navbar.is-danger .navbar-end > .navbar-item,
+      .navbar.is-danger .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-danger .navbar-start > a.navbar-item:focus, .navbar.is-danger .navbar-start > a.navbar-item:hover, .navbar.is-danger .navbar-start > a.navbar-item.is-active,
+      .navbar.is-danger .navbar-start .navbar-link:focus,
+      .navbar.is-danger .navbar-start .navbar-link:hover,
+      .navbar.is-danger .navbar-start .navbar-link.is-active,
+      .navbar.is-danger .navbar-end > a.navbar-item:focus,
+      .navbar.is-danger .navbar-end > a.navbar-item:hover,
+      .navbar.is-danger .navbar-end > a.navbar-item.is-active,
+      .navbar.is-danger .navbar-end .navbar-link:focus,
+      .navbar.is-danger .navbar-end .navbar-link:hover,
+      .navbar.is-danger .navbar-end .navbar-link.is-active {
+        background-color: #c10a00;
+        color: #fff; }
+      .navbar.is-danger .navbar-start .navbar-link::after,
+      .navbar.is-danger .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-danger .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-danger .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-danger .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #c10a00;
+        color: #fff; }
+      .navbar.is-danger .navbar-dropdown a.navbar-item.is-active {
+        background-color: #da0b00;
+        color: #fff; } }
+  .navbar > .container {
+    align-items: stretch;
+    display: flex;
+    min-height: 3.25rem;
+    width: 100%; }
+  .navbar.has-shadow {
+    box-shadow: 0 2px 0 0 whitesmoke; }
+  .navbar.is-fixed-bottom, .navbar.is-fixed-top {
+    left: 0;
+    position: fixed;
+    right: 0;
+    z-index: 30; }
+  .navbar.is-fixed-bottom {
+    bottom: 0; }
+    .navbar.is-fixed-bottom.has-shadow {
+      box-shadow: 0 -2px 0 0 whitesmoke; }
+  .navbar.is-fixed-top {
+    top: 0; }
+
+html.has-navbar-fixed-top,
+body.has-navbar-fixed-top {
+  padding-top: 3.25rem; }
+
+html.has-navbar-fixed-bottom,
+body.has-navbar-fixed-bottom {
+  padding-bottom: 3.25rem; }
+
+.navbar-brand,
+.navbar-tabs {
+  align-items: stretch;
+  display: flex;
+  flex-shrink: 0;
+  min-height: 3.25rem; }
+
+.navbar-brand a.navbar-item:focus, .navbar-brand a.navbar-item:hover {
+  background-color: transparent; }
+
+.navbar-tabs {
+  -webkit-overflow-scrolling: touch;
+  max-width: 100vw;
+  overflow-x: auto;
+  overflow-y: hidden; }
+
+.navbar-burger {
+  color: #4a4a4a;
+  cursor: pointer;
+  display: block;
+  height: 3.25rem;
+  position: relative;
+  width: 3.25rem;
+  margin-left: auto; }
+  .navbar-burger span {
+    background-color: currentColor;
+    display: block;
+    height: 1px;
+    left: calc(50% - 8px);
+    position: absolute;
+    transform-origin: center;
+    transition-duration: 86ms;
+    transition-property: background-color, opacity, transform;
+    transition-timing-function: ease-out;
+    width: 16px; }
+    .navbar-burger span:nth-child(1) {
+      top: calc(50% - 6px); }
+    .navbar-burger span:nth-child(2) {
+      top: calc(50% - 1px); }
+    .navbar-burger span:nth-child(3) {
+      top: calc(50% + 4px); }
+  .navbar-burger:hover {
+    background-color: rgba(0, 0, 0, 0.05); }
+  .navbar-burger.is-active span:nth-child(1) {
+    transform: translateY(5px) rotate(45deg); }
+  .navbar-burger.is-active span:nth-child(2) {
+    opacity: 0; }
+  .navbar-burger.is-active span:nth-child(3) {
+    transform: translateY(-5px) rotate(-45deg); }
+
+.navbar-menu {
+  display: none; }
+
+.navbar-item,
+.navbar-link {
+  color: #4a4a4a;
+  display: block;
+  line-height: 1.5;
+  padding: 0.5rem 0.75rem;
+  position: relative; }
+  .navbar-item .icon:only-child,
+  .navbar-link .icon:only-child {
+    margin-left: -0.25rem;
+    margin-right: -0.25rem; }
+
+a.navbar-item,
+.navbar-link {
+  cursor: pointer; }
+  a.navbar-item:focus, a.navbar-item:focus-within, a.navbar-item:hover, a.navbar-item.is-active,
+  .navbar-link:focus,
+  .navbar-link:focus-within,
+  .navbar-link:hover,
+  .navbar-link.is-active {
+    background-color: #fafafa;
+    color: #2e63b8; }
+
+.navbar-item {
+  display: block;
+  flex-grow: 0;
+  flex-shrink: 0; }
+  .navbar-item img {
+    max-height: 1.75rem; }
+  .navbar-item.has-dropdown {
+    padding: 0; }
+  .navbar-item.is-expanded {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .navbar-item.is-tab {
+    border-bottom: 1px solid transparent;
+    min-height: 3.25rem;
+    padding-bottom: calc(0.5rem - 1px); }
+    .navbar-item.is-tab:focus, .navbar-item.is-tab:hover {
+      background-color: transparent;
+      border-bottom-color: #2e63b8; }
+    .navbar-item.is-tab.is-active {
+      background-color: transparent;
+      border-bottom-color: #2e63b8;
+      border-bottom-style: solid;
+      border-bottom-width: 3px;
+      color: #2e63b8;
+      padding-bottom: calc(0.5rem - 3px); }
+
+.navbar-content {
+  flex-grow: 1;
+  flex-shrink: 1; }
+
+.navbar-link:not(.is-arrowless) {
+  padding-right: 2.5em; }
+  .navbar-link:not(.is-arrowless)::after {
+    border-color: #2e63b8;
+    margin-top: -0.375em;
+    right: 1.125em; }
+
+.navbar-dropdown {
+  font-size: 0.875rem;
+  padding-bottom: 0.5rem;
+  padding-top: 0.5rem; }
+  .navbar-dropdown .navbar-item {
+    padding-left: 1.5rem;
+    padding-right: 1.5rem; }
+
+.navbar-divider {
+  background-color: whitesmoke;
+  border: none;
+  display: none;
+  height: 2px;
+  margin: 0.5rem 0; }
+
+@media screen and (max-width: 1055px) {
+  .navbar > .container {
+    display: block; }
+  .navbar-brand .navbar-item,
+  .navbar-tabs .navbar-item {
+    align-items: center;
+    display: flex; }
+  .navbar-link::after {
+    display: none; }
+  .navbar-menu {
+    background-color: white;
+    box-shadow: 0 8px 16px rgba(10, 10, 10, 0.1);
+    padding: 0.5rem 0; }
+    .navbar-menu.is-active {
+      display: block; }
+  .navbar.is-fixed-bottom-touch, .navbar.is-fixed-top-touch {
+    left: 0;
+    position: fixed;
+    right: 0;
+    z-index: 30; }
+  .navbar.is-fixed-bottom-touch {
+    bottom: 0; }
+    .navbar.is-fixed-bottom-touch.has-shadow {
+      box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+  .navbar.is-fixed-top-touch {
+    top: 0; }
+  .navbar.is-fixed-top .navbar-menu, .navbar.is-fixed-top-touch .navbar-menu {
+    -webkit-overflow-scrolling: touch;
+    max-height: calc(100vh - 3.25rem);
+    overflow: auto; }
+  html.has-navbar-fixed-top-touch,
+  body.has-navbar-fixed-top-touch {
+    padding-top: 3.25rem; }
+  html.has-navbar-fixed-bottom-touch,
+  body.has-navbar-fixed-bottom-touch {
+    padding-bottom: 3.25rem; } }
+
+@media screen and (min-width: 1056px) {
+  .navbar,
+  .navbar-menu,
+  .navbar-start,
+  .navbar-end {
+    align-items: stretch;
+    display: flex; }
+  .navbar {
+    min-height: 3.25rem; }
+    .navbar.is-spaced {
+      padding: 1rem 2rem; }
+      .navbar.is-spaced .navbar-start,
+      .navbar.is-spaced .navbar-end {
+        align-items: center; }
+      .navbar.is-spaced a.navbar-item,
+      .navbar.is-spaced .navbar-link {
+        border-radius: 4px; }
+    .navbar.is-transparent a.navbar-item:focus, .navbar.is-transparent a.navbar-item:hover, .navbar.is-transparent a.navbar-item.is-active,
+    .navbar.is-transparent .navbar-link:focus,
+    .navbar.is-transparent .navbar-link:hover,
+    .navbar.is-transparent .navbar-link.is-active {
+      background-color: transparent !important; }
+    .navbar.is-transparent .navbar-item.has-dropdown.is-active .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus-within .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:hover .navbar-link {
+      background-color: transparent !important; }
+    .navbar.is-transparent .navbar-dropdown a.navbar-item:focus, .navbar.is-transparent .navbar-dropdown a.navbar-item:hover {
+      background-color: whitesmoke;
+      color: #0a0a0a; }
+    .navbar.is-transparent .navbar-dropdown a.navbar-item.is-active {
+      background-color: whitesmoke;
+      color: #2e63b8; }
+  .navbar-burger {
+    display: none; }
+  .navbar-item,
+  .navbar-link {
+    align-items: center;
+    display: flex; }
+  .navbar-item {
+    display: flex; }
+    .navbar-item.has-dropdown {
+      align-items: stretch; }
+    .navbar-item.has-dropdown-up .navbar-link::after {
+      transform: rotate(135deg) translate(0.25em, -0.25em); }
+    .navbar-item.has-dropdown-up .navbar-dropdown {
+      border-bottom: 2px solid #dbdbdb;
+      border-radius: 6px 6px 0 0;
+      border-top: none;
+      bottom: 100%;
+      box-shadow: 0 -8px 8px rgba(10, 10, 10, 0.1);
+      top: auto; }
+    .navbar-item.is-active .navbar-dropdown, .navbar-item.is-hoverable:focus .navbar-dropdown, .navbar-item.is-hoverable:focus-within .navbar-dropdown, .navbar-item.is-hoverable:hover .navbar-dropdown {
+      display: block; }
+      .navbar.is-spaced .navbar-item.is-active .navbar-dropdown, .navbar-item.is-active .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:focus .navbar-dropdown, .navbar-item.is-hoverable:focus .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:focus-within .navbar-dropdown, .navbar-item.is-hoverable:focus-within .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:hover .navbar-dropdown, .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed {
+        opacity: 1;
+        pointer-events: auto;
+        transform: translateY(0); }
+  .navbar-menu {
+    flex-grow: 1;
+    flex-shrink: 0; }
+  .navbar-start {
+    justify-content: flex-start;
+    margin-right: auto; }
+  .navbar-end {
+    justify-content: flex-end;
+    margin-left: auto; }
+  .navbar-dropdown {
+    background-color: white;
+    border-bottom-left-radius: 6px;
+    border-bottom-right-radius: 6px;
+    border-top: 2px solid #dbdbdb;
+    box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1);
+    display: none;
+    font-size: 0.875rem;
+    left: 0;
+    min-width: 100%;
+    position: absolute;
+    top: 100%;
+    z-index: 20; }
+    .navbar-dropdown .navbar-item {
+      padding: 0.375rem 1rem;
+      white-space: nowrap; }
+    .navbar-dropdown a.navbar-item {
+      padding-right: 3rem; }
+      .navbar-dropdown a.navbar-item:focus, .navbar-dropdown a.navbar-item:hover {
+        background-color: whitesmoke;
+        color: #0a0a0a; }
+      .navbar-dropdown a.navbar-item.is-active {
+        background-color: whitesmoke;
+        color: #2e63b8; }
+    .navbar.is-spaced .navbar-dropdown, .navbar-dropdown.is-boxed {
+      border-radius: 6px;
+      border-top: none;
+      box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+      display: block;
+      opacity: 0;
+      pointer-events: none;
+      top: calc(100% + (-4px));
+      transform: translateY(-5px);
+      transition-duration: 86ms;
+      transition-property: opacity, transform; }
+    .navbar-dropdown.is-right {
+      left: auto;
+      right: 0; }
+  .navbar-divider {
+    display: block; }
+  .navbar > .container .navbar-brand,
+  .container > .navbar .navbar-brand {
+    margin-left: -.75rem; }
+  .navbar > .container .navbar-menu,
+  .container > .navbar .navbar-menu {
+    margin-right: -.75rem; }
+  .navbar.is-fixed-bottom-desktop, .navbar.is-fixed-top-desktop {
+    left: 0;
+    position: fixed;
+    right: 0;
+    z-index: 30; }
+  .navbar.is-fixed-bottom-desktop {
+    bottom: 0; }
+    .navbar.is-fixed-bottom-desktop.has-shadow {
+      box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+  .navbar.is-fixed-top-desktop {
+    top: 0; }
+  html.has-navbar-fixed-top-desktop,
+  body.has-navbar-fixed-top-desktop {
+    padding-top: 3.25rem; }
+  html.has-navbar-fixed-bottom-desktop,
+  body.has-navbar-fixed-bottom-desktop {
+    padding-bottom: 3.25rem; }
+  html.has-spaced-navbar-fixed-top,
+  body.has-spaced-navbar-fixed-top {
+    padding-top: 5.25rem; }
+  html.has-spaced-navbar-fixed-bottom,
+  body.has-spaced-navbar-fixed-bottom {
+    padding-bottom: 5.25rem; }
+  a.navbar-item.is-active,
+  .navbar-link.is-active {
+    color: #0a0a0a; }
+  a.navbar-item.is-active:not(:focus):not(:hover),
+  .navbar-link.is-active:not(:focus):not(:hover) {
+    background-color: transparent; }
+  .navbar-item.has-dropdown:focus .navbar-link, .navbar-item.has-dropdown:hover .navbar-link, .navbar-item.has-dropdown.is-active .navbar-link {
+    background-color: #fafafa; } }
+
+.hero.is-fullheight-with-navbar {
+  min-height: calc(100vh - 3.25rem); }
+
+.pagination {
+  font-size: 1rem;
+  margin: -0.25rem; }
+  .pagination.is-small, #documenter .docs-sidebar form.docs-search > input.pagination {
+    font-size: 0.75rem; }
+  .pagination.is-medium {
+    font-size: 1.25rem; }
+  .pagination.is-large {
+    font-size: 1.5rem; }
+  .pagination.is-rounded .pagination-previous, #documenter .docs-sidebar form.docs-search > input.pagination .pagination-previous,
+  .pagination.is-rounded .pagination-next,
+  #documenter .docs-sidebar form.docs-search > input.pagination .pagination-next {
+    padding-left: 1em;
+    padding-right: 1em;
+    border-radius: 290486px; }
+  .pagination.is-rounded .pagination-link, #documenter .docs-sidebar form.docs-search > input.pagination .pagination-link {
+    border-radius: 290486px; }
+
+.pagination,
+.pagination-list {
+  align-items: center;
+  display: flex;
+  justify-content: center;
+  text-align: center; }
+
+.pagination-previous,
+.pagination-next,
+.pagination-link,
+.pagination-ellipsis {
+  font-size: 1em;
+  justify-content: center;
+  margin: 0.25rem;
+  padding-left: 0.5em;
+  padding-right: 0.5em;
+  text-align: center; }
+
+.pagination-previous,
+.pagination-next,
+.pagination-link {
+  border-color: #dbdbdb;
+  color: #363636;
+  min-width: 2.25em; }
+  .pagination-previous:hover,
+  .pagination-next:hover,
+  .pagination-link:hover {
+    border-color: #b5b5b5;
+    color: #363636; }
+  .pagination-previous:focus,
+  .pagination-next:focus,
+  .pagination-link:focus {
+    border-color: #3c5dcd; }
+  .pagination-previous:active,
+  .pagination-next:active,
+  .pagination-link:active {
+    box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2); }
+  .pagination-previous[disabled],
+  .pagination-next[disabled],
+  .pagination-link[disabled] {
+    background-color: #dbdbdb;
+    border-color: #dbdbdb;
+    box-shadow: none;
+    color: #6b6b6b;
+    opacity: 0.5; }
+
+.pagination-previous,
+.pagination-next {
+  padding-left: 0.75em;
+  padding-right: 0.75em;
+  white-space: nowrap; }
+
+.pagination-link.is-current {
+  background-color: #2e63b8;
+  border-color: #2e63b8;
+  color: #fff; }
+
+.pagination-ellipsis {
+  color: #b5b5b5;
+  pointer-events: none; }
+
+.pagination-list {
+  flex-wrap: wrap; }
+
+@media screen and (max-width: 768px) {
+  .pagination {
+    flex-wrap: wrap; }
+  .pagination-previous,
+  .pagination-next {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .pagination-list li {
+    flex-grow: 1;
+    flex-shrink: 1; } }
+
+@media screen and (min-width: 769px), print {
+  .pagination-list {
+    flex-grow: 1;
+    flex-shrink: 1;
+    justify-content: flex-start;
+    order: 1; }
+  .pagination-previous {
+    order: 2; }
+  .pagination-next {
+    order: 3; }
+  .pagination {
+    justify-content: space-between; }
+    .pagination.is-centered .pagination-previous {
+      order: 1; }
+    .pagination.is-centered .pagination-list {
+      justify-content: center;
+      order: 2; }
+    .pagination.is-centered .pagination-next {
+      order: 3; }
+    .pagination.is-right .pagination-previous {
+      order: 1; }
+    .pagination.is-right .pagination-next {
+      order: 2; }
+    .pagination.is-right .pagination-list {
+      justify-content: flex-end;
+      order: 3; } }
+
+.panel {
+  font-size: 1rem; }
+  .panel:not(:last-child) {
+    margin-bottom: 1.5rem; }
+
+.panel-heading,
+.panel-tabs,
+.panel-block {
+  border-bottom: 1px solid #dbdbdb;
+  border-left: 1px solid #dbdbdb;
+  border-right: 1px solid #dbdbdb; }
+  .panel-heading:first-child,
+  .panel-tabs:first-child,
+  .panel-block:first-child {
+    border-top: 1px solid #dbdbdb; }
+
+.panel-heading {
+  background-color: whitesmoke;
+  border-radius: 4px 4px 0 0;
+  color: #222222;
+  font-size: 1.25em;
+  font-weight: 300;
+  line-height: 1.25;
+  padding: 0.5em 0.75em; }
+
+.panel-tabs {
+  align-items: flex-end;
+  display: flex;
+  font-size: 0.875em;
+  justify-content: center; }
+  .panel-tabs a {
+    border-bottom: 1px solid #dbdbdb;
+    margin-bottom: -1px;
+    padding: 0.5em; }
+    .panel-tabs a.is-active {
+      border-bottom-color: #4a4a4a;
+      color: #363636; }
+
+.panel-list a {
+  color: #222222; }
+  .panel-list a:hover {
+    color: #2e63b8; }
+
+.panel-block {
+  align-items: center;
+  color: #222222;
+  display: flex;
+  justify-content: flex-start;
+  padding: 0.5em 0.75em; }
+  .panel-block input[type="checkbox"] {
+    margin-right: 0.75em; }
+  .panel-block > .control {
+    flex-grow: 1;
+    flex-shrink: 1;
+    width: 100%; }
+  .panel-block.is-wrapped {
+    flex-wrap: wrap; }
+  .panel-block.is-active {
+    border-left-color: #2e63b8;
+    color: #363636; }
+    .panel-block.is-active .panel-icon {
+      color: #2e63b8; }
+
+a.panel-block,
+label.panel-block {
+  cursor: pointer; }
+  a.panel-block:hover,
+  label.panel-block:hover {
+    background-color: whitesmoke; }
+
+.panel-icon {
+  display: inline-block;
+  font-size: 14px;
+  height: 1em;
+  line-height: 1em;
+  text-align: center;
+  vertical-align: top;
+  width: 1em;
+  color: #6b6b6b;
+  margin-right: 0.75em; }
+  .panel-icon .fa {
+    font-size: inherit;
+    line-height: inherit; }
+
+.tabs {
+  -webkit-overflow-scrolling: touch;
+  align-items: stretch;
+  display: flex;
+  font-size: 1rem;
+  justify-content: space-between;
+  overflow: hidden;
+  overflow-x: auto;
+  white-space: nowrap; }
+  .tabs a {
+    align-items: center;
+    border-bottom-color: #dbdbdb;
+    border-bottom-style: solid;
+    border-bottom-width: 1px;
+    color: #222222;
+    display: flex;
+    justify-content: center;
+    margin-bottom: -1px;
+    padding: 0.5em 1em;
+    vertical-align: top; }
+    .tabs a:hover {
+      border-bottom-color: #222222;
+      color: #222222; }
+  .tabs li {
+    display: block; }
+    .tabs li.is-active a {
+      border-bottom-color: #2e63b8;
+      color: #2e63b8; }
+  .tabs ul {
+    align-items: center;
+    border-bottom-color: #dbdbdb;
+    border-bottom-style: solid;
+    border-bottom-width: 1px;
+    display: flex;
+    flex-grow: 1;
+    flex-shrink: 0;
+    justify-content: flex-start; }
+    .tabs ul.is-left {
+      padding-right: 0.75em; }
+    .tabs ul.is-center {
+      flex: none;
+      justify-content: center;
+      padding-left: 0.75em;
+      padding-right: 0.75em; }
+    .tabs ul.is-right {
+      justify-content: flex-end;
+      padding-left: 0.75em; }
+  .tabs .icon:first-child {
+    margin-right: 0.5em; }
+  .tabs .icon:last-child {
+    margin-left: 0.5em; }
+  .tabs.is-centered ul {
+    justify-content: center; }
+  .tabs.is-right ul {
+    justify-content: flex-end; }
+  .tabs.is-boxed a {
+    border: 1px solid transparent;
+    border-radius: 4px 4px 0 0; }
+    .tabs.is-boxed a:hover {
+      background-color: whitesmoke;
+      border-bottom-color: #dbdbdb; }
+  .tabs.is-boxed li.is-active a {
+    background-color: white;
+    border-color: #dbdbdb;
+    border-bottom-color: transparent !important; }
+  .tabs.is-fullwidth li {
+    flex-grow: 1;
+    flex-shrink: 0; }
+  .tabs.is-toggle a {
+    border-color: #dbdbdb;
+    border-style: solid;
+    border-width: 1px;
+    margin-bottom: 0;
+    position: relative; }
+    .tabs.is-toggle a:hover {
+      background-color: whitesmoke;
+      border-color: #b5b5b5;
+      z-index: 2; }
+  .tabs.is-toggle li + li {
+    margin-left: -1px; }
+  .tabs.is-toggle li:first-child a {
+    border-radius: 4px 0 0 4px; }
+  .tabs.is-toggle li:last-child a {
+    border-radius: 0 4px 4px 0; }
+  .tabs.is-toggle li.is-active a {
+    background-color: #2e63b8;
+    border-color: #2e63b8;
+    color: #fff;
+    z-index: 1; }
+  .tabs.is-toggle ul {
+    border-bottom: none; }
+  .tabs.is-toggle.is-toggle-rounded li:first-child a {
+    border-bottom-left-radius: 290486px;
+    border-top-left-radius: 290486px;
+    padding-left: 1.25em; }
+  .tabs.is-toggle.is-toggle-rounded li:last-child a {
+    border-bottom-right-radius: 290486px;
+    border-top-right-radius: 290486px;
+    padding-right: 1.25em; }
+  .tabs.is-small, #documenter .docs-sidebar form.docs-search > input.tabs {
+    font-size: 0.75rem; }
+  .tabs.is-medium {
+    font-size: 1.25rem; }
+  .tabs.is-large {
+    font-size: 1.5rem; }
+
+.column {
+  display: block;
+  flex-basis: 0;
+  flex-grow: 1;
+  flex-shrink: 1;
+  padding: 0.75rem; }
+  .columns.is-mobile > .column.is-narrow {
+    flex: none; }
+  .columns.is-mobile > .column.is-full {
+    flex: none;
+    width: 100%; }
+  .columns.is-mobile > .column.is-three-quarters {
+    flex: none;
+    width: 75%; }
+  .columns.is-mobile > .column.is-two-thirds {
+    flex: none;
+    width: 66.6666%; }
+  .columns.is-mobile > .column.is-half {
+    flex: none;
+    width: 50%; }
+  .columns.is-mobile > .column.is-one-third {
+    flex: none;
+    width: 33.3333%; }
+  .columns.is-mobile > .column.is-one-quarter {
+    flex: none;
+    width: 25%; }
+  .columns.is-mobile > .column.is-one-fifth {
+    flex: none;
+    width: 20%; }
+  .columns.is-mobile > .column.is-two-fifths {
+    flex: none;
+    width: 40%; }
+  .columns.is-mobile > .column.is-three-fifths {
+    flex: none;
+    width: 60%; }
+  .columns.is-mobile > .column.is-four-fifths {
+    flex: none;
+    width: 80%; }
+  .columns.is-mobile > .column.is-offset-three-quarters {
+    margin-left: 75%; }
+  .columns.is-mobile > .column.is-offset-two-thirds {
+    margin-left: 66.6666%; }
+  .columns.is-mobile > .column.is-offset-half {
+    margin-left: 50%; }
+  .columns.is-mobile > .column.is-offset-one-third {
+    margin-left: 33.3333%; }
+  .columns.is-mobile > .column.is-offset-one-quarter {
+    margin-left: 25%; }
+  .columns.is-mobile > .column.is-offset-one-fifth {
+    margin-left: 20%; }
+  .columns.is-mobile > .column.is-offset-two-fifths {
+    margin-left: 40%; }
+  .columns.is-mobile > .column.is-offset-three-fifths {
+    margin-left: 60%; }
+  .columns.is-mobile > .column.is-offset-four-fifths {
+    margin-left: 80%; }
+  .columns.is-mobile > .column.is-0 {
+    flex: none;
+    width: 0%; }
+  .columns.is-mobile > .column.is-offset-0 {
+    margin-left: 0%; }
+  .columns.is-mobile > .column.is-1 {
+    flex: none;
+    width: 8.3333333333%; }
+  .columns.is-mobile > .column.is-offset-1 {
+    margin-left: 8.3333333333%; }
+  .columns.is-mobile > .column.is-2 {
+    flex: none;
+    width: 16.6666666667%; }
+  .columns.is-mobile > .column.is-offset-2 {
+    margin-left: 16.6666666667%; }
+  .columns.is-mobile > .column.is-3 {
+    flex: none;
+    width: 25%; }
+  .columns.is-mobile > .column.is-offset-3 {
+    margin-left: 25%; }
+  .columns.is-mobile > .column.is-4 {
+    flex: none;
+    width: 33.3333333333%; }
+  .columns.is-mobile > .column.is-offset-4 {
+    margin-left: 33.3333333333%; }
+  .columns.is-mobile > .column.is-5 {
+    flex: none;
+    width: 41.6666666667%; }
+  .columns.is-mobile > .column.is-offset-5 {
+    margin-left: 41.6666666667%; }
+  .columns.is-mobile > .column.is-6 {
+    flex: none;
+    width: 50%; }
+  .columns.is-mobile > .column.is-offset-6 {
+    margin-left: 50%; }
+  .columns.is-mobile > .column.is-7 {
+    flex: none;
+    width: 58.3333333333%; }
+  .columns.is-mobile > .column.is-offset-7 {
+    margin-left: 58.3333333333%; }
+  .columns.is-mobile > .column.is-8 {
+    flex: none;
+    width: 66.6666666667%; }
+  .columns.is-mobile > .column.is-offset-8 {
+    margin-left: 66.6666666667%; }
+  .columns.is-mobile > .column.is-9 {
+    flex: none;
+    width: 75%; }
+  .columns.is-mobile > .column.is-offset-9 {
+    margin-left: 75%; }
+  .columns.is-mobile > .column.is-10 {
+    flex: none;
+    width: 83.3333333333%; }
+  .columns.is-mobile > .column.is-offset-10 {
+    margin-left: 83.3333333333%; }
+  .columns.is-mobile > .column.is-11 {
+    flex: none;
+    width: 91.6666666667%; }
+  .columns.is-mobile > .column.is-offset-11 {
+    margin-left: 91.6666666667%; }
+  .columns.is-mobile > .column.is-12 {
+    flex: none;
+    width: 100%; }
+  .columns.is-mobile > .column.is-offset-12 {
+    margin-left: 100%; }
+  @media screen and (max-width: 768px) {
+    .column.is-narrow-mobile {
+      flex: none; }
+    .column.is-full-mobile {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-mobile {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-mobile {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-mobile {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-mobile {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-mobile {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-mobile {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-mobile {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-mobile {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-mobile {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-mobile {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-mobile {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-mobile {
+      margin-left: 50%; }
+    .column.is-offset-one-third-mobile {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-mobile {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-mobile {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-mobile {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-mobile {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-mobile {
+      margin-left: 80%; }
+    .column.is-0-mobile {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-mobile {
+      margin-left: 0%; }
+    .column.is-1-mobile {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-mobile {
+      margin-left: 8.3333333333%; }
+    .column.is-2-mobile {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-mobile {
+      margin-left: 16.6666666667%; }
+    .column.is-3-mobile {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-mobile {
+      margin-left: 25%; }
+    .column.is-4-mobile {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-mobile {
+      margin-left: 33.3333333333%; }
+    .column.is-5-mobile {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-mobile {
+      margin-left: 41.6666666667%; }
+    .column.is-6-mobile {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-mobile {
+      margin-left: 50%; }
+    .column.is-7-mobile {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-mobile {
+      margin-left: 58.3333333333%; }
+    .column.is-8-mobile {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-mobile {
+      margin-left: 66.6666666667%; }
+    .column.is-9-mobile {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-mobile {
+      margin-left: 75%; }
+    .column.is-10-mobile {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-mobile {
+      margin-left: 83.3333333333%; }
+    .column.is-11-mobile {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-mobile {
+      margin-left: 91.6666666667%; }
+    .column.is-12-mobile {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-mobile {
+      margin-left: 100%; } }
+  @media screen and (min-width: 769px), print {
+    .column.is-narrow, .column.is-narrow-tablet {
+      flex: none; }
+    .column.is-full, .column.is-full-tablet {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters, .column.is-three-quarters-tablet {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds, .column.is-two-thirds-tablet {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half, .column.is-half-tablet {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third, .column.is-one-third-tablet {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter, .column.is-one-quarter-tablet {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth, .column.is-one-fifth-tablet {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths, .column.is-two-fifths-tablet {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths, .column.is-three-fifths-tablet {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths, .column.is-four-fifths-tablet {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters, .column.is-offset-three-quarters-tablet {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds, .column.is-offset-two-thirds-tablet {
+      margin-left: 66.6666%; }
+    .column.is-offset-half, .column.is-offset-half-tablet {
+      margin-left: 50%; }
+    .column.is-offset-one-third, .column.is-offset-one-third-tablet {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter, .column.is-offset-one-quarter-tablet {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth, .column.is-offset-one-fifth-tablet {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths, .column.is-offset-two-fifths-tablet {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths, .column.is-offset-three-fifths-tablet {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths, .column.is-offset-four-fifths-tablet {
+      margin-left: 80%; }
+    .column.is-0, .column.is-0-tablet {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0, .column.is-offset-0-tablet {
+      margin-left: 0%; }
+    .column.is-1, .column.is-1-tablet {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1, .column.is-offset-1-tablet {
+      margin-left: 8.3333333333%; }
+    .column.is-2, .column.is-2-tablet {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2, .column.is-offset-2-tablet {
+      margin-left: 16.6666666667%; }
+    .column.is-3, .column.is-3-tablet {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3, .column.is-offset-3-tablet {
+      margin-left: 25%; }
+    .column.is-4, .column.is-4-tablet {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4, .column.is-offset-4-tablet {
+      margin-left: 33.3333333333%; }
+    .column.is-5, .column.is-5-tablet {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5, .column.is-offset-5-tablet {
+      margin-left: 41.6666666667%; }
+    .column.is-6, .column.is-6-tablet {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6, .column.is-offset-6-tablet {
+      margin-left: 50%; }
+    .column.is-7, .column.is-7-tablet {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7, .column.is-offset-7-tablet {
+      margin-left: 58.3333333333%; }
+    .column.is-8, .column.is-8-tablet {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8, .column.is-offset-8-tablet {
+      margin-left: 66.6666666667%; }
+    .column.is-9, .column.is-9-tablet {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9, .column.is-offset-9-tablet {
+      margin-left: 75%; }
+    .column.is-10, .column.is-10-tablet {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10, .column.is-offset-10-tablet {
+      margin-left: 83.3333333333%; }
+    .column.is-11, .column.is-11-tablet {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11, .column.is-offset-11-tablet {
+      margin-left: 91.6666666667%; }
+    .column.is-12, .column.is-12-tablet {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12, .column.is-offset-12-tablet {
+      margin-left: 100%; } }
+  @media screen and (max-width: 1055px) {
+    .column.is-narrow-touch {
+      flex: none; }
+    .column.is-full-touch {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-touch {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-touch {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-touch {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-touch {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-touch {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-touch {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-touch {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-touch {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-touch {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-touch {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-touch {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-touch {
+      margin-left: 50%; }
+    .column.is-offset-one-third-touch {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-touch {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-touch {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-touch {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-touch {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-touch {
+      margin-left: 80%; }
+    .column.is-0-touch {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-touch {
+      margin-left: 0%; }
+    .column.is-1-touch {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-touch {
+      margin-left: 8.3333333333%; }
+    .column.is-2-touch {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-touch {
+      margin-left: 16.6666666667%; }
+    .column.is-3-touch {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-touch {
+      margin-left: 25%; }
+    .column.is-4-touch {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-touch {
+      margin-left: 33.3333333333%; }
+    .column.is-5-touch {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-touch {
+      margin-left: 41.6666666667%; }
+    .column.is-6-touch {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-touch {
+      margin-left: 50%; }
+    .column.is-7-touch {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-touch {
+      margin-left: 58.3333333333%; }
+    .column.is-8-touch {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-touch {
+      margin-left: 66.6666666667%; }
+    .column.is-9-touch {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-touch {
+      margin-left: 75%; }
+    .column.is-10-touch {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-touch {
+      margin-left: 83.3333333333%; }
+    .column.is-11-touch {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-touch {
+      margin-left: 91.6666666667%; }
+    .column.is-12-touch {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-touch {
+      margin-left: 100%; } }
+  @media screen and (min-width: 1056px) {
+    .column.is-narrow-desktop {
+      flex: none; }
+    .column.is-full-desktop {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-desktop {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-desktop {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-desktop {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-desktop {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-desktop {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-desktop {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-desktop {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-desktop {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-desktop {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-desktop {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-desktop {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-desktop {
+      margin-left: 50%; }
+    .column.is-offset-one-third-desktop {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-desktop {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-desktop {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-desktop {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-desktop {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-desktop {
+      margin-left: 80%; }
+    .column.is-0-desktop {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-desktop {
+      margin-left: 0%; }
+    .column.is-1-desktop {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-desktop {
+      margin-left: 8.3333333333%; }
+    .column.is-2-desktop {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-desktop {
+      margin-left: 16.6666666667%; }
+    .column.is-3-desktop {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-desktop {
+      margin-left: 25%; }
+    .column.is-4-desktop {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-desktop {
+      margin-left: 33.3333333333%; }
+    .column.is-5-desktop {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-desktop {
+      margin-left: 41.6666666667%; }
+    .column.is-6-desktop {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-desktop {
+      margin-left: 50%; }
+    .column.is-7-desktop {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-desktop {
+      margin-left: 58.3333333333%; }
+    .column.is-8-desktop {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-desktop {
+      margin-left: 66.6666666667%; }
+    .column.is-9-desktop {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-desktop {
+      margin-left: 75%; }
+    .column.is-10-desktop {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-desktop {
+      margin-left: 83.3333333333%; }
+    .column.is-11-desktop {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-desktop {
+      margin-left: 91.6666666667%; }
+    .column.is-12-desktop {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-desktop {
+      margin-left: 100%; } }
+  @media screen and (min-width: 1216px) {
+    .column.is-narrow-widescreen {
+      flex: none; }
+    .column.is-full-widescreen {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-widescreen {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-widescreen {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-widescreen {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-widescreen {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-widescreen {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-widescreen {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-widescreen {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-widescreen {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-widescreen {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-widescreen {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-widescreen {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-widescreen {
+      margin-left: 50%; }
+    .column.is-offset-one-third-widescreen {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-widescreen {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-widescreen {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-widescreen {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-widescreen {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-widescreen {
+      margin-left: 80%; }
+    .column.is-0-widescreen {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-widescreen {
+      margin-left: 0%; }
+    .column.is-1-widescreen {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-widescreen {
+      margin-left: 8.3333333333%; }
+    .column.is-2-widescreen {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-widescreen {
+      margin-left: 16.6666666667%; }
+    .column.is-3-widescreen {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-widescreen {
+      margin-left: 25%; }
+    .column.is-4-widescreen {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-widescreen {
+      margin-left: 33.3333333333%; }
+    .column.is-5-widescreen {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-widescreen {
+      margin-left: 41.6666666667%; }
+    .column.is-6-widescreen {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-widescreen {
+      margin-left: 50%; }
+    .column.is-7-widescreen {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-widescreen {
+      margin-left: 58.3333333333%; }
+    .column.is-8-widescreen {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-widescreen {
+      margin-left: 66.6666666667%; }
+    .column.is-9-widescreen {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-widescreen {
+      margin-left: 75%; }
+    .column.is-10-widescreen {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-widescreen {
+      margin-left: 83.3333333333%; }
+    .column.is-11-widescreen {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-widescreen {
+      margin-left: 91.6666666667%; }
+    .column.is-12-widescreen {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-widescreen {
+      margin-left: 100%; } }
+  @media screen and (min-width: 1408px) {
+    .column.is-narrow-fullhd {
+      flex: none; }
+    .column.is-full-fullhd {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-fullhd {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-fullhd {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-fullhd {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-fullhd {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-fullhd {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-fullhd {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-fullhd {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-fullhd {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-fullhd {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-fullhd {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-fullhd {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-fullhd {
+      margin-left: 50%; }
+    .column.is-offset-one-third-fullhd {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-fullhd {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-fullhd {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-fullhd {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-fullhd {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-fullhd {
+      margin-left: 80%; }
+    .column.is-0-fullhd {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-fullhd {
+      margin-left: 0%; }
+    .column.is-1-fullhd {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-fullhd {
+      margin-left: 8.3333333333%; }
+    .column.is-2-fullhd {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-fullhd {
+      margin-left: 16.6666666667%; }
+    .column.is-3-fullhd {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-fullhd {
+      margin-left: 25%; }
+    .column.is-4-fullhd {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-fullhd {
+      margin-left: 33.3333333333%; }
+    .column.is-5-fullhd {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-fullhd {
+      margin-left: 41.6666666667%; }
+    .column.is-6-fullhd {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-fullhd {
+      margin-left: 50%; }
+    .column.is-7-fullhd {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-fullhd {
+      margin-left: 58.3333333333%; }
+    .column.is-8-fullhd {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-fullhd {
+      margin-left: 66.6666666667%; }
+    .column.is-9-fullhd {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-fullhd {
+      margin-left: 75%; }
+    .column.is-10-fullhd {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-fullhd {
+      margin-left: 83.3333333333%; }
+    .column.is-11-fullhd {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-fullhd {
+      margin-left: 91.6666666667%; }
+    .column.is-12-fullhd {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-fullhd {
+      margin-left: 100%; } }
+.columns {
+  margin-left: -0.75rem;
+  margin-right: -0.75rem;
+  margin-top: -0.75rem; }
+  .columns:last-child {
+    margin-bottom: -0.75rem; }
+  .columns:not(:last-child) {
+    margin-bottom: calc(1.5rem - 0.75rem); }
+  .columns.is-centered {
+    justify-content: center; }
+  .columns.is-gapless {
+    margin-left: 0;
+    margin-right: 0;
+    margin-top: 0; }
+    .columns.is-gapless > .column {
+      margin: 0;
+      padding: 0 !important; }
+    .columns.is-gapless:not(:last-child) {
+      margin-bottom: 1.5rem; }
+    .columns.is-gapless:last-child {
+      margin-bottom: 0; }
+  .columns.is-mobile {
+    display: flex; }
+  .columns.is-multiline {
+    flex-wrap: wrap; }
+  .columns.is-vcentered {
+    align-items: center; }
+  @media screen and (min-width: 769px), print {
+    .columns:not(.is-desktop) {
+      display: flex; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-desktop {
+      display: flex; } }
+.columns.is-variable {
+  --columnGap: 0.75rem;
+  margin-left: calc(-1 * var(--columnGap));
+  margin-right: calc(-1 * var(--columnGap)); }
+  .columns.is-variable .column {
+    padding-left: var(--columnGap);
+    padding-right: var(--columnGap); }
+  .columns.is-variable.is-0 {
+    --columnGap: 0rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-0-mobile {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-0-tablet {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-0-tablet-only {
+      --columnGap: 0rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-0-touch {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-0-desktop {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-0-desktop-only {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-0-widescreen {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-0-widescreen-only {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-0-fullhd {
+      --columnGap: 0rem; } }
+  .columns.is-variable.is-1 {
+    --columnGap: 0.25rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-1-mobile {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-1-tablet {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-1-tablet-only {
+      --columnGap: 0.25rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-1-touch {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-1-desktop {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-1-desktop-only {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-1-widescreen {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-1-widescreen-only {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-1-fullhd {
+      --columnGap: 0.25rem; } }
+  .columns.is-variable.is-2 {
+    --columnGap: 0.5rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-2-mobile {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-2-tablet {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-2-tablet-only {
+      --columnGap: 0.5rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-2-touch {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-2-desktop {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-2-desktop-only {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-2-widescreen {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-2-widescreen-only {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-2-fullhd {
+      --columnGap: 0.5rem; } }
+  .columns.is-variable.is-3 {
+    --columnGap: 0.75rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-3-mobile {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-3-tablet {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-3-tablet-only {
+      --columnGap: 0.75rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-3-touch {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-3-desktop {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-3-desktop-only {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-3-widescreen {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-3-widescreen-only {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-3-fullhd {
+      --columnGap: 0.75rem; } }
+  .columns.is-variable.is-4 {
+    --columnGap: 1rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-4-mobile {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-4-tablet {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-4-tablet-only {
+      --columnGap: 1rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-4-touch {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-4-desktop {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-4-desktop-only {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-4-widescreen {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-4-widescreen-only {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-4-fullhd {
+      --columnGap: 1rem; } }
+  .columns.is-variable.is-5 {
+    --columnGap: 1.25rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-5-mobile {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-5-tablet {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-5-tablet-only {
+      --columnGap: 1.25rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-5-touch {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-5-desktop {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-5-desktop-only {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-5-widescreen {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-5-widescreen-only {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-5-fullhd {
+      --columnGap: 1.25rem; } }
+  .columns.is-variable.is-6 {
+    --columnGap: 1.5rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-6-mobile {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-6-tablet {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-6-tablet-only {
+      --columnGap: 1.5rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-6-touch {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-6-desktop {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-6-desktop-only {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-6-widescreen {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-6-widescreen-only {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-6-fullhd {
+      --columnGap: 1.5rem; } }
+  .columns.is-variable.is-7 {
+    --columnGap: 1.75rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-7-mobile {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-7-tablet {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-7-tablet-only {
+      --columnGap: 1.75rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-7-touch {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-7-desktop {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-7-desktop-only {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-7-widescreen {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-7-widescreen-only {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-7-fullhd {
+      --columnGap: 1.75rem; } }
+  .columns.is-variable.is-8 {
+    --columnGap: 2rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-8-mobile {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-8-tablet {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-8-tablet-only {
+      --columnGap: 2rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-8-touch {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-8-desktop {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-8-desktop-only {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-8-widescreen {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-8-widescreen-only {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-8-fullhd {
+      --columnGap: 2rem; } }
+.tile {
+  align-items: stretch;
+  display: block;
+  flex-basis: 0;
+  flex-grow: 1;
+  flex-shrink: 1;
+  min-height: min-content; }
+  .tile.is-ancestor {
+    margin-left: -0.75rem;
+    margin-right: -0.75rem;
+    margin-top: -0.75rem; }
+    .tile.is-ancestor:last-child {
+      margin-bottom: -0.75rem; }
+    .tile.is-ancestor:not(:last-child) {
+      margin-bottom: 0.75rem; }
+  .tile.is-child {
+    margin: 0 !important; }
+  .tile.is-parent {
+    padding: 0.75rem; }
+  .tile.is-vertical {
+    flex-direction: column; }
+    .tile.is-vertical > .tile.is-child:not(:last-child) {
+      margin-bottom: 1.5rem !important; }
+  @media screen and (min-width: 769px), print {
+    .tile:not(.is-child) {
+      display: flex; }
+    .tile.is-1 {
+      flex: none;
+      width: 8.3333333333%; }
+    .tile.is-2 {
+      flex: none;
+      width: 16.6666666667%; }
+    .tile.is-3 {
+      flex: none;
+      width: 25%; }
+    .tile.is-4 {
+      flex: none;
+      width: 33.3333333333%; }
+    .tile.is-5 {
+      flex: none;
+      width: 41.6666666667%; }
+    .tile.is-6 {
+      flex: none;
+      width: 50%; }
+    .tile.is-7 {
+      flex: none;
+      width: 58.3333333333%; }
+    .tile.is-8 {
+      flex: none;
+      width: 66.6666666667%; }
+    .tile.is-9 {
+      flex: none;
+      width: 75%; }
+    .tile.is-10 {
+      flex: none;
+      width: 83.3333333333%; }
+    .tile.is-11 {
+      flex: none;
+      width: 91.6666666667%; }
+    .tile.is-12 {
+      flex: none;
+      width: 100%; } }
+.hero {
+  align-items: stretch;
+  display: flex;
+  flex-direction: column;
+  justify-content: space-between; }
+  .hero .navbar {
+    background: none; }
+  .hero .tabs ul {
+    border-bottom: none; }
+  .hero.is-white {
+    background-color: white;
+    color: #0a0a0a; }
+    .hero.is-white a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-white strong {
+      color: inherit; }
+    .hero.is-white .title {
+      color: #0a0a0a; }
+    .hero.is-white .subtitle {
+      color: rgba(10, 10, 10, 0.9); }
+      .hero.is-white .subtitle a:not(.button),
+      .hero.is-white .subtitle strong {
+        color: #0a0a0a; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-white .navbar-menu {
+        background-color: white; } }
+    .hero.is-white .navbar-item,
+    .hero.is-white .navbar-link {
+      color: rgba(10, 10, 10, 0.7); }
+    .hero.is-white a.navbar-item:hover, .hero.is-white a.navbar-item.is-active,
+    .hero.is-white .navbar-link:hover,
+    .hero.is-white .navbar-link.is-active {
+      background-color: #f2f2f2;
+      color: #0a0a0a; }
+    .hero.is-white .tabs a {
+      color: #0a0a0a;
+      opacity: 0.9; }
+      .hero.is-white .tabs a:hover {
+        opacity: 1; }
+    .hero.is-white .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-white .tabs.is-boxed a, .hero.is-white .tabs.is-toggle a {
+      color: #0a0a0a; }
+      .hero.is-white .tabs.is-boxed a:hover, .hero.is-white .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-white .tabs.is-boxed li.is-active a, .hero.is-white .tabs.is-boxed li.is-active a:hover, .hero.is-white .tabs.is-toggle li.is-active a, .hero.is-white .tabs.is-toggle li.is-active a:hover {
+      background-color: #0a0a0a;
+      border-color: #0a0a0a;
+      color: white; }
+    .hero.is-white.is-bold {
+      background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-white.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); } }
+  .hero.is-black {
+    background-color: #0a0a0a;
+    color: white; }
+    .hero.is-black a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-black strong {
+      color: inherit; }
+    .hero.is-black .title {
+      color: white; }
+    .hero.is-black .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-black .subtitle a:not(.button),
+      .hero.is-black .subtitle strong {
+        color: white; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-black .navbar-menu {
+        background-color: #0a0a0a; } }
+    .hero.is-black .navbar-item,
+    .hero.is-black .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-black a.navbar-item:hover, .hero.is-black a.navbar-item.is-active,
+    .hero.is-black .navbar-link:hover,
+    .hero.is-black .navbar-link.is-active {
+      background-color: black;
+      color: white; }
+    .hero.is-black .tabs a {
+      color: white;
+      opacity: 0.9; }
+      .hero.is-black .tabs a:hover {
+        opacity: 1; }
+    .hero.is-black .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-black .tabs.is-boxed a, .hero.is-black .tabs.is-toggle a {
+      color: white; }
+      .hero.is-black .tabs.is-boxed a:hover, .hero.is-black .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-black .tabs.is-boxed li.is-active a, .hero.is-black .tabs.is-boxed li.is-active a:hover, .hero.is-black .tabs.is-toggle li.is-active a, .hero.is-black .tabs.is-toggle li.is-active a:hover {
+      background-color: white;
+      border-color: white;
+      color: #0a0a0a; }
+    .hero.is-black.is-bold {
+      background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-black.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } }
+  .hero.is-light {
+    background-color: whitesmoke;
+    color: #363636; }
+    .hero.is-light a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-light strong {
+      color: inherit; }
+    .hero.is-light .title {
+      color: #363636; }
+    .hero.is-light .subtitle {
+      color: rgba(54, 54, 54, 0.9); }
+      .hero.is-light .subtitle a:not(.button),
+      .hero.is-light .subtitle strong {
+        color: #363636; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-light .navbar-menu {
+        background-color: whitesmoke; } }
+    .hero.is-light .navbar-item,
+    .hero.is-light .navbar-link {
+      color: rgba(54, 54, 54, 0.7); }
+    .hero.is-light a.navbar-item:hover, .hero.is-light a.navbar-item.is-active,
+    .hero.is-light .navbar-link:hover,
+    .hero.is-light .navbar-link.is-active {
+      background-color: #e8e8e8;
+      color: #363636; }
+    .hero.is-light .tabs a {
+      color: #363636;
+      opacity: 0.9; }
+      .hero.is-light .tabs a:hover {
+        opacity: 1; }
+    .hero.is-light .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-light .tabs.is-boxed a, .hero.is-light .tabs.is-toggle a {
+      color: #363636; }
+      .hero.is-light .tabs.is-boxed a:hover, .hero.is-light .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-light .tabs.is-boxed li.is-active a, .hero.is-light .tabs.is-boxed li.is-active a:hover, .hero.is-light .tabs.is-toggle li.is-active a, .hero.is-light .tabs.is-toggle li.is-active a:hover {
+      background-color: #363636;
+      border-color: #363636;
+      color: whitesmoke; }
+    .hero.is-light.is-bold {
+      background-image: linear-gradient(141deg, #dfd8d9 0%, whitesmoke 71%, white 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-light.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #dfd8d9 0%, whitesmoke 71%, white 100%); } }
+  .hero.is-dark, .content kbd.hero {
+    background-color: #363636;
+    color: whitesmoke; }
+    .hero.is-dark a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), .content kbd.hero a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-dark strong,
+    .content kbd.hero strong {
+      color: inherit; }
+    .hero.is-dark .title, .content kbd.hero .title {
+      color: whitesmoke; }
+    .hero.is-dark .subtitle, .content kbd.hero .subtitle {
+      color: rgba(245, 245, 245, 0.9); }
+      .hero.is-dark .subtitle a:not(.button), .content kbd.hero .subtitle a:not(.button),
+      .hero.is-dark .subtitle strong,
+      .content kbd.hero .subtitle strong {
+        color: whitesmoke; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-dark .navbar-menu, .content kbd.hero .navbar-menu {
+        background-color: #363636; } }
+    .hero.is-dark .navbar-item, .content kbd.hero .navbar-item,
+    .hero.is-dark .navbar-link,
+    .content kbd.hero .navbar-link {
+      color: rgba(245, 245, 245, 0.7); }
+    .hero.is-dark a.navbar-item:hover, .content kbd.hero a.navbar-item:hover, .hero.is-dark a.navbar-item.is-active, .content kbd.hero a.navbar-item.is-active,
+    .hero.is-dark .navbar-link:hover,
+    .content kbd.hero .navbar-link:hover,
+    .hero.is-dark .navbar-link.is-active,
+    .content kbd.hero .navbar-link.is-active {
+      background-color: #292929;
+      color: whitesmoke; }
+    .hero.is-dark .tabs a, .content kbd.hero .tabs a {
+      color: whitesmoke;
+      opacity: 0.9; }
+      .hero.is-dark .tabs a:hover, .content kbd.hero .tabs a:hover {
+        opacity: 1; }
+    .hero.is-dark .tabs li.is-active a, .content kbd.hero .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-dark .tabs.is-boxed a, .content kbd.hero .tabs.is-boxed a, .hero.is-dark .tabs.is-toggle a, .content kbd.hero .tabs.is-toggle a {
+      color: whitesmoke; }
+      .hero.is-dark .tabs.is-boxed a:hover, .content kbd.hero .tabs.is-boxed a:hover, .hero.is-dark .tabs.is-toggle a:hover, .content kbd.hero .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-dark .tabs.is-boxed li.is-active a, .content kbd.hero .tabs.is-boxed li.is-active a, .hero.is-dark .tabs.is-boxed li.is-active a:hover, .hero.is-dark .tabs.is-toggle li.is-active a, .content kbd.hero .tabs.is-toggle li.is-active a, .hero.is-dark .tabs.is-toggle li.is-active a:hover {
+      background-color: whitesmoke;
+      border-color: whitesmoke;
+      color: #363636; }
+    .hero.is-dark.is-bold, .content kbd.hero.is-bold {
+      background-image: linear-gradient(141deg, #1f191a 0%, #363636 71%, #46403f 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-dark.is-bold .navbar-menu, .content kbd.hero.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #1f191a 0%, #363636 71%, #46403f 100%); } }
+  .hero.is-primary, .docstring > section > a.hero.docs-sourcelink {
+    background-color: #4eb5de;
+    color: #fff; }
+    .hero.is-primary a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), .docstring > section > a.hero.docs-sourcelink a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-primary strong,
+    .docstring > section > a.hero.docs-sourcelink strong {
+      color: inherit; }
+    .hero.is-primary .title, .docstring > section > a.hero.docs-sourcelink .title {
+      color: #fff; }
+    .hero.is-primary .subtitle, .docstring > section > a.hero.docs-sourcelink .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-primary .subtitle a:not(.button), .docstring > section > a.hero.docs-sourcelink .subtitle a:not(.button),
+      .hero.is-primary .subtitle strong,
+      .docstring > section > a.hero.docs-sourcelink .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-primary .navbar-menu, .docstring > section > a.hero.docs-sourcelink .navbar-menu {
+        background-color: #4eb5de; } }
+    .hero.is-primary .navbar-item, .docstring > section > a.hero.docs-sourcelink .navbar-item,
+    .hero.is-primary .navbar-link,
+    .docstring > section > a.hero.docs-sourcelink .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-primary a.navbar-item:hover, .docstring > section > a.hero.docs-sourcelink a.navbar-item:hover, .hero.is-primary a.navbar-item.is-active, .docstring > section > a.hero.docs-sourcelink a.navbar-item.is-active,
+    .hero.is-primary .navbar-link:hover,
+    .docstring > section > a.hero.docs-sourcelink .navbar-link:hover,
+    .hero.is-primary .navbar-link.is-active,
+    .docstring > section > a.hero.docs-sourcelink .navbar-link.is-active {
+      background-color: #39acda;
+      color: #fff; }
+    .hero.is-primary .tabs a, .docstring > section > a.hero.docs-sourcelink .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-primary .tabs a:hover, .docstring > section > a.hero.docs-sourcelink .tabs a:hover {
+        opacity: 1; }
+    .hero.is-primary .tabs li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-primary .tabs.is-boxed a, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a, .hero.is-primary .tabs.is-toggle a, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-primary .tabs.is-boxed a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a:hover, .hero.is-primary .tabs.is-toggle a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-primary .tabs.is-boxed li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a, .hero.is-primary .tabs.is-boxed li.is-active a:hover, .hero.is-primary .tabs.is-toggle li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a, .hero.is-primary .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #4eb5de; }
+    .hero.is-primary.is-bold, .docstring > section > a.hero.is-bold.docs-sourcelink {
+      background-image: linear-gradient(141deg, #1bc7de 0%, #4eb5de 71%, #5fa9e7 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-primary.is-bold .navbar-menu, .docstring > section > a.hero.is-bold.docs-sourcelink .navbar-menu {
+          background-image: linear-gradient(141deg, #1bc7de 0%, #4eb5de 71%, #5fa9e7 100%); } }
+  .hero.is-link {
+    background-color: #2e63b8;
+    color: #fff; }
+    .hero.is-link a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-link strong {
+      color: inherit; }
+    .hero.is-link .title {
+      color: #fff; }
+    .hero.is-link .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-link .subtitle a:not(.button),
+      .hero.is-link .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-link .navbar-menu {
+        background-color: #2e63b8; } }
+    .hero.is-link .navbar-item,
+    .hero.is-link .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-link a.navbar-item:hover, .hero.is-link a.navbar-item.is-active,
+    .hero.is-link .navbar-link:hover,
+    .hero.is-link .navbar-link.is-active {
+      background-color: #2958a4;
+      color: #fff; }
+    .hero.is-link .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-link .tabs a:hover {
+        opacity: 1; }
+    .hero.is-link .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-link .tabs.is-boxed a, .hero.is-link .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-link .tabs.is-boxed a:hover, .hero.is-link .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-link .tabs.is-boxed li.is-active a, .hero.is-link .tabs.is-boxed li.is-active a:hover, .hero.is-link .tabs.is-toggle li.is-active a, .hero.is-link .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #2e63b8; }
+    .hero.is-link.is-bold {
+      background-image: linear-gradient(141deg, #1b6098 0%, #2e63b8 71%, #2d51d2 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-link.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #1b6098 0%, #2e63b8 71%, #2d51d2 100%); } }
+  .hero.is-info {
+    background-color: #209cee;
+    color: #fff; }
+    .hero.is-info a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-info strong {
+      color: inherit; }
+    .hero.is-info .title {
+      color: #fff; }
+    .hero.is-info .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-info .subtitle a:not(.button),
+      .hero.is-info .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-info .navbar-menu {
+        background-color: #209cee; } }
+    .hero.is-info .navbar-item,
+    .hero.is-info .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-info a.navbar-item:hover, .hero.is-info a.navbar-item.is-active,
+    .hero.is-info .navbar-link:hover,
+    .hero.is-info .navbar-link.is-active {
+      background-color: #1190e3;
+      color: #fff; }
+    .hero.is-info .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-info .tabs a:hover {
+        opacity: 1; }
+    .hero.is-info .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-info .tabs.is-boxed a, .hero.is-info .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-info .tabs.is-boxed a:hover, .hero.is-info .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-info .tabs.is-boxed li.is-active a, .hero.is-info .tabs.is-boxed li.is-active a:hover, .hero.is-info .tabs.is-toggle li.is-active a, .hero.is-info .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #209cee; }
+    .hero.is-info.is-bold {
+      background-image: linear-gradient(141deg, #05a6d6 0%, #209cee 71%, #3287f5 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-info.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #05a6d6 0%, #209cee 71%, #3287f5 100%); } }
+  .hero.is-success {
+    background-color: #22c35b;
+    color: #fff; }
+    .hero.is-success a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-success strong {
+      color: inherit; }
+    .hero.is-success .title {
+      color: #fff; }
+    .hero.is-success .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-success .subtitle a:not(.button),
+      .hero.is-success .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-success .navbar-menu {
+        background-color: #22c35b; } }
+    .hero.is-success .navbar-item,
+    .hero.is-success .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-success a.navbar-item:hover, .hero.is-success a.navbar-item.is-active,
+    .hero.is-success .navbar-link:hover,
+    .hero.is-success .navbar-link.is-active {
+      background-color: #1ead51;
+      color: #fff; }
+    .hero.is-success .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-success .tabs a:hover {
+        opacity: 1; }
+    .hero.is-success .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-success .tabs.is-boxed a, .hero.is-success .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-success .tabs.is-boxed a:hover, .hero.is-success .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-success .tabs.is-boxed li.is-active a, .hero.is-success .tabs.is-boxed li.is-active a:hover, .hero.is-success .tabs.is-toggle li.is-active a, .hero.is-success .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #22c35b; }
+    .hero.is-success.is-bold {
+      background-image: linear-gradient(141deg, #12a02c 0%, #22c35b 71%, #1fdf83 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-success.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #12a02c 0%, #22c35b 71%, #1fdf83 100%); } }
+  .hero.is-warning {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-warning strong {
+      color: inherit; }
+    .hero.is-warning .title {
+      color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning .subtitle {
+      color: rgba(0, 0, 0, 0.9); }
+      .hero.is-warning .subtitle a:not(.button),
+      .hero.is-warning .subtitle strong {
+        color: rgba(0, 0, 0, 0.7); }
+    @media screen and (max-width: 1055px) {
+      .hero.is-warning .navbar-menu {
+        background-color: #ffdd57; } }
+    .hero.is-warning .navbar-item,
+    .hero.is-warning .navbar-link {
+      color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning a.navbar-item:hover, .hero.is-warning a.navbar-item.is-active,
+    .hero.is-warning .navbar-link:hover,
+    .hero.is-warning .navbar-link.is-active {
+      background-color: #ffd83e;
+      color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning .tabs a {
+      color: rgba(0, 0, 0, 0.7);
+      opacity: 0.9; }
+      .hero.is-warning .tabs a:hover {
+        opacity: 1; }
+    .hero.is-warning .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-warning .tabs.is-boxed a, .hero.is-warning .tabs.is-toggle a {
+      color: rgba(0, 0, 0, 0.7); }
+      .hero.is-warning .tabs.is-boxed a:hover, .hero.is-warning .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-warning .tabs.is-boxed li.is-active a, .hero.is-warning .tabs.is-boxed li.is-active a:hover, .hero.is-warning .tabs.is-toggle li.is-active a, .hero.is-warning .tabs.is-toggle li.is-active a:hover {
+      background-color: rgba(0, 0, 0, 0.7);
+      border-color: rgba(0, 0, 0, 0.7);
+      color: #ffdd57; }
+    .hero.is-warning.is-bold {
+      background-image: linear-gradient(141deg, #ffae24 0%, #ffdd57 71%, #fffa71 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-warning.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #ffae24 0%, #ffdd57 71%, #fffa71 100%); } }
+  .hero.is-danger {
+    background-color: #da0b00;
+    color: #fff; }
+    .hero.is-danger a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-danger strong {
+      color: inherit; }
+    .hero.is-danger .title {
+      color: #fff; }
+    .hero.is-danger .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-danger .subtitle a:not(.button),
+      .hero.is-danger .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-danger .navbar-menu {
+        background-color: #da0b00; } }
+    .hero.is-danger .navbar-item,
+    .hero.is-danger .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-danger a.navbar-item:hover, .hero.is-danger a.navbar-item.is-active,
+    .hero.is-danger .navbar-link:hover,
+    .hero.is-danger .navbar-link.is-active {
+      background-color: #c10a00;
+      color: #fff; }
+    .hero.is-danger .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-danger .tabs a:hover {
+        opacity: 1; }
+    .hero.is-danger .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-danger .tabs.is-boxed a, .hero.is-danger .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-danger .tabs.is-boxed a:hover, .hero.is-danger .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-danger .tabs.is-boxed li.is-active a, .hero.is-danger .tabs.is-boxed li.is-active a:hover, .hero.is-danger .tabs.is-toggle li.is-active a, .hero.is-danger .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #da0b00; }
+    .hero.is-danger.is-bold {
+      background-image: linear-gradient(141deg, #a70013 0%, #da0b00 71%, #f43500 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-danger.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #a70013 0%, #da0b00 71%, #f43500 100%); } }
+  .hero.is-small .hero-body, #documenter .docs-sidebar form.docs-search > input.hero .hero-body {
+    padding-bottom: 1.5rem;
+    padding-top: 1.5rem; }
+  @media screen and (min-width: 769px), print {
+    .hero.is-medium .hero-body {
+      padding-bottom: 9rem;
+      padding-top: 9rem; } }
+  @media screen and (min-width: 769px), print {
+    .hero.is-large .hero-body {
+      padding-bottom: 18rem;
+      padding-top: 18rem; } }
+  .hero.is-halfheight .hero-body, .hero.is-fullheight .hero-body, .hero.is-fullheight-with-navbar .hero-body {
+    align-items: center;
+    display: flex; }
+    .hero.is-halfheight .hero-body > .container, .hero.is-fullheight .hero-body > .container, .hero.is-fullheight-with-navbar .hero-body > .container {
+      flex-grow: 1;
+      flex-shrink: 1; }
+  .hero.is-halfheight {
+    min-height: 50vh; }
+  .hero.is-fullheight {
+    min-height: 100vh; }
+
+.hero-video {
+  overflow: hidden; }
+  .hero-video video {
+    left: 50%;
+    min-height: 100%;
+    min-width: 100%;
+    position: absolute;
+    top: 50%;
+    transform: translate3d(-50%, -50%, 0); }
+  .hero-video.is-transparent {
+    opacity: 0.3; }
+  @media screen and (max-width: 768px) {
+    .hero-video {
+      display: none; } }
+.hero-buttons {
+  margin-top: 1.5rem; }
+  @media screen and (max-width: 768px) {
+    .hero-buttons .button {
+      display: flex; }
+      .hero-buttons .button:not(:last-child) {
+        margin-bottom: 0.75rem; } }
+  @media screen and (min-width: 769px), print {
+    .hero-buttons {
+      display: flex;
+      justify-content: center; }
+      .hero-buttons .button:not(:last-child) {
+        margin-right: 1.5rem; } }
+.hero-head,
+.hero-foot {
+  flex-grow: 0;
+  flex-shrink: 0; }
+
+.hero-body {
+  flex-grow: 1;
+  flex-shrink: 0;
+  padding: 3rem 1.5rem; }
+
+.section {
+  padding: 3rem 1.5rem; }
+  @media screen and (min-width: 1056px) {
+    .section.is-medium {
+      padding: 9rem 1.5rem; }
+    .section.is-large {
+      padding: 18rem 1.5rem; } }
+.footer {
+  background-color: #fafafa;
+  padding: 3rem 1.5rem 6rem; }
+
+h1 .docs-heading-anchor, h1 .docs-heading-anchor:hover, h1 .docs-heading-anchor:visited, h2 .docs-heading-anchor, h2 .docs-heading-anchor:hover, h2 .docs-heading-anchor:visited, h3 .docs-heading-anchor, h3 .docs-heading-anchor:hover, h3 .docs-heading-anchor:visited, h4 .docs-heading-anchor, h4 .docs-heading-anchor:hover, h4 .docs-heading-anchor:visited, h5 .docs-heading-anchor, h5 .docs-heading-anchor:hover, h5 .docs-heading-anchor:visited, h6 .docs-heading-anchor, h6 .docs-heading-anchor:hover, h6 .docs-heading-anchor:visited {
+  color: #222222; }
+
+h1 .docs-heading-anchor-permalink, h2 .docs-heading-anchor-permalink, h3 .docs-heading-anchor-permalink, h4 .docs-heading-anchor-permalink, h5 .docs-heading-anchor-permalink, h6 .docs-heading-anchor-permalink {
+  visibility: hidden;
+  vertical-align: middle;
+  margin-left: 0.5em;
+  font-size: 0.7rem; }
+  h1 .docs-heading-anchor-permalink::before, h2 .docs-heading-anchor-permalink::before, h3 .docs-heading-anchor-permalink::before, h4 .docs-heading-anchor-permalink::before, h5 .docs-heading-anchor-permalink::before, h6 .docs-heading-anchor-permalink::before {
+    font-family: "Font Awesome 5 Free";
+    font-weight: 900;
+    content: "\f0c1"; }
+
+h1:hover .docs-heading-anchor-permalink, h2:hover .docs-heading-anchor-permalink, h3:hover .docs-heading-anchor-permalink, h4:hover .docs-heading-anchor-permalink, h5:hover .docs-heading-anchor-permalink, h6:hover .docs-heading-anchor-permalink {
+  visibility: visible; }
+
+.docs-dark-only {
+  display: none !important; }
+
+pre {
+  position: relative;
+  overflow: hidden; }
+  pre code, pre code.hljs {
+    padding: 0 0.75rem !important;
+    overflow: auto;
+    display: block; }
+  pre code:first-of-type, pre code.hljs:first-of-type {
+    padding-top: 0.5rem !important; }
+  pre code:last-of-type, pre code.hljs:last-of-type {
+    padding-bottom: 0.5rem !important; }
+  pre .copy-button {
+    opacity: 0.2;
+    transition: opacity 0.2s;
+    position: absolute;
+    right: 0em;
+    top: 0em;
+    padding: 0.5em;
+    width: 2.5em;
+    height: 2.5em;
+    background: transparent;
+    border: none;
+    font-family: "Font Awesome 5 Free";
+    color: #222222;
+    cursor: pointer;
+    text-align: center; }
+    pre .copy-button:focus, pre .copy-button:hover {
+      opacity: 1;
+      background: rgba(34, 34, 34, 0.1);
+      color: #2e63b8; }
+    pre .copy-button.success {
+      color: #259a12;
+      opacity: 1; }
+    pre .copy-button.error {
+      color: #cb3c33;
+      opacity: 1; }
+  pre:hover .copy-button {
+    opacity: 1; }
+
+.admonition {
+  background-color: #b5b5b5;
+  border-style: solid;
+  border-width: 1px;
+  border-color: #363636;
+  border-radius: 4px;
+  font-size: 1rem; }
+  .admonition strong {
+    color: currentColor; }
+  .admonition.is-small, #documenter .docs-sidebar form.docs-search > input.admonition {
+    font-size: 0.75rem; }
+  .admonition.is-medium {
+    font-size: 1.25rem; }
+  .admonition.is-large {
+    font-size: 1.5rem; }
+  .admonition.is-default {
+    background-color: #b5b5b5;
+    border-color: #363636; }
+    .admonition.is-default > .admonition-header {
+      background-color: #363636;
+      color: #fff; }
+    .admonition.is-default > .admonition-body {
+      color: #fff; }
+  .admonition.is-info {
+    background-color: #def0fc;
+    border-color: #209cee; }
+    .admonition.is-info > .admonition-header {
+      background-color: #209cee;
+      color: #fff; }
+    .admonition.is-info > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-success {
+    background-color: #bdf4d1;
+    border-color: #22c35b; }
+    .admonition.is-success > .admonition-header {
+      background-color: #22c35b;
+      color: #fff; }
+    .admonition.is-success > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-warning {
+    background-color: #fff3c5;
+    border-color: #ffdd57; }
+    .admonition.is-warning > .admonition-header {
+      background-color: #ffdd57;
+      color: rgba(0, 0, 0, 0.7); }
+    .admonition.is-warning > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-danger {
+    background-color: #ffaba7;
+    border-color: #da0b00; }
+    .admonition.is-danger > .admonition-header {
+      background-color: #da0b00;
+      color: #fff; }
+    .admonition.is-danger > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-compat {
+    background-color: #bdeff5;
+    border-color: #1db5c9; }
+    .admonition.is-compat > .admonition-header {
+      background-color: #1db5c9;
+      color: #fff; }
+    .admonition.is-compat > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+
+.admonition-header {
+  color: #fff;
+  background-color: #363636;
+  align-items: center;
+  font-weight: 700;
+  justify-content: space-between;
+  line-height: 1.25;
+  padding: 0.5rem 0.75rem;
+  position: relative; }
+  .admonition-header:before {
+    font-family: "Font Awesome 5 Free";
+    font-weight: 900;
+    margin-right: 0.75rem;
+    content: "\f06a"; }
+
+.admonition-body {
+  color: #222222;
+  padding: 0.5rem 0.75rem; }
+  .admonition-body pre {
+    background-color: whitesmoke; }
+  .admonition-body code {
+    background-color: rgba(0, 0, 0, 0.05); }
+
+.docstring {
+  margin-bottom: 1em;
+  background-color: transparent;
+  border: 1px solid #dbdbdb;
+  box-shadow: 2px 2px 3px rgba(10, 10, 10, 0.1);
+  max-width: 100%; }
+  .docstring > header {
+    display: flex;
+    flex-grow: 1;
+    align-items: stretch;
+    padding: 0.5rem 0.75rem;
+    background-color: whitesmoke;
+    box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+    box-shadow: none;
+    border-bottom: 1px solid #dbdbdb; }
+    .docstring > header code {
+      background-color: transparent; }
+    .docstring > header .docstring-binding {
+      margin-right: 0.3em; }
+    .docstring > header .docstring-category {
+      margin-left: 0.3em; }
+  .docstring > section {
+    position: relative;
+    padding: 0.75rem 0.75rem;
+    border-bottom: 1px solid #dbdbdb; }
+    .docstring > section:last-child {
+      border-bottom: none; }
+    .docstring > section > a.docs-sourcelink {
+      transition: opacity 0.3s;
+      opacity: 0;
+      position: absolute;
+      right: 0.375rem;
+      bottom: 0.375rem; }
+      .docstring > section > a.docs-sourcelink:focus {
+        opacity: 1 !important; }
+  .docstring:hover > section > a.docs-sourcelink {
+    opacity: 0.2; }
+  .docstring:focus-within > section > a.docs-sourcelink {
+    opacity: 0.2; }
+  .docstring > section:hover a.docs-sourcelink {
+    opacity: 1; }
+
+.documenter-example-output {
+  background-color: white; }
+
+.outdated-warning-overlay {
+  position: fixed;
+  top: 0;
+  left: 0;
+  right: 0;
+  box-shadow: 0 0 10px rgba(0, 0, 0, 0.3);
+  z-index: 999;
+  background-color: #ffaba7;
+  color: rgba(0, 0, 0, 0.7);
+  border-bottom: 3px solid #da0b00;
+  padding: 10px 35px;
+  text-align: center;
+  font-size: 15px; }
+  .outdated-warning-overlay .outdated-warning-closer {
+    position: absolute;
+    top: calc(50% - 10px);
+    right: 18px;
+    cursor: pointer;
+    width: 12px; }
+  .outdated-warning-overlay a {
+    color: #2e63b8; }
+    .outdated-warning-overlay a:hover {
+      color: #363636; }
+
+.content pre {
+  border: 1px solid #dbdbdb; }
+
+.content code {
+  font-weight: inherit; }
+
+.content a code {
+  color: #2e63b8; }
+
+.content h1 code, .content h2 code, .content h3 code, .content h4 code, .content h5 code, .content h6 code {
+  color: #222222; }
+
+.content table {
+  display: block;
+  width: initial;
+  max-width: 100%;
+  overflow-x: auto; }
+
+.content blockquote > ul:first-child, .content blockquote > ol:first-child, .content .admonition-body > ul:first-child, .content .admonition-body > ol:first-child {
+  margin-top: 0; }
+
+pre, code {
+  font-variant-ligatures: no-contextual; }
+
+.breadcrumb a.is-disabled {
+  cursor: default;
+  pointer-events: none; }
+  .breadcrumb a.is-disabled, .breadcrumb a.is-disabled:hover {
+    color: #222222; }
+
+.hljs {
+  background: initial !important; }
+
+.katex .katex-mathml {
+  top: 0;
+  right: 0; }
+
+.katex-display, mjx-container, .MathJax_Display {
+  margin: 0.5em 0 !important; }
+
+html {
+  -moz-osx-font-smoothing: auto;
+  -webkit-font-smoothing: auto; }
+
+li.no-marker {
+  list-style: none; }
+
+/* This file contain the overall layout.
+ *
+ * The main container is <div> that is identified by id #documenter.
+ */
+#documenter .docs-main > article {
+  overflow-wrap: break-word; }
+  #documenter .docs-main > article .math-container {
+    overflow-x: auto;
+    overflow-y: hidden; }
+
+@media screen and (min-width: 1056px) {
+  #documenter .docs-main {
+    max-width: 52rem;
+    margin-left: 20rem;
+    padding-right: 1rem; } }
+
+@media screen and (max-width: 1055px) {
+  #documenter .docs-main {
+    width: 100%; }
+    #documenter .docs-main > article {
+      max-width: 52rem;
+      margin-left: auto;
+      margin-right: auto;
+      margin-bottom: 1rem;
+      padding: 0 1rem; }
+    #documenter .docs-main > header, #documenter .docs-main > nav {
+      max-width: 100%;
+      width: 100%;
+      margin: 0; } }
+
+#documenter .docs-main header.docs-navbar {
+  background-color: white;
+  border-bottom: 1px solid #dbdbdb;
+  z-index: 2;
+  min-height: 4rem;
+  margin-bottom: 1rem;
+  display: flex; }
+  #documenter .docs-main header.docs-navbar .breadcrumb {
+    flex-grow: 1; }
+  #documenter .docs-main header.docs-navbar .docs-right {
+    display: flex;
+    white-space: nowrap; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-icon, #documenter .docs-main header.docs-navbar .docs-right .docs-label, #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+      display: inline-block; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-label {
+      padding: 0;
+      margin-left: 0.3em; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-settings-button {
+      margin: auto 0 auto 1rem; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+      font-size: 1.5rem;
+      margin: auto 0 auto 1rem; }
+  #documenter .docs-main header.docs-navbar > * {
+    margin: auto 0; }
+  @media screen and (max-width: 1055px) {
+    #documenter .docs-main header.docs-navbar {
+      position: sticky;
+      top: 0;
+      padding: 0 1rem;
+      /* For Headroom.js */
+      transition-property: top, box-shadow;
+      -webkit-transition-property: top, box-shadow;
+      /* Safari */
+      transition-duration: 0.3s;
+      -webkit-transition-duration: 0.3s;
+      /* Safari */ }
+      #documenter .docs-main header.docs-navbar.headroom--not-top {
+        box-shadow: 0.2rem 0rem 0.4rem #bbb;
+        transition-duration: 0.7s;
+        -webkit-transition-duration: 0.7s;
+        /* Safari */ }
+      #documenter .docs-main header.docs-navbar.headroom--unpinned.headroom--not-top.headroom--not-bottom {
+        top: -4.5rem;
+        transition-duration: 0.7s;
+        -webkit-transition-duration: 0.7s;
+        /* Safari */ } }
+#documenter .docs-main section.footnotes {
+  border-top: 1px solid #dbdbdb; }
+  #documenter .docs-main section.footnotes li .tag:first-child, #documenter .docs-main section.footnotes li .docstring > section > a.docs-sourcelink:first-child, #documenter .docs-main section.footnotes li .content kbd:first-child, .content #documenter .docs-main section.footnotes li kbd:first-child {
+    margin-right: 1em;
+    margin-bottom: 0.4em; }
+
+#documenter .docs-main .docs-footer {
+  display: flex;
+  flex-wrap: wrap;
+  margin-left: 0;
+  margin-right: 0;
+  border-top: 1px solid #dbdbdb;
+  padding-top: 1rem;
+  padding-bottom: 1rem; }
+  @media screen and (max-width: 1055px) {
+    #documenter .docs-main .docs-footer {
+      padding-left: 1rem;
+      padding-right: 1rem; } }
+  #documenter .docs-main .docs-footer .docs-footer-nextpage, #documenter .docs-main .docs-footer .docs-footer-prevpage {
+    flex-grow: 1; }
+  #documenter .docs-main .docs-footer .docs-footer-nextpage {
+    text-align: right; }
+  #documenter .docs-main .docs-footer .flexbox-break {
+    flex-basis: 100%;
+    height: 0; }
+  #documenter .docs-main .docs-footer .footer-message {
+    font-size: 0.8em;
+    margin: 0.5em auto 0 auto;
+    text-align: center; }
+
+#documenter .docs-sidebar {
+  display: flex;
+  flex-direction: column;
+  color: #0a0a0a;
+  background-color: whitesmoke;
+  border-right: 1px solid #dbdbdb;
+  padding: 0;
+  flex: 0 0 18rem;
+  z-index: 5;
+  font-size: 1rem;
+  position: fixed;
+  left: -18rem;
+  width: 18rem;
+  height: 100%;
+  transition: left 0.3s;
+  /* Setting up a nicer theme style for the scrollbar */ }
+  #documenter .docs-sidebar.visible {
+    left: 0;
+    box-shadow: 0.4rem 0rem 0.8rem #bbb; }
+    @media screen and (min-width: 1056px) {
+      #documenter .docs-sidebar.visible {
+        box-shadow: none; } }
+  @media screen and (min-width: 1056px) {
+    #documenter .docs-sidebar {
+      left: 0;
+      top: 0; } }
+  #documenter .docs-sidebar .docs-logo {
+    margin-top: 1rem;
+    padding: 0 1rem; }
+    #documenter .docs-sidebar .docs-logo > img {
+      max-height: 6rem;
+      margin: auto; }
+  #documenter .docs-sidebar .docs-package-name {
+    flex-shrink: 0;
+    font-size: 1.5rem;
+    font-weight: 700;
+    text-align: center;
+    white-space: nowrap;
+    overflow: hidden;
+    padding: 0.5rem 0; }
+    #documenter .docs-sidebar .docs-package-name .docs-autofit {
+      max-width: 16.2rem; }
+    #documenter .docs-sidebar .docs-package-name a, #documenter .docs-sidebar .docs-package-name a:hover {
+      color: #0a0a0a; }
+  #documenter .docs-sidebar .docs-version-selector {
+    border-top: 1px solid #dbdbdb;
+    display: none;
+    padding: 0.5rem; }
+    #documenter .docs-sidebar .docs-version-selector.visible {
+      display: flex; }
+  #documenter .docs-sidebar ul.docs-menu {
+    flex-grow: 1;
+    user-select: none;
+    border-top: 1px solid #dbdbdb;
+    padding-bottom: 1.5rem;
+    /* Managing collapsible submenus */ }
+    #documenter .docs-sidebar ul.docs-menu > li > .tocitem {
+      font-weight: bold; }
+    #documenter .docs-sidebar ul.docs-menu > li li {
+      font-size: 0.95rem;
+      margin-left: 1em;
+      border-left: 1px solid #dbdbdb; }
+    #documenter .docs-sidebar ul.docs-menu input.collapse-toggle {
+      display: none; }
+    #documenter .docs-sidebar ul.docs-menu ul.collapsed {
+      display: none; }
+    #documenter .docs-sidebar ul.docs-menu input:checked ~ ul.collapsed {
+      display: block; }
+    #documenter .docs-sidebar ul.docs-menu label.tocitem {
+      display: flex; }
+      #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-label {
+        flex-grow: 2; }
+      #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron {
+        display: inline-block;
+        font-style: normal;
+        font-variant: normal;
+        text-rendering: auto;
+        line-height: 1;
+        font-size: 0.75rem;
+        margin-left: 1rem;
+        margin-top: auto;
+        margin-bottom: auto; }
+        #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron::before {
+          font-family: "Font Awesome 5 Free";
+          font-weight: 900;
+          content: "\f054"; }
+    #documenter .docs-sidebar ul.docs-menu input:checked ~ label.tocitem .docs-chevron::before {
+      content: "\f078"; }
+    #documenter .docs-sidebar ul.docs-menu .tocitem {
+      display: block;
+      padding: 0.5rem 0.5rem; }
+      #documenter .docs-sidebar ul.docs-menu .tocitem, #documenter .docs-sidebar ul.docs-menu .tocitem:hover {
+        color: #0a0a0a;
+        background: whitesmoke; }
+    #documenter .docs-sidebar ul.docs-menu a.tocitem:hover, #documenter .docs-sidebar ul.docs-menu label.tocitem:hover {
+      color: #0a0a0a;
+      background-color: #ebebeb; }
+    #documenter .docs-sidebar ul.docs-menu li.is-active {
+      border-top: 1px solid #dbdbdb;
+      border-bottom: 1px solid #dbdbdb;
+      background-color: white; }
+      #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem, #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem:hover {
+        background-color: white;
+        color: #0a0a0a; }
+      #documenter .docs-sidebar ul.docs-menu li.is-active ul.internal .tocitem:hover {
+        background-color: #ebebeb;
+        color: #0a0a0a; }
+    #documenter .docs-sidebar ul.docs-menu > li.is-active:first-child {
+      border-top: none; }
+    #documenter .docs-sidebar ul.docs-menu ul.internal {
+      margin: 0 0.5rem 0.5rem;
+      border-top: 1px solid #dbdbdb; }
+      #documenter .docs-sidebar ul.docs-menu ul.internal li {
+        font-size: 0.85rem;
+        border-left: none;
+        margin-left: 0;
+        margin-top: 0.5rem; }
+      #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem {
+        width: 100%;
+        padding: 0; }
+        #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem::before {
+          content: "⚬";
+          margin-right: 0.4em; }
+  #documenter .docs-sidebar form.docs-search {
+    margin: auto;
+    margin-top: 0.5rem;
+    margin-bottom: 0.5rem; }
+    #documenter .docs-sidebar form.docs-search > input {
+      width: 14.4rem; }
+  @media screen and (min-width: 1056px) {
+    #documenter .docs-sidebar ul.docs-menu {
+      overflow-y: auto;
+      -webkit-overflow-scroll: touch; }
+      #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar {
+        width: .3rem;
+        background: none; }
+      #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb {
+        border-radius: 5px 0px 0px 5px;
+        background: #e0e0e0; }
+      #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb:hover {
+        background: #cccccc; } }
+  @media screen and (max-width: 1055px) {
+    #documenter .docs-sidebar {
+      overflow-y: auto;
+      -webkit-overflow-scroll: touch; }
+      #documenter .docs-sidebar::-webkit-scrollbar {
+        width: .3rem;
+        background: none; }
+      #documenter .docs-sidebar::-webkit-scrollbar-thumb {
+        border-radius: 5px 0px 0px 5px;
+        background: #e0e0e0; }
+      #documenter .docs-sidebar::-webkit-scrollbar-thumb:hover {
+        background: #cccccc; } }
+#documenter .docs-main #documenter-search-info {
+  margin-bottom: 1rem; }
+
+#documenter .docs-main #documenter-search-results {
+  list-style-type: circle;
+  list-style-position: outside; }
+  #documenter .docs-main #documenter-search-results li {
+    margin-left: 2rem; }
+  #documenter .docs-main #documenter-search-results .docs-highlight {
+    background-color: yellow; }
+
+.ansi span.sgr1 {
+  font-weight: bolder; }
+
+.ansi span.sgr2 {
+  font-weight: lighter; }
+
+.ansi span.sgr3 {
+  font-style: italic; }
+
+.ansi span.sgr4 {
+  text-decoration: underline; }
+
+.ansi span.sgr7 {
+  color: white;
+  background-color: #222222; }
+
+.ansi span.sgr8 {
+  color: transparent; }
+  .ansi span.sgr8 span {
+    color: transparent; }
+
+.ansi span.sgr9 {
+  text-decoration: line-through; }
+
+.ansi span.sgr30 {
+  color: #242424; }
+
+.ansi span.sgr31 {
+  color: #a7201f; }
+
+.ansi span.sgr32 {
+  color: #066f00; }
+
+.ansi span.sgr33 {
+  color: #856b00; }
+
+.ansi span.sgr34 {
+  color: #2149b0; }
+
+.ansi span.sgr35 {
+  color: #7d4498; }
+
+.ansi span.sgr36 {
+  color: #007989; }
+
+.ansi span.sgr37 {
+  color: gray; }
+
+.ansi span.sgr40 {
+  background-color: #242424; }
+
+.ansi span.sgr41 {
+  background-color: #a7201f; }
+
+.ansi span.sgr42 {
+  background-color: #066f00; }
+
+.ansi span.sgr43 {
+  background-color: #856b00; }
+
+.ansi span.sgr44 {
+  background-color: #2149b0; }
+
+.ansi span.sgr45 {
+  background-color: #7d4498; }
+
+.ansi span.sgr46 {
+  background-color: #007989; }
+
+.ansi span.sgr47 {
+  background-color: gray; }
+
+.ansi span.sgr90 {
+  color: #616161; }
+
+.ansi span.sgr91 {
+  color: #cb3c33; }
+
+.ansi span.sgr92 {
+  color: #0e8300; }
+
+.ansi span.sgr93 {
+  color: #a98800; }
+
+.ansi span.sgr94 {
+  color: #3c5dcd; }
+
+.ansi span.sgr95 {
+  color: #9256af; }
+
+.ansi span.sgr96 {
+  color: #008fa3; }
+
+.ansi span.sgr97 {
+  color: whitesmoke; }
+
+.ansi span.sgr100 {
+  background-color: #616161; }
+
+.ansi span.sgr101 {
+  background-color: #cb3c33; }
+
+.ansi span.sgr102 {
+  background-color: #0e8300; }
+
+.ansi span.sgr103 {
+  background-color: #a98800; }
+
+.ansi span.sgr104 {
+  background-color: #3c5dcd; }
+
+.ansi span.sgr105 {
+  background-color: #9256af; }
+
+.ansi span.sgr106 {
+  background-color: #008fa3; }
+
+.ansi span.sgr107 {
+  background-color: whitesmoke; }
+
+code.language-julia-repl > span.hljs-meta {
+  color: #066f00;
+  font-weight: bolder; }
+
+/*!
+  Theme: Default
+  Description: Original highlight.js style
+  Author: (c) Ivan Sagalaev <maniac@softwaremaniacs.org>
+  Maintainer: @highlightjs/core-team
+  Website: https://highlightjs.org/
+  License: see project LICENSE
+  Touched: 2021
+*/
+/*
+This is left on purpose making default.css the single file that can be lifted
+as-is from the repository directly without the need for a build step
+
+Typically this "required" baseline CSS is added by `makestuff.js` during build.
+*/
+pre code.hljs {
+  display: block;
+  overflow-x: auto; }
+
+code.hljs {
+  padding: 3px 5px; }
+
+/* end baseline CSS */
+.hljs {
+  background: #F0F0F0;
+  color: #444; }
+
+/* Base color: saturation 0; */
+.hljs-subst {
+  /* default */ }
+
+/* purposely ignored */
+.hljs-comment {
+  color: #888888; }
+
+.hljs-tag,
+.hljs-punctuation {
+  color: #444a; }
+
+.hljs-tag .hljs-name,
+.hljs-tag .hljs-attr {
+  color: #444; }
+
+.hljs-keyword,
+.hljs-attribute,
+.hljs-selector-tag,
+.hljs-meta .hljs-keyword,
+.hljs-doctag,
+.hljs-name {
+  font-weight: bold; }
+
+/* User color: hue: 0 */
+.hljs-type,
+.hljs-string,
+.hljs-number,
+.hljs-selector-id,
+.hljs-selector-class,
+.hljs-quote,
+.hljs-template-tag,
+.hljs-deletion {
+  color: #880000; }
+
+.hljs-title,
+.hljs-section {
+  color: #880000;
+  font-weight: bold; }
+
+.hljs-regexp,
+.hljs-symbol,
+.hljs-variable,
+.hljs-template-variable,
+.hljs-link,
+.hljs-selector-attr,
+.hljs-operator,
+.hljs-selector-pseudo {
+  color: #BC6060; }
+
+/* Language color: hue: 90; */
+.hljs-literal {
+  color: #78A960; }
+
+.hljs-built_in,
+.hljs-bullet,
+.hljs-code,
+.hljs-addition {
+  color: #397300; }
+
+/* Meta color: hue: 200 */
+.hljs-meta {
+  color: #1f7199; }
+
+.hljs-meta .hljs-string {
+  color: #4d99bf; }
+
+/* Misc effects */
+.hljs-emphasis {
+  font-style: italic; }
+
+.hljs-strong {
+  font-weight: bold; }
diff --git a/v0.3.8/assets/themeswap.js b/v0.3.8/assets/themeswap.js
new file mode 100644
index 000000000..c58e993e3
--- /dev/null
+++ b/v0.3.8/assets/themeswap.js
@@ -0,0 +1,66 @@
+// Small function to quickly swap out themes. Gets put into the <head> tag..
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diff --git a/v0.3.8/index.html b/v0.3.8/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Home · GeoParams.jl</title><script data-outdated-warner src="assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="assets/documenter.js"></script><script src="siteinfo.js"></script><script src="../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href>GeoParams.jl</a></span></div><form class="docs-search" action="search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li class="is-active"><a class="tocitem" href>Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="man/geounit/">GeoUnit</a></li><li><a class="tocitem" href="man/nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="man/materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="man/density/">Density</a></li><li><a class="tocitem" href="man/creeplaws/">Creep laws</a></li><li><a class="tocitem" href="man/elasticity/">Elasticity</a></li><li><a class="tocitem" href="man/plasticity/">Plasticity</a></li><li><a class="tocitem" href="man/heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="man/conductivity/">Conductivity</a></li><li><a class="tocitem" href="man/latentheat/">Latent heat</a></li><li><a class="tocitem" href="man/radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="man/shearheating/">Shear heating</a></li><li><a class="tocitem" href="man/gravity/">Gravity</a></li><li><a class="tocitem" href="man/melting/">Partial Melting</a></li><li><a class="tocitem" href="man/TASclassification/">TAS classification</a></li><li><a class="tocitem" href="man/zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="man/phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="man/seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="man/plotting/">Plotting</a></li><li><a class="tocitem" href="man/listfunctions/">List of functions</a></li><li><a class="tocitem" href="man/contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Home</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Home</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/index.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="GeoParams.jl"><a class="docs-heading-anchor" href="#GeoParams.jl">GeoParams.jl</a><a id="GeoParams.jl-1"></a><a class="docs-heading-anchor-permalink" href="#GeoParams.jl" title="Permalink"></a></h1><p>Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:</p><ul><li>Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).</li><li>Material parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. </li></ul><p>We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="man/geounit/">GeoUnit »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 6 June 2022 13:31">Monday 6 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.8/man/TASclassification/index.html b/v0.3.8/man/TASclassification/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>TAS classification · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li class="is-active"><a class="tocitem" href>TAS classification</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routine"><span>Computational routine</span></a></li></ul></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>TAS classification</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>TAS classification</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/TASclassification.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="TAS-rock-classification"><a class="docs-heading-anchor" href="#TAS-rock-classification">TAS rock classification</a><a id="TAS-rock-classification-1"></a><a class="docs-heading-anchor-permalink" href="#TAS-rock-classification" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>When doing coupled petrological-geodynamic modelling, the evolution of the composition of the magma is more easily understood when a rock type is given. This routine is an implementation of the TAS diagram (Total Alkali (TA) vs Silica (S)) from Le Maitre et al., 2002.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.TASclassificationData" href="#GeoParams.TASclassification.TASclassificationData"><code>GeoParams.TASclassification.TASclassificationData</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">TASclassificationData
+
+Struct that holds default parameters for the TAS diagram</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/RockClassification/TASclassification.jl#L50-L54">source</a></section></article><h1 id="Computational-routine"><a class="docs-heading-anchor" href="#Computational-routine">Computational routine</a><a id="Computational-routine-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routine" title="Permalink"></a></h1><p>There is one routine with which you can retrieve the index of the TAS rock-type. The routine receives as an input a compositional vector [SiO2,Na2O+K2O] in wt% and sends back an index [1-15].</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.computeTASclassification" href="#GeoParams.TASclassification.computeTASclassification"><code>GeoParams.TASclassification.computeTASclassification</code></a> — <span class="docstring-category">Function</span></header><section><div><p>classIndex computeTASclassification(chemComp::AbstractArray{_T,N}, ClassTASdata::TASclassificationData)</p><p>This compute the classification of the igneous rock using TAS diagram (Total Alkali (TA) vs Silica (S)).</p><p><strong>Input:</strong></p><ul><li><code>chemComp</code> : vector rock composition in oxide wt%</li></ul><p>Output:</p><ul><li><code>classIndex</code> : an integer [0-14] corresponding to a TAS field (TASclassificationData.litho[classIndex])</li></ul><p>This routine was developed based the TAS classification of Le Maitre et al., 2002</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/RockClassification/TASclassification.jl#L104-L118">source</a></section></article><p>Using the index of the rock-type you can get the name of the corresponding volcanic rock using the following routine.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.retrieveTASrockType" href="#GeoParams.TASclassification.retrieveTASrockType"><code>GeoParams.TASclassification.retrieveTASrockType</code></a> — <span class="docstring-category">Function</span></header><section><div><p>retrieveTASrockType(index::Int64; ClassTASdata::TASclassificationData = TASclassificationData())</p><p>This retrieves the name of the volcanic rock-type using the computed index</p><p><strong>Input:</strong></p><ul><li><code>index</code> : integer [1-15]</li></ul><p>Output:</p><ul><li><code>litho</code> : a string of the name of corresponding volcanic rock</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/RockClassification/TASclassification.jl#L85-L97">source</a></section></article><p>We also provide a plotting routine, provided the <code>Plots</code> package is loaded, which produces figures such as: <img src="../assets/img/TAS_diagram.png" alt="subet3"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../melting/">« Partial Melting</a><a class="docs-footer-nextpage" href="../zirconages/">Zircon Ages »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 6 June 2022 13:31">Monday 6 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Conductivity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" 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heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Conductivity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Conductivity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/conductivity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Conductivity"><a class="docs-heading-anchor" href="#Conductivity">Conductivity</a><a id="Conductivity-1"></a><a class="docs-heading-anchor-permalink" href="#Conductivity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Thermal conductivity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.ConstantConductivity" href="#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantConductivity(k=3.0W/m/K)</code></pre><p>Set a constant conductivity</p><p class="math-container">\[    k  = cst\]</p><p>where <span>$k$</span> is the thermal conductivity [<span>$W/m/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Energy/Conductivity.jl#L29-L37">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington" href="#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Conductivity_Whittington()</code></pre><p>Sets a temperature-dependent conductivity following the parameterization of <em>Whittington, A.G., Hofmeister, A.M., Nabelek, P.I., 2009. Temperature-dependent thermal diffusivity of the Earth’s crust and implications for magmatism. Nature 458, 319–321. https://doi.org/10.1038/nature07818.</em>  Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us to compute </p><p class="math-container">\[    Cp = a + b T - c/T^2 \]</p><p class="math-container">\[    \kappa = d/T - e \textrm{ if } T&lt;=846K\]</p><p class="math-container">\[    \kappa = f - g*T \textrm{ if } T&gt;846K\]</p><p class="math-container">\[    \rho = 2700 kg/m^3\]</p><p class="math-container">\[    k = \kappa \rho Cp\]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/mol/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <code>T</code>:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>d = 576.3m^2/s*K      </li><li>e = 0.062m^2/s        </li><li>f = 0.732m^2/s        </li><li>g = 0.000135m^2/s/K </li></ul><p>This looks like:</p><p><img src="../assets/img/Conductivity_Whittington.png" alt="subet1"/></p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; using GeoParams, Plots
+julia&gt; p=T_Conductivity_Whittington();
+julia&gt; T,k,plt = PlotConductivity(p)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Energy/Conductivity.jl#L89-L135">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised" href="#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Conductivity_Whittington_parameterised()</code></pre><p>Sets a temperature-dependent conductivity that is  parameterization after <em>Whittington, et al.  2009</em> </p><p>The original parameterization involves quite a few parameters; this is a polynomial fit that is roughly valid from 0-1000Celcius</p><p class="math-container">\[    k [W/m/K] = -2 10^{-9} (T-Ts)^3 + 6 10^{-6} (T-Ts)^2 - 0.0062 (T-Ts) + 4\]</p><p class="math-container">\[    Ts = 273.15 K\]</p><p>where <code>T[K]</code> is the temperature in Kelvin (or the nondimensional equivalent of it).</p><p>The comparison of this parameterisation vs. the original one is: <img src="../assets/img/Conductivity_Whittington_smooth.png" alt="subet1"/></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Energy/Conductivity.jl#L235-L253">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">TP_Conductivity()</code></pre><p>Sets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for  </p><p class="math-container">\[    k = \left( a_k +  {b_k \over {T + c_k}} \right) (1 + d_k P) \]</p><p>where <span>$k$</span> is the conductivity [<span>$W/K/m$</span>], and <span>$a_k,b_k,c_k,d_k$</span> are parameters that dependent on the temperature <code>T</code> and pressure <code>P</code>:</p><ul><li><span>$a_k$</span> = 1.18Watt/K/m    </li><li><span>$b_k$</span> = 474Watt/m </li><li><span>$c_k$</span> = 77K       </li><li><span>$d_k$</span> = 0/MPa       </li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Energy/Conductivity.jl#L329-L344">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">Set_TP_Conductivity[&quot;Name of temperature(-pressure) dependent conductivity&quot;]</code></pre><p>This is a dictionary with pre-defined laws:</p><ul><li>&quot;UpperCrust&quot;    </li><li>&quot;LowerCrust&quot;</li><li>&quot;OceanicCrust&quot;</li><li>&quot;Mantle&quot;</li></ul><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; k=Set_TP_Conductivity[&quot;Mantle&quot;]
+T/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)  </code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Energy/Conductivity.jl#L363-L378">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">k = compute_conductivity(P, T, s:&lt;AbstractConductivity)</code></pre><p>Returns the thermal conductivity <code>k</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the parameterizations implemented.</p><p>Currently available:</p><ul><li>ConstantConductivity</li><li>T_Conductivity_Whittington</li><li>TP_Conductivity</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia hljs">julia&gt; T  = (250:100:1250)*K;
+julia&gt; cp = T_HeatCapacity_Whittington()
+julia&gt; Cp = ComputeHeatCapacity(0,T,cp)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Energy/Conductivity.jl#L488-L507">source</a></section><section><div><pre><code class="nohighlight hljs">compute_conductivity!(K::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},Temp::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of conductivity <code>K</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>Temp</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p>_________________________________________________________________________________________________________</p><p>compute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</p><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Energy/Conductivity.jl#L530-L542">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity!" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_conductivity!(k_array::AbstractArray{&lt;:AbstractFloat,N},P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, s::T_Conductivity_Whittington) where N</code></pre><p>In-place routine to compute temperature-dependent conductivity    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Energy/Conductivity.jl#L204-L208">source</a></section><section><div><pre><code class="nohighlight hljs">compute_conductivity!(k::AbstractArray{_T,N}, s::T_Conductivity_Whittington_parameterised{_T}, P::AbstractArray{_T,N}, T::AbstractArray{_T,N})</code></pre><p>In-place routine to compute temperature-dependent conductivity    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Energy/Conductivity.jl#L302-L306">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../heatcapacity/">« Heat Capacity</a><a class="docs-footer-nextpage" href="../latentheat/">Latent heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 6 June 2022 13:31">Monday 6 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Contributing</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Contributing</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/contributing.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Contributing"><a class="docs-heading-anchor" href="#Contributing">Contributing</a><a id="Contributing-1"></a><a class="docs-heading-anchor-permalink" href="#Contributing" title="Permalink"></a></h1><p>This page details the some of the guidelines that should be followed when contributing to this package.</p><p>You can contribute for example by adding new creep laws or by adding new constitutive relationships. If you invest a bit of time now, it will save others in the community a lot of time! The simplest way to do this is by cloning the repository, and creating a new branch for your feature. Once you are happy with what you added (and after you added a test to ensure that it will keep working with future changes), create a pull request and we will evaluate &amp; merge it.</p><h2 id="Style-Guide"><a class="docs-heading-anchor" href="#Style-Guide">Style Guide</a><a id="Style-Guide-1"></a><a class="docs-heading-anchor-permalink" href="#Style-Guide" title="Permalink"></a></h2><p>Follow the style of the surrounding text when making changes. When adding new features please try to stick to the following points whenever applicable.</p><h3 id="Julia"><a class="docs-heading-anchor" href="#Julia">Julia</a><a id="Julia-1"></a><a class="docs-heading-anchor-permalink" href="#Julia" title="Permalink"></a></h3><ul><li>4-space indentation;</li><li>modules spanning entire files should not be indented, but modules that have surrounding code should;</li><li>no blank lines at the start or end of files;</li><li>do not manually align syntax such as <code>=</code> or <code>::</code> over adjacent lines;</li><li>use <code>function ... end</code> when a method definition contains more than one toplevel expression;</li><li>related short-form method definitions don&#39;t need a new line between them;</li><li>unrelated or long-form method definitions must have a blank line separating each one;</li><li>surround all binary operators with whitespace except for <code>::</code>, <code>^</code>, and <code>:</code>;</li><li>files containing a single <code>module ... end</code> must be named after the module;</li><li>method arguments should be ordered based on the amount of usage within the method body;</li><li>methods extended from other modules must follow their inherited argument order, not the above rule;</li><li>explicit <code>return</code> should be preferred except in short-form method definitions;</li><li>avoid dense expressions where possible e.g. prefer nested <code>if</code>s over complex nested <code>?</code>s;</li><li>include a trailing <code>,</code> in vectors, tuples, or method calls that span several lines;</li><li>do not use multiline comments (<code>#=</code> and <code>=#</code>);</li><li>wrap long lines as near to 92 characters as possible, this includes docstrings;</li><li>follow the standard naming conventions used in <code>Base</code>.</li></ul><h3 id="Markdown"><a class="docs-heading-anchor" href="#Markdown">Markdown</a><a id="Markdown-1"></a><a class="docs-heading-anchor-permalink" href="#Markdown" title="Permalink"></a></h3><ul><li>Use unbalanced <code>#</code> headers, i.e. no <code>#</code> on the right hand side of the header text;</li><li>include a single blank line between toplevel blocks;</li><li>unordered lists must use <code>*</code> bullets with two preceding spaces;</li><li>do <em>not</em> hard wrap lines;</li><li>use emphasis (<code>*</code>) and bold (<code>**</code>) sparingly;</li><li>always use fenced code blocks instead of indented blocks;</li><li>follow the conventions outlined in the Julia documentation page on documentation.</li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../listfunctions/">« List of functions</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 6 June 2022 13:31">Monday 6 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.8/man/creeplaws/index.html b/v0.3.8/man/creeplaws/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Creep laws · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li class="is-active"><a class="tocitem" href>Creep laws</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Implemented-creep-laws"><span>Implemented creep laws</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-for-creep-laws"><span>Computational routines for creep laws</span></a></li></ul></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Creep laws</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Creep laws</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/creeplaws.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="CreepLaws"><a class="docs-heading-anchor" href="#CreepLaws">CreepLaws</a><a id="CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#CreepLaws" title="Permalink"></a></h1><h1 id="Implemented-creep-laws"><a class="docs-heading-anchor" href="#Implemented-creep-laws">Implemented creep laws</a><a id="Implemented-creep-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-creep-laws" title="Permalink"></a></h1><p>The following viscous creep laws are implemented:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.CreepLaw.LinearViscous" href="#GeoParams.MaterialParameters.CreepLaw.LinearViscous"><code>GeoParams.MaterialParameters.CreepLaw.LinearViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">LinearViscous(η=1e20Pa*s)</code></pre><p>Defines a linear viscous creeplaw </p><p>The (isotopic) linear viscous rheology is given by  </p><p class="math-container">\[    \tau_{ij} = 2 \eta \dot{\varepsilon}_{ij} \]</p><p>or</p><p class="math-container">\[    \dot{\varepsilon}_{ij}  = {\tau_{ij}  \over 2 \eta }\]</p><p>where <span>$\eta_0$</span> is the reference viscosity [Pa*s] at reference strain rate <span>$\dot{\varepsilon}_0$</span>[1/s], and <span>$n$</span> the power law exponent []. </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/CreepLaw/CreepLaw.jl#L54-L69">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.CreepLaw.PowerlawViscous" href="#GeoParams.MaterialParameters.CreepLaw.PowerlawViscous"><code>GeoParams.MaterialParameters.CreepLaw.PowerlawViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)</code></pre><p>Defines a power law viscous creeplaw as: </p><p class="math-container">\[    \tau_{ij}^n  = 2 \eta_0 \left( \dot{\varepsilon}_{ij} \over \dot{\varepsilon}_0 \right)\]</p><p>where <span>$\eta$</span> is the effective viscosity [Pa*s].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/CreepLaw/CreepLaw.jl#L111-L120">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.CreepLaw.DislocationCreep" href="#GeoParams.MaterialParameters.CreepLaw.DislocationCreep"><code>GeoParams.MaterialParameters.CreepLaw.DislocationCreep</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DislocationCreep(n = 1.0NoUnits, r = 0.00.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )</code></pre><p>Defines the flow law parameter of a dislocation creep law  The (isotropic) dislocation creep law, as used by experimtalists, is given by  </p><p class="math-container">\[     \dot{\gamma} = A \sigma_\mathrm{d}^n f_\mathrm{H2O}^r \exp(-\frac{E+PV}{RT})\]</p><p>where <span>$n$</span> is the power law exponent,   <span>$r$</span> is the exponent of fugacity dependence,  <span>$A$</span> is a pre-exponential factor <a href="man/if manually defined, n and r must be either pre-defined or substituted">MPa^(n+r)</a>,   <span>$E$</span> is the activation energy [kJ/mol], <span>$V$</span> is the activation volume [m^3/mol]. <span>$\dot{\gamma}$</span> is the ordinary strain rate [1/s],  and <span>$\sigma_\mathrm{d}$</span> is the differential stress which are converted into second invariants using the apparatus type that can be either AxialCompression, SimpleShear or Invariant. If the flow law paramters are already given as a function of second invariants, choose apparatus = &quot;Invariant&quot;</p><pre><code class="language-julia-repl hljs">julia&gt; x2      =   DislocationCreep(n=3)
+DislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/CreepLaw/DislocationCreep.jl#L22-L41">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.CreepLaw.SetDislocationCreep" href="#GeoParams.MaterialParameters.CreepLaw.SetDislocationCreep"><code>GeoParams.MaterialParameters.CreepLaw.SetDislocationCreep</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetDislocationCreep[&quot;Name of Dislocation Creep&quot;]</code></pre><p>This is a dictionary with pre-defined creep laws    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/CreepLaw/DislocationCreep.jl#L119-L122">source</a></section></article><h1 id="Computational-routines-for-creep-laws"><a class="docs-heading-anchor" href="#Computational-routines-for-creep-laws">Computational routines for creep laws</a><a id="Computational-routines-for-creep-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines-for-creep-laws" title="Permalink"></a></h1><p>Once a creep rheology is defined, we can use the following routines to perform computations within the solvers</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>CreepLawVariables</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII" href="#GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII"><code>GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">computeCreepLaw_EpsII(TauII, s:&lt;AbstractCreepLaw, p::CreepLawVariables)</code></pre><p>Returns the strainrate invariant <span>$\dot{\varepsilon}_{II}$</span> for a given deviatoric stress  invariant <span>$\tau_{II}$</span> for any of the viscous creep laws implemented. <span>$p$</span> is a struct that can hold various parameters (such as <span>$P$</span>, <span>$T$</span>) that the creep law may need for the calculations </p><p class="math-container">\[    \dot{\varepsilon}_{II}   = f( \tau_{II} ) \]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/CreepLaw/CreepLaw.jl#L148-L160">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII" href="#GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII"><code>GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">computeCreepLaw_TauII(EpsII, s:&lt;AbstractCreepLaw, p::CreepLawVariables)</code></pre><p>Returns the deviatoric stress invariant <span>$\tau_{II}$</span> for a given strain rate   invariant <span>$\dot{\varepsilon}_{II}$</span> for any of the viscous creep laws implemented. <span>$p$</span> is a struct that can hold various parameters (such as <span>$P$</span>, <span>$T$</span>) that the creep law may need for the calculations </p><p class="math-container">\[    \tau_{II}  = f( \dot{\varepsilon}_{II} ) \]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/CreepLaw/CreepLaw.jl#L163-L175">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../density/">« Density</a><a class="docs-footer-nextpage" href="../elasticity/">Elasticity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 6 June 2022 13:31">Monday 6 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Density · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" 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class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li class="is-active"><a class="tocitem" href>Density</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Density</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Density</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/density.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Density"><a class="docs-heading-anchor" href="#Density">Density</a><a id="Density-1"></a><a class="docs-heading-anchor-permalink" href="#Density" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>The density equation of state can be specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.ConstantDensity" href="#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantDensity(ρ=2900kg/m^3)</code></pre><p>Set a constant density:</p><p class="math-container">\[    \rho  = cst\]</p><p>where <span>$\rho$</span> is the density [<span>$kg/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Density/Density.jl#L33-L41">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.PT_Density" href="#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)</code></pre><p>Set a pressure and temperature-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 (1.0 - \alpha (T-T_0) + \beta  (P-P_0) )  \]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference temperature <span>$T_0$</span> and pressure <span>$P_0$</span>, <span>$\alpha$</span> is the temperature dependence of density and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Density/Density.jl#L74-L83">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.Compressible_Density" href="#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)</code></pre><p>Set a pressure-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 \exp(β*(P - P\_0))  \]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference pressure <span>$P_0$</span> and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Density/Density.jl#L137-L145">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To evaluate density within a user routine, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density" href="#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_density(P,T, s::PhaseDiagram_LookupTable)</code></pre><p>Interpolates density as a function of <code>T,P</code> from a lookup table  </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Density/Density.jl#L210-L213">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density!" href="#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_density!(rho::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, s::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of density as a function of <code>T,P</code>, in case we are using a lookup table.    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Density/Density.jl#L220-L223">source</a></section><section><div><pre><code class="nohighlight hljs">compute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I&lt;:Integer}</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; MatParam = (SetMaterialParams(Name=&quot;Mantle&quot;, Phase=1,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                        Density   = PT_Density()
+                        ),
+                    SetMaterialParams(Name=&quot;Crust&quot;, Phase=2,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),
+                        Density   = ConstantDensity(ρ=2900kg/m^3))
+                  );
+julia&gt; Phases = ones(Int64,400,400);
+julia&gt; Phases[:,20:end] .= 2
+julia&gt; rho     = zeros(size(Phases))
+julia&gt; T       =  ones(size(Phases))
+julia&gt; P       =  ones(size(Phases))*10
+julia&gt; compute_density!(rho, MatParam, Phases, P, T)
+julia&gt; rho
+400×400 Matrix{Float64}:
+2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮                            
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0</code></pre><p>The routine is made to minimize allocations:</p><pre><code class="language-julia hljs">julia&gt; using BenchmarkTools
+julia&gt; @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)
+    203.468 μs (0 allocations: 0 bytes)</code></pre><p>_____________________________________________________________________________________________________________________________   </p><pre><code class="nohighlight hljs">compute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Density/Density.jl#L245-L309">source</a></section></article><p>Note that density values are usually not used in itself in the governing PDE&#39;s, but usually in combination with other parameters, such as <span>$\rho g$</span> or <span>$\rho c_p$</span>. the non-dimensional value of <span>$\rho$</span> may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../materialparameters/">« Material Parameters</a><a class="docs-footer-nextpage" href="../creeplaws/">Creep laws »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 6 June 2022 13:31">Monday 6 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Elasticity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" 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class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li class="is-active"><a class="tocitem" href>Elasticity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Implemented-laws"><span>Implemented laws</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Elasticity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Elasticity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/elasticity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Elasticity"><a class="docs-heading-anchor" href="#Elasticity">Elasticity</a><a id="Elasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Elasticity" title="Permalink"></a></h1><p>Elasticity is, in geodynamics, often used in combination with viscous and plastic rheology.</p><h1 id="Implemented-laws"><a class="docs-heading-anchor" href="#Implemented-laws">Implemented laws</a><a id="Implemented-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-laws" title="Permalink"></a></h1><p>We provide the following elastic constitutive relationships:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Elasticity.ConstantElasticity" href="#GeoParams.MaterialParameters.Elasticity.ConstantElasticity"><code>GeoParams.MaterialParameters.Elasticity.ConstantElasticity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantElasticity(G, ν, K, E)</code></pre><p>Structure that holds parameters for constant, isotropic, linear elasticity.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Elasticity/Elasticity.jl#L24-L28">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>We can compute the elastic strainrate with:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate" href="#GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate"><code>GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_elastic_shear_strainrate(s::ConstantElasticity{_T}; τII, τII_old, dt)</code></pre><p>Computes elastic strainrate given the deviatoric stress at the current (<code>τII</code>) and old timestep (<code>τII_old</code>), for a timestep <code>dt</code>:</p><p class="math-container">\[    \dot{\varepsilon}^{el} = {1 \over 2 G} {D \tau_{II} \over Dt } ≈ {1 \over 2 G} {\tau_{II}- \tilde{\tau}_{II}^{old} \over dt }\]</p><p>Note that we here solve the scalar equation, which is sufficient for isotropic cases. In tensor form, it would be</p><p class="math-container">\[    {\dot{\varepsilon}^{el}}_{ij} = {1 \over 2 G} { \tau_{ij} - \tilde{{\tau_{ij}}}^{old} \over dt }\]</p><p>here <span>$\tilde{{\tau_{ij}}}^{old}$</span> is the rotated old deviatoric stress tensor to ensure objectivity (this can be done with Jaumann derivative, or also by using the full rotational formula).</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Elasticity/Elasticity.jl#L51-L65">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate!" href="#GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate!"><code>GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_elastic_shear_strainrate!(ε_el::AbstractArray{_T,N}, s::ConstantElasticity{_T}; τII::AbstractArray{_T,N}, τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)</code></pre><p>In-place computation of the elastic shear strainrate for given deviatoric stress invariants at the previous (<code>τII_old</code>) and new (<code>τII</code>) timestep, as well as the timestep <code>dt</code>  </p><p class="math-container">\[    \dot{\varepsilon}^{el} = {1 \over 2 G} {D \tau_{II} \over Dt } ≈ {1 \over 2 G} {\tau_{II}- \tau_{II}^{old} \over dt }\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Elasticity/Elasticity.jl#L68-L77">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../creeplaws/">« Creep laws</a><a class="docs-footer-nextpage" href="../plasticity/">Plasticity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 6 June 2022 13:31">Monday 6 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.8/man/geounit/index.html b/v0.3.8/man/geounit/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>GeoUnit · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li class="is-active"><a class="tocitem" href>GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>GeoUnit</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>GeoUnit</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/geounit.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="GeoUnit"><a class="docs-heading-anchor" href="#GeoUnit"><code>GeoUnit</code></a><a id="GeoUnit-1"></a><a class="docs-heading-anchor-permalink" href="#GeoUnit" title="Permalink"></a></h1><p>Most parameters have physical units (100km, 9.81 ms⁻²). Yet, within numerical solvers it is usually not a good idea to compute with the actual SI units as they (at least in geosciences) tend to result in very large/small numbers, which can cause in roundoff errors.  Therefore, we usually convert the dimensional units into non-dimensional ones befeore starting computations. The results can than be converted back to more convenient units for us when we generate the output (plots, for example).</p><p>This requires a wauy to store the dimensions of a parameter, but also, once they are made nondimensional, the original units (otherwise we can&#39;t convert them back to dimensional values).</p><p>For that reason, we use the <code>GeoUnit</code> structure, defined as </p><pre><code class="language-julia hljs">struct GeoUnit{T,U}
+    val          :: T
+    unit         :: U
+    isdimensional:: Bool
+end</code></pre><p>You can define a GeoUnit as:</p><pre><code class="language-julia hljs">julia&gt; a = GeoUnit(100km)
+GeoUnit{dimensional, km}, 
+100.0
+julia&gt; b=GeoUnit(100s)
+GeoUnit{dimensional, s}, 
+100.0</code></pre><p>Dividing the two gives the expected result</p><pre><code class="language-julia hljs">julia&gt; c=a/b
+GeoUnit{dimensional, km s⁻¹·⁰}, 
+1.0</code></pre><p>Can also be a vector:</p><pre><code class="language-julia hljs">julia&gt; T = GeoUnit(100K:10.0K:1000K)
+GeoUnit{dimensional, K}, 
+100.0:10.0:1000.0</code></pre><p>The numerical value is obtained with:</p><pre><code class="language-julia hljs">julia&gt; NumValue(c)
+1.0</code></pre><p>It&#39;s unit with</p><pre><code class="language-julia hljs">julia&gt; Unit(c)
+km s⁻¹·⁰</code></pre><p>and the value with unit with</p><pre><code class="language-julia hljs">julia&gt; Value(c)
+1.0 km s⁻¹·⁰</code></pre><p>If you multiply or divide a <code>GeoUnit</code> with a normal number, we assume that you are no longer interested in the units and you&#39;ll get a Float64:</p><pre><code class="language-julia hljs">julia&gt; c*100
+100.0</code></pre><p>The value of the <code>GeoUnit</code> struct becomes clear once we non-dimensionalize it (as explained in more detail in a separate page). For that, first specify which characteristic values you want to use for non-dimensionalisation: </p><pre><code class="language-julia hljs">julia&gt; CharDim = GEO_units(length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas);</code></pre><p>Let&#39;s define a stress:</p><pre><code class="language-julia hljs">julia&gt; σ=GeoUnit(10MPa)
+GeoUnit{dimensional, MPa}, 
+10.0</code></pre><p>And transfer it to nondimensional units:</p><pre><code class="language-julia hljs">julia&gt; σ_nd = nondimensionalize(σ,CharDim)
+GeoUnit{nondimensional, MPa}, 
+0.9999999999999998</code></pre><p>Instead of 1e7 Pa, we now have 1.0; yet at the same time we know that the original unit of σ_nd was in MPa, which allows to transfer it back to dimensional units:</p><pre><code class="language-julia hljs">julia&gt; dimensionalize(σ_nd,CharDim)
+GeoUnit{dimensional, MPa}, 
+10.0</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../">« Home</a><a class="docs-footer-nextpage" href="../nondimensionalize/">Nondimensionalization »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 6 June 2022 13:31">Monday 6 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.8/man/gravity/index.html b/v0.3.8/man/gravity/index.html
new file mode 100644
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Gravity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li class="is-active"><a class="tocitem" href>Gravity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Gravity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Gravity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/gravity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Gravitational-acceleration"><a class="docs-heading-anchor" href="#Gravitational-acceleration">Gravitational acceleration</a><a id="Gravitational-acceleration-1"></a><a class="docs-heading-anchor-permalink" href="#Gravitational-acceleration" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Gravitational acceleration is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">GravityConstant(g=9.81m/s^2)</code></pre><p>Set a constant value for the gravitational acceleration:</p><p class="math-container">\[    g  = 9.81 m s^{-2}\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/GravitationalAcceleration/GravitationalAcceleration.jl#L18-L25">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a> — <span class="docstring-category">Function</span></header><section><div><p>compute_gravity(s:&lt;AbstractGravity)</p><p>Returns the gravitational acceleration </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/GravitationalAcceleration/GravitationalAcceleration.jl#L52-L57">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../shearheating/">« Shear heating</a><a class="docs-footer-nextpage" href="../melting/">Partial Melting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select 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Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.8/man/heatcapacity/index.html b/v0.3.8/man/heatcapacity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Heat Capacity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li class="is-active"><a class="tocitem" href>Heat Capacity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Heat Capacity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Heat Capacity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/heatcapacity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Heat-capacity"><a class="docs-heading-anchor" href="#Heat-capacity">Heat capacity</a><a id="Heat-capacity-1"></a><a class="docs-heading-anchor-permalink" href="#Heat-capacity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Heat capacity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity" href="#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantHeatCapacity(cp=1050J/mol/kg)</code></pre><p>Set a constant heat capacity:</p><p class="math-container">\[    cp  = cst\]</p><p>where <span>$cp$</span> is the thermal heat capacity [<span>$J/kg/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Energy/HeatCapacity.jl#L25-L33">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington" href="#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_HeatCapacity_Whittington()</code></pre><p>Sets a temperature-dependent heat capacity following the parameterization of Whittington et al. (2009), Nature:</p><p class="math-container">\[    Cp = (a + b T - c/T^2)/m \]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/kg/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <code>T</code>:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>molmass =   0.22178kg/mol </li></ul><p>Note that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than <span>$J/mol/K$</span> as in eq.3/4 of the paper)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Energy/HeatCapacity.jl#L69-L87">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">Cp = compute_heatcapacity(s:&lt;AbstractHeatCapacity, P, T)</code></pre><p>Returns the heat capacity <code>Cp</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the heat capacity laws implemented.</p><p>Currently available:</p><ul><li>ConstantHeatCapacity</li><li>T_HeatCapacity_Whittington</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia hljs">julia&gt; T  = (250:100:1250)*K;
+julia&gt; cp = T_HeatCapacity_Whittington()
+julia&gt; Cp = ComputeHeatCapacity(0,T,cp)
+11-element Vector{Unitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:
+  635.4269997294616 J kg⁻¹ K⁻¹
+  850.7470171764261 J kg⁻¹ K⁻¹
+  962.0959598489883 J kg⁻¹ K⁻¹
+ 1037.5420433770641 J kg⁻¹ K⁻¹
+ 1097.3517921966488 J kg⁻¹ K⁻¹
+ 1149.2745563671706 J kg⁻¹ K⁻¹
+ 1157.7915050948404 J kg⁻¹ K⁻¹
+ 1172.3554874197264 J kg⁻¹ K⁻¹
+ 1186.9194697445964 J kg⁻¹ K⁻¹
+  1201.483452069455 J kg⁻¹ K⁻¹
+ 1216.0474343943067 J kg⁻¹ K⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Energy/HeatCapacity.jl#L174-L204">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_heatcapacity!(cp_array::AbstractArray{_T, N},s::T_HeatCapacity_Whittington{_T}, T::_T=zero(_T), P::_T=zero(_T)) where {_T,N}</code></pre><p>Computes T-dependent heat capacity in-place    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Energy/HeatCapacity.jl#L122-L126">source</a></section><section><div><pre><code class="nohighlight hljs">compute_heatcapacity!(Cp::AbstractArray{_T, N}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct, 1}, PhaseRatios::AbstractArray{_T, M}, P::AbstractArray{_T, N},T::AbstractArray{_T, N})</code></pre><p>In-place computation of heat capacity <code>Cp</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Energy/HeatCapacity.jl#L236-L242">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plasticity/">« Plasticity</a><a class="docs-footer-nextpage" href="../conductivity/">Conductivity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 6 June 2022 13:31">Monday 6 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.8/man/latentheat/index.html b/v0.3.8/man/latentheat/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Latent heat · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li class="is-active"><a class="tocitem" href>Latent heat</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Latent heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Latent heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/latentheat.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Latent-heat"><a class="docs-heading-anchor" href="#Latent-heat">Latent heat</a><a id="Latent-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Latent-heat" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Latent heat (of crystallisation) is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat" href="#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantLatentHeat(Q_L=400kJ/kg)</code></pre><p>Set a constant latent heat:</p><p class="math-container">\[    Q_L  = cst\]</p><p>where <span>$Q_L$</span> is the latent heat [<span>$kJ/kg$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Energy/LatentHeat.jl#L23-L31">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.LatentHeat.compute_latent_heat</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../conductivity/">« Conductivity</a><a class="docs-footer-nextpage" href="../radioactiveheating/">Radioactive heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 6 June 2022 13:31">Monday 6 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.8/man/listfunctions/index.html b/v0.3.8/man/listfunctions/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>List of functions · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li class="is-active"><a class="tocitem" href>List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>List of functions</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>List of functions</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/listfunctions.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="List-of-all-functions"><a class="docs-heading-anchor" href="#List-of-all-functions">List of all functions</a><a id="List-of-all-functions-1"></a><a class="docs-heading-anchor-permalink" href="#List-of-all-functions" title="Permalink"></a></h1><p>This page details the some of the guidelines that should be followed when contributing to this package.</p><ul><li><a href="../nondimensionalize/#GeoParams.Units"><code>GeoParams.Units</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.CreepLaw.DislocationCreep"><code>GeoParams.MaterialParameters.CreepLaw.DislocationCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.CreepLaw.LinearViscous"><code>GeoParams.MaterialParameters.CreepLaw.LinearViscous</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.CreepLaw.PowerlawViscous"><code>GeoParams.MaterialParameters.CreepLaw.PowerlawViscous</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.Elasticity.ConstantElasticity"><code>GeoParams.MaterialParameters.Elasticity.ConstantElasticity</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington</code></a></li><li><a href="../latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a></li><li><a href="../phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a></li><li><a href="../plasticity/#GeoParams.MaterialParameters.Plasticity.DruckerPrager"><code>GeoParams.MaterialParameters.Plasticity.DruckerPrager</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_4thOrder"><code>GeoParams.MeltingParam.MeltingParam_4thOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_5thOrder"><code>GeoParams.MeltingParam.MeltingParam_5thOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Assimilation"><code>GeoParams.MeltingParam.MeltingParam_Assimilation</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Quadratic"><code>GeoParams.MeltingParam.MeltingParam_Quadratic</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.SmoothMelting"><code>GeoParams.MeltingParam.SmoothMelting</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.TASclassificationData"><code>GeoParams.TASclassification.TASclassificationData</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.ZirconAgeData"><code>GeoParams.ZirconAges.ZirconAgeData</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.CreepLaw.SetDislocationCreep"><code>GeoParams.MaterialParameters.CreepLaw.SetDislocationCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII"><code>GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII"><code>GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate"><code>GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate!"><code>GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate!</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a></li><li><a href="../plasticity/#GeoParams.MaterialParameters.Plasticity.compute_yieldfunction"><code>GeoParams.MaterialParameters.Plasticity.compute_yieldfunction</code></a></li><li><a href="../plasticity/#GeoParams.MaterialParameters.Plasticity.compute_yieldfunction!"><code>GeoParams.MaterialParameters.Plasticity.compute_yieldfunction!</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity!"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity!</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity!"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity!</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.melt_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.melt_correction</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_dϕdT"><code>GeoParams.MeltingParam.compute_dϕdT</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_dϕdT!"><code>GeoParams.MeltingParam.compute_dϕdT!</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a></li><li><a href="../phasediagrams/#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a></li><li><a href="../plotting/#GeoParams.PlotConductivity"><code>GeoParams.PlotConductivity</code></a></li><li><a href="../plotting/#GeoParams.PlotHeatCapacity"><code>GeoParams.PlotHeatCapacity</code></a></li><li><a href="../melting/#GeoParams.PlotMeltFraction"><code>GeoParams.PlotMeltFraction</code></a></li><li><a href="../plotting/#GeoParams.PlotPhaseDiagram"><code>GeoParams.PlotPhaseDiagram</code></a></li><li><a href="../plotting/#GeoParams.PlotStressStrainrate_CreepLaw"><code>GeoParams.PlotStressStrainrate_CreepLaw</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.computeTASclassification"><code>GeoParams.TASclassification.computeTASclassification</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.retrieveTASrockType"><code>GeoParams.TASclassification.retrieveTASrockType</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.compute_zircon_age_PDF"><code>GeoParams.ZirconAges.compute_zircon_age_PDF</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.compute_zircons_Ttpath"><code>GeoParams.ZirconAges.compute_zircons_Ttpath</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.zircon_age_PDF"><code>GeoParams.ZirconAges.zircon_age_PDF</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a></li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plotting/">« Plotting</a><a class="docs-footer-nextpage" href="../contributing/">Contributing »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 6 June 2022 13:31">Monday 6 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.8/man/materialparameters/index.html b/v0.3.8/man/materialparameters/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Material Parameters · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li class="is-active"><a class="tocitem" href>Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Material Parameters</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Material Parameters</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/materialparameters.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="MaterialParameters"><a class="docs-heading-anchor" href="#MaterialParameters">MaterialParameters</a><a id="MaterialParameters-1"></a><a class="docs-heading-anchor-permalink" href="#MaterialParameters" title="Permalink"></a></h1><p>Material properties for a given phase can be set with <code>SetMaterialParams</code>, whereas all properties are  stored in the <code>MaterialParams</code> structure. Information about the material parameter is found at <code>MaterialParamsInfo</code>. This can be employed </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParamsInfo" href="#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MaterialParamsInfo</code></pre><p>Structure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.</p><p>Usually used in combination with <code>param_info(the_parameter_of_interest)</code></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/MaterialParameters.jl#L22-L30">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SetMaterialParams" href="#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetMaterialParams(; Name::String=&quot;&quot;, Phase::Int64=1,
+                    Density             =   nothing, 
+                    Gravity             =   nothing,
+                    CreepLaws           =   nothing, 
+                    Elasticity          =   nothing, 
+                    Plasticity          =   nothing, 
+                    Conductivity        =   nothing, 
+                    HeatCapacity        =   nothing, 
+                    RadioactiveHeat     =   nothing,
+                    LatentHeat          =   nothing,
+                    ShearHeat           =   nothing,
+                    Melting             =   nothing,
+                    SeismicVelocity     =   nothing,
+                    CharDim::GeoUnits   =   nothing)</code></pre><p>Sets material parameters for a given phase. </p><p>If <code>CharDim</code> is specified the input parameters are non-dimensionalized.   Note that if <code>Density</code> is specified, we also set <code>Gravity</code> even if not explicitly listed</p><p><strong>Examples</strong></p><p>Define two viscous creep laws &amp; constant density:</p><pre><code class="language-julia-repl hljs">julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;,
+                       Density   = ConstantDensity(),
+                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))
+Phase 1 : Viscous Matrix
+        | [dimensional units]
+        | 
+        |-- Density           : Constant density: ρ=2900 kg m⁻³ 
+        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  
+        |                       Linear viscosity: η=1.0e21 Pa s</code></pre><p>Define two viscous creep laws &amp; P/T dependent density and nondimensionalize</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);
+julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;, Phase=33,
+                              Density   = PT_Density(),
+                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),
+                              CharDim   = CharUnits_GEO)
+Phase 33: Viscous Matrix
+        | [non-dimensional units]
+        | 
+        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0 
+        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18 
+        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001  
+        |                       Linear viscosity: η=10000.0 </code></pre><p>You can also create an array that holds several parameters:</p><pre><code class="language-julia-repl hljs">julia&gt; MatParam        =   Array{MaterialParams, 1}(undef, 2);
+julia&gt; Phase           =   1;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Upper Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                            Density  = ConstantDensity(ρ=2900kg/m^3));
+julia&gt; Phase           =   2;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Lower Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),
+                            Density  = PT_Density(ρ0=3000kg/m^3));
+julia&gt; MatParam
+2-element Vector{MaterialParams}:
+ Phase 1 : Upper Crust
+    | [dimensional units]
+    | 
+    |-- Density           : Constant density: ρ=2900 kg m⁻³ 
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  
+    |                       Linear viscosity: η=1.0e23 Pa s 
+                            
+ Phase 2 : Lower Crust
+    | [dimensional units]
+    | 
+    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa 
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹  
+    |                       Linear viscosity: η=1.0e21 Pa s </code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/MaterialParameters.jl#L89-L173">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParams" href="#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MaterialParams</code></pre><p>Structure that holds all material parameters for a given phase</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/MaterialParameters.jl#L53-L58">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../nondimensionalize/">« Nondimensionalization</a><a class="docs-footer-nextpage" href="../density/">Density »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 6 June 2022 13:31">Monday 6 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.8/man/melting/index.html b/v0.3.8/man/melting/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Partial Melting · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li class="is-active"><a class="tocitem" href>Partial Melting</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Plotting-routines"><span>Plotting routines</span></a></li></ul></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Partial Melting</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Partial Melting</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/melting.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Melting-Parameterizations"><a class="docs-heading-anchor" href="#Melting-Parameterizations">Melting Parameterizations</a><a id="Melting-Parameterizations-1"></a><a class="docs-heading-anchor-permalink" href="#Melting-Parameterizations" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>A number of melting parameterisations are implemented, which can be set with:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Caricchi" href="#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Caricchi()</code></pre><p>Implements the T-dependent melting parameterisation used by Caricchi, Simpson et al. (as for example described in Simpson) </p><p class="math-container">\[    \theta = {(a - (T + c)) \over b} \]</p><p class="math-container">\[    \phi_{melt} = {1.0 \over (1.0 + e^\theta)}\]</p><p>Note that T is in Kelvin. As default parameters we employ:</p><p class="math-container">\[b=23K,  a=800K , c=273.15K\]</p><p>Which gives a reasonable fit to experimental data of granodioritic composition (Piwinskii and Wyllie, 1968):</p><p><img src="../assets/img/MeltingParam_Caricchi.png" alt="MeltParam_Carrichi"/></p><p><strong>References</strong></p><ul><li>Simpson G. (2017) Practical finite element modelling in Earth Sciences Using MATLAB.</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/MeltFraction/MeltingParameterization.jl#L34-L56">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_5thOrder" href="#GeoParams.MeltingParam.MeltingParam_5thOrder"><code>GeoParams.MeltingParam.MeltingParam_5thOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_5thOrder(a,b,c,d,e,f,T_s,T_l)</code></pre><p>Uses a 5th order polynomial to describe the melt fraction <code>phi</code> between solidus temperature <code>T_s</code> and liquidus temperature <code>T_l</code></p><p class="math-container">\[    \phi = a T^5 + b T^4 + c T^3 + d T^2 + e T + f  \textrm{   for   } T_s ≤ T ≤ T_l\]</p><p class="math-container">\[    \phi = 1  \textrm{   if   } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0  \textrm{   if   } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_5thorder.png" alt="MeltingParam_5thOrder"/></p><p>The default values are for a composite liquid-line-of-descent:</p><ul><li>the upper part is for Andesite from: (Blatter, D. L. &amp; Carmichael, I. S. (2001) Hydrous phase equilibria of a Mexican highsilica andesite: a candidate for a mantle origin? Geochim. Cosmochim. Acta 65, 4043–4065</li><li>the lower part is extrapolated to the granitic minimum using the Marxer &amp; Ulmer LLD for Andesite (Marxer, F. &amp; Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. <em>Contributions Mineral. Petrol.</em> 174, 84)</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/MeltFraction/MeltingParameterization.jl#L116-L137">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_4thOrder" href="#GeoParams.MeltingParam.MeltingParam_4thOrder"><code>GeoParams.MeltingParam.MeltingParam_4thOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_4thOrder(b,c,d,e,f,T_s,T_l)</code></pre><p>Uses a 4th order polynomial to describe the melt fraction <code>phi</code> between solidus temperature <code>T_s</code> and liquidus temperature <code>T_l</code></p><p class="math-container">\[    \phi = b T^4 + c T^3 + d T^2 + e T + f  \textrm{   for   } T_s ≤ T ≤ T_l\]</p><p class="math-container">\[    \phi = 1 \textrm{   if   } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0  \textrm{   if   } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_4thorder.png" alt="MeltingParam_4thOrder"/></p><p>The default values are for Tonalite experiments from Marxer and Ulmer (2019):</p><ul><li>Marxer, F. &amp; Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. <em>Contributions Mineral. Petrol.</em> 174, 84</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/MeltFraction/MeltingParameterization.jl#L222-L242">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Quadratic" href="#GeoParams.MeltingParam.MeltingParam_Quadratic"><code>GeoParams.MeltingParam.MeltingParam_Quadratic</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Quadratic(T_s,T_l)</code></pre><p>Quadratic melt fraction parameterisation where melt fraction <span>$\phi$</span> depends only on solidus (<span>$T_s$</span>) and liquidus (<span>$T_l$</span>) temperature:</p><p class="math-container">\[    \phi = 1.0 - \left( {T_l - T} \over {T_l - T_s} \right)^2\]</p><p class="math-container">\[    \phi = 1.0 \textrm{ if } T&gt;T_l \]</p><p class="math-container">\[    \phi = 0.0 \textrm{ if } T&lt;T_s \]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_Quadratic.png" alt="MeltingParam_Quadratic"/></p><p>This was used, among others, in Tierney et al. (2016) Geology</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/MeltFraction/MeltingParameterization.jl#L324-L343">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Assimilation" href="#GeoParams.MeltingParam.MeltingParam_Assimilation"><code>GeoParams.MeltingParam.MeltingParam_Assimilation</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Assimilation(T_s,T_l,a)</code></pre><p>Melt fraction parameterisation that takes the assimilation of crustal host rocks into account, as used by Tierney et al. (2016) based upon a parameterisation of Spera and Bohrson (2001)</p><p>Here, the fraction of molten and assimilated host rocks <span>$\phi$</span> depends on the solidus (<span>$T_s$</span>) and liquidus (<span>$T_l$</span>) temperatures of the rocks, as well as on a parameter <span>$a=0.005$</span></p><p class="math-container">\[    X = \left( {T - T_s} \over {T_l - T_s} \right)\]</p><p class="math-container">\[    \phi = a \cdot \left( \exp^{2ln(100)X} - 1.0 \right) \textrm{ if } X ≤ 0.5\]</p><p class="math-container">\[    \phi = 1- a \cdot \exp^{2ln(100)(1-X)}  \textrm{ if } X &gt; 0.5\]</p><p class="math-container">\[    \phi = 1.0 \textrm{ if } T&gt;T_l \]</p><p class="math-container">\[    \phi = 0.0 \textrm{ if } T&lt;T_s \]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_Assimilation.png" alt="MeltingParam_Assimilation"/></p><p>This was used, among others, in Tierney et al. (2016), who employed as default parameters:</p><p class="math-container">\[   T_s=973.15, T_l=1173.15, a=0.005\]</p><p><strong>References</strong></p><ul><li>Spera, F.J., and Bohrson, W.A., 2001, Energy-Constrained Open-System Magmatic Processes I: General Model and Energy-Constrained Assimilation and Fractional Crystallization (EC- AFC) Formulation: Journal of Petrology, v. 42, p. 999–1018.</li><li>Tierney, C.R., Schmitt, A.K., Lovera, O.M., de Silva, S.L., 2016. Voluminous plutonism during volcanic quiescence revealed by thermochemical modeling of zircon. Geology 44, 683–686. https://doi.org/10.1130/G37968.1</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/MeltFraction/MeltingParameterization.jl#L421-L456">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.SmoothMelting" href="#GeoParams.MeltingParam.SmoothMelting"><code>GeoParams.MeltingParam.SmoothMelting</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">SmoothMelting(; p=MeltingParam_4thOrder(), k_sol=0.2/K,  k_liq=0.2/K)</code></pre><p>This smoothens the melting parameterisation <span>$p$</span> around the solidus <span>$T_{sol}$</span> and liquidus <span>$T_{liq}$</span> using a smoothened Heaviside step functions for the solidus:</p><p class="math-container">\[    H_{sol} =  {1.0 \over { 1 + \exp( -2 k_{sol} (T - T_{sol} - {2 \over k_{sol}}) )  }}\]</p><p>and liquidus:        </p><p class="math-container">\[    H_{liq} =  1.0 - {1.0 \over { 1 + \exp( -2 k_{liq} (T - T_{liq} + {2 \over k_{liq}}) )  }}\]</p><p>The resulting melt fraction <span>$\phi$</span> is computed from the original melt fraction <span>$\phi_0$</span> (computed using one of the methods above) as:</p><p class="math-container">\[    \phi =  \phi_0 H_{sol} H_{liq} + 1.0 - H_{liq}\]</p><p>The width of the smoothening zones is controlled by <span>$k_{sol}, k_{liq}$</span> (larger values = sharper boundary).</p><p>This is important, as jumps in the derivative <span>$dϕ/dT$</span> can cause numerical instabilities in latent heat computations, which is prevented with this smoothening.</p><p><strong>Example</strong></p><p>Let&#39;s consider a 4th order parameterisation:</p><pre><code class="language-julia hljs">julia&gt; using GeoParams, Plots
+julia&gt; p = MeltingParam_4thOrder();
+julia&gt; T= collect(650.0:1:1050.) .+ 273.15;
+julia&gt; T,phi,dϕdT =  PlotMeltFraction(p,T=T);</code></pre><p>The same but with smoothening:</p><pre><code class="language-julia hljs">julia&gt; p_s = SmoothMelting(p=MeltingParam_4thOrder(), k_liq=0.21/K);
+4th order polynomial melting curve: phi = -7.594512597174117e-10T^4 + 3.469192091489447e-6T^3 + -0.00592352980926T^2 + 4.482855645604745T + -1268.730161921053  963.15 K ≤ T ≤ 1270.15 K with smooth Heaviside function smoothening using k_sol=0.1 K⁻¹·⁰, k_liq=0.11 K⁻¹·⁰
+julia&gt; T_s,phi_s,dϕdT_s =  PlotMeltFraction(p_s,T=T);</code></pre><p>We can create plots of this with:</p><pre><code class="language-julia hljs">julia&gt; plt1 = plot(T.-273.15, phi, ylabel=&quot;Melt Fraction ϕ&quot;, color=:red, label=&quot;original&quot;, xlabel=&quot;Temperature [C]&quot;)
+julia&gt; plt1 = plot(plt1, T.-273.15, phi_s,  color=:black, label=&quot;smoothened&quot;, legend=:bottomright)
+julia&gt; plt2 = plot(T.-273.15, dϕdT, ylabel=&quot;dϕ/dT&quot;, color=:red, label=&quot;original&quot;, xlabel=&quot;Temperature [C]&quot;)
+julia&gt; plt2 = plot(plt2, T.-273.15, dϕdT_s,  color=:black, label=&quot;smoothened&quot;, legend=:topright)
+julia&gt; plot!(plt1,plt2,   xlabel=&quot;Temperature [C]&quot;, layout=(2,1))</code></pre><p>The derivative no longer has a jump now:</p><p><img src="../assets/img/MeltingParam_Smooth.png" alt="MeltingParam_Smooth"/></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/MeltFraction/MeltingParameterization.jl#L548-L599">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute the melt fraction at given <code>T</code> and <code>P</code>, use:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction!" href="#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_meltfraction!(ϕ::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T:AbstractArray{&lt;:AbstractFloat}, p::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/MeltFraction/MeltingParameterization.jl#L716-L720">source</a></section><section><div><pre><code class="nohighlight hljs">compute_meltfraction(ϕ::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/MeltFraction/MeltingParameterization.jl#L822-L826">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction" href="#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_meltfraction(P,T, p::AbstractPhaseDiagramsStruct)</code></pre><p>Computes melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/MeltFraction/MeltingParameterization.jl#L704-L708">source</a></section><section><div><pre><code class="nohighlight hljs">ϕ = compute_meltfraction(Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/MeltFraction/MeltingParameterization.jl#L815-L819">source</a></section></article><p>You can also obtain the derivative of melt fraction versus temperature with (useful to compute latent heat effects):</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_dϕdT!" href="#GeoParams.MeltingParam.compute_dϕdT!"><code>GeoParams.MeltingParam.compute_dϕdT!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_dϕdT!(dϕdT::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T:AbstractArray{&lt;:AbstractFloat}, p::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified. The derivative is computed by finite differencing.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/MeltFraction/MeltingParameterization.jl#L753-L758">source</a></section><section><div><pre><code class="nohighlight hljs">compute_dϕdT!(ϕ::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computates the derivative of melt fraction <code>ϕ</code> versus temperature <code>T</code>, <span>${\partial \phi} \over {\partial T}$</span> for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This is employed, for example, in computing latent heat terms in an implicit manner.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/MeltFraction/MeltingParameterization.jl#L837-L842">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_dϕdT" href="#GeoParams.MeltingParam.compute_dϕdT"><code>GeoParams.MeltingParam.compute_dϕdT</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_dϕdT(P,T, p::AbstractPhaseDiagramsStruct)</code></pre><p>Computes derivative of melt fraction vs T in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified. The derivative is computed by finite differencing.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/MeltFraction/MeltingParameterization.jl#L735-L740">source</a></section><section><div><pre><code class="nohighlight hljs">ϕ = compute_dϕdT(Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computates the derivative of melt fraction ϕ versus temperature <code>T</code> for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This is employed in computing latent heat terms in an implicit manner, for example</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/MeltFraction/MeltingParameterization.jl#L829-L834">source</a></section></article><p>Also note that phase diagrams can be imported using <code>PerpleX_LaMEM_Diagram</code>, which may also have melt content information.  The computational routines work with that as well.</p><h1 id="Plotting-routines"><a class="docs-heading-anchor" href="#Plotting-routines">Plotting routines</a><a id="Plotting-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting-routines" title="Permalink"></a></h1><p>You can use the routine <code>PlotMeltFraction</code> to create a plot, provided that the <code>Plots</code> package has been loaded</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotMeltFraction" href="#GeoParams.PlotMeltFraction"><code>GeoParams.PlotMeltFraction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">T,phi,plt = PlotMeltFraction(p::AbstractMeltingParam; T=nothing, plt=nothing, lbl=nothing)</code></pre><p>Creates a plot of temperature <code>T</code> vs. melt fraction, as specified in <code>p</code>.  The 1D curve can be evaluated at a specific pressure <code>P</code> which can be given as a scalar or as an array of the same size as <code>T</code></p><p><strong>Optional parameters</strong></p><ul><li><code>T</code>: temperature range</li><li><code>P</code>: pressure </li><li><code>plt</code>: a previously generated plotting object</li><li><code>lbl</code>: label of the curve</li></ul><p><strong>Example</strong></p><pre><code class="nohighlight hljs">julia&gt; p          =  MeltingParam_Caricchi()
+julia&gt; T,phi,dϕdT =  PlotMeltFraction(p)</code></pre><p>you can now save the figure to disk with:</p><pre><code class="nohighlight hljs">julia&gt; using Plots
+julia&gt; savefig(plt,&quot;MeltFraction.png&quot;)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Plotting.jl#L198-L221">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../gravity/">« Gravity</a><a class="docs-footer-nextpage" href="../TASclassification/">TAS classification »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 6 June 2022 13:31">Monday 6 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Nondimensionalization</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Nondimensionalization</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/nondimensionalize.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Nondimensionalization"><a class="docs-heading-anchor" href="#Nondimensionalization">Nondimensionalization</a><a id="Nondimensionalization-1"></a><a class="docs-heading-anchor-permalink" href="#Nondimensionalization" title="Permalink"></a></h1><p>Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between <code>GEO</code>, <code>SI</code> or <code>NO</code> units:</p><ul><li><code>SI</code> units assume all input and output is in <code>SI</code> units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).</li><li><code>GEO</code> units uses <code>SI</code> units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as <code>Myrs</code>,<code>km</code> or <code>MPa</code></li><li><code>NO</code> units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that <code>velocity</code> is given in <code>m/s</code>).</li></ul><p>A dimensional parameter can be transformed into a non-dimensional one with <code>nondimensionalize</code>.</p><h1 id="Specify-characteristic-values"><a class="docs-heading-anchor" href="#Specify-characteristic-values">Specify characteristic values</a><a id="Specify-characteristic-values-1"></a><a class="docs-heading-anchor-permalink" href="#Specify-characteristic-values" title="Permalink"></a></h1><p>Characteristic values can be defined in 3 ways.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units" href="#GeoParams.Units"><code>GeoParams.Units</code></a> — <span class="docstring-category">Module</span></header><section><div><pre><code class="language-julia hljs">This provides units and creates a non-dimensionalization object</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Units.jl#L1-L3">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.AbstractGeoUnit" href="#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><p>AbstractGeoUnit</p><p>Abstract supertype for geo units.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Units.jl#L57-L61">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnit" href="#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.
+
+Having that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.
+With the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Units.jl#L72-L79">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnits" href="#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">GeoUnits
+
+Structure that holds parameters used for non-dimensionalization</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Units.jl#L194-L198">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GEO_units" href="#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)</code></pre><p>Creates a non-dimensionalization object using GEO units.</p><p>GEO units implies that upon dimensionalization, <code>time</code> will be in <code>Myrs</code>, <code>length</code> in <code>km</code>, stress in <code>MPa</code>, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (<code>km</code> or <code>m</code>), provided the unit is specified.</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = GEO_units()
+Employing GEO units 
+Characteristic values: 
+         length:      1000 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C
+julia&gt; CharUnits.velocity
+1.0e-7 m s⁻¹</code></pre><p>If we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic <code>length</code>:</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = GEO_units(length=10km)
+Employing GEO units 
+Characteristic values: 
+         length:      10 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Units.jl#L248-L279">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.SI_units" href="#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)</code></pre><p>Specify the characteristic values using SI units </p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = SI_units(length=1000m)
+Employing SI units 
+Characteristic values: 
+         length:      1000 m
+         time:        1.0e19 s
+         stress:      10 Pa
+         temperature: 1000.0 K</code></pre><p>Note that the same can be achieved if the input is given in <code>km</code>:</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = SI_units(length=1km)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Units.jl#L303-L322">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.NO_units" href="#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)</code></pre><p>Specify the characteristic values in non-dimensional units</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GeoParams;
+julia&gt; CharUnits = NO_units()
+Employing NONE units 
+Characteristic values: 
+         length:      1
+         time:        1.0 
+         stress:      1
+         temperature: 1.0</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Units.jl#L345-L361">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_val" href="#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia hljs">This unpacks the numerical value of `GeoUnit` in a structure, without the units.
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_val ρ,α = r
+julia&gt; α
+4.0e-5
+julia&gt; typeof(α)
+Float64</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/unpack.jl#L4-L23">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_units" href="#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia hljs">This unpacks the numerical value with units of `GeoUnit` parameters in a structure
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_units ρ,α = r
+julia&gt; α
+4.0e-5 K⁻¹·⁰
+julia&gt; typeof(α)
+Quantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/unpack.jl#L44-L63">source</a></section></article><h1 id="(Non)-dimensionalize-parameters"><a class="docs-heading-anchor" href="#(Non)-dimensionalize-parameters">(Non)-dimensionalize parameters</a><a id="(Non)-dimensionalize-parameters-1"></a><a class="docs-heading-anchor-permalink" href="#(Non)-dimensionalize-parameters" title="Permalink"></a></h1><p>Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.nondimensionalize" href="#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">nondimensionalize(param, CharUnits::GeoUnits{TYPE})</code></pre><p>Nondimensionalizes <code>param</code> using the characteristic values specified in <code>CharUnits</code></p><p><strong>Example 1</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GeoParams;
+julia&gt; CharUnits =   GEO_units();
+julia&gt; v         =   3cm/yr
+3 cm yr⁻¹ 
+julia&gt; v_ND      =   nondimensionalize(v, CharUnits) 
+0.009506426344208684</code></pre><p><strong>Example 2</strong></p><p>In geodynamics one sometimes encounters more funky units</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits =   GEO_units();
+julia&gt; A         =   6.3e-2MPa^-3.05*s^-1
+0.063 MPa⁻³·⁰⁵ s⁻¹
+julia&gt; A_ND      =   nondimensionalize(A, CharUnits) 
+7.068716262102384e14</code></pre><p>In case you are interested to see how the units of <code>A</code> look like in different units, use this function from the <a href="https://github.com/PainterQubits/Unitful.jl">Unitful</a> package:</p><pre><code class="language-julia-repl hljs">julia&gt; uconvert(u&quot;Pa^-3.05*s^-1&quot;,A) 
+3.157479571851836e-20 Pa⁻³·⁰⁵</code></pre><p>and to see it decomposed in the basic <code>SI</code> units of length, mass and time:</p><pre><code class="language-julia-repl hljs">julia&gt; upreferred(A)
+3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Units.jl#L379-L413">source</a></section><section><div><pre><code class="nohighlight hljs">MatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Non-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Units.jl#L467-L472">source</a></section><section><div><pre><code class="nohighlight hljs">nondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>nondimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Units.jl#L494-L498">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.dimensionalize" href="#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes <code>param</code> into the dimensions <code>param_dim</code> using the characteristic values specified in <code>CharUnits</code>.  </p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits =   GEO_units();
+julia&gt; v_ND      =   nondimensionalize(3cm/yr, CharUnits) 
+0.031688087814028945
+julia&gt; v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) 
+3.0 cm yr⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Units.jl#L530-L544">source</a></section><section><div><pre><code class="nohighlight hljs">dimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Units.jl#L568-L573">source</a></section><section><div><pre><code class="nohighlight hljs">Dimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>Dimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Units.jl#L595-L599">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.isDimensional" href="#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">isDimensional(MatParam::AbstractMaterialParam)</code></pre><p><code>true</code> if MatParam is in dimensional units.    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Units.jl#L619-L623">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../geounit/">« GeoUnit</a><a class="docs-footer-nextpage" href="../materialparameters/">Material Parameters »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 6 June 2022 13:31">Monday 6 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.8/man/phasediagrams/index.html b/v0.3.8/man/phasediagrams/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Phase Diagrams · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" 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class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a 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class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Phase Diagrams</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Phase Diagrams</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/phasediagrams.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Phase-Diagrams"><a class="docs-heading-anchor" href="#Phase-Diagrams">Phase Diagrams</a><a id="Phase-Diagrams-1"></a><a class="docs-heading-anchor-permalink" href="#Phase-Diagrams" title="Permalink"></a></h1><p>It is possible to employ phase diagrams as lookup tables, which can be used to compute density, melt fraction or seismic properties, for example. </p><h1 id="Perple_X"><a class="docs-heading-anchor" href="#Perple_X">Perple_X</a><a id="Perple_X-1"></a><a class="docs-heading-anchor-permalink" href="#Perple_X" title="Permalink"></a></h1><p>A popular way to compute phase diagrams (pseudosections) for a given (fixed) chemical composition as a function of pressure and temperature is by using <a href="https://www.perplex.ethz.ch">Perple_X</a>. Once a stable assemblage is computed, through Gibbs energy minimisation, it allows you to output a large number of properties such as density, melt fraction or seismic velocities.</p><p>Within GeoParams, we can import this diagram (provided it is formatted in the same manner as <code>LaMEM</code> expects <code>Perple_X</code> input to be).</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PerpleX_LaMEM_Diagram" href="#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">PD_Data = PerpleX_LaMEM_Diagram(fname::String; CharDim = nothing)</code></pre><p>Reads a precomputed phase diagram in the <code>LaMEM/Perple_X</code> format (which is a phase diagram computed using <code>Perple_X</code>, but formatted in a manner that is readable using LaMEM). The data is stored in the <code>PhaseDiagram_LookupTable</code> structure.</p><p>If the <code>CharDim</code> object is specified, the values of all diagrams will be non-dimensionalized.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; PD_Data = PerpleX_LaMEM_Diagram(&quot;./test_data/Peridotite.in&quot;)
+Perple_X/LaMEM Phase Diagram Lookup Table: 
+                      File    :   ./test_data/Peridotite.in
+                      T       :   293.0 - 1573.000039
+                      P       :   1.0e7 - 2.9999999944e9
+                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp
+                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs
+                                  :Vp, :Vs, :VpVs</code></pre><p>Once imported, the properties on the diagram can be interpolated in a simple manner:</p><pre><code class="nohighlight hljs">julia&gt; PD_Data.Rho(1500,1e7)
+3042.836820256982</code></pre><p>This also works for vectors or arrays:</p><pre><code class="language-julia hljs">julia&gt; T = [1500 1800; 1233 1300]
+julia&gt; P = [1e8 1e9; 1e7 1e7]
+julia&gt; rho = PD_Data.Rho.(T,P)</code></pre><p>(Note the dot <code>.</code> in front of the bracket while evaluating arrays).</p><p>The fields that are available depend on what is listed in the diagram file.  The units of the fields are automatically evaluated, and employed to non-dimensionalize the parameters if <code>CharDim</code> is specified. </p><p><strong>Algorithm</strong></p><p>Internally, we employ linear interpolation, as provided by the <a href="https://github.com/JuliaMath/Interpolations.jl">Interpolations.jl</a> package. Values outside the range of the diagram are set to the boundary of the diagram. The interpolation object is directly encoded in the <code>PhaseDiagram_LookupTable</code>` object.  </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/PhaseDiagrams/PhaseDiagrams.jl#L39-L80">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable" href="#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Contains data of a Phase Diagram that is regularly spaced in P &amp; T</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/PhaseDiagrams/PhaseDiagrams.jl#L15-L17">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../zirconages/">« Zircon Ages</a><a class="docs-footer-nextpage" href="../seismicvelocity/">Seismic Velocity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 6 June 2022 13:31">Monday 6 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.8/man/plasticity/index.html b/v0.3.8/man/plasticity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Plasticity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li class="is-active"><a class="tocitem" href>Plasticity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Implemented-laws"><span>Implemented  laws</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Plasticity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Plasticity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/plasticity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Plasticity"><a class="docs-heading-anchor" href="#Plasticity">Plasticity</a><a id="Plasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Plasticity" title="Permalink"></a></h1><p>Plasticity is a non;linear rheology bthat is actrivated once stresses exceed a certain yield criteria.</p><h1 id="Implemented-laws"><a class="docs-heading-anchor" href="#Implemented-laws">Implemented  laws</a><a id="Implemented-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-laws" title="Permalink"></a></h1><p>The following plastic law are implemented:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Plasticity.DruckerPrager" href="#GeoParams.MaterialParameters.Plasticity.DruckerPrager"><code>GeoParams.MaterialParameters.Plasticity.DruckerPrager</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DruckerPrager(ϕ=30, Ψ=0, C=10e6Pa)</code></pre><p>Sets parameters for Drucker-Prager plasticity, where the yield stress <span>$\sigma_{y}$</span> is computed by</p><p class="math-container">\[    \sigma_{y} = (P-P_f)\tan(ϕ) + C\]</p><p>with <span>$\phi$</span> being the friction angle (in degrees), <span>$C$</span> cohesion, <span>$P$</span> dynamic pressure and <span>$P_f$</span> the fluid pressure (both positive under compression).  </p><p><em>Yielding</em> occurs when the second invariant of the deviatoric stress tensor, <span>$\tau_{II}=(0.5\tau_{ij}\tau_{ij})^{0.5}$</span> touches the yield stress.  This can be computed with the yield function <span>$F$</span> and the plastic flow potential <span>$Q$</span>, which are respectively given by </p><p class="math-container">\[    F = \tau_{II} - \cos(ϕ)C - \sin(ϕ)(P-P_f)\]</p><p class="math-container">\[    Q = \tau_{II} - \sin(Ψ)(P-P_f) \]</p><p>Here, Ψ is the dilation angle, which must be zero for incompressible setups.</p><p>Plasticity is activated when <span>$F(\tau_{II}^{trial})$</span> (the yield function computed with a trial stress) is &gt;0. In that case, plastic strainrate <span>$\dot{\varepsilon}^{pl}_{ij}$</span> is computed by:</p><p class="math-container">\[    \dot{\varepsilon}^{pl}_{ij} =\dot{\lambda} {\partial Q \over \partial \sigma_{ij}}\]</p><p>where <span>$\dot{\lambda}$</span> is a (scalar) that is nonzero and chosen such that the resuling stress gives <span>$F(\tau_{II}^{final})=0$</span>, and <span>$\sigma_{ij}=-P + \tau_{ij}$</span> denotes the total stress tensor.   </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Plasticity/Plasticity.jl#L23-L48">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>Once a plastic rheology is defined, we can use the following routines to perform computations within the solvers</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Plasticity.compute_yieldfunction" href="#GeoParams.MaterialParameters.Plasticity.compute_yieldfunction"><code>GeoParams.MaterialParameters.Plasticity.compute_yieldfunction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_yieldfunction(s::DruckerPrager; P, τII_old, Pf, kwargs...)</code></pre><p>Computes the plastic yield function <code>F</code> for a given second invariant of the deviatoric stress tensor <code>τII</code>,  <code>P</code> the pressure, and <code>Pf</code> fluid pressure.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Plasticity/Plasticity.jl#L70-L74">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Plasticity.compute_yieldfunction!" href="#GeoParams.MaterialParameters.Plasticity.compute_yieldfunction!"><code>GeoParams.MaterialParameters.Plasticity.compute_yieldfunction!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_yieldfunction!(F::AbstractArray{_T,N}, s::DruckerPrager{_T}; P::AbstractArray{_T,N}, τII::AbstractArray{_T,N}, Pf=zero(P)::AbstractArray{_T,N}, kwargs...)</code></pre><p>Computes the plastic yield function <code>F</code> for Drucker-Prager plasticity in an in-place manner. Required input arrays are pressure <code>P</code> and the second invariant of the deviatoric stress tensor <code>τII</code> at every point.  You can optionally provide an array with fluid pressure <code>Pf</code> as well. </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Plasticity/Plasticity.jl#L77-L83">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../elasticity/">« Elasticity</a><a class="docs-footer-nextpage" href="../heatcapacity/">Heat Capacity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 6 June 2022 13:31">Monday 6 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.8/man/plotting/index.html b/v0.3.8/man/plotting/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Plotting · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li class="is-active"><a class="tocitem" href>Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Plotting</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Plotting</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/plotting.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Plotting"><a class="docs-heading-anchor" href="#Plotting">Plotting</a><a id="Plotting-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting" title="Permalink"></a></h1><p>We provide a number of plotting routines. Note that these plotting routines only become available once the <code>Plots</code> package is loaded.</p><h3 id="Plot-CreepLaws"><a class="docs-heading-anchor" href="#Plot-CreepLaws">Plot CreepLaws</a><a id="Plot-CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#Plot-CreepLaws" title="Permalink"></a></h3><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotStressStrainrate_CreepLaw" href="#GeoParams.PlotStressStrainrate_CreepLaw"><code>GeoParams.PlotStressStrainrate_CreepLaw</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">PlotStressStrainrate_CreepLaw(x::AbstractCreepLaw; p::CreepLawParams=nothing, Strainrate=(1e-18,1e-12), CreatePlot::Bool=false)</code></pre><p>Plots deviatoric stress versus deviatoric strain rate for a single creeplaw.      Note: if you want to create plots or use the <code>CreatePlot=true</code> option you need to install the <code>Plots.jl</code> package in julia     which is not added as a dependency here (as it is a rather large dependency).</p><p><strong>Example 1</strong></p><pre><code class="language-julia-repl hljs">julia&gt; x=LinearViscous()
+Linear viscosity: η=1.0e20 Pa s
+julia&gt; Tau_II, Eps_II,  = PlotStressStrainrate_CreepLaw(x);</code></pre><p>Next you can plot this with</p><pre><code class="language-julia-repl hljs">julia&gt; using Plots;
+julia&gt; plot(ustrip(Eps_II),ustrip(Tau_II), xaxis=:log, yaxis=:log,xlabel=&quot;strain rate [1/s]&quot;,ylabel=&quot;Dev. Stress [MPa]&quot;)</code></pre><p>Note that <code>ustrip</code> removes the units of the arrays, as many of the plotting packages don&#39;t know how to deal with that.</p><p>You could also have done:</p><pre><code class="language-julia-repl hljs">julia&gt; using Plots;
+julia&gt; Tau_II, Eps_II, pl = PlotStressStrainrate_CreepLaw(x,CreatePlot=true);</code></pre><p>which will generate the following plot <img src="../assets/img/Stress_Strainrate_LinearViscous.png" alt="subet1"/></p><p>The plot can be customized as </p><pre><code class="language-julia-repl hljs">julia&gt; plot(pl, title=&quot;Linear viscosity&quot;, linecolor=:red)</code></pre><p>See the <a href="https://github.com/JuliaPlots/Plots.jl">Plots.jl</a> package for more options.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Plotting.jl#L29-L63">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotHeatCapacity" href="#GeoParams.PlotHeatCapacity"><code>GeoParams.PlotHeatCapacity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">T,Cp,plt = PlotHeatCapacity(cp::AbstractHeatCapacity; T=nothing, plt=nothing, lbl=nothing)</code></pre><p>Creates a plot of temperature <code>T</code> vs. heat capacity, as specified in cp (which can be temperature-dependent).</p><p><strong>Optional parameters</strong></p><ul><li>T: temperature range</li><li>plt: a previously generated plotting object</li><li>lbl: label of the curve</li></ul><p><strong>Example</strong></p><pre><code class="nohighlight hljs">julia&gt; cp = T_HeatCapacity_Whittacker()
+julia&gt; T,Cp,plt = PlotHeatCapacity(cp)</code></pre><p>you can now save the figure to disk with:</p><pre><code class="nohighlight hljs">julia&gt; using Plots
+julia&gt; savefig(plt,&quot;Tdependent_heatcapacity.png&quot;)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Plotting.jl#L99-L120">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotConductivity" href="#GeoParams.PlotConductivity"><code>GeoParams.PlotConductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">T,Kk,plt = PlotConductivity(cp::AbstractConductivity; T=nothing, plt=nothing, lbl=nothing)</code></pre><p>Creates a plot of temperature <code>T</code> vs. thermal conductivity, as specified in <code>k</code> (which can be temperature-dependent).</p><p><strong>Optional parameters</strong></p><ul><li><code>T</code>: temperature range</li><li><code>plt</code>: a previously generated plotting object</li><li><code>lbl</code>: label of the curve</li></ul><p><strong>Example</strong></p><pre><code class="nohighlight hljs">julia&gt; k = T_Conductivity_Whittacker()
+julia&gt; T,KK,plt = PlotConductivity(k)</code></pre><p>you can now save the figure to disk with:</p><pre><code class="nohighlight hljs">julia&gt; using Plots
+julia&gt; savefig(plt,&quot;Tdependent_conductivity.png&quot;)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Plotting.jl#L147-L168">source</a></section></article><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotMeltFraction</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotPhaseDiagram" href="#GeoParams.PlotPhaseDiagram"><code>GeoParams.PlotPhaseDiagram</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">plt, data, Tvec, Pvec = PlotPhaseDiagram(p::PhaseDiagram_LookupTable; fieldname::Symbol, Tvec=nothing, Pvec=nothing)</code></pre><p>Plots a phase diagram as a function of <code>T</code> (x-axis) and <code>P</code> (y-axis). We either use the default ranges of the diagram, or you can specify the temperature and pressure ranges (while specifying units). The return arguments are the plotting object <code>plt</code> (so you can modify properties) as well as the data that is being plotted</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; PD_data =  Read_LaMEM_Perple_X_Diagram(&quot;Peridotite.in&quot;)
+Perple_X/LaMEM Phase Diagram Lookup Table: 
+                      File    :   Peridotite.in
+                      T       :   293.0 - 1573.000039
+                      P       :   1.0e7 - 2.9999999944e9
+                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp
+                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs
+                                  :Vp, :Vs, :VpVs, :cpxFrac
+julia&gt; PlotPhaseDiagram(PD_data,:meltFrac, Tvec=(100:1:1400).*C, Pvec=(.1:.1:30).*kbar )</code></pre><p>This will generate the following plot <img src="../assets/img/PhaseDiagram.png" alt="subet2"/></p><p>You can also use the default pressure/temperature ranges in the diagrams:</p><pre><code class="language-julia hljs">julia&gt; PlotPhaseDiagram(PD_data,:Rho)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Plotting.jl#L259-L287">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../seismicvelocity/">« Seismic Velocity</a><a class="docs-footer-nextpage" href="../listfunctions/">List of functions »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 6 June 2022 13:31">Monday 6 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.8/man/radioactiveheating/index.html b/v0.3.8/man/radioactiveheating/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Radioactive heat · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li class="is-active"><a class="tocitem" href>Radioactive heat</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Radioactive heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Radioactive heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/radioactiveheating.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Radioactive-heat"><a class="docs-heading-anchor" href="#Radioactive-heat">Radioactive heat</a><a id="Radioactive-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Radioactive-heat" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Radioactive heat sources are defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat" href="#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)</code></pre><p>Set a constant radioactive heat:</p><p class="math-container">\[    H_r  = cst\]</p><p>where <span>$H_r$</span> is the radioactive heat source [<span>$Watt/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Energy/RadioactiveHeat.jl#L24-L32">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat" href="#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ExpDepthDependent(H_0=1e-6Watt/m^3, h_r=10e3m, z_0=0m)</code></pre><p>Sets an exponential depth-dependent radioactive </p><p class="math-container">\[    H_r  = H_0 \exp \left( {- {(z - z_0) \over h_r}} \right)\]</p><p>where <span>$H_0$</span> is the radioactive heat source [<span>$Watt/m^3$</span>] at <span>$z=z_0$</span> which decays with depth over a characteristic distance <span>$h_r$</span>.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Energy/RadioactiveHeat.jl#L72-L80">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat!</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../latentheat/">« Latent heat</a><a class="docs-footer-nextpage" href="../shearheating/">Shear heating »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 6 June 2022 13:31">Monday 6 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.8/man/seismicvelocity/index.html b/v0.3.8/man/seismicvelocity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Seismic Velocity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li class="is-active"><a class="tocitem" href>Seismic Velocity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-velocity-correction-for-partial-melt"><span>Seismic velocity correction for partial melt</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-2"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-2"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-velocity-correction-for-anelasticity"><span>Seismic velocity correction for anelasticity</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-3"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-3"><span>Computational routines</span></a></li></ul></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Seismic Velocity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Seismic Velocity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/seismicvelocity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Seismic-velocity"><a class="docs-heading-anchor" href="#Seismic-velocity">Seismic velocity</a><a id="Seismic-velocity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Seismic velocity can specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity" href="#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)</code></pre><p>Set a constant seismic P and S-wave velocity:</p><p class="math-container">\[    V_p = cst\]</p><p class="math-container">\[    V_s = cst\]</p><p>where <span>$V_p, V_s$</span> are the P-wave and S-wave velocities [<span>$km/s$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/SeismicVelocity/SeismicVelocity.jl#L27-L38">source</a></section></article><p>In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.</p><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To evaluate seismic velocity within a user routine, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity!" href="#GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity!"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_swave_velocity!(Vs_array::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, s::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of S-wave velocity as a function of <code>T,P</code>, in case we are using a lookup table.    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/SeismicVelocity/SeismicVelocity.jl#L121-L125">source</a></section><section><div><pre><code class="nohighlight hljs">compute_swave_velocity!(Vs_array::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of S-wave velocity <code>Vp</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/SeismicVelocity/SeismicVelocity.jl#L158-L164">source</a></section><section><div><pre><code class="nohighlight hljs">compute_swave_velocity!(Vs_array::AbstractArray{&lt;:AbstractFloat,N}, PhaseRatios::AbstractArray{&lt;:AbstractFloat, M}, P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of seismic S-wave velocity <code>Vs</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/SeismicVelocity/SeismicVelocity.jl#L212-L218">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity!" href="#GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity!"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_pwave_velocity!(Vp_array::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, s::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of P-wave velocity as a function of <code>T,P</code>, in case we are using a lookup table.    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/SeismicVelocity/SeismicVelocity.jl#L111-L115">source</a></section><section><div><pre><code class="nohighlight hljs">compute_pwave_velocity!(Vp_array::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of P-wave velocity <code>Vp</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/SeismicVelocity/SeismicVelocity.jl#L133-L139">source</a></section><section><div><pre><code class="nohighlight hljs">compute_pwave_velocity!(Vp_array::AbstractArray{&lt;:AbstractFloat,N}, PhaseRatios::AbstractArray{&lt;:AbstractFloat, M}, P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of seismic P-wave velocity <code>Vp</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/SeismicVelocity/SeismicVelocity.jl#L183-L189">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity" href="#GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_pwave_velocity(P,T, s::PhaseDiagram_LookupTable)</code></pre><p>Interpolates <code>Vp</code> as a function of <code>T,P</code>   </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/SeismicVelocity/SeismicVelocity.jl#L93-L97">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity" href="#GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_swave_velocity(P,T, s::PhaseDiagram_LookupTable)</code></pre><p>Interpolates <code>Vs</code> as a function of <code>T,P</code>   </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/SeismicVelocity/SeismicVelocity.jl#L102-L106">source</a></section></article><h1 id="Seismic-velocity-correction-for-partial-melt"><a class="docs-heading-anchor" href="#Seismic-velocity-correction-for-partial-melt">Seismic velocity correction for partial melt</a><a id="Seismic-velocity-correction-for-partial-melt-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity-correction-for-partial-melt" title="Permalink"></a></h1><h1 id="Methods-2"><a class="docs-heading-anchor" href="#Methods-2">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-2" title="Permalink"></a></h1><p>The routine uses the reduction formulation of Clark et al., (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.</p><h1 id="Computational-routines-2"><a class="docs-heading-anchor" href="#Computational-routines-2">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-2" title="Permalink"></a></h1><p>To compute melt-content based correction for seismic waves velocities, you can use:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.melt_correction" href="#GeoParams.MaterialParameters.SeismicVelocity.melt_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.melt_correction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">    Vp_cor,Vs_cor = melt_correction(  Kb_L, Kb_S, Ks_S, ρL, ρS, Vp0, Vs0, ϕ, α)</code></pre><p>Corrects P- and S-wave velocities if the rock is partially molten. </p><p><strong>Input:</strong></p><ul><li><code>Kb_L</code>: adiabatic bulk modulus of melt</li><li><code>Kb_S</code>: adiabatic bulk modulus of the solid phase</li><li><code>Ks_S</code>: shear modulus of the solid phase</li><li><code>ρL</code>  : density of the melt</li><li><code>ρS</code>  : density of the solid phase</li><li><code>Vp0</code> : initial P-wave velocitiy of the solid phase</li><li><code>Vs0</code> : initial S-wave velocitiy of the solid phase</li><li><code>ϕ</code>   : melt volume fraction</li><li><code>α</code>   : contiguity coefficient defining the geometry of the solid framework (contiguity)         0.0 (layered melt distributed) &lt; 0.1 (grain boundary melt) &lt; 1.0 (melt in separated bubble pockets)</li></ul><p><strong>Output:</strong></p><ul><li><code>Vp_cor,Vs_cor</code> : corrected P-wave and S-wave velocities for melt fraction</li></ul><p>The routine uses the reduction formulation of Clark &amp; Lesher, (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.</p><p><strong>References:</strong></p><ul><li><p>Takei (1998) Constitutive mechanical relations of solid-liquid composites in terms of grain-boundary contiguity, Journal of Geophysical Research: Solid Earth, Vol(103)(B8), 18183–18203</p></li><li><p>Clark &amp; Lesher (2017) Elastic properties of silicate melts: Implications for low velocity zones at the lithosphere-asthenosphere boundary. Science Advances, Vol 3 (12), e1701312</p></li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/SeismicVelocity/SeismicVelocity.jl#L242-L274">source</a></section></article><h1 id="Seismic-velocity-correction-for-anelasticity"><a class="docs-heading-anchor" href="#Seismic-velocity-correction-for-anelasticity">Seismic velocity correction for anelasticity</a><a id="Seismic-velocity-correction-for-anelasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity-correction-for-anelasticity" title="Permalink"></a></h1><h1 id="Methods-3"><a class="docs-heading-anchor" href="#Methods-3">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-3" title="Permalink"></a></h1><p>The routine uses the reduction formulation of karato (1993), using the quality factor formulation from Behn et al. (2009)</p><h1 id="Computational-routines-3"><a class="docs-heading-anchor" href="#Computational-routines-3">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-3" title="Permalink"></a></h1><p>To compute a correction of S-wave velocity for anelasticity, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction" href="#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">    Vs_anel = anelastic_correction(water::Int64, Vs0::Float64,P::Float64,T::Float64)</code></pre><p>This routine computes a correction of S-wave velocity for anelasticity</p><p><strong>Input:</strong></p><ul><li><code>water</code>: water flag, 0 = dry; 1 = dampened; 2 = water saturated </li><li><code>Vs0</code>  : S-wave velocitiy of the solid phase (with or without melt correction)</li><li><code>P</code>    : pressure given in kbar</li><li><code>T</code>    : temperature given in °C</li></ul><p><strong>Output:</strong></p><ul><li><code>Vs_anel</code> : corrected S-wave velocity for anelasticity</li></ul><p>The routine uses the reduction formulation of Karato (1993), using the quality factor formulation from Behn et al. (2009)</p><p><strong>References:</strong></p><ul><li><p>Karato, S. I. (1993). Importance of anelasticity in the interpretation of seismic tomography. Geophysical research letters, 20(15), 1623-1626.</p></li><li><p>Behn, M. D., Hirth, G., &amp; Elsenbeck II, J. R. (2009). Implications of grain size evolution on the seismic structure of the oceanic upper mantle. Earth and Planetary Science Letters, 282(1-4), 178-189.</p></li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/SeismicVelocity/SeismicVelocity.jl#L341-L368">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../phasediagrams/">« Phase Diagrams</a><a class="docs-footer-nextpage" href="../plotting/">Plotting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 6 June 2022 13:31">Monday 6 June 2022</span>. 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class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Shear heating</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Shear heating</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/shearheating.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Shear-heating"><a class="docs-heading-anchor" href="#Shear-heating">Shear heating</a><a id="Shear-heating-1"></a><a class="docs-heading-anchor-permalink" href="#Shear-heating" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Heat caused by non-recoverable deformation can be specified in </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.ConstantShearheating" href="#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantShearheating(Χ=0.0NoUnits)</code></pre><p>Set the shear heating efficiency [0-1] parameter</p><p class="math-container">\[Χ  = cst\]</p><p>where <span>$\Chi$</span> is the shear heating efficiency [NoUnits]</p><p>Shear heating is computed as</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}(\dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Energy/Shearheating.jl#L22-L36">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">H_s = compute_shearheating(s:&lt;AbstractShearheating, τ, ε, ε_el)</code></pre><p>Computes the shear heating source term</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Energy/Shearheating.jl#L78-L93">source</a></section><section><div><pre><code class="nohighlight hljs">H_s = ComputeShearheating(s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij} \]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Energy/Shearheating.jl#L97-L110">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating!" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_shearheating!(H_s, s:&lt;AbstractShearheating,  τ, ε, ε_el)</code></pre><p>Computes the shear heating source term in-place</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul><p><em>NOTE:</em> The shear heating terms require the full deviatoric stress &amp; strain rate tensors, i.e.:</p><p class="math-container">\[2D: \tau_{ij} = \left(   
+                \begin{matrix}
+                    \tau_{xx} &amp; \tau_{xz} \\
+                    \tau_{zx} &amp; \tau_{zz} 
+                \end{matrix} 
+            \right)\]</p><p>Since <span>$\tau_{zx}=\tau_{xz}$</span>, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used! </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Energy/Shearheating.jl#L114-L141">source</a></section><section><div><pre><code class="nohighlight hljs">compute_shearheating!(H_s, s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term <code>H_s</code> in-place when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij} \]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/Energy/Shearheating.jl#L144-L157">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../radioactiveheating/">« Radioactive heat</a><a class="docs-footer-nextpage" href="../gravity/">Gravity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 6 June 2022 13:31">Monday 6 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul 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class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li class="is-active"><a class="tocitem" href>Zircon Ages</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Zircon Ages</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Zircon Ages</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/zirconages.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Zircon-age-parameterizations"><a class="docs-heading-anchor" href="#Zircon-age-parameterizations">Zircon age parameterizations</a><a id="Zircon-age-parameterizations-1"></a><a class="docs-heading-anchor-permalink" href="#Zircon-age-parameterizations" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Zircons are one of the ways in which we can date the age &amp; activity of magmatic systems.  Here, we provide a computational routine that computes the zircon age distribution from temperature-time paths</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.ZirconAgeData" href="#GeoParams.ZirconAges.ZirconAgeData"><code>GeoParams.ZirconAges.ZirconAgeData</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ZirconAgeData</code></pre><p>Struct that holds default parameters for the calculations</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/ZirconAge/ZirconAges.jl#L26-L30">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>There is one main routine with which you can compute zircon age probability density functions from a range of temperature-ime paths:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.compute_zircon_age_PDF" href="#GeoParams.ZirconAges.compute_zircon_age_PDF"><code>GeoParams.ZirconAges.compute_zircon_age_PDF</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">time_Ma, PDF_zircons, time_Ma_average, PDF_zircon_average, time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, zircon_cumulativePDF  = compute_zircon_age_PDF(time_years_vecs::Vector{Vector}, Tt_paths_Temp_vecs::Vector{Vector}; ZirconData::ZirconAgeData = ZirconAgeData(), bandwidth=bandwidth, n_analyses=300)</code></pre><p>This computes the PDF (probability density function) with zircon age data from Vectors with Tt-paths	</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/ZirconAge/ZirconAges.jl#L295-L300">source</a></section></article><p>This, in turn, calls two other routines:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.compute_zircons_Ttpath" href="#GeoParams.ZirconAges.compute_zircons_Ttpath"><code>GeoParams.ZirconAges.compute_zircons_Ttpath</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, zircon_cumulativePDF  = compute_zircons_Ttpath(time_years::AbstractArray{Float64,1}, Tt_paths_Temp::AbstractArray{Float64,2}; ZirconData::ZirconAgeData)</code></pre><p>This computes the number of zircons produced from a series of temperature-time path&#39;s.  The Tt-paths are stored in a 2D matrix <code>Tt_paths_Temp</code> with rows being the temperature at time <code>time_years</code>.</p><p><strong>Input:</strong></p><ul><li><code>time_years</code> : vector of length <code>nt</code> with the time in years (since the beginning of the simulation) of the points provided</li><li><code>Tt_paths_Temp</code> : array of size <code>(nt,npaths)</code>` with the temperature of every path.</li></ul><p>Output:</p><ul><li><code>prob</code> : a vector that gives the relative probability that a zircon with a given age exists</li><li><code>ages_eruptible</code> : age of eruptble magma</li><li><code>number_zircons</code> : 2D array of size <code>(nt,)</code></li><li><code>T_av_time</code>: vector of size <code>nt</code> that contains the average T of the paths</li><li><code>T_sd_time</code>: vector of size <code>nt</code> that contains the standard deviation of the T of the paths</li><li><code>zircon_cumulativePDF</code>: vector of size <code>nt</code> that contains cumulative probability density of zircon ages [%]</li></ul><p>This routine is based on an R-routine provided as electronic supplement in the paper:</p><ul><li>Weber, G., Caricchi, L., Arce, J.L., Schmitt, A.K., 2020. Determining the current size and state of subvolcanic magma reservoirs. Nat Commun 11, 5477. https://doi.org/10.1038/s41467-020-19084-2</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/ZirconAge/ZirconAges.jl#L93-L115">source</a></section><section><div><pre><code class="nohighlight hljs">time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, zircon_cumulativePDF  = compute_zircons_Ttpath(time_years::Vector{Vector{Float64}}, Tt_paths_Temp::Vector{Vector{Float64}}; ZirconData::ZirconAgeData = ZirconAgeData())</code></pre><p>This accepts Vector{Vector} as input for time and temperature of each Tt-path. Here, the length of the vector can be variable between different points.</p><p>Internally, we interpolate this into a 2D matrix and a longer vector that includes all paths and a single vector with times </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/ZirconAge/ZirconAges.jl#L216-L223">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.zircon_age_PDF" href="#GeoParams.ZirconAges.zircon_age_PDF"><code>GeoParams.ZirconAges.zircon_age_PDF</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">zircon_age_PDF(ages_eruptible::AbstractArray{Float64,1}, number_zircons::AbstractArray{Float64,2}, bandwidth=1e5, n_analyses=300)</code></pre><p>Compute probability density functions for zircon age path&#39;s describes in <code>number_zircons</code> with age <code>ages_eruptible</code> (both computed ). <code>bandwidth</code> is the smoothening window of the resulting curves (in years), whereas <code>n_analyses</code> are the number of analyses done. 	</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/5f18e1f3ec0f346073e5fd720117b4b608c4b9a9/src/ZirconAge/ZirconAges.jl#L261-L267">source</a></section></article><p>We also provide a plotting routine, provided the <code>Plots</code> package is loaded, which produces figures such as: <img src="../assets/img/ZirconAge_PDF.png" alt="subet3"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../TASclassification/">« TAS classification</a><a class="docs-footer-nextpage" href="../phasediagrams/">Phase Diagrams »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 6 June 2022 13:31">Monday 6 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Search · GeoParams.jl</title><script data-outdated-warner src="../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL=".."</script><script 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Guide</span><ul><li><a class="tocitem" href="../man/geounit/">GeoUnit</a></li><li><a class="tocitem" href="../man/nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../man/materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../man/density/">Density</a></li><li><a class="tocitem" href="../man/creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../man/elasticity/">Elasticity</a></li><li><a class="tocitem" href="../man/plasticity/">Plasticity</a></li><li><a class="tocitem" href="../man/heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../man/conductivity/">Conductivity</a></li><li><a class="tocitem" href="../man/latentheat/">Latent heat</a></li><li><a class="tocitem" href="../man/radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../man/shearheating/">Shear heating</a></li><li><a class="tocitem" href="../man/gravity/">Gravity</a></li><li><a class="tocitem" href="../man/melting/">Partial Melting</a></li><li><a class="tocitem" href="../man/TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../man/zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../man/phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../man/seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../man/plotting/">Plotting</a></li><li><a class="tocitem" href="../man/listfunctions/">List of functions</a></li><li><a class="tocitem" href="../man/contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Search</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Search</a></li></ul></nav><div class="docs-right"><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article><p id="documenter-search-info">Loading search...</p><ul id="documenter-search-results"></ul></article><nav class="docs-footer"><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 6 June 2022 13:31">Monday 6 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body><script src="../search_index.js"></script><script src="../assets/search.js"></script></html>
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+var documenterSearchIndex = {"docs":
+[{"location":"man/phasediagrams/#Phase-Diagrams","page":"Phase Diagrams","title":"Phase Diagrams","text":"","category":"section"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"It is possible to employ phase diagrams as lookup tables, which can be used to compute density, melt fraction or seismic properties, for example. ","category":"page"},{"location":"man/phasediagrams/#Perple_X","page":"Phase Diagrams","title":"Perple_X","text":"","category":"section"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"A popular way to compute phase diagrams (pseudosections) for a given (fixed) chemical composition as a function of pressure and temperature is by using Perple_X. Once a stable assemblage is computed, through Gibbs energy minimisation, it allows you to output a large number of properties such as density, melt fraction or seismic velocities.","category":"page"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"Within GeoParams, we can import this diagram (provided it is formatted in the same manner as LaMEM expects Perple_X input to be).","category":"page"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"GeoParams.MaterialParameters.PhaseDiagrams.PerpleX_LaMEM_Diagram\nGeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","category":"page"},{"location":"man/phasediagrams/#GeoParams.PerpleX_LaMEM_Diagram","page":"Phase Diagrams","title":"GeoParams.PerpleX_LaMEM_Diagram","text":"PD_Data = PerpleX_LaMEM_Diagram(fname::String; CharDim = nothing)\n\nReads a precomputed phase diagram in the LaMEM/Perple_X format (which is a phase diagram computed using Perple_X, but formatted in a manner that is readable using LaMEM). The data is stored in the PhaseDiagram_LookupTable structure.\n\nIf the CharDim object is specified, the values of all diagrams will be non-dimensionalized.\n\nExample\n\njulia> PD_Data = PerpleX_LaMEM_Diagram(\"./test_data/Peridotite.in\")\nPerple_X/LaMEM Phase Diagram Lookup Table: \n                      File    :   ./test_data/Peridotite.in\n                      T       :   293.0 - 1573.000039\n                      P       :   1.0e7 - 2.9999999944e9\n                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp\n                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs\n                                  :Vp, :Vs, :VpVs\n\nOnce imported, the properties on the diagram can be interpolated in a simple manner:\n\njulia> PD_Data.Rho(1500,1e7)\n3042.836820256982\n\nThis also works for vectors or arrays:\n\njulia> T = [1500 1800; 1233 1300]\njulia> P = [1e8 1e9; 1e7 1e7]\njulia> rho = PD_Data.Rho.(T,P)\n\n(Note the dot . in front of the bracket while evaluating arrays).\n\nThe fields that are available depend on what is listed in the diagram file.  The units of the fields are automatically evaluated, and employed to non-dimensionalize the parameters if CharDim is specified. \n\nAlgorithm\n\nInternally, we employ linear interpolation, as provided by the Interpolations.jl package. Values outside the range of the diagram are set to the boundary of the diagram. The interpolation object is directly encoded in the PhaseDiagram_LookupTable` object.  \n\n\n\n\n\n","category":"function"},{"location":"man/phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","page":"Phase Diagrams","title":"GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","text":"Contains data of a Phase Diagram that is regularly spaced in P & T\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#MaterialParameters","page":"Material Parameters","title":"MaterialParameters","text":"","category":"section"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"Material properties for a given phase can be set with SetMaterialParams, whereas all properties are  stored in the MaterialParams structure. Information about the material parameter is found at MaterialParamsInfo. This can be employed ","category":"page"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"MaterialParamsInfo\nSetMaterialParams\nMaterialParams","category":"page"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParamsInfo","text":"MaterialParamsInfo\n\nStructure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.\n\nUsually used in combination with param_info(the_parameter_of_interest)\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.SetMaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.SetMaterialParams","text":"SetMaterialParams(; Name::String=\"\", Phase::Int64=1,\n                    Density             =   nothing, \n                    Gravity             =   nothing,\n                    CreepLaws           =   nothing, \n                    Elasticity          =   nothing, \n                    Plasticity          =   nothing, \n                    Conductivity        =   nothing, \n                    HeatCapacity        =   nothing, \n                    RadioactiveHeat     =   nothing,\n                    LatentHeat          =   nothing,\n                    ShearHeat           =   nothing,\n                    Melting             =   nothing,\n                    SeismicVelocity     =   nothing,\n                    CharDim::GeoUnits   =   nothing)\n\nSets material parameters for a given phase. \n\nIf CharDim is specified the input parameters are non-dimensionalized.   Note that if Density is specified, we also set Gravity even if not explicitly listed\n\nExamples\n\nDefine two viscous creep laws & constant density:\n\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\",\n                       Density   = ConstantDensity(),\n                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))\nPhase 1 : Viscous Matrix\n        | [dimensional units]\n        | \n        |-- Density           : Constant density: ρ=2900 kg m⁻³ \n        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  \n        |                       Linear viscosity: η=1.0e21 Pa s\n\nDefine two viscous creep laws & P/T dependent density and nondimensionalize\n\njulia> CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\", Phase=33,\n                              Density   = PT_Density(),\n                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),\n                              CharDim   = CharUnits_GEO)\nPhase 33: Viscous Matrix\n        | [non-dimensional units]\n        | \n        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0 \n        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18 \n        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001  \n        |                       Linear viscosity: η=10000.0 \n\nYou can also create an array that holds several parameters:\n\njulia> MatParam        =   Array{MaterialParams, 1}(undef, 2);\njulia> Phase           =   1;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Upper Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                            Density  = ConstantDensity(ρ=2900kg/m^3));\njulia> Phase           =   2;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Lower Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),\n                            Density  = PT_Density(ρ0=3000kg/m^3));\njulia> MatParam\n2-element Vector{MaterialParams}:\n Phase 1 : Upper Crust\n    | [dimensional units]\n    | \n    |-- Density           : Constant density: ρ=2900 kg m⁻³ \n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  \n    |                       Linear viscosity: η=1.0e23 Pa s \n                            \n Phase 2 : Lower Crust\n    | [dimensional units]\n    | \n    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa \n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹  \n    |                       Linear viscosity: η=1.0e21 Pa s \n\n\n\n\n\n","category":"function"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParams","text":"MaterialParams\n\nStructure that holds all material parameters for a given phase\n\n\n\n\n\n","category":"type"},{"location":"man/contributing/#Contributing","page":"Contributing","title":"Contributing","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"You can contribute for example by adding new creep laws or by adding new constitutive relationships. If you invest a bit of time now, it will save others in the community a lot of time! The simplest way to do this is by cloning the repository, and creating a new branch for your feature. Once you are happy with what you added (and after you added a test to ensure that it will keep working with future changes), create a pull request and we will evaluate & merge it.","category":"page"},{"location":"man/contributing/#Style-Guide","page":"Contributing","title":"Style Guide","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Follow the style of the surrounding text when making changes. When adding new features please try to stick to the following points whenever applicable.","category":"page"},{"location":"man/contributing/#Julia","page":"Contributing","title":"Julia","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"4-space indentation;\nmodules spanning entire files should not be indented, but modules that have surrounding code should;\nno blank lines at the start or end of files;\ndo not manually align syntax such as = or :: over adjacent lines;\nuse function ... end when a method definition contains more than one toplevel expression;\nrelated short-form method definitions don't need a new line between them;\nunrelated or long-form method definitions must have a blank line separating each one;\nsurround all binary operators with whitespace except for ::, ^, and :;\nfiles containing a single module ... end must be named after the module;\nmethod arguments should be ordered based on the amount of usage within the method body;\nmethods extended from other modules must follow their inherited argument order, not the above rule;\nexplicit return should be preferred except in short-form method definitions;\navoid dense expressions where possible e.g. prefer nested ifs over complex nested ?s;\ninclude a trailing , in vectors, tuples, or method calls that span several lines;\ndo not use multiline comments (#= and =#);\nwrap long lines as near to 92 characters as possible, this includes docstrings;\nfollow the standard naming conventions used in Base.","category":"page"},{"location":"man/contributing/#Markdown","page":"Contributing","title":"Markdown","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Use unbalanced # headers, i.e. no # on the right hand side of the header text;\ninclude a single blank line between toplevel blocks;\nunordered lists must use * bullets with two preceding spaces;\ndo not hard wrap lines;\nuse emphasis (*) and bold (**) sparingly;\nalways use fenced code blocks instead of indented blocks;\nfollow the conventions outlined in the Julia documentation page on documentation.","category":"page"},{"location":"man/latentheat/#Latent-heat","page":"Latent heat","title":"Latent heat","text":"","category":"section"},{"location":"man/latentheat/#Methods","page":"Latent heat","title":"Methods","text":"","category":"section"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"Latent heat (of crystallisation) is defined as ","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","category":"page"},{"location":"man/latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","page":"Latent heat","title":"GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","text":"ConstantLatentHeat(Q_L=400kJ/kg)\n\nSet a constant latent heat:\n\n    Q_L  = cst\n\nwhere Q_L is the latent heat [kJkg].\n\n\n\n\n\n","category":"type"},{"location":"man/latentheat/#Computational-routines","page":"Latent heat","title":"Computational routines","text":"","category":"section"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"To compute, use this:","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"GeoParams.MaterialParameters.LatentHeat.compute_latent_heat","category":"page"},{"location":"man/zirconages/#Zircon-age-parameterizations","page":"Zircon Ages","title":"Zircon age parameterizations","text":"","category":"section"},{"location":"man/zirconages/#Methods","page":"Zircon Ages","title":"Methods","text":"","category":"section"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"Zircons are one of the ways in which we can date the age & activity of magmatic systems.  Here, we provide a computational routine that computes the zircon age distribution from temperature-time paths","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.ZirconAgeData","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.ZirconAgeData","page":"Zircon Ages","title":"GeoParams.ZirconAges.ZirconAgeData","text":"ZirconAgeData\n\nStruct that holds default parameters for the calculations\n\n\n\n\n\n","category":"type"},{"location":"man/zirconages/#Computational-routines","page":"Zircon Ages","title":"Computational routines","text":"","category":"section"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"There is one main routine with which you can compute zircon age probability density functions from a range of temperature-ime paths:","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.compute_zircon_age_PDF","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.compute_zircon_age_PDF","page":"Zircon Ages","title":"GeoParams.ZirconAges.compute_zircon_age_PDF","text":"time_Ma, PDF_zircons, time_Ma_average, PDF_zircon_average, time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, zircon_cumulativePDF  = compute_zircon_age_PDF(time_years_vecs::Vector{Vector}, Tt_paths_Temp_vecs::Vector{Vector}; ZirconData::ZirconAgeData = ZirconAgeData(), bandwidth=bandwidth, n_analyses=300)\n\nThis computes the PDF (probability density function) with zircon age data from Vectors with Tt-paths\t\n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"This, in turn, calls two other routines:","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.compute_zircons_Ttpath\nGeoParams.zircon_age_PDF","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.compute_zircons_Ttpath","page":"Zircon Ages","title":"GeoParams.ZirconAges.compute_zircons_Ttpath","text":"time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, zircon_cumulativePDF  = compute_zircons_Ttpath(time_years::AbstractArray{Float64,1}, Tt_paths_Temp::AbstractArray{Float64,2}; ZirconData::ZirconAgeData)\n\nThis computes the number of zircons produced from a series of temperature-time path's.  The Tt-paths are stored in a 2D matrix Tt_paths_Temp with rows being the temperature at time time_years.\n\nInput:\n\ntime_years : vector of length nt with the time in years (since the beginning of the simulation) of the points provided\nTt_paths_Temp : array of size (nt,npaths)` with the temperature of every path.\n\nOutput:\n\nprob : a vector that gives the relative probability that a zircon with a given age exists\nages_eruptible : age of eruptble magma\nnumber_zircons : 2D array of size (nt,)\nT_av_time: vector of size nt that contains the average T of the paths\nT_sd_time: vector of size nt that contains the standard deviation of the T of the paths\nzircon_cumulativePDF: vector of size nt that contains cumulative probability density of zircon ages [%]\n\nThis routine is based on an R-routine provided as electronic supplement in the paper:\n\nWeber, G., Caricchi, L., Arce, J.L., Schmitt, A.K., 2020. Determining the current size and state of subvolcanic magma reservoirs. Nat Commun 11, 5477. https://doi.org/10.1038/s41467-020-19084-2\n\n\n\n\n\ntime_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, zircon_cumulativePDF  = compute_zircons_Ttpath(time_years::Vector{Vector{Float64}}, Tt_paths_Temp::Vector{Vector{Float64}}; ZirconData::ZirconAgeData = ZirconAgeData())\n\nThis accepts Vector{Vector} as input for time and temperature of each Tt-path. Here, the length of the vector can be variable between different points.\n\nInternally, we interpolate this into a 2D matrix and a longer vector that includes all paths and a single vector with times \n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/#GeoParams.ZirconAges.zircon_age_PDF","page":"Zircon Ages","title":"GeoParams.ZirconAges.zircon_age_PDF","text":"zircon_age_PDF(ages_eruptible::AbstractArray{Float64,1}, number_zircons::AbstractArray{Float64,2}, bandwidth=1e5, n_analyses=300)\n\nCompute probability density functions for zircon age path's describes in number_zircons with age ages_eruptible (both computed ). bandwidth is the smoothening window of the resulting curves (in years), whereas n_analyses are the number of analyses done. \t\n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"We also provide a plotting routine, provided the Plots package is loaded, which produces figures such as: (Image: subet3)","category":"page"},{"location":"man/TASclassification/#TAS-rock-classification","page":"TAS classification","title":"TAS rock classification","text":"","category":"section"},{"location":"man/TASclassification/#Methods","page":"TAS classification","title":"Methods","text":"","category":"section"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"When doing coupled petrological-geodynamic modelling, the evolution of the composition of the magma is more easily understood when a rock type is given. This routine is an implementation of the TAS diagram (Total Alkali (TA) vs Silica (S)) from Le Maitre et al., 2002.","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.TASclassificationData","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.TASclassificationData","page":"TAS classification","title":"GeoParams.TASclassification.TASclassificationData","text":"TASclassificationData\n\nStruct that holds default parameters for the TAS diagram\n\n\n\n\n\n","category":"type"},{"location":"man/TASclassification/#Computational-routine","page":"TAS classification","title":"Computational routine","text":"","category":"section"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"There is one routine with which you can retrieve the index of the TAS rock-type. The routine receives as an input a compositional vector [SiO2,Na2O+K2O] in wt% and sends back an index [1-15].","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.computeTASclassification","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.computeTASclassification","page":"TAS classification","title":"GeoParams.TASclassification.computeTASclassification","text":"classIndex computeTASclassification(chemComp::AbstractArray{_T,N}, ClassTASdata::TASclassificationData)\n\nThis compute the classification of the igneous rock using TAS diagram (Total Alkali (TA) vs Silica (S)).\n\nInput:\n\nchemComp : vector rock composition in oxide wt%\n\nOutput:\n\nclassIndex : an integer [0-14] corresponding to a TAS field (TASclassificationData.litho[classIndex])\n\nThis routine was developed based the TAS classification of Le Maitre et al., 2002\n\n\n\n\n\n","category":"function"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"Using the index of the rock-type you can get the name of the corresponding volcanic rock using the following routine.","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.retrieveTASrockType","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.retrieveTASrockType","page":"TAS classification","title":"GeoParams.TASclassification.retrieveTASrockType","text":"retrieveTASrockType(index::Int64; ClassTASdata::TASclassificationData = TASclassificationData())\n\nThis retrieves the name of the volcanic rock-type using the computed index\n\nInput:\n\nindex : integer [1-15]\n\nOutput:\n\nlitho : a string of the name of corresponding volcanic rock\n\n\n\n\n\n","category":"function"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"We also provide a plotting routine, provided the Plots package is loaded, which produces figures such as: (Image: subet3)","category":"page"},{"location":"man/radioactiveheating/#Radioactive-heat","page":"Radioactive heat","title":"Radioactive heat","text":"","category":"section"},{"location":"man/radioactiveheating/#Methods","page":"Radioactive heat","title":"Methods","text":"","category":"section"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"Radioactive heat sources are defined as ","category":"page"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat\nGeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat\n","category":"page"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","text":"ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)\n\nSet a constant radioactive heat:\n\n    H_r  = cst\n\nwhere H_r is the radioactive heat source [Wattm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat","text":"ExpDepthDependent(H_0=1e-6Watt/m^3, h_r=10e3m, z_0=0m)\n\nSets an exponential depth-dependent radioactive \n\n    H_r  = H_0 exp left( - (z - z_0) over h_r right)\n\nwhere H_0 is the radioactive heat source [Wattm^3] at z=z_0 which decays with depth over a characteristic distance h_r.\n\n\n\n\n\n","category":"type"},{"location":"man/radioactiveheating/#Computational-routines","page":"Radioactive heat","title":"Computational routines","text":"","category":"section"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"To compute, use this:","category":"page"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat\nGeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat!","category":"page"},{"location":"man/listfunctions/#List-of-all-functions","page":"List of functions","title":"List of all functions","text":"","category":"section"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity","page":"Seismic Velocity","title":"Seismic velocity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"Seismic velocity can specified in a number of ways","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","text":"ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)\n\nSet a constant seismic P and S-wave velocity:\n\n    V_p = cst\n\n    V_s = cst\n\nwhere V_p V_s are the P-wave and S-wave velocities [kms].\n\n\n\n\n\n","category":"type"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.","category":"page"},{"location":"man/seismicvelocity/#Computational-routines","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To evaluate seismic velocity within a user routine, use this:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.compute_swave_velocity!\nGeoParams.compute_pwave_velocity!\nGeoParams.compute_pwave_velocity\nGeoParams.compute_swave_velocity","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity!","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity!","text":"compute_swave_velocity!(Vs_array::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, s::PhaseDiagram_LookupTable)\n\nIn-place computation of S-wave velocity as a function of T,P, in case we are using a lookup table.    \n\n\n\n\n\ncompute_swave_velocity!(Vs_array::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of S-wave velocity Vp for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n\n\n\n\ncompute_swave_velocity!(Vs_array::AbstractArray{<:AbstractFloat,N}, PhaseRatios::AbstractArray{<:AbstractFloat, M}, P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of seismic S-wave velocity Vs for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity!","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity!","text":"compute_pwave_velocity!(Vp_array::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, s::PhaseDiagram_LookupTable)\n\nIn-place computation of P-wave velocity as a function of T,P, in case we are using a lookup table.    \n\n\n\n\n\ncompute_pwave_velocity!(Vp_array::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of P-wave velocity Vp for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n\n\n\n\ncompute_pwave_velocity!(Vp_array::AbstractArray{<:AbstractFloat,N}, PhaseRatios::AbstractArray{<:AbstractFloat, M}, P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of seismic P-wave velocity Vp for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity","text":"compute_pwave_velocity(P,T, s::PhaseDiagram_LookupTable)\n\nInterpolates Vp as a function of T,P   \n\n\n\n\n\n","category":"function"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity","text":"compute_swave_velocity(P,T, s::PhaseDiagram_LookupTable)\n\nInterpolates Vs as a function of T,P   \n\n\n\n\n\n","category":"function"},{"location":"man/seismicvelocity/#Seismic-velocity-correction-for-partial-melt","page":"Seismic Velocity","title":"Seismic velocity correction for partial melt","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-2","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"The routine uses the reduction formulation of Clark et al., (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-2","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute melt-content based correction for seismic waves velocities, you can use:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.melt_correction","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.melt_correction","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.melt_correction","text":"    Vp_cor,Vs_cor = melt_correction(  Kb_L, Kb_S, Ks_S, ρL, ρS, Vp0, Vs0, ϕ, α)\n\nCorrects P- and S-wave velocities if the rock is partially molten. \n\nInput:\n\nKb_L: adiabatic bulk modulus of melt\nKb_S: adiabatic bulk modulus of the solid phase\nKs_S: shear modulus of the solid phase\nρL  : density of the melt\nρS  : density of the solid phase\nVp0 : initial P-wave velocitiy of the solid phase\nVs0 : initial S-wave velocitiy of the solid phase\nϕ   : melt volume fraction\nα   : contiguity coefficient defining the geometry of the solid framework (contiguity)         0.0 (layered melt distributed) < 0.1 (grain boundary melt) < 1.0 (melt in separated bubble pockets)\n\nOutput:\n\nVp_cor,Vs_cor : corrected P-wave and S-wave velocities for melt fraction\n\nThe routine uses the reduction formulation of Clark & Lesher, (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.\n\nReferences:\n\nTakei (1998) Constitutive mechanical relations of solid-liquid composites in terms of grain-boundary contiguity, Journal of Geophysical Research: Solid Earth, Vol(103)(B8), 18183–18203\nClark & Lesher (2017) Elastic properties of silicate melts: Implications for low velocity zones at the lithosphere-asthenosphere boundary. Science Advances, Vol 3 (12), e1701312\n\n\n\n\n\n","category":"function"},{"location":"man/seismicvelocity/#Seismic-velocity-correction-for-anelasticity","page":"Seismic Velocity","title":"Seismic velocity correction for anelasticity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-3","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"The routine uses the reduction formulation of karato (1993), using the quality factor formulation from Behn et al. (2009)","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-3","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute a correction of S-wave velocity for anelasticity, use this:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.anelastic_correction","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction","text":"    Vs_anel = anelastic_correction(water::Int64, Vs0::Float64,P::Float64,T::Float64)\n\nThis routine computes a correction of S-wave velocity for anelasticity\n\nInput:\n\nwater: water flag, 0 = dry; 1 = dampened; 2 = water saturated \nVs0  : S-wave velocitiy of the solid phase (with or without melt correction)\nP    : pressure given in kbar\nT    : temperature given in °C\n\nOutput:\n\nVs_anel : corrected S-wave velocity for anelasticity\n\nThe routine uses the reduction formulation of Karato (1993), using the quality factor formulation from Behn et al. (2009)\n\nReferences:\n\nKarato, S. I. (1993). Importance of anelasticity in the interpretation of seismic tomography. Geophysical research letters, 20(15), 1623-1626.\nBehn, M. D., Hirth, G., & Elsenbeck II, J. R. (2009). Implications of grain size evolution on the seismic structure of the oceanic upper mantle. Earth and Planetary Science Letters, 282(1-4), 178-189.\n\n\n\n\n\n","category":"function"},{"location":"man/plasticity/#Plasticity","page":"Plasticity","title":"Plasticity","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"Plasticity is a non;linear rheology bthat is actrivated once stresses exceed a certain yield criteria.","category":"page"},{"location":"man/plasticity/#Implemented-laws","page":"Plasticity","title":"Implemented  laws","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"The following plastic law are implemented:","category":"page"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"GeoParams.MaterialParameters.Plasticity.DruckerPrager","category":"page"},{"location":"man/plasticity/#GeoParams.MaterialParameters.Plasticity.DruckerPrager","page":"Plasticity","title":"GeoParams.MaterialParameters.Plasticity.DruckerPrager","text":"DruckerPrager(ϕ=30, Ψ=0, C=10e6Pa)\n\nSets parameters for Drucker-Prager plasticity, where the yield stress sigma_y is computed by\n\n    sigma_y = (P-P_f)tan(ϕ) + C\n\nwith phi being the friction angle (in degrees), C cohesion, P dynamic pressure and P_f the fluid pressure (both positive under compression).  \n\nYielding occurs when the second invariant of the deviatoric stress tensor, tau_II=(05tau_ijtau_ij)^05 touches the yield stress.  This can be computed with the yield function F and the plastic flow potential Q, which are respectively given by \n\n    F = tau_II - cos(ϕ)C - sin(ϕ)(P-P_f)\n\n    Q = tau_II - sin(Ψ)(P-P_f) \n\nHere, Ψ is the dilation angle, which must be zero for incompressible setups.\n\nPlasticity is activated when F(tau_II^trial) (the yield function computed with a trial stress) is >0. In that case, plastic strainrate dotvarepsilon^pl_ij is computed by:\n\n    dotvarepsilon^pl_ij =dotlambda partial Q over partial sigma_ij\n\nwhere dotlambda is a (scalar) that is nonzero and chosen such that the resuling stress gives F(tau_II^final)=0, and sigma_ij=-P + tau_ij denotes the total stress tensor.   \n\n\n\n\n\n","category":"type"},{"location":"man/plasticity/#Computational-routines","page":"Plasticity","title":"Computational routines","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"Once a plastic rheology is defined, we can use the following routines to perform computations within the solvers","category":"page"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"GeoParams.MaterialParameters.Plasticity.compute_yieldfunction\nGeoParams.MaterialParameters.Plasticity.compute_yieldfunction!","category":"page"},{"location":"man/plasticity/#GeoParams.MaterialParameters.Plasticity.compute_yieldfunction","page":"Plasticity","title":"GeoParams.MaterialParameters.Plasticity.compute_yieldfunction","text":"compute_yieldfunction(s::DruckerPrager; P, τII_old, Pf, kwargs...)\n\nComputes the plastic yield function F for a given second invariant of the deviatoric stress tensor τII,  P the pressure, and Pf fluid pressure.\n\n\n\n\n\n","category":"function"},{"location":"man/plasticity/#GeoParams.MaterialParameters.Plasticity.compute_yieldfunction!","page":"Plasticity","title":"GeoParams.MaterialParameters.Plasticity.compute_yieldfunction!","text":"compute_yieldfunction!(F::AbstractArray{_T,N}, s::DruckerPrager{_T}; P::AbstractArray{_T,N}, τII::AbstractArray{_T,N}, Pf=zero(P)::AbstractArray{_T,N}, kwargs...)\n\nComputes the plastic yield function F for Drucker-Prager plasticity in an in-place manner. Required input arrays are pressure P and the second invariant of the deviatoric stress tensor τII at every point.  You can optionally provide an array with fluid pressure Pf as well. \n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#Plotting","page":"Plotting","title":"Plotting","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"We provide a number of plotting routines. Note that these plotting routines only become available once the Plots package is loaded.","category":"page"},{"location":"man/plotting/#Plot-CreepLaws","page":"Plotting","title":"Plot CreepLaws","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"GeoParams.PlotStressStrainrate_CreepLaw\nGeoParams.PlotHeatCapacity\nGeoParams.PlotConductivity\nGeoParams.PlotMeltFraction\nGeoParams.PlotPhaseDiagram","category":"page"},{"location":"man/plotting/#GeoParams.PlotStressStrainrate_CreepLaw","page":"Plotting","title":"GeoParams.PlotStressStrainrate_CreepLaw","text":"PlotStressStrainrate_CreepLaw(x::AbstractCreepLaw; p::CreepLawParams=nothing, Strainrate=(1e-18,1e-12), CreatePlot::Bool=false)\n\nPlots deviatoric stress versus deviatoric strain rate for a single creeplaw.      Note: if you want to create plots or use the CreatePlot=true option you need to install the Plots.jl package in julia     which is not added as a dependency here (as it is a rather large dependency).\n\nExample 1\n\njulia> x=LinearViscous()\nLinear viscosity: η=1.0e20 Pa s\njulia> Tau_II, Eps_II,  = PlotStressStrainrate_CreepLaw(x);\n\nNext you can plot this with\n\njulia> using Plots;\njulia> plot(ustrip(Eps_II),ustrip(Tau_II), xaxis=:log, yaxis=:log,xlabel=\"strain rate [1/s]\",ylabel=\"Dev. Stress [MPa]\")\n\nNote that ustrip removes the units of the arrays, as many of the plotting packages don't know how to deal with that.\n\nYou could also have done:\n\njulia> using Plots;\njulia> Tau_II, Eps_II, pl = PlotStressStrainrate_CreepLaw(x,CreatePlot=true);\n\nwhich will generate the following plot (Image: subet1)\n\nThe plot can be customized as \n\njulia> plot(pl, title=\"Linear viscosity\", linecolor=:red)\n\nSee the Plots.jl package for more options.\n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#GeoParams.PlotHeatCapacity","page":"Plotting","title":"GeoParams.PlotHeatCapacity","text":"T,Cp,plt = PlotHeatCapacity(cp::AbstractHeatCapacity; T=nothing, plt=nothing, lbl=nothing)\n\nCreates a plot of temperature T vs. heat capacity, as specified in cp (which can be temperature-dependent).\n\nOptional parameters\n\nT: temperature range\nplt: a previously generated plotting object\nlbl: label of the curve\n\nExample\n\njulia> cp = T_HeatCapacity_Whittacker()\njulia> T,Cp,plt = PlotHeatCapacity(cp)\n\nyou can now save the figure to disk with:\n\njulia> using Plots\njulia> savefig(plt,\"Tdependent_heatcapacity.png\")\n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#GeoParams.PlotConductivity","page":"Plotting","title":"GeoParams.PlotConductivity","text":"T,Kk,plt = PlotConductivity(cp::AbstractConductivity; T=nothing, plt=nothing, lbl=nothing)\n\nCreates a plot of temperature T vs. thermal conductivity, as specified in k (which can be temperature-dependent).\n\nOptional parameters\n\nT: temperature range\nplt: a previously generated plotting object\nlbl: label of the curve\n\nExample\n\njulia> k = T_Conductivity_Whittacker()\njulia> T,KK,plt = PlotConductivity(k)\n\nyou can now save the figure to disk with:\n\njulia> using Plots\njulia> savefig(plt,\"Tdependent_conductivity.png\")\n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#GeoParams.PlotPhaseDiagram","page":"Plotting","title":"GeoParams.PlotPhaseDiagram","text":"plt, data, Tvec, Pvec = PlotPhaseDiagram(p::PhaseDiagram_LookupTable; fieldname::Symbol, Tvec=nothing, Pvec=nothing)\n\nPlots a phase diagram as a function of T (x-axis) and P (y-axis). We either use the default ranges of the diagram, or you can specify the temperature and pressure ranges (while specifying units). The return arguments are the plotting object plt (so you can modify properties) as well as the data that is being plotted\n\nExample\n\njulia> PD_data =  Read_LaMEM_Perple_X_Diagram(\"Peridotite.in\")\nPerple_X/LaMEM Phase Diagram Lookup Table: \n                      File    :   Peridotite.in\n                      T       :   293.0 - 1573.000039\n                      P       :   1.0e7 - 2.9999999944e9\n                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp\n                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs\n                                  :Vp, :Vs, :VpVs, :cpxFrac\njulia> PlotPhaseDiagram(PD_data,:meltFrac, Tvec=(100:1:1400).*C, Pvec=(.1:.1:30).*kbar )\n\nThis will generate the following plot (Image: subet2)\n\nYou can also use the default pressure/temperature ranges in the diagrams:\n\njulia> PlotPhaseDiagram(PD_data,:Rho)\n\n\n\n\n\n","category":"function"},{"location":"man/geounit/#GeoUnit","page":"GeoUnit","title":"GeoUnit","text":"","category":"section"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Most parameters have physical units (100km, 9.81 ms⁻²). Yet, within numerical solvers it is usually not a good idea to compute with the actual SI units as they (at least in geosciences) tend to result in very large/small numbers, which can cause in roundoff errors.  Therefore, we usually convert the dimensional units into non-dimensional ones befeore starting computations. The results can than be converted back to more convenient units for us when we generate the output (plots, for example).","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"This requires a wauy to store the dimensions of a parameter, but also, once they are made nondimensional, the original units (otherwise we can't convert them back to dimensional values).","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"For that reason, we use the GeoUnit structure, defined as ","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"struct GeoUnit{T,U}\n    val          :: T\n    unit         :: U\n    isdimensional:: Bool\nend","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"You can define a GeoUnit as:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> a = GeoUnit(100km)\nGeoUnit{dimensional, km}, \n100.0\njulia> b=GeoUnit(100s)\nGeoUnit{dimensional, s}, \n100.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Dividing the two gives the expected result","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> c=a/b\nGeoUnit{dimensional, km s⁻¹·⁰}, \n1.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Can also be a vector:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> T = GeoUnit(100K:10.0K:1000K)\nGeoUnit{dimensional, K}, \n100.0:10.0:1000.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"The numerical value is obtained with:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> NumValue(c)\n1.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"It's unit with","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> Unit(c)\nkm s⁻¹·⁰","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"and the value with unit with","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> Value(c)\n1.0 km s⁻¹·⁰","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"If you multiply or divide a GeoUnit with a normal number, we assume that you are no longer interested in the units and you'll get a Float64:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> c*100\n100.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"The value of the GeoUnit struct becomes clear once we non-dimensionalize it (as explained in more detail in a separate page). For that, first specify which characteristic values you want to use for non-dimensionalisation: ","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> CharDim = GEO_units(length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas);","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Let's define a stress:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> σ=GeoUnit(10MPa)\nGeoUnit{dimensional, MPa}, \n10.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"And transfer it to nondimensional units:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> σ_nd = nondimensionalize(σ,CharDim)\nGeoUnit{nondimensional, MPa}, \n0.9999999999999998","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Instead of 1e7 Pa, we now have 1.0; yet at the same time we know that the original unit of σ_nd was in MPa, which allows to transfer it back to dimensional units:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> dimensionalize(σ_nd,CharDim)\nGeoUnit{dimensional, MPa}, \n10.0","category":"page"},{"location":"man/creeplaws/#CreepLaws","page":"Creep laws","title":"CreepLaws","text":"","category":"section"},{"location":"man/creeplaws/#Implemented-creep-laws","page":"Creep laws","title":"Implemented creep laws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"The following viscous creep laws are implemented:","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"GeoParams.MaterialParameters.CreepLaw.LinearViscous\nGeoParams.MaterialParameters.CreepLaw.PowerlawViscous\nGeoParams.MaterialParameters.CreepLaw.DislocationCreep\nGeoParams.MaterialParameters.CreepLaw.SetDislocationCreep","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.CreepLaw.LinearViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.CreepLaw.LinearViscous","text":"LinearViscous(η=1e20Pa*s)\n\nDefines a linear viscous creeplaw \n\nThe (isotopic) linear viscous rheology is given by  \n\n    tau_ij = 2 eta dotvarepsilon_ij \n\nor\n\n    dotvarepsilon_ij  = tau_ij  over 2 eta \n\nwhere eta_0 is the reference viscosity [Pa*s] at reference strain rate dotvarepsilon_0[1/s], and n the power law exponent []. \n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.CreepLaw.PowerlawViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.CreepLaw.PowerlawViscous","text":"PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)\n\nDefines a power law viscous creeplaw as: \n\n    tau_ij^n  = 2 eta_0 left( dotvarepsilon_ij over dotvarepsilon_0 right)\n\nwhere eta is the effective viscosity [Pa*s].\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.CreepLaw.DislocationCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.CreepLaw.DislocationCreep","text":"DislocationCreep(n = 1.0NoUnits, r = 0.00.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )\n\nDefines the flow law parameter of a dislocation creep law  The (isotropic) dislocation creep law, as used by experimtalists, is given by  \n\n     dotgamma = A sigma_mathrmd^n f_mathrmH2O^r exp(-fracE+PVRT)\n\nwhere n is the power law exponent,   r is the exponent of fugacity dependence,  A is a pre-exponential factor MPa^(n+r),   E is the activation energy [kJ/mol], V is the activation volume [m^3/mol]. dotgamma is the ordinary strain rate [1/s],  and sigma_mathrmd is the differential stress which are converted into second invariants using the apparatus type that can be either AxialCompression, SimpleShear or Invariant. If the flow law paramters are already given as a function of second invariants, choose apparatus = \"Invariant\"\n\njulia> x2      =   DislocationCreep(n=3)\nDislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.CreepLaw.SetDislocationCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.CreepLaw.SetDislocationCreep","text":"SetDislocationCreep[\"Name of Dislocation Creep\"]\n\nThis is a dictionary with pre-defined creep laws    \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#Computational-routines-for-creep-laws","page":"Creep laws","title":"Computational routines for creep laws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"Once a creep rheology is defined, we can use the following routines to perform computations within the solvers","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"CreepLawVariables\nGeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII\nGeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII","page":"Creep laws","title":"GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII","text":"computeCreepLaw_EpsII(TauII, s:<AbstractCreepLaw, p::CreepLawVariables)\n\nReturns the strainrate invariant dotvarepsilon_II for a given deviatoric stress  invariant tau_II for any of the viscous creep laws implemented. p is a struct that can hold various parameters (such as P, T) that the creep law may need for the calculations \n\n    dotvarepsilon_II   = f( tau_II ) \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII","page":"Creep laws","title":"GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII","text":"computeCreepLaw_TauII(EpsII, s:<AbstractCreepLaw, p::CreepLawVariables)\n\nReturns the deviatoric stress invariant tau_II for a given strain rate   invariant dotvarepsilon_II for any of the viscous creep laws implemented. p is a struct that can hold various parameters (such as P, T) that the creep law may need for the calculations \n\n    tau_II  = f( dotvarepsilon_II ) \n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#Heat-capacity","page":"Heat Capacity","title":"Heat capacity","text":"","category":"section"},{"location":"man/heatcapacity/#Methods","page":"Heat Capacity","title":"Methods","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"Heat capacity is defined as ","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity\nGeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","text":"ConstantHeatCapacity(cp=1050J/mol/kg)\n\nSet a constant heat capacity:\n\n    cp  = cst\n\nwhere cp is the thermal heat capacity [JkgK].\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","text":"T_HeatCapacity_Whittington()\n\nSets a temperature-dependent heat capacity following the parameterization of Whittington et al. (2009), Nature:\n\n    Cp = (a + b T - cT^2)m \n\nwhere Cp is the heat capacity [JkgK], and abc are parameters that dependent on the temperature T:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nmolmass =   0.22178kg/mol \n\nNote that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than JmolK as in eq.3/4 of the paper)\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#Computational-routines","page":"Heat Capacity","title":"Computational routines","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"To compute, use this:","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity\nGeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","text":"Cp = compute_heatcapacity(s:<AbstractHeatCapacity, P, T)\n\nReturns the heat capacity Cp at any temperature T and pressure P using any of the heat capacity laws implemented.\n\nCurrently available:\n\nConstantHeatCapacity\nT_HeatCapacity_Whittington\n\nExample\n\nUsing dimensional units\n\njulia> T  = (250:100:1250)*K;\njulia> cp = T_HeatCapacity_Whittington()\njulia> Cp = ComputeHeatCapacity(0,T,cp)\n11-element Vector{Unitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:\n  635.4269997294616 J kg⁻¹ K⁻¹\n  850.7470171764261 J kg⁻¹ K⁻¹\n  962.0959598489883 J kg⁻¹ K⁻¹\n 1037.5420433770641 J kg⁻¹ K⁻¹\n 1097.3517921966488 J kg⁻¹ K⁻¹\n 1149.2745563671706 J kg⁻¹ K⁻¹\n 1157.7915050948404 J kg⁻¹ K⁻¹\n 1172.3554874197264 J kg⁻¹ K⁻¹\n 1186.9194697445964 J kg⁻¹ K⁻¹\n  1201.483452069455 J kg⁻¹ K⁻¹\n 1216.0474343943067 J kg⁻¹ K⁻¹\n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","text":"compute_heatcapacity!(cp_array::AbstractArray{_T, N},s::T_HeatCapacity_Whittington{_T}, T::_T=zero(_T), P::_T=zero(_T)) where {_T,N}\n\nComputes T-dependent heat capacity in-place    \n\n\n\n\n\ncompute_heatcapacity!(Cp::AbstractArray{_T, N}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct, 1}, PhaseRatios::AbstractArray{_T, M}, P::AbstractArray{_T, N},T::AbstractArray{_T, N})\n\nIn-place computation of heat capacity Cp for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#Melting-Parameterizations","page":"Partial Melting","title":"Melting Parameterizations","text":"","category":"section"},{"location":"man/melting/#Methods","page":"Partial Melting","title":"Methods","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"A number of melting parameterisations are implemented, which can be set with:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.MeltingParam_Caricchi\nGeoParams.MeltingParam.MeltingParam_5thOrder\nGeoParams.MeltingParam.MeltingParam_4thOrder\nGeoParams.MeltingParam.MeltingParam_Quadratic\nGeoParams.MeltingParam.MeltingParam_Assimilation\nGeoParams.MeltingParam.SmoothMelting","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Caricchi","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Caricchi","text":"MeltingParam_Caricchi()\n\nImplements the T-dependent melting parameterisation used by Caricchi, Simpson et al. (as for example described in Simpson) \n\n    theta = (a - (T + c)) over b \n\n    phi_melt = 10 over (10 + e^theta)\n\nNote that T is in Kelvin. As default parameters we employ:\n\nb=23K  a=800K  c=27315K\n\nWhich gives a reasonable fit to experimental data of granodioritic composition (Piwinskii and Wyllie, 1968):\n\n(Image: MeltParam_Carrichi)\n\nReferences\n\nSimpson G. (2017) Practical finite element modelling in Earth Sciences Using MATLAB.\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_5thOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_5thOrder","text":"MeltingParam_5thOrder(a,b,c,d,e,f,T_s,T_l)\n\nUses a 5th order polynomial to describe the melt fraction phi between solidus temperature T_s and liquidus temperature T_l\n\n    phi = a T^5 + b T^4 + c T^3 + d T^2 + e T + f  textrm   for    T_s  T  T_l\n\n    phi = 1  textrm   if    TT_l\n\n    phi = 0  textrm   if    TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_5thOrder)\n\nThe default values are for a composite liquid-line-of-descent:\n\nthe upper part is for Andesite from: (Blatter, D. L. & Carmichael, I. S. (2001) Hydrous phase equilibria of a Mexican highsilica andesite: a candidate for a mantle origin? Geochim. Cosmochim. Acta 65, 4043–4065\nthe lower part is extrapolated to the granitic minimum using the Marxer & Ulmer LLD for Andesite (Marxer, F. & Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. Contributions Mineral. Petrol. 174, 84)\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_4thOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_4thOrder","text":"MeltingParam_4thOrder(b,c,d,e,f,T_s,T_l)\n\nUses a 4th order polynomial to describe the melt fraction phi between solidus temperature T_s and liquidus temperature T_l\n\n    phi = b T^4 + c T^3 + d T^2 + e T + f  textrm   for    T_s  T  T_l\n\n    phi = 1 textrm   if    TT_l\n\n    phi = 0  textrm   if    TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_4thOrder)\n\nThe default values are for Tonalite experiments from Marxer and Ulmer (2019):\n\nMarxer, F. & Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. Contributions Mineral. Petrol. 174, 84\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Quadratic","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Quadratic","text":"MeltingParam_Quadratic(T_s,T_l)\n\nQuadratic melt fraction parameterisation where melt fraction phi depends only on solidus (T_s) and liquidus (T_l) temperature:\n\n    phi = 10 - left( T_l - T over T_l - T_s right)^2\n\n    phi = 10 textrm if  TT_l \n\n    phi = 00 textrm if  TT_s \n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_Quadratic)\n\nThis was used, among others, in Tierney et al. (2016) Geology\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Assimilation","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Assimilation","text":"MeltingParam_Assimilation(T_s,T_l,a)\n\nMelt fraction parameterisation that takes the assimilation of crustal host rocks into account, as used by Tierney et al. (2016) based upon a parameterisation of Spera and Bohrson (2001)\n\nHere, the fraction of molten and assimilated host rocks phi depends on the solidus (T_s) and liquidus (T_l) temperatures of the rocks, as well as on a parameter a=0005\n\n    X = left( T - T_s over T_l - T_s right)\n\n    phi = a cdot left( exp^2ln(100)X - 10 right) textrm if  X  05\n\n    phi = 1- a cdot exp^2ln(100)(1-X)  textrm if  X  05\n\n    phi = 10 textrm if  TT_l \n\n    phi = 00 textrm if  TT_s \n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_Assimilation)\n\nThis was used, among others, in Tierney et al. (2016), who employed as default parameters:\n\n   T_s=97315 T_l=117315 a=0005\n\nReferences\n\nSpera, F.J., and Bohrson, W.A., 2001, Energy-Constrained Open-System Magmatic Processes I: General Model and Energy-Constrained Assimilation and Fractional Crystallization (EC- AFC) Formulation: Journal of Petrology, v. 42, p. 999–1018.\nTierney, C.R., Schmitt, A.K., Lovera, O.M., de Silva, S.L., 2016. Voluminous plutonism during volcanic quiescence revealed by thermochemical modeling of zircon. Geology 44, 683–686. https://doi.org/10.1130/G37968.1\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.SmoothMelting","page":"Partial Melting","title":"GeoParams.MeltingParam.SmoothMelting","text":"SmoothMelting(; p=MeltingParam_4thOrder(), k_sol=0.2/K,  k_liq=0.2/K)\n\nThis smoothens the melting parameterisation p around the solidus T_sol and liquidus T_liq using a smoothened Heaviside step functions for the solidus:\n\n    H_sol =  10 over  1 + exp( -2 k_sol (T - T_sol - 2 over k_sol) )  \n\nand liquidus:        \n\n    H_liq =  10 - 10 over  1 + exp( -2 k_liq (T - T_liq + 2 over k_liq) )  \n\nThe resulting melt fraction phi is computed from the original melt fraction phi_0 (computed using one of the methods above) as:\n\n    phi =  phi_0 H_sol H_liq + 10 - H_liq\n\nThe width of the smoothening zones is controlled by k_sol k_liq (larger values = sharper boundary).\n\nThis is important, as jumps in the derivative dϕdT can cause numerical instabilities in latent heat computations, which is prevented with this smoothening.\n\nExample\n\nLet's consider a 4th order parameterisation:\n\njulia> using GeoParams, Plots\njulia> p = MeltingParam_4thOrder();\njulia> T= collect(650.0:1:1050.) .+ 273.15;\njulia> T,phi,dϕdT =  PlotMeltFraction(p,T=T);\n\nThe same but with smoothening:\n\njulia> p_s = SmoothMelting(p=MeltingParam_4thOrder(), k_liq=0.21/K);\n4th order polynomial melting curve: phi = -7.594512597174117e-10T^4 + 3.469192091489447e-6T^3 + -0.00592352980926T^2 + 4.482855645604745T + -1268.730161921053  963.15 K ≤ T ≤ 1270.15 K with smooth Heaviside function smoothening using k_sol=0.1 K⁻¹·⁰, k_liq=0.11 K⁻¹·⁰\njulia> T_s,phi_s,dϕdT_s =  PlotMeltFraction(p_s,T=T);\n\nWe can create plots of this with:\n\njulia> plt1 = plot(T.-273.15, phi, ylabel=\"Melt Fraction ϕ\", color=:red, label=\"original\", xlabel=\"Temperature [C]\")\njulia> plt1 = plot(plt1, T.-273.15, phi_s,  color=:black, label=\"smoothened\", legend=:bottomright)\njulia> plt2 = plot(T.-273.15, dϕdT, ylabel=\"dϕ/dT\", color=:red, label=\"original\", xlabel=\"Temperature [C]\")\njulia> plt2 = plot(plt2, T.-273.15, dϕdT_s,  color=:black, label=\"smoothened\", legend=:topright)\njulia> plot!(plt1,plt2,   xlabel=\"Temperature [C]\", layout=(2,1))\n\nThe derivative no longer has a jump now:\n\n(Image: MeltingParam_Smooth)\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#Computational-routines","page":"Partial Melting","title":"Computational routines","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"To compute the melt fraction at given T and P, use:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.compute_meltfraction!\nGeoParams.MeltingParam.compute_meltfraction","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction!","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction!","text":"compute_meltfraction!(ϕ::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T:AbstractArray{<:AbstractFloat}, p::PhaseDiagram_LookupTable)\n\nIn-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified.\n\n\n\n\n\ncompute_meltfraction(ϕ::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction","text":"compute_meltfraction(P,T, p::AbstractPhaseDiagramsStruct)\n\nComputes melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified.\n\n\n\n\n\nϕ = compute_meltfraction(Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"You can also obtain the derivative of melt fraction versus temperature with (useful to compute latent heat effects):","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.compute_dϕdT!\nGeoParams.MeltingParam.compute_dϕdT","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.compute_dϕdT!","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_dϕdT!","text":"compute_dϕdT!(dϕdT::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T:AbstractArray{<:AbstractFloat}, p::PhaseDiagram_LookupTable)\n\nIn-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified. The derivative is computed by finite differencing.\n\n\n\n\n\ncompute_dϕdT!(ϕ::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputates the derivative of melt fraction ϕ versus temperature T, partial phi over partial T for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays. This is employed, for example, in computing latent heat terms in an implicit manner.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#GeoParams.MeltingParam.compute_dϕdT","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_dϕdT","text":"compute_dϕdT(P,T, p::AbstractPhaseDiagramsStruct)\n\nComputes derivative of melt fraction vs T in case we use a phase diagram lookup table. The table should have the column :meltFrac specified. The derivative is computed by finite differencing.\n\n\n\n\n\nϕ = compute_dϕdT(Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputates the derivative of melt fraction ϕ versus temperature T for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays. This is employed in computing latent heat terms in an implicit manner, for example\n\n\n\n\n\n","category":"function"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"Also note that phase diagrams can be imported using PerpleX_LaMEM_Diagram, which may also have melt content information.  The computational routines work with that as well.","category":"page"},{"location":"man/melting/#Plotting-routines","page":"Partial Melting","title":"Plotting routines","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"You can use the routine PlotMeltFraction to create a plot, provided that the Plots package has been loaded","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.PlotMeltFraction","category":"page"},{"location":"man/melting/#GeoParams.PlotMeltFraction","page":"Partial Melting","title":"GeoParams.PlotMeltFraction","text":"T,phi,plt = PlotMeltFraction(p::AbstractMeltingParam; T=nothing, plt=nothing, lbl=nothing)\n\nCreates a plot of temperature T vs. melt fraction, as specified in p.  The 1D curve can be evaluated at a specific pressure P which can be given as a scalar or as an array of the same size as T\n\nOptional parameters\n\nT: temperature range\nP: pressure \nplt: a previously generated plotting object\nlbl: label of the curve\n\nExample\n\njulia> p          =  MeltingParam_Caricchi()\njulia> T,phi,dϕdT =  PlotMeltFraction(p)\n\nyou can now save the figure to disk with:\n\njulia> using Plots\njulia> savefig(plt,\"MeltFraction.png\")\n\n\n\n\n\n","category":"function"},{"location":"man/elasticity/#Elasticity","page":"Elasticity","title":"Elasticity","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"Elasticity is, in geodynamics, often used in combination with viscous and plastic rheology.","category":"page"},{"location":"man/elasticity/#Implemented-laws","page":"Elasticity","title":"Implemented laws","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"We provide the following elastic constitutive relationships:","category":"page"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"GeoParams.MaterialParameters.Elasticity.ConstantElasticity","category":"page"},{"location":"man/elasticity/#GeoParams.MaterialParameters.Elasticity.ConstantElasticity","page":"Elasticity","title":"GeoParams.MaterialParameters.Elasticity.ConstantElasticity","text":"ConstantElasticity(G, ν, K, E)\n\nStructure that holds parameters for constant, isotropic, linear elasticity.\n\n\n\n\n\n","category":"type"},{"location":"man/elasticity/#Computational-routines","page":"Elasticity","title":"Computational routines","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"We can compute the elastic strainrate with:","category":"page"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate\nGeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate!","category":"page"},{"location":"man/elasticity/#GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate","page":"Elasticity","title":"GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate","text":"compute_elastic_shear_strainrate(s::ConstantElasticity{_T}; τII, τII_old, dt)\n\nComputes elastic strainrate given the deviatoric stress at the current (τII) and old timestep (τII_old), for a timestep dt:\n\n    dotvarepsilon^el = 1 over 2 G D tau_II over Dt   1 over 2 G tau_II- tildetau_II^old over dt \n\nNote that we here solve the scalar equation, which is sufficient for isotropic cases. In tensor form, it would be\n\n    dotvarepsilon^el_ij = 1 over 2 G  tau_ij - tildetau_ij^old over dt \n\nhere tildetau_ij^old is the rotated old deviatoric stress tensor to ensure objectivity (this can be done with Jaumann derivative, or also by using the full rotational formula).\n\n\n\n\n\n","category":"function"},{"location":"man/elasticity/#GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate!","page":"Elasticity","title":"GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate!","text":"compute_elastic_shear_strainrate!(ε_el::AbstractArray{_T,N}, s::ConstantElasticity{_T}; τII::AbstractArray{_T,N}, τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)\n\nIn-place computation of the elastic shear strainrate for given deviatoric stress invariants at the previous (τII_old) and new (τII) timestep, as well as the timestep dt  \n\n    dotvarepsilon^el = 1 over 2 G D tau_II over Dt   1 over 2 G tau_II- tau_II^old over dt \n\n\n\n\n\n","category":"function"},{"location":"man/shearheating/#Shear-heating","page":"Shear heating","title":"Shear heating","text":"","category":"section"},{"location":"man/shearheating/#Methods","page":"Shear heating","title":"Methods","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"Heat caused by non-recoverable deformation can be specified in ","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","text":"ConstantShearheating(Χ=0.0NoUnits)\n\nSet the shear heating efficiency [0-1] parameter\n\nΧ  = cst\n\nwhere Chi is the shear heating efficiency [NoUnits]\n\nShear heating is computed as\n\nH_s = Chi cdot tau_ij(dotvarepsilon_ij - dotvarepsilon^el_ij)\n\n\n\n\n\n","category":"type"},{"location":"man/shearheating/#Computational-routines","page":"Shear heating","title":"Computational routines","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"To compute, use this:","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.compute_shearheating\nGeoParams.MaterialParameters.Shearheating.compute_shearheating!","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating","text":"H_s = compute_shearheating(s:<AbstractShearheating, τ, ε, ε_el)\n\nComputes the shear heating source term\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\n\n\n\n\nH_s = ComputeShearheating(s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij \n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating!","text":"compute_shearheating!(H_s, s:<AbstractShearheating,  τ, ε, ε_el)\n\nComputes the shear heating source term in-place\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\nNOTE: The shear heating terms require the full deviatoric stress & strain rate tensors, i.e.:\n\n2D tau_ij = left(   \n                beginmatrix\n                    tau_xx  tau_xz \n                    tau_zx  tau_zz \n                endmatrix \n            right)\n\nSince tau_zx=tau_xz, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used! \n\n\n\n\n\ncompute_shearheating!(H_s, s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term H_s in-place when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij \n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#Nondimensionalization","page":"Nondimensionalization","title":"Nondimensionalization","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between GEO, SI or NO units:","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"SI units assume all input and output is in SI units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).\nGEO units uses SI units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as Myrs,km or MPa\nNO units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that velocity is given in m/s).","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"A dimensional parameter can be transformed into a non-dimensional one with nondimensionalize.","category":"page"},{"location":"man/nondimensionalize/#Specify-characteristic-values","page":"Nondimensionalization","title":"Specify characteristic values","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Characteristic values can be defined in 3 ways.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"GeoParams.Units\nAbstractGeoUnit\nGeoUnit\nGeoUnits\nGEO_units\nSI_units\nNO_units\n@unpack_val\n@unpack_units","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units","page":"Nondimensionalization","title":"GeoParams.Units","text":"This provides units and creates a non-dimensionalization object\n\n\n\n\n\n","category":"module"},{"location":"man/nondimensionalize/#GeoParams.Units.AbstractGeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.AbstractGeoUnit","text":"AbstractGeoUnit\n\nAbstract supertype for geo units.\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnit","text":"Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.\n\nHaving that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.\nWith the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnits","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnits","text":"GeoUnits\n\nStructure that holds parameters used for non-dimensionalization\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GEO_units","page":"Nondimensionalization","title":"GeoParams.Units.GEO_units","text":"GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)\n\nCreates a non-dimensionalization object using GEO units.\n\nGEO units implies that upon dimensionalization, time will be in Myrs, length in km, stress in MPa, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (km or m), provided the unit is specified.\n\nExamples:\n\njulia> CharUnits = GEO_units()\nEmploying GEO units \nCharacteristic values: \n         length:      1000 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\njulia> CharUnits.velocity\n1.0e-7 m s⁻¹\n\nIf we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic length:\n\njulia> CharUnits = GEO_units(length=10km)\nEmploying GEO units \nCharacteristic values: \n         length:      10 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.SI_units","page":"Nondimensionalization","title":"GeoParams.Units.SI_units","text":"CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)\n\nSpecify the characteristic values using SI units \n\nExamples:\n\njulia> CharUnits = SI_units(length=1000m)\nEmploying SI units \nCharacteristic values: \n         length:      1000 m\n         time:        1.0e19 s\n         stress:      10 Pa\n         temperature: 1000.0 K\n\nNote that the same can be achieved if the input is given in km:\n\njulia> CharUnits = SI_units(length=1km)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.NO_units","page":"Nondimensionalization","title":"GeoParams.Units.NO_units","text":"CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)\n\nSpecify the characteristic values in non-dimensional units\n\nExamples:\n\njulia> using GeoParams;\njulia> CharUnits = NO_units()\nEmploying NONE units \nCharacteristic values: \n         length:      1\n         time:        1.0 \n         stress:      1\n         temperature: 1.0\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_val","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_val","text":"This unpacks the numerical value of `GeoUnit` in a structure, without the units.\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_val ρ,α = r\njulia> α\n4.0e-5\njulia> typeof(α)\nFloat64\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_units","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_units","text":"This unpacks the numerical value with units of `GeoUnit` parameters in a structure\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_units ρ,α = r\njulia> α\n4.0e-5 K⁻¹·⁰\njulia> typeof(α)\nQuantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#(Non)-dimensionalize-parameters","page":"Nondimensionalization","title":"(Non)-dimensionalize parameters","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"nondimensionalize\ndimensionalize\nisDimensional","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units.nondimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.nondimensionalize","text":"nondimensionalize(param, CharUnits::GeoUnits{TYPE})\n\nNondimensionalizes param using the characteristic values specified in CharUnits\n\nExample 1\n\njulia> using GeoParams;\njulia> CharUnits =   GEO_units();\njulia> v         =   3cm/yr\n3 cm yr⁻¹ \njulia> v_ND      =   nondimensionalize(v, CharUnits) \n0.009506426344208684\n\nExample 2\n\nIn geodynamics one sometimes encounters more funky units\n\njulia> CharUnits =   GEO_units();\njulia> A         =   6.3e-2MPa^-3.05*s^-1\n0.063 MPa⁻³·⁰⁵ s⁻¹\njulia> A_ND      =   nondimensionalize(A, CharUnits) \n7.068716262102384e14\n\nIn case you are interested to see how the units of A look like in different units, use this function from the Unitful package:\n\njulia> uconvert(u\"Pa^-3.05*s^-1\",A) \n3.157479571851836e-20 Pa⁻³·⁰⁵\n\nand to see it decomposed in the basic SI units of length, mass and time:\n\njulia> upreferred(A)\n3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵\n\n\n\n\n\nMatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nNon-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\nnondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nnondimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.dimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.dimensionalize","text":"dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes param into the dimensions param_dim using the characteristic values specified in CharUnits.  \n\nExample\n\njulia> CharUnits =   GEO_units();\njulia> v_ND      =   nondimensionalize(3cm/yr, CharUnits) \n0.031688087814028945\njulia> v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) \n3.0 cm yr⁻¹\n\n\n\n\n\ndimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\nDimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nDimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.isDimensional","page":"Nondimensionalization","title":"GeoParams.Units.isDimensional","text":"isDimensional(MatParam::AbstractMaterialParam)\n\ntrue if MatParam is in dimensional units.    \n\n\n\n\n\n","category":"function"},{"location":"man/density/#Density","page":"Density","title":"Density","text":"","category":"section"},{"location":"man/density/#Methods","page":"Density","title":"Methods","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"The density equation of state can be specified in a number of ways","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.ConstantDensity\nGeoParams.MaterialParameters.Density.PT_Density\nGeoParams.MaterialParameters.Density.Compressible_Density","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.ConstantDensity","page":"Density","title":"GeoParams.MaterialParameters.Density.ConstantDensity","text":"ConstantDensity(ρ=2900kg/m^3)\n\nSet a constant density:\n\n    rho  = cst\n\nwhere rho is the density [kgm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.PT_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.PT_Density","text":"PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)\n\nSet a pressure and temperature-dependent density:\n\n    rho  = rho_0 (10 - alpha (T-T_0) + beta  (P-P_0) )  \n\nwhere rho_0 is the density [kgm^3] at reference temperature T_0 and pressure P_0, alpha is the temperature dependence of density and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.Compressible_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.Compressible_Density","text":"Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)\n\nSet a pressure-dependent density:\n\n    rho  = rho_0 exp(β*(P - P_0))  \n\nwhere rho_0 is the density [kgm^3] at reference pressure P_0 and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#Computational-routines","page":"Density","title":"Computational routines","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"To evaluate density within a user routine, use this:","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.compute_density\nGeoParams.MaterialParameters.Density.compute_density!","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density","text":"compute_density(P,T, s::PhaseDiagram_LookupTable)\n\nInterpolates density as a function of T,P from a lookup table  \n\n\n\n\n\n","category":"function"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density!","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density!","text":"compute_density!(rho::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, s::PhaseDiagram_LookupTable)\n\nIn-place computation of density as a function of T,P, in case we are using a lookup table.    \n\n\n\n\n\ncompute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I<:Integer}\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\nExample\n\njulia> MatParam = (SetMaterialParams(Name=\"Mantle\", Phase=1,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                        Density   = PT_Density()\n                        ),\n                    SetMaterialParams(Name=\"Crust\", Phase=2,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),\n                        Density   = ConstantDensity(ρ=2900kg/m^3))\n                  );\njulia> Phases = ones(Int64,400,400);\njulia> Phases[:,20:end] .= 2\njulia> rho     = zeros(size(Phases))\njulia> T       =  ones(size(Phases))\njulia> P       =  ones(size(Phases))*10\njulia> compute_density!(rho, MatParam, Phases, P, T)\njulia> rho\n400×400 Matrix{Float64}:\n2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮                            \n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n\nThe routine is made to minimize allocations:\n\njulia> using BenchmarkTools\njulia> @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)\n    203.468 μs (0 allocations: 0 bytes)\n\n_____________________________________________________________________________________________________________________________   \n\ncompute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/density/","page":"Density","title":"Density","text":"Note that density values are usually not used in itself in the governing PDE's, but usually in combination with other parameters, such as rho g or rho c_p. the non-dimensional value of rho may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.","category":"page"},{"location":"man/gravity/#Gravitational-acceleration","page":"Gravity","title":"Gravitational acceleration","text":"","category":"section"},{"location":"man/gravity/#Methods","page":"Gravity","title":"Methods","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"Gravitational acceleration is defined as ","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","text":"GravityConstant(g=9.81m/s^2)\n\nSet a constant value for the gravitational acceleration:\n\n    g  = 981 m s^-2\n\n\n\n\n\n","category":"type"},{"location":"man/gravity/#Computational-routines","page":"Gravity","title":"Computational routines","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"To compute, use this:","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","text":"compute_gravity(s:<AbstractGravity)\n\nReturns the gravitational acceleration \n\n\n\n\n\n","category":"function"},{"location":"#GeoParams.jl","page":"Home","title":"GeoParams.jl","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:","category":"page"},{"location":"","page":"Home","title":"Home","text":"Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).\nMaterial parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. ","category":"page"},{"location":"","page":"Home","title":"Home","text":"We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).","category":"page"},{"location":"man/conductivity/#Conductivity","page":"Conductivity","title":"Conductivity","text":"","category":"section"},{"location":"man/conductivity/#Methods","page":"Conductivity","title":"Methods","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"Thermal conductivity is defined as ","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity\nGeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington\nGeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised\nGeoParams.MaterialParameters.Conductivity.TP_Conductivity\nGeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity","text":"ConstantConductivity(k=3.0W/m/K)\n\nSet a constant conductivity\n\n    k  = cst\n\nwhere k is the thermal conductivity [WmK].\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington","text":"T_Conductivity_Whittington()\n\nSets a temperature-dependent conductivity following the parameterization of Whittington, A.G., Hofmeister, A.M., Nabelek, P.I., 2009. Temperature-dependent thermal diffusivity of the Earth’s crust and implications for magmatism. Nature 458, 319–321. https://doi.org/10.1038/nature07818.  Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us to compute \n\n    Cp = a + b T - cT^2 \n\n    kappa = dT - e textrm if  T=846K\n\n    kappa = f - g*T textrm if  T846K\n\n    rho = 2700 kgm^3\n\n    k = kappa rho Cp\n\nwhere Cp is the heat capacity [JmolK], and abc are parameters that dependent on the temperature T:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nd = 576.3m^2/s*K      \ne = 0.062m^2/s        \nf = 0.732m^2/s        \ng = 0.000135m^2/s/K \n\nThis looks like:\n\n(Image: subet1)\n\nExample\n\njulia> using GeoParams, Plots\njulia> p=T_Conductivity_Whittington();\njulia> T,k,plt = PlotConductivity(p)\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised","text":"T_Conductivity_Whittington_parameterised()\n\nSets a temperature-dependent conductivity that is  parameterization after Whittington, et al.  2009 \n\nThe original parameterization involves quite a few parameters; this is a polynomial fit that is roughly valid from 0-1000Celcius\n\n    k WmK = -2 10^-9 (T-Ts)^3 + 6 10^-6 (T-Ts)^2 - 00062 (T-Ts) + 4\n\n    Ts = 27315 K\n\nwhere T[K] is the temperature in Kelvin (or the nondimensional equivalent of it).\n\nThe comparison of this parameterisation vs. the original one is: (Image: subet1)\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.TP_Conductivity","text":"TP_Conductivity()\n\nSets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for  \n\n    k = left( a_k +  b_k over T + c_k right) (1 + d_k P) \n\nwhere k is the conductivity [WKm], and a_kb_kc_kd_k are parameters that dependent on the temperature T and pressure P:\n\na_k = 1.18Watt/K/m    \nb_k = 474Watt/m \nc_k = 77K       \nd_k = 0/MPa       \n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","text":"Set_TP_Conductivity[\"Name of temperature(-pressure) dependent conductivity\"]\n\nThis is a dictionary with pre-defined laws:\n\n\"UpperCrust\"    \n\"LowerCrust\"\n\"OceanicCrust\"\n\"Mantle\"\n\nExample\n\njulia> k=Set_TP_Conductivity[\"Mantle\"]\nT/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)  \n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#Computational-routines","page":"Conductivity","title":"Computational routines","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"To compute, use this:","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.compute_conductivity\nGeoParams.MaterialParameters.Conductivity.compute_conductivity!","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity","text":"k = compute_conductivity(P, T, s:<AbstractConductivity)\n\nReturns the thermal conductivity k at any temperature T and pressure P using any of the parameterizations implemented.\n\nCurrently available:\n\nConstantConductivity\nT_Conductivity_Whittington\nTP_Conductivity\n\nExample\n\nUsing dimensional units\n\njulia> T  = (250:100:1250)*K;\njulia> cp = T_HeatCapacity_Whittington()\njulia> Cp = ComputeHeatCapacity(0,T,cp)\n\n\n\n\n\ncompute_conductivity!(K::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},Temp::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of conductivity K for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and Temp arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n_________________________________________________________________________________________________________\n\ncompute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity!","text":"compute_conductivity!(k_array::AbstractArray{<:AbstractFloat,N},P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, s::T_Conductivity_Whittington) where N\n\nIn-place routine to compute temperature-dependent conductivity    \n\n\n\n\n\ncompute_conductivity!(k::AbstractArray{_T,N}, s::T_Conductivity_Whittington_parameterised{_T}, P::AbstractArray{_T,N}, T::AbstractArray{_T,N})\n\nIn-place routine to compute temperature-dependent conductivity    \n\n\n\n\n\n","category":"function"}]
+}
diff --git a/v0.3.8/siteinfo.js b/v0.3.8/siteinfo.js
new file mode 100644
index 000000000..f96c6a553
--- /dev/null
+++ b/v0.3.8/siteinfo.js
@@ -0,0 +1 @@
+var DOCUMENTER_CURRENT_VERSION = "v0.3.8";
diff --git a/v0.3.9/assets/documenter.js b/v0.3.9/assets/documenter.js
new file mode 100644
index 000000000..4fb3baaf5
--- /dev/null
+++ b/v0.3.9/assets/documenter.js
@@ -0,0 +1,331 @@
+// Generated by Documenter.jl
+requirejs.config({
+  paths: {
+    'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.0.1/languages/julia.min',
+    'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min',
+    'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.12.1/jquery-ui.min',
+    'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/contrib/auto-render.min',
+    'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min',
+    'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min',
+    'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min',
+    'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.0.1/highlight.min',
+    'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.0.1/languages/julia-repl.min',
+  },
+  shim: {
+  "highlight-julia": {
+    "deps": [
+      "highlight"
+    ]
+  },
+  "katex-auto-render": {
+    "deps": [
+      "katex"
+    ]
+  },
+  "headroom-jquery": {
+    "deps": [
+      "jquery",
+      "headroom"
+    ]
+  },
+  "highlight-julia-repl": {
+    "deps": [
+      "highlight"
+    ]
+  }
+}
+});
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) {
+$(document).ready(function() {
+  renderMathInElement(
+    document.body,
+    {
+  "delimiters": [
+    {
+      "left": "$",
+      "right": "$",
+      "display": false
+    },
+    {
+      "left": "$$",
+      "right": "$$",
+      "display": true
+    },
+    {
+      "left": "\\[",
+      "right": "\\]",
+      "display": true
+    }
+  ]
+}
+
+  );
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) {
+$(document).ready(function() {
+    hljs.highlightAll();
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require([], function() {
+function addCopyButtonCallbacks() {
+  for (const el of document.getElementsByTagName("pre")) {
+    const button = document.createElement("button");
+    button.classList.add("copy-button", "fas", "fa-copy");
+    el.appendChild(button);
+
+    const success = function () {
+      button.classList.add("success", "fa-check");
+      button.classList.remove("fa-copy");
+    };
+
+    const failure = function () {
+      button.classList.add("error", "fa-times");
+      button.classList.remove("fa-copy");
+    };
+
+    button.addEventListener("click", function () {
+      copyToClipboard(el.innerText).then(success, failure);
+
+      setTimeout(function () {
+        button.classList.add("fa-copy");
+        button.classList.remove("success", "fa-check", "fa-times");
+      }, 5000);
+    });
+  }
+}
+
+function copyToClipboard(text) {
+  // clipboard API is only available in secure contexts
+  if (window.navigator && window.navigator.clipboard) {
+    return window.navigator.clipboard.writeText(text);
+  } else {
+    return new Promise(function (resolve, reject) {
+      try {
+        const el = document.createElement("textarea");
+        el.textContent = text;
+        el.style.position = "fixed";
+        el.style.opacity = 0;
+        document.body.appendChild(el);
+        el.select();
+        document.execCommand("copy");
+
+        resolve();
+      } catch (err) {
+        reject(err);
+      } finally {
+        document.body.removeChild(el);
+      }
+    });
+  }
+}
+
+if (document.readyState === "loading") {
+  document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks);
+} else {
+  addCopyButtonCallbacks();
+}
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) {
+
+// Manages the top navigation bar (hides it when the user starts scrolling down on the
+// mobile).
+window.Headroom = Headroom; // work around buggy module loading?
+$(document).ready(function() {
+  $('#documenter .docs-navbar').headroom({
+    "tolerance": {"up": 10, "down": 10},
+  });
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// Modal settings dialog
+$(document).ready(function() {
+  var settings = $('#documenter-settings');
+  $('#documenter-settings-button').click(function(){
+    settings.toggleClass('is-active');
+  });
+  // Close the dialog if X is clicked
+  $('#documenter-settings button.delete').click(function(){
+    settings.removeClass('is-active');
+  });
+  // Close dialog if ESC is pressed
+  $(document).keyup(function(e) {
+    if (e.keyCode == 27) settings.removeClass('is-active');
+  });
+});
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// Manages the showing and hiding of the sidebar.
+$(document).ready(function() {
+  var sidebar = $("#documenter > .docs-sidebar");
+  var sidebar_button = $("#documenter-sidebar-button")
+  sidebar_button.click(function(ev) {
+    ev.preventDefault();
+    sidebar.toggleClass('visible');
+    if (sidebar.hasClass('visible')) {
+      // Makes sure that the current menu item is visible in the sidebar.
+      $("#documenter .docs-menu a.is-active").focus();
+    }
+  });
+  $("#documenter > .docs-main").bind('click', function(ev) {
+    if ($(ev.target).is(sidebar_button)) {
+      return;
+    }
+    if (sidebar.hasClass('visible')) {
+      sidebar.removeClass('visible');
+    }
+  });
+})
+
+// Resizes the package name / sitename in the sidebar if it is too wide.
+// Inspired by: https://github.com/davatron5000/FitText.js
+$(document).ready(function() {
+  e = $("#documenter .docs-autofit");
+  function resize() {
+    var L = parseInt(e.css('max-width'), 10);
+    var L0 = e.width();
+    if(L0 > L) {
+      var h0 = parseInt(e.css('font-size'), 10);
+      e.css('font-size', L * h0 / L0);
+      // TODO: make sure it survives resizes?
+    }
+  }
+  // call once and then register events
+  resize();
+  $(window).resize(resize);
+  $(window).on('orientationchange', resize);
+});
+
+// Scroll the navigation bar to the currently selected menu item
+$(document).ready(function() {
+  var sidebar = $("#documenter .docs-menu").get(0);
+  var active = $("#documenter .docs-menu .is-active").get(0);
+  if(typeof active !== 'undefined') {
+    sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15;
+  }
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+function set_theme(theme) {
+  var active = null;
+  var disabled = [];
+  for (var i = 0; i < document.styleSheets.length; i++) {
+    var ss = document.styleSheets[i];
+    var themename = ss.ownerNode.getAttribute("data-theme-name");
+    if(themename === null) continue; // ignore non-theme stylesheets
+    // Find the active theme
+    if(themename === theme) active = ss;
+    else disabled.push(ss);
+  }
+  if(active !== null) {
+    active.disabled = false;
+    if(active.ownerNode.getAttribute("data-theme-primary") === null) {
+      document.getElementsByTagName('html')[0].className = "theme--" + theme;
+    } else {
+      document.getElementsByTagName('html')[0].className = "";
+    }
+    disabled.forEach(function(ss){
+      ss.disabled = true;
+    });
+  }
+
+  // Store the theme in localStorage
+  if(typeof(window.localStorage) !== "undefined") {
+    window.localStorage.setItem("documenter-theme", theme);
+  } else {
+    console.error("Browser does not support window.localStorage");
+  }
+}
+
+// Theme picker setup
+$(document).ready(function() {
+  // onchange callback
+  $('#documenter-themepicker').change(function themepick_callback(ev){
+    var themename = $('#documenter-themepicker option:selected').attr('value');
+    set_theme(themename);
+  });
+
+  // Make sure that the themepicker displays the correct theme when the theme is retrieved
+  // from localStorage
+  if(typeof(window.localStorage) !== "undefined") {
+    var theme =  window.localStorage.getItem("documenter-theme");
+    if(theme !== null) {
+      $('#documenter-themepicker option').each(function(i,e) {
+        e.selected = (e.value === theme);
+      })
+    } else {
+      $('#documenter-themepicker option').each(function(i,e) {
+        e.selected = $("html").hasClass(`theme--${e.value}`);
+      })
+    }
+  }
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// update the version selector with info from the siteinfo.js and ../versions.js files
+$(document).ready(function() {
+  // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the
+  // siteinfo.js file, we just return immediately and not display the version selector.
+  if (typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === 'boolean' && DOCUMENTER_VERSION_SELECTOR_DISABLED) {
+    return;
+  }
+
+  var version_selector = $("#documenter .docs-version-selector");
+  var version_selector_select = $("#documenter .docs-version-selector select");
+
+  version_selector_select.change(function(x) {
+    target_href = version_selector_select.children("option:selected").get(0).value;
+    window.location.href = target_href;
+  });
+
+  // add the current version to the selector based on siteinfo.js, but only if the selector is empty
+  if (typeof DOCUMENTER_CURRENT_VERSION !== 'undefined' && $('#version-selector > option').length == 0) {
+    var option = $("<option value='#' selected='selected'>" + DOCUMENTER_CURRENT_VERSION + "</option>");
+    version_selector_select.append(option);
+  }
+
+  if (typeof DOC_VERSIONS !== 'undefined') {
+    var existing_versions = version_selector_select.children("option");
+    var existing_versions_texts = existing_versions.map(function(i,x){return x.text});
+    DOC_VERSIONS.forEach(function(each) {
+      var version_url = documenterBaseURL + "/../" + each;
+      var existing_id = $.inArray(each, existing_versions_texts);
+      // if not already in the version selector, add it as a new option,
+      // otherwise update the old option with the URL and enable it
+      if (existing_id == -1) {
+        var option = $("<option value='" + version_url + "'>" + each + "</option>");
+        version_selector_select.append(option);
+      } else {
+        var option = existing_versions[existing_id];
+        option.value = version_url;
+        option.disabled = false;
+      }
+    });
+  }
+
+  // only show the version selector if the selector has been populated
+  if (version_selector_select.children("option").length > 0) {
+    version_selector.toggleClass("visible");
+  }
+})
+
+})
diff --git a/v0.3.9/assets/search.js b/v0.3.9/assets/search.js
new file mode 100644
index 000000000..c133f7410
--- /dev/null
+++ b/v0.3.9/assets/search.js
@@ -0,0 +1,267 @@
+// Generated by Documenter.jl
+requirejs.config({
+  paths: {
+    'lunr': 'https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min',
+    'lodash': 'https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.21/lodash.min',
+    'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min',
+  }
+});
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'lunr', 'lodash'], function($, lunr, _) {
+
+$(document).ready(function() {
+  // parseUri 1.2.2
+  // (c) Steven Levithan <stevenlevithan.com>
+  // MIT License
+  function parseUri (str) {
+    var  o   = parseUri.options,
+      m   = o.parser[o.strictMode ? "strict" : "loose"].exec(str),
+      uri = {},
+      i   = 14;
+
+    while (i--) uri[o.key[i]] = m[i] || "";
+
+    uri[o.q.name] = {};
+    uri[o.key[12]].replace(o.q.parser, function ($0, $1, $2) {
+      if ($1) uri[o.q.name][$1] = $2;
+    });
+
+    return uri;
+  };
+  parseUri.options = {
+    strictMode: false,
+    key: ["source","protocol","authority","userInfo","user","password","host","port","relative","path","directory","file","query","anchor"],
+    q:   {
+      name:   "queryKey",
+      parser: /(?:^|&)([^&=]*)=?([^&]*)/g
+    },
+    parser: {
+      strict: /^(?:([^:\/?#]+):)?(?:\/\/((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?))?((((?:[^?#\/]*\/)*)([^?#]*))(?:\?([^#]*))?(?:#(.*))?)/,
+      loose:  /^(?:(?![^:@]+:[^:@\/]*@)([^:\/?#.]+):)?(?:\/\/)?((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?)(((\/(?:[^?#](?![^?#\/]*\.[^?#\/.]+(?:[?#]|$)))*\/?)?([^?#\/]*))(?:\?([^#]*))?(?:#(.*))?)/
+    }
+  };
+
+  $("#search-form").submit(function(e) {
+    e.preventDefault()
+  })
+
+  // list below is the lunr 2.1.3 list minus the intersect with names(Base)
+  // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with)
+  // ideally we'd just filter the original list but it's not available as a variable
+  lunr.stopWordFilter = lunr.generateStopWordFilter([
+    'a',
+    'able',
+    'about',
+    'across',
+    'after',
+    'almost',
+    'also',
+    'am',
+    'among',
+    'an',
+    'and',
+    'are',
+    'as',
+    'at',
+    'be',
+    'because',
+    'been',
+    'but',
+    'by',
+    'can',
+    'cannot',
+    'could',
+    'dear',
+    'did',
+    'does',
+    'either',
+    'ever',
+    'every',
+    'from',
+    'got',
+    'had',
+    'has',
+    'have',
+    'he',
+    'her',
+    'hers',
+    'him',
+    'his',
+    'how',
+    'however',
+    'i',
+    'if',
+    'into',
+    'it',
+    'its',
+    'just',
+    'least',
+    'like',
+    'likely',
+    'may',
+    'me',
+    'might',
+    'most',
+    'must',
+    'my',
+    'neither',
+    'no',
+    'nor',
+    'not',
+    'of',
+    'off',
+    'often',
+    'on',
+    'or',
+    'other',
+    'our',
+    'own',
+    'rather',
+    'said',
+    'say',
+    'says',
+    'she',
+    'should',
+    'since',
+    'so',
+    'some',
+    'than',
+    'that',
+    'the',
+    'their',
+    'them',
+    'then',
+    'there',
+    'these',
+    'they',
+    'this',
+    'tis',
+    'to',
+    'too',
+    'twas',
+    'us',
+    'wants',
+    'was',
+    'we',
+    'were',
+    'what',
+    'when',
+    'who',
+    'whom',
+    'why',
+    'will',
+    'would',
+    'yet',
+    'you',
+    'your'
+  ])
+
+  // add . as a separator, because otherwise "title": "Documenter.Anchors.add!"
+  // would not find anything if searching for "add!", only for the entire qualification
+  lunr.tokenizer.separator = /[\s\-\.]+/
+
+  // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names
+  lunr.trimmer = function (token) {
+    return token.update(function (s) {
+      return s.replace(/^[^a-zA-Z0-9@!]+/, '').replace(/[^a-zA-Z0-9@!]+$/, '')
+    })
+  }
+
+  lunr.Pipeline.registerFunction(lunr.stopWordFilter, 'juliaStopWordFilter')
+  lunr.Pipeline.registerFunction(lunr.trimmer, 'juliaTrimmer')
+
+  var index = lunr(function () {
+    this.ref('location')
+    this.field('title',{boost: 100})
+    this.field('text')
+    documenterSearchIndex['docs'].forEach(function(e) {
+        this.add(e)
+    }, this)
+  })
+  var store = {}
+
+  documenterSearchIndex['docs'].forEach(function(e) {
+      store[e.location] = {title: e.title, category: e.category, page: e.page}
+  })
+
+  $(function(){
+    searchresults = $('#documenter-search-results');
+    searchinfo = $('#documenter-search-info');
+    searchbox = $('#documenter-search-query');
+    searchform = $('.docs-search');
+    sidebar = $('.docs-sidebar');
+    function update_search(querystring) {
+      tokens = lunr.tokenizer(querystring)
+      results = index.query(function (q) {
+        tokens.forEach(function (t) {
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 100,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 10,
+            usePipeline: true,
+            editDistance: 2,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["text"],
+            boost: 1,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+        })
+      })
+      searchinfo.text("Number of results: " + results.length)
+      searchresults.empty()
+      results.forEach(function(result) {
+        data = store[result.ref]
+        link = $('<a class="docs-label">'+data.title+'</a>')
+        link.attr('href', documenterBaseURL+'/'+result.ref)
+        if (data.category != "page"){
+          cat = $('<span class="docs-category">('+data.category+', '+data.page+')</span>')
+        } else {
+          cat = $('<span class="docs-category">('+data.category+')</span>')
+        }
+        li = $('<li>').append(link).append(" ").append(cat)
+        searchresults.append(li)
+      })
+    }
+
+    function update_search_box() {
+      querystring = searchbox.val()
+      update_search(querystring)
+    }
+
+    searchbox.keyup(_.debounce(update_search_box, 250))
+    searchbox.change(update_search_box)
+
+    // Disable enter-key form submission for the searchbox on the search page
+    // and just re-run search rather than refresh the whole page.
+    searchform.keypress(
+      function(event){
+        if (event.which == '13') {
+          if (sidebar.hasClass('visible')) {
+            sidebar.removeClass('visible');
+          }
+          update_search_box();
+          event.preventDefault();
+        }
+      }
+    );
+
+    search_query_uri = parseUri(window.location).queryKey["q"]
+    if(search_query_uri !== undefined) {
+      search_query = decodeURIComponent(search_query_uri.replace(/\+/g, '%20'))
+      searchbox.val(search_query)
+    }
+    update_search_box();
+  })
+})
+
+})
diff --git a/v0.3.9/assets/themes/documenter-dark.css b/v0.3.9/assets/themes/documenter-dark.css
new file mode 100644
index 000000000..0bf1af7d5
--- /dev/null
+++ b/v0.3.9/assets/themes/documenter-dark.css
@@ -0,0 +1,7702 @@
+@charset "UTF-8";
+/* Font Awesome 5 mixin. Can be included in any rule that should render Font Awesome icons. */
+@keyframes spinAround {
+  from {
+    transform: rotate(0deg); }
+  to {
+    transform: rotate(359deg); } }
+
+html.theme--documenter-dark .tabs, html.theme--documenter-dark .pagination-previous,
+html.theme--documenter-dark .pagination-next,
+html.theme--documenter-dark .pagination-link,
+html.theme--documenter-dark .pagination-ellipsis, html.theme--documenter-dark .breadcrumb, html.theme--documenter-dark .file, html.theme--documenter-dark .button, .is-unselectable, html.theme--documenter-dark .modal-close, html.theme--documenter-dark .delete {
+  -webkit-touch-callout: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  user-select: none; }
+
+html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after, html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after {
+  border: 3px solid transparent;
+  border-radius: 2px;
+  border-right: 0;
+  border-top: 0;
+  content: " ";
+  display: block;
+  height: 0.625em;
+  margin-top: -0.4375em;
+  pointer-events: none;
+  position: absolute;
+  top: 50%;
+  transform: rotate(-45deg);
+  transform-origin: center;
+  width: 0.625em; }
+
+html.theme--documenter-dark .admonition:not(:last-child), html.theme--documenter-dark .tabs:not(:last-child), html.theme--documenter-dark .message:not(:last-child), html.theme--documenter-dark .list:not(:last-child), html.theme--documenter-dark .level:not(:last-child), html.theme--documenter-dark .breadcrumb:not(:last-child), html.theme--documenter-dark .highlight:not(:last-child), html.theme--documenter-dark .block:not(:last-child), html.theme--documenter-dark .title:not(:last-child),
+html.theme--documenter-dark .subtitle:not(:last-child), html.theme--documenter-dark .table-container:not(:last-child), html.theme--documenter-dark .table:not(:last-child), html.theme--documenter-dark .progress:not(:last-child), html.theme--documenter-dark .notification:not(:last-child), html.theme--documenter-dark .content:not(:last-child), html.theme--documenter-dark .box:not(:last-child) {
+  margin-bottom: 1.5rem; }
+
+html.theme--documenter-dark .modal-close, html.theme--documenter-dark .delete {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  background-color: rgba(10, 10, 10, 0.2);
+  border: none;
+  border-radius: 290486px;
+  cursor: pointer;
+  pointer-events: auto;
+  display: inline-block;
+  flex-grow: 0;
+  flex-shrink: 0;
+  font-size: 0;
+  height: 20px;
+  max-height: 20px;
+  max-width: 20px;
+  min-height: 20px;
+  min-width: 20px;
+  outline: none;
+  position: relative;
+  vertical-align: top;
+  width: 20px; }
+  html.theme--documenter-dark .modal-close::before, html.theme--documenter-dark .delete::before, html.theme--documenter-dark .modal-close::after, html.theme--documenter-dark .delete::after {
+    background-color: white;
+    content: "";
+    display: block;
+    left: 50%;
+    position: absolute;
+    top: 50%;
+    transform: translateX(-50%) translateY(-50%) rotate(45deg);
+    transform-origin: center center; }
+  html.theme--documenter-dark .modal-close::before, html.theme--documenter-dark .delete::before {
+    height: 2px;
+    width: 50%; }
+  html.theme--documenter-dark .modal-close::after, html.theme--documenter-dark .delete::after {
+    height: 50%;
+    width: 2px; }
+  html.theme--documenter-dark .modal-close:hover, html.theme--documenter-dark .delete:hover, html.theme--documenter-dark .modal-close:focus, html.theme--documenter-dark .delete:focus {
+    background-color: rgba(10, 10, 10, 0.3); }
+  html.theme--documenter-dark .modal-close:active, html.theme--documenter-dark .delete:active {
+    background-color: rgba(10, 10, 10, 0.4); }
+  html.theme--documenter-dark .is-small.modal-close, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.modal-close, html.theme--documenter-dark .is-small.delete, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.delete {
+    height: 16px;
+    max-height: 16px;
+    max-width: 16px;
+    min-height: 16px;
+    min-width: 16px;
+    width: 16px; }
+  html.theme--documenter-dark .is-medium.modal-close, html.theme--documenter-dark .is-medium.delete {
+    height: 24px;
+    max-height: 24px;
+    max-width: 24px;
+    min-height: 24px;
+    min-width: 24px;
+    width: 24px; }
+  html.theme--documenter-dark .is-large.modal-close, html.theme--documenter-dark .is-large.delete {
+    height: 32px;
+    max-height: 32px;
+    max-width: 32px;
+    min-height: 32px;
+    min-width: 32px;
+    width: 32px; }
+
+html.theme--documenter-dark .control.is-loading::after, html.theme--documenter-dark .select.is-loading::after, html.theme--documenter-dark .loader, html.theme--documenter-dark .button.is-loading::after {
+  animation: spinAround 500ms infinite linear;
+  border: 2px solid #dbdee0;
+  border-radius: 290486px;
+  border-right-color: transparent;
+  border-top-color: transparent;
+  content: "";
+  display: block;
+  height: 1em;
+  position: relative;
+  width: 1em; }
+
+html.theme--documenter-dark .hero-video, html.theme--documenter-dark .modal-background, html.theme--documenter-dark .modal, html.theme--documenter-dark .image.is-square img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square img,
+html.theme--documenter-dark .image.is-square .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, html.theme--documenter-dark .image.is-1by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+html.theme--documenter-dark .image.is-1by1 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, html.theme--documenter-dark .image.is-5by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+html.theme--documenter-dark .image.is-5by4 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, html.theme--documenter-dark .image.is-4by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+html.theme--documenter-dark .image.is-4by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, html.theme--documenter-dark .image.is-3by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+html.theme--documenter-dark .image.is-3by2 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, html.theme--documenter-dark .image.is-5by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+html.theme--documenter-dark .image.is-5by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, html.theme--documenter-dark .image.is-16by9 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+html.theme--documenter-dark .image.is-16by9 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, html.theme--documenter-dark .image.is-2by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+html.theme--documenter-dark .image.is-2by1 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, html.theme--documenter-dark .image.is-3by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+html.theme--documenter-dark .image.is-3by1 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, html.theme--documenter-dark .image.is-4by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+html.theme--documenter-dark .image.is-4by5 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, html.theme--documenter-dark .image.is-3by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+html.theme--documenter-dark .image.is-3by4 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, html.theme--documenter-dark .image.is-2by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+html.theme--documenter-dark .image.is-2by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, html.theme--documenter-dark .image.is-3by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+html.theme--documenter-dark .image.is-3by5 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, html.theme--documenter-dark .image.is-9by16 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+html.theme--documenter-dark .image.is-9by16 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, html.theme--documenter-dark .image.is-1by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+html.theme--documenter-dark .image.is-1by2 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, html.theme--documenter-dark .image.is-1by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+html.theme--documenter-dark .image.is-1by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio, .is-overlay {
+  bottom: 0;
+  left: 0;
+  position: absolute;
+  right: 0;
+  top: 0; }
+
+html.theme--documenter-dark .pagination-previous,
+html.theme--documenter-dark .pagination-next,
+html.theme--documenter-dark .pagination-link,
+html.theme--documenter-dark .pagination-ellipsis, html.theme--documenter-dark .file-cta,
+html.theme--documenter-dark .file-name, html.theme--documenter-dark .select select, html.theme--documenter-dark .textarea, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark .button {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  align-items: center;
+  border: 1px solid transparent;
+  border-radius: 0.4em;
+  box-shadow: none;
+  display: inline-flex;
+  font-size: 15px;
+  height: 2.25em;
+  justify-content: flex-start;
+  line-height: 1.5;
+  padding-bottom: calc(0.375em - 1px);
+  padding-left: calc(0.625em - 1px);
+  padding-right: calc(0.625em - 1px);
+  padding-top: calc(0.375em - 1px);
+  position: relative;
+  vertical-align: top; }
+  html.theme--documenter-dark .pagination-previous:focus,
+  html.theme--documenter-dark .pagination-next:focus,
+  html.theme--documenter-dark .pagination-link:focus,
+  html.theme--documenter-dark .pagination-ellipsis:focus, html.theme--documenter-dark .file-cta:focus,
+  html.theme--documenter-dark .file-name:focus, html.theme--documenter-dark .select select:focus, html.theme--documenter-dark .textarea:focus, html.theme--documenter-dark .input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:focus, html.theme--documenter-dark .button:focus, html.theme--documenter-dark .is-focused.pagination-previous,
+  html.theme--documenter-dark .is-focused.pagination-next,
+  html.theme--documenter-dark .is-focused.pagination-link,
+  html.theme--documenter-dark .is-focused.pagination-ellipsis, html.theme--documenter-dark .is-focused.file-cta,
+  html.theme--documenter-dark .is-focused.file-name, html.theme--documenter-dark .select select.is-focused, html.theme--documenter-dark .is-focused.textarea, html.theme--documenter-dark .is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-focused.button, html.theme--documenter-dark .pagination-previous:active,
+  html.theme--documenter-dark .pagination-next:active,
+  html.theme--documenter-dark .pagination-link:active,
+  html.theme--documenter-dark .pagination-ellipsis:active, html.theme--documenter-dark .file-cta:active,
+  html.theme--documenter-dark .file-name:active, html.theme--documenter-dark .select select:active, html.theme--documenter-dark .textarea:active, html.theme--documenter-dark .input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:active, html.theme--documenter-dark .button:active, html.theme--documenter-dark .is-active.pagination-previous,
+  html.theme--documenter-dark .is-active.pagination-next,
+  html.theme--documenter-dark .is-active.pagination-link,
+  html.theme--documenter-dark .is-active.pagination-ellipsis, html.theme--documenter-dark .is-active.file-cta,
+  html.theme--documenter-dark .is-active.file-name, html.theme--documenter-dark .select select.is-active, html.theme--documenter-dark .is-active.textarea, html.theme--documenter-dark .is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .is-active.button {
+    outline: none; }
+  html.theme--documenter-dark .pagination-previous[disabled],
+  html.theme--documenter-dark .pagination-next[disabled],
+  html.theme--documenter-dark .pagination-link[disabled],
+  html.theme--documenter-dark .pagination-ellipsis[disabled], html.theme--documenter-dark .file-cta[disabled],
+  html.theme--documenter-dark .file-name[disabled], html.theme--documenter-dark .select select[disabled], html.theme--documenter-dark .textarea[disabled], html.theme--documenter-dark .input[disabled], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled], html.theme--documenter-dark .button[disabled], fieldset[disabled] html.theme--documenter-dark .pagination-previous, html.theme--documenter-dark fieldset[disabled] .pagination-previous,
+  fieldset[disabled] html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark fieldset[disabled] .pagination-next,
+  fieldset[disabled] html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark fieldset[disabled] .pagination-link,
+  fieldset[disabled] html.theme--documenter-dark .pagination-ellipsis,
+  html.theme--documenter-dark fieldset[disabled] .pagination-ellipsis, fieldset[disabled] html.theme--documenter-dark .file-cta, html.theme--documenter-dark fieldset[disabled] .file-cta,
+  fieldset[disabled] html.theme--documenter-dark .file-name,
+  html.theme--documenter-dark fieldset[disabled] .file-name, fieldset[disabled] html.theme--documenter-dark .select select, fieldset[disabled] html.theme--documenter-dark .textarea, fieldset[disabled] html.theme--documenter-dark .input, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark fieldset[disabled] .select select, html.theme--documenter-dark .select fieldset[disabled] select, html.theme--documenter-dark fieldset[disabled] .textarea, html.theme--documenter-dark fieldset[disabled] .input, html.theme--documenter-dark fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar fieldset[disabled] form.docs-search > input, fieldset[disabled] html.theme--documenter-dark .button, html.theme--documenter-dark fieldset[disabled] .button {
+    cursor: not-allowed; }
+
+/*! minireset.css v0.0.4 | MIT License | github.com/jgthms/minireset.css */
+html,
+body,
+p,
+ol,
+ul,
+li,
+dl,
+dt,
+dd,
+blockquote,
+figure,
+fieldset,
+legend,
+textarea,
+pre,
+iframe,
+hr,
+h1,
+h2,
+h3,
+h4,
+h5,
+h6 {
+  margin: 0;
+  padding: 0; }
+
+h1,
+h2,
+h3,
+h4,
+h5,
+h6 {
+  font-size: 100%;
+  font-weight: normal; }
+
+ul {
+  list-style: none; }
+
+button,
+input,
+select,
+textarea {
+  margin: 0; }
+
+html {
+  box-sizing: border-box; }
+
+*, *::before, *::after {
+  box-sizing: inherit; }
+
+img,
+embed,
+iframe,
+object,
+video {
+  height: auto;
+  max-width: 100%; }
+
+audio {
+  max-width: 100%; }
+
+iframe {
+  border: 0; }
+
+table {
+  border-collapse: collapse;
+  border-spacing: 0; }
+
+td,
+th {
+  padding: 0; }
+  td:not([align]),
+  th:not([align]) {
+    text-align: left; }
+
+.is-clearfix::after {
+  clear: both;
+  content: " ";
+  display: table; }
+
+.is-pulled-left {
+  float: left !important; }
+
+.is-pulled-right {
+  float: right !important; }
+
+.is-clipped {
+  overflow: hidden !important; }
+
+.is-size-1 {
+  font-size: 3rem !important; }
+
+.is-size-2 {
+  font-size: 2.5rem !important; }
+
+.is-size-3 {
+  font-size: 2rem !important; }
+
+.is-size-4 {
+  font-size: 1.5rem !important; }
+
+.is-size-5 {
+  font-size: 1.25rem !important; }
+
+.is-size-6 {
+  font-size: 15px !important; }
+
+.is-size-7, html.theme--documenter-dark .docstring > section > a.docs-sourcelink {
+  font-size: 0.85em !important; }
+
+@media screen and (max-width: 768px) {
+  .is-size-1-mobile {
+    font-size: 3rem !important; }
+  .is-size-2-mobile {
+    font-size: 2.5rem !important; }
+  .is-size-3-mobile {
+    font-size: 2rem !important; }
+  .is-size-4-mobile {
+    font-size: 1.5rem !important; }
+  .is-size-5-mobile {
+    font-size: 1.25rem !important; }
+  .is-size-6-mobile {
+    font-size: 15px !important; }
+  .is-size-7-mobile {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-size-1-tablet {
+    font-size: 3rem !important; }
+  .is-size-2-tablet {
+    font-size: 2.5rem !important; }
+  .is-size-3-tablet {
+    font-size: 2rem !important; }
+  .is-size-4-tablet {
+    font-size: 1.5rem !important; }
+  .is-size-5-tablet {
+    font-size: 1.25rem !important; }
+  .is-size-6-tablet {
+    font-size: 15px !important; }
+  .is-size-7-tablet {
+    font-size: 0.85em !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-size-1-touch {
+    font-size: 3rem !important; }
+  .is-size-2-touch {
+    font-size: 2.5rem !important; }
+  .is-size-3-touch {
+    font-size: 2rem !important; }
+  .is-size-4-touch {
+    font-size: 1.5rem !important; }
+  .is-size-5-touch {
+    font-size: 1.25rem !important; }
+  .is-size-6-touch {
+    font-size: 15px !important; }
+  .is-size-7-touch {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-size-1-desktop {
+    font-size: 3rem !important; }
+  .is-size-2-desktop {
+    font-size: 2.5rem !important; }
+  .is-size-3-desktop {
+    font-size: 2rem !important; }
+  .is-size-4-desktop {
+    font-size: 1.5rem !important; }
+  .is-size-5-desktop {
+    font-size: 1.25rem !important; }
+  .is-size-6-desktop {
+    font-size: 15px !important; }
+  .is-size-7-desktop {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-size-1-widescreen {
+    font-size: 3rem !important; }
+  .is-size-2-widescreen {
+    font-size: 2.5rem !important; }
+  .is-size-3-widescreen {
+    font-size: 2rem !important; }
+  .is-size-4-widescreen {
+    font-size: 1.5rem !important; }
+  .is-size-5-widescreen {
+    font-size: 1.25rem !important; }
+  .is-size-6-widescreen {
+    font-size: 15px !important; }
+  .is-size-7-widescreen {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-size-1-fullhd {
+    font-size: 3rem !important; }
+  .is-size-2-fullhd {
+    font-size: 2.5rem !important; }
+  .is-size-3-fullhd {
+    font-size: 2rem !important; }
+  .is-size-4-fullhd {
+    font-size: 1.5rem !important; }
+  .is-size-5-fullhd {
+    font-size: 1.25rem !important; }
+  .is-size-6-fullhd {
+    font-size: 15px !important; }
+  .is-size-7-fullhd {
+    font-size: 0.85em !important; } }
+
+.has-text-centered {
+  text-align: center !important; }
+
+.has-text-justified {
+  text-align: justify !important; }
+
+.has-text-left {
+  text-align: left !important; }
+
+.has-text-right {
+  text-align: right !important; }
+
+@media screen and (max-width: 768px) {
+  .has-text-centered-mobile {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-centered-tablet {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-centered-tablet-only {
+    text-align: center !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-centered-touch {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-centered-desktop {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-centered-desktop-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-centered-widescreen {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-centered-widescreen-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-centered-fullhd {
+    text-align: center !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-justified-mobile {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-justified-tablet {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-justified-tablet-only {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-justified-touch {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-justified-desktop {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-justified-desktop-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-justified-widescreen {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-justified-widescreen-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-justified-fullhd {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-left-mobile {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-left-tablet {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-left-tablet-only {
+    text-align: left !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-left-touch {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-left-desktop {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-left-desktop-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-left-widescreen {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-left-widescreen-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-left-fullhd {
+    text-align: left !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-right-mobile {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-right-tablet {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-right-tablet-only {
+    text-align: right !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-right-touch {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-right-desktop {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-right-desktop-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-right-widescreen {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-right-widescreen-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-right-fullhd {
+    text-align: right !important; } }
+
+.is-capitalized {
+  text-transform: capitalize !important; }
+
+.is-lowercase {
+  text-transform: lowercase !important; }
+
+.is-uppercase {
+  text-transform: uppercase !important; }
+
+.is-italic {
+  font-style: italic !important; }
+
+.has-text-white {
+  color: white !important; }
+
+a.has-text-white:hover, a.has-text-white:focus {
+  color: #e6e6e6 !important; }
+
+.has-background-white {
+  background-color: white !important; }
+
+.has-text-black {
+  color: #0a0a0a !important; }
+
+a.has-text-black:hover, a.has-text-black:focus {
+  color: black !important; }
+
+.has-background-black {
+  background-color: #0a0a0a !important; }
+
+.has-text-light {
+  color: #ecf0f1 !important; }
+
+a.has-text-light:hover, a.has-text-light:focus {
+  color: #cfd9db !important; }
+
+.has-background-light {
+  background-color: #ecf0f1 !important; }
+
+.has-text-dark {
+  color: #282f2f !important; }
+
+a.has-text-dark:hover, a.has-text-dark:focus {
+  color: #111414 !important; }
+
+.has-background-dark {
+  background-color: #282f2f !important; }
+
+.has-text-primary {
+  color: #375a7f !important; }
+
+a.has-text-primary:hover, a.has-text-primary:focus {
+  color: #28415b !important; }
+
+.has-background-primary {
+  background-color: #375a7f !important; }
+
+.has-text-link {
+  color: #1abc9c !important; }
+
+a.has-text-link:hover, a.has-text-link:focus {
+  color: #148f77 !important; }
+
+.has-background-link {
+  background-color: #1abc9c !important; }
+
+.has-text-info {
+  color: #024c7d !important; }
+
+a.has-text-info:hover, a.has-text-info:focus {
+  color: #012d4b !important; }
+
+.has-background-info {
+  background-color: #024c7d !important; }
+
+.has-text-success {
+  color: #008438 !important; }
+
+a.has-text-success:hover, a.has-text-success:focus {
+  color: #005122 !important; }
+
+.has-background-success {
+  background-color: #008438 !important; }
+
+.has-text-warning {
+  color: #ad8100 !important; }
+
+a.has-text-warning:hover, a.has-text-warning:focus {
+  color: #7a5b00 !important; }
+
+.has-background-warning {
+  background-color: #ad8100 !important; }
+
+.has-text-danger {
+  color: #9e1b0d !important; }
+
+a.has-text-danger:hover, a.has-text-danger:focus {
+  color: #6f1309 !important; }
+
+.has-background-danger {
+  background-color: #9e1b0d !important; }
+
+.has-text-black-bis {
+  color: #121212 !important; }
+
+.has-background-black-bis {
+  background-color: #121212 !important; }
+
+.has-text-black-ter {
+  color: #242424 !important; }
+
+.has-background-black-ter {
+  background-color: #242424 !important; }
+
+.has-text-grey-darker {
+  color: #282f2f !important; }
+
+.has-background-grey-darker {
+  background-color: #282f2f !important; }
+
+.has-text-grey-dark {
+  color: #343c3d !important; }
+
+.has-background-grey-dark {
+  background-color: #343c3d !important; }
+
+.has-text-grey {
+  color: #5e6d6f !important; }
+
+.has-background-grey {
+  background-color: #5e6d6f !important; }
+
+.has-text-grey-light {
+  color: #8c9b9d !important; }
+
+.has-background-grey-light {
+  background-color: #8c9b9d !important; }
+
+.has-text-grey-lighter {
+  color: #dbdee0 !important; }
+
+.has-background-grey-lighter {
+  background-color: #dbdee0 !important; }
+
+.has-text-white-ter {
+  color: #ecf0f1 !important; }
+
+.has-background-white-ter {
+  background-color: #ecf0f1 !important; }
+
+.has-text-white-bis {
+  color: #fafafa !important; }
+
+.has-background-white-bis {
+  background-color: #fafafa !important; }
+
+.has-text-weight-light {
+  font-weight: 300 !important; }
+
+.has-text-weight-normal {
+  font-weight: 400 !important; }
+
+.has-text-weight-medium {
+  font-weight: 500 !important; }
+
+.has-text-weight-semibold {
+  font-weight: 600 !important; }
+
+.has-text-weight-bold {
+  font-weight: 700 !important; }
+
+.is-family-primary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-secondary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-sans-serif {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-monospace {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-family-code {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-block {
+  display: block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-block-mobile {
+    display: block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-block-tablet {
+    display: block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-block-tablet-only {
+    display: block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-block-touch {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-block-desktop {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-block-desktop-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-block-widescreen {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-block-widescreen-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-block-fullhd {
+    display: block !important; } }
+
+.is-flex {
+  display: flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-flex-mobile {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-flex-tablet {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-flex-tablet-only {
+    display: flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-flex-touch {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-flex-desktop {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-flex-desktop-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-flex-widescreen {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-flex-widescreen-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-flex-fullhd {
+    display: flex !important; } }
+
+.is-inline {
+  display: inline !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-mobile {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-tablet {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-tablet-only {
+    display: inline !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-touch {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-desktop {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-desktop-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-widescreen {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-widescreen-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-fullhd {
+    display: inline !important; } }
+
+.is-inline-block {
+  display: inline-block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-block-mobile {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-block-tablet {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-block-tablet-only {
+    display: inline-block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-block-touch {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-block-desktop {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-block-desktop-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-block-widescreen {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-block-widescreen-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-block-fullhd {
+    display: inline-block !important; } }
+
+.is-inline-flex {
+  display: inline-flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-flex-mobile {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-flex-tablet {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-flex-tablet-only {
+    display: inline-flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-flex-touch {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-flex-desktop {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-flex-desktop-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-flex-widescreen {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-flex-widescreen-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-flex-fullhd {
+    display: inline-flex !important; } }
+
+.is-hidden {
+  display: none !important; }
+
+.is-sr-only {
+  border: none !important;
+  clip: rect(0, 0, 0, 0) !important;
+  height: 0.01em !important;
+  overflow: hidden !important;
+  padding: 0 !important;
+  position: absolute !important;
+  white-space: nowrap !important;
+  width: 0.01em !important; }
+
+@media screen and (max-width: 768px) {
+  .is-hidden-mobile {
+    display: none !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-hidden-tablet {
+    display: none !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-hidden-tablet-only {
+    display: none !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-hidden-touch {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-hidden-desktop {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-hidden-desktop-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-hidden-widescreen {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-hidden-widescreen-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-hidden-fullhd {
+    display: none !important; } }
+
+.is-invisible {
+  visibility: hidden !important; }
+
+@media screen and (max-width: 768px) {
+  .is-invisible-mobile {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-invisible-tablet {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-invisible-tablet-only {
+    visibility: hidden !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-invisible-touch {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-invisible-desktop {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-invisible-desktop-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-invisible-widescreen {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-invisible-widescreen-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-invisible-fullhd {
+    visibility: hidden !important; } }
+
+.is-marginless {
+  margin: 0 !important; }
+
+.is-paddingless {
+  padding: 0 !important; }
+
+.is-radiusless {
+  border-radius: 0 !important; }
+
+.is-shadowless {
+  box-shadow: none !important; }
+
+.is-relative {
+  position: relative !important; }
+
+html.theme--documenter-dark {
+  /* This file contain the overall layout.
+ *
+ * The main container is <div> that is identified by id #documenter.
+ */
+  /*!
+  Theme: a11y-dark
+  Author: @ericwbailey
+  Maintainer: @ericwbailey
+
+  Based on the Tomorrow Night Eighties theme: https://github.com/isagalaev/highlight.js/blob/master/src/styles/tomorrow-night-eighties.css
+*/
+  /* Comment */
+  /* Red */
+  /* Orange */
+  /* Yellow */
+  /* Green */
+  /* Blue */
+  /* Purple */ }
+  html.theme--documenter-dark html {
+    background-color: #1f2424;
+    font-size: 16px;
+    -moz-osx-font-smoothing: grayscale;
+    -webkit-font-smoothing: antialiased;
+    min-width: 300px;
+    overflow-x: auto;
+    overflow-y: scroll;
+    text-rendering: optimizeLegibility;
+    text-size-adjust: 100%; }
+  html.theme--documenter-dark article,
+  html.theme--documenter-dark aside,
+  html.theme--documenter-dark figure,
+  html.theme--documenter-dark footer,
+  html.theme--documenter-dark header,
+  html.theme--documenter-dark hgroup,
+  html.theme--documenter-dark section {
+    display: block; }
+  html.theme--documenter-dark body,
+  html.theme--documenter-dark button,
+  html.theme--documenter-dark input,
+  html.theme--documenter-dark select,
+  html.theme--documenter-dark textarea {
+    font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif; }
+  html.theme--documenter-dark code,
+  html.theme--documenter-dark pre {
+    -moz-osx-font-smoothing: auto;
+    -webkit-font-smoothing: auto;
+    font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace; }
+  html.theme--documenter-dark body {
+    color: #fff;
+    font-size: 1em;
+    font-weight: 400;
+    line-height: 1.5; }
+  html.theme--documenter-dark a {
+    color: #1abc9c;
+    cursor: pointer;
+    text-decoration: none; }
+    html.theme--documenter-dark a strong {
+      color: currentColor; }
+    html.theme--documenter-dark a:hover {
+      color: #1dd2af; }
+  html.theme--documenter-dark code {
+    background-color: rgba(255, 255, 255, 0.05);
+    color: #ececec;
+    font-size: 0.875em;
+    font-weight: normal;
+    padding: 0.1em; }
+  html.theme--documenter-dark hr {
+    background-color: #282f2f;
+    border: none;
+    display: block;
+    height: 2px;
+    margin: 1.5rem 0; }
+  html.theme--documenter-dark img {
+    height: auto;
+    max-width: 100%; }
+  html.theme--documenter-dark input[type="checkbox"],
+  html.theme--documenter-dark input[type="radio"] {
+    vertical-align: baseline; }
+  html.theme--documenter-dark small {
+    font-size: 0.875em; }
+  html.theme--documenter-dark span {
+    font-style: inherit;
+    font-weight: inherit; }
+  html.theme--documenter-dark strong {
+    color: #f2f2f2;
+    font-weight: 700; }
+  html.theme--documenter-dark fieldset {
+    border: none; }
+  html.theme--documenter-dark pre {
+    -webkit-overflow-scrolling: touch;
+    background-color: #282f2f;
+    color: #fff;
+    font-size: 0.875em;
+    overflow-x: auto;
+    padding: 1.25rem 1.5rem;
+    white-space: pre;
+    word-wrap: normal; }
+    html.theme--documenter-dark pre code {
+      background-color: transparent;
+      color: currentColor;
+      font-size: 1em;
+      padding: 0; }
+  html.theme--documenter-dark table td,
+  html.theme--documenter-dark table th {
+    vertical-align: top; }
+    html.theme--documenter-dark table td:not([align]),
+    html.theme--documenter-dark table th:not([align]) {
+      text-align: left; }
+  html.theme--documenter-dark table th {
+    color: #f2f2f2; }
+  html.theme--documenter-dark .box {
+    background-color: #343c3d;
+    border-radius: 8px;
+    box-shadow: none;
+    color: #fff;
+    display: block;
+    padding: 1.25rem; }
+  html.theme--documenter-dark a.box:hover, html.theme--documenter-dark a.box:focus {
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px #1abc9c; }
+  html.theme--documenter-dark a.box:active {
+    box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2), 0 0 0 1px #1abc9c; }
+  html.theme--documenter-dark .button {
+    background-color: #282f2f;
+    border-color: #4c5759;
+    border-width: 1px;
+    color: #375a7f;
+    cursor: pointer;
+    justify-content: center;
+    padding-bottom: calc(0.375em - 1px);
+    padding-left: 0.75em;
+    padding-right: 0.75em;
+    padding-top: calc(0.375em - 1px);
+    text-align: center;
+    white-space: nowrap; }
+    html.theme--documenter-dark .button strong {
+      color: inherit; }
+    html.theme--documenter-dark .button .icon, html.theme--documenter-dark .button .icon.is-small, html.theme--documenter-dark .button #documenter .docs-sidebar form.docs-search > input.icon, html.theme--documenter-dark #documenter .docs-sidebar .button form.docs-search > input.icon, html.theme--documenter-dark .button .icon.is-medium, html.theme--documenter-dark .button .icon.is-large {
+      height: 1.5em;
+      width: 1.5em; }
+    html.theme--documenter-dark .button .icon:first-child:not(:last-child) {
+      margin-left: calc(-0.375em - 1px);
+      margin-right: 0.1875em; }
+    html.theme--documenter-dark .button .icon:last-child:not(:first-child) {
+      margin-left: 0.1875em;
+      margin-right: calc(-0.375em - 1px); }
+    html.theme--documenter-dark .button .icon:first-child:last-child {
+      margin-left: calc(-0.375em - 1px);
+      margin-right: calc(-0.375em - 1px); }
+    html.theme--documenter-dark .button:hover, html.theme--documenter-dark .button.is-hovered {
+      border-color: #8c9b9d;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .button:focus, html.theme--documenter-dark .button.is-focused {
+      border-color: #8c9b9d;
+      color: #17a689; }
+      html.theme--documenter-dark .button:focus:not(:active), html.theme--documenter-dark .button.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .button:active, html.theme--documenter-dark .button.is-active {
+      border-color: #343c3d;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .button.is-text {
+      background-color: transparent;
+      border-color: transparent;
+      color: #fff;
+      text-decoration: underline; }
+      html.theme--documenter-dark .button.is-text:hover, html.theme--documenter-dark .button.is-text.is-hovered, html.theme--documenter-dark .button.is-text:focus, html.theme--documenter-dark .button.is-text.is-focused {
+        background-color: #282f2f;
+        color: #f2f2f2; }
+      html.theme--documenter-dark .button.is-text:active, html.theme--documenter-dark .button.is-text.is-active {
+        background-color: #1d2122;
+        color: #f2f2f2; }
+      html.theme--documenter-dark .button.is-text[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-text {
+        background-color: transparent;
+        border-color: transparent;
+        box-shadow: none; }
+    html.theme--documenter-dark .button.is-white {
+      background-color: white;
+      border-color: transparent;
+      color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-white:hover, html.theme--documenter-dark .button.is-white.is-hovered {
+        background-color: #f9f9f9;
+        border-color: transparent;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-white:focus, html.theme--documenter-dark .button.is-white.is-focused {
+        border-color: transparent;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-white:focus:not(:active), html.theme--documenter-dark .button.is-white.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+      html.theme--documenter-dark .button.is-white:active, html.theme--documenter-dark .button.is-white.is-active {
+        background-color: #f2f2f2;
+        border-color: transparent;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-white[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white {
+        background-color: white;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-white.is-inverted {
+        background-color: #0a0a0a;
+        color: white; }
+        html.theme--documenter-dark .button.is-white.is-inverted:hover, html.theme--documenter-dark .button.is-white.is-inverted.is-hovered {
+          background-color: black; }
+        html.theme--documenter-dark .button.is-white.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted {
+          background-color: #0a0a0a;
+          border-color: transparent;
+          box-shadow: none;
+          color: white; }
+      html.theme--documenter-dark .button.is-white.is-loading::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      html.theme--documenter-dark .button.is-white.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        color: white; }
+        html.theme--documenter-dark .button.is-white.is-outlined:hover, html.theme--documenter-dark .button.is-white.is-outlined.is-hovered, html.theme--documenter-dark .button.is-white.is-outlined:focus, html.theme--documenter-dark .button.is-white.is-outlined.is-focused {
+          background-color: white;
+          border-color: white;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-white.is-outlined.is-loading::after {
+          border-color: transparent transparent white white !important; }
+        html.theme--documenter-dark .button.is-white.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+        html.theme--documenter-dark .button.is-white.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-outlined {
+          background-color: transparent;
+          border-color: white;
+          box-shadow: none;
+          color: white; }
+      html.theme--documenter-dark .button.is-white.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-focused {
+          background-color: #0a0a0a;
+          color: white; }
+        html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent white white !important; }
+        html.theme--documenter-dark .button.is-white.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #0a0a0a;
+          box-shadow: none;
+          color: #0a0a0a; }
+    html.theme--documenter-dark .button.is-black {
+      background-color: #0a0a0a;
+      border-color: transparent;
+      color: white; }
+      html.theme--documenter-dark .button.is-black:hover, html.theme--documenter-dark .button.is-black.is-hovered {
+        background-color: #040404;
+        border-color: transparent;
+        color: white; }
+      html.theme--documenter-dark .button.is-black:focus, html.theme--documenter-dark .button.is-black.is-focused {
+        border-color: transparent;
+        color: white; }
+        html.theme--documenter-dark .button.is-black:focus:not(:active), html.theme--documenter-dark .button.is-black.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+      html.theme--documenter-dark .button.is-black:active, html.theme--documenter-dark .button.is-black.is-active {
+        background-color: black;
+        border-color: transparent;
+        color: white; }
+      html.theme--documenter-dark .button.is-black[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black {
+        background-color: #0a0a0a;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-black.is-inverted {
+        background-color: white;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-black.is-inverted:hover, html.theme--documenter-dark .button.is-black.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-black.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted {
+          background-color: white;
+          border-color: transparent;
+          box-shadow: none;
+          color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-black.is-loading::after {
+        border-color: transparent transparent white white !important; }
+      html.theme--documenter-dark .button.is-black.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-black.is-outlined:hover, html.theme--documenter-dark .button.is-black.is-outlined.is-hovered, html.theme--documenter-dark .button.is-black.is-outlined:focus, html.theme--documenter-dark .button.is-black.is-outlined.is-focused {
+          background-color: #0a0a0a;
+          border-color: #0a0a0a;
+          color: white; }
+        html.theme--documenter-dark .button.is-black.is-outlined.is-loading::after {
+          border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+        html.theme--documenter-dark .button.is-black.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent white white !important; }
+        html.theme--documenter-dark .button.is-black.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-outlined {
+          background-color: transparent;
+          border-color: #0a0a0a;
+          box-shadow: none;
+          color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-black.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        color: white; }
+        html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-focused {
+          background-color: white;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+        html.theme--documenter-dark .button.is-black.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: white;
+          box-shadow: none;
+          color: white; }
+    html.theme--documenter-dark .button.is-light {
+      background-color: #ecf0f1;
+      border-color: transparent;
+      color: #282f2f; }
+      html.theme--documenter-dark .button.is-light:hover, html.theme--documenter-dark .button.is-light.is-hovered {
+        background-color: #e5eaec;
+        border-color: transparent;
+        color: #282f2f; }
+      html.theme--documenter-dark .button.is-light:focus, html.theme--documenter-dark .button.is-light.is-focused {
+        border-color: transparent;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-light:focus:not(:active), html.theme--documenter-dark .button.is-light.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); }
+      html.theme--documenter-dark .button.is-light:active, html.theme--documenter-dark .button.is-light.is-active {
+        background-color: #dde4e6;
+        border-color: transparent;
+        color: #282f2f; }
+      html.theme--documenter-dark .button.is-light[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light {
+        background-color: #ecf0f1;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-light.is-inverted {
+        background-color: #282f2f;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-light.is-inverted:hover, html.theme--documenter-dark .button.is-light.is-inverted.is-hovered {
+          background-color: #1d2122; }
+        html.theme--documenter-dark .button.is-light.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted {
+          background-color: #282f2f;
+          border-color: transparent;
+          box-shadow: none;
+          color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-light.is-loading::after {
+        border-color: transparent transparent #282f2f #282f2f !important; }
+      html.theme--documenter-dark .button.is-light.is-outlined {
+        background-color: transparent;
+        border-color: #ecf0f1;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-light.is-outlined:hover, html.theme--documenter-dark .button.is-light.is-outlined.is-hovered, html.theme--documenter-dark .button.is-light.is-outlined:focus, html.theme--documenter-dark .button.is-light.is-outlined.is-focused {
+          background-color: #ecf0f1;
+          border-color: #ecf0f1;
+          color: #282f2f; }
+        html.theme--documenter-dark .button.is-light.is-outlined.is-loading::after {
+          border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+        html.theme--documenter-dark .button.is-light.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #282f2f #282f2f !important; }
+        html.theme--documenter-dark .button.is-light.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-outlined {
+          background-color: transparent;
+          border-color: #ecf0f1;
+          box-shadow: none;
+          color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-light.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #282f2f;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused {
+          background-color: #282f2f;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+        html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #282f2f;
+          box-shadow: none;
+          color: #282f2f; }
+    html.theme--documenter-dark .button.is-dark, html.theme--documenter-dark .content kbd.button {
+      background-color: #282f2f;
+      border-color: transparent;
+      color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-dark:hover, html.theme--documenter-dark .content kbd.button:hover, html.theme--documenter-dark .button.is-dark.is-hovered, html.theme--documenter-dark .content kbd.button.is-hovered {
+        background-color: #232829;
+        border-color: transparent;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-dark:focus, html.theme--documenter-dark .content kbd.button:focus, html.theme--documenter-dark .button.is-dark.is-focused, html.theme--documenter-dark .content kbd.button.is-focused {
+        border-color: transparent;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-dark:focus:not(:active), html.theme--documenter-dark .content kbd.button:focus:not(:active), html.theme--documenter-dark .button.is-dark.is-focused:not(:active), html.theme--documenter-dark .content kbd.button.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); }
+      html.theme--documenter-dark .button.is-dark:active, html.theme--documenter-dark .content kbd.button:active, html.theme--documenter-dark .button.is-dark.is-active, html.theme--documenter-dark .content kbd.button.is-active {
+        background-color: #1d2122;
+        border-color: transparent;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-dark[disabled], html.theme--documenter-dark .content kbd.button[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark, fieldset[disabled] html.theme--documenter-dark .content kbd.button {
+        background-color: #282f2f;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-dark.is-inverted, html.theme--documenter-dark .content kbd.button.is-inverted {
+        background-color: #ecf0f1;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-dark.is-inverted:hover, html.theme--documenter-dark .content kbd.button.is-inverted:hover, html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered, html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered {
+          background-color: #dde4e6; }
+        html.theme--documenter-dark .button.is-dark.is-inverted[disabled], html.theme--documenter-dark .content kbd.button.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted {
+          background-color: #ecf0f1;
+          border-color: transparent;
+          box-shadow: none;
+          color: #282f2f; }
+      html.theme--documenter-dark .button.is-dark.is-loading::after, html.theme--documenter-dark .content kbd.button.is-loading::after {
+        border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+      html.theme--documenter-dark .button.is-dark.is-outlined, html.theme--documenter-dark .content kbd.button.is-outlined {
+        background-color: transparent;
+        border-color: #282f2f;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-dark.is-outlined:hover, html.theme--documenter-dark .content kbd.button.is-outlined:hover, html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered, html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered, html.theme--documenter-dark .button.is-dark.is-outlined:focus, html.theme--documenter-dark .content kbd.button.is-outlined:focus, html.theme--documenter-dark .button.is-dark.is-outlined.is-focused, html.theme--documenter-dark .content kbd.button.is-outlined.is-focused {
+          background-color: #282f2f;
+          border-color: #282f2f;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after {
+          border-color: transparent transparent #282f2f #282f2f !important; }
+        html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+        html.theme--documenter-dark .button.is-dark.is-outlined[disabled], html.theme--documenter-dark .content kbd.button.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined {
+          background-color: transparent;
+          border-color: #282f2f;
+          box-shadow: none;
+          color: #282f2f; }
+      html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #ecf0f1;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused {
+          background-color: #ecf0f1;
+          color: #282f2f; }
+        html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #282f2f #282f2f !important; }
+        html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled], html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #ecf0f1;
+          box-shadow: none;
+          color: #ecf0f1; }
+    html.theme--documenter-dark .button.is-primary, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink {
+      background-color: #375a7f;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-primary:hover, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-hovered.docs-sourcelink {
+        background-color: #335476;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-primary:focus, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-primary:focus:not(:active), html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus:not(:active), html.theme--documenter-dark .button.is-primary.is-focused:not(:active), html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); }
+      html.theme--documenter-dark .button.is-primary:active, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:active, html.theme--documenter-dark .button.is-primary.is-active, html.theme--documenter-dark .docstring > section > a.button.is-active.docs-sourcelink {
+        background-color: #2f4d6d;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-primary[disabled], html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink {
+        background-color: #375a7f;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-primary.is-inverted, html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink {
+        background-color: #fff;
+        color: #375a7f; }
+        html.theme--documenter-dark .button.is-primary.is-inverted:hover, html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-inverted.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-hovered.docs-sourcelink {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-primary.is-inverted[disabled], html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #375a7f; }
+      html.theme--documenter-dark .button.is-primary.is-loading::after, html.theme--documenter-dark .docstring > section > a.button.is-loading.docs-sourcelink::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-primary.is-outlined, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #375a7f;
+        color: #375a7f; }
+        html.theme--documenter-dark .button.is-primary.is-outlined:hover, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-outlined.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-outlined:focus, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-outlined.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-focused.docs-sourcelink {
+          background-color: #375a7f;
+          border-color: #375a7f;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-primary.is-outlined.is-loading::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink::after {
+          border-color: transparent transparent #375a7f #375a7f !important; }
+        html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:hover::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:hover::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:focus::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:focus::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-primary.is-outlined[disabled], html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-outlined, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink {
+          background-color: transparent;
+          border-color: #375a7f;
+          box-shadow: none;
+          color: #375a7f; }
+      html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined:hover, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined:focus, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-focused.docs-sourcelink {
+          background-color: #fff;
+          color: #375a7f; }
+        html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+          border-color: transparent transparent #375a7f #375a7f !important; }
+        html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined[disabled], html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-link {
+      background-color: #1abc9c;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-link:hover, html.theme--documenter-dark .button.is-link.is-hovered {
+        background-color: #18b193;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-link:focus, html.theme--documenter-dark .button.is-link.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-link:focus:not(:active), html.theme--documenter-dark .button.is-link.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+      html.theme--documenter-dark .button.is-link:active, html.theme--documenter-dark .button.is-link.is-active {
+        background-color: #17a689;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-link[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link {
+        background-color: #1abc9c;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-link.is-inverted {
+        background-color: #fff;
+        color: #1abc9c; }
+        html.theme--documenter-dark .button.is-link.is-inverted:hover, html.theme--documenter-dark .button.is-link.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-link.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #1abc9c; }
+      html.theme--documenter-dark .button.is-link.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-link.is-outlined {
+        background-color: transparent;
+        border-color: #1abc9c;
+        color: #1abc9c; }
+        html.theme--documenter-dark .button.is-link.is-outlined:hover, html.theme--documenter-dark .button.is-link.is-outlined.is-hovered, html.theme--documenter-dark .button.is-link.is-outlined:focus, html.theme--documenter-dark .button.is-link.is-outlined.is-focused {
+          background-color: #1abc9c;
+          border-color: #1abc9c;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-link.is-outlined.is-loading::after {
+          border-color: transparent transparent #1abc9c #1abc9c !important; }
+        html.theme--documenter-dark .button.is-link.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-link.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-outlined {
+          background-color: transparent;
+          border-color: #1abc9c;
+          box-shadow: none;
+          color: #1abc9c; }
+      html.theme--documenter-dark .button.is-link.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #1abc9c; }
+        html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #1abc9c #1abc9c !important; }
+        html.theme--documenter-dark .button.is-link.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-info {
+      background-color: #024c7d;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-info:hover, html.theme--documenter-dark .button.is-info.is-hovered {
+        background-color: #024470;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-info:focus, html.theme--documenter-dark .button.is-info.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-info:focus:not(:active), html.theme--documenter-dark .button.is-info.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); }
+      html.theme--documenter-dark .button.is-info:active, html.theme--documenter-dark .button.is-info.is-active {
+        background-color: #023d64;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-info[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info {
+        background-color: #024c7d;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-info.is-inverted {
+        background-color: #fff;
+        color: #024c7d; }
+        html.theme--documenter-dark .button.is-info.is-inverted:hover, html.theme--documenter-dark .button.is-info.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-info.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #024c7d; }
+      html.theme--documenter-dark .button.is-info.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-info.is-outlined {
+        background-color: transparent;
+        border-color: #024c7d;
+        color: #024c7d; }
+        html.theme--documenter-dark .button.is-info.is-outlined:hover, html.theme--documenter-dark .button.is-info.is-outlined.is-hovered, html.theme--documenter-dark .button.is-info.is-outlined:focus, html.theme--documenter-dark .button.is-info.is-outlined.is-focused {
+          background-color: #024c7d;
+          border-color: #024c7d;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-info.is-outlined.is-loading::after {
+          border-color: transparent transparent #024c7d #024c7d !important; }
+        html.theme--documenter-dark .button.is-info.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-info.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-outlined {
+          background-color: transparent;
+          border-color: #024c7d;
+          box-shadow: none;
+          color: #024c7d; }
+      html.theme--documenter-dark .button.is-info.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #024c7d; }
+        html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #024c7d #024c7d !important; }
+        html.theme--documenter-dark .button.is-info.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-success {
+      background-color: #008438;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-success:hover, html.theme--documenter-dark .button.is-success.is-hovered {
+        background-color: #007733;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-success:focus, html.theme--documenter-dark .button.is-success.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-success:focus:not(:active), html.theme--documenter-dark .button.is-success.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); }
+      html.theme--documenter-dark .button.is-success:active, html.theme--documenter-dark .button.is-success.is-active {
+        background-color: #006b2d;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-success[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success {
+        background-color: #008438;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-success.is-inverted {
+        background-color: #fff;
+        color: #008438; }
+        html.theme--documenter-dark .button.is-success.is-inverted:hover, html.theme--documenter-dark .button.is-success.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-success.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #008438; }
+      html.theme--documenter-dark .button.is-success.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-success.is-outlined {
+        background-color: transparent;
+        border-color: #008438;
+        color: #008438; }
+        html.theme--documenter-dark .button.is-success.is-outlined:hover, html.theme--documenter-dark .button.is-success.is-outlined.is-hovered, html.theme--documenter-dark .button.is-success.is-outlined:focus, html.theme--documenter-dark .button.is-success.is-outlined.is-focused {
+          background-color: #008438;
+          border-color: #008438;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-success.is-outlined.is-loading::after {
+          border-color: transparent transparent #008438 #008438 !important; }
+        html.theme--documenter-dark .button.is-success.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-success.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-outlined {
+          background-color: transparent;
+          border-color: #008438;
+          box-shadow: none;
+          color: #008438; }
+      html.theme--documenter-dark .button.is-success.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #008438; }
+        html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #008438 #008438 !important; }
+        html.theme--documenter-dark .button.is-success.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-warning {
+      background-color: #ad8100;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-warning:hover, html.theme--documenter-dark .button.is-warning.is-hovered {
+        background-color: #a07700;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-warning:focus, html.theme--documenter-dark .button.is-warning.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-warning:focus:not(:active), html.theme--documenter-dark .button.is-warning.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); }
+      html.theme--documenter-dark .button.is-warning:active, html.theme--documenter-dark .button.is-warning.is-active {
+        background-color: #946e00;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-warning[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning {
+        background-color: #ad8100;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-warning.is-inverted {
+        background-color: #fff;
+        color: #ad8100; }
+        html.theme--documenter-dark .button.is-warning.is-inverted:hover, html.theme--documenter-dark .button.is-warning.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-warning.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #ad8100; }
+      html.theme--documenter-dark .button.is-warning.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-warning.is-outlined {
+        background-color: transparent;
+        border-color: #ad8100;
+        color: #ad8100; }
+        html.theme--documenter-dark .button.is-warning.is-outlined:hover, html.theme--documenter-dark .button.is-warning.is-outlined.is-hovered, html.theme--documenter-dark .button.is-warning.is-outlined:focus, html.theme--documenter-dark .button.is-warning.is-outlined.is-focused {
+          background-color: #ad8100;
+          border-color: #ad8100;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-warning.is-outlined.is-loading::after {
+          border-color: transparent transparent #ad8100 #ad8100 !important; }
+        html.theme--documenter-dark .button.is-warning.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-warning.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-outlined {
+          background-color: transparent;
+          border-color: #ad8100;
+          box-shadow: none;
+          color: #ad8100; }
+      html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #ad8100; }
+        html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #ad8100 #ad8100 !important; }
+        html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-danger {
+      background-color: #9e1b0d;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-danger:hover, html.theme--documenter-dark .button.is-danger.is-hovered {
+        background-color: #92190c;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-danger:focus, html.theme--documenter-dark .button.is-danger.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-danger:focus:not(:active), html.theme--documenter-dark .button.is-danger.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); }
+      html.theme--documenter-dark .button.is-danger:active, html.theme--documenter-dark .button.is-danger.is-active {
+        background-color: #86170b;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-danger[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger {
+        background-color: #9e1b0d;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-danger.is-inverted {
+        background-color: #fff;
+        color: #9e1b0d; }
+        html.theme--documenter-dark .button.is-danger.is-inverted:hover, html.theme--documenter-dark .button.is-danger.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-danger.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #9e1b0d; }
+      html.theme--documenter-dark .button.is-danger.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-danger.is-outlined {
+        background-color: transparent;
+        border-color: #9e1b0d;
+        color: #9e1b0d; }
+        html.theme--documenter-dark .button.is-danger.is-outlined:hover, html.theme--documenter-dark .button.is-danger.is-outlined.is-hovered, html.theme--documenter-dark .button.is-danger.is-outlined:focus, html.theme--documenter-dark .button.is-danger.is-outlined.is-focused {
+          background-color: #9e1b0d;
+          border-color: #9e1b0d;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-danger.is-outlined.is-loading::after {
+          border-color: transparent transparent #9e1b0d #9e1b0d !important; }
+        html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-danger.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-outlined {
+          background-color: transparent;
+          border-color: #9e1b0d;
+          box-shadow: none;
+          color: #9e1b0d; }
+      html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #9e1b0d; }
+        html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #9e1b0d #9e1b0d !important; }
+        html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.button {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .button.is-normal {
+      font-size: 15px; }
+    html.theme--documenter-dark .button.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .button.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .button[disabled], fieldset[disabled] html.theme--documenter-dark .button {
+      background-color: #8c9b9d;
+      border-color: #dbdee0;
+      box-shadow: none;
+      opacity: 0.5; }
+    html.theme--documenter-dark .button.is-fullwidth {
+      display: flex;
+      width: 100%; }
+    html.theme--documenter-dark .button.is-loading {
+      color: transparent !important;
+      pointer-events: none; }
+      html.theme--documenter-dark .button.is-loading::after {
+        position: absolute;
+        left: calc(50% - (1em / 2));
+        top: calc(50% - (1em / 2));
+        position: absolute !important; }
+    html.theme--documenter-dark .button.is-static {
+      background-color: #282f2f;
+      border-color: #5e6d6f;
+      color: #dbdee0;
+      box-shadow: none;
+      pointer-events: none; }
+    html.theme--documenter-dark .button.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.button {
+      border-radius: 290486px;
+      padding-left: 1em;
+      padding-right: 1em; }
+  html.theme--documenter-dark .buttons {
+    align-items: center;
+    display: flex;
+    flex-wrap: wrap;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .buttons .button {
+      margin-bottom: 0.5rem; }
+      html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth) {
+        margin-right: 0.5rem; }
+    html.theme--documenter-dark .buttons:last-child {
+      margin-bottom: -0.5rem; }
+    html.theme--documenter-dark .buttons:not(:last-child) {
+      margin-bottom: 1rem; }
+    html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large) {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large) {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium) {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .buttons.has-addons .button:not(:first-child) {
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    html.theme--documenter-dark .buttons.has-addons .button:not(:last-child) {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0;
+      margin-right: -1px; }
+    html.theme--documenter-dark .buttons.has-addons .button:last-child {
+      margin-right: 0; }
+    html.theme--documenter-dark .buttons.has-addons .button:hover, html.theme--documenter-dark .buttons.has-addons .button.is-hovered {
+      z-index: 2; }
+    html.theme--documenter-dark .buttons.has-addons .button:focus, html.theme--documenter-dark .buttons.has-addons .button.is-focused, html.theme--documenter-dark .buttons.has-addons .button:active, html.theme--documenter-dark .buttons.has-addons .button.is-active, html.theme--documenter-dark .buttons.has-addons .button.is-selected {
+      z-index: 3; }
+      html.theme--documenter-dark .buttons.has-addons .button:focus:hover, html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover, html.theme--documenter-dark .buttons.has-addons .button:active:hover, html.theme--documenter-dark .buttons.has-addons .button.is-active:hover, html.theme--documenter-dark .buttons.has-addons .button.is-selected:hover {
+        z-index: 4; }
+    html.theme--documenter-dark .buttons.has-addons .button.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .buttons.is-centered {
+      justify-content: center; }
+      html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth) {
+        margin-left: 0.25rem;
+        margin-right: 0.25rem; }
+    html.theme--documenter-dark .buttons.is-right {
+      justify-content: flex-end; }
+      html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth) {
+        margin-left: 0.25rem;
+        margin-right: 0.25rem; }
+  html.theme--documenter-dark .container {
+    flex-grow: 1;
+    margin: 0 auto;
+    position: relative;
+    width: auto; }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .container {
+        max-width: 992px; }
+        html.theme--documenter-dark .container.is-fluid {
+          margin-left: 32px;
+          margin-right: 32px;
+          max-width: none; } }
+    @media screen and (max-width: 1215px) {
+      html.theme--documenter-dark .container.is-widescreen {
+        max-width: 1152px; } }
+    @media screen and (max-width: 1407px) {
+      html.theme--documenter-dark .container.is-fullhd {
+        max-width: 1344px; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .container {
+        max-width: 1152px; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .container {
+        max-width: 1344px; } }
+  html.theme--documenter-dark .content li + li {
+    margin-top: 0.25em; }
+  html.theme--documenter-dark .content p:not(:last-child),
+  html.theme--documenter-dark .content dl:not(:last-child),
+  html.theme--documenter-dark .content ol:not(:last-child),
+  html.theme--documenter-dark .content ul:not(:last-child),
+  html.theme--documenter-dark .content blockquote:not(:last-child),
+  html.theme--documenter-dark .content pre:not(:last-child),
+  html.theme--documenter-dark .content table:not(:last-child) {
+    margin-bottom: 1em; }
+  html.theme--documenter-dark .content h1,
+  html.theme--documenter-dark .content h2,
+  html.theme--documenter-dark .content h3,
+  html.theme--documenter-dark .content h4,
+  html.theme--documenter-dark .content h5,
+  html.theme--documenter-dark .content h6 {
+    color: #f2f2f2;
+    font-weight: 600;
+    line-height: 1.125; }
+  html.theme--documenter-dark .content h1 {
+    font-size: 2em;
+    margin-bottom: 0.5em; }
+    html.theme--documenter-dark .content h1:not(:first-child) {
+      margin-top: 1em; }
+  html.theme--documenter-dark .content h2 {
+    font-size: 1.75em;
+    margin-bottom: 0.5714em; }
+    html.theme--documenter-dark .content h2:not(:first-child) {
+      margin-top: 1.1428em; }
+  html.theme--documenter-dark .content h3 {
+    font-size: 1.5em;
+    margin-bottom: 0.6666em; }
+    html.theme--documenter-dark .content h3:not(:first-child) {
+      margin-top: 1.3333em; }
+  html.theme--documenter-dark .content h4 {
+    font-size: 1.25em;
+    margin-bottom: 0.8em; }
+  html.theme--documenter-dark .content h5 {
+    font-size: 1.125em;
+    margin-bottom: 0.8888em; }
+  html.theme--documenter-dark .content h6 {
+    font-size: 1em;
+    margin-bottom: 1em; }
+  html.theme--documenter-dark .content blockquote {
+    background-color: #282f2f;
+    border-left: 5px solid #5e6d6f;
+    padding: 1.25em 1.5em; }
+  html.theme--documenter-dark .content ol {
+    list-style-position: outside;
+    margin-left: 2em;
+    margin-top: 1em; }
+    html.theme--documenter-dark .content ol:not([type]) {
+      list-style-type: decimal; }
+      html.theme--documenter-dark .content ol.is-lower-alpha:not([type]) {
+        list-style-type: lower-alpha; }
+      html.theme--documenter-dark .content ol.is-lower-roman:not([type]) {
+        list-style-type: lower-roman; }
+      html.theme--documenter-dark .content ol.is-upper-alpha:not([type]) {
+        list-style-type: upper-alpha; }
+      html.theme--documenter-dark .content ol.is-upper-roman:not([type]) {
+        list-style-type: upper-roman; }
+  html.theme--documenter-dark .content ul {
+    list-style: disc outside;
+    margin-left: 2em;
+    margin-top: 1em; }
+    html.theme--documenter-dark .content ul ul {
+      list-style-type: circle;
+      margin-top: 0.5em; }
+      html.theme--documenter-dark .content ul ul ul {
+        list-style-type: square; }
+  html.theme--documenter-dark .content dd {
+    margin-left: 2em; }
+  html.theme--documenter-dark .content figure {
+    margin-left: 2em;
+    margin-right: 2em;
+    text-align: center; }
+    html.theme--documenter-dark .content figure:not(:first-child) {
+      margin-top: 2em; }
+    html.theme--documenter-dark .content figure:not(:last-child) {
+      margin-bottom: 2em; }
+    html.theme--documenter-dark .content figure img {
+      display: inline-block; }
+    html.theme--documenter-dark .content figure figcaption {
+      font-style: italic; }
+  html.theme--documenter-dark .content pre {
+    -webkit-overflow-scrolling: touch;
+    overflow-x: auto;
+    padding: 0;
+    white-space: pre;
+    word-wrap: normal; }
+  html.theme--documenter-dark .content sup,
+  html.theme--documenter-dark .content sub {
+    font-size: 75%; }
+  html.theme--documenter-dark .content table {
+    width: 100%; }
+    html.theme--documenter-dark .content table td,
+    html.theme--documenter-dark .content table th {
+      border: 1px solid #5e6d6f;
+      border-width: 0 0 1px;
+      padding: 0.5em 0.75em;
+      vertical-align: top; }
+    html.theme--documenter-dark .content table th {
+      color: #f2f2f2; }
+      html.theme--documenter-dark .content table th:not([align]) {
+        text-align: left; }
+    html.theme--documenter-dark .content table thead td,
+    html.theme--documenter-dark .content table thead th {
+      border-width: 0 0 2px;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .content table tfoot td,
+    html.theme--documenter-dark .content table tfoot th {
+      border-width: 2px 0 0;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .content table tbody tr:last-child td,
+    html.theme--documenter-dark .content table tbody tr:last-child th {
+      border-bottom-width: 0; }
+  html.theme--documenter-dark .content .tabs li + li {
+    margin-top: 0; }
+  html.theme--documenter-dark .content.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.content {
+    font-size: 0.85em; }
+  html.theme--documenter-dark .content.is-medium {
+    font-size: 1.25rem; }
+  html.theme--documenter-dark .content.is-large {
+    font-size: 1.5rem; }
+  html.theme--documenter-dark .icon {
+    align-items: center;
+    display: inline-flex;
+    justify-content: center;
+    height: 1.5rem;
+    width: 1.5rem; }
+    html.theme--documenter-dark .icon.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.icon {
+      height: 1rem;
+      width: 1rem; }
+    html.theme--documenter-dark .icon.is-medium {
+      height: 2rem;
+      width: 2rem; }
+    html.theme--documenter-dark .icon.is-large {
+      height: 3rem;
+      width: 3rem; }
+  html.theme--documenter-dark .image, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img {
+    display: block;
+    position: relative; }
+    html.theme--documenter-dark .image img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img img {
+      display: block;
+      height: auto;
+      width: 100%; }
+      html.theme--documenter-dark .image img.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img img.is-rounded {
+        border-radius: 290486px; }
+    html.theme--documenter-dark .image.is-square img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square img,
+    html.theme--documenter-dark .image.is-square .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, html.theme--documenter-dark .image.is-1by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+    html.theme--documenter-dark .image.is-1by1 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, html.theme--documenter-dark .image.is-5by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+    html.theme--documenter-dark .image.is-5by4 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, html.theme--documenter-dark .image.is-4by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+    html.theme--documenter-dark .image.is-4by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, html.theme--documenter-dark .image.is-3by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+    html.theme--documenter-dark .image.is-3by2 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, html.theme--documenter-dark .image.is-5by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+    html.theme--documenter-dark .image.is-5by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, html.theme--documenter-dark .image.is-16by9 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+    html.theme--documenter-dark .image.is-16by9 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, html.theme--documenter-dark .image.is-2by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+    html.theme--documenter-dark .image.is-2by1 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, html.theme--documenter-dark .image.is-3by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+    html.theme--documenter-dark .image.is-3by1 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, html.theme--documenter-dark .image.is-4by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+    html.theme--documenter-dark .image.is-4by5 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, html.theme--documenter-dark .image.is-3by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+    html.theme--documenter-dark .image.is-3by4 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, html.theme--documenter-dark .image.is-2by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+    html.theme--documenter-dark .image.is-2by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, html.theme--documenter-dark .image.is-3by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+    html.theme--documenter-dark .image.is-3by5 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, html.theme--documenter-dark .image.is-9by16 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+    html.theme--documenter-dark .image.is-9by16 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, html.theme--documenter-dark .image.is-1by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+    html.theme--documenter-dark .image.is-1by2 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, html.theme--documenter-dark .image.is-1by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+    html.theme--documenter-dark .image.is-1by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio {
+      height: 100%;
+      width: 100%; }
+    html.theme--documenter-dark .image.is-square, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square, html.theme--documenter-dark .image.is-1by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 {
+      padding-top: 100%; }
+    html.theme--documenter-dark .image.is-5by4, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 {
+      padding-top: 80%; }
+    html.theme--documenter-dark .image.is-4by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 {
+      padding-top: 75%; }
+    html.theme--documenter-dark .image.is-3by2, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 {
+      padding-top: 66.6666%; }
+    html.theme--documenter-dark .image.is-5by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 {
+      padding-top: 60%; }
+    html.theme--documenter-dark .image.is-16by9, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 {
+      padding-top: 56.25%; }
+    html.theme--documenter-dark .image.is-2by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 {
+      padding-top: 50%; }
+    html.theme--documenter-dark .image.is-3by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 {
+      padding-top: 33.3333%; }
+    html.theme--documenter-dark .image.is-4by5, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 {
+      padding-top: 125%; }
+    html.theme--documenter-dark .image.is-3by4, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 {
+      padding-top: 133.3333%; }
+    html.theme--documenter-dark .image.is-2by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 {
+      padding-top: 150%; }
+    html.theme--documenter-dark .image.is-3by5, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 {
+      padding-top: 166.6666%; }
+    html.theme--documenter-dark .image.is-9by16, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 {
+      padding-top: 177.7777%; }
+    html.theme--documenter-dark .image.is-1by2, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 {
+      padding-top: 200%; }
+    html.theme--documenter-dark .image.is-1by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 {
+      padding-top: 300%; }
+    html.theme--documenter-dark .image.is-16x16, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16x16 {
+      height: 16px;
+      width: 16px; }
+    html.theme--documenter-dark .image.is-24x24, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-24x24 {
+      height: 24px;
+      width: 24px; }
+    html.theme--documenter-dark .image.is-32x32, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-32x32 {
+      height: 32px;
+      width: 32px; }
+    html.theme--documenter-dark .image.is-48x48, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-48x48 {
+      height: 48px;
+      width: 48px; }
+    html.theme--documenter-dark .image.is-64x64, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-64x64 {
+      height: 64px;
+      width: 64px; }
+    html.theme--documenter-dark .image.is-96x96, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-96x96 {
+      height: 96px;
+      width: 96px; }
+    html.theme--documenter-dark .image.is-128x128, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-128x128 {
+      height: 128px;
+      width: 128px; }
+  html.theme--documenter-dark .notification {
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    padding: 1.25rem 2.5rem 1.25rem 1.5rem;
+    position: relative; }
+    html.theme--documenter-dark .notification a:not(.button):not(.dropdown-item) {
+      color: currentColor;
+      text-decoration: underline; }
+    html.theme--documenter-dark .notification strong {
+      color: currentColor; }
+    html.theme--documenter-dark .notification code,
+    html.theme--documenter-dark .notification pre {
+      background: white; }
+    html.theme--documenter-dark .notification pre code {
+      background: transparent; }
+    html.theme--documenter-dark .notification > .delete {
+      position: absolute;
+      right: 0.5rem;
+      top: 0.5rem; }
+    html.theme--documenter-dark .notification .title,
+    html.theme--documenter-dark .notification .subtitle,
+    html.theme--documenter-dark .notification .content {
+      color: currentColor; }
+    html.theme--documenter-dark .notification.is-white {
+      background-color: white;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .notification.is-black {
+      background-color: #0a0a0a;
+      color: white; }
+    html.theme--documenter-dark .notification.is-light {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+    html.theme--documenter-dark .notification.is-dark, html.theme--documenter-dark .content kbd.notification {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .notification.is-primary, html.theme--documenter-dark .docstring > section > a.notification.docs-sourcelink {
+      background-color: #375a7f;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-link {
+      background-color: #1abc9c;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-info {
+      background-color: #024c7d;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-success {
+      background-color: #008438;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-warning {
+      background-color: #ad8100;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-danger {
+      background-color: #9e1b0d;
+      color: #fff; }
+  html.theme--documenter-dark .progress {
+    -moz-appearance: none;
+    -webkit-appearance: none;
+    border: none;
+    border-radius: 290486px;
+    display: block;
+    height: 15px;
+    overflow: hidden;
+    padding: 0;
+    width: 100%; }
+    html.theme--documenter-dark .progress::-webkit-progress-bar {
+      background-color: #5e6d6f; }
+    html.theme--documenter-dark .progress::-webkit-progress-value {
+      background-color: #dbdee0; }
+    html.theme--documenter-dark .progress::-moz-progress-bar {
+      background-color: #dbdee0; }
+    html.theme--documenter-dark .progress::-ms-fill {
+      background-color: #dbdee0;
+      border: none; }
+    html.theme--documenter-dark .progress.is-white::-webkit-progress-value {
+      background-color: white; }
+    html.theme--documenter-dark .progress.is-white::-moz-progress-bar {
+      background-color: white; }
+    html.theme--documenter-dark .progress.is-white::-ms-fill {
+      background-color: white; }
+    html.theme--documenter-dark .progress.is-white:indeterminate {
+      background-image: linear-gradient(to right, white 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-black::-webkit-progress-value {
+      background-color: #0a0a0a; }
+    html.theme--documenter-dark .progress.is-black::-moz-progress-bar {
+      background-color: #0a0a0a; }
+    html.theme--documenter-dark .progress.is-black::-ms-fill {
+      background-color: #0a0a0a; }
+    html.theme--documenter-dark .progress.is-black:indeterminate {
+      background-image: linear-gradient(to right, #0a0a0a 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-light::-webkit-progress-value {
+      background-color: #ecf0f1; }
+    html.theme--documenter-dark .progress.is-light::-moz-progress-bar {
+      background-color: #ecf0f1; }
+    html.theme--documenter-dark .progress.is-light::-ms-fill {
+      background-color: #ecf0f1; }
+    html.theme--documenter-dark .progress.is-light:indeterminate {
+      background-image: linear-gradient(to right, #ecf0f1 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-dark::-webkit-progress-value, html.theme--documenter-dark .content kbd.progress::-webkit-progress-value {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .progress.is-dark::-moz-progress-bar, html.theme--documenter-dark .content kbd.progress::-moz-progress-bar {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .progress.is-dark::-ms-fill, html.theme--documenter-dark .content kbd.progress::-ms-fill {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .progress.is-dark:indeterminate, html.theme--documenter-dark .content kbd.progress:indeterminate {
+      background-image: linear-gradient(to right, #282f2f 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-primary::-webkit-progress-value, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-webkit-progress-value {
+      background-color: #375a7f; }
+    html.theme--documenter-dark .progress.is-primary::-moz-progress-bar, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-moz-progress-bar {
+      background-color: #375a7f; }
+    html.theme--documenter-dark .progress.is-primary::-ms-fill, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-ms-fill {
+      background-color: #375a7f; }
+    html.theme--documenter-dark .progress.is-primary:indeterminate, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink:indeterminate {
+      background-image: linear-gradient(to right, #375a7f 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-link::-webkit-progress-value {
+      background-color: #1abc9c; }
+    html.theme--documenter-dark .progress.is-link::-moz-progress-bar {
+      background-color: #1abc9c; }
+    html.theme--documenter-dark .progress.is-link::-ms-fill {
+      background-color: #1abc9c; }
+    html.theme--documenter-dark .progress.is-link:indeterminate {
+      background-image: linear-gradient(to right, #1abc9c 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-info::-webkit-progress-value {
+      background-color: #024c7d; }
+    html.theme--documenter-dark .progress.is-info::-moz-progress-bar {
+      background-color: #024c7d; }
+    html.theme--documenter-dark .progress.is-info::-ms-fill {
+      background-color: #024c7d; }
+    html.theme--documenter-dark .progress.is-info:indeterminate {
+      background-image: linear-gradient(to right, #024c7d 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-success::-webkit-progress-value {
+      background-color: #008438; }
+    html.theme--documenter-dark .progress.is-success::-moz-progress-bar {
+      background-color: #008438; }
+    html.theme--documenter-dark .progress.is-success::-ms-fill {
+      background-color: #008438; }
+    html.theme--documenter-dark .progress.is-success:indeterminate {
+      background-image: linear-gradient(to right, #008438 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-warning::-webkit-progress-value {
+      background-color: #ad8100; }
+    html.theme--documenter-dark .progress.is-warning::-moz-progress-bar {
+      background-color: #ad8100; }
+    html.theme--documenter-dark .progress.is-warning::-ms-fill {
+      background-color: #ad8100; }
+    html.theme--documenter-dark .progress.is-warning:indeterminate {
+      background-image: linear-gradient(to right, #ad8100 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-danger::-webkit-progress-value {
+      background-color: #9e1b0d; }
+    html.theme--documenter-dark .progress.is-danger::-moz-progress-bar {
+      background-color: #9e1b0d; }
+    html.theme--documenter-dark .progress.is-danger::-ms-fill {
+      background-color: #9e1b0d; }
+    html.theme--documenter-dark .progress.is-danger:indeterminate {
+      background-image: linear-gradient(to right, #9e1b0d 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress:indeterminate {
+      animation-duration: 1.5s;
+      animation-iteration-count: infinite;
+      animation-name: moveIndeterminate;
+      animation-timing-function: linear;
+      background-color: #5e6d6f;
+      background-image: linear-gradient(to right, #fff 30%, #5e6d6f 30%);
+      background-position: top left;
+      background-repeat: no-repeat;
+      background-size: 150% 150%; }
+      html.theme--documenter-dark .progress:indeterminate::-webkit-progress-bar {
+        background-color: transparent; }
+      html.theme--documenter-dark .progress:indeterminate::-moz-progress-bar {
+        background-color: transparent; }
+    html.theme--documenter-dark .progress.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.progress {
+      height: 0.85em; }
+    html.theme--documenter-dark .progress.is-medium {
+      height: 1.25rem; }
+    html.theme--documenter-dark .progress.is-large {
+      height: 1.5rem; }
+
+@keyframes moveIndeterminate {
+  from {
+    background-position: 200% 0; }
+  to {
+    background-position: -200% 0; } }
+  html.theme--documenter-dark .table {
+    background-color: #343c3d;
+    color: #fff; }
+    html.theme--documenter-dark .table td,
+    html.theme--documenter-dark .table th {
+      border: 1px solid #5e6d6f;
+      border-width: 0 0 1px;
+      padding: 0.5em 0.75em;
+      vertical-align: top; }
+      html.theme--documenter-dark .table td.is-white,
+      html.theme--documenter-dark .table th.is-white {
+        background-color: white;
+        border-color: white;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .table td.is-black,
+      html.theme--documenter-dark .table th.is-black {
+        background-color: #0a0a0a;
+        border-color: #0a0a0a;
+        color: white; }
+      html.theme--documenter-dark .table td.is-light,
+      html.theme--documenter-dark .table th.is-light {
+        background-color: #ecf0f1;
+        border-color: #ecf0f1;
+        color: #282f2f; }
+      html.theme--documenter-dark .table td.is-dark,
+      html.theme--documenter-dark .table th.is-dark {
+        background-color: #282f2f;
+        border-color: #282f2f;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .table td.is-primary,
+      html.theme--documenter-dark .table th.is-primary {
+        background-color: #375a7f;
+        border-color: #375a7f;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-link,
+      html.theme--documenter-dark .table th.is-link {
+        background-color: #1abc9c;
+        border-color: #1abc9c;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-info,
+      html.theme--documenter-dark .table th.is-info {
+        background-color: #024c7d;
+        border-color: #024c7d;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-success,
+      html.theme--documenter-dark .table th.is-success {
+        background-color: #008438;
+        border-color: #008438;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-warning,
+      html.theme--documenter-dark .table th.is-warning {
+        background-color: #ad8100;
+        border-color: #ad8100;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-danger,
+      html.theme--documenter-dark .table th.is-danger {
+        background-color: #9e1b0d;
+        border-color: #9e1b0d;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-narrow,
+      html.theme--documenter-dark .table th.is-narrow {
+        white-space: nowrap;
+        width: 1%; }
+      html.theme--documenter-dark .table td.is-selected,
+      html.theme--documenter-dark .table th.is-selected {
+        background-color: #375a7f;
+        color: #fff; }
+        html.theme--documenter-dark .table td.is-selected a,
+        html.theme--documenter-dark .table td.is-selected strong,
+        html.theme--documenter-dark .table th.is-selected a,
+        html.theme--documenter-dark .table th.is-selected strong {
+          color: currentColor; }
+    html.theme--documenter-dark .table th {
+      color: #f2f2f2; }
+      html.theme--documenter-dark .table th:not([align]) {
+        text-align: left; }
+    html.theme--documenter-dark .table tr.is-selected {
+      background-color: #375a7f;
+      color: #fff; }
+      html.theme--documenter-dark .table tr.is-selected a,
+      html.theme--documenter-dark .table tr.is-selected strong {
+        color: currentColor; }
+      html.theme--documenter-dark .table tr.is-selected td,
+      html.theme--documenter-dark .table tr.is-selected th {
+        border-color: #fff;
+        color: currentColor; }
+    html.theme--documenter-dark .table thead {
+      background-color: transparent; }
+      html.theme--documenter-dark .table thead td,
+      html.theme--documenter-dark .table thead th {
+        border-width: 0 0 2px;
+        color: #f2f2f2; }
+    html.theme--documenter-dark .table tfoot {
+      background-color: transparent; }
+      html.theme--documenter-dark .table tfoot td,
+      html.theme--documenter-dark .table tfoot th {
+        border-width: 2px 0 0;
+        color: #f2f2f2; }
+    html.theme--documenter-dark .table tbody {
+      background-color: transparent; }
+      html.theme--documenter-dark .table tbody tr:last-child td,
+      html.theme--documenter-dark .table tbody tr:last-child th {
+        border-bottom-width: 0; }
+    html.theme--documenter-dark .table.is-bordered td,
+    html.theme--documenter-dark .table.is-bordered th {
+      border-width: 1px; }
+    html.theme--documenter-dark .table.is-bordered tr:last-child td,
+    html.theme--documenter-dark .table.is-bordered tr:last-child th {
+      border-bottom-width: 1px; }
+    html.theme--documenter-dark .table.is-fullwidth {
+      width: 100%; }
+    html.theme--documenter-dark .table.is-hoverable tbody tr:not(.is-selected):hover {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover {
+      background-color: #282f2f; }
+      html.theme--documenter-dark .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover:nth-child(even) {
+        background-color: #2d3435; }
+    html.theme--documenter-dark .table.is-narrow td,
+    html.theme--documenter-dark .table.is-narrow th {
+      padding: 0.25em 0.5em; }
+    html.theme--documenter-dark .table.is-striped tbody tr:not(.is-selected):nth-child(even) {
+      background-color: #282f2f; }
+  html.theme--documenter-dark .table-container {
+    -webkit-overflow-scrolling: touch;
+    overflow: auto;
+    overflow-y: hidden;
+    max-width: 100%; }
+  html.theme--documenter-dark .tags {
+    align-items: center;
+    display: flex;
+    flex-wrap: wrap;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .tags .tag, html.theme--documenter-dark .tags .content kbd, html.theme--documenter-dark .content .tags kbd, html.theme--documenter-dark .tags .docstring > section > a.docs-sourcelink {
+      margin-bottom: 0.5rem; }
+      html.theme--documenter-dark .tags .tag:not(:last-child), html.theme--documenter-dark .tags .content kbd:not(:last-child), html.theme--documenter-dark .content .tags kbd:not(:last-child), html.theme--documenter-dark .tags .docstring > section > a.docs-sourcelink:not(:last-child) {
+        margin-right: 0.5rem; }
+    html.theme--documenter-dark .tags:last-child {
+      margin-bottom: -0.5rem; }
+    html.theme--documenter-dark .tags:not(:last-child) {
+      margin-bottom: 1rem; }
+    html.theme--documenter-dark .tags.are-medium .tag:not(.is-normal):not(.is-large), html.theme--documenter-dark .tags.are-medium .content kbd:not(.is-normal):not(.is-large), html.theme--documenter-dark .content .tags.are-medium kbd:not(.is-normal):not(.is-large), html.theme--documenter-dark .tags.are-medium .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-large) {
+      font-size: 15px; }
+    html.theme--documenter-dark .tags.are-large .tag:not(.is-normal):not(.is-medium), html.theme--documenter-dark .tags.are-large .content kbd:not(.is-normal):not(.is-medium), html.theme--documenter-dark .content .tags.are-large kbd:not(.is-normal):not(.is-medium), html.theme--documenter-dark .tags.are-large .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-medium) {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .tags.is-centered {
+      justify-content: center; }
+      html.theme--documenter-dark .tags.is-centered .tag, html.theme--documenter-dark .tags.is-centered .content kbd, html.theme--documenter-dark .content .tags.is-centered kbd, html.theme--documenter-dark .tags.is-centered .docstring > section > a.docs-sourcelink {
+        margin-right: 0.25rem;
+        margin-left: 0.25rem; }
+    html.theme--documenter-dark .tags.is-right {
+      justify-content: flex-end; }
+      html.theme--documenter-dark .tags.is-right .tag:not(:first-child), html.theme--documenter-dark .tags.is-right .content kbd:not(:first-child), html.theme--documenter-dark .content .tags.is-right kbd:not(:first-child), html.theme--documenter-dark .tags.is-right .docstring > section > a.docs-sourcelink:not(:first-child) {
+        margin-left: 0.5rem; }
+      html.theme--documenter-dark .tags.is-right .tag:not(:last-child), html.theme--documenter-dark .tags.is-right .content kbd:not(:last-child), html.theme--documenter-dark .content .tags.is-right kbd:not(:last-child), html.theme--documenter-dark .tags.is-right .docstring > section > a.docs-sourcelink:not(:last-child) {
+        margin-right: 0; }
+    html.theme--documenter-dark .tags.has-addons .tag, html.theme--documenter-dark .tags.has-addons .content kbd, html.theme--documenter-dark .content .tags.has-addons kbd, html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink {
+      margin-right: 0; }
+      html.theme--documenter-dark .tags.has-addons .tag:not(:first-child), html.theme--documenter-dark .tags.has-addons .content kbd:not(:first-child), html.theme--documenter-dark .content .tags.has-addons kbd:not(:first-child), html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink:not(:first-child) {
+        margin-left: 0;
+        border-bottom-left-radius: 0;
+        border-top-left-radius: 0; }
+      html.theme--documenter-dark .tags.has-addons .tag:not(:last-child), html.theme--documenter-dark .tags.has-addons .content kbd:not(:last-child), html.theme--documenter-dark .content .tags.has-addons kbd:not(:last-child), html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink:not(:last-child) {
+        border-bottom-right-radius: 0;
+        border-top-right-radius: 0; }
+  html.theme--documenter-dark .tag:not(body), html.theme--documenter-dark .content kbd:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) {
+    align-items: center;
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    color: #fff;
+    display: inline-flex;
+    font-size: 0.85em;
+    height: 2em;
+    justify-content: center;
+    line-height: 1.5;
+    padding-left: 0.75em;
+    padding-right: 0.75em;
+    white-space: nowrap; }
+    html.theme--documenter-dark .tag:not(body) .delete, html.theme--documenter-dark .content kbd:not(body) .delete, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .delete {
+      margin-left: 0.25rem;
+      margin-right: -0.375rem; }
+    html.theme--documenter-dark .tag.is-white:not(body), html.theme--documenter-dark .content kbd.is-white:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-white:not(body) {
+      background-color: white;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .tag.is-black:not(body), html.theme--documenter-dark .content kbd.is-black:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-black:not(body) {
+      background-color: #0a0a0a;
+      color: white; }
+    html.theme--documenter-dark .tag.is-light:not(body), html.theme--documenter-dark .content kbd.is-light:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-light:not(body) {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+    html.theme--documenter-dark .tag.is-dark:not(body), html.theme--documenter-dark .content kbd:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-dark:not(body), html.theme--documenter-dark .content .docstring > section > kbd:not(body) {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .tag.is-primary:not(body), html.theme--documenter-dark .content kbd.is-primary:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) {
+      background-color: #375a7f;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-link:not(body), html.theme--documenter-dark .content kbd.is-link:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-link:not(body) {
+      background-color: #1abc9c;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-info:not(body), html.theme--documenter-dark .content kbd.is-info:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-info:not(body) {
+      background-color: #024c7d;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-success:not(body), html.theme--documenter-dark .content kbd.is-success:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-success:not(body) {
+      background-color: #008438;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-warning:not(body), html.theme--documenter-dark .content kbd.is-warning:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-warning:not(body) {
+      background-color: #ad8100;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-danger:not(body), html.theme--documenter-dark .content kbd.is-danger:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-danger:not(body) {
+      background-color: #9e1b0d;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-normal:not(body), html.theme--documenter-dark .content kbd.is-normal:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-normal:not(body) {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .tag.is-medium:not(body), html.theme--documenter-dark .content kbd.is-medium:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-medium:not(body) {
+      font-size: 15px; }
+    html.theme--documenter-dark .tag.is-large:not(body), html.theme--documenter-dark .content kbd.is-large:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-large:not(body) {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .tag:not(body) .icon:first-child:not(:last-child), html.theme--documenter-dark .content kbd:not(body) .icon:first-child:not(:last-child), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:not(:last-child) {
+      margin-left: -0.375em;
+      margin-right: 0.1875em; }
+    html.theme--documenter-dark .tag:not(body) .icon:last-child:not(:first-child), html.theme--documenter-dark .content kbd:not(body) .icon:last-child:not(:first-child), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:last-child:not(:first-child) {
+      margin-left: 0.1875em;
+      margin-right: -0.375em; }
+    html.theme--documenter-dark .tag:not(body) .icon:first-child:last-child, html.theme--documenter-dark .content kbd:not(body) .icon:first-child:last-child, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:last-child {
+      margin-left: -0.375em;
+      margin-right: -0.375em; }
+    html.theme--documenter-dark .tag.is-delete:not(body), html.theme--documenter-dark .content kbd.is-delete:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body) {
+      margin-left: 1px;
+      padding: 0;
+      position: relative;
+      width: 2em; }
+      html.theme--documenter-dark .tag.is-delete:not(body)::before, html.theme--documenter-dark .content kbd.is-delete:not(body)::before, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::before, html.theme--documenter-dark .tag.is-delete:not(body)::after, html.theme--documenter-dark .content kbd.is-delete:not(body)::after, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+        background-color: currentColor;
+        content: "";
+        display: block;
+        left: 50%;
+        position: absolute;
+        top: 50%;
+        transform: translateX(-50%) translateY(-50%) rotate(45deg);
+        transform-origin: center center; }
+      html.theme--documenter-dark .tag.is-delete:not(body)::before, html.theme--documenter-dark .content kbd.is-delete:not(body)::before, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::before {
+        height: 1px;
+        width: 50%; }
+      html.theme--documenter-dark .tag.is-delete:not(body)::after, html.theme--documenter-dark .content kbd.is-delete:not(body)::after, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+        height: 50%;
+        width: 1px; }
+      html.theme--documenter-dark .tag.is-delete:not(body):hover, html.theme--documenter-dark .content kbd.is-delete:not(body):hover, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):hover, html.theme--documenter-dark .tag.is-delete:not(body):focus, html.theme--documenter-dark .content kbd.is-delete:not(body):focus, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):focus {
+        background-color: #1d2122; }
+      html.theme--documenter-dark .tag.is-delete:not(body):active, html.theme--documenter-dark .content kbd.is-delete:not(body):active, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):active {
+        background-color: #111414; }
+    html.theme--documenter-dark .tag.is-rounded:not(body), html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:not(body), html.theme--documenter-dark .content kbd.is-rounded:not(body), html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-rounded:not(body) {
+      border-radius: 290486px; }
+  html.theme--documenter-dark a.tag:hover, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:hover {
+    text-decoration: underline; }
+  html.theme--documenter-dark .title,
+  html.theme--documenter-dark .subtitle {
+    word-break: break-word; }
+    html.theme--documenter-dark .title em,
+    html.theme--documenter-dark .title span,
+    html.theme--documenter-dark .subtitle em,
+    html.theme--documenter-dark .subtitle span {
+      font-weight: inherit; }
+    html.theme--documenter-dark .title sub,
+    html.theme--documenter-dark .subtitle sub {
+      font-size: 0.75em; }
+    html.theme--documenter-dark .title sup,
+    html.theme--documenter-dark .subtitle sup {
+      font-size: 0.75em; }
+    html.theme--documenter-dark .title .tag, html.theme--documenter-dark .title .content kbd, html.theme--documenter-dark .content .title kbd, html.theme--documenter-dark .title .docstring > section > a.docs-sourcelink,
+    html.theme--documenter-dark .subtitle .tag,
+    html.theme--documenter-dark .subtitle .content kbd,
+    html.theme--documenter-dark .content .subtitle kbd,
+    html.theme--documenter-dark .subtitle .docstring > section > a.docs-sourcelink {
+      vertical-align: middle; }
+  html.theme--documenter-dark .title {
+    color: #fff;
+    font-size: 2rem;
+    font-weight: 500;
+    line-height: 1.125; }
+    html.theme--documenter-dark .title strong {
+      color: inherit;
+      font-weight: inherit; }
+    html.theme--documenter-dark .title + .highlight {
+      margin-top: -0.75rem; }
+    html.theme--documenter-dark .title:not(.is-spaced) + .subtitle {
+      margin-top: -1.25rem; }
+    html.theme--documenter-dark .title.is-1 {
+      font-size: 3rem; }
+    html.theme--documenter-dark .title.is-2 {
+      font-size: 2.5rem; }
+    html.theme--documenter-dark .title.is-3 {
+      font-size: 2rem; }
+    html.theme--documenter-dark .title.is-4 {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .title.is-5 {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .title.is-6 {
+      font-size: 15px; }
+    html.theme--documenter-dark .title.is-7 {
+      font-size: 0.85em; }
+  html.theme--documenter-dark .subtitle {
+    color: #8c9b9d;
+    font-size: 1.25rem;
+    font-weight: 400;
+    line-height: 1.25; }
+    html.theme--documenter-dark .subtitle strong {
+      color: #8c9b9d;
+      font-weight: 600; }
+    html.theme--documenter-dark .subtitle:not(.is-spaced) + .title {
+      margin-top: -1.25rem; }
+    html.theme--documenter-dark .subtitle.is-1 {
+      font-size: 3rem; }
+    html.theme--documenter-dark .subtitle.is-2 {
+      font-size: 2.5rem; }
+    html.theme--documenter-dark .subtitle.is-3 {
+      font-size: 2rem; }
+    html.theme--documenter-dark .subtitle.is-4 {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .subtitle.is-5 {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .subtitle.is-6 {
+      font-size: 15px; }
+    html.theme--documenter-dark .subtitle.is-7 {
+      font-size: 0.85em; }
+  html.theme--documenter-dark .heading {
+    display: block;
+    font-size: 11px;
+    letter-spacing: 1px;
+    margin-bottom: 5px;
+    text-transform: uppercase; }
+  html.theme--documenter-dark .highlight {
+    font-weight: 400;
+    max-width: 100%;
+    overflow: hidden;
+    padding: 0; }
+    html.theme--documenter-dark .highlight pre {
+      overflow: auto;
+      max-width: 100%; }
+  html.theme--documenter-dark .number {
+    align-items: center;
+    background-color: #282f2f;
+    border-radius: 290486px;
+    display: inline-flex;
+    font-size: 1.25rem;
+    height: 2em;
+    justify-content: center;
+    margin-right: 1.5rem;
+    min-width: 2.5em;
+    padding: 0.25rem 0.5rem;
+    text-align: center;
+    vertical-align: top; }
+  html.theme--documenter-dark .select select, html.theme--documenter-dark .textarea, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+    background-color: #1f2424;
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    color: #dbdee0; }
+    html.theme--documenter-dark .select select::-moz-placeholder, html.theme--documenter-dark .textarea::-moz-placeholder, html.theme--documenter-dark .input::-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-moz-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select::-webkit-input-placeholder, html.theme--documenter-dark .textarea::-webkit-input-placeholder, html.theme--documenter-dark .input::-webkit-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select:-moz-placeholder, html.theme--documenter-dark .textarea:-moz-placeholder, html.theme--documenter-dark .input:-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-moz-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select:-ms-input-placeholder, html.theme--documenter-dark .textarea:-ms-input-placeholder, html.theme--documenter-dark .input:-ms-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select:hover, html.theme--documenter-dark .textarea:hover, html.theme--documenter-dark .input:hover, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:hover, html.theme--documenter-dark .select select.is-hovered, html.theme--documenter-dark .is-hovered.textarea, html.theme--documenter-dark .is-hovered.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-hovered {
+      border-color: #8c9b9d; }
+    html.theme--documenter-dark .select select:focus, html.theme--documenter-dark .textarea:focus, html.theme--documenter-dark .input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:focus, html.theme--documenter-dark .select select.is-focused, html.theme--documenter-dark .is-focused.textarea, html.theme--documenter-dark .is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .select select:active, html.theme--documenter-dark .textarea:active, html.theme--documenter-dark .input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:active, html.theme--documenter-dark .select select.is-active, html.theme--documenter-dark .is-active.textarea, html.theme--documenter-dark .is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+      border-color: #1abc9c;
+      box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .select select[disabled], html.theme--documenter-dark .textarea[disabled], html.theme--documenter-dark .input[disabled], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled], fieldset[disabled] html.theme--documenter-dark .select select, fieldset[disabled] html.theme--documenter-dark .textarea, fieldset[disabled] html.theme--documenter-dark .input, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+      background-color: #8c9b9d;
+      border-color: #282f2f;
+      box-shadow: none;
+      color: white; }
+      html.theme--documenter-dark .select select[disabled]::-moz-placeholder, html.theme--documenter-dark .textarea[disabled]::-moz-placeholder, html.theme--documenter-dark .input[disabled]::-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .select select::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .input::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-moz-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+      html.theme--documenter-dark .select select[disabled]::-webkit-input-placeholder, html.theme--documenter-dark .textarea[disabled]::-webkit-input-placeholder, html.theme--documenter-dark .input[disabled]::-webkit-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .select select::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .input::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+      html.theme--documenter-dark .select select[disabled]:-moz-placeholder, html.theme--documenter-dark .textarea[disabled]:-moz-placeholder, html.theme--documenter-dark .input[disabled]:-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .select select:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .input:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-moz-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+      html.theme--documenter-dark .select select[disabled]:-ms-input-placeholder, html.theme--documenter-dark .textarea[disabled]:-ms-input-placeholder, html.theme--documenter-dark .input[disabled]:-ms-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .select select:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .input:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+  html.theme--documenter-dark .textarea, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+    box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.1);
+    max-width: 100%;
+    width: 100%; }
+    html.theme--documenter-dark .textarea[readonly], html.theme--documenter-dark .input[readonly], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[readonly] {
+      box-shadow: none; }
+    html.theme--documenter-dark .is-white.textarea, html.theme--documenter-dark .is-white.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white {
+      border-color: white; }
+      html.theme--documenter-dark .is-white.textarea:focus, html.theme--documenter-dark .is-white.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white:focus, html.theme--documenter-dark .is-white.is-focused.textarea, html.theme--documenter-dark .is-white.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-white.textarea:active, html.theme--documenter-dark .is-white.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white:active, html.theme--documenter-dark .is-white.is-active.textarea, html.theme--documenter-dark .is-white.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+    html.theme--documenter-dark .is-black.textarea, html.theme--documenter-dark .is-black.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black {
+      border-color: #0a0a0a; }
+      html.theme--documenter-dark .is-black.textarea:focus, html.theme--documenter-dark .is-black.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black:focus, html.theme--documenter-dark .is-black.is-focused.textarea, html.theme--documenter-dark .is-black.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-black.textarea:active, html.theme--documenter-dark .is-black.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black:active, html.theme--documenter-dark .is-black.is-active.textarea, html.theme--documenter-dark .is-black.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+    html.theme--documenter-dark .is-light.textarea, html.theme--documenter-dark .is-light.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light {
+      border-color: #ecf0f1; }
+      html.theme--documenter-dark .is-light.textarea:focus, html.theme--documenter-dark .is-light.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light:focus, html.theme--documenter-dark .is-light.is-focused.textarea, html.theme--documenter-dark .is-light.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-light.textarea:active, html.theme--documenter-dark .is-light.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light:active, html.theme--documenter-dark .is-light.is-active.textarea, html.theme--documenter-dark .is-light.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); }
+    html.theme--documenter-dark .is-dark.textarea, html.theme--documenter-dark .content kbd.textarea, html.theme--documenter-dark .is-dark.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark, html.theme--documenter-dark .content kbd.input {
+      border-color: #282f2f; }
+      html.theme--documenter-dark .is-dark.textarea:focus, html.theme--documenter-dark .content kbd.textarea:focus, html.theme--documenter-dark .is-dark.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark:focus, html.theme--documenter-dark .content kbd.input:focus, html.theme--documenter-dark .is-dark.is-focused.textarea, html.theme--documenter-dark .content kbd.is-focused.textarea, html.theme--documenter-dark .is-dark.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .content kbd.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input.is-focused, html.theme--documenter-dark .is-dark.textarea:active, html.theme--documenter-dark .content kbd.textarea:active, html.theme--documenter-dark .is-dark.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark:active, html.theme--documenter-dark .content kbd.input:active, html.theme--documenter-dark .is-dark.is-active.textarea, html.theme--documenter-dark .content kbd.is-active.textarea, html.theme--documenter-dark .is-dark.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .content kbd.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); }
+    html.theme--documenter-dark .is-primary.textarea, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink {
+      border-color: #375a7f; }
+      html.theme--documenter-dark .is-primary.textarea:focus, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink:focus, html.theme--documenter-dark .is-primary.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary:focus, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink:focus, html.theme--documenter-dark .is-primary.is-focused.textarea, html.theme--documenter-dark .docstring > section > a.is-focused.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .docstring > section > a.is-focused.input.docs-sourcelink, html.theme--documenter-dark .is-primary.textarea:active, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink:active, html.theme--documenter-dark .is-primary.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary:active, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink:active, html.theme--documenter-dark .is-primary.is-active.textarea, html.theme--documenter-dark .docstring > section > a.is-active.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .docstring > section > a.is-active.input.docs-sourcelink {
+        box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); }
+    html.theme--documenter-dark .is-link.textarea, html.theme--documenter-dark .is-link.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link {
+      border-color: #1abc9c; }
+      html.theme--documenter-dark .is-link.textarea:focus, html.theme--documenter-dark .is-link.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link:focus, html.theme--documenter-dark .is-link.is-focused.textarea, html.theme--documenter-dark .is-link.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-link.textarea:active, html.theme--documenter-dark .is-link.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link:active, html.theme--documenter-dark .is-link.is-active.textarea, html.theme--documenter-dark .is-link.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .is-info.textarea, html.theme--documenter-dark .is-info.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info {
+      border-color: #024c7d; }
+      html.theme--documenter-dark .is-info.textarea:focus, html.theme--documenter-dark .is-info.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info:focus, html.theme--documenter-dark .is-info.is-focused.textarea, html.theme--documenter-dark .is-info.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-info.textarea:active, html.theme--documenter-dark .is-info.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info:active, html.theme--documenter-dark .is-info.is-active.textarea, html.theme--documenter-dark .is-info.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); }
+    html.theme--documenter-dark .is-success.textarea, html.theme--documenter-dark .is-success.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success {
+      border-color: #008438; }
+      html.theme--documenter-dark .is-success.textarea:focus, html.theme--documenter-dark .is-success.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success:focus, html.theme--documenter-dark .is-success.is-focused.textarea, html.theme--documenter-dark .is-success.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-success.textarea:active, html.theme--documenter-dark .is-success.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success:active, html.theme--documenter-dark .is-success.is-active.textarea, html.theme--documenter-dark .is-success.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); }
+    html.theme--documenter-dark .is-warning.textarea, html.theme--documenter-dark .is-warning.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning {
+      border-color: #ad8100; }
+      html.theme--documenter-dark .is-warning.textarea:focus, html.theme--documenter-dark .is-warning.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning:focus, html.theme--documenter-dark .is-warning.is-focused.textarea, html.theme--documenter-dark .is-warning.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-warning.textarea:active, html.theme--documenter-dark .is-warning.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning:active, html.theme--documenter-dark .is-warning.is-active.textarea, html.theme--documenter-dark .is-warning.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); }
+    html.theme--documenter-dark .is-danger.textarea, html.theme--documenter-dark .is-danger.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger {
+      border-color: #9e1b0d; }
+      html.theme--documenter-dark .is-danger.textarea:focus, html.theme--documenter-dark .is-danger.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger:focus, html.theme--documenter-dark .is-danger.is-focused.textarea, html.theme--documenter-dark .is-danger.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-danger.textarea:active, html.theme--documenter-dark .is-danger.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger:active, html.theme--documenter-dark .is-danger.is-active.textarea, html.theme--documenter-dark .is-danger.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); }
+    html.theme--documenter-dark .is-small.textarea, html.theme--documenter-dark .is-small.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .is-medium.textarea, html.theme--documenter-dark .is-medium.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .is-large.textarea, html.theme--documenter-dark .is-large.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .is-fullwidth.textarea, html.theme--documenter-dark .is-fullwidth.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-fullwidth {
+      display: block;
+      width: 100%; }
+    html.theme--documenter-dark .is-inline.textarea, html.theme--documenter-dark .is-inline.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-inline {
+      display: inline;
+      width: auto; }
+  html.theme--documenter-dark .input.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+    border-radius: 290486px;
+    padding-left: 1em;
+    padding-right: 1em; }
+  html.theme--documenter-dark .input.is-static, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-static {
+    background-color: transparent;
+    border-color: transparent;
+    box-shadow: none;
+    padding-left: 0;
+    padding-right: 0; }
+  html.theme--documenter-dark .textarea {
+    display: block;
+    max-width: 100%;
+    min-width: 100%;
+    padding: 0.625em;
+    resize: vertical; }
+    html.theme--documenter-dark .textarea:not([rows]) {
+      max-height: 600px;
+      min-height: 120px; }
+    html.theme--documenter-dark .textarea[rows] {
+      height: initial; }
+    html.theme--documenter-dark .textarea.has-fixed-size {
+      resize: none; }
+  html.theme--documenter-dark .radio, html.theme--documenter-dark .checkbox {
+    cursor: pointer;
+    display: inline-block;
+    line-height: 1.25;
+    position: relative; }
+    html.theme--documenter-dark .radio input, html.theme--documenter-dark .checkbox input {
+      cursor: pointer; }
+    html.theme--documenter-dark .radio:hover, html.theme--documenter-dark .checkbox:hover {
+      color: #8c9b9d; }
+    html.theme--documenter-dark .radio[disabled], html.theme--documenter-dark .checkbox[disabled], fieldset[disabled] html.theme--documenter-dark .radio, fieldset[disabled] html.theme--documenter-dark .checkbox {
+      color: white;
+      cursor: not-allowed; }
+  html.theme--documenter-dark .radio + .radio {
+    margin-left: 0.5em; }
+  html.theme--documenter-dark .select {
+    display: inline-block;
+    max-width: 100%;
+    position: relative;
+    vertical-align: top; }
+    html.theme--documenter-dark .select:not(.is-multiple) {
+      height: 2.25em; }
+    html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after {
+      border-color: #1abc9c;
+      right: 1.125em;
+      z-index: 4; }
+    html.theme--documenter-dark .select.is-rounded select, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.select select {
+      border-radius: 290486px;
+      padding-left: 1em; }
+    html.theme--documenter-dark .select select {
+      cursor: pointer;
+      display: block;
+      font-size: 1em;
+      max-width: 100%;
+      outline: none; }
+      html.theme--documenter-dark .select select::-ms-expand {
+        display: none; }
+      html.theme--documenter-dark .select select[disabled]:hover, fieldset[disabled] html.theme--documenter-dark .select select:hover {
+        border-color: #282f2f; }
+      html.theme--documenter-dark .select select:not([multiple]) {
+        padding-right: 2.5em; }
+      html.theme--documenter-dark .select select[multiple] {
+        height: auto;
+        padding: 0; }
+        html.theme--documenter-dark .select select[multiple] option {
+          padding: 0.5em 1em; }
+    html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading):hover::after {
+      border-color: #8c9b9d; }
+    html.theme--documenter-dark .select.is-white:not(:hover)::after {
+      border-color: white; }
+    html.theme--documenter-dark .select.is-white select {
+      border-color: white; }
+      html.theme--documenter-dark .select.is-white select:hover, html.theme--documenter-dark .select.is-white select.is-hovered {
+        border-color: #f2f2f2; }
+      html.theme--documenter-dark .select.is-white select:focus, html.theme--documenter-dark .select.is-white select.is-focused, html.theme--documenter-dark .select.is-white select:active, html.theme--documenter-dark .select.is-white select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+    html.theme--documenter-dark .select.is-black:not(:hover)::after {
+      border-color: #0a0a0a; }
+    html.theme--documenter-dark .select.is-black select {
+      border-color: #0a0a0a; }
+      html.theme--documenter-dark .select.is-black select:hover, html.theme--documenter-dark .select.is-black select.is-hovered {
+        border-color: black; }
+      html.theme--documenter-dark .select.is-black select:focus, html.theme--documenter-dark .select.is-black select.is-focused, html.theme--documenter-dark .select.is-black select:active, html.theme--documenter-dark .select.is-black select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+    html.theme--documenter-dark .select.is-light:not(:hover)::after {
+      border-color: #ecf0f1; }
+    html.theme--documenter-dark .select.is-light select {
+      border-color: #ecf0f1; }
+      html.theme--documenter-dark .select.is-light select:hover, html.theme--documenter-dark .select.is-light select.is-hovered {
+        border-color: #dde4e6; }
+      html.theme--documenter-dark .select.is-light select:focus, html.theme--documenter-dark .select.is-light select.is-focused, html.theme--documenter-dark .select.is-light select:active, html.theme--documenter-dark .select.is-light select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); }
+    html.theme--documenter-dark .select.is-dark:not(:hover)::after, html.theme--documenter-dark .content kbd.select:not(:hover)::after {
+      border-color: #282f2f; }
+    html.theme--documenter-dark .select.is-dark select, html.theme--documenter-dark .content kbd.select select {
+      border-color: #282f2f; }
+      html.theme--documenter-dark .select.is-dark select:hover, html.theme--documenter-dark .content kbd.select select:hover, html.theme--documenter-dark .select.is-dark select.is-hovered, html.theme--documenter-dark .content kbd.select select.is-hovered {
+        border-color: #1d2122; }
+      html.theme--documenter-dark .select.is-dark select:focus, html.theme--documenter-dark .content kbd.select select:focus, html.theme--documenter-dark .select.is-dark select.is-focused, html.theme--documenter-dark .content kbd.select select.is-focused, html.theme--documenter-dark .select.is-dark select:active, html.theme--documenter-dark .content kbd.select select:active, html.theme--documenter-dark .select.is-dark select.is-active, html.theme--documenter-dark .content kbd.select select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); }
+    html.theme--documenter-dark .select.is-primary:not(:hover)::after, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink:not(:hover)::after {
+      border-color: #375a7f; }
+    html.theme--documenter-dark .select.is-primary select, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select {
+      border-color: #375a7f; }
+      html.theme--documenter-dark .select.is-primary select:hover, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:hover, html.theme--documenter-dark .select.is-primary select.is-hovered, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-hovered {
+        border-color: #2f4d6d; }
+      html.theme--documenter-dark .select.is-primary select:focus, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:focus, html.theme--documenter-dark .select.is-primary select.is-focused, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-focused, html.theme--documenter-dark .select.is-primary select:active, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:active, html.theme--documenter-dark .select.is-primary select.is-active, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); }
+    html.theme--documenter-dark .select.is-link:not(:hover)::after {
+      border-color: #1abc9c; }
+    html.theme--documenter-dark .select.is-link select {
+      border-color: #1abc9c; }
+      html.theme--documenter-dark .select.is-link select:hover, html.theme--documenter-dark .select.is-link select.is-hovered {
+        border-color: #17a689; }
+      html.theme--documenter-dark .select.is-link select:focus, html.theme--documenter-dark .select.is-link select.is-focused, html.theme--documenter-dark .select.is-link select:active, html.theme--documenter-dark .select.is-link select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .select.is-info:not(:hover)::after {
+      border-color: #024c7d; }
+    html.theme--documenter-dark .select.is-info select {
+      border-color: #024c7d; }
+      html.theme--documenter-dark .select.is-info select:hover, html.theme--documenter-dark .select.is-info select.is-hovered {
+        border-color: #023d64; }
+      html.theme--documenter-dark .select.is-info select:focus, html.theme--documenter-dark .select.is-info select.is-focused, html.theme--documenter-dark .select.is-info select:active, html.theme--documenter-dark .select.is-info select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); }
+    html.theme--documenter-dark .select.is-success:not(:hover)::after {
+      border-color: #008438; }
+    html.theme--documenter-dark .select.is-success select {
+      border-color: #008438; }
+      html.theme--documenter-dark .select.is-success select:hover, html.theme--documenter-dark .select.is-success select.is-hovered {
+        border-color: #006b2d; }
+      html.theme--documenter-dark .select.is-success select:focus, html.theme--documenter-dark .select.is-success select.is-focused, html.theme--documenter-dark .select.is-success select:active, html.theme--documenter-dark .select.is-success select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); }
+    html.theme--documenter-dark .select.is-warning:not(:hover)::after {
+      border-color: #ad8100; }
+    html.theme--documenter-dark .select.is-warning select {
+      border-color: #ad8100; }
+      html.theme--documenter-dark .select.is-warning select:hover, html.theme--documenter-dark .select.is-warning select.is-hovered {
+        border-color: #946e00; }
+      html.theme--documenter-dark .select.is-warning select:focus, html.theme--documenter-dark .select.is-warning select.is-focused, html.theme--documenter-dark .select.is-warning select:active, html.theme--documenter-dark .select.is-warning select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); }
+    html.theme--documenter-dark .select.is-danger:not(:hover)::after {
+      border-color: #9e1b0d; }
+    html.theme--documenter-dark .select.is-danger select {
+      border-color: #9e1b0d; }
+      html.theme--documenter-dark .select.is-danger select:hover, html.theme--documenter-dark .select.is-danger select.is-hovered {
+        border-color: #86170b; }
+      html.theme--documenter-dark .select.is-danger select:focus, html.theme--documenter-dark .select.is-danger select.is-focused, html.theme--documenter-dark .select.is-danger select:active, html.theme--documenter-dark .select.is-danger select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); }
+    html.theme--documenter-dark .select.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.select {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .select.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .select.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .select.is-disabled::after {
+      border-color: white; }
+    html.theme--documenter-dark .select.is-fullwidth {
+      width: 100%; }
+      html.theme--documenter-dark .select.is-fullwidth select {
+        width: 100%; }
+    html.theme--documenter-dark .select.is-loading::after {
+      margin-top: 0;
+      position: absolute;
+      right: 0.625em;
+      top: 0.625em;
+      transform: none; }
+    html.theme--documenter-dark .select.is-loading.is-small:after, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .select.is-loading.is-medium:after {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .select.is-loading.is-large:after {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .file {
+    align-items: stretch;
+    display: flex;
+    justify-content: flex-start;
+    position: relative; }
+    html.theme--documenter-dark .file.is-white .file-cta {
+      background-color: white;
+      border-color: transparent;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-white:hover .file-cta, html.theme--documenter-dark .file.is-white.is-hovered .file-cta {
+      background-color: #f9f9f9;
+      border-color: transparent;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-white:focus .file-cta, html.theme--documenter-dark .file.is-white.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(255, 255, 255, 0.25);
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-white:active .file-cta, html.theme--documenter-dark .file.is-white.is-active .file-cta {
+      background-color: #f2f2f2;
+      border-color: transparent;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-black .file-cta {
+      background-color: #0a0a0a;
+      border-color: transparent;
+      color: white; }
+    html.theme--documenter-dark .file.is-black:hover .file-cta, html.theme--documenter-dark .file.is-black.is-hovered .file-cta {
+      background-color: #040404;
+      border-color: transparent;
+      color: white; }
+    html.theme--documenter-dark .file.is-black:focus .file-cta, html.theme--documenter-dark .file.is-black.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(10, 10, 10, 0.25);
+      color: white; }
+    html.theme--documenter-dark .file.is-black:active .file-cta, html.theme--documenter-dark .file.is-black.is-active .file-cta {
+      background-color: black;
+      border-color: transparent;
+      color: white; }
+    html.theme--documenter-dark .file.is-light .file-cta {
+      background-color: #ecf0f1;
+      border-color: transparent;
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-light:hover .file-cta, html.theme--documenter-dark .file.is-light.is-hovered .file-cta {
+      background-color: #e5eaec;
+      border-color: transparent;
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-light:focus .file-cta, html.theme--documenter-dark .file.is-light.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(236, 240, 241, 0.25);
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-light:active .file-cta, html.theme--documenter-dark .file.is-light.is-active .file-cta {
+      background-color: #dde4e6;
+      border-color: transparent;
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-dark .file-cta, html.theme--documenter-dark .content kbd.file .file-cta {
+      background-color: #282f2f;
+      border-color: transparent;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-dark:hover .file-cta, html.theme--documenter-dark .content kbd.file:hover .file-cta, html.theme--documenter-dark .file.is-dark.is-hovered .file-cta, html.theme--documenter-dark .content kbd.file.is-hovered .file-cta {
+      background-color: #232829;
+      border-color: transparent;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-dark:focus .file-cta, html.theme--documenter-dark .content kbd.file:focus .file-cta, html.theme--documenter-dark .file.is-dark.is-focused .file-cta, html.theme--documenter-dark .content kbd.file.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(40, 47, 47, 0.25);
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-dark:active .file-cta, html.theme--documenter-dark .content kbd.file:active .file-cta, html.theme--documenter-dark .file.is-dark.is-active .file-cta, html.theme--documenter-dark .content kbd.file.is-active .file-cta {
+      background-color: #1d2122;
+      border-color: transparent;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-primary .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink .file-cta {
+      background-color: #375a7f;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-primary:hover .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:hover .file-cta, html.theme--documenter-dark .file.is-primary.is-hovered .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-hovered.docs-sourcelink .file-cta {
+      background-color: #335476;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-primary:focus .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:focus .file-cta, html.theme--documenter-dark .file.is-primary.is-focused .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-focused.docs-sourcelink .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(55, 90, 127, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-primary:active .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:active .file-cta, html.theme--documenter-dark .file.is-primary.is-active .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-active.docs-sourcelink .file-cta {
+      background-color: #2f4d6d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link .file-cta {
+      background-color: #1abc9c;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link:hover .file-cta, html.theme--documenter-dark .file.is-link.is-hovered .file-cta {
+      background-color: #18b193;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link:focus .file-cta, html.theme--documenter-dark .file.is-link.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(26, 188, 156, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link:active .file-cta, html.theme--documenter-dark .file.is-link.is-active .file-cta {
+      background-color: #17a689;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info .file-cta {
+      background-color: #024c7d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info:hover .file-cta, html.theme--documenter-dark .file.is-info.is-hovered .file-cta {
+      background-color: #024470;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info:focus .file-cta, html.theme--documenter-dark .file.is-info.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(2, 76, 125, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info:active .file-cta, html.theme--documenter-dark .file.is-info.is-active .file-cta {
+      background-color: #023d64;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success .file-cta {
+      background-color: #008438;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success:hover .file-cta, html.theme--documenter-dark .file.is-success.is-hovered .file-cta {
+      background-color: #007733;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success:focus .file-cta, html.theme--documenter-dark .file.is-success.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(0, 132, 56, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success:active .file-cta, html.theme--documenter-dark .file.is-success.is-active .file-cta {
+      background-color: #006b2d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning .file-cta {
+      background-color: #ad8100;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning:hover .file-cta, html.theme--documenter-dark .file.is-warning.is-hovered .file-cta {
+      background-color: #a07700;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning:focus .file-cta, html.theme--documenter-dark .file.is-warning.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(173, 129, 0, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning:active .file-cta, html.theme--documenter-dark .file.is-warning.is-active .file-cta {
+      background-color: #946e00;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger .file-cta {
+      background-color: #9e1b0d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger:hover .file-cta, html.theme--documenter-dark .file.is-danger.is-hovered .file-cta {
+      background-color: #92190c;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger:focus .file-cta, html.theme--documenter-dark .file.is-danger.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(158, 27, 13, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger:active .file-cta, html.theme--documenter-dark .file.is-danger.is-active .file-cta {
+      background-color: #86170b;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.file {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .file.is-medium {
+      font-size: 1.25rem; }
+      html.theme--documenter-dark .file.is-medium .file-icon .fa {
+        font-size: 21px; }
+    html.theme--documenter-dark .file.is-large {
+      font-size: 1.5rem; }
+      html.theme--documenter-dark .file.is-large .file-icon .fa {
+        font-size: 28px; }
+    html.theme--documenter-dark .file.has-name .file-cta {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0; }
+    html.theme--documenter-dark .file.has-name .file-name {
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    html.theme--documenter-dark .file.has-name.is-empty .file-cta {
+      border-radius: 0.4em; }
+    html.theme--documenter-dark .file.has-name.is-empty .file-name {
+      display: none; }
+    html.theme--documenter-dark .file.is-boxed .file-label {
+      flex-direction: column; }
+    html.theme--documenter-dark .file.is-boxed .file-cta {
+      flex-direction: column;
+      height: auto;
+      padding: 1em 3em; }
+    html.theme--documenter-dark .file.is-boxed .file-name {
+      border-width: 0 1px 1px; }
+    html.theme--documenter-dark .file.is-boxed .file-icon {
+      height: 1.5em;
+      width: 1.5em; }
+      html.theme--documenter-dark .file.is-boxed .file-icon .fa {
+        font-size: 21px; }
+    html.theme--documenter-dark .file.is-boxed.is-small .file-icon .fa, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-boxed .file-icon .fa {
+      font-size: 14px; }
+    html.theme--documenter-dark .file.is-boxed.is-medium .file-icon .fa {
+      font-size: 28px; }
+    html.theme--documenter-dark .file.is-boxed.is-large .file-icon .fa {
+      font-size: 35px; }
+    html.theme--documenter-dark .file.is-boxed.has-name .file-cta {
+      border-radius: 0.4em 0.4em 0 0; }
+    html.theme--documenter-dark .file.is-boxed.has-name .file-name {
+      border-radius: 0 0 0.4em 0.4em;
+      border-width: 0 1px 1px; }
+    html.theme--documenter-dark .file.is-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .file.is-fullwidth .file-label {
+      width: 100%; }
+    html.theme--documenter-dark .file.is-fullwidth .file-name {
+      flex-grow: 1;
+      max-width: none; }
+    html.theme--documenter-dark .file.is-right {
+      justify-content: flex-end; }
+      html.theme--documenter-dark .file.is-right .file-cta {
+        border-radius: 0 0.4em 0.4em 0; }
+      html.theme--documenter-dark .file.is-right .file-name {
+        border-radius: 0.4em 0 0 0.4em;
+        border-width: 1px 0 1px 1px;
+        order: -1; }
+  html.theme--documenter-dark .file-label {
+    align-items: stretch;
+    display: flex;
+    cursor: pointer;
+    justify-content: flex-start;
+    overflow: hidden;
+    position: relative; }
+    html.theme--documenter-dark .file-label:hover .file-cta {
+      background-color: #e5eaec;
+      color: #282f2f; }
+    html.theme--documenter-dark .file-label:hover .file-name {
+      border-color: #596668; }
+    html.theme--documenter-dark .file-label:active .file-cta {
+      background-color: #dde4e6;
+      color: #282f2f; }
+    html.theme--documenter-dark .file-label:active .file-name {
+      border-color: #535f61; }
+  html.theme--documenter-dark .file-input {
+    height: 100%;
+    left: 0;
+    opacity: 0;
+    outline: none;
+    position: absolute;
+    top: 0;
+    width: 100%; }
+  html.theme--documenter-dark .file-cta,
+  html.theme--documenter-dark .file-name {
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    font-size: 1em;
+    padding-left: 1em;
+    padding-right: 1em;
+    white-space: nowrap; }
+  html.theme--documenter-dark .file-cta {
+    background-color: #ecf0f1;
+    color: #343c3d; }
+  html.theme--documenter-dark .file-name {
+    border-color: #5e6d6f;
+    border-style: solid;
+    border-width: 1px 1px 1px 0;
+    display: block;
+    max-width: 16em;
+    overflow: hidden;
+    text-align: left;
+    text-overflow: ellipsis; }
+  html.theme--documenter-dark .file-icon {
+    align-items: center;
+    display: flex;
+    height: 1em;
+    justify-content: center;
+    margin-right: 0.5em;
+    width: 1em; }
+    html.theme--documenter-dark .file-icon .fa {
+      font-size: 14px; }
+  html.theme--documenter-dark .label {
+    color: #282f2f;
+    display: block;
+    font-size: 15px;
+    font-weight: 700; }
+    html.theme--documenter-dark .label:not(:last-child) {
+      margin-bottom: 0.5em; }
+    html.theme--documenter-dark .label.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.label {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .label.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .label.is-large {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .help {
+    display: block;
+    font-size: 0.85em;
+    margin-top: 0.25rem; }
+    html.theme--documenter-dark .help.is-white {
+      color: white; }
+    html.theme--documenter-dark .help.is-black {
+      color: #0a0a0a; }
+    html.theme--documenter-dark .help.is-light {
+      color: #ecf0f1; }
+    html.theme--documenter-dark .help.is-dark, html.theme--documenter-dark .content kbd.help {
+      color: #282f2f; }
+    html.theme--documenter-dark .help.is-primary, html.theme--documenter-dark .docstring > section > a.help.docs-sourcelink {
+      color: #375a7f; }
+    html.theme--documenter-dark .help.is-link {
+      color: #1abc9c; }
+    html.theme--documenter-dark .help.is-info {
+      color: #024c7d; }
+    html.theme--documenter-dark .help.is-success {
+      color: #008438; }
+    html.theme--documenter-dark .help.is-warning {
+      color: #ad8100; }
+    html.theme--documenter-dark .help.is-danger {
+      color: #9e1b0d; }
+  html.theme--documenter-dark .field:not(:last-child) {
+    margin-bottom: 0.75rem; }
+  html.theme--documenter-dark .field.has-addons {
+    display: flex;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .field.has-addons .control:not(:last-child) {
+      margin-right: -1px; }
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .button,
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .input,
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search > input,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search > input,
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .select select {
+      border-radius: 0; }
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .button,
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .input,
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search > input,
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .select select {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0; }
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .button,
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .input,
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search > input,
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .select select {
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):hover, html.theme--documenter-dark .field.has-addons .control .button.is-hovered:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):hover,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):hover,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):hover,
+    html.theme--documenter-dark .field.has-addons .control .input.is-hovered:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-hovered:not([disabled]),
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-hovered:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):hover,
+    html.theme--documenter-dark .field.has-addons .control .select select.is-hovered:not([disabled]) {
+      z-index: 2; }
+    html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):focus, html.theme--documenter-dark .field.has-addons .control .button.is-focused:not([disabled]), html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):active, html.theme--documenter-dark .field.has-addons .control .button.is-active:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):focus,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus,
+    html.theme--documenter-dark .field.has-addons .control .input.is-focused:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]),
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):active,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active,
+    html.theme--documenter-dark .field.has-addons .control .input.is-active:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]),
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):focus,
+    html.theme--documenter-dark .field.has-addons .control .select select.is-focused:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):active,
+    html.theme--documenter-dark .field.has-addons .control .select select.is-active:not([disabled]) {
+      z-index: 3; }
+      html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):focus:hover, html.theme--documenter-dark .field.has-addons .control .button.is-focused:not([disabled]):hover, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):active:hover, html.theme--documenter-dark .field.has-addons .control .button.is-active:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):focus:hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus:hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus:hover,
+      html.theme--documenter-dark .field.has-addons .control .input.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):active:hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active:hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active:hover,
+      html.theme--documenter-dark .field.has-addons .control .input.is-active:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]):hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):focus:hover,
+      html.theme--documenter-dark .field.has-addons .control .select select.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):active:hover,
+      html.theme--documenter-dark .field.has-addons .control .select select.is-active:not([disabled]):hover {
+        z-index: 4; }
+    html.theme--documenter-dark .field.has-addons .control.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .field.has-addons.has-addons-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .field.has-addons.has-addons-right {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .field.has-addons.has-addons-fullwidth .control {
+      flex-grow: 1;
+      flex-shrink: 0; }
+  html.theme--documenter-dark .field.is-grouped {
+    display: flex;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .field.is-grouped > .control {
+      flex-shrink: 0; }
+      html.theme--documenter-dark .field.is-grouped > .control:not(:last-child) {
+        margin-bottom: 0;
+        margin-right: 0.75rem; }
+      html.theme--documenter-dark .field.is-grouped > .control.is-expanded {
+        flex-grow: 1;
+        flex-shrink: 1; }
+    html.theme--documenter-dark .field.is-grouped.is-grouped-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .field.is-grouped.is-grouped-right {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .field.is-grouped.is-grouped-multiline {
+      flex-wrap: wrap; }
+      html.theme--documenter-dark .field.is-grouped.is-grouped-multiline > .control:last-child, html.theme--documenter-dark .field.is-grouped.is-grouped-multiline > .control:not(:last-child) {
+        margin-bottom: 0.75rem; }
+      html.theme--documenter-dark .field.is-grouped.is-grouped-multiline:last-child {
+        margin-bottom: -0.75rem; }
+      html.theme--documenter-dark .field.is-grouped.is-grouped-multiline:not(:last-child) {
+        margin-bottom: 0; }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .field.is-horizontal {
+      display: flex; } }
+  html.theme--documenter-dark .field-label .label {
+    font-size: inherit; }
+  @media screen and (max-width: 768px) {
+    html.theme--documenter-dark .field-label {
+      margin-bottom: 0.5rem; } }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .field-label {
+      flex-basis: 0;
+      flex-grow: 1;
+      flex-shrink: 0;
+      margin-right: 1.5rem;
+      text-align: right; }
+      html.theme--documenter-dark .field-label.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.field-label {
+        font-size: 0.85em;
+        padding-top: 0.375em; }
+      html.theme--documenter-dark .field-label.is-normal {
+        padding-top: 0.375em; }
+      html.theme--documenter-dark .field-label.is-medium {
+        font-size: 1.25rem;
+        padding-top: 0.375em; }
+      html.theme--documenter-dark .field-label.is-large {
+        font-size: 1.5rem;
+        padding-top: 0.375em; } }
+  html.theme--documenter-dark .field-body .field .field {
+    margin-bottom: 0; }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .field-body {
+      display: flex;
+      flex-basis: 0;
+      flex-grow: 5;
+      flex-shrink: 1; }
+      html.theme--documenter-dark .field-body .field {
+        margin-bottom: 0; }
+      html.theme--documenter-dark .field-body > .field {
+        flex-shrink: 1; }
+        html.theme--documenter-dark .field-body > .field:not(.is-narrow) {
+          flex-grow: 1; }
+        html.theme--documenter-dark .field-body > .field:not(:last-child) {
+          margin-right: 0.75rem; } }
+  html.theme--documenter-dark .control {
+    box-sizing: border-box;
+    clear: both;
+    font-size: 15px;
+    position: relative;
+    text-align: left; }
+    html.theme--documenter-dark .control.has-icons-left .input:focus ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input:focus ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select:focus ~ .icon, html.theme--documenter-dark .control.has-icons-right .input:focus ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input:focus ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select:focus ~ .icon {
+      color: #5e6d6f; }
+    html.theme--documenter-dark .control.has-icons-left .input.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select.is-small ~ .icon {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .control.has-icons-left .input.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-medium ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-medium ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select.is-medium ~ .icon {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .control.has-icons-left .input.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-large ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-large ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select.is-large ~ .icon {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .control.has-icons-left .icon, html.theme--documenter-dark .control.has-icons-right .icon {
+      color: #dbdee0;
+      height: 2.25em;
+      pointer-events: none;
+      position: absolute;
+      top: 0;
+      width: 2.25em;
+      z-index: 4; }
+    html.theme--documenter-dark .control.has-icons-left .input, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input,
+    html.theme--documenter-dark .control.has-icons-left .select select {
+      padding-left: 2.25em; }
+    html.theme--documenter-dark .control.has-icons-left .icon.is-left {
+      left: 0; }
+    html.theme--documenter-dark .control.has-icons-right .input, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input,
+    html.theme--documenter-dark .control.has-icons-right .select select {
+      padding-right: 2.25em; }
+    html.theme--documenter-dark .control.has-icons-right .icon.is-right {
+      right: 0; }
+    html.theme--documenter-dark .control.is-loading::after {
+      position: absolute !important;
+      right: 0.625em;
+      top: 0.625em;
+      z-index: 4; }
+    html.theme--documenter-dark .control.is-loading.is-small:after, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .control.is-loading.is-medium:after {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .control.is-loading.is-large:after {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .breadcrumb {
+    font-size: 15px;
+    white-space: nowrap; }
+    html.theme--documenter-dark .breadcrumb a {
+      align-items: center;
+      color: #1abc9c;
+      display: flex;
+      justify-content: center;
+      padding: 0 0.75em; }
+      html.theme--documenter-dark .breadcrumb a:hover {
+        color: #1dd2af; }
+    html.theme--documenter-dark .breadcrumb li {
+      align-items: center;
+      display: flex; }
+      html.theme--documenter-dark .breadcrumb li:first-child a {
+        padding-left: 0; }
+      html.theme--documenter-dark .breadcrumb li.is-active a {
+        color: #f2f2f2;
+        cursor: default;
+        pointer-events: none; }
+      html.theme--documenter-dark .breadcrumb li + li::before {
+        color: #8c9b9d;
+        content: "\0002f"; }
+    html.theme--documenter-dark .breadcrumb ul,
+    html.theme--documenter-dark .breadcrumb ol {
+      align-items: flex-start;
+      display: flex;
+      flex-wrap: wrap;
+      justify-content: flex-start; }
+    html.theme--documenter-dark .breadcrumb .icon:first-child {
+      margin-right: 0.5em; }
+    html.theme--documenter-dark .breadcrumb .icon:last-child {
+      margin-left: 0.5em; }
+    html.theme--documenter-dark .breadcrumb.is-centered ol,
+    html.theme--documenter-dark .breadcrumb.is-centered ul {
+      justify-content: center; }
+    html.theme--documenter-dark .breadcrumb.is-right ol,
+    html.theme--documenter-dark .breadcrumb.is-right ul {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .breadcrumb.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.breadcrumb {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .breadcrumb.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .breadcrumb.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .breadcrumb.has-arrow-separator li + li::before {
+      content: "\02192"; }
+    html.theme--documenter-dark .breadcrumb.has-bullet-separator li + li::before {
+      content: "\02022"; }
+    html.theme--documenter-dark .breadcrumb.has-dot-separator li + li::before {
+      content: "\000b7"; }
+    html.theme--documenter-dark .breadcrumb.has-succeeds-separator li + li::before {
+      content: "\0227B"; }
+  html.theme--documenter-dark .card {
+    background-color: white;
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+    color: #fff;
+    max-width: 100%;
+    position: relative; }
+  html.theme--documenter-dark .card-header {
+    background-color: transparent;
+    align-items: stretch;
+    box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+    display: flex; }
+  html.theme--documenter-dark .card-header-title {
+    align-items: center;
+    color: #f2f2f2;
+    display: flex;
+    flex-grow: 1;
+    font-weight: 700;
+    padding: 0.75rem; }
+    html.theme--documenter-dark .card-header-title.is-centered {
+      justify-content: center; }
+  html.theme--documenter-dark .card-header-icon {
+    align-items: center;
+    cursor: pointer;
+    display: flex;
+    justify-content: center;
+    padding: 0.75rem; }
+  html.theme--documenter-dark .card-image {
+    display: block;
+    position: relative; }
+  html.theme--documenter-dark .card-content {
+    background-color: transparent;
+    padding: 1.5rem; }
+  html.theme--documenter-dark .card-footer {
+    background-color: transparent;
+    border-top: 1px solid #5e6d6f;
+    align-items: stretch;
+    display: flex; }
+  html.theme--documenter-dark .card-footer-item {
+    align-items: center;
+    display: flex;
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 0;
+    justify-content: center;
+    padding: 0.75rem; }
+    html.theme--documenter-dark .card-footer-item:not(:last-child) {
+      border-right: 1px solid #5e6d6f; }
+  html.theme--documenter-dark .card .media:not(:last-child) {
+    margin-bottom: 1.5rem; }
+  html.theme--documenter-dark .dropdown {
+    display: inline-flex;
+    position: relative;
+    vertical-align: top; }
+    html.theme--documenter-dark .dropdown.is-active .dropdown-menu, html.theme--documenter-dark .dropdown.is-hoverable:hover .dropdown-menu {
+      display: block; }
+    html.theme--documenter-dark .dropdown.is-right .dropdown-menu {
+      left: auto;
+      right: 0; }
+    html.theme--documenter-dark .dropdown.is-up .dropdown-menu {
+      bottom: 100%;
+      padding-bottom: 4px;
+      padding-top: initial;
+      top: auto; }
+  html.theme--documenter-dark .dropdown-menu {
+    display: none;
+    left: 0;
+    min-width: 12rem;
+    padding-top: 4px;
+    position: absolute;
+    top: 100%;
+    z-index: 20; }
+  html.theme--documenter-dark .dropdown-content {
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+    padding-bottom: 0.5rem;
+    padding-top: 0.5rem; }
+  html.theme--documenter-dark .dropdown-item {
+    color: #fff;
+    display: block;
+    font-size: 0.875rem;
+    line-height: 1.5;
+    padding: 0.375rem 1rem;
+    position: relative; }
+  html.theme--documenter-dark a.dropdown-item,
+  html.theme--documenter-dark button.dropdown-item {
+    padding-right: 3rem;
+    text-align: left;
+    white-space: nowrap;
+    width: 100%; }
+    html.theme--documenter-dark a.dropdown-item:hover,
+    html.theme--documenter-dark button.dropdown-item:hover {
+      background-color: #282f2f;
+      color: #0a0a0a; }
+    html.theme--documenter-dark a.dropdown-item.is-active,
+    html.theme--documenter-dark button.dropdown-item.is-active {
+      background-color: #1abc9c;
+      color: #fff; }
+  html.theme--documenter-dark .dropdown-divider {
+    background-color: #5e6d6f;
+    border: none;
+    display: block;
+    height: 1px;
+    margin: 0.5rem 0; }
+  html.theme--documenter-dark .level {
+    align-items: center;
+    justify-content: space-between; }
+    html.theme--documenter-dark .level code {
+      border-radius: 0.4em; }
+    html.theme--documenter-dark .level img {
+      display: inline-block;
+      vertical-align: top; }
+    html.theme--documenter-dark .level.is-mobile {
+      display: flex; }
+      html.theme--documenter-dark .level.is-mobile .level-left,
+      html.theme--documenter-dark .level.is-mobile .level-right {
+        display: flex; }
+      html.theme--documenter-dark .level.is-mobile .level-left + .level-right {
+        margin-top: 0; }
+      html.theme--documenter-dark .level.is-mobile .level-item:not(:last-child) {
+        margin-bottom: 0;
+        margin-right: 0.75rem; }
+      html.theme--documenter-dark .level.is-mobile .level-item:not(.is-narrow) {
+        flex-grow: 1; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level {
+        display: flex; }
+        html.theme--documenter-dark .level > .level-item:not(.is-narrow) {
+          flex-grow: 1; } }
+  html.theme--documenter-dark .level-item {
+    align-items: center;
+    display: flex;
+    flex-basis: auto;
+    flex-grow: 0;
+    flex-shrink: 0;
+    justify-content: center; }
+    html.theme--documenter-dark .level-item .title,
+    html.theme--documenter-dark .level-item .subtitle {
+      margin-bottom: 0; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .level-item:not(:last-child) {
+        margin-bottom: 0.75rem; } }
+  html.theme--documenter-dark .level-left,
+  html.theme--documenter-dark .level-right {
+    flex-basis: auto;
+    flex-grow: 0;
+    flex-shrink: 0; }
+    html.theme--documenter-dark .level-left .level-item.is-flexible,
+    html.theme--documenter-dark .level-right .level-item.is-flexible {
+      flex-grow: 1; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level-left .level-item:not(:last-child),
+      html.theme--documenter-dark .level-right .level-item:not(:last-child) {
+        margin-right: 0.75rem; } }
+  html.theme--documenter-dark .level-left {
+    align-items: center;
+    justify-content: flex-start; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .level-left + .level-right {
+        margin-top: 1.5rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level-left {
+        display: flex; } }
+  html.theme--documenter-dark .level-right {
+    align-items: center;
+    justify-content: flex-end; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level-right {
+        display: flex; } }
+  html.theme--documenter-dark .list {
+    background-color: white;
+    border-radius: 0.4em;
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); }
+  html.theme--documenter-dark .list-item {
+    display: block;
+    padding: 0.5em 1em; }
+    html.theme--documenter-dark .list-item:not(a) {
+      color: #fff; }
+    html.theme--documenter-dark .list-item:first-child {
+      border-top-left-radius: 0.4em;
+      border-top-right-radius: 0.4em; }
+    html.theme--documenter-dark .list-item:last-child {
+      border-bottom-left-radius: 0.4em;
+      border-bottom-right-radius: 0.4em; }
+    html.theme--documenter-dark .list-item:not(:last-child) {
+      border-bottom: 1px solid #5e6d6f; }
+    html.theme--documenter-dark .list-item.is-active {
+      background-color: #1abc9c;
+      color: #fff; }
+  html.theme--documenter-dark a.list-item {
+    background-color: #282f2f;
+    cursor: pointer; }
+  html.theme--documenter-dark .media {
+    align-items: flex-start;
+    display: flex;
+    text-align: left; }
+    html.theme--documenter-dark .media .content:not(:last-child) {
+      margin-bottom: 0.75rem; }
+    html.theme--documenter-dark .media .media {
+      border-top: 1px solid rgba(94, 109, 111, 0.5);
+      display: flex;
+      padding-top: 0.75rem; }
+      html.theme--documenter-dark .media .media .content:not(:last-child),
+      html.theme--documenter-dark .media .media .control:not(:last-child) {
+        margin-bottom: 0.5rem; }
+      html.theme--documenter-dark .media .media .media {
+        padding-top: 0.5rem; }
+        html.theme--documenter-dark .media .media .media + .media {
+          margin-top: 0.5rem; }
+    html.theme--documenter-dark .media + .media {
+      border-top: 1px solid rgba(94, 109, 111, 0.5);
+      margin-top: 1rem;
+      padding-top: 1rem; }
+    html.theme--documenter-dark .media.is-large + .media {
+      margin-top: 1.5rem;
+      padding-top: 1.5rem; }
+  html.theme--documenter-dark .media-left,
+  html.theme--documenter-dark .media-right {
+    flex-basis: auto;
+    flex-grow: 0;
+    flex-shrink: 0; }
+  html.theme--documenter-dark .media-left {
+    margin-right: 1rem; }
+  html.theme--documenter-dark .media-right {
+    margin-left: 1rem; }
+  html.theme--documenter-dark .media-content {
+    flex-basis: auto;
+    flex-grow: 1;
+    flex-shrink: 1;
+    text-align: left; }
+  @media screen and (max-width: 768px) {
+    html.theme--documenter-dark .media-content {
+      overflow-x: auto; } }
+  html.theme--documenter-dark .menu {
+    font-size: 15px; }
+    html.theme--documenter-dark .menu.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.menu {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .menu.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .menu.is-large {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .menu-list {
+    line-height: 1.25; }
+    html.theme--documenter-dark .menu-list a {
+      border-radius: 3px;
+      color: #fff;
+      display: block;
+      padding: 0.5em 0.75em; }
+      html.theme--documenter-dark .menu-list a:hover {
+        background-color: #282f2f;
+        color: #f2f2f2; }
+      html.theme--documenter-dark .menu-list a.is-active {
+        background-color: #1abc9c;
+        color: #fff; }
+    html.theme--documenter-dark .menu-list li ul {
+      border-left: 1px solid #5e6d6f;
+      margin: 0.75em;
+      padding-left: 0.75em; }
+  html.theme--documenter-dark .menu-label {
+    color: white;
+    font-size: 0.75em;
+    letter-spacing: 0.1em;
+    text-transform: uppercase; }
+    html.theme--documenter-dark .menu-label:not(:first-child) {
+      margin-top: 1em; }
+    html.theme--documenter-dark .menu-label:not(:last-child) {
+      margin-bottom: 1em; }
+  html.theme--documenter-dark .message {
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    font-size: 15px; }
+    html.theme--documenter-dark .message strong {
+      color: currentColor; }
+    html.theme--documenter-dark .message a:not(.button):not(.tag):not(.dropdown-item) {
+      color: currentColor;
+      text-decoration: underline; }
+    html.theme--documenter-dark .message.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.message {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .message.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .message.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .message.is-white {
+      background-color: white; }
+      html.theme--documenter-dark .message.is-white .message-header {
+        background-color: white;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .message.is-white .message-body {
+        border-color: white;
+        color: #4d4d4d; }
+    html.theme--documenter-dark .message.is-black {
+      background-color: #fafafa; }
+      html.theme--documenter-dark .message.is-black .message-header {
+        background-color: #0a0a0a;
+        color: white; }
+      html.theme--documenter-dark .message.is-black .message-body {
+        border-color: #0a0a0a;
+        color: #090909; }
+    html.theme--documenter-dark .message.is-light {
+      background-color: #f9fafb; }
+      html.theme--documenter-dark .message.is-light .message-header {
+        background-color: #ecf0f1;
+        color: #282f2f; }
+      html.theme--documenter-dark .message.is-light .message-body {
+        border-color: #ecf0f1;
+        color: #505050; }
+    html.theme--documenter-dark .message.is-dark, html.theme--documenter-dark .content kbd.message {
+      background-color: #f9fafa; }
+      html.theme--documenter-dark .message.is-dark .message-header, html.theme--documenter-dark .content kbd.message .message-header {
+        background-color: #282f2f;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .message.is-dark .message-body, html.theme--documenter-dark .content kbd.message .message-body {
+        border-color: #282f2f;
+        color: #212526; }
+    html.theme--documenter-dark .message.is-primary, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink {
+      background-color: #f8fafc; }
+      html.theme--documenter-dark .message.is-primary .message-header, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink .message-header {
+        background-color: #375a7f;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-primary .message-body, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink .message-body {
+        border-color: #375a7f;
+        color: #2b4159; }
+    html.theme--documenter-dark .message.is-link {
+      background-color: #f6fefc; }
+      html.theme--documenter-dark .message.is-link .message-header {
+        background-color: #1abc9c;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-link .message-body {
+        border-color: #1abc9c;
+        color: #0b2f28; }
+    html.theme--documenter-dark .message.is-info {
+      background-color: #f5fbff; }
+      html.theme--documenter-dark .message.is-info .message-header {
+        background-color: #024c7d;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-info .message-body {
+        border-color: #024c7d;
+        color: #033659; }
+    html.theme--documenter-dark .message.is-success {
+      background-color: #f5fff9; }
+      html.theme--documenter-dark .message.is-success .message-header {
+        background-color: #008438;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-success .message-body {
+        border-color: #008438;
+        color: #023518; }
+    html.theme--documenter-dark .message.is-warning {
+      background-color: #fffcf5; }
+      html.theme--documenter-dark .message.is-warning .message-header {
+        background-color: #ad8100;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-warning .message-body {
+        border-color: #ad8100;
+        color: #3d2e03; }
+    html.theme--documenter-dark .message.is-danger {
+      background-color: #fef6f6; }
+      html.theme--documenter-dark .message.is-danger .message-header {
+        background-color: #9e1b0d;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-danger .message-body {
+        border-color: #9e1b0d;
+        color: #7a170c; }
+  html.theme--documenter-dark .message-header {
+    align-items: center;
+    background-color: #fff;
+    border-radius: 0.4em 0.4em 0 0;
+    color: rgba(0, 0, 0, 0.7);
+    display: flex;
+    font-weight: 700;
+    justify-content: space-between;
+    line-height: 1.25;
+    padding: 0.75em 1em;
+    position: relative; }
+    html.theme--documenter-dark .message-header .delete {
+      flex-grow: 0;
+      flex-shrink: 0;
+      margin-left: 0.75em; }
+    html.theme--documenter-dark .message-header + .message-body {
+      border-width: 0;
+      border-top-left-radius: 0;
+      border-top-right-radius: 0; }
+  html.theme--documenter-dark .message-body {
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    border-style: solid;
+    border-width: 0 0 0 4px;
+    color: #fff;
+    padding: 1.25em 1.5em; }
+    html.theme--documenter-dark .message-body code,
+    html.theme--documenter-dark .message-body pre {
+      background-color: white; }
+    html.theme--documenter-dark .message-body pre code {
+      background-color: transparent; }
+  html.theme--documenter-dark .modal {
+    align-items: center;
+    display: none;
+    flex-direction: column;
+    justify-content: center;
+    overflow: hidden;
+    position: fixed;
+    z-index: 40; }
+    html.theme--documenter-dark .modal.is-active {
+      display: flex; }
+  html.theme--documenter-dark .modal-background {
+    background-color: rgba(10, 10, 10, 0.86); }
+  html.theme--documenter-dark .modal-content,
+  html.theme--documenter-dark .modal-card {
+    margin: 0 20px;
+    max-height: calc(100vh - 160px);
+    overflow: auto;
+    position: relative;
+    width: 100%; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .modal-content,
+      html.theme--documenter-dark .modal-card {
+        margin: 0 auto;
+        max-height: calc(100vh - 40px);
+        width: 640px; } }
+  html.theme--documenter-dark .modal-close {
+    background: none;
+    height: 40px;
+    position: fixed;
+    right: 20px;
+    top: 20px;
+    width: 40px; }
+  html.theme--documenter-dark .modal-card {
+    display: flex;
+    flex-direction: column;
+    max-height: calc(100vh - 40px);
+    overflow: hidden;
+    -ms-overflow-y: visible; }
+  html.theme--documenter-dark .modal-card-head,
+  html.theme--documenter-dark .modal-card-foot {
+    align-items: center;
+    background-color: #282f2f;
+    display: flex;
+    flex-shrink: 0;
+    justify-content: flex-start;
+    padding: 20px;
+    position: relative; }
+  html.theme--documenter-dark .modal-card-head {
+    border-bottom: 1px solid #5e6d6f;
+    border-top-left-radius: 8px;
+    border-top-right-radius: 8px; }
+  html.theme--documenter-dark .modal-card-title {
+    color: #f2f2f2;
+    flex-grow: 1;
+    flex-shrink: 0;
+    font-size: 1.5rem;
+    line-height: 1; }
+  html.theme--documenter-dark .modal-card-foot {
+    border-bottom-left-radius: 8px;
+    border-bottom-right-radius: 8px;
+    border-top: 1px solid #5e6d6f; }
+    html.theme--documenter-dark .modal-card-foot .button:not(:last-child) {
+      margin-right: 0.5em; }
+  html.theme--documenter-dark .modal-card-body {
+    -webkit-overflow-scrolling: touch;
+    background-color: white;
+    flex-grow: 1;
+    flex-shrink: 1;
+    overflow: auto;
+    padding: 20px; }
+  html.theme--documenter-dark .navbar {
+    background-color: #375a7f;
+    min-height: 4rem;
+    position: relative;
+    z-index: 30; }
+    html.theme--documenter-dark .navbar.is-white {
+      background-color: white;
+      color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link {
+        color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link.is-active {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link::after {
+        border-color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-burger {
+        color: #0a0a0a; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-white .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link {
+          color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link.is-active {
+          background-color: #f2f2f2;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link::after {
+          border-color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #f2f2f2;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-dropdown a.navbar-item.is-active {
+          background-color: white;
+          color: #0a0a0a; } }
+    html.theme--documenter-dark .navbar.is-black {
+      background-color: #0a0a0a;
+      color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link {
+        color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link.is-active {
+        background-color: black;
+        color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link::after {
+        border-color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-burger {
+        color: white; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-black .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link {
+          color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link.is-active {
+          background-color: black;
+          color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link::after {
+          border-color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: black;
+          color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-dropdown a.navbar-item.is-active {
+          background-color: #0a0a0a;
+          color: white; } }
+    html.theme--documenter-dark .navbar.is-light {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link {
+        color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link.is-active {
+        background-color: #dde4e6;
+        color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link::after {
+        border-color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-burger {
+        color: #282f2f; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-light .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link {
+          color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link.is-active {
+          background-color: #dde4e6;
+          color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link::after {
+          border-color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #dde4e6;
+          color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-dropdown a.navbar-item.is-active {
+          background-color: #ecf0f1;
+          color: #282f2f; } }
+    html.theme--documenter-dark .navbar.is-dark, html.theme--documenter-dark .content kbd.navbar {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand > .navbar-item, html.theme--documenter-dark .content kbd.navbar .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link {
+        color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link.is-active,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link.is-active {
+        background-color: #1d2122;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link::after, html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link::after {
+        border-color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-burger, html.theme--documenter-dark .content kbd.navbar .navbar-burger {
+        color: #ecf0f1; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-dark .navbar-start > .navbar-item, html.theme--documenter-dark .content kbd.navbar .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > .navbar-item,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link {
+          color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link.is-active,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link.is-active {
+          background-color: #1d2122;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link::after, html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link::after,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link::after {
+          border-color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown.is-active .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #1d2122;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-dropdown a.navbar-item.is-active {
+          background-color: #282f2f;
+          color: #ecf0f1; } }
+    html.theme--documenter-dark .navbar.is-primary, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink {
+      background-color: #375a7f;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand > .navbar-item, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link.is-active,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link.is-active {
+        background-color: #2f4d6d;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link::after, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-burger, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-primary .navbar-start > .navbar-item, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > .navbar-item,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link.is-active,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link.is-active {
+          background-color: #2f4d6d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link::after, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link::after,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown.is-active .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #2f4d6d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active {
+          background-color: #375a7f;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-link {
+      background-color: #1abc9c;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link.is-active {
+        background-color: #17a689;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-link .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link.is-active {
+          background-color: #17a689;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #17a689;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-dropdown a.navbar-item.is-active {
+          background-color: #1abc9c;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-info {
+      background-color: #024c7d;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link.is-active {
+        background-color: #023d64;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-info .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link.is-active {
+          background-color: #023d64;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #023d64;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-dropdown a.navbar-item.is-active {
+          background-color: #024c7d;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-success {
+      background-color: #008438;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link.is-active {
+        background-color: #006b2d;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-success .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link.is-active {
+          background-color: #006b2d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #006b2d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-dropdown a.navbar-item.is-active {
+          background-color: #008438;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-warning {
+      background-color: #ad8100;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link.is-active {
+        background-color: #946e00;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-warning .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link.is-active {
+          background-color: #946e00;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #946e00;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-dropdown a.navbar-item.is-active {
+          background-color: #ad8100;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-danger {
+      background-color: #9e1b0d;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link.is-active {
+        background-color: #86170b;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-danger .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link.is-active {
+          background-color: #86170b;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #86170b;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-dropdown a.navbar-item.is-active {
+          background-color: #9e1b0d;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar > .container {
+      align-items: stretch;
+      display: flex;
+      min-height: 4rem;
+      width: 100%; }
+    html.theme--documenter-dark .navbar.has-shadow {
+      box-shadow: 0 2px 0 0 #282f2f; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom, html.theme--documenter-dark .navbar.is-fixed-top {
+      left: 0;
+      position: fixed;
+      right: 0;
+      z-index: 30; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom {
+      bottom: 0; }
+      html.theme--documenter-dark .navbar.is-fixed-bottom.has-shadow {
+        box-shadow: 0 -2px 0 0 #282f2f; }
+    html.theme--documenter-dark .navbar.is-fixed-top {
+      top: 0; }
+  html.theme--documenter-dark html.has-navbar-fixed-top,
+  html.theme--documenter-dark body.has-navbar-fixed-top {
+    padding-top: 4rem; }
+  html.theme--documenter-dark html.has-navbar-fixed-bottom,
+  html.theme--documenter-dark body.has-navbar-fixed-bottom {
+    padding-bottom: 4rem; }
+  html.theme--documenter-dark .navbar-brand,
+  html.theme--documenter-dark .navbar-tabs {
+    align-items: stretch;
+    display: flex;
+    flex-shrink: 0;
+    min-height: 4rem; }
+  html.theme--documenter-dark .navbar-brand a.navbar-item:focus, html.theme--documenter-dark .navbar-brand a.navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .navbar-tabs {
+    -webkit-overflow-scrolling: touch;
+    max-width: 100vw;
+    overflow-x: auto;
+    overflow-y: hidden; }
+  html.theme--documenter-dark .navbar-burger {
+    color: #fff;
+    cursor: pointer;
+    display: block;
+    height: 4rem;
+    position: relative;
+    width: 4rem;
+    margin-left: auto; }
+    html.theme--documenter-dark .navbar-burger span {
+      background-color: currentColor;
+      display: block;
+      height: 1px;
+      left: calc(50% - 8px);
+      position: absolute;
+      transform-origin: center;
+      transition-duration: 86ms;
+      transition-property: background-color, opacity, transform;
+      transition-timing-function: ease-out;
+      width: 16px; }
+      html.theme--documenter-dark .navbar-burger span:nth-child(1) {
+        top: calc(50% - 6px); }
+      html.theme--documenter-dark .navbar-burger span:nth-child(2) {
+        top: calc(50% - 1px); }
+      html.theme--documenter-dark .navbar-burger span:nth-child(3) {
+        top: calc(50% + 4px); }
+    html.theme--documenter-dark .navbar-burger:hover {
+      background-color: rgba(0, 0, 0, 0.05); }
+    html.theme--documenter-dark .navbar-burger.is-active span:nth-child(1) {
+      transform: translateY(5px) rotate(45deg); }
+    html.theme--documenter-dark .navbar-burger.is-active span:nth-child(2) {
+      opacity: 0; }
+    html.theme--documenter-dark .navbar-burger.is-active span:nth-child(3) {
+      transform: translateY(-5px) rotate(-45deg); }
+  html.theme--documenter-dark .navbar-menu {
+    display: none; }
+  html.theme--documenter-dark .navbar-item,
+  html.theme--documenter-dark .navbar-link {
+    color: #fff;
+    display: block;
+    line-height: 1.5;
+    padding: 0.5rem 0.75rem;
+    position: relative; }
+    html.theme--documenter-dark .navbar-item .icon:only-child,
+    html.theme--documenter-dark .navbar-link .icon:only-child {
+      margin-left: -0.25rem;
+      margin-right: -0.25rem; }
+  html.theme--documenter-dark a.navbar-item,
+  html.theme--documenter-dark .navbar-link {
+    cursor: pointer; }
+    html.theme--documenter-dark a.navbar-item:focus, html.theme--documenter-dark a.navbar-item:focus-within, html.theme--documenter-dark a.navbar-item:hover, html.theme--documenter-dark a.navbar-item.is-active,
+    html.theme--documenter-dark .navbar-link:focus,
+    html.theme--documenter-dark .navbar-link:focus-within,
+    html.theme--documenter-dark .navbar-link:hover,
+    html.theme--documenter-dark .navbar-link.is-active {
+      background-color: transparent;
+      color: #1abc9c; }
+  html.theme--documenter-dark .navbar-item {
+    display: block;
+    flex-grow: 0;
+    flex-shrink: 0; }
+    html.theme--documenter-dark .navbar-item img {
+      max-height: 1.75rem; }
+    html.theme--documenter-dark .navbar-item.has-dropdown {
+      padding: 0; }
+    html.theme--documenter-dark .navbar-item.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .navbar-item.is-tab {
+      border-bottom: 1px solid transparent;
+      min-height: 4rem;
+      padding-bottom: calc(0.5rem - 1px); }
+      html.theme--documenter-dark .navbar-item.is-tab:focus, html.theme--documenter-dark .navbar-item.is-tab:hover {
+        background-color: transparent;
+        border-bottom-color: #1abc9c; }
+      html.theme--documenter-dark .navbar-item.is-tab.is-active {
+        background-color: transparent;
+        border-bottom-color: #1abc9c;
+        border-bottom-style: solid;
+        border-bottom-width: 3px;
+        color: #1abc9c;
+        padding-bottom: calc(0.5rem - 3px); }
+  html.theme--documenter-dark .navbar-content {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  html.theme--documenter-dark .navbar-link:not(.is-arrowless) {
+    padding-right: 2.5em; }
+    html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after {
+      border-color: #fff;
+      margin-top: -0.375em;
+      right: 1.125em; }
+  html.theme--documenter-dark .navbar-dropdown {
+    font-size: 0.875rem;
+    padding-bottom: 0.5rem;
+    padding-top: 0.5rem; }
+    html.theme--documenter-dark .navbar-dropdown .navbar-item {
+      padding-left: 1.5rem;
+      padding-right: 1.5rem; }
+  html.theme--documenter-dark .navbar-divider {
+    background-color: rgba(0, 0, 0, 0.2);
+    border: none;
+    display: none;
+    height: 2px;
+    margin: 0.5rem 0; }
+  @media screen and (max-width: 1055px) {
+    html.theme--documenter-dark .navbar > .container {
+      display: block; }
+    html.theme--documenter-dark .navbar-brand .navbar-item,
+    html.theme--documenter-dark .navbar-tabs .navbar-item {
+      align-items: center;
+      display: flex; }
+    html.theme--documenter-dark .navbar-link::after {
+      display: none; }
+    html.theme--documenter-dark .navbar-menu {
+      background-color: #375a7f;
+      box-shadow: 0 8px 16px rgba(10, 10, 10, 0.1);
+      padding: 0.5rem 0; }
+      html.theme--documenter-dark .navbar-menu.is-active {
+        display: block; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-touch, html.theme--documenter-dark .navbar.is-fixed-top-touch {
+      left: 0;
+      position: fixed;
+      right: 0;
+      z-index: 30; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-touch {
+      bottom: 0; }
+      html.theme--documenter-dark .navbar.is-fixed-bottom-touch.has-shadow {
+        box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+    html.theme--documenter-dark .navbar.is-fixed-top-touch {
+      top: 0; }
+    html.theme--documenter-dark .navbar.is-fixed-top .navbar-menu, html.theme--documenter-dark .navbar.is-fixed-top-touch .navbar-menu {
+      -webkit-overflow-scrolling: touch;
+      max-height: calc(100vh - 4rem);
+      overflow: auto; }
+    html.theme--documenter-dark html.has-navbar-fixed-top-touch,
+    html.theme--documenter-dark body.has-navbar-fixed-top-touch {
+      padding-top: 4rem; }
+    html.theme--documenter-dark html.has-navbar-fixed-bottom-touch,
+    html.theme--documenter-dark body.has-navbar-fixed-bottom-touch {
+      padding-bottom: 4rem; } }
+  @media screen and (min-width: 1056px) {
+    html.theme--documenter-dark .navbar,
+    html.theme--documenter-dark .navbar-menu,
+    html.theme--documenter-dark .navbar-start,
+    html.theme--documenter-dark .navbar-end {
+      align-items: stretch;
+      display: flex; }
+    html.theme--documenter-dark .navbar {
+      min-height: 4rem; }
+      html.theme--documenter-dark .navbar.is-spaced {
+        padding: 1rem 2rem; }
+        html.theme--documenter-dark .navbar.is-spaced .navbar-start,
+        html.theme--documenter-dark .navbar.is-spaced .navbar-end {
+          align-items: center; }
+        html.theme--documenter-dark .navbar.is-spaced a.navbar-item,
+        html.theme--documenter-dark .navbar.is-spaced .navbar-link {
+          border-radius: 0.4em; }
+      html.theme--documenter-dark .navbar.is-transparent a.navbar-item:focus, html.theme--documenter-dark .navbar.is-transparent a.navbar-item:hover, html.theme--documenter-dark .navbar.is-transparent a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-transparent .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-transparent .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-transparent .navbar-link.is-active {
+        background-color: transparent !important; }
+      html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-active .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus-within .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:hover .navbar-link {
+        background-color: transparent !important; }
+      html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item:focus, html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item:hover {
+        background-color: transparent;
+        color: #dbdee0; }
+      html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item.is-active {
+        background-color: transparent;
+        color: #1abc9c; }
+    html.theme--documenter-dark .navbar-burger {
+      display: none; }
+    html.theme--documenter-dark .navbar-item,
+    html.theme--documenter-dark .navbar-link {
+      align-items: center;
+      display: flex; }
+    html.theme--documenter-dark .navbar-item {
+      display: flex; }
+      html.theme--documenter-dark .navbar-item.has-dropdown {
+        align-items: stretch; }
+      html.theme--documenter-dark .navbar-item.has-dropdown-up .navbar-link::after {
+        transform: rotate(135deg) translate(0.25em, -0.25em); }
+      html.theme--documenter-dark .navbar-item.has-dropdown-up .navbar-dropdown {
+        border-bottom: 1px solid rgba(0, 0, 0, 0.2);
+        border-radius: 8px 8px 0 0;
+        border-top: none;
+        bottom: 100%;
+        box-shadow: 0 -8px 8px rgba(10, 10, 10, 0.1);
+        top: auto; }
+      html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown {
+        display: block; }
+        .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed {
+          opacity: 1;
+          pointer-events: auto;
+          transform: translateY(0); }
+    html.theme--documenter-dark .navbar-menu {
+      flex-grow: 1;
+      flex-shrink: 0; }
+    html.theme--documenter-dark .navbar-start {
+      justify-content: flex-start;
+      margin-right: auto; }
+    html.theme--documenter-dark .navbar-end {
+      justify-content: flex-end;
+      margin-left: auto; }
+    html.theme--documenter-dark .navbar-dropdown {
+      background-color: #375a7f;
+      border-bottom-left-radius: 8px;
+      border-bottom-right-radius: 8px;
+      border-top: 1px solid rgba(0, 0, 0, 0.2);
+      box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1);
+      display: none;
+      font-size: 0.875rem;
+      left: 0;
+      min-width: 100%;
+      position: absolute;
+      top: 100%;
+      z-index: 20; }
+      html.theme--documenter-dark .navbar-dropdown .navbar-item {
+        padding: 0.375rem 1rem;
+        white-space: nowrap; }
+      html.theme--documenter-dark .navbar-dropdown a.navbar-item {
+        padding-right: 3rem; }
+        html.theme--documenter-dark .navbar-dropdown a.navbar-item:focus, html.theme--documenter-dark .navbar-dropdown a.navbar-item:hover {
+          background-color: transparent;
+          color: #dbdee0; }
+        html.theme--documenter-dark .navbar-dropdown a.navbar-item.is-active {
+          background-color: transparent;
+          color: #1abc9c; }
+      .navbar.is-spaced html.theme--documenter-dark .navbar-dropdown, html.theme--documenter-dark .navbar-dropdown.is-boxed {
+        border-radius: 8px;
+        border-top: none;
+        box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+        display: block;
+        opacity: 0;
+        pointer-events: none;
+        top: calc(100% + (-4px));
+        transform: translateY(-5px);
+        transition-duration: 86ms;
+        transition-property: opacity, transform; }
+      html.theme--documenter-dark .navbar-dropdown.is-right {
+        left: auto;
+        right: 0; }
+    html.theme--documenter-dark .navbar-divider {
+      display: block; }
+    html.theme--documenter-dark .navbar > .container .navbar-brand,
+    html.theme--documenter-dark .container > .navbar .navbar-brand {
+      margin-left: -.75rem; }
+    html.theme--documenter-dark .navbar > .container .navbar-menu,
+    html.theme--documenter-dark .container > .navbar .navbar-menu {
+      margin-right: -.75rem; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-desktop, html.theme--documenter-dark .navbar.is-fixed-top-desktop {
+      left: 0;
+      position: fixed;
+      right: 0;
+      z-index: 30; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-desktop {
+      bottom: 0; }
+      html.theme--documenter-dark .navbar.is-fixed-bottom-desktop.has-shadow {
+        box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+    html.theme--documenter-dark .navbar.is-fixed-top-desktop {
+      top: 0; }
+    html.theme--documenter-dark html.has-navbar-fixed-top-desktop,
+    html.theme--documenter-dark body.has-navbar-fixed-top-desktop {
+      padding-top: 4rem; }
+    html.theme--documenter-dark html.has-navbar-fixed-bottom-desktop,
+    html.theme--documenter-dark body.has-navbar-fixed-bottom-desktop {
+      padding-bottom: 4rem; }
+    html.theme--documenter-dark html.has-spaced-navbar-fixed-top,
+    html.theme--documenter-dark body.has-spaced-navbar-fixed-top {
+      padding-top: 6rem; }
+    html.theme--documenter-dark html.has-spaced-navbar-fixed-bottom,
+    html.theme--documenter-dark body.has-spaced-navbar-fixed-bottom {
+      padding-bottom: 6rem; }
+    html.theme--documenter-dark a.navbar-item.is-active,
+    html.theme--documenter-dark .navbar-link.is-active {
+      color: #1abc9c; }
+    html.theme--documenter-dark a.navbar-item.is-active:not(:focus):not(:hover),
+    html.theme--documenter-dark .navbar-link.is-active:not(:focus):not(:hover) {
+      background-color: transparent; }
+    html.theme--documenter-dark .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .navbar-item.has-dropdown:hover .navbar-link, html.theme--documenter-dark .navbar-item.has-dropdown.is-active .navbar-link {
+      background-color: transparent; } }
+  html.theme--documenter-dark .hero.is-fullheight-with-navbar {
+    min-height: calc(100vh - 4rem); }
+  html.theme--documenter-dark .pagination {
+    font-size: 15px;
+    margin: -0.25rem; }
+    html.theme--documenter-dark .pagination.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .pagination.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .pagination.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .pagination.is-rounded .pagination-previous, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-previous,
+    html.theme--documenter-dark .pagination.is-rounded .pagination-next,
+    html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-next {
+      padding-left: 1em;
+      padding-right: 1em;
+      border-radius: 290486px; }
+    html.theme--documenter-dark .pagination.is-rounded .pagination-link, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-link {
+      border-radius: 290486px; }
+  html.theme--documenter-dark .pagination,
+  html.theme--documenter-dark .pagination-list {
+    align-items: center;
+    display: flex;
+    justify-content: center;
+    text-align: center; }
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark .pagination-ellipsis {
+    font-size: 1em;
+    justify-content: center;
+    margin: 0.25rem;
+    padding-left: 0.5em;
+    padding-right: 0.5em;
+    text-align: center; }
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-link {
+    border-color: #5e6d6f;
+    color: #1abc9c;
+    min-width: 2.25em; }
+    html.theme--documenter-dark .pagination-previous:hover,
+    html.theme--documenter-dark .pagination-next:hover,
+    html.theme--documenter-dark .pagination-link:hover {
+      border-color: #8c9b9d;
+      color: #1dd2af; }
+    html.theme--documenter-dark .pagination-previous:focus,
+    html.theme--documenter-dark .pagination-next:focus,
+    html.theme--documenter-dark .pagination-link:focus {
+      border-color: #8c9b9d; }
+    html.theme--documenter-dark .pagination-previous:active,
+    html.theme--documenter-dark .pagination-next:active,
+    html.theme--documenter-dark .pagination-link:active {
+      box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2); }
+    html.theme--documenter-dark .pagination-previous[disabled],
+    html.theme--documenter-dark .pagination-next[disabled],
+    html.theme--documenter-dark .pagination-link[disabled] {
+      background-color: #dbdee0;
+      border-color: #dbdee0;
+      box-shadow: none;
+      color: #5e6d6f;
+      opacity: 0.5; }
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .pagination-next {
+    padding-left: 0.75em;
+    padding-right: 0.75em;
+    white-space: nowrap; }
+  html.theme--documenter-dark .pagination-link.is-current {
+    background-color: #1abc9c;
+    border-color: #1abc9c;
+    color: #fff; }
+  html.theme--documenter-dark .pagination-ellipsis {
+    color: #8c9b9d;
+    pointer-events: none; }
+  html.theme--documenter-dark .pagination-list {
+    flex-wrap: wrap; }
+  @media screen and (max-width: 768px) {
+    html.theme--documenter-dark .pagination {
+      flex-wrap: wrap; }
+    html.theme--documenter-dark .pagination-previous,
+    html.theme--documenter-dark .pagination-next {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .pagination-list li {
+      flex-grow: 1;
+      flex-shrink: 1; } }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .pagination-list {
+      flex-grow: 1;
+      flex-shrink: 1;
+      justify-content: flex-start;
+      order: 1; }
+    html.theme--documenter-dark .pagination-previous {
+      order: 2; }
+    html.theme--documenter-dark .pagination-next {
+      order: 3; }
+    html.theme--documenter-dark .pagination {
+      justify-content: space-between; }
+      html.theme--documenter-dark .pagination.is-centered .pagination-previous {
+        order: 1; }
+      html.theme--documenter-dark .pagination.is-centered .pagination-list {
+        justify-content: center;
+        order: 2; }
+      html.theme--documenter-dark .pagination.is-centered .pagination-next {
+        order: 3; }
+      html.theme--documenter-dark .pagination.is-right .pagination-previous {
+        order: 1; }
+      html.theme--documenter-dark .pagination.is-right .pagination-next {
+        order: 2; }
+      html.theme--documenter-dark .pagination.is-right .pagination-list {
+        justify-content: flex-end;
+        order: 3; } }
+  html.theme--documenter-dark .panel {
+    font-size: 15px; }
+    html.theme--documenter-dark .panel:not(:last-child) {
+      margin-bottom: 1.5rem; }
+  html.theme--documenter-dark .panel-heading,
+  html.theme--documenter-dark .panel-tabs,
+  html.theme--documenter-dark .panel-block {
+    border-bottom: 1px solid #5e6d6f;
+    border-left: 1px solid #5e6d6f;
+    border-right: 1px solid #5e6d6f; }
+    html.theme--documenter-dark .panel-heading:first-child,
+    html.theme--documenter-dark .panel-tabs:first-child,
+    html.theme--documenter-dark .panel-block:first-child {
+      border-top: 1px solid #5e6d6f; }
+  html.theme--documenter-dark .panel-heading {
+    background-color: #282f2f;
+    border-radius: 0.4em 0.4em 0 0;
+    color: #f2f2f2;
+    font-size: 1.25em;
+    font-weight: 300;
+    line-height: 1.25;
+    padding: 0.5em 0.75em; }
+  html.theme--documenter-dark .panel-tabs {
+    align-items: flex-end;
+    display: flex;
+    font-size: 0.875em;
+    justify-content: center; }
+    html.theme--documenter-dark .panel-tabs a {
+      border-bottom: 1px solid #5e6d6f;
+      margin-bottom: -1px;
+      padding: 0.5em; }
+      html.theme--documenter-dark .panel-tabs a.is-active {
+        border-bottom-color: #343c3d;
+        color: #17a689; }
+  html.theme--documenter-dark .panel-list a {
+    color: #fff; }
+    html.theme--documenter-dark .panel-list a:hover {
+      color: #1abc9c; }
+  html.theme--documenter-dark .panel-block {
+    align-items: center;
+    color: #f2f2f2;
+    display: flex;
+    justify-content: flex-start;
+    padding: 0.5em 0.75em; }
+    html.theme--documenter-dark .panel-block input[type="checkbox"] {
+      margin-right: 0.75em; }
+    html.theme--documenter-dark .panel-block > .control {
+      flex-grow: 1;
+      flex-shrink: 1;
+      width: 100%; }
+    html.theme--documenter-dark .panel-block.is-wrapped {
+      flex-wrap: wrap; }
+    html.theme--documenter-dark .panel-block.is-active {
+      border-left-color: #1abc9c;
+      color: #17a689; }
+      html.theme--documenter-dark .panel-block.is-active .panel-icon {
+        color: #1abc9c; }
+  html.theme--documenter-dark a.panel-block,
+  html.theme--documenter-dark label.panel-block {
+    cursor: pointer; }
+    html.theme--documenter-dark a.panel-block:hover,
+    html.theme--documenter-dark label.panel-block:hover {
+      background-color: #282f2f; }
+  html.theme--documenter-dark .panel-icon {
+    display: inline-block;
+    font-size: 14px;
+    height: 1em;
+    line-height: 1em;
+    text-align: center;
+    vertical-align: top;
+    width: 1em;
+    color: white;
+    margin-right: 0.75em; }
+    html.theme--documenter-dark .panel-icon .fa {
+      font-size: inherit;
+      line-height: inherit; }
+  html.theme--documenter-dark .tabs {
+    -webkit-overflow-scrolling: touch;
+    align-items: stretch;
+    display: flex;
+    font-size: 15px;
+    justify-content: space-between;
+    overflow: hidden;
+    overflow-x: auto;
+    white-space: nowrap; }
+    html.theme--documenter-dark .tabs a {
+      align-items: center;
+      border-bottom-color: #5e6d6f;
+      border-bottom-style: solid;
+      border-bottom-width: 1px;
+      color: #fff;
+      display: flex;
+      justify-content: center;
+      margin-bottom: -1px;
+      padding: 0.5em 1em;
+      vertical-align: top; }
+      html.theme--documenter-dark .tabs a:hover {
+        border-bottom-color: #f2f2f2;
+        color: #f2f2f2; }
+    html.theme--documenter-dark .tabs li {
+      display: block; }
+      html.theme--documenter-dark .tabs li.is-active a {
+        border-bottom-color: #1abc9c;
+        color: #1abc9c; }
+    html.theme--documenter-dark .tabs ul {
+      align-items: center;
+      border-bottom-color: #5e6d6f;
+      border-bottom-style: solid;
+      border-bottom-width: 1px;
+      display: flex;
+      flex-grow: 1;
+      flex-shrink: 0;
+      justify-content: flex-start; }
+      html.theme--documenter-dark .tabs ul.is-left {
+        padding-right: 0.75em; }
+      html.theme--documenter-dark .tabs ul.is-center {
+        flex: none;
+        justify-content: center;
+        padding-left: 0.75em;
+        padding-right: 0.75em; }
+      html.theme--documenter-dark .tabs ul.is-right {
+        justify-content: flex-end;
+        padding-left: 0.75em; }
+    html.theme--documenter-dark .tabs .icon:first-child {
+      margin-right: 0.5em; }
+    html.theme--documenter-dark .tabs .icon:last-child {
+      margin-left: 0.5em; }
+    html.theme--documenter-dark .tabs.is-centered ul {
+      justify-content: center; }
+    html.theme--documenter-dark .tabs.is-right ul {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .tabs.is-boxed a {
+      border: 1px solid transparent;
+      border-radius: 0.4em 0.4em 0 0; }
+      html.theme--documenter-dark .tabs.is-boxed a:hover {
+        background-color: #282f2f;
+        border-bottom-color: #5e6d6f; }
+    html.theme--documenter-dark .tabs.is-boxed li.is-active a {
+      background-color: white;
+      border-color: #5e6d6f;
+      border-bottom-color: transparent !important; }
+    html.theme--documenter-dark .tabs.is-fullwidth li {
+      flex-grow: 1;
+      flex-shrink: 0; }
+    html.theme--documenter-dark .tabs.is-toggle a {
+      border-color: #5e6d6f;
+      border-style: solid;
+      border-width: 1px;
+      margin-bottom: 0;
+      position: relative; }
+      html.theme--documenter-dark .tabs.is-toggle a:hover {
+        background-color: #282f2f;
+        border-color: #8c9b9d;
+        z-index: 2; }
+    html.theme--documenter-dark .tabs.is-toggle li + li {
+      margin-left: -1px; }
+    html.theme--documenter-dark .tabs.is-toggle li:first-child a {
+      border-radius: 0.4em 0 0 0.4em; }
+    html.theme--documenter-dark .tabs.is-toggle li:last-child a {
+      border-radius: 0 0.4em 0.4em 0; }
+    html.theme--documenter-dark .tabs.is-toggle li.is-active a {
+      background-color: #1abc9c;
+      border-color: #1abc9c;
+      color: #fff;
+      z-index: 1; }
+    html.theme--documenter-dark .tabs.is-toggle ul {
+      border-bottom: none; }
+    html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:first-child a {
+      border-bottom-left-radius: 290486px;
+      border-top-left-radius: 290486px;
+      padding-left: 1.25em; }
+    html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:last-child a {
+      border-bottom-right-radius: 290486px;
+      border-top-right-radius: 290486px;
+      padding-right: 1.25em; }
+    html.theme--documenter-dark .tabs.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.tabs {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .tabs.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .tabs.is-large {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .column {
+    display: block;
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 1;
+    padding: 0.75rem; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-narrow {
+      flex: none; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-full {
+      flex: none;
+      width: 100%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-three-quarters {
+      flex: none;
+      width: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-two-thirds {
+      flex: none;
+      width: 66.6666%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-half {
+      flex: none;
+      width: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-one-third {
+      flex: none;
+      width: 33.3333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-one-quarter {
+      flex: none;
+      width: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-one-fifth {
+      flex: none;
+      width: 20%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-two-fifths {
+      flex: none;
+      width: 40%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-three-fifths {
+      flex: none;
+      width: 60%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-four-fifths {
+      flex: none;
+      width: 80%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-three-quarters {
+      margin-left: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-two-thirds {
+      margin-left: 66.6666%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-half {
+      margin-left: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-third {
+      margin-left: 33.3333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-quarter {
+      margin-left: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-fifth {
+      margin-left: 20%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-two-fifths {
+      margin-left: 40%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-three-fifths {
+      margin-left: 60%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-four-fifths {
+      margin-left: 80%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-0 {
+      flex: none;
+      width: 0%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-0 {
+      margin-left: 0%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-1 {
+      flex: none;
+      width: 8.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-1 {
+      margin-left: 8.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-2 {
+      flex: none;
+      width: 16.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-2 {
+      margin-left: 16.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-3 {
+      flex: none;
+      width: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-3 {
+      margin-left: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-4 {
+      flex: none;
+      width: 33.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-4 {
+      margin-left: 33.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-5 {
+      flex: none;
+      width: 41.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-5 {
+      margin-left: 41.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-6 {
+      flex: none;
+      width: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-6 {
+      margin-left: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-7 {
+      flex: none;
+      width: 58.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-7 {
+      margin-left: 58.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-8 {
+      flex: none;
+      width: 66.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-8 {
+      margin-left: 66.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-9 {
+      flex: none;
+      width: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-9 {
+      margin-left: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-10 {
+      flex: none;
+      width: 83.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-10 {
+      margin-left: 83.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-11 {
+      flex: none;
+      width: 91.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-11 {
+      margin-left: 91.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-12 {
+      flex: none;
+      width: 100%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-12 {
+      margin-left: 100%; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .column.is-narrow-mobile {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-mobile {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-mobile {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-mobile {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-mobile {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-mobile {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-mobile {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-mobile {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-mobile {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-mobile {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-mobile {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-mobile {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-mobile {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-mobile {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-mobile {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-mobile {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-mobile {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-mobile {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-mobile {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-mobile {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-mobile {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-mobile {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-mobile {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-mobile {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-mobile {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-mobile {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-mobile {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-mobile {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-mobile {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-mobile {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-mobile {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-mobile {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-mobile {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-mobile {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-mobile {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-mobile {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-mobile {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-mobile {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-mobile {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-mobile {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-mobile {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-mobile {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-mobile {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-mobile {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-mobile {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-mobile {
+        margin-left: 100%; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .column.is-narrow, html.theme--documenter-dark .column.is-narrow-tablet {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full, html.theme--documenter-dark .column.is-full-tablet {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters, html.theme--documenter-dark .column.is-three-quarters-tablet {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds, html.theme--documenter-dark .column.is-two-thirds-tablet {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half, html.theme--documenter-dark .column.is-half-tablet {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third, html.theme--documenter-dark .column.is-one-third-tablet {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter, html.theme--documenter-dark .column.is-one-quarter-tablet {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth, html.theme--documenter-dark .column.is-one-fifth-tablet {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths, html.theme--documenter-dark .column.is-two-fifths-tablet {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths, html.theme--documenter-dark .column.is-three-fifths-tablet {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths, html.theme--documenter-dark .column.is-four-fifths-tablet {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters, html.theme--documenter-dark .column.is-offset-three-quarters-tablet {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds, html.theme--documenter-dark .column.is-offset-two-thirds-tablet {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half, html.theme--documenter-dark .column.is-offset-half-tablet {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third, html.theme--documenter-dark .column.is-offset-one-third-tablet {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter, html.theme--documenter-dark .column.is-offset-one-quarter-tablet {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth, html.theme--documenter-dark .column.is-offset-one-fifth-tablet {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths, html.theme--documenter-dark .column.is-offset-two-fifths-tablet {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths, html.theme--documenter-dark .column.is-offset-three-fifths-tablet {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths, html.theme--documenter-dark .column.is-offset-four-fifths-tablet {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0, html.theme--documenter-dark .column.is-0-tablet {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0, html.theme--documenter-dark .column.is-offset-0-tablet {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1, html.theme--documenter-dark .column.is-1-tablet {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1, html.theme--documenter-dark .column.is-offset-1-tablet {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2, html.theme--documenter-dark .column.is-2-tablet {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2, html.theme--documenter-dark .column.is-offset-2-tablet {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3, html.theme--documenter-dark .column.is-3-tablet {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3, html.theme--documenter-dark .column.is-offset-3-tablet {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4, html.theme--documenter-dark .column.is-4-tablet {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4, html.theme--documenter-dark .column.is-offset-4-tablet {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5, html.theme--documenter-dark .column.is-5-tablet {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5, html.theme--documenter-dark .column.is-offset-5-tablet {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6, html.theme--documenter-dark .column.is-6-tablet {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6, html.theme--documenter-dark .column.is-offset-6-tablet {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7, html.theme--documenter-dark .column.is-7-tablet {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7, html.theme--documenter-dark .column.is-offset-7-tablet {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8, html.theme--documenter-dark .column.is-8-tablet {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8, html.theme--documenter-dark .column.is-offset-8-tablet {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9, html.theme--documenter-dark .column.is-9-tablet {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9, html.theme--documenter-dark .column.is-offset-9-tablet {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10, html.theme--documenter-dark .column.is-10-tablet {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10, html.theme--documenter-dark .column.is-offset-10-tablet {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11, html.theme--documenter-dark .column.is-11-tablet {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11, html.theme--documenter-dark .column.is-offset-11-tablet {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12, html.theme--documenter-dark .column.is-12-tablet {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12, html.theme--documenter-dark .column.is-offset-12-tablet {
+        margin-left: 100%; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .column.is-narrow-touch {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-touch {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-touch {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-touch {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-touch {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-touch {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-touch {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-touch {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-touch {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-touch {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-touch {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-touch {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-touch {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-touch {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-touch {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-touch {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-touch {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-touch {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-touch {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-touch {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-touch {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-touch {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-touch {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-touch {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-touch {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-touch {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-touch {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-touch {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-touch {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-touch {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-touch {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-touch {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-touch {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-touch {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-touch {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-touch {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-touch {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-touch {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-touch {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-touch {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-touch {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-touch {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-touch {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-touch {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-touch {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-touch {
+        margin-left: 100%; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .column.is-narrow-desktop {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-desktop {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-desktop {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-desktop {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-desktop {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-desktop {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-desktop {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-desktop {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-desktop {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-desktop {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-desktop {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-desktop {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-desktop {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-desktop {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-desktop {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-desktop {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-desktop {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-desktop {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-desktop {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-desktop {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-desktop {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-desktop {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-desktop {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-desktop {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-desktop {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-desktop {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-desktop {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-desktop {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-desktop {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-desktop {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-desktop {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-desktop {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-desktop {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-desktop {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-desktop {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-desktop {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-desktop {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-desktop {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-desktop {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-desktop {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-desktop {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-desktop {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-desktop {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-desktop {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-desktop {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-desktop {
+        margin-left: 100%; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .column.is-narrow-widescreen {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-widescreen {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-widescreen {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-widescreen {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-widescreen {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-widescreen {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-widescreen {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-widescreen {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-widescreen {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-widescreen {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-widescreen {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-widescreen {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-widescreen {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-widescreen {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-widescreen {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-widescreen {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-widescreen {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-widescreen {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-widescreen {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-widescreen {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-widescreen {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-widescreen {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-widescreen {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-widescreen {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-widescreen {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-widescreen {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-widescreen {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-widescreen {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-widescreen {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-widescreen {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-widescreen {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-widescreen {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-widescreen {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-widescreen {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-widescreen {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-widescreen {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-widescreen {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-widescreen {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-widescreen {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-widescreen {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-widescreen {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-widescreen {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-widescreen {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-widescreen {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-widescreen {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-widescreen {
+        margin-left: 100%; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .column.is-narrow-fullhd {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-fullhd {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-fullhd {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-fullhd {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-fullhd {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-fullhd {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-fullhd {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-fullhd {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-fullhd {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-fullhd {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-fullhd {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-fullhd {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-fullhd {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-fullhd {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-fullhd {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-fullhd {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-fullhd {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-fullhd {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-fullhd {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-fullhd {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-fullhd {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-fullhd {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-fullhd {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-fullhd {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-fullhd {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-fullhd {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-fullhd {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-fullhd {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-fullhd {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-fullhd {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-fullhd {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-fullhd {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-fullhd {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-fullhd {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-fullhd {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-fullhd {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-fullhd {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-fullhd {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-fullhd {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-fullhd {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-fullhd {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-fullhd {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-fullhd {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-fullhd {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-fullhd {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-fullhd {
+        margin-left: 100%; } }
+  html.theme--documenter-dark .columns {
+    margin-left: -0.75rem;
+    margin-right: -0.75rem;
+    margin-top: -0.75rem; }
+    html.theme--documenter-dark .columns:last-child {
+      margin-bottom: -0.75rem; }
+    html.theme--documenter-dark .columns:not(:last-child) {
+      margin-bottom: calc(1.5rem - 0.75rem); }
+    html.theme--documenter-dark .columns.is-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .columns.is-gapless {
+      margin-left: 0;
+      margin-right: 0;
+      margin-top: 0; }
+      html.theme--documenter-dark .columns.is-gapless > .column {
+        margin: 0;
+        padding: 0 !important; }
+      html.theme--documenter-dark .columns.is-gapless:not(:last-child) {
+        margin-bottom: 1.5rem; }
+      html.theme--documenter-dark .columns.is-gapless:last-child {
+        margin-bottom: 0; }
+    html.theme--documenter-dark .columns.is-mobile {
+      display: flex; }
+    html.theme--documenter-dark .columns.is-multiline {
+      flex-wrap: wrap; }
+    html.theme--documenter-dark .columns.is-vcentered {
+      align-items: center; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns:not(.is-desktop) {
+        display: flex; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-desktop {
+        display: flex; } }
+  html.theme--documenter-dark .columns.is-variable {
+    --columnGap: 0.75rem;
+    margin-left: calc(-1 * var(--columnGap));
+    margin-right: calc(-1 * var(--columnGap)); }
+    html.theme--documenter-dark .columns.is-variable .column {
+      padding-left: var(--columnGap);
+      padding-right: var(--columnGap); }
+    html.theme--documenter-dark .columns.is-variable.is-0 {
+      --columnGap: 0rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-mobile {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-0-tablet {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-tablet-only {
+        --columnGap: 0rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-touch {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-desktop {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-desktop-only {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-widescreen {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-widescreen-only {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-fullhd {
+        --columnGap: 0rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-1 {
+      --columnGap: 0.25rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-mobile {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-1-tablet {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-tablet-only {
+        --columnGap: 0.25rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-touch {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-desktop {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-desktop-only {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-widescreen {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-widescreen-only {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-fullhd {
+        --columnGap: 0.25rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-2 {
+      --columnGap: 0.5rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-mobile {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-2-tablet {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-tablet-only {
+        --columnGap: 0.5rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-touch {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-desktop {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-desktop-only {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-widescreen {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-widescreen-only {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-fullhd {
+        --columnGap: 0.5rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-3 {
+      --columnGap: 0.75rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-mobile {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-3-tablet {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-tablet-only {
+        --columnGap: 0.75rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-touch {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-desktop {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-desktop-only {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-widescreen {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-widescreen-only {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-fullhd {
+        --columnGap: 0.75rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-4 {
+      --columnGap: 1rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-mobile {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-4-tablet {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-tablet-only {
+        --columnGap: 1rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-touch {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-desktop {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-desktop-only {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-widescreen {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-widescreen-only {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-fullhd {
+        --columnGap: 1rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-5 {
+      --columnGap: 1.25rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-mobile {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-5-tablet {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-tablet-only {
+        --columnGap: 1.25rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-touch {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-desktop {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-desktop-only {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-widescreen {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-widescreen-only {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-fullhd {
+        --columnGap: 1.25rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-6 {
+      --columnGap: 1.5rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-mobile {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-6-tablet {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-tablet-only {
+        --columnGap: 1.5rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-touch {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-desktop {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-desktop-only {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-widescreen {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-widescreen-only {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-fullhd {
+        --columnGap: 1.5rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-7 {
+      --columnGap: 1.75rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-mobile {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-7-tablet {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-tablet-only {
+        --columnGap: 1.75rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-touch {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-desktop {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-desktop-only {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-widescreen {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-widescreen-only {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-fullhd {
+        --columnGap: 1.75rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-8 {
+      --columnGap: 2rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-mobile {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-8-tablet {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-tablet-only {
+        --columnGap: 2rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-touch {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-desktop {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-desktop-only {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-widescreen {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-widescreen-only {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-fullhd {
+        --columnGap: 2rem; } }
+  html.theme--documenter-dark .tile {
+    align-items: stretch;
+    display: block;
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 1;
+    min-height: min-content; }
+    html.theme--documenter-dark .tile.is-ancestor {
+      margin-left: -0.75rem;
+      margin-right: -0.75rem;
+      margin-top: -0.75rem; }
+      html.theme--documenter-dark .tile.is-ancestor:last-child {
+        margin-bottom: -0.75rem; }
+      html.theme--documenter-dark .tile.is-ancestor:not(:last-child) {
+        margin-bottom: 0.75rem; }
+    html.theme--documenter-dark .tile.is-child {
+      margin: 0 !important; }
+    html.theme--documenter-dark .tile.is-parent {
+      padding: 0.75rem; }
+    html.theme--documenter-dark .tile.is-vertical {
+      flex-direction: column; }
+      html.theme--documenter-dark .tile.is-vertical > .tile.is-child:not(:last-child) {
+        margin-bottom: 1.5rem !important; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .tile:not(.is-child) {
+        display: flex; }
+      html.theme--documenter-dark .tile.is-1 {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .tile.is-2 {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .tile.is-3 {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .tile.is-4 {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .tile.is-5 {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .tile.is-6 {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .tile.is-7 {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .tile.is-8 {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .tile.is-9 {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .tile.is-10 {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .tile.is-11 {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .tile.is-12 {
+        flex: none;
+        width: 100%; } }
+  html.theme--documenter-dark .hero {
+    align-items: stretch;
+    display: flex;
+    flex-direction: column;
+    justify-content: space-between; }
+    html.theme--documenter-dark .hero .navbar {
+      background: none; }
+    html.theme--documenter-dark .hero .tabs ul {
+      border-bottom: none; }
+    html.theme--documenter-dark .hero.is-white {
+      background-color: white;
+      color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-white a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-white strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-white .title {
+        color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-white .subtitle {
+        color: rgba(10, 10, 10, 0.9); }
+        html.theme--documenter-dark .hero.is-white .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-white .subtitle strong {
+          color: #0a0a0a; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-white .navbar-menu {
+          background-color: white; } }
+      html.theme--documenter-dark .hero.is-white .navbar-item,
+      html.theme--documenter-dark .hero.is-white .navbar-link {
+        color: rgba(10, 10, 10, 0.7); }
+      html.theme--documenter-dark .hero.is-white a.navbar-item:hover, html.theme--documenter-dark .hero.is-white a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-white .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-white .navbar-link.is-active {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-white .tabs a {
+        color: #0a0a0a;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-white .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-white .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-white .tabs.is-boxed a, html.theme--documenter-dark .hero.is-white .tabs.is-toggle a {
+        color: #0a0a0a; }
+        html.theme--documenter-dark .hero.is-white .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-white .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-white .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-white .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-white .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-white .tabs.is-toggle li.is-active a:hover {
+        background-color: #0a0a0a;
+        border-color: #0a0a0a;
+        color: white; }
+      html.theme--documenter-dark .hero.is-white.is-bold {
+        background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-white.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); } }
+    html.theme--documenter-dark .hero.is-black {
+      background-color: #0a0a0a;
+      color: white; }
+      html.theme--documenter-dark .hero.is-black a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-black strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-black .title {
+        color: white; }
+      html.theme--documenter-dark .hero.is-black .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-black .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-black .subtitle strong {
+          color: white; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-black .navbar-menu {
+          background-color: #0a0a0a; } }
+      html.theme--documenter-dark .hero.is-black .navbar-item,
+      html.theme--documenter-dark .hero.is-black .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-black a.navbar-item:hover, html.theme--documenter-dark .hero.is-black a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-black .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-black .navbar-link.is-active {
+        background-color: black;
+        color: white; }
+      html.theme--documenter-dark .hero.is-black .tabs a {
+        color: white;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-black .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-black .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-black .tabs.is-boxed a, html.theme--documenter-dark .hero.is-black .tabs.is-toggle a {
+        color: white; }
+        html.theme--documenter-dark .hero.is-black .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-black .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-black .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-black .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-black .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-black .tabs.is-toggle li.is-active a:hover {
+        background-color: white;
+        border-color: white;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-black.is-bold {
+        background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-black.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } }
+    html.theme--documenter-dark .hero.is-light {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+      html.theme--documenter-dark .hero.is-light a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-light strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-light .title {
+        color: #282f2f; }
+      html.theme--documenter-dark .hero.is-light .subtitle {
+        color: rgba(40, 47, 47, 0.9); }
+        html.theme--documenter-dark .hero.is-light .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-light .subtitle strong {
+          color: #282f2f; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-light .navbar-menu {
+          background-color: #ecf0f1; } }
+      html.theme--documenter-dark .hero.is-light .navbar-item,
+      html.theme--documenter-dark .hero.is-light .navbar-link {
+        color: rgba(40, 47, 47, 0.7); }
+      html.theme--documenter-dark .hero.is-light a.navbar-item:hover, html.theme--documenter-dark .hero.is-light a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-light .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-light .navbar-link.is-active {
+        background-color: #dde4e6;
+        color: #282f2f; }
+      html.theme--documenter-dark .hero.is-light .tabs a {
+        color: #282f2f;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-light .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-light .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-light .tabs.is-boxed a, html.theme--documenter-dark .hero.is-light .tabs.is-toggle a {
+        color: #282f2f; }
+        html.theme--documenter-dark .hero.is-light .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-light .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-light .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-light .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-light .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-light .tabs.is-toggle li.is-active a:hover {
+        background-color: #282f2f;
+        border-color: #282f2f;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-light.is-bold {
+        background-image: linear-gradient(141deg, #cadfe0 0%, #ecf0f1 71%, #fafbfc 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-light.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #cadfe0 0%, #ecf0f1 71%, #fafbfc 100%); } }
+    html.theme--documenter-dark .hero.is-dark, html.theme--documenter-dark .content kbd.hero {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-dark a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), html.theme--documenter-dark .content kbd.hero a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-dark strong,
+      html.theme--documenter-dark .content kbd.hero strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-dark .title, html.theme--documenter-dark .content kbd.hero .title {
+        color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-dark .subtitle, html.theme--documenter-dark .content kbd.hero .subtitle {
+        color: rgba(236, 240, 241, 0.9); }
+        html.theme--documenter-dark .hero.is-dark .subtitle a:not(.button), html.theme--documenter-dark .content kbd.hero .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-dark .subtitle strong,
+        html.theme--documenter-dark .content kbd.hero .subtitle strong {
+          color: #ecf0f1; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-dark .navbar-menu, html.theme--documenter-dark .content kbd.hero .navbar-menu {
+          background-color: #282f2f; } }
+      html.theme--documenter-dark .hero.is-dark .navbar-item, html.theme--documenter-dark .content kbd.hero .navbar-item,
+      html.theme--documenter-dark .hero.is-dark .navbar-link,
+      html.theme--documenter-dark .content kbd.hero .navbar-link {
+        color: rgba(236, 240, 241, 0.7); }
+      html.theme--documenter-dark .hero.is-dark a.navbar-item:hover, html.theme--documenter-dark .content kbd.hero a.navbar-item:hover, html.theme--documenter-dark .hero.is-dark a.navbar-item.is-active, html.theme--documenter-dark .content kbd.hero a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-dark .navbar-link:hover,
+      html.theme--documenter-dark .content kbd.hero .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-dark .navbar-link.is-active,
+      html.theme--documenter-dark .content kbd.hero .navbar-link.is-active {
+        background-color: #1d2122;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-dark .tabs a, html.theme--documenter-dark .content kbd.hero .tabs a {
+        color: #ecf0f1;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-dark .tabs a:hover, html.theme--documenter-dark .content kbd.hero .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-dark .tabs li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-dark .tabs.is-boxed a, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed a, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle a, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle a {
+        color: #ecf0f1; }
+        html.theme--documenter-dark .hero.is-dark .tabs.is-boxed a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-dark .tabs.is-boxed li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-dark .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle li.is-active a:hover {
+        background-color: #ecf0f1;
+        border-color: #ecf0f1;
+        color: #282f2f; }
+      html.theme--documenter-dark .hero.is-dark.is-bold, html.theme--documenter-dark .content kbd.hero.is-bold {
+        background-image: linear-gradient(141deg, #0f1615 0%, #282f2f 71%, #313c40 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-dark.is-bold .navbar-menu, html.theme--documenter-dark .content kbd.hero.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #0f1615 0%, #282f2f 71%, #313c40 100%); } }
+    html.theme--documenter-dark .hero.is-primary, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink {
+      background-color: #375a7f;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-primary a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-primary strong,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-primary .title, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-primary .subtitle, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-primary .subtitle a:not(.button), html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-primary .subtitle strong,
+        html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-primary .navbar-menu, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-menu {
+          background-color: #375a7f; } }
+      html.theme--documenter-dark .hero.is-primary .navbar-item, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-item,
+      html.theme--documenter-dark .hero.is-primary .navbar-link,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-primary a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a.navbar-item:hover, html.theme--documenter-dark .hero.is-primary a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-primary .navbar-link:hover,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-primary .navbar-link.is-active,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link.is-active {
+        background-color: #2f4d6d;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-primary .tabs a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-primary .tabs a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-primary .tabs li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-primary .tabs.is-boxed a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-primary .tabs.is-boxed a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-primary .tabs.is-boxed li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-primary .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #375a7f; }
+      html.theme--documenter-dark .hero.is-primary.is-bold, html.theme--documenter-dark .docstring > section > a.hero.is-bold.docs-sourcelink {
+        background-image: linear-gradient(141deg, #214b62 0%, #375a7f 71%, #3a5796 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-primary.is-bold .navbar-menu, html.theme--documenter-dark .docstring > section > a.hero.is-bold.docs-sourcelink .navbar-menu {
+            background-image: linear-gradient(141deg, #214b62 0%, #375a7f 71%, #3a5796 100%); } }
+    html.theme--documenter-dark .hero.is-link {
+      background-color: #1abc9c;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-link a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-link strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-link .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-link .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-link .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-link .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-link .navbar-menu {
+          background-color: #1abc9c; } }
+      html.theme--documenter-dark .hero.is-link .navbar-item,
+      html.theme--documenter-dark .hero.is-link .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-link a.navbar-item:hover, html.theme--documenter-dark .hero.is-link a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-link .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-link .navbar-link.is-active {
+        background-color: #17a689;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-link .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-link .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-link .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-link .tabs.is-boxed a, html.theme--documenter-dark .hero.is-link .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-link .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-link .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-link .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-link .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-link .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-link .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #1abc9c; }
+      html.theme--documenter-dark .hero.is-link.is-bold {
+        background-image: linear-gradient(141deg, #0c9764 0%, #1abc9c 71%, #17d8d2 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-link.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #0c9764 0%, #1abc9c 71%, #17d8d2 100%); } }
+    html.theme--documenter-dark .hero.is-info {
+      background-color: #024c7d;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-info a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-info strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-info .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-info .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-info .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-info .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-info .navbar-menu {
+          background-color: #024c7d; } }
+      html.theme--documenter-dark .hero.is-info .navbar-item,
+      html.theme--documenter-dark .hero.is-info .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-info a.navbar-item:hover, html.theme--documenter-dark .hero.is-info a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-info .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-info .navbar-link.is-active {
+        background-color: #023d64;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-info .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-info .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-info .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-info .tabs.is-boxed a, html.theme--documenter-dark .hero.is-info .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-info .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-info .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-info .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-info .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-info .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-info .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #024c7d; }
+      html.theme--documenter-dark .hero.is-info.is-bold {
+        background-image: linear-gradient(141deg, #003a4c 0%, #024c7d 71%, #004299 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-info.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #003a4c 0%, #024c7d 71%, #004299 100%); } }
+    html.theme--documenter-dark .hero.is-success {
+      background-color: #008438;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-success a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-success strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-success .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-success .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-success .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-success .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-success .navbar-menu {
+          background-color: #008438; } }
+      html.theme--documenter-dark .hero.is-success .navbar-item,
+      html.theme--documenter-dark .hero.is-success .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-success a.navbar-item:hover, html.theme--documenter-dark .hero.is-success a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-success .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-success .navbar-link.is-active {
+        background-color: #006b2d;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-success .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-success .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-success .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-success .tabs.is-boxed a, html.theme--documenter-dark .hero.is-success .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-success .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-success .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-success .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-success .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-success .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-success .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #008438; }
+      html.theme--documenter-dark .hero.is-success.is-bold {
+        background-image: linear-gradient(141deg, #005115 0%, #008438 71%, #009e5d 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-success.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #005115 0%, #008438 71%, #009e5d 100%); } }
+    html.theme--documenter-dark .hero.is-warning {
+      background-color: #ad8100;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-warning a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-warning strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-warning .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-warning .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-warning .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-warning .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-warning .navbar-menu {
+          background-color: #ad8100; } }
+      html.theme--documenter-dark .hero.is-warning .navbar-item,
+      html.theme--documenter-dark .hero.is-warning .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-warning a.navbar-item:hover, html.theme--documenter-dark .hero.is-warning a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-warning .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-warning .navbar-link.is-active {
+        background-color: #946e00;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-warning .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-warning .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-warning .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-warning .tabs.is-boxed a, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-warning .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-warning .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-warning .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #ad8100; }
+      html.theme--documenter-dark .hero.is-warning.is-bold {
+        background-image: linear-gradient(141deg, #7a4700 0%, #ad8100 71%, #c7b500 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-warning.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #7a4700 0%, #ad8100 71%, #c7b500 100%); } }
+    html.theme--documenter-dark .hero.is-danger {
+      background-color: #9e1b0d;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-danger a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-danger strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-danger .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-danger .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-danger .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-danger .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-danger .navbar-menu {
+          background-color: #9e1b0d; } }
+      html.theme--documenter-dark .hero.is-danger .navbar-item,
+      html.theme--documenter-dark .hero.is-danger .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-danger a.navbar-item:hover, html.theme--documenter-dark .hero.is-danger a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-danger .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-danger .navbar-link.is-active {
+        background-color: #86170b;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-danger .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-danger .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-danger .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-danger .tabs.is-boxed a, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-danger .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-danger .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-danger .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #9e1b0d; }
+      html.theme--documenter-dark .hero.is-danger.is-bold {
+        background-image: linear-gradient(141deg, #75030b 0%, #9e1b0d 71%, #ba380a 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-danger.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #75030b 0%, #9e1b0d 71%, #ba380a 100%); } }
+    html.theme--documenter-dark .hero.is-small .hero-body, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.hero .hero-body {
+      padding-bottom: 1.5rem;
+      padding-top: 1.5rem; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .hero.is-medium .hero-body {
+        padding-bottom: 9rem;
+        padding-top: 9rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .hero.is-large .hero-body {
+        padding-bottom: 18rem;
+        padding-top: 18rem; } }
+    html.theme--documenter-dark .hero.is-halfheight .hero-body, html.theme--documenter-dark .hero.is-fullheight .hero-body, html.theme--documenter-dark .hero.is-fullheight-with-navbar .hero-body {
+      align-items: center;
+      display: flex; }
+      html.theme--documenter-dark .hero.is-halfheight .hero-body > .container, html.theme--documenter-dark .hero.is-fullheight .hero-body > .container, html.theme--documenter-dark .hero.is-fullheight-with-navbar .hero-body > .container {
+        flex-grow: 1;
+        flex-shrink: 1; }
+    html.theme--documenter-dark .hero.is-halfheight {
+      min-height: 50vh; }
+    html.theme--documenter-dark .hero.is-fullheight {
+      min-height: 100vh; }
+  html.theme--documenter-dark .hero-video {
+    overflow: hidden; }
+    html.theme--documenter-dark .hero-video video {
+      left: 50%;
+      min-height: 100%;
+      min-width: 100%;
+      position: absolute;
+      top: 50%;
+      transform: translate3d(-50%, -50%, 0); }
+    html.theme--documenter-dark .hero-video.is-transparent {
+      opacity: 0.3; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .hero-video {
+        display: none; } }
+  html.theme--documenter-dark .hero-buttons {
+    margin-top: 1.5rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .hero-buttons .button {
+        display: flex; }
+        html.theme--documenter-dark .hero-buttons .button:not(:last-child) {
+          margin-bottom: 0.75rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .hero-buttons {
+        display: flex;
+        justify-content: center; }
+        html.theme--documenter-dark .hero-buttons .button:not(:last-child) {
+          margin-right: 1.5rem; } }
+  html.theme--documenter-dark .hero-head,
+  html.theme--documenter-dark .hero-foot {
+    flex-grow: 0;
+    flex-shrink: 0; }
+  html.theme--documenter-dark .hero-body {
+    flex-grow: 1;
+    flex-shrink: 0;
+    padding: 3rem 1.5rem; }
+  html.theme--documenter-dark .section {
+    padding: 3rem 1.5rem; }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .section.is-medium {
+        padding: 9rem 1.5rem; }
+      html.theme--documenter-dark .section.is-large {
+        padding: 18rem 1.5rem; } }
+  html.theme--documenter-dark .footer {
+    background-color: #282f2f;
+    padding: 3rem 1.5rem 6rem; }
+  html.theme--documenter-dark hr {
+    height: 1px; }
+  html.theme--documenter-dark h6 {
+    text-transform: uppercase;
+    letter-spacing: 0.5px; }
+  html.theme--documenter-dark .hero {
+    background-color: #343c3d; }
+  html.theme--documenter-dark a {
+    transition: all 200ms ease; }
+  html.theme--documenter-dark .button {
+    transition: all 200ms ease;
+    border-width: 1px;
+    color: white; }
+    html.theme--documenter-dark .button.is-active, html.theme--documenter-dark .button.is-focused, html.theme--documenter-dark .button:active, html.theme--documenter-dark .button:focus {
+      box-shadow: 0 0 0 2px rgba(140, 155, 157, 0.5); }
+    html.theme--documenter-dark .button.is-white.is-hovered, html.theme--documenter-dark .button.is-white:hover {
+      background-color: white; }
+    html.theme--documenter-dark .button.is-white.is-active, html.theme--documenter-dark .button.is-white.is-focused, html.theme--documenter-dark .button.is-white:active, html.theme--documenter-dark .button.is-white:focus {
+      border-color: white;
+      box-shadow: 0 0 0 2px rgba(255, 255, 255, 0.5); }
+    html.theme--documenter-dark .button.is-black.is-hovered, html.theme--documenter-dark .button.is-black:hover {
+      background-color: #1d1d1d; }
+    html.theme--documenter-dark .button.is-black.is-active, html.theme--documenter-dark .button.is-black.is-focused, html.theme--documenter-dark .button.is-black:active, html.theme--documenter-dark .button.is-black:focus {
+      border-color: #0a0a0a;
+      box-shadow: 0 0 0 2px rgba(10, 10, 10, 0.5); }
+    html.theme--documenter-dark .button.is-light.is-hovered, html.theme--documenter-dark .button.is-light:hover {
+      background-color: white; }
+    html.theme--documenter-dark .button.is-light.is-active, html.theme--documenter-dark .button.is-light.is-focused, html.theme--documenter-dark .button.is-light:active, html.theme--documenter-dark .button.is-light:focus {
+      border-color: #ecf0f1;
+      box-shadow: 0 0 0 2px rgba(236, 240, 241, 0.5); }
+    html.theme--documenter-dark .button.is-dark.is-hovered, html.theme--documenter-dark .content kbd.button.is-hovered, html.theme--documenter-dark .button.is-dark:hover, html.theme--documenter-dark .content kbd.button:hover {
+      background-color: #3a4344; }
+    html.theme--documenter-dark .button.is-dark.is-active, html.theme--documenter-dark .content kbd.button.is-active, html.theme--documenter-dark .button.is-dark.is-focused, html.theme--documenter-dark .content kbd.button.is-focused, html.theme--documenter-dark .button.is-dark:active, html.theme--documenter-dark .content kbd.button:active, html.theme--documenter-dark .button.is-dark:focus, html.theme--documenter-dark .content kbd.button:focus {
+      border-color: #282f2f;
+      box-shadow: 0 0 0 2px rgba(40, 47, 47, 0.5); }
+    html.theme--documenter-dark .button.is-primary.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary:hover, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:hover {
+      background-color: #436d9a; }
+    html.theme--documenter-dark .button.is-primary.is-active, html.theme--documenter-dark .docstring > section > a.button.is-active.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink, html.theme--documenter-dark .button.is-primary:active, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:active, html.theme--documenter-dark .button.is-primary:focus, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus {
+      border-color: #375a7f;
+      box-shadow: 0 0 0 2px rgba(55, 90, 127, 0.5); }
+    html.theme--documenter-dark .button.is-link.is-hovered, html.theme--documenter-dark .button.is-link:hover {
+      background-color: #1fdeb8; }
+    html.theme--documenter-dark .button.is-link.is-active, html.theme--documenter-dark .button.is-link.is-focused, html.theme--documenter-dark .button.is-link:active, html.theme--documenter-dark .button.is-link:focus {
+      border-color: #1abc9c;
+      box-shadow: 0 0 0 2px rgba(26, 188, 156, 0.5); }
+    html.theme--documenter-dark .button.is-info.is-hovered, html.theme--documenter-dark .button.is-info:hover {
+      background-color: #0363a3; }
+    html.theme--documenter-dark .button.is-info.is-active, html.theme--documenter-dark .button.is-info.is-focused, html.theme--documenter-dark .button.is-info:active, html.theme--documenter-dark .button.is-info:focus {
+      border-color: #024c7d;
+      box-shadow: 0 0 0 2px rgba(2, 76, 125, 0.5); }
+    html.theme--documenter-dark .button.is-success.is-hovered, html.theme--documenter-dark .button.is-success:hover {
+      background-color: #00aa48; }
+    html.theme--documenter-dark .button.is-success.is-active, html.theme--documenter-dark .button.is-success.is-focused, html.theme--documenter-dark .button.is-success:active, html.theme--documenter-dark .button.is-success:focus {
+      border-color: #008438;
+      box-shadow: 0 0 0 2px rgba(0, 132, 56, 0.5); }
+    html.theme--documenter-dark .button.is-warning.is-hovered, html.theme--documenter-dark .button.is-warning:hover {
+      background-color: #d39e00; }
+    html.theme--documenter-dark .button.is-warning.is-active, html.theme--documenter-dark .button.is-warning.is-focused, html.theme--documenter-dark .button.is-warning:active, html.theme--documenter-dark .button.is-warning:focus {
+      border-color: #ad8100;
+      box-shadow: 0 0 0 2px rgba(173, 129, 0, 0.5); }
+    html.theme--documenter-dark .button.is-danger.is-hovered, html.theme--documenter-dark .button.is-danger:hover {
+      background-color: #c12110; }
+    html.theme--documenter-dark .button.is-danger.is-active, html.theme--documenter-dark .button.is-danger.is-focused, html.theme--documenter-dark .button.is-danger:active, html.theme--documenter-dark .button.is-danger:focus {
+      border-color: #9e1b0d;
+      box-shadow: 0 0 0 2px rgba(158, 27, 13, 0.5); }
+  html.theme--documenter-dark .label {
+    color: #dbdee0; }
+  html.theme--documenter-dark .button,
+  html.theme--documenter-dark .control.has-icons-left .icon,
+  html.theme--documenter-dark .control.has-icons-right .icon,
+  html.theme--documenter-dark .input,
+  html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input,
+  html.theme--documenter-dark .pagination-ellipsis,
+  html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .select,
+  html.theme--documenter-dark .select select,
+  html.theme--documenter-dark .textarea {
+    height: 2.5em; }
+  html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input,
+  html.theme--documenter-dark .textarea {
+    transition: all 200ms ease;
+    box-shadow: none;
+    border-width: 1px;
+    padding-left: 1em;
+    padding-right: 1em; }
+  html.theme--documenter-dark .select:after,
+  html.theme--documenter-dark .select select {
+    border-width: 1px; }
+  html.theme--documenter-dark .control.has-addons .button,
+  html.theme--documenter-dark .control.has-addons .input,
+  html.theme--documenter-dark .control.has-addons #documenter .docs-sidebar form.docs-search > input,
+  html.theme--documenter-dark #documenter .docs-sidebar .control.has-addons form.docs-search > input,
+  html.theme--documenter-dark .control.has-addons .select {
+    margin-right: -1px; }
+  html.theme--documenter-dark .notification {
+    background-color: #343c3d; }
+  html.theme--documenter-dark .card {
+    box-shadow: none;
+    border: 1px solid #343c3d;
+    background-color: #282f2f;
+    border-radius: 0.4em; }
+    html.theme--documenter-dark .card .card-image img {
+      border-radius: 0.4em 0.4em 0 0; }
+    html.theme--documenter-dark .card .card-header {
+      box-shadow: none;
+      background-color: rgba(18, 18, 18, 0.2);
+      border-radius: 0.4em 0.4em 0 0; }
+    html.theme--documenter-dark .card .card-footer {
+      background-color: rgba(18, 18, 18, 0.2); }
+    html.theme--documenter-dark .card .card-footer,
+    html.theme--documenter-dark .card .card-footer-item {
+      border-width: 1px;
+      border-color: #343c3d; }
+  html.theme--documenter-dark .notification.is-white a:not(.button) {
+    color: #0a0a0a;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-black a:not(.button) {
+    color: white;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-light a:not(.button) {
+    color: #282f2f;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-dark a:not(.button), html.theme--documenter-dark .content kbd.notification a:not(.button) {
+    color: #ecf0f1;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-primary a:not(.button), html.theme--documenter-dark .docstring > section > a.notification.docs-sourcelink a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-link a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-info a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-success a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-warning a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-danger a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .tag, html.theme--documenter-dark .content kbd, html.theme--documenter-dark .docstring > section > a.docs-sourcelink {
+    border-radius: 0.4em; }
+  html.theme--documenter-dark .menu-list a {
+    transition: all 300ms ease; }
+  html.theme--documenter-dark .modal-card-body {
+    background-color: #282f2f; }
+  html.theme--documenter-dark .modal-card-foot,
+  html.theme--documenter-dark .modal-card-head {
+    border-color: #343c3d; }
+  html.theme--documenter-dark .message-header {
+    font-weight: 700;
+    background-color: #343c3d;
+    color: white; }
+  html.theme--documenter-dark .message-body {
+    border-width: 1px;
+    border-color: #343c3d; }
+  html.theme--documenter-dark .navbar {
+    border-radius: 0.4em; }
+    html.theme--documenter-dark .navbar.is-transparent {
+      background: none; }
+    html.theme--documenter-dark .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active {
+      background-color: #1abc9c; }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .navbar .navbar-menu {
+        background-color: #375a7f;
+        border-radius: 0 0 0.4em 0.4em; } }
+  html.theme--documenter-dark .hero .navbar,
+  html.theme--documenter-dark body > .navbar {
+    border-radius: 0; }
+  html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-previous {
+    border-width: 1px; }
+  html.theme--documenter-dark .panel-block,
+  html.theme--documenter-dark .panel-heading,
+  html.theme--documenter-dark .panel-tabs {
+    border-width: 1px; }
+    html.theme--documenter-dark .panel-block:first-child,
+    html.theme--documenter-dark .panel-heading:first-child,
+    html.theme--documenter-dark .panel-tabs:first-child {
+      border-top-width: 1px; }
+  html.theme--documenter-dark .panel-heading {
+    font-weight: 700; }
+  html.theme--documenter-dark .panel-tabs a {
+    border-width: 1px;
+    margin-bottom: -1px; }
+    html.theme--documenter-dark .panel-tabs a.is-active {
+      border-bottom-color: #17a689; }
+  html.theme--documenter-dark .panel-block:hover {
+    color: #1dd2af; }
+    html.theme--documenter-dark .panel-block:hover .panel-icon {
+      color: #1dd2af; }
+  html.theme--documenter-dark .panel-block.is-active .panel-icon {
+    color: #17a689; }
+  html.theme--documenter-dark .tabs a {
+    border-bottom-width: 1px;
+    margin-bottom: -1px; }
+  html.theme--documenter-dark .tabs ul {
+    border-bottom-width: 1px; }
+  html.theme--documenter-dark .tabs.is-boxed a {
+    border-width: 1px; }
+  html.theme--documenter-dark .tabs.is-boxed li.is-active a {
+    background-color: #1f2424; }
+  html.theme--documenter-dark .tabs.is-toggle li a {
+    border-width: 1px;
+    margin-bottom: 0; }
+  html.theme--documenter-dark .tabs.is-toggle li + li {
+    margin-left: -1px; }
+  html.theme--documenter-dark .hero.is-white .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-black .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-light .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-dark .navbar .navbar-dropdown .navbar-item:hover, html.theme--documenter-dark .content kbd.hero .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-primary .navbar .navbar-dropdown .navbar-item:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-link .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-info .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-success .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-warning .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-danger .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark h1 .docs-heading-anchor, html.theme--documenter-dark h1 .docs-heading-anchor:hover, html.theme--documenter-dark h1 .docs-heading-anchor:visited, html.theme--documenter-dark h2 .docs-heading-anchor, html.theme--documenter-dark h2 .docs-heading-anchor:hover, html.theme--documenter-dark h2 .docs-heading-anchor:visited, html.theme--documenter-dark h3 .docs-heading-anchor, html.theme--documenter-dark h3 .docs-heading-anchor:hover, html.theme--documenter-dark h3 .docs-heading-anchor:visited, html.theme--documenter-dark h4 .docs-heading-anchor, html.theme--documenter-dark h4 .docs-heading-anchor:hover, html.theme--documenter-dark h4 .docs-heading-anchor:visited, html.theme--documenter-dark h5 .docs-heading-anchor, html.theme--documenter-dark h5 .docs-heading-anchor:hover, html.theme--documenter-dark h5 .docs-heading-anchor:visited, html.theme--documenter-dark h6 .docs-heading-anchor, html.theme--documenter-dark h6 .docs-heading-anchor:hover, html.theme--documenter-dark h6 .docs-heading-anchor:visited {
+    color: #f2f2f2; }
+  html.theme--documenter-dark h1 .docs-heading-anchor-permalink, html.theme--documenter-dark h2 .docs-heading-anchor-permalink, html.theme--documenter-dark h3 .docs-heading-anchor-permalink, html.theme--documenter-dark h4 .docs-heading-anchor-permalink, html.theme--documenter-dark h5 .docs-heading-anchor-permalink, html.theme--documenter-dark h6 .docs-heading-anchor-permalink {
+    visibility: hidden;
+    vertical-align: middle;
+    margin-left: 0.5em;
+    font-size: 0.7rem; }
+    html.theme--documenter-dark h1 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h2 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h3 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h4 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h5 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h6 .docs-heading-anchor-permalink::before {
+      font-family: "Font Awesome 5 Free";
+      font-weight: 900;
+      content: "\f0c1"; }
+  html.theme--documenter-dark h1:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h2:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h3:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h4:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h5:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h6:hover .docs-heading-anchor-permalink {
+    visibility: visible; }
+  html.theme--documenter-dark .docs-light-only {
+    display: none !important; }
+  html.theme--documenter-dark pre {
+    position: relative;
+    overflow: hidden; }
+    html.theme--documenter-dark pre code, html.theme--documenter-dark pre code.hljs {
+      padding: 0 0.75rem !important;
+      overflow: auto;
+      display: block; }
+    html.theme--documenter-dark pre code:first-of-type, html.theme--documenter-dark pre code.hljs:first-of-type {
+      padding-top: 0.5rem !important; }
+    html.theme--documenter-dark pre code:last-of-type, html.theme--documenter-dark pre code.hljs:last-of-type {
+      padding-bottom: 0.5rem !important; }
+    html.theme--documenter-dark pre .copy-button {
+      opacity: 0.2;
+      transition: opacity 0.2s;
+      position: absolute;
+      right: 0em;
+      top: 0em;
+      padding: 0.5em;
+      width: 2.5em;
+      height: 2.5em;
+      background: transparent;
+      border: none;
+      font-family: "Font Awesome 5 Free";
+      color: #fff;
+      cursor: pointer;
+      text-align: center; }
+      html.theme--documenter-dark pre .copy-button:focus, html.theme--documenter-dark pre .copy-button:hover {
+        opacity: 1;
+        background: rgba(255, 255, 255, 0.1);
+        color: #1abc9c; }
+      html.theme--documenter-dark pre .copy-button.success {
+        color: #259a12;
+        opacity: 1; }
+      html.theme--documenter-dark pre .copy-button.error {
+        color: #cb3c33;
+        opacity: 1; }
+    html.theme--documenter-dark pre:hover .copy-button {
+      opacity: 1; }
+  html.theme--documenter-dark .admonition {
+    background-color: #282f2f;
+    border-style: solid;
+    border-width: 1px;
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    font-size: 15px; }
+    html.theme--documenter-dark .admonition strong {
+      color: currentColor; }
+    html.theme--documenter-dark .admonition.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.admonition {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .admonition.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .admonition.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .admonition.is-default {
+      background-color: #282f2f;
+      border-color: #5e6d6f; }
+      html.theme--documenter-dark .admonition.is-default > .admonition-header {
+        background-color: #5e6d6f; }
+    html.theme--documenter-dark .admonition.is-info {
+      background-color: #282f2f;
+      border-color: #024c7d; }
+      html.theme--documenter-dark .admonition.is-info > .admonition-header {
+        background-color: #024c7d; }
+    html.theme--documenter-dark .admonition.is-success {
+      background-color: #282f2f;
+      border-color: #008438; }
+      html.theme--documenter-dark .admonition.is-success > .admonition-header {
+        background-color: #008438; }
+    html.theme--documenter-dark .admonition.is-warning {
+      background-color: #282f2f;
+      border-color: #ad8100; }
+      html.theme--documenter-dark .admonition.is-warning > .admonition-header {
+        background-color: #ad8100; }
+    html.theme--documenter-dark .admonition.is-danger {
+      background-color: #282f2f;
+      border-color: #9e1b0d; }
+      html.theme--documenter-dark .admonition.is-danger > .admonition-header {
+        background-color: #9e1b0d; }
+    html.theme--documenter-dark .admonition.is-compat {
+      background-color: #282f2f;
+      border-color: #137886; }
+      html.theme--documenter-dark .admonition.is-compat > .admonition-header {
+        background-color: #137886; }
+  html.theme--documenter-dark .admonition-header {
+    background-color: #5e6d6f;
+    align-items: center;
+    font-weight: 700;
+    justify-content: space-between;
+    line-height: 1.25;
+    padding: 0.5rem 0.75rem;
+    position: relative; }
+    html.theme--documenter-dark .admonition-header:before {
+      font-family: "Font Awesome 5 Free";
+      font-weight: 900;
+      margin-right: 0.75rem;
+      content: "\f06a"; }
+  html.theme--documenter-dark .admonition-body {
+    color: #fff;
+    padding: 0.5rem 0.75rem; }
+    html.theme--documenter-dark .admonition-body pre {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .admonition-body code {
+      background-color: rgba(255, 255, 255, 0.05); }
+  html.theme--documenter-dark .docstring {
+    margin-bottom: 1em;
+    background-color: transparent;
+    border: 1px solid #5e6d6f;
+    box-shadow: none;
+    max-width: 100%; }
+    html.theme--documenter-dark .docstring > header {
+      display: flex;
+      flex-grow: 1;
+      align-items: stretch;
+      padding: 0.5rem 0.75rem;
+      background-color: #282f2f;
+      box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+      box-shadow: none;
+      border-bottom: 1px solid #5e6d6f; }
+      html.theme--documenter-dark .docstring > header code {
+        background-color: transparent; }
+      html.theme--documenter-dark .docstring > header .docstring-binding {
+        margin-right: 0.3em; }
+      html.theme--documenter-dark .docstring > header .docstring-category {
+        margin-left: 0.3em; }
+    html.theme--documenter-dark .docstring > section {
+      position: relative;
+      padding: 0.75rem 0.75rem;
+      border-bottom: 1px solid #5e6d6f; }
+      html.theme--documenter-dark .docstring > section:last-child {
+        border-bottom: none; }
+      html.theme--documenter-dark .docstring > section > a.docs-sourcelink {
+        transition: opacity 0.3s;
+        opacity: 0;
+        position: absolute;
+        right: 0.375rem;
+        bottom: 0.375rem; }
+        html.theme--documenter-dark .docstring > section > a.docs-sourcelink:focus {
+          opacity: 1 !important; }
+    html.theme--documenter-dark .docstring:hover > section > a.docs-sourcelink {
+      opacity: 0.2; }
+    html.theme--documenter-dark .docstring:focus-within > section > a.docs-sourcelink {
+      opacity: 0.2; }
+    html.theme--documenter-dark .docstring > section:hover a.docs-sourcelink {
+      opacity: 1; }
+  html.theme--documenter-dark .documenter-example-output {
+    background-color: #1f2424; }
+  html.theme--documenter-dark .outdated-warning-overlay {
+    position: fixed;
+    top: 0;
+    left: 0;
+    right: 0;
+    box-shadow: 0 0 10px rgba(0, 0, 0, 0.3);
+    z-index: 999;
+    background-color: #282f2f;
+    border-bottom: 3px solid #9e1b0d;
+    padding: 10px 35px;
+    text-align: center;
+    font-size: 15px; }
+    html.theme--documenter-dark .outdated-warning-overlay .outdated-warning-closer {
+      position: absolute;
+      top: calc(50% - 10px);
+      right: 18px;
+      cursor: pointer;
+      width: 12px; }
+    html.theme--documenter-dark .outdated-warning-overlay a {
+      color: #1abc9c; }
+      html.theme--documenter-dark .outdated-warning-overlay a:hover {
+        color: #1dd2af; }
+  html.theme--documenter-dark .content pre {
+    border: 1px solid #5e6d6f; }
+  html.theme--documenter-dark .content code {
+    font-weight: inherit; }
+  html.theme--documenter-dark .content a code {
+    color: #1abc9c; }
+  html.theme--documenter-dark .content h1 code, html.theme--documenter-dark .content h2 code, html.theme--documenter-dark .content h3 code, html.theme--documenter-dark .content h4 code, html.theme--documenter-dark .content h5 code, html.theme--documenter-dark .content h6 code {
+    color: #f2f2f2; }
+  html.theme--documenter-dark .content table {
+    display: block;
+    width: initial;
+    max-width: 100%;
+    overflow-x: auto; }
+  html.theme--documenter-dark .content blockquote > ul:first-child, html.theme--documenter-dark .content blockquote > ol:first-child, html.theme--documenter-dark .content .admonition-body > ul:first-child, html.theme--documenter-dark .content .admonition-body > ol:first-child {
+    margin-top: 0; }
+  html.theme--documenter-dark pre, html.theme--documenter-dark code {
+    font-variant-ligatures: no-contextual; }
+  html.theme--documenter-dark .breadcrumb a.is-disabled {
+    cursor: default;
+    pointer-events: none; }
+    html.theme--documenter-dark .breadcrumb a.is-disabled, html.theme--documenter-dark .breadcrumb a.is-disabled:hover {
+      color: #f2f2f2; }
+  html.theme--documenter-dark .hljs {
+    background: initial !important; }
+  html.theme--documenter-dark .katex .katex-mathml {
+    top: 0;
+    right: 0; }
+  html.theme--documenter-dark .katex-display, html.theme--documenter-dark mjx-container, html.theme--documenter-dark .MathJax_Display {
+    margin: 0.5em 0 !important; }
+  html.theme--documenter-dark html {
+    -moz-osx-font-smoothing: auto;
+    -webkit-font-smoothing: auto; }
+  html.theme--documenter-dark li.no-marker {
+    list-style: none; }
+  html.theme--documenter-dark #documenter .docs-main > article {
+    overflow-wrap: break-word; }
+    html.theme--documenter-dark #documenter .docs-main > article .math-container {
+      overflow-x: auto;
+      overflow-y: hidden; }
+  @media screen and (min-width: 1056px) {
+    html.theme--documenter-dark #documenter .docs-main {
+      max-width: 52rem;
+      margin-left: 20rem;
+      padding-right: 1rem; } }
+  @media screen and (max-width: 1055px) {
+    html.theme--documenter-dark #documenter .docs-main {
+      width: 100%; }
+      html.theme--documenter-dark #documenter .docs-main > article {
+        max-width: 52rem;
+        margin-left: auto;
+        margin-right: auto;
+        margin-bottom: 1rem;
+        padding: 0 1rem; }
+      html.theme--documenter-dark #documenter .docs-main > header, html.theme--documenter-dark #documenter .docs-main > nav {
+        max-width: 100%;
+        width: 100%;
+        margin: 0; } }
+  html.theme--documenter-dark #documenter .docs-main header.docs-navbar {
+    background-color: #1f2424;
+    border-bottom: 1px solid #5e6d6f;
+    z-index: 2;
+    min-height: 4rem;
+    margin-bottom: 1rem;
+    display: flex; }
+    html.theme--documenter-dark #documenter .docs-main header.docs-navbar .breadcrumb {
+      flex-grow: 1; }
+    html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right {
+      display: flex;
+      white-space: nowrap; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-icon, html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-label, html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+        display: inline-block; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-label {
+        padding: 0;
+        margin-left: 0.3em; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-settings-button {
+        margin: auto 0 auto 1rem; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+        font-size: 1.5rem;
+        margin: auto 0 auto 1rem; }
+    html.theme--documenter-dark #documenter .docs-main header.docs-navbar > * {
+      margin: auto 0; }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar {
+        position: sticky;
+        top: 0;
+        padding: 0 1rem;
+        /* For Headroom.js */
+        transition-property: top, box-shadow;
+        -webkit-transition-property: top, box-shadow;
+        /* Safari */
+        transition-duration: 0.3s;
+        -webkit-transition-duration: 0.3s;
+        /* Safari */ }
+        html.theme--documenter-dark #documenter .docs-main header.docs-navbar.headroom--not-top {
+          box-shadow: 0.2rem 0rem 0.4rem #171717;
+          transition-duration: 0.7s;
+          -webkit-transition-duration: 0.7s;
+          /* Safari */ }
+        html.theme--documenter-dark #documenter .docs-main header.docs-navbar.headroom--unpinned.headroom--not-top.headroom--not-bottom {
+          top: -4.5rem;
+          transition-duration: 0.7s;
+          -webkit-transition-duration: 0.7s;
+          /* Safari */ } }
+  html.theme--documenter-dark #documenter .docs-main section.footnotes {
+    border-top: 1px solid #5e6d6f; }
+    html.theme--documenter-dark #documenter .docs-main section.footnotes li .tag:first-child, html.theme--documenter-dark #documenter .docs-main section.footnotes li .docstring > section > a.docs-sourcelink:first-child, html.theme--documenter-dark #documenter .docs-main section.footnotes li .content kbd:first-child, html.theme--documenter-dark .content #documenter .docs-main section.footnotes li kbd:first-child {
+      margin-right: 1em;
+      margin-bottom: 0.4em; }
+  html.theme--documenter-dark #documenter .docs-main .docs-footer {
+    display: flex;
+    flex-wrap: wrap;
+    margin-left: 0;
+    margin-right: 0;
+    border-top: 1px solid #5e6d6f;
+    padding-top: 1rem;
+    padding-bottom: 1rem; }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark #documenter .docs-main .docs-footer {
+        padding-left: 1rem;
+        padding-right: 1rem; } }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-nextpage, html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-prevpage {
+      flex-grow: 1; }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-nextpage {
+      text-align: right; }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .flexbox-break {
+      flex-basis: 100%;
+      height: 0; }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .footer-message {
+      font-size: 0.8em;
+      margin: 0.5em auto 0 auto;
+      text-align: center; }
+  html.theme--documenter-dark #documenter .docs-sidebar {
+    display: flex;
+    flex-direction: column;
+    color: #fff;
+    background-color: #282f2f;
+    border-right: 1px solid #5e6d6f;
+    padding: 0;
+    flex: 0 0 18rem;
+    z-index: 5;
+    font-size: 15px;
+    position: fixed;
+    left: -18rem;
+    width: 18rem;
+    height: 100%;
+    transition: left 0.3s;
+    /* Setting up a nicer theme style for the scrollbar */ }
+    html.theme--documenter-dark #documenter .docs-sidebar.visible {
+      left: 0;
+      box-shadow: 0.4rem 0rem 0.8rem #171717; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark #documenter .docs-sidebar.visible {
+          box-shadow: none; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark #documenter .docs-sidebar {
+        left: 0;
+        top: 0; } }
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo {
+      margin-top: 1rem;
+      padding: 0 1rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img {
+        max-height: 6rem;
+        margin: auto; }
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name {
+      flex-shrink: 0;
+      font-size: 1.5rem;
+      font-weight: 700;
+      text-align: center;
+      white-space: nowrap;
+      overflow: hidden;
+      padding: 0.5rem 0; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name .docs-autofit {
+        max-width: 16.2rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name a, html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name a:hover {
+        color: #fff; }
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-version-selector {
+      border-top: 1px solid #5e6d6f;
+      display: none;
+      padding: 0.5rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-version-selector.visible {
+        display: flex; }
+    html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu {
+      flex-grow: 1;
+      user-select: none;
+      border-top: 1px solid #5e6d6f;
+      padding-bottom: 1.5rem;
+      /* Managing collapsible submenus */ }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li > .tocitem {
+        font-weight: bold; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li li {
+        font-size: 14.25px;
+        margin-left: 1em;
+        border-left: 1px solid #5e6d6f; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input.collapse-toggle {
+        display: none; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.collapsed {
+        display: none; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input:checked ~ ul.collapsed {
+        display: block; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem {
+        display: flex; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-label {
+          flex-grow: 2; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron {
+          display: inline-block;
+          font-style: normal;
+          font-variant: normal;
+          text-rendering: auto;
+          line-height: 1;
+          font-size: 11.25px;
+          margin-left: 1rem;
+          margin-top: auto;
+          margin-bottom: auto; }
+          html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron::before {
+            font-family: "Font Awesome 5 Free";
+            font-weight: 900;
+            content: "\f054"; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input:checked ~ label.tocitem .docs-chevron::before {
+        content: "\f078"; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem {
+        display: block;
+        padding: 0.5rem 0.5rem; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem:hover {
+          color: #fff;
+          background: #282f2f; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu a.tocitem:hover, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem:hover {
+        color: #fff;
+        background-color: #32393a; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active {
+        border-top: 1px solid #5e6d6f;
+        border-bottom: 1px solid #5e6d6f;
+        background-color: #1f2424; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem:hover {
+          background-color: #1f2424;
+          color: #fff; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active ul.internal .tocitem:hover {
+          background-color: #32393a;
+          color: #fff; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li.is-active:first-child {
+        border-top: none; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal {
+        margin: 0 0.5rem 0.5rem;
+        border-top: 1px solid #5e6d6f; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal li {
+          font-size: 12.75px;
+          border-left: none;
+          margin-left: 0;
+          margin-top: 0.5rem; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem {
+          width: 100%;
+          padding: 0; }
+          html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem::before {
+            content: "⚬";
+            margin-right: 0.4em; }
+    html.theme--documenter-dark #documenter .docs-sidebar form.docs-search {
+      margin: auto;
+      margin-top: 0.5rem;
+      margin-bottom: 0.5rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+        width: 14.4rem; }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu {
+        overflow-y: auto;
+        -webkit-overflow-scroll: touch; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar {
+          width: .3rem;
+          background: none; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb {
+          border-radius: 5px 0px 0px 5px;
+          background: #3b4445; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb:hover {
+          background: #4e5a5c; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark #documenter .docs-sidebar {
+        overflow-y: auto;
+        -webkit-overflow-scroll: touch; }
+        html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar {
+          width: .3rem;
+          background: none; }
+        html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar-thumb {
+          border-radius: 5px 0px 0px 5px;
+          background: #3b4445; }
+        html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar-thumb:hover {
+          background: #4e5a5c; } }
+  html.theme--documenter-dark #documenter .docs-main #documenter-search-info {
+    margin-bottom: 1rem; }
+  html.theme--documenter-dark #documenter .docs-main #documenter-search-results {
+    list-style-type: circle;
+    list-style-position: outside; }
+    html.theme--documenter-dark #documenter .docs-main #documenter-search-results li {
+      margin-left: 2rem; }
+    html.theme--documenter-dark #documenter .docs-main #documenter-search-results .docs-highlight {
+      background-color: yellow; }
+  html.theme--documenter-dark {
+    background-color: #1f2424;
+    font-size: 16px;
+    min-width: 300px;
+    overflow-x: auto;
+    overflow-y: scroll;
+    text-rendering: optimizeLegibility;
+    text-size-adjust: 100%; }
+  html.theme--documenter-dark .ansi span.sgr1 {
+    font-weight: bolder; }
+  html.theme--documenter-dark .ansi span.sgr2 {
+    font-weight: lighter; }
+  html.theme--documenter-dark .ansi span.sgr3 {
+    font-style: italic; }
+  html.theme--documenter-dark .ansi span.sgr4 {
+    text-decoration: underline; }
+  html.theme--documenter-dark .ansi span.sgr7 {
+    color: #1f2424;
+    background-color: #fff; }
+  html.theme--documenter-dark .ansi span.sgr8 {
+    color: transparent; }
+    html.theme--documenter-dark .ansi span.sgr8 span {
+      color: transparent; }
+  html.theme--documenter-dark .ansi span.sgr9 {
+    text-decoration: line-through; }
+  html.theme--documenter-dark .ansi span.sgr30 {
+    color: #242424; }
+  html.theme--documenter-dark .ansi span.sgr31 {
+    color: #f6705f; }
+  html.theme--documenter-dark .ansi span.sgr32 {
+    color: #4fb43a; }
+  html.theme--documenter-dark .ansi span.sgr33 {
+    color: #f4c72f; }
+  html.theme--documenter-dark .ansi span.sgr34 {
+    color: #7587f0; }
+  html.theme--documenter-dark .ansi span.sgr35 {
+    color: #bc89d3; }
+  html.theme--documenter-dark .ansi span.sgr36 {
+    color: #49b6ca; }
+  html.theme--documenter-dark .ansi span.sgr37 {
+    color: #b3bdbe; }
+  html.theme--documenter-dark .ansi span.sgr40 {
+    background-color: #242424; }
+  html.theme--documenter-dark .ansi span.sgr41 {
+    background-color: #f6705f; }
+  html.theme--documenter-dark .ansi span.sgr42 {
+    background-color: #4fb43a; }
+  html.theme--documenter-dark .ansi span.sgr43 {
+    background-color: #f4c72f; }
+  html.theme--documenter-dark .ansi span.sgr44 {
+    background-color: #7587f0; }
+  html.theme--documenter-dark .ansi span.sgr45 {
+    background-color: #bc89d3; }
+  html.theme--documenter-dark .ansi span.sgr46 {
+    background-color: #49b6ca; }
+  html.theme--documenter-dark .ansi span.sgr47 {
+    background-color: #b3bdbe; }
+  html.theme--documenter-dark .ansi span.sgr90 {
+    color: #92a0a2; }
+  html.theme--documenter-dark .ansi span.sgr91 {
+    color: #ff8674; }
+  html.theme--documenter-dark .ansi span.sgr92 {
+    color: #79d462; }
+  html.theme--documenter-dark .ansi span.sgr93 {
+    color: #ffe76b; }
+  html.theme--documenter-dark .ansi span.sgr94 {
+    color: #8a98ff; }
+  html.theme--documenter-dark .ansi span.sgr95 {
+    color: #d2a4e6; }
+  html.theme--documenter-dark .ansi span.sgr96 {
+    color: #6bc8db; }
+  html.theme--documenter-dark .ansi span.sgr97 {
+    color: #ecf0f1; }
+  html.theme--documenter-dark .ansi span.sgr100 {
+    background-color: #92a0a2; }
+  html.theme--documenter-dark .ansi span.sgr101 {
+    background-color: #ff8674; }
+  html.theme--documenter-dark .ansi span.sgr102 {
+    background-color: #79d462; }
+  html.theme--documenter-dark .ansi span.sgr103 {
+    background-color: #ffe76b; }
+  html.theme--documenter-dark .ansi span.sgr104 {
+    background-color: #8a98ff; }
+  html.theme--documenter-dark .ansi span.sgr105 {
+    background-color: #d2a4e6; }
+  html.theme--documenter-dark .ansi span.sgr106 {
+    background-color: #6bc8db; }
+  html.theme--documenter-dark .ansi span.sgr107 {
+    background-color: #ecf0f1; }
+  html.theme--documenter-dark code.language-julia-repl > span.hljs-meta {
+    color: #4fb43a;
+    font-weight: bolder; }
+  html.theme--documenter-dark .hljs {
+    background: #2b2b2b;
+    color: #f8f8f2; }
+  html.theme--documenter-dark .hljs-comment,
+  html.theme--documenter-dark .hljs-quote {
+    color: #d4d0ab; }
+  html.theme--documenter-dark .hljs-variable,
+  html.theme--documenter-dark .hljs-template-variable,
+  html.theme--documenter-dark .hljs-tag,
+  html.theme--documenter-dark .hljs-name,
+  html.theme--documenter-dark .hljs-selector-id,
+  html.theme--documenter-dark .hljs-selector-class,
+  html.theme--documenter-dark .hljs-regexp,
+  html.theme--documenter-dark .hljs-deletion {
+    color: #ffa07a; }
+  html.theme--documenter-dark .hljs-number,
+  html.theme--documenter-dark .hljs-built_in,
+  html.theme--documenter-dark .hljs-literal,
+  html.theme--documenter-dark .hljs-type,
+  html.theme--documenter-dark .hljs-params,
+  html.theme--documenter-dark .hljs-meta,
+  html.theme--documenter-dark .hljs-link {
+    color: #f5ab35; }
+  html.theme--documenter-dark .hljs-attribute {
+    color: #ffd700; }
+  html.theme--documenter-dark .hljs-string,
+  html.theme--documenter-dark .hljs-symbol,
+  html.theme--documenter-dark .hljs-bullet,
+  html.theme--documenter-dark .hljs-addition {
+    color: #abe338; }
+  html.theme--documenter-dark .hljs-title,
+  html.theme--documenter-dark .hljs-section {
+    color: #00e0e0; }
+  html.theme--documenter-dark .hljs-keyword,
+  html.theme--documenter-dark .hljs-selector-tag {
+    color: #dcc6e0; }
+  html.theme--documenter-dark .hljs-emphasis {
+    font-style: italic; }
+  html.theme--documenter-dark .hljs-strong {
+    font-weight: bold; }
+  @media screen and (-ms-high-contrast: active) {
+    html.theme--documenter-dark .hljs-addition,
+    html.theme--documenter-dark .hljs-attribute,
+    html.theme--documenter-dark .hljs-built_in,
+    html.theme--documenter-dark .hljs-bullet,
+    html.theme--documenter-dark .hljs-comment,
+    html.theme--documenter-dark .hljs-link,
+    html.theme--documenter-dark .hljs-literal,
+    html.theme--documenter-dark .hljs-meta,
+    html.theme--documenter-dark .hljs-number,
+    html.theme--documenter-dark .hljs-params,
+    html.theme--documenter-dark .hljs-string,
+    html.theme--documenter-dark .hljs-symbol,
+    html.theme--documenter-dark .hljs-type,
+    html.theme--documenter-dark .hljs-quote {
+      color: highlight; }
+    html.theme--documenter-dark .hljs-keyword,
+    html.theme--documenter-dark .hljs-selector-tag {
+      font-weight: bold; } }
+  html.theme--documenter-dark .hljs-subst {
+    color: #f8f8f2; }
diff --git a/v0.3.9/assets/themes/documenter-light.css b/v0.3.9/assets/themes/documenter-light.css
new file mode 100644
index 000000000..9595d5b8e
--- /dev/null
+++ b/v0.3.9/assets/themes/documenter-light.css
@@ -0,0 +1,7738 @@
+@charset "UTF-8";
+/* Font Awesome 5 mixin. Can be included in any rule that should render Font Awesome icons. */
+@keyframes spinAround {
+  from {
+    transform: rotate(0deg); }
+  to {
+    transform: rotate(359deg); } }
+
+.tabs, .pagination-previous,
+.pagination-next,
+.pagination-link,
+.pagination-ellipsis, .breadcrumb, .file, .button, .is-unselectable, .modal-close, .delete {
+  -webkit-touch-callout: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  user-select: none; }
+
+.navbar-link:not(.is-arrowless)::after, .select:not(.is-multiple):not(.is-loading)::after {
+  border: 3px solid transparent;
+  border-radius: 2px;
+  border-right: 0;
+  border-top: 0;
+  content: " ";
+  display: block;
+  height: 0.625em;
+  margin-top: -0.4375em;
+  pointer-events: none;
+  position: absolute;
+  top: 50%;
+  transform: rotate(-45deg);
+  transform-origin: center;
+  width: 0.625em; }
+
+.admonition:not(:last-child), .tabs:not(:last-child), .message:not(:last-child), .list:not(:last-child), .level:not(:last-child), .breadcrumb:not(:last-child), .highlight:not(:last-child), .block:not(:last-child), .title:not(:last-child),
+.subtitle:not(:last-child), .table-container:not(:last-child), .table:not(:last-child), .progress:not(:last-child), .notification:not(:last-child), .content:not(:last-child), .box:not(:last-child) {
+  margin-bottom: 1.5rem; }
+
+.modal-close, .delete {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  background-color: rgba(10, 10, 10, 0.2);
+  border: none;
+  border-radius: 290486px;
+  cursor: pointer;
+  pointer-events: auto;
+  display: inline-block;
+  flex-grow: 0;
+  flex-shrink: 0;
+  font-size: 0;
+  height: 20px;
+  max-height: 20px;
+  max-width: 20px;
+  min-height: 20px;
+  min-width: 20px;
+  outline: none;
+  position: relative;
+  vertical-align: top;
+  width: 20px; }
+  .modal-close::before, .delete::before, .modal-close::after, .delete::after {
+    background-color: white;
+    content: "";
+    display: block;
+    left: 50%;
+    position: absolute;
+    top: 50%;
+    transform: translateX(-50%) translateY(-50%) rotate(45deg);
+    transform-origin: center center; }
+  .modal-close::before, .delete::before {
+    height: 2px;
+    width: 50%; }
+  .modal-close::after, .delete::after {
+    height: 50%;
+    width: 2px; }
+  .modal-close:hover, .delete:hover, .modal-close:focus, .delete:focus {
+    background-color: rgba(10, 10, 10, 0.3); }
+  .modal-close:active, .delete:active {
+    background-color: rgba(10, 10, 10, 0.4); }
+  .is-small.modal-close, #documenter .docs-sidebar form.docs-search > input.modal-close, .is-small.delete, #documenter .docs-sidebar form.docs-search > input.delete {
+    height: 16px;
+    max-height: 16px;
+    max-width: 16px;
+    min-height: 16px;
+    min-width: 16px;
+    width: 16px; }
+  .is-medium.modal-close, .is-medium.delete {
+    height: 24px;
+    max-height: 24px;
+    max-width: 24px;
+    min-height: 24px;
+    min-width: 24px;
+    width: 24px; }
+  .is-large.modal-close, .is-large.delete {
+    height: 32px;
+    max-height: 32px;
+    max-width: 32px;
+    min-height: 32px;
+    min-width: 32px;
+    width: 32px; }
+
+.control.is-loading::after, .select.is-loading::after, .loader, .button.is-loading::after {
+  animation: spinAround 500ms infinite linear;
+  border: 2px solid #dbdbdb;
+  border-radius: 290486px;
+  border-right-color: transparent;
+  border-top-color: transparent;
+  content: "";
+  display: block;
+  height: 1em;
+  position: relative;
+  width: 1em; }
+
+.hero-video, .modal-background, .modal, .image.is-square img, #documenter .docs-sidebar .docs-logo > img.is-square img,
+.image.is-square .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, .image.is-1by1 img, #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+.image.is-1by1 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, .image.is-5by4 img, #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+.image.is-5by4 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, .image.is-4by3 img, #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
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+#documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, .image.is-3by2 img, #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+.image.is-3by2 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, .image.is-5by3 img, #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+.image.is-5by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, .image.is-16by9 img, #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+.image.is-16by9 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, .image.is-2by1 img, #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+.image.is-2by1 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, .image.is-3by1 img, #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+.image.is-3by1 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, .image.is-4by5 img, #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+.image.is-4by5 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, .image.is-3by4 img, #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+.image.is-3by4 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, .image.is-2by3 img, #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
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+#documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, .image.is-3by5 img, #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+.image.is-3by5 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, .image.is-9by16 img, #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+.image.is-9by16 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, .image.is-1by2 img, #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+.image.is-1by2 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, .image.is-1by3 img, #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+.image.is-1by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio, .is-overlay {
+  bottom: 0;
+  left: 0;
+  position: absolute;
+  right: 0;
+  top: 0; }
+
+.pagination-previous,
+.pagination-next,
+.pagination-link,
+.pagination-ellipsis, .file-cta,
+.file-name, .select select, .textarea, .input, #documenter .docs-sidebar form.docs-search > input, .button {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  align-items: center;
+  border: 1px solid transparent;
+  border-radius: 4px;
+  box-shadow: none;
+  display: inline-flex;
+  font-size: 1rem;
+  height: 2.25em;
+  justify-content: flex-start;
+  line-height: 1.5;
+  padding-bottom: calc(0.375em - 1px);
+  padding-left: calc(0.625em - 1px);
+  padding-right: calc(0.625em - 1px);
+  padding-top: calc(0.375em - 1px);
+  position: relative;
+  vertical-align: top; }
+  .pagination-previous:focus,
+  .pagination-next:focus,
+  .pagination-link:focus,
+  .pagination-ellipsis:focus, .file-cta:focus,
+  .file-name:focus, .select select:focus, .textarea:focus, .input:focus, #documenter .docs-sidebar form.docs-search > input:focus, .button:focus, .is-focused.pagination-previous,
+  .is-focused.pagination-next,
+  .is-focused.pagination-link,
+  .is-focused.pagination-ellipsis, .is-focused.file-cta,
+  .is-focused.file-name, .select select.is-focused, .is-focused.textarea, .is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-focused.button, .pagination-previous:active,
+  .pagination-next:active,
+  .pagination-link:active,
+  .pagination-ellipsis:active, .file-cta:active,
+  .file-name:active, .select select:active, .textarea:active, .input:active, #documenter .docs-sidebar form.docs-search > input:active, .button:active, .is-active.pagination-previous,
+  .is-active.pagination-next,
+  .is-active.pagination-link,
+  .is-active.pagination-ellipsis, .is-active.file-cta,
+  .is-active.file-name, .select select.is-active, .is-active.textarea, .is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .is-active.button {
+    outline: none; }
+  .pagination-previous[disabled],
+  .pagination-next[disabled],
+  .pagination-link[disabled],
+  .pagination-ellipsis[disabled], .file-cta[disabled],
+  .file-name[disabled], .select select[disabled], .textarea[disabled], .input[disabled], #documenter .docs-sidebar form.docs-search > input[disabled], .button[disabled], fieldset[disabled] .pagination-previous,
+  fieldset[disabled] .pagination-next,
+  fieldset[disabled] .pagination-link,
+  fieldset[disabled] .pagination-ellipsis, fieldset[disabled] .file-cta,
+  fieldset[disabled] .file-name, fieldset[disabled] .select select, .select fieldset[disabled] select, fieldset[disabled] .textarea, fieldset[disabled] .input, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input, fieldset[disabled] .button {
+    cursor: not-allowed; }
+
+/*! minireset.css v0.0.4 | MIT License | github.com/jgthms/minireset.css */
+html,
+body,
+p,
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+dl,
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+textarea,
+pre,
+iframe,
+hr,
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+h2,
+h3,
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+h5,
+h6 {
+  margin: 0;
+  padding: 0; }
+
+h1,
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+h3,
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+h5,
+h6 {
+  font-size: 100%;
+  font-weight: normal; }
+
+ul {
+  list-style: none; }
+
+button,
+input,
+select,
+textarea {
+  margin: 0; }
+
+html {
+  box-sizing: border-box; }
+
+*, *::before, *::after {
+  box-sizing: inherit; }
+
+img,
+embed,
+iframe,
+object,
+video {
+  height: auto;
+  max-width: 100%; }
+
+audio {
+  max-width: 100%; }
+
+iframe {
+  border: 0; }
+
+table {
+  border-collapse: collapse;
+  border-spacing: 0; }
+
+td,
+th {
+  padding: 0; }
+  td:not([align]),
+  th:not([align]) {
+    text-align: left; }
+
+html {
+  background-color: white;
+  font-size: 16px;
+  -moz-osx-font-smoothing: grayscale;
+  -webkit-font-smoothing: antialiased;
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+  overflow-x: auto;
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+  text-rendering: optimizeLegibility;
+  text-size-adjust: 100%; }
+
+article,
+aside,
+figure,
+footer,
+header,
+hgroup,
+section {
+  display: block; }
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+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif; }
+
+code,
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+  -webkit-font-smoothing: auto;
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace; }
+
+body {
+  color: #222222;
+  font-size: 1em;
+  font-weight: 400;
+  line-height: 1.5; }
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+a {
+  color: #2e63b8;
+  cursor: pointer;
+  text-decoration: none; }
+  a strong {
+    color: currentColor; }
+  a:hover {
+    color: #363636; }
+
+code {
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+  color: #000000;
+  font-size: 0.875em;
+  font-weight: normal;
+  padding: 0.1em; }
+
+hr {
+  background-color: whitesmoke;
+  border: none;
+  display: block;
+  height: 2px;
+  margin: 1.5rem 0; }
+
+img {
+  height: auto;
+  max-width: 100%; }
+
+input[type="checkbox"],
+input[type="radio"] {
+  vertical-align: baseline; }
+
+small {
+  font-size: 0.875em; }
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+span {
+  font-style: inherit;
+  font-weight: inherit; }
+
+strong {
+  color: #222222;
+  font-weight: 700; }
+
+fieldset {
+  border: none; }
+
+pre {
+  -webkit-overflow-scrolling: touch;
+  background-color: whitesmoke;
+  color: #222222;
+  font-size: 0.875em;
+  overflow-x: auto;
+  padding: 1.25rem 1.5rem;
+  white-space: pre;
+  word-wrap: normal; }
+  pre code {
+    background-color: transparent;
+    color: currentColor;
+    font-size: 1em;
+    padding: 0; }
+
+table td,
+table th {
+  vertical-align: top; }
+  table td:not([align]),
+  table th:not([align]) {
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+
+table th {
+  color: #222222; }
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+.is-clearfix::after {
+  clear: both;
+  content: " ";
+  display: table; }
+
+.is-pulled-left {
+  float: left !important; }
+
+.is-pulled-right {
+  float: right !important; }
+
+.is-clipped {
+  overflow: hidden !important; }
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+.is-size-1 {
+  font-size: 3rem !important; }
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+.is-size-6 {
+  font-size: 1rem !important; }
+
+.is-size-7, .docstring > section > a.docs-sourcelink {
+  font-size: 0.75rem !important; }
+
+@media screen and (max-width: 768px) {
+  .is-size-1-mobile {
+    font-size: 3rem !important; }
+  .is-size-2-mobile {
+    font-size: 2.5rem !important; }
+  .is-size-3-mobile {
+    font-size: 2rem !important; }
+  .is-size-4-mobile {
+    font-size: 1.5rem !important; }
+  .is-size-5-mobile {
+    font-size: 1.25rem !important; }
+  .is-size-6-mobile {
+    font-size: 1rem !important; }
+  .is-size-7-mobile {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-size-1-tablet {
+    font-size: 3rem !important; }
+  .is-size-2-tablet {
+    font-size: 2.5rem !important; }
+  .is-size-3-tablet {
+    font-size: 2rem !important; }
+  .is-size-4-tablet {
+    font-size: 1.5rem !important; }
+  .is-size-5-tablet {
+    font-size: 1.25rem !important; }
+  .is-size-6-tablet {
+    font-size: 1rem !important; }
+  .is-size-7-tablet {
+    font-size: 0.75rem !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-size-1-touch {
+    font-size: 3rem !important; }
+  .is-size-2-touch {
+    font-size: 2.5rem !important; }
+  .is-size-3-touch {
+    font-size: 2rem !important; }
+  .is-size-4-touch {
+    font-size: 1.5rem !important; }
+  .is-size-5-touch {
+    font-size: 1.25rem !important; }
+  .is-size-6-touch {
+    font-size: 1rem !important; }
+  .is-size-7-touch {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-size-1-desktop {
+    font-size: 3rem !important; }
+  .is-size-2-desktop {
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+  .is-size-3-desktop {
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+  .is-size-5-desktop {
+    font-size: 1.25rem !important; }
+  .is-size-6-desktop {
+    font-size: 1rem !important; }
+  .is-size-7-desktop {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-size-1-widescreen {
+    font-size: 3rem !important; }
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+  .is-size-7-widescreen {
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+  .is-size-2-fullhd {
+    font-size: 2.5rem !important; }
+  .is-size-3-fullhd {
+    font-size: 2rem !important; }
+  .is-size-4-fullhd {
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+
+.has-text-centered {
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+
+.has-text-justified {
+  text-align: justify !important; }
+
+.has-text-left {
+  text-align: left !important; }
+
+.has-text-right {
+  text-align: right !important; }
+
+@media screen and (max-width: 768px) {
+  .has-text-centered-mobile {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-centered-tablet {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-centered-tablet-only {
+    text-align: center !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-centered-touch {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-centered-desktop {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-centered-desktop-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-centered-widescreen {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-centered-widescreen-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-centered-fullhd {
+    text-align: center !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-justified-mobile {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-justified-tablet {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-justified-tablet-only {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-justified-touch {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-justified-desktop {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-justified-desktop-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-justified-widescreen {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-justified-widescreen-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-justified-fullhd {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-left-mobile {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-left-tablet {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-left-tablet-only {
+    text-align: left !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-left-touch {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-left-desktop {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-left-desktop-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-left-widescreen {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-left-widescreen-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-left-fullhd {
+    text-align: left !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-right-mobile {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-right-tablet {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-right-tablet-only {
+    text-align: right !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-right-touch {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-right-desktop {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-right-desktop-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-right-widescreen {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-right-widescreen-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-right-fullhd {
+    text-align: right !important; } }
+
+.is-capitalized {
+  text-transform: capitalize !important; }
+
+.is-lowercase {
+  text-transform: lowercase !important; }
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+.is-uppercase {
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+
+.is-italic {
+  font-style: italic !important; }
+
+.has-text-white {
+  color: white !important; }
+
+a.has-text-white:hover, a.has-text-white:focus {
+  color: #e6e6e6 !important; }
+
+.has-background-white {
+  background-color: white !important; }
+
+.has-text-black {
+  color: #0a0a0a !important; }
+
+a.has-text-black:hover, a.has-text-black:focus {
+  color: black !important; }
+
+.has-background-black {
+  background-color: #0a0a0a !important; }
+
+.has-text-light {
+  color: whitesmoke !important; }
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+a.has-text-light:hover, a.has-text-light:focus {
+  color: #dbdbdb !important; }
+
+.has-background-light {
+  background-color: whitesmoke !important; }
+
+.has-text-dark {
+  color: #363636 !important; }
+
+a.has-text-dark:hover, a.has-text-dark:focus {
+  color: #1c1c1c !important; }
+
+.has-background-dark {
+  background-color: #363636 !important; }
+
+.has-text-primary {
+  color: #4eb5de !important; }
+
+a.has-text-primary:hover, a.has-text-primary:focus {
+  color: #27a1d2 !important; }
+
+.has-background-primary {
+  background-color: #4eb5de !important; }
+
+.has-text-link {
+  color: #2e63b8 !important; }
+
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+  background-color: #2e63b8 !important; }
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+  color: #209cee !important; }
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+  color: #1081cb !important; }
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+  background-color: #209cee !important; }
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+  color: #22c35b !important; }
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+  color: #1a9847 !important; }
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+  background-color: #22c35b !important; }
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+  color: #ffdd57 !important; }
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+  color: #ffd324 !important; }
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+  color: #da0b00 !important; }
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+  color: #a70800 !important; }
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+  background-color: #da0b00 !important; }
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+  color: #121212 !important; }
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+  color: #242424 !important; }
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+  background-color: #242424 !important; }
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+  color: #363636 !important; }
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+  color: #4a4a4a !important; }
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+  background-color: #4a4a4a !important; }
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+  color: #6b6b6b !important; }
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+  background-color: #6b6b6b !important; }
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+  color: #b5b5b5 !important; }
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+.has-background-grey-light {
+  background-color: #b5b5b5 !important; }
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+.has-text-grey-lighter {
+  color: #dbdbdb !important; }
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+.has-background-grey-lighter {
+  background-color: #dbdbdb !important; }
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+.has-text-white-ter {
+  color: whitesmoke !important; }
+
+.has-background-white-ter {
+  background-color: whitesmoke !important; }
+
+.has-text-white-bis {
+  color: #fafafa !important; }
+
+.has-background-white-bis {
+  background-color: #fafafa !important; }
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+.has-text-weight-light {
+  font-weight: 300 !important; }
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+  font-weight: 400 !important; }
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+  font-weight: 500 !important; }
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+  font-weight: 600 !important; }
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+  font-weight: 700 !important; }
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+.is-family-primary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-secondary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-sans-serif {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-monospace {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-family-code {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-block {
+  display: block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-block-mobile {
+    display: block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-block-tablet {
+    display: block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-block-tablet-only {
+    display: block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-block-touch {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-block-desktop {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-block-desktop-only {
+    display: block !important; } }
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+@media screen and (min-width: 1216px) {
+  .is-block-widescreen {
+    display: block !important; } }
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+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-block-widescreen-only {
+    display: block !important; } }
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+@media screen and (min-width: 1408px) {
+  .is-block-fullhd {
+    display: block !important; } }
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+.is-flex {
+  display: flex !important; }
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+@media screen and (max-width: 768px) {
+  .is-flex-mobile {
+    display: flex !important; } }
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+@media screen and (min-width: 769px), print {
+  .is-flex-tablet {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-flex-tablet-only {
+    display: flex !important; } }
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+  .is-flex-touch {
+    display: flex !important; } }
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+@media screen and (min-width: 1056px) {
+  .is-flex-desktop {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-flex-desktop-only {
+    display: flex !important; } }
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+  .is-flex-widescreen {
+    display: flex !important; } }
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+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-flex-widescreen-only {
+    display: flex !important; } }
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+@media screen and (min-width: 1408px) {
+  .is-flex-fullhd {
+    display: flex !important; } }
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+  display: inline !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-mobile {
+    display: inline !important; } }
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+@media screen and (min-width: 769px), print {
+  .is-inline-tablet {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-tablet-only {
+    display: inline !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-touch {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-desktop {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-desktop-only {
+    display: inline !important; } }
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+  .is-inline-widescreen {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-widescreen-only {
+    display: inline !important; } }
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+@media screen and (min-width: 1408px) {
+  .is-inline-fullhd {
+    display: inline !important; } }
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+.is-inline-block {
+  display: inline-block !important; }
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+@media screen and (max-width: 768px) {
+  .is-inline-block-mobile {
+    display: inline-block !important; } }
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+@media screen and (min-width: 769px), print {
+  .is-inline-block-tablet {
+    display: inline-block !important; } }
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+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-block-tablet-only {
+    display: inline-block !important; } }
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+@media screen and (max-width: 1055px) {
+  .is-inline-block-touch {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-block-desktop {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-block-desktop-only {
+    display: inline-block !important; } }
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+@media screen and (min-width: 1216px) {
+  .is-inline-block-widescreen {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-block-widescreen-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-block-fullhd {
+    display: inline-block !important; } }
+
+.is-inline-flex {
+  display: inline-flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-flex-mobile {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-flex-tablet {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-flex-tablet-only {
+    display: inline-flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-flex-touch {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-flex-desktop {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-flex-desktop-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-flex-widescreen {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-flex-widescreen-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-flex-fullhd {
+    display: inline-flex !important; } }
+
+.is-hidden {
+  display: none !important; }
+
+.is-sr-only {
+  border: none !important;
+  clip: rect(0, 0, 0, 0) !important;
+  height: 0.01em !important;
+  overflow: hidden !important;
+  padding: 0 !important;
+  position: absolute !important;
+  white-space: nowrap !important;
+  width: 0.01em !important; }
+
+@media screen and (max-width: 768px) {
+  .is-hidden-mobile {
+    display: none !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-hidden-tablet {
+    display: none !important; } }
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+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-hidden-tablet-only {
+    display: none !important; } }
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+@media screen and (max-width: 1055px) {
+  .is-hidden-touch {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-hidden-desktop {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-hidden-desktop-only {
+    display: none !important; } }
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+@media screen and (min-width: 1216px) {
+  .is-hidden-widescreen {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-hidden-widescreen-only {
+    display: none !important; } }
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+@media screen and (min-width: 1408px) {
+  .is-hidden-fullhd {
+    display: none !important; } }
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+.is-invisible {
+  visibility: hidden !important; }
+
+@media screen and (max-width: 768px) {
+  .is-invisible-mobile {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-invisible-tablet {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-invisible-tablet-only {
+    visibility: hidden !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-invisible-touch {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-invisible-desktop {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-invisible-desktop-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-invisible-widescreen {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-invisible-widescreen-only {
+    visibility: hidden !important; } }
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+@media screen and (min-width: 1408px) {
+  .is-invisible-fullhd {
+    visibility: hidden !important; } }
+
+.is-marginless {
+  margin: 0 !important; }
+
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+  padding: 0 !important; }
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+.is-radiusless {
+  border-radius: 0 !important; }
+
+.is-shadowless {
+  box-shadow: none !important; }
+
+.is-relative {
+  position: relative !important; }
+
+.box {
+  background-color: white;
+  border-radius: 6px;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+  color: #222222;
+  display: block;
+  padding: 1.25rem; }
+
+a.box:hover, a.box:focus {
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px #2e63b8; }
+
+a.box:active {
+  box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2), 0 0 0 1px #2e63b8; }
+
+.button {
+  background-color: white;
+  border-color: #dbdbdb;
+  border-width: 1px;
+  color: #363636;
+  cursor: pointer;
+  justify-content: center;
+  padding-bottom: calc(0.375em - 1px);
+  padding-left: 0.75em;
+  padding-right: 0.75em;
+  padding-top: calc(0.375em - 1px);
+  text-align: center;
+  white-space: nowrap; }
+  .button strong {
+    color: inherit; }
+  .button .icon, .button .icon.is-small, .button #documenter .docs-sidebar form.docs-search > input.icon, #documenter .docs-sidebar .button form.docs-search > input.icon, .button .icon.is-medium, .button .icon.is-large {
+    height: 1.5em;
+    width: 1.5em; }
+  .button .icon:first-child:not(:last-child) {
+    margin-left: calc(-0.375em - 1px);
+    margin-right: 0.1875em; }
+  .button .icon:last-child:not(:first-child) {
+    margin-left: 0.1875em;
+    margin-right: calc(-0.375em - 1px); }
+  .button .icon:first-child:last-child {
+    margin-left: calc(-0.375em - 1px);
+    margin-right: calc(-0.375em - 1px); }
+  .button:hover, .button.is-hovered {
+    border-color: #b5b5b5;
+    color: #363636; }
+  .button:focus, .button.is-focused {
+    border-color: #3c5dcd;
+    color: #363636; }
+    .button:focus:not(:active), .button.is-focused:not(:active) {
+      box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .button:active, .button.is-active {
+    border-color: #4a4a4a;
+    color: #363636; }
+  .button.is-text {
+    background-color: transparent;
+    border-color: transparent;
+    color: #222222;
+    text-decoration: underline; }
+    .button.is-text:hover, .button.is-text.is-hovered, .button.is-text:focus, .button.is-text.is-focused {
+      background-color: whitesmoke;
+      color: #222222; }
+    .button.is-text:active, .button.is-text.is-active {
+      background-color: #e8e8e8;
+      color: #222222; }
+    .button.is-text[disabled], fieldset[disabled] .button.is-text {
+      background-color: transparent;
+      border-color: transparent;
+      box-shadow: none; }
+  .button.is-white {
+    background-color: white;
+    border-color: transparent;
+    color: #0a0a0a; }
+    .button.is-white:hover, .button.is-white.is-hovered {
+      background-color: #f9f9f9;
+      border-color: transparent;
+      color: #0a0a0a; }
+    .button.is-white:focus, .button.is-white.is-focused {
+      border-color: transparent;
+      color: #0a0a0a; }
+      .button.is-white:focus:not(:active), .button.is-white.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+    .button.is-white:active, .button.is-white.is-active {
+      background-color: #f2f2f2;
+      border-color: transparent;
+      color: #0a0a0a; }
+    .button.is-white[disabled], fieldset[disabled] .button.is-white {
+      background-color: white;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-white.is-inverted {
+      background-color: #0a0a0a;
+      color: white; }
+      .button.is-white.is-inverted:hover, .button.is-white.is-inverted.is-hovered {
+        background-color: black; }
+      .button.is-white.is-inverted[disabled], fieldset[disabled] .button.is-white.is-inverted {
+        background-color: #0a0a0a;
+        border-color: transparent;
+        box-shadow: none;
+        color: white; }
+    .button.is-white.is-loading::after {
+      border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+    .button.is-white.is-outlined {
+      background-color: transparent;
+      border-color: white;
+      color: white; }
+      .button.is-white.is-outlined:hover, .button.is-white.is-outlined.is-hovered, .button.is-white.is-outlined:focus, .button.is-white.is-outlined.is-focused {
+        background-color: white;
+        border-color: white;
+        color: #0a0a0a; }
+      .button.is-white.is-outlined.is-loading::after {
+        border-color: transparent transparent white white !important; }
+      .button.is-white.is-outlined.is-loading:hover::after, .button.is-white.is-outlined.is-loading.is-hovered::after, .button.is-white.is-outlined.is-loading:focus::after, .button.is-white.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      .button.is-white.is-outlined[disabled], fieldset[disabled] .button.is-white.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        box-shadow: none;
+        color: white; }
+    .button.is-white.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #0a0a0a;
+      color: #0a0a0a; }
+      .button.is-white.is-inverted.is-outlined:hover, .button.is-white.is-inverted.is-outlined.is-hovered, .button.is-white.is-inverted.is-outlined:focus, .button.is-white.is-inverted.is-outlined.is-focused {
+        background-color: #0a0a0a;
+        color: white; }
+      .button.is-white.is-inverted.is-outlined.is-loading:hover::after, .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-white.is-inverted.is-outlined.is-loading:focus::after, .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent white white !important; }
+      .button.is-white.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-white.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        box-shadow: none;
+        color: #0a0a0a; }
+  .button.is-black {
+    background-color: #0a0a0a;
+    border-color: transparent;
+    color: white; }
+    .button.is-black:hover, .button.is-black.is-hovered {
+      background-color: #040404;
+      border-color: transparent;
+      color: white; }
+    .button.is-black:focus, .button.is-black.is-focused {
+      border-color: transparent;
+      color: white; }
+      .button.is-black:focus:not(:active), .button.is-black.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+    .button.is-black:active, .button.is-black.is-active {
+      background-color: black;
+      border-color: transparent;
+      color: white; }
+    .button.is-black[disabled], fieldset[disabled] .button.is-black {
+      background-color: #0a0a0a;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-black.is-inverted {
+      background-color: white;
+      color: #0a0a0a; }
+      .button.is-black.is-inverted:hover, .button.is-black.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-black.is-inverted[disabled], fieldset[disabled] .button.is-black.is-inverted {
+        background-color: white;
+        border-color: transparent;
+        box-shadow: none;
+        color: #0a0a0a; }
+    .button.is-black.is-loading::after {
+      border-color: transparent transparent white white !important; }
+    .button.is-black.is-outlined {
+      background-color: transparent;
+      border-color: #0a0a0a;
+      color: #0a0a0a; }
+      .button.is-black.is-outlined:hover, .button.is-black.is-outlined.is-hovered, .button.is-black.is-outlined:focus, .button.is-black.is-outlined.is-focused {
+        background-color: #0a0a0a;
+        border-color: #0a0a0a;
+        color: white; }
+      .button.is-black.is-outlined.is-loading::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      .button.is-black.is-outlined.is-loading:hover::after, .button.is-black.is-outlined.is-loading.is-hovered::after, .button.is-black.is-outlined.is-loading:focus::after, .button.is-black.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent white white !important; }
+      .button.is-black.is-outlined[disabled], fieldset[disabled] .button.is-black.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        box-shadow: none;
+        color: #0a0a0a; }
+    .button.is-black.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: white;
+      color: white; }
+      .button.is-black.is-inverted.is-outlined:hover, .button.is-black.is-inverted.is-outlined.is-hovered, .button.is-black.is-inverted.is-outlined:focus, .button.is-black.is-inverted.is-outlined.is-focused {
+        background-color: white;
+        color: #0a0a0a; }
+      .button.is-black.is-inverted.is-outlined.is-loading:hover::after, .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-black.is-inverted.is-outlined.is-loading:focus::after, .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      .button.is-black.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-black.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        box-shadow: none;
+        color: white; }
+  .button.is-light {
+    background-color: whitesmoke;
+    border-color: transparent;
+    color: #363636; }
+    .button.is-light:hover, .button.is-light.is-hovered {
+      background-color: #eeeeee;
+      border-color: transparent;
+      color: #363636; }
+    .button.is-light:focus, .button.is-light.is-focused {
+      border-color: transparent;
+      color: #363636; }
+      .button.is-light:focus:not(:active), .button.is-light.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); }
+    .button.is-light:active, .button.is-light.is-active {
+      background-color: #e8e8e8;
+      border-color: transparent;
+      color: #363636; }
+    .button.is-light[disabled], fieldset[disabled] .button.is-light {
+      background-color: whitesmoke;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-light.is-inverted {
+      background-color: #363636;
+      color: whitesmoke; }
+      .button.is-light.is-inverted:hover, .button.is-light.is-inverted.is-hovered {
+        background-color: #292929; }
+      .button.is-light.is-inverted[disabled], fieldset[disabled] .button.is-light.is-inverted {
+        background-color: #363636;
+        border-color: transparent;
+        box-shadow: none;
+        color: whitesmoke; }
+    .button.is-light.is-loading::after {
+      border-color: transparent transparent #363636 #363636 !important; }
+    .button.is-light.is-outlined {
+      background-color: transparent;
+      border-color: whitesmoke;
+      color: whitesmoke; }
+      .button.is-light.is-outlined:hover, .button.is-light.is-outlined.is-hovered, .button.is-light.is-outlined:focus, .button.is-light.is-outlined.is-focused {
+        background-color: whitesmoke;
+        border-color: whitesmoke;
+        color: #363636; }
+      .button.is-light.is-outlined.is-loading::after {
+        border-color: transparent transparent whitesmoke whitesmoke !important; }
+      .button.is-light.is-outlined.is-loading:hover::after, .button.is-light.is-outlined.is-loading.is-hovered::after, .button.is-light.is-outlined.is-loading:focus::after, .button.is-light.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #363636 #363636 !important; }
+      .button.is-light.is-outlined[disabled], fieldset[disabled] .button.is-light.is-outlined {
+        background-color: transparent;
+        border-color: whitesmoke;
+        box-shadow: none;
+        color: whitesmoke; }
+    .button.is-light.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #363636;
+      color: #363636; }
+      .button.is-light.is-inverted.is-outlined:hover, .button.is-light.is-inverted.is-outlined.is-hovered, .button.is-light.is-inverted.is-outlined:focus, .button.is-light.is-inverted.is-outlined.is-focused {
+        background-color: #363636;
+        color: whitesmoke; }
+      .button.is-light.is-inverted.is-outlined.is-loading:hover::after, .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-light.is-inverted.is-outlined.is-loading:focus::after, .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent whitesmoke whitesmoke !important; }
+      .button.is-light.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-light.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #363636;
+        box-shadow: none;
+        color: #363636; }
+  .button.is-dark, .content kbd.button {
+    background-color: #363636;
+    border-color: transparent;
+    color: whitesmoke; }
+    .button.is-dark:hover, .content kbd.button:hover, .button.is-dark.is-hovered, .content kbd.button.is-hovered {
+      background-color: #2f2f2f;
+      border-color: transparent;
+      color: whitesmoke; }
+    .button.is-dark:focus, .content kbd.button:focus, .button.is-dark.is-focused, .content kbd.button.is-focused {
+      border-color: transparent;
+      color: whitesmoke; }
+      .button.is-dark:focus:not(:active), .content kbd.button:focus:not(:active), .button.is-dark.is-focused:not(:active), .content kbd.button.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); }
+    .button.is-dark:active, .content kbd.button:active, .button.is-dark.is-active, .content kbd.button.is-active {
+      background-color: #292929;
+      border-color: transparent;
+      color: whitesmoke; }
+    .button.is-dark[disabled], .content kbd.button[disabled], fieldset[disabled] .button.is-dark, fieldset[disabled] .content kbd.button, .content fieldset[disabled] kbd.button {
+      background-color: #363636;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-dark.is-inverted, .content kbd.button.is-inverted {
+      background-color: whitesmoke;
+      color: #363636; }
+      .button.is-dark.is-inverted:hover, .content kbd.button.is-inverted:hover, .button.is-dark.is-inverted.is-hovered, .content kbd.button.is-inverted.is-hovered {
+        background-color: #e8e8e8; }
+      .button.is-dark.is-inverted[disabled], .content kbd.button.is-inverted[disabled], fieldset[disabled] .button.is-dark.is-inverted, fieldset[disabled] .content kbd.button.is-inverted, .content fieldset[disabled] kbd.button.is-inverted {
+        background-color: whitesmoke;
+        border-color: transparent;
+        box-shadow: none;
+        color: #363636; }
+    .button.is-dark.is-loading::after, .content kbd.button.is-loading::after {
+      border-color: transparent transparent whitesmoke whitesmoke !important; }
+    .button.is-dark.is-outlined, .content kbd.button.is-outlined {
+      background-color: transparent;
+      border-color: #363636;
+      color: #363636; }
+      .button.is-dark.is-outlined:hover, .content kbd.button.is-outlined:hover, .button.is-dark.is-outlined.is-hovered, .content kbd.button.is-outlined.is-hovered, .button.is-dark.is-outlined:focus, .content kbd.button.is-outlined:focus, .button.is-dark.is-outlined.is-focused, .content kbd.button.is-outlined.is-focused {
+        background-color: #363636;
+        border-color: #363636;
+        color: whitesmoke; }
+      .button.is-dark.is-outlined.is-loading::after, .content kbd.button.is-outlined.is-loading::after {
+        border-color: transparent transparent #363636 #363636 !important; }
+      .button.is-dark.is-outlined.is-loading:hover::after, .content kbd.button.is-outlined.is-loading:hover::after, .button.is-dark.is-outlined.is-loading.is-hovered::after, .content kbd.button.is-outlined.is-loading.is-hovered::after, .button.is-dark.is-outlined.is-loading:focus::after, .content kbd.button.is-outlined.is-loading:focus::after, .button.is-dark.is-outlined.is-loading.is-focused::after, .content kbd.button.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent whitesmoke whitesmoke !important; }
+      .button.is-dark.is-outlined[disabled], .content kbd.button.is-outlined[disabled], fieldset[disabled] .button.is-dark.is-outlined, fieldset[disabled] .content kbd.button.is-outlined, .content fieldset[disabled] kbd.button.is-outlined {
+        background-color: transparent;
+        border-color: #363636;
+        box-shadow: none;
+        color: #363636; }
+    .button.is-dark.is-inverted.is-outlined, .content kbd.button.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: whitesmoke;
+      color: whitesmoke; }
+      .button.is-dark.is-inverted.is-outlined:hover, .content kbd.button.is-inverted.is-outlined:hover, .button.is-dark.is-inverted.is-outlined.is-hovered, .content kbd.button.is-inverted.is-outlined.is-hovered, .button.is-dark.is-inverted.is-outlined:focus, .content kbd.button.is-inverted.is-outlined:focus, .button.is-dark.is-inverted.is-outlined.is-focused, .content kbd.button.is-inverted.is-outlined.is-focused {
+        background-color: whitesmoke;
+        color: #363636; }
+      .button.is-dark.is-inverted.is-outlined.is-loading:hover::after, .content kbd.button.is-inverted.is-outlined.is-loading:hover::after, .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after, .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-dark.is-inverted.is-outlined.is-loading:focus::after, .content kbd.button.is-inverted.is-outlined.is-loading:focus::after, .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after, .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #363636 #363636 !important; }
+      .button.is-dark.is-inverted.is-outlined[disabled], .content kbd.button.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-dark.is-inverted.is-outlined, fieldset[disabled] .content kbd.button.is-inverted.is-outlined, .content fieldset[disabled] kbd.button.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: whitesmoke;
+        box-shadow: none;
+        color: whitesmoke; }
+  .button.is-primary, .docstring > section > a.button.docs-sourcelink {
+    background-color: #4eb5de;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-primary:hover, .docstring > section > a.button.docs-sourcelink:hover, .button.is-primary.is-hovered, .docstring > section > a.button.is-hovered.docs-sourcelink {
+      background-color: #43b1dc;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-primary:focus, .docstring > section > a.button.docs-sourcelink:focus, .button.is-primary.is-focused, .docstring > section > a.button.is-focused.docs-sourcelink {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-primary:focus:not(:active), .docstring > section > a.button.docs-sourcelink:focus:not(:active), .button.is-primary.is-focused:not(:active), .docstring > section > a.button.is-focused.docs-sourcelink:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); }
+    .button.is-primary:active, .docstring > section > a.button.docs-sourcelink:active, .button.is-primary.is-active, .docstring > section > a.button.is-active.docs-sourcelink {
+      background-color: #39acda;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-primary[disabled], .docstring > section > a.button.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary, fieldset[disabled] .docstring > section > a.button.docs-sourcelink {
+      background-color: #4eb5de;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-primary.is-inverted, .docstring > section > a.button.is-inverted.docs-sourcelink {
+      background-color: #fff;
+      color: #4eb5de; }
+      .button.is-primary.is-inverted:hover, .docstring > section > a.button.is-inverted.docs-sourcelink:hover, .button.is-primary.is-inverted.is-hovered, .docstring > section > a.button.is-inverted.is-hovered.docs-sourcelink {
+        background-color: #f2f2f2; }
+      .button.is-primary.is-inverted[disabled], .docstring > section > a.button.is-inverted.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-inverted, fieldset[disabled] .docstring > section > a.button.is-inverted.docs-sourcelink {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #4eb5de; }
+    .button.is-primary.is-loading::after, .docstring > section > a.button.is-loading.docs-sourcelink::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-primary.is-outlined, .docstring > section > a.button.is-outlined.docs-sourcelink {
+      background-color: transparent;
+      border-color: #4eb5de;
+      color: #4eb5de; }
+      .button.is-primary.is-outlined:hover, .docstring > section > a.button.is-outlined.docs-sourcelink:hover, .button.is-primary.is-outlined.is-hovered, .docstring > section > a.button.is-outlined.is-hovered.docs-sourcelink, .button.is-primary.is-outlined:focus, .docstring > section > a.button.is-outlined.docs-sourcelink:focus, .button.is-primary.is-outlined.is-focused, .docstring > section > a.button.is-outlined.is-focused.docs-sourcelink {
+        background-color: #4eb5de;
+        border-color: #4eb5de;
+        color: #fff; }
+      .button.is-primary.is-outlined.is-loading::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink::after {
+        border-color: transparent transparent #4eb5de #4eb5de !important; }
+      .button.is-primary.is-outlined.is-loading:hover::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:hover::after, .button.is-primary.is-outlined.is-loading.is-hovered::after, .docstring > section > a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after, .button.is-primary.is-outlined.is-loading:focus::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:focus::after, .button.is-primary.is-outlined.is-loading.is-focused::after, .docstring > section > a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-primary.is-outlined[disabled], .docstring > section > a.button.is-outlined.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-outlined, fieldset[disabled] .docstring > section > a.button.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #4eb5de;
+        box-shadow: none;
+        color: #4eb5de; }
+    .button.is-primary.is-inverted.is-outlined, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-primary.is-inverted.is-outlined:hover, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:hover, .button.is-primary.is-inverted.is-outlined.is-hovered, .docstring > section > a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink, .button.is-primary.is-inverted.is-outlined:focus, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:focus, .button.is-primary.is-inverted.is-outlined.is-focused, .docstring > section > a.button.is-inverted.is-outlined.is-focused.docs-sourcelink {
+        background-color: #fff;
+        color: #4eb5de; }
+      .button.is-primary.is-inverted.is-outlined.is-loading:hover::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after, .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after, .button.is-primary.is-inverted.is-outlined.is-loading:focus::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after, .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+        border-color: transparent transparent #4eb5de #4eb5de !important; }
+      .button.is-primary.is-inverted.is-outlined[disabled], .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-inverted.is-outlined, fieldset[disabled] .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-link {
+    background-color: #2e63b8;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-link:hover, .button.is-link.is-hovered {
+      background-color: #2b5eae;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-link:focus, .button.is-link.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-link:focus:not(:active), .button.is-link.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+    .button.is-link:active, .button.is-link.is-active {
+      background-color: #2958a4;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-link[disabled], fieldset[disabled] .button.is-link {
+      background-color: #2e63b8;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-link.is-inverted {
+      background-color: #fff;
+      color: #2e63b8; }
+      .button.is-link.is-inverted:hover, .button.is-link.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-link.is-inverted[disabled], fieldset[disabled] .button.is-link.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #2e63b8; }
+    .button.is-link.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-link.is-outlined {
+      background-color: transparent;
+      border-color: #2e63b8;
+      color: #2e63b8; }
+      .button.is-link.is-outlined:hover, .button.is-link.is-outlined.is-hovered, .button.is-link.is-outlined:focus, .button.is-link.is-outlined.is-focused {
+        background-color: #2e63b8;
+        border-color: #2e63b8;
+        color: #fff; }
+      .button.is-link.is-outlined.is-loading::after {
+        border-color: transparent transparent #2e63b8 #2e63b8 !important; }
+      .button.is-link.is-outlined.is-loading:hover::after, .button.is-link.is-outlined.is-loading.is-hovered::after, .button.is-link.is-outlined.is-loading:focus::after, .button.is-link.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-link.is-outlined[disabled], fieldset[disabled] .button.is-link.is-outlined {
+        background-color: transparent;
+        border-color: #2e63b8;
+        box-shadow: none;
+        color: #2e63b8; }
+    .button.is-link.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-link.is-inverted.is-outlined:hover, .button.is-link.is-inverted.is-outlined.is-hovered, .button.is-link.is-inverted.is-outlined:focus, .button.is-link.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #2e63b8; }
+      .button.is-link.is-inverted.is-outlined.is-loading:hover::after, .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-link.is-inverted.is-outlined.is-loading:focus::after, .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #2e63b8 #2e63b8 !important; }
+      .button.is-link.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-link.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-info {
+    background-color: #209cee;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-info:hover, .button.is-info.is-hovered {
+      background-color: #1497ed;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-info:focus, .button.is-info.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-info:focus:not(:active), .button.is-info.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); }
+    .button.is-info:active, .button.is-info.is-active {
+      background-color: #1190e3;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-info[disabled], fieldset[disabled] .button.is-info {
+      background-color: #209cee;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-info.is-inverted {
+      background-color: #fff;
+      color: #209cee; }
+      .button.is-info.is-inverted:hover, .button.is-info.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-info.is-inverted[disabled], fieldset[disabled] .button.is-info.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #209cee; }
+    .button.is-info.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-info.is-outlined {
+      background-color: transparent;
+      border-color: #209cee;
+      color: #209cee; }
+      .button.is-info.is-outlined:hover, .button.is-info.is-outlined.is-hovered, .button.is-info.is-outlined:focus, .button.is-info.is-outlined.is-focused {
+        background-color: #209cee;
+        border-color: #209cee;
+        color: #fff; }
+      .button.is-info.is-outlined.is-loading::after {
+        border-color: transparent transparent #209cee #209cee !important; }
+      .button.is-info.is-outlined.is-loading:hover::after, .button.is-info.is-outlined.is-loading.is-hovered::after, .button.is-info.is-outlined.is-loading:focus::after, .button.is-info.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-info.is-outlined[disabled], fieldset[disabled] .button.is-info.is-outlined {
+        background-color: transparent;
+        border-color: #209cee;
+        box-shadow: none;
+        color: #209cee; }
+    .button.is-info.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-info.is-inverted.is-outlined:hover, .button.is-info.is-inverted.is-outlined.is-hovered, .button.is-info.is-inverted.is-outlined:focus, .button.is-info.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #209cee; }
+      .button.is-info.is-inverted.is-outlined.is-loading:hover::after, .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-info.is-inverted.is-outlined.is-loading:focus::after, .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #209cee #209cee !important; }
+      .button.is-info.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-info.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-success {
+    background-color: #22c35b;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-success:hover, .button.is-success.is-hovered {
+      background-color: #20b856;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-success:focus, .button.is-success.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-success:focus:not(:active), .button.is-success.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); }
+    .button.is-success:active, .button.is-success.is-active {
+      background-color: #1ead51;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-success[disabled], fieldset[disabled] .button.is-success {
+      background-color: #22c35b;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-success.is-inverted {
+      background-color: #fff;
+      color: #22c35b; }
+      .button.is-success.is-inverted:hover, .button.is-success.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-success.is-inverted[disabled], fieldset[disabled] .button.is-success.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #22c35b; }
+    .button.is-success.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-success.is-outlined {
+      background-color: transparent;
+      border-color: #22c35b;
+      color: #22c35b; }
+      .button.is-success.is-outlined:hover, .button.is-success.is-outlined.is-hovered, .button.is-success.is-outlined:focus, .button.is-success.is-outlined.is-focused {
+        background-color: #22c35b;
+        border-color: #22c35b;
+        color: #fff; }
+      .button.is-success.is-outlined.is-loading::after {
+        border-color: transparent transparent #22c35b #22c35b !important; }
+      .button.is-success.is-outlined.is-loading:hover::after, .button.is-success.is-outlined.is-loading.is-hovered::after, .button.is-success.is-outlined.is-loading:focus::after, .button.is-success.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-success.is-outlined[disabled], fieldset[disabled] .button.is-success.is-outlined {
+        background-color: transparent;
+        border-color: #22c35b;
+        box-shadow: none;
+        color: #22c35b; }
+    .button.is-success.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-success.is-inverted.is-outlined:hover, .button.is-success.is-inverted.is-outlined.is-hovered, .button.is-success.is-inverted.is-outlined:focus, .button.is-success.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #22c35b; }
+      .button.is-success.is-inverted.is-outlined.is-loading:hover::after, .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-success.is-inverted.is-outlined.is-loading:focus::after, .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #22c35b #22c35b !important; }
+      .button.is-success.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-success.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-warning {
+    background-color: #ffdd57;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+    .button.is-warning:hover, .button.is-warning.is-hovered {
+      background-color: #ffda4a;
+      border-color: transparent;
+      color: rgba(0, 0, 0, 0.7); }
+    .button.is-warning:focus, .button.is-warning.is-focused {
+      border-color: transparent;
+      color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning:focus:not(:active), .button.is-warning.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); }
+    .button.is-warning:active, .button.is-warning.is-active {
+      background-color: #ffd83e;
+      border-color: transparent;
+      color: rgba(0, 0, 0, 0.7); }
+    .button.is-warning[disabled], fieldset[disabled] .button.is-warning {
+      background-color: #ffdd57;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-warning.is-inverted {
+      background-color: rgba(0, 0, 0, 0.7);
+      color: #ffdd57; }
+      .button.is-warning.is-inverted:hover, .button.is-warning.is-inverted.is-hovered {
+        background-color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning.is-inverted[disabled], fieldset[disabled] .button.is-warning.is-inverted {
+        background-color: rgba(0, 0, 0, 0.7);
+        border-color: transparent;
+        box-shadow: none;
+        color: #ffdd57; }
+    .button.is-warning.is-loading::after {
+      border-color: transparent transparent rgba(0, 0, 0, 0.7) rgba(0, 0, 0, 0.7) !important; }
+    .button.is-warning.is-outlined {
+      background-color: transparent;
+      border-color: #ffdd57;
+      color: #ffdd57; }
+      .button.is-warning.is-outlined:hover, .button.is-warning.is-outlined.is-hovered, .button.is-warning.is-outlined:focus, .button.is-warning.is-outlined.is-focused {
+        background-color: #ffdd57;
+        border-color: #ffdd57;
+        color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning.is-outlined.is-loading::after {
+        border-color: transparent transparent #ffdd57 #ffdd57 !important; }
+      .button.is-warning.is-outlined.is-loading:hover::after, .button.is-warning.is-outlined.is-loading.is-hovered::after, .button.is-warning.is-outlined.is-loading:focus::after, .button.is-warning.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent rgba(0, 0, 0, 0.7) rgba(0, 0, 0, 0.7) !important; }
+      .button.is-warning.is-outlined[disabled], fieldset[disabled] .button.is-warning.is-outlined {
+        background-color: transparent;
+        border-color: #ffdd57;
+        box-shadow: none;
+        color: #ffdd57; }
+    .button.is-warning.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: rgba(0, 0, 0, 0.7);
+      color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning.is-inverted.is-outlined:hover, .button.is-warning.is-inverted.is-outlined.is-hovered, .button.is-warning.is-inverted.is-outlined:focus, .button.is-warning.is-inverted.is-outlined.is-focused {
+        background-color: rgba(0, 0, 0, 0.7);
+        color: #ffdd57; }
+      .button.is-warning.is-inverted.is-outlined.is-loading:hover::after, .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-warning.is-inverted.is-outlined.is-loading:focus::after, .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #ffdd57 #ffdd57 !important; }
+      .button.is-warning.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-warning.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: rgba(0, 0, 0, 0.7);
+        box-shadow: none;
+        color: rgba(0, 0, 0, 0.7); }
+  .button.is-danger {
+    background-color: #da0b00;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-danger:hover, .button.is-danger.is-hovered {
+      background-color: #cd0a00;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-danger:focus, .button.is-danger.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-danger:focus:not(:active), .button.is-danger.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); }
+    .button.is-danger:active, .button.is-danger.is-active {
+      background-color: #c10a00;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-danger[disabled], fieldset[disabled] .button.is-danger {
+      background-color: #da0b00;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-danger.is-inverted {
+      background-color: #fff;
+      color: #da0b00; }
+      .button.is-danger.is-inverted:hover, .button.is-danger.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-danger.is-inverted[disabled], fieldset[disabled] .button.is-danger.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #da0b00; }
+    .button.is-danger.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-danger.is-outlined {
+      background-color: transparent;
+      border-color: #da0b00;
+      color: #da0b00; }
+      .button.is-danger.is-outlined:hover, .button.is-danger.is-outlined.is-hovered, .button.is-danger.is-outlined:focus, .button.is-danger.is-outlined.is-focused {
+        background-color: #da0b00;
+        border-color: #da0b00;
+        color: #fff; }
+      .button.is-danger.is-outlined.is-loading::after {
+        border-color: transparent transparent #da0b00 #da0b00 !important; }
+      .button.is-danger.is-outlined.is-loading:hover::after, .button.is-danger.is-outlined.is-loading.is-hovered::after, .button.is-danger.is-outlined.is-loading:focus::after, .button.is-danger.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-danger.is-outlined[disabled], fieldset[disabled] .button.is-danger.is-outlined {
+        background-color: transparent;
+        border-color: #da0b00;
+        box-shadow: none;
+        color: #da0b00; }
+    .button.is-danger.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-danger.is-inverted.is-outlined:hover, .button.is-danger.is-inverted.is-outlined.is-hovered, .button.is-danger.is-inverted.is-outlined:focus, .button.is-danger.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #da0b00; }
+      .button.is-danger.is-inverted.is-outlined.is-loading:hover::after, .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-danger.is-inverted.is-outlined.is-loading:focus::after, .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #da0b00 #da0b00 !important; }
+      .button.is-danger.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-danger.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-small, #documenter .docs-sidebar form.docs-search > input.button {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .button.is-normal {
+    font-size: 1rem; }
+  .button.is-medium {
+    font-size: 1.25rem; }
+  .button.is-large {
+    font-size: 1.5rem; }
+  .button[disabled], fieldset[disabled] .button {
+    background-color: white;
+    border-color: #dbdbdb;
+    box-shadow: none;
+    opacity: 0.5; }
+  .button.is-fullwidth {
+    display: flex;
+    width: 100%; }
+  .button.is-loading {
+    color: transparent !important;
+    pointer-events: none; }
+    .button.is-loading::after {
+      position: absolute;
+      left: calc(50% - (1em / 2));
+      top: calc(50% - (1em / 2));
+      position: absolute !important; }
+  .button.is-static {
+    background-color: whitesmoke;
+    border-color: #dbdbdb;
+    color: #6b6b6b;
+    box-shadow: none;
+    pointer-events: none; }
+  .button.is-rounded, #documenter .docs-sidebar form.docs-search > input.button {
+    border-radius: 290486px;
+    padding-left: 1em;
+    padding-right: 1em; }
+
+.buttons {
+  align-items: center;
+  display: flex;
+  flex-wrap: wrap;
+  justify-content: flex-start; }
+  .buttons .button {
+    margin-bottom: 0.5rem; }
+    .buttons .button:not(:last-child):not(.is-fullwidth) {
+      margin-right: 0.5rem; }
+  .buttons:last-child {
+    margin-bottom: -0.5rem; }
+  .buttons:not(:last-child) {
+    margin-bottom: 1rem; }
+  .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large) {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large) {
+    font-size: 1.25rem; }
+  .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium) {
+    font-size: 1.5rem; }
+  .buttons.has-addons .button:not(:first-child) {
+    border-bottom-left-radius: 0;
+    border-top-left-radius: 0; }
+  .buttons.has-addons .button:not(:last-child) {
+    border-bottom-right-radius: 0;
+    border-top-right-radius: 0;
+    margin-right: -1px; }
+  .buttons.has-addons .button:last-child {
+    margin-right: 0; }
+  .buttons.has-addons .button:hover, .buttons.has-addons .button.is-hovered {
+    z-index: 2; }
+  .buttons.has-addons .button:focus, .buttons.has-addons .button.is-focused, .buttons.has-addons .button:active, .buttons.has-addons .button.is-active, .buttons.has-addons .button.is-selected {
+    z-index: 3; }
+    .buttons.has-addons .button:focus:hover, .buttons.has-addons .button.is-focused:hover, .buttons.has-addons .button:active:hover, .buttons.has-addons .button.is-active:hover, .buttons.has-addons .button.is-selected:hover {
+      z-index: 4; }
+  .buttons.has-addons .button.is-expanded {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .buttons.is-centered {
+    justify-content: center; }
+    .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth) {
+      margin-left: 0.25rem;
+      margin-right: 0.25rem; }
+  .buttons.is-right {
+    justify-content: flex-end; }
+    .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth) {
+      margin-left: 0.25rem;
+      margin-right: 0.25rem; }
+
+.container {
+  flex-grow: 1;
+  margin: 0 auto;
+  position: relative;
+  width: auto; }
+  @media screen and (min-width: 1056px) {
+    .container {
+      max-width: 992px; }
+      .container.is-fluid {
+        margin-left: 32px;
+        margin-right: 32px;
+        max-width: none; } }
+  @media screen and (max-width: 1215px) {
+    .container.is-widescreen {
+      max-width: 1152px; } }
+  @media screen and (max-width: 1407px) {
+    .container.is-fullhd {
+      max-width: 1344px; } }
+  @media screen and (min-width: 1216px) {
+    .container {
+      max-width: 1152px; } }
+  @media screen and (min-width: 1408px) {
+    .container {
+      max-width: 1344px; } }
+.content li + li {
+  margin-top: 0.25em; }
+
+.content p:not(:last-child),
+.content dl:not(:last-child),
+.content ol:not(:last-child),
+.content ul:not(:last-child),
+.content blockquote:not(:last-child),
+.content pre:not(:last-child),
+.content table:not(:last-child) {
+  margin-bottom: 1em; }
+
+.content h1,
+.content h2,
+.content h3,
+.content h4,
+.content h5,
+.content h6 {
+  color: #222222;
+  font-weight: 600;
+  line-height: 1.125; }
+
+.content h1 {
+  font-size: 2em;
+  margin-bottom: 0.5em; }
+  .content h1:not(:first-child) {
+    margin-top: 1em; }
+
+.content h2 {
+  font-size: 1.75em;
+  margin-bottom: 0.5714em; }
+  .content h2:not(:first-child) {
+    margin-top: 1.1428em; }
+
+.content h3 {
+  font-size: 1.5em;
+  margin-bottom: 0.6666em; }
+  .content h3:not(:first-child) {
+    margin-top: 1.3333em; }
+
+.content h4 {
+  font-size: 1.25em;
+  margin-bottom: 0.8em; }
+
+.content h5 {
+  font-size: 1.125em;
+  margin-bottom: 0.8888em; }
+
+.content h6 {
+  font-size: 1em;
+  margin-bottom: 1em; }
+
+.content blockquote {
+  background-color: whitesmoke;
+  border-left: 5px solid #dbdbdb;
+  padding: 1.25em 1.5em; }
+
+.content ol {
+  list-style-position: outside;
+  margin-left: 2em;
+  margin-top: 1em; }
+  .content ol:not([type]) {
+    list-style-type: decimal; }
+    .content ol.is-lower-alpha:not([type]) {
+      list-style-type: lower-alpha; }
+    .content ol.is-lower-roman:not([type]) {
+      list-style-type: lower-roman; }
+    .content ol.is-upper-alpha:not([type]) {
+      list-style-type: upper-alpha; }
+    .content ol.is-upper-roman:not([type]) {
+      list-style-type: upper-roman; }
+
+.content ul {
+  list-style: disc outside;
+  margin-left: 2em;
+  margin-top: 1em; }
+  .content ul ul {
+    list-style-type: circle;
+    margin-top: 0.5em; }
+    .content ul ul ul {
+      list-style-type: square; }
+
+.content dd {
+  margin-left: 2em; }
+
+.content figure {
+  margin-left: 2em;
+  margin-right: 2em;
+  text-align: center; }
+  .content figure:not(:first-child) {
+    margin-top: 2em; }
+  .content figure:not(:last-child) {
+    margin-bottom: 2em; }
+  .content figure img {
+    display: inline-block; }
+  .content figure figcaption {
+    font-style: italic; }
+
+.content pre {
+  -webkit-overflow-scrolling: touch;
+  overflow-x: auto;
+  padding: 0;
+  white-space: pre;
+  word-wrap: normal; }
+
+.content sup,
+.content sub {
+  font-size: 75%; }
+
+.content table {
+  width: 100%; }
+  .content table td,
+  .content table th {
+    border: 1px solid #dbdbdb;
+    border-width: 0 0 1px;
+    padding: 0.5em 0.75em;
+    vertical-align: top; }
+  .content table th {
+    color: #222222; }
+    .content table th:not([align]) {
+      text-align: left; }
+  .content table thead td,
+  .content table thead th {
+    border-width: 0 0 2px;
+    color: #222222; }
+  .content table tfoot td,
+  .content table tfoot th {
+    border-width: 2px 0 0;
+    color: #222222; }
+  .content table tbody tr:last-child td,
+  .content table tbody tr:last-child th {
+    border-bottom-width: 0; }
+
+.content .tabs li + li {
+  margin-top: 0; }
+
+.content.is-small, #documenter .docs-sidebar form.docs-search > input.content {
+  font-size: 0.75rem; }
+
+.content.is-medium {
+  font-size: 1.25rem; }
+
+.content.is-large {
+  font-size: 1.5rem; }
+
+.icon {
+  align-items: center;
+  display: inline-flex;
+  justify-content: center;
+  height: 1.5rem;
+  width: 1.5rem; }
+  .icon.is-small, #documenter .docs-sidebar form.docs-search > input.icon {
+    height: 1rem;
+    width: 1rem; }
+  .icon.is-medium {
+    height: 2rem;
+    width: 2rem; }
+  .icon.is-large {
+    height: 3rem;
+    width: 3rem; }
+
+.image, #documenter .docs-sidebar .docs-logo > img {
+  display: block;
+  position: relative; }
+  .image img, #documenter .docs-sidebar .docs-logo > img img {
+    display: block;
+    height: auto;
+    width: 100%; }
+    .image img.is-rounded, #documenter .docs-sidebar .docs-logo > img img.is-rounded {
+      border-radius: 290486px; }
+  .image.is-square img, #documenter .docs-sidebar .docs-logo > img.is-square img,
+  .image.is-square .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, .image.is-1by1 img, #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+  .image.is-1by1 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, .image.is-5by4 img, #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+  .image.is-5by4 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, .image.is-4by3 img, #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+  .image.is-4by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, .image.is-3by2 img, #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+  .image.is-3by2 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, .image.is-5by3 img, #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+  .image.is-5by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, .image.is-16by9 img, #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+  .image.is-16by9 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, .image.is-2by1 img, #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+  .image.is-2by1 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, .image.is-3by1 img, #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+  .image.is-3by1 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, .image.is-4by5 img, #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+  .image.is-4by5 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, .image.is-3by4 img, #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+  .image.is-3by4 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, .image.is-2by3 img, #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+  .image.is-2by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, .image.is-3by5 img, #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+  .image.is-3by5 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, .image.is-9by16 img, #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+  .image.is-9by16 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, .image.is-1by2 img, #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+  .image.is-1by2 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, .image.is-1by3 img, #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+  .image.is-1by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio {
+    height: 100%;
+    width: 100%; }
+  .image.is-square, #documenter .docs-sidebar .docs-logo > img.is-square, .image.is-1by1, #documenter .docs-sidebar .docs-logo > img.is-1by1 {
+    padding-top: 100%; }
+  .image.is-5by4, #documenter .docs-sidebar .docs-logo > img.is-5by4 {
+    padding-top: 80%; }
+  .image.is-4by3, #documenter .docs-sidebar .docs-logo > img.is-4by3 {
+    padding-top: 75%; }
+  .image.is-3by2, #documenter .docs-sidebar .docs-logo > img.is-3by2 {
+    padding-top: 66.6666%; }
+  .image.is-5by3, #documenter .docs-sidebar .docs-logo > img.is-5by3 {
+    padding-top: 60%; }
+  .image.is-16by9, #documenter .docs-sidebar .docs-logo > img.is-16by9 {
+    padding-top: 56.25%; }
+  .image.is-2by1, #documenter .docs-sidebar .docs-logo > img.is-2by1 {
+    padding-top: 50%; }
+  .image.is-3by1, #documenter .docs-sidebar .docs-logo > img.is-3by1 {
+    padding-top: 33.3333%; }
+  .image.is-4by5, #documenter .docs-sidebar .docs-logo > img.is-4by5 {
+    padding-top: 125%; }
+  .image.is-3by4, #documenter .docs-sidebar .docs-logo > img.is-3by4 {
+    padding-top: 133.3333%; }
+  .image.is-2by3, #documenter .docs-sidebar .docs-logo > img.is-2by3 {
+    padding-top: 150%; }
+  .image.is-3by5, #documenter .docs-sidebar .docs-logo > img.is-3by5 {
+    padding-top: 166.6666%; }
+  .image.is-9by16, #documenter .docs-sidebar .docs-logo > img.is-9by16 {
+    padding-top: 177.7777%; }
+  .image.is-1by2, #documenter .docs-sidebar .docs-logo > img.is-1by2 {
+    padding-top: 200%; }
+  .image.is-1by3, #documenter .docs-sidebar .docs-logo > img.is-1by3 {
+    padding-top: 300%; }
+  .image.is-16x16, #documenter .docs-sidebar .docs-logo > img.is-16x16 {
+    height: 16px;
+    width: 16px; }
+  .image.is-24x24, #documenter .docs-sidebar .docs-logo > img.is-24x24 {
+    height: 24px;
+    width: 24px; }
+  .image.is-32x32, #documenter .docs-sidebar .docs-logo > img.is-32x32 {
+    height: 32px;
+    width: 32px; }
+  .image.is-48x48, #documenter .docs-sidebar .docs-logo > img.is-48x48 {
+    height: 48px;
+    width: 48px; }
+  .image.is-64x64, #documenter .docs-sidebar .docs-logo > img.is-64x64 {
+    height: 64px;
+    width: 64px; }
+  .image.is-96x96, #documenter .docs-sidebar .docs-logo > img.is-96x96 {
+    height: 96px;
+    width: 96px; }
+  .image.is-128x128, #documenter .docs-sidebar .docs-logo > img.is-128x128 {
+    height: 128px;
+    width: 128px; }
+
+.notification {
+  background-color: whitesmoke;
+  border-radius: 4px;
+  padding: 1.25rem 2.5rem 1.25rem 1.5rem;
+  position: relative; }
+  .notification a:not(.button):not(.dropdown-item) {
+    color: currentColor;
+    text-decoration: underline; }
+  .notification strong {
+    color: currentColor; }
+  .notification code,
+  .notification pre {
+    background: white; }
+  .notification pre code {
+    background: transparent; }
+  .notification > .delete {
+    position: absolute;
+    right: 0.5rem;
+    top: 0.5rem; }
+  .notification .title,
+  .notification .subtitle,
+  .notification .content {
+    color: currentColor; }
+  .notification.is-white {
+    background-color: white;
+    color: #0a0a0a; }
+  .notification.is-black {
+    background-color: #0a0a0a;
+    color: white; }
+  .notification.is-light {
+    background-color: whitesmoke;
+    color: #363636; }
+  .notification.is-dark, .content kbd.notification {
+    background-color: #363636;
+    color: whitesmoke; }
+  .notification.is-primary, .docstring > section > a.notification.docs-sourcelink {
+    background-color: #4eb5de;
+    color: #fff; }
+  .notification.is-link {
+    background-color: #2e63b8;
+    color: #fff; }
+  .notification.is-info {
+    background-color: #209cee;
+    color: #fff; }
+  .notification.is-success {
+    background-color: #22c35b;
+    color: #fff; }
+  .notification.is-warning {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+  .notification.is-danger {
+    background-color: #da0b00;
+    color: #fff; }
+
+.progress {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  border: none;
+  border-radius: 290486px;
+  display: block;
+  height: 1rem;
+  overflow: hidden;
+  padding: 0;
+  width: 100%; }
+  .progress::-webkit-progress-bar {
+    background-color: #dbdbdb; }
+  .progress::-webkit-progress-value {
+    background-color: #222222; }
+  .progress::-moz-progress-bar {
+    background-color: #222222; }
+  .progress::-ms-fill {
+    background-color: #222222;
+    border: none; }
+  .progress.is-white::-webkit-progress-value {
+    background-color: white; }
+  .progress.is-white::-moz-progress-bar {
+    background-color: white; }
+  .progress.is-white::-ms-fill {
+    background-color: white; }
+  .progress.is-white:indeterminate {
+    background-image: linear-gradient(to right, white 30%, #dbdbdb 30%); }
+  .progress.is-black::-webkit-progress-value {
+    background-color: #0a0a0a; }
+  .progress.is-black::-moz-progress-bar {
+    background-color: #0a0a0a; }
+  .progress.is-black::-ms-fill {
+    background-color: #0a0a0a; }
+  .progress.is-black:indeterminate {
+    background-image: linear-gradient(to right, #0a0a0a 30%, #dbdbdb 30%); }
+  .progress.is-light::-webkit-progress-value {
+    background-color: whitesmoke; }
+  .progress.is-light::-moz-progress-bar {
+    background-color: whitesmoke; }
+  .progress.is-light::-ms-fill {
+    background-color: whitesmoke; }
+  .progress.is-light:indeterminate {
+    background-image: linear-gradient(to right, whitesmoke 30%, #dbdbdb 30%); }
+  .progress.is-dark::-webkit-progress-value, .content kbd.progress::-webkit-progress-value {
+    background-color: #363636; }
+  .progress.is-dark::-moz-progress-bar, .content kbd.progress::-moz-progress-bar {
+    background-color: #363636; }
+  .progress.is-dark::-ms-fill, .content kbd.progress::-ms-fill {
+    background-color: #363636; }
+  .progress.is-dark:indeterminate, .content kbd.progress:indeterminate {
+    background-image: linear-gradient(to right, #363636 30%, #dbdbdb 30%); }
+  .progress.is-primary::-webkit-progress-value, .docstring > section > a.progress.docs-sourcelink::-webkit-progress-value {
+    background-color: #4eb5de; }
+  .progress.is-primary::-moz-progress-bar, .docstring > section > a.progress.docs-sourcelink::-moz-progress-bar {
+    background-color: #4eb5de; }
+  .progress.is-primary::-ms-fill, .docstring > section > a.progress.docs-sourcelink::-ms-fill {
+    background-color: #4eb5de; }
+  .progress.is-primary:indeterminate, .docstring > section > a.progress.docs-sourcelink:indeterminate {
+    background-image: linear-gradient(to right, #4eb5de 30%, #dbdbdb 30%); }
+  .progress.is-link::-webkit-progress-value {
+    background-color: #2e63b8; }
+  .progress.is-link::-moz-progress-bar {
+    background-color: #2e63b8; }
+  .progress.is-link::-ms-fill {
+    background-color: #2e63b8; }
+  .progress.is-link:indeterminate {
+    background-image: linear-gradient(to right, #2e63b8 30%, #dbdbdb 30%); }
+  .progress.is-info::-webkit-progress-value {
+    background-color: #209cee; }
+  .progress.is-info::-moz-progress-bar {
+    background-color: #209cee; }
+  .progress.is-info::-ms-fill {
+    background-color: #209cee; }
+  .progress.is-info:indeterminate {
+    background-image: linear-gradient(to right, #209cee 30%, #dbdbdb 30%); }
+  .progress.is-success::-webkit-progress-value {
+    background-color: #22c35b; }
+  .progress.is-success::-moz-progress-bar {
+    background-color: #22c35b; }
+  .progress.is-success::-ms-fill {
+    background-color: #22c35b; }
+  .progress.is-success:indeterminate {
+    background-image: linear-gradient(to right, #22c35b 30%, #dbdbdb 30%); }
+  .progress.is-warning::-webkit-progress-value {
+    background-color: #ffdd57; }
+  .progress.is-warning::-moz-progress-bar {
+    background-color: #ffdd57; }
+  .progress.is-warning::-ms-fill {
+    background-color: #ffdd57; }
+  .progress.is-warning:indeterminate {
+    background-image: linear-gradient(to right, #ffdd57 30%, #dbdbdb 30%); }
+  .progress.is-danger::-webkit-progress-value {
+    background-color: #da0b00; }
+  .progress.is-danger::-moz-progress-bar {
+    background-color: #da0b00; }
+  .progress.is-danger::-ms-fill {
+    background-color: #da0b00; }
+  .progress.is-danger:indeterminate {
+    background-image: linear-gradient(to right, #da0b00 30%, #dbdbdb 30%); }
+  .progress:indeterminate {
+    animation-duration: 1.5s;
+    animation-iteration-count: infinite;
+    animation-name: moveIndeterminate;
+    animation-timing-function: linear;
+    background-color: #dbdbdb;
+    background-image: linear-gradient(to right, #222222 30%, #dbdbdb 30%);
+    background-position: top left;
+    background-repeat: no-repeat;
+    background-size: 150% 150%; }
+    .progress:indeterminate::-webkit-progress-bar {
+      background-color: transparent; }
+    .progress:indeterminate::-moz-progress-bar {
+      background-color: transparent; }
+  .progress.is-small, #documenter .docs-sidebar form.docs-search > input.progress {
+    height: 0.75rem; }
+  .progress.is-medium {
+    height: 1.25rem; }
+  .progress.is-large {
+    height: 1.5rem; }
+
+@keyframes moveIndeterminate {
+  from {
+    background-position: 200% 0; }
+  to {
+    background-position: -200% 0; } }
+
+.table {
+  background-color: white;
+  color: #363636; }
+  .table td,
+  .table th {
+    border: 1px solid #dbdbdb;
+    border-width: 0 0 1px;
+    padding: 0.5em 0.75em;
+    vertical-align: top; }
+    .table td.is-white,
+    .table th.is-white {
+      background-color: white;
+      border-color: white;
+      color: #0a0a0a; }
+    .table td.is-black,
+    .table th.is-black {
+      background-color: #0a0a0a;
+      border-color: #0a0a0a;
+      color: white; }
+    .table td.is-light,
+    .table th.is-light {
+      background-color: whitesmoke;
+      border-color: whitesmoke;
+      color: #363636; }
+    .table td.is-dark,
+    .table th.is-dark {
+      background-color: #363636;
+      border-color: #363636;
+      color: whitesmoke; }
+    .table td.is-primary,
+    .table th.is-primary {
+      background-color: #4eb5de;
+      border-color: #4eb5de;
+      color: #fff; }
+    .table td.is-link,
+    .table th.is-link {
+      background-color: #2e63b8;
+      border-color: #2e63b8;
+      color: #fff; }
+    .table td.is-info,
+    .table th.is-info {
+      background-color: #209cee;
+      border-color: #209cee;
+      color: #fff; }
+    .table td.is-success,
+    .table th.is-success {
+      background-color: #22c35b;
+      border-color: #22c35b;
+      color: #fff; }
+    .table td.is-warning,
+    .table th.is-warning {
+      background-color: #ffdd57;
+      border-color: #ffdd57;
+      color: rgba(0, 0, 0, 0.7); }
+    .table td.is-danger,
+    .table th.is-danger {
+      background-color: #da0b00;
+      border-color: #da0b00;
+      color: #fff; }
+    .table td.is-narrow,
+    .table th.is-narrow {
+      white-space: nowrap;
+      width: 1%; }
+    .table td.is-selected,
+    .table th.is-selected {
+      background-color: #4eb5de;
+      color: #fff; }
+      .table td.is-selected a,
+      .table td.is-selected strong,
+      .table th.is-selected a,
+      .table th.is-selected strong {
+        color: currentColor; }
+  .table th {
+    color: #222222; }
+    .table th:not([align]) {
+      text-align: left; }
+  .table tr.is-selected {
+    background-color: #4eb5de;
+    color: #fff; }
+    .table tr.is-selected a,
+    .table tr.is-selected strong {
+      color: currentColor; }
+    .table tr.is-selected td,
+    .table tr.is-selected th {
+      border-color: #fff;
+      color: currentColor; }
+  .table thead {
+    background-color: transparent; }
+    .table thead td,
+    .table thead th {
+      border-width: 0 0 2px;
+      color: #222222; }
+  .table tfoot {
+    background-color: transparent; }
+    .table tfoot td,
+    .table tfoot th {
+      border-width: 2px 0 0;
+      color: #222222; }
+  .table tbody {
+    background-color: transparent; }
+    .table tbody tr:last-child td,
+    .table tbody tr:last-child th {
+      border-bottom-width: 0; }
+  .table.is-bordered td,
+  .table.is-bordered th {
+    border-width: 1px; }
+  .table.is-bordered tr:last-child td,
+  .table.is-bordered tr:last-child th {
+    border-bottom-width: 1px; }
+  .table.is-fullwidth {
+    width: 100%; }
+  .table.is-hoverable tbody tr:not(.is-selected):hover {
+    background-color: #fafafa; }
+  .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover {
+    background-color: #fafafa; }
+    .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover:nth-child(even) {
+      background-color: whitesmoke; }
+  .table.is-narrow td,
+  .table.is-narrow th {
+    padding: 0.25em 0.5em; }
+  .table.is-striped tbody tr:not(.is-selected):nth-child(even) {
+    background-color: #fafafa; }
+
+.table-container {
+  -webkit-overflow-scrolling: touch;
+  overflow: auto;
+  overflow-y: hidden;
+  max-width: 100%; }
+
+.tags {
+  align-items: center;
+  display: flex;
+  flex-wrap: wrap;
+  justify-content: flex-start; }
+  .tags .tag, .tags .content kbd, .content .tags kbd, .tags .docstring > section > a.docs-sourcelink {
+    margin-bottom: 0.5rem; }
+    .tags .tag:not(:last-child), .tags .content kbd:not(:last-child), .content .tags kbd:not(:last-child), .tags .docstring > section > a.docs-sourcelink:not(:last-child) {
+      margin-right: 0.5rem; }
+  .tags:last-child {
+    margin-bottom: -0.5rem; }
+  .tags:not(:last-child) {
+    margin-bottom: 1rem; }
+  .tags.are-medium .tag:not(.is-normal):not(.is-large), .tags.are-medium .content kbd:not(.is-normal):not(.is-large), .content .tags.are-medium kbd:not(.is-normal):not(.is-large), .tags.are-medium .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-large) {
+    font-size: 1rem; }
+  .tags.are-large .tag:not(.is-normal):not(.is-medium), .tags.are-large .content kbd:not(.is-normal):not(.is-medium), .content .tags.are-large kbd:not(.is-normal):not(.is-medium), .tags.are-large .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-medium) {
+    font-size: 1.25rem; }
+  .tags.is-centered {
+    justify-content: center; }
+    .tags.is-centered .tag, .tags.is-centered .content kbd, .content .tags.is-centered kbd, .tags.is-centered .docstring > section > a.docs-sourcelink {
+      margin-right: 0.25rem;
+      margin-left: 0.25rem; }
+  .tags.is-right {
+    justify-content: flex-end; }
+    .tags.is-right .tag:not(:first-child), .tags.is-right .content kbd:not(:first-child), .content .tags.is-right kbd:not(:first-child), .tags.is-right .docstring > section > a.docs-sourcelink:not(:first-child) {
+      margin-left: 0.5rem; }
+    .tags.is-right .tag:not(:last-child), .tags.is-right .content kbd:not(:last-child), .content .tags.is-right kbd:not(:last-child), .tags.is-right .docstring > section > a.docs-sourcelink:not(:last-child) {
+      margin-right: 0; }
+  .tags.has-addons .tag, .tags.has-addons .content kbd, .content .tags.has-addons kbd, .tags.has-addons .docstring > section > a.docs-sourcelink {
+    margin-right: 0; }
+    .tags.has-addons .tag:not(:first-child), .tags.has-addons .content kbd:not(:first-child), .content .tags.has-addons kbd:not(:first-child), .tags.has-addons .docstring > section > a.docs-sourcelink:not(:first-child) {
+      margin-left: 0;
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    .tags.has-addons .tag:not(:last-child), .tags.has-addons .content kbd:not(:last-child), .content .tags.has-addons kbd:not(:last-child), .tags.has-addons .docstring > section > a.docs-sourcelink:not(:last-child) {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0; }
+
+.tag:not(body), .content kbd:not(body), .docstring > section > a.docs-sourcelink:not(body) {
+  align-items: center;
+  background-color: whitesmoke;
+  border-radius: 4px;
+  color: #222222;
+  display: inline-flex;
+  font-size: 0.75rem;
+  height: 2em;
+  justify-content: center;
+  line-height: 1.5;
+  padding-left: 0.75em;
+  padding-right: 0.75em;
+  white-space: nowrap; }
+  .tag:not(body) .delete, .content kbd:not(body) .delete, .docstring > section > a.docs-sourcelink:not(body) .delete {
+    margin-left: 0.25rem;
+    margin-right: -0.375rem; }
+  .tag.is-white:not(body), .content kbd.is-white:not(body), .docstring > section > a.docs-sourcelink.is-white:not(body) {
+    background-color: white;
+    color: #0a0a0a; }
+  .tag.is-black:not(body), .content kbd.is-black:not(body), .docstring > section > a.docs-sourcelink.is-black:not(body) {
+    background-color: #0a0a0a;
+    color: white; }
+  .tag.is-light:not(body), .content kbd.is-light:not(body), .docstring > section > a.docs-sourcelink.is-light:not(body) {
+    background-color: whitesmoke;
+    color: #363636; }
+  .tag.is-dark:not(body), .content kbd:not(body), .docstring > section > a.docs-sourcelink.is-dark:not(body), .content .docstring > section > kbd:not(body) {
+    background-color: #363636;
+    color: whitesmoke; }
+  .tag.is-primary:not(body), .content kbd.is-primary:not(body), .docstring > section > a.docs-sourcelink:not(body) {
+    background-color: #4eb5de;
+    color: #fff; }
+  .tag.is-link:not(body), .content kbd.is-link:not(body), .docstring > section > a.docs-sourcelink.is-link:not(body) {
+    background-color: #2e63b8;
+    color: #fff; }
+  .tag.is-info:not(body), .content kbd.is-info:not(body), .docstring > section > a.docs-sourcelink.is-info:not(body) {
+    background-color: #209cee;
+    color: #fff; }
+  .tag.is-success:not(body), .content kbd.is-success:not(body), .docstring > section > a.docs-sourcelink.is-success:not(body) {
+    background-color: #22c35b;
+    color: #fff; }
+  .tag.is-warning:not(body), .content kbd.is-warning:not(body), .docstring > section > a.docs-sourcelink.is-warning:not(body) {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+  .tag.is-danger:not(body), .content kbd.is-danger:not(body), .docstring > section > a.docs-sourcelink.is-danger:not(body) {
+    background-color: #da0b00;
+    color: #fff; }
+  .tag.is-normal:not(body), .content kbd.is-normal:not(body), .docstring > section > a.docs-sourcelink.is-normal:not(body) {
+    font-size: 0.75rem; }
+  .tag.is-medium:not(body), .content kbd.is-medium:not(body), .docstring > section > a.docs-sourcelink.is-medium:not(body) {
+    font-size: 1rem; }
+  .tag.is-large:not(body), .content kbd.is-large:not(body), .docstring > section > a.docs-sourcelink.is-large:not(body) {
+    font-size: 1.25rem; }
+  .tag:not(body) .icon:first-child:not(:last-child), .content kbd:not(body) .icon:first-child:not(:last-child), .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:not(:last-child) {
+    margin-left: -0.375em;
+    margin-right: 0.1875em; }
+  .tag:not(body) .icon:last-child:not(:first-child), .content kbd:not(body) .icon:last-child:not(:first-child), .docstring > section > a.docs-sourcelink:not(body) .icon:last-child:not(:first-child) {
+    margin-left: 0.1875em;
+    margin-right: -0.375em; }
+  .tag:not(body) .icon:first-child:last-child, .content kbd:not(body) .icon:first-child:last-child, .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:last-child {
+    margin-left: -0.375em;
+    margin-right: -0.375em; }
+  .tag.is-delete:not(body), .content kbd.is-delete:not(body), .docstring > section > a.docs-sourcelink.is-delete:not(body) {
+    margin-left: 1px;
+    padding: 0;
+    position: relative;
+    width: 2em; }
+    .tag.is-delete:not(body)::before, .content kbd.is-delete:not(body)::before, .docstring > section > a.docs-sourcelink.is-delete:not(body)::before, .tag.is-delete:not(body)::after, .content kbd.is-delete:not(body)::after, .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+      background-color: currentColor;
+      content: "";
+      display: block;
+      left: 50%;
+      position: absolute;
+      top: 50%;
+      transform: translateX(-50%) translateY(-50%) rotate(45deg);
+      transform-origin: center center; }
+    .tag.is-delete:not(body)::before, .content kbd.is-delete:not(body)::before, .docstring > section > a.docs-sourcelink.is-delete:not(body)::before {
+      height: 1px;
+      width: 50%; }
+    .tag.is-delete:not(body)::after, .content kbd.is-delete:not(body)::after, .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+      height: 50%;
+      width: 1px; }
+    .tag.is-delete:not(body):hover, .content kbd.is-delete:not(body):hover, .docstring > section > a.docs-sourcelink.is-delete:not(body):hover, .tag.is-delete:not(body):focus, .content kbd.is-delete:not(body):focus, .docstring > section > a.docs-sourcelink.is-delete:not(body):focus {
+      background-color: #e8e8e8; }
+    .tag.is-delete:not(body):active, .content kbd.is-delete:not(body):active, .docstring > section > a.docs-sourcelink.is-delete:not(body):active {
+      background-color: #dbdbdb; }
+  .tag.is-rounded:not(body), #documenter .docs-sidebar form.docs-search > input:not(body), .content kbd.is-rounded:not(body), #documenter .docs-sidebar .content form.docs-search > input:not(body), .docstring > section > a.docs-sourcelink.is-rounded:not(body) {
+    border-radius: 290486px; }
+
+a.tag:hover, .docstring > section > a.docs-sourcelink:hover {
+  text-decoration: underline; }
+
+.title,
+.subtitle {
+  word-break: break-word; }
+  .title em,
+  .title span,
+  .subtitle em,
+  .subtitle span {
+    font-weight: inherit; }
+  .title sub,
+  .subtitle sub {
+    font-size: 0.75em; }
+  .title sup,
+  .subtitle sup {
+    font-size: 0.75em; }
+  .title .tag, .title .content kbd, .content .title kbd, .title .docstring > section > a.docs-sourcelink,
+  .subtitle .tag,
+  .subtitle .content kbd,
+  .content .subtitle kbd,
+  .subtitle .docstring > section > a.docs-sourcelink {
+    vertical-align: middle; }
+
+.title {
+  color: #363636;
+  font-size: 2rem;
+  font-weight: 600;
+  line-height: 1.125; }
+  .title strong {
+    color: inherit;
+    font-weight: inherit; }
+  .title + .highlight {
+    margin-top: -0.75rem; }
+  .title:not(.is-spaced) + .subtitle {
+    margin-top: -1.25rem; }
+  .title.is-1 {
+    font-size: 3rem; }
+  .title.is-2 {
+    font-size: 2.5rem; }
+  .title.is-3 {
+    font-size: 2rem; }
+  .title.is-4 {
+    font-size: 1.5rem; }
+  .title.is-5 {
+    font-size: 1.25rem; }
+  .title.is-6 {
+    font-size: 1rem; }
+  .title.is-7 {
+    font-size: 0.75rem; }
+
+.subtitle {
+  color: #4a4a4a;
+  font-size: 1.25rem;
+  font-weight: 400;
+  line-height: 1.25; }
+  .subtitle strong {
+    color: #363636;
+    font-weight: 600; }
+  .subtitle:not(.is-spaced) + .title {
+    margin-top: -1.25rem; }
+  .subtitle.is-1 {
+    font-size: 3rem; }
+  .subtitle.is-2 {
+    font-size: 2.5rem; }
+  .subtitle.is-3 {
+    font-size: 2rem; }
+  .subtitle.is-4 {
+    font-size: 1.5rem; }
+  .subtitle.is-5 {
+    font-size: 1.25rem; }
+  .subtitle.is-6 {
+    font-size: 1rem; }
+  .subtitle.is-7 {
+    font-size: 0.75rem; }
+
+.heading {
+  display: block;
+  font-size: 11px;
+  letter-spacing: 1px;
+  margin-bottom: 5px;
+  text-transform: uppercase; }
+
+.highlight {
+  font-weight: 400;
+  max-width: 100%;
+  overflow: hidden;
+  padding: 0; }
+  .highlight pre {
+    overflow: auto;
+    max-width: 100%; }
+
+.number {
+  align-items: center;
+  background-color: whitesmoke;
+  border-radius: 290486px;
+  display: inline-flex;
+  font-size: 1.25rem;
+  height: 2em;
+  justify-content: center;
+  margin-right: 1.5rem;
+  min-width: 2.5em;
+  padding: 0.25rem 0.5rem;
+  text-align: center;
+  vertical-align: top; }
+
+.select select, .textarea, .input, #documenter .docs-sidebar form.docs-search > input {
+  background-color: white;
+  border-color: #dbdbdb;
+  border-radius: 4px;
+  color: #363636; }
+  .select select::-moz-placeholder, .textarea::-moz-placeholder, .input::-moz-placeholder, #documenter .docs-sidebar form.docs-search > input::-moz-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select::-webkit-input-placeholder, .textarea::-webkit-input-placeholder, .input::-webkit-input-placeholder, #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select:-moz-placeholder, .textarea:-moz-placeholder, .input:-moz-placeholder, #documenter .docs-sidebar form.docs-search > input:-moz-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select:-ms-input-placeholder, .textarea:-ms-input-placeholder, .input:-ms-input-placeholder, #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select:hover, .textarea:hover, .input:hover, #documenter .docs-sidebar form.docs-search > input:hover, .select select.is-hovered, .is-hovered.textarea, .is-hovered.input, #documenter .docs-sidebar form.docs-search > input.is-hovered {
+    border-color: #b5b5b5; }
+  .select select:focus, .textarea:focus, .input:focus, #documenter .docs-sidebar form.docs-search > input:focus, .select select.is-focused, .is-focused.textarea, .is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .select select:active, .textarea:active, .input:active, #documenter .docs-sidebar form.docs-search > input:active, .select select.is-active, .is-active.textarea, .is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+    border-color: #2e63b8;
+    box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .select select[disabled], .textarea[disabled], .input[disabled], #documenter .docs-sidebar form.docs-search > input[disabled], fieldset[disabled] .select select, .select fieldset[disabled] select, fieldset[disabled] .textarea, fieldset[disabled] .input, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input {
+    background-color: whitesmoke;
+    border-color: whitesmoke;
+    box-shadow: none;
+    color: #6b6b6b; }
+    .select select[disabled]::-moz-placeholder, .textarea[disabled]::-moz-placeholder, .input[disabled]::-moz-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]::-moz-placeholder, fieldset[disabled] .select select::-moz-placeholder, .select fieldset[disabled] select::-moz-placeholder, fieldset[disabled] .textarea::-moz-placeholder, fieldset[disabled] .input::-moz-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input::-moz-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input::-moz-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+    .select select[disabled]::-webkit-input-placeholder, .textarea[disabled]::-webkit-input-placeholder, .input[disabled]::-webkit-input-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]::-webkit-input-placeholder, fieldset[disabled] .select select::-webkit-input-placeholder, .select fieldset[disabled] select::-webkit-input-placeholder, fieldset[disabled] .textarea::-webkit-input-placeholder, fieldset[disabled] .input::-webkit-input-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input::-webkit-input-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+    .select select[disabled]:-moz-placeholder, .textarea[disabled]:-moz-placeholder, .input[disabled]:-moz-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]:-moz-placeholder, fieldset[disabled] .select select:-moz-placeholder, .select fieldset[disabled] select:-moz-placeholder, fieldset[disabled] .textarea:-moz-placeholder, fieldset[disabled] .input:-moz-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input:-moz-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input:-moz-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+    .select select[disabled]:-ms-input-placeholder, .textarea[disabled]:-ms-input-placeholder, .input[disabled]:-ms-input-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]:-ms-input-placeholder, fieldset[disabled] .select select:-ms-input-placeholder, .select fieldset[disabled] select:-ms-input-placeholder, fieldset[disabled] .textarea:-ms-input-placeholder, fieldset[disabled] .input:-ms-input-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input:-ms-input-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+
+.textarea, .input, #documenter .docs-sidebar form.docs-search > input {
+  box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.1);
+  max-width: 100%;
+  width: 100%; }
+  .textarea[readonly], .input[readonly], #documenter .docs-sidebar form.docs-search > input[readonly] {
+    box-shadow: none; }
+  .is-white.textarea, .is-white.input, #documenter .docs-sidebar form.docs-search > input.is-white {
+    border-color: white; }
+    .is-white.textarea:focus, .is-white.input:focus, #documenter .docs-sidebar form.docs-search > input.is-white:focus, .is-white.is-focused.textarea, .is-white.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-white.textarea:active, .is-white.input:active, #documenter .docs-sidebar form.docs-search > input.is-white:active, .is-white.is-active.textarea, .is-white.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+  .is-black.textarea, .is-black.input, #documenter .docs-sidebar form.docs-search > input.is-black {
+    border-color: #0a0a0a; }
+    .is-black.textarea:focus, .is-black.input:focus, #documenter .docs-sidebar form.docs-search > input.is-black:focus, .is-black.is-focused.textarea, .is-black.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-black.textarea:active, .is-black.input:active, #documenter .docs-sidebar form.docs-search > input.is-black:active, .is-black.is-active.textarea, .is-black.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+  .is-light.textarea, .is-light.input, #documenter .docs-sidebar form.docs-search > input.is-light {
+    border-color: whitesmoke; }
+    .is-light.textarea:focus, .is-light.input:focus, #documenter .docs-sidebar form.docs-search > input.is-light:focus, .is-light.is-focused.textarea, .is-light.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-light.textarea:active, .is-light.input:active, #documenter .docs-sidebar form.docs-search > input.is-light:active, .is-light.is-active.textarea, .is-light.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); }
+  .is-dark.textarea, .content kbd.textarea, .is-dark.input, #documenter .docs-sidebar form.docs-search > input.is-dark, .content kbd.input {
+    border-color: #363636; }
+    .is-dark.textarea:focus, .content kbd.textarea:focus, .is-dark.input:focus, #documenter .docs-sidebar form.docs-search > input.is-dark:focus, .content kbd.input:focus, .is-dark.is-focused.textarea, .content kbd.is-focused.textarea, .is-dark.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .content kbd.is-focused.input, #documenter .docs-sidebar .content form.docs-search > input.is-focused, .is-dark.textarea:active, .content kbd.textarea:active, .is-dark.input:active, #documenter .docs-sidebar form.docs-search > input.is-dark:active, .content kbd.input:active, .is-dark.is-active.textarea, .content kbd.is-active.textarea, .is-dark.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .content kbd.is-active.input, #documenter .docs-sidebar .content form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); }
+  .is-primary.textarea, .docstring > section > a.textarea.docs-sourcelink, .is-primary.input, #documenter .docs-sidebar form.docs-search > input.is-primary, .docstring > section > a.input.docs-sourcelink {
+    border-color: #4eb5de; }
+    .is-primary.textarea:focus, .docstring > section > a.textarea.docs-sourcelink:focus, .is-primary.input:focus, #documenter .docs-sidebar form.docs-search > input.is-primary:focus, .docstring > section > a.input.docs-sourcelink:focus, .is-primary.is-focused.textarea, .docstring > section > a.is-focused.textarea.docs-sourcelink, .is-primary.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .docstring > section > a.is-focused.input.docs-sourcelink, .is-primary.textarea:active, .docstring > section > a.textarea.docs-sourcelink:active, .is-primary.input:active, #documenter .docs-sidebar form.docs-search > input.is-primary:active, .docstring > section > a.input.docs-sourcelink:active, .is-primary.is-active.textarea, .docstring > section > a.is-active.textarea.docs-sourcelink, .is-primary.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .docstring > section > a.is-active.input.docs-sourcelink {
+      box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); }
+  .is-link.textarea, .is-link.input, #documenter .docs-sidebar form.docs-search > input.is-link {
+    border-color: #2e63b8; }
+    .is-link.textarea:focus, .is-link.input:focus, #documenter .docs-sidebar form.docs-search > input.is-link:focus, .is-link.is-focused.textarea, .is-link.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-link.textarea:active, .is-link.input:active, #documenter .docs-sidebar form.docs-search > input.is-link:active, .is-link.is-active.textarea, .is-link.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .is-info.textarea, .is-info.input, #documenter .docs-sidebar form.docs-search > input.is-info {
+    border-color: #209cee; }
+    .is-info.textarea:focus, .is-info.input:focus, #documenter .docs-sidebar form.docs-search > input.is-info:focus, .is-info.is-focused.textarea, .is-info.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-info.textarea:active, .is-info.input:active, #documenter .docs-sidebar form.docs-search > input.is-info:active, .is-info.is-active.textarea, .is-info.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); }
+  .is-success.textarea, .is-success.input, #documenter .docs-sidebar form.docs-search > input.is-success {
+    border-color: #22c35b; }
+    .is-success.textarea:focus, .is-success.input:focus, #documenter .docs-sidebar form.docs-search > input.is-success:focus, .is-success.is-focused.textarea, .is-success.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-success.textarea:active, .is-success.input:active, #documenter .docs-sidebar form.docs-search > input.is-success:active, .is-success.is-active.textarea, .is-success.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); }
+  .is-warning.textarea, .is-warning.input, #documenter .docs-sidebar form.docs-search > input.is-warning {
+    border-color: #ffdd57; }
+    .is-warning.textarea:focus, .is-warning.input:focus, #documenter .docs-sidebar form.docs-search > input.is-warning:focus, .is-warning.is-focused.textarea, .is-warning.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-warning.textarea:active, .is-warning.input:active, #documenter .docs-sidebar form.docs-search > input.is-warning:active, .is-warning.is-active.textarea, .is-warning.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); }
+  .is-danger.textarea, .is-danger.input, #documenter .docs-sidebar form.docs-search > input.is-danger {
+    border-color: #da0b00; }
+    .is-danger.textarea:focus, .is-danger.input:focus, #documenter .docs-sidebar form.docs-search > input.is-danger:focus, .is-danger.is-focused.textarea, .is-danger.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-danger.textarea:active, .is-danger.input:active, #documenter .docs-sidebar form.docs-search > input.is-danger:active, .is-danger.is-active.textarea, .is-danger.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); }
+  .is-small.textarea, .is-small.input, #documenter .docs-sidebar form.docs-search > input {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .is-medium.textarea, .is-medium.input, #documenter .docs-sidebar form.docs-search > input.is-medium {
+    font-size: 1.25rem; }
+  .is-large.textarea, .is-large.input, #documenter .docs-sidebar form.docs-search > input.is-large {
+    font-size: 1.5rem; }
+  .is-fullwidth.textarea, .is-fullwidth.input, #documenter .docs-sidebar form.docs-search > input.is-fullwidth {
+    display: block;
+    width: 100%; }
+  .is-inline.textarea, .is-inline.input, #documenter .docs-sidebar form.docs-search > input.is-inline {
+    display: inline;
+    width: auto; }
+
+.input.is-rounded, #documenter .docs-sidebar form.docs-search > input {
+  border-radius: 290486px;
+  padding-left: 1em;
+  padding-right: 1em; }
+
+.input.is-static, #documenter .docs-sidebar form.docs-search > input.is-static {
+  background-color: transparent;
+  border-color: transparent;
+  box-shadow: none;
+  padding-left: 0;
+  padding-right: 0; }
+
+.textarea {
+  display: block;
+  max-width: 100%;
+  min-width: 100%;
+  padding: 0.625em;
+  resize: vertical; }
+  .textarea:not([rows]) {
+    max-height: 600px;
+    min-height: 120px; }
+  .textarea[rows] {
+    height: initial; }
+  .textarea.has-fixed-size {
+    resize: none; }
+
+.radio, .checkbox {
+  cursor: pointer;
+  display: inline-block;
+  line-height: 1.25;
+  position: relative; }
+  .radio input, .checkbox input {
+    cursor: pointer; }
+  .radio:hover, .checkbox:hover {
+    color: #363636; }
+  .radio[disabled], .checkbox[disabled], fieldset[disabled] .radio, fieldset[disabled] .checkbox {
+    color: #6b6b6b;
+    cursor: not-allowed; }
+
+.radio + .radio {
+  margin-left: 0.5em; }
+
+.select {
+  display: inline-block;
+  max-width: 100%;
+  position: relative;
+  vertical-align: top; }
+  .select:not(.is-multiple) {
+    height: 2.25em; }
+  .select:not(.is-multiple):not(.is-loading)::after {
+    border-color: #2e63b8;
+    right: 1.125em;
+    z-index: 4; }
+  .select.is-rounded select, #documenter .docs-sidebar form.docs-search > input.select select {
+    border-radius: 290486px;
+    padding-left: 1em; }
+  .select select {
+    cursor: pointer;
+    display: block;
+    font-size: 1em;
+    max-width: 100%;
+    outline: none; }
+    .select select::-ms-expand {
+      display: none; }
+    .select select[disabled]:hover, fieldset[disabled] .select select:hover {
+      border-color: whitesmoke; }
+    .select select:not([multiple]) {
+      padding-right: 2.5em; }
+    .select select[multiple] {
+      height: auto;
+      padding: 0; }
+      .select select[multiple] option {
+        padding: 0.5em 1em; }
+  .select:not(.is-multiple):not(.is-loading):hover::after {
+    border-color: #363636; }
+  .select.is-white:not(:hover)::after {
+    border-color: white; }
+  .select.is-white select {
+    border-color: white; }
+    .select.is-white select:hover, .select.is-white select.is-hovered {
+      border-color: #f2f2f2; }
+    .select.is-white select:focus, .select.is-white select.is-focused, .select.is-white select:active, .select.is-white select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+  .select.is-black:not(:hover)::after {
+    border-color: #0a0a0a; }
+  .select.is-black select {
+    border-color: #0a0a0a; }
+    .select.is-black select:hover, .select.is-black select.is-hovered {
+      border-color: black; }
+    .select.is-black select:focus, .select.is-black select.is-focused, .select.is-black select:active, .select.is-black select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+  .select.is-light:not(:hover)::after {
+    border-color: whitesmoke; }
+  .select.is-light select {
+    border-color: whitesmoke; }
+    .select.is-light select:hover, .select.is-light select.is-hovered {
+      border-color: #e8e8e8; }
+    .select.is-light select:focus, .select.is-light select.is-focused, .select.is-light select:active, .select.is-light select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); }
+  .select.is-dark:not(:hover)::after, .content kbd.select:not(:hover)::after {
+    border-color: #363636; }
+  .select.is-dark select, .content kbd.select select {
+    border-color: #363636; }
+    .select.is-dark select:hover, .content kbd.select select:hover, .select.is-dark select.is-hovered, .content kbd.select select.is-hovered {
+      border-color: #292929; }
+    .select.is-dark select:focus, .content kbd.select select:focus, .select.is-dark select.is-focused, .content kbd.select select.is-focused, .select.is-dark select:active, .content kbd.select select:active, .select.is-dark select.is-active, .content kbd.select select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); }
+  .select.is-primary:not(:hover)::after, .docstring > section > a.select.docs-sourcelink:not(:hover)::after {
+    border-color: #4eb5de; }
+  .select.is-primary select, .docstring > section > a.select.docs-sourcelink select {
+    border-color: #4eb5de; }
+    .select.is-primary select:hover, .docstring > section > a.select.docs-sourcelink select:hover, .select.is-primary select.is-hovered, .docstring > section > a.select.docs-sourcelink select.is-hovered {
+      border-color: #39acda; }
+    .select.is-primary select:focus, .docstring > section > a.select.docs-sourcelink select:focus, .select.is-primary select.is-focused, .docstring > section > a.select.docs-sourcelink select.is-focused, .select.is-primary select:active, .docstring > section > a.select.docs-sourcelink select:active, .select.is-primary select.is-active, .docstring > section > a.select.docs-sourcelink select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); }
+  .select.is-link:not(:hover)::after {
+    border-color: #2e63b8; }
+  .select.is-link select {
+    border-color: #2e63b8; }
+    .select.is-link select:hover, .select.is-link select.is-hovered {
+      border-color: #2958a4; }
+    .select.is-link select:focus, .select.is-link select.is-focused, .select.is-link select:active, .select.is-link select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .select.is-info:not(:hover)::after {
+    border-color: #209cee; }
+  .select.is-info select {
+    border-color: #209cee; }
+    .select.is-info select:hover, .select.is-info select.is-hovered {
+      border-color: #1190e3; }
+    .select.is-info select:focus, .select.is-info select.is-focused, .select.is-info select:active, .select.is-info select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); }
+  .select.is-success:not(:hover)::after {
+    border-color: #22c35b; }
+  .select.is-success select {
+    border-color: #22c35b; }
+    .select.is-success select:hover, .select.is-success select.is-hovered {
+      border-color: #1ead51; }
+    .select.is-success select:focus, .select.is-success select.is-focused, .select.is-success select:active, .select.is-success select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); }
+  .select.is-warning:not(:hover)::after {
+    border-color: #ffdd57; }
+  .select.is-warning select {
+    border-color: #ffdd57; }
+    .select.is-warning select:hover, .select.is-warning select.is-hovered {
+      border-color: #ffd83e; }
+    .select.is-warning select:focus, .select.is-warning select.is-focused, .select.is-warning select:active, .select.is-warning select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); }
+  .select.is-danger:not(:hover)::after {
+    border-color: #da0b00; }
+  .select.is-danger select {
+    border-color: #da0b00; }
+    .select.is-danger select:hover, .select.is-danger select.is-hovered {
+      border-color: #c10a00; }
+    .select.is-danger select:focus, .select.is-danger select.is-focused, .select.is-danger select:active, .select.is-danger select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); }
+  .select.is-small, #documenter .docs-sidebar form.docs-search > input.select {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .select.is-medium {
+    font-size: 1.25rem; }
+  .select.is-large {
+    font-size: 1.5rem; }
+  .select.is-disabled::after {
+    border-color: #6b6b6b; }
+  .select.is-fullwidth {
+    width: 100%; }
+    .select.is-fullwidth select {
+      width: 100%; }
+  .select.is-loading::after {
+    margin-top: 0;
+    position: absolute;
+    right: 0.625em;
+    top: 0.625em;
+    transform: none; }
+  .select.is-loading.is-small:after, #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+    font-size: 0.75rem; }
+  .select.is-loading.is-medium:after {
+    font-size: 1.25rem; }
+  .select.is-loading.is-large:after {
+    font-size: 1.5rem; }
+
+.file {
+  align-items: stretch;
+  display: flex;
+  justify-content: flex-start;
+  position: relative; }
+  .file.is-white .file-cta {
+    background-color: white;
+    border-color: transparent;
+    color: #0a0a0a; }
+  .file.is-white:hover .file-cta, .file.is-white.is-hovered .file-cta {
+    background-color: #f9f9f9;
+    border-color: transparent;
+    color: #0a0a0a; }
+  .file.is-white:focus .file-cta, .file.is-white.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(255, 255, 255, 0.25);
+    color: #0a0a0a; }
+  .file.is-white:active .file-cta, .file.is-white.is-active .file-cta {
+    background-color: #f2f2f2;
+    border-color: transparent;
+    color: #0a0a0a; }
+  .file.is-black .file-cta {
+    background-color: #0a0a0a;
+    border-color: transparent;
+    color: white; }
+  .file.is-black:hover .file-cta, .file.is-black.is-hovered .file-cta {
+    background-color: #040404;
+    border-color: transparent;
+    color: white; }
+  .file.is-black:focus .file-cta, .file.is-black.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(10, 10, 10, 0.25);
+    color: white; }
+  .file.is-black:active .file-cta, .file.is-black.is-active .file-cta {
+    background-color: black;
+    border-color: transparent;
+    color: white; }
+  .file.is-light .file-cta {
+    background-color: whitesmoke;
+    border-color: transparent;
+    color: #363636; }
+  .file.is-light:hover .file-cta, .file.is-light.is-hovered .file-cta {
+    background-color: #eeeeee;
+    border-color: transparent;
+    color: #363636; }
+  .file.is-light:focus .file-cta, .file.is-light.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(245, 245, 245, 0.25);
+    color: #363636; }
+  .file.is-light:active .file-cta, .file.is-light.is-active .file-cta {
+    background-color: #e8e8e8;
+    border-color: transparent;
+    color: #363636; }
+  .file.is-dark .file-cta, .content kbd.file .file-cta {
+    background-color: #363636;
+    border-color: transparent;
+    color: whitesmoke; }
+  .file.is-dark:hover .file-cta, .content kbd.file:hover .file-cta, .file.is-dark.is-hovered .file-cta, .content kbd.file.is-hovered .file-cta {
+    background-color: #2f2f2f;
+    border-color: transparent;
+    color: whitesmoke; }
+  .file.is-dark:focus .file-cta, .content kbd.file:focus .file-cta, .file.is-dark.is-focused .file-cta, .content kbd.file.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(54, 54, 54, 0.25);
+    color: whitesmoke; }
+  .file.is-dark:active .file-cta, .content kbd.file:active .file-cta, .file.is-dark.is-active .file-cta, .content kbd.file.is-active .file-cta {
+    background-color: #292929;
+    border-color: transparent;
+    color: whitesmoke; }
+  .file.is-primary .file-cta, .docstring > section > a.file.docs-sourcelink .file-cta {
+    background-color: #4eb5de;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-primary:hover .file-cta, .docstring > section > a.file.docs-sourcelink:hover .file-cta, .file.is-primary.is-hovered .file-cta, .docstring > section > a.file.is-hovered.docs-sourcelink .file-cta {
+    background-color: #43b1dc;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-primary:focus .file-cta, .docstring > section > a.file.docs-sourcelink:focus .file-cta, .file.is-primary.is-focused .file-cta, .docstring > section > a.file.is-focused.docs-sourcelink .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(78, 181, 222, 0.25);
+    color: #fff; }
+  .file.is-primary:active .file-cta, .docstring > section > a.file.docs-sourcelink:active .file-cta, .file.is-primary.is-active .file-cta, .docstring > section > a.file.is-active.docs-sourcelink .file-cta {
+    background-color: #39acda;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-link .file-cta {
+    background-color: #2e63b8;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-link:hover .file-cta, .file.is-link.is-hovered .file-cta {
+    background-color: #2b5eae;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-link:focus .file-cta, .file.is-link.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(46, 99, 184, 0.25);
+    color: #fff; }
+  .file.is-link:active .file-cta, .file.is-link.is-active .file-cta {
+    background-color: #2958a4;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-info .file-cta {
+    background-color: #209cee;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-info:hover .file-cta, .file.is-info.is-hovered .file-cta {
+    background-color: #1497ed;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-info:focus .file-cta, .file.is-info.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(32, 156, 238, 0.25);
+    color: #fff; }
+  .file.is-info:active .file-cta, .file.is-info.is-active .file-cta {
+    background-color: #1190e3;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-success .file-cta {
+    background-color: #22c35b;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-success:hover .file-cta, .file.is-success.is-hovered .file-cta {
+    background-color: #20b856;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-success:focus .file-cta, .file.is-success.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(34, 195, 91, 0.25);
+    color: #fff; }
+  .file.is-success:active .file-cta, .file.is-success.is-active .file-cta {
+    background-color: #1ead51;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-warning .file-cta {
+    background-color: #ffdd57;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-warning:hover .file-cta, .file.is-warning.is-hovered .file-cta {
+    background-color: #ffda4a;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-warning:focus .file-cta, .file.is-warning.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(255, 221, 87, 0.25);
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-warning:active .file-cta, .file.is-warning.is-active .file-cta {
+    background-color: #ffd83e;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-danger .file-cta {
+    background-color: #da0b00;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-danger:hover .file-cta, .file.is-danger.is-hovered .file-cta {
+    background-color: #cd0a00;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-danger:focus .file-cta, .file.is-danger.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(218, 11, 0, 0.25);
+    color: #fff; }
+  .file.is-danger:active .file-cta, .file.is-danger.is-active .file-cta {
+    background-color: #c10a00;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-small, #documenter .docs-sidebar form.docs-search > input.file {
+    font-size: 0.75rem; }
+  .file.is-medium {
+    font-size: 1.25rem; }
+    .file.is-medium .file-icon .fa {
+      font-size: 21px; }
+  .file.is-large {
+    font-size: 1.5rem; }
+    .file.is-large .file-icon .fa {
+      font-size: 28px; }
+  .file.has-name .file-cta {
+    border-bottom-right-radius: 0;
+    border-top-right-radius: 0; }
+  .file.has-name .file-name {
+    border-bottom-left-radius: 0;
+    border-top-left-radius: 0; }
+  .file.has-name.is-empty .file-cta {
+    border-radius: 4px; }
+  .file.has-name.is-empty .file-name {
+    display: none; }
+  .file.is-boxed .file-label {
+    flex-direction: column; }
+  .file.is-boxed .file-cta {
+    flex-direction: column;
+    height: auto;
+    padding: 1em 3em; }
+  .file.is-boxed .file-name {
+    border-width: 0 1px 1px; }
+  .file.is-boxed .file-icon {
+    height: 1.5em;
+    width: 1.5em; }
+    .file.is-boxed .file-icon .fa {
+      font-size: 21px; }
+  .file.is-boxed.is-small .file-icon .fa, #documenter .docs-sidebar form.docs-search > input.is-boxed .file-icon .fa {
+    font-size: 14px; }
+  .file.is-boxed.is-medium .file-icon .fa {
+    font-size: 28px; }
+  .file.is-boxed.is-large .file-icon .fa {
+    font-size: 35px; }
+  .file.is-boxed.has-name .file-cta {
+    border-radius: 4px 4px 0 0; }
+  .file.is-boxed.has-name .file-name {
+    border-radius: 0 0 4px 4px;
+    border-width: 0 1px 1px; }
+  .file.is-centered {
+    justify-content: center; }
+  .file.is-fullwidth .file-label {
+    width: 100%; }
+  .file.is-fullwidth .file-name {
+    flex-grow: 1;
+    max-width: none; }
+  .file.is-right {
+    justify-content: flex-end; }
+    .file.is-right .file-cta {
+      border-radius: 0 4px 4px 0; }
+    .file.is-right .file-name {
+      border-radius: 4px 0 0 4px;
+      border-width: 1px 0 1px 1px;
+      order: -1; }
+
+.file-label {
+  align-items: stretch;
+  display: flex;
+  cursor: pointer;
+  justify-content: flex-start;
+  overflow: hidden;
+  position: relative; }
+  .file-label:hover .file-cta {
+    background-color: #eeeeee;
+    color: #363636; }
+  .file-label:hover .file-name {
+    border-color: #d5d5d5; }
+  .file-label:active .file-cta {
+    background-color: #e8e8e8;
+    color: #363636; }
+  .file-label:active .file-name {
+    border-color: #cfcfcf; }
+
+.file-input {
+  height: 100%;
+  left: 0;
+  opacity: 0;
+  outline: none;
+  position: absolute;
+  top: 0;
+  width: 100%; }
+
+.file-cta,
+.file-name {
+  border-color: #dbdbdb;
+  border-radius: 4px;
+  font-size: 1em;
+  padding-left: 1em;
+  padding-right: 1em;
+  white-space: nowrap; }
+
+.file-cta {
+  background-color: whitesmoke;
+  color: #4a4a4a; }
+
+.file-name {
+  border-color: #dbdbdb;
+  border-style: solid;
+  border-width: 1px 1px 1px 0;
+  display: block;
+  max-width: 16em;
+  overflow: hidden;
+  text-align: left;
+  text-overflow: ellipsis; }
+
+.file-icon {
+  align-items: center;
+  display: flex;
+  height: 1em;
+  justify-content: center;
+  margin-right: 0.5em;
+  width: 1em; }
+  .file-icon .fa {
+    font-size: 14px; }
+
+.label {
+  color: #363636;
+  display: block;
+  font-size: 1rem;
+  font-weight: 700; }
+  .label:not(:last-child) {
+    margin-bottom: 0.5em; }
+  .label.is-small, #documenter .docs-sidebar form.docs-search > input.label {
+    font-size: 0.75rem; }
+  .label.is-medium {
+    font-size: 1.25rem; }
+  .label.is-large {
+    font-size: 1.5rem; }
+
+.help {
+  display: block;
+  font-size: 0.75rem;
+  margin-top: 0.25rem; }
+  .help.is-white {
+    color: white; }
+  .help.is-black {
+    color: #0a0a0a; }
+  .help.is-light {
+    color: whitesmoke; }
+  .help.is-dark, .content kbd.help {
+    color: #363636; }
+  .help.is-primary, .docstring > section > a.help.docs-sourcelink {
+    color: #4eb5de; }
+  .help.is-link {
+    color: #2e63b8; }
+  .help.is-info {
+    color: #209cee; }
+  .help.is-success {
+    color: #22c35b; }
+  .help.is-warning {
+    color: #ffdd57; }
+  .help.is-danger {
+    color: #da0b00; }
+
+.field:not(:last-child) {
+  margin-bottom: 0.75rem; }
+
+.field.has-addons {
+  display: flex;
+  justify-content: flex-start; }
+  .field.has-addons .control:not(:last-child) {
+    margin-right: -1px; }
+  .field.has-addons .control:not(:first-child):not(:last-child) .button,
+  .field.has-addons .control:not(:first-child):not(:last-child) .input,
+  .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search > input,
+  #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search > input,
+  .field.has-addons .control:not(:first-child):not(:last-child) .select select {
+    border-radius: 0; }
+  .field.has-addons .control:first-child:not(:only-child) .button,
+  .field.has-addons .control:first-child:not(:only-child) .input,
+  .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+  #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search > input,
+  .field.has-addons .control:first-child:not(:only-child) .select select {
+    border-bottom-right-radius: 0;
+    border-top-right-radius: 0; }
+  .field.has-addons .control:last-child:not(:only-child) .button,
+  .field.has-addons .control:last-child:not(:only-child) .input,
+  .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+  #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search > input,
+  .field.has-addons .control:last-child:not(:only-child) .select select {
+    border-bottom-left-radius: 0;
+    border-top-left-radius: 0; }
+  .field.has-addons .control .button:not([disabled]):hover, .field.has-addons .control .button.is-hovered:not([disabled]),
+  .field.has-addons .control .input:not([disabled]):hover,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):hover,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):hover,
+  .field.has-addons .control .input.is-hovered:not([disabled]),
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-hovered:not([disabled]),
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-hovered:not([disabled]),
+  .field.has-addons .control .select select:not([disabled]):hover,
+  .field.has-addons .control .select select.is-hovered:not([disabled]) {
+    z-index: 2; }
+  .field.has-addons .control .button:not([disabled]):focus, .field.has-addons .control .button.is-focused:not([disabled]), .field.has-addons .control .button:not([disabled]):active, .field.has-addons .control .button.is-active:not([disabled]),
+  .field.has-addons .control .input:not([disabled]):focus,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus,
+  .field.has-addons .control .input.is-focused:not([disabled]),
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]),
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]),
+  .field.has-addons .control .input:not([disabled]):active,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active,
+  .field.has-addons .control .input.is-active:not([disabled]),
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]),
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]),
+  .field.has-addons .control .select select:not([disabled]):focus,
+  .field.has-addons .control .select select.is-focused:not([disabled]),
+  .field.has-addons .control .select select:not([disabled]):active,
+  .field.has-addons .control .select select.is-active:not([disabled]) {
+    z-index: 3; }
+    .field.has-addons .control .button:not([disabled]):focus:hover, .field.has-addons .control .button.is-focused:not([disabled]):hover, .field.has-addons .control .button:not([disabled]):active:hover, .field.has-addons .control .button.is-active:not([disabled]):hover,
+    .field.has-addons .control .input:not([disabled]):focus:hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus:hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus:hover,
+    .field.has-addons .control .input.is-focused:not([disabled]):hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]):hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]):hover,
+    .field.has-addons .control .input:not([disabled]):active:hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active:hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active:hover,
+    .field.has-addons .control .input.is-active:not([disabled]):hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]):hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]):hover,
+    .field.has-addons .control .select select:not([disabled]):focus:hover,
+    .field.has-addons .control .select select.is-focused:not([disabled]):hover,
+    .field.has-addons .control .select select:not([disabled]):active:hover,
+    .field.has-addons .control .select select.is-active:not([disabled]):hover {
+      z-index: 4; }
+  .field.has-addons .control.is-expanded {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .field.has-addons.has-addons-centered {
+    justify-content: center; }
+  .field.has-addons.has-addons-right {
+    justify-content: flex-end; }
+  .field.has-addons.has-addons-fullwidth .control {
+    flex-grow: 1;
+    flex-shrink: 0; }
+
+.field.is-grouped {
+  display: flex;
+  justify-content: flex-start; }
+  .field.is-grouped > .control {
+    flex-shrink: 0; }
+    .field.is-grouped > .control:not(:last-child) {
+      margin-bottom: 0;
+      margin-right: 0.75rem; }
+    .field.is-grouped > .control.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+  .field.is-grouped.is-grouped-centered {
+    justify-content: center; }
+  .field.is-grouped.is-grouped-right {
+    justify-content: flex-end; }
+  .field.is-grouped.is-grouped-multiline {
+    flex-wrap: wrap; }
+    .field.is-grouped.is-grouped-multiline > .control:last-child, .field.is-grouped.is-grouped-multiline > .control:not(:last-child) {
+      margin-bottom: 0.75rem; }
+    .field.is-grouped.is-grouped-multiline:last-child {
+      margin-bottom: -0.75rem; }
+    .field.is-grouped.is-grouped-multiline:not(:last-child) {
+      margin-bottom: 0; }
+
+@media screen and (min-width: 769px), print {
+  .field.is-horizontal {
+    display: flex; } }
+
+.field-label .label {
+  font-size: inherit; }
+
+@media screen and (max-width: 768px) {
+  .field-label {
+    margin-bottom: 0.5rem; } }
+
+@media screen and (min-width: 769px), print {
+  .field-label {
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 0;
+    margin-right: 1.5rem;
+    text-align: right; }
+    .field-label.is-small, #documenter .docs-sidebar form.docs-search > input.field-label {
+      font-size: 0.75rem;
+      padding-top: 0.375em; }
+    .field-label.is-normal {
+      padding-top: 0.375em; }
+    .field-label.is-medium {
+      font-size: 1.25rem;
+      padding-top: 0.375em; }
+    .field-label.is-large {
+      font-size: 1.5rem;
+      padding-top: 0.375em; } }
+
+.field-body .field .field {
+  margin-bottom: 0; }
+
+@media screen and (min-width: 769px), print {
+  .field-body {
+    display: flex;
+    flex-basis: 0;
+    flex-grow: 5;
+    flex-shrink: 1; }
+    .field-body .field {
+      margin-bottom: 0; }
+    .field-body > .field {
+      flex-shrink: 1; }
+      .field-body > .field:not(.is-narrow) {
+        flex-grow: 1; }
+      .field-body > .field:not(:last-child) {
+        margin-right: 0.75rem; } }
+
+.control {
+  box-sizing: border-box;
+  clear: both;
+  font-size: 1rem;
+  position: relative;
+  text-align: left; }
+  .control.has-icons-left .input:focus ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input:focus ~ .icon,
+  .control.has-icons-left .select:focus ~ .icon, .control.has-icons-right .input:focus ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input:focus ~ .icon,
+  .control.has-icons-right .select:focus ~ .icon {
+    color: #6b6b6b; }
+  .control.has-icons-left .input.is-small ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input ~ .icon,
+  .control.has-icons-left .select.is-small ~ .icon, .control.has-icons-right .input.is-small ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input ~ .icon,
+  .control.has-icons-right .select.is-small ~ .icon {
+    font-size: 0.75rem; }
+  .control.has-icons-left .input.is-medium ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-medium ~ .icon,
+  .control.has-icons-left .select.is-medium ~ .icon, .control.has-icons-right .input.is-medium ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-medium ~ .icon,
+  .control.has-icons-right .select.is-medium ~ .icon {
+    font-size: 1.25rem; }
+  .control.has-icons-left .input.is-large ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-large ~ .icon,
+  .control.has-icons-left .select.is-large ~ .icon, .control.has-icons-right .input.is-large ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-large ~ .icon,
+  .control.has-icons-right .select.is-large ~ .icon {
+    font-size: 1.5rem; }
+  .control.has-icons-left .icon, .control.has-icons-right .icon {
+    color: #dbdbdb;
+    height: 2.25em;
+    pointer-events: none;
+    position: absolute;
+    top: 0;
+    width: 2.25em;
+    z-index: 4; }
+  .control.has-icons-left .input, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input,
+  .control.has-icons-left .select select {
+    padding-left: 2.25em; }
+  .control.has-icons-left .icon.is-left {
+    left: 0; }
+  .control.has-icons-right .input, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input,
+  .control.has-icons-right .select select {
+    padding-right: 2.25em; }
+  .control.has-icons-right .icon.is-right {
+    right: 0; }
+  .control.is-loading::after {
+    position: absolute !important;
+    right: 0.625em;
+    top: 0.625em;
+    z-index: 4; }
+  .control.is-loading.is-small:after, #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+    font-size: 0.75rem; }
+  .control.is-loading.is-medium:after {
+    font-size: 1.25rem; }
+  .control.is-loading.is-large:after {
+    font-size: 1.5rem; }
+
+.breadcrumb {
+  font-size: 1rem;
+  white-space: nowrap; }
+  .breadcrumb a {
+    align-items: center;
+    color: #2e63b8;
+    display: flex;
+    justify-content: center;
+    padding: 0 0.75em; }
+    .breadcrumb a:hover {
+      color: #363636; }
+  .breadcrumb li {
+    align-items: center;
+    display: flex; }
+    .breadcrumb li:first-child a {
+      padding-left: 0; }
+    .breadcrumb li.is-active a {
+      color: #222222;
+      cursor: default;
+      pointer-events: none; }
+    .breadcrumb li + li::before {
+      color: #b5b5b5;
+      content: "\0002f"; }
+  .breadcrumb ul,
+  .breadcrumb ol {
+    align-items: flex-start;
+    display: flex;
+    flex-wrap: wrap;
+    justify-content: flex-start; }
+  .breadcrumb .icon:first-child {
+    margin-right: 0.5em; }
+  .breadcrumb .icon:last-child {
+    margin-left: 0.5em; }
+  .breadcrumb.is-centered ol,
+  .breadcrumb.is-centered ul {
+    justify-content: center; }
+  .breadcrumb.is-right ol,
+  .breadcrumb.is-right ul {
+    justify-content: flex-end; }
+  .breadcrumb.is-small, #documenter .docs-sidebar form.docs-search > input.breadcrumb {
+    font-size: 0.75rem; }
+  .breadcrumb.is-medium {
+    font-size: 1.25rem; }
+  .breadcrumb.is-large {
+    font-size: 1.5rem; }
+  .breadcrumb.has-arrow-separator li + li::before {
+    content: "\02192"; }
+  .breadcrumb.has-bullet-separator li + li::before {
+    content: "\02022"; }
+  .breadcrumb.has-dot-separator li + li::before {
+    content: "\000b7"; }
+  .breadcrumb.has-succeeds-separator li + li::before {
+    content: "\0227B"; }
+
+.card {
+  background-color: white;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+  color: #222222;
+  max-width: 100%;
+  position: relative; }
+
+.card-header {
+  background-color: transparent;
+  align-items: stretch;
+  box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+  display: flex; }
+
+.card-header-title {
+  align-items: center;
+  color: #222222;
+  display: flex;
+  flex-grow: 1;
+  font-weight: 700;
+  padding: 0.75rem; }
+  .card-header-title.is-centered {
+    justify-content: center; }
+
+.card-header-icon {
+  align-items: center;
+  cursor: pointer;
+  display: flex;
+  justify-content: center;
+  padding: 0.75rem; }
+
+.card-image {
+  display: block;
+  position: relative; }
+
+.card-content {
+  background-color: transparent;
+  padding: 1.5rem; }
+
+.card-footer {
+  background-color: transparent;
+  border-top: 1px solid #dbdbdb;
+  align-items: stretch;
+  display: flex; }
+
+.card-footer-item {
+  align-items: center;
+  display: flex;
+  flex-basis: 0;
+  flex-grow: 1;
+  flex-shrink: 0;
+  justify-content: center;
+  padding: 0.75rem; }
+  .card-footer-item:not(:last-child) {
+    border-right: 1px solid #dbdbdb; }
+
+.card .media:not(:last-child) {
+  margin-bottom: 1.5rem; }
+
+.dropdown {
+  display: inline-flex;
+  position: relative;
+  vertical-align: top; }
+  .dropdown.is-active .dropdown-menu, .dropdown.is-hoverable:hover .dropdown-menu {
+    display: block; }
+  .dropdown.is-right .dropdown-menu {
+    left: auto;
+    right: 0; }
+  .dropdown.is-up .dropdown-menu {
+    bottom: 100%;
+    padding-bottom: 4px;
+    padding-top: initial;
+    top: auto; }
+
+.dropdown-menu {
+  display: none;
+  left: 0;
+  min-width: 12rem;
+  padding-top: 4px;
+  position: absolute;
+  top: 100%;
+  z-index: 20; }
+
+.dropdown-content {
+  background-color: white;
+  border-radius: 4px;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+  padding-bottom: 0.5rem;
+  padding-top: 0.5rem; }
+
+.dropdown-item {
+  color: #4a4a4a;
+  display: block;
+  font-size: 0.875rem;
+  line-height: 1.5;
+  padding: 0.375rem 1rem;
+  position: relative; }
+
+a.dropdown-item,
+button.dropdown-item {
+  padding-right: 3rem;
+  text-align: left;
+  white-space: nowrap;
+  width: 100%; }
+  a.dropdown-item:hover,
+  button.dropdown-item:hover {
+    background-color: whitesmoke;
+    color: #0a0a0a; }
+  a.dropdown-item.is-active,
+  button.dropdown-item.is-active {
+    background-color: #2e63b8;
+    color: #fff; }
+
+.dropdown-divider {
+  background-color: #dbdbdb;
+  border: none;
+  display: block;
+  height: 1px;
+  margin: 0.5rem 0; }
+
+.level {
+  align-items: center;
+  justify-content: space-between; }
+  .level code {
+    border-radius: 4px; }
+  .level img {
+    display: inline-block;
+    vertical-align: top; }
+  .level.is-mobile {
+    display: flex; }
+    .level.is-mobile .level-left,
+    .level.is-mobile .level-right {
+      display: flex; }
+    .level.is-mobile .level-left + .level-right {
+      margin-top: 0; }
+    .level.is-mobile .level-item:not(:last-child) {
+      margin-bottom: 0;
+      margin-right: 0.75rem; }
+    .level.is-mobile .level-item:not(.is-narrow) {
+      flex-grow: 1; }
+  @media screen and (min-width: 769px), print {
+    .level {
+      display: flex; }
+      .level > .level-item:not(.is-narrow) {
+        flex-grow: 1; } }
+.level-item {
+  align-items: center;
+  display: flex;
+  flex-basis: auto;
+  flex-grow: 0;
+  flex-shrink: 0;
+  justify-content: center; }
+  .level-item .title,
+  .level-item .subtitle {
+    margin-bottom: 0; }
+  @media screen and (max-width: 768px) {
+    .level-item:not(:last-child) {
+      margin-bottom: 0.75rem; } }
+.level-left,
+.level-right {
+  flex-basis: auto;
+  flex-grow: 0;
+  flex-shrink: 0; }
+  .level-left .level-item.is-flexible,
+  .level-right .level-item.is-flexible {
+    flex-grow: 1; }
+  @media screen and (min-width: 769px), print {
+    .level-left .level-item:not(:last-child),
+    .level-right .level-item:not(:last-child) {
+      margin-right: 0.75rem; } }
+.level-left {
+  align-items: center;
+  justify-content: flex-start; }
+  @media screen and (max-width: 768px) {
+    .level-left + .level-right {
+      margin-top: 1.5rem; } }
+  @media screen and (min-width: 769px), print {
+    .level-left {
+      display: flex; } }
+.level-right {
+  align-items: center;
+  justify-content: flex-end; }
+  @media screen and (min-width: 769px), print {
+    .level-right {
+      display: flex; } }
+.list {
+  background-color: white;
+  border-radius: 4px;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); }
+
+.list-item {
+  display: block;
+  padding: 0.5em 1em; }
+  .list-item:not(a) {
+    color: #222222; }
+  .list-item:first-child {
+    border-top-left-radius: 4px;
+    border-top-right-radius: 4px; }
+  .list-item:last-child {
+    border-bottom-left-radius: 4px;
+    border-bottom-right-radius: 4px; }
+  .list-item:not(:last-child) {
+    border-bottom: 1px solid #dbdbdb; }
+  .list-item.is-active {
+    background-color: #2e63b8;
+    color: #fff; }
+
+a.list-item {
+  background-color: whitesmoke;
+  cursor: pointer; }
+
+.media {
+  align-items: flex-start;
+  display: flex;
+  text-align: left; }
+  .media .content:not(:last-child) {
+    margin-bottom: 0.75rem; }
+  .media .media {
+    border-top: 1px solid rgba(219, 219, 219, 0.5);
+    display: flex;
+    padding-top: 0.75rem; }
+    .media .media .content:not(:last-child),
+    .media .media .control:not(:last-child) {
+      margin-bottom: 0.5rem; }
+    .media .media .media {
+      padding-top: 0.5rem; }
+      .media .media .media + .media {
+        margin-top: 0.5rem; }
+  .media + .media {
+    border-top: 1px solid rgba(219, 219, 219, 0.5);
+    margin-top: 1rem;
+    padding-top: 1rem; }
+  .media.is-large + .media {
+    margin-top: 1.5rem;
+    padding-top: 1.5rem; }
+
+.media-left,
+.media-right {
+  flex-basis: auto;
+  flex-grow: 0;
+  flex-shrink: 0; }
+
+.media-left {
+  margin-right: 1rem; }
+
+.media-right {
+  margin-left: 1rem; }
+
+.media-content {
+  flex-basis: auto;
+  flex-grow: 1;
+  flex-shrink: 1;
+  text-align: left; }
+
+@media screen and (max-width: 768px) {
+  .media-content {
+    overflow-x: auto; } }
+
+.menu {
+  font-size: 1rem; }
+  .menu.is-small, #documenter .docs-sidebar form.docs-search > input.menu {
+    font-size: 0.75rem; }
+  .menu.is-medium {
+    font-size: 1.25rem; }
+  .menu.is-large {
+    font-size: 1.5rem; }
+
+.menu-list {
+  line-height: 1.25; }
+  .menu-list a {
+    border-radius: 2px;
+    color: #222222;
+    display: block;
+    padding: 0.5em 0.75em; }
+    .menu-list a:hover {
+      background-color: whitesmoke;
+      color: #222222; }
+    .menu-list a.is-active {
+      background-color: #2e63b8;
+      color: #fff; }
+  .menu-list li ul {
+    border-left: 1px solid #dbdbdb;
+    margin: 0.75em;
+    padding-left: 0.75em; }
+
+.menu-label {
+  color: #6b6b6b;
+  font-size: 0.75em;
+  letter-spacing: 0.1em;
+  text-transform: uppercase; }
+  .menu-label:not(:first-child) {
+    margin-top: 1em; }
+  .menu-label:not(:last-child) {
+    margin-bottom: 1em; }
+
+.message {
+  background-color: whitesmoke;
+  border-radius: 4px;
+  font-size: 1rem; }
+  .message strong {
+    color: currentColor; }
+  .message a:not(.button):not(.tag):not(.dropdown-item) {
+    color: currentColor;
+    text-decoration: underline; }
+  .message.is-small, #documenter .docs-sidebar form.docs-search > input.message {
+    font-size: 0.75rem; }
+  .message.is-medium {
+    font-size: 1.25rem; }
+  .message.is-large {
+    font-size: 1.5rem; }
+  .message.is-white {
+    background-color: white; }
+    .message.is-white .message-header {
+      background-color: white;
+      color: #0a0a0a; }
+    .message.is-white .message-body {
+      border-color: white;
+      color: #4d4d4d; }
+  .message.is-black {
+    background-color: #fafafa; }
+    .message.is-black .message-header {
+      background-color: #0a0a0a;
+      color: white; }
+    .message.is-black .message-body {
+      border-color: #0a0a0a;
+      color: #090909; }
+  .message.is-light {
+    background-color: #fafafa; }
+    .message.is-light .message-header {
+      background-color: whitesmoke;
+      color: #363636; }
+    .message.is-light .message-body {
+      border-color: whitesmoke;
+      color: #505050; }
+  .message.is-dark, .content kbd.message {
+    background-color: #fafafa; }
+    .message.is-dark .message-header, .content kbd.message .message-header {
+      background-color: #363636;
+      color: whitesmoke; }
+    .message.is-dark .message-body, .content kbd.message .message-body {
+      border-color: #363636;
+      color: #2a2a2a; }
+  .message.is-primary, .docstring > section > a.message.docs-sourcelink {
+    background-color: #f6fbfd; }
+    .message.is-primary .message-header, .docstring > section > a.message.docs-sourcelink .message-header {
+      background-color: #4eb5de;
+      color: #fff; }
+    .message.is-primary .message-body, .docstring > section > a.message.docs-sourcelink .message-body {
+      border-color: #4eb5de;
+      color: #1f556a; }
+  .message.is-link {
+    background-color: #f7f9fd; }
+    .message.is-link .message-header {
+      background-color: #2e63b8;
+      color: #fff; }
+    .message.is-link .message-body {
+      border-color: #2e63b8;
+      color: #264981; }
+  .message.is-info {
+    background-color: #f6fbfe; }
+    .message.is-info .message-header {
+      background-color: #209cee;
+      color: #fff; }
+    .message.is-info .message-body {
+      border-color: #209cee;
+      color: #12537d; }
+  .message.is-success {
+    background-color: #f6fdf9; }
+    .message.is-success .message-header {
+      background-color: #22c35b;
+      color: #fff; }
+    .message.is-success .message-body {
+      border-color: #22c35b;
+      color: #0f361d; }
+  .message.is-warning {
+    background-color: #fffdf5; }
+    .message.is-warning .message-header {
+      background-color: #ffdd57;
+      color: rgba(0, 0, 0, 0.7); }
+    .message.is-warning .message-body {
+      border-color: #ffdd57;
+      color: #3c3108; }
+  .message.is-danger {
+    background-color: #fff5f5; }
+    .message.is-danger .message-header {
+      background-color: #da0b00;
+      color: #fff; }
+    .message.is-danger .message-body {
+      border-color: #da0b00;
+      color: #9b0c04; }
+
+.message-header {
+  align-items: center;
+  background-color: #222222;
+  border-radius: 4px 4px 0 0;
+  color: #fff;
+  display: flex;
+  font-weight: 700;
+  justify-content: space-between;
+  line-height: 1.25;
+  padding: 0.75em 1em;
+  position: relative; }
+  .message-header .delete {
+    flex-grow: 0;
+    flex-shrink: 0;
+    margin-left: 0.75em; }
+  .message-header + .message-body {
+    border-width: 0;
+    border-top-left-radius: 0;
+    border-top-right-radius: 0; }
+
+.message-body {
+  border-color: #dbdbdb;
+  border-radius: 4px;
+  border-style: solid;
+  border-width: 0 0 0 4px;
+  color: #222222;
+  padding: 1.25em 1.5em; }
+  .message-body code,
+  .message-body pre {
+    background-color: white; }
+  .message-body pre code {
+    background-color: transparent; }
+
+.modal {
+  align-items: center;
+  display: none;
+  flex-direction: column;
+  justify-content: center;
+  overflow: hidden;
+  position: fixed;
+  z-index: 40; }
+  .modal.is-active {
+    display: flex; }
+
+.modal-background {
+  background-color: rgba(10, 10, 10, 0.86); }
+
+.modal-content,
+.modal-card {
+  margin: 0 20px;
+  max-height: calc(100vh - 160px);
+  overflow: auto;
+  position: relative;
+  width: 100%; }
+  @media screen and (min-width: 769px), print {
+    .modal-content,
+    .modal-card {
+      margin: 0 auto;
+      max-height: calc(100vh - 40px);
+      width: 640px; } }
+.modal-close {
+  background: none;
+  height: 40px;
+  position: fixed;
+  right: 20px;
+  top: 20px;
+  width: 40px; }
+
+.modal-card {
+  display: flex;
+  flex-direction: column;
+  max-height: calc(100vh - 40px);
+  overflow: hidden;
+  -ms-overflow-y: visible; }
+
+.modal-card-head,
+.modal-card-foot {
+  align-items: center;
+  background-color: whitesmoke;
+  display: flex;
+  flex-shrink: 0;
+  justify-content: flex-start;
+  padding: 20px;
+  position: relative; }
+
+.modal-card-head {
+  border-bottom: 1px solid #dbdbdb;
+  border-top-left-radius: 6px;
+  border-top-right-radius: 6px; }
+
+.modal-card-title {
+  color: #222222;
+  flex-grow: 1;
+  flex-shrink: 0;
+  font-size: 1.5rem;
+  line-height: 1; }
+
+.modal-card-foot {
+  border-bottom-left-radius: 6px;
+  border-bottom-right-radius: 6px;
+  border-top: 1px solid #dbdbdb; }
+  .modal-card-foot .button:not(:last-child) {
+    margin-right: 0.5em; }
+
+.modal-card-body {
+  -webkit-overflow-scrolling: touch;
+  background-color: white;
+  flex-grow: 1;
+  flex-shrink: 1;
+  overflow: auto;
+  padding: 20px; }
+
+.navbar {
+  background-color: white;
+  min-height: 3.25rem;
+  position: relative;
+  z-index: 30; }
+  .navbar.is-white {
+    background-color: white;
+    color: #0a0a0a; }
+    .navbar.is-white .navbar-brand > .navbar-item,
+    .navbar.is-white .navbar-brand .navbar-link {
+      color: #0a0a0a; }
+    .navbar.is-white .navbar-brand > a.navbar-item:focus, .navbar.is-white .navbar-brand > a.navbar-item:hover, .navbar.is-white .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-white .navbar-brand .navbar-link:focus,
+    .navbar.is-white .navbar-brand .navbar-link:hover,
+    .navbar.is-white .navbar-brand .navbar-link.is-active {
+      background-color: #f2f2f2;
+      color: #0a0a0a; }
+    .navbar.is-white .navbar-brand .navbar-link::after {
+      border-color: #0a0a0a; }
+    .navbar.is-white .navbar-burger {
+      color: #0a0a0a; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-white .navbar-start > .navbar-item,
+      .navbar.is-white .navbar-start .navbar-link,
+      .navbar.is-white .navbar-end > .navbar-item,
+      .navbar.is-white .navbar-end .navbar-link {
+        color: #0a0a0a; }
+      .navbar.is-white .navbar-start > a.navbar-item:focus, .navbar.is-white .navbar-start > a.navbar-item:hover, .navbar.is-white .navbar-start > a.navbar-item.is-active,
+      .navbar.is-white .navbar-start .navbar-link:focus,
+      .navbar.is-white .navbar-start .navbar-link:hover,
+      .navbar.is-white .navbar-start .navbar-link.is-active,
+      .navbar.is-white .navbar-end > a.navbar-item:focus,
+      .navbar.is-white .navbar-end > a.navbar-item:hover,
+      .navbar.is-white .navbar-end > a.navbar-item.is-active,
+      .navbar.is-white .navbar-end .navbar-link:focus,
+      .navbar.is-white .navbar-end .navbar-link:hover,
+      .navbar.is-white .navbar-end .navbar-link.is-active {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      .navbar.is-white .navbar-start .navbar-link::after,
+      .navbar.is-white .navbar-end .navbar-link::after {
+        border-color: #0a0a0a; }
+      .navbar.is-white .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-white .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-white .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      .navbar.is-white .navbar-dropdown a.navbar-item.is-active {
+        background-color: white;
+        color: #0a0a0a; } }
+  .navbar.is-black {
+    background-color: #0a0a0a;
+    color: white; }
+    .navbar.is-black .navbar-brand > .navbar-item,
+    .navbar.is-black .navbar-brand .navbar-link {
+      color: white; }
+    .navbar.is-black .navbar-brand > a.navbar-item:focus, .navbar.is-black .navbar-brand > a.navbar-item:hover, .navbar.is-black .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-black .navbar-brand .navbar-link:focus,
+    .navbar.is-black .navbar-brand .navbar-link:hover,
+    .navbar.is-black .navbar-brand .navbar-link.is-active {
+      background-color: black;
+      color: white; }
+    .navbar.is-black .navbar-brand .navbar-link::after {
+      border-color: white; }
+    .navbar.is-black .navbar-burger {
+      color: white; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-black .navbar-start > .navbar-item,
+      .navbar.is-black .navbar-start .navbar-link,
+      .navbar.is-black .navbar-end > .navbar-item,
+      .navbar.is-black .navbar-end .navbar-link {
+        color: white; }
+      .navbar.is-black .navbar-start > a.navbar-item:focus, .navbar.is-black .navbar-start > a.navbar-item:hover, .navbar.is-black .navbar-start > a.navbar-item.is-active,
+      .navbar.is-black .navbar-start .navbar-link:focus,
+      .navbar.is-black .navbar-start .navbar-link:hover,
+      .navbar.is-black .navbar-start .navbar-link.is-active,
+      .navbar.is-black .navbar-end > a.navbar-item:focus,
+      .navbar.is-black .navbar-end > a.navbar-item:hover,
+      .navbar.is-black .navbar-end > a.navbar-item.is-active,
+      .navbar.is-black .navbar-end .navbar-link:focus,
+      .navbar.is-black .navbar-end .navbar-link:hover,
+      .navbar.is-black .navbar-end .navbar-link.is-active {
+        background-color: black;
+        color: white; }
+      .navbar.is-black .navbar-start .navbar-link::after,
+      .navbar.is-black .navbar-end .navbar-link::after {
+        border-color: white; }
+      .navbar.is-black .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-black .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-black .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: black;
+        color: white; }
+      .navbar.is-black .navbar-dropdown a.navbar-item.is-active {
+        background-color: #0a0a0a;
+        color: white; } }
+  .navbar.is-light {
+    background-color: whitesmoke;
+    color: #363636; }
+    .navbar.is-light .navbar-brand > .navbar-item,
+    .navbar.is-light .navbar-brand .navbar-link {
+      color: #363636; }
+    .navbar.is-light .navbar-brand > a.navbar-item:focus, .navbar.is-light .navbar-brand > a.navbar-item:hover, .navbar.is-light .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-light .navbar-brand .navbar-link:focus,
+    .navbar.is-light .navbar-brand .navbar-link:hover,
+    .navbar.is-light .navbar-brand .navbar-link.is-active {
+      background-color: #e8e8e8;
+      color: #363636; }
+    .navbar.is-light .navbar-brand .navbar-link::after {
+      border-color: #363636; }
+    .navbar.is-light .navbar-burger {
+      color: #363636; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-light .navbar-start > .navbar-item,
+      .navbar.is-light .navbar-start .navbar-link,
+      .navbar.is-light .navbar-end > .navbar-item,
+      .navbar.is-light .navbar-end .navbar-link {
+        color: #363636; }
+      .navbar.is-light .navbar-start > a.navbar-item:focus, .navbar.is-light .navbar-start > a.navbar-item:hover, .navbar.is-light .navbar-start > a.navbar-item.is-active,
+      .navbar.is-light .navbar-start .navbar-link:focus,
+      .navbar.is-light .navbar-start .navbar-link:hover,
+      .navbar.is-light .navbar-start .navbar-link.is-active,
+      .navbar.is-light .navbar-end > a.navbar-item:focus,
+      .navbar.is-light .navbar-end > a.navbar-item:hover,
+      .navbar.is-light .navbar-end > a.navbar-item.is-active,
+      .navbar.is-light .navbar-end .navbar-link:focus,
+      .navbar.is-light .navbar-end .navbar-link:hover,
+      .navbar.is-light .navbar-end .navbar-link.is-active {
+        background-color: #e8e8e8;
+        color: #363636; }
+      .navbar.is-light .navbar-start .navbar-link::after,
+      .navbar.is-light .navbar-end .navbar-link::after {
+        border-color: #363636; }
+      .navbar.is-light .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-light .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-light .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #e8e8e8;
+        color: #363636; }
+      .navbar.is-light .navbar-dropdown a.navbar-item.is-active {
+        background-color: whitesmoke;
+        color: #363636; } }
+  .navbar.is-dark, .content kbd.navbar {
+    background-color: #363636;
+    color: whitesmoke; }
+    .navbar.is-dark .navbar-brand > .navbar-item, .content kbd.navbar .navbar-brand > .navbar-item,
+    .navbar.is-dark .navbar-brand .navbar-link,
+    .content kbd.navbar .navbar-brand .navbar-link {
+      color: whitesmoke; }
+    .navbar.is-dark .navbar-brand > a.navbar-item:focus, .content kbd.navbar .navbar-brand > a.navbar-item:focus, .navbar.is-dark .navbar-brand > a.navbar-item:hover, .content kbd.navbar .navbar-brand > a.navbar-item:hover, .navbar.is-dark .navbar-brand > a.navbar-item.is-active, .content kbd.navbar .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-dark .navbar-brand .navbar-link:focus,
+    .content kbd.navbar .navbar-brand .navbar-link:focus,
+    .navbar.is-dark .navbar-brand .navbar-link:hover,
+    .content kbd.navbar .navbar-brand .navbar-link:hover,
+    .navbar.is-dark .navbar-brand .navbar-link.is-active,
+    .content kbd.navbar .navbar-brand .navbar-link.is-active {
+      background-color: #292929;
+      color: whitesmoke; }
+    .navbar.is-dark .navbar-brand .navbar-link::after, .content kbd.navbar .navbar-brand .navbar-link::after {
+      border-color: whitesmoke; }
+    .navbar.is-dark .navbar-burger, .content kbd.navbar .navbar-burger {
+      color: whitesmoke; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-dark .navbar-start > .navbar-item, .content kbd.navbar .navbar-start > .navbar-item,
+      .navbar.is-dark .navbar-start .navbar-link,
+      .content kbd.navbar .navbar-start .navbar-link,
+      .navbar.is-dark .navbar-end > .navbar-item,
+      .content kbd.navbar .navbar-end > .navbar-item,
+      .navbar.is-dark .navbar-end .navbar-link,
+      .content kbd.navbar .navbar-end .navbar-link {
+        color: whitesmoke; }
+      .navbar.is-dark .navbar-start > a.navbar-item:focus, .content kbd.navbar .navbar-start > a.navbar-item:focus, .navbar.is-dark .navbar-start > a.navbar-item:hover, .content kbd.navbar .navbar-start > a.navbar-item:hover, .navbar.is-dark .navbar-start > a.navbar-item.is-active, .content kbd.navbar .navbar-start > a.navbar-item.is-active,
+      .navbar.is-dark .navbar-start .navbar-link:focus,
+      .content kbd.navbar .navbar-start .navbar-link:focus,
+      .navbar.is-dark .navbar-start .navbar-link:hover,
+      .content kbd.navbar .navbar-start .navbar-link:hover,
+      .navbar.is-dark .navbar-start .navbar-link.is-active,
+      .content kbd.navbar .navbar-start .navbar-link.is-active,
+      .navbar.is-dark .navbar-end > a.navbar-item:focus,
+      .content kbd.navbar .navbar-end > a.navbar-item:focus,
+      .navbar.is-dark .navbar-end > a.navbar-item:hover,
+      .content kbd.navbar .navbar-end > a.navbar-item:hover,
+      .navbar.is-dark .navbar-end > a.navbar-item.is-active,
+      .content kbd.navbar .navbar-end > a.navbar-item.is-active,
+      .navbar.is-dark .navbar-end .navbar-link:focus,
+      .content kbd.navbar .navbar-end .navbar-link:focus,
+      .navbar.is-dark .navbar-end .navbar-link:hover,
+      .content kbd.navbar .navbar-end .navbar-link:hover,
+      .navbar.is-dark .navbar-end .navbar-link.is-active,
+      .content kbd.navbar .navbar-end .navbar-link.is-active {
+        background-color: #292929;
+        color: whitesmoke; }
+      .navbar.is-dark .navbar-start .navbar-link::after, .content kbd.navbar .navbar-start .navbar-link::after,
+      .navbar.is-dark .navbar-end .navbar-link::after,
+      .content kbd.navbar .navbar-end .navbar-link::after {
+        border-color: whitesmoke; }
+      .navbar.is-dark .navbar-item.has-dropdown:focus .navbar-link, .content kbd.navbar .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-dark .navbar-item.has-dropdown:hover .navbar-link,
+      .content kbd.navbar .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-dark .navbar-item.has-dropdown.is-active .navbar-link,
+      .content kbd.navbar .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #292929;
+        color: whitesmoke; }
+      .navbar.is-dark .navbar-dropdown a.navbar-item.is-active, .content kbd.navbar .navbar-dropdown a.navbar-item.is-active {
+        background-color: #363636;
+        color: whitesmoke; } }
+  .navbar.is-primary, .docstring > section > a.navbar.docs-sourcelink {
+    background-color: #4eb5de;
+    color: #fff; }
+    .navbar.is-primary .navbar-brand > .navbar-item, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > .navbar-item,
+    .navbar.is-primary .navbar-brand .navbar-link,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-primary .navbar-brand > a.navbar-item:focus, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:focus, .navbar.is-primary .navbar-brand > a.navbar-item:hover, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:hover, .navbar.is-primary .navbar-brand > a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-primary .navbar-brand .navbar-link:focus,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:focus,
+    .navbar.is-primary .navbar-brand .navbar-link:hover,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:hover,
+    .navbar.is-primary .navbar-brand .navbar-link.is-active,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link.is-active {
+      background-color: #39acda;
+      color: #fff; }
+    .navbar.is-primary .navbar-brand .navbar-link::after, .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-primary .navbar-burger, .docstring > section > a.navbar.docs-sourcelink .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-primary .navbar-start > .navbar-item, .docstring > section > a.navbar.docs-sourcelink .navbar-start > .navbar-item,
+      .navbar.is-primary .navbar-start .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link,
+      .navbar.is-primary .navbar-end > .navbar-item,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > .navbar-item,
+      .navbar.is-primary .navbar-end .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-primary .navbar-start > a.navbar-item:focus, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:focus, .navbar.is-primary .navbar-start > a.navbar-item:hover, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:hover, .navbar.is-primary .navbar-start > a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item.is-active,
+      .navbar.is-primary .navbar-start .navbar-link:focus,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:focus,
+      .navbar.is-primary .navbar-start .navbar-link:hover,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:hover,
+      .navbar.is-primary .navbar-start .navbar-link.is-active,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link.is-active,
+      .navbar.is-primary .navbar-end > a.navbar-item:focus,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:focus,
+      .navbar.is-primary .navbar-end > a.navbar-item:hover,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:hover,
+      .navbar.is-primary .navbar-end > a.navbar-item.is-active,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item.is-active,
+      .navbar.is-primary .navbar-end .navbar-link:focus,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:focus,
+      .navbar.is-primary .navbar-end .navbar-link:hover,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:hover,
+      .navbar.is-primary .navbar-end .navbar-link.is-active,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link.is-active {
+        background-color: #39acda;
+        color: #fff; }
+      .navbar.is-primary .navbar-start .navbar-link::after, .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link::after,
+      .navbar.is-primary .navbar-end .navbar-link::after,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-primary .navbar-item.has-dropdown:focus .navbar-link, .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-primary .navbar-item.has-dropdown:hover .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-primary .navbar-item.has-dropdown.is-active .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #39acda;
+        color: #fff; }
+      .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active {
+        background-color: #4eb5de;
+        color: #fff; } }
+  .navbar.is-link {
+    background-color: #2e63b8;
+    color: #fff; }
+    .navbar.is-link .navbar-brand > .navbar-item,
+    .navbar.is-link .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-link .navbar-brand > a.navbar-item:focus, .navbar.is-link .navbar-brand > a.navbar-item:hover, .navbar.is-link .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-link .navbar-brand .navbar-link:focus,
+    .navbar.is-link .navbar-brand .navbar-link:hover,
+    .navbar.is-link .navbar-brand .navbar-link.is-active {
+      background-color: #2958a4;
+      color: #fff; }
+    .navbar.is-link .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-link .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-link .navbar-start > .navbar-item,
+      .navbar.is-link .navbar-start .navbar-link,
+      .navbar.is-link .navbar-end > .navbar-item,
+      .navbar.is-link .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-link .navbar-start > a.navbar-item:focus, .navbar.is-link .navbar-start > a.navbar-item:hover, .navbar.is-link .navbar-start > a.navbar-item.is-active,
+      .navbar.is-link .navbar-start .navbar-link:focus,
+      .navbar.is-link .navbar-start .navbar-link:hover,
+      .navbar.is-link .navbar-start .navbar-link.is-active,
+      .navbar.is-link .navbar-end > a.navbar-item:focus,
+      .navbar.is-link .navbar-end > a.navbar-item:hover,
+      .navbar.is-link .navbar-end > a.navbar-item.is-active,
+      .navbar.is-link .navbar-end .navbar-link:focus,
+      .navbar.is-link .navbar-end .navbar-link:hover,
+      .navbar.is-link .navbar-end .navbar-link.is-active {
+        background-color: #2958a4;
+        color: #fff; }
+      .navbar.is-link .navbar-start .navbar-link::after,
+      .navbar.is-link .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-link .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-link .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-link .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #2958a4;
+        color: #fff; }
+      .navbar.is-link .navbar-dropdown a.navbar-item.is-active {
+        background-color: #2e63b8;
+        color: #fff; } }
+  .navbar.is-info {
+    background-color: #209cee;
+    color: #fff; }
+    .navbar.is-info .navbar-brand > .navbar-item,
+    .navbar.is-info .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-info .navbar-brand > a.navbar-item:focus, .navbar.is-info .navbar-brand > a.navbar-item:hover, .navbar.is-info .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-info .navbar-brand .navbar-link:focus,
+    .navbar.is-info .navbar-brand .navbar-link:hover,
+    .navbar.is-info .navbar-brand .navbar-link.is-active {
+      background-color: #1190e3;
+      color: #fff; }
+    .navbar.is-info .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-info .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-info .navbar-start > .navbar-item,
+      .navbar.is-info .navbar-start .navbar-link,
+      .navbar.is-info .navbar-end > .navbar-item,
+      .navbar.is-info .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-info .navbar-start > a.navbar-item:focus, .navbar.is-info .navbar-start > a.navbar-item:hover, .navbar.is-info .navbar-start > a.navbar-item.is-active,
+      .navbar.is-info .navbar-start .navbar-link:focus,
+      .navbar.is-info .navbar-start .navbar-link:hover,
+      .navbar.is-info .navbar-start .navbar-link.is-active,
+      .navbar.is-info .navbar-end > a.navbar-item:focus,
+      .navbar.is-info .navbar-end > a.navbar-item:hover,
+      .navbar.is-info .navbar-end > a.navbar-item.is-active,
+      .navbar.is-info .navbar-end .navbar-link:focus,
+      .navbar.is-info .navbar-end .navbar-link:hover,
+      .navbar.is-info .navbar-end .navbar-link.is-active {
+        background-color: #1190e3;
+        color: #fff; }
+      .navbar.is-info .navbar-start .navbar-link::after,
+      .navbar.is-info .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-info .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-info .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-info .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #1190e3;
+        color: #fff; }
+      .navbar.is-info .navbar-dropdown a.navbar-item.is-active {
+        background-color: #209cee;
+        color: #fff; } }
+  .navbar.is-success {
+    background-color: #22c35b;
+    color: #fff; }
+    .navbar.is-success .navbar-brand > .navbar-item,
+    .navbar.is-success .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-success .navbar-brand > a.navbar-item:focus, .navbar.is-success .navbar-brand > a.navbar-item:hover, .navbar.is-success .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-success .navbar-brand .navbar-link:focus,
+    .navbar.is-success .navbar-brand .navbar-link:hover,
+    .navbar.is-success .navbar-brand .navbar-link.is-active {
+      background-color: #1ead51;
+      color: #fff; }
+    .navbar.is-success .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-success .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-success .navbar-start > .navbar-item,
+      .navbar.is-success .navbar-start .navbar-link,
+      .navbar.is-success .navbar-end > .navbar-item,
+      .navbar.is-success .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-success .navbar-start > a.navbar-item:focus, .navbar.is-success .navbar-start > a.navbar-item:hover, .navbar.is-success .navbar-start > a.navbar-item.is-active,
+      .navbar.is-success .navbar-start .navbar-link:focus,
+      .navbar.is-success .navbar-start .navbar-link:hover,
+      .navbar.is-success .navbar-start .navbar-link.is-active,
+      .navbar.is-success .navbar-end > a.navbar-item:focus,
+      .navbar.is-success .navbar-end > a.navbar-item:hover,
+      .navbar.is-success .navbar-end > a.navbar-item.is-active,
+      .navbar.is-success .navbar-end .navbar-link:focus,
+      .navbar.is-success .navbar-end .navbar-link:hover,
+      .navbar.is-success .navbar-end .navbar-link.is-active {
+        background-color: #1ead51;
+        color: #fff; }
+      .navbar.is-success .navbar-start .navbar-link::after,
+      .navbar.is-success .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-success .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-success .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-success .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #1ead51;
+        color: #fff; }
+      .navbar.is-success .navbar-dropdown a.navbar-item.is-active {
+        background-color: #22c35b;
+        color: #fff; } }
+  .navbar.is-warning {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-brand > .navbar-item,
+    .navbar.is-warning .navbar-brand .navbar-link {
+      color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-brand > a.navbar-item:focus, .navbar.is-warning .navbar-brand > a.navbar-item:hover, .navbar.is-warning .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-warning .navbar-brand .navbar-link:focus,
+    .navbar.is-warning .navbar-brand .navbar-link:hover,
+    .navbar.is-warning .navbar-brand .navbar-link.is-active {
+      background-color: #ffd83e;
+      color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-brand .navbar-link::after {
+      border-color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-burger {
+      color: rgba(0, 0, 0, 0.7); }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-warning .navbar-start > .navbar-item,
+      .navbar.is-warning .navbar-start .navbar-link,
+      .navbar.is-warning .navbar-end > .navbar-item,
+      .navbar.is-warning .navbar-end .navbar-link {
+        color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-start > a.navbar-item:focus, .navbar.is-warning .navbar-start > a.navbar-item:hover, .navbar.is-warning .navbar-start > a.navbar-item.is-active,
+      .navbar.is-warning .navbar-start .navbar-link:focus,
+      .navbar.is-warning .navbar-start .navbar-link:hover,
+      .navbar.is-warning .navbar-start .navbar-link.is-active,
+      .navbar.is-warning .navbar-end > a.navbar-item:focus,
+      .navbar.is-warning .navbar-end > a.navbar-item:hover,
+      .navbar.is-warning .navbar-end > a.navbar-item.is-active,
+      .navbar.is-warning .navbar-end .navbar-link:focus,
+      .navbar.is-warning .navbar-end .navbar-link:hover,
+      .navbar.is-warning .navbar-end .navbar-link.is-active {
+        background-color: #ffd83e;
+        color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-start .navbar-link::after,
+      .navbar.is-warning .navbar-end .navbar-link::after {
+        border-color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-warning .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-warning .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #ffd83e;
+        color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-dropdown a.navbar-item.is-active {
+        background-color: #ffdd57;
+        color: rgba(0, 0, 0, 0.7); } }
+  .navbar.is-danger {
+    background-color: #da0b00;
+    color: #fff; }
+    .navbar.is-danger .navbar-brand > .navbar-item,
+    .navbar.is-danger .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-danger .navbar-brand > a.navbar-item:focus, .navbar.is-danger .navbar-brand > a.navbar-item:hover, .navbar.is-danger .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-danger .navbar-brand .navbar-link:focus,
+    .navbar.is-danger .navbar-brand .navbar-link:hover,
+    .navbar.is-danger .navbar-brand .navbar-link.is-active {
+      background-color: #c10a00;
+      color: #fff; }
+    .navbar.is-danger .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-danger .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-danger .navbar-start > .navbar-item,
+      .navbar.is-danger .navbar-start .navbar-link,
+      .navbar.is-danger .navbar-end > .navbar-item,
+      .navbar.is-danger .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-danger .navbar-start > a.navbar-item:focus, .navbar.is-danger .navbar-start > a.navbar-item:hover, .navbar.is-danger .navbar-start > a.navbar-item.is-active,
+      .navbar.is-danger .navbar-start .navbar-link:focus,
+      .navbar.is-danger .navbar-start .navbar-link:hover,
+      .navbar.is-danger .navbar-start .navbar-link.is-active,
+      .navbar.is-danger .navbar-end > a.navbar-item:focus,
+      .navbar.is-danger .navbar-end > a.navbar-item:hover,
+      .navbar.is-danger .navbar-end > a.navbar-item.is-active,
+      .navbar.is-danger .navbar-end .navbar-link:focus,
+      .navbar.is-danger .navbar-end .navbar-link:hover,
+      .navbar.is-danger .navbar-end .navbar-link.is-active {
+        background-color: #c10a00;
+        color: #fff; }
+      .navbar.is-danger .navbar-start .navbar-link::after,
+      .navbar.is-danger .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-danger .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-danger .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-danger .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #c10a00;
+        color: #fff; }
+      .navbar.is-danger .navbar-dropdown a.navbar-item.is-active {
+        background-color: #da0b00;
+        color: #fff; } }
+  .navbar > .container {
+    align-items: stretch;
+    display: flex;
+    min-height: 3.25rem;
+    width: 100%; }
+  .navbar.has-shadow {
+    box-shadow: 0 2px 0 0 whitesmoke; }
+  .navbar.is-fixed-bottom, .navbar.is-fixed-top {
+    left: 0;
+    position: fixed;
+    right: 0;
+    z-index: 30; }
+  .navbar.is-fixed-bottom {
+    bottom: 0; }
+    .navbar.is-fixed-bottom.has-shadow {
+      box-shadow: 0 -2px 0 0 whitesmoke; }
+  .navbar.is-fixed-top {
+    top: 0; }
+
+html.has-navbar-fixed-top,
+body.has-navbar-fixed-top {
+  padding-top: 3.25rem; }
+
+html.has-navbar-fixed-bottom,
+body.has-navbar-fixed-bottom {
+  padding-bottom: 3.25rem; }
+
+.navbar-brand,
+.navbar-tabs {
+  align-items: stretch;
+  display: flex;
+  flex-shrink: 0;
+  min-height: 3.25rem; }
+
+.navbar-brand a.navbar-item:focus, .navbar-brand a.navbar-item:hover {
+  background-color: transparent; }
+
+.navbar-tabs {
+  -webkit-overflow-scrolling: touch;
+  max-width: 100vw;
+  overflow-x: auto;
+  overflow-y: hidden; }
+
+.navbar-burger {
+  color: #4a4a4a;
+  cursor: pointer;
+  display: block;
+  height: 3.25rem;
+  position: relative;
+  width: 3.25rem;
+  margin-left: auto; }
+  .navbar-burger span {
+    background-color: currentColor;
+    display: block;
+    height: 1px;
+    left: calc(50% - 8px);
+    position: absolute;
+    transform-origin: center;
+    transition-duration: 86ms;
+    transition-property: background-color, opacity, transform;
+    transition-timing-function: ease-out;
+    width: 16px; }
+    .navbar-burger span:nth-child(1) {
+      top: calc(50% - 6px); }
+    .navbar-burger span:nth-child(2) {
+      top: calc(50% - 1px); }
+    .navbar-burger span:nth-child(3) {
+      top: calc(50% + 4px); }
+  .navbar-burger:hover {
+    background-color: rgba(0, 0, 0, 0.05); }
+  .navbar-burger.is-active span:nth-child(1) {
+    transform: translateY(5px) rotate(45deg); }
+  .navbar-burger.is-active span:nth-child(2) {
+    opacity: 0; }
+  .navbar-burger.is-active span:nth-child(3) {
+    transform: translateY(-5px) rotate(-45deg); }
+
+.navbar-menu {
+  display: none; }
+
+.navbar-item,
+.navbar-link {
+  color: #4a4a4a;
+  display: block;
+  line-height: 1.5;
+  padding: 0.5rem 0.75rem;
+  position: relative; }
+  .navbar-item .icon:only-child,
+  .navbar-link .icon:only-child {
+    margin-left: -0.25rem;
+    margin-right: -0.25rem; }
+
+a.navbar-item,
+.navbar-link {
+  cursor: pointer; }
+  a.navbar-item:focus, a.navbar-item:focus-within, a.navbar-item:hover, a.navbar-item.is-active,
+  .navbar-link:focus,
+  .navbar-link:focus-within,
+  .navbar-link:hover,
+  .navbar-link.is-active {
+    background-color: #fafafa;
+    color: #2e63b8; }
+
+.navbar-item {
+  display: block;
+  flex-grow: 0;
+  flex-shrink: 0; }
+  .navbar-item img {
+    max-height: 1.75rem; }
+  .navbar-item.has-dropdown {
+    padding: 0; }
+  .navbar-item.is-expanded {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .navbar-item.is-tab {
+    border-bottom: 1px solid transparent;
+    min-height: 3.25rem;
+    padding-bottom: calc(0.5rem - 1px); }
+    .navbar-item.is-tab:focus, .navbar-item.is-tab:hover {
+      background-color: transparent;
+      border-bottom-color: #2e63b8; }
+    .navbar-item.is-tab.is-active {
+      background-color: transparent;
+      border-bottom-color: #2e63b8;
+      border-bottom-style: solid;
+      border-bottom-width: 3px;
+      color: #2e63b8;
+      padding-bottom: calc(0.5rem - 3px); }
+
+.navbar-content {
+  flex-grow: 1;
+  flex-shrink: 1; }
+
+.navbar-link:not(.is-arrowless) {
+  padding-right: 2.5em; }
+  .navbar-link:not(.is-arrowless)::after {
+    border-color: #2e63b8;
+    margin-top: -0.375em;
+    right: 1.125em; }
+
+.navbar-dropdown {
+  font-size: 0.875rem;
+  padding-bottom: 0.5rem;
+  padding-top: 0.5rem; }
+  .navbar-dropdown .navbar-item {
+    padding-left: 1.5rem;
+    padding-right: 1.5rem; }
+
+.navbar-divider {
+  background-color: whitesmoke;
+  border: none;
+  display: none;
+  height: 2px;
+  margin: 0.5rem 0; }
+
+@media screen and (max-width: 1055px) {
+  .navbar > .container {
+    display: block; }
+  .navbar-brand .navbar-item,
+  .navbar-tabs .navbar-item {
+    align-items: center;
+    display: flex; }
+  .navbar-link::after {
+    display: none; }
+  .navbar-menu {
+    background-color: white;
+    box-shadow: 0 8px 16px rgba(10, 10, 10, 0.1);
+    padding: 0.5rem 0; }
+    .navbar-menu.is-active {
+      display: block; }
+  .navbar.is-fixed-bottom-touch, .navbar.is-fixed-top-touch {
+    left: 0;
+    position: fixed;
+    right: 0;
+    z-index: 30; }
+  .navbar.is-fixed-bottom-touch {
+    bottom: 0; }
+    .navbar.is-fixed-bottom-touch.has-shadow {
+      box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+  .navbar.is-fixed-top-touch {
+    top: 0; }
+  .navbar.is-fixed-top .navbar-menu, .navbar.is-fixed-top-touch .navbar-menu {
+    -webkit-overflow-scrolling: touch;
+    max-height: calc(100vh - 3.25rem);
+    overflow: auto; }
+  html.has-navbar-fixed-top-touch,
+  body.has-navbar-fixed-top-touch {
+    padding-top: 3.25rem; }
+  html.has-navbar-fixed-bottom-touch,
+  body.has-navbar-fixed-bottom-touch {
+    padding-bottom: 3.25rem; } }
+
+@media screen and (min-width: 1056px) {
+  .navbar,
+  .navbar-menu,
+  .navbar-start,
+  .navbar-end {
+    align-items: stretch;
+    display: flex; }
+  .navbar {
+    min-height: 3.25rem; }
+    .navbar.is-spaced {
+      padding: 1rem 2rem; }
+      .navbar.is-spaced .navbar-start,
+      .navbar.is-spaced .navbar-end {
+        align-items: center; }
+      .navbar.is-spaced a.navbar-item,
+      .navbar.is-spaced .navbar-link {
+        border-radius: 4px; }
+    .navbar.is-transparent a.navbar-item:focus, .navbar.is-transparent a.navbar-item:hover, .navbar.is-transparent a.navbar-item.is-active,
+    .navbar.is-transparent .navbar-link:focus,
+    .navbar.is-transparent .navbar-link:hover,
+    .navbar.is-transparent .navbar-link.is-active {
+      background-color: transparent !important; }
+    .navbar.is-transparent .navbar-item.has-dropdown.is-active .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus-within .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:hover .navbar-link {
+      background-color: transparent !important; }
+    .navbar.is-transparent .navbar-dropdown a.navbar-item:focus, .navbar.is-transparent .navbar-dropdown a.navbar-item:hover {
+      background-color: whitesmoke;
+      color: #0a0a0a; }
+    .navbar.is-transparent .navbar-dropdown a.navbar-item.is-active {
+      background-color: whitesmoke;
+      color: #2e63b8; }
+  .navbar-burger {
+    display: none; }
+  .navbar-item,
+  .navbar-link {
+    align-items: center;
+    display: flex; }
+  .navbar-item {
+    display: flex; }
+    .navbar-item.has-dropdown {
+      align-items: stretch; }
+    .navbar-item.has-dropdown-up .navbar-link::after {
+      transform: rotate(135deg) translate(0.25em, -0.25em); }
+    .navbar-item.has-dropdown-up .navbar-dropdown {
+      border-bottom: 2px solid #dbdbdb;
+      border-radius: 6px 6px 0 0;
+      border-top: none;
+      bottom: 100%;
+      box-shadow: 0 -8px 8px rgba(10, 10, 10, 0.1);
+      top: auto; }
+    .navbar-item.is-active .navbar-dropdown, .navbar-item.is-hoverable:focus .navbar-dropdown, .navbar-item.is-hoverable:focus-within .navbar-dropdown, .navbar-item.is-hoverable:hover .navbar-dropdown {
+      display: block; }
+      .navbar.is-spaced .navbar-item.is-active .navbar-dropdown, .navbar-item.is-active .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:focus .navbar-dropdown, .navbar-item.is-hoverable:focus .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:focus-within .navbar-dropdown, .navbar-item.is-hoverable:focus-within .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:hover .navbar-dropdown, .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed {
+        opacity: 1;
+        pointer-events: auto;
+        transform: translateY(0); }
+  .navbar-menu {
+    flex-grow: 1;
+    flex-shrink: 0; }
+  .navbar-start {
+    justify-content: flex-start;
+    margin-right: auto; }
+  .navbar-end {
+    justify-content: flex-end;
+    margin-left: auto; }
+  .navbar-dropdown {
+    background-color: white;
+    border-bottom-left-radius: 6px;
+    border-bottom-right-radius: 6px;
+    border-top: 2px solid #dbdbdb;
+    box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1);
+    display: none;
+    font-size: 0.875rem;
+    left: 0;
+    min-width: 100%;
+    position: absolute;
+    top: 100%;
+    z-index: 20; }
+    .navbar-dropdown .navbar-item {
+      padding: 0.375rem 1rem;
+      white-space: nowrap; }
+    .navbar-dropdown a.navbar-item {
+      padding-right: 3rem; }
+      .navbar-dropdown a.navbar-item:focus, .navbar-dropdown a.navbar-item:hover {
+        background-color: whitesmoke;
+        color: #0a0a0a; }
+      .navbar-dropdown a.navbar-item.is-active {
+        background-color: whitesmoke;
+        color: #2e63b8; }
+    .navbar.is-spaced .navbar-dropdown, .navbar-dropdown.is-boxed {
+      border-radius: 6px;
+      border-top: none;
+      box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+      display: block;
+      opacity: 0;
+      pointer-events: none;
+      top: calc(100% + (-4px));
+      transform: translateY(-5px);
+      transition-duration: 86ms;
+      transition-property: opacity, transform; }
+    .navbar-dropdown.is-right {
+      left: auto;
+      right: 0; }
+  .navbar-divider {
+    display: block; }
+  .navbar > .container .navbar-brand,
+  .container > .navbar .navbar-brand {
+    margin-left: -.75rem; }
+  .navbar > .container .navbar-menu,
+  .container > .navbar .navbar-menu {
+    margin-right: -.75rem; }
+  .navbar.is-fixed-bottom-desktop, .navbar.is-fixed-top-desktop {
+    left: 0;
+    position: fixed;
+    right: 0;
+    z-index: 30; }
+  .navbar.is-fixed-bottom-desktop {
+    bottom: 0; }
+    .navbar.is-fixed-bottom-desktop.has-shadow {
+      box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+  .navbar.is-fixed-top-desktop {
+    top: 0; }
+  html.has-navbar-fixed-top-desktop,
+  body.has-navbar-fixed-top-desktop {
+    padding-top: 3.25rem; }
+  html.has-navbar-fixed-bottom-desktop,
+  body.has-navbar-fixed-bottom-desktop {
+    padding-bottom: 3.25rem; }
+  html.has-spaced-navbar-fixed-top,
+  body.has-spaced-navbar-fixed-top {
+    padding-top: 5.25rem; }
+  html.has-spaced-navbar-fixed-bottom,
+  body.has-spaced-navbar-fixed-bottom {
+    padding-bottom: 5.25rem; }
+  a.navbar-item.is-active,
+  .navbar-link.is-active {
+    color: #0a0a0a; }
+  a.navbar-item.is-active:not(:focus):not(:hover),
+  .navbar-link.is-active:not(:focus):not(:hover) {
+    background-color: transparent; }
+  .navbar-item.has-dropdown:focus .navbar-link, .navbar-item.has-dropdown:hover .navbar-link, .navbar-item.has-dropdown.is-active .navbar-link {
+    background-color: #fafafa; } }
+
+.hero.is-fullheight-with-navbar {
+  min-height: calc(100vh - 3.25rem); }
+
+.pagination {
+  font-size: 1rem;
+  margin: -0.25rem; }
+  .pagination.is-small, #documenter .docs-sidebar form.docs-search > input.pagination {
+    font-size: 0.75rem; }
+  .pagination.is-medium {
+    font-size: 1.25rem; }
+  .pagination.is-large {
+    font-size: 1.5rem; }
+  .pagination.is-rounded .pagination-previous, #documenter .docs-sidebar form.docs-search > input.pagination .pagination-previous,
+  .pagination.is-rounded .pagination-next,
+  #documenter .docs-sidebar form.docs-search > input.pagination .pagination-next {
+    padding-left: 1em;
+    padding-right: 1em;
+    border-radius: 290486px; }
+  .pagination.is-rounded .pagination-link, #documenter .docs-sidebar form.docs-search > input.pagination .pagination-link {
+    border-radius: 290486px; }
+
+.pagination,
+.pagination-list {
+  align-items: center;
+  display: flex;
+  justify-content: center;
+  text-align: center; }
+
+.pagination-previous,
+.pagination-next,
+.pagination-link,
+.pagination-ellipsis {
+  font-size: 1em;
+  justify-content: center;
+  margin: 0.25rem;
+  padding-left: 0.5em;
+  padding-right: 0.5em;
+  text-align: center; }
+
+.pagination-previous,
+.pagination-next,
+.pagination-link {
+  border-color: #dbdbdb;
+  color: #363636;
+  min-width: 2.25em; }
+  .pagination-previous:hover,
+  .pagination-next:hover,
+  .pagination-link:hover {
+    border-color: #b5b5b5;
+    color: #363636; }
+  .pagination-previous:focus,
+  .pagination-next:focus,
+  .pagination-link:focus {
+    border-color: #3c5dcd; }
+  .pagination-previous:active,
+  .pagination-next:active,
+  .pagination-link:active {
+    box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2); }
+  .pagination-previous[disabled],
+  .pagination-next[disabled],
+  .pagination-link[disabled] {
+    background-color: #dbdbdb;
+    border-color: #dbdbdb;
+    box-shadow: none;
+    color: #6b6b6b;
+    opacity: 0.5; }
+
+.pagination-previous,
+.pagination-next {
+  padding-left: 0.75em;
+  padding-right: 0.75em;
+  white-space: nowrap; }
+
+.pagination-link.is-current {
+  background-color: #2e63b8;
+  border-color: #2e63b8;
+  color: #fff; }
+
+.pagination-ellipsis {
+  color: #b5b5b5;
+  pointer-events: none; }
+
+.pagination-list {
+  flex-wrap: wrap; }
+
+@media screen and (max-width: 768px) {
+  .pagination {
+    flex-wrap: wrap; }
+  .pagination-previous,
+  .pagination-next {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .pagination-list li {
+    flex-grow: 1;
+    flex-shrink: 1; } }
+
+@media screen and (min-width: 769px), print {
+  .pagination-list {
+    flex-grow: 1;
+    flex-shrink: 1;
+    justify-content: flex-start;
+    order: 1; }
+  .pagination-previous {
+    order: 2; }
+  .pagination-next {
+    order: 3; }
+  .pagination {
+    justify-content: space-between; }
+    .pagination.is-centered .pagination-previous {
+      order: 1; }
+    .pagination.is-centered .pagination-list {
+      justify-content: center;
+      order: 2; }
+    .pagination.is-centered .pagination-next {
+      order: 3; }
+    .pagination.is-right .pagination-previous {
+      order: 1; }
+    .pagination.is-right .pagination-next {
+      order: 2; }
+    .pagination.is-right .pagination-list {
+      justify-content: flex-end;
+      order: 3; } }
+
+.panel {
+  font-size: 1rem; }
+  .panel:not(:last-child) {
+    margin-bottom: 1.5rem; }
+
+.panel-heading,
+.panel-tabs,
+.panel-block {
+  border-bottom: 1px solid #dbdbdb;
+  border-left: 1px solid #dbdbdb;
+  border-right: 1px solid #dbdbdb; }
+  .panel-heading:first-child,
+  .panel-tabs:first-child,
+  .panel-block:first-child {
+    border-top: 1px solid #dbdbdb; }
+
+.panel-heading {
+  background-color: whitesmoke;
+  border-radius: 4px 4px 0 0;
+  color: #222222;
+  font-size: 1.25em;
+  font-weight: 300;
+  line-height: 1.25;
+  padding: 0.5em 0.75em; }
+
+.panel-tabs {
+  align-items: flex-end;
+  display: flex;
+  font-size: 0.875em;
+  justify-content: center; }
+  .panel-tabs a {
+    border-bottom: 1px solid #dbdbdb;
+    margin-bottom: -1px;
+    padding: 0.5em; }
+    .panel-tabs a.is-active {
+      border-bottom-color: #4a4a4a;
+      color: #363636; }
+
+.panel-list a {
+  color: #222222; }
+  .panel-list a:hover {
+    color: #2e63b8; }
+
+.panel-block {
+  align-items: center;
+  color: #222222;
+  display: flex;
+  justify-content: flex-start;
+  padding: 0.5em 0.75em; }
+  .panel-block input[type="checkbox"] {
+    margin-right: 0.75em; }
+  .panel-block > .control {
+    flex-grow: 1;
+    flex-shrink: 1;
+    width: 100%; }
+  .panel-block.is-wrapped {
+    flex-wrap: wrap; }
+  .panel-block.is-active {
+    border-left-color: #2e63b8;
+    color: #363636; }
+    .panel-block.is-active .panel-icon {
+      color: #2e63b8; }
+
+a.panel-block,
+label.panel-block {
+  cursor: pointer; }
+  a.panel-block:hover,
+  label.panel-block:hover {
+    background-color: whitesmoke; }
+
+.panel-icon {
+  display: inline-block;
+  font-size: 14px;
+  height: 1em;
+  line-height: 1em;
+  text-align: center;
+  vertical-align: top;
+  width: 1em;
+  color: #6b6b6b;
+  margin-right: 0.75em; }
+  .panel-icon .fa {
+    font-size: inherit;
+    line-height: inherit; }
+
+.tabs {
+  -webkit-overflow-scrolling: touch;
+  align-items: stretch;
+  display: flex;
+  font-size: 1rem;
+  justify-content: space-between;
+  overflow: hidden;
+  overflow-x: auto;
+  white-space: nowrap; }
+  .tabs a {
+    align-items: center;
+    border-bottom-color: #dbdbdb;
+    border-bottom-style: solid;
+    border-bottom-width: 1px;
+    color: #222222;
+    display: flex;
+    justify-content: center;
+    margin-bottom: -1px;
+    padding: 0.5em 1em;
+    vertical-align: top; }
+    .tabs a:hover {
+      border-bottom-color: #222222;
+      color: #222222; }
+  .tabs li {
+    display: block; }
+    .tabs li.is-active a {
+      border-bottom-color: #2e63b8;
+      color: #2e63b8; }
+  .tabs ul {
+    align-items: center;
+    border-bottom-color: #dbdbdb;
+    border-bottom-style: solid;
+    border-bottom-width: 1px;
+    display: flex;
+    flex-grow: 1;
+    flex-shrink: 0;
+    justify-content: flex-start; }
+    .tabs ul.is-left {
+      padding-right: 0.75em; }
+    .tabs ul.is-center {
+      flex: none;
+      justify-content: center;
+      padding-left: 0.75em;
+      padding-right: 0.75em; }
+    .tabs ul.is-right {
+      justify-content: flex-end;
+      padding-left: 0.75em; }
+  .tabs .icon:first-child {
+    margin-right: 0.5em; }
+  .tabs .icon:last-child {
+    margin-left: 0.5em; }
+  .tabs.is-centered ul {
+    justify-content: center; }
+  .tabs.is-right ul {
+    justify-content: flex-end; }
+  .tabs.is-boxed a {
+    border: 1px solid transparent;
+    border-radius: 4px 4px 0 0; }
+    .tabs.is-boxed a:hover {
+      background-color: whitesmoke;
+      border-bottom-color: #dbdbdb; }
+  .tabs.is-boxed li.is-active a {
+    background-color: white;
+    border-color: #dbdbdb;
+    border-bottom-color: transparent !important; }
+  .tabs.is-fullwidth li {
+    flex-grow: 1;
+    flex-shrink: 0; }
+  .tabs.is-toggle a {
+    border-color: #dbdbdb;
+    border-style: solid;
+    border-width: 1px;
+    margin-bottom: 0;
+    position: relative; }
+    .tabs.is-toggle a:hover {
+      background-color: whitesmoke;
+      border-color: #b5b5b5;
+      z-index: 2; }
+  .tabs.is-toggle li + li {
+    margin-left: -1px; }
+  .tabs.is-toggle li:first-child a {
+    border-radius: 4px 0 0 4px; }
+  .tabs.is-toggle li:last-child a {
+    border-radius: 0 4px 4px 0; }
+  .tabs.is-toggle li.is-active a {
+    background-color: #2e63b8;
+    border-color: #2e63b8;
+    color: #fff;
+    z-index: 1; }
+  .tabs.is-toggle ul {
+    border-bottom: none; }
+  .tabs.is-toggle.is-toggle-rounded li:first-child a {
+    border-bottom-left-radius: 290486px;
+    border-top-left-radius: 290486px;
+    padding-left: 1.25em; }
+  .tabs.is-toggle.is-toggle-rounded li:last-child a {
+    border-bottom-right-radius: 290486px;
+    border-top-right-radius: 290486px;
+    padding-right: 1.25em; }
+  .tabs.is-small, #documenter .docs-sidebar form.docs-search > input.tabs {
+    font-size: 0.75rem; }
+  .tabs.is-medium {
+    font-size: 1.25rem; }
+  .tabs.is-large {
+    font-size: 1.5rem; }
+
+.column {
+  display: block;
+  flex-basis: 0;
+  flex-grow: 1;
+  flex-shrink: 1;
+  padding: 0.75rem; }
+  .columns.is-mobile > .column.is-narrow {
+    flex: none; }
+  .columns.is-mobile > .column.is-full {
+    flex: none;
+    width: 100%; }
+  .columns.is-mobile > .column.is-three-quarters {
+    flex: none;
+    width: 75%; }
+  .columns.is-mobile > .column.is-two-thirds {
+    flex: none;
+    width: 66.6666%; }
+  .columns.is-mobile > .column.is-half {
+    flex: none;
+    width: 50%; }
+  .columns.is-mobile > .column.is-one-third {
+    flex: none;
+    width: 33.3333%; }
+  .columns.is-mobile > .column.is-one-quarter {
+    flex: none;
+    width: 25%; }
+  .columns.is-mobile > .column.is-one-fifth {
+    flex: none;
+    width: 20%; }
+  .columns.is-mobile > .column.is-two-fifths {
+    flex: none;
+    width: 40%; }
+  .columns.is-mobile > .column.is-three-fifths {
+    flex: none;
+    width: 60%; }
+  .columns.is-mobile > .column.is-four-fifths {
+    flex: none;
+    width: 80%; }
+  .columns.is-mobile > .column.is-offset-three-quarters {
+    margin-left: 75%; }
+  .columns.is-mobile > .column.is-offset-two-thirds {
+    margin-left: 66.6666%; }
+  .columns.is-mobile > .column.is-offset-half {
+    margin-left: 50%; }
+  .columns.is-mobile > .column.is-offset-one-third {
+    margin-left: 33.3333%; }
+  .columns.is-mobile > .column.is-offset-one-quarter {
+    margin-left: 25%; }
+  .columns.is-mobile > .column.is-offset-one-fifth {
+    margin-left: 20%; }
+  .columns.is-mobile > .column.is-offset-two-fifths {
+    margin-left: 40%; }
+  .columns.is-mobile > .column.is-offset-three-fifths {
+    margin-left: 60%; }
+  .columns.is-mobile > .column.is-offset-four-fifths {
+    margin-left: 80%; }
+  .columns.is-mobile > .column.is-0 {
+    flex: none;
+    width: 0%; }
+  .columns.is-mobile > .column.is-offset-0 {
+    margin-left: 0%; }
+  .columns.is-mobile > .column.is-1 {
+    flex: none;
+    width: 8.3333333333%; }
+  .columns.is-mobile > .column.is-offset-1 {
+    margin-left: 8.3333333333%; }
+  .columns.is-mobile > .column.is-2 {
+    flex: none;
+    width: 16.6666666667%; }
+  .columns.is-mobile > .column.is-offset-2 {
+    margin-left: 16.6666666667%; }
+  .columns.is-mobile > .column.is-3 {
+    flex: none;
+    width: 25%; }
+  .columns.is-mobile > .column.is-offset-3 {
+    margin-left: 25%; }
+  .columns.is-mobile > .column.is-4 {
+    flex: none;
+    width: 33.3333333333%; }
+  .columns.is-mobile > .column.is-offset-4 {
+    margin-left: 33.3333333333%; }
+  .columns.is-mobile > .column.is-5 {
+    flex: none;
+    width: 41.6666666667%; }
+  .columns.is-mobile > .column.is-offset-5 {
+    margin-left: 41.6666666667%; }
+  .columns.is-mobile > .column.is-6 {
+    flex: none;
+    width: 50%; }
+  .columns.is-mobile > .column.is-offset-6 {
+    margin-left: 50%; }
+  .columns.is-mobile > .column.is-7 {
+    flex: none;
+    width: 58.3333333333%; }
+  .columns.is-mobile > .column.is-offset-7 {
+    margin-left: 58.3333333333%; }
+  .columns.is-mobile > .column.is-8 {
+    flex: none;
+    width: 66.6666666667%; }
+  .columns.is-mobile > .column.is-offset-8 {
+    margin-left: 66.6666666667%; }
+  .columns.is-mobile > .column.is-9 {
+    flex: none;
+    width: 75%; }
+  .columns.is-mobile > .column.is-offset-9 {
+    margin-left: 75%; }
+  .columns.is-mobile > .column.is-10 {
+    flex: none;
+    width: 83.3333333333%; }
+  .columns.is-mobile > .column.is-offset-10 {
+    margin-left: 83.3333333333%; }
+  .columns.is-mobile > .column.is-11 {
+    flex: none;
+    width: 91.6666666667%; }
+  .columns.is-mobile > .column.is-offset-11 {
+    margin-left: 91.6666666667%; }
+  .columns.is-mobile > .column.is-12 {
+    flex: none;
+    width: 100%; }
+  .columns.is-mobile > .column.is-offset-12 {
+    margin-left: 100%; }
+  @media screen and (max-width: 768px) {
+    .column.is-narrow-mobile {
+      flex: none; }
+    .column.is-full-mobile {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-mobile {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-mobile {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-mobile {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-mobile {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-mobile {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-mobile {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-mobile {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-mobile {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-mobile {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-mobile {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-mobile {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-mobile {
+      margin-left: 50%; }
+    .column.is-offset-one-third-mobile {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-mobile {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-mobile {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-mobile {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-mobile {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-mobile {
+      margin-left: 80%; }
+    .column.is-0-mobile {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-mobile {
+      margin-left: 0%; }
+    .column.is-1-mobile {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-mobile {
+      margin-left: 8.3333333333%; }
+    .column.is-2-mobile {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-mobile {
+      margin-left: 16.6666666667%; }
+    .column.is-3-mobile {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-mobile {
+      margin-left: 25%; }
+    .column.is-4-mobile {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-mobile {
+      margin-left: 33.3333333333%; }
+    .column.is-5-mobile {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-mobile {
+      margin-left: 41.6666666667%; }
+    .column.is-6-mobile {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-mobile {
+      margin-left: 50%; }
+    .column.is-7-mobile {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-mobile {
+      margin-left: 58.3333333333%; }
+    .column.is-8-mobile {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-mobile {
+      margin-left: 66.6666666667%; }
+    .column.is-9-mobile {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-mobile {
+      margin-left: 75%; }
+    .column.is-10-mobile {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-mobile {
+      margin-left: 83.3333333333%; }
+    .column.is-11-mobile {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-mobile {
+      margin-left: 91.6666666667%; }
+    .column.is-12-mobile {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-mobile {
+      margin-left: 100%; } }
+  @media screen and (min-width: 769px), print {
+    .column.is-narrow, .column.is-narrow-tablet {
+      flex: none; }
+    .column.is-full, .column.is-full-tablet {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters, .column.is-three-quarters-tablet {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds, .column.is-two-thirds-tablet {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half, .column.is-half-tablet {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third, .column.is-one-third-tablet {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter, .column.is-one-quarter-tablet {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth, .column.is-one-fifth-tablet {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths, .column.is-two-fifths-tablet {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths, .column.is-three-fifths-tablet {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths, .column.is-four-fifths-tablet {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters, .column.is-offset-three-quarters-tablet {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds, .column.is-offset-two-thirds-tablet {
+      margin-left: 66.6666%; }
+    .column.is-offset-half, .column.is-offset-half-tablet {
+      margin-left: 50%; }
+    .column.is-offset-one-third, .column.is-offset-one-third-tablet {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter, .column.is-offset-one-quarter-tablet {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth, .column.is-offset-one-fifth-tablet {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths, .column.is-offset-two-fifths-tablet {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths, .column.is-offset-three-fifths-tablet {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths, .column.is-offset-four-fifths-tablet {
+      margin-left: 80%; }
+    .column.is-0, .column.is-0-tablet {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0, .column.is-offset-0-tablet {
+      margin-left: 0%; }
+    .column.is-1, .column.is-1-tablet {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1, .column.is-offset-1-tablet {
+      margin-left: 8.3333333333%; }
+    .column.is-2, .column.is-2-tablet {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2, .column.is-offset-2-tablet {
+      margin-left: 16.6666666667%; }
+    .column.is-3, .column.is-3-tablet {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3, .column.is-offset-3-tablet {
+      margin-left: 25%; }
+    .column.is-4, .column.is-4-tablet {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4, .column.is-offset-4-tablet {
+      margin-left: 33.3333333333%; }
+    .column.is-5, .column.is-5-tablet {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5, .column.is-offset-5-tablet {
+      margin-left: 41.6666666667%; }
+    .column.is-6, .column.is-6-tablet {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6, .column.is-offset-6-tablet {
+      margin-left: 50%; }
+    .column.is-7, .column.is-7-tablet {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7, .column.is-offset-7-tablet {
+      margin-left: 58.3333333333%; }
+    .column.is-8, .column.is-8-tablet {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8, .column.is-offset-8-tablet {
+      margin-left: 66.6666666667%; }
+    .column.is-9, .column.is-9-tablet {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9, .column.is-offset-9-tablet {
+      margin-left: 75%; }
+    .column.is-10, .column.is-10-tablet {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10, .column.is-offset-10-tablet {
+      margin-left: 83.3333333333%; }
+    .column.is-11, .column.is-11-tablet {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11, .column.is-offset-11-tablet {
+      margin-left: 91.6666666667%; }
+    .column.is-12, .column.is-12-tablet {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12, .column.is-offset-12-tablet {
+      margin-left: 100%; } }
+  @media screen and (max-width: 1055px) {
+    .column.is-narrow-touch {
+      flex: none; }
+    .column.is-full-touch {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-touch {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-touch {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-touch {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-touch {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-touch {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-touch {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-touch {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-touch {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-touch {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-touch {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-touch {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-touch {
+      margin-left: 50%; }
+    .column.is-offset-one-third-touch {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-touch {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-touch {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-touch {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-touch {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-touch {
+      margin-left: 80%; }
+    .column.is-0-touch {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-touch {
+      margin-left: 0%; }
+    .column.is-1-touch {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-touch {
+      margin-left: 8.3333333333%; }
+    .column.is-2-touch {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-touch {
+      margin-left: 16.6666666667%; }
+    .column.is-3-touch {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-touch {
+      margin-left: 25%; }
+    .column.is-4-touch {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-touch {
+      margin-left: 33.3333333333%; }
+    .column.is-5-touch {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-touch {
+      margin-left: 41.6666666667%; }
+    .column.is-6-touch {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-touch {
+      margin-left: 50%; }
+    .column.is-7-touch {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-touch {
+      margin-left: 58.3333333333%; }
+    .column.is-8-touch {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-touch {
+      margin-left: 66.6666666667%; }
+    .column.is-9-touch {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-touch {
+      margin-left: 75%; }
+    .column.is-10-touch {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-touch {
+      margin-left: 83.3333333333%; }
+    .column.is-11-touch {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-touch {
+      margin-left: 91.6666666667%; }
+    .column.is-12-touch {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-touch {
+      margin-left: 100%; } }
+  @media screen and (min-width: 1056px) {
+    .column.is-narrow-desktop {
+      flex: none; }
+    .column.is-full-desktop {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-desktop {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-desktop {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-desktop {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-desktop {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-desktop {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-desktop {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-desktop {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-desktop {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-desktop {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-desktop {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-desktop {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-desktop {
+      margin-left: 50%; }
+    .column.is-offset-one-third-desktop {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-desktop {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-desktop {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-desktop {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-desktop {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-desktop {
+      margin-left: 80%; }
+    .column.is-0-desktop {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-desktop {
+      margin-left: 0%; }
+    .column.is-1-desktop {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-desktop {
+      margin-left: 8.3333333333%; }
+    .column.is-2-desktop {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-desktop {
+      margin-left: 16.6666666667%; }
+    .column.is-3-desktop {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-desktop {
+      margin-left: 25%; }
+    .column.is-4-desktop {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-desktop {
+      margin-left: 33.3333333333%; }
+    .column.is-5-desktop {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-desktop {
+      margin-left: 41.6666666667%; }
+    .column.is-6-desktop {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-desktop {
+      margin-left: 50%; }
+    .column.is-7-desktop {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-desktop {
+      margin-left: 58.3333333333%; }
+    .column.is-8-desktop {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-desktop {
+      margin-left: 66.6666666667%; }
+    .column.is-9-desktop {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-desktop {
+      margin-left: 75%; }
+    .column.is-10-desktop {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-desktop {
+      margin-left: 83.3333333333%; }
+    .column.is-11-desktop {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-desktop {
+      margin-left: 91.6666666667%; }
+    .column.is-12-desktop {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-desktop {
+      margin-left: 100%; } }
+  @media screen and (min-width: 1216px) {
+    .column.is-narrow-widescreen {
+      flex: none; }
+    .column.is-full-widescreen {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-widescreen {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-widescreen {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-widescreen {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-widescreen {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-widescreen {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-widescreen {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-widescreen {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-widescreen {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-widescreen {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-widescreen {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-widescreen {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-widescreen {
+      margin-left: 50%; }
+    .column.is-offset-one-third-widescreen {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-widescreen {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-widescreen {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-widescreen {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-widescreen {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-widescreen {
+      margin-left: 80%; }
+    .column.is-0-widescreen {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-widescreen {
+      margin-left: 0%; }
+    .column.is-1-widescreen {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-widescreen {
+      margin-left: 8.3333333333%; }
+    .column.is-2-widescreen {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-widescreen {
+      margin-left: 16.6666666667%; }
+    .column.is-3-widescreen {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-widescreen {
+      margin-left: 25%; }
+    .column.is-4-widescreen {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-widescreen {
+      margin-left: 33.3333333333%; }
+    .column.is-5-widescreen {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-widescreen {
+      margin-left: 41.6666666667%; }
+    .column.is-6-widescreen {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-widescreen {
+      margin-left: 50%; }
+    .column.is-7-widescreen {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-widescreen {
+      margin-left: 58.3333333333%; }
+    .column.is-8-widescreen {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-widescreen {
+      margin-left: 66.6666666667%; }
+    .column.is-9-widescreen {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-widescreen {
+      margin-left: 75%; }
+    .column.is-10-widescreen {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-widescreen {
+      margin-left: 83.3333333333%; }
+    .column.is-11-widescreen {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-widescreen {
+      margin-left: 91.6666666667%; }
+    .column.is-12-widescreen {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-widescreen {
+      margin-left: 100%; } }
+  @media screen and (min-width: 1408px) {
+    .column.is-narrow-fullhd {
+      flex: none; }
+    .column.is-full-fullhd {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-fullhd {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-fullhd {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-fullhd {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-fullhd {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-fullhd {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-fullhd {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-fullhd {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-fullhd {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-fullhd {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-fullhd {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-fullhd {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-fullhd {
+      margin-left: 50%; }
+    .column.is-offset-one-third-fullhd {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-fullhd {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-fullhd {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-fullhd {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-fullhd {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-fullhd {
+      margin-left: 80%; }
+    .column.is-0-fullhd {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-fullhd {
+      margin-left: 0%; }
+    .column.is-1-fullhd {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-fullhd {
+      margin-left: 8.3333333333%; }
+    .column.is-2-fullhd {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-fullhd {
+      margin-left: 16.6666666667%; }
+    .column.is-3-fullhd {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-fullhd {
+      margin-left: 25%; }
+    .column.is-4-fullhd {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-fullhd {
+      margin-left: 33.3333333333%; }
+    .column.is-5-fullhd {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-fullhd {
+      margin-left: 41.6666666667%; }
+    .column.is-6-fullhd {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-fullhd {
+      margin-left: 50%; }
+    .column.is-7-fullhd {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-fullhd {
+      margin-left: 58.3333333333%; }
+    .column.is-8-fullhd {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-fullhd {
+      margin-left: 66.6666666667%; }
+    .column.is-9-fullhd {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-fullhd {
+      margin-left: 75%; }
+    .column.is-10-fullhd {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-fullhd {
+      margin-left: 83.3333333333%; }
+    .column.is-11-fullhd {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-fullhd {
+      margin-left: 91.6666666667%; }
+    .column.is-12-fullhd {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-fullhd {
+      margin-left: 100%; } }
+.columns {
+  margin-left: -0.75rem;
+  margin-right: -0.75rem;
+  margin-top: -0.75rem; }
+  .columns:last-child {
+    margin-bottom: -0.75rem; }
+  .columns:not(:last-child) {
+    margin-bottom: calc(1.5rem - 0.75rem); }
+  .columns.is-centered {
+    justify-content: center; }
+  .columns.is-gapless {
+    margin-left: 0;
+    margin-right: 0;
+    margin-top: 0; }
+    .columns.is-gapless > .column {
+      margin: 0;
+      padding: 0 !important; }
+    .columns.is-gapless:not(:last-child) {
+      margin-bottom: 1.5rem; }
+    .columns.is-gapless:last-child {
+      margin-bottom: 0; }
+  .columns.is-mobile {
+    display: flex; }
+  .columns.is-multiline {
+    flex-wrap: wrap; }
+  .columns.is-vcentered {
+    align-items: center; }
+  @media screen and (min-width: 769px), print {
+    .columns:not(.is-desktop) {
+      display: flex; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-desktop {
+      display: flex; } }
+.columns.is-variable {
+  --columnGap: 0.75rem;
+  margin-left: calc(-1 * var(--columnGap));
+  margin-right: calc(-1 * var(--columnGap)); }
+  .columns.is-variable .column {
+    padding-left: var(--columnGap);
+    padding-right: var(--columnGap); }
+  .columns.is-variable.is-0 {
+    --columnGap: 0rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-0-mobile {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-0-tablet {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-0-tablet-only {
+      --columnGap: 0rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-0-touch {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-0-desktop {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-0-desktop-only {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-0-widescreen {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-0-widescreen-only {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-0-fullhd {
+      --columnGap: 0rem; } }
+  .columns.is-variable.is-1 {
+    --columnGap: 0.25rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-1-mobile {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-1-tablet {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-1-tablet-only {
+      --columnGap: 0.25rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-1-touch {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-1-desktop {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-1-desktop-only {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-1-widescreen {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-1-widescreen-only {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-1-fullhd {
+      --columnGap: 0.25rem; } }
+  .columns.is-variable.is-2 {
+    --columnGap: 0.5rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-2-mobile {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-2-tablet {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-2-tablet-only {
+      --columnGap: 0.5rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-2-touch {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-2-desktop {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-2-desktop-only {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-2-widescreen {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-2-widescreen-only {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-2-fullhd {
+      --columnGap: 0.5rem; } }
+  .columns.is-variable.is-3 {
+    --columnGap: 0.75rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-3-mobile {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-3-tablet {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-3-tablet-only {
+      --columnGap: 0.75rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-3-touch {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-3-desktop {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-3-desktop-only {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-3-widescreen {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-3-widescreen-only {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-3-fullhd {
+      --columnGap: 0.75rem; } }
+  .columns.is-variable.is-4 {
+    --columnGap: 1rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-4-mobile {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-4-tablet {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-4-tablet-only {
+      --columnGap: 1rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-4-touch {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-4-desktop {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-4-desktop-only {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-4-widescreen {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-4-widescreen-only {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-4-fullhd {
+      --columnGap: 1rem; } }
+  .columns.is-variable.is-5 {
+    --columnGap: 1.25rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-5-mobile {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-5-tablet {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-5-tablet-only {
+      --columnGap: 1.25rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-5-touch {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-5-desktop {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-5-desktop-only {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-5-widescreen {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-5-widescreen-only {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-5-fullhd {
+      --columnGap: 1.25rem; } }
+  .columns.is-variable.is-6 {
+    --columnGap: 1.5rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-6-mobile {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-6-tablet {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-6-tablet-only {
+      --columnGap: 1.5rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-6-touch {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-6-desktop {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-6-desktop-only {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-6-widescreen {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-6-widescreen-only {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-6-fullhd {
+      --columnGap: 1.5rem; } }
+  .columns.is-variable.is-7 {
+    --columnGap: 1.75rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-7-mobile {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-7-tablet {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-7-tablet-only {
+      --columnGap: 1.75rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-7-touch {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-7-desktop {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-7-desktop-only {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-7-widescreen {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-7-widescreen-only {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-7-fullhd {
+      --columnGap: 1.75rem; } }
+  .columns.is-variable.is-8 {
+    --columnGap: 2rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-8-mobile {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-8-tablet {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-8-tablet-only {
+      --columnGap: 2rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-8-touch {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-8-desktop {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-8-desktop-only {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-8-widescreen {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-8-widescreen-only {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-8-fullhd {
+      --columnGap: 2rem; } }
+.tile {
+  align-items: stretch;
+  display: block;
+  flex-basis: 0;
+  flex-grow: 1;
+  flex-shrink: 1;
+  min-height: min-content; }
+  .tile.is-ancestor {
+    margin-left: -0.75rem;
+    margin-right: -0.75rem;
+    margin-top: -0.75rem; }
+    .tile.is-ancestor:last-child {
+      margin-bottom: -0.75rem; }
+    .tile.is-ancestor:not(:last-child) {
+      margin-bottom: 0.75rem; }
+  .tile.is-child {
+    margin: 0 !important; }
+  .tile.is-parent {
+    padding: 0.75rem; }
+  .tile.is-vertical {
+    flex-direction: column; }
+    .tile.is-vertical > .tile.is-child:not(:last-child) {
+      margin-bottom: 1.5rem !important; }
+  @media screen and (min-width: 769px), print {
+    .tile:not(.is-child) {
+      display: flex; }
+    .tile.is-1 {
+      flex: none;
+      width: 8.3333333333%; }
+    .tile.is-2 {
+      flex: none;
+      width: 16.6666666667%; }
+    .tile.is-3 {
+      flex: none;
+      width: 25%; }
+    .tile.is-4 {
+      flex: none;
+      width: 33.3333333333%; }
+    .tile.is-5 {
+      flex: none;
+      width: 41.6666666667%; }
+    .tile.is-6 {
+      flex: none;
+      width: 50%; }
+    .tile.is-7 {
+      flex: none;
+      width: 58.3333333333%; }
+    .tile.is-8 {
+      flex: none;
+      width: 66.6666666667%; }
+    .tile.is-9 {
+      flex: none;
+      width: 75%; }
+    .tile.is-10 {
+      flex: none;
+      width: 83.3333333333%; }
+    .tile.is-11 {
+      flex: none;
+      width: 91.6666666667%; }
+    .tile.is-12 {
+      flex: none;
+      width: 100%; } }
+.hero {
+  align-items: stretch;
+  display: flex;
+  flex-direction: column;
+  justify-content: space-between; }
+  .hero .navbar {
+    background: none; }
+  .hero .tabs ul {
+    border-bottom: none; }
+  .hero.is-white {
+    background-color: white;
+    color: #0a0a0a; }
+    .hero.is-white a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-white strong {
+      color: inherit; }
+    .hero.is-white .title {
+      color: #0a0a0a; }
+    .hero.is-white .subtitle {
+      color: rgba(10, 10, 10, 0.9); }
+      .hero.is-white .subtitle a:not(.button),
+      .hero.is-white .subtitle strong {
+        color: #0a0a0a; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-white .navbar-menu {
+        background-color: white; } }
+    .hero.is-white .navbar-item,
+    .hero.is-white .navbar-link {
+      color: rgba(10, 10, 10, 0.7); }
+    .hero.is-white a.navbar-item:hover, .hero.is-white a.navbar-item.is-active,
+    .hero.is-white .navbar-link:hover,
+    .hero.is-white .navbar-link.is-active {
+      background-color: #f2f2f2;
+      color: #0a0a0a; }
+    .hero.is-white .tabs a {
+      color: #0a0a0a;
+      opacity: 0.9; }
+      .hero.is-white .tabs a:hover {
+        opacity: 1; }
+    .hero.is-white .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-white .tabs.is-boxed a, .hero.is-white .tabs.is-toggle a {
+      color: #0a0a0a; }
+      .hero.is-white .tabs.is-boxed a:hover, .hero.is-white .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-white .tabs.is-boxed li.is-active a, .hero.is-white .tabs.is-boxed li.is-active a:hover, .hero.is-white .tabs.is-toggle li.is-active a, .hero.is-white .tabs.is-toggle li.is-active a:hover {
+      background-color: #0a0a0a;
+      border-color: #0a0a0a;
+      color: white; }
+    .hero.is-white.is-bold {
+      background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-white.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); } }
+  .hero.is-black {
+    background-color: #0a0a0a;
+    color: white; }
+    .hero.is-black a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-black strong {
+      color: inherit; }
+    .hero.is-black .title {
+      color: white; }
+    .hero.is-black .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-black .subtitle a:not(.button),
+      .hero.is-black .subtitle strong {
+        color: white; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-black .navbar-menu {
+        background-color: #0a0a0a; } }
+    .hero.is-black .navbar-item,
+    .hero.is-black .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-black a.navbar-item:hover, .hero.is-black a.navbar-item.is-active,
+    .hero.is-black .navbar-link:hover,
+    .hero.is-black .navbar-link.is-active {
+      background-color: black;
+      color: white; }
+    .hero.is-black .tabs a {
+      color: white;
+      opacity: 0.9; }
+      .hero.is-black .tabs a:hover {
+        opacity: 1; }
+    .hero.is-black .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-black .tabs.is-boxed a, .hero.is-black .tabs.is-toggle a {
+      color: white; }
+      .hero.is-black .tabs.is-boxed a:hover, .hero.is-black .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-black .tabs.is-boxed li.is-active a, .hero.is-black .tabs.is-boxed li.is-active a:hover, .hero.is-black .tabs.is-toggle li.is-active a, .hero.is-black .tabs.is-toggle li.is-active a:hover {
+      background-color: white;
+      border-color: white;
+      color: #0a0a0a; }
+    .hero.is-black.is-bold {
+      background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-black.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } }
+  .hero.is-light {
+    background-color: whitesmoke;
+    color: #363636; }
+    .hero.is-light a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-light strong {
+      color: inherit; }
+    .hero.is-light .title {
+      color: #363636; }
+    .hero.is-light .subtitle {
+      color: rgba(54, 54, 54, 0.9); }
+      .hero.is-light .subtitle a:not(.button),
+      .hero.is-light .subtitle strong {
+        color: #363636; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-light .navbar-menu {
+        background-color: whitesmoke; } }
+    .hero.is-light .navbar-item,
+    .hero.is-light .navbar-link {
+      color: rgba(54, 54, 54, 0.7); }
+    .hero.is-light a.navbar-item:hover, .hero.is-light a.navbar-item.is-active,
+    .hero.is-light .navbar-link:hover,
+    .hero.is-light .navbar-link.is-active {
+      background-color: #e8e8e8;
+      color: #363636; }
+    .hero.is-light .tabs a {
+      color: #363636;
+      opacity: 0.9; }
+      .hero.is-light .tabs a:hover {
+        opacity: 1; }
+    .hero.is-light .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-light .tabs.is-boxed a, .hero.is-light .tabs.is-toggle a {
+      color: #363636; }
+      .hero.is-light .tabs.is-boxed a:hover, .hero.is-light .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-light .tabs.is-boxed li.is-active a, .hero.is-light .tabs.is-boxed li.is-active a:hover, .hero.is-light .tabs.is-toggle li.is-active a, .hero.is-light .tabs.is-toggle li.is-active a:hover {
+      background-color: #363636;
+      border-color: #363636;
+      color: whitesmoke; }
+    .hero.is-light.is-bold {
+      background-image: linear-gradient(141deg, #dfd8d9 0%, whitesmoke 71%, white 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-light.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #dfd8d9 0%, whitesmoke 71%, white 100%); } }
+  .hero.is-dark, .content kbd.hero {
+    background-color: #363636;
+    color: whitesmoke; }
+    .hero.is-dark a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), .content kbd.hero a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-dark strong,
+    .content kbd.hero strong {
+      color: inherit; }
+    .hero.is-dark .title, .content kbd.hero .title {
+      color: whitesmoke; }
+    .hero.is-dark .subtitle, .content kbd.hero .subtitle {
+      color: rgba(245, 245, 245, 0.9); }
+      .hero.is-dark .subtitle a:not(.button), .content kbd.hero .subtitle a:not(.button),
+      .hero.is-dark .subtitle strong,
+      .content kbd.hero .subtitle strong {
+        color: whitesmoke; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-dark .navbar-menu, .content kbd.hero .navbar-menu {
+        background-color: #363636; } }
+    .hero.is-dark .navbar-item, .content kbd.hero .navbar-item,
+    .hero.is-dark .navbar-link,
+    .content kbd.hero .navbar-link {
+      color: rgba(245, 245, 245, 0.7); }
+    .hero.is-dark a.navbar-item:hover, .content kbd.hero a.navbar-item:hover, .hero.is-dark a.navbar-item.is-active, .content kbd.hero a.navbar-item.is-active,
+    .hero.is-dark .navbar-link:hover,
+    .content kbd.hero .navbar-link:hover,
+    .hero.is-dark .navbar-link.is-active,
+    .content kbd.hero .navbar-link.is-active {
+      background-color: #292929;
+      color: whitesmoke; }
+    .hero.is-dark .tabs a, .content kbd.hero .tabs a {
+      color: whitesmoke;
+      opacity: 0.9; }
+      .hero.is-dark .tabs a:hover, .content kbd.hero .tabs a:hover {
+        opacity: 1; }
+    .hero.is-dark .tabs li.is-active a, .content kbd.hero .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-dark .tabs.is-boxed a, .content kbd.hero .tabs.is-boxed a, .hero.is-dark .tabs.is-toggle a, .content kbd.hero .tabs.is-toggle a {
+      color: whitesmoke; }
+      .hero.is-dark .tabs.is-boxed a:hover, .content kbd.hero .tabs.is-boxed a:hover, .hero.is-dark .tabs.is-toggle a:hover, .content kbd.hero .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-dark .tabs.is-boxed li.is-active a, .content kbd.hero .tabs.is-boxed li.is-active a, .hero.is-dark .tabs.is-boxed li.is-active a:hover, .hero.is-dark .tabs.is-toggle li.is-active a, .content kbd.hero .tabs.is-toggle li.is-active a, .hero.is-dark .tabs.is-toggle li.is-active a:hover {
+      background-color: whitesmoke;
+      border-color: whitesmoke;
+      color: #363636; }
+    .hero.is-dark.is-bold, .content kbd.hero.is-bold {
+      background-image: linear-gradient(141deg, #1f191a 0%, #363636 71%, #46403f 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-dark.is-bold .navbar-menu, .content kbd.hero.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #1f191a 0%, #363636 71%, #46403f 100%); } }
+  .hero.is-primary, .docstring > section > a.hero.docs-sourcelink {
+    background-color: #4eb5de;
+    color: #fff; }
+    .hero.is-primary a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), .docstring > section > a.hero.docs-sourcelink a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-primary strong,
+    .docstring > section > a.hero.docs-sourcelink strong {
+      color: inherit; }
+    .hero.is-primary .title, .docstring > section > a.hero.docs-sourcelink .title {
+      color: #fff; }
+    .hero.is-primary .subtitle, .docstring > section > a.hero.docs-sourcelink .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-primary .subtitle a:not(.button), .docstring > section > a.hero.docs-sourcelink .subtitle a:not(.button),
+      .hero.is-primary .subtitle strong,
+      .docstring > section > a.hero.docs-sourcelink .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-primary .navbar-menu, .docstring > section > a.hero.docs-sourcelink .navbar-menu {
+        background-color: #4eb5de; } }
+    .hero.is-primary .navbar-item, .docstring > section > a.hero.docs-sourcelink .navbar-item,
+    .hero.is-primary .navbar-link,
+    .docstring > section > a.hero.docs-sourcelink .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-primary a.navbar-item:hover, .docstring > section > a.hero.docs-sourcelink a.navbar-item:hover, .hero.is-primary a.navbar-item.is-active, .docstring > section > a.hero.docs-sourcelink a.navbar-item.is-active,
+    .hero.is-primary .navbar-link:hover,
+    .docstring > section > a.hero.docs-sourcelink .navbar-link:hover,
+    .hero.is-primary .navbar-link.is-active,
+    .docstring > section > a.hero.docs-sourcelink .navbar-link.is-active {
+      background-color: #39acda;
+      color: #fff; }
+    .hero.is-primary .tabs a, .docstring > section > a.hero.docs-sourcelink .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-primary .tabs a:hover, .docstring > section > a.hero.docs-sourcelink .tabs a:hover {
+        opacity: 1; }
+    .hero.is-primary .tabs li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-primary .tabs.is-boxed a, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a, .hero.is-primary .tabs.is-toggle a, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-primary .tabs.is-boxed a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a:hover, .hero.is-primary .tabs.is-toggle a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-primary .tabs.is-boxed li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a, .hero.is-primary .tabs.is-boxed li.is-active a:hover, .hero.is-primary .tabs.is-toggle li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a, .hero.is-primary .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #4eb5de; }
+    .hero.is-primary.is-bold, .docstring > section > a.hero.is-bold.docs-sourcelink {
+      background-image: linear-gradient(141deg, #1bc7de 0%, #4eb5de 71%, #5fa9e7 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-primary.is-bold .navbar-menu, .docstring > section > a.hero.is-bold.docs-sourcelink .navbar-menu {
+          background-image: linear-gradient(141deg, #1bc7de 0%, #4eb5de 71%, #5fa9e7 100%); } }
+  .hero.is-link {
+    background-color: #2e63b8;
+    color: #fff; }
+    .hero.is-link a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-link strong {
+      color: inherit; }
+    .hero.is-link .title {
+      color: #fff; }
+    .hero.is-link .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-link .subtitle a:not(.button),
+      .hero.is-link .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-link .navbar-menu {
+        background-color: #2e63b8; } }
+    .hero.is-link .navbar-item,
+    .hero.is-link .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-link a.navbar-item:hover, .hero.is-link a.navbar-item.is-active,
+    .hero.is-link .navbar-link:hover,
+    .hero.is-link .navbar-link.is-active {
+      background-color: #2958a4;
+      color: #fff; }
+    .hero.is-link .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-link .tabs a:hover {
+        opacity: 1; }
+    .hero.is-link .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-link .tabs.is-boxed a, .hero.is-link .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-link .tabs.is-boxed a:hover, .hero.is-link .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-link .tabs.is-boxed li.is-active a, .hero.is-link .tabs.is-boxed li.is-active a:hover, .hero.is-link .tabs.is-toggle li.is-active a, .hero.is-link .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #2e63b8; }
+    .hero.is-link.is-bold {
+      background-image: linear-gradient(141deg, #1b6098 0%, #2e63b8 71%, #2d51d2 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-link.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #1b6098 0%, #2e63b8 71%, #2d51d2 100%); } }
+  .hero.is-info {
+    background-color: #209cee;
+    color: #fff; }
+    .hero.is-info a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-info strong {
+      color: inherit; }
+    .hero.is-info .title {
+      color: #fff; }
+    .hero.is-info .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-info .subtitle a:not(.button),
+      .hero.is-info .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-info .navbar-menu {
+        background-color: #209cee; } }
+    .hero.is-info .navbar-item,
+    .hero.is-info .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-info a.navbar-item:hover, .hero.is-info a.navbar-item.is-active,
+    .hero.is-info .navbar-link:hover,
+    .hero.is-info .navbar-link.is-active {
+      background-color: #1190e3;
+      color: #fff; }
+    .hero.is-info .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-info .tabs a:hover {
+        opacity: 1; }
+    .hero.is-info .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-info .tabs.is-boxed a, .hero.is-info .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-info .tabs.is-boxed a:hover, .hero.is-info .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-info .tabs.is-boxed li.is-active a, .hero.is-info .tabs.is-boxed li.is-active a:hover, .hero.is-info .tabs.is-toggle li.is-active a, .hero.is-info .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #209cee; }
+    .hero.is-info.is-bold {
+      background-image: linear-gradient(141deg, #05a6d6 0%, #209cee 71%, #3287f5 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-info.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #05a6d6 0%, #209cee 71%, #3287f5 100%); } }
+  .hero.is-success {
+    background-color: #22c35b;
+    color: #fff; }
+    .hero.is-success a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-success strong {
+      color: inherit; }
+    .hero.is-success .title {
+      color: #fff; }
+    .hero.is-success .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-success .subtitle a:not(.button),
+      .hero.is-success .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-success .navbar-menu {
+        background-color: #22c35b; } }
+    .hero.is-success .navbar-item,
+    .hero.is-success .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-success a.navbar-item:hover, .hero.is-success a.navbar-item.is-active,
+    .hero.is-success .navbar-link:hover,
+    .hero.is-success .navbar-link.is-active {
+      background-color: #1ead51;
+      color: #fff; }
+    .hero.is-success .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-success .tabs a:hover {
+        opacity: 1; }
+    .hero.is-success .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-success .tabs.is-boxed a, .hero.is-success .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-success .tabs.is-boxed a:hover, .hero.is-success .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-success .tabs.is-boxed li.is-active a, .hero.is-success .tabs.is-boxed li.is-active a:hover, .hero.is-success .tabs.is-toggle li.is-active a, .hero.is-success .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #22c35b; }
+    .hero.is-success.is-bold {
+      background-image: linear-gradient(141deg, #12a02c 0%, #22c35b 71%, #1fdf83 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-success.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #12a02c 0%, #22c35b 71%, #1fdf83 100%); } }
+  .hero.is-warning {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-warning strong {
+      color: inherit; }
+    .hero.is-warning .title {
+      color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning .subtitle {
+      color: rgba(0, 0, 0, 0.9); }
+      .hero.is-warning .subtitle a:not(.button),
+      .hero.is-warning .subtitle strong {
+        color: rgba(0, 0, 0, 0.7); }
+    @media screen and (max-width: 1055px) {
+      .hero.is-warning .navbar-menu {
+        background-color: #ffdd57; } }
+    .hero.is-warning .navbar-item,
+    .hero.is-warning .navbar-link {
+      color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning a.navbar-item:hover, .hero.is-warning a.navbar-item.is-active,
+    .hero.is-warning .navbar-link:hover,
+    .hero.is-warning .navbar-link.is-active {
+      background-color: #ffd83e;
+      color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning .tabs a {
+      color: rgba(0, 0, 0, 0.7);
+      opacity: 0.9; }
+      .hero.is-warning .tabs a:hover {
+        opacity: 1; }
+    .hero.is-warning .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-warning .tabs.is-boxed a, .hero.is-warning .tabs.is-toggle a {
+      color: rgba(0, 0, 0, 0.7); }
+      .hero.is-warning .tabs.is-boxed a:hover, .hero.is-warning .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-warning .tabs.is-boxed li.is-active a, .hero.is-warning .tabs.is-boxed li.is-active a:hover, .hero.is-warning .tabs.is-toggle li.is-active a, .hero.is-warning .tabs.is-toggle li.is-active a:hover {
+      background-color: rgba(0, 0, 0, 0.7);
+      border-color: rgba(0, 0, 0, 0.7);
+      color: #ffdd57; }
+    .hero.is-warning.is-bold {
+      background-image: linear-gradient(141deg, #ffae24 0%, #ffdd57 71%, #fffa71 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-warning.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #ffae24 0%, #ffdd57 71%, #fffa71 100%); } }
+  .hero.is-danger {
+    background-color: #da0b00;
+    color: #fff; }
+    .hero.is-danger a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-danger strong {
+      color: inherit; }
+    .hero.is-danger .title {
+      color: #fff; }
+    .hero.is-danger .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-danger .subtitle a:not(.button),
+      .hero.is-danger .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-danger .navbar-menu {
+        background-color: #da0b00; } }
+    .hero.is-danger .navbar-item,
+    .hero.is-danger .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-danger a.navbar-item:hover, .hero.is-danger a.navbar-item.is-active,
+    .hero.is-danger .navbar-link:hover,
+    .hero.is-danger .navbar-link.is-active {
+      background-color: #c10a00;
+      color: #fff; }
+    .hero.is-danger .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-danger .tabs a:hover {
+        opacity: 1; }
+    .hero.is-danger .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-danger .tabs.is-boxed a, .hero.is-danger .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-danger .tabs.is-boxed a:hover, .hero.is-danger .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-danger .tabs.is-boxed li.is-active a, .hero.is-danger .tabs.is-boxed li.is-active a:hover, .hero.is-danger .tabs.is-toggle li.is-active a, .hero.is-danger .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #da0b00; }
+    .hero.is-danger.is-bold {
+      background-image: linear-gradient(141deg, #a70013 0%, #da0b00 71%, #f43500 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-danger.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #a70013 0%, #da0b00 71%, #f43500 100%); } }
+  .hero.is-small .hero-body, #documenter .docs-sidebar form.docs-search > input.hero .hero-body {
+    padding-bottom: 1.5rem;
+    padding-top: 1.5rem; }
+  @media screen and (min-width: 769px), print {
+    .hero.is-medium .hero-body {
+      padding-bottom: 9rem;
+      padding-top: 9rem; } }
+  @media screen and (min-width: 769px), print {
+    .hero.is-large .hero-body {
+      padding-bottom: 18rem;
+      padding-top: 18rem; } }
+  .hero.is-halfheight .hero-body, .hero.is-fullheight .hero-body, .hero.is-fullheight-with-navbar .hero-body {
+    align-items: center;
+    display: flex; }
+    .hero.is-halfheight .hero-body > .container, .hero.is-fullheight .hero-body > .container, .hero.is-fullheight-with-navbar .hero-body > .container {
+      flex-grow: 1;
+      flex-shrink: 1; }
+  .hero.is-halfheight {
+    min-height: 50vh; }
+  .hero.is-fullheight {
+    min-height: 100vh; }
+
+.hero-video {
+  overflow: hidden; }
+  .hero-video video {
+    left: 50%;
+    min-height: 100%;
+    min-width: 100%;
+    position: absolute;
+    top: 50%;
+    transform: translate3d(-50%, -50%, 0); }
+  .hero-video.is-transparent {
+    opacity: 0.3; }
+  @media screen and (max-width: 768px) {
+    .hero-video {
+      display: none; } }
+.hero-buttons {
+  margin-top: 1.5rem; }
+  @media screen and (max-width: 768px) {
+    .hero-buttons .button {
+      display: flex; }
+      .hero-buttons .button:not(:last-child) {
+        margin-bottom: 0.75rem; } }
+  @media screen and (min-width: 769px), print {
+    .hero-buttons {
+      display: flex;
+      justify-content: center; }
+      .hero-buttons .button:not(:last-child) {
+        margin-right: 1.5rem; } }
+.hero-head,
+.hero-foot {
+  flex-grow: 0;
+  flex-shrink: 0; }
+
+.hero-body {
+  flex-grow: 1;
+  flex-shrink: 0;
+  padding: 3rem 1.5rem; }
+
+.section {
+  padding: 3rem 1.5rem; }
+  @media screen and (min-width: 1056px) {
+    .section.is-medium {
+      padding: 9rem 1.5rem; }
+    .section.is-large {
+      padding: 18rem 1.5rem; } }
+.footer {
+  background-color: #fafafa;
+  padding: 3rem 1.5rem 6rem; }
+
+h1 .docs-heading-anchor, h1 .docs-heading-anchor:hover, h1 .docs-heading-anchor:visited, h2 .docs-heading-anchor, h2 .docs-heading-anchor:hover, h2 .docs-heading-anchor:visited, h3 .docs-heading-anchor, h3 .docs-heading-anchor:hover, h3 .docs-heading-anchor:visited, h4 .docs-heading-anchor, h4 .docs-heading-anchor:hover, h4 .docs-heading-anchor:visited, h5 .docs-heading-anchor, h5 .docs-heading-anchor:hover, h5 .docs-heading-anchor:visited, h6 .docs-heading-anchor, h6 .docs-heading-anchor:hover, h6 .docs-heading-anchor:visited {
+  color: #222222; }
+
+h1 .docs-heading-anchor-permalink, h2 .docs-heading-anchor-permalink, h3 .docs-heading-anchor-permalink, h4 .docs-heading-anchor-permalink, h5 .docs-heading-anchor-permalink, h6 .docs-heading-anchor-permalink {
+  visibility: hidden;
+  vertical-align: middle;
+  margin-left: 0.5em;
+  font-size: 0.7rem; }
+  h1 .docs-heading-anchor-permalink::before, h2 .docs-heading-anchor-permalink::before, h3 .docs-heading-anchor-permalink::before, h4 .docs-heading-anchor-permalink::before, h5 .docs-heading-anchor-permalink::before, h6 .docs-heading-anchor-permalink::before {
+    font-family: "Font Awesome 5 Free";
+    font-weight: 900;
+    content: "\f0c1"; }
+
+h1:hover .docs-heading-anchor-permalink, h2:hover .docs-heading-anchor-permalink, h3:hover .docs-heading-anchor-permalink, h4:hover .docs-heading-anchor-permalink, h5:hover .docs-heading-anchor-permalink, h6:hover .docs-heading-anchor-permalink {
+  visibility: visible; }
+
+.docs-dark-only {
+  display: none !important; }
+
+pre {
+  position: relative;
+  overflow: hidden; }
+  pre code, pre code.hljs {
+    padding: 0 0.75rem !important;
+    overflow: auto;
+    display: block; }
+  pre code:first-of-type, pre code.hljs:first-of-type {
+    padding-top: 0.5rem !important; }
+  pre code:last-of-type, pre code.hljs:last-of-type {
+    padding-bottom: 0.5rem !important; }
+  pre .copy-button {
+    opacity: 0.2;
+    transition: opacity 0.2s;
+    position: absolute;
+    right: 0em;
+    top: 0em;
+    padding: 0.5em;
+    width: 2.5em;
+    height: 2.5em;
+    background: transparent;
+    border: none;
+    font-family: "Font Awesome 5 Free";
+    color: #222222;
+    cursor: pointer;
+    text-align: center; }
+    pre .copy-button:focus, pre .copy-button:hover {
+      opacity: 1;
+      background: rgba(34, 34, 34, 0.1);
+      color: #2e63b8; }
+    pre .copy-button.success {
+      color: #259a12;
+      opacity: 1; }
+    pre .copy-button.error {
+      color: #cb3c33;
+      opacity: 1; }
+  pre:hover .copy-button {
+    opacity: 1; }
+
+.admonition {
+  background-color: #b5b5b5;
+  border-style: solid;
+  border-width: 1px;
+  border-color: #363636;
+  border-radius: 4px;
+  font-size: 1rem; }
+  .admonition strong {
+    color: currentColor; }
+  .admonition.is-small, #documenter .docs-sidebar form.docs-search > input.admonition {
+    font-size: 0.75rem; }
+  .admonition.is-medium {
+    font-size: 1.25rem; }
+  .admonition.is-large {
+    font-size: 1.5rem; }
+  .admonition.is-default {
+    background-color: #b5b5b5;
+    border-color: #363636; }
+    .admonition.is-default > .admonition-header {
+      background-color: #363636;
+      color: #fff; }
+    .admonition.is-default > .admonition-body {
+      color: #fff; }
+  .admonition.is-info {
+    background-color: #def0fc;
+    border-color: #209cee; }
+    .admonition.is-info > .admonition-header {
+      background-color: #209cee;
+      color: #fff; }
+    .admonition.is-info > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-success {
+    background-color: #bdf4d1;
+    border-color: #22c35b; }
+    .admonition.is-success > .admonition-header {
+      background-color: #22c35b;
+      color: #fff; }
+    .admonition.is-success > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-warning {
+    background-color: #fff3c5;
+    border-color: #ffdd57; }
+    .admonition.is-warning > .admonition-header {
+      background-color: #ffdd57;
+      color: rgba(0, 0, 0, 0.7); }
+    .admonition.is-warning > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-danger {
+    background-color: #ffaba7;
+    border-color: #da0b00; }
+    .admonition.is-danger > .admonition-header {
+      background-color: #da0b00;
+      color: #fff; }
+    .admonition.is-danger > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-compat {
+    background-color: #bdeff5;
+    border-color: #1db5c9; }
+    .admonition.is-compat > .admonition-header {
+      background-color: #1db5c9;
+      color: #fff; }
+    .admonition.is-compat > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+
+.admonition-header {
+  color: #fff;
+  background-color: #363636;
+  align-items: center;
+  font-weight: 700;
+  justify-content: space-between;
+  line-height: 1.25;
+  padding: 0.5rem 0.75rem;
+  position: relative; }
+  .admonition-header:before {
+    font-family: "Font Awesome 5 Free";
+    font-weight: 900;
+    margin-right: 0.75rem;
+    content: "\f06a"; }
+
+.admonition-body {
+  color: #222222;
+  padding: 0.5rem 0.75rem; }
+  .admonition-body pre {
+    background-color: whitesmoke; }
+  .admonition-body code {
+    background-color: rgba(0, 0, 0, 0.05); }
+
+.docstring {
+  margin-bottom: 1em;
+  background-color: transparent;
+  border: 1px solid #dbdbdb;
+  box-shadow: 2px 2px 3px rgba(10, 10, 10, 0.1);
+  max-width: 100%; }
+  .docstring > header {
+    display: flex;
+    flex-grow: 1;
+    align-items: stretch;
+    padding: 0.5rem 0.75rem;
+    background-color: whitesmoke;
+    box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+    box-shadow: none;
+    border-bottom: 1px solid #dbdbdb; }
+    .docstring > header code {
+      background-color: transparent; }
+    .docstring > header .docstring-binding {
+      margin-right: 0.3em; }
+    .docstring > header .docstring-category {
+      margin-left: 0.3em; }
+  .docstring > section {
+    position: relative;
+    padding: 0.75rem 0.75rem;
+    border-bottom: 1px solid #dbdbdb; }
+    .docstring > section:last-child {
+      border-bottom: none; }
+    .docstring > section > a.docs-sourcelink {
+      transition: opacity 0.3s;
+      opacity: 0;
+      position: absolute;
+      right: 0.375rem;
+      bottom: 0.375rem; }
+      .docstring > section > a.docs-sourcelink:focus {
+        opacity: 1 !important; }
+  .docstring:hover > section > a.docs-sourcelink {
+    opacity: 0.2; }
+  .docstring:focus-within > section > a.docs-sourcelink {
+    opacity: 0.2; }
+  .docstring > section:hover a.docs-sourcelink {
+    opacity: 1; }
+
+.documenter-example-output {
+  background-color: white; }
+
+.outdated-warning-overlay {
+  position: fixed;
+  top: 0;
+  left: 0;
+  right: 0;
+  box-shadow: 0 0 10px rgba(0, 0, 0, 0.3);
+  z-index: 999;
+  background-color: #ffaba7;
+  color: rgba(0, 0, 0, 0.7);
+  border-bottom: 3px solid #da0b00;
+  padding: 10px 35px;
+  text-align: center;
+  font-size: 15px; }
+  .outdated-warning-overlay .outdated-warning-closer {
+    position: absolute;
+    top: calc(50% - 10px);
+    right: 18px;
+    cursor: pointer;
+    width: 12px; }
+  .outdated-warning-overlay a {
+    color: #2e63b8; }
+    .outdated-warning-overlay a:hover {
+      color: #363636; }
+
+.content pre {
+  border: 1px solid #dbdbdb; }
+
+.content code {
+  font-weight: inherit; }
+
+.content a code {
+  color: #2e63b8; }
+
+.content h1 code, .content h2 code, .content h3 code, .content h4 code, .content h5 code, .content h6 code {
+  color: #222222; }
+
+.content table {
+  display: block;
+  width: initial;
+  max-width: 100%;
+  overflow-x: auto; }
+
+.content blockquote > ul:first-child, .content blockquote > ol:first-child, .content .admonition-body > ul:first-child, .content .admonition-body > ol:first-child {
+  margin-top: 0; }
+
+pre, code {
+  font-variant-ligatures: no-contextual; }
+
+.breadcrumb a.is-disabled {
+  cursor: default;
+  pointer-events: none; }
+  .breadcrumb a.is-disabled, .breadcrumb a.is-disabled:hover {
+    color: #222222; }
+
+.hljs {
+  background: initial !important; }
+
+.katex .katex-mathml {
+  top: 0;
+  right: 0; }
+
+.katex-display, mjx-container, .MathJax_Display {
+  margin: 0.5em 0 !important; }
+
+html {
+  -moz-osx-font-smoothing: auto;
+  -webkit-font-smoothing: auto; }
+
+li.no-marker {
+  list-style: none; }
+
+/* This file contain the overall layout.
+ *
+ * The main container is <div> that is identified by id #documenter.
+ */
+#documenter .docs-main > article {
+  overflow-wrap: break-word; }
+  #documenter .docs-main > article .math-container {
+    overflow-x: auto;
+    overflow-y: hidden; }
+
+@media screen and (min-width: 1056px) {
+  #documenter .docs-main {
+    max-width: 52rem;
+    margin-left: 20rem;
+    padding-right: 1rem; } }
+
+@media screen and (max-width: 1055px) {
+  #documenter .docs-main {
+    width: 100%; }
+    #documenter .docs-main > article {
+      max-width: 52rem;
+      margin-left: auto;
+      margin-right: auto;
+      margin-bottom: 1rem;
+      padding: 0 1rem; }
+    #documenter .docs-main > header, #documenter .docs-main > nav {
+      max-width: 100%;
+      width: 100%;
+      margin: 0; } }
+
+#documenter .docs-main header.docs-navbar {
+  background-color: white;
+  border-bottom: 1px solid #dbdbdb;
+  z-index: 2;
+  min-height: 4rem;
+  margin-bottom: 1rem;
+  display: flex; }
+  #documenter .docs-main header.docs-navbar .breadcrumb {
+    flex-grow: 1; }
+  #documenter .docs-main header.docs-navbar .docs-right {
+    display: flex;
+    white-space: nowrap; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-icon, #documenter .docs-main header.docs-navbar .docs-right .docs-label, #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+      display: inline-block; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-label {
+      padding: 0;
+      margin-left: 0.3em; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-settings-button {
+      margin: auto 0 auto 1rem; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+      font-size: 1.5rem;
+      margin: auto 0 auto 1rem; }
+  #documenter .docs-main header.docs-navbar > * {
+    margin: auto 0; }
+  @media screen and (max-width: 1055px) {
+    #documenter .docs-main header.docs-navbar {
+      position: sticky;
+      top: 0;
+      padding: 0 1rem;
+      /* For Headroom.js */
+      transition-property: top, box-shadow;
+      -webkit-transition-property: top, box-shadow;
+      /* Safari */
+      transition-duration: 0.3s;
+      -webkit-transition-duration: 0.3s;
+      /* Safari */ }
+      #documenter .docs-main header.docs-navbar.headroom--not-top {
+        box-shadow: 0.2rem 0rem 0.4rem #bbb;
+        transition-duration: 0.7s;
+        -webkit-transition-duration: 0.7s;
+        /* Safari */ }
+      #documenter .docs-main header.docs-navbar.headroom--unpinned.headroom--not-top.headroom--not-bottom {
+        top: -4.5rem;
+        transition-duration: 0.7s;
+        -webkit-transition-duration: 0.7s;
+        /* Safari */ } }
+#documenter .docs-main section.footnotes {
+  border-top: 1px solid #dbdbdb; }
+  #documenter .docs-main section.footnotes li .tag:first-child, #documenter .docs-main section.footnotes li .docstring > section > a.docs-sourcelink:first-child, #documenter .docs-main section.footnotes li .content kbd:first-child, .content #documenter .docs-main section.footnotes li kbd:first-child {
+    margin-right: 1em;
+    margin-bottom: 0.4em; }
+
+#documenter .docs-main .docs-footer {
+  display: flex;
+  flex-wrap: wrap;
+  margin-left: 0;
+  margin-right: 0;
+  border-top: 1px solid #dbdbdb;
+  padding-top: 1rem;
+  padding-bottom: 1rem; }
+  @media screen and (max-width: 1055px) {
+    #documenter .docs-main .docs-footer {
+      padding-left: 1rem;
+      padding-right: 1rem; } }
+  #documenter .docs-main .docs-footer .docs-footer-nextpage, #documenter .docs-main .docs-footer .docs-footer-prevpage {
+    flex-grow: 1; }
+  #documenter .docs-main .docs-footer .docs-footer-nextpage {
+    text-align: right; }
+  #documenter .docs-main .docs-footer .flexbox-break {
+    flex-basis: 100%;
+    height: 0; }
+  #documenter .docs-main .docs-footer .footer-message {
+    font-size: 0.8em;
+    margin: 0.5em auto 0 auto;
+    text-align: center; }
+
+#documenter .docs-sidebar {
+  display: flex;
+  flex-direction: column;
+  color: #0a0a0a;
+  background-color: whitesmoke;
+  border-right: 1px solid #dbdbdb;
+  padding: 0;
+  flex: 0 0 18rem;
+  z-index: 5;
+  font-size: 1rem;
+  position: fixed;
+  left: -18rem;
+  width: 18rem;
+  height: 100%;
+  transition: left 0.3s;
+  /* Setting up a nicer theme style for the scrollbar */ }
+  #documenter .docs-sidebar.visible {
+    left: 0;
+    box-shadow: 0.4rem 0rem 0.8rem #bbb; }
+    @media screen and (min-width: 1056px) {
+      #documenter .docs-sidebar.visible {
+        box-shadow: none; } }
+  @media screen and (min-width: 1056px) {
+    #documenter .docs-sidebar {
+      left: 0;
+      top: 0; } }
+  #documenter .docs-sidebar .docs-logo {
+    margin-top: 1rem;
+    padding: 0 1rem; }
+    #documenter .docs-sidebar .docs-logo > img {
+      max-height: 6rem;
+      margin: auto; }
+  #documenter .docs-sidebar .docs-package-name {
+    flex-shrink: 0;
+    font-size: 1.5rem;
+    font-weight: 700;
+    text-align: center;
+    white-space: nowrap;
+    overflow: hidden;
+    padding: 0.5rem 0; }
+    #documenter .docs-sidebar .docs-package-name .docs-autofit {
+      max-width: 16.2rem; }
+    #documenter .docs-sidebar .docs-package-name a, #documenter .docs-sidebar .docs-package-name a:hover {
+      color: #0a0a0a; }
+  #documenter .docs-sidebar .docs-version-selector {
+    border-top: 1px solid #dbdbdb;
+    display: none;
+    padding: 0.5rem; }
+    #documenter .docs-sidebar .docs-version-selector.visible {
+      display: flex; }
+  #documenter .docs-sidebar ul.docs-menu {
+    flex-grow: 1;
+    user-select: none;
+    border-top: 1px solid #dbdbdb;
+    padding-bottom: 1.5rem;
+    /* Managing collapsible submenus */ }
+    #documenter .docs-sidebar ul.docs-menu > li > .tocitem {
+      font-weight: bold; }
+    #documenter .docs-sidebar ul.docs-menu > li li {
+      font-size: 0.95rem;
+      margin-left: 1em;
+      border-left: 1px solid #dbdbdb; }
+    #documenter .docs-sidebar ul.docs-menu input.collapse-toggle {
+      display: none; }
+    #documenter .docs-sidebar ul.docs-menu ul.collapsed {
+      display: none; }
+    #documenter .docs-sidebar ul.docs-menu input:checked ~ ul.collapsed {
+      display: block; }
+    #documenter .docs-sidebar ul.docs-menu label.tocitem {
+      display: flex; }
+      #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-label {
+        flex-grow: 2; }
+      #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron {
+        display: inline-block;
+        font-style: normal;
+        font-variant: normal;
+        text-rendering: auto;
+        line-height: 1;
+        font-size: 0.75rem;
+        margin-left: 1rem;
+        margin-top: auto;
+        margin-bottom: auto; }
+        #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron::before {
+          font-family: "Font Awesome 5 Free";
+          font-weight: 900;
+          content: "\f054"; }
+    #documenter .docs-sidebar ul.docs-menu input:checked ~ label.tocitem .docs-chevron::before {
+      content: "\f078"; }
+    #documenter .docs-sidebar ul.docs-menu .tocitem {
+      display: block;
+      padding: 0.5rem 0.5rem; }
+      #documenter .docs-sidebar ul.docs-menu .tocitem, #documenter .docs-sidebar ul.docs-menu .tocitem:hover {
+        color: #0a0a0a;
+        background: whitesmoke; }
+    #documenter .docs-sidebar ul.docs-menu a.tocitem:hover, #documenter .docs-sidebar ul.docs-menu label.tocitem:hover {
+      color: #0a0a0a;
+      background-color: #ebebeb; }
+    #documenter .docs-sidebar ul.docs-menu li.is-active {
+      border-top: 1px solid #dbdbdb;
+      border-bottom: 1px solid #dbdbdb;
+      background-color: white; }
+      #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem, #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem:hover {
+        background-color: white;
+        color: #0a0a0a; }
+      #documenter .docs-sidebar ul.docs-menu li.is-active ul.internal .tocitem:hover {
+        background-color: #ebebeb;
+        color: #0a0a0a; }
+    #documenter .docs-sidebar ul.docs-menu > li.is-active:first-child {
+      border-top: none; }
+    #documenter .docs-sidebar ul.docs-menu ul.internal {
+      margin: 0 0.5rem 0.5rem;
+      border-top: 1px solid #dbdbdb; }
+      #documenter .docs-sidebar ul.docs-menu ul.internal li {
+        font-size: 0.85rem;
+        border-left: none;
+        margin-left: 0;
+        margin-top: 0.5rem; }
+      #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem {
+        width: 100%;
+        padding: 0; }
+        #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem::before {
+          content: "⚬";
+          margin-right: 0.4em; }
+  #documenter .docs-sidebar form.docs-search {
+    margin: auto;
+    margin-top: 0.5rem;
+    margin-bottom: 0.5rem; }
+    #documenter .docs-sidebar form.docs-search > input {
+      width: 14.4rem; }
+  @media screen and (min-width: 1056px) {
+    #documenter .docs-sidebar ul.docs-menu {
+      overflow-y: auto;
+      -webkit-overflow-scroll: touch; }
+      #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar {
+        width: .3rem;
+        background: none; }
+      #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb {
+        border-radius: 5px 0px 0px 5px;
+        background: #e0e0e0; }
+      #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb:hover {
+        background: #cccccc; } }
+  @media screen and (max-width: 1055px) {
+    #documenter .docs-sidebar {
+      overflow-y: auto;
+      -webkit-overflow-scroll: touch; }
+      #documenter .docs-sidebar::-webkit-scrollbar {
+        width: .3rem;
+        background: none; }
+      #documenter .docs-sidebar::-webkit-scrollbar-thumb {
+        border-radius: 5px 0px 0px 5px;
+        background: #e0e0e0; }
+      #documenter .docs-sidebar::-webkit-scrollbar-thumb:hover {
+        background: #cccccc; } }
+#documenter .docs-main #documenter-search-info {
+  margin-bottom: 1rem; }
+
+#documenter .docs-main #documenter-search-results {
+  list-style-type: circle;
+  list-style-position: outside; }
+  #documenter .docs-main #documenter-search-results li {
+    margin-left: 2rem; }
+  #documenter .docs-main #documenter-search-results .docs-highlight {
+    background-color: yellow; }
+
+.ansi span.sgr1 {
+  font-weight: bolder; }
+
+.ansi span.sgr2 {
+  font-weight: lighter; }
+
+.ansi span.sgr3 {
+  font-style: italic; }
+
+.ansi span.sgr4 {
+  text-decoration: underline; }
+
+.ansi span.sgr7 {
+  color: white;
+  background-color: #222222; }
+
+.ansi span.sgr8 {
+  color: transparent; }
+  .ansi span.sgr8 span {
+    color: transparent; }
+
+.ansi span.sgr9 {
+  text-decoration: line-through; }
+
+.ansi span.sgr30 {
+  color: #242424; }
+
+.ansi span.sgr31 {
+  color: #a7201f; }
+
+.ansi span.sgr32 {
+  color: #066f00; }
+
+.ansi span.sgr33 {
+  color: #856b00; }
+
+.ansi span.sgr34 {
+  color: #2149b0; }
+
+.ansi span.sgr35 {
+  color: #7d4498; }
+
+.ansi span.sgr36 {
+  color: #007989; }
+
+.ansi span.sgr37 {
+  color: gray; }
+
+.ansi span.sgr40 {
+  background-color: #242424; }
+
+.ansi span.sgr41 {
+  background-color: #a7201f; }
+
+.ansi span.sgr42 {
+  background-color: #066f00; }
+
+.ansi span.sgr43 {
+  background-color: #856b00; }
+
+.ansi span.sgr44 {
+  background-color: #2149b0; }
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diff --git a/v0.3.9/index.html b/v0.3.9/index.html
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--- /dev/null
+++ b/v0.3.9/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Home · GeoParams.jl</title><script data-outdated-warner src="assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="assets/documenter.js"></script><script src="siteinfo.js"></script><script src="../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href>GeoParams.jl</a></span></div><form class="docs-search" action="search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li class="is-active"><a class="tocitem" href>Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="man/geounit/">GeoUnit</a></li><li><a class="tocitem" href="man/nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="man/materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="man/density/">Density</a></li><li><a class="tocitem" href="man/creeplaws/">Creep laws</a></li><li><a class="tocitem" href="man/elasticity/">Elasticity</a></li><li><a class="tocitem" href="man/plasticity/">Plasticity</a></li><li><a class="tocitem" href="man/heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="man/conductivity/">Conductivity</a></li><li><a class="tocitem" href="man/latentheat/">Latent heat</a></li><li><a class="tocitem" href="man/radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="man/shearheating/">Shear heating</a></li><li><a class="tocitem" href="man/gravity/">Gravity</a></li><li><a class="tocitem" href="man/melting/">Partial Melting</a></li><li><a class="tocitem" href="man/TASclassification/">TAS classification</a></li><li><a class="tocitem" href="man/zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="man/phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="man/seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="man/plotting/">Plotting</a></li><li><a class="tocitem" href="man/listfunctions/">List of functions</a></li><li><a class="tocitem" href="man/contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Home</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Home</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/index.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="GeoParams.jl"><a class="docs-heading-anchor" href="#GeoParams.jl">GeoParams.jl</a><a id="GeoParams.jl-1"></a><a class="docs-heading-anchor-permalink" href="#GeoParams.jl" title="Permalink"></a></h1><p>Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:</p><ul><li>Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).</li><li>Material parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. </li></ul><p>We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="man/geounit/">GeoUnit »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 13 June 2022 09:34">Monday 13 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.9/man/TASclassification/index.html b/v0.3.9/man/TASclassification/index.html
new file mode 100644
index 000000000..ec04a5b35
--- /dev/null
+++ b/v0.3.9/man/TASclassification/index.html
@@ -0,0 +1,4 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>TAS classification · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li class="is-active"><a class="tocitem" href>TAS classification</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routine"><span>Computational routine</span></a></li></ul></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>TAS classification</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>TAS classification</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/TASclassification.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="TAS-rock-classification"><a class="docs-heading-anchor" href="#TAS-rock-classification">TAS rock classification</a><a id="TAS-rock-classification-1"></a><a class="docs-heading-anchor-permalink" href="#TAS-rock-classification" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>When doing coupled petrological-geodynamic modelling, the evolution of the composition of the magma is more easily understood when a rock type is given. This routine is an implementation of the TAS diagram (Total Alkali (TA) vs Silica (S)) from Le Maitre et al., 2002.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.TASclassificationData" href="#GeoParams.TASclassification.TASclassificationData"><code>GeoParams.TASclassification.TASclassificationData</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">TASclassificationData
+
+Struct that holds default parameters for the TAS diagram</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/RockClassification/TASclassification.jl#L50-L54">source</a></section></article><h1 id="Computational-routine"><a class="docs-heading-anchor" href="#Computational-routine">Computational routine</a><a id="Computational-routine-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routine" title="Permalink"></a></h1><p>There is one routine with which you can retrieve the index of the TAS rock-type. The routine receives as an input a compositional vector [SiO2,Na2O+K2O] in wt% and sends back an index [1-15].</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.computeTASclassification" href="#GeoParams.TASclassification.computeTASclassification"><code>GeoParams.TASclassification.computeTASclassification</code></a> — <span class="docstring-category">Function</span></header><section><div><p>classIndex computeTASclassification(chemComp::AbstractArray{_T,N}, ClassTASdata::TASclassificationData)</p><p>This compute the classification of the igneous rock using TAS diagram (Total Alkali (TA) vs Silica (S)).</p><p><strong>Input:</strong></p><ul><li><code>chemComp</code> : vector rock composition in oxide wt%</li></ul><p>Output:</p><ul><li><code>classIndex</code> : an integer [0-14] corresponding to a TAS field (TASclassificationData.litho[classIndex])</li></ul><p>This routine was developed based the TAS classification of Le Maitre et al., 2002</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/RockClassification/TASclassification.jl#L104-L118">source</a></section></article><p>Using the index of the rock-type you can get the name of the corresponding volcanic rock using the following routine.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.retrieveTASrockType" href="#GeoParams.TASclassification.retrieveTASrockType"><code>GeoParams.TASclassification.retrieveTASrockType</code></a> — <span class="docstring-category">Function</span></header><section><div><p>retrieveTASrockType(index::Int64; ClassTASdata::TASclassificationData = TASclassificationData())</p><p>This retrieves the name of the volcanic rock-type using the computed index</p><p><strong>Input:</strong></p><ul><li><code>index</code> : integer [1-15]</li></ul><p>Output:</p><ul><li><code>litho</code> : a string of the name of corresponding volcanic rock</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/RockClassification/TASclassification.jl#L85-L97">source</a></section></article><p>We also provide a plotting routine, provided the <code>Plots</code> package is loaded, which produces figures such as: <img src="../assets/img/TAS_diagram.png" alt="subet3"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../melting/">« Partial Melting</a><a class="docs-footer-nextpage" href="../zirconages/">Zircon Ages »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 13 June 2022 09:34">Monday 13 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Conductivity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Conductivity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/conductivity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Conductivity"><a class="docs-heading-anchor" href="#Conductivity">Conductivity</a><a id="Conductivity-1"></a><a class="docs-heading-anchor-permalink" href="#Conductivity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Thermal conductivity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.ConstantConductivity" href="#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantConductivity(k=3.0W/m/K)</code></pre><p>Set a constant conductivity</p><p class="math-container">\[    k  = cst\]</p><p>where <span>$k$</span> is the thermal conductivity [<span>$W/m/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Energy/Conductivity.jl#L29-L37">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington" href="#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Conductivity_Whittington()</code></pre><p>Sets a temperature-dependent conductivity following the parameterization of <em>Whittington, A.G., Hofmeister, A.M., Nabelek, P.I., 2009. Temperature-dependent thermal diffusivity of the Earth’s crust and implications for magmatism. Nature 458, 319–321. https://doi.org/10.1038/nature07818.</em>  Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us to compute </p><p class="math-container">\[    Cp = a + b T - c/T^2 \]</p><p class="math-container">\[    \kappa = d/T - e \textrm{ if } T&lt;=846K\]</p><p class="math-container">\[    \kappa = f - g*T \textrm{ if } T&gt;846K\]</p><p class="math-container">\[    \rho = 2700 kg/m^3\]</p><p class="math-container">\[    k = \kappa \rho Cp\]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/mol/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <code>T</code>:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>d = 576.3m^2/s*K      </li><li>e = 0.062m^2/s        </li><li>f = 0.732m^2/s        </li><li>g = 0.000135m^2/s/K </li></ul><p>This looks like:</p><p><img src="../assets/img/Conductivity_Whittington.png" alt="subet1"/></p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; using GeoParams, Plots
+julia&gt; p=T_Conductivity_Whittington();
+julia&gt; T,k,plt = PlotConductivity(p)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Energy/Conductivity.jl#L89-L135">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised" href="#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Conductivity_Whittington_parameterised()</code></pre><p>Sets a temperature-dependent conductivity that is  parameterization after <em>Whittington, et al.  2009</em> </p><p>The original parameterization involves quite a few parameters; this is a polynomial fit that is roughly valid from 0-1000Celcius</p><p class="math-container">\[    k [W/m/K] = -2 10^{-9} (T-Ts)^3 + 6 10^{-6} (T-Ts)^2 - 0.0062 (T-Ts) + 4\]</p><p class="math-container">\[    Ts = 273.15 K\]</p><p>where <code>T[K]</code> is the temperature in Kelvin (or the nondimensional equivalent of it).</p><p>The comparison of this parameterisation vs. the original one is: <img src="../assets/img/Conductivity_Whittington_smooth.png" alt="subet1"/></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Energy/Conductivity.jl#L235-L253">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">TP_Conductivity()</code></pre><p>Sets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for  </p><p class="math-container">\[    k = \left( a_k +  {b_k \over {T + c_k}} \right) (1 + d_k P) \]</p><p>where <span>$k$</span> is the conductivity [<span>$W/K/m$</span>], and <span>$a_k,b_k,c_k,d_k$</span> are parameters that dependent on the temperature <code>T</code> and pressure <code>P</code>:</p><ul><li><span>$a_k$</span> = 1.18Watt/K/m    </li><li><span>$b_k$</span> = 474Watt/m </li><li><span>$c_k$</span> = 77K       </li><li><span>$d_k$</span> = 0/MPa       </li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Energy/Conductivity.jl#L329-L344">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">Set_TP_Conductivity[&quot;Name of temperature(-pressure) dependent conductivity&quot;]</code></pre><p>This is a dictionary with pre-defined laws:</p><ul><li>&quot;UpperCrust&quot;    </li><li>&quot;LowerCrust&quot;</li><li>&quot;OceanicCrust&quot;</li><li>&quot;Mantle&quot;</li></ul><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; k=Set_TP_Conductivity[&quot;Mantle&quot;]
+T/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)  </code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Energy/Conductivity.jl#L363-L378">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">k = compute_conductivity(P, T, s:&lt;AbstractConductivity)</code></pre><p>Returns the thermal conductivity <code>k</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the parameterizations implemented.</p><p>Currently available:</p><ul><li>ConstantConductivity</li><li>T_Conductivity_Whittington</li><li>TP_Conductivity</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia hljs">julia&gt; T  = (250:100:1250)*K;
+julia&gt; cp = T_HeatCapacity_Whittington()
+julia&gt; Cp = ComputeHeatCapacity(0,T,cp)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Energy/Conductivity.jl#L488-L507">source</a></section><section><div><pre><code class="nohighlight hljs">compute_conductivity!(K::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},Temp::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of conductivity <code>K</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>Temp</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p>_________________________________________________________________________________________________________</p><p>compute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</p><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Energy/Conductivity.jl#L530-L542">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity!" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_conductivity!(k_array::AbstractArray{&lt;:AbstractFloat,N},P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, s::T_Conductivity_Whittington) where N</code></pre><p>In-place routine to compute temperature-dependent conductivity    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Energy/Conductivity.jl#L204-L208">source</a></section><section><div><pre><code class="nohighlight hljs">compute_conductivity!(k::AbstractArray{_T,N}, s::T_Conductivity_Whittington_parameterised{_T}, P::AbstractArray{_T,N}, T::AbstractArray{_T,N})</code></pre><p>In-place routine to compute temperature-dependent conductivity    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Energy/Conductivity.jl#L302-L306">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../heatcapacity/">« Heat Capacity</a><a class="docs-footer-nextpage" href="../latentheat/">Latent heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 13 June 2022 09:34">Monday 13 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.9/man/contributing/index.html b/v0.3.9/man/contributing/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Contributing · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" 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class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li class="is-active"><a class="tocitem" href>Contributing</a><ul class="internal"><li><a class="tocitem" href="#Style-Guide"><span>Style Guide</span></a></li></ul></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Contributing</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Contributing</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/contributing.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Contributing"><a class="docs-heading-anchor" href="#Contributing">Contributing</a><a id="Contributing-1"></a><a class="docs-heading-anchor-permalink" href="#Contributing" title="Permalink"></a></h1><p>This page details the some of the guidelines that should be followed when contributing to this package.</p><p>You can contribute for example by adding new creep laws or by adding new constitutive relationships. If you invest a bit of time now, it will save others in the community a lot of time! The simplest way to do this is by cloning the repository, and creating a new branch for your feature. Once you are happy with what you added (and after you added a test to ensure that it will keep working with future changes), create a pull request and we will evaluate &amp; merge it.</p><h2 id="Style-Guide"><a class="docs-heading-anchor" href="#Style-Guide">Style Guide</a><a id="Style-Guide-1"></a><a class="docs-heading-anchor-permalink" href="#Style-Guide" title="Permalink"></a></h2><p>Follow the style of the surrounding text when making changes. When adding new features please try to stick to the following points whenever applicable.</p><h3 id="Julia"><a class="docs-heading-anchor" href="#Julia">Julia</a><a id="Julia-1"></a><a class="docs-heading-anchor-permalink" href="#Julia" title="Permalink"></a></h3><ul><li>4-space indentation;</li><li>modules spanning entire files should not be indented, but modules that have surrounding code should;</li><li>no blank lines at the start or end of files;</li><li>do not manually align syntax such as <code>=</code> or <code>::</code> over adjacent lines;</li><li>use <code>function ... end</code> when a method definition contains more than one toplevel expression;</li><li>related short-form method definitions don&#39;t need a new line between them;</li><li>unrelated or long-form method definitions must have a blank line separating each one;</li><li>surround all binary operators with whitespace except for <code>::</code>, <code>^</code>, and <code>:</code>;</li><li>files containing a single <code>module ... end</code> must be named after the module;</li><li>method arguments should be ordered based on the amount of usage within the method body;</li><li>methods extended from other modules must follow their inherited argument order, not the above rule;</li><li>explicit <code>return</code> should be preferred except in short-form method definitions;</li><li>avoid dense expressions where possible e.g. prefer nested <code>if</code>s over complex nested <code>?</code>s;</li><li>include a trailing <code>,</code> in vectors, tuples, or method calls that span several lines;</li><li>do not use multiline comments (<code>#=</code> and <code>=#</code>);</li><li>wrap long lines as near to 92 characters as possible, this includes docstrings;</li><li>follow the standard naming conventions used in <code>Base</code>.</li></ul><h3 id="Markdown"><a class="docs-heading-anchor" href="#Markdown">Markdown</a><a id="Markdown-1"></a><a class="docs-heading-anchor-permalink" href="#Markdown" title="Permalink"></a></h3><ul><li>Use unbalanced <code>#</code> headers, i.e. no <code>#</code> on the right hand side of the header text;</li><li>include a single blank line between toplevel blocks;</li><li>unordered lists must use <code>*</code> bullets with two preceding spaces;</li><li>do <em>not</em> hard wrap lines;</li><li>use emphasis (<code>*</code>) and bold (<code>**</code>) sparingly;</li><li>always use fenced code blocks instead of indented blocks;</li><li>follow the conventions outlined in the Julia documentation page on documentation.</li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../listfunctions/">« List of functions</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 13 June 2022 09:34">Monday 13 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.9/man/creeplaws/index.html b/v0.3.9/man/creeplaws/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Creep laws · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li class="is-active"><a class="tocitem" href>Creep laws</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Implemented-creep-laws"><span>Implemented creep laws</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-for-creep-laws"><span>Computational routines for creep laws</span></a></li></ul></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Creep laws</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Creep laws</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/creeplaws.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="CreepLaws"><a class="docs-heading-anchor" href="#CreepLaws">CreepLaws</a><a id="CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#CreepLaws" title="Permalink"></a></h1><h1 id="Implemented-creep-laws"><a class="docs-heading-anchor" href="#Implemented-creep-laws">Implemented creep laws</a><a id="Implemented-creep-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-creep-laws" title="Permalink"></a></h1><p>The following viscous creep laws are implemented:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.CreepLaw.LinearViscous" href="#GeoParams.MaterialParameters.CreepLaw.LinearViscous"><code>GeoParams.MaterialParameters.CreepLaw.LinearViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">LinearViscous(η=1e20Pa*s)</code></pre><p>Defines a linear viscous creeplaw </p><p>The (isotopic) linear viscous rheology is given by  </p><p class="math-container">\[    \tau_{ij} = 2 \eta \dot{\varepsilon}_{ij} \]</p><p>or</p><p class="math-container">\[    \dot{\varepsilon}_{ij}  = {\tau_{ij}  \over 2 \eta }\]</p><p>where <span>$\eta_0$</span> is the reference viscosity [Pa*s] at reference strain rate <span>$\dot{\varepsilon}_0$</span>[1/s], and <span>$n$</span> the power law exponent []. </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/CreepLaw/CreepLaw.jl#L54-L69">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.CreepLaw.PowerlawViscous" href="#GeoParams.MaterialParameters.CreepLaw.PowerlawViscous"><code>GeoParams.MaterialParameters.CreepLaw.PowerlawViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)</code></pre><p>Defines a power law viscous creeplaw as: </p><p class="math-container">\[    \tau_{ij}^n  = 2 \eta_0 \left( \dot{\varepsilon}_{ij} \over \dot{\varepsilon}_0 \right)\]</p><p>where <span>$\eta$</span> is the effective viscosity [Pa*s].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/CreepLaw/CreepLaw.jl#L111-L120">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.CreepLaw.DislocationCreep" href="#GeoParams.MaterialParameters.CreepLaw.DislocationCreep"><code>GeoParams.MaterialParameters.CreepLaw.DislocationCreep</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DislocationCreep(n = 1.0NoUnits, r = 0.00.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )</code></pre><p>Defines the flow law parameter of a dislocation creep law  The (isotropic) dislocation creep law, as used by experimtalists, is given by  </p><p class="math-container">\[     \dot{\gamma} = A \sigma_\mathrm{d}^n f_\mathrm{H2O}^r \exp(-\frac{E+PV}{RT})\]</p><p>where <span>$n$</span> is the power law exponent,   <span>$r$</span> is the exponent of fugacity dependence,  <span>$A$</span> is a pre-exponential factor <a href="man/if manually defined, n and r must be either pre-defined or substituted">MPa^(n+r)</a>,   <span>$E$</span> is the activation energy [kJ/mol], <span>$V$</span> is the activation volume [m^3/mol]. <span>$\dot{\gamma}$</span> is the ordinary strain rate [1/s],  and <span>$\sigma_\mathrm{d}$</span> is the differential stress which are converted into second invariants using the apparatus type that can be either AxialCompression, SimpleShear or Invariant. If the flow law paramters are already given as a function of second invariants, choose apparatus = &quot;Invariant&quot;</p><pre><code class="language-julia-repl hljs">julia&gt; x2      =   DislocationCreep(n=3)
+DislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/CreepLaw/DislocationCreep.jl#L22-L41">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.CreepLaw.SetDislocationCreep" href="#GeoParams.MaterialParameters.CreepLaw.SetDislocationCreep"><code>GeoParams.MaterialParameters.CreepLaw.SetDislocationCreep</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetDislocationCreep[&quot;Name of Dislocation Creep&quot;]</code></pre><p>This is a dictionary with pre-defined creep laws    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/CreepLaw/DislocationCreep.jl#L119-L122">source</a></section></article><h1 id="Computational-routines-for-creep-laws"><a class="docs-heading-anchor" href="#Computational-routines-for-creep-laws">Computational routines for creep laws</a><a id="Computational-routines-for-creep-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines-for-creep-laws" title="Permalink"></a></h1><p>Once a creep rheology is defined, we can use the following routines to perform computations within the solvers</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>CreepLawVariables</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII" href="#GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII"><code>GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">computeCreepLaw_EpsII(TauII, s:&lt;AbstractCreepLaw, p::CreepLawVariables)</code></pre><p>Returns the strainrate invariant <span>$\dot{\varepsilon}_{II}$</span> for a given deviatoric stress  invariant <span>$\tau_{II}$</span> for any of the viscous creep laws implemented. <span>$p$</span> is a struct that can hold various parameters (such as <span>$P$</span>, <span>$T$</span>) that the creep law may need for the calculations </p><p class="math-container">\[    \dot{\varepsilon}_{II}   = f( \tau_{II} ) \]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/CreepLaw/CreepLaw.jl#L148-L160">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII" href="#GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII"><code>GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">computeCreepLaw_TauII(EpsII, s:&lt;AbstractCreepLaw, p::CreepLawVariables)</code></pre><p>Returns the deviatoric stress invariant <span>$\tau_{II}$</span> for a given strain rate   invariant <span>$\dot{\varepsilon}_{II}$</span> for any of the viscous creep laws implemented. <span>$p$</span> is a struct that can hold various parameters (such as <span>$P$</span>, <span>$T$</span>) that the creep law may need for the calculations </p><p class="math-container">\[    \tau_{II}  = f( \dot{\varepsilon}_{II} ) \]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/CreepLaw/CreepLaw.jl#L163-L175">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../density/">« Density</a><a class="docs-footer-nextpage" href="../elasticity/">Elasticity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 13 June 2022 09:34">Monday 13 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Density · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li class="is-active"><a class="tocitem" href>Density</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Density</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Density</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/density.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Density"><a class="docs-heading-anchor" href="#Density">Density</a><a id="Density-1"></a><a class="docs-heading-anchor-permalink" href="#Density" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>The density equation of state can be specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.ConstantDensity" href="#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantDensity(ρ=2900kg/m^3)</code></pre><p>Set a constant density:</p><p class="math-container">\[    \rho  = cst\]</p><p>where <span>$\rho$</span> is the density [<span>$kg/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Density/Density.jl#L33-L41">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.PT_Density" href="#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)</code></pre><p>Set a pressure and temperature-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 (1.0 - \alpha (T-T_0) + \beta  (P-P_0) )  \]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference temperature <span>$T_0$</span> and pressure <span>$P_0$</span>, <span>$\alpha$</span> is the temperature dependence of density and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Density/Density.jl#L74-L83">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.Compressible_Density" href="#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)</code></pre><p>Set a pressure-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 \exp(β*(P - P\_0))  \]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference pressure <span>$P_0$</span> and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Density/Density.jl#L137-L145">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To evaluate density within a user routine, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density" href="#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_density(P,T, s::PhaseDiagram_LookupTable)</code></pre><p>Interpolates density as a function of <code>T,P</code> from a lookup table  </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Density/Density.jl#L210-L213">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density!" href="#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_density!(rho::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, s::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of density as a function of <code>T,P</code>, in case we are using a lookup table.    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Density/Density.jl#L220-L223">source</a></section><section><div><pre><code class="nohighlight hljs">compute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I&lt;:Integer}</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; MatParam = (SetMaterialParams(Name=&quot;Mantle&quot;, Phase=1,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                        Density   = PT_Density()
+                        ),
+                    SetMaterialParams(Name=&quot;Crust&quot;, Phase=2,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),
+                        Density   = ConstantDensity(ρ=2900kg/m^3))
+                  );
+julia&gt; Phases = ones(Int64,400,400);
+julia&gt; Phases[:,20:end] .= 2
+julia&gt; rho     = zeros(size(Phases))
+julia&gt; T       =  ones(size(Phases))
+julia&gt; P       =  ones(size(Phases))*10
+julia&gt; compute_density!(rho, MatParam, Phases, P, T)
+julia&gt; rho
+400×400 Matrix{Float64}:
+2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮                            
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0</code></pre><p>The routine is made to minimize allocations:</p><pre><code class="language-julia hljs">julia&gt; using BenchmarkTools
+julia&gt; @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)
+    203.468 μs (0 allocations: 0 bytes)</code></pre><p>_____________________________________________________________________________________________________________________________   </p><pre><code class="nohighlight hljs">compute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Density/Density.jl#L245-L309">source</a></section></article><p>Note that density values are usually not used in itself in the governing PDE&#39;s, but usually in combination with other parameters, such as <span>$\rho g$</span> or <span>$\rho c_p$</span>. the non-dimensional value of <span>$\rho$</span> may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../materialparameters/">« Material Parameters</a><a class="docs-footer-nextpage" href="../creeplaws/">Creep laws »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 13 June 2022 09:34">Monday 13 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.9/man/elasticity/index.html b/v0.3.9/man/elasticity/index.html
new file mode 100644
index 000000000..d7dd0af1f
--- /dev/null
+++ b/v0.3.9/man/elasticity/index.html
@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Elasticity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li class="is-active"><a class="tocitem" href>Elasticity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Implemented-laws"><span>Implemented laws</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Elasticity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Elasticity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/elasticity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Elasticity"><a class="docs-heading-anchor" href="#Elasticity">Elasticity</a><a id="Elasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Elasticity" title="Permalink"></a></h1><p>Elasticity is, in geodynamics, often used in combination with viscous and plastic rheology.</p><h1 id="Implemented-laws"><a class="docs-heading-anchor" href="#Implemented-laws">Implemented laws</a><a id="Implemented-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-laws" title="Permalink"></a></h1><p>We provide the following elastic constitutive relationships:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Elasticity.ConstantElasticity" href="#GeoParams.MaterialParameters.Elasticity.ConstantElasticity"><code>GeoParams.MaterialParameters.Elasticity.ConstantElasticity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantElasticity(G, ν, K, E)</code></pre><p>Structure that holds parameters for constant, isotropic, linear elasticity.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Elasticity/Elasticity.jl#L24-L28">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>We can compute the elastic strainrate with:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate" href="#GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate"><code>GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_elastic_shear_strainrate(s::ConstantElasticity{_T}; τII, τII_old, dt)</code></pre><p>Computes elastic strainrate given the deviatoric stress at the current (<code>τII</code>) and old timestep (<code>τII_old</code>), for a timestep <code>dt</code>:</p><p class="math-container">\[    \dot{\varepsilon}^{el} = {1 \over 2 G} {D \tau_{II} \over Dt } ≈ {1 \over 2 G} {\tau_{II}- \tilde{\tau}_{II}^{old} \over dt }\]</p><p>Note that we here solve the scalar equation, which is sufficient for isotropic cases. In tensor form, it would be</p><p class="math-container">\[    {\dot{\varepsilon}^{el}}_{ij} = {1 \over 2 G} { \tau_{ij} - \tilde{{\tau_{ij}}}^{old} \over dt }\]</p><p>here <span>$\tilde{{\tau_{ij}}}^{old}$</span> is the rotated old deviatoric stress tensor to ensure objectivity (this can be done with Jaumann derivative, or also by using the full rotational formula).</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Elasticity/Elasticity.jl#L51-L65">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate!" href="#GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate!"><code>GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_elastic_shear_strainrate!(ε_el::AbstractArray{_T,N}, s::ConstantElasticity{_T}; τII::AbstractArray{_T,N}, τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)</code></pre><p>In-place computation of the elastic shear strainrate for given deviatoric stress invariants at the previous (<code>τII_old</code>) and new (<code>τII</code>) timestep, as well as the timestep <code>dt</code>  </p><p class="math-container">\[    \dot{\varepsilon}^{el} = {1 \over 2 G} {D \tau_{II} \over Dt } ≈ {1 \over 2 G} {\tau_{II}- \tau_{II}^{old} \over dt }\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Elasticity/Elasticity.jl#L68-L77">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../creeplaws/">« Creep laws</a><a class="docs-footer-nextpage" href="../plasticity/">Plasticity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 13 June 2022 09:34">Monday 13 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.9/man/geounit/index.html b/v0.3.9/man/geounit/index.html
new file mode 100644
index 000000000..c5460d0e0
--- /dev/null
+++ b/v0.3.9/man/geounit/index.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>GeoUnit · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li class="is-active"><a class="tocitem" href>GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>GeoUnit</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>GeoUnit</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/geounit.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="GeoUnit"><a class="docs-heading-anchor" href="#GeoUnit"><code>GeoUnit</code></a><a id="GeoUnit-1"></a><a class="docs-heading-anchor-permalink" href="#GeoUnit" title="Permalink"></a></h1><p>Most parameters have physical units (100km, 9.81 ms⁻²). Yet, within numerical solvers it is usually not a good idea to compute with the actual SI units as they (at least in geosciences) tend to result in very large/small numbers, which can cause in roundoff errors.  Therefore, we usually convert the dimensional units into non-dimensional ones befeore starting computations. The results can than be converted back to more convenient units for us when we generate the output (plots, for example).</p><p>This requires a wauy to store the dimensions of a parameter, but also, once they are made nondimensional, the original units (otherwise we can&#39;t convert them back to dimensional values).</p><p>For that reason, we use the <code>GeoUnit</code> structure, defined as </p><pre><code class="language-julia hljs">struct GeoUnit{T,U}
+    val          :: T
+    unit         :: U
+    isdimensional:: Bool
+end</code></pre><p>You can define a GeoUnit as:</p><pre><code class="language-julia hljs">julia&gt; a = GeoUnit(100km)
+GeoUnit{dimensional, km}, 
+100.0
+julia&gt; b=GeoUnit(100s)
+GeoUnit{dimensional, s}, 
+100.0</code></pre><p>Dividing the two gives the expected result</p><pre><code class="language-julia hljs">julia&gt; c=a/b
+GeoUnit{dimensional, km s⁻¹·⁰}, 
+1.0</code></pre><p>Can also be a vector:</p><pre><code class="language-julia hljs">julia&gt; T = GeoUnit(100K:10.0K:1000K)
+GeoUnit{dimensional, K}, 
+100.0:10.0:1000.0</code></pre><p>The numerical value is obtained with:</p><pre><code class="language-julia hljs">julia&gt; NumValue(c)
+1.0</code></pre><p>It&#39;s unit with</p><pre><code class="language-julia hljs">julia&gt; Unit(c)
+km s⁻¹·⁰</code></pre><p>and the value with unit with</p><pre><code class="language-julia hljs">julia&gt; Value(c)
+1.0 km s⁻¹·⁰</code></pre><p>If you multiply or divide a <code>GeoUnit</code> with a normal number, we assume that you are no longer interested in the units and you&#39;ll get a Float64:</p><pre><code class="language-julia hljs">julia&gt; c*100
+100.0</code></pre><p>The value of the <code>GeoUnit</code> struct becomes clear once we non-dimensionalize it (as explained in more detail in a separate page). For that, first specify which characteristic values you want to use for non-dimensionalisation: </p><pre><code class="language-julia hljs">julia&gt; CharDim = GEO_units(length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas);</code></pre><p>Let&#39;s define a stress:</p><pre><code class="language-julia hljs">julia&gt; σ=GeoUnit(10MPa)
+GeoUnit{dimensional, MPa}, 
+10.0</code></pre><p>And transfer it to nondimensional units:</p><pre><code class="language-julia hljs">julia&gt; σ_nd = nondimensionalize(σ,CharDim)
+GeoUnit{nondimensional, MPa}, 
+0.9999999999999998</code></pre><p>Instead of 1e7 Pa, we now have 1.0; yet at the same time we know that the original unit of σ_nd was in MPa, which allows to transfer it back to dimensional units:</p><pre><code class="language-julia hljs">julia&gt; dimensionalize(σ_nd,CharDim)
+GeoUnit{dimensional, MPa}, 
+10.0</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../">« Home</a><a class="docs-footer-nextpage" href="../nondimensionalize/">Nondimensionalization »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 13 June 2022 09:34">Monday 13 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.9/man/gravity/index.html b/v0.3.9/man/gravity/index.html
new file mode 100644
index 000000000..82af42f33
--- /dev/null
+++ b/v0.3.9/man/gravity/index.html
@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Gravity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li class="is-active"><a class="tocitem" href>Gravity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Gravity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Gravity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/gravity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Gravitational-acceleration"><a class="docs-heading-anchor" href="#Gravitational-acceleration">Gravitational acceleration</a><a id="Gravitational-acceleration-1"></a><a class="docs-heading-anchor-permalink" href="#Gravitational-acceleration" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Gravitational acceleration is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">GravityConstant(g=9.81m/s^2)</code></pre><p>Set a constant value for the gravitational acceleration:</p><p class="math-container">\[    g  = 9.81 m s^{-2}\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/GravitationalAcceleration/GravitationalAcceleration.jl#L18-L25">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a> — <span class="docstring-category">Function</span></header><section><div><p>compute_gravity(s:&lt;AbstractGravity)</p><p>Returns the gravitational acceleration </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/GravitationalAcceleration/GravitationalAcceleration.jl#L52-L57">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../shearheating/">« Shear heating</a><a class="docs-footer-nextpage" href="../melting/">Partial Melting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 13 June 2022 09:34">Monday 13 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.9/man/heatcapacity/index.html b/v0.3.9/man/heatcapacity/index.html
new file mode 100644
index 000000000..d64210b86
--- /dev/null
+++ b/v0.3.9/man/heatcapacity/index.html
@@ -0,0 +1,16 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Heat Capacity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li class="is-active"><a class="tocitem" href>Heat Capacity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Heat Capacity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Heat Capacity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/heatcapacity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Heat-capacity"><a class="docs-heading-anchor" href="#Heat-capacity">Heat capacity</a><a id="Heat-capacity-1"></a><a class="docs-heading-anchor-permalink" href="#Heat-capacity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Heat capacity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity" href="#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantHeatCapacity(cp=1050J/mol/kg)</code></pre><p>Set a constant heat capacity:</p><p class="math-container">\[    cp  = cst\]</p><p>where <span>$cp$</span> is the thermal heat capacity [<span>$J/kg/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Energy/HeatCapacity.jl#L25-L33">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington" href="#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_HeatCapacity_Whittington()</code></pre><p>Sets a temperature-dependent heat capacity following the parameterization of Whittington et al. (2009), Nature:</p><p class="math-container">\[    Cp = (a + b T - c/T^2)/m \]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/kg/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <code>T</code>:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>molmass =   0.22178kg/mol </li></ul><p>Note that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than <span>$J/mol/K$</span> as in eq.3/4 of the paper)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Energy/HeatCapacity.jl#L69-L87">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">Cp = compute_heatcapacity(s:&lt;AbstractHeatCapacity, P, T)</code></pre><p>Returns the heat capacity <code>Cp</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the heat capacity laws implemented.</p><p>Currently available:</p><ul><li>ConstantHeatCapacity</li><li>T_HeatCapacity_Whittington</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia hljs">julia&gt; T  = (250:100:1250)*K;
+julia&gt; cp = T_HeatCapacity_Whittington()
+julia&gt; Cp = ComputeHeatCapacity(0,T,cp)
+11-element Vector{Unitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:
+  635.4269997294616 J kg⁻¹ K⁻¹
+  850.7470171764261 J kg⁻¹ K⁻¹
+  962.0959598489883 J kg⁻¹ K⁻¹
+ 1037.5420433770641 J kg⁻¹ K⁻¹
+ 1097.3517921966488 J kg⁻¹ K⁻¹
+ 1149.2745563671706 J kg⁻¹ K⁻¹
+ 1157.7915050948404 J kg⁻¹ K⁻¹
+ 1172.3554874197264 J kg⁻¹ K⁻¹
+ 1186.9194697445964 J kg⁻¹ K⁻¹
+  1201.483452069455 J kg⁻¹ K⁻¹
+ 1216.0474343943067 J kg⁻¹ K⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Energy/HeatCapacity.jl#L174-L204">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_heatcapacity!(cp_array::AbstractArray{_T, N},s::T_HeatCapacity_Whittington{_T}, T::_T=zero(_T), P::_T=zero(_T)) where {_T,N}</code></pre><p>Computes T-dependent heat capacity in-place    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Energy/HeatCapacity.jl#L122-L126">source</a></section><section><div><pre><code class="nohighlight hljs">compute_heatcapacity!(Cp::AbstractArray{_T, N}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct, 1}, PhaseRatios::AbstractArray{_T, M}, P::AbstractArray{_T, N},T::AbstractArray{_T, N})</code></pre><p>In-place computation of heat capacity <code>Cp</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Energy/HeatCapacity.jl#L236-L242">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plasticity/">« Plasticity</a><a class="docs-footer-nextpage" href="../conductivity/">Conductivity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 13 June 2022 09:34">Monday 13 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.9/man/latentheat/index.html b/v0.3.9/man/latentheat/index.html
new file mode 100644
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--- /dev/null
+++ b/v0.3.9/man/latentheat/index.html
@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Latent heat · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li class="is-active"><a class="tocitem" href>Latent heat</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Latent heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Latent heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/latentheat.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Latent-heat"><a class="docs-heading-anchor" href="#Latent-heat">Latent heat</a><a id="Latent-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Latent-heat" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Latent heat (of crystallisation) is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat" href="#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantLatentHeat(Q_L=400kJ/kg)</code></pre><p>Set a constant latent heat:</p><p class="math-container">\[    Q_L  = cst\]</p><p>where <span>$Q_L$</span> is the latent heat [<span>$kJ/kg$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Energy/LatentHeat.jl#L23-L31">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.LatentHeat.compute_latent_heat</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../conductivity/">« Conductivity</a><a class="docs-footer-nextpage" href="../radioactiveheating/">Radioactive heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 13 June 2022 09:34">Monday 13 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>List of functions · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li class="is-active"><a class="tocitem" href>List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>List of functions</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>List of functions</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/listfunctions.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="List-of-all-functions"><a class="docs-heading-anchor" href="#List-of-all-functions">List of all functions</a><a id="List-of-all-functions-1"></a><a class="docs-heading-anchor-permalink" href="#List-of-all-functions" title="Permalink"></a></h1><p>This page details the some of the guidelines that should be followed when contributing to this package.</p><ul><li><a href="../nondimensionalize/#GeoParams.Units"><code>GeoParams.Units</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.CreepLaw.DislocationCreep"><code>GeoParams.MaterialParameters.CreepLaw.DislocationCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.CreepLaw.LinearViscous"><code>GeoParams.MaterialParameters.CreepLaw.LinearViscous</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.CreepLaw.PowerlawViscous"><code>GeoParams.MaterialParameters.CreepLaw.PowerlawViscous</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.Elasticity.ConstantElasticity"><code>GeoParams.MaterialParameters.Elasticity.ConstantElasticity</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington</code></a></li><li><a href="../latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a></li><li><a href="../phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a></li><li><a href="../plasticity/#GeoParams.MaterialParameters.Plasticity.DruckerPrager"><code>GeoParams.MaterialParameters.Plasticity.DruckerPrager</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_4thOrder"><code>GeoParams.MeltingParam.MeltingParam_4thOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_5thOrder"><code>GeoParams.MeltingParam.MeltingParam_5thOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Assimilation"><code>GeoParams.MeltingParam.MeltingParam_Assimilation</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Quadratic"><code>GeoParams.MeltingParam.MeltingParam_Quadratic</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.SmoothMelting"><code>GeoParams.MeltingParam.SmoothMelting</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.TASclassificationData"><code>GeoParams.TASclassification.TASclassificationData</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.ZirconAgeData"><code>GeoParams.ZirconAges.ZirconAgeData</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.CreepLaw.SetDislocationCreep"><code>GeoParams.MaterialParameters.CreepLaw.SetDislocationCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII"><code>GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII"><code>GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate"><code>GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate!"><code>GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate!</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a></li><li><a href="../plasticity/#GeoParams.MaterialParameters.Plasticity.compute_yieldfunction"><code>GeoParams.MaterialParameters.Plasticity.compute_yieldfunction</code></a></li><li><a href="../plasticity/#GeoParams.MaterialParameters.Plasticity.compute_yieldfunction!"><code>GeoParams.MaterialParameters.Plasticity.compute_yieldfunction!</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity!"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity!</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity!"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity!</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.melt_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.melt_correction</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_dϕdT"><code>GeoParams.MeltingParam.compute_dϕdT</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_dϕdT!"><code>GeoParams.MeltingParam.compute_dϕdT!</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a></li><li><a href="../phasediagrams/#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a></li><li><a href="../plotting/#GeoParams.PlotConductivity"><code>GeoParams.PlotConductivity</code></a></li><li><a href="../plotting/#GeoParams.PlotHeatCapacity"><code>GeoParams.PlotHeatCapacity</code></a></li><li><a href="../melting/#GeoParams.PlotMeltFraction"><code>GeoParams.PlotMeltFraction</code></a></li><li><a href="../plotting/#GeoParams.PlotPhaseDiagram"><code>GeoParams.PlotPhaseDiagram</code></a></li><li><a href="../plotting/#GeoParams.PlotStressStrainrate_CreepLaw"><code>GeoParams.PlotStressStrainrate_CreepLaw</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.computeTASclassification"><code>GeoParams.TASclassification.computeTASclassification</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.retrieveTASrockType"><code>GeoParams.TASclassification.retrieveTASrockType</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.compute_zircon_age_PDF"><code>GeoParams.ZirconAges.compute_zircon_age_PDF</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.compute_zircons_Ttpath"><code>GeoParams.ZirconAges.compute_zircons_Ttpath</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.zircon_age_PDF"><code>GeoParams.ZirconAges.zircon_age_PDF</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a></li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plotting/">« Plotting</a><a class="docs-footer-nextpage" href="../contributing/">Contributing »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 13 June 2022 09:34">Monday 13 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.9/man/materialparameters/index.html b/v0.3.9/man/materialparameters/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Material Parameters · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li class="is-active"><a class="tocitem" href>Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Material Parameters</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Material Parameters</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/materialparameters.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="MaterialParameters"><a class="docs-heading-anchor" href="#MaterialParameters">MaterialParameters</a><a id="MaterialParameters-1"></a><a class="docs-heading-anchor-permalink" href="#MaterialParameters" title="Permalink"></a></h1><p>Material properties for a given phase can be set with <code>SetMaterialParams</code>, whereas all properties are  stored in the <code>MaterialParams</code> structure. Information about the material parameter is found at <code>MaterialParamsInfo</code>. This can be employed </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParamsInfo" href="#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MaterialParamsInfo</code></pre><p>Structure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.</p><p>Usually used in combination with <code>param_info(the_parameter_of_interest)</code></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/MaterialParameters.jl#L22-L30">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SetMaterialParams" href="#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetMaterialParams(; Name::String=&quot;&quot;, Phase::Int64=1,
+                    Density             =   nothing, 
+                    Gravity             =   nothing,
+                    CreepLaws           =   nothing, 
+                    Elasticity          =   nothing, 
+                    Plasticity          =   nothing, 
+                    Conductivity        =   nothing, 
+                    HeatCapacity        =   nothing, 
+                    RadioactiveHeat     =   nothing,
+                    LatentHeat          =   nothing,
+                    ShearHeat           =   nothing,
+                    Melting             =   nothing,
+                    SeismicVelocity     =   nothing,
+                    CharDim::GeoUnits   =   nothing)</code></pre><p>Sets material parameters for a given phase. </p><p>If <code>CharDim</code> is specified the input parameters are non-dimensionalized.   Note that if <code>Density</code> is specified, we also set <code>Gravity</code> even if not explicitly listed</p><p><strong>Examples</strong></p><p>Define two viscous creep laws &amp; constant density:</p><pre><code class="language-julia-repl hljs">julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;,
+                       Density   = ConstantDensity(),
+                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))
+Phase 1 : Viscous Matrix
+        | [dimensional units]
+        | 
+        |-- Density           : Constant density: ρ=2900 kg m⁻³ 
+        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  
+        |                       Linear viscosity: η=1.0e21 Pa s</code></pre><p>Define two viscous creep laws &amp; P/T dependent density and nondimensionalize</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);
+julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;, Phase=33,
+                              Density   = PT_Density(),
+                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),
+                              CharDim   = CharUnits_GEO)
+Phase 33: Viscous Matrix
+        | [non-dimensional units]
+        | 
+        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0 
+        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18 
+        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001  
+        |                       Linear viscosity: η=10000.0 </code></pre><p>You can also create an array that holds several parameters:</p><pre><code class="language-julia-repl hljs">julia&gt; MatParam        =   Array{MaterialParams, 1}(undef, 2);
+julia&gt; Phase           =   1;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Upper Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                            Density  = ConstantDensity(ρ=2900kg/m^3));
+julia&gt; Phase           =   2;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Lower Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),
+                            Density  = PT_Density(ρ0=3000kg/m^3));
+julia&gt; MatParam
+2-element Vector{MaterialParams}:
+ Phase 1 : Upper Crust
+    | [dimensional units]
+    | 
+    |-- Density           : Constant density: ρ=2900 kg m⁻³ 
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  
+    |                       Linear viscosity: η=1.0e23 Pa s 
+                            
+ Phase 2 : Lower Crust
+    | [dimensional units]
+    | 
+    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa 
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹  
+    |                       Linear viscosity: η=1.0e21 Pa s </code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/MaterialParameters.jl#L89-L173">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParams" href="#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MaterialParams</code></pre><p>Structure that holds all material parameters for a given phase</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/MaterialParameters.jl#L53-L58">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../nondimensionalize/">« Nondimensionalization</a><a class="docs-footer-nextpage" href="../density/">Density »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 13 June 2022 09:34">Monday 13 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.9/man/melting/index.html b/v0.3.9/man/melting/index.html
new file mode 100644
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Partial Melting · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li class="is-active"><a class="tocitem" href>Partial Melting</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Plotting-routines"><span>Plotting routines</span></a></li></ul></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Partial Melting</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Partial Melting</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/melting.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Melting-Parameterizations"><a class="docs-heading-anchor" href="#Melting-Parameterizations">Melting Parameterizations</a><a id="Melting-Parameterizations-1"></a><a class="docs-heading-anchor-permalink" href="#Melting-Parameterizations" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>A number of melting parameterisations are implemented, which can be set with:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Caricchi" href="#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Caricchi()</code></pre><p>Implements the T-dependent melting parameterisation used by Caricchi, Simpson et al. (as for example described in Simpson) </p><p class="math-container">\[    \theta = {(a - (T + c)) \over b} \]</p><p class="math-container">\[    \phi_{melt} = {1.0 \over (1.0 + e^\theta)}\]</p><p>Note that T is in Kelvin. As default parameters we employ:</p><p class="math-container">\[b=23K,  a=800K , c=273.15K\]</p><p>Which gives a reasonable fit to experimental data of granodioritic composition (Piwinskii and Wyllie, 1968):</p><p><img src="../assets/img/MeltingParam_Caricchi.png" alt="MeltParam_Carrichi"/></p><p><strong>References</strong></p><ul><li>Simpson G. (2017) Practical finite element modelling in Earth Sciences Using MATLAB.</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/MeltFraction/MeltingParameterization.jl#L34-L56">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_5thOrder" href="#GeoParams.MeltingParam.MeltingParam_5thOrder"><code>GeoParams.MeltingParam.MeltingParam_5thOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_5thOrder(a,b,c,d,e,f,T_s,T_l)</code></pre><p>Uses a 5th order polynomial to describe the melt fraction <code>phi</code> between solidus temperature <code>T_s</code> and liquidus temperature <code>T_l</code></p><p class="math-container">\[    \phi = a T^5 + b T^4 + c T^3 + d T^2 + e T + f  \textrm{   for   } T_s ≤ T ≤ T_l\]</p><p class="math-container">\[    \phi = 1  \textrm{   if   } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0  \textrm{   if   } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_5thorder.png" alt="MeltingParam_5thOrder"/></p><p>The default values are for a composite liquid-line-of-descent:</p><ul><li>the upper part is for Andesite from: (Blatter, D. L. &amp; Carmichael, I. S. (2001) Hydrous phase equilibria of a Mexican highsilica andesite: a candidate for a mantle origin? Geochim. Cosmochim. Acta 65, 4043–4065</li><li>the lower part is extrapolated to the granitic minimum using the Marxer &amp; Ulmer LLD for Andesite (Marxer, F. &amp; Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. <em>Contributions Mineral. Petrol.</em> 174, 84)</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/MeltFraction/MeltingParameterization.jl#L116-L137">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_4thOrder" href="#GeoParams.MeltingParam.MeltingParam_4thOrder"><code>GeoParams.MeltingParam.MeltingParam_4thOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_4thOrder(b,c,d,e,f,T_s,T_l)</code></pre><p>Uses a 4th order polynomial to describe the melt fraction <code>phi</code> between solidus temperature <code>T_s</code> and liquidus temperature <code>T_l</code></p><p class="math-container">\[    \phi = b T^4 + c T^3 + d T^2 + e T + f  \textrm{   for   } T_s ≤ T ≤ T_l\]</p><p class="math-container">\[    \phi = 1 \textrm{   if   } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0  \textrm{   if   } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_4thorder.png" alt="MeltingParam_4thOrder"/></p><p>The default values are for Tonalite experiments from Marxer and Ulmer (2019):</p><ul><li>Marxer, F. &amp; Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. <em>Contributions Mineral. Petrol.</em> 174, 84</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/MeltFraction/MeltingParameterization.jl#L222-L242">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Quadratic" href="#GeoParams.MeltingParam.MeltingParam_Quadratic"><code>GeoParams.MeltingParam.MeltingParam_Quadratic</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Quadratic(T_s,T_l)</code></pre><p>Quadratic melt fraction parameterisation where melt fraction <span>$\phi$</span> depends only on solidus (<span>$T_s$</span>) and liquidus (<span>$T_l$</span>) temperature:</p><p class="math-container">\[    \phi = 1.0 - \left( {T_l - T} \over {T_l - T_s} \right)^2\]</p><p class="math-container">\[    \phi = 1.0 \textrm{ if } T&gt;T_l \]</p><p class="math-container">\[    \phi = 0.0 \textrm{ if } T&lt;T_s \]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_Quadratic.png" alt="MeltingParam_Quadratic"/></p><p>This was used, among others, in Tierney et al. (2016) Geology</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/MeltFraction/MeltingParameterization.jl#L324-L343">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Assimilation" href="#GeoParams.MeltingParam.MeltingParam_Assimilation"><code>GeoParams.MeltingParam.MeltingParam_Assimilation</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Assimilation(T_s,T_l,a)</code></pre><p>Melt fraction parameterisation that takes the assimilation of crustal host rocks into account, as used by Tierney et al. (2016) based upon a parameterisation of Spera and Bohrson (2001)</p><p>Here, the fraction of molten and assimilated host rocks <span>$\phi$</span> depends on the solidus (<span>$T_s$</span>) and liquidus (<span>$T_l$</span>) temperatures of the rocks, as well as on a parameter <span>$a=0.005$</span></p><p class="math-container">\[    X = \left( {T - T_s} \over {T_l - T_s} \right)\]</p><p class="math-container">\[    \phi = a \cdot \left( \exp^{2ln(100)X} - 1.0 \right) \textrm{ if } X ≤ 0.5\]</p><p class="math-container">\[    \phi = 1- a \cdot \exp^{2ln(100)(1-X)}  \textrm{ if } X &gt; 0.5\]</p><p class="math-container">\[    \phi = 1.0 \textrm{ if } T&gt;T_l \]</p><p class="math-container">\[    \phi = 0.0 \textrm{ if } T&lt;T_s \]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_Assimilation.png" alt="MeltingParam_Assimilation"/></p><p>This was used, among others, in Tierney et al. (2016), who employed as default parameters:</p><p class="math-container">\[   T_s=973.15, T_l=1173.15, a=0.005\]</p><p><strong>References</strong></p><ul><li>Spera, F.J., and Bohrson, W.A., 2001, Energy-Constrained Open-System Magmatic Processes I: General Model and Energy-Constrained Assimilation and Fractional Crystallization (EC- AFC) Formulation: Journal of Petrology, v. 42, p. 999–1018.</li><li>Tierney, C.R., Schmitt, A.K., Lovera, O.M., de Silva, S.L., 2016. Voluminous plutonism during volcanic quiescence revealed by thermochemical modeling of zircon. Geology 44, 683–686. https://doi.org/10.1130/G37968.1</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/MeltFraction/MeltingParameterization.jl#L421-L456">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.SmoothMelting" href="#GeoParams.MeltingParam.SmoothMelting"><code>GeoParams.MeltingParam.SmoothMelting</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">SmoothMelting(; p=MeltingParam_4thOrder(), k_sol=0.2/K,  k_liq=0.2/K)</code></pre><p>This smoothens the melting parameterisation <span>$p$</span> around the solidus <span>$T_{sol}$</span> and liquidus <span>$T_{liq}$</span> using a smoothened Heaviside step functions for the solidus:</p><p class="math-container">\[    H_{sol} =  {1.0 \over { 1 + \exp( -2 k_{sol} (T - T_{sol} - {2 \over k_{sol}}) )  }}\]</p><p>and liquidus:        </p><p class="math-container">\[    H_{liq} =  1.0 - {1.0 \over { 1 + \exp( -2 k_{liq} (T - T_{liq} + {2 \over k_{liq}}) )  }}\]</p><p>The resulting melt fraction <span>$\phi$</span> is computed from the original melt fraction <span>$\phi_0$</span> (computed using one of the methods above) as:</p><p class="math-container">\[    \phi =  \phi_0 H_{sol} H_{liq} + 1.0 - H_{liq}\]</p><p>The width of the smoothening zones is controlled by <span>$k_{sol}, k_{liq}$</span> (larger values = sharper boundary).</p><p>This is important, as jumps in the derivative <span>$dϕ/dT$</span> can cause numerical instabilities in latent heat computations, which is prevented with this smoothening.</p><p><strong>Example</strong></p><p>Let&#39;s consider a 4th order parameterisation:</p><pre><code class="language-julia hljs">julia&gt; using GeoParams, Plots
+julia&gt; p = MeltingParam_4thOrder();
+julia&gt; T= collect(650.0:1:1050.) .+ 273.15;
+julia&gt; T,phi,dϕdT =  PlotMeltFraction(p,T=T);</code></pre><p>The same but with smoothening:</p><pre><code class="language-julia hljs">julia&gt; p_s = SmoothMelting(p=MeltingParam_4thOrder(), k_liq=0.21/K);
+4th order polynomial melting curve: phi = -7.594512597174117e-10T^4 + 3.469192091489447e-6T^3 + -0.00592352980926T^2 + 4.482855645604745T + -1268.730161921053  963.15 K ≤ T ≤ 1270.15 K with smooth Heaviside function smoothening using k_sol=0.1 K⁻¹·⁰, k_liq=0.11 K⁻¹·⁰
+julia&gt; T_s,phi_s,dϕdT_s =  PlotMeltFraction(p_s,T=T);</code></pre><p>We can create plots of this with:</p><pre><code class="language-julia hljs">julia&gt; plt1 = plot(T.-273.15, phi, ylabel=&quot;Melt Fraction ϕ&quot;, color=:red, label=&quot;original&quot;, xlabel=&quot;Temperature [C]&quot;)
+julia&gt; plt1 = plot(plt1, T.-273.15, phi_s,  color=:black, label=&quot;smoothened&quot;, legend=:bottomright)
+julia&gt; plt2 = plot(T.-273.15, dϕdT, ylabel=&quot;dϕ/dT&quot;, color=:red, label=&quot;original&quot;, xlabel=&quot;Temperature [C]&quot;)
+julia&gt; plt2 = plot(plt2, T.-273.15, dϕdT_s,  color=:black, label=&quot;smoothened&quot;, legend=:topright)
+julia&gt; plot!(plt1,plt2,   xlabel=&quot;Temperature [C]&quot;, layout=(2,1))</code></pre><p>The derivative no longer has a jump now:</p><p><img src="../assets/img/MeltingParam_Smooth.png" alt="MeltingParam_Smooth"/></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/MeltFraction/MeltingParameterization.jl#L548-L599">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute the melt fraction at given <code>T</code> and <code>P</code>, use:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction!" href="#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_meltfraction!(ϕ::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T:AbstractArray{&lt;:AbstractFloat}, p::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/MeltFraction/MeltingParameterization.jl#L716-L720">source</a></section><section><div><pre><code class="nohighlight hljs">compute_meltfraction(ϕ::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/MeltFraction/MeltingParameterization.jl#L822-L826">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction" href="#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_meltfraction(P,T, p::AbstractPhaseDiagramsStruct)</code></pre><p>Computes melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/MeltFraction/MeltingParameterization.jl#L704-L708">source</a></section><section><div><pre><code class="nohighlight hljs">ϕ = compute_meltfraction(Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/MeltFraction/MeltingParameterization.jl#L815-L819">source</a></section></article><p>You can also obtain the derivative of melt fraction versus temperature with (useful to compute latent heat effects):</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_dϕdT!" href="#GeoParams.MeltingParam.compute_dϕdT!"><code>GeoParams.MeltingParam.compute_dϕdT!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_dϕdT!(dϕdT::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T:AbstractArray{&lt;:AbstractFloat}, p::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified. The derivative is computed by finite differencing.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/MeltFraction/MeltingParameterization.jl#L753-L758">source</a></section><section><div><pre><code class="nohighlight hljs">compute_dϕdT!(ϕ::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computates the derivative of melt fraction <code>ϕ</code> versus temperature <code>T</code>, <span>${\partial \phi} \over {\partial T}$</span> for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This is employed, for example, in computing latent heat terms in an implicit manner.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/MeltFraction/MeltingParameterization.jl#L837-L842">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_dϕdT" href="#GeoParams.MeltingParam.compute_dϕdT"><code>GeoParams.MeltingParam.compute_dϕdT</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_dϕdT(P,T, p::AbstractPhaseDiagramsStruct)</code></pre><p>Computes derivative of melt fraction vs T in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified. The derivative is computed by finite differencing.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/MeltFraction/MeltingParameterization.jl#L735-L740">source</a></section><section><div><pre><code class="nohighlight hljs">ϕ = compute_dϕdT(Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computates the derivative of melt fraction ϕ versus temperature <code>T</code> for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This is employed in computing latent heat terms in an implicit manner, for example</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/MeltFraction/MeltingParameterization.jl#L829-L834">source</a></section></article><p>Also note that phase diagrams can be imported using <code>PerpleX_LaMEM_Diagram</code>, which may also have melt content information.  The computational routines work with that as well.</p><h1 id="Plotting-routines"><a class="docs-heading-anchor" href="#Plotting-routines">Plotting routines</a><a id="Plotting-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting-routines" title="Permalink"></a></h1><p>You can use the routine <code>PlotMeltFraction</code> to create a plot, provided that the <code>Plots</code> package has been loaded</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotMeltFraction" href="#GeoParams.PlotMeltFraction"><code>GeoParams.PlotMeltFraction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">T,phi,plt = PlotMeltFraction(p::AbstractMeltingParam; T=nothing, plt=nothing, lbl=nothing)</code></pre><p>Creates a plot of temperature <code>T</code> vs. melt fraction, as specified in <code>p</code>.  The 1D curve can be evaluated at a specific pressure <code>P</code> which can be given as a scalar or as an array of the same size as <code>T</code></p><p><strong>Optional parameters</strong></p><ul><li><code>T</code>: temperature range</li><li><code>P</code>: pressure </li><li><code>plt</code>: a previously generated plotting object</li><li><code>lbl</code>: label of the curve</li></ul><p><strong>Example</strong></p><pre><code class="nohighlight hljs">julia&gt; p          =  MeltingParam_Caricchi()
+julia&gt; T,phi,dϕdT =  PlotMeltFraction(p)</code></pre><p>you can now save the figure to disk with:</p><pre><code class="nohighlight hljs">julia&gt; using Plots
+julia&gt; savefig(plt,&quot;MeltFraction.png&quot;)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Plotting.jl#L198-L221">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../gravity/">« Gravity</a><a class="docs-footer-nextpage" href="../TASclassification/">TAS classification »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 13 June 2022 09:34">Monday 13 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Nondimensionalization</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Nondimensionalization</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/nondimensionalize.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Nondimensionalization"><a class="docs-heading-anchor" href="#Nondimensionalization">Nondimensionalization</a><a id="Nondimensionalization-1"></a><a class="docs-heading-anchor-permalink" href="#Nondimensionalization" title="Permalink"></a></h1><p>Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between <code>GEO</code>, <code>SI</code> or <code>NO</code> units:</p><ul><li><code>SI</code> units assume all input and output is in <code>SI</code> units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).</li><li><code>GEO</code> units uses <code>SI</code> units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as <code>Myrs</code>,<code>km</code> or <code>MPa</code></li><li><code>NO</code> units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that <code>velocity</code> is given in <code>m/s</code>).</li></ul><p>A dimensional parameter can be transformed into a non-dimensional one with <code>nondimensionalize</code>.</p><h1 id="Specify-characteristic-values"><a class="docs-heading-anchor" href="#Specify-characteristic-values">Specify characteristic values</a><a id="Specify-characteristic-values-1"></a><a class="docs-heading-anchor-permalink" href="#Specify-characteristic-values" title="Permalink"></a></h1><p>Characteristic values can be defined in 3 ways.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units" href="#GeoParams.Units"><code>GeoParams.Units</code></a> — <span class="docstring-category">Module</span></header><section><div><pre><code class="language-julia hljs">This provides units and creates a non-dimensionalization object</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Units.jl#L1-L3">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.AbstractGeoUnit" href="#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><p>AbstractGeoUnit</p><p>Abstract supertype for geo units.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Units.jl#L57-L61">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnit" href="#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.
+
+Having that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.
+With the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Units.jl#L72-L79">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnits" href="#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">GeoUnits
+
+Structure that holds parameters used for non-dimensionalization</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Units.jl#L194-L198">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GEO_units" href="#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)</code></pre><p>Creates a non-dimensionalization object using GEO units.</p><p>GEO units implies that upon dimensionalization, <code>time</code> will be in <code>Myrs</code>, <code>length</code> in <code>km</code>, stress in <code>MPa</code>, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (<code>km</code> or <code>m</code>), provided the unit is specified.</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = GEO_units()
+Employing GEO units 
+Characteristic values: 
+         length:      1000 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C
+julia&gt; CharUnits.velocity
+1.0e-7 m s⁻¹</code></pre><p>If we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic <code>length</code>:</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = GEO_units(length=10km)
+Employing GEO units 
+Characteristic values: 
+         length:      10 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Units.jl#L248-L279">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.SI_units" href="#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)</code></pre><p>Specify the characteristic values using SI units </p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = SI_units(length=1000m)
+Employing SI units 
+Characteristic values: 
+         length:      1000 m
+         time:        1.0e19 s
+         stress:      10 Pa
+         temperature: 1000.0 K</code></pre><p>Note that the same can be achieved if the input is given in <code>km</code>:</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = SI_units(length=1km)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Units.jl#L303-L322">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.NO_units" href="#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)</code></pre><p>Specify the characteristic values in non-dimensional units</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GeoParams;
+julia&gt; CharUnits = NO_units()
+Employing NONE units 
+Characteristic values: 
+         length:      1
+         time:        1.0 
+         stress:      1
+         temperature: 1.0</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Units.jl#L345-L361">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_val" href="#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia hljs">This unpacks the numerical value of `GeoUnit` in a structure, without the units.
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_val ρ,α = r
+julia&gt; α
+4.0e-5
+julia&gt; typeof(α)
+Float64</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/unpack.jl#L4-L23">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_units" href="#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia hljs">This unpacks the numerical value with units of `GeoUnit` parameters in a structure
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_units ρ,α = r
+julia&gt; α
+4.0e-5 K⁻¹·⁰
+julia&gt; typeof(α)
+Quantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/unpack.jl#L44-L63">source</a></section></article><h1 id="(Non)-dimensionalize-parameters"><a class="docs-heading-anchor" href="#(Non)-dimensionalize-parameters">(Non)-dimensionalize parameters</a><a id="(Non)-dimensionalize-parameters-1"></a><a class="docs-heading-anchor-permalink" href="#(Non)-dimensionalize-parameters" title="Permalink"></a></h1><p>Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.nondimensionalize" href="#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">nondimensionalize(param, CharUnits::GeoUnits{TYPE})</code></pre><p>Nondimensionalizes <code>param</code> using the characteristic values specified in <code>CharUnits</code></p><p><strong>Example 1</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GeoParams;
+julia&gt; CharUnits =   GEO_units();
+julia&gt; v         =   3cm/yr
+3 cm yr⁻¹ 
+julia&gt; v_ND      =   nondimensionalize(v, CharUnits) 
+0.009506426344208684</code></pre><p><strong>Example 2</strong></p><p>In geodynamics one sometimes encounters more funky units</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits =   GEO_units();
+julia&gt; A         =   6.3e-2MPa^-3.05*s^-1
+0.063 MPa⁻³·⁰⁵ s⁻¹
+julia&gt; A_ND      =   nondimensionalize(A, CharUnits) 
+7.068716262102384e14</code></pre><p>In case you are interested to see how the units of <code>A</code> look like in different units, use this function from the <a href="https://github.com/PainterQubits/Unitful.jl">Unitful</a> package:</p><pre><code class="language-julia-repl hljs">julia&gt; uconvert(u&quot;Pa^-3.05*s^-1&quot;,A) 
+3.157479571851836e-20 Pa⁻³·⁰⁵</code></pre><p>and to see it decomposed in the basic <code>SI</code> units of length, mass and time:</p><pre><code class="language-julia-repl hljs">julia&gt; upreferred(A)
+3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Units.jl#L379-L413">source</a></section><section><div><pre><code class="nohighlight hljs">MatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Non-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Units.jl#L467-L472">source</a></section><section><div><pre><code class="nohighlight hljs">nondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>nondimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Units.jl#L494-L498">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.dimensionalize" href="#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes <code>param</code> into the dimensions <code>param_dim</code> using the characteristic values specified in <code>CharUnits</code>.  </p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits =   GEO_units();
+julia&gt; v_ND      =   nondimensionalize(3cm/yr, CharUnits) 
+0.031688087814028945
+julia&gt; v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) 
+3.0 cm yr⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Units.jl#L530-L544">source</a></section><section><div><pre><code class="nohighlight hljs">dimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Units.jl#L568-L573">source</a></section><section><div><pre><code class="nohighlight hljs">Dimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>Dimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Units.jl#L595-L599">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.isDimensional" href="#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">isDimensional(MatParam::AbstractMaterialParam)</code></pre><p><code>true</code> if MatParam is in dimensional units.    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Units.jl#L619-L623">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../geounit/">« GeoUnit</a><a class="docs-footer-nextpage" href="../materialparameters/">Material Parameters »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 13 June 2022 09:34">Monday 13 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Phase Diagrams · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" 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class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li class="is-active"><a class="tocitem" href>Phase Diagrams</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Perple_X"><span>Perple_X</span></a></li></ul></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Phase Diagrams</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Phase Diagrams</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/phasediagrams.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Phase-Diagrams"><a class="docs-heading-anchor" href="#Phase-Diagrams">Phase Diagrams</a><a id="Phase-Diagrams-1"></a><a class="docs-heading-anchor-permalink" href="#Phase-Diagrams" title="Permalink"></a></h1><p>It is possible to employ phase diagrams as lookup tables, which can be used to compute density, melt fraction or seismic properties, for example. </p><h1 id="Perple_X"><a class="docs-heading-anchor" href="#Perple_X">Perple_X</a><a id="Perple_X-1"></a><a class="docs-heading-anchor-permalink" href="#Perple_X" title="Permalink"></a></h1><p>A popular way to compute phase diagrams (pseudosections) for a given (fixed) chemical composition as a function of pressure and temperature is by using <a href="https://www.perplex.ethz.ch">Perple_X</a>. Once a stable assemblage is computed, through Gibbs energy minimisation, it allows you to output a large number of properties such as density, melt fraction or seismic velocities.</p><p>Within GeoParams, we can import this diagram (provided it is formatted in the same manner as <code>LaMEM</code> expects <code>Perple_X</code> input to be).</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PerpleX_LaMEM_Diagram" href="#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">PD_Data = PerpleX_LaMEM_Diagram(fname::String; CharDim = nothing)</code></pre><p>Reads a precomputed phase diagram in the <code>LaMEM/Perple_X</code> format (which is a phase diagram computed using <code>Perple_X</code>, but formatted in a manner that is readable using LaMEM). The data is stored in the <code>PhaseDiagram_LookupTable</code> structure.</p><p>If the <code>CharDim</code> object is specified, the values of all diagrams will be non-dimensionalized.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; PD_Data = PerpleX_LaMEM_Diagram(&quot;./test_data/Peridotite.in&quot;)
+Perple_X/LaMEM Phase Diagram Lookup Table: 
+                      File    :   ./test_data/Peridotite.in
+                      T       :   293.0 - 1573.000039
+                      P       :   1.0e7 - 2.9999999944e9
+                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp
+                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs
+                                  :Vp, :Vs, :VpVs</code></pre><p>Once imported, the properties on the diagram can be interpolated in a simple manner:</p><pre><code class="nohighlight hljs">julia&gt; PD_Data.Rho(1500,1e7)
+3042.836820256982</code></pre><p>This also works for vectors or arrays:</p><pre><code class="language-julia hljs">julia&gt; T = [1500 1800; 1233 1300]
+julia&gt; P = [1e8 1e9; 1e7 1e7]
+julia&gt; rho = PD_Data.Rho.(T,P)</code></pre><p>(Note the dot <code>.</code> in front of the bracket while evaluating arrays).</p><p>The fields that are available depend on what is listed in the diagram file.  The units of the fields are automatically evaluated, and employed to non-dimensionalize the parameters if <code>CharDim</code> is specified. </p><p><strong>Algorithm</strong></p><p>Internally, we employ linear interpolation, as provided by the <a href="https://github.com/JuliaMath/Interpolations.jl">Interpolations.jl</a> package. Values outside the range of the diagram are set to the boundary of the diagram. The interpolation object is directly encoded in the <code>PhaseDiagram_LookupTable</code>` object.  </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/PhaseDiagrams/PhaseDiagrams.jl#L39-L80">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable" href="#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Contains data of a Phase Diagram that is regularly spaced in P &amp; T</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/PhaseDiagrams/PhaseDiagrams.jl#L15-L17">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../zirconages/">« Zircon Ages</a><a class="docs-footer-nextpage" href="../seismicvelocity/">Seismic Velocity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 13 June 2022 09:34">Monday 13 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Plasticity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li class="is-active"><a class="tocitem" href>Plasticity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Implemented-laws"><span>Implemented  laws</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Plasticity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Plasticity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/plasticity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Plasticity"><a class="docs-heading-anchor" href="#Plasticity">Plasticity</a><a id="Plasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Plasticity" title="Permalink"></a></h1><p>Plasticity is a non;linear rheology bthat is actrivated once stresses exceed a certain yield criteria.</p><h1 id="Implemented-laws"><a class="docs-heading-anchor" href="#Implemented-laws">Implemented  laws</a><a id="Implemented-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-laws" title="Permalink"></a></h1><p>The following plastic law are implemented:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Plasticity.DruckerPrager" href="#GeoParams.MaterialParameters.Plasticity.DruckerPrager"><code>GeoParams.MaterialParameters.Plasticity.DruckerPrager</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DruckerPrager(ϕ=30, Ψ=0, C=10e6Pa)</code></pre><p>Sets parameters for Drucker-Prager plasticity, where the yield stress <span>$\sigma_{y}$</span> is computed by</p><p class="math-container">\[    \sigma_{y} = (P-P_f)\tan(ϕ) + C\]</p><p>with <span>$\phi$</span> being the friction angle (in degrees), <span>$C$</span> cohesion, <span>$P$</span> dynamic pressure and <span>$P_f$</span> the fluid pressure (both positive under compression).  </p><p><em>Yielding</em> occurs when the second invariant of the deviatoric stress tensor, <span>$\tau_{II}=(0.5\tau_{ij}\tau_{ij})^{0.5}$</span> touches the yield stress.  This can be computed with the yield function <span>$F$</span> and the plastic flow potential <span>$Q$</span>, which are respectively given by </p><p class="math-container">\[    F = \tau_{II} - \cos(ϕ)C - \sin(ϕ)(P-P_f)\]</p><p class="math-container">\[    Q = \tau_{II} - \sin(Ψ)(P-P_f) \]</p><p>Here, Ψ is the dilation angle, which must be zero for incompressible setups.</p><p>Plasticity is activated when <span>$F(\tau_{II}^{trial})$</span> (the yield function computed with a trial stress) is &gt;0. In that case, plastic strainrate <span>$\dot{\varepsilon}^{pl}_{ij}$</span> is computed by:</p><p class="math-container">\[    \dot{\varepsilon}^{pl}_{ij} =\dot{\lambda} {\partial Q \over \partial \sigma_{ij}}\]</p><p>where <span>$\dot{\lambda}$</span> is a (scalar) that is nonzero and chosen such that the resuling stress gives <span>$F(\tau_{II}^{final})=0$</span>, and <span>$\sigma_{ij}=-P + \tau_{ij}$</span> denotes the total stress tensor.   </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Plasticity/Plasticity.jl#L23-L48">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>Once a plastic rheology is defined, we can use the following routines to perform computations within the solvers</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Plasticity.compute_yieldfunction" href="#GeoParams.MaterialParameters.Plasticity.compute_yieldfunction"><code>GeoParams.MaterialParameters.Plasticity.compute_yieldfunction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_yieldfunction(s::DruckerPrager; P, τII_old, Pf, kwargs...)</code></pre><p>Computes the plastic yield function <code>F</code> for a given second invariant of the deviatoric stress tensor <code>τII</code>,  <code>P</code> the pressure, and <code>Pf</code> fluid pressure.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Plasticity/Plasticity.jl#L70-L74">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Plasticity.compute_yieldfunction!" href="#GeoParams.MaterialParameters.Plasticity.compute_yieldfunction!"><code>GeoParams.MaterialParameters.Plasticity.compute_yieldfunction!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_yieldfunction!(F::AbstractArray{_T,N}, s::DruckerPrager{_T}; P::AbstractArray{_T,N}, τII::AbstractArray{_T,N}, Pf=zero(P)::AbstractArray{_T,N}, kwargs...)</code></pre><p>Computes the plastic yield function <code>F</code> for Drucker-Prager plasticity in an in-place manner. Required input arrays are pressure <code>P</code> and the second invariant of the deviatoric stress tensor <code>τII</code> at every point.  You can optionally provide an array with fluid pressure <code>Pf</code> as well. </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Plasticity/Plasticity.jl#L77-L83">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../elasticity/">« Elasticity</a><a class="docs-footer-nextpage" href="../heatcapacity/">Heat Capacity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 13 June 2022 09:34">Monday 13 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Plotting · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li class="is-active"><a class="tocitem" href>Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Plotting</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Plotting</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/plotting.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Plotting"><a class="docs-heading-anchor" href="#Plotting">Plotting</a><a id="Plotting-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting" title="Permalink"></a></h1><p>We provide a number of plotting routines. Note that these plotting routines only become available once the <code>Plots</code> package is loaded.</p><h3 id="Plot-CreepLaws"><a class="docs-heading-anchor" href="#Plot-CreepLaws">Plot CreepLaws</a><a id="Plot-CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#Plot-CreepLaws" title="Permalink"></a></h3><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotStressStrainrate_CreepLaw" href="#GeoParams.PlotStressStrainrate_CreepLaw"><code>GeoParams.PlotStressStrainrate_CreepLaw</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">PlotStressStrainrate_CreepLaw(x::AbstractCreepLaw; p::CreepLawParams=nothing, Strainrate=(1e-18,1e-12), CreatePlot::Bool=false)</code></pre><p>Plots deviatoric stress versus deviatoric strain rate for a single creeplaw.      Note: if you want to create plots or use the <code>CreatePlot=true</code> option you need to install the <code>Plots.jl</code> package in julia     which is not added as a dependency here (as it is a rather large dependency).</p><p><strong>Example 1</strong></p><pre><code class="language-julia-repl hljs">julia&gt; x=LinearViscous()
+Linear viscosity: η=1.0e20 Pa s
+julia&gt; Tau_II, Eps_II,  = PlotStressStrainrate_CreepLaw(x);</code></pre><p>Next you can plot this with</p><pre><code class="language-julia-repl hljs">julia&gt; using Plots;
+julia&gt; plot(ustrip(Eps_II),ustrip(Tau_II), xaxis=:log, yaxis=:log,xlabel=&quot;strain rate [1/s]&quot;,ylabel=&quot;Dev. Stress [MPa]&quot;)</code></pre><p>Note that <code>ustrip</code> removes the units of the arrays, as many of the plotting packages don&#39;t know how to deal with that.</p><p>You could also have done:</p><pre><code class="language-julia-repl hljs">julia&gt; using Plots;
+julia&gt; Tau_II, Eps_II, pl = PlotStressStrainrate_CreepLaw(x,CreatePlot=true);</code></pre><p>which will generate the following plot <img src="../assets/img/Stress_Strainrate_LinearViscous.png" alt="subet1"/></p><p>The plot can be customized as </p><pre><code class="language-julia-repl hljs">julia&gt; plot(pl, title=&quot;Linear viscosity&quot;, linecolor=:red)</code></pre><p>See the <a href="https://github.com/JuliaPlots/Plots.jl">Plots.jl</a> package for more options.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Plotting.jl#L29-L63">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotHeatCapacity" href="#GeoParams.PlotHeatCapacity"><code>GeoParams.PlotHeatCapacity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">T,Cp,plt = PlotHeatCapacity(cp::AbstractHeatCapacity; T=nothing, plt=nothing, lbl=nothing)</code></pre><p>Creates a plot of temperature <code>T</code> vs. heat capacity, as specified in cp (which can be temperature-dependent).</p><p><strong>Optional parameters</strong></p><ul><li>T: temperature range</li><li>plt: a previously generated plotting object</li><li>lbl: label of the curve</li></ul><p><strong>Example</strong></p><pre><code class="nohighlight hljs">julia&gt; cp = T_HeatCapacity_Whittacker()
+julia&gt; T,Cp,plt = PlotHeatCapacity(cp)</code></pre><p>you can now save the figure to disk with:</p><pre><code class="nohighlight hljs">julia&gt; using Plots
+julia&gt; savefig(plt,&quot;Tdependent_heatcapacity.png&quot;)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Plotting.jl#L99-L120">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotConductivity" href="#GeoParams.PlotConductivity"><code>GeoParams.PlotConductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">T,Kk,plt = PlotConductivity(cp::AbstractConductivity; T=nothing, plt=nothing, lbl=nothing)</code></pre><p>Creates a plot of temperature <code>T</code> vs. thermal conductivity, as specified in <code>k</code> (which can be temperature-dependent).</p><p><strong>Optional parameters</strong></p><ul><li><code>T</code>: temperature range</li><li><code>plt</code>: a previously generated plotting object</li><li><code>lbl</code>: label of the curve</li></ul><p><strong>Example</strong></p><pre><code class="nohighlight hljs">julia&gt; k = T_Conductivity_Whittacker()
+julia&gt; T,KK,plt = PlotConductivity(k)</code></pre><p>you can now save the figure to disk with:</p><pre><code class="nohighlight hljs">julia&gt; using Plots
+julia&gt; savefig(plt,&quot;Tdependent_conductivity.png&quot;)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Plotting.jl#L147-L168">source</a></section></article><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotMeltFraction</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotPhaseDiagram" href="#GeoParams.PlotPhaseDiagram"><code>GeoParams.PlotPhaseDiagram</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">plt, data, Tvec, Pvec = PlotPhaseDiagram(p::PhaseDiagram_LookupTable; fieldname::Symbol, Tvec=nothing, Pvec=nothing)</code></pre><p>Plots a phase diagram as a function of <code>T</code> (x-axis) and <code>P</code> (y-axis). We either use the default ranges of the diagram, or you can specify the temperature and pressure ranges (while specifying units). The return arguments are the plotting object <code>plt</code> (so you can modify properties) as well as the data that is being plotted</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; PD_data =  Read_LaMEM_Perple_X_Diagram(&quot;Peridotite.in&quot;)
+Perple_X/LaMEM Phase Diagram Lookup Table: 
+                      File    :   Peridotite.in
+                      T       :   293.0 - 1573.000039
+                      P       :   1.0e7 - 2.9999999944e9
+                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp
+                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs
+                                  :Vp, :Vs, :VpVs, :cpxFrac
+julia&gt; PlotPhaseDiagram(PD_data,:meltFrac, Tvec=(100:1:1400).*C, Pvec=(.1:.1:30).*kbar )</code></pre><p>This will generate the following plot <img src="../assets/img/PhaseDiagram.png" alt="subet2"/></p><p>You can also use the default pressure/temperature ranges in the diagrams:</p><pre><code class="language-julia hljs">julia&gt; PlotPhaseDiagram(PD_data,:Rho)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Plotting.jl#L259-L287">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../seismicvelocity/">« Seismic Velocity</a><a class="docs-footer-nextpage" href="../listfunctions/">List of functions »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 13 June 2022 09:34">Monday 13 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.9/man/radioactiveheating/index.html b/v0.3.9/man/radioactiveheating/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Radioactive heat · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li class="is-active"><a class="tocitem" href>Radioactive heat</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Radioactive heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Radioactive heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/radioactiveheating.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Radioactive-heat"><a class="docs-heading-anchor" href="#Radioactive-heat">Radioactive heat</a><a id="Radioactive-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Radioactive-heat" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Radioactive heat sources are defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat" href="#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)</code></pre><p>Set a constant radioactive heat:</p><p class="math-container">\[    H_r  = cst\]</p><p>where <span>$H_r$</span> is the radioactive heat source [<span>$Watt/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Energy/RadioactiveHeat.jl#L24-L32">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat" href="#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ExpDepthDependent(H_0=1e-6Watt/m^3, h_r=10e3m, z_0=0m)</code></pre><p>Sets an exponential depth-dependent radioactive </p><p class="math-container">\[    H_r  = H_0 \exp \left( {- {(z - z_0) \over h_r}} \right)\]</p><p>where <span>$H_0$</span> is the radioactive heat source [<span>$Watt/m^3$</span>] at <span>$z=z_0$</span> which decays with depth over a characteristic distance <span>$h_r$</span>.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Energy/RadioactiveHeat.jl#L72-L80">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat!</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../latentheat/">« Latent heat</a><a class="docs-footer-nextpage" href="../shearheating/">Shear heating »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 13 June 2022 09:34">Monday 13 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.3.9/man/seismicvelocity/index.html b/v0.3.9/man/seismicvelocity/index.html
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href="#Seismic-velocity-correction-for-anelasticity"><span>Seismic velocity correction for anelasticity</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-3"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-3"><span>Computational routines</span></a></li></ul></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Seismic Velocity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Seismic Velocity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/seismicvelocity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Seismic-velocity"><a class="docs-heading-anchor" href="#Seismic-velocity">Seismic velocity</a><a id="Seismic-velocity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Seismic velocity can specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity" href="#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)</code></pre><p>Set a constant seismic P and S-wave velocity:</p><p class="math-container">\[    V_p = cst\]</p><p class="math-container">\[    V_s = cst\]</p><p>where <span>$V_p, V_s$</span> are the P-wave and S-wave velocities [<span>$km/s$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/SeismicVelocity/SeismicVelocity.jl#L27-L38">source</a></section></article><p>In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.</p><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To evaluate seismic velocity within a user routine, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity!" href="#GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity!"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_swave_velocity!(Vs_array::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, s::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of S-wave velocity as a function of <code>T,P</code>, in case we are using a lookup table.    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/SeismicVelocity/SeismicVelocity.jl#L121-L125">source</a></section><section><div><pre><code class="nohighlight hljs">compute_swave_velocity!(Vs_array::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of S-wave velocity <code>Vp</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/SeismicVelocity/SeismicVelocity.jl#L158-L164">source</a></section><section><div><pre><code class="nohighlight hljs">compute_swave_velocity!(Vs_array::AbstractArray{&lt;:AbstractFloat,N}, PhaseRatios::AbstractArray{&lt;:AbstractFloat, M}, P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of seismic S-wave velocity <code>Vs</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/SeismicVelocity/SeismicVelocity.jl#L212-L218">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity!" href="#GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity!"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_pwave_velocity!(Vp_array::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, s::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of P-wave velocity as a function of <code>T,P</code>, in case we are using a lookup table.    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/SeismicVelocity/SeismicVelocity.jl#L111-L115">source</a></section><section><div><pre><code class="nohighlight hljs">compute_pwave_velocity!(Vp_array::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of P-wave velocity <code>Vp</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/SeismicVelocity/SeismicVelocity.jl#L133-L139">source</a></section><section><div><pre><code class="nohighlight hljs">compute_pwave_velocity!(Vp_array::AbstractArray{&lt;:AbstractFloat,N}, PhaseRatios::AbstractArray{&lt;:AbstractFloat, M}, P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of seismic P-wave velocity <code>Vp</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/SeismicVelocity/SeismicVelocity.jl#L183-L189">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity" href="#GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_pwave_velocity(P,T, s::PhaseDiagram_LookupTable)</code></pre><p>Interpolates <code>Vp</code> as a function of <code>T,P</code>   </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/SeismicVelocity/SeismicVelocity.jl#L93-L97">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity" href="#GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity"><code>GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_swave_velocity(P,T, s::PhaseDiagram_LookupTable)</code></pre><p>Interpolates <code>Vs</code> as a function of <code>T,P</code>   </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/SeismicVelocity/SeismicVelocity.jl#L102-L106">source</a></section></article><h1 id="Seismic-velocity-correction-for-partial-melt"><a class="docs-heading-anchor" href="#Seismic-velocity-correction-for-partial-melt">Seismic velocity correction for partial melt</a><a id="Seismic-velocity-correction-for-partial-melt-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity-correction-for-partial-melt" title="Permalink"></a></h1><h1 id="Methods-2"><a class="docs-heading-anchor" href="#Methods-2">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-2" title="Permalink"></a></h1><p>The routine uses the reduction formulation of Clark et al., (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.</p><h1 id="Computational-routines-2"><a class="docs-heading-anchor" href="#Computational-routines-2">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-2" title="Permalink"></a></h1><p>To compute melt-content based correction for seismic waves velocities, you can use:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.melt_correction" href="#GeoParams.MaterialParameters.SeismicVelocity.melt_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.melt_correction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">    Vp_cor,Vs_cor = melt_correction(  Kb_L, Kb_S, Ks_S, ρL, ρS, Vp0, Vs0, ϕ, α)</code></pre><p>Corrects P- and S-wave velocities if the rock is partially molten. </p><p><strong>Input:</strong></p><ul><li><code>Kb_L</code>: adiabatic bulk modulus of melt</li><li><code>Kb_S</code>: adiabatic bulk modulus of the solid phase</li><li><code>Ks_S</code>: shear modulus of the solid phase</li><li><code>ρL</code>  : density of the melt</li><li><code>ρS</code>  : density of the solid phase</li><li><code>Vp0</code> : initial P-wave velocitiy of the solid phase</li><li><code>Vs0</code> : initial S-wave velocitiy of the solid phase</li><li><code>ϕ</code>   : melt volume fraction</li><li><code>α</code>   : contiguity coefficient defining the geometry of the solid framework (contiguity)         0.0 (layered melt distributed) &lt; 0.1 (grain boundary melt) &lt; 1.0 (melt in separated bubble pockets)</li></ul><p><strong>Output:</strong></p><ul><li><code>Vp_cor,Vs_cor</code> : corrected P-wave and S-wave velocities for melt fraction</li></ul><p>The routine uses the reduction formulation of Clark &amp; Lesher, (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.</p><p><strong>References:</strong></p><ul><li><p>Takei (1998) Constitutive mechanical relations of solid-liquid composites in terms of grain-boundary contiguity, Journal of Geophysical Research: Solid Earth, Vol(103)(B8), 18183–18203</p></li><li><p>Clark &amp; Lesher (2017) Elastic properties of silicate melts: Implications for low velocity zones at the lithosphere-asthenosphere boundary. Science Advances, Vol 3 (12), e1701312</p></li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/SeismicVelocity/SeismicVelocity.jl#L242-L274">source</a></section></article><h1 id="Seismic-velocity-correction-for-anelasticity"><a class="docs-heading-anchor" href="#Seismic-velocity-correction-for-anelasticity">Seismic velocity correction for anelasticity</a><a id="Seismic-velocity-correction-for-anelasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity-correction-for-anelasticity" title="Permalink"></a></h1><h1 id="Methods-3"><a class="docs-heading-anchor" href="#Methods-3">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-3" title="Permalink"></a></h1><p>The routine uses the reduction formulation of karato (1993), using the quality factor formulation from Behn et al. (2009)</p><h1 id="Computational-routines-3"><a class="docs-heading-anchor" href="#Computational-routines-3">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-3" title="Permalink"></a></h1><p>To compute a correction of S-wave velocity for anelasticity, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction" href="#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">    Vs_anel = anelastic_correction(water::Int64, Vs0::Float64,P::Float64,T::Float64)</code></pre><p>This routine computes a correction of S-wave velocity for anelasticity</p><p><strong>Input:</strong></p><ul><li><code>water</code>: water flag, 0 = dry; 1 = dampened; 2 = water saturated </li><li><code>Vs0</code>  : S-wave velocitiy of the solid phase (with or without melt correction)</li><li><code>P</code>    : pressure given in kbar</li><li><code>T</code>    : temperature given in °C</li></ul><p><strong>Output:</strong></p><ul><li><code>Vs_anel</code> : corrected S-wave velocity for anelasticity</li></ul><p>The routine uses the reduction formulation of Karato (1993), using the quality factor formulation from Behn et al. (2009)</p><p><strong>References:</strong></p><ul><li><p>Karato, S. I. (1993). Importance of anelasticity in the interpretation of seismic tomography. Geophysical research letters, 20(15), 1623-1626.</p></li><li><p>Behn, M. D., Hirth, G., &amp; Elsenbeck II, J. R. (2009). Implications of grain size evolution on the seismic structure of the oceanic upper mantle. Earth and Planetary Science Letters, 282(1-4), 178-189.</p></li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/SeismicVelocity/SeismicVelocity.jl#L341-L368">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../phasediagrams/">« Phase Diagrams</a><a class="docs-footer-nextpage" href="../plotting/">Plotting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 13 June 2022 09:34">Monday 13 June 2022</span>. 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href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Shear heating</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Shear heating</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/shearheating.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Shear-heating"><a class="docs-heading-anchor" href="#Shear-heating">Shear heating</a><a id="Shear-heating-1"></a><a class="docs-heading-anchor-permalink" href="#Shear-heating" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Heat caused by non-recoverable deformation can be specified in </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.ConstantShearheating" href="#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantShearheating(Χ=0.0NoUnits)</code></pre><p>Set the shear heating efficiency [0-1] parameter</p><p class="math-container">\[Χ  = cst\]</p><p>where <span>$\Chi$</span> is the shear heating efficiency [NoUnits]</p><p>Shear heating is computed as</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}(\dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Energy/Shearheating.jl#L22-L36">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">H_s = compute_shearheating(s:&lt;AbstractShearheating, τ, ε, ε_el)</code></pre><p>Computes the shear heating source term</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Energy/Shearheating.jl#L78-L93">source</a></section><section><div><pre><code class="nohighlight hljs">H_s = ComputeShearheating(s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij} \]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Energy/Shearheating.jl#L97-L110">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating!" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_shearheating!(H_s, s:&lt;AbstractShearheating,  τ, ε, ε_el)</code></pre><p>Computes the shear heating source term in-place</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul><p><em>NOTE:</em> The shear heating terms require the full deviatoric stress &amp; strain rate tensors, i.e.:</p><p class="math-container">\[2D: \tau_{ij} = \left(   
+                \begin{matrix}
+                    \tau_{xx} &amp; \tau_{xz} \\
+                    \tau_{zx} &amp; \tau_{zz} 
+                \end{matrix} 
+            \right)\]</p><p>Since <span>$\tau_{zx}=\tau_{xz}$</span>, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used! </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Energy/Shearheating.jl#L114-L141">source</a></section><section><div><pre><code class="nohighlight hljs">compute_shearheating!(H_s, s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term <code>H_s</code> in-place when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij} \]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/Energy/Shearheating.jl#L144-L157">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../radioactiveheating/">« Radioactive heat</a><a class="docs-footer-nextpage" href="../gravity/">Gravity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 13 June 2022 09:34">Monday 13 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Zircon Ages · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li class="is-active"><a class="tocitem" href>Zircon Ages</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Zircon Ages</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Zircon Ages</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/zirconages.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Zircon-age-parameterizations"><a class="docs-heading-anchor" href="#Zircon-age-parameterizations">Zircon age parameterizations</a><a id="Zircon-age-parameterizations-1"></a><a class="docs-heading-anchor-permalink" href="#Zircon-age-parameterizations" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Zircons are one of the ways in which we can date the age &amp; activity of magmatic systems.  Here, we provide a computational routine that computes the zircon age distribution from temperature-time paths</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.ZirconAgeData" href="#GeoParams.ZirconAges.ZirconAgeData"><code>GeoParams.ZirconAges.ZirconAgeData</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ZirconAgeData</code></pre><p>Struct that holds default parameters for the calculations</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/ZirconAge/ZirconAges.jl#L26-L30">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>There is one main routine with which you can compute zircon age probability density functions from a range of temperature-ime paths:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.compute_zircon_age_PDF" href="#GeoParams.ZirconAges.compute_zircon_age_PDF"><code>GeoParams.ZirconAges.compute_zircon_age_PDF</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">time_Ma, PDF_zircons, time_Ma_average, PDF_zircon_average, time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time = compute_zircon_age_PDF(time_years_vecs::Vector{Vector}, Tt_paths_Temp_vecs::Vector{Vector}; ZirconData::ZirconAgeData = ZirconAgeData(), bandwidth=bandwidth, n_analyses=300)</code></pre><p>This computes the PDF (probability density function) with zircon age data from Vectors with Tt-paths	</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/ZirconAge/ZirconAges.jl#L261-L266">source</a></section></article><p>This, in turn, calls two other routines:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.compute_zircons_Ttpath" href="#GeoParams.ZirconAges.compute_zircons_Ttpath"><code>GeoParams.ZirconAges.compute_zircons_Ttpath</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">prob, ages_eruptible, number_zircons, T_av_time, T_sd_time  compute_zircons_Ttpath(time_years::AbstractArray{Float64,1}, Tt_paths_Temp::AbstractArray{Float64,2}; ZirconData::ZirconAgeData)</code></pre><p>This computes the number of zircons produced from a series of temperature-time path&#39;s.  The Tt-paths are stored in a 2D matrix <code>Tt_paths_Temp</code> with rows being the temperature at time <code>time_years</code>.</p><p><strong>Input:</strong></p><ul><li><code>time_years</code> : vector of length <code>nt</code> with the time in years (since the beginning of the simulation) of the points provided</li><li><code>Tt_paths_Temp</code> : array of size <code>(nt,npaths)</code>` with the temperature of every path.</li></ul><p>Output:</p><ul><li><code>prob</code> : a vector that gives the relative probability that a zircon with a given age exists</li><li><code>ages_eruptible</code> : age of eruptble magma</li><li><code>number_zircons</code> : 1D array of size <code>(nt,)</code></li><li><code>T_av_time</code>: vector of size <code>nt</code> that contains the average T of the paths</li><li><code>T_sd_time</code>: vector of size <code>nt</code> that contains the standard deviation of the T of the paths</li></ul><p>This routine was developed based on an R-routine provided as electronic supplement in the paper:</p><ul><li>Weber, G., Caricchi, L., Arce, J.L., Schmitt, A.K., 2020. Determining the current size and state of subvolcanic magma reservoirs. Nat Commun 11, 5477. https://doi.org/10.1038/s41467-020-19084-2</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/ZirconAge/ZirconAges.jl#L91-L112">source</a></section><section><div><pre><code class="nohighlight hljs">time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time  = compute_zircons_Ttpath(time_years::Vector{Vector{Float64}}, Tt_paths_Temp::Vector{Vector{Float64}}; ZirconData::ZirconAgeData = ZirconAgeData())</code></pre><p>This accepts Vector{Vector} as input for time and temperature of each Tt-path. Here, the length of the vector can be variable between different points.</p><p>Internally, we interpolate this into a 2D matrix and a longer vector that includes all paths and a single vector with times </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/ZirconAge/ZirconAges.jl#L182-L189">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.zircon_age_PDF" href="#GeoParams.ZirconAges.zircon_age_PDF"><code>GeoParams.ZirconAges.zircon_age_PDF</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">zircon_age_PDF(ages_eruptible::AbstractArray{Float64,1}, number_zircons::AbstractArray{Float64,2}, bandwidth=1e5, n_analyses=300, ZirconData::ZirconAgeData)</code></pre><p>Compute probability density functions for zircon age path&#39;s describes in <code>number_zircons</code> with age <code>ages_eruptible</code> (both computed ). <code>bandwidth</code> is the smoothening window of the resulting curves (in years), whereas <code>n_analyses</code> are the number of analyses done. 	</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4c0b2ea931ff1b71e917dac19a3e6a1e54185419/src/ZirconAge/ZirconAges.jl#L226-L230">source</a></section></article><p>We also provide a plotting routine, provided the <code>Plots</code> package is loaded, which produces figures such as: <img src="../assets/img/ZirconAge_PDF.png" alt="subet3"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../TASclassification/">« TAS classification</a><a class="docs-footer-nextpage" href="../phasediagrams/">Phase Diagrams »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.19 on <span class="colophon-date" title="Monday 13 June 2022 09:34">Monday 13 June 2022</span>. Using Julia version 1.6.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Search · GeoParams.jl</title><script data-outdated-warner src="../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.044/juliamono.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.3/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL=".."</script><script 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Guide</span><ul><li><a class="tocitem" href="../man/geounit/">GeoUnit</a></li><li><a class="tocitem" href="../man/nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../man/materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../man/density/">Density</a></li><li><a class="tocitem" href="../man/creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../man/elasticity/">Elasticity</a></li><li><a class="tocitem" href="../man/plasticity/">Plasticity</a></li><li><a class="tocitem" href="../man/heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../man/conductivity/">Conductivity</a></li><li><a class="tocitem" href="../man/latentheat/">Latent heat</a></li><li><a class="tocitem" href="../man/radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../man/shearheating/">Shear heating</a></li><li><a class="tocitem" href="../man/gravity/">Gravity</a></li><li><a class="tocitem" href="../man/melting/">Partial 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+var documenterSearchIndex = {"docs":
+[{"location":"man/phasediagrams/#Phase-Diagrams","page":"Phase Diagrams","title":"Phase Diagrams","text":"","category":"section"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"It is possible to employ phase diagrams as lookup tables, which can be used to compute density, melt fraction or seismic properties, for example. ","category":"page"},{"location":"man/phasediagrams/#Perple_X","page":"Phase Diagrams","title":"Perple_X","text":"","category":"section"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"A popular way to compute phase diagrams (pseudosections) for a given (fixed) chemical composition as a function of pressure and temperature is by using Perple_X. Once a stable assemblage is computed, through Gibbs energy minimisation, it allows you to output a large number of properties such as density, melt fraction or seismic velocities.","category":"page"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"Within GeoParams, we can import this diagram (provided it is formatted in the same manner as LaMEM expects Perple_X input to be).","category":"page"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"GeoParams.MaterialParameters.PhaseDiagrams.PerpleX_LaMEM_Diagram\nGeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","category":"page"},{"location":"man/phasediagrams/#GeoParams.PerpleX_LaMEM_Diagram","page":"Phase Diagrams","title":"GeoParams.PerpleX_LaMEM_Diagram","text":"PD_Data = PerpleX_LaMEM_Diagram(fname::String; CharDim = nothing)\n\nReads a precomputed phase diagram in the LaMEM/Perple_X format (which is a phase diagram computed using Perple_X, but formatted in a manner that is readable using LaMEM). The data is stored in the PhaseDiagram_LookupTable structure.\n\nIf the CharDim object is specified, the values of all diagrams will be non-dimensionalized.\n\nExample\n\njulia> PD_Data = PerpleX_LaMEM_Diagram(\"./test_data/Peridotite.in\")\nPerple_X/LaMEM Phase Diagram Lookup Table: \n                      File    :   ./test_data/Peridotite.in\n                      T       :   293.0 - 1573.000039\n                      P       :   1.0e7 - 2.9999999944e9\n                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp\n                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs\n                                  :Vp, :Vs, :VpVs\n\nOnce imported, the properties on the diagram can be interpolated in a simple manner:\n\njulia> PD_Data.Rho(1500,1e7)\n3042.836820256982\n\nThis also works for vectors or arrays:\n\njulia> T = [1500 1800; 1233 1300]\njulia> P = [1e8 1e9; 1e7 1e7]\njulia> rho = PD_Data.Rho.(T,P)\n\n(Note the dot . in front of the bracket while evaluating arrays).\n\nThe fields that are available depend on what is listed in the diagram file.  The units of the fields are automatically evaluated, and employed to non-dimensionalize the parameters if CharDim is specified. \n\nAlgorithm\n\nInternally, we employ linear interpolation, as provided by the Interpolations.jl package. Values outside the range of the diagram are set to the boundary of the diagram. The interpolation object is directly encoded in the PhaseDiagram_LookupTable` object.  \n\n\n\n\n\n","category":"function"},{"location":"man/phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","page":"Phase Diagrams","title":"GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","text":"Contains data of a Phase Diagram that is regularly spaced in P & T\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#MaterialParameters","page":"Material Parameters","title":"MaterialParameters","text":"","category":"section"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"Material properties for a given phase can be set with SetMaterialParams, whereas all properties are  stored in the MaterialParams structure. Information about the material parameter is found at MaterialParamsInfo. This can be employed ","category":"page"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"MaterialParamsInfo\nSetMaterialParams\nMaterialParams","category":"page"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParamsInfo","text":"MaterialParamsInfo\n\nStructure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.\n\nUsually used in combination with param_info(the_parameter_of_interest)\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.SetMaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.SetMaterialParams","text":"SetMaterialParams(; Name::String=\"\", Phase::Int64=1,\n                    Density             =   nothing, \n                    Gravity             =   nothing,\n                    CreepLaws           =   nothing, \n                    Elasticity          =   nothing, \n                    Plasticity          =   nothing, \n                    Conductivity        =   nothing, \n                    HeatCapacity        =   nothing, \n                    RadioactiveHeat     =   nothing,\n                    LatentHeat          =   nothing,\n                    ShearHeat           =   nothing,\n                    Melting             =   nothing,\n                    SeismicVelocity     =   nothing,\n                    CharDim::GeoUnits   =   nothing)\n\nSets material parameters for a given phase. \n\nIf CharDim is specified the input parameters are non-dimensionalized.   Note that if Density is specified, we also set Gravity even if not explicitly listed\n\nExamples\n\nDefine two viscous creep laws & constant density:\n\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\",\n                       Density   = ConstantDensity(),\n                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))\nPhase 1 : Viscous Matrix\n        | [dimensional units]\n        | \n        |-- Density           : Constant density: ρ=2900 kg m⁻³ \n        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  \n        |                       Linear viscosity: η=1.0e21 Pa s\n\nDefine two viscous creep laws & P/T dependent density and nondimensionalize\n\njulia> CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\", Phase=33,\n                              Density   = PT_Density(),\n                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),\n                              CharDim   = CharUnits_GEO)\nPhase 33: Viscous Matrix\n        | [non-dimensional units]\n        | \n        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0 \n        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18 \n        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001  \n        |                       Linear viscosity: η=10000.0 \n\nYou can also create an array that holds several parameters:\n\njulia> MatParam        =   Array{MaterialParams, 1}(undef, 2);\njulia> Phase           =   1;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Upper Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                            Density  = ConstantDensity(ρ=2900kg/m^3));\njulia> Phase           =   2;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Lower Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),\n                            Density  = PT_Density(ρ0=3000kg/m^3));\njulia> MatParam\n2-element Vector{MaterialParams}:\n Phase 1 : Upper Crust\n    | [dimensional units]\n    | \n    |-- Density           : Constant density: ρ=2900 kg m⁻³ \n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  \n    |                       Linear viscosity: η=1.0e23 Pa s \n                            \n Phase 2 : Lower Crust\n    | [dimensional units]\n    | \n    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa \n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹  \n    |                       Linear viscosity: η=1.0e21 Pa s \n\n\n\n\n\n","category":"function"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParams","text":"MaterialParams\n\nStructure that holds all material parameters for a given phase\n\n\n\n\n\n","category":"type"},{"location":"man/contributing/#Contributing","page":"Contributing","title":"Contributing","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"You can contribute for example by adding new creep laws or by adding new constitutive relationships. If you invest a bit of time now, it will save others in the community a lot of time! The simplest way to do this is by cloning the repository, and creating a new branch for your feature. Once you are happy with what you added (and after you added a test to ensure that it will keep working with future changes), create a pull request and we will evaluate & merge it.","category":"page"},{"location":"man/contributing/#Style-Guide","page":"Contributing","title":"Style Guide","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Follow the style of the surrounding text when making changes. When adding new features please try to stick to the following points whenever applicable.","category":"page"},{"location":"man/contributing/#Julia","page":"Contributing","title":"Julia","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"4-space indentation;\nmodules spanning entire files should not be indented, but modules that have surrounding code should;\nno blank lines at the start or end of files;\ndo not manually align syntax such as = or :: over adjacent lines;\nuse function ... end when a method definition contains more than one toplevel expression;\nrelated short-form method definitions don't need a new line between them;\nunrelated or long-form method definitions must have a blank line separating each one;\nsurround all binary operators with whitespace except for ::, ^, and :;\nfiles containing a single module ... end must be named after the module;\nmethod arguments should be ordered based on the amount of usage within the method body;\nmethods extended from other modules must follow their inherited argument order, not the above rule;\nexplicit return should be preferred except in short-form method definitions;\navoid dense expressions where possible e.g. prefer nested ifs over complex nested ?s;\ninclude a trailing , in vectors, tuples, or method calls that span several lines;\ndo not use multiline comments (#= and =#);\nwrap long lines as near to 92 characters as possible, this includes docstrings;\nfollow the standard naming conventions used in Base.","category":"page"},{"location":"man/contributing/#Markdown","page":"Contributing","title":"Markdown","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Use unbalanced # headers, i.e. no # on the right hand side of the header text;\ninclude a single blank line between toplevel blocks;\nunordered lists must use * bullets with two preceding spaces;\ndo not hard wrap lines;\nuse emphasis (*) and bold (**) sparingly;\nalways use fenced code blocks instead of indented blocks;\nfollow the conventions outlined in the Julia documentation page on documentation.","category":"page"},{"location":"man/latentheat/#Latent-heat","page":"Latent heat","title":"Latent heat","text":"","category":"section"},{"location":"man/latentheat/#Methods","page":"Latent heat","title":"Methods","text":"","category":"section"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"Latent heat (of crystallisation) is defined as ","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","category":"page"},{"location":"man/latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","page":"Latent heat","title":"GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","text":"ConstantLatentHeat(Q_L=400kJ/kg)\n\nSet a constant latent heat:\n\n    Q_L  = cst\n\nwhere Q_L is the latent heat [kJkg].\n\n\n\n\n\n","category":"type"},{"location":"man/latentheat/#Computational-routines","page":"Latent heat","title":"Computational routines","text":"","category":"section"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"To compute, use this:","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"GeoParams.MaterialParameters.LatentHeat.compute_latent_heat","category":"page"},{"location":"man/zirconages/#Zircon-age-parameterizations","page":"Zircon Ages","title":"Zircon age parameterizations","text":"","category":"section"},{"location":"man/zirconages/#Methods","page":"Zircon Ages","title":"Methods","text":"","category":"section"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"Zircons are one of the ways in which we can date the age & activity of magmatic systems.  Here, we provide a computational routine that computes the zircon age distribution from temperature-time paths","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.ZirconAgeData","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.ZirconAgeData","page":"Zircon Ages","title":"GeoParams.ZirconAges.ZirconAgeData","text":"ZirconAgeData\n\nStruct that holds default parameters for the calculations\n\n\n\n\n\n","category":"type"},{"location":"man/zirconages/#Computational-routines","page":"Zircon Ages","title":"Computational routines","text":"","category":"section"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"There is one main routine with which you can compute zircon age probability density functions from a range of temperature-ime paths:","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.compute_zircon_age_PDF","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.compute_zircon_age_PDF","page":"Zircon Ages","title":"GeoParams.ZirconAges.compute_zircon_age_PDF","text":"time_Ma, PDF_zircons, time_Ma_average, PDF_zircon_average, time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time = compute_zircon_age_PDF(time_years_vecs::Vector{Vector}, Tt_paths_Temp_vecs::Vector{Vector}; ZirconData::ZirconAgeData = ZirconAgeData(), bandwidth=bandwidth, n_analyses=300)\n\nThis computes the PDF (probability density function) with zircon age data from Vectors with Tt-paths\t\n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"This, in turn, calls two other routines:","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.compute_zircons_Ttpath\nGeoParams.zircon_age_PDF","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.compute_zircons_Ttpath","page":"Zircon Ages","title":"GeoParams.ZirconAges.compute_zircons_Ttpath","text":"prob, ages_eruptible, number_zircons, T_av_time, T_sd_time  compute_zircons_Ttpath(time_years::AbstractArray{Float64,1}, Tt_paths_Temp::AbstractArray{Float64,2}; ZirconData::ZirconAgeData)\n\nThis computes the number of zircons produced from a series of temperature-time path's.  The Tt-paths are stored in a 2D matrix Tt_paths_Temp with rows being the temperature at time time_years.\n\nInput:\n\ntime_years : vector of length nt with the time in years (since the beginning of the simulation) of the points provided\nTt_paths_Temp : array of size (nt,npaths)` with the temperature of every path.\n\nOutput:\n\nprob : a vector that gives the relative probability that a zircon with a given age exists\nages_eruptible : age of eruptble magma\nnumber_zircons : 1D array of size (nt,)\nT_av_time: vector of size nt that contains the average T of the paths\nT_sd_time: vector of size nt that contains the standard deviation of the T of the paths\n\nThis routine was developed based on an R-routine provided as electronic supplement in the paper:\n\nWeber, G., Caricchi, L., Arce, J.L., Schmitt, A.K., 2020. Determining the current size and state of subvolcanic magma reservoirs. Nat Commun 11, 5477. https://doi.org/10.1038/s41467-020-19084-2\n\n\n\n\n\ntime_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time  = compute_zircons_Ttpath(time_years::Vector{Vector{Float64}}, Tt_paths_Temp::Vector{Vector{Float64}}; ZirconData::ZirconAgeData = ZirconAgeData())\n\nThis accepts Vector{Vector} as input for time and temperature of each Tt-path. Here, the length of the vector can be variable between different points.\n\nInternally, we interpolate this into a 2D matrix and a longer vector that includes all paths and a single vector with times \n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/#GeoParams.ZirconAges.zircon_age_PDF","page":"Zircon Ages","title":"GeoParams.ZirconAges.zircon_age_PDF","text":"zircon_age_PDF(ages_eruptible::AbstractArray{Float64,1}, number_zircons::AbstractArray{Float64,2}, bandwidth=1e5, n_analyses=300, ZirconData::ZirconAgeData)\n\nCompute probability density functions for zircon age path's describes in number_zircons with age ages_eruptible (both computed ). bandwidth is the smoothening window of the resulting curves (in years), whereas n_analyses are the number of analyses done. \t\n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"We also provide a plotting routine, provided the Plots package is loaded, which produces figures such as: (Image: subet3)","category":"page"},{"location":"man/TASclassification/#TAS-rock-classification","page":"TAS classification","title":"TAS rock classification","text":"","category":"section"},{"location":"man/TASclassification/#Methods","page":"TAS classification","title":"Methods","text":"","category":"section"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"When doing coupled petrological-geodynamic modelling, the evolution of the composition of the magma is more easily understood when a rock type is given. This routine is an implementation of the TAS diagram (Total Alkali (TA) vs Silica (S)) from Le Maitre et al., 2002.","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.TASclassificationData","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.TASclassificationData","page":"TAS classification","title":"GeoParams.TASclassification.TASclassificationData","text":"TASclassificationData\n\nStruct that holds default parameters for the TAS diagram\n\n\n\n\n\n","category":"type"},{"location":"man/TASclassification/#Computational-routine","page":"TAS classification","title":"Computational routine","text":"","category":"section"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"There is one routine with which you can retrieve the index of the TAS rock-type. The routine receives as an input a compositional vector [SiO2,Na2O+K2O] in wt% and sends back an index [1-15].","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.computeTASclassification","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.computeTASclassification","page":"TAS classification","title":"GeoParams.TASclassification.computeTASclassification","text":"classIndex computeTASclassification(chemComp::AbstractArray{_T,N}, ClassTASdata::TASclassificationData)\n\nThis compute the classification of the igneous rock using TAS diagram (Total Alkali (TA) vs Silica (S)).\n\nInput:\n\nchemComp : vector rock composition in oxide wt%\n\nOutput:\n\nclassIndex : an integer [0-14] corresponding to a TAS field (TASclassificationData.litho[classIndex])\n\nThis routine was developed based the TAS classification of Le Maitre et al., 2002\n\n\n\n\n\n","category":"function"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"Using the index of the rock-type you can get the name of the corresponding volcanic rock using the following routine.","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.retrieveTASrockType","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.retrieveTASrockType","page":"TAS classification","title":"GeoParams.TASclassification.retrieveTASrockType","text":"retrieveTASrockType(index::Int64; ClassTASdata::TASclassificationData = TASclassificationData())\n\nThis retrieves the name of the volcanic rock-type using the computed index\n\nInput:\n\nindex : integer [1-15]\n\nOutput:\n\nlitho : a string of the name of corresponding volcanic rock\n\n\n\n\n\n","category":"function"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"We also provide a plotting routine, provided the Plots package is loaded, which produces figures such as: (Image: subet3)","category":"page"},{"location":"man/radioactiveheating/#Radioactive-heat","page":"Radioactive heat","title":"Radioactive heat","text":"","category":"section"},{"location":"man/radioactiveheating/#Methods","page":"Radioactive heat","title":"Methods","text":"","category":"section"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"Radioactive heat sources are defined as ","category":"page"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat\nGeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat\n","category":"page"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","text":"ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)\n\nSet a constant radioactive heat:\n\n    H_r  = cst\n\nwhere H_r is the radioactive heat source [Wattm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat","text":"ExpDepthDependent(H_0=1e-6Watt/m^3, h_r=10e3m, z_0=0m)\n\nSets an exponential depth-dependent radioactive \n\n    H_r  = H_0 exp left( - (z - z_0) over h_r right)\n\nwhere H_0 is the radioactive heat source [Wattm^3] at z=z_0 which decays with depth over a characteristic distance h_r.\n\n\n\n\n\n","category":"type"},{"location":"man/radioactiveheating/#Computational-routines","page":"Radioactive heat","title":"Computational routines","text":"","category":"section"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"To compute, use this:","category":"page"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat\nGeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat!","category":"page"},{"location":"man/listfunctions/#List-of-all-functions","page":"List of functions","title":"List of all functions","text":"","category":"section"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity","page":"Seismic Velocity","title":"Seismic velocity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"Seismic velocity can specified in a number of ways","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","text":"ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)\n\nSet a constant seismic P and S-wave velocity:\n\n    V_p = cst\n\n    V_s = cst\n\nwhere V_p V_s are the P-wave and S-wave velocities [kms].\n\n\n\n\n\n","category":"type"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.","category":"page"},{"location":"man/seismicvelocity/#Computational-routines","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To evaluate seismic velocity within a user routine, use this:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.compute_swave_velocity!\nGeoParams.compute_pwave_velocity!\nGeoParams.compute_pwave_velocity\nGeoParams.compute_swave_velocity","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity!","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity!","text":"compute_swave_velocity!(Vs_array::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, s::PhaseDiagram_LookupTable)\n\nIn-place computation of S-wave velocity as a function of T,P, in case we are using a lookup table.    \n\n\n\n\n\ncompute_swave_velocity!(Vs_array::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of S-wave velocity Vp for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n\n\n\n\ncompute_swave_velocity!(Vs_array::AbstractArray{<:AbstractFloat,N}, PhaseRatios::AbstractArray{<:AbstractFloat, M}, P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of seismic S-wave velocity Vs for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity!","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity!","text":"compute_pwave_velocity!(Vp_array::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, s::PhaseDiagram_LookupTable)\n\nIn-place computation of P-wave velocity as a function of T,P, in case we are using a lookup table.    \n\n\n\n\n\ncompute_pwave_velocity!(Vp_array::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of P-wave velocity Vp for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n\n\n\n\ncompute_pwave_velocity!(Vp_array::AbstractArray{<:AbstractFloat,N}, PhaseRatios::AbstractArray{<:AbstractFloat, M}, P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of seismic P-wave velocity Vp for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.compute_pwave_velocity","text":"compute_pwave_velocity(P,T, s::PhaseDiagram_LookupTable)\n\nInterpolates Vp as a function of T,P   \n\n\n\n\n\n","category":"function"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.compute_swave_velocity","text":"compute_swave_velocity(P,T, s::PhaseDiagram_LookupTable)\n\nInterpolates Vs as a function of T,P   \n\n\n\n\n\n","category":"function"},{"location":"man/seismicvelocity/#Seismic-velocity-correction-for-partial-melt","page":"Seismic Velocity","title":"Seismic velocity correction for partial melt","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-2","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"The routine uses the reduction formulation of Clark et al., (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-2","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute melt-content based correction for seismic waves velocities, you can use:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.melt_correction","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.melt_correction","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.melt_correction","text":"    Vp_cor,Vs_cor = melt_correction(  Kb_L, Kb_S, Ks_S, ρL, ρS, Vp0, Vs0, ϕ, α)\n\nCorrects P- and S-wave velocities if the rock is partially molten. \n\nInput:\n\nKb_L: adiabatic bulk modulus of melt\nKb_S: adiabatic bulk modulus of the solid phase\nKs_S: shear modulus of the solid phase\nρL  : density of the melt\nρS  : density of the solid phase\nVp0 : initial P-wave velocitiy of the solid phase\nVs0 : initial S-wave velocitiy of the solid phase\nϕ   : melt volume fraction\nα   : contiguity coefficient defining the geometry of the solid framework (contiguity)         0.0 (layered melt distributed) < 0.1 (grain boundary melt) < 1.0 (melt in separated bubble pockets)\n\nOutput:\n\nVp_cor,Vs_cor : corrected P-wave and S-wave velocities for melt fraction\n\nThe routine uses the reduction formulation of Clark & Lesher, (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.\n\nReferences:\n\nTakei (1998) Constitutive mechanical relations of solid-liquid composites in terms of grain-boundary contiguity, Journal of Geophysical Research: Solid Earth, Vol(103)(B8), 18183–18203\nClark & Lesher (2017) Elastic properties of silicate melts: Implications for low velocity zones at the lithosphere-asthenosphere boundary. Science Advances, Vol 3 (12), e1701312\n\n\n\n\n\n","category":"function"},{"location":"man/seismicvelocity/#Seismic-velocity-correction-for-anelasticity","page":"Seismic Velocity","title":"Seismic velocity correction for anelasticity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-3","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"The routine uses the reduction formulation of karato (1993), using the quality factor formulation from Behn et al. (2009)","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-3","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute a correction of S-wave velocity for anelasticity, use this:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.anelastic_correction","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction","text":"    Vs_anel = anelastic_correction(water::Int64, Vs0::Float64,P::Float64,T::Float64)\n\nThis routine computes a correction of S-wave velocity for anelasticity\n\nInput:\n\nwater: water flag, 0 = dry; 1 = dampened; 2 = water saturated \nVs0  : S-wave velocitiy of the solid phase (with or without melt correction)\nP    : pressure given in kbar\nT    : temperature given in °C\n\nOutput:\n\nVs_anel : corrected S-wave velocity for anelasticity\n\nThe routine uses the reduction formulation of Karato (1993), using the quality factor formulation from Behn et al. (2009)\n\nReferences:\n\nKarato, S. I. (1993). Importance of anelasticity in the interpretation of seismic tomography. Geophysical research letters, 20(15), 1623-1626.\nBehn, M. D., Hirth, G., & Elsenbeck II, J. R. (2009). Implications of grain size evolution on the seismic structure of the oceanic upper mantle. Earth and Planetary Science Letters, 282(1-4), 178-189.\n\n\n\n\n\n","category":"function"},{"location":"man/plasticity/#Plasticity","page":"Plasticity","title":"Plasticity","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"Plasticity is a non;linear rheology bthat is actrivated once stresses exceed a certain yield criteria.","category":"page"},{"location":"man/plasticity/#Implemented-laws","page":"Plasticity","title":"Implemented  laws","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"The following plastic law are implemented:","category":"page"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"GeoParams.MaterialParameters.Plasticity.DruckerPrager","category":"page"},{"location":"man/plasticity/#GeoParams.MaterialParameters.Plasticity.DruckerPrager","page":"Plasticity","title":"GeoParams.MaterialParameters.Plasticity.DruckerPrager","text":"DruckerPrager(ϕ=30, Ψ=0, C=10e6Pa)\n\nSets parameters for Drucker-Prager plasticity, where the yield stress sigma_y is computed by\n\n    sigma_y = (P-P_f)tan(ϕ) + C\n\nwith phi being the friction angle (in degrees), C cohesion, P dynamic pressure and P_f the fluid pressure (both positive under compression).  \n\nYielding occurs when the second invariant of the deviatoric stress tensor, tau_II=(05tau_ijtau_ij)^05 touches the yield stress.  This can be computed with the yield function F and the plastic flow potential Q, which are respectively given by \n\n    F = tau_II - cos(ϕ)C - sin(ϕ)(P-P_f)\n\n    Q = tau_II - sin(Ψ)(P-P_f) \n\nHere, Ψ is the dilation angle, which must be zero for incompressible setups.\n\nPlasticity is activated when F(tau_II^trial) (the yield function computed with a trial stress) is >0. In that case, plastic strainrate dotvarepsilon^pl_ij is computed by:\n\n    dotvarepsilon^pl_ij =dotlambda partial Q over partial sigma_ij\n\nwhere dotlambda is a (scalar) that is nonzero and chosen such that the resuling stress gives F(tau_II^final)=0, and sigma_ij=-P + tau_ij denotes the total stress tensor.   \n\n\n\n\n\n","category":"type"},{"location":"man/plasticity/#Computational-routines","page":"Plasticity","title":"Computational routines","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"Once a plastic rheology is defined, we can use the following routines to perform computations within the solvers","category":"page"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"GeoParams.MaterialParameters.Plasticity.compute_yieldfunction\nGeoParams.MaterialParameters.Plasticity.compute_yieldfunction!","category":"page"},{"location":"man/plasticity/#GeoParams.MaterialParameters.Plasticity.compute_yieldfunction","page":"Plasticity","title":"GeoParams.MaterialParameters.Plasticity.compute_yieldfunction","text":"compute_yieldfunction(s::DruckerPrager; P, τII_old, Pf, kwargs...)\n\nComputes the plastic yield function F for a given second invariant of the deviatoric stress tensor τII,  P the pressure, and Pf fluid pressure.\n\n\n\n\n\n","category":"function"},{"location":"man/plasticity/#GeoParams.MaterialParameters.Plasticity.compute_yieldfunction!","page":"Plasticity","title":"GeoParams.MaterialParameters.Plasticity.compute_yieldfunction!","text":"compute_yieldfunction!(F::AbstractArray{_T,N}, s::DruckerPrager{_T}; P::AbstractArray{_T,N}, τII::AbstractArray{_T,N}, Pf=zero(P)::AbstractArray{_T,N}, kwargs...)\n\nComputes the plastic yield function F for Drucker-Prager plasticity in an in-place manner. Required input arrays are pressure P and the second invariant of the deviatoric stress tensor τII at every point.  You can optionally provide an array with fluid pressure Pf as well. \n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#Plotting","page":"Plotting","title":"Plotting","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"We provide a number of plotting routines. Note that these plotting routines only become available once the Plots package is loaded.","category":"page"},{"location":"man/plotting/#Plot-CreepLaws","page":"Plotting","title":"Plot CreepLaws","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"GeoParams.PlotStressStrainrate_CreepLaw\nGeoParams.PlotHeatCapacity\nGeoParams.PlotConductivity\nGeoParams.PlotMeltFraction\nGeoParams.PlotPhaseDiagram","category":"page"},{"location":"man/plotting/#GeoParams.PlotStressStrainrate_CreepLaw","page":"Plotting","title":"GeoParams.PlotStressStrainrate_CreepLaw","text":"PlotStressStrainrate_CreepLaw(x::AbstractCreepLaw; p::CreepLawParams=nothing, Strainrate=(1e-18,1e-12), CreatePlot::Bool=false)\n\nPlots deviatoric stress versus deviatoric strain rate for a single creeplaw.      Note: if you want to create plots or use the CreatePlot=true option you need to install the Plots.jl package in julia     which is not added as a dependency here (as it is a rather large dependency).\n\nExample 1\n\njulia> x=LinearViscous()\nLinear viscosity: η=1.0e20 Pa s\njulia> Tau_II, Eps_II,  = PlotStressStrainrate_CreepLaw(x);\n\nNext you can plot this with\n\njulia> using Plots;\njulia> plot(ustrip(Eps_II),ustrip(Tau_II), xaxis=:log, yaxis=:log,xlabel=\"strain rate [1/s]\",ylabel=\"Dev. Stress [MPa]\")\n\nNote that ustrip removes the units of the arrays, as many of the plotting packages don't know how to deal with that.\n\nYou could also have done:\n\njulia> using Plots;\njulia> Tau_II, Eps_II, pl = PlotStressStrainrate_CreepLaw(x,CreatePlot=true);\n\nwhich will generate the following plot (Image: subet1)\n\nThe plot can be customized as \n\njulia> plot(pl, title=\"Linear viscosity\", linecolor=:red)\n\nSee the Plots.jl package for more options.\n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#GeoParams.PlotHeatCapacity","page":"Plotting","title":"GeoParams.PlotHeatCapacity","text":"T,Cp,plt = PlotHeatCapacity(cp::AbstractHeatCapacity; T=nothing, plt=nothing, lbl=nothing)\n\nCreates a plot of temperature T vs. heat capacity, as specified in cp (which can be temperature-dependent).\n\nOptional parameters\n\nT: temperature range\nplt: a previously generated plotting object\nlbl: label of the curve\n\nExample\n\njulia> cp = T_HeatCapacity_Whittacker()\njulia> T,Cp,plt = PlotHeatCapacity(cp)\n\nyou can now save the figure to disk with:\n\njulia> using Plots\njulia> savefig(plt,\"Tdependent_heatcapacity.png\")\n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#GeoParams.PlotConductivity","page":"Plotting","title":"GeoParams.PlotConductivity","text":"T,Kk,plt = PlotConductivity(cp::AbstractConductivity; T=nothing, plt=nothing, lbl=nothing)\n\nCreates a plot of temperature T vs. thermal conductivity, as specified in k (which can be temperature-dependent).\n\nOptional parameters\n\nT: temperature range\nplt: a previously generated plotting object\nlbl: label of the curve\n\nExample\n\njulia> k = T_Conductivity_Whittacker()\njulia> T,KK,plt = PlotConductivity(k)\n\nyou can now save the figure to disk with:\n\njulia> using Plots\njulia> savefig(plt,\"Tdependent_conductivity.png\")\n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#GeoParams.PlotPhaseDiagram","page":"Plotting","title":"GeoParams.PlotPhaseDiagram","text":"plt, data, Tvec, Pvec = PlotPhaseDiagram(p::PhaseDiagram_LookupTable; fieldname::Symbol, Tvec=nothing, Pvec=nothing)\n\nPlots a phase diagram as a function of T (x-axis) and P (y-axis). We either use the default ranges of the diagram, or you can specify the temperature and pressure ranges (while specifying units). The return arguments are the plotting object plt (so you can modify properties) as well as the data that is being plotted\n\nExample\n\njulia> PD_data =  Read_LaMEM_Perple_X_Diagram(\"Peridotite.in\")\nPerple_X/LaMEM Phase Diagram Lookup Table: \n                      File    :   Peridotite.in\n                      T       :   293.0 - 1573.000039\n                      P       :   1.0e7 - 2.9999999944e9\n                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp\n                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs\n                                  :Vp, :Vs, :VpVs, :cpxFrac\njulia> PlotPhaseDiagram(PD_data,:meltFrac, Tvec=(100:1:1400).*C, Pvec=(.1:.1:30).*kbar )\n\nThis will generate the following plot (Image: subet2)\n\nYou can also use the default pressure/temperature ranges in the diagrams:\n\njulia> PlotPhaseDiagram(PD_data,:Rho)\n\n\n\n\n\n","category":"function"},{"location":"man/geounit/#GeoUnit","page":"GeoUnit","title":"GeoUnit","text":"","category":"section"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Most parameters have physical units (100km, 9.81 ms⁻²). Yet, within numerical solvers it is usually not a good idea to compute with the actual SI units as they (at least in geosciences) tend to result in very large/small numbers, which can cause in roundoff errors.  Therefore, we usually convert the dimensional units into non-dimensional ones befeore starting computations. The results can than be converted back to more convenient units for us when we generate the output (plots, for example).","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"This requires a wauy to store the dimensions of a parameter, but also, once they are made nondimensional, the original units (otherwise we can't convert them back to dimensional values).","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"For that reason, we use the GeoUnit structure, defined as ","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"struct GeoUnit{T,U}\n    val          :: T\n    unit         :: U\n    isdimensional:: Bool\nend","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"You can define a GeoUnit as:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> a = GeoUnit(100km)\nGeoUnit{dimensional, km}, \n100.0\njulia> b=GeoUnit(100s)\nGeoUnit{dimensional, s}, \n100.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Dividing the two gives the expected result","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> c=a/b\nGeoUnit{dimensional, km s⁻¹·⁰}, \n1.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Can also be a vector:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> T = GeoUnit(100K:10.0K:1000K)\nGeoUnit{dimensional, K}, \n100.0:10.0:1000.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"The numerical value is obtained with:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> NumValue(c)\n1.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"It's unit with","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> Unit(c)\nkm s⁻¹·⁰","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"and the value with unit with","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> Value(c)\n1.0 km s⁻¹·⁰","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"If you multiply or divide a GeoUnit with a normal number, we assume that you are no longer interested in the units and you'll get a Float64:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> c*100\n100.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"The value of the GeoUnit struct becomes clear once we non-dimensionalize it (as explained in more detail in a separate page). For that, first specify which characteristic values you want to use for non-dimensionalisation: ","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> CharDim = GEO_units(length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas);","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Let's define a stress:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> σ=GeoUnit(10MPa)\nGeoUnit{dimensional, MPa}, \n10.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"And transfer it to nondimensional units:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> σ_nd = nondimensionalize(σ,CharDim)\nGeoUnit{nondimensional, MPa}, \n0.9999999999999998","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Instead of 1e7 Pa, we now have 1.0; yet at the same time we know that the original unit of σ_nd was in MPa, which allows to transfer it back to dimensional units:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> dimensionalize(σ_nd,CharDim)\nGeoUnit{dimensional, MPa}, \n10.0","category":"page"},{"location":"man/creeplaws/#CreepLaws","page":"Creep laws","title":"CreepLaws","text":"","category":"section"},{"location":"man/creeplaws/#Implemented-creep-laws","page":"Creep laws","title":"Implemented creep laws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"The following viscous creep laws are implemented:","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"GeoParams.MaterialParameters.CreepLaw.LinearViscous\nGeoParams.MaterialParameters.CreepLaw.PowerlawViscous\nGeoParams.MaterialParameters.CreepLaw.DislocationCreep\nGeoParams.MaterialParameters.CreepLaw.SetDislocationCreep","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.CreepLaw.LinearViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.CreepLaw.LinearViscous","text":"LinearViscous(η=1e20Pa*s)\n\nDefines a linear viscous creeplaw \n\nThe (isotopic) linear viscous rheology is given by  \n\n    tau_ij = 2 eta dotvarepsilon_ij \n\nor\n\n    dotvarepsilon_ij  = tau_ij  over 2 eta \n\nwhere eta_0 is the reference viscosity [Pa*s] at reference strain rate dotvarepsilon_0[1/s], and n the power law exponent []. \n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.CreepLaw.PowerlawViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.CreepLaw.PowerlawViscous","text":"PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)\n\nDefines a power law viscous creeplaw as: \n\n    tau_ij^n  = 2 eta_0 left( dotvarepsilon_ij over dotvarepsilon_0 right)\n\nwhere eta is the effective viscosity [Pa*s].\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.CreepLaw.DislocationCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.CreepLaw.DislocationCreep","text":"DislocationCreep(n = 1.0NoUnits, r = 0.00.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )\n\nDefines the flow law parameter of a dislocation creep law  The (isotropic) dislocation creep law, as used by experimtalists, is given by  \n\n     dotgamma = A sigma_mathrmd^n f_mathrmH2O^r exp(-fracE+PVRT)\n\nwhere n is the power law exponent,   r is the exponent of fugacity dependence,  A is a pre-exponential factor MPa^(n+r),   E is the activation energy [kJ/mol], V is the activation volume [m^3/mol]. dotgamma is the ordinary strain rate [1/s],  and sigma_mathrmd is the differential stress which are converted into second invariants using the apparatus type that can be either AxialCompression, SimpleShear or Invariant. If the flow law paramters are already given as a function of second invariants, choose apparatus = \"Invariant\"\n\njulia> x2      =   DislocationCreep(n=3)\nDislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.CreepLaw.SetDislocationCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.CreepLaw.SetDislocationCreep","text":"SetDislocationCreep[\"Name of Dislocation Creep\"]\n\nThis is a dictionary with pre-defined creep laws    \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#Computational-routines-for-creep-laws","page":"Creep laws","title":"Computational routines for creep laws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"Once a creep rheology is defined, we can use the following routines to perform computations within the solvers","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"CreepLawVariables\nGeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII\nGeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII","page":"Creep laws","title":"GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_EpsII","text":"computeCreepLaw_EpsII(TauII, s:<AbstractCreepLaw, p::CreepLawVariables)\n\nReturns the strainrate invariant dotvarepsilon_II for a given deviatoric stress  invariant tau_II for any of the viscous creep laws implemented. p is a struct that can hold various parameters (such as P, T) that the creep law may need for the calculations \n\n    dotvarepsilon_II   = f( tau_II ) \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII","page":"Creep laws","title":"GeoParams.MaterialParameters.CreepLaw.computeCreepLaw_TauII","text":"computeCreepLaw_TauII(EpsII, s:<AbstractCreepLaw, p::CreepLawVariables)\n\nReturns the deviatoric stress invariant tau_II for a given strain rate   invariant dotvarepsilon_II for any of the viscous creep laws implemented. p is a struct that can hold various parameters (such as P, T) that the creep law may need for the calculations \n\n    tau_II  = f( dotvarepsilon_II ) \n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#Heat-capacity","page":"Heat Capacity","title":"Heat capacity","text":"","category":"section"},{"location":"man/heatcapacity/#Methods","page":"Heat Capacity","title":"Methods","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"Heat capacity is defined as ","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity\nGeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","text":"ConstantHeatCapacity(cp=1050J/mol/kg)\n\nSet a constant heat capacity:\n\n    cp  = cst\n\nwhere cp is the thermal heat capacity [JkgK].\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","text":"T_HeatCapacity_Whittington()\n\nSets a temperature-dependent heat capacity following the parameterization of Whittington et al. (2009), Nature:\n\n    Cp = (a + b T - cT^2)m \n\nwhere Cp is the heat capacity [JkgK], and abc are parameters that dependent on the temperature T:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nmolmass =   0.22178kg/mol \n\nNote that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than JmolK as in eq.3/4 of the paper)\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#Computational-routines","page":"Heat Capacity","title":"Computational routines","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"To compute, use this:","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity\nGeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","text":"Cp = compute_heatcapacity(s:<AbstractHeatCapacity, P, T)\n\nReturns the heat capacity Cp at any temperature T and pressure P using any of the heat capacity laws implemented.\n\nCurrently available:\n\nConstantHeatCapacity\nT_HeatCapacity_Whittington\n\nExample\n\nUsing dimensional units\n\njulia> T  = (250:100:1250)*K;\njulia> cp = T_HeatCapacity_Whittington()\njulia> Cp = ComputeHeatCapacity(0,T,cp)\n11-element Vector{Unitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:\n  635.4269997294616 J kg⁻¹ K⁻¹\n  850.7470171764261 J kg⁻¹ K⁻¹\n  962.0959598489883 J kg⁻¹ K⁻¹\n 1037.5420433770641 J kg⁻¹ K⁻¹\n 1097.3517921966488 J kg⁻¹ K⁻¹\n 1149.2745563671706 J kg⁻¹ K⁻¹\n 1157.7915050948404 J kg⁻¹ K⁻¹\n 1172.3554874197264 J kg⁻¹ K⁻¹\n 1186.9194697445964 J kg⁻¹ K⁻¹\n  1201.483452069455 J kg⁻¹ K⁻¹\n 1216.0474343943067 J kg⁻¹ K⁻¹\n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","text":"compute_heatcapacity!(cp_array::AbstractArray{_T, N},s::T_HeatCapacity_Whittington{_T}, T::_T=zero(_T), P::_T=zero(_T)) where {_T,N}\n\nComputes T-dependent heat capacity in-place    \n\n\n\n\n\ncompute_heatcapacity!(Cp::AbstractArray{_T, N}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct, 1}, PhaseRatios::AbstractArray{_T, M}, P::AbstractArray{_T, N},T::AbstractArray{_T, N})\n\nIn-place computation of heat capacity Cp for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#Melting-Parameterizations","page":"Partial Melting","title":"Melting Parameterizations","text":"","category":"section"},{"location":"man/melting/#Methods","page":"Partial Melting","title":"Methods","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"A number of melting parameterisations are implemented, which can be set with:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.MeltingParam_Caricchi\nGeoParams.MeltingParam.MeltingParam_5thOrder\nGeoParams.MeltingParam.MeltingParam_4thOrder\nGeoParams.MeltingParam.MeltingParam_Quadratic\nGeoParams.MeltingParam.MeltingParam_Assimilation\nGeoParams.MeltingParam.SmoothMelting","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Caricchi","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Caricchi","text":"MeltingParam_Caricchi()\n\nImplements the T-dependent melting parameterisation used by Caricchi, Simpson et al. (as for example described in Simpson) \n\n    theta = (a - (T + c)) over b \n\n    phi_melt = 10 over (10 + e^theta)\n\nNote that T is in Kelvin. As default parameters we employ:\n\nb=23K  a=800K  c=27315K\n\nWhich gives a reasonable fit to experimental data of granodioritic composition (Piwinskii and Wyllie, 1968):\n\n(Image: MeltParam_Carrichi)\n\nReferences\n\nSimpson G. (2017) Practical finite element modelling in Earth Sciences Using MATLAB.\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_5thOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_5thOrder","text":"MeltingParam_5thOrder(a,b,c,d,e,f,T_s,T_l)\n\nUses a 5th order polynomial to describe the melt fraction phi between solidus temperature T_s and liquidus temperature T_l\n\n    phi = a T^5 + b T^4 + c T^3 + d T^2 + e T + f  textrm   for    T_s  T  T_l\n\n    phi = 1  textrm   if    TT_l\n\n    phi = 0  textrm   if    TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_5thOrder)\n\nThe default values are for a composite liquid-line-of-descent:\n\nthe upper part is for Andesite from: (Blatter, D. L. & Carmichael, I. S. (2001) Hydrous phase equilibria of a Mexican highsilica andesite: a candidate for a mantle origin? Geochim. Cosmochim. Acta 65, 4043–4065\nthe lower part is extrapolated to the granitic minimum using the Marxer & Ulmer LLD for Andesite (Marxer, F. & Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. Contributions Mineral. Petrol. 174, 84)\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_4thOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_4thOrder","text":"MeltingParam_4thOrder(b,c,d,e,f,T_s,T_l)\n\nUses a 4th order polynomial to describe the melt fraction phi between solidus temperature T_s and liquidus temperature T_l\n\n    phi = b T^4 + c T^3 + d T^2 + e T + f  textrm   for    T_s  T  T_l\n\n    phi = 1 textrm   if    TT_l\n\n    phi = 0  textrm   if    TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_4thOrder)\n\nThe default values are for Tonalite experiments from Marxer and Ulmer (2019):\n\nMarxer, F. & Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. Contributions Mineral. Petrol. 174, 84\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Quadratic","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Quadratic","text":"MeltingParam_Quadratic(T_s,T_l)\n\nQuadratic melt fraction parameterisation where melt fraction phi depends only on solidus (T_s) and liquidus (T_l) temperature:\n\n    phi = 10 - left( T_l - T over T_l - T_s right)^2\n\n    phi = 10 textrm if  TT_l \n\n    phi = 00 textrm if  TT_s \n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_Quadratic)\n\nThis was used, among others, in Tierney et al. (2016) Geology\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Assimilation","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Assimilation","text":"MeltingParam_Assimilation(T_s,T_l,a)\n\nMelt fraction parameterisation that takes the assimilation of crustal host rocks into account, as used by Tierney et al. (2016) based upon a parameterisation of Spera and Bohrson (2001)\n\nHere, the fraction of molten and assimilated host rocks phi depends on the solidus (T_s) and liquidus (T_l) temperatures of the rocks, as well as on a parameter a=0005\n\n    X = left( T - T_s over T_l - T_s right)\n\n    phi = a cdot left( exp^2ln(100)X - 10 right) textrm if  X  05\n\n    phi = 1- a cdot exp^2ln(100)(1-X)  textrm if  X  05\n\n    phi = 10 textrm if  TT_l \n\n    phi = 00 textrm if  TT_s \n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_Assimilation)\n\nThis was used, among others, in Tierney et al. (2016), who employed as default parameters:\n\n   T_s=97315 T_l=117315 a=0005\n\nReferences\n\nSpera, F.J., and Bohrson, W.A., 2001, Energy-Constrained Open-System Magmatic Processes I: General Model and Energy-Constrained Assimilation and Fractional Crystallization (EC- AFC) Formulation: Journal of Petrology, v. 42, p. 999–1018.\nTierney, C.R., Schmitt, A.K., Lovera, O.M., de Silva, S.L., 2016. Voluminous plutonism during volcanic quiescence revealed by thermochemical modeling of zircon. Geology 44, 683–686. https://doi.org/10.1130/G37968.1\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.SmoothMelting","page":"Partial Melting","title":"GeoParams.MeltingParam.SmoothMelting","text":"SmoothMelting(; p=MeltingParam_4thOrder(), k_sol=0.2/K,  k_liq=0.2/K)\n\nThis smoothens the melting parameterisation p around the solidus T_sol and liquidus T_liq using a smoothened Heaviside step functions for the solidus:\n\n    H_sol =  10 over  1 + exp( -2 k_sol (T - T_sol - 2 over k_sol) )  \n\nand liquidus:        \n\n    H_liq =  10 - 10 over  1 + exp( -2 k_liq (T - T_liq + 2 over k_liq) )  \n\nThe resulting melt fraction phi is computed from the original melt fraction phi_0 (computed using one of the methods above) as:\n\n    phi =  phi_0 H_sol H_liq + 10 - H_liq\n\nThe width of the smoothening zones is controlled by k_sol k_liq (larger values = sharper boundary).\n\nThis is important, as jumps in the derivative dϕdT can cause numerical instabilities in latent heat computations, which is prevented with this smoothening.\n\nExample\n\nLet's consider a 4th order parameterisation:\n\njulia> using GeoParams, Plots\njulia> p = MeltingParam_4thOrder();\njulia> T= collect(650.0:1:1050.) .+ 273.15;\njulia> T,phi,dϕdT =  PlotMeltFraction(p,T=T);\n\nThe same but with smoothening:\n\njulia> p_s = SmoothMelting(p=MeltingParam_4thOrder(), k_liq=0.21/K);\n4th order polynomial melting curve: phi = -7.594512597174117e-10T^4 + 3.469192091489447e-6T^3 + -0.00592352980926T^2 + 4.482855645604745T + -1268.730161921053  963.15 K ≤ T ≤ 1270.15 K with smooth Heaviside function smoothening using k_sol=0.1 K⁻¹·⁰, k_liq=0.11 K⁻¹·⁰\njulia> T_s,phi_s,dϕdT_s =  PlotMeltFraction(p_s,T=T);\n\nWe can create plots of this with:\n\njulia> plt1 = plot(T.-273.15, phi, ylabel=\"Melt Fraction ϕ\", color=:red, label=\"original\", xlabel=\"Temperature [C]\")\njulia> plt1 = plot(plt1, T.-273.15, phi_s,  color=:black, label=\"smoothened\", legend=:bottomright)\njulia> plt2 = plot(T.-273.15, dϕdT, ylabel=\"dϕ/dT\", color=:red, label=\"original\", xlabel=\"Temperature [C]\")\njulia> plt2 = plot(plt2, T.-273.15, dϕdT_s,  color=:black, label=\"smoothened\", legend=:topright)\njulia> plot!(plt1,plt2,   xlabel=\"Temperature [C]\", layout=(2,1))\n\nThe derivative no longer has a jump now:\n\n(Image: MeltingParam_Smooth)\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#Computational-routines","page":"Partial Melting","title":"Computational routines","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"To compute the melt fraction at given T and P, use:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.compute_meltfraction!\nGeoParams.MeltingParam.compute_meltfraction","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction!","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction!","text":"compute_meltfraction!(ϕ::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T:AbstractArray{<:AbstractFloat}, p::PhaseDiagram_LookupTable)\n\nIn-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified.\n\n\n\n\n\ncompute_meltfraction(ϕ::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction","text":"compute_meltfraction(P,T, p::AbstractPhaseDiagramsStruct)\n\nComputes melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified.\n\n\n\n\n\nϕ = compute_meltfraction(Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"You can also obtain the derivative of melt fraction versus temperature with (useful to compute latent heat effects):","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.compute_dϕdT!\nGeoParams.MeltingParam.compute_dϕdT","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.compute_dϕdT!","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_dϕdT!","text":"compute_dϕdT!(dϕdT::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T:AbstractArray{<:AbstractFloat}, p::PhaseDiagram_LookupTable)\n\nIn-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified. The derivative is computed by finite differencing.\n\n\n\n\n\ncompute_dϕdT!(ϕ::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputates the derivative of melt fraction ϕ versus temperature T, partial phi over partial T for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays. This is employed, for example, in computing latent heat terms in an implicit manner.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#GeoParams.MeltingParam.compute_dϕdT","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_dϕdT","text":"compute_dϕdT(P,T, p::AbstractPhaseDiagramsStruct)\n\nComputes derivative of melt fraction vs T in case we use a phase diagram lookup table. The table should have the column :meltFrac specified. The derivative is computed by finite differencing.\n\n\n\n\n\nϕ = compute_dϕdT(Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputates the derivative of melt fraction ϕ versus temperature T for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays. This is employed in computing latent heat terms in an implicit manner, for example\n\n\n\n\n\n","category":"function"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"Also note that phase diagrams can be imported using PerpleX_LaMEM_Diagram, which may also have melt content information.  The computational routines work with that as well.","category":"page"},{"location":"man/melting/#Plotting-routines","page":"Partial Melting","title":"Plotting routines","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"You can use the routine PlotMeltFraction to create a plot, provided that the Plots package has been loaded","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.PlotMeltFraction","category":"page"},{"location":"man/melting/#GeoParams.PlotMeltFraction","page":"Partial Melting","title":"GeoParams.PlotMeltFraction","text":"T,phi,plt = PlotMeltFraction(p::AbstractMeltingParam; T=nothing, plt=nothing, lbl=nothing)\n\nCreates a plot of temperature T vs. melt fraction, as specified in p.  The 1D curve can be evaluated at a specific pressure P which can be given as a scalar or as an array of the same size as T\n\nOptional parameters\n\nT: temperature range\nP: pressure \nplt: a previously generated plotting object\nlbl: label of the curve\n\nExample\n\njulia> p          =  MeltingParam_Caricchi()\njulia> T,phi,dϕdT =  PlotMeltFraction(p)\n\nyou can now save the figure to disk with:\n\njulia> using Plots\njulia> savefig(plt,\"MeltFraction.png\")\n\n\n\n\n\n","category":"function"},{"location":"man/elasticity/#Elasticity","page":"Elasticity","title":"Elasticity","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"Elasticity is, in geodynamics, often used in combination with viscous and plastic rheology.","category":"page"},{"location":"man/elasticity/#Implemented-laws","page":"Elasticity","title":"Implemented laws","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"We provide the following elastic constitutive relationships:","category":"page"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"GeoParams.MaterialParameters.Elasticity.ConstantElasticity","category":"page"},{"location":"man/elasticity/#GeoParams.MaterialParameters.Elasticity.ConstantElasticity","page":"Elasticity","title":"GeoParams.MaterialParameters.Elasticity.ConstantElasticity","text":"ConstantElasticity(G, ν, K, E)\n\nStructure that holds parameters for constant, isotropic, linear elasticity.\n\n\n\n\n\n","category":"type"},{"location":"man/elasticity/#Computational-routines","page":"Elasticity","title":"Computational routines","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"We can compute the elastic strainrate with:","category":"page"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate\nGeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate!","category":"page"},{"location":"man/elasticity/#GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate","page":"Elasticity","title":"GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate","text":"compute_elastic_shear_strainrate(s::ConstantElasticity{_T}; τII, τII_old, dt)\n\nComputes elastic strainrate given the deviatoric stress at the current (τII) and old timestep (τII_old), for a timestep dt:\n\n    dotvarepsilon^el = 1 over 2 G D tau_II over Dt   1 over 2 G tau_II- tildetau_II^old over dt \n\nNote that we here solve the scalar equation, which is sufficient for isotropic cases. In tensor form, it would be\n\n    dotvarepsilon^el_ij = 1 over 2 G  tau_ij - tildetau_ij^old over dt \n\nhere tildetau_ij^old is the rotated old deviatoric stress tensor to ensure objectivity (this can be done with Jaumann derivative, or also by using the full rotational formula).\n\n\n\n\n\n","category":"function"},{"location":"man/elasticity/#GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate!","page":"Elasticity","title":"GeoParams.MaterialParameters.Elasticity.compute_elastic_shear_strainrate!","text":"compute_elastic_shear_strainrate!(ε_el::AbstractArray{_T,N}, s::ConstantElasticity{_T}; τII::AbstractArray{_T,N}, τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)\n\nIn-place computation of the elastic shear strainrate for given deviatoric stress invariants at the previous (τII_old) and new (τII) timestep, as well as the timestep dt  \n\n    dotvarepsilon^el = 1 over 2 G D tau_II over Dt   1 over 2 G tau_II- tau_II^old over dt \n\n\n\n\n\n","category":"function"},{"location":"man/shearheating/#Shear-heating","page":"Shear heating","title":"Shear heating","text":"","category":"section"},{"location":"man/shearheating/#Methods","page":"Shear heating","title":"Methods","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"Heat caused by non-recoverable deformation can be specified in ","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","text":"ConstantShearheating(Χ=0.0NoUnits)\n\nSet the shear heating efficiency [0-1] parameter\n\nΧ  = cst\n\nwhere Chi is the shear heating efficiency [NoUnits]\n\nShear heating is computed as\n\nH_s = Chi cdot tau_ij(dotvarepsilon_ij - dotvarepsilon^el_ij)\n\n\n\n\n\n","category":"type"},{"location":"man/shearheating/#Computational-routines","page":"Shear heating","title":"Computational routines","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"To compute, use this:","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.compute_shearheating\nGeoParams.MaterialParameters.Shearheating.compute_shearheating!","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating","text":"H_s = compute_shearheating(s:<AbstractShearheating, τ, ε, ε_el)\n\nComputes the shear heating source term\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\n\n\n\n\nH_s = ComputeShearheating(s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij \n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating!","text":"compute_shearheating!(H_s, s:<AbstractShearheating,  τ, ε, ε_el)\n\nComputes the shear heating source term in-place\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\nNOTE: The shear heating terms require the full deviatoric stress & strain rate tensors, i.e.:\n\n2D tau_ij = left(   \n                beginmatrix\n                    tau_xx  tau_xz \n                    tau_zx  tau_zz \n                endmatrix \n            right)\n\nSince tau_zx=tau_xz, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used! \n\n\n\n\n\ncompute_shearheating!(H_s, s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term H_s in-place when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij \n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#Nondimensionalization","page":"Nondimensionalization","title":"Nondimensionalization","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between GEO, SI or NO units:","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"SI units assume all input and output is in SI units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).\nGEO units uses SI units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as Myrs,km or MPa\nNO units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that velocity is given in m/s).","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"A dimensional parameter can be transformed into a non-dimensional one with nondimensionalize.","category":"page"},{"location":"man/nondimensionalize/#Specify-characteristic-values","page":"Nondimensionalization","title":"Specify characteristic values","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Characteristic values can be defined in 3 ways.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"GeoParams.Units\nAbstractGeoUnit\nGeoUnit\nGeoUnits\nGEO_units\nSI_units\nNO_units\n@unpack_val\n@unpack_units","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units","page":"Nondimensionalization","title":"GeoParams.Units","text":"This provides units and creates a non-dimensionalization object\n\n\n\n\n\n","category":"module"},{"location":"man/nondimensionalize/#GeoParams.Units.AbstractGeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.AbstractGeoUnit","text":"AbstractGeoUnit\n\nAbstract supertype for geo units.\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnit","text":"Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.\n\nHaving that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.\nWith the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnits","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnits","text":"GeoUnits\n\nStructure that holds parameters used for non-dimensionalization\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GEO_units","page":"Nondimensionalization","title":"GeoParams.Units.GEO_units","text":"GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)\n\nCreates a non-dimensionalization object using GEO units.\n\nGEO units implies that upon dimensionalization, time will be in Myrs, length in km, stress in MPa, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (km or m), provided the unit is specified.\n\nExamples:\n\njulia> CharUnits = GEO_units()\nEmploying GEO units \nCharacteristic values: \n         length:      1000 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\njulia> CharUnits.velocity\n1.0e-7 m s⁻¹\n\nIf we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic length:\n\njulia> CharUnits = GEO_units(length=10km)\nEmploying GEO units \nCharacteristic values: \n         length:      10 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.SI_units","page":"Nondimensionalization","title":"GeoParams.Units.SI_units","text":"CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)\n\nSpecify the characteristic values using SI units \n\nExamples:\n\njulia> CharUnits = SI_units(length=1000m)\nEmploying SI units \nCharacteristic values: \n         length:      1000 m\n         time:        1.0e19 s\n         stress:      10 Pa\n         temperature: 1000.0 K\n\nNote that the same can be achieved if the input is given in km:\n\njulia> CharUnits = SI_units(length=1km)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.NO_units","page":"Nondimensionalization","title":"GeoParams.Units.NO_units","text":"CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)\n\nSpecify the characteristic values in non-dimensional units\n\nExamples:\n\njulia> using GeoParams;\njulia> CharUnits = NO_units()\nEmploying NONE units \nCharacteristic values: \n         length:      1\n         time:        1.0 \n         stress:      1\n         temperature: 1.0\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_val","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_val","text":"This unpacks the numerical value of `GeoUnit` in a structure, without the units.\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_val ρ,α = r\njulia> α\n4.0e-5\njulia> typeof(α)\nFloat64\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_units","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_units","text":"This unpacks the numerical value with units of `GeoUnit` parameters in a structure\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_units ρ,α = r\njulia> α\n4.0e-5 K⁻¹·⁰\njulia> typeof(α)\nQuantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#(Non)-dimensionalize-parameters","page":"Nondimensionalization","title":"(Non)-dimensionalize parameters","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"nondimensionalize\ndimensionalize\nisDimensional","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units.nondimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.nondimensionalize","text":"nondimensionalize(param, CharUnits::GeoUnits{TYPE})\n\nNondimensionalizes param using the characteristic values specified in CharUnits\n\nExample 1\n\njulia> using GeoParams;\njulia> CharUnits =   GEO_units();\njulia> v         =   3cm/yr\n3 cm yr⁻¹ \njulia> v_ND      =   nondimensionalize(v, CharUnits) \n0.009506426344208684\n\nExample 2\n\nIn geodynamics one sometimes encounters more funky units\n\njulia> CharUnits =   GEO_units();\njulia> A         =   6.3e-2MPa^-3.05*s^-1\n0.063 MPa⁻³·⁰⁵ s⁻¹\njulia> A_ND      =   nondimensionalize(A, CharUnits) \n7.068716262102384e14\n\nIn case you are interested to see how the units of A look like in different units, use this function from the Unitful package:\n\njulia> uconvert(u\"Pa^-3.05*s^-1\",A) \n3.157479571851836e-20 Pa⁻³·⁰⁵\n\nand to see it decomposed in the basic SI units of length, mass and time:\n\njulia> upreferred(A)\n3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵\n\n\n\n\n\nMatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nNon-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\nnondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nnondimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.dimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.dimensionalize","text":"dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes param into the dimensions param_dim using the characteristic values specified in CharUnits.  \n\nExample\n\njulia> CharUnits =   GEO_units();\njulia> v_ND      =   nondimensionalize(3cm/yr, CharUnits) \n0.031688087814028945\njulia> v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) \n3.0 cm yr⁻¹\n\n\n\n\n\ndimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\nDimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nDimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.isDimensional","page":"Nondimensionalization","title":"GeoParams.Units.isDimensional","text":"isDimensional(MatParam::AbstractMaterialParam)\n\ntrue if MatParam is in dimensional units.    \n\n\n\n\n\n","category":"function"},{"location":"man/density/#Density","page":"Density","title":"Density","text":"","category":"section"},{"location":"man/density/#Methods","page":"Density","title":"Methods","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"The density equation of state can be specified in a number of ways","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.ConstantDensity\nGeoParams.MaterialParameters.Density.PT_Density\nGeoParams.MaterialParameters.Density.Compressible_Density","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.ConstantDensity","page":"Density","title":"GeoParams.MaterialParameters.Density.ConstantDensity","text":"ConstantDensity(ρ=2900kg/m^3)\n\nSet a constant density:\n\n    rho  = cst\n\nwhere rho is the density [kgm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.PT_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.PT_Density","text":"PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)\n\nSet a pressure and temperature-dependent density:\n\n    rho  = rho_0 (10 - alpha (T-T_0) + beta  (P-P_0) )  \n\nwhere rho_0 is the density [kgm^3] at reference temperature T_0 and pressure P_0, alpha is the temperature dependence of density and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.Compressible_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.Compressible_Density","text":"Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)\n\nSet a pressure-dependent density:\n\n    rho  = rho_0 exp(β*(P - P_0))  \n\nwhere rho_0 is the density [kgm^3] at reference pressure P_0 and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#Computational-routines","page":"Density","title":"Computational routines","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"To evaluate density within a user routine, use this:","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.compute_density\nGeoParams.MaterialParameters.Density.compute_density!","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density","text":"compute_density(P,T, s::PhaseDiagram_LookupTable)\n\nInterpolates density as a function of T,P from a lookup table  \n\n\n\n\n\n","category":"function"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density!","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density!","text":"compute_density!(rho::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, s::PhaseDiagram_LookupTable)\n\nIn-place computation of density as a function of T,P, in case we are using a lookup table.    \n\n\n\n\n\ncompute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I<:Integer}\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\nExample\n\njulia> MatParam = (SetMaterialParams(Name=\"Mantle\", Phase=1,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                        Density   = PT_Density()\n                        ),\n                    SetMaterialParams(Name=\"Crust\", Phase=2,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),\n                        Density   = ConstantDensity(ρ=2900kg/m^3))\n                  );\njulia> Phases = ones(Int64,400,400);\njulia> Phases[:,20:end] .= 2\njulia> rho     = zeros(size(Phases))\njulia> T       =  ones(size(Phases))\njulia> P       =  ones(size(Phases))*10\njulia> compute_density!(rho, MatParam, Phases, P, T)\njulia> rho\n400×400 Matrix{Float64}:\n2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮                            \n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n\nThe routine is made to minimize allocations:\n\njulia> using BenchmarkTools\njulia> @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)\n    203.468 μs (0 allocations: 0 bytes)\n\n_____________________________________________________________________________________________________________________________   \n\ncompute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/density/","page":"Density","title":"Density","text":"Note that density values are usually not used in itself in the governing PDE's, but usually in combination with other parameters, such as rho g or rho c_p. the non-dimensional value of rho may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.","category":"page"},{"location":"man/gravity/#Gravitational-acceleration","page":"Gravity","title":"Gravitational acceleration","text":"","category":"section"},{"location":"man/gravity/#Methods","page":"Gravity","title":"Methods","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"Gravitational acceleration is defined as ","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","text":"GravityConstant(g=9.81m/s^2)\n\nSet a constant value for the gravitational acceleration:\n\n    g  = 981 m s^-2\n\n\n\n\n\n","category":"type"},{"location":"man/gravity/#Computational-routines","page":"Gravity","title":"Computational routines","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"To compute, use this:","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","text":"compute_gravity(s:<AbstractGravity)\n\nReturns the gravitational acceleration \n\n\n\n\n\n","category":"function"},{"location":"#GeoParams.jl","page":"Home","title":"GeoParams.jl","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:","category":"page"},{"location":"","page":"Home","title":"Home","text":"Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).\nMaterial parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. ","category":"page"},{"location":"","page":"Home","title":"Home","text":"We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).","category":"page"},{"location":"man/conductivity/#Conductivity","page":"Conductivity","title":"Conductivity","text":"","category":"section"},{"location":"man/conductivity/#Methods","page":"Conductivity","title":"Methods","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"Thermal conductivity is defined as ","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity\nGeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington\nGeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised\nGeoParams.MaterialParameters.Conductivity.TP_Conductivity\nGeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity","text":"ConstantConductivity(k=3.0W/m/K)\n\nSet a constant conductivity\n\n    k  = cst\n\nwhere k is the thermal conductivity [WmK].\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington","text":"T_Conductivity_Whittington()\n\nSets a temperature-dependent conductivity following the parameterization of Whittington, A.G., Hofmeister, A.M., Nabelek, P.I., 2009. Temperature-dependent thermal diffusivity of the Earth’s crust and implications for magmatism. Nature 458, 319–321. https://doi.org/10.1038/nature07818.  Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us to compute \n\n    Cp = a + b T - cT^2 \n\n    kappa = dT - e textrm if  T=846K\n\n    kappa = f - g*T textrm if  T846K\n\n    rho = 2700 kgm^3\n\n    k = kappa rho Cp\n\nwhere Cp is the heat capacity [JmolK], and abc are parameters that dependent on the temperature T:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nd = 576.3m^2/s*K      \ne = 0.062m^2/s        \nf = 0.732m^2/s        \ng = 0.000135m^2/s/K \n\nThis looks like:\n\n(Image: subet1)\n\nExample\n\njulia> using GeoParams, Plots\njulia> p=T_Conductivity_Whittington();\njulia> T,k,plt = PlotConductivity(p)\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised","text":"T_Conductivity_Whittington_parameterised()\n\nSets a temperature-dependent conductivity that is  parameterization after Whittington, et al.  2009 \n\nThe original parameterization involves quite a few parameters; this is a polynomial fit that is roughly valid from 0-1000Celcius\n\n    k WmK = -2 10^-9 (T-Ts)^3 + 6 10^-6 (T-Ts)^2 - 00062 (T-Ts) + 4\n\n    Ts = 27315 K\n\nwhere T[K] is the temperature in Kelvin (or the nondimensional equivalent of it).\n\nThe comparison of this parameterisation vs. the original one is: (Image: subet1)\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.TP_Conductivity","text":"TP_Conductivity()\n\nSets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for  \n\n    k = left( a_k +  b_k over T + c_k right) (1 + d_k P) \n\nwhere k is the conductivity [WKm], and a_kb_kc_kd_k are parameters that dependent on the temperature T and pressure P:\n\na_k = 1.18Watt/K/m    \nb_k = 474Watt/m \nc_k = 77K       \nd_k = 0/MPa       \n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","text":"Set_TP_Conductivity[\"Name of temperature(-pressure) dependent conductivity\"]\n\nThis is a dictionary with pre-defined laws:\n\n\"UpperCrust\"    \n\"LowerCrust\"\n\"OceanicCrust\"\n\"Mantle\"\n\nExample\n\njulia> k=Set_TP_Conductivity[\"Mantle\"]\nT/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)  \n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#Computational-routines","page":"Conductivity","title":"Computational routines","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"To compute, use this:","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.compute_conductivity\nGeoParams.MaterialParameters.Conductivity.compute_conductivity!","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity","text":"k = compute_conductivity(P, T, s:<AbstractConductivity)\n\nReturns the thermal conductivity k at any temperature T and pressure P using any of the parameterizations implemented.\n\nCurrently available:\n\nConstantConductivity\nT_Conductivity_Whittington\nTP_Conductivity\n\nExample\n\nUsing dimensional units\n\njulia> T  = (250:100:1250)*K;\njulia> cp = T_HeatCapacity_Whittington()\njulia> Cp = ComputeHeatCapacity(0,T,cp)\n\n\n\n\n\ncompute_conductivity!(K::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},Temp::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of conductivity K for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and Temp arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n_________________________________________________________________________________________________________\n\ncompute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity!","text":"compute_conductivity!(k_array::AbstractArray{<:AbstractFloat,N},P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, s::T_Conductivity_Whittington) where N\n\nIn-place routine to compute temperature-dependent conductivity    \n\n\n\n\n\ncompute_conductivity!(k::AbstractArray{_T,N}, s::T_Conductivity_Whittington_parameterised{_T}, P::AbstractArray{_T,N}, T::AbstractArray{_T,N})\n\nIn-place routine to compute temperature-dependent conductivity    \n\n\n\n\n\n","category":"function"}]
+}
diff --git a/v0.3.9/siteinfo.js b/v0.3.9/siteinfo.js
new file mode 100644
index 000000000..4a4330aaf
--- /dev/null
+++ b/v0.3.9/siteinfo.js
@@ -0,0 +1 @@
+var DOCUMENTER_CURRENT_VERSION = "v0.3.9";
diff --git a/v0.4 b/v0.4
new file mode 120000
index 000000000..be5bf2ad1
--- /dev/null
+++ b/v0.4
@@ -0,0 +1 @@
+v0.4.1
\ No newline at end of file
diff --git a/v0.4.0/assets/XMasTree.png b/v0.4.0/assets/XMasTree.png
new file mode 100644
index 000000000..c7ec86a3a
Binary files /dev/null and b/v0.4.0/assets/XMasTree.png differ
diff --git a/v0.4.0/assets/documenter.js b/v0.4.0/assets/documenter.js
new file mode 100644
index 000000000..6adfbbbf4
--- /dev/null
+++ b/v0.4.0/assets/documenter.js
@@ -0,0 +1,331 @@
+// Generated by Documenter.jl
+requirejs.config({
+  paths: {
+    'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia.min',
+    'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min',
+    'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.12.1/jquery-ui.min',
+    'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/contrib/auto-render.min',
+    'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min',
+    'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min',
+    'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min',
+    'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/highlight.min',
+    'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia-repl.min',
+  },
+  shim: {
+  "highlight-julia": {
+    "deps": [
+      "highlight"
+    ]
+  },
+  "katex-auto-render": {
+    "deps": [
+      "katex"
+    ]
+  },
+  "headroom-jquery": {
+    "deps": [
+      "jquery",
+      "headroom"
+    ]
+  },
+  "highlight-julia-repl": {
+    "deps": [
+      "highlight"
+    ]
+  }
+}
+});
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) {
+$(document).ready(function() {
+  renderMathInElement(
+    document.body,
+    {
+  "delimiters": [
+    {
+      "left": "$",
+      "right": "$",
+      "display": false
+    },
+    {
+      "left": "$$",
+      "right": "$$",
+      "display": true
+    },
+    {
+      "left": "\\[",
+      "right": "\\]",
+      "display": true
+    }
+  ]
+}
+
+  );
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) {
+$(document).ready(function() {
+    hljs.highlightAll();
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require([], function() {
+function addCopyButtonCallbacks() {
+  for (const el of document.getElementsByTagName("pre")) {
+    const button = document.createElement("button");
+    button.classList.add("copy-button", "fas", "fa-copy");
+    el.appendChild(button);
+
+    const success = function () {
+      button.classList.add("success", "fa-check");
+      button.classList.remove("fa-copy");
+    };
+
+    const failure = function () {
+      button.classList.add("error", "fa-times");
+      button.classList.remove("fa-copy");
+    };
+
+    button.addEventListener("click", function () {
+      copyToClipboard(el.innerText).then(success, failure);
+
+      setTimeout(function () {
+        button.classList.add("fa-copy");
+        button.classList.remove("success", "fa-check", "fa-times");
+      }, 5000);
+    });
+  }
+}
+
+function copyToClipboard(text) {
+  // clipboard API is only available in secure contexts
+  if (window.navigator && window.navigator.clipboard) {
+    return window.navigator.clipboard.writeText(text);
+  } else {
+    return new Promise(function (resolve, reject) {
+      try {
+        const el = document.createElement("textarea");
+        el.textContent = text;
+        el.style.position = "fixed";
+        el.style.opacity = 0;
+        document.body.appendChild(el);
+        el.select();
+        document.execCommand("copy");
+
+        resolve();
+      } catch (err) {
+        reject(err);
+      } finally {
+        document.body.removeChild(el);
+      }
+    });
+  }
+}
+
+if (document.readyState === "loading") {
+  document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks);
+} else {
+  addCopyButtonCallbacks();
+}
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) {
+
+// Manages the top navigation bar (hides it when the user starts scrolling down on the
+// mobile).
+window.Headroom = Headroom; // work around buggy module loading?
+$(document).ready(function() {
+  $('#documenter .docs-navbar').headroom({
+    "tolerance": {"up": 10, "down": 10},
+  });
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// Modal settings dialog
+$(document).ready(function() {
+  var settings = $('#documenter-settings');
+  $('#documenter-settings-button').click(function(){
+    settings.toggleClass('is-active');
+  });
+  // Close the dialog if X is clicked
+  $('#documenter-settings button.delete').click(function(){
+    settings.removeClass('is-active');
+  });
+  // Close dialog if ESC is pressed
+  $(document).keyup(function(e) {
+    if (e.keyCode == 27) settings.removeClass('is-active');
+  });
+});
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// Manages the showing and hiding of the sidebar.
+$(document).ready(function() {
+  var sidebar = $("#documenter > .docs-sidebar");
+  var sidebar_button = $("#documenter-sidebar-button")
+  sidebar_button.click(function(ev) {
+    ev.preventDefault();
+    sidebar.toggleClass('visible');
+    if (sidebar.hasClass('visible')) {
+      // Makes sure that the current menu item is visible in the sidebar.
+      $("#documenter .docs-menu a.is-active").focus();
+    }
+  });
+  $("#documenter > .docs-main").bind('click', function(ev) {
+    if ($(ev.target).is(sidebar_button)) {
+      return;
+    }
+    if (sidebar.hasClass('visible')) {
+      sidebar.removeClass('visible');
+    }
+  });
+})
+
+// Resizes the package name / sitename in the sidebar if it is too wide.
+// Inspired by: https://github.com/davatron5000/FitText.js
+$(document).ready(function() {
+  e = $("#documenter .docs-autofit");
+  function resize() {
+    var L = parseInt(e.css('max-width'), 10);
+    var L0 = e.width();
+    if(L0 > L) {
+      var h0 = parseInt(e.css('font-size'), 10);
+      e.css('font-size', L * h0 / L0);
+      // TODO: make sure it survives resizes?
+    }
+  }
+  // call once and then register events
+  resize();
+  $(window).resize(resize);
+  $(window).on('orientationchange', resize);
+});
+
+// Scroll the navigation bar to the currently selected menu item
+$(document).ready(function() {
+  var sidebar = $("#documenter .docs-menu").get(0);
+  var active = $("#documenter .docs-menu .is-active").get(0);
+  if(typeof active !== 'undefined') {
+    sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15;
+  }
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+function set_theme(theme) {
+  var active = null;
+  var disabled = [];
+  for (var i = 0; i < document.styleSheets.length; i++) {
+    var ss = document.styleSheets[i];
+    var themename = ss.ownerNode.getAttribute("data-theme-name");
+    if(themename === null) continue; // ignore non-theme stylesheets
+    // Find the active theme
+    if(themename === theme) active = ss;
+    else disabled.push(ss);
+  }
+  if(active !== null) {
+    active.disabled = false;
+    if(active.ownerNode.getAttribute("data-theme-primary") === null) {
+      document.getElementsByTagName('html')[0].className = "theme--" + theme;
+    } else {
+      document.getElementsByTagName('html')[0].className = "";
+    }
+    disabled.forEach(function(ss){
+      ss.disabled = true;
+    });
+  }
+
+  // Store the theme in localStorage
+  if(typeof(window.localStorage) !== "undefined") {
+    window.localStorage.setItem("documenter-theme", theme);
+  } else {
+    console.error("Browser does not support window.localStorage");
+  }
+}
+
+// Theme picker setup
+$(document).ready(function() {
+  // onchange callback
+  $('#documenter-themepicker').change(function themepick_callback(ev){
+    var themename = $('#documenter-themepicker option:selected').attr('value');
+    set_theme(themename);
+  });
+
+  // Make sure that the themepicker displays the correct theme when the theme is retrieved
+  // from localStorage
+  if(typeof(window.localStorage) !== "undefined") {
+    var theme =  window.localStorage.getItem("documenter-theme");
+    if(theme !== null) {
+      $('#documenter-themepicker option').each(function(i,e) {
+        e.selected = (e.value === theme);
+      })
+    } else {
+      $('#documenter-themepicker option').each(function(i,e) {
+        e.selected = $("html").hasClass(`theme--${e.value}`);
+      })
+    }
+  }
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// update the version selector with info from the siteinfo.js and ../versions.js files
+$(document).ready(function() {
+  // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the
+  // siteinfo.js file, we just return immediately and not display the version selector.
+  if (typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === 'boolean' && DOCUMENTER_VERSION_SELECTOR_DISABLED) {
+    return;
+  }
+
+  var version_selector = $("#documenter .docs-version-selector");
+  var version_selector_select = $("#documenter .docs-version-selector select");
+
+  version_selector_select.change(function(x) {
+    target_href = version_selector_select.children("option:selected").get(0).value;
+    window.location.href = target_href;
+  });
+
+  // add the current version to the selector based on siteinfo.js, but only if the selector is empty
+  if (typeof DOCUMENTER_CURRENT_VERSION !== 'undefined' && $('#version-selector > option').length == 0) {
+    var option = $("<option value='#' selected='selected'>" + DOCUMENTER_CURRENT_VERSION + "</option>");
+    version_selector_select.append(option);
+  }
+
+  if (typeof DOC_VERSIONS !== 'undefined') {
+    var existing_versions = version_selector_select.children("option");
+    var existing_versions_texts = existing_versions.map(function(i,x){return x.text});
+    DOC_VERSIONS.forEach(function(each) {
+      var version_url = documenterBaseURL + "/../" + each;
+      var existing_id = $.inArray(each, existing_versions_texts);
+      // if not already in the version selector, add it as a new option,
+      // otherwise update the old option with the URL and enable it
+      if (existing_id == -1) {
+        var option = $("<option value='" + version_url + "'>" + each + "</option>");
+        version_selector_select.append(option);
+      } else {
+        var option = existing_versions[existing_id];
+        option.value = version_url;
+        option.disabled = false;
+      }
+    });
+  }
+
+  // only show the version selector if the selector has been populated
+  if (version_selector_select.children("option").length > 0) {
+    version_selector.toggleClass("visible");
+  }
+})
+
+})
diff --git a/v0.4.0/assets/logo.png b/v0.4.0/assets/logo.png
new file mode 100644
index 000000000..dae9e66cd
Binary files /dev/null and b/v0.4.0/assets/logo.png differ
diff --git a/v0.4.0/assets/logo_avatar.png b/v0.4.0/assets/logo_avatar.png
new file mode 100644
index 000000000..52bca2064
Binary files /dev/null and b/v0.4.0/assets/logo_avatar.png differ
diff --git a/v0.4.0/assets/search.js b/v0.4.0/assets/search.js
new file mode 100644
index 000000000..c133f7410
--- /dev/null
+++ b/v0.4.0/assets/search.js
@@ -0,0 +1,267 @@
+// Generated by Documenter.jl
+requirejs.config({
+  paths: {
+    'lunr': 'https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min',
+    'lodash': 'https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.21/lodash.min',
+    'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min',
+  }
+});
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'lunr', 'lodash'], function($, lunr, _) {
+
+$(document).ready(function() {
+  // parseUri 1.2.2
+  // (c) Steven Levithan <stevenlevithan.com>
+  // MIT License
+  function parseUri (str) {
+    var  o   = parseUri.options,
+      m   = o.parser[o.strictMode ? "strict" : "loose"].exec(str),
+      uri = {},
+      i   = 14;
+
+    while (i--) uri[o.key[i]] = m[i] || "";
+
+    uri[o.q.name] = {};
+    uri[o.key[12]].replace(o.q.parser, function ($0, $1, $2) {
+      if ($1) uri[o.q.name][$1] = $2;
+    });
+
+    return uri;
+  };
+  parseUri.options = {
+    strictMode: false,
+    key: ["source","protocol","authority","userInfo","user","password","host","port","relative","path","directory","file","query","anchor"],
+    q:   {
+      name:   "queryKey",
+      parser: /(?:^|&)([^&=]*)=?([^&]*)/g
+    },
+    parser: {
+      strict: /^(?:([^:\/?#]+):)?(?:\/\/((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?))?((((?:[^?#\/]*\/)*)([^?#]*))(?:\?([^#]*))?(?:#(.*))?)/,
+      loose:  /^(?:(?![^:@]+:[^:@\/]*@)([^:\/?#.]+):)?(?:\/\/)?((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?)(((\/(?:[^?#](?![^?#\/]*\.[^?#\/.]+(?:[?#]|$)))*\/?)?([^?#\/]*))(?:\?([^#]*))?(?:#(.*))?)/
+    }
+  };
+
+  $("#search-form").submit(function(e) {
+    e.preventDefault()
+  })
+
+  // list below is the lunr 2.1.3 list minus the intersect with names(Base)
+  // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with)
+  // ideally we'd just filter the original list but it's not available as a variable
+  lunr.stopWordFilter = lunr.generateStopWordFilter([
+    'a',
+    'able',
+    'about',
+    'across',
+    'after',
+    'almost',
+    'also',
+    'am',
+    'among',
+    'an',
+    'and',
+    'are',
+    'as',
+    'at',
+    'be',
+    'because',
+    'been',
+    'but',
+    'by',
+    'can',
+    'cannot',
+    'could',
+    'dear',
+    'did',
+    'does',
+    'either',
+    'ever',
+    'every',
+    'from',
+    'got',
+    'had',
+    'has',
+    'have',
+    'he',
+    'her',
+    'hers',
+    'him',
+    'his',
+    'how',
+    'however',
+    'i',
+    'if',
+    'into',
+    'it',
+    'its',
+    'just',
+    'least',
+    'like',
+    'likely',
+    'may',
+    'me',
+    'might',
+    'most',
+    'must',
+    'my',
+    'neither',
+    'no',
+    'nor',
+    'not',
+    'of',
+    'off',
+    'often',
+    'on',
+    'or',
+    'other',
+    'our',
+    'own',
+    'rather',
+    'said',
+    'say',
+    'says',
+    'she',
+    'should',
+    'since',
+    'so',
+    'some',
+    'than',
+    'that',
+    'the',
+    'their',
+    'them',
+    'then',
+    'there',
+    'these',
+    'they',
+    'this',
+    'tis',
+    'to',
+    'too',
+    'twas',
+    'us',
+    'wants',
+    'was',
+    'we',
+    'were',
+    'what',
+    'when',
+    'who',
+    'whom',
+    'why',
+    'will',
+    'would',
+    'yet',
+    'you',
+    'your'
+  ])
+
+  // add . as a separator, because otherwise "title": "Documenter.Anchors.add!"
+  // would not find anything if searching for "add!", only for the entire qualification
+  lunr.tokenizer.separator = /[\s\-\.]+/
+
+  // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names
+  lunr.trimmer = function (token) {
+    return token.update(function (s) {
+      return s.replace(/^[^a-zA-Z0-9@!]+/, '').replace(/[^a-zA-Z0-9@!]+$/, '')
+    })
+  }
+
+  lunr.Pipeline.registerFunction(lunr.stopWordFilter, 'juliaStopWordFilter')
+  lunr.Pipeline.registerFunction(lunr.trimmer, 'juliaTrimmer')
+
+  var index = lunr(function () {
+    this.ref('location')
+    this.field('title',{boost: 100})
+    this.field('text')
+    documenterSearchIndex['docs'].forEach(function(e) {
+        this.add(e)
+    }, this)
+  })
+  var store = {}
+
+  documenterSearchIndex['docs'].forEach(function(e) {
+      store[e.location] = {title: e.title, category: e.category, page: e.page}
+  })
+
+  $(function(){
+    searchresults = $('#documenter-search-results');
+    searchinfo = $('#documenter-search-info');
+    searchbox = $('#documenter-search-query');
+    searchform = $('.docs-search');
+    sidebar = $('.docs-sidebar');
+    function update_search(querystring) {
+      tokens = lunr.tokenizer(querystring)
+      results = index.query(function (q) {
+        tokens.forEach(function (t) {
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 100,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 10,
+            usePipeline: true,
+            editDistance: 2,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["text"],
+            boost: 1,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+        })
+      })
+      searchinfo.text("Number of results: " + results.length)
+      searchresults.empty()
+      results.forEach(function(result) {
+        data = store[result.ref]
+        link = $('<a class="docs-label">'+data.title+'</a>')
+        link.attr('href', documenterBaseURL+'/'+result.ref)
+        if (data.category != "page"){
+          cat = $('<span class="docs-category">('+data.category+', '+data.page+')</span>')
+        } else {
+          cat = $('<span class="docs-category">('+data.category+')</span>')
+        }
+        li = $('<li>').append(link).append(" ").append(cat)
+        searchresults.append(li)
+      })
+    }
+
+    function update_search_box() {
+      querystring = searchbox.val()
+      update_search(querystring)
+    }
+
+    searchbox.keyup(_.debounce(update_search_box, 250))
+    searchbox.change(update_search_box)
+
+    // Disable enter-key form submission for the searchbox on the search page
+    // and just re-run search rather than refresh the whole page.
+    searchform.keypress(
+      function(event){
+        if (event.which == '13') {
+          if (sidebar.hasClass('visible')) {
+            sidebar.removeClass('visible');
+          }
+          update_search_box();
+          event.preventDefault();
+        }
+      }
+    );
+
+    search_query_uri = parseUri(window.location).queryKey["q"]
+    if(search_query_uri !== undefined) {
+      search_query = decodeURIComponent(search_query_uri.replace(/\+/g, '%20'))
+      searchbox.val(search_query)
+    }
+    update_search_box();
+  })
+})
+
+})
diff --git a/v0.4.0/assets/themes/documenter-dark.css b/v0.4.0/assets/themes/documenter-dark.css
new file mode 100644
index 000000000..0bf1af7d5
--- /dev/null
+++ b/v0.4.0/assets/themes/documenter-dark.css
@@ -0,0 +1,7702 @@
+@charset "UTF-8";
+/* Font Awesome 5 mixin. Can be included in any rule that should render Font Awesome icons. */
+@keyframes spinAround {
+  from {
+    transform: rotate(0deg); }
+  to {
+    transform: rotate(359deg); } }
+
+html.theme--documenter-dark .tabs, html.theme--documenter-dark .pagination-previous,
+html.theme--documenter-dark .pagination-next,
+html.theme--documenter-dark .pagination-link,
+html.theme--documenter-dark .pagination-ellipsis, html.theme--documenter-dark .breadcrumb, html.theme--documenter-dark .file, html.theme--documenter-dark .button, .is-unselectable, html.theme--documenter-dark .modal-close, html.theme--documenter-dark .delete {
+  -webkit-touch-callout: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  user-select: none; }
+
+html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after, html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after {
+  border: 3px solid transparent;
+  border-radius: 2px;
+  border-right: 0;
+  border-top: 0;
+  content: " ";
+  display: block;
+  height: 0.625em;
+  margin-top: -0.4375em;
+  pointer-events: none;
+  position: absolute;
+  top: 50%;
+  transform: rotate(-45deg);
+  transform-origin: center;
+  width: 0.625em; }
+
+html.theme--documenter-dark .admonition:not(:last-child), html.theme--documenter-dark .tabs:not(:last-child), html.theme--documenter-dark .message:not(:last-child), html.theme--documenter-dark .list:not(:last-child), html.theme--documenter-dark .level:not(:last-child), html.theme--documenter-dark .breadcrumb:not(:last-child), html.theme--documenter-dark .highlight:not(:last-child), html.theme--documenter-dark .block:not(:last-child), html.theme--documenter-dark .title:not(:last-child),
+html.theme--documenter-dark .subtitle:not(:last-child), html.theme--documenter-dark .table-container:not(:last-child), html.theme--documenter-dark .table:not(:last-child), html.theme--documenter-dark .progress:not(:last-child), html.theme--documenter-dark .notification:not(:last-child), html.theme--documenter-dark .content:not(:last-child), html.theme--documenter-dark .box:not(:last-child) {
+  margin-bottom: 1.5rem; }
+
+html.theme--documenter-dark .modal-close, html.theme--documenter-dark .delete {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  background-color: rgba(10, 10, 10, 0.2);
+  border: none;
+  border-radius: 290486px;
+  cursor: pointer;
+  pointer-events: auto;
+  display: inline-block;
+  flex-grow: 0;
+  flex-shrink: 0;
+  font-size: 0;
+  height: 20px;
+  max-height: 20px;
+  max-width: 20px;
+  min-height: 20px;
+  min-width: 20px;
+  outline: none;
+  position: relative;
+  vertical-align: top;
+  width: 20px; }
+  html.theme--documenter-dark .modal-close::before, html.theme--documenter-dark .delete::before, html.theme--documenter-dark .modal-close::after, html.theme--documenter-dark .delete::after {
+    background-color: white;
+    content: "";
+    display: block;
+    left: 50%;
+    position: absolute;
+    top: 50%;
+    transform: translateX(-50%) translateY(-50%) rotate(45deg);
+    transform-origin: center center; }
+  html.theme--documenter-dark .modal-close::before, html.theme--documenter-dark .delete::before {
+    height: 2px;
+    width: 50%; }
+  html.theme--documenter-dark .modal-close::after, html.theme--documenter-dark .delete::after {
+    height: 50%;
+    width: 2px; }
+  html.theme--documenter-dark .modal-close:hover, html.theme--documenter-dark .delete:hover, html.theme--documenter-dark .modal-close:focus, html.theme--documenter-dark .delete:focus {
+    background-color: rgba(10, 10, 10, 0.3); }
+  html.theme--documenter-dark .modal-close:active, html.theme--documenter-dark .delete:active {
+    background-color: rgba(10, 10, 10, 0.4); }
+  html.theme--documenter-dark .is-small.modal-close, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.modal-close, html.theme--documenter-dark .is-small.delete, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.delete {
+    height: 16px;
+    max-height: 16px;
+    max-width: 16px;
+    min-height: 16px;
+    min-width: 16px;
+    width: 16px; }
+  html.theme--documenter-dark .is-medium.modal-close, html.theme--documenter-dark .is-medium.delete {
+    height: 24px;
+    max-height: 24px;
+    max-width: 24px;
+    min-height: 24px;
+    min-width: 24px;
+    width: 24px; }
+  html.theme--documenter-dark .is-large.modal-close, html.theme--documenter-dark .is-large.delete {
+    height: 32px;
+    max-height: 32px;
+    max-width: 32px;
+    min-height: 32px;
+    min-width: 32px;
+    width: 32px; }
+
+html.theme--documenter-dark .control.is-loading::after, html.theme--documenter-dark .select.is-loading::after, html.theme--documenter-dark .loader, html.theme--documenter-dark .button.is-loading::after {
+  animation: spinAround 500ms infinite linear;
+  border: 2px solid #dbdee0;
+  border-radius: 290486px;
+  border-right-color: transparent;
+  border-top-color: transparent;
+  content: "";
+  display: block;
+  height: 1em;
+  position: relative;
+  width: 1em; }
+
+html.theme--documenter-dark .hero-video, html.theme--documenter-dark .modal-background, html.theme--documenter-dark .modal, html.theme--documenter-dark .image.is-square img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square img,
+html.theme--documenter-dark .image.is-square .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, html.theme--documenter-dark .image.is-1by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+html.theme--documenter-dark .image.is-1by1 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, html.theme--documenter-dark .image.is-5by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+html.theme--documenter-dark .image.is-5by4 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, html.theme--documenter-dark .image.is-4by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+html.theme--documenter-dark .image.is-4by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, html.theme--documenter-dark .image.is-3by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+html.theme--documenter-dark .image.is-3by2 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, html.theme--documenter-dark .image.is-5by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+html.theme--documenter-dark .image.is-5by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, html.theme--documenter-dark .image.is-16by9 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+html.theme--documenter-dark .image.is-16by9 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, html.theme--documenter-dark .image.is-2by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+html.theme--documenter-dark .image.is-2by1 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, html.theme--documenter-dark .image.is-3by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+html.theme--documenter-dark .image.is-3by1 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, html.theme--documenter-dark .image.is-4by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+html.theme--documenter-dark .image.is-4by5 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, html.theme--documenter-dark .image.is-3by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+html.theme--documenter-dark .image.is-3by4 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, html.theme--documenter-dark .image.is-2by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+html.theme--documenter-dark .image.is-2by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, html.theme--documenter-dark .image.is-3by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+html.theme--documenter-dark .image.is-3by5 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, html.theme--documenter-dark .image.is-9by16 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+html.theme--documenter-dark .image.is-9by16 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, html.theme--documenter-dark .image.is-1by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+html.theme--documenter-dark .image.is-1by2 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, html.theme--documenter-dark .image.is-1by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+html.theme--documenter-dark .image.is-1by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio, .is-overlay {
+  bottom: 0;
+  left: 0;
+  position: absolute;
+  right: 0;
+  top: 0; }
+
+html.theme--documenter-dark .pagination-previous,
+html.theme--documenter-dark .pagination-next,
+html.theme--documenter-dark .pagination-link,
+html.theme--documenter-dark .pagination-ellipsis, html.theme--documenter-dark .file-cta,
+html.theme--documenter-dark .file-name, html.theme--documenter-dark .select select, html.theme--documenter-dark .textarea, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark .button {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  align-items: center;
+  border: 1px solid transparent;
+  border-radius: 0.4em;
+  box-shadow: none;
+  display: inline-flex;
+  font-size: 15px;
+  height: 2.25em;
+  justify-content: flex-start;
+  line-height: 1.5;
+  padding-bottom: calc(0.375em - 1px);
+  padding-left: calc(0.625em - 1px);
+  padding-right: calc(0.625em - 1px);
+  padding-top: calc(0.375em - 1px);
+  position: relative;
+  vertical-align: top; }
+  html.theme--documenter-dark .pagination-previous:focus,
+  html.theme--documenter-dark .pagination-next:focus,
+  html.theme--documenter-dark .pagination-link:focus,
+  html.theme--documenter-dark .pagination-ellipsis:focus, html.theme--documenter-dark .file-cta:focus,
+  html.theme--documenter-dark .file-name:focus, html.theme--documenter-dark .select select:focus, html.theme--documenter-dark .textarea:focus, html.theme--documenter-dark .input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:focus, html.theme--documenter-dark .button:focus, html.theme--documenter-dark .is-focused.pagination-previous,
+  html.theme--documenter-dark .is-focused.pagination-next,
+  html.theme--documenter-dark .is-focused.pagination-link,
+  html.theme--documenter-dark .is-focused.pagination-ellipsis, html.theme--documenter-dark .is-focused.file-cta,
+  html.theme--documenter-dark .is-focused.file-name, html.theme--documenter-dark .select select.is-focused, html.theme--documenter-dark .is-focused.textarea, html.theme--documenter-dark .is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-focused.button, html.theme--documenter-dark .pagination-previous:active,
+  html.theme--documenter-dark .pagination-next:active,
+  html.theme--documenter-dark .pagination-link:active,
+  html.theme--documenter-dark .pagination-ellipsis:active, html.theme--documenter-dark .file-cta:active,
+  html.theme--documenter-dark .file-name:active, html.theme--documenter-dark .select select:active, html.theme--documenter-dark .textarea:active, html.theme--documenter-dark .input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:active, html.theme--documenter-dark .button:active, html.theme--documenter-dark .is-active.pagination-previous,
+  html.theme--documenter-dark .is-active.pagination-next,
+  html.theme--documenter-dark .is-active.pagination-link,
+  html.theme--documenter-dark .is-active.pagination-ellipsis, html.theme--documenter-dark .is-active.file-cta,
+  html.theme--documenter-dark .is-active.file-name, html.theme--documenter-dark .select select.is-active, html.theme--documenter-dark .is-active.textarea, html.theme--documenter-dark .is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .is-active.button {
+    outline: none; }
+  html.theme--documenter-dark .pagination-previous[disabled],
+  html.theme--documenter-dark .pagination-next[disabled],
+  html.theme--documenter-dark .pagination-link[disabled],
+  html.theme--documenter-dark .pagination-ellipsis[disabled], html.theme--documenter-dark .file-cta[disabled],
+  html.theme--documenter-dark .file-name[disabled], html.theme--documenter-dark .select select[disabled], html.theme--documenter-dark .textarea[disabled], html.theme--documenter-dark .input[disabled], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled], html.theme--documenter-dark .button[disabled], fieldset[disabled] html.theme--documenter-dark .pagination-previous, html.theme--documenter-dark fieldset[disabled] .pagination-previous,
+  fieldset[disabled] html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark fieldset[disabled] .pagination-next,
+  fieldset[disabled] html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark fieldset[disabled] .pagination-link,
+  fieldset[disabled] html.theme--documenter-dark .pagination-ellipsis,
+  html.theme--documenter-dark fieldset[disabled] .pagination-ellipsis, fieldset[disabled] html.theme--documenter-dark .file-cta, html.theme--documenter-dark fieldset[disabled] .file-cta,
+  fieldset[disabled] html.theme--documenter-dark .file-name,
+  html.theme--documenter-dark fieldset[disabled] .file-name, fieldset[disabled] html.theme--documenter-dark .select select, fieldset[disabled] html.theme--documenter-dark .textarea, fieldset[disabled] html.theme--documenter-dark .input, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark fieldset[disabled] .select select, html.theme--documenter-dark .select fieldset[disabled] select, html.theme--documenter-dark fieldset[disabled] .textarea, html.theme--documenter-dark fieldset[disabled] .input, html.theme--documenter-dark fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar fieldset[disabled] form.docs-search > input, fieldset[disabled] html.theme--documenter-dark .button, html.theme--documenter-dark fieldset[disabled] .button {
+    cursor: not-allowed; }
+
+/*! minireset.css v0.0.4 | MIT License | github.com/jgthms/minireset.css */
+html,
+body,
+p,
+ol,
+ul,
+li,
+dl,
+dt,
+dd,
+blockquote,
+figure,
+fieldset,
+legend,
+textarea,
+pre,
+iframe,
+hr,
+h1,
+h2,
+h3,
+h4,
+h5,
+h6 {
+  margin: 0;
+  padding: 0; }
+
+h1,
+h2,
+h3,
+h4,
+h5,
+h6 {
+  font-size: 100%;
+  font-weight: normal; }
+
+ul {
+  list-style: none; }
+
+button,
+input,
+select,
+textarea {
+  margin: 0; }
+
+html {
+  box-sizing: border-box; }
+
+*, *::before, *::after {
+  box-sizing: inherit; }
+
+img,
+embed,
+iframe,
+object,
+video {
+  height: auto;
+  max-width: 100%; }
+
+audio {
+  max-width: 100%; }
+
+iframe {
+  border: 0; }
+
+table {
+  border-collapse: collapse;
+  border-spacing: 0; }
+
+td,
+th {
+  padding: 0; }
+  td:not([align]),
+  th:not([align]) {
+    text-align: left; }
+
+.is-clearfix::after {
+  clear: both;
+  content: " ";
+  display: table; }
+
+.is-pulled-left {
+  float: left !important; }
+
+.is-pulled-right {
+  float: right !important; }
+
+.is-clipped {
+  overflow: hidden !important; }
+
+.is-size-1 {
+  font-size: 3rem !important; }
+
+.is-size-2 {
+  font-size: 2.5rem !important; }
+
+.is-size-3 {
+  font-size: 2rem !important; }
+
+.is-size-4 {
+  font-size: 1.5rem !important; }
+
+.is-size-5 {
+  font-size: 1.25rem !important; }
+
+.is-size-6 {
+  font-size: 15px !important; }
+
+.is-size-7, html.theme--documenter-dark .docstring > section > a.docs-sourcelink {
+  font-size: 0.85em !important; }
+
+@media screen and (max-width: 768px) {
+  .is-size-1-mobile {
+    font-size: 3rem !important; }
+  .is-size-2-mobile {
+    font-size: 2.5rem !important; }
+  .is-size-3-mobile {
+    font-size: 2rem !important; }
+  .is-size-4-mobile {
+    font-size: 1.5rem !important; }
+  .is-size-5-mobile {
+    font-size: 1.25rem !important; }
+  .is-size-6-mobile {
+    font-size: 15px !important; }
+  .is-size-7-mobile {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-size-1-tablet {
+    font-size: 3rem !important; }
+  .is-size-2-tablet {
+    font-size: 2.5rem !important; }
+  .is-size-3-tablet {
+    font-size: 2rem !important; }
+  .is-size-4-tablet {
+    font-size: 1.5rem !important; }
+  .is-size-5-tablet {
+    font-size: 1.25rem !important; }
+  .is-size-6-tablet {
+    font-size: 15px !important; }
+  .is-size-7-tablet {
+    font-size: 0.85em !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-size-1-touch {
+    font-size: 3rem !important; }
+  .is-size-2-touch {
+    font-size: 2.5rem !important; }
+  .is-size-3-touch {
+    font-size: 2rem !important; }
+  .is-size-4-touch {
+    font-size: 1.5rem !important; }
+  .is-size-5-touch {
+    font-size: 1.25rem !important; }
+  .is-size-6-touch {
+    font-size: 15px !important; }
+  .is-size-7-touch {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-size-1-desktop {
+    font-size: 3rem !important; }
+  .is-size-2-desktop {
+    font-size: 2.5rem !important; }
+  .is-size-3-desktop {
+    font-size: 2rem !important; }
+  .is-size-4-desktop {
+    font-size: 1.5rem !important; }
+  .is-size-5-desktop {
+    font-size: 1.25rem !important; }
+  .is-size-6-desktop {
+    font-size: 15px !important; }
+  .is-size-7-desktop {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-size-1-widescreen {
+    font-size: 3rem !important; }
+  .is-size-2-widescreen {
+    font-size: 2.5rem !important; }
+  .is-size-3-widescreen {
+    font-size: 2rem !important; }
+  .is-size-4-widescreen {
+    font-size: 1.5rem !important; }
+  .is-size-5-widescreen {
+    font-size: 1.25rem !important; }
+  .is-size-6-widescreen {
+    font-size: 15px !important; }
+  .is-size-7-widescreen {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-size-1-fullhd {
+    font-size: 3rem !important; }
+  .is-size-2-fullhd {
+    font-size: 2.5rem !important; }
+  .is-size-3-fullhd {
+    font-size: 2rem !important; }
+  .is-size-4-fullhd {
+    font-size: 1.5rem !important; }
+  .is-size-5-fullhd {
+    font-size: 1.25rem !important; }
+  .is-size-6-fullhd {
+    font-size: 15px !important; }
+  .is-size-7-fullhd {
+    font-size: 0.85em !important; } }
+
+.has-text-centered {
+  text-align: center !important; }
+
+.has-text-justified {
+  text-align: justify !important; }
+
+.has-text-left {
+  text-align: left !important; }
+
+.has-text-right {
+  text-align: right !important; }
+
+@media screen and (max-width: 768px) {
+  .has-text-centered-mobile {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-centered-tablet {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-centered-tablet-only {
+    text-align: center !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-centered-touch {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-centered-desktop {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-centered-desktop-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-centered-widescreen {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-centered-widescreen-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-centered-fullhd {
+    text-align: center !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-justified-mobile {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-justified-tablet {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-justified-tablet-only {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-justified-touch {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-justified-desktop {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-justified-desktop-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-justified-widescreen {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-justified-widescreen-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-justified-fullhd {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-left-mobile {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-left-tablet {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-left-tablet-only {
+    text-align: left !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-left-touch {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-left-desktop {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-left-desktop-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-left-widescreen {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-left-widescreen-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-left-fullhd {
+    text-align: left !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-right-mobile {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-right-tablet {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-right-tablet-only {
+    text-align: right !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-right-touch {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-right-desktop {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-right-desktop-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-right-widescreen {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-right-widescreen-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-right-fullhd {
+    text-align: right !important; } }
+
+.is-capitalized {
+  text-transform: capitalize !important; }
+
+.is-lowercase {
+  text-transform: lowercase !important; }
+
+.is-uppercase {
+  text-transform: uppercase !important; }
+
+.is-italic {
+  font-style: italic !important; }
+
+.has-text-white {
+  color: white !important; }
+
+a.has-text-white:hover, a.has-text-white:focus {
+  color: #e6e6e6 !important; }
+
+.has-background-white {
+  background-color: white !important; }
+
+.has-text-black {
+  color: #0a0a0a !important; }
+
+a.has-text-black:hover, a.has-text-black:focus {
+  color: black !important; }
+
+.has-background-black {
+  background-color: #0a0a0a !important; }
+
+.has-text-light {
+  color: #ecf0f1 !important; }
+
+a.has-text-light:hover, a.has-text-light:focus {
+  color: #cfd9db !important; }
+
+.has-background-light {
+  background-color: #ecf0f1 !important; }
+
+.has-text-dark {
+  color: #282f2f !important; }
+
+a.has-text-dark:hover, a.has-text-dark:focus {
+  color: #111414 !important; }
+
+.has-background-dark {
+  background-color: #282f2f !important; }
+
+.has-text-primary {
+  color: #375a7f !important; }
+
+a.has-text-primary:hover, a.has-text-primary:focus {
+  color: #28415b !important; }
+
+.has-background-primary {
+  background-color: #375a7f !important; }
+
+.has-text-link {
+  color: #1abc9c !important; }
+
+a.has-text-link:hover, a.has-text-link:focus {
+  color: #148f77 !important; }
+
+.has-background-link {
+  background-color: #1abc9c !important; }
+
+.has-text-info {
+  color: #024c7d !important; }
+
+a.has-text-info:hover, a.has-text-info:focus {
+  color: #012d4b !important; }
+
+.has-background-info {
+  background-color: #024c7d !important; }
+
+.has-text-success {
+  color: #008438 !important; }
+
+a.has-text-success:hover, a.has-text-success:focus {
+  color: #005122 !important; }
+
+.has-background-success {
+  background-color: #008438 !important; }
+
+.has-text-warning {
+  color: #ad8100 !important; }
+
+a.has-text-warning:hover, a.has-text-warning:focus {
+  color: #7a5b00 !important; }
+
+.has-background-warning {
+  background-color: #ad8100 !important; }
+
+.has-text-danger {
+  color: #9e1b0d !important; }
+
+a.has-text-danger:hover, a.has-text-danger:focus {
+  color: #6f1309 !important; }
+
+.has-background-danger {
+  background-color: #9e1b0d !important; }
+
+.has-text-black-bis {
+  color: #121212 !important; }
+
+.has-background-black-bis {
+  background-color: #121212 !important; }
+
+.has-text-black-ter {
+  color: #242424 !important; }
+
+.has-background-black-ter {
+  background-color: #242424 !important; }
+
+.has-text-grey-darker {
+  color: #282f2f !important; }
+
+.has-background-grey-darker {
+  background-color: #282f2f !important; }
+
+.has-text-grey-dark {
+  color: #343c3d !important; }
+
+.has-background-grey-dark {
+  background-color: #343c3d !important; }
+
+.has-text-grey {
+  color: #5e6d6f !important; }
+
+.has-background-grey {
+  background-color: #5e6d6f !important; }
+
+.has-text-grey-light {
+  color: #8c9b9d !important; }
+
+.has-background-grey-light {
+  background-color: #8c9b9d !important; }
+
+.has-text-grey-lighter {
+  color: #dbdee0 !important; }
+
+.has-background-grey-lighter {
+  background-color: #dbdee0 !important; }
+
+.has-text-white-ter {
+  color: #ecf0f1 !important; }
+
+.has-background-white-ter {
+  background-color: #ecf0f1 !important; }
+
+.has-text-white-bis {
+  color: #fafafa !important; }
+
+.has-background-white-bis {
+  background-color: #fafafa !important; }
+
+.has-text-weight-light {
+  font-weight: 300 !important; }
+
+.has-text-weight-normal {
+  font-weight: 400 !important; }
+
+.has-text-weight-medium {
+  font-weight: 500 !important; }
+
+.has-text-weight-semibold {
+  font-weight: 600 !important; }
+
+.has-text-weight-bold {
+  font-weight: 700 !important; }
+
+.is-family-primary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-secondary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-sans-serif {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-monospace {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-family-code {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-block {
+  display: block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-block-mobile {
+    display: block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-block-tablet {
+    display: block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-block-tablet-only {
+    display: block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-block-touch {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-block-desktop {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-block-desktop-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-block-widescreen {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-block-widescreen-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-block-fullhd {
+    display: block !important; } }
+
+.is-flex {
+  display: flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-flex-mobile {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-flex-tablet {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-flex-tablet-only {
+    display: flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-flex-touch {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-flex-desktop {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-flex-desktop-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-flex-widescreen {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-flex-widescreen-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-flex-fullhd {
+    display: flex !important; } }
+
+.is-inline {
+  display: inline !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-mobile {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-tablet {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-tablet-only {
+    display: inline !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-touch {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-desktop {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-desktop-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-widescreen {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-widescreen-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-fullhd {
+    display: inline !important; } }
+
+.is-inline-block {
+  display: inline-block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-block-mobile {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-block-tablet {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-block-tablet-only {
+    display: inline-block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-block-touch {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-block-desktop {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-block-desktop-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-block-widescreen {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-block-widescreen-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-block-fullhd {
+    display: inline-block !important; } }
+
+.is-inline-flex {
+  display: inline-flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-flex-mobile {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-flex-tablet {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-flex-tablet-only {
+    display: inline-flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-flex-touch {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-flex-desktop {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-flex-desktop-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-flex-widescreen {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-flex-widescreen-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-flex-fullhd {
+    display: inline-flex !important; } }
+
+.is-hidden {
+  display: none !important; }
+
+.is-sr-only {
+  border: none !important;
+  clip: rect(0, 0, 0, 0) !important;
+  height: 0.01em !important;
+  overflow: hidden !important;
+  padding: 0 !important;
+  position: absolute !important;
+  white-space: nowrap !important;
+  width: 0.01em !important; }
+
+@media screen and (max-width: 768px) {
+  .is-hidden-mobile {
+    display: none !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-hidden-tablet {
+    display: none !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-hidden-tablet-only {
+    display: none !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-hidden-touch {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-hidden-desktop {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-hidden-desktop-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-hidden-widescreen {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-hidden-widescreen-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-hidden-fullhd {
+    display: none !important; } }
+
+.is-invisible {
+  visibility: hidden !important; }
+
+@media screen and (max-width: 768px) {
+  .is-invisible-mobile {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-invisible-tablet {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-invisible-tablet-only {
+    visibility: hidden !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-invisible-touch {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-invisible-desktop {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-invisible-desktop-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-invisible-widescreen {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-invisible-widescreen-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-invisible-fullhd {
+    visibility: hidden !important; } }
+
+.is-marginless {
+  margin: 0 !important; }
+
+.is-paddingless {
+  padding: 0 !important; }
+
+.is-radiusless {
+  border-radius: 0 !important; }
+
+.is-shadowless {
+  box-shadow: none !important; }
+
+.is-relative {
+  position: relative !important; }
+
+html.theme--documenter-dark {
+  /* This file contain the overall layout.
+ *
+ * The main container is <div> that is identified by id #documenter.
+ */
+  /*!
+  Theme: a11y-dark
+  Author: @ericwbailey
+  Maintainer: @ericwbailey
+
+  Based on the Tomorrow Night Eighties theme: https://github.com/isagalaev/highlight.js/blob/master/src/styles/tomorrow-night-eighties.css
+*/
+  /* Comment */
+  /* Red */
+  /* Orange */
+  /* Yellow */
+  /* Green */
+  /* Blue */
+  /* Purple */ }
+  html.theme--documenter-dark html {
+    background-color: #1f2424;
+    font-size: 16px;
+    -moz-osx-font-smoothing: grayscale;
+    -webkit-font-smoothing: antialiased;
+    min-width: 300px;
+    overflow-x: auto;
+    overflow-y: scroll;
+    text-rendering: optimizeLegibility;
+    text-size-adjust: 100%; }
+  html.theme--documenter-dark article,
+  html.theme--documenter-dark aside,
+  html.theme--documenter-dark figure,
+  html.theme--documenter-dark footer,
+  html.theme--documenter-dark header,
+  html.theme--documenter-dark hgroup,
+  html.theme--documenter-dark section {
+    display: block; }
+  html.theme--documenter-dark body,
+  html.theme--documenter-dark button,
+  html.theme--documenter-dark input,
+  html.theme--documenter-dark select,
+  html.theme--documenter-dark textarea {
+    font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif; }
+  html.theme--documenter-dark code,
+  html.theme--documenter-dark pre {
+    -moz-osx-font-smoothing: auto;
+    -webkit-font-smoothing: auto;
+    font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace; }
+  html.theme--documenter-dark body {
+    color: #fff;
+    font-size: 1em;
+    font-weight: 400;
+    line-height: 1.5; }
+  html.theme--documenter-dark a {
+    color: #1abc9c;
+    cursor: pointer;
+    text-decoration: none; }
+    html.theme--documenter-dark a strong {
+      color: currentColor; }
+    html.theme--documenter-dark a:hover {
+      color: #1dd2af; }
+  html.theme--documenter-dark code {
+    background-color: rgba(255, 255, 255, 0.05);
+    color: #ececec;
+    font-size: 0.875em;
+    font-weight: normal;
+    padding: 0.1em; }
+  html.theme--documenter-dark hr {
+    background-color: #282f2f;
+    border: none;
+    display: block;
+    height: 2px;
+    margin: 1.5rem 0; }
+  html.theme--documenter-dark img {
+    height: auto;
+    max-width: 100%; }
+  html.theme--documenter-dark input[type="checkbox"],
+  html.theme--documenter-dark input[type="radio"] {
+    vertical-align: baseline; }
+  html.theme--documenter-dark small {
+    font-size: 0.875em; }
+  html.theme--documenter-dark span {
+    font-style: inherit;
+    font-weight: inherit; }
+  html.theme--documenter-dark strong {
+    color: #f2f2f2;
+    font-weight: 700; }
+  html.theme--documenter-dark fieldset {
+    border: none; }
+  html.theme--documenter-dark pre {
+    -webkit-overflow-scrolling: touch;
+    background-color: #282f2f;
+    color: #fff;
+    font-size: 0.875em;
+    overflow-x: auto;
+    padding: 1.25rem 1.5rem;
+    white-space: pre;
+    word-wrap: normal; }
+    html.theme--documenter-dark pre code {
+      background-color: transparent;
+      color: currentColor;
+      font-size: 1em;
+      padding: 0; }
+  html.theme--documenter-dark table td,
+  html.theme--documenter-dark table th {
+    vertical-align: top; }
+    html.theme--documenter-dark table td:not([align]),
+    html.theme--documenter-dark table th:not([align]) {
+      text-align: left; }
+  html.theme--documenter-dark table th {
+    color: #f2f2f2; }
+  html.theme--documenter-dark .box {
+    background-color: #343c3d;
+    border-radius: 8px;
+    box-shadow: none;
+    color: #fff;
+    display: block;
+    padding: 1.25rem; }
+  html.theme--documenter-dark a.box:hover, html.theme--documenter-dark a.box:focus {
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px #1abc9c; }
+  html.theme--documenter-dark a.box:active {
+    box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2), 0 0 0 1px #1abc9c; }
+  html.theme--documenter-dark .button {
+    background-color: #282f2f;
+    border-color: #4c5759;
+    border-width: 1px;
+    color: #375a7f;
+    cursor: pointer;
+    justify-content: center;
+    padding-bottom: calc(0.375em - 1px);
+    padding-left: 0.75em;
+    padding-right: 0.75em;
+    padding-top: calc(0.375em - 1px);
+    text-align: center;
+    white-space: nowrap; }
+    html.theme--documenter-dark .button strong {
+      color: inherit; }
+    html.theme--documenter-dark .button .icon, html.theme--documenter-dark .button .icon.is-small, html.theme--documenter-dark .button #documenter .docs-sidebar form.docs-search > input.icon, html.theme--documenter-dark #documenter .docs-sidebar .button form.docs-search > input.icon, html.theme--documenter-dark .button .icon.is-medium, html.theme--documenter-dark .button .icon.is-large {
+      height: 1.5em;
+      width: 1.5em; }
+    html.theme--documenter-dark .button .icon:first-child:not(:last-child) {
+      margin-left: calc(-0.375em - 1px);
+      margin-right: 0.1875em; }
+    html.theme--documenter-dark .button .icon:last-child:not(:first-child) {
+      margin-left: 0.1875em;
+      margin-right: calc(-0.375em - 1px); }
+    html.theme--documenter-dark .button .icon:first-child:last-child {
+      margin-left: calc(-0.375em - 1px);
+      margin-right: calc(-0.375em - 1px); }
+    html.theme--documenter-dark .button:hover, html.theme--documenter-dark .button.is-hovered {
+      border-color: #8c9b9d;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .button:focus, html.theme--documenter-dark .button.is-focused {
+      border-color: #8c9b9d;
+      color: #17a689; }
+      html.theme--documenter-dark .button:focus:not(:active), html.theme--documenter-dark .button.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .button:active, html.theme--documenter-dark .button.is-active {
+      border-color: #343c3d;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .button.is-text {
+      background-color: transparent;
+      border-color: transparent;
+      color: #fff;
+      text-decoration: underline; }
+      html.theme--documenter-dark .button.is-text:hover, html.theme--documenter-dark .button.is-text.is-hovered, html.theme--documenter-dark .button.is-text:focus, html.theme--documenter-dark .button.is-text.is-focused {
+        background-color: #282f2f;
+        color: #f2f2f2; }
+      html.theme--documenter-dark .button.is-text:active, html.theme--documenter-dark .button.is-text.is-active {
+        background-color: #1d2122;
+        color: #f2f2f2; }
+      html.theme--documenter-dark .button.is-text[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-text {
+        background-color: transparent;
+        border-color: transparent;
+        box-shadow: none; }
+    html.theme--documenter-dark .button.is-white {
+      background-color: white;
+      border-color: transparent;
+      color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-white:hover, html.theme--documenter-dark .button.is-white.is-hovered {
+        background-color: #f9f9f9;
+        border-color: transparent;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-white:focus, html.theme--documenter-dark .button.is-white.is-focused {
+        border-color: transparent;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-white:focus:not(:active), html.theme--documenter-dark .button.is-white.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+      html.theme--documenter-dark .button.is-white:active, html.theme--documenter-dark .button.is-white.is-active {
+        background-color: #f2f2f2;
+        border-color: transparent;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-white[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white {
+        background-color: white;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-white.is-inverted {
+        background-color: #0a0a0a;
+        color: white; }
+        html.theme--documenter-dark .button.is-white.is-inverted:hover, html.theme--documenter-dark .button.is-white.is-inverted.is-hovered {
+          background-color: black; }
+        html.theme--documenter-dark .button.is-white.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted {
+          background-color: #0a0a0a;
+          border-color: transparent;
+          box-shadow: none;
+          color: white; }
+      html.theme--documenter-dark .button.is-white.is-loading::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      html.theme--documenter-dark .button.is-white.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        color: white; }
+        html.theme--documenter-dark .button.is-white.is-outlined:hover, html.theme--documenter-dark .button.is-white.is-outlined.is-hovered, html.theme--documenter-dark .button.is-white.is-outlined:focus, html.theme--documenter-dark .button.is-white.is-outlined.is-focused {
+          background-color: white;
+          border-color: white;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-white.is-outlined.is-loading::after {
+          border-color: transparent transparent white white !important; }
+        html.theme--documenter-dark .button.is-white.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+        html.theme--documenter-dark .button.is-white.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-outlined {
+          background-color: transparent;
+          border-color: white;
+          box-shadow: none;
+          color: white; }
+      html.theme--documenter-dark .button.is-white.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-focused {
+          background-color: #0a0a0a;
+          color: white; }
+        html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent white white !important; }
+        html.theme--documenter-dark .button.is-white.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #0a0a0a;
+          box-shadow: none;
+          color: #0a0a0a; }
+    html.theme--documenter-dark .button.is-black {
+      background-color: #0a0a0a;
+      border-color: transparent;
+      color: white; }
+      html.theme--documenter-dark .button.is-black:hover, html.theme--documenter-dark .button.is-black.is-hovered {
+        background-color: #040404;
+        border-color: transparent;
+        color: white; }
+      html.theme--documenter-dark .button.is-black:focus, html.theme--documenter-dark .button.is-black.is-focused {
+        border-color: transparent;
+        color: white; }
+        html.theme--documenter-dark .button.is-black:focus:not(:active), html.theme--documenter-dark .button.is-black.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+      html.theme--documenter-dark .button.is-black:active, html.theme--documenter-dark .button.is-black.is-active {
+        background-color: black;
+        border-color: transparent;
+        color: white; }
+      html.theme--documenter-dark .button.is-black[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black {
+        background-color: #0a0a0a;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-black.is-inverted {
+        background-color: white;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-black.is-inverted:hover, html.theme--documenter-dark .button.is-black.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-black.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted {
+          background-color: white;
+          border-color: transparent;
+          box-shadow: none;
+          color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-black.is-loading::after {
+        border-color: transparent transparent white white !important; }
+      html.theme--documenter-dark .button.is-black.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-black.is-outlined:hover, html.theme--documenter-dark .button.is-black.is-outlined.is-hovered, html.theme--documenter-dark .button.is-black.is-outlined:focus, html.theme--documenter-dark .button.is-black.is-outlined.is-focused {
+          background-color: #0a0a0a;
+          border-color: #0a0a0a;
+          color: white; }
+        html.theme--documenter-dark .button.is-black.is-outlined.is-loading::after {
+          border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+        html.theme--documenter-dark .button.is-black.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent white white !important; }
+        html.theme--documenter-dark .button.is-black.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-outlined {
+          background-color: transparent;
+          border-color: #0a0a0a;
+          box-shadow: none;
+          color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-black.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        color: white; }
+        html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-focused {
+          background-color: white;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+        html.theme--documenter-dark .button.is-black.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: white;
+          box-shadow: none;
+          color: white; }
+    html.theme--documenter-dark .button.is-light {
+      background-color: #ecf0f1;
+      border-color: transparent;
+      color: #282f2f; }
+      html.theme--documenter-dark .button.is-light:hover, html.theme--documenter-dark .button.is-light.is-hovered {
+        background-color: #e5eaec;
+        border-color: transparent;
+        color: #282f2f; }
+      html.theme--documenter-dark .button.is-light:focus, html.theme--documenter-dark .button.is-light.is-focused {
+        border-color: transparent;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-light:focus:not(:active), html.theme--documenter-dark .button.is-light.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); }
+      html.theme--documenter-dark .button.is-light:active, html.theme--documenter-dark .button.is-light.is-active {
+        background-color: #dde4e6;
+        border-color: transparent;
+        color: #282f2f; }
+      html.theme--documenter-dark .button.is-light[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light {
+        background-color: #ecf0f1;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-light.is-inverted {
+        background-color: #282f2f;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-light.is-inverted:hover, html.theme--documenter-dark .button.is-light.is-inverted.is-hovered {
+          background-color: #1d2122; }
+        html.theme--documenter-dark .button.is-light.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted {
+          background-color: #282f2f;
+          border-color: transparent;
+          box-shadow: none;
+          color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-light.is-loading::after {
+        border-color: transparent transparent #282f2f #282f2f !important; }
+      html.theme--documenter-dark .button.is-light.is-outlined {
+        background-color: transparent;
+        border-color: #ecf0f1;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-light.is-outlined:hover, html.theme--documenter-dark .button.is-light.is-outlined.is-hovered, html.theme--documenter-dark .button.is-light.is-outlined:focus, html.theme--documenter-dark .button.is-light.is-outlined.is-focused {
+          background-color: #ecf0f1;
+          border-color: #ecf0f1;
+          color: #282f2f; }
+        html.theme--documenter-dark .button.is-light.is-outlined.is-loading::after {
+          border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+        html.theme--documenter-dark .button.is-light.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #282f2f #282f2f !important; }
+        html.theme--documenter-dark .button.is-light.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-outlined {
+          background-color: transparent;
+          border-color: #ecf0f1;
+          box-shadow: none;
+          color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-light.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #282f2f;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused {
+          background-color: #282f2f;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+        html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #282f2f;
+          box-shadow: none;
+          color: #282f2f; }
+    html.theme--documenter-dark .button.is-dark, html.theme--documenter-dark .content kbd.button {
+      background-color: #282f2f;
+      border-color: transparent;
+      color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-dark:hover, html.theme--documenter-dark .content kbd.button:hover, html.theme--documenter-dark .button.is-dark.is-hovered, html.theme--documenter-dark .content kbd.button.is-hovered {
+        background-color: #232829;
+        border-color: transparent;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-dark:focus, html.theme--documenter-dark .content kbd.button:focus, html.theme--documenter-dark .button.is-dark.is-focused, html.theme--documenter-dark .content kbd.button.is-focused {
+        border-color: transparent;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-dark:focus:not(:active), html.theme--documenter-dark .content kbd.button:focus:not(:active), html.theme--documenter-dark .button.is-dark.is-focused:not(:active), html.theme--documenter-dark .content kbd.button.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); }
+      html.theme--documenter-dark .button.is-dark:active, html.theme--documenter-dark .content kbd.button:active, html.theme--documenter-dark .button.is-dark.is-active, html.theme--documenter-dark .content kbd.button.is-active {
+        background-color: #1d2122;
+        border-color: transparent;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-dark[disabled], html.theme--documenter-dark .content kbd.button[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark, fieldset[disabled] html.theme--documenter-dark .content kbd.button {
+        background-color: #282f2f;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-dark.is-inverted, html.theme--documenter-dark .content kbd.button.is-inverted {
+        background-color: #ecf0f1;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-dark.is-inverted:hover, html.theme--documenter-dark .content kbd.button.is-inverted:hover, html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered, html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered {
+          background-color: #dde4e6; }
+        html.theme--documenter-dark .button.is-dark.is-inverted[disabled], html.theme--documenter-dark .content kbd.button.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted {
+          background-color: #ecf0f1;
+          border-color: transparent;
+          box-shadow: none;
+          color: #282f2f; }
+      html.theme--documenter-dark .button.is-dark.is-loading::after, html.theme--documenter-dark .content kbd.button.is-loading::after {
+        border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+      html.theme--documenter-dark .button.is-dark.is-outlined, html.theme--documenter-dark .content kbd.button.is-outlined {
+        background-color: transparent;
+        border-color: #282f2f;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-dark.is-outlined:hover, html.theme--documenter-dark .content kbd.button.is-outlined:hover, html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered, html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered, html.theme--documenter-dark .button.is-dark.is-outlined:focus, html.theme--documenter-dark .content kbd.button.is-outlined:focus, html.theme--documenter-dark .button.is-dark.is-outlined.is-focused, html.theme--documenter-dark .content kbd.button.is-outlined.is-focused {
+          background-color: #282f2f;
+          border-color: #282f2f;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after {
+          border-color: transparent transparent #282f2f #282f2f !important; }
+        html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+        html.theme--documenter-dark .button.is-dark.is-outlined[disabled], html.theme--documenter-dark .content kbd.button.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined {
+          background-color: transparent;
+          border-color: #282f2f;
+          box-shadow: none;
+          color: #282f2f; }
+      html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #ecf0f1;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused {
+          background-color: #ecf0f1;
+          color: #282f2f; }
+        html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #282f2f #282f2f !important; }
+        html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled], html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #ecf0f1;
+          box-shadow: none;
+          color: #ecf0f1; }
+    html.theme--documenter-dark .button.is-primary, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink {
+      background-color: #375a7f;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-primary:hover, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-hovered.docs-sourcelink {
+        background-color: #335476;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-primary:focus, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-primary:focus:not(:active), html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus:not(:active), html.theme--documenter-dark .button.is-primary.is-focused:not(:active), html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); }
+      html.theme--documenter-dark .button.is-primary:active, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:active, html.theme--documenter-dark .button.is-primary.is-active, html.theme--documenter-dark .docstring > section > a.button.is-active.docs-sourcelink {
+        background-color: #2f4d6d;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-primary[disabled], html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink {
+        background-color: #375a7f;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-primary.is-inverted, html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink {
+        background-color: #fff;
+        color: #375a7f; }
+        html.theme--documenter-dark .button.is-primary.is-inverted:hover, html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-inverted.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-hovered.docs-sourcelink {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-primary.is-inverted[disabled], html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #375a7f; }
+      html.theme--documenter-dark .button.is-primary.is-loading::after, html.theme--documenter-dark .docstring > section > a.button.is-loading.docs-sourcelink::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-primary.is-outlined, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #375a7f;
+        color: #375a7f; }
+        html.theme--documenter-dark .button.is-primary.is-outlined:hover, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-outlined.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-outlined:focus, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-outlined.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-focused.docs-sourcelink {
+          background-color: #375a7f;
+          border-color: #375a7f;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-primary.is-outlined.is-loading::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink::after {
+          border-color: transparent transparent #375a7f #375a7f !important; }
+        html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:hover::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:hover::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:focus::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:focus::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-primary.is-outlined[disabled], html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-outlined, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink {
+          background-color: transparent;
+          border-color: #375a7f;
+          box-shadow: none;
+          color: #375a7f; }
+      html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined:hover, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined:focus, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-focused.docs-sourcelink {
+          background-color: #fff;
+          color: #375a7f; }
+        html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+          border-color: transparent transparent #375a7f #375a7f !important; }
+        html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined[disabled], html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-link {
+      background-color: #1abc9c;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-link:hover, html.theme--documenter-dark .button.is-link.is-hovered {
+        background-color: #18b193;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-link:focus, html.theme--documenter-dark .button.is-link.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-link:focus:not(:active), html.theme--documenter-dark .button.is-link.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+      html.theme--documenter-dark .button.is-link:active, html.theme--documenter-dark .button.is-link.is-active {
+        background-color: #17a689;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-link[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link {
+        background-color: #1abc9c;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-link.is-inverted {
+        background-color: #fff;
+        color: #1abc9c; }
+        html.theme--documenter-dark .button.is-link.is-inverted:hover, html.theme--documenter-dark .button.is-link.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-link.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #1abc9c; }
+      html.theme--documenter-dark .button.is-link.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-link.is-outlined {
+        background-color: transparent;
+        border-color: #1abc9c;
+        color: #1abc9c; }
+        html.theme--documenter-dark .button.is-link.is-outlined:hover, html.theme--documenter-dark .button.is-link.is-outlined.is-hovered, html.theme--documenter-dark .button.is-link.is-outlined:focus, html.theme--documenter-dark .button.is-link.is-outlined.is-focused {
+          background-color: #1abc9c;
+          border-color: #1abc9c;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-link.is-outlined.is-loading::after {
+          border-color: transparent transparent #1abc9c #1abc9c !important; }
+        html.theme--documenter-dark .button.is-link.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-link.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-outlined {
+          background-color: transparent;
+          border-color: #1abc9c;
+          box-shadow: none;
+          color: #1abc9c; }
+      html.theme--documenter-dark .button.is-link.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #1abc9c; }
+        html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #1abc9c #1abc9c !important; }
+        html.theme--documenter-dark .button.is-link.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-info {
+      background-color: #024c7d;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-info:hover, html.theme--documenter-dark .button.is-info.is-hovered {
+        background-color: #024470;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-info:focus, html.theme--documenter-dark .button.is-info.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-info:focus:not(:active), html.theme--documenter-dark .button.is-info.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); }
+      html.theme--documenter-dark .button.is-info:active, html.theme--documenter-dark .button.is-info.is-active {
+        background-color: #023d64;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-info[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info {
+        background-color: #024c7d;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-info.is-inverted {
+        background-color: #fff;
+        color: #024c7d; }
+        html.theme--documenter-dark .button.is-info.is-inverted:hover, html.theme--documenter-dark .button.is-info.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-info.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #024c7d; }
+      html.theme--documenter-dark .button.is-info.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-info.is-outlined {
+        background-color: transparent;
+        border-color: #024c7d;
+        color: #024c7d; }
+        html.theme--documenter-dark .button.is-info.is-outlined:hover, html.theme--documenter-dark .button.is-info.is-outlined.is-hovered, html.theme--documenter-dark .button.is-info.is-outlined:focus, html.theme--documenter-dark .button.is-info.is-outlined.is-focused {
+          background-color: #024c7d;
+          border-color: #024c7d;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-info.is-outlined.is-loading::after {
+          border-color: transparent transparent #024c7d #024c7d !important; }
+        html.theme--documenter-dark .button.is-info.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-info.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-outlined {
+          background-color: transparent;
+          border-color: #024c7d;
+          box-shadow: none;
+          color: #024c7d; }
+      html.theme--documenter-dark .button.is-info.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #024c7d; }
+        html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #024c7d #024c7d !important; }
+        html.theme--documenter-dark .button.is-info.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-success {
+      background-color: #008438;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-success:hover, html.theme--documenter-dark .button.is-success.is-hovered {
+        background-color: #007733;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-success:focus, html.theme--documenter-dark .button.is-success.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-success:focus:not(:active), html.theme--documenter-dark .button.is-success.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); }
+      html.theme--documenter-dark .button.is-success:active, html.theme--documenter-dark .button.is-success.is-active {
+        background-color: #006b2d;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-success[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success {
+        background-color: #008438;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-success.is-inverted {
+        background-color: #fff;
+        color: #008438; }
+        html.theme--documenter-dark .button.is-success.is-inverted:hover, html.theme--documenter-dark .button.is-success.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-success.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #008438; }
+      html.theme--documenter-dark .button.is-success.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-success.is-outlined {
+        background-color: transparent;
+        border-color: #008438;
+        color: #008438; }
+        html.theme--documenter-dark .button.is-success.is-outlined:hover, html.theme--documenter-dark .button.is-success.is-outlined.is-hovered, html.theme--documenter-dark .button.is-success.is-outlined:focus, html.theme--documenter-dark .button.is-success.is-outlined.is-focused {
+          background-color: #008438;
+          border-color: #008438;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-success.is-outlined.is-loading::after {
+          border-color: transparent transparent #008438 #008438 !important; }
+        html.theme--documenter-dark .button.is-success.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-success.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-outlined {
+          background-color: transparent;
+          border-color: #008438;
+          box-shadow: none;
+          color: #008438; }
+      html.theme--documenter-dark .button.is-success.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #008438; }
+        html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #008438 #008438 !important; }
+        html.theme--documenter-dark .button.is-success.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-warning {
+      background-color: #ad8100;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-warning:hover, html.theme--documenter-dark .button.is-warning.is-hovered {
+        background-color: #a07700;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-warning:focus, html.theme--documenter-dark .button.is-warning.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-warning:focus:not(:active), html.theme--documenter-dark .button.is-warning.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); }
+      html.theme--documenter-dark .button.is-warning:active, html.theme--documenter-dark .button.is-warning.is-active {
+        background-color: #946e00;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-warning[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning {
+        background-color: #ad8100;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-warning.is-inverted {
+        background-color: #fff;
+        color: #ad8100; }
+        html.theme--documenter-dark .button.is-warning.is-inverted:hover, html.theme--documenter-dark .button.is-warning.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-warning.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #ad8100; }
+      html.theme--documenter-dark .button.is-warning.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-warning.is-outlined {
+        background-color: transparent;
+        border-color: #ad8100;
+        color: #ad8100; }
+        html.theme--documenter-dark .button.is-warning.is-outlined:hover, html.theme--documenter-dark .button.is-warning.is-outlined.is-hovered, html.theme--documenter-dark .button.is-warning.is-outlined:focus, html.theme--documenter-dark .button.is-warning.is-outlined.is-focused {
+          background-color: #ad8100;
+          border-color: #ad8100;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-warning.is-outlined.is-loading::after {
+          border-color: transparent transparent #ad8100 #ad8100 !important; }
+        html.theme--documenter-dark .button.is-warning.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-warning.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-outlined {
+          background-color: transparent;
+          border-color: #ad8100;
+          box-shadow: none;
+          color: #ad8100; }
+      html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #ad8100; }
+        html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #ad8100 #ad8100 !important; }
+        html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-danger {
+      background-color: #9e1b0d;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-danger:hover, html.theme--documenter-dark .button.is-danger.is-hovered {
+        background-color: #92190c;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-danger:focus, html.theme--documenter-dark .button.is-danger.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-danger:focus:not(:active), html.theme--documenter-dark .button.is-danger.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); }
+      html.theme--documenter-dark .button.is-danger:active, html.theme--documenter-dark .button.is-danger.is-active {
+        background-color: #86170b;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-danger[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger {
+        background-color: #9e1b0d;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-danger.is-inverted {
+        background-color: #fff;
+        color: #9e1b0d; }
+        html.theme--documenter-dark .button.is-danger.is-inverted:hover, html.theme--documenter-dark .button.is-danger.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-danger.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #9e1b0d; }
+      html.theme--documenter-dark .button.is-danger.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-danger.is-outlined {
+        background-color: transparent;
+        border-color: #9e1b0d;
+        color: #9e1b0d; }
+        html.theme--documenter-dark .button.is-danger.is-outlined:hover, html.theme--documenter-dark .button.is-danger.is-outlined.is-hovered, html.theme--documenter-dark .button.is-danger.is-outlined:focus, html.theme--documenter-dark .button.is-danger.is-outlined.is-focused {
+          background-color: #9e1b0d;
+          border-color: #9e1b0d;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-danger.is-outlined.is-loading::after {
+          border-color: transparent transparent #9e1b0d #9e1b0d !important; }
+        html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-danger.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-outlined {
+          background-color: transparent;
+          border-color: #9e1b0d;
+          box-shadow: none;
+          color: #9e1b0d; }
+      html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #9e1b0d; }
+        html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #9e1b0d #9e1b0d !important; }
+        html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.button {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .button.is-normal {
+      font-size: 15px; }
+    html.theme--documenter-dark .button.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .button.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .button[disabled], fieldset[disabled] html.theme--documenter-dark .button {
+      background-color: #8c9b9d;
+      border-color: #dbdee0;
+      box-shadow: none;
+      opacity: 0.5; }
+    html.theme--documenter-dark .button.is-fullwidth {
+      display: flex;
+      width: 100%; }
+    html.theme--documenter-dark .button.is-loading {
+      color: transparent !important;
+      pointer-events: none; }
+      html.theme--documenter-dark .button.is-loading::after {
+        position: absolute;
+        left: calc(50% - (1em / 2));
+        top: calc(50% - (1em / 2));
+        position: absolute !important; }
+    html.theme--documenter-dark .button.is-static {
+      background-color: #282f2f;
+      border-color: #5e6d6f;
+      color: #dbdee0;
+      box-shadow: none;
+      pointer-events: none; }
+    html.theme--documenter-dark .button.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.button {
+      border-radius: 290486px;
+      padding-left: 1em;
+      padding-right: 1em; }
+  html.theme--documenter-dark .buttons {
+    align-items: center;
+    display: flex;
+    flex-wrap: wrap;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .buttons .button {
+      margin-bottom: 0.5rem; }
+      html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth) {
+        margin-right: 0.5rem; }
+    html.theme--documenter-dark .buttons:last-child {
+      margin-bottom: -0.5rem; }
+    html.theme--documenter-dark .buttons:not(:last-child) {
+      margin-bottom: 1rem; }
+    html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large) {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large) {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium) {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .buttons.has-addons .button:not(:first-child) {
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    html.theme--documenter-dark .buttons.has-addons .button:not(:last-child) {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0;
+      margin-right: -1px; }
+    html.theme--documenter-dark .buttons.has-addons .button:last-child {
+      margin-right: 0; }
+    html.theme--documenter-dark .buttons.has-addons .button:hover, html.theme--documenter-dark .buttons.has-addons .button.is-hovered {
+      z-index: 2; }
+    html.theme--documenter-dark .buttons.has-addons .button:focus, html.theme--documenter-dark .buttons.has-addons .button.is-focused, html.theme--documenter-dark .buttons.has-addons .button:active, html.theme--documenter-dark .buttons.has-addons .button.is-active, html.theme--documenter-dark .buttons.has-addons .button.is-selected {
+      z-index: 3; }
+      html.theme--documenter-dark .buttons.has-addons .button:focus:hover, html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover, html.theme--documenter-dark .buttons.has-addons .button:active:hover, html.theme--documenter-dark .buttons.has-addons .button.is-active:hover, html.theme--documenter-dark .buttons.has-addons .button.is-selected:hover {
+        z-index: 4; }
+    html.theme--documenter-dark .buttons.has-addons .button.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .buttons.is-centered {
+      justify-content: center; }
+      html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth) {
+        margin-left: 0.25rem;
+        margin-right: 0.25rem; }
+    html.theme--documenter-dark .buttons.is-right {
+      justify-content: flex-end; }
+      html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth) {
+        margin-left: 0.25rem;
+        margin-right: 0.25rem; }
+  html.theme--documenter-dark .container {
+    flex-grow: 1;
+    margin: 0 auto;
+    position: relative;
+    width: auto; }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .container {
+        max-width: 992px; }
+        html.theme--documenter-dark .container.is-fluid {
+          margin-left: 32px;
+          margin-right: 32px;
+          max-width: none; } }
+    @media screen and (max-width: 1215px) {
+      html.theme--documenter-dark .container.is-widescreen {
+        max-width: 1152px; } }
+    @media screen and (max-width: 1407px) {
+      html.theme--documenter-dark .container.is-fullhd {
+        max-width: 1344px; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .container {
+        max-width: 1152px; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .container {
+        max-width: 1344px; } }
+  html.theme--documenter-dark .content li + li {
+    margin-top: 0.25em; }
+  html.theme--documenter-dark .content p:not(:last-child),
+  html.theme--documenter-dark .content dl:not(:last-child),
+  html.theme--documenter-dark .content ol:not(:last-child),
+  html.theme--documenter-dark .content ul:not(:last-child),
+  html.theme--documenter-dark .content blockquote:not(:last-child),
+  html.theme--documenter-dark .content pre:not(:last-child),
+  html.theme--documenter-dark .content table:not(:last-child) {
+    margin-bottom: 1em; }
+  html.theme--documenter-dark .content h1,
+  html.theme--documenter-dark .content h2,
+  html.theme--documenter-dark .content h3,
+  html.theme--documenter-dark .content h4,
+  html.theme--documenter-dark .content h5,
+  html.theme--documenter-dark .content h6 {
+    color: #f2f2f2;
+    font-weight: 600;
+    line-height: 1.125; }
+  html.theme--documenter-dark .content h1 {
+    font-size: 2em;
+    margin-bottom: 0.5em; }
+    html.theme--documenter-dark .content h1:not(:first-child) {
+      margin-top: 1em; }
+  html.theme--documenter-dark .content h2 {
+    font-size: 1.75em;
+    margin-bottom: 0.5714em; }
+    html.theme--documenter-dark .content h2:not(:first-child) {
+      margin-top: 1.1428em; }
+  html.theme--documenter-dark .content h3 {
+    font-size: 1.5em;
+    margin-bottom: 0.6666em; }
+    html.theme--documenter-dark .content h3:not(:first-child) {
+      margin-top: 1.3333em; }
+  html.theme--documenter-dark .content h4 {
+    font-size: 1.25em;
+    margin-bottom: 0.8em; }
+  html.theme--documenter-dark .content h5 {
+    font-size: 1.125em;
+    margin-bottom: 0.8888em; }
+  html.theme--documenter-dark .content h6 {
+    font-size: 1em;
+    margin-bottom: 1em; }
+  html.theme--documenter-dark .content blockquote {
+    background-color: #282f2f;
+    border-left: 5px solid #5e6d6f;
+    padding: 1.25em 1.5em; }
+  html.theme--documenter-dark .content ol {
+    list-style-position: outside;
+    margin-left: 2em;
+    margin-top: 1em; }
+    html.theme--documenter-dark .content ol:not([type]) {
+      list-style-type: decimal; }
+      html.theme--documenter-dark .content ol.is-lower-alpha:not([type]) {
+        list-style-type: lower-alpha; }
+      html.theme--documenter-dark .content ol.is-lower-roman:not([type]) {
+        list-style-type: lower-roman; }
+      html.theme--documenter-dark .content ol.is-upper-alpha:not([type]) {
+        list-style-type: upper-alpha; }
+      html.theme--documenter-dark .content ol.is-upper-roman:not([type]) {
+        list-style-type: upper-roman; }
+  html.theme--documenter-dark .content ul {
+    list-style: disc outside;
+    margin-left: 2em;
+    margin-top: 1em; }
+    html.theme--documenter-dark .content ul ul {
+      list-style-type: circle;
+      margin-top: 0.5em; }
+      html.theme--documenter-dark .content ul ul ul {
+        list-style-type: square; }
+  html.theme--documenter-dark .content dd {
+    margin-left: 2em; }
+  html.theme--documenter-dark .content figure {
+    margin-left: 2em;
+    margin-right: 2em;
+    text-align: center; }
+    html.theme--documenter-dark .content figure:not(:first-child) {
+      margin-top: 2em; }
+    html.theme--documenter-dark .content figure:not(:last-child) {
+      margin-bottom: 2em; }
+    html.theme--documenter-dark .content figure img {
+      display: inline-block; }
+    html.theme--documenter-dark .content figure figcaption {
+      font-style: italic; }
+  html.theme--documenter-dark .content pre {
+    -webkit-overflow-scrolling: touch;
+    overflow-x: auto;
+    padding: 0;
+    white-space: pre;
+    word-wrap: normal; }
+  html.theme--documenter-dark .content sup,
+  html.theme--documenter-dark .content sub {
+    font-size: 75%; }
+  html.theme--documenter-dark .content table {
+    width: 100%; }
+    html.theme--documenter-dark .content table td,
+    html.theme--documenter-dark .content table th {
+      border: 1px solid #5e6d6f;
+      border-width: 0 0 1px;
+      padding: 0.5em 0.75em;
+      vertical-align: top; }
+    html.theme--documenter-dark .content table th {
+      color: #f2f2f2; }
+      html.theme--documenter-dark .content table th:not([align]) {
+        text-align: left; }
+    html.theme--documenter-dark .content table thead td,
+    html.theme--documenter-dark .content table thead th {
+      border-width: 0 0 2px;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .content table tfoot td,
+    html.theme--documenter-dark .content table tfoot th {
+      border-width: 2px 0 0;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .content table tbody tr:last-child td,
+    html.theme--documenter-dark .content table tbody tr:last-child th {
+      border-bottom-width: 0; }
+  html.theme--documenter-dark .content .tabs li + li {
+    margin-top: 0; }
+  html.theme--documenter-dark .content.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.content {
+    font-size: 0.85em; }
+  html.theme--documenter-dark .content.is-medium {
+    font-size: 1.25rem; }
+  html.theme--documenter-dark .content.is-large {
+    font-size: 1.5rem; }
+  html.theme--documenter-dark .icon {
+    align-items: center;
+    display: inline-flex;
+    justify-content: center;
+    height: 1.5rem;
+    width: 1.5rem; }
+    html.theme--documenter-dark .icon.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.icon {
+      height: 1rem;
+      width: 1rem; }
+    html.theme--documenter-dark .icon.is-medium {
+      height: 2rem;
+      width: 2rem; }
+    html.theme--documenter-dark .icon.is-large {
+      height: 3rem;
+      width: 3rem; }
+  html.theme--documenter-dark .image, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img {
+    display: block;
+    position: relative; }
+    html.theme--documenter-dark .image img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img img {
+      display: block;
+      height: auto;
+      width: 100%; }
+      html.theme--documenter-dark .image img.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img img.is-rounded {
+        border-radius: 290486px; }
+    html.theme--documenter-dark .image.is-square img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square img,
+    html.theme--documenter-dark .image.is-square .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, html.theme--documenter-dark .image.is-1by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+    html.theme--documenter-dark .image.is-1by1 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, html.theme--documenter-dark .image.is-5by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+    html.theme--documenter-dark .image.is-5by4 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, html.theme--documenter-dark .image.is-4by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+    html.theme--documenter-dark .image.is-4by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, html.theme--documenter-dark .image.is-3by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+    html.theme--documenter-dark .image.is-3by2 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, html.theme--documenter-dark .image.is-5by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+    html.theme--documenter-dark .image.is-5by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, html.theme--documenter-dark .image.is-16by9 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+    html.theme--documenter-dark .image.is-16by9 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, html.theme--documenter-dark .image.is-2by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+    html.theme--documenter-dark .image.is-2by1 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, html.theme--documenter-dark .image.is-3by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+    html.theme--documenter-dark .image.is-3by1 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, html.theme--documenter-dark .image.is-4by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+    html.theme--documenter-dark .image.is-4by5 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, html.theme--documenter-dark .image.is-3by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+    html.theme--documenter-dark .image.is-3by4 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, html.theme--documenter-dark .image.is-2by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+    html.theme--documenter-dark .image.is-2by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, html.theme--documenter-dark .image.is-3by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+    html.theme--documenter-dark .image.is-3by5 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, html.theme--documenter-dark .image.is-9by16 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+    html.theme--documenter-dark .image.is-9by16 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, html.theme--documenter-dark .image.is-1by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+    html.theme--documenter-dark .image.is-1by2 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, html.theme--documenter-dark .image.is-1by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+    html.theme--documenter-dark .image.is-1by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio {
+      height: 100%;
+      width: 100%; }
+    html.theme--documenter-dark .image.is-square, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square, html.theme--documenter-dark .image.is-1by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 {
+      padding-top: 100%; }
+    html.theme--documenter-dark .image.is-5by4, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 {
+      padding-top: 80%; }
+    html.theme--documenter-dark .image.is-4by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 {
+      padding-top: 75%; }
+    html.theme--documenter-dark .image.is-3by2, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 {
+      padding-top: 66.6666%; }
+    html.theme--documenter-dark .image.is-5by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 {
+      padding-top: 60%; }
+    html.theme--documenter-dark .image.is-16by9, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 {
+      padding-top: 56.25%; }
+    html.theme--documenter-dark .image.is-2by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 {
+      padding-top: 50%; }
+    html.theme--documenter-dark .image.is-3by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 {
+      padding-top: 33.3333%; }
+    html.theme--documenter-dark .image.is-4by5, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 {
+      padding-top: 125%; }
+    html.theme--documenter-dark .image.is-3by4, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 {
+      padding-top: 133.3333%; }
+    html.theme--documenter-dark .image.is-2by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 {
+      padding-top: 150%; }
+    html.theme--documenter-dark .image.is-3by5, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 {
+      padding-top: 166.6666%; }
+    html.theme--documenter-dark .image.is-9by16, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 {
+      padding-top: 177.7777%; }
+    html.theme--documenter-dark .image.is-1by2, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 {
+      padding-top: 200%; }
+    html.theme--documenter-dark .image.is-1by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 {
+      padding-top: 300%; }
+    html.theme--documenter-dark .image.is-16x16, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16x16 {
+      height: 16px;
+      width: 16px; }
+    html.theme--documenter-dark .image.is-24x24, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-24x24 {
+      height: 24px;
+      width: 24px; }
+    html.theme--documenter-dark .image.is-32x32, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-32x32 {
+      height: 32px;
+      width: 32px; }
+    html.theme--documenter-dark .image.is-48x48, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-48x48 {
+      height: 48px;
+      width: 48px; }
+    html.theme--documenter-dark .image.is-64x64, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-64x64 {
+      height: 64px;
+      width: 64px; }
+    html.theme--documenter-dark .image.is-96x96, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-96x96 {
+      height: 96px;
+      width: 96px; }
+    html.theme--documenter-dark .image.is-128x128, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-128x128 {
+      height: 128px;
+      width: 128px; }
+  html.theme--documenter-dark .notification {
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    padding: 1.25rem 2.5rem 1.25rem 1.5rem;
+    position: relative; }
+    html.theme--documenter-dark .notification a:not(.button):not(.dropdown-item) {
+      color: currentColor;
+      text-decoration: underline; }
+    html.theme--documenter-dark .notification strong {
+      color: currentColor; }
+    html.theme--documenter-dark .notification code,
+    html.theme--documenter-dark .notification pre {
+      background: white; }
+    html.theme--documenter-dark .notification pre code {
+      background: transparent; }
+    html.theme--documenter-dark .notification > .delete {
+      position: absolute;
+      right: 0.5rem;
+      top: 0.5rem; }
+    html.theme--documenter-dark .notification .title,
+    html.theme--documenter-dark .notification .subtitle,
+    html.theme--documenter-dark .notification .content {
+      color: currentColor; }
+    html.theme--documenter-dark .notification.is-white {
+      background-color: white;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .notification.is-black {
+      background-color: #0a0a0a;
+      color: white; }
+    html.theme--documenter-dark .notification.is-light {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+    html.theme--documenter-dark .notification.is-dark, html.theme--documenter-dark .content kbd.notification {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .notification.is-primary, html.theme--documenter-dark .docstring > section > a.notification.docs-sourcelink {
+      background-color: #375a7f;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-link {
+      background-color: #1abc9c;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-info {
+      background-color: #024c7d;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-success {
+      background-color: #008438;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-warning {
+      background-color: #ad8100;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-danger {
+      background-color: #9e1b0d;
+      color: #fff; }
+  html.theme--documenter-dark .progress {
+    -moz-appearance: none;
+    -webkit-appearance: none;
+    border: none;
+    border-radius: 290486px;
+    display: block;
+    height: 15px;
+    overflow: hidden;
+    padding: 0;
+    width: 100%; }
+    html.theme--documenter-dark .progress::-webkit-progress-bar {
+      background-color: #5e6d6f; }
+    html.theme--documenter-dark .progress::-webkit-progress-value {
+      background-color: #dbdee0; }
+    html.theme--documenter-dark .progress::-moz-progress-bar {
+      background-color: #dbdee0; }
+    html.theme--documenter-dark .progress::-ms-fill {
+      background-color: #dbdee0;
+      border: none; }
+    html.theme--documenter-dark .progress.is-white::-webkit-progress-value {
+      background-color: white; }
+    html.theme--documenter-dark .progress.is-white::-moz-progress-bar {
+      background-color: white; }
+    html.theme--documenter-dark .progress.is-white::-ms-fill {
+      background-color: white; }
+    html.theme--documenter-dark .progress.is-white:indeterminate {
+      background-image: linear-gradient(to right, white 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-black::-webkit-progress-value {
+      background-color: #0a0a0a; }
+    html.theme--documenter-dark .progress.is-black::-moz-progress-bar {
+      background-color: #0a0a0a; }
+    html.theme--documenter-dark .progress.is-black::-ms-fill {
+      background-color: #0a0a0a; }
+    html.theme--documenter-dark .progress.is-black:indeterminate {
+      background-image: linear-gradient(to right, #0a0a0a 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-light::-webkit-progress-value {
+      background-color: #ecf0f1; }
+    html.theme--documenter-dark .progress.is-light::-moz-progress-bar {
+      background-color: #ecf0f1; }
+    html.theme--documenter-dark .progress.is-light::-ms-fill {
+      background-color: #ecf0f1; }
+    html.theme--documenter-dark .progress.is-light:indeterminate {
+      background-image: linear-gradient(to right, #ecf0f1 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-dark::-webkit-progress-value, html.theme--documenter-dark .content kbd.progress::-webkit-progress-value {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .progress.is-dark::-moz-progress-bar, html.theme--documenter-dark .content kbd.progress::-moz-progress-bar {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .progress.is-dark::-ms-fill, html.theme--documenter-dark .content kbd.progress::-ms-fill {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .progress.is-dark:indeterminate, html.theme--documenter-dark .content kbd.progress:indeterminate {
+      background-image: linear-gradient(to right, #282f2f 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-primary::-webkit-progress-value, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-webkit-progress-value {
+      background-color: #375a7f; }
+    html.theme--documenter-dark .progress.is-primary::-moz-progress-bar, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-moz-progress-bar {
+      background-color: #375a7f; }
+    html.theme--documenter-dark .progress.is-primary::-ms-fill, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-ms-fill {
+      background-color: #375a7f; }
+    html.theme--documenter-dark .progress.is-primary:indeterminate, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink:indeterminate {
+      background-image: linear-gradient(to right, #375a7f 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-link::-webkit-progress-value {
+      background-color: #1abc9c; }
+    html.theme--documenter-dark .progress.is-link::-moz-progress-bar {
+      background-color: #1abc9c; }
+    html.theme--documenter-dark .progress.is-link::-ms-fill {
+      background-color: #1abc9c; }
+    html.theme--documenter-dark .progress.is-link:indeterminate {
+      background-image: linear-gradient(to right, #1abc9c 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-info::-webkit-progress-value {
+      background-color: #024c7d; }
+    html.theme--documenter-dark .progress.is-info::-moz-progress-bar {
+      background-color: #024c7d; }
+    html.theme--documenter-dark .progress.is-info::-ms-fill {
+      background-color: #024c7d; }
+    html.theme--documenter-dark .progress.is-info:indeterminate {
+      background-image: linear-gradient(to right, #024c7d 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-success::-webkit-progress-value {
+      background-color: #008438; }
+    html.theme--documenter-dark .progress.is-success::-moz-progress-bar {
+      background-color: #008438; }
+    html.theme--documenter-dark .progress.is-success::-ms-fill {
+      background-color: #008438; }
+    html.theme--documenter-dark .progress.is-success:indeterminate {
+      background-image: linear-gradient(to right, #008438 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-warning::-webkit-progress-value {
+      background-color: #ad8100; }
+    html.theme--documenter-dark .progress.is-warning::-moz-progress-bar {
+      background-color: #ad8100; }
+    html.theme--documenter-dark .progress.is-warning::-ms-fill {
+      background-color: #ad8100; }
+    html.theme--documenter-dark .progress.is-warning:indeterminate {
+      background-image: linear-gradient(to right, #ad8100 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-danger::-webkit-progress-value {
+      background-color: #9e1b0d; }
+    html.theme--documenter-dark .progress.is-danger::-moz-progress-bar {
+      background-color: #9e1b0d; }
+    html.theme--documenter-dark .progress.is-danger::-ms-fill {
+      background-color: #9e1b0d; }
+    html.theme--documenter-dark .progress.is-danger:indeterminate {
+      background-image: linear-gradient(to right, #9e1b0d 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress:indeterminate {
+      animation-duration: 1.5s;
+      animation-iteration-count: infinite;
+      animation-name: moveIndeterminate;
+      animation-timing-function: linear;
+      background-color: #5e6d6f;
+      background-image: linear-gradient(to right, #fff 30%, #5e6d6f 30%);
+      background-position: top left;
+      background-repeat: no-repeat;
+      background-size: 150% 150%; }
+      html.theme--documenter-dark .progress:indeterminate::-webkit-progress-bar {
+        background-color: transparent; }
+      html.theme--documenter-dark .progress:indeterminate::-moz-progress-bar {
+        background-color: transparent; }
+    html.theme--documenter-dark .progress.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.progress {
+      height: 0.85em; }
+    html.theme--documenter-dark .progress.is-medium {
+      height: 1.25rem; }
+    html.theme--documenter-dark .progress.is-large {
+      height: 1.5rem; }
+
+@keyframes moveIndeterminate {
+  from {
+    background-position: 200% 0; }
+  to {
+    background-position: -200% 0; } }
+  html.theme--documenter-dark .table {
+    background-color: #343c3d;
+    color: #fff; }
+    html.theme--documenter-dark .table td,
+    html.theme--documenter-dark .table th {
+      border: 1px solid #5e6d6f;
+      border-width: 0 0 1px;
+      padding: 0.5em 0.75em;
+      vertical-align: top; }
+      html.theme--documenter-dark .table td.is-white,
+      html.theme--documenter-dark .table th.is-white {
+        background-color: white;
+        border-color: white;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .table td.is-black,
+      html.theme--documenter-dark .table th.is-black {
+        background-color: #0a0a0a;
+        border-color: #0a0a0a;
+        color: white; }
+      html.theme--documenter-dark .table td.is-light,
+      html.theme--documenter-dark .table th.is-light {
+        background-color: #ecf0f1;
+        border-color: #ecf0f1;
+        color: #282f2f; }
+      html.theme--documenter-dark .table td.is-dark,
+      html.theme--documenter-dark .table th.is-dark {
+        background-color: #282f2f;
+        border-color: #282f2f;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .table td.is-primary,
+      html.theme--documenter-dark .table th.is-primary {
+        background-color: #375a7f;
+        border-color: #375a7f;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-link,
+      html.theme--documenter-dark .table th.is-link {
+        background-color: #1abc9c;
+        border-color: #1abc9c;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-info,
+      html.theme--documenter-dark .table th.is-info {
+        background-color: #024c7d;
+        border-color: #024c7d;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-success,
+      html.theme--documenter-dark .table th.is-success {
+        background-color: #008438;
+        border-color: #008438;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-warning,
+      html.theme--documenter-dark .table th.is-warning {
+        background-color: #ad8100;
+        border-color: #ad8100;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-danger,
+      html.theme--documenter-dark .table th.is-danger {
+        background-color: #9e1b0d;
+        border-color: #9e1b0d;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-narrow,
+      html.theme--documenter-dark .table th.is-narrow {
+        white-space: nowrap;
+        width: 1%; }
+      html.theme--documenter-dark .table td.is-selected,
+      html.theme--documenter-dark .table th.is-selected {
+        background-color: #375a7f;
+        color: #fff; }
+        html.theme--documenter-dark .table td.is-selected a,
+        html.theme--documenter-dark .table td.is-selected strong,
+        html.theme--documenter-dark .table th.is-selected a,
+        html.theme--documenter-dark .table th.is-selected strong {
+          color: currentColor; }
+    html.theme--documenter-dark .table th {
+      color: #f2f2f2; }
+      html.theme--documenter-dark .table th:not([align]) {
+        text-align: left; }
+    html.theme--documenter-dark .table tr.is-selected {
+      background-color: #375a7f;
+      color: #fff; }
+      html.theme--documenter-dark .table tr.is-selected a,
+      html.theme--documenter-dark .table tr.is-selected strong {
+        color: currentColor; }
+      html.theme--documenter-dark .table tr.is-selected td,
+      html.theme--documenter-dark .table tr.is-selected th {
+        border-color: #fff;
+        color: currentColor; }
+    html.theme--documenter-dark .table thead {
+      background-color: transparent; }
+      html.theme--documenter-dark .table thead td,
+      html.theme--documenter-dark .table thead th {
+        border-width: 0 0 2px;
+        color: #f2f2f2; }
+    html.theme--documenter-dark .table tfoot {
+      background-color: transparent; }
+      html.theme--documenter-dark .table tfoot td,
+      html.theme--documenter-dark .table tfoot th {
+        border-width: 2px 0 0;
+        color: #f2f2f2; }
+    html.theme--documenter-dark .table tbody {
+      background-color: transparent; }
+      html.theme--documenter-dark .table tbody tr:last-child td,
+      html.theme--documenter-dark .table tbody tr:last-child th {
+        border-bottom-width: 0; }
+    html.theme--documenter-dark .table.is-bordered td,
+    html.theme--documenter-dark .table.is-bordered th {
+      border-width: 1px; }
+    html.theme--documenter-dark .table.is-bordered tr:last-child td,
+    html.theme--documenter-dark .table.is-bordered tr:last-child th {
+      border-bottom-width: 1px; }
+    html.theme--documenter-dark .table.is-fullwidth {
+      width: 100%; }
+    html.theme--documenter-dark .table.is-hoverable tbody tr:not(.is-selected):hover {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover {
+      background-color: #282f2f; }
+      html.theme--documenter-dark .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover:nth-child(even) {
+        background-color: #2d3435; }
+    html.theme--documenter-dark .table.is-narrow td,
+    html.theme--documenter-dark .table.is-narrow th {
+      padding: 0.25em 0.5em; }
+    html.theme--documenter-dark .table.is-striped tbody tr:not(.is-selected):nth-child(even) {
+      background-color: #282f2f; }
+  html.theme--documenter-dark .table-container {
+    -webkit-overflow-scrolling: touch;
+    overflow: auto;
+    overflow-y: hidden;
+    max-width: 100%; }
+  html.theme--documenter-dark .tags {
+    align-items: center;
+    display: flex;
+    flex-wrap: wrap;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .tags .tag, html.theme--documenter-dark .tags .content kbd, html.theme--documenter-dark .content .tags kbd, html.theme--documenter-dark .tags .docstring > section > a.docs-sourcelink {
+      margin-bottom: 0.5rem; }
+      html.theme--documenter-dark .tags .tag:not(:last-child), html.theme--documenter-dark .tags .content kbd:not(:last-child), html.theme--documenter-dark .content .tags kbd:not(:last-child), html.theme--documenter-dark .tags .docstring > section > a.docs-sourcelink:not(:last-child) {
+        margin-right: 0.5rem; }
+    html.theme--documenter-dark .tags:last-child {
+      margin-bottom: -0.5rem; }
+    html.theme--documenter-dark .tags:not(:last-child) {
+      margin-bottom: 1rem; }
+    html.theme--documenter-dark .tags.are-medium .tag:not(.is-normal):not(.is-large), html.theme--documenter-dark .tags.are-medium .content kbd:not(.is-normal):not(.is-large), html.theme--documenter-dark .content .tags.are-medium kbd:not(.is-normal):not(.is-large), html.theme--documenter-dark .tags.are-medium .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-large) {
+      font-size: 15px; }
+    html.theme--documenter-dark .tags.are-large .tag:not(.is-normal):not(.is-medium), html.theme--documenter-dark .tags.are-large .content kbd:not(.is-normal):not(.is-medium), html.theme--documenter-dark .content .tags.are-large kbd:not(.is-normal):not(.is-medium), html.theme--documenter-dark .tags.are-large .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-medium) {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .tags.is-centered {
+      justify-content: center; }
+      html.theme--documenter-dark .tags.is-centered .tag, html.theme--documenter-dark .tags.is-centered .content kbd, html.theme--documenter-dark .content .tags.is-centered kbd, html.theme--documenter-dark .tags.is-centered .docstring > section > a.docs-sourcelink {
+        margin-right: 0.25rem;
+        margin-left: 0.25rem; }
+    html.theme--documenter-dark .tags.is-right {
+      justify-content: flex-end; }
+      html.theme--documenter-dark .tags.is-right .tag:not(:first-child), html.theme--documenter-dark .tags.is-right .content kbd:not(:first-child), html.theme--documenter-dark .content .tags.is-right kbd:not(:first-child), html.theme--documenter-dark .tags.is-right .docstring > section > a.docs-sourcelink:not(:first-child) {
+        margin-left: 0.5rem; }
+      html.theme--documenter-dark .tags.is-right .tag:not(:last-child), html.theme--documenter-dark .tags.is-right .content kbd:not(:last-child), html.theme--documenter-dark .content .tags.is-right kbd:not(:last-child), html.theme--documenter-dark .tags.is-right .docstring > section > a.docs-sourcelink:not(:last-child) {
+        margin-right: 0; }
+    html.theme--documenter-dark .tags.has-addons .tag, html.theme--documenter-dark .tags.has-addons .content kbd, html.theme--documenter-dark .content .tags.has-addons kbd, html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink {
+      margin-right: 0; }
+      html.theme--documenter-dark .tags.has-addons .tag:not(:first-child), html.theme--documenter-dark .tags.has-addons .content kbd:not(:first-child), html.theme--documenter-dark .content .tags.has-addons kbd:not(:first-child), html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink:not(:first-child) {
+        margin-left: 0;
+        border-bottom-left-radius: 0;
+        border-top-left-radius: 0; }
+      html.theme--documenter-dark .tags.has-addons .tag:not(:last-child), html.theme--documenter-dark .tags.has-addons .content kbd:not(:last-child), html.theme--documenter-dark .content .tags.has-addons kbd:not(:last-child), html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink:not(:last-child) {
+        border-bottom-right-radius: 0;
+        border-top-right-radius: 0; }
+  html.theme--documenter-dark .tag:not(body), html.theme--documenter-dark .content kbd:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) {
+    align-items: center;
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    color: #fff;
+    display: inline-flex;
+    font-size: 0.85em;
+    height: 2em;
+    justify-content: center;
+    line-height: 1.5;
+    padding-left: 0.75em;
+    padding-right: 0.75em;
+    white-space: nowrap; }
+    html.theme--documenter-dark .tag:not(body) .delete, html.theme--documenter-dark .content kbd:not(body) .delete, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .delete {
+      margin-left: 0.25rem;
+      margin-right: -0.375rem; }
+    html.theme--documenter-dark .tag.is-white:not(body), html.theme--documenter-dark .content kbd.is-white:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-white:not(body) {
+      background-color: white;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .tag.is-black:not(body), html.theme--documenter-dark .content kbd.is-black:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-black:not(body) {
+      background-color: #0a0a0a;
+      color: white; }
+    html.theme--documenter-dark .tag.is-light:not(body), html.theme--documenter-dark .content kbd.is-light:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-light:not(body) {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+    html.theme--documenter-dark .tag.is-dark:not(body), html.theme--documenter-dark .content kbd:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-dark:not(body), html.theme--documenter-dark .content .docstring > section > kbd:not(body) {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .tag.is-primary:not(body), html.theme--documenter-dark .content kbd.is-primary:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) {
+      background-color: #375a7f;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-link:not(body), html.theme--documenter-dark .content kbd.is-link:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-link:not(body) {
+      background-color: #1abc9c;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-info:not(body), html.theme--documenter-dark .content kbd.is-info:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-info:not(body) {
+      background-color: #024c7d;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-success:not(body), html.theme--documenter-dark .content kbd.is-success:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-success:not(body) {
+      background-color: #008438;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-warning:not(body), html.theme--documenter-dark .content kbd.is-warning:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-warning:not(body) {
+      background-color: #ad8100;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-danger:not(body), html.theme--documenter-dark .content kbd.is-danger:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-danger:not(body) {
+      background-color: #9e1b0d;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-normal:not(body), html.theme--documenter-dark .content kbd.is-normal:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-normal:not(body) {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .tag.is-medium:not(body), html.theme--documenter-dark .content kbd.is-medium:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-medium:not(body) {
+      font-size: 15px; }
+    html.theme--documenter-dark .tag.is-large:not(body), html.theme--documenter-dark .content kbd.is-large:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-large:not(body) {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .tag:not(body) .icon:first-child:not(:last-child), html.theme--documenter-dark .content kbd:not(body) .icon:first-child:not(:last-child), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:not(:last-child) {
+      margin-left: -0.375em;
+      margin-right: 0.1875em; }
+    html.theme--documenter-dark .tag:not(body) .icon:last-child:not(:first-child), html.theme--documenter-dark .content kbd:not(body) .icon:last-child:not(:first-child), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:last-child:not(:first-child) {
+      margin-left: 0.1875em;
+      margin-right: -0.375em; }
+    html.theme--documenter-dark .tag:not(body) .icon:first-child:last-child, html.theme--documenter-dark .content kbd:not(body) .icon:first-child:last-child, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:last-child {
+      margin-left: -0.375em;
+      margin-right: -0.375em; }
+    html.theme--documenter-dark .tag.is-delete:not(body), html.theme--documenter-dark .content kbd.is-delete:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body) {
+      margin-left: 1px;
+      padding: 0;
+      position: relative;
+      width: 2em; }
+      html.theme--documenter-dark .tag.is-delete:not(body)::before, html.theme--documenter-dark .content kbd.is-delete:not(body)::before, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::before, html.theme--documenter-dark .tag.is-delete:not(body)::after, html.theme--documenter-dark .content kbd.is-delete:not(body)::after, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+        background-color: currentColor;
+        content: "";
+        display: block;
+        left: 50%;
+        position: absolute;
+        top: 50%;
+        transform: translateX(-50%) translateY(-50%) rotate(45deg);
+        transform-origin: center center; }
+      html.theme--documenter-dark .tag.is-delete:not(body)::before, html.theme--documenter-dark .content kbd.is-delete:not(body)::before, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::before {
+        height: 1px;
+        width: 50%; }
+      html.theme--documenter-dark .tag.is-delete:not(body)::after, html.theme--documenter-dark .content kbd.is-delete:not(body)::after, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+        height: 50%;
+        width: 1px; }
+      html.theme--documenter-dark .tag.is-delete:not(body):hover, html.theme--documenter-dark .content kbd.is-delete:not(body):hover, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):hover, html.theme--documenter-dark .tag.is-delete:not(body):focus, html.theme--documenter-dark .content kbd.is-delete:not(body):focus, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):focus {
+        background-color: #1d2122; }
+      html.theme--documenter-dark .tag.is-delete:not(body):active, html.theme--documenter-dark .content kbd.is-delete:not(body):active, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):active {
+        background-color: #111414; }
+    html.theme--documenter-dark .tag.is-rounded:not(body), html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:not(body), html.theme--documenter-dark .content kbd.is-rounded:not(body), html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-rounded:not(body) {
+      border-radius: 290486px; }
+  html.theme--documenter-dark a.tag:hover, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:hover {
+    text-decoration: underline; }
+  html.theme--documenter-dark .title,
+  html.theme--documenter-dark .subtitle {
+    word-break: break-word; }
+    html.theme--documenter-dark .title em,
+    html.theme--documenter-dark .title span,
+    html.theme--documenter-dark .subtitle em,
+    html.theme--documenter-dark .subtitle span {
+      font-weight: inherit; }
+    html.theme--documenter-dark .title sub,
+    html.theme--documenter-dark .subtitle sub {
+      font-size: 0.75em; }
+    html.theme--documenter-dark .title sup,
+    html.theme--documenter-dark .subtitle sup {
+      font-size: 0.75em; }
+    html.theme--documenter-dark .title .tag, html.theme--documenter-dark .title .content kbd, html.theme--documenter-dark .content .title kbd, html.theme--documenter-dark .title .docstring > section > a.docs-sourcelink,
+    html.theme--documenter-dark .subtitle .tag,
+    html.theme--documenter-dark .subtitle .content kbd,
+    html.theme--documenter-dark .content .subtitle kbd,
+    html.theme--documenter-dark .subtitle .docstring > section > a.docs-sourcelink {
+      vertical-align: middle; }
+  html.theme--documenter-dark .title {
+    color: #fff;
+    font-size: 2rem;
+    font-weight: 500;
+    line-height: 1.125; }
+    html.theme--documenter-dark .title strong {
+      color: inherit;
+      font-weight: inherit; }
+    html.theme--documenter-dark .title + .highlight {
+      margin-top: -0.75rem; }
+    html.theme--documenter-dark .title:not(.is-spaced) + .subtitle {
+      margin-top: -1.25rem; }
+    html.theme--documenter-dark .title.is-1 {
+      font-size: 3rem; }
+    html.theme--documenter-dark .title.is-2 {
+      font-size: 2.5rem; }
+    html.theme--documenter-dark .title.is-3 {
+      font-size: 2rem; }
+    html.theme--documenter-dark .title.is-4 {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .title.is-5 {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .title.is-6 {
+      font-size: 15px; }
+    html.theme--documenter-dark .title.is-7 {
+      font-size: 0.85em; }
+  html.theme--documenter-dark .subtitle {
+    color: #8c9b9d;
+    font-size: 1.25rem;
+    font-weight: 400;
+    line-height: 1.25; }
+    html.theme--documenter-dark .subtitle strong {
+      color: #8c9b9d;
+      font-weight: 600; }
+    html.theme--documenter-dark .subtitle:not(.is-spaced) + .title {
+      margin-top: -1.25rem; }
+    html.theme--documenter-dark .subtitle.is-1 {
+      font-size: 3rem; }
+    html.theme--documenter-dark .subtitle.is-2 {
+      font-size: 2.5rem; }
+    html.theme--documenter-dark .subtitle.is-3 {
+      font-size: 2rem; }
+    html.theme--documenter-dark .subtitle.is-4 {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .subtitle.is-5 {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .subtitle.is-6 {
+      font-size: 15px; }
+    html.theme--documenter-dark .subtitle.is-7 {
+      font-size: 0.85em; }
+  html.theme--documenter-dark .heading {
+    display: block;
+    font-size: 11px;
+    letter-spacing: 1px;
+    margin-bottom: 5px;
+    text-transform: uppercase; }
+  html.theme--documenter-dark .highlight {
+    font-weight: 400;
+    max-width: 100%;
+    overflow: hidden;
+    padding: 0; }
+    html.theme--documenter-dark .highlight pre {
+      overflow: auto;
+      max-width: 100%; }
+  html.theme--documenter-dark .number {
+    align-items: center;
+    background-color: #282f2f;
+    border-radius: 290486px;
+    display: inline-flex;
+    font-size: 1.25rem;
+    height: 2em;
+    justify-content: center;
+    margin-right: 1.5rem;
+    min-width: 2.5em;
+    padding: 0.25rem 0.5rem;
+    text-align: center;
+    vertical-align: top; }
+  html.theme--documenter-dark .select select, html.theme--documenter-dark .textarea, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+    background-color: #1f2424;
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    color: #dbdee0; }
+    html.theme--documenter-dark .select select::-moz-placeholder, html.theme--documenter-dark .textarea::-moz-placeholder, html.theme--documenter-dark .input::-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-moz-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select::-webkit-input-placeholder, html.theme--documenter-dark .textarea::-webkit-input-placeholder, html.theme--documenter-dark .input::-webkit-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select:-moz-placeholder, html.theme--documenter-dark .textarea:-moz-placeholder, html.theme--documenter-dark .input:-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-moz-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select:-ms-input-placeholder, html.theme--documenter-dark .textarea:-ms-input-placeholder, html.theme--documenter-dark .input:-ms-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select:hover, html.theme--documenter-dark .textarea:hover, html.theme--documenter-dark .input:hover, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:hover, html.theme--documenter-dark .select select.is-hovered, html.theme--documenter-dark .is-hovered.textarea, html.theme--documenter-dark .is-hovered.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-hovered {
+      border-color: #8c9b9d; }
+    html.theme--documenter-dark .select select:focus, html.theme--documenter-dark .textarea:focus, html.theme--documenter-dark .input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:focus, html.theme--documenter-dark .select select.is-focused, html.theme--documenter-dark .is-focused.textarea, html.theme--documenter-dark .is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .select select:active, html.theme--documenter-dark .textarea:active, html.theme--documenter-dark .input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:active, html.theme--documenter-dark .select select.is-active, html.theme--documenter-dark .is-active.textarea, html.theme--documenter-dark .is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+      border-color: #1abc9c;
+      box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .select select[disabled], html.theme--documenter-dark .textarea[disabled], html.theme--documenter-dark .input[disabled], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled], fieldset[disabled] html.theme--documenter-dark .select select, fieldset[disabled] html.theme--documenter-dark .textarea, fieldset[disabled] html.theme--documenter-dark .input, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+      background-color: #8c9b9d;
+      border-color: #282f2f;
+      box-shadow: none;
+      color: white; }
+      html.theme--documenter-dark .select select[disabled]::-moz-placeholder, html.theme--documenter-dark .textarea[disabled]::-moz-placeholder, html.theme--documenter-dark .input[disabled]::-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .select select::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .input::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-moz-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+      html.theme--documenter-dark .select select[disabled]::-webkit-input-placeholder, html.theme--documenter-dark .textarea[disabled]::-webkit-input-placeholder, html.theme--documenter-dark .input[disabled]::-webkit-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .select select::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .input::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+      html.theme--documenter-dark .select select[disabled]:-moz-placeholder, html.theme--documenter-dark .textarea[disabled]:-moz-placeholder, html.theme--documenter-dark .input[disabled]:-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .select select:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .input:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-moz-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+      html.theme--documenter-dark .select select[disabled]:-ms-input-placeholder, html.theme--documenter-dark .textarea[disabled]:-ms-input-placeholder, html.theme--documenter-dark .input[disabled]:-ms-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .select select:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .input:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+  html.theme--documenter-dark .textarea, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+    box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.1);
+    max-width: 100%;
+    width: 100%; }
+    html.theme--documenter-dark .textarea[readonly], html.theme--documenter-dark .input[readonly], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[readonly] {
+      box-shadow: none; }
+    html.theme--documenter-dark .is-white.textarea, html.theme--documenter-dark .is-white.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white {
+      border-color: white; }
+      html.theme--documenter-dark .is-white.textarea:focus, html.theme--documenter-dark .is-white.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white:focus, html.theme--documenter-dark .is-white.is-focused.textarea, html.theme--documenter-dark .is-white.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-white.textarea:active, html.theme--documenter-dark .is-white.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white:active, html.theme--documenter-dark .is-white.is-active.textarea, html.theme--documenter-dark .is-white.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+    html.theme--documenter-dark .is-black.textarea, html.theme--documenter-dark .is-black.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black {
+      border-color: #0a0a0a; }
+      html.theme--documenter-dark .is-black.textarea:focus, html.theme--documenter-dark .is-black.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black:focus, html.theme--documenter-dark .is-black.is-focused.textarea, html.theme--documenter-dark .is-black.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-black.textarea:active, html.theme--documenter-dark .is-black.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black:active, html.theme--documenter-dark .is-black.is-active.textarea, html.theme--documenter-dark .is-black.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+    html.theme--documenter-dark .is-light.textarea, html.theme--documenter-dark .is-light.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light {
+      border-color: #ecf0f1; }
+      html.theme--documenter-dark .is-light.textarea:focus, html.theme--documenter-dark .is-light.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light:focus, html.theme--documenter-dark .is-light.is-focused.textarea, html.theme--documenter-dark .is-light.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-light.textarea:active, html.theme--documenter-dark .is-light.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light:active, html.theme--documenter-dark .is-light.is-active.textarea, html.theme--documenter-dark .is-light.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); }
+    html.theme--documenter-dark .is-dark.textarea, html.theme--documenter-dark .content kbd.textarea, html.theme--documenter-dark .is-dark.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark, html.theme--documenter-dark .content kbd.input {
+      border-color: #282f2f; }
+      html.theme--documenter-dark .is-dark.textarea:focus, html.theme--documenter-dark .content kbd.textarea:focus, html.theme--documenter-dark .is-dark.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark:focus, html.theme--documenter-dark .content kbd.input:focus, html.theme--documenter-dark .is-dark.is-focused.textarea, html.theme--documenter-dark .content kbd.is-focused.textarea, html.theme--documenter-dark .is-dark.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .content kbd.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input.is-focused, html.theme--documenter-dark .is-dark.textarea:active, html.theme--documenter-dark .content kbd.textarea:active, html.theme--documenter-dark .is-dark.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark:active, html.theme--documenter-dark .content kbd.input:active, html.theme--documenter-dark .is-dark.is-active.textarea, html.theme--documenter-dark .content kbd.is-active.textarea, html.theme--documenter-dark .is-dark.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .content kbd.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); }
+    html.theme--documenter-dark .is-primary.textarea, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink {
+      border-color: #375a7f; }
+      html.theme--documenter-dark .is-primary.textarea:focus, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink:focus, html.theme--documenter-dark .is-primary.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary:focus, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink:focus, html.theme--documenter-dark .is-primary.is-focused.textarea, html.theme--documenter-dark .docstring > section > a.is-focused.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .docstring > section > a.is-focused.input.docs-sourcelink, html.theme--documenter-dark .is-primary.textarea:active, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink:active, html.theme--documenter-dark .is-primary.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary:active, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink:active, html.theme--documenter-dark .is-primary.is-active.textarea, html.theme--documenter-dark .docstring > section > a.is-active.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .docstring > section > a.is-active.input.docs-sourcelink {
+        box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); }
+    html.theme--documenter-dark .is-link.textarea, html.theme--documenter-dark .is-link.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link {
+      border-color: #1abc9c; }
+      html.theme--documenter-dark .is-link.textarea:focus, html.theme--documenter-dark .is-link.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link:focus, html.theme--documenter-dark .is-link.is-focused.textarea, html.theme--documenter-dark .is-link.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-link.textarea:active, html.theme--documenter-dark .is-link.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link:active, html.theme--documenter-dark .is-link.is-active.textarea, html.theme--documenter-dark .is-link.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .is-info.textarea, html.theme--documenter-dark .is-info.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info {
+      border-color: #024c7d; }
+      html.theme--documenter-dark .is-info.textarea:focus, html.theme--documenter-dark .is-info.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info:focus, html.theme--documenter-dark .is-info.is-focused.textarea, html.theme--documenter-dark .is-info.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-info.textarea:active, html.theme--documenter-dark .is-info.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info:active, html.theme--documenter-dark .is-info.is-active.textarea, html.theme--documenter-dark .is-info.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); }
+    html.theme--documenter-dark .is-success.textarea, html.theme--documenter-dark .is-success.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success {
+      border-color: #008438; }
+      html.theme--documenter-dark .is-success.textarea:focus, html.theme--documenter-dark .is-success.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success:focus, html.theme--documenter-dark .is-success.is-focused.textarea, html.theme--documenter-dark .is-success.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-success.textarea:active, html.theme--documenter-dark .is-success.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success:active, html.theme--documenter-dark .is-success.is-active.textarea, html.theme--documenter-dark .is-success.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); }
+    html.theme--documenter-dark .is-warning.textarea, html.theme--documenter-dark .is-warning.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning {
+      border-color: #ad8100; }
+      html.theme--documenter-dark .is-warning.textarea:focus, html.theme--documenter-dark .is-warning.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning:focus, html.theme--documenter-dark .is-warning.is-focused.textarea, html.theme--documenter-dark .is-warning.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-warning.textarea:active, html.theme--documenter-dark .is-warning.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning:active, html.theme--documenter-dark .is-warning.is-active.textarea, html.theme--documenter-dark .is-warning.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); }
+    html.theme--documenter-dark .is-danger.textarea, html.theme--documenter-dark .is-danger.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger {
+      border-color: #9e1b0d; }
+      html.theme--documenter-dark .is-danger.textarea:focus, html.theme--documenter-dark .is-danger.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger:focus, html.theme--documenter-dark .is-danger.is-focused.textarea, html.theme--documenter-dark .is-danger.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-danger.textarea:active, html.theme--documenter-dark .is-danger.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger:active, html.theme--documenter-dark .is-danger.is-active.textarea, html.theme--documenter-dark .is-danger.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); }
+    html.theme--documenter-dark .is-small.textarea, html.theme--documenter-dark .is-small.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .is-medium.textarea, html.theme--documenter-dark .is-medium.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .is-large.textarea, html.theme--documenter-dark .is-large.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .is-fullwidth.textarea, html.theme--documenter-dark .is-fullwidth.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-fullwidth {
+      display: block;
+      width: 100%; }
+    html.theme--documenter-dark .is-inline.textarea, html.theme--documenter-dark .is-inline.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-inline {
+      display: inline;
+      width: auto; }
+  html.theme--documenter-dark .input.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+    border-radius: 290486px;
+    padding-left: 1em;
+    padding-right: 1em; }
+  html.theme--documenter-dark .input.is-static, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-static {
+    background-color: transparent;
+    border-color: transparent;
+    box-shadow: none;
+    padding-left: 0;
+    padding-right: 0; }
+  html.theme--documenter-dark .textarea {
+    display: block;
+    max-width: 100%;
+    min-width: 100%;
+    padding: 0.625em;
+    resize: vertical; }
+    html.theme--documenter-dark .textarea:not([rows]) {
+      max-height: 600px;
+      min-height: 120px; }
+    html.theme--documenter-dark .textarea[rows] {
+      height: initial; }
+    html.theme--documenter-dark .textarea.has-fixed-size {
+      resize: none; }
+  html.theme--documenter-dark .radio, html.theme--documenter-dark .checkbox {
+    cursor: pointer;
+    display: inline-block;
+    line-height: 1.25;
+    position: relative; }
+    html.theme--documenter-dark .radio input, html.theme--documenter-dark .checkbox input {
+      cursor: pointer; }
+    html.theme--documenter-dark .radio:hover, html.theme--documenter-dark .checkbox:hover {
+      color: #8c9b9d; }
+    html.theme--documenter-dark .radio[disabled], html.theme--documenter-dark .checkbox[disabled], fieldset[disabled] html.theme--documenter-dark .radio, fieldset[disabled] html.theme--documenter-dark .checkbox {
+      color: white;
+      cursor: not-allowed; }
+  html.theme--documenter-dark .radio + .radio {
+    margin-left: 0.5em; }
+  html.theme--documenter-dark .select {
+    display: inline-block;
+    max-width: 100%;
+    position: relative;
+    vertical-align: top; }
+    html.theme--documenter-dark .select:not(.is-multiple) {
+      height: 2.25em; }
+    html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after {
+      border-color: #1abc9c;
+      right: 1.125em;
+      z-index: 4; }
+    html.theme--documenter-dark .select.is-rounded select, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.select select {
+      border-radius: 290486px;
+      padding-left: 1em; }
+    html.theme--documenter-dark .select select {
+      cursor: pointer;
+      display: block;
+      font-size: 1em;
+      max-width: 100%;
+      outline: none; }
+      html.theme--documenter-dark .select select::-ms-expand {
+        display: none; }
+      html.theme--documenter-dark .select select[disabled]:hover, fieldset[disabled] html.theme--documenter-dark .select select:hover {
+        border-color: #282f2f; }
+      html.theme--documenter-dark .select select:not([multiple]) {
+        padding-right: 2.5em; }
+      html.theme--documenter-dark .select select[multiple] {
+        height: auto;
+        padding: 0; }
+        html.theme--documenter-dark .select select[multiple] option {
+          padding: 0.5em 1em; }
+    html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading):hover::after {
+      border-color: #8c9b9d; }
+    html.theme--documenter-dark .select.is-white:not(:hover)::after {
+      border-color: white; }
+    html.theme--documenter-dark .select.is-white select {
+      border-color: white; }
+      html.theme--documenter-dark .select.is-white select:hover, html.theme--documenter-dark .select.is-white select.is-hovered {
+        border-color: #f2f2f2; }
+      html.theme--documenter-dark .select.is-white select:focus, html.theme--documenter-dark .select.is-white select.is-focused, html.theme--documenter-dark .select.is-white select:active, html.theme--documenter-dark .select.is-white select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+    html.theme--documenter-dark .select.is-black:not(:hover)::after {
+      border-color: #0a0a0a; }
+    html.theme--documenter-dark .select.is-black select {
+      border-color: #0a0a0a; }
+      html.theme--documenter-dark .select.is-black select:hover, html.theme--documenter-dark .select.is-black select.is-hovered {
+        border-color: black; }
+      html.theme--documenter-dark .select.is-black select:focus, html.theme--documenter-dark .select.is-black select.is-focused, html.theme--documenter-dark .select.is-black select:active, html.theme--documenter-dark .select.is-black select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+    html.theme--documenter-dark .select.is-light:not(:hover)::after {
+      border-color: #ecf0f1; }
+    html.theme--documenter-dark .select.is-light select {
+      border-color: #ecf0f1; }
+      html.theme--documenter-dark .select.is-light select:hover, html.theme--documenter-dark .select.is-light select.is-hovered {
+        border-color: #dde4e6; }
+      html.theme--documenter-dark .select.is-light select:focus, html.theme--documenter-dark .select.is-light select.is-focused, html.theme--documenter-dark .select.is-light select:active, html.theme--documenter-dark .select.is-light select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); }
+    html.theme--documenter-dark .select.is-dark:not(:hover)::after, html.theme--documenter-dark .content kbd.select:not(:hover)::after {
+      border-color: #282f2f; }
+    html.theme--documenter-dark .select.is-dark select, html.theme--documenter-dark .content kbd.select select {
+      border-color: #282f2f; }
+      html.theme--documenter-dark .select.is-dark select:hover, html.theme--documenter-dark .content kbd.select select:hover, html.theme--documenter-dark .select.is-dark select.is-hovered, html.theme--documenter-dark .content kbd.select select.is-hovered {
+        border-color: #1d2122; }
+      html.theme--documenter-dark .select.is-dark select:focus, html.theme--documenter-dark .content kbd.select select:focus, html.theme--documenter-dark .select.is-dark select.is-focused, html.theme--documenter-dark .content kbd.select select.is-focused, html.theme--documenter-dark .select.is-dark select:active, html.theme--documenter-dark .content kbd.select select:active, html.theme--documenter-dark .select.is-dark select.is-active, html.theme--documenter-dark .content kbd.select select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); }
+    html.theme--documenter-dark .select.is-primary:not(:hover)::after, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink:not(:hover)::after {
+      border-color: #375a7f; }
+    html.theme--documenter-dark .select.is-primary select, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select {
+      border-color: #375a7f; }
+      html.theme--documenter-dark .select.is-primary select:hover, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:hover, html.theme--documenter-dark .select.is-primary select.is-hovered, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-hovered {
+        border-color: #2f4d6d; }
+      html.theme--documenter-dark .select.is-primary select:focus, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:focus, html.theme--documenter-dark .select.is-primary select.is-focused, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-focused, html.theme--documenter-dark .select.is-primary select:active, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:active, html.theme--documenter-dark .select.is-primary select.is-active, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); }
+    html.theme--documenter-dark .select.is-link:not(:hover)::after {
+      border-color: #1abc9c; }
+    html.theme--documenter-dark .select.is-link select {
+      border-color: #1abc9c; }
+      html.theme--documenter-dark .select.is-link select:hover, html.theme--documenter-dark .select.is-link select.is-hovered {
+        border-color: #17a689; }
+      html.theme--documenter-dark .select.is-link select:focus, html.theme--documenter-dark .select.is-link select.is-focused, html.theme--documenter-dark .select.is-link select:active, html.theme--documenter-dark .select.is-link select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .select.is-info:not(:hover)::after {
+      border-color: #024c7d; }
+    html.theme--documenter-dark .select.is-info select {
+      border-color: #024c7d; }
+      html.theme--documenter-dark .select.is-info select:hover, html.theme--documenter-dark .select.is-info select.is-hovered {
+        border-color: #023d64; }
+      html.theme--documenter-dark .select.is-info select:focus, html.theme--documenter-dark .select.is-info select.is-focused, html.theme--documenter-dark .select.is-info select:active, html.theme--documenter-dark .select.is-info select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); }
+    html.theme--documenter-dark .select.is-success:not(:hover)::after {
+      border-color: #008438; }
+    html.theme--documenter-dark .select.is-success select {
+      border-color: #008438; }
+      html.theme--documenter-dark .select.is-success select:hover, html.theme--documenter-dark .select.is-success select.is-hovered {
+        border-color: #006b2d; }
+      html.theme--documenter-dark .select.is-success select:focus, html.theme--documenter-dark .select.is-success select.is-focused, html.theme--documenter-dark .select.is-success select:active, html.theme--documenter-dark .select.is-success select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); }
+    html.theme--documenter-dark .select.is-warning:not(:hover)::after {
+      border-color: #ad8100; }
+    html.theme--documenter-dark .select.is-warning select {
+      border-color: #ad8100; }
+      html.theme--documenter-dark .select.is-warning select:hover, html.theme--documenter-dark .select.is-warning select.is-hovered {
+        border-color: #946e00; }
+      html.theme--documenter-dark .select.is-warning select:focus, html.theme--documenter-dark .select.is-warning select.is-focused, html.theme--documenter-dark .select.is-warning select:active, html.theme--documenter-dark .select.is-warning select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); }
+    html.theme--documenter-dark .select.is-danger:not(:hover)::after {
+      border-color: #9e1b0d; }
+    html.theme--documenter-dark .select.is-danger select {
+      border-color: #9e1b0d; }
+      html.theme--documenter-dark .select.is-danger select:hover, html.theme--documenter-dark .select.is-danger select.is-hovered {
+        border-color: #86170b; }
+      html.theme--documenter-dark .select.is-danger select:focus, html.theme--documenter-dark .select.is-danger select.is-focused, html.theme--documenter-dark .select.is-danger select:active, html.theme--documenter-dark .select.is-danger select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); }
+    html.theme--documenter-dark .select.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.select {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .select.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .select.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .select.is-disabled::after {
+      border-color: white; }
+    html.theme--documenter-dark .select.is-fullwidth {
+      width: 100%; }
+      html.theme--documenter-dark .select.is-fullwidth select {
+        width: 100%; }
+    html.theme--documenter-dark .select.is-loading::after {
+      margin-top: 0;
+      position: absolute;
+      right: 0.625em;
+      top: 0.625em;
+      transform: none; }
+    html.theme--documenter-dark .select.is-loading.is-small:after, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .select.is-loading.is-medium:after {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .select.is-loading.is-large:after {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .file {
+    align-items: stretch;
+    display: flex;
+    justify-content: flex-start;
+    position: relative; }
+    html.theme--documenter-dark .file.is-white .file-cta {
+      background-color: white;
+      border-color: transparent;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-white:hover .file-cta, html.theme--documenter-dark .file.is-white.is-hovered .file-cta {
+      background-color: #f9f9f9;
+      border-color: transparent;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-white:focus .file-cta, html.theme--documenter-dark .file.is-white.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(255, 255, 255, 0.25);
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-white:active .file-cta, html.theme--documenter-dark .file.is-white.is-active .file-cta {
+      background-color: #f2f2f2;
+      border-color: transparent;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-black .file-cta {
+      background-color: #0a0a0a;
+      border-color: transparent;
+      color: white; }
+    html.theme--documenter-dark .file.is-black:hover .file-cta, html.theme--documenter-dark .file.is-black.is-hovered .file-cta {
+      background-color: #040404;
+      border-color: transparent;
+      color: white; }
+    html.theme--documenter-dark .file.is-black:focus .file-cta, html.theme--documenter-dark .file.is-black.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(10, 10, 10, 0.25);
+      color: white; }
+    html.theme--documenter-dark .file.is-black:active .file-cta, html.theme--documenter-dark .file.is-black.is-active .file-cta {
+      background-color: black;
+      border-color: transparent;
+      color: white; }
+    html.theme--documenter-dark .file.is-light .file-cta {
+      background-color: #ecf0f1;
+      border-color: transparent;
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-light:hover .file-cta, html.theme--documenter-dark .file.is-light.is-hovered .file-cta {
+      background-color: #e5eaec;
+      border-color: transparent;
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-light:focus .file-cta, html.theme--documenter-dark .file.is-light.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(236, 240, 241, 0.25);
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-light:active .file-cta, html.theme--documenter-dark .file.is-light.is-active .file-cta {
+      background-color: #dde4e6;
+      border-color: transparent;
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-dark .file-cta, html.theme--documenter-dark .content kbd.file .file-cta {
+      background-color: #282f2f;
+      border-color: transparent;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-dark:hover .file-cta, html.theme--documenter-dark .content kbd.file:hover .file-cta, html.theme--documenter-dark .file.is-dark.is-hovered .file-cta, html.theme--documenter-dark .content kbd.file.is-hovered .file-cta {
+      background-color: #232829;
+      border-color: transparent;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-dark:focus .file-cta, html.theme--documenter-dark .content kbd.file:focus .file-cta, html.theme--documenter-dark .file.is-dark.is-focused .file-cta, html.theme--documenter-dark .content kbd.file.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(40, 47, 47, 0.25);
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-dark:active .file-cta, html.theme--documenter-dark .content kbd.file:active .file-cta, html.theme--documenter-dark .file.is-dark.is-active .file-cta, html.theme--documenter-dark .content kbd.file.is-active .file-cta {
+      background-color: #1d2122;
+      border-color: transparent;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-primary .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink .file-cta {
+      background-color: #375a7f;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-primary:hover .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:hover .file-cta, html.theme--documenter-dark .file.is-primary.is-hovered .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-hovered.docs-sourcelink .file-cta {
+      background-color: #335476;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-primary:focus .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:focus .file-cta, html.theme--documenter-dark .file.is-primary.is-focused .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-focused.docs-sourcelink .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(55, 90, 127, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-primary:active .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:active .file-cta, html.theme--documenter-dark .file.is-primary.is-active .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-active.docs-sourcelink .file-cta {
+      background-color: #2f4d6d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link .file-cta {
+      background-color: #1abc9c;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link:hover .file-cta, html.theme--documenter-dark .file.is-link.is-hovered .file-cta {
+      background-color: #18b193;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link:focus .file-cta, html.theme--documenter-dark .file.is-link.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(26, 188, 156, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link:active .file-cta, html.theme--documenter-dark .file.is-link.is-active .file-cta {
+      background-color: #17a689;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info .file-cta {
+      background-color: #024c7d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info:hover .file-cta, html.theme--documenter-dark .file.is-info.is-hovered .file-cta {
+      background-color: #024470;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info:focus .file-cta, html.theme--documenter-dark .file.is-info.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(2, 76, 125, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info:active .file-cta, html.theme--documenter-dark .file.is-info.is-active .file-cta {
+      background-color: #023d64;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success .file-cta {
+      background-color: #008438;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success:hover .file-cta, html.theme--documenter-dark .file.is-success.is-hovered .file-cta {
+      background-color: #007733;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success:focus .file-cta, html.theme--documenter-dark .file.is-success.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(0, 132, 56, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success:active .file-cta, html.theme--documenter-dark .file.is-success.is-active .file-cta {
+      background-color: #006b2d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning .file-cta {
+      background-color: #ad8100;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning:hover .file-cta, html.theme--documenter-dark .file.is-warning.is-hovered .file-cta {
+      background-color: #a07700;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning:focus .file-cta, html.theme--documenter-dark .file.is-warning.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(173, 129, 0, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning:active .file-cta, html.theme--documenter-dark .file.is-warning.is-active .file-cta {
+      background-color: #946e00;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger .file-cta {
+      background-color: #9e1b0d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger:hover .file-cta, html.theme--documenter-dark .file.is-danger.is-hovered .file-cta {
+      background-color: #92190c;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger:focus .file-cta, html.theme--documenter-dark .file.is-danger.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(158, 27, 13, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger:active .file-cta, html.theme--documenter-dark .file.is-danger.is-active .file-cta {
+      background-color: #86170b;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.file {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .file.is-medium {
+      font-size: 1.25rem; }
+      html.theme--documenter-dark .file.is-medium .file-icon .fa {
+        font-size: 21px; }
+    html.theme--documenter-dark .file.is-large {
+      font-size: 1.5rem; }
+      html.theme--documenter-dark .file.is-large .file-icon .fa {
+        font-size: 28px; }
+    html.theme--documenter-dark .file.has-name .file-cta {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0; }
+    html.theme--documenter-dark .file.has-name .file-name {
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    html.theme--documenter-dark .file.has-name.is-empty .file-cta {
+      border-radius: 0.4em; }
+    html.theme--documenter-dark .file.has-name.is-empty .file-name {
+      display: none; }
+    html.theme--documenter-dark .file.is-boxed .file-label {
+      flex-direction: column; }
+    html.theme--documenter-dark .file.is-boxed .file-cta {
+      flex-direction: column;
+      height: auto;
+      padding: 1em 3em; }
+    html.theme--documenter-dark .file.is-boxed .file-name {
+      border-width: 0 1px 1px; }
+    html.theme--documenter-dark .file.is-boxed .file-icon {
+      height: 1.5em;
+      width: 1.5em; }
+      html.theme--documenter-dark .file.is-boxed .file-icon .fa {
+        font-size: 21px; }
+    html.theme--documenter-dark .file.is-boxed.is-small .file-icon .fa, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-boxed .file-icon .fa {
+      font-size: 14px; }
+    html.theme--documenter-dark .file.is-boxed.is-medium .file-icon .fa {
+      font-size: 28px; }
+    html.theme--documenter-dark .file.is-boxed.is-large .file-icon .fa {
+      font-size: 35px; }
+    html.theme--documenter-dark .file.is-boxed.has-name .file-cta {
+      border-radius: 0.4em 0.4em 0 0; }
+    html.theme--documenter-dark .file.is-boxed.has-name .file-name {
+      border-radius: 0 0 0.4em 0.4em;
+      border-width: 0 1px 1px; }
+    html.theme--documenter-dark .file.is-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .file.is-fullwidth .file-label {
+      width: 100%; }
+    html.theme--documenter-dark .file.is-fullwidth .file-name {
+      flex-grow: 1;
+      max-width: none; }
+    html.theme--documenter-dark .file.is-right {
+      justify-content: flex-end; }
+      html.theme--documenter-dark .file.is-right .file-cta {
+        border-radius: 0 0.4em 0.4em 0; }
+      html.theme--documenter-dark .file.is-right .file-name {
+        border-radius: 0.4em 0 0 0.4em;
+        border-width: 1px 0 1px 1px;
+        order: -1; }
+  html.theme--documenter-dark .file-label {
+    align-items: stretch;
+    display: flex;
+    cursor: pointer;
+    justify-content: flex-start;
+    overflow: hidden;
+    position: relative; }
+    html.theme--documenter-dark .file-label:hover .file-cta {
+      background-color: #e5eaec;
+      color: #282f2f; }
+    html.theme--documenter-dark .file-label:hover .file-name {
+      border-color: #596668; }
+    html.theme--documenter-dark .file-label:active .file-cta {
+      background-color: #dde4e6;
+      color: #282f2f; }
+    html.theme--documenter-dark .file-label:active .file-name {
+      border-color: #535f61; }
+  html.theme--documenter-dark .file-input {
+    height: 100%;
+    left: 0;
+    opacity: 0;
+    outline: none;
+    position: absolute;
+    top: 0;
+    width: 100%; }
+  html.theme--documenter-dark .file-cta,
+  html.theme--documenter-dark .file-name {
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    font-size: 1em;
+    padding-left: 1em;
+    padding-right: 1em;
+    white-space: nowrap; }
+  html.theme--documenter-dark .file-cta {
+    background-color: #ecf0f1;
+    color: #343c3d; }
+  html.theme--documenter-dark .file-name {
+    border-color: #5e6d6f;
+    border-style: solid;
+    border-width: 1px 1px 1px 0;
+    display: block;
+    max-width: 16em;
+    overflow: hidden;
+    text-align: left;
+    text-overflow: ellipsis; }
+  html.theme--documenter-dark .file-icon {
+    align-items: center;
+    display: flex;
+    height: 1em;
+    justify-content: center;
+    margin-right: 0.5em;
+    width: 1em; }
+    html.theme--documenter-dark .file-icon .fa {
+      font-size: 14px; }
+  html.theme--documenter-dark .label {
+    color: #282f2f;
+    display: block;
+    font-size: 15px;
+    font-weight: 700; }
+    html.theme--documenter-dark .label:not(:last-child) {
+      margin-bottom: 0.5em; }
+    html.theme--documenter-dark .label.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.label {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .label.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .label.is-large {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .help {
+    display: block;
+    font-size: 0.85em;
+    margin-top: 0.25rem; }
+    html.theme--documenter-dark .help.is-white {
+      color: white; }
+    html.theme--documenter-dark .help.is-black {
+      color: #0a0a0a; }
+    html.theme--documenter-dark .help.is-light {
+      color: #ecf0f1; }
+    html.theme--documenter-dark .help.is-dark, html.theme--documenter-dark .content kbd.help {
+      color: #282f2f; }
+    html.theme--documenter-dark .help.is-primary, html.theme--documenter-dark .docstring > section > a.help.docs-sourcelink {
+      color: #375a7f; }
+    html.theme--documenter-dark .help.is-link {
+      color: #1abc9c; }
+    html.theme--documenter-dark .help.is-info {
+      color: #024c7d; }
+    html.theme--documenter-dark .help.is-success {
+      color: #008438; }
+    html.theme--documenter-dark .help.is-warning {
+      color: #ad8100; }
+    html.theme--documenter-dark .help.is-danger {
+      color: #9e1b0d; }
+  html.theme--documenter-dark .field:not(:last-child) {
+    margin-bottom: 0.75rem; }
+  html.theme--documenter-dark .field.has-addons {
+    display: flex;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .field.has-addons .control:not(:last-child) {
+      margin-right: -1px; }
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .button,
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .input,
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search > input,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search > input,
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .select select {
+      border-radius: 0; }
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .button,
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .input,
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search > input,
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .select select {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0; }
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .button,
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .input,
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search > input,
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .select select {
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):hover, html.theme--documenter-dark .field.has-addons .control .button.is-hovered:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):hover,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):hover,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):hover,
+    html.theme--documenter-dark .field.has-addons .control .input.is-hovered:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-hovered:not([disabled]),
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-hovered:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):hover,
+    html.theme--documenter-dark .field.has-addons .control .select select.is-hovered:not([disabled]) {
+      z-index: 2; }
+    html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):focus, html.theme--documenter-dark .field.has-addons .control .button.is-focused:not([disabled]), html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):active, html.theme--documenter-dark .field.has-addons .control .button.is-active:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):focus,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus,
+    html.theme--documenter-dark .field.has-addons .control .input.is-focused:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]),
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):active,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active,
+    html.theme--documenter-dark .field.has-addons .control .input.is-active:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]),
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):focus,
+    html.theme--documenter-dark .field.has-addons .control .select select.is-focused:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):active,
+    html.theme--documenter-dark .field.has-addons .control .select select.is-active:not([disabled]) {
+      z-index: 3; }
+      html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):focus:hover, html.theme--documenter-dark .field.has-addons .control .button.is-focused:not([disabled]):hover, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):active:hover, html.theme--documenter-dark .field.has-addons .control .button.is-active:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):focus:hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus:hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus:hover,
+      html.theme--documenter-dark .field.has-addons .control .input.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):active:hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active:hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active:hover,
+      html.theme--documenter-dark .field.has-addons .control .input.is-active:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]):hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):focus:hover,
+      html.theme--documenter-dark .field.has-addons .control .select select.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):active:hover,
+      html.theme--documenter-dark .field.has-addons .control .select select.is-active:not([disabled]):hover {
+        z-index: 4; }
+    html.theme--documenter-dark .field.has-addons .control.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .field.has-addons.has-addons-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .field.has-addons.has-addons-right {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .field.has-addons.has-addons-fullwidth .control {
+      flex-grow: 1;
+      flex-shrink: 0; }
+  html.theme--documenter-dark .field.is-grouped {
+    display: flex;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .field.is-grouped > .control {
+      flex-shrink: 0; }
+      html.theme--documenter-dark .field.is-grouped > .control:not(:last-child) {
+        margin-bottom: 0;
+        margin-right: 0.75rem; }
+      html.theme--documenter-dark .field.is-grouped > .control.is-expanded {
+        flex-grow: 1;
+        flex-shrink: 1; }
+    html.theme--documenter-dark .field.is-grouped.is-grouped-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .field.is-grouped.is-grouped-right {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .field.is-grouped.is-grouped-multiline {
+      flex-wrap: wrap; }
+      html.theme--documenter-dark .field.is-grouped.is-grouped-multiline > .control:last-child, html.theme--documenter-dark .field.is-grouped.is-grouped-multiline > .control:not(:last-child) {
+        margin-bottom: 0.75rem; }
+      html.theme--documenter-dark .field.is-grouped.is-grouped-multiline:last-child {
+        margin-bottom: -0.75rem; }
+      html.theme--documenter-dark .field.is-grouped.is-grouped-multiline:not(:last-child) {
+        margin-bottom: 0; }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .field.is-horizontal {
+      display: flex; } }
+  html.theme--documenter-dark .field-label .label {
+    font-size: inherit; }
+  @media screen and (max-width: 768px) {
+    html.theme--documenter-dark .field-label {
+      margin-bottom: 0.5rem; } }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .field-label {
+      flex-basis: 0;
+      flex-grow: 1;
+      flex-shrink: 0;
+      margin-right: 1.5rem;
+      text-align: right; }
+      html.theme--documenter-dark .field-label.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.field-label {
+        font-size: 0.85em;
+        padding-top: 0.375em; }
+      html.theme--documenter-dark .field-label.is-normal {
+        padding-top: 0.375em; }
+      html.theme--documenter-dark .field-label.is-medium {
+        font-size: 1.25rem;
+        padding-top: 0.375em; }
+      html.theme--documenter-dark .field-label.is-large {
+        font-size: 1.5rem;
+        padding-top: 0.375em; } }
+  html.theme--documenter-dark .field-body .field .field {
+    margin-bottom: 0; }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .field-body {
+      display: flex;
+      flex-basis: 0;
+      flex-grow: 5;
+      flex-shrink: 1; }
+      html.theme--documenter-dark .field-body .field {
+        margin-bottom: 0; }
+      html.theme--documenter-dark .field-body > .field {
+        flex-shrink: 1; }
+        html.theme--documenter-dark .field-body > .field:not(.is-narrow) {
+          flex-grow: 1; }
+        html.theme--documenter-dark .field-body > .field:not(:last-child) {
+          margin-right: 0.75rem; } }
+  html.theme--documenter-dark .control {
+    box-sizing: border-box;
+    clear: both;
+    font-size: 15px;
+    position: relative;
+    text-align: left; }
+    html.theme--documenter-dark .control.has-icons-left .input:focus ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input:focus ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select:focus ~ .icon, html.theme--documenter-dark .control.has-icons-right .input:focus ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input:focus ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select:focus ~ .icon {
+      color: #5e6d6f; }
+    html.theme--documenter-dark .control.has-icons-left .input.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select.is-small ~ .icon {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .control.has-icons-left .input.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-medium ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-medium ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select.is-medium ~ .icon {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .control.has-icons-left .input.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-large ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-large ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select.is-large ~ .icon {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .control.has-icons-left .icon, html.theme--documenter-dark .control.has-icons-right .icon {
+      color: #dbdee0;
+      height: 2.25em;
+      pointer-events: none;
+      position: absolute;
+      top: 0;
+      width: 2.25em;
+      z-index: 4; }
+    html.theme--documenter-dark .control.has-icons-left .input, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input,
+    html.theme--documenter-dark .control.has-icons-left .select select {
+      padding-left: 2.25em; }
+    html.theme--documenter-dark .control.has-icons-left .icon.is-left {
+      left: 0; }
+    html.theme--documenter-dark .control.has-icons-right .input, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input,
+    html.theme--documenter-dark .control.has-icons-right .select select {
+      padding-right: 2.25em; }
+    html.theme--documenter-dark .control.has-icons-right .icon.is-right {
+      right: 0; }
+    html.theme--documenter-dark .control.is-loading::after {
+      position: absolute !important;
+      right: 0.625em;
+      top: 0.625em;
+      z-index: 4; }
+    html.theme--documenter-dark .control.is-loading.is-small:after, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .control.is-loading.is-medium:after {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .control.is-loading.is-large:after {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .breadcrumb {
+    font-size: 15px;
+    white-space: nowrap; }
+    html.theme--documenter-dark .breadcrumb a {
+      align-items: center;
+      color: #1abc9c;
+      display: flex;
+      justify-content: center;
+      padding: 0 0.75em; }
+      html.theme--documenter-dark .breadcrumb a:hover {
+        color: #1dd2af; }
+    html.theme--documenter-dark .breadcrumb li {
+      align-items: center;
+      display: flex; }
+      html.theme--documenter-dark .breadcrumb li:first-child a {
+        padding-left: 0; }
+      html.theme--documenter-dark .breadcrumb li.is-active a {
+        color: #f2f2f2;
+        cursor: default;
+        pointer-events: none; }
+      html.theme--documenter-dark .breadcrumb li + li::before {
+        color: #8c9b9d;
+        content: "\0002f"; }
+    html.theme--documenter-dark .breadcrumb ul,
+    html.theme--documenter-dark .breadcrumb ol {
+      align-items: flex-start;
+      display: flex;
+      flex-wrap: wrap;
+      justify-content: flex-start; }
+    html.theme--documenter-dark .breadcrumb .icon:first-child {
+      margin-right: 0.5em; }
+    html.theme--documenter-dark .breadcrumb .icon:last-child {
+      margin-left: 0.5em; }
+    html.theme--documenter-dark .breadcrumb.is-centered ol,
+    html.theme--documenter-dark .breadcrumb.is-centered ul {
+      justify-content: center; }
+    html.theme--documenter-dark .breadcrumb.is-right ol,
+    html.theme--documenter-dark .breadcrumb.is-right ul {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .breadcrumb.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.breadcrumb {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .breadcrumb.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .breadcrumb.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .breadcrumb.has-arrow-separator li + li::before {
+      content: "\02192"; }
+    html.theme--documenter-dark .breadcrumb.has-bullet-separator li + li::before {
+      content: "\02022"; }
+    html.theme--documenter-dark .breadcrumb.has-dot-separator li + li::before {
+      content: "\000b7"; }
+    html.theme--documenter-dark .breadcrumb.has-succeeds-separator li + li::before {
+      content: "\0227B"; }
+  html.theme--documenter-dark .card {
+    background-color: white;
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+    color: #fff;
+    max-width: 100%;
+    position: relative; }
+  html.theme--documenter-dark .card-header {
+    background-color: transparent;
+    align-items: stretch;
+    box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+    display: flex; }
+  html.theme--documenter-dark .card-header-title {
+    align-items: center;
+    color: #f2f2f2;
+    display: flex;
+    flex-grow: 1;
+    font-weight: 700;
+    padding: 0.75rem; }
+    html.theme--documenter-dark .card-header-title.is-centered {
+      justify-content: center; }
+  html.theme--documenter-dark .card-header-icon {
+    align-items: center;
+    cursor: pointer;
+    display: flex;
+    justify-content: center;
+    padding: 0.75rem; }
+  html.theme--documenter-dark .card-image {
+    display: block;
+    position: relative; }
+  html.theme--documenter-dark .card-content {
+    background-color: transparent;
+    padding: 1.5rem; }
+  html.theme--documenter-dark .card-footer {
+    background-color: transparent;
+    border-top: 1px solid #5e6d6f;
+    align-items: stretch;
+    display: flex; }
+  html.theme--documenter-dark .card-footer-item {
+    align-items: center;
+    display: flex;
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 0;
+    justify-content: center;
+    padding: 0.75rem; }
+    html.theme--documenter-dark .card-footer-item:not(:last-child) {
+      border-right: 1px solid #5e6d6f; }
+  html.theme--documenter-dark .card .media:not(:last-child) {
+    margin-bottom: 1.5rem; }
+  html.theme--documenter-dark .dropdown {
+    display: inline-flex;
+    position: relative;
+    vertical-align: top; }
+    html.theme--documenter-dark .dropdown.is-active .dropdown-menu, html.theme--documenter-dark .dropdown.is-hoverable:hover .dropdown-menu {
+      display: block; }
+    html.theme--documenter-dark .dropdown.is-right .dropdown-menu {
+      left: auto;
+      right: 0; }
+    html.theme--documenter-dark .dropdown.is-up .dropdown-menu {
+      bottom: 100%;
+      padding-bottom: 4px;
+      padding-top: initial;
+      top: auto; }
+  html.theme--documenter-dark .dropdown-menu {
+    display: none;
+    left: 0;
+    min-width: 12rem;
+    padding-top: 4px;
+    position: absolute;
+    top: 100%;
+    z-index: 20; }
+  html.theme--documenter-dark .dropdown-content {
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+    padding-bottom: 0.5rem;
+    padding-top: 0.5rem; }
+  html.theme--documenter-dark .dropdown-item {
+    color: #fff;
+    display: block;
+    font-size: 0.875rem;
+    line-height: 1.5;
+    padding: 0.375rem 1rem;
+    position: relative; }
+  html.theme--documenter-dark a.dropdown-item,
+  html.theme--documenter-dark button.dropdown-item {
+    padding-right: 3rem;
+    text-align: left;
+    white-space: nowrap;
+    width: 100%; }
+    html.theme--documenter-dark a.dropdown-item:hover,
+    html.theme--documenter-dark button.dropdown-item:hover {
+      background-color: #282f2f;
+      color: #0a0a0a; }
+    html.theme--documenter-dark a.dropdown-item.is-active,
+    html.theme--documenter-dark button.dropdown-item.is-active {
+      background-color: #1abc9c;
+      color: #fff; }
+  html.theme--documenter-dark .dropdown-divider {
+    background-color: #5e6d6f;
+    border: none;
+    display: block;
+    height: 1px;
+    margin: 0.5rem 0; }
+  html.theme--documenter-dark .level {
+    align-items: center;
+    justify-content: space-between; }
+    html.theme--documenter-dark .level code {
+      border-radius: 0.4em; }
+    html.theme--documenter-dark .level img {
+      display: inline-block;
+      vertical-align: top; }
+    html.theme--documenter-dark .level.is-mobile {
+      display: flex; }
+      html.theme--documenter-dark .level.is-mobile .level-left,
+      html.theme--documenter-dark .level.is-mobile .level-right {
+        display: flex; }
+      html.theme--documenter-dark .level.is-mobile .level-left + .level-right {
+        margin-top: 0; }
+      html.theme--documenter-dark .level.is-mobile .level-item:not(:last-child) {
+        margin-bottom: 0;
+        margin-right: 0.75rem; }
+      html.theme--documenter-dark .level.is-mobile .level-item:not(.is-narrow) {
+        flex-grow: 1; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level {
+        display: flex; }
+        html.theme--documenter-dark .level > .level-item:not(.is-narrow) {
+          flex-grow: 1; } }
+  html.theme--documenter-dark .level-item {
+    align-items: center;
+    display: flex;
+    flex-basis: auto;
+    flex-grow: 0;
+    flex-shrink: 0;
+    justify-content: center; }
+    html.theme--documenter-dark .level-item .title,
+    html.theme--documenter-dark .level-item .subtitle {
+      margin-bottom: 0; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .level-item:not(:last-child) {
+        margin-bottom: 0.75rem; } }
+  html.theme--documenter-dark .level-left,
+  html.theme--documenter-dark .level-right {
+    flex-basis: auto;
+    flex-grow: 0;
+    flex-shrink: 0; }
+    html.theme--documenter-dark .level-left .level-item.is-flexible,
+    html.theme--documenter-dark .level-right .level-item.is-flexible {
+      flex-grow: 1; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level-left .level-item:not(:last-child),
+      html.theme--documenter-dark .level-right .level-item:not(:last-child) {
+        margin-right: 0.75rem; } }
+  html.theme--documenter-dark .level-left {
+    align-items: center;
+    justify-content: flex-start; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .level-left + .level-right {
+        margin-top: 1.5rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level-left {
+        display: flex; } }
+  html.theme--documenter-dark .level-right {
+    align-items: center;
+    justify-content: flex-end; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level-right {
+        display: flex; } }
+  html.theme--documenter-dark .list {
+    background-color: white;
+    border-radius: 0.4em;
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); }
+  html.theme--documenter-dark .list-item {
+    display: block;
+    padding: 0.5em 1em; }
+    html.theme--documenter-dark .list-item:not(a) {
+      color: #fff; }
+    html.theme--documenter-dark .list-item:first-child {
+      border-top-left-radius: 0.4em;
+      border-top-right-radius: 0.4em; }
+    html.theme--documenter-dark .list-item:last-child {
+      border-bottom-left-radius: 0.4em;
+      border-bottom-right-radius: 0.4em; }
+    html.theme--documenter-dark .list-item:not(:last-child) {
+      border-bottom: 1px solid #5e6d6f; }
+    html.theme--documenter-dark .list-item.is-active {
+      background-color: #1abc9c;
+      color: #fff; }
+  html.theme--documenter-dark a.list-item {
+    background-color: #282f2f;
+    cursor: pointer; }
+  html.theme--documenter-dark .media {
+    align-items: flex-start;
+    display: flex;
+    text-align: left; }
+    html.theme--documenter-dark .media .content:not(:last-child) {
+      margin-bottom: 0.75rem; }
+    html.theme--documenter-dark .media .media {
+      border-top: 1px solid rgba(94, 109, 111, 0.5);
+      display: flex;
+      padding-top: 0.75rem; }
+      html.theme--documenter-dark .media .media .content:not(:last-child),
+      html.theme--documenter-dark .media .media .control:not(:last-child) {
+        margin-bottom: 0.5rem; }
+      html.theme--documenter-dark .media .media .media {
+        padding-top: 0.5rem; }
+        html.theme--documenter-dark .media .media .media + .media {
+          margin-top: 0.5rem; }
+    html.theme--documenter-dark .media + .media {
+      border-top: 1px solid rgba(94, 109, 111, 0.5);
+      margin-top: 1rem;
+      padding-top: 1rem; }
+    html.theme--documenter-dark .media.is-large + .media {
+      margin-top: 1.5rem;
+      padding-top: 1.5rem; }
+  html.theme--documenter-dark .media-left,
+  html.theme--documenter-dark .media-right {
+    flex-basis: auto;
+    flex-grow: 0;
+    flex-shrink: 0; }
+  html.theme--documenter-dark .media-left {
+    margin-right: 1rem; }
+  html.theme--documenter-dark .media-right {
+    margin-left: 1rem; }
+  html.theme--documenter-dark .media-content {
+    flex-basis: auto;
+    flex-grow: 1;
+    flex-shrink: 1;
+    text-align: left; }
+  @media screen and (max-width: 768px) {
+    html.theme--documenter-dark .media-content {
+      overflow-x: auto; } }
+  html.theme--documenter-dark .menu {
+    font-size: 15px; }
+    html.theme--documenter-dark .menu.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.menu {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .menu.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .menu.is-large {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .menu-list {
+    line-height: 1.25; }
+    html.theme--documenter-dark .menu-list a {
+      border-radius: 3px;
+      color: #fff;
+      display: block;
+      padding: 0.5em 0.75em; }
+      html.theme--documenter-dark .menu-list a:hover {
+        background-color: #282f2f;
+        color: #f2f2f2; }
+      html.theme--documenter-dark .menu-list a.is-active {
+        background-color: #1abc9c;
+        color: #fff; }
+    html.theme--documenter-dark .menu-list li ul {
+      border-left: 1px solid #5e6d6f;
+      margin: 0.75em;
+      padding-left: 0.75em; }
+  html.theme--documenter-dark .menu-label {
+    color: white;
+    font-size: 0.75em;
+    letter-spacing: 0.1em;
+    text-transform: uppercase; }
+    html.theme--documenter-dark .menu-label:not(:first-child) {
+      margin-top: 1em; }
+    html.theme--documenter-dark .menu-label:not(:last-child) {
+      margin-bottom: 1em; }
+  html.theme--documenter-dark .message {
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    font-size: 15px; }
+    html.theme--documenter-dark .message strong {
+      color: currentColor; }
+    html.theme--documenter-dark .message a:not(.button):not(.tag):not(.dropdown-item) {
+      color: currentColor;
+      text-decoration: underline; }
+    html.theme--documenter-dark .message.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.message {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .message.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .message.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .message.is-white {
+      background-color: white; }
+      html.theme--documenter-dark .message.is-white .message-header {
+        background-color: white;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .message.is-white .message-body {
+        border-color: white;
+        color: #4d4d4d; }
+    html.theme--documenter-dark .message.is-black {
+      background-color: #fafafa; }
+      html.theme--documenter-dark .message.is-black .message-header {
+        background-color: #0a0a0a;
+        color: white; }
+      html.theme--documenter-dark .message.is-black .message-body {
+        border-color: #0a0a0a;
+        color: #090909; }
+    html.theme--documenter-dark .message.is-light {
+      background-color: #f9fafb; }
+      html.theme--documenter-dark .message.is-light .message-header {
+        background-color: #ecf0f1;
+        color: #282f2f; }
+      html.theme--documenter-dark .message.is-light .message-body {
+        border-color: #ecf0f1;
+        color: #505050; }
+    html.theme--documenter-dark .message.is-dark, html.theme--documenter-dark .content kbd.message {
+      background-color: #f9fafa; }
+      html.theme--documenter-dark .message.is-dark .message-header, html.theme--documenter-dark .content kbd.message .message-header {
+        background-color: #282f2f;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .message.is-dark .message-body, html.theme--documenter-dark .content kbd.message .message-body {
+        border-color: #282f2f;
+        color: #212526; }
+    html.theme--documenter-dark .message.is-primary, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink {
+      background-color: #f8fafc; }
+      html.theme--documenter-dark .message.is-primary .message-header, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink .message-header {
+        background-color: #375a7f;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-primary .message-body, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink .message-body {
+        border-color: #375a7f;
+        color: #2b4159; }
+    html.theme--documenter-dark .message.is-link {
+      background-color: #f6fefc; }
+      html.theme--documenter-dark .message.is-link .message-header {
+        background-color: #1abc9c;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-link .message-body {
+        border-color: #1abc9c;
+        color: #0b2f28; }
+    html.theme--documenter-dark .message.is-info {
+      background-color: #f5fbff; }
+      html.theme--documenter-dark .message.is-info .message-header {
+        background-color: #024c7d;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-info .message-body {
+        border-color: #024c7d;
+        color: #033659; }
+    html.theme--documenter-dark .message.is-success {
+      background-color: #f5fff9; }
+      html.theme--documenter-dark .message.is-success .message-header {
+        background-color: #008438;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-success .message-body {
+        border-color: #008438;
+        color: #023518; }
+    html.theme--documenter-dark .message.is-warning {
+      background-color: #fffcf5; }
+      html.theme--documenter-dark .message.is-warning .message-header {
+        background-color: #ad8100;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-warning .message-body {
+        border-color: #ad8100;
+        color: #3d2e03; }
+    html.theme--documenter-dark .message.is-danger {
+      background-color: #fef6f6; }
+      html.theme--documenter-dark .message.is-danger .message-header {
+        background-color: #9e1b0d;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-danger .message-body {
+        border-color: #9e1b0d;
+        color: #7a170c; }
+  html.theme--documenter-dark .message-header {
+    align-items: center;
+    background-color: #fff;
+    border-radius: 0.4em 0.4em 0 0;
+    color: rgba(0, 0, 0, 0.7);
+    display: flex;
+    font-weight: 700;
+    justify-content: space-between;
+    line-height: 1.25;
+    padding: 0.75em 1em;
+    position: relative; }
+    html.theme--documenter-dark .message-header .delete {
+      flex-grow: 0;
+      flex-shrink: 0;
+      margin-left: 0.75em; }
+    html.theme--documenter-dark .message-header + .message-body {
+      border-width: 0;
+      border-top-left-radius: 0;
+      border-top-right-radius: 0; }
+  html.theme--documenter-dark .message-body {
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    border-style: solid;
+    border-width: 0 0 0 4px;
+    color: #fff;
+    padding: 1.25em 1.5em; }
+    html.theme--documenter-dark .message-body code,
+    html.theme--documenter-dark .message-body pre {
+      background-color: white; }
+    html.theme--documenter-dark .message-body pre code {
+      background-color: transparent; }
+  html.theme--documenter-dark .modal {
+    align-items: center;
+    display: none;
+    flex-direction: column;
+    justify-content: center;
+    overflow: hidden;
+    position: fixed;
+    z-index: 40; }
+    html.theme--documenter-dark .modal.is-active {
+      display: flex; }
+  html.theme--documenter-dark .modal-background {
+    background-color: rgba(10, 10, 10, 0.86); }
+  html.theme--documenter-dark .modal-content,
+  html.theme--documenter-dark .modal-card {
+    margin: 0 20px;
+    max-height: calc(100vh - 160px);
+    overflow: auto;
+    position: relative;
+    width: 100%; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .modal-content,
+      html.theme--documenter-dark .modal-card {
+        margin: 0 auto;
+        max-height: calc(100vh - 40px);
+        width: 640px; } }
+  html.theme--documenter-dark .modal-close {
+    background: none;
+    height: 40px;
+    position: fixed;
+    right: 20px;
+    top: 20px;
+    width: 40px; }
+  html.theme--documenter-dark .modal-card {
+    display: flex;
+    flex-direction: column;
+    max-height: calc(100vh - 40px);
+    overflow: hidden;
+    -ms-overflow-y: visible; }
+  html.theme--documenter-dark .modal-card-head,
+  html.theme--documenter-dark .modal-card-foot {
+    align-items: center;
+    background-color: #282f2f;
+    display: flex;
+    flex-shrink: 0;
+    justify-content: flex-start;
+    padding: 20px;
+    position: relative; }
+  html.theme--documenter-dark .modal-card-head {
+    border-bottom: 1px solid #5e6d6f;
+    border-top-left-radius: 8px;
+    border-top-right-radius: 8px; }
+  html.theme--documenter-dark .modal-card-title {
+    color: #f2f2f2;
+    flex-grow: 1;
+    flex-shrink: 0;
+    font-size: 1.5rem;
+    line-height: 1; }
+  html.theme--documenter-dark .modal-card-foot {
+    border-bottom-left-radius: 8px;
+    border-bottom-right-radius: 8px;
+    border-top: 1px solid #5e6d6f; }
+    html.theme--documenter-dark .modal-card-foot .button:not(:last-child) {
+      margin-right: 0.5em; }
+  html.theme--documenter-dark .modal-card-body {
+    -webkit-overflow-scrolling: touch;
+    background-color: white;
+    flex-grow: 1;
+    flex-shrink: 1;
+    overflow: auto;
+    padding: 20px; }
+  html.theme--documenter-dark .navbar {
+    background-color: #375a7f;
+    min-height: 4rem;
+    position: relative;
+    z-index: 30; }
+    html.theme--documenter-dark .navbar.is-white {
+      background-color: white;
+      color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link {
+        color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link.is-active {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link::after {
+        border-color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-burger {
+        color: #0a0a0a; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-white .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link {
+          color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link.is-active {
+          background-color: #f2f2f2;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link::after {
+          border-color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #f2f2f2;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-dropdown a.navbar-item.is-active {
+          background-color: white;
+          color: #0a0a0a; } }
+    html.theme--documenter-dark .navbar.is-black {
+      background-color: #0a0a0a;
+      color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link {
+        color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link.is-active {
+        background-color: black;
+        color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link::after {
+        border-color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-burger {
+        color: white; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-black .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link {
+          color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link.is-active {
+          background-color: black;
+          color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link::after {
+          border-color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: black;
+          color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-dropdown a.navbar-item.is-active {
+          background-color: #0a0a0a;
+          color: white; } }
+    html.theme--documenter-dark .navbar.is-light {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link {
+        color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link.is-active {
+        background-color: #dde4e6;
+        color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link::after {
+        border-color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-burger {
+        color: #282f2f; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-light .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link {
+          color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link.is-active {
+          background-color: #dde4e6;
+          color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link::after {
+          border-color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #dde4e6;
+          color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-dropdown a.navbar-item.is-active {
+          background-color: #ecf0f1;
+          color: #282f2f; } }
+    html.theme--documenter-dark .navbar.is-dark, html.theme--documenter-dark .content kbd.navbar {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand > .navbar-item, html.theme--documenter-dark .content kbd.navbar .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link {
+        color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link.is-active,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link.is-active {
+        background-color: #1d2122;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link::after, html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link::after {
+        border-color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-burger, html.theme--documenter-dark .content kbd.navbar .navbar-burger {
+        color: #ecf0f1; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-dark .navbar-start > .navbar-item, html.theme--documenter-dark .content kbd.navbar .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > .navbar-item,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link {
+          color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link.is-active,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link.is-active {
+          background-color: #1d2122;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link::after, html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link::after,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link::after {
+          border-color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown.is-active .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #1d2122;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-dropdown a.navbar-item.is-active {
+          background-color: #282f2f;
+          color: #ecf0f1; } }
+    html.theme--documenter-dark .navbar.is-primary, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink {
+      background-color: #375a7f;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand > .navbar-item, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link.is-active,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link.is-active {
+        background-color: #2f4d6d;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link::after, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-burger, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-primary .navbar-start > .navbar-item, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > .navbar-item,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link.is-active,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link.is-active {
+          background-color: #2f4d6d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link::after, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link::after,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown.is-active .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #2f4d6d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active {
+          background-color: #375a7f;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-link {
+      background-color: #1abc9c;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link.is-active {
+        background-color: #17a689;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-link .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link.is-active {
+          background-color: #17a689;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #17a689;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-dropdown a.navbar-item.is-active {
+          background-color: #1abc9c;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-info {
+      background-color: #024c7d;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link.is-active {
+        background-color: #023d64;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-info .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link.is-active {
+          background-color: #023d64;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #023d64;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-dropdown a.navbar-item.is-active {
+          background-color: #024c7d;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-success {
+      background-color: #008438;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link.is-active {
+        background-color: #006b2d;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-success .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link.is-active {
+          background-color: #006b2d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #006b2d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-dropdown a.navbar-item.is-active {
+          background-color: #008438;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-warning {
+      background-color: #ad8100;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link.is-active {
+        background-color: #946e00;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-warning .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link.is-active {
+          background-color: #946e00;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #946e00;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-dropdown a.navbar-item.is-active {
+          background-color: #ad8100;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-danger {
+      background-color: #9e1b0d;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link.is-active {
+        background-color: #86170b;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-danger .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link.is-active {
+          background-color: #86170b;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #86170b;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-dropdown a.navbar-item.is-active {
+          background-color: #9e1b0d;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar > .container {
+      align-items: stretch;
+      display: flex;
+      min-height: 4rem;
+      width: 100%; }
+    html.theme--documenter-dark .navbar.has-shadow {
+      box-shadow: 0 2px 0 0 #282f2f; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom, html.theme--documenter-dark .navbar.is-fixed-top {
+      left: 0;
+      position: fixed;
+      right: 0;
+      z-index: 30; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom {
+      bottom: 0; }
+      html.theme--documenter-dark .navbar.is-fixed-bottom.has-shadow {
+        box-shadow: 0 -2px 0 0 #282f2f; }
+    html.theme--documenter-dark .navbar.is-fixed-top {
+      top: 0; }
+  html.theme--documenter-dark html.has-navbar-fixed-top,
+  html.theme--documenter-dark body.has-navbar-fixed-top {
+    padding-top: 4rem; }
+  html.theme--documenter-dark html.has-navbar-fixed-bottom,
+  html.theme--documenter-dark body.has-navbar-fixed-bottom {
+    padding-bottom: 4rem; }
+  html.theme--documenter-dark .navbar-brand,
+  html.theme--documenter-dark .navbar-tabs {
+    align-items: stretch;
+    display: flex;
+    flex-shrink: 0;
+    min-height: 4rem; }
+  html.theme--documenter-dark .navbar-brand a.navbar-item:focus, html.theme--documenter-dark .navbar-brand a.navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .navbar-tabs {
+    -webkit-overflow-scrolling: touch;
+    max-width: 100vw;
+    overflow-x: auto;
+    overflow-y: hidden; }
+  html.theme--documenter-dark .navbar-burger {
+    color: #fff;
+    cursor: pointer;
+    display: block;
+    height: 4rem;
+    position: relative;
+    width: 4rem;
+    margin-left: auto; }
+    html.theme--documenter-dark .navbar-burger span {
+      background-color: currentColor;
+      display: block;
+      height: 1px;
+      left: calc(50% - 8px);
+      position: absolute;
+      transform-origin: center;
+      transition-duration: 86ms;
+      transition-property: background-color, opacity, transform;
+      transition-timing-function: ease-out;
+      width: 16px; }
+      html.theme--documenter-dark .navbar-burger span:nth-child(1) {
+        top: calc(50% - 6px); }
+      html.theme--documenter-dark .navbar-burger span:nth-child(2) {
+        top: calc(50% - 1px); }
+      html.theme--documenter-dark .navbar-burger span:nth-child(3) {
+        top: calc(50% + 4px); }
+    html.theme--documenter-dark .navbar-burger:hover {
+      background-color: rgba(0, 0, 0, 0.05); }
+    html.theme--documenter-dark .navbar-burger.is-active span:nth-child(1) {
+      transform: translateY(5px) rotate(45deg); }
+    html.theme--documenter-dark .navbar-burger.is-active span:nth-child(2) {
+      opacity: 0; }
+    html.theme--documenter-dark .navbar-burger.is-active span:nth-child(3) {
+      transform: translateY(-5px) rotate(-45deg); }
+  html.theme--documenter-dark .navbar-menu {
+    display: none; }
+  html.theme--documenter-dark .navbar-item,
+  html.theme--documenter-dark .navbar-link {
+    color: #fff;
+    display: block;
+    line-height: 1.5;
+    padding: 0.5rem 0.75rem;
+    position: relative; }
+    html.theme--documenter-dark .navbar-item .icon:only-child,
+    html.theme--documenter-dark .navbar-link .icon:only-child {
+      margin-left: -0.25rem;
+      margin-right: -0.25rem; }
+  html.theme--documenter-dark a.navbar-item,
+  html.theme--documenter-dark .navbar-link {
+    cursor: pointer; }
+    html.theme--documenter-dark a.navbar-item:focus, html.theme--documenter-dark a.navbar-item:focus-within, html.theme--documenter-dark a.navbar-item:hover, html.theme--documenter-dark a.navbar-item.is-active,
+    html.theme--documenter-dark .navbar-link:focus,
+    html.theme--documenter-dark .navbar-link:focus-within,
+    html.theme--documenter-dark .navbar-link:hover,
+    html.theme--documenter-dark .navbar-link.is-active {
+      background-color: transparent;
+      color: #1abc9c; }
+  html.theme--documenter-dark .navbar-item {
+    display: block;
+    flex-grow: 0;
+    flex-shrink: 0; }
+    html.theme--documenter-dark .navbar-item img {
+      max-height: 1.75rem; }
+    html.theme--documenter-dark .navbar-item.has-dropdown {
+      padding: 0; }
+    html.theme--documenter-dark .navbar-item.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .navbar-item.is-tab {
+      border-bottom: 1px solid transparent;
+      min-height: 4rem;
+      padding-bottom: calc(0.5rem - 1px); }
+      html.theme--documenter-dark .navbar-item.is-tab:focus, html.theme--documenter-dark .navbar-item.is-tab:hover {
+        background-color: transparent;
+        border-bottom-color: #1abc9c; }
+      html.theme--documenter-dark .navbar-item.is-tab.is-active {
+        background-color: transparent;
+        border-bottom-color: #1abc9c;
+        border-bottom-style: solid;
+        border-bottom-width: 3px;
+        color: #1abc9c;
+        padding-bottom: calc(0.5rem - 3px); }
+  html.theme--documenter-dark .navbar-content {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  html.theme--documenter-dark .navbar-link:not(.is-arrowless) {
+    padding-right: 2.5em; }
+    html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after {
+      border-color: #fff;
+      margin-top: -0.375em;
+      right: 1.125em; }
+  html.theme--documenter-dark .navbar-dropdown {
+    font-size: 0.875rem;
+    padding-bottom: 0.5rem;
+    padding-top: 0.5rem; }
+    html.theme--documenter-dark .navbar-dropdown .navbar-item {
+      padding-left: 1.5rem;
+      padding-right: 1.5rem; }
+  html.theme--documenter-dark .navbar-divider {
+    background-color: rgba(0, 0, 0, 0.2);
+    border: none;
+    display: none;
+    height: 2px;
+    margin: 0.5rem 0; }
+  @media screen and (max-width: 1055px) {
+    html.theme--documenter-dark .navbar > .container {
+      display: block; }
+    html.theme--documenter-dark .navbar-brand .navbar-item,
+    html.theme--documenter-dark .navbar-tabs .navbar-item {
+      align-items: center;
+      display: flex; }
+    html.theme--documenter-dark .navbar-link::after {
+      display: none; }
+    html.theme--documenter-dark .navbar-menu {
+      background-color: #375a7f;
+      box-shadow: 0 8px 16px rgba(10, 10, 10, 0.1);
+      padding: 0.5rem 0; }
+      html.theme--documenter-dark .navbar-menu.is-active {
+        display: block; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-touch, html.theme--documenter-dark .navbar.is-fixed-top-touch {
+      left: 0;
+      position: fixed;
+      right: 0;
+      z-index: 30; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-touch {
+      bottom: 0; }
+      html.theme--documenter-dark .navbar.is-fixed-bottom-touch.has-shadow {
+        box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+    html.theme--documenter-dark .navbar.is-fixed-top-touch {
+      top: 0; }
+    html.theme--documenter-dark .navbar.is-fixed-top .navbar-menu, html.theme--documenter-dark .navbar.is-fixed-top-touch .navbar-menu {
+      -webkit-overflow-scrolling: touch;
+      max-height: calc(100vh - 4rem);
+      overflow: auto; }
+    html.theme--documenter-dark html.has-navbar-fixed-top-touch,
+    html.theme--documenter-dark body.has-navbar-fixed-top-touch {
+      padding-top: 4rem; }
+    html.theme--documenter-dark html.has-navbar-fixed-bottom-touch,
+    html.theme--documenter-dark body.has-navbar-fixed-bottom-touch {
+      padding-bottom: 4rem; } }
+  @media screen and (min-width: 1056px) {
+    html.theme--documenter-dark .navbar,
+    html.theme--documenter-dark .navbar-menu,
+    html.theme--documenter-dark .navbar-start,
+    html.theme--documenter-dark .navbar-end {
+      align-items: stretch;
+      display: flex; }
+    html.theme--documenter-dark .navbar {
+      min-height: 4rem; }
+      html.theme--documenter-dark .navbar.is-spaced {
+        padding: 1rem 2rem; }
+        html.theme--documenter-dark .navbar.is-spaced .navbar-start,
+        html.theme--documenter-dark .navbar.is-spaced .navbar-end {
+          align-items: center; }
+        html.theme--documenter-dark .navbar.is-spaced a.navbar-item,
+        html.theme--documenter-dark .navbar.is-spaced .navbar-link {
+          border-radius: 0.4em; }
+      html.theme--documenter-dark .navbar.is-transparent a.navbar-item:focus, html.theme--documenter-dark .navbar.is-transparent a.navbar-item:hover, html.theme--documenter-dark .navbar.is-transparent a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-transparent .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-transparent .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-transparent .navbar-link.is-active {
+        background-color: transparent !important; }
+      html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-active .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus-within .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:hover .navbar-link {
+        background-color: transparent !important; }
+      html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item:focus, html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item:hover {
+        background-color: transparent;
+        color: #dbdee0; }
+      html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item.is-active {
+        background-color: transparent;
+        color: #1abc9c; }
+    html.theme--documenter-dark .navbar-burger {
+      display: none; }
+    html.theme--documenter-dark .navbar-item,
+    html.theme--documenter-dark .navbar-link {
+      align-items: center;
+      display: flex; }
+    html.theme--documenter-dark .navbar-item {
+      display: flex; }
+      html.theme--documenter-dark .navbar-item.has-dropdown {
+        align-items: stretch; }
+      html.theme--documenter-dark .navbar-item.has-dropdown-up .navbar-link::after {
+        transform: rotate(135deg) translate(0.25em, -0.25em); }
+      html.theme--documenter-dark .navbar-item.has-dropdown-up .navbar-dropdown {
+        border-bottom: 1px solid rgba(0, 0, 0, 0.2);
+        border-radius: 8px 8px 0 0;
+        border-top: none;
+        bottom: 100%;
+        box-shadow: 0 -8px 8px rgba(10, 10, 10, 0.1);
+        top: auto; }
+      html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown {
+        display: block; }
+        .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed {
+          opacity: 1;
+          pointer-events: auto;
+          transform: translateY(0); }
+    html.theme--documenter-dark .navbar-menu {
+      flex-grow: 1;
+      flex-shrink: 0; }
+    html.theme--documenter-dark .navbar-start {
+      justify-content: flex-start;
+      margin-right: auto; }
+    html.theme--documenter-dark .navbar-end {
+      justify-content: flex-end;
+      margin-left: auto; }
+    html.theme--documenter-dark .navbar-dropdown {
+      background-color: #375a7f;
+      border-bottom-left-radius: 8px;
+      border-bottom-right-radius: 8px;
+      border-top: 1px solid rgba(0, 0, 0, 0.2);
+      box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1);
+      display: none;
+      font-size: 0.875rem;
+      left: 0;
+      min-width: 100%;
+      position: absolute;
+      top: 100%;
+      z-index: 20; }
+      html.theme--documenter-dark .navbar-dropdown .navbar-item {
+        padding: 0.375rem 1rem;
+        white-space: nowrap; }
+      html.theme--documenter-dark .navbar-dropdown a.navbar-item {
+        padding-right: 3rem; }
+        html.theme--documenter-dark .navbar-dropdown a.navbar-item:focus, html.theme--documenter-dark .navbar-dropdown a.navbar-item:hover {
+          background-color: transparent;
+          color: #dbdee0; }
+        html.theme--documenter-dark .navbar-dropdown a.navbar-item.is-active {
+          background-color: transparent;
+          color: #1abc9c; }
+      .navbar.is-spaced html.theme--documenter-dark .navbar-dropdown, html.theme--documenter-dark .navbar-dropdown.is-boxed {
+        border-radius: 8px;
+        border-top: none;
+        box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+        display: block;
+        opacity: 0;
+        pointer-events: none;
+        top: calc(100% + (-4px));
+        transform: translateY(-5px);
+        transition-duration: 86ms;
+        transition-property: opacity, transform; }
+      html.theme--documenter-dark .navbar-dropdown.is-right {
+        left: auto;
+        right: 0; }
+    html.theme--documenter-dark .navbar-divider {
+      display: block; }
+    html.theme--documenter-dark .navbar > .container .navbar-brand,
+    html.theme--documenter-dark .container > .navbar .navbar-brand {
+      margin-left: -.75rem; }
+    html.theme--documenter-dark .navbar > .container .navbar-menu,
+    html.theme--documenter-dark .container > .navbar .navbar-menu {
+      margin-right: -.75rem; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-desktop, html.theme--documenter-dark .navbar.is-fixed-top-desktop {
+      left: 0;
+      position: fixed;
+      right: 0;
+      z-index: 30; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-desktop {
+      bottom: 0; }
+      html.theme--documenter-dark .navbar.is-fixed-bottom-desktop.has-shadow {
+        box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+    html.theme--documenter-dark .navbar.is-fixed-top-desktop {
+      top: 0; }
+    html.theme--documenter-dark html.has-navbar-fixed-top-desktop,
+    html.theme--documenter-dark body.has-navbar-fixed-top-desktop {
+      padding-top: 4rem; }
+    html.theme--documenter-dark html.has-navbar-fixed-bottom-desktop,
+    html.theme--documenter-dark body.has-navbar-fixed-bottom-desktop {
+      padding-bottom: 4rem; }
+    html.theme--documenter-dark html.has-spaced-navbar-fixed-top,
+    html.theme--documenter-dark body.has-spaced-navbar-fixed-top {
+      padding-top: 6rem; }
+    html.theme--documenter-dark html.has-spaced-navbar-fixed-bottom,
+    html.theme--documenter-dark body.has-spaced-navbar-fixed-bottom {
+      padding-bottom: 6rem; }
+    html.theme--documenter-dark a.navbar-item.is-active,
+    html.theme--documenter-dark .navbar-link.is-active {
+      color: #1abc9c; }
+    html.theme--documenter-dark a.navbar-item.is-active:not(:focus):not(:hover),
+    html.theme--documenter-dark .navbar-link.is-active:not(:focus):not(:hover) {
+      background-color: transparent; }
+    html.theme--documenter-dark .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .navbar-item.has-dropdown:hover .navbar-link, html.theme--documenter-dark .navbar-item.has-dropdown.is-active .navbar-link {
+      background-color: transparent; } }
+  html.theme--documenter-dark .hero.is-fullheight-with-navbar {
+    min-height: calc(100vh - 4rem); }
+  html.theme--documenter-dark .pagination {
+    font-size: 15px;
+    margin: -0.25rem; }
+    html.theme--documenter-dark .pagination.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .pagination.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .pagination.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .pagination.is-rounded .pagination-previous, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-previous,
+    html.theme--documenter-dark .pagination.is-rounded .pagination-next,
+    html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-next {
+      padding-left: 1em;
+      padding-right: 1em;
+      border-radius: 290486px; }
+    html.theme--documenter-dark .pagination.is-rounded .pagination-link, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-link {
+      border-radius: 290486px; }
+  html.theme--documenter-dark .pagination,
+  html.theme--documenter-dark .pagination-list {
+    align-items: center;
+    display: flex;
+    justify-content: center;
+    text-align: center; }
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark .pagination-ellipsis {
+    font-size: 1em;
+    justify-content: center;
+    margin: 0.25rem;
+    padding-left: 0.5em;
+    padding-right: 0.5em;
+    text-align: center; }
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-link {
+    border-color: #5e6d6f;
+    color: #1abc9c;
+    min-width: 2.25em; }
+    html.theme--documenter-dark .pagination-previous:hover,
+    html.theme--documenter-dark .pagination-next:hover,
+    html.theme--documenter-dark .pagination-link:hover {
+      border-color: #8c9b9d;
+      color: #1dd2af; }
+    html.theme--documenter-dark .pagination-previous:focus,
+    html.theme--documenter-dark .pagination-next:focus,
+    html.theme--documenter-dark .pagination-link:focus {
+      border-color: #8c9b9d; }
+    html.theme--documenter-dark .pagination-previous:active,
+    html.theme--documenter-dark .pagination-next:active,
+    html.theme--documenter-dark .pagination-link:active {
+      box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2); }
+    html.theme--documenter-dark .pagination-previous[disabled],
+    html.theme--documenter-dark .pagination-next[disabled],
+    html.theme--documenter-dark .pagination-link[disabled] {
+      background-color: #dbdee0;
+      border-color: #dbdee0;
+      box-shadow: none;
+      color: #5e6d6f;
+      opacity: 0.5; }
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .pagination-next {
+    padding-left: 0.75em;
+    padding-right: 0.75em;
+    white-space: nowrap; }
+  html.theme--documenter-dark .pagination-link.is-current {
+    background-color: #1abc9c;
+    border-color: #1abc9c;
+    color: #fff; }
+  html.theme--documenter-dark .pagination-ellipsis {
+    color: #8c9b9d;
+    pointer-events: none; }
+  html.theme--documenter-dark .pagination-list {
+    flex-wrap: wrap; }
+  @media screen and (max-width: 768px) {
+    html.theme--documenter-dark .pagination {
+      flex-wrap: wrap; }
+    html.theme--documenter-dark .pagination-previous,
+    html.theme--documenter-dark .pagination-next {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .pagination-list li {
+      flex-grow: 1;
+      flex-shrink: 1; } }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .pagination-list {
+      flex-grow: 1;
+      flex-shrink: 1;
+      justify-content: flex-start;
+      order: 1; }
+    html.theme--documenter-dark .pagination-previous {
+      order: 2; }
+    html.theme--documenter-dark .pagination-next {
+      order: 3; }
+    html.theme--documenter-dark .pagination {
+      justify-content: space-between; }
+      html.theme--documenter-dark .pagination.is-centered .pagination-previous {
+        order: 1; }
+      html.theme--documenter-dark .pagination.is-centered .pagination-list {
+        justify-content: center;
+        order: 2; }
+      html.theme--documenter-dark .pagination.is-centered .pagination-next {
+        order: 3; }
+      html.theme--documenter-dark .pagination.is-right .pagination-previous {
+        order: 1; }
+      html.theme--documenter-dark .pagination.is-right .pagination-next {
+        order: 2; }
+      html.theme--documenter-dark .pagination.is-right .pagination-list {
+        justify-content: flex-end;
+        order: 3; } }
+  html.theme--documenter-dark .panel {
+    font-size: 15px; }
+    html.theme--documenter-dark .panel:not(:last-child) {
+      margin-bottom: 1.5rem; }
+  html.theme--documenter-dark .panel-heading,
+  html.theme--documenter-dark .panel-tabs,
+  html.theme--documenter-dark .panel-block {
+    border-bottom: 1px solid #5e6d6f;
+    border-left: 1px solid #5e6d6f;
+    border-right: 1px solid #5e6d6f; }
+    html.theme--documenter-dark .panel-heading:first-child,
+    html.theme--documenter-dark .panel-tabs:first-child,
+    html.theme--documenter-dark .panel-block:first-child {
+      border-top: 1px solid #5e6d6f; }
+  html.theme--documenter-dark .panel-heading {
+    background-color: #282f2f;
+    border-radius: 0.4em 0.4em 0 0;
+    color: #f2f2f2;
+    font-size: 1.25em;
+    font-weight: 300;
+    line-height: 1.25;
+    padding: 0.5em 0.75em; }
+  html.theme--documenter-dark .panel-tabs {
+    align-items: flex-end;
+    display: flex;
+    font-size: 0.875em;
+    justify-content: center; }
+    html.theme--documenter-dark .panel-tabs a {
+      border-bottom: 1px solid #5e6d6f;
+      margin-bottom: -1px;
+      padding: 0.5em; }
+      html.theme--documenter-dark .panel-tabs a.is-active {
+        border-bottom-color: #343c3d;
+        color: #17a689; }
+  html.theme--documenter-dark .panel-list a {
+    color: #fff; }
+    html.theme--documenter-dark .panel-list a:hover {
+      color: #1abc9c; }
+  html.theme--documenter-dark .panel-block {
+    align-items: center;
+    color: #f2f2f2;
+    display: flex;
+    justify-content: flex-start;
+    padding: 0.5em 0.75em; }
+    html.theme--documenter-dark .panel-block input[type="checkbox"] {
+      margin-right: 0.75em; }
+    html.theme--documenter-dark .panel-block > .control {
+      flex-grow: 1;
+      flex-shrink: 1;
+      width: 100%; }
+    html.theme--documenter-dark .panel-block.is-wrapped {
+      flex-wrap: wrap; }
+    html.theme--documenter-dark .panel-block.is-active {
+      border-left-color: #1abc9c;
+      color: #17a689; }
+      html.theme--documenter-dark .panel-block.is-active .panel-icon {
+        color: #1abc9c; }
+  html.theme--documenter-dark a.panel-block,
+  html.theme--documenter-dark label.panel-block {
+    cursor: pointer; }
+    html.theme--documenter-dark a.panel-block:hover,
+    html.theme--documenter-dark label.panel-block:hover {
+      background-color: #282f2f; }
+  html.theme--documenter-dark .panel-icon {
+    display: inline-block;
+    font-size: 14px;
+    height: 1em;
+    line-height: 1em;
+    text-align: center;
+    vertical-align: top;
+    width: 1em;
+    color: white;
+    margin-right: 0.75em; }
+    html.theme--documenter-dark .panel-icon .fa {
+      font-size: inherit;
+      line-height: inherit; }
+  html.theme--documenter-dark .tabs {
+    -webkit-overflow-scrolling: touch;
+    align-items: stretch;
+    display: flex;
+    font-size: 15px;
+    justify-content: space-between;
+    overflow: hidden;
+    overflow-x: auto;
+    white-space: nowrap; }
+    html.theme--documenter-dark .tabs a {
+      align-items: center;
+      border-bottom-color: #5e6d6f;
+      border-bottom-style: solid;
+      border-bottom-width: 1px;
+      color: #fff;
+      display: flex;
+      justify-content: center;
+      margin-bottom: -1px;
+      padding: 0.5em 1em;
+      vertical-align: top; }
+      html.theme--documenter-dark .tabs a:hover {
+        border-bottom-color: #f2f2f2;
+        color: #f2f2f2; }
+    html.theme--documenter-dark .tabs li {
+      display: block; }
+      html.theme--documenter-dark .tabs li.is-active a {
+        border-bottom-color: #1abc9c;
+        color: #1abc9c; }
+    html.theme--documenter-dark .tabs ul {
+      align-items: center;
+      border-bottom-color: #5e6d6f;
+      border-bottom-style: solid;
+      border-bottom-width: 1px;
+      display: flex;
+      flex-grow: 1;
+      flex-shrink: 0;
+      justify-content: flex-start; }
+      html.theme--documenter-dark .tabs ul.is-left {
+        padding-right: 0.75em; }
+      html.theme--documenter-dark .tabs ul.is-center {
+        flex: none;
+        justify-content: center;
+        padding-left: 0.75em;
+        padding-right: 0.75em; }
+      html.theme--documenter-dark .tabs ul.is-right {
+        justify-content: flex-end;
+        padding-left: 0.75em; }
+    html.theme--documenter-dark .tabs .icon:first-child {
+      margin-right: 0.5em; }
+    html.theme--documenter-dark .tabs .icon:last-child {
+      margin-left: 0.5em; }
+    html.theme--documenter-dark .tabs.is-centered ul {
+      justify-content: center; }
+    html.theme--documenter-dark .tabs.is-right ul {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .tabs.is-boxed a {
+      border: 1px solid transparent;
+      border-radius: 0.4em 0.4em 0 0; }
+      html.theme--documenter-dark .tabs.is-boxed a:hover {
+        background-color: #282f2f;
+        border-bottom-color: #5e6d6f; }
+    html.theme--documenter-dark .tabs.is-boxed li.is-active a {
+      background-color: white;
+      border-color: #5e6d6f;
+      border-bottom-color: transparent !important; }
+    html.theme--documenter-dark .tabs.is-fullwidth li {
+      flex-grow: 1;
+      flex-shrink: 0; }
+    html.theme--documenter-dark .tabs.is-toggle a {
+      border-color: #5e6d6f;
+      border-style: solid;
+      border-width: 1px;
+      margin-bottom: 0;
+      position: relative; }
+      html.theme--documenter-dark .tabs.is-toggle a:hover {
+        background-color: #282f2f;
+        border-color: #8c9b9d;
+        z-index: 2; }
+    html.theme--documenter-dark .tabs.is-toggle li + li {
+      margin-left: -1px; }
+    html.theme--documenter-dark .tabs.is-toggle li:first-child a {
+      border-radius: 0.4em 0 0 0.4em; }
+    html.theme--documenter-dark .tabs.is-toggle li:last-child a {
+      border-radius: 0 0.4em 0.4em 0; }
+    html.theme--documenter-dark .tabs.is-toggle li.is-active a {
+      background-color: #1abc9c;
+      border-color: #1abc9c;
+      color: #fff;
+      z-index: 1; }
+    html.theme--documenter-dark .tabs.is-toggle ul {
+      border-bottom: none; }
+    html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:first-child a {
+      border-bottom-left-radius: 290486px;
+      border-top-left-radius: 290486px;
+      padding-left: 1.25em; }
+    html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:last-child a {
+      border-bottom-right-radius: 290486px;
+      border-top-right-radius: 290486px;
+      padding-right: 1.25em; }
+    html.theme--documenter-dark .tabs.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.tabs {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .tabs.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .tabs.is-large {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .column {
+    display: block;
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 1;
+    padding: 0.75rem; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-narrow {
+      flex: none; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-full {
+      flex: none;
+      width: 100%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-three-quarters {
+      flex: none;
+      width: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-two-thirds {
+      flex: none;
+      width: 66.6666%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-half {
+      flex: none;
+      width: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-one-third {
+      flex: none;
+      width: 33.3333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-one-quarter {
+      flex: none;
+      width: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-one-fifth {
+      flex: none;
+      width: 20%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-two-fifths {
+      flex: none;
+      width: 40%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-three-fifths {
+      flex: none;
+      width: 60%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-four-fifths {
+      flex: none;
+      width: 80%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-three-quarters {
+      margin-left: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-two-thirds {
+      margin-left: 66.6666%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-half {
+      margin-left: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-third {
+      margin-left: 33.3333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-quarter {
+      margin-left: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-fifth {
+      margin-left: 20%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-two-fifths {
+      margin-left: 40%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-three-fifths {
+      margin-left: 60%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-four-fifths {
+      margin-left: 80%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-0 {
+      flex: none;
+      width: 0%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-0 {
+      margin-left: 0%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-1 {
+      flex: none;
+      width: 8.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-1 {
+      margin-left: 8.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-2 {
+      flex: none;
+      width: 16.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-2 {
+      margin-left: 16.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-3 {
+      flex: none;
+      width: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-3 {
+      margin-left: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-4 {
+      flex: none;
+      width: 33.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-4 {
+      margin-left: 33.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-5 {
+      flex: none;
+      width: 41.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-5 {
+      margin-left: 41.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-6 {
+      flex: none;
+      width: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-6 {
+      margin-left: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-7 {
+      flex: none;
+      width: 58.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-7 {
+      margin-left: 58.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-8 {
+      flex: none;
+      width: 66.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-8 {
+      margin-left: 66.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-9 {
+      flex: none;
+      width: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-9 {
+      margin-left: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-10 {
+      flex: none;
+      width: 83.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-10 {
+      margin-left: 83.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-11 {
+      flex: none;
+      width: 91.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-11 {
+      margin-left: 91.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-12 {
+      flex: none;
+      width: 100%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-12 {
+      margin-left: 100%; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .column.is-narrow-mobile {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-mobile {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-mobile {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-mobile {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-mobile {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-mobile {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-mobile {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-mobile {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-mobile {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-mobile {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-mobile {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-mobile {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-mobile {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-mobile {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-mobile {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-mobile {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-mobile {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-mobile {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-mobile {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-mobile {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-mobile {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-mobile {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-mobile {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-mobile {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-mobile {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-mobile {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-mobile {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-mobile {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-mobile {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-mobile {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-mobile {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-mobile {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-mobile {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-mobile {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-mobile {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-mobile {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-mobile {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-mobile {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-mobile {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-mobile {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-mobile {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-mobile {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-mobile {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-mobile {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-mobile {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-mobile {
+        margin-left: 100%; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .column.is-narrow, html.theme--documenter-dark .column.is-narrow-tablet {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full, html.theme--documenter-dark .column.is-full-tablet {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters, html.theme--documenter-dark .column.is-three-quarters-tablet {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds, html.theme--documenter-dark .column.is-two-thirds-tablet {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half, html.theme--documenter-dark .column.is-half-tablet {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third, html.theme--documenter-dark .column.is-one-third-tablet {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter, html.theme--documenter-dark .column.is-one-quarter-tablet {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth, html.theme--documenter-dark .column.is-one-fifth-tablet {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths, html.theme--documenter-dark .column.is-two-fifths-tablet {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths, html.theme--documenter-dark .column.is-three-fifths-tablet {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths, html.theme--documenter-dark .column.is-four-fifths-tablet {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters, html.theme--documenter-dark .column.is-offset-three-quarters-tablet {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds, html.theme--documenter-dark .column.is-offset-two-thirds-tablet {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half, html.theme--documenter-dark .column.is-offset-half-tablet {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third, html.theme--documenter-dark .column.is-offset-one-third-tablet {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter, html.theme--documenter-dark .column.is-offset-one-quarter-tablet {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth, html.theme--documenter-dark .column.is-offset-one-fifth-tablet {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths, html.theme--documenter-dark .column.is-offset-two-fifths-tablet {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths, html.theme--documenter-dark .column.is-offset-three-fifths-tablet {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths, html.theme--documenter-dark .column.is-offset-four-fifths-tablet {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0, html.theme--documenter-dark .column.is-0-tablet {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0, html.theme--documenter-dark .column.is-offset-0-tablet {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1, html.theme--documenter-dark .column.is-1-tablet {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1, html.theme--documenter-dark .column.is-offset-1-tablet {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2, html.theme--documenter-dark .column.is-2-tablet {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2, html.theme--documenter-dark .column.is-offset-2-tablet {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3, html.theme--documenter-dark .column.is-3-tablet {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3, html.theme--documenter-dark .column.is-offset-3-tablet {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4, html.theme--documenter-dark .column.is-4-tablet {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4, html.theme--documenter-dark .column.is-offset-4-tablet {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5, html.theme--documenter-dark .column.is-5-tablet {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5, html.theme--documenter-dark .column.is-offset-5-tablet {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6, html.theme--documenter-dark .column.is-6-tablet {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6, html.theme--documenter-dark .column.is-offset-6-tablet {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7, html.theme--documenter-dark .column.is-7-tablet {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7, html.theme--documenter-dark .column.is-offset-7-tablet {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8, html.theme--documenter-dark .column.is-8-tablet {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8, html.theme--documenter-dark .column.is-offset-8-tablet {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9, html.theme--documenter-dark .column.is-9-tablet {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9, html.theme--documenter-dark .column.is-offset-9-tablet {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10, html.theme--documenter-dark .column.is-10-tablet {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10, html.theme--documenter-dark .column.is-offset-10-tablet {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11, html.theme--documenter-dark .column.is-11-tablet {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11, html.theme--documenter-dark .column.is-offset-11-tablet {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12, html.theme--documenter-dark .column.is-12-tablet {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12, html.theme--documenter-dark .column.is-offset-12-tablet {
+        margin-left: 100%; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .column.is-narrow-touch {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-touch {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-touch {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-touch {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-touch {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-touch {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-touch {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-touch {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-touch {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-touch {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-touch {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-touch {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-touch {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-touch {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-touch {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-touch {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-touch {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-touch {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-touch {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-touch {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-touch {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-touch {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-touch {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-touch {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-touch {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-touch {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-touch {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-touch {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-touch {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-touch {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-touch {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-touch {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-touch {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-touch {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-touch {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-touch {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-touch {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-touch {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-touch {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-touch {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-touch {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-touch {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-touch {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-touch {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-touch {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-touch {
+        margin-left: 100%; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .column.is-narrow-desktop {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-desktop {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-desktop {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-desktop {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-desktop {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-desktop {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-desktop {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-desktop {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-desktop {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-desktop {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-desktop {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-desktop {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-desktop {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-desktop {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-desktop {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-desktop {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-desktop {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-desktop {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-desktop {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-desktop {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-desktop {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-desktop {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-desktop {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-desktop {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-desktop {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-desktop {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-desktop {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-desktop {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-desktop {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-desktop {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-desktop {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-desktop {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-desktop {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-desktop {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-desktop {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-desktop {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-desktop {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-desktop {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-desktop {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-desktop {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-desktop {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-desktop {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-desktop {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-desktop {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-desktop {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-desktop {
+        margin-left: 100%; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .column.is-narrow-widescreen {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-widescreen {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-widescreen {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-widescreen {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-widescreen {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-widescreen {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-widescreen {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-widescreen {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-widescreen {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-widescreen {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-widescreen {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-widescreen {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-widescreen {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-widescreen {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-widescreen {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-widescreen {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-widescreen {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-widescreen {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-widescreen {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-widescreen {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-widescreen {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-widescreen {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-widescreen {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-widescreen {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-widescreen {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-widescreen {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-widescreen {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-widescreen {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-widescreen {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-widescreen {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-widescreen {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-widescreen {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-widescreen {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-widescreen {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-widescreen {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-widescreen {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-widescreen {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-widescreen {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-widescreen {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-widescreen {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-widescreen {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-widescreen {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-widescreen {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-widescreen {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-widescreen {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-widescreen {
+        margin-left: 100%; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .column.is-narrow-fullhd {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-fullhd {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-fullhd {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-fullhd {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-fullhd {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-fullhd {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-fullhd {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-fullhd {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-fullhd {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-fullhd {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-fullhd {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-fullhd {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-fullhd {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-fullhd {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-fullhd {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-fullhd {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-fullhd {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-fullhd {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-fullhd {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-fullhd {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-fullhd {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-fullhd {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-fullhd {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-fullhd {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-fullhd {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-fullhd {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-fullhd {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-fullhd {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-fullhd {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-fullhd {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-fullhd {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-fullhd {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-fullhd {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-fullhd {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-fullhd {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-fullhd {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-fullhd {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-fullhd {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-fullhd {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-fullhd {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-fullhd {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-fullhd {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-fullhd {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-fullhd {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-fullhd {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-fullhd {
+        margin-left: 100%; } }
+  html.theme--documenter-dark .columns {
+    margin-left: -0.75rem;
+    margin-right: -0.75rem;
+    margin-top: -0.75rem; }
+    html.theme--documenter-dark .columns:last-child {
+      margin-bottom: -0.75rem; }
+    html.theme--documenter-dark .columns:not(:last-child) {
+      margin-bottom: calc(1.5rem - 0.75rem); }
+    html.theme--documenter-dark .columns.is-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .columns.is-gapless {
+      margin-left: 0;
+      margin-right: 0;
+      margin-top: 0; }
+      html.theme--documenter-dark .columns.is-gapless > .column {
+        margin: 0;
+        padding: 0 !important; }
+      html.theme--documenter-dark .columns.is-gapless:not(:last-child) {
+        margin-bottom: 1.5rem; }
+      html.theme--documenter-dark .columns.is-gapless:last-child {
+        margin-bottom: 0; }
+    html.theme--documenter-dark .columns.is-mobile {
+      display: flex; }
+    html.theme--documenter-dark .columns.is-multiline {
+      flex-wrap: wrap; }
+    html.theme--documenter-dark .columns.is-vcentered {
+      align-items: center; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns:not(.is-desktop) {
+        display: flex; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-desktop {
+        display: flex; } }
+  html.theme--documenter-dark .columns.is-variable {
+    --columnGap: 0.75rem;
+    margin-left: calc(-1 * var(--columnGap));
+    margin-right: calc(-1 * var(--columnGap)); }
+    html.theme--documenter-dark .columns.is-variable .column {
+      padding-left: var(--columnGap);
+      padding-right: var(--columnGap); }
+    html.theme--documenter-dark .columns.is-variable.is-0 {
+      --columnGap: 0rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-mobile {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-0-tablet {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-tablet-only {
+        --columnGap: 0rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-touch {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-desktop {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-desktop-only {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-widescreen {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-widescreen-only {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-fullhd {
+        --columnGap: 0rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-1 {
+      --columnGap: 0.25rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-mobile {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-1-tablet {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-tablet-only {
+        --columnGap: 0.25rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-touch {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-desktop {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-desktop-only {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-widescreen {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-widescreen-only {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-fullhd {
+        --columnGap: 0.25rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-2 {
+      --columnGap: 0.5rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-mobile {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-2-tablet {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-tablet-only {
+        --columnGap: 0.5rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-touch {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-desktop {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-desktop-only {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-widescreen {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-widescreen-only {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-fullhd {
+        --columnGap: 0.5rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-3 {
+      --columnGap: 0.75rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-mobile {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-3-tablet {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-tablet-only {
+        --columnGap: 0.75rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-touch {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-desktop {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-desktop-only {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-widescreen {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-widescreen-only {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-fullhd {
+        --columnGap: 0.75rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-4 {
+      --columnGap: 1rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-mobile {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-4-tablet {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-tablet-only {
+        --columnGap: 1rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-touch {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-desktop {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-desktop-only {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-widescreen {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-widescreen-only {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-fullhd {
+        --columnGap: 1rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-5 {
+      --columnGap: 1.25rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-mobile {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-5-tablet {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-tablet-only {
+        --columnGap: 1.25rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-touch {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-desktop {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-desktop-only {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-widescreen {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-widescreen-only {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-fullhd {
+        --columnGap: 1.25rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-6 {
+      --columnGap: 1.5rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-mobile {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-6-tablet {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-tablet-only {
+        --columnGap: 1.5rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-touch {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-desktop {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-desktop-only {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-widescreen {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-widescreen-only {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-fullhd {
+        --columnGap: 1.5rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-7 {
+      --columnGap: 1.75rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-mobile {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-7-tablet {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-tablet-only {
+        --columnGap: 1.75rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-touch {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-desktop {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-desktop-only {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-widescreen {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-widescreen-only {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-fullhd {
+        --columnGap: 1.75rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-8 {
+      --columnGap: 2rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-mobile {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-8-tablet {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-tablet-only {
+        --columnGap: 2rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-touch {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-desktop {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-desktop-only {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-widescreen {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-widescreen-only {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-fullhd {
+        --columnGap: 2rem; } }
+  html.theme--documenter-dark .tile {
+    align-items: stretch;
+    display: block;
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 1;
+    min-height: min-content; }
+    html.theme--documenter-dark .tile.is-ancestor {
+      margin-left: -0.75rem;
+      margin-right: -0.75rem;
+      margin-top: -0.75rem; }
+      html.theme--documenter-dark .tile.is-ancestor:last-child {
+        margin-bottom: -0.75rem; }
+      html.theme--documenter-dark .tile.is-ancestor:not(:last-child) {
+        margin-bottom: 0.75rem; }
+    html.theme--documenter-dark .tile.is-child {
+      margin: 0 !important; }
+    html.theme--documenter-dark .tile.is-parent {
+      padding: 0.75rem; }
+    html.theme--documenter-dark .tile.is-vertical {
+      flex-direction: column; }
+      html.theme--documenter-dark .tile.is-vertical > .tile.is-child:not(:last-child) {
+        margin-bottom: 1.5rem !important; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .tile:not(.is-child) {
+        display: flex; }
+      html.theme--documenter-dark .tile.is-1 {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .tile.is-2 {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .tile.is-3 {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .tile.is-4 {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .tile.is-5 {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .tile.is-6 {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .tile.is-7 {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .tile.is-8 {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .tile.is-9 {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .tile.is-10 {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .tile.is-11 {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .tile.is-12 {
+        flex: none;
+        width: 100%; } }
+  html.theme--documenter-dark .hero {
+    align-items: stretch;
+    display: flex;
+    flex-direction: column;
+    justify-content: space-between; }
+    html.theme--documenter-dark .hero .navbar {
+      background: none; }
+    html.theme--documenter-dark .hero .tabs ul {
+      border-bottom: none; }
+    html.theme--documenter-dark .hero.is-white {
+      background-color: white;
+      color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-white a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-white strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-white .title {
+        color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-white .subtitle {
+        color: rgba(10, 10, 10, 0.9); }
+        html.theme--documenter-dark .hero.is-white .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-white .subtitle strong {
+          color: #0a0a0a; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-white .navbar-menu {
+          background-color: white; } }
+      html.theme--documenter-dark .hero.is-white .navbar-item,
+      html.theme--documenter-dark .hero.is-white .navbar-link {
+        color: rgba(10, 10, 10, 0.7); }
+      html.theme--documenter-dark .hero.is-white a.navbar-item:hover, html.theme--documenter-dark .hero.is-white a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-white .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-white .navbar-link.is-active {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-white .tabs a {
+        color: #0a0a0a;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-white .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-white .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-white .tabs.is-boxed a, html.theme--documenter-dark .hero.is-white .tabs.is-toggle a {
+        color: #0a0a0a; }
+        html.theme--documenter-dark .hero.is-white .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-white .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-white .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-white .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-white .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-white .tabs.is-toggle li.is-active a:hover {
+        background-color: #0a0a0a;
+        border-color: #0a0a0a;
+        color: white; }
+      html.theme--documenter-dark .hero.is-white.is-bold {
+        background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-white.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); } }
+    html.theme--documenter-dark .hero.is-black {
+      background-color: #0a0a0a;
+      color: white; }
+      html.theme--documenter-dark .hero.is-black a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-black strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-black .title {
+        color: white; }
+      html.theme--documenter-dark .hero.is-black .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-black .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-black .subtitle strong {
+          color: white; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-black .navbar-menu {
+          background-color: #0a0a0a; } }
+      html.theme--documenter-dark .hero.is-black .navbar-item,
+      html.theme--documenter-dark .hero.is-black .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-black a.navbar-item:hover, html.theme--documenter-dark .hero.is-black a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-black .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-black .navbar-link.is-active {
+        background-color: black;
+        color: white; }
+      html.theme--documenter-dark .hero.is-black .tabs a {
+        color: white;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-black .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-black .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-black .tabs.is-boxed a, html.theme--documenter-dark .hero.is-black .tabs.is-toggle a {
+        color: white; }
+        html.theme--documenter-dark .hero.is-black .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-black .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-black .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-black .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-black .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-black .tabs.is-toggle li.is-active a:hover {
+        background-color: white;
+        border-color: white;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-black.is-bold {
+        background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-black.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } }
+    html.theme--documenter-dark .hero.is-light {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+      html.theme--documenter-dark .hero.is-light a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-light strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-light .title {
+        color: #282f2f; }
+      html.theme--documenter-dark .hero.is-light .subtitle {
+        color: rgba(40, 47, 47, 0.9); }
+        html.theme--documenter-dark .hero.is-light .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-light .subtitle strong {
+          color: #282f2f; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-light .navbar-menu {
+          background-color: #ecf0f1; } }
+      html.theme--documenter-dark .hero.is-light .navbar-item,
+      html.theme--documenter-dark .hero.is-light .navbar-link {
+        color: rgba(40, 47, 47, 0.7); }
+      html.theme--documenter-dark .hero.is-light a.navbar-item:hover, html.theme--documenter-dark .hero.is-light a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-light .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-light .navbar-link.is-active {
+        background-color: #dde4e6;
+        color: #282f2f; }
+      html.theme--documenter-dark .hero.is-light .tabs a {
+        color: #282f2f;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-light .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-light .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-light .tabs.is-boxed a, html.theme--documenter-dark .hero.is-light .tabs.is-toggle a {
+        color: #282f2f; }
+        html.theme--documenter-dark .hero.is-light .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-light .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-light .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-light .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-light .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-light .tabs.is-toggle li.is-active a:hover {
+        background-color: #282f2f;
+        border-color: #282f2f;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-light.is-bold {
+        background-image: linear-gradient(141deg, #cadfe0 0%, #ecf0f1 71%, #fafbfc 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-light.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #cadfe0 0%, #ecf0f1 71%, #fafbfc 100%); } }
+    html.theme--documenter-dark .hero.is-dark, html.theme--documenter-dark .content kbd.hero {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-dark a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), html.theme--documenter-dark .content kbd.hero a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-dark strong,
+      html.theme--documenter-dark .content kbd.hero strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-dark .title, html.theme--documenter-dark .content kbd.hero .title {
+        color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-dark .subtitle, html.theme--documenter-dark .content kbd.hero .subtitle {
+        color: rgba(236, 240, 241, 0.9); }
+        html.theme--documenter-dark .hero.is-dark .subtitle a:not(.button), html.theme--documenter-dark .content kbd.hero .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-dark .subtitle strong,
+        html.theme--documenter-dark .content kbd.hero .subtitle strong {
+          color: #ecf0f1; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-dark .navbar-menu, html.theme--documenter-dark .content kbd.hero .navbar-menu {
+          background-color: #282f2f; } }
+      html.theme--documenter-dark .hero.is-dark .navbar-item, html.theme--documenter-dark .content kbd.hero .navbar-item,
+      html.theme--documenter-dark .hero.is-dark .navbar-link,
+      html.theme--documenter-dark .content kbd.hero .navbar-link {
+        color: rgba(236, 240, 241, 0.7); }
+      html.theme--documenter-dark .hero.is-dark a.navbar-item:hover, html.theme--documenter-dark .content kbd.hero a.navbar-item:hover, html.theme--documenter-dark .hero.is-dark a.navbar-item.is-active, html.theme--documenter-dark .content kbd.hero a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-dark .navbar-link:hover,
+      html.theme--documenter-dark .content kbd.hero .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-dark .navbar-link.is-active,
+      html.theme--documenter-dark .content kbd.hero .navbar-link.is-active {
+        background-color: #1d2122;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-dark .tabs a, html.theme--documenter-dark .content kbd.hero .tabs a {
+        color: #ecf0f1;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-dark .tabs a:hover, html.theme--documenter-dark .content kbd.hero .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-dark .tabs li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-dark .tabs.is-boxed a, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed a, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle a, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle a {
+        color: #ecf0f1; }
+        html.theme--documenter-dark .hero.is-dark .tabs.is-boxed a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-dark .tabs.is-boxed li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-dark .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle li.is-active a:hover {
+        background-color: #ecf0f1;
+        border-color: #ecf0f1;
+        color: #282f2f; }
+      html.theme--documenter-dark .hero.is-dark.is-bold, html.theme--documenter-dark .content kbd.hero.is-bold {
+        background-image: linear-gradient(141deg, #0f1615 0%, #282f2f 71%, #313c40 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-dark.is-bold .navbar-menu, html.theme--documenter-dark .content kbd.hero.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #0f1615 0%, #282f2f 71%, #313c40 100%); } }
+    html.theme--documenter-dark .hero.is-primary, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink {
+      background-color: #375a7f;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-primary a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-primary strong,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-primary .title, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-primary .subtitle, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-primary .subtitle a:not(.button), html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-primary .subtitle strong,
+        html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-primary .navbar-menu, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-menu {
+          background-color: #375a7f; } }
+      html.theme--documenter-dark .hero.is-primary .navbar-item, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-item,
+      html.theme--documenter-dark .hero.is-primary .navbar-link,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-primary a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a.navbar-item:hover, html.theme--documenter-dark .hero.is-primary a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-primary .navbar-link:hover,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-primary .navbar-link.is-active,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link.is-active {
+        background-color: #2f4d6d;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-primary .tabs a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-primary .tabs a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-primary .tabs li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-primary .tabs.is-boxed a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-primary .tabs.is-boxed a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-primary .tabs.is-boxed li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-primary .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #375a7f; }
+      html.theme--documenter-dark .hero.is-primary.is-bold, html.theme--documenter-dark .docstring > section > a.hero.is-bold.docs-sourcelink {
+        background-image: linear-gradient(141deg, #214b62 0%, #375a7f 71%, #3a5796 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-primary.is-bold .navbar-menu, html.theme--documenter-dark .docstring > section > a.hero.is-bold.docs-sourcelink .navbar-menu {
+            background-image: linear-gradient(141deg, #214b62 0%, #375a7f 71%, #3a5796 100%); } }
+    html.theme--documenter-dark .hero.is-link {
+      background-color: #1abc9c;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-link a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-link strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-link .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-link .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-link .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-link .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-link .navbar-menu {
+          background-color: #1abc9c; } }
+      html.theme--documenter-dark .hero.is-link .navbar-item,
+      html.theme--documenter-dark .hero.is-link .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-link a.navbar-item:hover, html.theme--documenter-dark .hero.is-link a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-link .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-link .navbar-link.is-active {
+        background-color: #17a689;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-link .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-link .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-link .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-link .tabs.is-boxed a, html.theme--documenter-dark .hero.is-link .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-link .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-link .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-link .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-link .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-link .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-link .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #1abc9c; }
+      html.theme--documenter-dark .hero.is-link.is-bold {
+        background-image: linear-gradient(141deg, #0c9764 0%, #1abc9c 71%, #17d8d2 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-link.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #0c9764 0%, #1abc9c 71%, #17d8d2 100%); } }
+    html.theme--documenter-dark .hero.is-info {
+      background-color: #024c7d;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-info a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-info strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-info .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-info .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-info .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-info .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-info .navbar-menu {
+          background-color: #024c7d; } }
+      html.theme--documenter-dark .hero.is-info .navbar-item,
+      html.theme--documenter-dark .hero.is-info .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-info a.navbar-item:hover, html.theme--documenter-dark .hero.is-info a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-info .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-info .navbar-link.is-active {
+        background-color: #023d64;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-info .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-info .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-info .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-info .tabs.is-boxed a, html.theme--documenter-dark .hero.is-info .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-info .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-info .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-info .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-info .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-info .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-info .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #024c7d; }
+      html.theme--documenter-dark .hero.is-info.is-bold {
+        background-image: linear-gradient(141deg, #003a4c 0%, #024c7d 71%, #004299 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-info.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #003a4c 0%, #024c7d 71%, #004299 100%); } }
+    html.theme--documenter-dark .hero.is-success {
+      background-color: #008438;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-success a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-success strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-success .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-success .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-success .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-success .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-success .navbar-menu {
+          background-color: #008438; } }
+      html.theme--documenter-dark .hero.is-success .navbar-item,
+      html.theme--documenter-dark .hero.is-success .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-success a.navbar-item:hover, html.theme--documenter-dark .hero.is-success a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-success .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-success .navbar-link.is-active {
+        background-color: #006b2d;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-success .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-success .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-success .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-success .tabs.is-boxed a, html.theme--documenter-dark .hero.is-success .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-success .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-success .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-success .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-success .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-success .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-success .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #008438; }
+      html.theme--documenter-dark .hero.is-success.is-bold {
+        background-image: linear-gradient(141deg, #005115 0%, #008438 71%, #009e5d 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-success.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #005115 0%, #008438 71%, #009e5d 100%); } }
+    html.theme--documenter-dark .hero.is-warning {
+      background-color: #ad8100;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-warning a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-warning strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-warning .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-warning .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-warning .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-warning .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-warning .navbar-menu {
+          background-color: #ad8100; } }
+      html.theme--documenter-dark .hero.is-warning .navbar-item,
+      html.theme--documenter-dark .hero.is-warning .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-warning a.navbar-item:hover, html.theme--documenter-dark .hero.is-warning a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-warning .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-warning .navbar-link.is-active {
+        background-color: #946e00;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-warning .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-warning .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-warning .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-warning .tabs.is-boxed a, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-warning .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-warning .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-warning .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #ad8100; }
+      html.theme--documenter-dark .hero.is-warning.is-bold {
+        background-image: linear-gradient(141deg, #7a4700 0%, #ad8100 71%, #c7b500 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-warning.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #7a4700 0%, #ad8100 71%, #c7b500 100%); } }
+    html.theme--documenter-dark .hero.is-danger {
+      background-color: #9e1b0d;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-danger a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-danger strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-danger .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-danger .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-danger .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-danger .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-danger .navbar-menu {
+          background-color: #9e1b0d; } }
+      html.theme--documenter-dark .hero.is-danger .navbar-item,
+      html.theme--documenter-dark .hero.is-danger .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-danger a.navbar-item:hover, html.theme--documenter-dark .hero.is-danger a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-danger .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-danger .navbar-link.is-active {
+        background-color: #86170b;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-danger .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-danger .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-danger .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-danger .tabs.is-boxed a, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-danger .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-danger .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-danger .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #9e1b0d; }
+      html.theme--documenter-dark .hero.is-danger.is-bold {
+        background-image: linear-gradient(141deg, #75030b 0%, #9e1b0d 71%, #ba380a 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-danger.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #75030b 0%, #9e1b0d 71%, #ba380a 100%); } }
+    html.theme--documenter-dark .hero.is-small .hero-body, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.hero .hero-body {
+      padding-bottom: 1.5rem;
+      padding-top: 1.5rem; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .hero.is-medium .hero-body {
+        padding-bottom: 9rem;
+        padding-top: 9rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .hero.is-large .hero-body {
+        padding-bottom: 18rem;
+        padding-top: 18rem; } }
+    html.theme--documenter-dark .hero.is-halfheight .hero-body, html.theme--documenter-dark .hero.is-fullheight .hero-body, html.theme--documenter-dark .hero.is-fullheight-with-navbar .hero-body {
+      align-items: center;
+      display: flex; }
+      html.theme--documenter-dark .hero.is-halfheight .hero-body > .container, html.theme--documenter-dark .hero.is-fullheight .hero-body > .container, html.theme--documenter-dark .hero.is-fullheight-with-navbar .hero-body > .container {
+        flex-grow: 1;
+        flex-shrink: 1; }
+    html.theme--documenter-dark .hero.is-halfheight {
+      min-height: 50vh; }
+    html.theme--documenter-dark .hero.is-fullheight {
+      min-height: 100vh; }
+  html.theme--documenter-dark .hero-video {
+    overflow: hidden; }
+    html.theme--documenter-dark .hero-video video {
+      left: 50%;
+      min-height: 100%;
+      min-width: 100%;
+      position: absolute;
+      top: 50%;
+      transform: translate3d(-50%, -50%, 0); }
+    html.theme--documenter-dark .hero-video.is-transparent {
+      opacity: 0.3; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .hero-video {
+        display: none; } }
+  html.theme--documenter-dark .hero-buttons {
+    margin-top: 1.5rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .hero-buttons .button {
+        display: flex; }
+        html.theme--documenter-dark .hero-buttons .button:not(:last-child) {
+          margin-bottom: 0.75rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .hero-buttons {
+        display: flex;
+        justify-content: center; }
+        html.theme--documenter-dark .hero-buttons .button:not(:last-child) {
+          margin-right: 1.5rem; } }
+  html.theme--documenter-dark .hero-head,
+  html.theme--documenter-dark .hero-foot {
+    flex-grow: 0;
+    flex-shrink: 0; }
+  html.theme--documenter-dark .hero-body {
+    flex-grow: 1;
+    flex-shrink: 0;
+    padding: 3rem 1.5rem; }
+  html.theme--documenter-dark .section {
+    padding: 3rem 1.5rem; }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .section.is-medium {
+        padding: 9rem 1.5rem; }
+      html.theme--documenter-dark .section.is-large {
+        padding: 18rem 1.5rem; } }
+  html.theme--documenter-dark .footer {
+    background-color: #282f2f;
+    padding: 3rem 1.5rem 6rem; }
+  html.theme--documenter-dark hr {
+    height: 1px; }
+  html.theme--documenter-dark h6 {
+    text-transform: uppercase;
+    letter-spacing: 0.5px; }
+  html.theme--documenter-dark .hero {
+    background-color: #343c3d; }
+  html.theme--documenter-dark a {
+    transition: all 200ms ease; }
+  html.theme--documenter-dark .button {
+    transition: all 200ms ease;
+    border-width: 1px;
+    color: white; }
+    html.theme--documenter-dark .button.is-active, html.theme--documenter-dark .button.is-focused, html.theme--documenter-dark .button:active, html.theme--documenter-dark .button:focus {
+      box-shadow: 0 0 0 2px rgba(140, 155, 157, 0.5); }
+    html.theme--documenter-dark .button.is-white.is-hovered, html.theme--documenter-dark .button.is-white:hover {
+      background-color: white; }
+    html.theme--documenter-dark .button.is-white.is-active, html.theme--documenter-dark .button.is-white.is-focused, html.theme--documenter-dark .button.is-white:active, html.theme--documenter-dark .button.is-white:focus {
+      border-color: white;
+      box-shadow: 0 0 0 2px rgba(255, 255, 255, 0.5); }
+    html.theme--documenter-dark .button.is-black.is-hovered, html.theme--documenter-dark .button.is-black:hover {
+      background-color: #1d1d1d; }
+    html.theme--documenter-dark .button.is-black.is-active, html.theme--documenter-dark .button.is-black.is-focused, html.theme--documenter-dark .button.is-black:active, html.theme--documenter-dark .button.is-black:focus {
+      border-color: #0a0a0a;
+      box-shadow: 0 0 0 2px rgba(10, 10, 10, 0.5); }
+    html.theme--documenter-dark .button.is-light.is-hovered, html.theme--documenter-dark .button.is-light:hover {
+      background-color: white; }
+    html.theme--documenter-dark .button.is-light.is-active, html.theme--documenter-dark .button.is-light.is-focused, html.theme--documenter-dark .button.is-light:active, html.theme--documenter-dark .button.is-light:focus {
+      border-color: #ecf0f1;
+      box-shadow: 0 0 0 2px rgba(236, 240, 241, 0.5); }
+    html.theme--documenter-dark .button.is-dark.is-hovered, html.theme--documenter-dark .content kbd.button.is-hovered, html.theme--documenter-dark .button.is-dark:hover, html.theme--documenter-dark .content kbd.button:hover {
+      background-color: #3a4344; }
+    html.theme--documenter-dark .button.is-dark.is-active, html.theme--documenter-dark .content kbd.button.is-active, html.theme--documenter-dark .button.is-dark.is-focused, html.theme--documenter-dark .content kbd.button.is-focused, html.theme--documenter-dark .button.is-dark:active, html.theme--documenter-dark .content kbd.button:active, html.theme--documenter-dark .button.is-dark:focus, html.theme--documenter-dark .content kbd.button:focus {
+      border-color: #282f2f;
+      box-shadow: 0 0 0 2px rgba(40, 47, 47, 0.5); }
+    html.theme--documenter-dark .button.is-primary.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary:hover, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:hover {
+      background-color: #436d9a; }
+    html.theme--documenter-dark .button.is-primary.is-active, html.theme--documenter-dark .docstring > section > a.button.is-active.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink, html.theme--documenter-dark .button.is-primary:active, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:active, html.theme--documenter-dark .button.is-primary:focus, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus {
+      border-color: #375a7f;
+      box-shadow: 0 0 0 2px rgba(55, 90, 127, 0.5); }
+    html.theme--documenter-dark .button.is-link.is-hovered, html.theme--documenter-dark .button.is-link:hover {
+      background-color: #1fdeb8; }
+    html.theme--documenter-dark .button.is-link.is-active, html.theme--documenter-dark .button.is-link.is-focused, html.theme--documenter-dark .button.is-link:active, html.theme--documenter-dark .button.is-link:focus {
+      border-color: #1abc9c;
+      box-shadow: 0 0 0 2px rgba(26, 188, 156, 0.5); }
+    html.theme--documenter-dark .button.is-info.is-hovered, html.theme--documenter-dark .button.is-info:hover {
+      background-color: #0363a3; }
+    html.theme--documenter-dark .button.is-info.is-active, html.theme--documenter-dark .button.is-info.is-focused, html.theme--documenter-dark .button.is-info:active, html.theme--documenter-dark .button.is-info:focus {
+      border-color: #024c7d;
+      box-shadow: 0 0 0 2px rgba(2, 76, 125, 0.5); }
+    html.theme--documenter-dark .button.is-success.is-hovered, html.theme--documenter-dark .button.is-success:hover {
+      background-color: #00aa48; }
+    html.theme--documenter-dark .button.is-success.is-active, html.theme--documenter-dark .button.is-success.is-focused, html.theme--documenter-dark .button.is-success:active, html.theme--documenter-dark .button.is-success:focus {
+      border-color: #008438;
+      box-shadow: 0 0 0 2px rgba(0, 132, 56, 0.5); }
+    html.theme--documenter-dark .button.is-warning.is-hovered, html.theme--documenter-dark .button.is-warning:hover {
+      background-color: #d39e00; }
+    html.theme--documenter-dark .button.is-warning.is-active, html.theme--documenter-dark .button.is-warning.is-focused, html.theme--documenter-dark .button.is-warning:active, html.theme--documenter-dark .button.is-warning:focus {
+      border-color: #ad8100;
+      box-shadow: 0 0 0 2px rgba(173, 129, 0, 0.5); }
+    html.theme--documenter-dark .button.is-danger.is-hovered, html.theme--documenter-dark .button.is-danger:hover {
+      background-color: #c12110; }
+    html.theme--documenter-dark .button.is-danger.is-active, html.theme--documenter-dark .button.is-danger.is-focused, html.theme--documenter-dark .button.is-danger:active, html.theme--documenter-dark .button.is-danger:focus {
+      border-color: #9e1b0d;
+      box-shadow: 0 0 0 2px rgba(158, 27, 13, 0.5); }
+  html.theme--documenter-dark .label {
+    color: #dbdee0; }
+  html.theme--documenter-dark .button,
+  html.theme--documenter-dark .control.has-icons-left .icon,
+  html.theme--documenter-dark .control.has-icons-right .icon,
+  html.theme--documenter-dark .input,
+  html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input,
+  html.theme--documenter-dark .pagination-ellipsis,
+  html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .select,
+  html.theme--documenter-dark .select select,
+  html.theme--documenter-dark .textarea {
+    height: 2.5em; }
+  html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input,
+  html.theme--documenter-dark .textarea {
+    transition: all 200ms ease;
+    box-shadow: none;
+    border-width: 1px;
+    padding-left: 1em;
+    padding-right: 1em; }
+  html.theme--documenter-dark .select:after,
+  html.theme--documenter-dark .select select {
+    border-width: 1px; }
+  html.theme--documenter-dark .control.has-addons .button,
+  html.theme--documenter-dark .control.has-addons .input,
+  html.theme--documenter-dark .control.has-addons #documenter .docs-sidebar form.docs-search > input,
+  html.theme--documenter-dark #documenter .docs-sidebar .control.has-addons form.docs-search > input,
+  html.theme--documenter-dark .control.has-addons .select {
+    margin-right: -1px; }
+  html.theme--documenter-dark .notification {
+    background-color: #343c3d; }
+  html.theme--documenter-dark .card {
+    box-shadow: none;
+    border: 1px solid #343c3d;
+    background-color: #282f2f;
+    border-radius: 0.4em; }
+    html.theme--documenter-dark .card .card-image img {
+      border-radius: 0.4em 0.4em 0 0; }
+    html.theme--documenter-dark .card .card-header {
+      box-shadow: none;
+      background-color: rgba(18, 18, 18, 0.2);
+      border-radius: 0.4em 0.4em 0 0; }
+    html.theme--documenter-dark .card .card-footer {
+      background-color: rgba(18, 18, 18, 0.2); }
+    html.theme--documenter-dark .card .card-footer,
+    html.theme--documenter-dark .card .card-footer-item {
+      border-width: 1px;
+      border-color: #343c3d; }
+  html.theme--documenter-dark .notification.is-white a:not(.button) {
+    color: #0a0a0a;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-black a:not(.button) {
+    color: white;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-light a:not(.button) {
+    color: #282f2f;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-dark a:not(.button), html.theme--documenter-dark .content kbd.notification a:not(.button) {
+    color: #ecf0f1;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-primary a:not(.button), html.theme--documenter-dark .docstring > section > a.notification.docs-sourcelink a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-link a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-info a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-success a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-warning a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-danger a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .tag, html.theme--documenter-dark .content kbd, html.theme--documenter-dark .docstring > section > a.docs-sourcelink {
+    border-radius: 0.4em; }
+  html.theme--documenter-dark .menu-list a {
+    transition: all 300ms ease; }
+  html.theme--documenter-dark .modal-card-body {
+    background-color: #282f2f; }
+  html.theme--documenter-dark .modal-card-foot,
+  html.theme--documenter-dark .modal-card-head {
+    border-color: #343c3d; }
+  html.theme--documenter-dark .message-header {
+    font-weight: 700;
+    background-color: #343c3d;
+    color: white; }
+  html.theme--documenter-dark .message-body {
+    border-width: 1px;
+    border-color: #343c3d; }
+  html.theme--documenter-dark .navbar {
+    border-radius: 0.4em; }
+    html.theme--documenter-dark .navbar.is-transparent {
+      background: none; }
+    html.theme--documenter-dark .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active {
+      background-color: #1abc9c; }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .navbar .navbar-menu {
+        background-color: #375a7f;
+        border-radius: 0 0 0.4em 0.4em; } }
+  html.theme--documenter-dark .hero .navbar,
+  html.theme--documenter-dark body > .navbar {
+    border-radius: 0; }
+  html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-previous {
+    border-width: 1px; }
+  html.theme--documenter-dark .panel-block,
+  html.theme--documenter-dark .panel-heading,
+  html.theme--documenter-dark .panel-tabs {
+    border-width: 1px; }
+    html.theme--documenter-dark .panel-block:first-child,
+    html.theme--documenter-dark .panel-heading:first-child,
+    html.theme--documenter-dark .panel-tabs:first-child {
+      border-top-width: 1px; }
+  html.theme--documenter-dark .panel-heading {
+    font-weight: 700; }
+  html.theme--documenter-dark .panel-tabs a {
+    border-width: 1px;
+    margin-bottom: -1px; }
+    html.theme--documenter-dark .panel-tabs a.is-active {
+      border-bottom-color: #17a689; }
+  html.theme--documenter-dark .panel-block:hover {
+    color: #1dd2af; }
+    html.theme--documenter-dark .panel-block:hover .panel-icon {
+      color: #1dd2af; }
+  html.theme--documenter-dark .panel-block.is-active .panel-icon {
+    color: #17a689; }
+  html.theme--documenter-dark .tabs a {
+    border-bottom-width: 1px;
+    margin-bottom: -1px; }
+  html.theme--documenter-dark .tabs ul {
+    border-bottom-width: 1px; }
+  html.theme--documenter-dark .tabs.is-boxed a {
+    border-width: 1px; }
+  html.theme--documenter-dark .tabs.is-boxed li.is-active a {
+    background-color: #1f2424; }
+  html.theme--documenter-dark .tabs.is-toggle li a {
+    border-width: 1px;
+    margin-bottom: 0; }
+  html.theme--documenter-dark .tabs.is-toggle li + li {
+    margin-left: -1px; }
+  html.theme--documenter-dark .hero.is-white .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-black .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-light .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-dark .navbar .navbar-dropdown .navbar-item:hover, html.theme--documenter-dark .content kbd.hero .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-primary .navbar .navbar-dropdown .navbar-item:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-link .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-info .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-success .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-warning .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-danger .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark h1 .docs-heading-anchor, html.theme--documenter-dark h1 .docs-heading-anchor:hover, html.theme--documenter-dark h1 .docs-heading-anchor:visited, html.theme--documenter-dark h2 .docs-heading-anchor, html.theme--documenter-dark h2 .docs-heading-anchor:hover, html.theme--documenter-dark h2 .docs-heading-anchor:visited, html.theme--documenter-dark h3 .docs-heading-anchor, html.theme--documenter-dark h3 .docs-heading-anchor:hover, html.theme--documenter-dark h3 .docs-heading-anchor:visited, html.theme--documenter-dark h4 .docs-heading-anchor, html.theme--documenter-dark h4 .docs-heading-anchor:hover, html.theme--documenter-dark h4 .docs-heading-anchor:visited, html.theme--documenter-dark h5 .docs-heading-anchor, html.theme--documenter-dark h5 .docs-heading-anchor:hover, html.theme--documenter-dark h5 .docs-heading-anchor:visited, html.theme--documenter-dark h6 .docs-heading-anchor, html.theme--documenter-dark h6 .docs-heading-anchor:hover, html.theme--documenter-dark h6 .docs-heading-anchor:visited {
+    color: #f2f2f2; }
+  html.theme--documenter-dark h1 .docs-heading-anchor-permalink, html.theme--documenter-dark h2 .docs-heading-anchor-permalink, html.theme--documenter-dark h3 .docs-heading-anchor-permalink, html.theme--documenter-dark h4 .docs-heading-anchor-permalink, html.theme--documenter-dark h5 .docs-heading-anchor-permalink, html.theme--documenter-dark h6 .docs-heading-anchor-permalink {
+    visibility: hidden;
+    vertical-align: middle;
+    margin-left: 0.5em;
+    font-size: 0.7rem; }
+    html.theme--documenter-dark h1 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h2 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h3 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h4 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h5 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h6 .docs-heading-anchor-permalink::before {
+      font-family: "Font Awesome 5 Free";
+      font-weight: 900;
+      content: "\f0c1"; }
+  html.theme--documenter-dark h1:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h2:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h3:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h4:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h5:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h6:hover .docs-heading-anchor-permalink {
+    visibility: visible; }
+  html.theme--documenter-dark .docs-light-only {
+    display: none !important; }
+  html.theme--documenter-dark pre {
+    position: relative;
+    overflow: hidden; }
+    html.theme--documenter-dark pre code, html.theme--documenter-dark pre code.hljs {
+      padding: 0 0.75rem !important;
+      overflow: auto;
+      display: block; }
+    html.theme--documenter-dark pre code:first-of-type, html.theme--documenter-dark pre code.hljs:first-of-type {
+      padding-top: 0.5rem !important; }
+    html.theme--documenter-dark pre code:last-of-type, html.theme--documenter-dark pre code.hljs:last-of-type {
+      padding-bottom: 0.5rem !important; }
+    html.theme--documenter-dark pre .copy-button {
+      opacity: 0.2;
+      transition: opacity 0.2s;
+      position: absolute;
+      right: 0em;
+      top: 0em;
+      padding: 0.5em;
+      width: 2.5em;
+      height: 2.5em;
+      background: transparent;
+      border: none;
+      font-family: "Font Awesome 5 Free";
+      color: #fff;
+      cursor: pointer;
+      text-align: center; }
+      html.theme--documenter-dark pre .copy-button:focus, html.theme--documenter-dark pre .copy-button:hover {
+        opacity: 1;
+        background: rgba(255, 255, 255, 0.1);
+        color: #1abc9c; }
+      html.theme--documenter-dark pre .copy-button.success {
+        color: #259a12;
+        opacity: 1; }
+      html.theme--documenter-dark pre .copy-button.error {
+        color: #cb3c33;
+        opacity: 1; }
+    html.theme--documenter-dark pre:hover .copy-button {
+      opacity: 1; }
+  html.theme--documenter-dark .admonition {
+    background-color: #282f2f;
+    border-style: solid;
+    border-width: 1px;
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    font-size: 15px; }
+    html.theme--documenter-dark .admonition strong {
+      color: currentColor; }
+    html.theme--documenter-dark .admonition.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.admonition {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .admonition.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .admonition.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .admonition.is-default {
+      background-color: #282f2f;
+      border-color: #5e6d6f; }
+      html.theme--documenter-dark .admonition.is-default > .admonition-header {
+        background-color: #5e6d6f; }
+    html.theme--documenter-dark .admonition.is-info {
+      background-color: #282f2f;
+      border-color: #024c7d; }
+      html.theme--documenter-dark .admonition.is-info > .admonition-header {
+        background-color: #024c7d; }
+    html.theme--documenter-dark .admonition.is-success {
+      background-color: #282f2f;
+      border-color: #008438; }
+      html.theme--documenter-dark .admonition.is-success > .admonition-header {
+        background-color: #008438; }
+    html.theme--documenter-dark .admonition.is-warning {
+      background-color: #282f2f;
+      border-color: #ad8100; }
+      html.theme--documenter-dark .admonition.is-warning > .admonition-header {
+        background-color: #ad8100; }
+    html.theme--documenter-dark .admonition.is-danger {
+      background-color: #282f2f;
+      border-color: #9e1b0d; }
+      html.theme--documenter-dark .admonition.is-danger > .admonition-header {
+        background-color: #9e1b0d; }
+    html.theme--documenter-dark .admonition.is-compat {
+      background-color: #282f2f;
+      border-color: #137886; }
+      html.theme--documenter-dark .admonition.is-compat > .admonition-header {
+        background-color: #137886; }
+  html.theme--documenter-dark .admonition-header {
+    background-color: #5e6d6f;
+    align-items: center;
+    font-weight: 700;
+    justify-content: space-between;
+    line-height: 1.25;
+    padding: 0.5rem 0.75rem;
+    position: relative; }
+    html.theme--documenter-dark .admonition-header:before {
+      font-family: "Font Awesome 5 Free";
+      font-weight: 900;
+      margin-right: 0.75rem;
+      content: "\f06a"; }
+  html.theme--documenter-dark .admonition-body {
+    color: #fff;
+    padding: 0.5rem 0.75rem; }
+    html.theme--documenter-dark .admonition-body pre {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .admonition-body code {
+      background-color: rgba(255, 255, 255, 0.05); }
+  html.theme--documenter-dark .docstring {
+    margin-bottom: 1em;
+    background-color: transparent;
+    border: 1px solid #5e6d6f;
+    box-shadow: none;
+    max-width: 100%; }
+    html.theme--documenter-dark .docstring > header {
+      display: flex;
+      flex-grow: 1;
+      align-items: stretch;
+      padding: 0.5rem 0.75rem;
+      background-color: #282f2f;
+      box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+      box-shadow: none;
+      border-bottom: 1px solid #5e6d6f; }
+      html.theme--documenter-dark .docstring > header code {
+        background-color: transparent; }
+      html.theme--documenter-dark .docstring > header .docstring-binding {
+        margin-right: 0.3em; }
+      html.theme--documenter-dark .docstring > header .docstring-category {
+        margin-left: 0.3em; }
+    html.theme--documenter-dark .docstring > section {
+      position: relative;
+      padding: 0.75rem 0.75rem;
+      border-bottom: 1px solid #5e6d6f; }
+      html.theme--documenter-dark .docstring > section:last-child {
+        border-bottom: none; }
+      html.theme--documenter-dark .docstring > section > a.docs-sourcelink {
+        transition: opacity 0.3s;
+        opacity: 0;
+        position: absolute;
+        right: 0.375rem;
+        bottom: 0.375rem; }
+        html.theme--documenter-dark .docstring > section > a.docs-sourcelink:focus {
+          opacity: 1 !important; }
+    html.theme--documenter-dark .docstring:hover > section > a.docs-sourcelink {
+      opacity: 0.2; }
+    html.theme--documenter-dark .docstring:focus-within > section > a.docs-sourcelink {
+      opacity: 0.2; }
+    html.theme--documenter-dark .docstring > section:hover a.docs-sourcelink {
+      opacity: 1; }
+  html.theme--documenter-dark .documenter-example-output {
+    background-color: #1f2424; }
+  html.theme--documenter-dark .outdated-warning-overlay {
+    position: fixed;
+    top: 0;
+    left: 0;
+    right: 0;
+    box-shadow: 0 0 10px rgba(0, 0, 0, 0.3);
+    z-index: 999;
+    background-color: #282f2f;
+    border-bottom: 3px solid #9e1b0d;
+    padding: 10px 35px;
+    text-align: center;
+    font-size: 15px; }
+    html.theme--documenter-dark .outdated-warning-overlay .outdated-warning-closer {
+      position: absolute;
+      top: calc(50% - 10px);
+      right: 18px;
+      cursor: pointer;
+      width: 12px; }
+    html.theme--documenter-dark .outdated-warning-overlay a {
+      color: #1abc9c; }
+      html.theme--documenter-dark .outdated-warning-overlay a:hover {
+        color: #1dd2af; }
+  html.theme--documenter-dark .content pre {
+    border: 1px solid #5e6d6f; }
+  html.theme--documenter-dark .content code {
+    font-weight: inherit; }
+  html.theme--documenter-dark .content a code {
+    color: #1abc9c; }
+  html.theme--documenter-dark .content h1 code, html.theme--documenter-dark .content h2 code, html.theme--documenter-dark .content h3 code, html.theme--documenter-dark .content h4 code, html.theme--documenter-dark .content h5 code, html.theme--documenter-dark .content h6 code {
+    color: #f2f2f2; }
+  html.theme--documenter-dark .content table {
+    display: block;
+    width: initial;
+    max-width: 100%;
+    overflow-x: auto; }
+  html.theme--documenter-dark .content blockquote > ul:first-child, html.theme--documenter-dark .content blockquote > ol:first-child, html.theme--documenter-dark .content .admonition-body > ul:first-child, html.theme--documenter-dark .content .admonition-body > ol:first-child {
+    margin-top: 0; }
+  html.theme--documenter-dark pre, html.theme--documenter-dark code {
+    font-variant-ligatures: no-contextual; }
+  html.theme--documenter-dark .breadcrumb a.is-disabled {
+    cursor: default;
+    pointer-events: none; }
+    html.theme--documenter-dark .breadcrumb a.is-disabled, html.theme--documenter-dark .breadcrumb a.is-disabled:hover {
+      color: #f2f2f2; }
+  html.theme--documenter-dark .hljs {
+    background: initial !important; }
+  html.theme--documenter-dark .katex .katex-mathml {
+    top: 0;
+    right: 0; }
+  html.theme--documenter-dark .katex-display, html.theme--documenter-dark mjx-container, html.theme--documenter-dark .MathJax_Display {
+    margin: 0.5em 0 !important; }
+  html.theme--documenter-dark html {
+    -moz-osx-font-smoothing: auto;
+    -webkit-font-smoothing: auto; }
+  html.theme--documenter-dark li.no-marker {
+    list-style: none; }
+  html.theme--documenter-dark #documenter .docs-main > article {
+    overflow-wrap: break-word; }
+    html.theme--documenter-dark #documenter .docs-main > article .math-container {
+      overflow-x: auto;
+      overflow-y: hidden; }
+  @media screen and (min-width: 1056px) {
+    html.theme--documenter-dark #documenter .docs-main {
+      max-width: 52rem;
+      margin-left: 20rem;
+      padding-right: 1rem; } }
+  @media screen and (max-width: 1055px) {
+    html.theme--documenter-dark #documenter .docs-main {
+      width: 100%; }
+      html.theme--documenter-dark #documenter .docs-main > article {
+        max-width: 52rem;
+        margin-left: auto;
+        margin-right: auto;
+        margin-bottom: 1rem;
+        padding: 0 1rem; }
+      html.theme--documenter-dark #documenter .docs-main > header, html.theme--documenter-dark #documenter .docs-main > nav {
+        max-width: 100%;
+        width: 100%;
+        margin: 0; } }
+  html.theme--documenter-dark #documenter .docs-main header.docs-navbar {
+    background-color: #1f2424;
+    border-bottom: 1px solid #5e6d6f;
+    z-index: 2;
+    min-height: 4rem;
+    margin-bottom: 1rem;
+    display: flex; }
+    html.theme--documenter-dark #documenter .docs-main header.docs-navbar .breadcrumb {
+      flex-grow: 1; }
+    html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right {
+      display: flex;
+      white-space: nowrap; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-icon, html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-label, html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+        display: inline-block; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-label {
+        padding: 0;
+        margin-left: 0.3em; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-settings-button {
+        margin: auto 0 auto 1rem; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+        font-size: 1.5rem;
+        margin: auto 0 auto 1rem; }
+    html.theme--documenter-dark #documenter .docs-main header.docs-navbar > * {
+      margin: auto 0; }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar {
+        position: sticky;
+        top: 0;
+        padding: 0 1rem;
+        /* For Headroom.js */
+        transition-property: top, box-shadow;
+        -webkit-transition-property: top, box-shadow;
+        /* Safari */
+        transition-duration: 0.3s;
+        -webkit-transition-duration: 0.3s;
+        /* Safari */ }
+        html.theme--documenter-dark #documenter .docs-main header.docs-navbar.headroom--not-top {
+          box-shadow: 0.2rem 0rem 0.4rem #171717;
+          transition-duration: 0.7s;
+          -webkit-transition-duration: 0.7s;
+          /* Safari */ }
+        html.theme--documenter-dark #documenter .docs-main header.docs-navbar.headroom--unpinned.headroom--not-top.headroom--not-bottom {
+          top: -4.5rem;
+          transition-duration: 0.7s;
+          -webkit-transition-duration: 0.7s;
+          /* Safari */ } }
+  html.theme--documenter-dark #documenter .docs-main section.footnotes {
+    border-top: 1px solid #5e6d6f; }
+    html.theme--documenter-dark #documenter .docs-main section.footnotes li .tag:first-child, html.theme--documenter-dark #documenter .docs-main section.footnotes li .docstring > section > a.docs-sourcelink:first-child, html.theme--documenter-dark #documenter .docs-main section.footnotes li .content kbd:first-child, html.theme--documenter-dark .content #documenter .docs-main section.footnotes li kbd:first-child {
+      margin-right: 1em;
+      margin-bottom: 0.4em; }
+  html.theme--documenter-dark #documenter .docs-main .docs-footer {
+    display: flex;
+    flex-wrap: wrap;
+    margin-left: 0;
+    margin-right: 0;
+    border-top: 1px solid #5e6d6f;
+    padding-top: 1rem;
+    padding-bottom: 1rem; }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark #documenter .docs-main .docs-footer {
+        padding-left: 1rem;
+        padding-right: 1rem; } }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-nextpage, html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-prevpage {
+      flex-grow: 1; }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-nextpage {
+      text-align: right; }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .flexbox-break {
+      flex-basis: 100%;
+      height: 0; }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .footer-message {
+      font-size: 0.8em;
+      margin: 0.5em auto 0 auto;
+      text-align: center; }
+  html.theme--documenter-dark #documenter .docs-sidebar {
+    display: flex;
+    flex-direction: column;
+    color: #fff;
+    background-color: #282f2f;
+    border-right: 1px solid #5e6d6f;
+    padding: 0;
+    flex: 0 0 18rem;
+    z-index: 5;
+    font-size: 15px;
+    position: fixed;
+    left: -18rem;
+    width: 18rem;
+    height: 100%;
+    transition: left 0.3s;
+    /* Setting up a nicer theme style for the scrollbar */ }
+    html.theme--documenter-dark #documenter .docs-sidebar.visible {
+      left: 0;
+      box-shadow: 0.4rem 0rem 0.8rem #171717; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark #documenter .docs-sidebar.visible {
+          box-shadow: none; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark #documenter .docs-sidebar {
+        left: 0;
+        top: 0; } }
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo {
+      margin-top: 1rem;
+      padding: 0 1rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img {
+        max-height: 6rem;
+        margin: auto; }
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name {
+      flex-shrink: 0;
+      font-size: 1.5rem;
+      font-weight: 700;
+      text-align: center;
+      white-space: nowrap;
+      overflow: hidden;
+      padding: 0.5rem 0; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name .docs-autofit {
+        max-width: 16.2rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name a, html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name a:hover {
+        color: #fff; }
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-version-selector {
+      border-top: 1px solid #5e6d6f;
+      display: none;
+      padding: 0.5rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-version-selector.visible {
+        display: flex; }
+    html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu {
+      flex-grow: 1;
+      user-select: none;
+      border-top: 1px solid #5e6d6f;
+      padding-bottom: 1.5rem;
+      /* Managing collapsible submenus */ }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li > .tocitem {
+        font-weight: bold; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li li {
+        font-size: 14.25px;
+        margin-left: 1em;
+        border-left: 1px solid #5e6d6f; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input.collapse-toggle {
+        display: none; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.collapsed {
+        display: none; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input:checked ~ ul.collapsed {
+        display: block; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem {
+        display: flex; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-label {
+          flex-grow: 2; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron {
+          display: inline-block;
+          font-style: normal;
+          font-variant: normal;
+          text-rendering: auto;
+          line-height: 1;
+          font-size: 11.25px;
+          margin-left: 1rem;
+          margin-top: auto;
+          margin-bottom: auto; }
+          html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron::before {
+            font-family: "Font Awesome 5 Free";
+            font-weight: 900;
+            content: "\f054"; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input:checked ~ label.tocitem .docs-chevron::before {
+        content: "\f078"; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem {
+        display: block;
+        padding: 0.5rem 0.5rem; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem:hover {
+          color: #fff;
+          background: #282f2f; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu a.tocitem:hover, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem:hover {
+        color: #fff;
+        background-color: #32393a; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active {
+        border-top: 1px solid #5e6d6f;
+        border-bottom: 1px solid #5e6d6f;
+        background-color: #1f2424; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem:hover {
+          background-color: #1f2424;
+          color: #fff; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active ul.internal .tocitem:hover {
+          background-color: #32393a;
+          color: #fff; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li.is-active:first-child {
+        border-top: none; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal {
+        margin: 0 0.5rem 0.5rem;
+        border-top: 1px solid #5e6d6f; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal li {
+          font-size: 12.75px;
+          border-left: none;
+          margin-left: 0;
+          margin-top: 0.5rem; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem {
+          width: 100%;
+          padding: 0; }
+          html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem::before {
+            content: "⚬";
+            margin-right: 0.4em; }
+    html.theme--documenter-dark #documenter .docs-sidebar form.docs-search {
+      margin: auto;
+      margin-top: 0.5rem;
+      margin-bottom: 0.5rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+        width: 14.4rem; }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu {
+        overflow-y: auto;
+        -webkit-overflow-scroll: touch; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar {
+          width: .3rem;
+          background: none; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb {
+          border-radius: 5px 0px 0px 5px;
+          background: #3b4445; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb:hover {
+          background: #4e5a5c; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark #documenter .docs-sidebar {
+        overflow-y: auto;
+        -webkit-overflow-scroll: touch; }
+        html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar {
+          width: .3rem;
+          background: none; }
+        html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar-thumb {
+          border-radius: 5px 0px 0px 5px;
+          background: #3b4445; }
+        html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar-thumb:hover {
+          background: #4e5a5c; } }
+  html.theme--documenter-dark #documenter .docs-main #documenter-search-info {
+    margin-bottom: 1rem; }
+  html.theme--documenter-dark #documenter .docs-main #documenter-search-results {
+    list-style-type: circle;
+    list-style-position: outside; }
+    html.theme--documenter-dark #documenter .docs-main #documenter-search-results li {
+      margin-left: 2rem; }
+    html.theme--documenter-dark #documenter .docs-main #documenter-search-results .docs-highlight {
+      background-color: yellow; }
+  html.theme--documenter-dark {
+    background-color: #1f2424;
+    font-size: 16px;
+    min-width: 300px;
+    overflow-x: auto;
+    overflow-y: scroll;
+    text-rendering: optimizeLegibility;
+    text-size-adjust: 100%; }
+  html.theme--documenter-dark .ansi span.sgr1 {
+    font-weight: bolder; }
+  html.theme--documenter-dark .ansi span.sgr2 {
+    font-weight: lighter; }
+  html.theme--documenter-dark .ansi span.sgr3 {
+    font-style: italic; }
+  html.theme--documenter-dark .ansi span.sgr4 {
+    text-decoration: underline; }
+  html.theme--documenter-dark .ansi span.sgr7 {
+    color: #1f2424;
+    background-color: #fff; }
+  html.theme--documenter-dark .ansi span.sgr8 {
+    color: transparent; }
+    html.theme--documenter-dark .ansi span.sgr8 span {
+      color: transparent; }
+  html.theme--documenter-dark .ansi span.sgr9 {
+    text-decoration: line-through; }
+  html.theme--documenter-dark .ansi span.sgr30 {
+    color: #242424; }
+  html.theme--documenter-dark .ansi span.sgr31 {
+    color: #f6705f; }
+  html.theme--documenter-dark .ansi span.sgr32 {
+    color: #4fb43a; }
+  html.theme--documenter-dark .ansi span.sgr33 {
+    color: #f4c72f; }
+  html.theme--documenter-dark .ansi span.sgr34 {
+    color: #7587f0; }
+  html.theme--documenter-dark .ansi span.sgr35 {
+    color: #bc89d3; }
+  html.theme--documenter-dark .ansi span.sgr36 {
+    color: #49b6ca; }
+  html.theme--documenter-dark .ansi span.sgr37 {
+    color: #b3bdbe; }
+  html.theme--documenter-dark .ansi span.sgr40 {
+    background-color: #242424; }
+  html.theme--documenter-dark .ansi span.sgr41 {
+    background-color: #f6705f; }
+  html.theme--documenter-dark .ansi span.sgr42 {
+    background-color: #4fb43a; }
+  html.theme--documenter-dark .ansi span.sgr43 {
+    background-color: #f4c72f; }
+  html.theme--documenter-dark .ansi span.sgr44 {
+    background-color: #7587f0; }
+  html.theme--documenter-dark .ansi span.sgr45 {
+    background-color: #bc89d3; }
+  html.theme--documenter-dark .ansi span.sgr46 {
+    background-color: #49b6ca; }
+  html.theme--documenter-dark .ansi span.sgr47 {
+    background-color: #b3bdbe; }
+  html.theme--documenter-dark .ansi span.sgr90 {
+    color: #92a0a2; }
+  html.theme--documenter-dark .ansi span.sgr91 {
+    color: #ff8674; }
+  html.theme--documenter-dark .ansi span.sgr92 {
+    color: #79d462; }
+  html.theme--documenter-dark .ansi span.sgr93 {
+    color: #ffe76b; }
+  html.theme--documenter-dark .ansi span.sgr94 {
+    color: #8a98ff; }
+  html.theme--documenter-dark .ansi span.sgr95 {
+    color: #d2a4e6; }
+  html.theme--documenter-dark .ansi span.sgr96 {
+    color: #6bc8db; }
+  html.theme--documenter-dark .ansi span.sgr97 {
+    color: #ecf0f1; }
+  html.theme--documenter-dark .ansi span.sgr100 {
+    background-color: #92a0a2; }
+  html.theme--documenter-dark .ansi span.sgr101 {
+    background-color: #ff8674; }
+  html.theme--documenter-dark .ansi span.sgr102 {
+    background-color: #79d462; }
+  html.theme--documenter-dark .ansi span.sgr103 {
+    background-color: #ffe76b; }
+  html.theme--documenter-dark .ansi span.sgr104 {
+    background-color: #8a98ff; }
+  html.theme--documenter-dark .ansi span.sgr105 {
+    background-color: #d2a4e6; }
+  html.theme--documenter-dark .ansi span.sgr106 {
+    background-color: #6bc8db; }
+  html.theme--documenter-dark .ansi span.sgr107 {
+    background-color: #ecf0f1; }
+  html.theme--documenter-dark code.language-julia-repl > span.hljs-meta {
+    color: #4fb43a;
+    font-weight: bolder; }
+  html.theme--documenter-dark .hljs {
+    background: #2b2b2b;
+    color: #f8f8f2; }
+  html.theme--documenter-dark .hljs-comment,
+  html.theme--documenter-dark .hljs-quote {
+    color: #d4d0ab; }
+  html.theme--documenter-dark .hljs-variable,
+  html.theme--documenter-dark .hljs-template-variable,
+  html.theme--documenter-dark .hljs-tag,
+  html.theme--documenter-dark .hljs-name,
+  html.theme--documenter-dark .hljs-selector-id,
+  html.theme--documenter-dark .hljs-selector-class,
+  html.theme--documenter-dark .hljs-regexp,
+  html.theme--documenter-dark .hljs-deletion {
+    color: #ffa07a; }
+  html.theme--documenter-dark .hljs-number,
+  html.theme--documenter-dark .hljs-built_in,
+  html.theme--documenter-dark .hljs-literal,
+  html.theme--documenter-dark .hljs-type,
+  html.theme--documenter-dark .hljs-params,
+  html.theme--documenter-dark .hljs-meta,
+  html.theme--documenter-dark .hljs-link {
+    color: #f5ab35; }
+  html.theme--documenter-dark .hljs-attribute {
+    color: #ffd700; }
+  html.theme--documenter-dark .hljs-string,
+  html.theme--documenter-dark .hljs-symbol,
+  html.theme--documenter-dark .hljs-bullet,
+  html.theme--documenter-dark .hljs-addition {
+    color: #abe338; }
+  html.theme--documenter-dark .hljs-title,
+  html.theme--documenter-dark .hljs-section {
+    color: #00e0e0; }
+  html.theme--documenter-dark .hljs-keyword,
+  html.theme--documenter-dark .hljs-selector-tag {
+    color: #dcc6e0; }
+  html.theme--documenter-dark .hljs-emphasis {
+    font-style: italic; }
+  html.theme--documenter-dark .hljs-strong {
+    font-weight: bold; }
+  @media screen and (-ms-high-contrast: active) {
+    html.theme--documenter-dark .hljs-addition,
+    html.theme--documenter-dark .hljs-attribute,
+    html.theme--documenter-dark .hljs-built_in,
+    html.theme--documenter-dark .hljs-bullet,
+    html.theme--documenter-dark .hljs-comment,
+    html.theme--documenter-dark .hljs-link,
+    html.theme--documenter-dark .hljs-literal,
+    html.theme--documenter-dark .hljs-meta,
+    html.theme--documenter-dark .hljs-number,
+    html.theme--documenter-dark .hljs-params,
+    html.theme--documenter-dark .hljs-string,
+    html.theme--documenter-dark .hljs-symbol,
+    html.theme--documenter-dark .hljs-type,
+    html.theme--documenter-dark .hljs-quote {
+      color: highlight; }
+    html.theme--documenter-dark .hljs-keyword,
+    html.theme--documenter-dark .hljs-selector-tag {
+      font-weight: bold; } }
+  html.theme--documenter-dark .hljs-subst {
+    color: #f8f8f2; }
diff --git a/v0.4.0/assets/themes/documenter-light.css b/v0.4.0/assets/themes/documenter-light.css
new file mode 100644
index 000000000..9595d5b8e
--- /dev/null
+++ b/v0.4.0/assets/themes/documenter-light.css
@@ -0,0 +1,7738 @@
+@charset "UTF-8";
+/* Font Awesome 5 mixin. Can be included in any rule that should render Font Awesome icons. */
+@keyframes spinAround {
+  from {
+    transform: rotate(0deg); }
+  to {
+    transform: rotate(359deg); } }
+
+.tabs, .pagination-previous,
+.pagination-next,
+.pagination-link,
+.pagination-ellipsis, .breadcrumb, .file, .button, .is-unselectable, .modal-close, .delete {
+  -webkit-touch-callout: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  user-select: none; }
+
+.navbar-link:not(.is-arrowless)::after, .select:not(.is-multiple):not(.is-loading)::after {
+  border: 3px solid transparent;
+  border-radius: 2px;
+  border-right: 0;
+  border-top: 0;
+  content: " ";
+  display: block;
+  height: 0.625em;
+  margin-top: -0.4375em;
+  pointer-events: none;
+  position: absolute;
+  top: 50%;
+  transform: rotate(-45deg);
+  transform-origin: center;
+  width: 0.625em; }
+
+.admonition:not(:last-child), .tabs:not(:last-child), .message:not(:last-child), .list:not(:last-child), .level:not(:last-child), .breadcrumb:not(:last-child), .highlight:not(:last-child), .block:not(:last-child), .title:not(:last-child),
+.subtitle:not(:last-child), .table-container:not(:last-child), .table:not(:last-child), .progress:not(:last-child), .notification:not(:last-child), .content:not(:last-child), .box:not(:last-child) {
+  margin-bottom: 1.5rem; }
+
+.modal-close, .delete {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  background-color: rgba(10, 10, 10, 0.2);
+  border: none;
+  border-radius: 290486px;
+  cursor: pointer;
+  pointer-events: auto;
+  display: inline-block;
+  flex-grow: 0;
+  flex-shrink: 0;
+  font-size: 0;
+  height: 20px;
+  max-height: 20px;
+  max-width: 20px;
+  min-height: 20px;
+  min-width: 20px;
+  outline: none;
+  position: relative;
+  vertical-align: top;
+  width: 20px; }
+  .modal-close::before, .delete::before, .modal-close::after, .delete::after {
+    background-color: white;
+    content: "";
+    display: block;
+    left: 50%;
+    position: absolute;
+    top: 50%;
+    transform: translateX(-50%) translateY(-50%) rotate(45deg);
+    transform-origin: center center; }
+  .modal-close::before, .delete::before {
+    height: 2px;
+    width: 50%; }
+  .modal-close::after, .delete::after {
+    height: 50%;
+    width: 2px; }
+  .modal-close:hover, .delete:hover, .modal-close:focus, .delete:focus {
+    background-color: rgba(10, 10, 10, 0.3); }
+  .modal-close:active, .delete:active {
+    background-color: rgba(10, 10, 10, 0.4); }
+  .is-small.modal-close, #documenter .docs-sidebar form.docs-search > input.modal-close, .is-small.delete, #documenter .docs-sidebar form.docs-search > input.delete {
+    height: 16px;
+    max-height: 16px;
+    max-width: 16px;
+    min-height: 16px;
+    min-width: 16px;
+    width: 16px; }
+  .is-medium.modal-close, .is-medium.delete {
+    height: 24px;
+    max-height: 24px;
+    max-width: 24px;
+    min-height: 24px;
+    min-width: 24px;
+    width: 24px; }
+  .is-large.modal-close, .is-large.delete {
+    height: 32px;
+    max-height: 32px;
+    max-width: 32px;
+    min-height: 32px;
+    min-width: 32px;
+    width: 32px; }
+
+.control.is-loading::after, .select.is-loading::after, .loader, .button.is-loading::after {
+  animation: spinAround 500ms infinite linear;
+  border: 2px solid #dbdbdb;
+  border-radius: 290486px;
+  border-right-color: transparent;
+  border-top-color: transparent;
+  content: "";
+  display: block;
+  height: 1em;
+  position: relative;
+  width: 1em; }
+
+.hero-video, .modal-background, .modal, .image.is-square img, #documenter .docs-sidebar .docs-logo > img.is-square img,
+.image.is-square .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, .image.is-1by1 img, #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+.image.is-1by1 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, .image.is-5by4 img, #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+.image.is-5by4 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, .image.is-4by3 img, #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
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+#documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, .image.is-3by2 img, #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+.image.is-3by2 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, .image.is-5by3 img, #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+.image.is-5by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, .image.is-16by9 img, #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+.image.is-16by9 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, .image.is-2by1 img, #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+.image.is-2by1 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, .image.is-3by1 img, #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+.image.is-3by1 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, .image.is-4by5 img, #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+.image.is-4by5 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, .image.is-3by4 img, #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+.image.is-3by4 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, .image.is-2by3 img, #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
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+#documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, .image.is-3by5 img, #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+.image.is-3by5 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, .image.is-9by16 img, #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+.image.is-9by16 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, .image.is-1by2 img, #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+.image.is-1by2 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, .image.is-1by3 img, #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+.image.is-1by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio, .is-overlay {
+  bottom: 0;
+  left: 0;
+  position: absolute;
+  right: 0;
+  top: 0; }
+
+.pagination-previous,
+.pagination-next,
+.pagination-link,
+.pagination-ellipsis, .file-cta,
+.file-name, .select select, .textarea, .input, #documenter .docs-sidebar form.docs-search > input, .button {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  align-items: center;
+  border: 1px solid transparent;
+  border-radius: 4px;
+  box-shadow: none;
+  display: inline-flex;
+  font-size: 1rem;
+  height: 2.25em;
+  justify-content: flex-start;
+  line-height: 1.5;
+  padding-bottom: calc(0.375em - 1px);
+  padding-left: calc(0.625em - 1px);
+  padding-right: calc(0.625em - 1px);
+  padding-top: calc(0.375em - 1px);
+  position: relative;
+  vertical-align: top; }
+  .pagination-previous:focus,
+  .pagination-next:focus,
+  .pagination-link:focus,
+  .pagination-ellipsis:focus, .file-cta:focus,
+  .file-name:focus, .select select:focus, .textarea:focus, .input:focus, #documenter .docs-sidebar form.docs-search > input:focus, .button:focus, .is-focused.pagination-previous,
+  .is-focused.pagination-next,
+  .is-focused.pagination-link,
+  .is-focused.pagination-ellipsis, .is-focused.file-cta,
+  .is-focused.file-name, .select select.is-focused, .is-focused.textarea, .is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-focused.button, .pagination-previous:active,
+  .pagination-next:active,
+  .pagination-link:active,
+  .pagination-ellipsis:active, .file-cta:active,
+  .file-name:active, .select select:active, .textarea:active, .input:active, #documenter .docs-sidebar form.docs-search > input:active, .button:active, .is-active.pagination-previous,
+  .is-active.pagination-next,
+  .is-active.pagination-link,
+  .is-active.pagination-ellipsis, .is-active.file-cta,
+  .is-active.file-name, .select select.is-active, .is-active.textarea, .is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .is-active.button {
+    outline: none; }
+  .pagination-previous[disabled],
+  .pagination-next[disabled],
+  .pagination-link[disabled],
+  .pagination-ellipsis[disabled], .file-cta[disabled],
+  .file-name[disabled], .select select[disabled], .textarea[disabled], .input[disabled], #documenter .docs-sidebar form.docs-search > input[disabled], .button[disabled], fieldset[disabled] .pagination-previous,
+  fieldset[disabled] .pagination-next,
+  fieldset[disabled] .pagination-link,
+  fieldset[disabled] .pagination-ellipsis, fieldset[disabled] .file-cta,
+  fieldset[disabled] .file-name, fieldset[disabled] .select select, .select fieldset[disabled] select, fieldset[disabled] .textarea, fieldset[disabled] .input, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input, fieldset[disabled] .button {
+    cursor: not-allowed; }
+
+/*! minireset.css v0.0.4 | MIT License | github.com/jgthms/minireset.css */
+html,
+body,
+p,
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+dl,
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+textarea,
+pre,
+iframe,
+hr,
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+h2,
+h3,
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+h5,
+h6 {
+  margin: 0;
+  padding: 0; }
+
+h1,
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+h3,
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+h5,
+h6 {
+  font-size: 100%;
+  font-weight: normal; }
+
+ul {
+  list-style: none; }
+
+button,
+input,
+select,
+textarea {
+  margin: 0; }
+
+html {
+  box-sizing: border-box; }
+
+*, *::before, *::after {
+  box-sizing: inherit; }
+
+img,
+embed,
+iframe,
+object,
+video {
+  height: auto;
+  max-width: 100%; }
+
+audio {
+  max-width: 100%; }
+
+iframe {
+  border: 0; }
+
+table {
+  border-collapse: collapse;
+  border-spacing: 0; }
+
+td,
+th {
+  padding: 0; }
+  td:not([align]),
+  th:not([align]) {
+    text-align: left; }
+
+html {
+  background-color: white;
+  font-size: 16px;
+  -moz-osx-font-smoothing: grayscale;
+  -webkit-font-smoothing: antialiased;
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+  overflow-x: auto;
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+  text-rendering: optimizeLegibility;
+  text-size-adjust: 100%; }
+
+article,
+aside,
+figure,
+footer,
+header,
+hgroup,
+section {
+  display: block; }
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+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif; }
+
+code,
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+  -webkit-font-smoothing: auto;
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace; }
+
+body {
+  color: #222222;
+  font-size: 1em;
+  font-weight: 400;
+  line-height: 1.5; }
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+a {
+  color: #2e63b8;
+  cursor: pointer;
+  text-decoration: none; }
+  a strong {
+    color: currentColor; }
+  a:hover {
+    color: #363636; }
+
+code {
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+  color: #000000;
+  font-size: 0.875em;
+  font-weight: normal;
+  padding: 0.1em; }
+
+hr {
+  background-color: whitesmoke;
+  border: none;
+  display: block;
+  height: 2px;
+  margin: 1.5rem 0; }
+
+img {
+  height: auto;
+  max-width: 100%; }
+
+input[type="checkbox"],
+input[type="radio"] {
+  vertical-align: baseline; }
+
+small {
+  font-size: 0.875em; }
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+span {
+  font-style: inherit;
+  font-weight: inherit; }
+
+strong {
+  color: #222222;
+  font-weight: 700; }
+
+fieldset {
+  border: none; }
+
+pre {
+  -webkit-overflow-scrolling: touch;
+  background-color: whitesmoke;
+  color: #222222;
+  font-size: 0.875em;
+  overflow-x: auto;
+  padding: 1.25rem 1.5rem;
+  white-space: pre;
+  word-wrap: normal; }
+  pre code {
+    background-color: transparent;
+    color: currentColor;
+    font-size: 1em;
+    padding: 0; }
+
+table td,
+table th {
+  vertical-align: top; }
+  table td:not([align]),
+  table th:not([align]) {
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+
+table th {
+  color: #222222; }
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+.is-clearfix::after {
+  clear: both;
+  content: " ";
+  display: table; }
+
+.is-pulled-left {
+  float: left !important; }
+
+.is-pulled-right {
+  float: right !important; }
+
+.is-clipped {
+  overflow: hidden !important; }
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+.is-size-1 {
+  font-size: 3rem !important; }
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+.is-size-6 {
+  font-size: 1rem !important; }
+
+.is-size-7, .docstring > section > a.docs-sourcelink {
+  font-size: 0.75rem !important; }
+
+@media screen and (max-width: 768px) {
+  .is-size-1-mobile {
+    font-size: 3rem !important; }
+  .is-size-2-mobile {
+    font-size: 2.5rem !important; }
+  .is-size-3-mobile {
+    font-size: 2rem !important; }
+  .is-size-4-mobile {
+    font-size: 1.5rem !important; }
+  .is-size-5-mobile {
+    font-size: 1.25rem !important; }
+  .is-size-6-mobile {
+    font-size: 1rem !important; }
+  .is-size-7-mobile {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-size-1-tablet {
+    font-size: 3rem !important; }
+  .is-size-2-tablet {
+    font-size: 2.5rem !important; }
+  .is-size-3-tablet {
+    font-size: 2rem !important; }
+  .is-size-4-tablet {
+    font-size: 1.5rem !important; }
+  .is-size-5-tablet {
+    font-size: 1.25rem !important; }
+  .is-size-6-tablet {
+    font-size: 1rem !important; }
+  .is-size-7-tablet {
+    font-size: 0.75rem !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-size-1-touch {
+    font-size: 3rem !important; }
+  .is-size-2-touch {
+    font-size: 2.5rem !important; }
+  .is-size-3-touch {
+    font-size: 2rem !important; }
+  .is-size-4-touch {
+    font-size: 1.5rem !important; }
+  .is-size-5-touch {
+    font-size: 1.25rem !important; }
+  .is-size-6-touch {
+    font-size: 1rem !important; }
+  .is-size-7-touch {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-size-1-desktop {
+    font-size: 3rem !important; }
+  .is-size-2-desktop {
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+  .is-size-3-desktop {
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+  .is-size-5-desktop {
+    font-size: 1.25rem !important; }
+  .is-size-6-desktop {
+    font-size: 1rem !important; }
+  .is-size-7-desktop {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-size-1-widescreen {
+    font-size: 3rem !important; }
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+  .is-size-7-widescreen {
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+  .is-size-2-fullhd {
+    font-size: 2.5rem !important; }
+  .is-size-3-fullhd {
+    font-size: 2rem !important; }
+  .is-size-4-fullhd {
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+
+.has-text-centered {
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+
+.has-text-justified {
+  text-align: justify !important; }
+
+.has-text-left {
+  text-align: left !important; }
+
+.has-text-right {
+  text-align: right !important; }
+
+@media screen and (max-width: 768px) {
+  .has-text-centered-mobile {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-centered-tablet {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-centered-tablet-only {
+    text-align: center !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-centered-touch {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-centered-desktop {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-centered-desktop-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-centered-widescreen {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-centered-widescreen-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-centered-fullhd {
+    text-align: center !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-justified-mobile {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-justified-tablet {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-justified-tablet-only {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-justified-touch {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-justified-desktop {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-justified-desktop-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-justified-widescreen {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-justified-widescreen-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-justified-fullhd {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-left-mobile {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-left-tablet {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-left-tablet-only {
+    text-align: left !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-left-touch {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-left-desktop {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-left-desktop-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-left-widescreen {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-left-widescreen-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-left-fullhd {
+    text-align: left !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-right-mobile {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-right-tablet {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-right-tablet-only {
+    text-align: right !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-right-touch {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-right-desktop {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-right-desktop-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-right-widescreen {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-right-widescreen-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-right-fullhd {
+    text-align: right !important; } }
+
+.is-capitalized {
+  text-transform: capitalize !important; }
+
+.is-lowercase {
+  text-transform: lowercase !important; }
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+.is-uppercase {
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+
+.is-italic {
+  font-style: italic !important; }
+
+.has-text-white {
+  color: white !important; }
+
+a.has-text-white:hover, a.has-text-white:focus {
+  color: #e6e6e6 !important; }
+
+.has-background-white {
+  background-color: white !important; }
+
+.has-text-black {
+  color: #0a0a0a !important; }
+
+a.has-text-black:hover, a.has-text-black:focus {
+  color: black !important; }
+
+.has-background-black {
+  background-color: #0a0a0a !important; }
+
+.has-text-light {
+  color: whitesmoke !important; }
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+a.has-text-light:hover, a.has-text-light:focus {
+  color: #dbdbdb !important; }
+
+.has-background-light {
+  background-color: whitesmoke !important; }
+
+.has-text-dark {
+  color: #363636 !important; }
+
+a.has-text-dark:hover, a.has-text-dark:focus {
+  color: #1c1c1c !important; }
+
+.has-background-dark {
+  background-color: #363636 !important; }
+
+.has-text-primary {
+  color: #4eb5de !important; }
+
+a.has-text-primary:hover, a.has-text-primary:focus {
+  color: #27a1d2 !important; }
+
+.has-background-primary {
+  background-color: #4eb5de !important; }
+
+.has-text-link {
+  color: #2e63b8 !important; }
+
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+  background-color: #2e63b8 !important; }
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+  color: #209cee !important; }
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+  color: #1081cb !important; }
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+  background-color: #209cee !important; }
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+  color: #22c35b !important; }
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+  color: #1a9847 !important; }
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+  background-color: #22c35b !important; }
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+  color: #ffdd57 !important; }
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+  color: #ffd324 !important; }
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+  color: #da0b00 !important; }
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+  color: #a70800 !important; }
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+  background-color: #da0b00 !important; }
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+  color: #121212 !important; }
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+  color: #242424 !important; }
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+  background-color: #242424 !important; }
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+  color: #363636 !important; }
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+  color: #4a4a4a !important; }
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+  background-color: #4a4a4a !important; }
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+  color: #6b6b6b !important; }
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+  background-color: #6b6b6b !important; }
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+  color: #b5b5b5 !important; }
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+.has-background-grey-light {
+  background-color: #b5b5b5 !important; }
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+.has-text-grey-lighter {
+  color: #dbdbdb !important; }
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+.has-background-grey-lighter {
+  background-color: #dbdbdb !important; }
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+.has-text-white-ter {
+  color: whitesmoke !important; }
+
+.has-background-white-ter {
+  background-color: whitesmoke !important; }
+
+.has-text-white-bis {
+  color: #fafafa !important; }
+
+.has-background-white-bis {
+  background-color: #fafafa !important; }
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+.has-text-weight-light {
+  font-weight: 300 !important; }
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+  font-weight: 400 !important; }
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+  font-weight: 500 !important; }
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+  font-weight: 600 !important; }
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+  font-weight: 700 !important; }
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+.is-family-primary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-secondary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-sans-serif {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-monospace {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-family-code {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-block {
+  display: block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-block-mobile {
+    display: block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-block-tablet {
+    display: block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-block-tablet-only {
+    display: block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-block-touch {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-block-desktop {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-block-desktop-only {
+    display: block !important; } }
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+@media screen and (min-width: 1216px) {
+  .is-block-widescreen {
+    display: block !important; } }
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+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-block-widescreen-only {
+    display: block !important; } }
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+@media screen and (min-width: 1408px) {
+  .is-block-fullhd {
+    display: block !important; } }
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+.is-flex {
+  display: flex !important; }
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+@media screen and (max-width: 768px) {
+  .is-flex-mobile {
+    display: flex !important; } }
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+@media screen and (min-width: 769px), print {
+  .is-flex-tablet {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-flex-tablet-only {
+    display: flex !important; } }
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+  .is-flex-touch {
+    display: flex !important; } }
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+@media screen and (min-width: 1056px) {
+  .is-flex-desktop {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-flex-desktop-only {
+    display: flex !important; } }
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+  .is-flex-widescreen {
+    display: flex !important; } }
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+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-flex-widescreen-only {
+    display: flex !important; } }
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+@media screen and (min-width: 1408px) {
+  .is-flex-fullhd {
+    display: flex !important; } }
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+  display: inline !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-mobile {
+    display: inline !important; } }
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+@media screen and (min-width: 769px), print {
+  .is-inline-tablet {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-tablet-only {
+    display: inline !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-touch {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-desktop {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-desktop-only {
+    display: inline !important; } }
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+  .is-inline-widescreen {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-widescreen-only {
+    display: inline !important; } }
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+@media screen and (min-width: 1408px) {
+  .is-inline-fullhd {
+    display: inline !important; } }
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+.is-inline-block {
+  display: inline-block !important; }
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+@media screen and (max-width: 768px) {
+  .is-inline-block-mobile {
+    display: inline-block !important; } }
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+@media screen and (min-width: 769px), print {
+  .is-inline-block-tablet {
+    display: inline-block !important; } }
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+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-block-tablet-only {
+    display: inline-block !important; } }
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+@media screen and (max-width: 1055px) {
+  .is-inline-block-touch {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-block-desktop {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-block-desktop-only {
+    display: inline-block !important; } }
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+@media screen and (min-width: 1216px) {
+  .is-inline-block-widescreen {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-block-widescreen-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-block-fullhd {
+    display: inline-block !important; } }
+
+.is-inline-flex {
+  display: inline-flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-flex-mobile {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-flex-tablet {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-flex-tablet-only {
+    display: inline-flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-flex-touch {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-flex-desktop {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-flex-desktop-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-flex-widescreen {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-flex-widescreen-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-flex-fullhd {
+    display: inline-flex !important; } }
+
+.is-hidden {
+  display: none !important; }
+
+.is-sr-only {
+  border: none !important;
+  clip: rect(0, 0, 0, 0) !important;
+  height: 0.01em !important;
+  overflow: hidden !important;
+  padding: 0 !important;
+  position: absolute !important;
+  white-space: nowrap !important;
+  width: 0.01em !important; }
+
+@media screen and (max-width: 768px) {
+  .is-hidden-mobile {
+    display: none !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-hidden-tablet {
+    display: none !important; } }
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+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-hidden-tablet-only {
+    display: none !important; } }
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+@media screen and (max-width: 1055px) {
+  .is-hidden-touch {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-hidden-desktop {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-hidden-desktop-only {
+    display: none !important; } }
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+@media screen and (min-width: 1216px) {
+  .is-hidden-widescreen {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-hidden-widescreen-only {
+    display: none !important; } }
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+@media screen and (min-width: 1408px) {
+  .is-hidden-fullhd {
+    display: none !important; } }
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+.is-invisible {
+  visibility: hidden !important; }
+
+@media screen and (max-width: 768px) {
+  .is-invisible-mobile {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-invisible-tablet {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-invisible-tablet-only {
+    visibility: hidden !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-invisible-touch {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-invisible-desktop {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-invisible-desktop-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-invisible-widescreen {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-invisible-widescreen-only {
+    visibility: hidden !important; } }
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+@media screen and (min-width: 1408px) {
+  .is-invisible-fullhd {
+    visibility: hidden !important; } }
+
+.is-marginless {
+  margin: 0 !important; }
+
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+  padding: 0 !important; }
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+.is-radiusless {
+  border-radius: 0 !important; }
+
+.is-shadowless {
+  box-shadow: none !important; }
+
+.is-relative {
+  position: relative !important; }
+
+.box {
+  background-color: white;
+  border-radius: 6px;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+  color: #222222;
+  display: block;
+  padding: 1.25rem; }
+
+a.box:hover, a.box:focus {
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px #2e63b8; }
+
+a.box:active {
+  box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2), 0 0 0 1px #2e63b8; }
+
+.button {
+  background-color: white;
+  border-color: #dbdbdb;
+  border-width: 1px;
+  color: #363636;
+  cursor: pointer;
+  justify-content: center;
+  padding-bottom: calc(0.375em - 1px);
+  padding-left: 0.75em;
+  padding-right: 0.75em;
+  padding-top: calc(0.375em - 1px);
+  text-align: center;
+  white-space: nowrap; }
+  .button strong {
+    color: inherit; }
+  .button .icon, .button .icon.is-small, .button #documenter .docs-sidebar form.docs-search > input.icon, #documenter .docs-sidebar .button form.docs-search > input.icon, .button .icon.is-medium, .button .icon.is-large {
+    height: 1.5em;
+    width: 1.5em; }
+  .button .icon:first-child:not(:last-child) {
+    margin-left: calc(-0.375em - 1px);
+    margin-right: 0.1875em; }
+  .button .icon:last-child:not(:first-child) {
+    margin-left: 0.1875em;
+    margin-right: calc(-0.375em - 1px); }
+  .button .icon:first-child:last-child {
+    margin-left: calc(-0.375em - 1px);
+    margin-right: calc(-0.375em - 1px); }
+  .button:hover, .button.is-hovered {
+    border-color: #b5b5b5;
+    color: #363636; }
+  .button:focus, .button.is-focused {
+    border-color: #3c5dcd;
+    color: #363636; }
+    .button:focus:not(:active), .button.is-focused:not(:active) {
+      box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .button:active, .button.is-active {
+    border-color: #4a4a4a;
+    color: #363636; }
+  .button.is-text {
+    background-color: transparent;
+    border-color: transparent;
+    color: #222222;
+    text-decoration: underline; }
+    .button.is-text:hover, .button.is-text.is-hovered, .button.is-text:focus, .button.is-text.is-focused {
+      background-color: whitesmoke;
+      color: #222222; }
+    .button.is-text:active, .button.is-text.is-active {
+      background-color: #e8e8e8;
+      color: #222222; }
+    .button.is-text[disabled], fieldset[disabled] .button.is-text {
+      background-color: transparent;
+      border-color: transparent;
+      box-shadow: none; }
+  .button.is-white {
+    background-color: white;
+    border-color: transparent;
+    color: #0a0a0a; }
+    .button.is-white:hover, .button.is-white.is-hovered {
+      background-color: #f9f9f9;
+      border-color: transparent;
+      color: #0a0a0a; }
+    .button.is-white:focus, .button.is-white.is-focused {
+      border-color: transparent;
+      color: #0a0a0a; }
+      .button.is-white:focus:not(:active), .button.is-white.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+    .button.is-white:active, .button.is-white.is-active {
+      background-color: #f2f2f2;
+      border-color: transparent;
+      color: #0a0a0a; }
+    .button.is-white[disabled], fieldset[disabled] .button.is-white {
+      background-color: white;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-white.is-inverted {
+      background-color: #0a0a0a;
+      color: white; }
+      .button.is-white.is-inverted:hover, .button.is-white.is-inverted.is-hovered {
+        background-color: black; }
+      .button.is-white.is-inverted[disabled], fieldset[disabled] .button.is-white.is-inverted {
+        background-color: #0a0a0a;
+        border-color: transparent;
+        box-shadow: none;
+        color: white; }
+    .button.is-white.is-loading::after {
+      border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+    .button.is-white.is-outlined {
+      background-color: transparent;
+      border-color: white;
+      color: white; }
+      .button.is-white.is-outlined:hover, .button.is-white.is-outlined.is-hovered, .button.is-white.is-outlined:focus, .button.is-white.is-outlined.is-focused {
+        background-color: white;
+        border-color: white;
+        color: #0a0a0a; }
+      .button.is-white.is-outlined.is-loading::after {
+        border-color: transparent transparent white white !important; }
+      .button.is-white.is-outlined.is-loading:hover::after, .button.is-white.is-outlined.is-loading.is-hovered::after, .button.is-white.is-outlined.is-loading:focus::after, .button.is-white.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      .button.is-white.is-outlined[disabled], fieldset[disabled] .button.is-white.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        box-shadow: none;
+        color: white; }
+    .button.is-white.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #0a0a0a;
+      color: #0a0a0a; }
+      .button.is-white.is-inverted.is-outlined:hover, .button.is-white.is-inverted.is-outlined.is-hovered, .button.is-white.is-inverted.is-outlined:focus, .button.is-white.is-inverted.is-outlined.is-focused {
+        background-color: #0a0a0a;
+        color: white; }
+      .button.is-white.is-inverted.is-outlined.is-loading:hover::after, .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-white.is-inverted.is-outlined.is-loading:focus::after, .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent white white !important; }
+      .button.is-white.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-white.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        box-shadow: none;
+        color: #0a0a0a; }
+  .button.is-black {
+    background-color: #0a0a0a;
+    border-color: transparent;
+    color: white; }
+    .button.is-black:hover, .button.is-black.is-hovered {
+      background-color: #040404;
+      border-color: transparent;
+      color: white; }
+    .button.is-black:focus, .button.is-black.is-focused {
+      border-color: transparent;
+      color: white; }
+      .button.is-black:focus:not(:active), .button.is-black.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+    .button.is-black:active, .button.is-black.is-active {
+      background-color: black;
+      border-color: transparent;
+      color: white; }
+    .button.is-black[disabled], fieldset[disabled] .button.is-black {
+      background-color: #0a0a0a;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-black.is-inverted {
+      background-color: white;
+      color: #0a0a0a; }
+      .button.is-black.is-inverted:hover, .button.is-black.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-black.is-inverted[disabled], fieldset[disabled] .button.is-black.is-inverted {
+        background-color: white;
+        border-color: transparent;
+        box-shadow: none;
+        color: #0a0a0a; }
+    .button.is-black.is-loading::after {
+      border-color: transparent transparent white white !important; }
+    .button.is-black.is-outlined {
+      background-color: transparent;
+      border-color: #0a0a0a;
+      color: #0a0a0a; }
+      .button.is-black.is-outlined:hover, .button.is-black.is-outlined.is-hovered, .button.is-black.is-outlined:focus, .button.is-black.is-outlined.is-focused {
+        background-color: #0a0a0a;
+        border-color: #0a0a0a;
+        color: white; }
+      .button.is-black.is-outlined.is-loading::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      .button.is-black.is-outlined.is-loading:hover::after, .button.is-black.is-outlined.is-loading.is-hovered::after, .button.is-black.is-outlined.is-loading:focus::after, .button.is-black.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent white white !important; }
+      .button.is-black.is-outlined[disabled], fieldset[disabled] .button.is-black.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        box-shadow: none;
+        color: #0a0a0a; }
+    .button.is-black.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: white;
+      color: white; }
+      .button.is-black.is-inverted.is-outlined:hover, .button.is-black.is-inverted.is-outlined.is-hovered, .button.is-black.is-inverted.is-outlined:focus, .button.is-black.is-inverted.is-outlined.is-focused {
+        background-color: white;
+        color: #0a0a0a; }
+      .button.is-black.is-inverted.is-outlined.is-loading:hover::after, .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-black.is-inverted.is-outlined.is-loading:focus::after, .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      .button.is-black.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-black.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        box-shadow: none;
+        color: white; }
+  .button.is-light {
+    background-color: whitesmoke;
+    border-color: transparent;
+    color: #363636; }
+    .button.is-light:hover, .button.is-light.is-hovered {
+      background-color: #eeeeee;
+      border-color: transparent;
+      color: #363636; }
+    .button.is-light:focus, .button.is-light.is-focused {
+      border-color: transparent;
+      color: #363636; }
+      .button.is-light:focus:not(:active), .button.is-light.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); }
+    .button.is-light:active, .button.is-light.is-active {
+      background-color: #e8e8e8;
+      border-color: transparent;
+      color: #363636; }
+    .button.is-light[disabled], fieldset[disabled] .button.is-light {
+      background-color: whitesmoke;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-light.is-inverted {
+      background-color: #363636;
+      color: whitesmoke; }
+      .button.is-light.is-inverted:hover, .button.is-light.is-inverted.is-hovered {
+        background-color: #292929; }
+      .button.is-light.is-inverted[disabled], fieldset[disabled] .button.is-light.is-inverted {
+        background-color: #363636;
+        border-color: transparent;
+        box-shadow: none;
+        color: whitesmoke; }
+    .button.is-light.is-loading::after {
+      border-color: transparent transparent #363636 #363636 !important; }
+    .button.is-light.is-outlined {
+      background-color: transparent;
+      border-color: whitesmoke;
+      color: whitesmoke; }
+      .button.is-light.is-outlined:hover, .button.is-light.is-outlined.is-hovered, .button.is-light.is-outlined:focus, .button.is-light.is-outlined.is-focused {
+        background-color: whitesmoke;
+        border-color: whitesmoke;
+        color: #363636; }
+      .button.is-light.is-outlined.is-loading::after {
+        border-color: transparent transparent whitesmoke whitesmoke !important; }
+      .button.is-light.is-outlined.is-loading:hover::after, .button.is-light.is-outlined.is-loading.is-hovered::after, .button.is-light.is-outlined.is-loading:focus::after, .button.is-light.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #363636 #363636 !important; }
+      .button.is-light.is-outlined[disabled], fieldset[disabled] .button.is-light.is-outlined {
+        background-color: transparent;
+        border-color: whitesmoke;
+        box-shadow: none;
+        color: whitesmoke; }
+    .button.is-light.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #363636;
+      color: #363636; }
+      .button.is-light.is-inverted.is-outlined:hover, .button.is-light.is-inverted.is-outlined.is-hovered, .button.is-light.is-inverted.is-outlined:focus, .button.is-light.is-inverted.is-outlined.is-focused {
+        background-color: #363636;
+        color: whitesmoke; }
+      .button.is-light.is-inverted.is-outlined.is-loading:hover::after, .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-light.is-inverted.is-outlined.is-loading:focus::after, .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent whitesmoke whitesmoke !important; }
+      .button.is-light.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-light.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #363636;
+        box-shadow: none;
+        color: #363636; }
+  .button.is-dark, .content kbd.button {
+    background-color: #363636;
+    border-color: transparent;
+    color: whitesmoke; }
+    .button.is-dark:hover, .content kbd.button:hover, .button.is-dark.is-hovered, .content kbd.button.is-hovered {
+      background-color: #2f2f2f;
+      border-color: transparent;
+      color: whitesmoke; }
+    .button.is-dark:focus, .content kbd.button:focus, .button.is-dark.is-focused, .content kbd.button.is-focused {
+      border-color: transparent;
+      color: whitesmoke; }
+      .button.is-dark:focus:not(:active), .content kbd.button:focus:not(:active), .button.is-dark.is-focused:not(:active), .content kbd.button.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); }
+    .button.is-dark:active, .content kbd.button:active, .button.is-dark.is-active, .content kbd.button.is-active {
+      background-color: #292929;
+      border-color: transparent;
+      color: whitesmoke; }
+    .button.is-dark[disabled], .content kbd.button[disabled], fieldset[disabled] .button.is-dark, fieldset[disabled] .content kbd.button, .content fieldset[disabled] kbd.button {
+      background-color: #363636;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-dark.is-inverted, .content kbd.button.is-inverted {
+      background-color: whitesmoke;
+      color: #363636; }
+      .button.is-dark.is-inverted:hover, .content kbd.button.is-inverted:hover, .button.is-dark.is-inverted.is-hovered, .content kbd.button.is-inverted.is-hovered {
+        background-color: #e8e8e8; }
+      .button.is-dark.is-inverted[disabled], .content kbd.button.is-inverted[disabled], fieldset[disabled] .button.is-dark.is-inverted, fieldset[disabled] .content kbd.button.is-inverted, .content fieldset[disabled] kbd.button.is-inverted {
+        background-color: whitesmoke;
+        border-color: transparent;
+        box-shadow: none;
+        color: #363636; }
+    .button.is-dark.is-loading::after, .content kbd.button.is-loading::after {
+      border-color: transparent transparent whitesmoke whitesmoke !important; }
+    .button.is-dark.is-outlined, .content kbd.button.is-outlined {
+      background-color: transparent;
+      border-color: #363636;
+      color: #363636; }
+      .button.is-dark.is-outlined:hover, .content kbd.button.is-outlined:hover, .button.is-dark.is-outlined.is-hovered, .content kbd.button.is-outlined.is-hovered, .button.is-dark.is-outlined:focus, .content kbd.button.is-outlined:focus, .button.is-dark.is-outlined.is-focused, .content kbd.button.is-outlined.is-focused {
+        background-color: #363636;
+        border-color: #363636;
+        color: whitesmoke; }
+      .button.is-dark.is-outlined.is-loading::after, .content kbd.button.is-outlined.is-loading::after {
+        border-color: transparent transparent #363636 #363636 !important; }
+      .button.is-dark.is-outlined.is-loading:hover::after, .content kbd.button.is-outlined.is-loading:hover::after, .button.is-dark.is-outlined.is-loading.is-hovered::after, .content kbd.button.is-outlined.is-loading.is-hovered::after, .button.is-dark.is-outlined.is-loading:focus::after, .content kbd.button.is-outlined.is-loading:focus::after, .button.is-dark.is-outlined.is-loading.is-focused::after, .content kbd.button.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent whitesmoke whitesmoke !important; }
+      .button.is-dark.is-outlined[disabled], .content kbd.button.is-outlined[disabled], fieldset[disabled] .button.is-dark.is-outlined, fieldset[disabled] .content kbd.button.is-outlined, .content fieldset[disabled] kbd.button.is-outlined {
+        background-color: transparent;
+        border-color: #363636;
+        box-shadow: none;
+        color: #363636; }
+    .button.is-dark.is-inverted.is-outlined, .content kbd.button.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: whitesmoke;
+      color: whitesmoke; }
+      .button.is-dark.is-inverted.is-outlined:hover, .content kbd.button.is-inverted.is-outlined:hover, .button.is-dark.is-inverted.is-outlined.is-hovered, .content kbd.button.is-inverted.is-outlined.is-hovered, .button.is-dark.is-inverted.is-outlined:focus, .content kbd.button.is-inverted.is-outlined:focus, .button.is-dark.is-inverted.is-outlined.is-focused, .content kbd.button.is-inverted.is-outlined.is-focused {
+        background-color: whitesmoke;
+        color: #363636; }
+      .button.is-dark.is-inverted.is-outlined.is-loading:hover::after, .content kbd.button.is-inverted.is-outlined.is-loading:hover::after, .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after, .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-dark.is-inverted.is-outlined.is-loading:focus::after, .content kbd.button.is-inverted.is-outlined.is-loading:focus::after, .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after, .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #363636 #363636 !important; }
+      .button.is-dark.is-inverted.is-outlined[disabled], .content kbd.button.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-dark.is-inverted.is-outlined, fieldset[disabled] .content kbd.button.is-inverted.is-outlined, .content fieldset[disabled] kbd.button.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: whitesmoke;
+        box-shadow: none;
+        color: whitesmoke; }
+  .button.is-primary, .docstring > section > a.button.docs-sourcelink {
+    background-color: #4eb5de;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-primary:hover, .docstring > section > a.button.docs-sourcelink:hover, .button.is-primary.is-hovered, .docstring > section > a.button.is-hovered.docs-sourcelink {
+      background-color: #43b1dc;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-primary:focus, .docstring > section > a.button.docs-sourcelink:focus, .button.is-primary.is-focused, .docstring > section > a.button.is-focused.docs-sourcelink {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-primary:focus:not(:active), .docstring > section > a.button.docs-sourcelink:focus:not(:active), .button.is-primary.is-focused:not(:active), .docstring > section > a.button.is-focused.docs-sourcelink:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); }
+    .button.is-primary:active, .docstring > section > a.button.docs-sourcelink:active, .button.is-primary.is-active, .docstring > section > a.button.is-active.docs-sourcelink {
+      background-color: #39acda;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-primary[disabled], .docstring > section > a.button.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary, fieldset[disabled] .docstring > section > a.button.docs-sourcelink {
+      background-color: #4eb5de;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-primary.is-inverted, .docstring > section > a.button.is-inverted.docs-sourcelink {
+      background-color: #fff;
+      color: #4eb5de; }
+      .button.is-primary.is-inverted:hover, .docstring > section > a.button.is-inverted.docs-sourcelink:hover, .button.is-primary.is-inverted.is-hovered, .docstring > section > a.button.is-inverted.is-hovered.docs-sourcelink {
+        background-color: #f2f2f2; }
+      .button.is-primary.is-inverted[disabled], .docstring > section > a.button.is-inverted.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-inverted, fieldset[disabled] .docstring > section > a.button.is-inverted.docs-sourcelink {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #4eb5de; }
+    .button.is-primary.is-loading::after, .docstring > section > a.button.is-loading.docs-sourcelink::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-primary.is-outlined, .docstring > section > a.button.is-outlined.docs-sourcelink {
+      background-color: transparent;
+      border-color: #4eb5de;
+      color: #4eb5de; }
+      .button.is-primary.is-outlined:hover, .docstring > section > a.button.is-outlined.docs-sourcelink:hover, .button.is-primary.is-outlined.is-hovered, .docstring > section > a.button.is-outlined.is-hovered.docs-sourcelink, .button.is-primary.is-outlined:focus, .docstring > section > a.button.is-outlined.docs-sourcelink:focus, .button.is-primary.is-outlined.is-focused, .docstring > section > a.button.is-outlined.is-focused.docs-sourcelink {
+        background-color: #4eb5de;
+        border-color: #4eb5de;
+        color: #fff; }
+      .button.is-primary.is-outlined.is-loading::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink::after {
+        border-color: transparent transparent #4eb5de #4eb5de !important; }
+      .button.is-primary.is-outlined.is-loading:hover::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:hover::after, .button.is-primary.is-outlined.is-loading.is-hovered::after, .docstring > section > a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after, .button.is-primary.is-outlined.is-loading:focus::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:focus::after, .button.is-primary.is-outlined.is-loading.is-focused::after, .docstring > section > a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-primary.is-outlined[disabled], .docstring > section > a.button.is-outlined.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-outlined, fieldset[disabled] .docstring > section > a.button.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #4eb5de;
+        box-shadow: none;
+        color: #4eb5de; }
+    .button.is-primary.is-inverted.is-outlined, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-primary.is-inverted.is-outlined:hover, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:hover, .button.is-primary.is-inverted.is-outlined.is-hovered, .docstring > section > a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink, .button.is-primary.is-inverted.is-outlined:focus, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:focus, .button.is-primary.is-inverted.is-outlined.is-focused, .docstring > section > a.button.is-inverted.is-outlined.is-focused.docs-sourcelink {
+        background-color: #fff;
+        color: #4eb5de; }
+      .button.is-primary.is-inverted.is-outlined.is-loading:hover::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after, .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after, .button.is-primary.is-inverted.is-outlined.is-loading:focus::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after, .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+        border-color: transparent transparent #4eb5de #4eb5de !important; }
+      .button.is-primary.is-inverted.is-outlined[disabled], .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-inverted.is-outlined, fieldset[disabled] .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-link {
+    background-color: #2e63b8;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-link:hover, .button.is-link.is-hovered {
+      background-color: #2b5eae;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-link:focus, .button.is-link.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-link:focus:not(:active), .button.is-link.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+    .button.is-link:active, .button.is-link.is-active {
+      background-color: #2958a4;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-link[disabled], fieldset[disabled] .button.is-link {
+      background-color: #2e63b8;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-link.is-inverted {
+      background-color: #fff;
+      color: #2e63b8; }
+      .button.is-link.is-inverted:hover, .button.is-link.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-link.is-inverted[disabled], fieldset[disabled] .button.is-link.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #2e63b8; }
+    .button.is-link.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-link.is-outlined {
+      background-color: transparent;
+      border-color: #2e63b8;
+      color: #2e63b8; }
+      .button.is-link.is-outlined:hover, .button.is-link.is-outlined.is-hovered, .button.is-link.is-outlined:focus, .button.is-link.is-outlined.is-focused {
+        background-color: #2e63b8;
+        border-color: #2e63b8;
+        color: #fff; }
+      .button.is-link.is-outlined.is-loading::after {
+        border-color: transparent transparent #2e63b8 #2e63b8 !important; }
+      .button.is-link.is-outlined.is-loading:hover::after, .button.is-link.is-outlined.is-loading.is-hovered::after, .button.is-link.is-outlined.is-loading:focus::after, .button.is-link.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-link.is-outlined[disabled], fieldset[disabled] .button.is-link.is-outlined {
+        background-color: transparent;
+        border-color: #2e63b8;
+        box-shadow: none;
+        color: #2e63b8; }
+    .button.is-link.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-link.is-inverted.is-outlined:hover, .button.is-link.is-inverted.is-outlined.is-hovered, .button.is-link.is-inverted.is-outlined:focus, .button.is-link.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #2e63b8; }
+      .button.is-link.is-inverted.is-outlined.is-loading:hover::after, .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-link.is-inverted.is-outlined.is-loading:focus::after, .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #2e63b8 #2e63b8 !important; }
+      .button.is-link.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-link.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-info {
+    background-color: #209cee;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-info:hover, .button.is-info.is-hovered {
+      background-color: #1497ed;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-info:focus, .button.is-info.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-info:focus:not(:active), .button.is-info.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); }
+    .button.is-info:active, .button.is-info.is-active {
+      background-color: #1190e3;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-info[disabled], fieldset[disabled] .button.is-info {
+      background-color: #209cee;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-info.is-inverted {
+      background-color: #fff;
+      color: #209cee; }
+      .button.is-info.is-inverted:hover, .button.is-info.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-info.is-inverted[disabled], fieldset[disabled] .button.is-info.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #209cee; }
+    .button.is-info.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-info.is-outlined {
+      background-color: transparent;
+      border-color: #209cee;
+      color: #209cee; }
+      .button.is-info.is-outlined:hover, .button.is-info.is-outlined.is-hovered, .button.is-info.is-outlined:focus, .button.is-info.is-outlined.is-focused {
+        background-color: #209cee;
+        border-color: #209cee;
+        color: #fff; }
+      .button.is-info.is-outlined.is-loading::after {
+        border-color: transparent transparent #209cee #209cee !important; }
+      .button.is-info.is-outlined.is-loading:hover::after, .button.is-info.is-outlined.is-loading.is-hovered::after, .button.is-info.is-outlined.is-loading:focus::after, .button.is-info.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-info.is-outlined[disabled], fieldset[disabled] .button.is-info.is-outlined {
+        background-color: transparent;
+        border-color: #209cee;
+        box-shadow: none;
+        color: #209cee; }
+    .button.is-info.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-info.is-inverted.is-outlined:hover, .button.is-info.is-inverted.is-outlined.is-hovered, .button.is-info.is-inverted.is-outlined:focus, .button.is-info.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #209cee; }
+      .button.is-info.is-inverted.is-outlined.is-loading:hover::after, .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-info.is-inverted.is-outlined.is-loading:focus::after, .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #209cee #209cee !important; }
+      .button.is-info.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-info.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-success {
+    background-color: #22c35b;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-success:hover, .button.is-success.is-hovered {
+      background-color: #20b856;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-success:focus, .button.is-success.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-success:focus:not(:active), .button.is-success.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); }
+    .button.is-success:active, .button.is-success.is-active {
+      background-color: #1ead51;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-success[disabled], fieldset[disabled] .button.is-success {
+      background-color: #22c35b;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-success.is-inverted {
+      background-color: #fff;
+      color: #22c35b; }
+      .button.is-success.is-inverted:hover, .button.is-success.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-success.is-inverted[disabled], fieldset[disabled] .button.is-success.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #22c35b; }
+    .button.is-success.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-success.is-outlined {
+      background-color: transparent;
+      border-color: #22c35b;
+      color: #22c35b; }
+      .button.is-success.is-outlined:hover, .button.is-success.is-outlined.is-hovered, .button.is-success.is-outlined:focus, .button.is-success.is-outlined.is-focused {
+        background-color: #22c35b;
+        border-color: #22c35b;
+        color: #fff; }
+      .button.is-success.is-outlined.is-loading::after {
+        border-color: transparent transparent #22c35b #22c35b !important; }
+      .button.is-success.is-outlined.is-loading:hover::after, .button.is-success.is-outlined.is-loading.is-hovered::after, .button.is-success.is-outlined.is-loading:focus::after, .button.is-success.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-success.is-outlined[disabled], fieldset[disabled] .button.is-success.is-outlined {
+        background-color: transparent;
+        border-color: #22c35b;
+        box-shadow: none;
+        color: #22c35b; }
+    .button.is-success.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-success.is-inverted.is-outlined:hover, .button.is-success.is-inverted.is-outlined.is-hovered, .button.is-success.is-inverted.is-outlined:focus, .button.is-success.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #22c35b; }
+      .button.is-success.is-inverted.is-outlined.is-loading:hover::after, .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-success.is-inverted.is-outlined.is-loading:focus::after, .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #22c35b #22c35b !important; }
+      .button.is-success.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-success.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-warning {
+    background-color: #ffdd57;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+    .button.is-warning:hover, .button.is-warning.is-hovered {
+      background-color: #ffda4a;
+      border-color: transparent;
+      color: rgba(0, 0, 0, 0.7); }
+    .button.is-warning:focus, .button.is-warning.is-focused {
+      border-color: transparent;
+      color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning:focus:not(:active), .button.is-warning.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); }
+    .button.is-warning:active, .button.is-warning.is-active {
+      background-color: #ffd83e;
+      border-color: transparent;
+      color: rgba(0, 0, 0, 0.7); }
+    .button.is-warning[disabled], fieldset[disabled] .button.is-warning {
+      background-color: #ffdd57;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-warning.is-inverted {
+      background-color: rgba(0, 0, 0, 0.7);
+      color: #ffdd57; }
+      .button.is-warning.is-inverted:hover, .button.is-warning.is-inverted.is-hovered {
+        background-color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning.is-inverted[disabled], fieldset[disabled] .button.is-warning.is-inverted {
+        background-color: rgba(0, 0, 0, 0.7);
+        border-color: transparent;
+        box-shadow: none;
+        color: #ffdd57; }
+    .button.is-warning.is-loading::after {
+      border-color: transparent transparent rgba(0, 0, 0, 0.7) rgba(0, 0, 0, 0.7) !important; }
+    .button.is-warning.is-outlined {
+      background-color: transparent;
+      border-color: #ffdd57;
+      color: #ffdd57; }
+      .button.is-warning.is-outlined:hover, .button.is-warning.is-outlined.is-hovered, .button.is-warning.is-outlined:focus, .button.is-warning.is-outlined.is-focused {
+        background-color: #ffdd57;
+        border-color: #ffdd57;
+        color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning.is-outlined.is-loading::after {
+        border-color: transparent transparent #ffdd57 #ffdd57 !important; }
+      .button.is-warning.is-outlined.is-loading:hover::after, .button.is-warning.is-outlined.is-loading.is-hovered::after, .button.is-warning.is-outlined.is-loading:focus::after, .button.is-warning.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent rgba(0, 0, 0, 0.7) rgba(0, 0, 0, 0.7) !important; }
+      .button.is-warning.is-outlined[disabled], fieldset[disabled] .button.is-warning.is-outlined {
+        background-color: transparent;
+        border-color: #ffdd57;
+        box-shadow: none;
+        color: #ffdd57; }
+    .button.is-warning.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: rgba(0, 0, 0, 0.7);
+      color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning.is-inverted.is-outlined:hover, .button.is-warning.is-inverted.is-outlined.is-hovered, .button.is-warning.is-inverted.is-outlined:focus, .button.is-warning.is-inverted.is-outlined.is-focused {
+        background-color: rgba(0, 0, 0, 0.7);
+        color: #ffdd57; }
+      .button.is-warning.is-inverted.is-outlined.is-loading:hover::after, .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-warning.is-inverted.is-outlined.is-loading:focus::after, .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #ffdd57 #ffdd57 !important; }
+      .button.is-warning.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-warning.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: rgba(0, 0, 0, 0.7);
+        box-shadow: none;
+        color: rgba(0, 0, 0, 0.7); }
+  .button.is-danger {
+    background-color: #da0b00;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-danger:hover, .button.is-danger.is-hovered {
+      background-color: #cd0a00;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-danger:focus, .button.is-danger.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-danger:focus:not(:active), .button.is-danger.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); }
+    .button.is-danger:active, .button.is-danger.is-active {
+      background-color: #c10a00;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-danger[disabled], fieldset[disabled] .button.is-danger {
+      background-color: #da0b00;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-danger.is-inverted {
+      background-color: #fff;
+      color: #da0b00; }
+      .button.is-danger.is-inverted:hover, .button.is-danger.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-danger.is-inverted[disabled], fieldset[disabled] .button.is-danger.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #da0b00; }
+    .button.is-danger.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-danger.is-outlined {
+      background-color: transparent;
+      border-color: #da0b00;
+      color: #da0b00; }
+      .button.is-danger.is-outlined:hover, .button.is-danger.is-outlined.is-hovered, .button.is-danger.is-outlined:focus, .button.is-danger.is-outlined.is-focused {
+        background-color: #da0b00;
+        border-color: #da0b00;
+        color: #fff; }
+      .button.is-danger.is-outlined.is-loading::after {
+        border-color: transparent transparent #da0b00 #da0b00 !important; }
+      .button.is-danger.is-outlined.is-loading:hover::after, .button.is-danger.is-outlined.is-loading.is-hovered::after, .button.is-danger.is-outlined.is-loading:focus::after, .button.is-danger.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-danger.is-outlined[disabled], fieldset[disabled] .button.is-danger.is-outlined {
+        background-color: transparent;
+        border-color: #da0b00;
+        box-shadow: none;
+        color: #da0b00; }
+    .button.is-danger.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-danger.is-inverted.is-outlined:hover, .button.is-danger.is-inverted.is-outlined.is-hovered, .button.is-danger.is-inverted.is-outlined:focus, .button.is-danger.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #da0b00; }
+      .button.is-danger.is-inverted.is-outlined.is-loading:hover::after, .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-danger.is-inverted.is-outlined.is-loading:focus::after, .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #da0b00 #da0b00 !important; }
+      .button.is-danger.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-danger.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-small, #documenter .docs-sidebar form.docs-search > input.button {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .button.is-normal {
+    font-size: 1rem; }
+  .button.is-medium {
+    font-size: 1.25rem; }
+  .button.is-large {
+    font-size: 1.5rem; }
+  .button[disabled], fieldset[disabled] .button {
+    background-color: white;
+    border-color: #dbdbdb;
+    box-shadow: none;
+    opacity: 0.5; }
+  .button.is-fullwidth {
+    display: flex;
+    width: 100%; }
+  .button.is-loading {
+    color: transparent !important;
+    pointer-events: none; }
+    .button.is-loading::after {
+      position: absolute;
+      left: calc(50% - (1em / 2));
+      top: calc(50% - (1em / 2));
+      position: absolute !important; }
+  .button.is-static {
+    background-color: whitesmoke;
+    border-color: #dbdbdb;
+    color: #6b6b6b;
+    box-shadow: none;
+    pointer-events: none; }
+  .button.is-rounded, #documenter .docs-sidebar form.docs-search > input.button {
+    border-radius: 290486px;
+    padding-left: 1em;
+    padding-right: 1em; }
+
+.buttons {
+  align-items: center;
+  display: flex;
+  flex-wrap: wrap;
+  justify-content: flex-start; }
+  .buttons .button {
+    margin-bottom: 0.5rem; }
+    .buttons .button:not(:last-child):not(.is-fullwidth) {
+      margin-right: 0.5rem; }
+  .buttons:last-child {
+    margin-bottom: -0.5rem; }
+  .buttons:not(:last-child) {
+    margin-bottom: 1rem; }
+  .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large) {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large) {
+    font-size: 1.25rem; }
+  .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium) {
+    font-size: 1.5rem; }
+  .buttons.has-addons .button:not(:first-child) {
+    border-bottom-left-radius: 0;
+    border-top-left-radius: 0; }
+  .buttons.has-addons .button:not(:last-child) {
+    border-bottom-right-radius: 0;
+    border-top-right-radius: 0;
+    margin-right: -1px; }
+  .buttons.has-addons .button:last-child {
+    margin-right: 0; }
+  .buttons.has-addons .button:hover, .buttons.has-addons .button.is-hovered {
+    z-index: 2; }
+  .buttons.has-addons .button:focus, .buttons.has-addons .button.is-focused, .buttons.has-addons .button:active, .buttons.has-addons .button.is-active, .buttons.has-addons .button.is-selected {
+    z-index: 3; }
+    .buttons.has-addons .button:focus:hover, .buttons.has-addons .button.is-focused:hover, .buttons.has-addons .button:active:hover, .buttons.has-addons .button.is-active:hover, .buttons.has-addons .button.is-selected:hover {
+      z-index: 4; }
+  .buttons.has-addons .button.is-expanded {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .buttons.is-centered {
+    justify-content: center; }
+    .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth) {
+      margin-left: 0.25rem;
+      margin-right: 0.25rem; }
+  .buttons.is-right {
+    justify-content: flex-end; }
+    .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth) {
+      margin-left: 0.25rem;
+      margin-right: 0.25rem; }
+
+.container {
+  flex-grow: 1;
+  margin: 0 auto;
+  position: relative;
+  width: auto; }
+  @media screen and (min-width: 1056px) {
+    .container {
+      max-width: 992px; }
+      .container.is-fluid {
+        margin-left: 32px;
+        margin-right: 32px;
+        max-width: none; } }
+  @media screen and (max-width: 1215px) {
+    .container.is-widescreen {
+      max-width: 1152px; } }
+  @media screen and (max-width: 1407px) {
+    .container.is-fullhd {
+      max-width: 1344px; } }
+  @media screen and (min-width: 1216px) {
+    .container {
+      max-width: 1152px; } }
+  @media screen and (min-width: 1408px) {
+    .container {
+      max-width: 1344px; } }
+.content li + li {
+  margin-top: 0.25em; }
+
+.content p:not(:last-child),
+.content dl:not(:last-child),
+.content ol:not(:last-child),
+.content ul:not(:last-child),
+.content blockquote:not(:last-child),
+.content pre:not(:last-child),
+.content table:not(:last-child) {
+  margin-bottom: 1em; }
+
+.content h1,
+.content h2,
+.content h3,
+.content h4,
+.content h5,
+.content h6 {
+  color: #222222;
+  font-weight: 600;
+  line-height: 1.125; }
+
+.content h1 {
+  font-size: 2em;
+  margin-bottom: 0.5em; }
+  .content h1:not(:first-child) {
+    margin-top: 1em; }
+
+.content h2 {
+  font-size: 1.75em;
+  margin-bottom: 0.5714em; }
+  .content h2:not(:first-child) {
+    margin-top: 1.1428em; }
+
+.content h3 {
+  font-size: 1.5em;
+  margin-bottom: 0.6666em; }
+  .content h3:not(:first-child) {
+    margin-top: 1.3333em; }
+
+.content h4 {
+  font-size: 1.25em;
+  margin-bottom: 0.8em; }
+
+.content h5 {
+  font-size: 1.125em;
+  margin-bottom: 0.8888em; }
+
+.content h6 {
+  font-size: 1em;
+  margin-bottom: 1em; }
+
+.content blockquote {
+  background-color: whitesmoke;
+  border-left: 5px solid #dbdbdb;
+  padding: 1.25em 1.5em; }
+
+.content ol {
+  list-style-position: outside;
+  margin-left: 2em;
+  margin-top: 1em; }
+  .content ol:not([type]) {
+    list-style-type: decimal; }
+    .content ol.is-lower-alpha:not([type]) {
+      list-style-type: lower-alpha; }
+    .content ol.is-lower-roman:not([type]) {
+      list-style-type: lower-roman; }
+    .content ol.is-upper-alpha:not([type]) {
+      list-style-type: upper-alpha; }
+    .content ol.is-upper-roman:not([type]) {
+      list-style-type: upper-roman; }
+
+.content ul {
+  list-style: disc outside;
+  margin-left: 2em;
+  margin-top: 1em; }
+  .content ul ul {
+    list-style-type: circle;
+    margin-top: 0.5em; }
+    .content ul ul ul {
+      list-style-type: square; }
+
+.content dd {
+  margin-left: 2em; }
+
+.content figure {
+  margin-left: 2em;
+  margin-right: 2em;
+  text-align: center; }
+  .content figure:not(:first-child) {
+    margin-top: 2em; }
+  .content figure:not(:last-child) {
+    margin-bottom: 2em; }
+  .content figure img {
+    display: inline-block; }
+  .content figure figcaption {
+    font-style: italic; }
+
+.content pre {
+  -webkit-overflow-scrolling: touch;
+  overflow-x: auto;
+  padding: 0;
+  white-space: pre;
+  word-wrap: normal; }
+
+.content sup,
+.content sub {
+  font-size: 75%; }
+
+.content table {
+  width: 100%; }
+  .content table td,
+  .content table th {
+    border: 1px solid #dbdbdb;
+    border-width: 0 0 1px;
+    padding: 0.5em 0.75em;
+    vertical-align: top; }
+  .content table th {
+    color: #222222; }
+    .content table th:not([align]) {
+      text-align: left; }
+  .content table thead td,
+  .content table thead th {
+    border-width: 0 0 2px;
+    color: #222222; }
+  .content table tfoot td,
+  .content table tfoot th {
+    border-width: 2px 0 0;
+    color: #222222; }
+  .content table tbody tr:last-child td,
+  .content table tbody tr:last-child th {
+    border-bottom-width: 0; }
+
+.content .tabs li + li {
+  margin-top: 0; }
+
+.content.is-small, #documenter .docs-sidebar form.docs-search > input.content {
+  font-size: 0.75rem; }
+
+.content.is-medium {
+  font-size: 1.25rem; }
+
+.content.is-large {
+  font-size: 1.5rem; }
+
+.icon {
+  align-items: center;
+  display: inline-flex;
+  justify-content: center;
+  height: 1.5rem;
+  width: 1.5rem; }
+  .icon.is-small, #documenter .docs-sidebar form.docs-search > input.icon {
+    height: 1rem;
+    width: 1rem; }
+  .icon.is-medium {
+    height: 2rem;
+    width: 2rem; }
+  .icon.is-large {
+    height: 3rem;
+    width: 3rem; }
+
+.image, #documenter .docs-sidebar .docs-logo > img {
+  display: block;
+  position: relative; }
+  .image img, #documenter .docs-sidebar .docs-logo > img img {
+    display: block;
+    height: auto;
+    width: 100%; }
+    .image img.is-rounded, #documenter .docs-sidebar .docs-logo > img img.is-rounded {
+      border-radius: 290486px; }
+  .image.is-square img, #documenter .docs-sidebar .docs-logo > img.is-square img,
+  .image.is-square .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, .image.is-1by1 img, #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+  .image.is-1by1 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, .image.is-5by4 img, #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+  .image.is-5by4 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, .image.is-4by3 img, #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+  .image.is-4by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, .image.is-3by2 img, #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+  .image.is-3by2 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, .image.is-5by3 img, #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+  .image.is-5by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, .image.is-16by9 img, #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+  .image.is-16by9 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, .image.is-2by1 img, #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+  .image.is-2by1 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, .image.is-3by1 img, #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+  .image.is-3by1 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, .image.is-4by5 img, #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+  .image.is-4by5 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, .image.is-3by4 img, #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+  .image.is-3by4 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, .image.is-2by3 img, #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+  .image.is-2by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, .image.is-3by5 img, #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+  .image.is-3by5 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, .image.is-9by16 img, #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+  .image.is-9by16 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, .image.is-1by2 img, #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+  .image.is-1by2 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, .image.is-1by3 img, #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+  .image.is-1by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio {
+    height: 100%;
+    width: 100%; }
+  .image.is-square, #documenter .docs-sidebar .docs-logo > img.is-square, .image.is-1by1, #documenter .docs-sidebar .docs-logo > img.is-1by1 {
+    padding-top: 100%; }
+  .image.is-5by4, #documenter .docs-sidebar .docs-logo > img.is-5by4 {
+    padding-top: 80%; }
+  .image.is-4by3, #documenter .docs-sidebar .docs-logo > img.is-4by3 {
+    padding-top: 75%; }
+  .image.is-3by2, #documenter .docs-sidebar .docs-logo > img.is-3by2 {
+    padding-top: 66.6666%; }
+  .image.is-5by3, #documenter .docs-sidebar .docs-logo > img.is-5by3 {
+    padding-top: 60%; }
+  .image.is-16by9, #documenter .docs-sidebar .docs-logo > img.is-16by9 {
+    padding-top: 56.25%; }
+  .image.is-2by1, #documenter .docs-sidebar .docs-logo > img.is-2by1 {
+    padding-top: 50%; }
+  .image.is-3by1, #documenter .docs-sidebar .docs-logo > img.is-3by1 {
+    padding-top: 33.3333%; }
+  .image.is-4by5, #documenter .docs-sidebar .docs-logo > img.is-4by5 {
+    padding-top: 125%; }
+  .image.is-3by4, #documenter .docs-sidebar .docs-logo > img.is-3by4 {
+    padding-top: 133.3333%; }
+  .image.is-2by3, #documenter .docs-sidebar .docs-logo > img.is-2by3 {
+    padding-top: 150%; }
+  .image.is-3by5, #documenter .docs-sidebar .docs-logo > img.is-3by5 {
+    padding-top: 166.6666%; }
+  .image.is-9by16, #documenter .docs-sidebar .docs-logo > img.is-9by16 {
+    padding-top: 177.7777%; }
+  .image.is-1by2, #documenter .docs-sidebar .docs-logo > img.is-1by2 {
+    padding-top: 200%; }
+  .image.is-1by3, #documenter .docs-sidebar .docs-logo > img.is-1by3 {
+    padding-top: 300%; }
+  .image.is-16x16, #documenter .docs-sidebar .docs-logo > img.is-16x16 {
+    height: 16px;
+    width: 16px; }
+  .image.is-24x24, #documenter .docs-sidebar .docs-logo > img.is-24x24 {
+    height: 24px;
+    width: 24px; }
+  .image.is-32x32, #documenter .docs-sidebar .docs-logo > img.is-32x32 {
+    height: 32px;
+    width: 32px; }
+  .image.is-48x48, #documenter .docs-sidebar .docs-logo > img.is-48x48 {
+    height: 48px;
+    width: 48px; }
+  .image.is-64x64, #documenter .docs-sidebar .docs-logo > img.is-64x64 {
+    height: 64px;
+    width: 64px; }
+  .image.is-96x96, #documenter .docs-sidebar .docs-logo > img.is-96x96 {
+    height: 96px;
+    width: 96px; }
+  .image.is-128x128, #documenter .docs-sidebar .docs-logo > img.is-128x128 {
+    height: 128px;
+    width: 128px; }
+
+.notification {
+  background-color: whitesmoke;
+  border-radius: 4px;
+  padding: 1.25rem 2.5rem 1.25rem 1.5rem;
+  position: relative; }
+  .notification a:not(.button):not(.dropdown-item) {
+    color: currentColor;
+    text-decoration: underline; }
+  .notification strong {
+    color: currentColor; }
+  .notification code,
+  .notification pre {
+    background: white; }
+  .notification pre code {
+    background: transparent; }
+  .notification > .delete {
+    position: absolute;
+    right: 0.5rem;
+    top: 0.5rem; }
+  .notification .title,
+  .notification .subtitle,
+  .notification .content {
+    color: currentColor; }
+  .notification.is-white {
+    background-color: white;
+    color: #0a0a0a; }
+  .notification.is-black {
+    background-color: #0a0a0a;
+    color: white; }
+  .notification.is-light {
+    background-color: whitesmoke;
+    color: #363636; }
+  .notification.is-dark, .content kbd.notification {
+    background-color: #363636;
+    color: whitesmoke; }
+  .notification.is-primary, .docstring > section > a.notification.docs-sourcelink {
+    background-color: #4eb5de;
+    color: #fff; }
+  .notification.is-link {
+    background-color: #2e63b8;
+    color: #fff; }
+  .notification.is-info {
+    background-color: #209cee;
+    color: #fff; }
+  .notification.is-success {
+    background-color: #22c35b;
+    color: #fff; }
+  .notification.is-warning {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+  .notification.is-danger {
+    background-color: #da0b00;
+    color: #fff; }
+
+.progress {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  border: none;
+  border-radius: 290486px;
+  display: block;
+  height: 1rem;
+  overflow: hidden;
+  padding: 0;
+  width: 100%; }
+  .progress::-webkit-progress-bar {
+    background-color: #dbdbdb; }
+  .progress::-webkit-progress-value {
+    background-color: #222222; }
+  .progress::-moz-progress-bar {
+    background-color: #222222; }
+  .progress::-ms-fill {
+    background-color: #222222;
+    border: none; }
+  .progress.is-white::-webkit-progress-value {
+    background-color: white; }
+  .progress.is-white::-moz-progress-bar {
+    background-color: white; }
+  .progress.is-white::-ms-fill {
+    background-color: white; }
+  .progress.is-white:indeterminate {
+    background-image: linear-gradient(to right, white 30%, #dbdbdb 30%); }
+  .progress.is-black::-webkit-progress-value {
+    background-color: #0a0a0a; }
+  .progress.is-black::-moz-progress-bar {
+    background-color: #0a0a0a; }
+  .progress.is-black::-ms-fill {
+    background-color: #0a0a0a; }
+  .progress.is-black:indeterminate {
+    background-image: linear-gradient(to right, #0a0a0a 30%, #dbdbdb 30%); }
+  .progress.is-light::-webkit-progress-value {
+    background-color: whitesmoke; }
+  .progress.is-light::-moz-progress-bar {
+    background-color: whitesmoke; }
+  .progress.is-light::-ms-fill {
+    background-color: whitesmoke; }
+  .progress.is-light:indeterminate {
+    background-image: linear-gradient(to right, whitesmoke 30%, #dbdbdb 30%); }
+  .progress.is-dark::-webkit-progress-value, .content kbd.progress::-webkit-progress-value {
+    background-color: #363636; }
+  .progress.is-dark::-moz-progress-bar, .content kbd.progress::-moz-progress-bar {
+    background-color: #363636; }
+  .progress.is-dark::-ms-fill, .content kbd.progress::-ms-fill {
+    background-color: #363636; }
+  .progress.is-dark:indeterminate, .content kbd.progress:indeterminate {
+    background-image: linear-gradient(to right, #363636 30%, #dbdbdb 30%); }
+  .progress.is-primary::-webkit-progress-value, .docstring > section > a.progress.docs-sourcelink::-webkit-progress-value {
+    background-color: #4eb5de; }
+  .progress.is-primary::-moz-progress-bar, .docstring > section > a.progress.docs-sourcelink::-moz-progress-bar {
+    background-color: #4eb5de; }
+  .progress.is-primary::-ms-fill, .docstring > section > a.progress.docs-sourcelink::-ms-fill {
+    background-color: #4eb5de; }
+  .progress.is-primary:indeterminate, .docstring > section > a.progress.docs-sourcelink:indeterminate {
+    background-image: linear-gradient(to right, #4eb5de 30%, #dbdbdb 30%); }
+  .progress.is-link::-webkit-progress-value {
+    background-color: #2e63b8; }
+  .progress.is-link::-moz-progress-bar {
+    background-color: #2e63b8; }
+  .progress.is-link::-ms-fill {
+    background-color: #2e63b8; }
+  .progress.is-link:indeterminate {
+    background-image: linear-gradient(to right, #2e63b8 30%, #dbdbdb 30%); }
+  .progress.is-info::-webkit-progress-value {
+    background-color: #209cee; }
+  .progress.is-info::-moz-progress-bar {
+    background-color: #209cee; }
+  .progress.is-info::-ms-fill {
+    background-color: #209cee; }
+  .progress.is-info:indeterminate {
+    background-image: linear-gradient(to right, #209cee 30%, #dbdbdb 30%); }
+  .progress.is-success::-webkit-progress-value {
+    background-color: #22c35b; }
+  .progress.is-success::-moz-progress-bar {
+    background-color: #22c35b; }
+  .progress.is-success::-ms-fill {
+    background-color: #22c35b; }
+  .progress.is-success:indeterminate {
+    background-image: linear-gradient(to right, #22c35b 30%, #dbdbdb 30%); }
+  .progress.is-warning::-webkit-progress-value {
+    background-color: #ffdd57; }
+  .progress.is-warning::-moz-progress-bar {
+    background-color: #ffdd57; }
+  .progress.is-warning::-ms-fill {
+    background-color: #ffdd57; }
+  .progress.is-warning:indeterminate {
+    background-image: linear-gradient(to right, #ffdd57 30%, #dbdbdb 30%); }
+  .progress.is-danger::-webkit-progress-value {
+    background-color: #da0b00; }
+  .progress.is-danger::-moz-progress-bar {
+    background-color: #da0b00; }
+  .progress.is-danger::-ms-fill {
+    background-color: #da0b00; }
+  .progress.is-danger:indeterminate {
+    background-image: linear-gradient(to right, #da0b00 30%, #dbdbdb 30%); }
+  .progress:indeterminate {
+    animation-duration: 1.5s;
+    animation-iteration-count: infinite;
+    animation-name: moveIndeterminate;
+    animation-timing-function: linear;
+    background-color: #dbdbdb;
+    background-image: linear-gradient(to right, #222222 30%, #dbdbdb 30%);
+    background-position: top left;
+    background-repeat: no-repeat;
+    background-size: 150% 150%; }
+    .progress:indeterminate::-webkit-progress-bar {
+      background-color: transparent; }
+    .progress:indeterminate::-moz-progress-bar {
+      background-color: transparent; }
+  .progress.is-small, #documenter .docs-sidebar form.docs-search > input.progress {
+    height: 0.75rem; }
+  .progress.is-medium {
+    height: 1.25rem; }
+  .progress.is-large {
+    height: 1.5rem; }
+
+@keyframes moveIndeterminate {
+  from {
+    background-position: 200% 0; }
+  to {
+    background-position: -200% 0; } }
+
+.table {
+  background-color: white;
+  color: #363636; }
+  .table td,
+  .table th {
+    border: 1px solid #dbdbdb;
+    border-width: 0 0 1px;
+    padding: 0.5em 0.75em;
+    vertical-align: top; }
+    .table td.is-white,
+    .table th.is-white {
+      background-color: white;
+      border-color: white;
+      color: #0a0a0a; }
+    .table td.is-black,
+    .table th.is-black {
+      background-color: #0a0a0a;
+      border-color: #0a0a0a;
+      color: white; }
+    .table td.is-light,
+    .table th.is-light {
+      background-color: whitesmoke;
+      border-color: whitesmoke;
+      color: #363636; }
+    .table td.is-dark,
+    .table th.is-dark {
+      background-color: #363636;
+      border-color: #363636;
+      color: whitesmoke; }
+    .table td.is-primary,
+    .table th.is-primary {
+      background-color: #4eb5de;
+      border-color: #4eb5de;
+      color: #fff; }
+    .table td.is-link,
+    .table th.is-link {
+      background-color: #2e63b8;
+      border-color: #2e63b8;
+      color: #fff; }
+    .table td.is-info,
+    .table th.is-info {
+      background-color: #209cee;
+      border-color: #209cee;
+      color: #fff; }
+    .table td.is-success,
+    .table th.is-success {
+      background-color: #22c35b;
+      border-color: #22c35b;
+      color: #fff; }
+    .table td.is-warning,
+    .table th.is-warning {
+      background-color: #ffdd57;
+      border-color: #ffdd57;
+      color: rgba(0, 0, 0, 0.7); }
+    .table td.is-danger,
+    .table th.is-danger {
+      background-color: #da0b00;
+      border-color: #da0b00;
+      color: #fff; }
+    .table td.is-narrow,
+    .table th.is-narrow {
+      white-space: nowrap;
+      width: 1%; }
+    .table td.is-selected,
+    .table th.is-selected {
+      background-color: #4eb5de;
+      color: #fff; }
+      .table td.is-selected a,
+      .table td.is-selected strong,
+      .table th.is-selected a,
+      .table th.is-selected strong {
+        color: currentColor; }
+  .table th {
+    color: #222222; }
+    .table th:not([align]) {
+      text-align: left; }
+  .table tr.is-selected {
+    background-color: #4eb5de;
+    color: #fff; }
+    .table tr.is-selected a,
+    .table tr.is-selected strong {
+      color: currentColor; }
+    .table tr.is-selected td,
+    .table tr.is-selected th {
+      border-color: #fff;
+      color: currentColor; }
+  .table thead {
+    background-color: transparent; }
+    .table thead td,
+    .table thead th {
+      border-width: 0 0 2px;
+      color: #222222; }
+  .table tfoot {
+    background-color: transparent; }
+    .table tfoot td,
+    .table tfoot th {
+      border-width: 2px 0 0;
+      color: #222222; }
+  .table tbody {
+    background-color: transparent; }
+    .table tbody tr:last-child td,
+    .table tbody tr:last-child th {
+      border-bottom-width: 0; }
+  .table.is-bordered td,
+  .table.is-bordered th {
+    border-width: 1px; }
+  .table.is-bordered tr:last-child td,
+  .table.is-bordered tr:last-child th {
+    border-bottom-width: 1px; }
+  .table.is-fullwidth {
+    width: 100%; }
+  .table.is-hoverable tbody tr:not(.is-selected):hover {
+    background-color: #fafafa; }
+  .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover {
+    background-color: #fafafa; }
+    .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover:nth-child(even) {
+      background-color: whitesmoke; }
+  .table.is-narrow td,
+  .table.is-narrow th {
+    padding: 0.25em 0.5em; }
+  .table.is-striped tbody tr:not(.is-selected):nth-child(even) {
+    background-color: #fafafa; }
+
+.table-container {
+  -webkit-overflow-scrolling: touch;
+  overflow: auto;
+  overflow-y: hidden;
+  max-width: 100%; }
+
+.tags {
+  align-items: center;
+  display: flex;
+  flex-wrap: wrap;
+  justify-content: flex-start; }
+  .tags .tag, .tags .content kbd, .content .tags kbd, .tags .docstring > section > a.docs-sourcelink {
+    margin-bottom: 0.5rem; }
+    .tags .tag:not(:last-child), .tags .content kbd:not(:last-child), .content .tags kbd:not(:last-child), .tags .docstring > section > a.docs-sourcelink:not(:last-child) {
+      margin-right: 0.5rem; }
+  .tags:last-child {
+    margin-bottom: -0.5rem; }
+  .tags:not(:last-child) {
+    margin-bottom: 1rem; }
+  .tags.are-medium .tag:not(.is-normal):not(.is-large), .tags.are-medium .content kbd:not(.is-normal):not(.is-large), .content .tags.are-medium kbd:not(.is-normal):not(.is-large), .tags.are-medium .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-large) {
+    font-size: 1rem; }
+  .tags.are-large .tag:not(.is-normal):not(.is-medium), .tags.are-large .content kbd:not(.is-normal):not(.is-medium), .content .tags.are-large kbd:not(.is-normal):not(.is-medium), .tags.are-large .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-medium) {
+    font-size: 1.25rem; }
+  .tags.is-centered {
+    justify-content: center; }
+    .tags.is-centered .tag, .tags.is-centered .content kbd, .content .tags.is-centered kbd, .tags.is-centered .docstring > section > a.docs-sourcelink {
+      margin-right: 0.25rem;
+      margin-left: 0.25rem; }
+  .tags.is-right {
+    justify-content: flex-end; }
+    .tags.is-right .tag:not(:first-child), .tags.is-right .content kbd:not(:first-child), .content .tags.is-right kbd:not(:first-child), .tags.is-right .docstring > section > a.docs-sourcelink:not(:first-child) {
+      margin-left: 0.5rem; }
+    .tags.is-right .tag:not(:last-child), .tags.is-right .content kbd:not(:last-child), .content .tags.is-right kbd:not(:last-child), .tags.is-right .docstring > section > a.docs-sourcelink:not(:last-child) {
+      margin-right: 0; }
+  .tags.has-addons .tag, .tags.has-addons .content kbd, .content .tags.has-addons kbd, .tags.has-addons .docstring > section > a.docs-sourcelink {
+    margin-right: 0; }
+    .tags.has-addons .tag:not(:first-child), .tags.has-addons .content kbd:not(:first-child), .content .tags.has-addons kbd:not(:first-child), .tags.has-addons .docstring > section > a.docs-sourcelink:not(:first-child) {
+      margin-left: 0;
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    .tags.has-addons .tag:not(:last-child), .tags.has-addons .content kbd:not(:last-child), .content .tags.has-addons kbd:not(:last-child), .tags.has-addons .docstring > section > a.docs-sourcelink:not(:last-child) {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0; }
+
+.tag:not(body), .content kbd:not(body), .docstring > section > a.docs-sourcelink:not(body) {
+  align-items: center;
+  background-color: whitesmoke;
+  border-radius: 4px;
+  color: #222222;
+  display: inline-flex;
+  font-size: 0.75rem;
+  height: 2em;
+  justify-content: center;
+  line-height: 1.5;
+  padding-left: 0.75em;
+  padding-right: 0.75em;
+  white-space: nowrap; }
+  .tag:not(body) .delete, .content kbd:not(body) .delete, .docstring > section > a.docs-sourcelink:not(body) .delete {
+    margin-left: 0.25rem;
+    margin-right: -0.375rem; }
+  .tag.is-white:not(body), .content kbd.is-white:not(body), .docstring > section > a.docs-sourcelink.is-white:not(body) {
+    background-color: white;
+    color: #0a0a0a; }
+  .tag.is-black:not(body), .content kbd.is-black:not(body), .docstring > section > a.docs-sourcelink.is-black:not(body) {
+    background-color: #0a0a0a;
+    color: white; }
+  .tag.is-light:not(body), .content kbd.is-light:not(body), .docstring > section > a.docs-sourcelink.is-light:not(body) {
+    background-color: whitesmoke;
+    color: #363636; }
+  .tag.is-dark:not(body), .content kbd:not(body), .docstring > section > a.docs-sourcelink.is-dark:not(body), .content .docstring > section > kbd:not(body) {
+    background-color: #363636;
+    color: whitesmoke; }
+  .tag.is-primary:not(body), .content kbd.is-primary:not(body), .docstring > section > a.docs-sourcelink:not(body) {
+    background-color: #4eb5de;
+    color: #fff; }
+  .tag.is-link:not(body), .content kbd.is-link:not(body), .docstring > section > a.docs-sourcelink.is-link:not(body) {
+    background-color: #2e63b8;
+    color: #fff; }
+  .tag.is-info:not(body), .content kbd.is-info:not(body), .docstring > section > a.docs-sourcelink.is-info:not(body) {
+    background-color: #209cee;
+    color: #fff; }
+  .tag.is-success:not(body), .content kbd.is-success:not(body), .docstring > section > a.docs-sourcelink.is-success:not(body) {
+    background-color: #22c35b;
+    color: #fff; }
+  .tag.is-warning:not(body), .content kbd.is-warning:not(body), .docstring > section > a.docs-sourcelink.is-warning:not(body) {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+  .tag.is-danger:not(body), .content kbd.is-danger:not(body), .docstring > section > a.docs-sourcelink.is-danger:not(body) {
+    background-color: #da0b00;
+    color: #fff; }
+  .tag.is-normal:not(body), .content kbd.is-normal:not(body), .docstring > section > a.docs-sourcelink.is-normal:not(body) {
+    font-size: 0.75rem; }
+  .tag.is-medium:not(body), .content kbd.is-medium:not(body), .docstring > section > a.docs-sourcelink.is-medium:not(body) {
+    font-size: 1rem; }
+  .tag.is-large:not(body), .content kbd.is-large:not(body), .docstring > section > a.docs-sourcelink.is-large:not(body) {
+    font-size: 1.25rem; }
+  .tag:not(body) .icon:first-child:not(:last-child), .content kbd:not(body) .icon:first-child:not(:last-child), .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:not(:last-child) {
+    margin-left: -0.375em;
+    margin-right: 0.1875em; }
+  .tag:not(body) .icon:last-child:not(:first-child), .content kbd:not(body) .icon:last-child:not(:first-child), .docstring > section > a.docs-sourcelink:not(body) .icon:last-child:not(:first-child) {
+    margin-left: 0.1875em;
+    margin-right: -0.375em; }
+  .tag:not(body) .icon:first-child:last-child, .content kbd:not(body) .icon:first-child:last-child, .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:last-child {
+    margin-left: -0.375em;
+    margin-right: -0.375em; }
+  .tag.is-delete:not(body), .content kbd.is-delete:not(body), .docstring > section > a.docs-sourcelink.is-delete:not(body) {
+    margin-left: 1px;
+    padding: 0;
+    position: relative;
+    width: 2em; }
+    .tag.is-delete:not(body)::before, .content kbd.is-delete:not(body)::before, .docstring > section > a.docs-sourcelink.is-delete:not(body)::before, .tag.is-delete:not(body)::after, .content kbd.is-delete:not(body)::after, .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+      background-color: currentColor;
+      content: "";
+      display: block;
+      left: 50%;
+      position: absolute;
+      top: 50%;
+      transform: translateX(-50%) translateY(-50%) rotate(45deg);
+      transform-origin: center center; }
+    .tag.is-delete:not(body)::before, .content kbd.is-delete:not(body)::before, .docstring > section > a.docs-sourcelink.is-delete:not(body)::before {
+      height: 1px;
+      width: 50%; }
+    .tag.is-delete:not(body)::after, .content kbd.is-delete:not(body)::after, .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+      height: 50%;
+      width: 1px; }
+    .tag.is-delete:not(body):hover, .content kbd.is-delete:not(body):hover, .docstring > section > a.docs-sourcelink.is-delete:not(body):hover, .tag.is-delete:not(body):focus, .content kbd.is-delete:not(body):focus, .docstring > section > a.docs-sourcelink.is-delete:not(body):focus {
+      background-color: #e8e8e8; }
+    .tag.is-delete:not(body):active, .content kbd.is-delete:not(body):active, .docstring > section > a.docs-sourcelink.is-delete:not(body):active {
+      background-color: #dbdbdb; }
+  .tag.is-rounded:not(body), #documenter .docs-sidebar form.docs-search > input:not(body), .content kbd.is-rounded:not(body), #documenter .docs-sidebar .content form.docs-search > input:not(body), .docstring > section > a.docs-sourcelink.is-rounded:not(body) {
+    border-radius: 290486px; }
+
+a.tag:hover, .docstring > section > a.docs-sourcelink:hover {
+  text-decoration: underline; }
+
+.title,
+.subtitle {
+  word-break: break-word; }
+  .title em,
+  .title span,
+  .subtitle em,
+  .subtitle span {
+    font-weight: inherit; }
+  .title sub,
+  .subtitle sub {
+    font-size: 0.75em; }
+  .title sup,
+  .subtitle sup {
+    font-size: 0.75em; }
+  .title .tag, .title .content kbd, .content .title kbd, .title .docstring > section > a.docs-sourcelink,
+  .subtitle .tag,
+  .subtitle .content kbd,
+  .content .subtitle kbd,
+  .subtitle .docstring > section > a.docs-sourcelink {
+    vertical-align: middle; }
+
+.title {
+  color: #363636;
+  font-size: 2rem;
+  font-weight: 600;
+  line-height: 1.125; }
+  .title strong {
+    color: inherit;
+    font-weight: inherit; }
+  .title + .highlight {
+    margin-top: -0.75rem; }
+  .title:not(.is-spaced) + .subtitle {
+    margin-top: -1.25rem; }
+  .title.is-1 {
+    font-size: 3rem; }
+  .title.is-2 {
+    font-size: 2.5rem; }
+  .title.is-3 {
+    font-size: 2rem; }
+  .title.is-4 {
+    font-size: 1.5rem; }
+  .title.is-5 {
+    font-size: 1.25rem; }
+  .title.is-6 {
+    font-size: 1rem; }
+  .title.is-7 {
+    font-size: 0.75rem; }
+
+.subtitle {
+  color: #4a4a4a;
+  font-size: 1.25rem;
+  font-weight: 400;
+  line-height: 1.25; }
+  .subtitle strong {
+    color: #363636;
+    font-weight: 600; }
+  .subtitle:not(.is-spaced) + .title {
+    margin-top: -1.25rem; }
+  .subtitle.is-1 {
+    font-size: 3rem; }
+  .subtitle.is-2 {
+    font-size: 2.5rem; }
+  .subtitle.is-3 {
+    font-size: 2rem; }
+  .subtitle.is-4 {
+    font-size: 1.5rem; }
+  .subtitle.is-5 {
+    font-size: 1.25rem; }
+  .subtitle.is-6 {
+    font-size: 1rem; }
+  .subtitle.is-7 {
+    font-size: 0.75rem; }
+
+.heading {
+  display: block;
+  font-size: 11px;
+  letter-spacing: 1px;
+  margin-bottom: 5px;
+  text-transform: uppercase; }
+
+.highlight {
+  font-weight: 400;
+  max-width: 100%;
+  overflow: hidden;
+  padding: 0; }
+  .highlight pre {
+    overflow: auto;
+    max-width: 100%; }
+
+.number {
+  align-items: center;
+  background-color: whitesmoke;
+  border-radius: 290486px;
+  display: inline-flex;
+  font-size: 1.25rem;
+  height: 2em;
+  justify-content: center;
+  margin-right: 1.5rem;
+  min-width: 2.5em;
+  padding: 0.25rem 0.5rem;
+  text-align: center;
+  vertical-align: top; }
+
+.select select, .textarea, .input, #documenter .docs-sidebar form.docs-search > input {
+  background-color: white;
+  border-color: #dbdbdb;
+  border-radius: 4px;
+  color: #363636; }
+  .select select::-moz-placeholder, .textarea::-moz-placeholder, .input::-moz-placeholder, #documenter .docs-sidebar form.docs-search > input::-moz-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select::-webkit-input-placeholder, .textarea::-webkit-input-placeholder, .input::-webkit-input-placeholder, #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select:-moz-placeholder, .textarea:-moz-placeholder, .input:-moz-placeholder, #documenter .docs-sidebar form.docs-search > input:-moz-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select:-ms-input-placeholder, .textarea:-ms-input-placeholder, .input:-ms-input-placeholder, #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select:hover, .textarea:hover, .input:hover, #documenter .docs-sidebar form.docs-search > input:hover, .select select.is-hovered, .is-hovered.textarea, .is-hovered.input, #documenter .docs-sidebar form.docs-search > input.is-hovered {
+    border-color: #b5b5b5; }
+  .select select:focus, .textarea:focus, .input:focus, #documenter .docs-sidebar form.docs-search > input:focus, .select select.is-focused, .is-focused.textarea, .is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .select select:active, .textarea:active, .input:active, #documenter .docs-sidebar form.docs-search > input:active, .select select.is-active, .is-active.textarea, .is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+    border-color: #2e63b8;
+    box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .select select[disabled], .textarea[disabled], .input[disabled], #documenter .docs-sidebar form.docs-search > input[disabled], fieldset[disabled] .select select, .select fieldset[disabled] select, fieldset[disabled] .textarea, fieldset[disabled] .input, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input {
+    background-color: whitesmoke;
+    border-color: whitesmoke;
+    box-shadow: none;
+    color: #6b6b6b; }
+    .select select[disabled]::-moz-placeholder, .textarea[disabled]::-moz-placeholder, .input[disabled]::-moz-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]::-moz-placeholder, fieldset[disabled] .select select::-moz-placeholder, .select fieldset[disabled] select::-moz-placeholder, fieldset[disabled] .textarea::-moz-placeholder, fieldset[disabled] .input::-moz-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input::-moz-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input::-moz-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+    .select select[disabled]::-webkit-input-placeholder, .textarea[disabled]::-webkit-input-placeholder, .input[disabled]::-webkit-input-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]::-webkit-input-placeholder, fieldset[disabled] .select select::-webkit-input-placeholder, .select fieldset[disabled] select::-webkit-input-placeholder, fieldset[disabled] .textarea::-webkit-input-placeholder, fieldset[disabled] .input::-webkit-input-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input::-webkit-input-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+    .select select[disabled]:-moz-placeholder, .textarea[disabled]:-moz-placeholder, .input[disabled]:-moz-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]:-moz-placeholder, fieldset[disabled] .select select:-moz-placeholder, .select fieldset[disabled] select:-moz-placeholder, fieldset[disabled] .textarea:-moz-placeholder, fieldset[disabled] .input:-moz-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input:-moz-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input:-moz-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+    .select select[disabled]:-ms-input-placeholder, .textarea[disabled]:-ms-input-placeholder, .input[disabled]:-ms-input-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]:-ms-input-placeholder, fieldset[disabled] .select select:-ms-input-placeholder, .select fieldset[disabled] select:-ms-input-placeholder, fieldset[disabled] .textarea:-ms-input-placeholder, fieldset[disabled] .input:-ms-input-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input:-ms-input-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+
+.textarea, .input, #documenter .docs-sidebar form.docs-search > input {
+  box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.1);
+  max-width: 100%;
+  width: 100%; }
+  .textarea[readonly], .input[readonly], #documenter .docs-sidebar form.docs-search > input[readonly] {
+    box-shadow: none; }
+  .is-white.textarea, .is-white.input, #documenter .docs-sidebar form.docs-search > input.is-white {
+    border-color: white; }
+    .is-white.textarea:focus, .is-white.input:focus, #documenter .docs-sidebar form.docs-search > input.is-white:focus, .is-white.is-focused.textarea, .is-white.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-white.textarea:active, .is-white.input:active, #documenter .docs-sidebar form.docs-search > input.is-white:active, .is-white.is-active.textarea, .is-white.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+  .is-black.textarea, .is-black.input, #documenter .docs-sidebar form.docs-search > input.is-black {
+    border-color: #0a0a0a; }
+    .is-black.textarea:focus, .is-black.input:focus, #documenter .docs-sidebar form.docs-search > input.is-black:focus, .is-black.is-focused.textarea, .is-black.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-black.textarea:active, .is-black.input:active, #documenter .docs-sidebar form.docs-search > input.is-black:active, .is-black.is-active.textarea, .is-black.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+  .is-light.textarea, .is-light.input, #documenter .docs-sidebar form.docs-search > input.is-light {
+    border-color: whitesmoke; }
+    .is-light.textarea:focus, .is-light.input:focus, #documenter .docs-sidebar form.docs-search > input.is-light:focus, .is-light.is-focused.textarea, .is-light.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-light.textarea:active, .is-light.input:active, #documenter .docs-sidebar form.docs-search > input.is-light:active, .is-light.is-active.textarea, .is-light.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); }
+  .is-dark.textarea, .content kbd.textarea, .is-dark.input, #documenter .docs-sidebar form.docs-search > input.is-dark, .content kbd.input {
+    border-color: #363636; }
+    .is-dark.textarea:focus, .content kbd.textarea:focus, .is-dark.input:focus, #documenter .docs-sidebar form.docs-search > input.is-dark:focus, .content kbd.input:focus, .is-dark.is-focused.textarea, .content kbd.is-focused.textarea, .is-dark.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .content kbd.is-focused.input, #documenter .docs-sidebar .content form.docs-search > input.is-focused, .is-dark.textarea:active, .content kbd.textarea:active, .is-dark.input:active, #documenter .docs-sidebar form.docs-search > input.is-dark:active, .content kbd.input:active, .is-dark.is-active.textarea, .content kbd.is-active.textarea, .is-dark.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .content kbd.is-active.input, #documenter .docs-sidebar .content form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); }
+  .is-primary.textarea, .docstring > section > a.textarea.docs-sourcelink, .is-primary.input, #documenter .docs-sidebar form.docs-search > input.is-primary, .docstring > section > a.input.docs-sourcelink {
+    border-color: #4eb5de; }
+    .is-primary.textarea:focus, .docstring > section > a.textarea.docs-sourcelink:focus, .is-primary.input:focus, #documenter .docs-sidebar form.docs-search > input.is-primary:focus, .docstring > section > a.input.docs-sourcelink:focus, .is-primary.is-focused.textarea, .docstring > section > a.is-focused.textarea.docs-sourcelink, .is-primary.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .docstring > section > a.is-focused.input.docs-sourcelink, .is-primary.textarea:active, .docstring > section > a.textarea.docs-sourcelink:active, .is-primary.input:active, #documenter .docs-sidebar form.docs-search > input.is-primary:active, .docstring > section > a.input.docs-sourcelink:active, .is-primary.is-active.textarea, .docstring > section > a.is-active.textarea.docs-sourcelink, .is-primary.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .docstring > section > a.is-active.input.docs-sourcelink {
+      box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); }
+  .is-link.textarea, .is-link.input, #documenter .docs-sidebar form.docs-search > input.is-link {
+    border-color: #2e63b8; }
+    .is-link.textarea:focus, .is-link.input:focus, #documenter .docs-sidebar form.docs-search > input.is-link:focus, .is-link.is-focused.textarea, .is-link.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-link.textarea:active, .is-link.input:active, #documenter .docs-sidebar form.docs-search > input.is-link:active, .is-link.is-active.textarea, .is-link.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .is-info.textarea, .is-info.input, #documenter .docs-sidebar form.docs-search > input.is-info {
+    border-color: #209cee; }
+    .is-info.textarea:focus, .is-info.input:focus, #documenter .docs-sidebar form.docs-search > input.is-info:focus, .is-info.is-focused.textarea, .is-info.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-info.textarea:active, .is-info.input:active, #documenter .docs-sidebar form.docs-search > input.is-info:active, .is-info.is-active.textarea, .is-info.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); }
+  .is-success.textarea, .is-success.input, #documenter .docs-sidebar form.docs-search > input.is-success {
+    border-color: #22c35b; }
+    .is-success.textarea:focus, .is-success.input:focus, #documenter .docs-sidebar form.docs-search > input.is-success:focus, .is-success.is-focused.textarea, .is-success.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-success.textarea:active, .is-success.input:active, #documenter .docs-sidebar form.docs-search > input.is-success:active, .is-success.is-active.textarea, .is-success.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); }
+  .is-warning.textarea, .is-warning.input, #documenter .docs-sidebar form.docs-search > input.is-warning {
+    border-color: #ffdd57; }
+    .is-warning.textarea:focus, .is-warning.input:focus, #documenter .docs-sidebar form.docs-search > input.is-warning:focus, .is-warning.is-focused.textarea, .is-warning.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-warning.textarea:active, .is-warning.input:active, #documenter .docs-sidebar form.docs-search > input.is-warning:active, .is-warning.is-active.textarea, .is-warning.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); }
+  .is-danger.textarea, .is-danger.input, #documenter .docs-sidebar form.docs-search > input.is-danger {
+    border-color: #da0b00; }
+    .is-danger.textarea:focus, .is-danger.input:focus, #documenter .docs-sidebar form.docs-search > input.is-danger:focus, .is-danger.is-focused.textarea, .is-danger.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-danger.textarea:active, .is-danger.input:active, #documenter .docs-sidebar form.docs-search > input.is-danger:active, .is-danger.is-active.textarea, .is-danger.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); }
+  .is-small.textarea, .is-small.input, #documenter .docs-sidebar form.docs-search > input {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .is-medium.textarea, .is-medium.input, #documenter .docs-sidebar form.docs-search > input.is-medium {
+    font-size: 1.25rem; }
+  .is-large.textarea, .is-large.input, #documenter .docs-sidebar form.docs-search > input.is-large {
+    font-size: 1.5rem; }
+  .is-fullwidth.textarea, .is-fullwidth.input, #documenter .docs-sidebar form.docs-search > input.is-fullwidth {
+    display: block;
+    width: 100%; }
+  .is-inline.textarea, .is-inline.input, #documenter .docs-sidebar form.docs-search > input.is-inline {
+    display: inline;
+    width: auto; }
+
+.input.is-rounded, #documenter .docs-sidebar form.docs-search > input {
+  border-radius: 290486px;
+  padding-left: 1em;
+  padding-right: 1em; }
+
+.input.is-static, #documenter .docs-sidebar form.docs-search > input.is-static {
+  background-color: transparent;
+  border-color: transparent;
+  box-shadow: none;
+  padding-left: 0;
+  padding-right: 0; }
+
+.textarea {
+  display: block;
+  max-width: 100%;
+  min-width: 100%;
+  padding: 0.625em;
+  resize: vertical; }
+  .textarea:not([rows]) {
+    max-height: 600px;
+    min-height: 120px; }
+  .textarea[rows] {
+    height: initial; }
+  .textarea.has-fixed-size {
+    resize: none; }
+
+.radio, .checkbox {
+  cursor: pointer;
+  display: inline-block;
+  line-height: 1.25;
+  position: relative; }
+  .radio input, .checkbox input {
+    cursor: pointer; }
+  .radio:hover, .checkbox:hover {
+    color: #363636; }
+  .radio[disabled], .checkbox[disabled], fieldset[disabled] .radio, fieldset[disabled] .checkbox {
+    color: #6b6b6b;
+    cursor: not-allowed; }
+
+.radio + .radio {
+  margin-left: 0.5em; }
+
+.select {
+  display: inline-block;
+  max-width: 100%;
+  position: relative;
+  vertical-align: top; }
+  .select:not(.is-multiple) {
+    height: 2.25em; }
+  .select:not(.is-multiple):not(.is-loading)::after {
+    border-color: #2e63b8;
+    right: 1.125em;
+    z-index: 4; }
+  .select.is-rounded select, #documenter .docs-sidebar form.docs-search > input.select select {
+    border-radius: 290486px;
+    padding-left: 1em; }
+  .select select {
+    cursor: pointer;
+    display: block;
+    font-size: 1em;
+    max-width: 100%;
+    outline: none; }
+    .select select::-ms-expand {
+      display: none; }
+    .select select[disabled]:hover, fieldset[disabled] .select select:hover {
+      border-color: whitesmoke; }
+    .select select:not([multiple]) {
+      padding-right: 2.5em; }
+    .select select[multiple] {
+      height: auto;
+      padding: 0; }
+      .select select[multiple] option {
+        padding: 0.5em 1em; }
+  .select:not(.is-multiple):not(.is-loading):hover::after {
+    border-color: #363636; }
+  .select.is-white:not(:hover)::after {
+    border-color: white; }
+  .select.is-white select {
+    border-color: white; }
+    .select.is-white select:hover, .select.is-white select.is-hovered {
+      border-color: #f2f2f2; }
+    .select.is-white select:focus, .select.is-white select.is-focused, .select.is-white select:active, .select.is-white select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+  .select.is-black:not(:hover)::after {
+    border-color: #0a0a0a; }
+  .select.is-black select {
+    border-color: #0a0a0a; }
+    .select.is-black select:hover, .select.is-black select.is-hovered {
+      border-color: black; }
+    .select.is-black select:focus, .select.is-black select.is-focused, .select.is-black select:active, .select.is-black select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+  .select.is-light:not(:hover)::after {
+    border-color: whitesmoke; }
+  .select.is-light select {
+    border-color: whitesmoke; }
+    .select.is-light select:hover, .select.is-light select.is-hovered {
+      border-color: #e8e8e8; }
+    .select.is-light select:focus, .select.is-light select.is-focused, .select.is-light select:active, .select.is-light select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); }
+  .select.is-dark:not(:hover)::after, .content kbd.select:not(:hover)::after {
+    border-color: #363636; }
+  .select.is-dark select, .content kbd.select select {
+    border-color: #363636; }
+    .select.is-dark select:hover, .content kbd.select select:hover, .select.is-dark select.is-hovered, .content kbd.select select.is-hovered {
+      border-color: #292929; }
+    .select.is-dark select:focus, .content kbd.select select:focus, .select.is-dark select.is-focused, .content kbd.select select.is-focused, .select.is-dark select:active, .content kbd.select select:active, .select.is-dark select.is-active, .content kbd.select select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); }
+  .select.is-primary:not(:hover)::after, .docstring > section > a.select.docs-sourcelink:not(:hover)::after {
+    border-color: #4eb5de; }
+  .select.is-primary select, .docstring > section > a.select.docs-sourcelink select {
+    border-color: #4eb5de; }
+    .select.is-primary select:hover, .docstring > section > a.select.docs-sourcelink select:hover, .select.is-primary select.is-hovered, .docstring > section > a.select.docs-sourcelink select.is-hovered {
+      border-color: #39acda; }
+    .select.is-primary select:focus, .docstring > section > a.select.docs-sourcelink select:focus, .select.is-primary select.is-focused, .docstring > section > a.select.docs-sourcelink select.is-focused, .select.is-primary select:active, .docstring > section > a.select.docs-sourcelink select:active, .select.is-primary select.is-active, .docstring > section > a.select.docs-sourcelink select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); }
+  .select.is-link:not(:hover)::after {
+    border-color: #2e63b8; }
+  .select.is-link select {
+    border-color: #2e63b8; }
+    .select.is-link select:hover, .select.is-link select.is-hovered {
+      border-color: #2958a4; }
+    .select.is-link select:focus, .select.is-link select.is-focused, .select.is-link select:active, .select.is-link select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .select.is-info:not(:hover)::after {
+    border-color: #209cee; }
+  .select.is-info select {
+    border-color: #209cee; }
+    .select.is-info select:hover, .select.is-info select.is-hovered {
+      border-color: #1190e3; }
+    .select.is-info select:focus, .select.is-info select.is-focused, .select.is-info select:active, .select.is-info select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); }
+  .select.is-success:not(:hover)::after {
+    border-color: #22c35b; }
+  .select.is-success select {
+    border-color: #22c35b; }
+    .select.is-success select:hover, .select.is-success select.is-hovered {
+      border-color: #1ead51; }
+    .select.is-success select:focus, .select.is-success select.is-focused, .select.is-success select:active, .select.is-success select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); }
+  .select.is-warning:not(:hover)::after {
+    border-color: #ffdd57; }
+  .select.is-warning select {
+    border-color: #ffdd57; }
+    .select.is-warning select:hover, .select.is-warning select.is-hovered {
+      border-color: #ffd83e; }
+    .select.is-warning select:focus, .select.is-warning select.is-focused, .select.is-warning select:active, .select.is-warning select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); }
+  .select.is-danger:not(:hover)::after {
+    border-color: #da0b00; }
+  .select.is-danger select {
+    border-color: #da0b00; }
+    .select.is-danger select:hover, .select.is-danger select.is-hovered {
+      border-color: #c10a00; }
+    .select.is-danger select:focus, .select.is-danger select.is-focused, .select.is-danger select:active, .select.is-danger select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); }
+  .select.is-small, #documenter .docs-sidebar form.docs-search > input.select {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .select.is-medium {
+    font-size: 1.25rem; }
+  .select.is-large {
+    font-size: 1.5rem; }
+  .select.is-disabled::after {
+    border-color: #6b6b6b; }
+  .select.is-fullwidth {
+    width: 100%; }
+    .select.is-fullwidth select {
+      width: 100%; }
+  .select.is-loading::after {
+    margin-top: 0;
+    position: absolute;
+    right: 0.625em;
+    top: 0.625em;
+    transform: none; }
+  .select.is-loading.is-small:after, #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+    font-size: 0.75rem; }
+  .select.is-loading.is-medium:after {
+    font-size: 1.25rem; }
+  .select.is-loading.is-large:after {
+    font-size: 1.5rem; }
+
+.file {
+  align-items: stretch;
+  display: flex;
+  justify-content: flex-start;
+  position: relative; }
+  .file.is-white .file-cta {
+    background-color: white;
+    border-color: transparent;
+    color: #0a0a0a; }
+  .file.is-white:hover .file-cta, .file.is-white.is-hovered .file-cta {
+    background-color: #f9f9f9;
+    border-color: transparent;
+    color: #0a0a0a; }
+  .file.is-white:focus .file-cta, .file.is-white.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(255, 255, 255, 0.25);
+    color: #0a0a0a; }
+  .file.is-white:active .file-cta, .file.is-white.is-active .file-cta {
+    background-color: #f2f2f2;
+    border-color: transparent;
+    color: #0a0a0a; }
+  .file.is-black .file-cta {
+    background-color: #0a0a0a;
+    border-color: transparent;
+    color: white; }
+  .file.is-black:hover .file-cta, .file.is-black.is-hovered .file-cta {
+    background-color: #040404;
+    border-color: transparent;
+    color: white; }
+  .file.is-black:focus .file-cta, .file.is-black.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(10, 10, 10, 0.25);
+    color: white; }
+  .file.is-black:active .file-cta, .file.is-black.is-active .file-cta {
+    background-color: black;
+    border-color: transparent;
+    color: white; }
+  .file.is-light .file-cta {
+    background-color: whitesmoke;
+    border-color: transparent;
+    color: #363636; }
+  .file.is-light:hover .file-cta, .file.is-light.is-hovered .file-cta {
+    background-color: #eeeeee;
+    border-color: transparent;
+    color: #363636; }
+  .file.is-light:focus .file-cta, .file.is-light.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(245, 245, 245, 0.25);
+    color: #363636; }
+  .file.is-light:active .file-cta, .file.is-light.is-active .file-cta {
+    background-color: #e8e8e8;
+    border-color: transparent;
+    color: #363636; }
+  .file.is-dark .file-cta, .content kbd.file .file-cta {
+    background-color: #363636;
+    border-color: transparent;
+    color: whitesmoke; }
+  .file.is-dark:hover .file-cta, .content kbd.file:hover .file-cta, .file.is-dark.is-hovered .file-cta, .content kbd.file.is-hovered .file-cta {
+    background-color: #2f2f2f;
+    border-color: transparent;
+    color: whitesmoke; }
+  .file.is-dark:focus .file-cta, .content kbd.file:focus .file-cta, .file.is-dark.is-focused .file-cta, .content kbd.file.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(54, 54, 54, 0.25);
+    color: whitesmoke; }
+  .file.is-dark:active .file-cta, .content kbd.file:active .file-cta, .file.is-dark.is-active .file-cta, .content kbd.file.is-active .file-cta {
+    background-color: #292929;
+    border-color: transparent;
+    color: whitesmoke; }
+  .file.is-primary .file-cta, .docstring > section > a.file.docs-sourcelink .file-cta {
+    background-color: #4eb5de;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-primary:hover .file-cta, .docstring > section > a.file.docs-sourcelink:hover .file-cta, .file.is-primary.is-hovered .file-cta, .docstring > section > a.file.is-hovered.docs-sourcelink .file-cta {
+    background-color: #43b1dc;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-primary:focus .file-cta, .docstring > section > a.file.docs-sourcelink:focus .file-cta, .file.is-primary.is-focused .file-cta, .docstring > section > a.file.is-focused.docs-sourcelink .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(78, 181, 222, 0.25);
+    color: #fff; }
+  .file.is-primary:active .file-cta, .docstring > section > a.file.docs-sourcelink:active .file-cta, .file.is-primary.is-active .file-cta, .docstring > section > a.file.is-active.docs-sourcelink .file-cta {
+    background-color: #39acda;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-link .file-cta {
+    background-color: #2e63b8;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-link:hover .file-cta, .file.is-link.is-hovered .file-cta {
+    background-color: #2b5eae;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-link:focus .file-cta, .file.is-link.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(46, 99, 184, 0.25);
+    color: #fff; }
+  .file.is-link:active .file-cta, .file.is-link.is-active .file-cta {
+    background-color: #2958a4;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-info .file-cta {
+    background-color: #209cee;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-info:hover .file-cta, .file.is-info.is-hovered .file-cta {
+    background-color: #1497ed;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-info:focus .file-cta, .file.is-info.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(32, 156, 238, 0.25);
+    color: #fff; }
+  .file.is-info:active .file-cta, .file.is-info.is-active .file-cta {
+    background-color: #1190e3;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-success .file-cta {
+    background-color: #22c35b;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-success:hover .file-cta, .file.is-success.is-hovered .file-cta {
+    background-color: #20b856;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-success:focus .file-cta, .file.is-success.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(34, 195, 91, 0.25);
+    color: #fff; }
+  .file.is-success:active .file-cta, .file.is-success.is-active .file-cta {
+    background-color: #1ead51;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-warning .file-cta {
+    background-color: #ffdd57;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-warning:hover .file-cta, .file.is-warning.is-hovered .file-cta {
+    background-color: #ffda4a;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-warning:focus .file-cta, .file.is-warning.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(255, 221, 87, 0.25);
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-warning:active .file-cta, .file.is-warning.is-active .file-cta {
+    background-color: #ffd83e;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-danger .file-cta {
+    background-color: #da0b00;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-danger:hover .file-cta, .file.is-danger.is-hovered .file-cta {
+    background-color: #cd0a00;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-danger:focus .file-cta, .file.is-danger.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(218, 11, 0, 0.25);
+    color: #fff; }
+  .file.is-danger:active .file-cta, .file.is-danger.is-active .file-cta {
+    background-color: #c10a00;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-small, #documenter .docs-sidebar form.docs-search > input.file {
+    font-size: 0.75rem; }
+  .file.is-medium {
+    font-size: 1.25rem; }
+    .file.is-medium .file-icon .fa {
+      font-size: 21px; }
+  .file.is-large {
+    font-size: 1.5rem; }
+    .file.is-large .file-icon .fa {
+      font-size: 28px; }
+  .file.has-name .file-cta {
+    border-bottom-right-radius: 0;
+    border-top-right-radius: 0; }
+  .file.has-name .file-name {
+    border-bottom-left-radius: 0;
+    border-top-left-radius: 0; }
+  .file.has-name.is-empty .file-cta {
+    border-radius: 4px; }
+  .file.has-name.is-empty .file-name {
+    display: none; }
+  .file.is-boxed .file-label {
+    flex-direction: column; }
+  .file.is-boxed .file-cta {
+    flex-direction: column;
+    height: auto;
+    padding: 1em 3em; }
+  .file.is-boxed .file-name {
+    border-width: 0 1px 1px; }
+  .file.is-boxed .file-icon {
+    height: 1.5em;
+    width: 1.5em; }
+    .file.is-boxed .file-icon .fa {
+      font-size: 21px; }
+  .file.is-boxed.is-small .file-icon .fa, #documenter .docs-sidebar form.docs-search > input.is-boxed .file-icon .fa {
+    font-size: 14px; }
+  .file.is-boxed.is-medium .file-icon .fa {
+    font-size: 28px; }
+  .file.is-boxed.is-large .file-icon .fa {
+    font-size: 35px; }
+  .file.is-boxed.has-name .file-cta {
+    border-radius: 4px 4px 0 0; }
+  .file.is-boxed.has-name .file-name {
+    border-radius: 0 0 4px 4px;
+    border-width: 0 1px 1px; }
+  .file.is-centered {
+    justify-content: center; }
+  .file.is-fullwidth .file-label {
+    width: 100%; }
+  .file.is-fullwidth .file-name {
+    flex-grow: 1;
+    max-width: none; }
+  .file.is-right {
+    justify-content: flex-end; }
+    .file.is-right .file-cta {
+      border-radius: 0 4px 4px 0; }
+    .file.is-right .file-name {
+      border-radius: 4px 0 0 4px;
+      border-width: 1px 0 1px 1px;
+      order: -1; }
+
+.file-label {
+  align-items: stretch;
+  display: flex;
+  cursor: pointer;
+  justify-content: flex-start;
+  overflow: hidden;
+  position: relative; }
+  .file-label:hover .file-cta {
+    background-color: #eeeeee;
+    color: #363636; }
+  .file-label:hover .file-name {
+    border-color: #d5d5d5; }
+  .file-label:active .file-cta {
+    background-color: #e8e8e8;
+    color: #363636; }
+  .file-label:active .file-name {
+    border-color: #cfcfcf; }
+
+.file-input {
+  height: 100%;
+  left: 0;
+  opacity: 0;
+  outline: none;
+  position: absolute;
+  top: 0;
+  width: 100%; }
+
+.file-cta,
+.file-name {
+  border-color: #dbdbdb;
+  border-radius: 4px;
+  font-size: 1em;
+  padding-left: 1em;
+  padding-right: 1em;
+  white-space: nowrap; }
+
+.file-cta {
+  background-color: whitesmoke;
+  color: #4a4a4a; }
+
+.file-name {
+  border-color: #dbdbdb;
+  border-style: solid;
+  border-width: 1px 1px 1px 0;
+  display: block;
+  max-width: 16em;
+  overflow: hidden;
+  text-align: left;
+  text-overflow: ellipsis; }
+
+.file-icon {
+  align-items: center;
+  display: flex;
+  height: 1em;
+  justify-content: center;
+  margin-right: 0.5em;
+  width: 1em; }
+  .file-icon .fa {
+    font-size: 14px; }
+
+.label {
+  color: #363636;
+  display: block;
+  font-size: 1rem;
+  font-weight: 700; }
+  .label:not(:last-child) {
+    margin-bottom: 0.5em; }
+  .label.is-small, #documenter .docs-sidebar form.docs-search > input.label {
+    font-size: 0.75rem; }
+  .label.is-medium {
+    font-size: 1.25rem; }
+  .label.is-large {
+    font-size: 1.5rem; }
+
+.help {
+  display: block;
+  font-size: 0.75rem;
+  margin-top: 0.25rem; }
+  .help.is-white {
+    color: white; }
+  .help.is-black {
+    color: #0a0a0a; }
+  .help.is-light {
+    color: whitesmoke; }
+  .help.is-dark, .content kbd.help {
+    color: #363636; }
+  .help.is-primary, .docstring > section > a.help.docs-sourcelink {
+    color: #4eb5de; }
+  .help.is-link {
+    color: #2e63b8; }
+  .help.is-info {
+    color: #209cee; }
+  .help.is-success {
+    color: #22c35b; }
+  .help.is-warning {
+    color: #ffdd57; }
+  .help.is-danger {
+    color: #da0b00; }
+
+.field:not(:last-child) {
+  margin-bottom: 0.75rem; }
+
+.field.has-addons {
+  display: flex;
+  justify-content: flex-start; }
+  .field.has-addons .control:not(:last-child) {
+    margin-right: -1px; }
+  .field.has-addons .control:not(:first-child):not(:last-child) .button,
+  .field.has-addons .control:not(:first-child):not(:last-child) .input,
+  .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search > input,
+  #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search > input,
+  .field.has-addons .control:not(:first-child):not(:last-child) .select select {
+    border-radius: 0; }
+  .field.has-addons .control:first-child:not(:only-child) .button,
+  .field.has-addons .control:first-child:not(:only-child) .input,
+  .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+  #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search > input,
+  .field.has-addons .control:first-child:not(:only-child) .select select {
+    border-bottom-right-radius: 0;
+    border-top-right-radius: 0; }
+  .field.has-addons .control:last-child:not(:only-child) .button,
+  .field.has-addons .control:last-child:not(:only-child) .input,
+  .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+  #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search > input,
+  .field.has-addons .control:last-child:not(:only-child) .select select {
+    border-bottom-left-radius: 0;
+    border-top-left-radius: 0; }
+  .field.has-addons .control .button:not([disabled]):hover, .field.has-addons .control .button.is-hovered:not([disabled]),
+  .field.has-addons .control .input:not([disabled]):hover,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):hover,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):hover,
+  .field.has-addons .control .input.is-hovered:not([disabled]),
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-hovered:not([disabled]),
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-hovered:not([disabled]),
+  .field.has-addons .control .select select:not([disabled]):hover,
+  .field.has-addons .control .select select.is-hovered:not([disabled]) {
+    z-index: 2; }
+  .field.has-addons .control .button:not([disabled]):focus, .field.has-addons .control .button.is-focused:not([disabled]), .field.has-addons .control .button:not([disabled]):active, .field.has-addons .control .button.is-active:not([disabled]),
+  .field.has-addons .control .input:not([disabled]):focus,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus,
+  .field.has-addons .control .input.is-focused:not([disabled]),
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]),
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]),
+  .field.has-addons .control .input:not([disabled]):active,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active,
+  .field.has-addons .control .input.is-active:not([disabled]),
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]),
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]),
+  .field.has-addons .control .select select:not([disabled]):focus,
+  .field.has-addons .control .select select.is-focused:not([disabled]),
+  .field.has-addons .control .select select:not([disabled]):active,
+  .field.has-addons .control .select select.is-active:not([disabled]) {
+    z-index: 3; }
+    .field.has-addons .control .button:not([disabled]):focus:hover, .field.has-addons .control .button.is-focused:not([disabled]):hover, .field.has-addons .control .button:not([disabled]):active:hover, .field.has-addons .control .button.is-active:not([disabled]):hover,
+    .field.has-addons .control .input:not([disabled]):focus:hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus:hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus:hover,
+    .field.has-addons .control .input.is-focused:not([disabled]):hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]):hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]):hover,
+    .field.has-addons .control .input:not([disabled]):active:hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active:hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active:hover,
+    .field.has-addons .control .input.is-active:not([disabled]):hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]):hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]):hover,
+    .field.has-addons .control .select select:not([disabled]):focus:hover,
+    .field.has-addons .control .select select.is-focused:not([disabled]):hover,
+    .field.has-addons .control .select select:not([disabled]):active:hover,
+    .field.has-addons .control .select select.is-active:not([disabled]):hover {
+      z-index: 4; }
+  .field.has-addons .control.is-expanded {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .field.has-addons.has-addons-centered {
+    justify-content: center; }
+  .field.has-addons.has-addons-right {
+    justify-content: flex-end; }
+  .field.has-addons.has-addons-fullwidth .control {
+    flex-grow: 1;
+    flex-shrink: 0; }
+
+.field.is-grouped {
+  display: flex;
+  justify-content: flex-start; }
+  .field.is-grouped > .control {
+    flex-shrink: 0; }
+    .field.is-grouped > .control:not(:last-child) {
+      margin-bottom: 0;
+      margin-right: 0.75rem; }
+    .field.is-grouped > .control.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+  .field.is-grouped.is-grouped-centered {
+    justify-content: center; }
+  .field.is-grouped.is-grouped-right {
+    justify-content: flex-end; }
+  .field.is-grouped.is-grouped-multiline {
+    flex-wrap: wrap; }
+    .field.is-grouped.is-grouped-multiline > .control:last-child, .field.is-grouped.is-grouped-multiline > .control:not(:last-child) {
+      margin-bottom: 0.75rem; }
+    .field.is-grouped.is-grouped-multiline:last-child {
+      margin-bottom: -0.75rem; }
+    .field.is-grouped.is-grouped-multiline:not(:last-child) {
+      margin-bottom: 0; }
+
+@media screen and (min-width: 769px), print {
+  .field.is-horizontal {
+    display: flex; } }
+
+.field-label .label {
+  font-size: inherit; }
+
+@media screen and (max-width: 768px) {
+  .field-label {
+    margin-bottom: 0.5rem; } }
+
+@media screen and (min-width: 769px), print {
+  .field-label {
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 0;
+    margin-right: 1.5rem;
+    text-align: right; }
+    .field-label.is-small, #documenter .docs-sidebar form.docs-search > input.field-label {
+      font-size: 0.75rem;
+      padding-top: 0.375em; }
+    .field-label.is-normal {
+      padding-top: 0.375em; }
+    .field-label.is-medium {
+      font-size: 1.25rem;
+      padding-top: 0.375em; }
+    .field-label.is-large {
+      font-size: 1.5rem;
+      padding-top: 0.375em; } }
+
+.field-body .field .field {
+  margin-bottom: 0; }
+
+@media screen and (min-width: 769px), print {
+  .field-body {
+    display: flex;
+    flex-basis: 0;
+    flex-grow: 5;
+    flex-shrink: 1; }
+    .field-body .field {
+      margin-bottom: 0; }
+    .field-body > .field {
+      flex-shrink: 1; }
+      .field-body > .field:not(.is-narrow) {
+        flex-grow: 1; }
+      .field-body > .field:not(:last-child) {
+        margin-right: 0.75rem; } }
+
+.control {
+  box-sizing: border-box;
+  clear: both;
+  font-size: 1rem;
+  position: relative;
+  text-align: left; }
+  .control.has-icons-left .input:focus ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input:focus ~ .icon,
+  .control.has-icons-left .select:focus ~ .icon, .control.has-icons-right .input:focus ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input:focus ~ .icon,
+  .control.has-icons-right .select:focus ~ .icon {
+    color: #6b6b6b; }
+  .control.has-icons-left .input.is-small ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input ~ .icon,
+  .control.has-icons-left .select.is-small ~ .icon, .control.has-icons-right .input.is-small ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input ~ .icon,
+  .control.has-icons-right .select.is-small ~ .icon {
+    font-size: 0.75rem; }
+  .control.has-icons-left .input.is-medium ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-medium ~ .icon,
+  .control.has-icons-left .select.is-medium ~ .icon, .control.has-icons-right .input.is-medium ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-medium ~ .icon,
+  .control.has-icons-right .select.is-medium ~ .icon {
+    font-size: 1.25rem; }
+  .control.has-icons-left .input.is-large ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-large ~ .icon,
+  .control.has-icons-left .select.is-large ~ .icon, .control.has-icons-right .input.is-large ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-large ~ .icon,
+  .control.has-icons-right .select.is-large ~ .icon {
+    font-size: 1.5rem; }
+  .control.has-icons-left .icon, .control.has-icons-right .icon {
+    color: #dbdbdb;
+    height: 2.25em;
+    pointer-events: none;
+    position: absolute;
+    top: 0;
+    width: 2.25em;
+    z-index: 4; }
+  .control.has-icons-left .input, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input,
+  .control.has-icons-left .select select {
+    padding-left: 2.25em; }
+  .control.has-icons-left .icon.is-left {
+    left: 0; }
+  .control.has-icons-right .input, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input,
+  .control.has-icons-right .select select {
+    padding-right: 2.25em; }
+  .control.has-icons-right .icon.is-right {
+    right: 0; }
+  .control.is-loading::after {
+    position: absolute !important;
+    right: 0.625em;
+    top: 0.625em;
+    z-index: 4; }
+  .control.is-loading.is-small:after, #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+    font-size: 0.75rem; }
+  .control.is-loading.is-medium:after {
+    font-size: 1.25rem; }
+  .control.is-loading.is-large:after {
+    font-size: 1.5rem; }
+
+.breadcrumb {
+  font-size: 1rem;
+  white-space: nowrap; }
+  .breadcrumb a {
+    align-items: center;
+    color: #2e63b8;
+    display: flex;
+    justify-content: center;
+    padding: 0 0.75em; }
+    .breadcrumb a:hover {
+      color: #363636; }
+  .breadcrumb li {
+    align-items: center;
+    display: flex; }
+    .breadcrumb li:first-child a {
+      padding-left: 0; }
+    .breadcrumb li.is-active a {
+      color: #222222;
+      cursor: default;
+      pointer-events: none; }
+    .breadcrumb li + li::before {
+      color: #b5b5b5;
+      content: "\0002f"; }
+  .breadcrumb ul,
+  .breadcrumb ol {
+    align-items: flex-start;
+    display: flex;
+    flex-wrap: wrap;
+    justify-content: flex-start; }
+  .breadcrumb .icon:first-child {
+    margin-right: 0.5em; }
+  .breadcrumb .icon:last-child {
+    margin-left: 0.5em; }
+  .breadcrumb.is-centered ol,
+  .breadcrumb.is-centered ul {
+    justify-content: center; }
+  .breadcrumb.is-right ol,
+  .breadcrumb.is-right ul {
+    justify-content: flex-end; }
+  .breadcrumb.is-small, #documenter .docs-sidebar form.docs-search > input.breadcrumb {
+    font-size: 0.75rem; }
+  .breadcrumb.is-medium {
+    font-size: 1.25rem; }
+  .breadcrumb.is-large {
+    font-size: 1.5rem; }
+  .breadcrumb.has-arrow-separator li + li::before {
+    content: "\02192"; }
+  .breadcrumb.has-bullet-separator li + li::before {
+    content: "\02022"; }
+  .breadcrumb.has-dot-separator li + li::before {
+    content: "\000b7"; }
+  .breadcrumb.has-succeeds-separator li + li::before {
+    content: "\0227B"; }
+
+.card {
+  background-color: white;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+  color: #222222;
+  max-width: 100%;
+  position: relative; }
+
+.card-header {
+  background-color: transparent;
+  align-items: stretch;
+  box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+  display: flex; }
+
+.card-header-title {
+  align-items: center;
+  color: #222222;
+  display: flex;
+  flex-grow: 1;
+  font-weight: 700;
+  padding: 0.75rem; }
+  .card-header-title.is-centered {
+    justify-content: center; }
+
+.card-header-icon {
+  align-items: center;
+  cursor: pointer;
+  display: flex;
+  justify-content: center;
+  padding: 0.75rem; }
+
+.card-image {
+  display: block;
+  position: relative; }
+
+.card-content {
+  background-color: transparent;
+  padding: 1.5rem; }
+
+.card-footer {
+  background-color: transparent;
+  border-top: 1px solid #dbdbdb;
+  align-items: stretch;
+  display: flex; }
+
+.card-footer-item {
+  align-items: center;
+  display: flex;
+  flex-basis: 0;
+  flex-grow: 1;
+  flex-shrink: 0;
+  justify-content: center;
+  padding: 0.75rem; }
+  .card-footer-item:not(:last-child) {
+    border-right: 1px solid #dbdbdb; }
+
+.card .media:not(:last-child) {
+  margin-bottom: 1.5rem; }
+
+.dropdown {
+  display: inline-flex;
+  position: relative;
+  vertical-align: top; }
+  .dropdown.is-active .dropdown-menu, .dropdown.is-hoverable:hover .dropdown-menu {
+    display: block; }
+  .dropdown.is-right .dropdown-menu {
+    left: auto;
+    right: 0; }
+  .dropdown.is-up .dropdown-menu {
+    bottom: 100%;
+    padding-bottom: 4px;
+    padding-top: initial;
+    top: auto; }
+
+.dropdown-menu {
+  display: none;
+  left: 0;
+  min-width: 12rem;
+  padding-top: 4px;
+  position: absolute;
+  top: 100%;
+  z-index: 20; }
+
+.dropdown-content {
+  background-color: white;
+  border-radius: 4px;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+  padding-bottom: 0.5rem;
+  padding-top: 0.5rem; }
+
+.dropdown-item {
+  color: #4a4a4a;
+  display: block;
+  font-size: 0.875rem;
+  line-height: 1.5;
+  padding: 0.375rem 1rem;
+  position: relative; }
+
+a.dropdown-item,
+button.dropdown-item {
+  padding-right: 3rem;
+  text-align: left;
+  white-space: nowrap;
+  width: 100%; }
+  a.dropdown-item:hover,
+  button.dropdown-item:hover {
+    background-color: whitesmoke;
+    color: #0a0a0a; }
+  a.dropdown-item.is-active,
+  button.dropdown-item.is-active {
+    background-color: #2e63b8;
+    color: #fff; }
+
+.dropdown-divider {
+  background-color: #dbdbdb;
+  border: none;
+  display: block;
+  height: 1px;
+  margin: 0.5rem 0; }
+
+.level {
+  align-items: center;
+  justify-content: space-between; }
+  .level code {
+    border-radius: 4px; }
+  .level img {
+    display: inline-block;
+    vertical-align: top; }
+  .level.is-mobile {
+    display: flex; }
+    .level.is-mobile .level-left,
+    .level.is-mobile .level-right {
+      display: flex; }
+    .level.is-mobile .level-left + .level-right {
+      margin-top: 0; }
+    .level.is-mobile .level-item:not(:last-child) {
+      margin-bottom: 0;
+      margin-right: 0.75rem; }
+    .level.is-mobile .level-item:not(.is-narrow) {
+      flex-grow: 1; }
+  @media screen and (min-width: 769px), print {
+    .level {
+      display: flex; }
+      .level > .level-item:not(.is-narrow) {
+        flex-grow: 1; } }
+.level-item {
+  align-items: center;
+  display: flex;
+  flex-basis: auto;
+  flex-grow: 0;
+  flex-shrink: 0;
+  justify-content: center; }
+  .level-item .title,
+  .level-item .subtitle {
+    margin-bottom: 0; }
+  @media screen and (max-width: 768px) {
+    .level-item:not(:last-child) {
+      margin-bottom: 0.75rem; } }
+.level-left,
+.level-right {
+  flex-basis: auto;
+  flex-grow: 0;
+  flex-shrink: 0; }
+  .level-left .level-item.is-flexible,
+  .level-right .level-item.is-flexible {
+    flex-grow: 1; }
+  @media screen and (min-width: 769px), print {
+    .level-left .level-item:not(:last-child),
+    .level-right .level-item:not(:last-child) {
+      margin-right: 0.75rem; } }
+.level-left {
+  align-items: center;
+  justify-content: flex-start; }
+  @media screen and (max-width: 768px) {
+    .level-left + .level-right {
+      margin-top: 1.5rem; } }
+  @media screen and (min-width: 769px), print {
+    .level-left {
+      display: flex; } }
+.level-right {
+  align-items: center;
+  justify-content: flex-end; }
+  @media screen and (min-width: 769px), print {
+    .level-right {
+      display: flex; } }
+.list {
+  background-color: white;
+  border-radius: 4px;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); }
+
+.list-item {
+  display: block;
+  padding: 0.5em 1em; }
+  .list-item:not(a) {
+    color: #222222; }
+  .list-item:first-child {
+    border-top-left-radius: 4px;
+    border-top-right-radius: 4px; }
+  .list-item:last-child {
+    border-bottom-left-radius: 4px;
+    border-bottom-right-radius: 4px; }
+  .list-item:not(:last-child) {
+    border-bottom: 1px solid #dbdbdb; }
+  .list-item.is-active {
+    background-color: #2e63b8;
+    color: #fff; }
+
+a.list-item {
+  background-color: whitesmoke;
+  cursor: pointer; }
+
+.media {
+  align-items: flex-start;
+  display: flex;
+  text-align: left; }
+  .media .content:not(:last-child) {
+    margin-bottom: 0.75rem; }
+  .media .media {
+    border-top: 1px solid rgba(219, 219, 219, 0.5);
+    display: flex;
+    padding-top: 0.75rem; }
+    .media .media .content:not(:last-child),
+    .media .media .control:not(:last-child) {
+      margin-bottom: 0.5rem; }
+    .media .media .media {
+      padding-top: 0.5rem; }
+      .media .media .media + .media {
+        margin-top: 0.5rem; }
+  .media + .media {
+    border-top: 1px solid rgba(219, 219, 219, 0.5);
+    margin-top: 1rem;
+    padding-top: 1rem; }
+  .media.is-large + .media {
+    margin-top: 1.5rem;
+    padding-top: 1.5rem; }
+
+.media-left,
+.media-right {
+  flex-basis: auto;
+  flex-grow: 0;
+  flex-shrink: 0; }
+
+.media-left {
+  margin-right: 1rem; }
+
+.media-right {
+  margin-left: 1rem; }
+
+.media-content {
+  flex-basis: auto;
+  flex-grow: 1;
+  flex-shrink: 1;
+  text-align: left; }
+
+@media screen and (max-width: 768px) {
+  .media-content {
+    overflow-x: auto; } }
+
+.menu {
+  font-size: 1rem; }
+  .menu.is-small, #documenter .docs-sidebar form.docs-search > input.menu {
+    font-size: 0.75rem; }
+  .menu.is-medium {
+    font-size: 1.25rem; }
+  .menu.is-large {
+    font-size: 1.5rem; }
+
+.menu-list {
+  line-height: 1.25; }
+  .menu-list a {
+    border-radius: 2px;
+    color: #222222;
+    display: block;
+    padding: 0.5em 0.75em; }
+    .menu-list a:hover {
+      background-color: whitesmoke;
+      color: #222222; }
+    .menu-list a.is-active {
+      background-color: #2e63b8;
+      color: #fff; }
+  .menu-list li ul {
+    border-left: 1px solid #dbdbdb;
+    margin: 0.75em;
+    padding-left: 0.75em; }
+
+.menu-label {
+  color: #6b6b6b;
+  font-size: 0.75em;
+  letter-spacing: 0.1em;
+  text-transform: uppercase; }
+  .menu-label:not(:first-child) {
+    margin-top: 1em; }
+  .menu-label:not(:last-child) {
+    margin-bottom: 1em; }
+
+.message {
+  background-color: whitesmoke;
+  border-radius: 4px;
+  font-size: 1rem; }
+  .message strong {
+    color: currentColor; }
+  .message a:not(.button):not(.tag):not(.dropdown-item) {
+    color: currentColor;
+    text-decoration: underline; }
+  .message.is-small, #documenter .docs-sidebar form.docs-search > input.message {
+    font-size: 0.75rem; }
+  .message.is-medium {
+    font-size: 1.25rem; }
+  .message.is-large {
+    font-size: 1.5rem; }
+  .message.is-white {
+    background-color: white; }
+    .message.is-white .message-header {
+      background-color: white;
+      color: #0a0a0a; }
+    .message.is-white .message-body {
+      border-color: white;
+      color: #4d4d4d; }
+  .message.is-black {
+    background-color: #fafafa; }
+    .message.is-black .message-header {
+      background-color: #0a0a0a;
+      color: white; }
+    .message.is-black .message-body {
+      border-color: #0a0a0a;
+      color: #090909; }
+  .message.is-light {
+    background-color: #fafafa; }
+    .message.is-light .message-header {
+      background-color: whitesmoke;
+      color: #363636; }
+    .message.is-light .message-body {
+      border-color: whitesmoke;
+      color: #505050; }
+  .message.is-dark, .content kbd.message {
+    background-color: #fafafa; }
+    .message.is-dark .message-header, .content kbd.message .message-header {
+      background-color: #363636;
+      color: whitesmoke; }
+    .message.is-dark .message-body, .content kbd.message .message-body {
+      border-color: #363636;
+      color: #2a2a2a; }
+  .message.is-primary, .docstring > section > a.message.docs-sourcelink {
+    background-color: #f6fbfd; }
+    .message.is-primary .message-header, .docstring > section > a.message.docs-sourcelink .message-header {
+      background-color: #4eb5de;
+      color: #fff; }
+    .message.is-primary .message-body, .docstring > section > a.message.docs-sourcelink .message-body {
+      border-color: #4eb5de;
+      color: #1f556a; }
+  .message.is-link {
+    background-color: #f7f9fd; }
+    .message.is-link .message-header {
+      background-color: #2e63b8;
+      color: #fff; }
+    .message.is-link .message-body {
+      border-color: #2e63b8;
+      color: #264981; }
+  .message.is-info {
+    background-color: #f6fbfe; }
+    .message.is-info .message-header {
+      background-color: #209cee;
+      color: #fff; }
+    .message.is-info .message-body {
+      border-color: #209cee;
+      color: #12537d; }
+  .message.is-success {
+    background-color: #f6fdf9; }
+    .message.is-success .message-header {
+      background-color: #22c35b;
+      color: #fff; }
+    .message.is-success .message-body {
+      border-color: #22c35b;
+      color: #0f361d; }
+  .message.is-warning {
+    background-color: #fffdf5; }
+    .message.is-warning .message-header {
+      background-color: #ffdd57;
+      color: rgba(0, 0, 0, 0.7); }
+    .message.is-warning .message-body {
+      border-color: #ffdd57;
+      color: #3c3108; }
+  .message.is-danger {
+    background-color: #fff5f5; }
+    .message.is-danger .message-header {
+      background-color: #da0b00;
+      color: #fff; }
+    .message.is-danger .message-body {
+      border-color: #da0b00;
+      color: #9b0c04; }
+
+.message-header {
+  align-items: center;
+  background-color: #222222;
+  border-radius: 4px 4px 0 0;
+  color: #fff;
+  display: flex;
+  font-weight: 700;
+  justify-content: space-between;
+  line-height: 1.25;
+  padding: 0.75em 1em;
+  position: relative; }
+  .message-header .delete {
+    flex-grow: 0;
+    flex-shrink: 0;
+    margin-left: 0.75em; }
+  .message-header + .message-body {
+    border-width: 0;
+    border-top-left-radius: 0;
+    border-top-right-radius: 0; }
+
+.message-body {
+  border-color: #dbdbdb;
+  border-radius: 4px;
+  border-style: solid;
+  border-width: 0 0 0 4px;
+  color: #222222;
+  padding: 1.25em 1.5em; }
+  .message-body code,
+  .message-body pre {
+    background-color: white; }
+  .message-body pre code {
+    background-color: transparent; }
+
+.modal {
+  align-items: center;
+  display: none;
+  flex-direction: column;
+  justify-content: center;
+  overflow: hidden;
+  position: fixed;
+  z-index: 40; }
+  .modal.is-active {
+    display: flex; }
+
+.modal-background {
+  background-color: rgba(10, 10, 10, 0.86); }
+
+.modal-content,
+.modal-card {
+  margin: 0 20px;
+  max-height: calc(100vh - 160px);
+  overflow: auto;
+  position: relative;
+  width: 100%; }
+  @media screen and (min-width: 769px), print {
+    .modal-content,
+    .modal-card {
+      margin: 0 auto;
+      max-height: calc(100vh - 40px);
+      width: 640px; } }
+.modal-close {
+  background: none;
+  height: 40px;
+  position: fixed;
+  right: 20px;
+  top: 20px;
+  width: 40px; }
+
+.modal-card {
+  display: flex;
+  flex-direction: column;
+  max-height: calc(100vh - 40px);
+  overflow: hidden;
+  -ms-overflow-y: visible; }
+
+.modal-card-head,
+.modal-card-foot {
+  align-items: center;
+  background-color: whitesmoke;
+  display: flex;
+  flex-shrink: 0;
+  justify-content: flex-start;
+  padding: 20px;
+  position: relative; }
+
+.modal-card-head {
+  border-bottom: 1px solid #dbdbdb;
+  border-top-left-radius: 6px;
+  border-top-right-radius: 6px; }
+
+.modal-card-title {
+  color: #222222;
+  flex-grow: 1;
+  flex-shrink: 0;
+  font-size: 1.5rem;
+  line-height: 1; }
+
+.modal-card-foot {
+  border-bottom-left-radius: 6px;
+  border-bottom-right-radius: 6px;
+  border-top: 1px solid #dbdbdb; }
+  .modal-card-foot .button:not(:last-child) {
+    margin-right: 0.5em; }
+
+.modal-card-body {
+  -webkit-overflow-scrolling: touch;
+  background-color: white;
+  flex-grow: 1;
+  flex-shrink: 1;
+  overflow: auto;
+  padding: 20px; }
+
+.navbar {
+  background-color: white;
+  min-height: 3.25rem;
+  position: relative;
+  z-index: 30; }
+  .navbar.is-white {
+    background-color: white;
+    color: #0a0a0a; }
+    .navbar.is-white .navbar-brand > .navbar-item,
+    .navbar.is-white .navbar-brand .navbar-link {
+      color: #0a0a0a; }
+    .navbar.is-white .navbar-brand > a.navbar-item:focus, .navbar.is-white .navbar-brand > a.navbar-item:hover, .navbar.is-white .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-white .navbar-brand .navbar-link:focus,
+    .navbar.is-white .navbar-brand .navbar-link:hover,
+    .navbar.is-white .navbar-brand .navbar-link.is-active {
+      background-color: #f2f2f2;
+      color: #0a0a0a; }
+    .navbar.is-white .navbar-brand .navbar-link::after {
+      border-color: #0a0a0a; }
+    .navbar.is-white .navbar-burger {
+      color: #0a0a0a; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-white .navbar-start > .navbar-item,
+      .navbar.is-white .navbar-start .navbar-link,
+      .navbar.is-white .navbar-end > .navbar-item,
+      .navbar.is-white .navbar-end .navbar-link {
+        color: #0a0a0a; }
+      .navbar.is-white .navbar-start > a.navbar-item:focus, .navbar.is-white .navbar-start > a.navbar-item:hover, .navbar.is-white .navbar-start > a.navbar-item.is-active,
+      .navbar.is-white .navbar-start .navbar-link:focus,
+      .navbar.is-white .navbar-start .navbar-link:hover,
+      .navbar.is-white .navbar-start .navbar-link.is-active,
+      .navbar.is-white .navbar-end > a.navbar-item:focus,
+      .navbar.is-white .navbar-end > a.navbar-item:hover,
+      .navbar.is-white .navbar-end > a.navbar-item.is-active,
+      .navbar.is-white .navbar-end .navbar-link:focus,
+      .navbar.is-white .navbar-end .navbar-link:hover,
+      .navbar.is-white .navbar-end .navbar-link.is-active {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      .navbar.is-white .navbar-start .navbar-link::after,
+      .navbar.is-white .navbar-end .navbar-link::after {
+        border-color: #0a0a0a; }
+      .navbar.is-white .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-white .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-white .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      .navbar.is-white .navbar-dropdown a.navbar-item.is-active {
+        background-color: white;
+        color: #0a0a0a; } }
+  .navbar.is-black {
+    background-color: #0a0a0a;
+    color: white; }
+    .navbar.is-black .navbar-brand > .navbar-item,
+    .navbar.is-black .navbar-brand .navbar-link {
+      color: white; }
+    .navbar.is-black .navbar-brand > a.navbar-item:focus, .navbar.is-black .navbar-brand > a.navbar-item:hover, .navbar.is-black .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-black .navbar-brand .navbar-link:focus,
+    .navbar.is-black .navbar-brand .navbar-link:hover,
+    .navbar.is-black .navbar-brand .navbar-link.is-active {
+      background-color: black;
+      color: white; }
+    .navbar.is-black .navbar-brand .navbar-link::after {
+      border-color: white; }
+    .navbar.is-black .navbar-burger {
+      color: white; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-black .navbar-start > .navbar-item,
+      .navbar.is-black .navbar-start .navbar-link,
+      .navbar.is-black .navbar-end > .navbar-item,
+      .navbar.is-black .navbar-end .navbar-link {
+        color: white; }
+      .navbar.is-black .navbar-start > a.navbar-item:focus, .navbar.is-black .navbar-start > a.navbar-item:hover, .navbar.is-black .navbar-start > a.navbar-item.is-active,
+      .navbar.is-black .navbar-start .navbar-link:focus,
+      .navbar.is-black .navbar-start .navbar-link:hover,
+      .navbar.is-black .navbar-start .navbar-link.is-active,
+      .navbar.is-black .navbar-end > a.navbar-item:focus,
+      .navbar.is-black .navbar-end > a.navbar-item:hover,
+      .navbar.is-black .navbar-end > a.navbar-item.is-active,
+      .navbar.is-black .navbar-end .navbar-link:focus,
+      .navbar.is-black .navbar-end .navbar-link:hover,
+      .navbar.is-black .navbar-end .navbar-link.is-active {
+        background-color: black;
+        color: white; }
+      .navbar.is-black .navbar-start .navbar-link::after,
+      .navbar.is-black .navbar-end .navbar-link::after {
+        border-color: white; }
+      .navbar.is-black .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-black .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-black .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: black;
+        color: white; }
+      .navbar.is-black .navbar-dropdown a.navbar-item.is-active {
+        background-color: #0a0a0a;
+        color: white; } }
+  .navbar.is-light {
+    background-color: whitesmoke;
+    color: #363636; }
+    .navbar.is-light .navbar-brand > .navbar-item,
+    .navbar.is-light .navbar-brand .navbar-link {
+      color: #363636; }
+    .navbar.is-light .navbar-brand > a.navbar-item:focus, .navbar.is-light .navbar-brand > a.navbar-item:hover, .navbar.is-light .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-light .navbar-brand .navbar-link:focus,
+    .navbar.is-light .navbar-brand .navbar-link:hover,
+    .navbar.is-light .navbar-brand .navbar-link.is-active {
+      background-color: #e8e8e8;
+      color: #363636; }
+    .navbar.is-light .navbar-brand .navbar-link::after {
+      border-color: #363636; }
+    .navbar.is-light .navbar-burger {
+      color: #363636; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-light .navbar-start > .navbar-item,
+      .navbar.is-light .navbar-start .navbar-link,
+      .navbar.is-light .navbar-end > .navbar-item,
+      .navbar.is-light .navbar-end .navbar-link {
+        color: #363636; }
+      .navbar.is-light .navbar-start > a.navbar-item:focus, .navbar.is-light .navbar-start > a.navbar-item:hover, .navbar.is-light .navbar-start > a.navbar-item.is-active,
+      .navbar.is-light .navbar-start .navbar-link:focus,
+      .navbar.is-light .navbar-start .navbar-link:hover,
+      .navbar.is-light .navbar-start .navbar-link.is-active,
+      .navbar.is-light .navbar-end > a.navbar-item:focus,
+      .navbar.is-light .navbar-end > a.navbar-item:hover,
+      .navbar.is-light .navbar-end > a.navbar-item.is-active,
+      .navbar.is-light .navbar-end .navbar-link:focus,
+      .navbar.is-light .navbar-end .navbar-link:hover,
+      .navbar.is-light .navbar-end .navbar-link.is-active {
+        background-color: #e8e8e8;
+        color: #363636; }
+      .navbar.is-light .navbar-start .navbar-link::after,
+      .navbar.is-light .navbar-end .navbar-link::after {
+        border-color: #363636; }
+      .navbar.is-light .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-light .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-light .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #e8e8e8;
+        color: #363636; }
+      .navbar.is-light .navbar-dropdown a.navbar-item.is-active {
+        background-color: whitesmoke;
+        color: #363636; } }
+  .navbar.is-dark, .content kbd.navbar {
+    background-color: #363636;
+    color: whitesmoke; }
+    .navbar.is-dark .navbar-brand > .navbar-item, .content kbd.navbar .navbar-brand > .navbar-item,
+    .navbar.is-dark .navbar-brand .navbar-link,
+    .content kbd.navbar .navbar-brand .navbar-link {
+      color: whitesmoke; }
+    .navbar.is-dark .navbar-brand > a.navbar-item:focus, .content kbd.navbar .navbar-brand > a.navbar-item:focus, .navbar.is-dark .navbar-brand > a.navbar-item:hover, .content kbd.navbar .navbar-brand > a.navbar-item:hover, .navbar.is-dark .navbar-brand > a.navbar-item.is-active, .content kbd.navbar .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-dark .navbar-brand .navbar-link:focus,
+    .content kbd.navbar .navbar-brand .navbar-link:focus,
+    .navbar.is-dark .navbar-brand .navbar-link:hover,
+    .content kbd.navbar .navbar-brand .navbar-link:hover,
+    .navbar.is-dark .navbar-brand .navbar-link.is-active,
+    .content kbd.navbar .navbar-brand .navbar-link.is-active {
+      background-color: #292929;
+      color: whitesmoke; }
+    .navbar.is-dark .navbar-brand .navbar-link::after, .content kbd.navbar .navbar-brand .navbar-link::after {
+      border-color: whitesmoke; }
+    .navbar.is-dark .navbar-burger, .content kbd.navbar .navbar-burger {
+      color: whitesmoke; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-dark .navbar-start > .navbar-item, .content kbd.navbar .navbar-start > .navbar-item,
+      .navbar.is-dark .navbar-start .navbar-link,
+      .content kbd.navbar .navbar-start .navbar-link,
+      .navbar.is-dark .navbar-end > .navbar-item,
+      .content kbd.navbar .navbar-end > .navbar-item,
+      .navbar.is-dark .navbar-end .navbar-link,
+      .content kbd.navbar .navbar-end .navbar-link {
+        color: whitesmoke; }
+      .navbar.is-dark .navbar-start > a.navbar-item:focus, .content kbd.navbar .navbar-start > a.navbar-item:focus, .navbar.is-dark .navbar-start > a.navbar-item:hover, .content kbd.navbar .navbar-start > a.navbar-item:hover, .navbar.is-dark .navbar-start > a.navbar-item.is-active, .content kbd.navbar .navbar-start > a.navbar-item.is-active,
+      .navbar.is-dark .navbar-start .navbar-link:focus,
+      .content kbd.navbar .navbar-start .navbar-link:focus,
+      .navbar.is-dark .navbar-start .navbar-link:hover,
+      .content kbd.navbar .navbar-start .navbar-link:hover,
+      .navbar.is-dark .navbar-start .navbar-link.is-active,
+      .content kbd.navbar .navbar-start .navbar-link.is-active,
+      .navbar.is-dark .navbar-end > a.navbar-item:focus,
+      .content kbd.navbar .navbar-end > a.navbar-item:focus,
+      .navbar.is-dark .navbar-end > a.navbar-item:hover,
+      .content kbd.navbar .navbar-end > a.navbar-item:hover,
+      .navbar.is-dark .navbar-end > a.navbar-item.is-active,
+      .content kbd.navbar .navbar-end > a.navbar-item.is-active,
+      .navbar.is-dark .navbar-end .navbar-link:focus,
+      .content kbd.navbar .navbar-end .navbar-link:focus,
+      .navbar.is-dark .navbar-end .navbar-link:hover,
+      .content kbd.navbar .navbar-end .navbar-link:hover,
+      .navbar.is-dark .navbar-end .navbar-link.is-active,
+      .content kbd.navbar .navbar-end .navbar-link.is-active {
+        background-color: #292929;
+        color: whitesmoke; }
+      .navbar.is-dark .navbar-start .navbar-link::after, .content kbd.navbar .navbar-start .navbar-link::after,
+      .navbar.is-dark .navbar-end .navbar-link::after,
+      .content kbd.navbar .navbar-end .navbar-link::after {
+        border-color: whitesmoke; }
+      .navbar.is-dark .navbar-item.has-dropdown:focus .navbar-link, .content kbd.navbar .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-dark .navbar-item.has-dropdown:hover .navbar-link,
+      .content kbd.navbar .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-dark .navbar-item.has-dropdown.is-active .navbar-link,
+      .content kbd.navbar .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #292929;
+        color: whitesmoke; }
+      .navbar.is-dark .navbar-dropdown a.navbar-item.is-active, .content kbd.navbar .navbar-dropdown a.navbar-item.is-active {
+        background-color: #363636;
+        color: whitesmoke; } }
+  .navbar.is-primary, .docstring > section > a.navbar.docs-sourcelink {
+    background-color: #4eb5de;
+    color: #fff; }
+    .navbar.is-primary .navbar-brand > .navbar-item, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > .navbar-item,
+    .navbar.is-primary .navbar-brand .navbar-link,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-primary .navbar-brand > a.navbar-item:focus, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:focus, .navbar.is-primary .navbar-brand > a.navbar-item:hover, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:hover, .navbar.is-primary .navbar-brand > a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-primary .navbar-brand .navbar-link:focus,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:focus,
+    .navbar.is-primary .navbar-brand .navbar-link:hover,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:hover,
+    .navbar.is-primary .navbar-brand .navbar-link.is-active,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link.is-active {
+      background-color: #39acda;
+      color: #fff; }
+    .navbar.is-primary .navbar-brand .navbar-link::after, .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-primary .navbar-burger, .docstring > section > a.navbar.docs-sourcelink .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-primary .navbar-start > .navbar-item, .docstring > section > a.navbar.docs-sourcelink .navbar-start > .navbar-item,
+      .navbar.is-primary .navbar-start .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link,
+      .navbar.is-primary .navbar-end > .navbar-item,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > .navbar-item,
+      .navbar.is-primary .navbar-end .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-primary .navbar-start > a.navbar-item:focus, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:focus, .navbar.is-primary .navbar-start > a.navbar-item:hover, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:hover, .navbar.is-primary .navbar-start > a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item.is-active,
+      .navbar.is-primary .navbar-start .navbar-link:focus,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:focus,
+      .navbar.is-primary .navbar-start .navbar-link:hover,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:hover,
+      .navbar.is-primary .navbar-start .navbar-link.is-active,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link.is-active,
+      .navbar.is-primary .navbar-end > a.navbar-item:focus,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:focus,
+      .navbar.is-primary .navbar-end > a.navbar-item:hover,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:hover,
+      .navbar.is-primary .navbar-end > a.navbar-item.is-active,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item.is-active,
+      .navbar.is-primary .navbar-end .navbar-link:focus,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:focus,
+      .navbar.is-primary .navbar-end .navbar-link:hover,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:hover,
+      .navbar.is-primary .navbar-end .navbar-link.is-active,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link.is-active {
+        background-color: #39acda;
+        color: #fff; }
+      .navbar.is-primary .navbar-start .navbar-link::after, .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link::after,
+      .navbar.is-primary .navbar-end .navbar-link::after,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-primary .navbar-item.has-dropdown:focus .navbar-link, .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-primary .navbar-item.has-dropdown:hover .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-primary .navbar-item.has-dropdown.is-active .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #39acda;
+        color: #fff; }
+      .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active {
+        background-color: #4eb5de;
+        color: #fff; } }
+  .navbar.is-link {
+    background-color: #2e63b8;
+    color: #fff; }
+    .navbar.is-link .navbar-brand > .navbar-item,
+    .navbar.is-link .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-link .navbar-brand > a.navbar-item:focus, .navbar.is-link .navbar-brand > a.navbar-item:hover, .navbar.is-link .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-link .navbar-brand .navbar-link:focus,
+    .navbar.is-link .navbar-brand .navbar-link:hover,
+    .navbar.is-link .navbar-brand .navbar-link.is-active {
+      background-color: #2958a4;
+      color: #fff; }
+    .navbar.is-link .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-link .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-link .navbar-start > .navbar-item,
+      .navbar.is-link .navbar-start .navbar-link,
+      .navbar.is-link .navbar-end > .navbar-item,
+      .navbar.is-link .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-link .navbar-start > a.navbar-item:focus, .navbar.is-link .navbar-start > a.navbar-item:hover, .navbar.is-link .navbar-start > a.navbar-item.is-active,
+      .navbar.is-link .navbar-start .navbar-link:focus,
+      .navbar.is-link .navbar-start .navbar-link:hover,
+      .navbar.is-link .navbar-start .navbar-link.is-active,
+      .navbar.is-link .navbar-end > a.navbar-item:focus,
+      .navbar.is-link .navbar-end > a.navbar-item:hover,
+      .navbar.is-link .navbar-end > a.navbar-item.is-active,
+      .navbar.is-link .navbar-end .navbar-link:focus,
+      .navbar.is-link .navbar-end .navbar-link:hover,
+      .navbar.is-link .navbar-end .navbar-link.is-active {
+        background-color: #2958a4;
+        color: #fff; }
+      .navbar.is-link .navbar-start .navbar-link::after,
+      .navbar.is-link .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-link .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-link .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-link .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #2958a4;
+        color: #fff; }
+      .navbar.is-link .navbar-dropdown a.navbar-item.is-active {
+        background-color: #2e63b8;
+        color: #fff; } }
+  .navbar.is-info {
+    background-color: #209cee;
+    color: #fff; }
+    .navbar.is-info .navbar-brand > .navbar-item,
+    .navbar.is-info .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-info .navbar-brand > a.navbar-item:focus, .navbar.is-info .navbar-brand > a.navbar-item:hover, .navbar.is-info .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-info .navbar-brand .navbar-link:focus,
+    .navbar.is-info .navbar-brand .navbar-link:hover,
+    .navbar.is-info .navbar-brand .navbar-link.is-active {
+      background-color: #1190e3;
+      color: #fff; }
+    .navbar.is-info .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-info .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-info .navbar-start > .navbar-item,
+      .navbar.is-info .navbar-start .navbar-link,
+      .navbar.is-info .navbar-end > .navbar-item,
+      .navbar.is-info .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-info .navbar-start > a.navbar-item:focus, .navbar.is-info .navbar-start > a.navbar-item:hover, .navbar.is-info .navbar-start > a.navbar-item.is-active,
+      .navbar.is-info .navbar-start .navbar-link:focus,
+      .navbar.is-info .navbar-start .navbar-link:hover,
+      .navbar.is-info .navbar-start .navbar-link.is-active,
+      .navbar.is-info .navbar-end > a.navbar-item:focus,
+      .navbar.is-info .navbar-end > a.navbar-item:hover,
+      .navbar.is-info .navbar-end > a.navbar-item.is-active,
+      .navbar.is-info .navbar-end .navbar-link:focus,
+      .navbar.is-info .navbar-end .navbar-link:hover,
+      .navbar.is-info .navbar-end .navbar-link.is-active {
+        background-color: #1190e3;
+        color: #fff; }
+      .navbar.is-info .navbar-start .navbar-link::after,
+      .navbar.is-info .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-info .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-info .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-info .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #1190e3;
+        color: #fff; }
+      .navbar.is-info .navbar-dropdown a.navbar-item.is-active {
+        background-color: #209cee;
+        color: #fff; } }
+  .navbar.is-success {
+    background-color: #22c35b;
+    color: #fff; }
+    .navbar.is-success .navbar-brand > .navbar-item,
+    .navbar.is-success .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-success .navbar-brand > a.navbar-item:focus, .navbar.is-success .navbar-brand > a.navbar-item:hover, .navbar.is-success .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-success .navbar-brand .navbar-link:focus,
+    .navbar.is-success .navbar-brand .navbar-link:hover,
+    .navbar.is-success .navbar-brand .navbar-link.is-active {
+      background-color: #1ead51;
+      color: #fff; }
+    .navbar.is-success .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-success .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-success .navbar-start > .navbar-item,
+      .navbar.is-success .navbar-start .navbar-link,
+      .navbar.is-success .navbar-end > .navbar-item,
+      .navbar.is-success .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-success .navbar-start > a.navbar-item:focus, .navbar.is-success .navbar-start > a.navbar-item:hover, .navbar.is-success .navbar-start > a.navbar-item.is-active,
+      .navbar.is-success .navbar-start .navbar-link:focus,
+      .navbar.is-success .navbar-start .navbar-link:hover,
+      .navbar.is-success .navbar-start .navbar-link.is-active,
+      .navbar.is-success .navbar-end > a.navbar-item:focus,
+      .navbar.is-success .navbar-end > a.navbar-item:hover,
+      .navbar.is-success .navbar-end > a.navbar-item.is-active,
+      .navbar.is-success .navbar-end .navbar-link:focus,
+      .navbar.is-success .navbar-end .navbar-link:hover,
+      .navbar.is-success .navbar-end .navbar-link.is-active {
+        background-color: #1ead51;
+        color: #fff; }
+      .navbar.is-success .navbar-start .navbar-link::after,
+      .navbar.is-success .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-success .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-success .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-success .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #1ead51;
+        color: #fff; }
+      .navbar.is-success .navbar-dropdown a.navbar-item.is-active {
+        background-color: #22c35b;
+        color: #fff; } }
+  .navbar.is-warning {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-brand > .navbar-item,
+    .navbar.is-warning .navbar-brand .navbar-link {
+      color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-brand > a.navbar-item:focus, .navbar.is-warning .navbar-brand > a.navbar-item:hover, .navbar.is-warning .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-warning .navbar-brand .navbar-link:focus,
+    .navbar.is-warning .navbar-brand .navbar-link:hover,
+    .navbar.is-warning .navbar-brand .navbar-link.is-active {
+      background-color: #ffd83e;
+      color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-brand .navbar-link::after {
+      border-color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-burger {
+      color: rgba(0, 0, 0, 0.7); }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-warning .navbar-start > .navbar-item,
+      .navbar.is-warning .navbar-start .navbar-link,
+      .navbar.is-warning .navbar-end > .navbar-item,
+      .navbar.is-warning .navbar-end .navbar-link {
+        color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-start > a.navbar-item:focus, .navbar.is-warning .navbar-start > a.navbar-item:hover, .navbar.is-warning .navbar-start > a.navbar-item.is-active,
+      .navbar.is-warning .navbar-start .navbar-link:focus,
+      .navbar.is-warning .navbar-start .navbar-link:hover,
+      .navbar.is-warning .navbar-start .navbar-link.is-active,
+      .navbar.is-warning .navbar-end > a.navbar-item:focus,
+      .navbar.is-warning .navbar-end > a.navbar-item:hover,
+      .navbar.is-warning .navbar-end > a.navbar-item.is-active,
+      .navbar.is-warning .navbar-end .navbar-link:focus,
+      .navbar.is-warning .navbar-end .navbar-link:hover,
+      .navbar.is-warning .navbar-end .navbar-link.is-active {
+        background-color: #ffd83e;
+        color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-start .navbar-link::after,
+      .navbar.is-warning .navbar-end .navbar-link::after {
+        border-color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-warning .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-warning .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #ffd83e;
+        color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-dropdown a.navbar-item.is-active {
+        background-color: #ffdd57;
+        color: rgba(0, 0, 0, 0.7); } }
+  .navbar.is-danger {
+    background-color: #da0b00;
+    color: #fff; }
+    .navbar.is-danger .navbar-brand > .navbar-item,
+    .navbar.is-danger .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-danger .navbar-brand > a.navbar-item:focus, .navbar.is-danger .navbar-brand > a.navbar-item:hover, .navbar.is-danger .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-danger .navbar-brand .navbar-link:focus,
+    .navbar.is-danger .navbar-brand .navbar-link:hover,
+    .navbar.is-danger .navbar-brand .navbar-link.is-active {
+      background-color: #c10a00;
+      color: #fff; }
+    .navbar.is-danger .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-danger .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-danger .navbar-start > .navbar-item,
+      .navbar.is-danger .navbar-start .navbar-link,
+      .navbar.is-danger .navbar-end > .navbar-item,
+      .navbar.is-danger .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-danger .navbar-start > a.navbar-item:focus, .navbar.is-danger .navbar-start > a.navbar-item:hover, .navbar.is-danger .navbar-start > a.navbar-item.is-active,
+      .navbar.is-danger .navbar-start .navbar-link:focus,
+      .navbar.is-danger .navbar-start .navbar-link:hover,
+      .navbar.is-danger .navbar-start .navbar-link.is-active,
+      .navbar.is-danger .navbar-end > a.navbar-item:focus,
+      .navbar.is-danger .navbar-end > a.navbar-item:hover,
+      .navbar.is-danger .navbar-end > a.navbar-item.is-active,
+      .navbar.is-danger .navbar-end .navbar-link:focus,
+      .navbar.is-danger .navbar-end .navbar-link:hover,
+      .navbar.is-danger .navbar-end .navbar-link.is-active {
+        background-color: #c10a00;
+        color: #fff; }
+      .navbar.is-danger .navbar-start .navbar-link::after,
+      .navbar.is-danger .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-danger .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-danger .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-danger .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #c10a00;
+        color: #fff; }
+      .navbar.is-danger .navbar-dropdown a.navbar-item.is-active {
+        background-color: #da0b00;
+        color: #fff; } }
+  .navbar > .container {
+    align-items: stretch;
+    display: flex;
+    min-height: 3.25rem;
+    width: 100%; }
+  .navbar.has-shadow {
+    box-shadow: 0 2px 0 0 whitesmoke; }
+  .navbar.is-fixed-bottom, .navbar.is-fixed-top {
+    left: 0;
+    position: fixed;
+    right: 0;
+    z-index: 30; }
+  .navbar.is-fixed-bottom {
+    bottom: 0; }
+    .navbar.is-fixed-bottom.has-shadow {
+      box-shadow: 0 -2px 0 0 whitesmoke; }
+  .navbar.is-fixed-top {
+    top: 0; }
+
+html.has-navbar-fixed-top,
+body.has-navbar-fixed-top {
+  padding-top: 3.25rem; }
+
+html.has-navbar-fixed-bottom,
+body.has-navbar-fixed-bottom {
+  padding-bottom: 3.25rem; }
+
+.navbar-brand,
+.navbar-tabs {
+  align-items: stretch;
+  display: flex;
+  flex-shrink: 0;
+  min-height: 3.25rem; }
+
+.navbar-brand a.navbar-item:focus, .navbar-brand a.navbar-item:hover {
+  background-color: transparent; }
+
+.navbar-tabs {
+  -webkit-overflow-scrolling: touch;
+  max-width: 100vw;
+  overflow-x: auto;
+  overflow-y: hidden; }
+
+.navbar-burger {
+  color: #4a4a4a;
+  cursor: pointer;
+  display: block;
+  height: 3.25rem;
+  position: relative;
+  width: 3.25rem;
+  margin-left: auto; }
+  .navbar-burger span {
+    background-color: currentColor;
+    display: block;
+    height: 1px;
+    left: calc(50% - 8px);
+    position: absolute;
+    transform-origin: center;
+    transition-duration: 86ms;
+    transition-property: background-color, opacity, transform;
+    transition-timing-function: ease-out;
+    width: 16px; }
+    .navbar-burger span:nth-child(1) {
+      top: calc(50% - 6px); }
+    .navbar-burger span:nth-child(2) {
+      top: calc(50% - 1px); }
+    .navbar-burger span:nth-child(3) {
+      top: calc(50% + 4px); }
+  .navbar-burger:hover {
+    background-color: rgba(0, 0, 0, 0.05); }
+  .navbar-burger.is-active span:nth-child(1) {
+    transform: translateY(5px) rotate(45deg); }
+  .navbar-burger.is-active span:nth-child(2) {
+    opacity: 0; }
+  .navbar-burger.is-active span:nth-child(3) {
+    transform: translateY(-5px) rotate(-45deg); }
+
+.navbar-menu {
+  display: none; }
+
+.navbar-item,
+.navbar-link {
+  color: #4a4a4a;
+  display: block;
+  line-height: 1.5;
+  padding: 0.5rem 0.75rem;
+  position: relative; }
+  .navbar-item .icon:only-child,
+  .navbar-link .icon:only-child {
+    margin-left: -0.25rem;
+    margin-right: -0.25rem; }
+
+a.navbar-item,
+.navbar-link {
+  cursor: pointer; }
+  a.navbar-item:focus, a.navbar-item:focus-within, a.navbar-item:hover, a.navbar-item.is-active,
+  .navbar-link:focus,
+  .navbar-link:focus-within,
+  .navbar-link:hover,
+  .navbar-link.is-active {
+    background-color: #fafafa;
+    color: #2e63b8; }
+
+.navbar-item {
+  display: block;
+  flex-grow: 0;
+  flex-shrink: 0; }
+  .navbar-item img {
+    max-height: 1.75rem; }
+  .navbar-item.has-dropdown {
+    padding: 0; }
+  .navbar-item.is-expanded {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .navbar-item.is-tab {
+    border-bottom: 1px solid transparent;
+    min-height: 3.25rem;
+    padding-bottom: calc(0.5rem - 1px); }
+    .navbar-item.is-tab:focus, .navbar-item.is-tab:hover {
+      background-color: transparent;
+      border-bottom-color: #2e63b8; }
+    .navbar-item.is-tab.is-active {
+      background-color: transparent;
+      border-bottom-color: #2e63b8;
+      border-bottom-style: solid;
+      border-bottom-width: 3px;
+      color: #2e63b8;
+      padding-bottom: calc(0.5rem - 3px); }
+
+.navbar-content {
+  flex-grow: 1;
+  flex-shrink: 1; }
+
+.navbar-link:not(.is-arrowless) {
+  padding-right: 2.5em; }
+  .navbar-link:not(.is-arrowless)::after {
+    border-color: #2e63b8;
+    margin-top: -0.375em;
+    right: 1.125em; }
+
+.navbar-dropdown {
+  font-size: 0.875rem;
+  padding-bottom: 0.5rem;
+  padding-top: 0.5rem; }
+  .navbar-dropdown .navbar-item {
+    padding-left: 1.5rem;
+    padding-right: 1.5rem; }
+
+.navbar-divider {
+  background-color: whitesmoke;
+  border: none;
+  display: none;
+  height: 2px;
+  margin: 0.5rem 0; }
+
+@media screen and (max-width: 1055px) {
+  .navbar > .container {
+    display: block; }
+  .navbar-brand .navbar-item,
+  .navbar-tabs .navbar-item {
+    align-items: center;
+    display: flex; }
+  .navbar-link::after {
+    display: none; }
+  .navbar-menu {
+    background-color: white;
+    box-shadow: 0 8px 16px rgba(10, 10, 10, 0.1);
+    padding: 0.5rem 0; }
+    .navbar-menu.is-active {
+      display: block; }
+  .navbar.is-fixed-bottom-touch, .navbar.is-fixed-top-touch {
+    left: 0;
+    position: fixed;
+    right: 0;
+    z-index: 30; }
+  .navbar.is-fixed-bottom-touch {
+    bottom: 0; }
+    .navbar.is-fixed-bottom-touch.has-shadow {
+      box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+  .navbar.is-fixed-top-touch {
+    top: 0; }
+  .navbar.is-fixed-top .navbar-menu, .navbar.is-fixed-top-touch .navbar-menu {
+    -webkit-overflow-scrolling: touch;
+    max-height: calc(100vh - 3.25rem);
+    overflow: auto; }
+  html.has-navbar-fixed-top-touch,
+  body.has-navbar-fixed-top-touch {
+    padding-top: 3.25rem; }
+  html.has-navbar-fixed-bottom-touch,
+  body.has-navbar-fixed-bottom-touch {
+    padding-bottom: 3.25rem; } }
+
+@media screen and (min-width: 1056px) {
+  .navbar,
+  .navbar-menu,
+  .navbar-start,
+  .navbar-end {
+    align-items: stretch;
+    display: flex; }
+  .navbar {
+    min-height: 3.25rem; }
+    .navbar.is-spaced {
+      padding: 1rem 2rem; }
+      .navbar.is-spaced .navbar-start,
+      .navbar.is-spaced .navbar-end {
+        align-items: center; }
+      .navbar.is-spaced a.navbar-item,
+      .navbar.is-spaced .navbar-link {
+        border-radius: 4px; }
+    .navbar.is-transparent a.navbar-item:focus, .navbar.is-transparent a.navbar-item:hover, .navbar.is-transparent a.navbar-item.is-active,
+    .navbar.is-transparent .navbar-link:focus,
+    .navbar.is-transparent .navbar-link:hover,
+    .navbar.is-transparent .navbar-link.is-active {
+      background-color: transparent !important; }
+    .navbar.is-transparent .navbar-item.has-dropdown.is-active .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus-within .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:hover .navbar-link {
+      background-color: transparent !important; }
+    .navbar.is-transparent .navbar-dropdown a.navbar-item:focus, .navbar.is-transparent .navbar-dropdown a.navbar-item:hover {
+      background-color: whitesmoke;
+      color: #0a0a0a; }
+    .navbar.is-transparent .navbar-dropdown a.navbar-item.is-active {
+      background-color: whitesmoke;
+      color: #2e63b8; }
+  .navbar-burger {
+    display: none; }
+  .navbar-item,
+  .navbar-link {
+    align-items: center;
+    display: flex; }
+  .navbar-item {
+    display: flex; }
+    .navbar-item.has-dropdown {
+      align-items: stretch; }
+    .navbar-item.has-dropdown-up .navbar-link::after {
+      transform: rotate(135deg) translate(0.25em, -0.25em); }
+    .navbar-item.has-dropdown-up .navbar-dropdown {
+      border-bottom: 2px solid #dbdbdb;
+      border-radius: 6px 6px 0 0;
+      border-top: none;
+      bottom: 100%;
+      box-shadow: 0 -8px 8px rgba(10, 10, 10, 0.1);
+      top: auto; }
+    .navbar-item.is-active .navbar-dropdown, .navbar-item.is-hoverable:focus .navbar-dropdown, .navbar-item.is-hoverable:focus-within .navbar-dropdown, .navbar-item.is-hoverable:hover .navbar-dropdown {
+      display: block; }
+      .navbar.is-spaced .navbar-item.is-active .navbar-dropdown, .navbar-item.is-active .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:focus .navbar-dropdown, .navbar-item.is-hoverable:focus .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:focus-within .navbar-dropdown, .navbar-item.is-hoverable:focus-within .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:hover .navbar-dropdown, .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed {
+        opacity: 1;
+        pointer-events: auto;
+        transform: translateY(0); }
+  .navbar-menu {
+    flex-grow: 1;
+    flex-shrink: 0; }
+  .navbar-start {
+    justify-content: flex-start;
+    margin-right: auto; }
+  .navbar-end {
+    justify-content: flex-end;
+    margin-left: auto; }
+  .navbar-dropdown {
+    background-color: white;
+    border-bottom-left-radius: 6px;
+    border-bottom-right-radius: 6px;
+    border-top: 2px solid #dbdbdb;
+    box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1);
+    display: none;
+    font-size: 0.875rem;
+    left: 0;
+    min-width: 100%;
+    position: absolute;
+    top: 100%;
+    z-index: 20; }
+    .navbar-dropdown .navbar-item {
+      padding: 0.375rem 1rem;
+      white-space: nowrap; }
+    .navbar-dropdown a.navbar-item {
+      padding-right: 3rem; }
+      .navbar-dropdown a.navbar-item:focus, .navbar-dropdown a.navbar-item:hover {
+        background-color: whitesmoke;
+        color: #0a0a0a; }
+      .navbar-dropdown a.navbar-item.is-active {
+        background-color: whitesmoke;
+        color: #2e63b8; }
+    .navbar.is-spaced .navbar-dropdown, .navbar-dropdown.is-boxed {
+      border-radius: 6px;
+      border-top: none;
+      box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+      display: block;
+      opacity: 0;
+      pointer-events: none;
+      top: calc(100% + (-4px));
+      transform: translateY(-5px);
+      transition-duration: 86ms;
+      transition-property: opacity, transform; }
+    .navbar-dropdown.is-right {
+      left: auto;
+      right: 0; }
+  .navbar-divider {
+    display: block; }
+  .navbar > .container .navbar-brand,
+  .container > .navbar .navbar-brand {
+    margin-left: -.75rem; }
+  .navbar > .container .navbar-menu,
+  .container > .navbar .navbar-menu {
+    margin-right: -.75rem; }
+  .navbar.is-fixed-bottom-desktop, .navbar.is-fixed-top-desktop {
+    left: 0;
+    position: fixed;
+    right: 0;
+    z-index: 30; }
+  .navbar.is-fixed-bottom-desktop {
+    bottom: 0; }
+    .navbar.is-fixed-bottom-desktop.has-shadow {
+      box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+  .navbar.is-fixed-top-desktop {
+    top: 0; }
+  html.has-navbar-fixed-top-desktop,
+  body.has-navbar-fixed-top-desktop {
+    padding-top: 3.25rem; }
+  html.has-navbar-fixed-bottom-desktop,
+  body.has-navbar-fixed-bottom-desktop {
+    padding-bottom: 3.25rem; }
+  html.has-spaced-navbar-fixed-top,
+  body.has-spaced-navbar-fixed-top {
+    padding-top: 5.25rem; }
+  html.has-spaced-navbar-fixed-bottom,
+  body.has-spaced-navbar-fixed-bottom {
+    padding-bottom: 5.25rem; }
+  a.navbar-item.is-active,
+  .navbar-link.is-active {
+    color: #0a0a0a; }
+  a.navbar-item.is-active:not(:focus):not(:hover),
+  .navbar-link.is-active:not(:focus):not(:hover) {
+    background-color: transparent; }
+  .navbar-item.has-dropdown:focus .navbar-link, .navbar-item.has-dropdown:hover .navbar-link, .navbar-item.has-dropdown.is-active .navbar-link {
+    background-color: #fafafa; } }
+
+.hero.is-fullheight-with-navbar {
+  min-height: calc(100vh - 3.25rem); }
+
+.pagination {
+  font-size: 1rem;
+  margin: -0.25rem; }
+  .pagination.is-small, #documenter .docs-sidebar form.docs-search > input.pagination {
+    font-size: 0.75rem; }
+  .pagination.is-medium {
+    font-size: 1.25rem; }
+  .pagination.is-large {
+    font-size: 1.5rem; }
+  .pagination.is-rounded .pagination-previous, #documenter .docs-sidebar form.docs-search > input.pagination .pagination-previous,
+  .pagination.is-rounded .pagination-next,
+  #documenter .docs-sidebar form.docs-search > input.pagination .pagination-next {
+    padding-left: 1em;
+    padding-right: 1em;
+    border-radius: 290486px; }
+  .pagination.is-rounded .pagination-link, #documenter .docs-sidebar form.docs-search > input.pagination .pagination-link {
+    border-radius: 290486px; }
+
+.pagination,
+.pagination-list {
+  align-items: center;
+  display: flex;
+  justify-content: center;
+  text-align: center; }
+
+.pagination-previous,
+.pagination-next,
+.pagination-link,
+.pagination-ellipsis {
+  font-size: 1em;
+  justify-content: center;
+  margin: 0.25rem;
+  padding-left: 0.5em;
+  padding-right: 0.5em;
+  text-align: center; }
+
+.pagination-previous,
+.pagination-next,
+.pagination-link {
+  border-color: #dbdbdb;
+  color: #363636;
+  min-width: 2.25em; }
+  .pagination-previous:hover,
+  .pagination-next:hover,
+  .pagination-link:hover {
+    border-color: #b5b5b5;
+    color: #363636; }
+  .pagination-previous:focus,
+  .pagination-next:focus,
+  .pagination-link:focus {
+    border-color: #3c5dcd; }
+  .pagination-previous:active,
+  .pagination-next:active,
+  .pagination-link:active {
+    box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2); }
+  .pagination-previous[disabled],
+  .pagination-next[disabled],
+  .pagination-link[disabled] {
+    background-color: #dbdbdb;
+    border-color: #dbdbdb;
+    box-shadow: none;
+    color: #6b6b6b;
+    opacity: 0.5; }
+
+.pagination-previous,
+.pagination-next {
+  padding-left: 0.75em;
+  padding-right: 0.75em;
+  white-space: nowrap; }
+
+.pagination-link.is-current {
+  background-color: #2e63b8;
+  border-color: #2e63b8;
+  color: #fff; }
+
+.pagination-ellipsis {
+  color: #b5b5b5;
+  pointer-events: none; }
+
+.pagination-list {
+  flex-wrap: wrap; }
+
+@media screen and (max-width: 768px) {
+  .pagination {
+    flex-wrap: wrap; }
+  .pagination-previous,
+  .pagination-next {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .pagination-list li {
+    flex-grow: 1;
+    flex-shrink: 1; } }
+
+@media screen and (min-width: 769px), print {
+  .pagination-list {
+    flex-grow: 1;
+    flex-shrink: 1;
+    justify-content: flex-start;
+    order: 1; }
+  .pagination-previous {
+    order: 2; }
+  .pagination-next {
+    order: 3; }
+  .pagination {
+    justify-content: space-between; }
+    .pagination.is-centered .pagination-previous {
+      order: 1; }
+    .pagination.is-centered .pagination-list {
+      justify-content: center;
+      order: 2; }
+    .pagination.is-centered .pagination-next {
+      order: 3; }
+    .pagination.is-right .pagination-previous {
+      order: 1; }
+    .pagination.is-right .pagination-next {
+      order: 2; }
+    .pagination.is-right .pagination-list {
+      justify-content: flex-end;
+      order: 3; } }
+
+.panel {
+  font-size: 1rem; }
+  .panel:not(:last-child) {
+    margin-bottom: 1.5rem; }
+
+.panel-heading,
+.panel-tabs,
+.panel-block {
+  border-bottom: 1px solid #dbdbdb;
+  border-left: 1px solid #dbdbdb;
+  border-right: 1px solid #dbdbdb; }
+  .panel-heading:first-child,
+  .panel-tabs:first-child,
+  .panel-block:first-child {
+    border-top: 1px solid #dbdbdb; }
+
+.panel-heading {
+  background-color: whitesmoke;
+  border-radius: 4px 4px 0 0;
+  color: #222222;
+  font-size: 1.25em;
+  font-weight: 300;
+  line-height: 1.25;
+  padding: 0.5em 0.75em; }
+
+.panel-tabs {
+  align-items: flex-end;
+  display: flex;
+  font-size: 0.875em;
+  justify-content: center; }
+  .panel-tabs a {
+    border-bottom: 1px solid #dbdbdb;
+    margin-bottom: -1px;
+    padding: 0.5em; }
+    .panel-tabs a.is-active {
+      border-bottom-color: #4a4a4a;
+      color: #363636; }
+
+.panel-list a {
+  color: #222222; }
+  .panel-list a:hover {
+    color: #2e63b8; }
+
+.panel-block {
+  align-items: center;
+  color: #222222;
+  display: flex;
+  justify-content: flex-start;
+  padding: 0.5em 0.75em; }
+  .panel-block input[type="checkbox"] {
+    margin-right: 0.75em; }
+  .panel-block > .control {
+    flex-grow: 1;
+    flex-shrink: 1;
+    width: 100%; }
+  .panel-block.is-wrapped {
+    flex-wrap: wrap; }
+  .panel-block.is-active {
+    border-left-color: #2e63b8;
+    color: #363636; }
+    .panel-block.is-active .panel-icon {
+      color: #2e63b8; }
+
+a.panel-block,
+label.panel-block {
+  cursor: pointer; }
+  a.panel-block:hover,
+  label.panel-block:hover {
+    background-color: whitesmoke; }
+
+.panel-icon {
+  display: inline-block;
+  font-size: 14px;
+  height: 1em;
+  line-height: 1em;
+  text-align: center;
+  vertical-align: top;
+  width: 1em;
+  color: #6b6b6b;
+  margin-right: 0.75em; }
+  .panel-icon .fa {
+    font-size: inherit;
+    line-height: inherit; }
+
+.tabs {
+  -webkit-overflow-scrolling: touch;
+  align-items: stretch;
+  display: flex;
+  font-size: 1rem;
+  justify-content: space-between;
+  overflow: hidden;
+  overflow-x: auto;
+  white-space: nowrap; }
+  .tabs a {
+    align-items: center;
+    border-bottom-color: #dbdbdb;
+    border-bottom-style: solid;
+    border-bottom-width: 1px;
+    color: #222222;
+    display: flex;
+    justify-content: center;
+    margin-bottom: -1px;
+    padding: 0.5em 1em;
+    vertical-align: top; }
+    .tabs a:hover {
+      border-bottom-color: #222222;
+      color: #222222; }
+  .tabs li {
+    display: block; }
+    .tabs li.is-active a {
+      border-bottom-color: #2e63b8;
+      color: #2e63b8; }
+  .tabs ul {
+    align-items: center;
+    border-bottom-color: #dbdbdb;
+    border-bottom-style: solid;
+    border-bottom-width: 1px;
+    display: flex;
+    flex-grow: 1;
+    flex-shrink: 0;
+    justify-content: flex-start; }
+    .tabs ul.is-left {
+      padding-right: 0.75em; }
+    .tabs ul.is-center {
+      flex: none;
+      justify-content: center;
+      padding-left: 0.75em;
+      padding-right: 0.75em; }
+    .tabs ul.is-right {
+      justify-content: flex-end;
+      padding-left: 0.75em; }
+  .tabs .icon:first-child {
+    margin-right: 0.5em; }
+  .tabs .icon:last-child {
+    margin-left: 0.5em; }
+  .tabs.is-centered ul {
+    justify-content: center; }
+  .tabs.is-right ul {
+    justify-content: flex-end; }
+  .tabs.is-boxed a {
+    border: 1px solid transparent;
+    border-radius: 4px 4px 0 0; }
+    .tabs.is-boxed a:hover {
+      background-color: whitesmoke;
+      border-bottom-color: #dbdbdb; }
+  .tabs.is-boxed li.is-active a {
+    background-color: white;
+    border-color: #dbdbdb;
+    border-bottom-color: transparent !important; }
+  .tabs.is-fullwidth li {
+    flex-grow: 1;
+    flex-shrink: 0; }
+  .tabs.is-toggle a {
+    border-color: #dbdbdb;
+    border-style: solid;
+    border-width: 1px;
+    margin-bottom: 0;
+    position: relative; }
+    .tabs.is-toggle a:hover {
+      background-color: whitesmoke;
+      border-color: #b5b5b5;
+      z-index: 2; }
+  .tabs.is-toggle li + li {
+    margin-left: -1px; }
+  .tabs.is-toggle li:first-child a {
+    border-radius: 4px 0 0 4px; }
+  .tabs.is-toggle li:last-child a {
+    border-radius: 0 4px 4px 0; }
+  .tabs.is-toggle li.is-active a {
+    background-color: #2e63b8;
+    border-color: #2e63b8;
+    color: #fff;
+    z-index: 1; }
+  .tabs.is-toggle ul {
+    border-bottom: none; }
+  .tabs.is-toggle.is-toggle-rounded li:first-child a {
+    border-bottom-left-radius: 290486px;
+    border-top-left-radius: 290486px;
+    padding-left: 1.25em; }
+  .tabs.is-toggle.is-toggle-rounded li:last-child a {
+    border-bottom-right-radius: 290486px;
+    border-top-right-radius: 290486px;
+    padding-right: 1.25em; }
+  .tabs.is-small, #documenter .docs-sidebar form.docs-search > input.tabs {
+    font-size: 0.75rem; }
+  .tabs.is-medium {
+    font-size: 1.25rem; }
+  .tabs.is-large {
+    font-size: 1.5rem; }
+
+.column {
+  display: block;
+  flex-basis: 0;
+  flex-grow: 1;
+  flex-shrink: 1;
+  padding: 0.75rem; }
+  .columns.is-mobile > .column.is-narrow {
+    flex: none; }
+  .columns.is-mobile > .column.is-full {
+    flex: none;
+    width: 100%; }
+  .columns.is-mobile > .column.is-three-quarters {
+    flex: none;
+    width: 75%; }
+  .columns.is-mobile > .column.is-two-thirds {
+    flex: none;
+    width: 66.6666%; }
+  .columns.is-mobile > .column.is-half {
+    flex: none;
+    width: 50%; }
+  .columns.is-mobile > .column.is-one-third {
+    flex: none;
+    width: 33.3333%; }
+  .columns.is-mobile > .column.is-one-quarter {
+    flex: none;
+    width: 25%; }
+  .columns.is-mobile > .column.is-one-fifth {
+    flex: none;
+    width: 20%; }
+  .columns.is-mobile > .column.is-two-fifths {
+    flex: none;
+    width: 40%; }
+  .columns.is-mobile > .column.is-three-fifths {
+    flex: none;
+    width: 60%; }
+  .columns.is-mobile > .column.is-four-fifths {
+    flex: none;
+    width: 80%; }
+  .columns.is-mobile > .column.is-offset-three-quarters {
+    margin-left: 75%; }
+  .columns.is-mobile > .column.is-offset-two-thirds {
+    margin-left: 66.6666%; }
+  .columns.is-mobile > .column.is-offset-half {
+    margin-left: 50%; }
+  .columns.is-mobile > .column.is-offset-one-third {
+    margin-left: 33.3333%; }
+  .columns.is-mobile > .column.is-offset-one-quarter {
+    margin-left: 25%; }
+  .columns.is-mobile > .column.is-offset-one-fifth {
+    margin-left: 20%; }
+  .columns.is-mobile > .column.is-offset-two-fifths {
+    margin-left: 40%; }
+  .columns.is-mobile > .column.is-offset-three-fifths {
+    margin-left: 60%; }
+  .columns.is-mobile > .column.is-offset-four-fifths {
+    margin-left: 80%; }
+  .columns.is-mobile > .column.is-0 {
+    flex: none;
+    width: 0%; }
+  .columns.is-mobile > .column.is-offset-0 {
+    margin-left: 0%; }
+  .columns.is-mobile > .column.is-1 {
+    flex: none;
+    width: 8.3333333333%; }
+  .columns.is-mobile > .column.is-offset-1 {
+    margin-left: 8.3333333333%; }
+  .columns.is-mobile > .column.is-2 {
+    flex: none;
+    width: 16.6666666667%; }
+  .columns.is-mobile > .column.is-offset-2 {
+    margin-left: 16.6666666667%; }
+  .columns.is-mobile > .column.is-3 {
+    flex: none;
+    width: 25%; }
+  .columns.is-mobile > .column.is-offset-3 {
+    margin-left: 25%; }
+  .columns.is-mobile > .column.is-4 {
+    flex: none;
+    width: 33.3333333333%; }
+  .columns.is-mobile > .column.is-offset-4 {
+    margin-left: 33.3333333333%; }
+  .columns.is-mobile > .column.is-5 {
+    flex: none;
+    width: 41.6666666667%; }
+  .columns.is-mobile > .column.is-offset-5 {
+    margin-left: 41.6666666667%; }
+  .columns.is-mobile > .column.is-6 {
+    flex: none;
+    width: 50%; }
+  .columns.is-mobile > .column.is-offset-6 {
+    margin-left: 50%; }
+  .columns.is-mobile > .column.is-7 {
+    flex: none;
+    width: 58.3333333333%; }
+  .columns.is-mobile > .column.is-offset-7 {
+    margin-left: 58.3333333333%; }
+  .columns.is-mobile > .column.is-8 {
+    flex: none;
+    width: 66.6666666667%; }
+  .columns.is-mobile > .column.is-offset-8 {
+    margin-left: 66.6666666667%; }
+  .columns.is-mobile > .column.is-9 {
+    flex: none;
+    width: 75%; }
+  .columns.is-mobile > .column.is-offset-9 {
+    margin-left: 75%; }
+  .columns.is-mobile > .column.is-10 {
+    flex: none;
+    width: 83.3333333333%; }
+  .columns.is-mobile > .column.is-offset-10 {
+    margin-left: 83.3333333333%; }
+  .columns.is-mobile > .column.is-11 {
+    flex: none;
+    width: 91.6666666667%; }
+  .columns.is-mobile > .column.is-offset-11 {
+    margin-left: 91.6666666667%; }
+  .columns.is-mobile > .column.is-12 {
+    flex: none;
+    width: 100%; }
+  .columns.is-mobile > .column.is-offset-12 {
+    margin-left: 100%; }
+  @media screen and (max-width: 768px) {
+    .column.is-narrow-mobile {
+      flex: none; }
+    .column.is-full-mobile {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-mobile {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-mobile {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-mobile {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-mobile {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-mobile {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-mobile {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-mobile {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-mobile {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-mobile {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-mobile {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-mobile {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-mobile {
+      margin-left: 50%; }
+    .column.is-offset-one-third-mobile {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-mobile {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-mobile {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-mobile {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-mobile {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-mobile {
+      margin-left: 80%; }
+    .column.is-0-mobile {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-mobile {
+      margin-left: 0%; }
+    .column.is-1-mobile {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-mobile {
+      margin-left: 8.3333333333%; }
+    .column.is-2-mobile {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-mobile {
+      margin-left: 16.6666666667%; }
+    .column.is-3-mobile {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-mobile {
+      margin-left: 25%; }
+    .column.is-4-mobile {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-mobile {
+      margin-left: 33.3333333333%; }
+    .column.is-5-mobile {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-mobile {
+      margin-left: 41.6666666667%; }
+    .column.is-6-mobile {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-mobile {
+      margin-left: 50%; }
+    .column.is-7-mobile {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-mobile {
+      margin-left: 58.3333333333%; }
+    .column.is-8-mobile {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-mobile {
+      margin-left: 66.6666666667%; }
+    .column.is-9-mobile {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-mobile {
+      margin-left: 75%; }
+    .column.is-10-mobile {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-mobile {
+      margin-left: 83.3333333333%; }
+    .column.is-11-mobile {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-mobile {
+      margin-left: 91.6666666667%; }
+    .column.is-12-mobile {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-mobile {
+      margin-left: 100%; } }
+  @media screen and (min-width: 769px), print {
+    .column.is-narrow, .column.is-narrow-tablet {
+      flex: none; }
+    .column.is-full, .column.is-full-tablet {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters, .column.is-three-quarters-tablet {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds, .column.is-two-thirds-tablet {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half, .column.is-half-tablet {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third, .column.is-one-third-tablet {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter, .column.is-one-quarter-tablet {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth, .column.is-one-fifth-tablet {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths, .column.is-two-fifths-tablet {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths, .column.is-three-fifths-tablet {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths, .column.is-four-fifths-tablet {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters, .column.is-offset-three-quarters-tablet {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds, .column.is-offset-two-thirds-tablet {
+      margin-left: 66.6666%; }
+    .column.is-offset-half, .column.is-offset-half-tablet {
+      margin-left: 50%; }
+    .column.is-offset-one-third, .column.is-offset-one-third-tablet {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter, .column.is-offset-one-quarter-tablet {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth, .column.is-offset-one-fifth-tablet {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths, .column.is-offset-two-fifths-tablet {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths, .column.is-offset-three-fifths-tablet {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths, .column.is-offset-four-fifths-tablet {
+      margin-left: 80%; }
+    .column.is-0, .column.is-0-tablet {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0, .column.is-offset-0-tablet {
+      margin-left: 0%; }
+    .column.is-1, .column.is-1-tablet {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1, .column.is-offset-1-tablet {
+      margin-left: 8.3333333333%; }
+    .column.is-2, .column.is-2-tablet {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2, .column.is-offset-2-tablet {
+      margin-left: 16.6666666667%; }
+    .column.is-3, .column.is-3-tablet {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3, .column.is-offset-3-tablet {
+      margin-left: 25%; }
+    .column.is-4, .column.is-4-tablet {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4, .column.is-offset-4-tablet {
+      margin-left: 33.3333333333%; }
+    .column.is-5, .column.is-5-tablet {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5, .column.is-offset-5-tablet {
+      margin-left: 41.6666666667%; }
+    .column.is-6, .column.is-6-tablet {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6, .column.is-offset-6-tablet {
+      margin-left: 50%; }
+    .column.is-7, .column.is-7-tablet {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7, .column.is-offset-7-tablet {
+      margin-left: 58.3333333333%; }
+    .column.is-8, .column.is-8-tablet {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8, .column.is-offset-8-tablet {
+      margin-left: 66.6666666667%; }
+    .column.is-9, .column.is-9-tablet {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9, .column.is-offset-9-tablet {
+      margin-left: 75%; }
+    .column.is-10, .column.is-10-tablet {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10, .column.is-offset-10-tablet {
+      margin-left: 83.3333333333%; }
+    .column.is-11, .column.is-11-tablet {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11, .column.is-offset-11-tablet {
+      margin-left: 91.6666666667%; }
+    .column.is-12, .column.is-12-tablet {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12, .column.is-offset-12-tablet {
+      margin-left: 100%; } }
+  @media screen and (max-width: 1055px) {
+    .column.is-narrow-touch {
+      flex: none; }
+    .column.is-full-touch {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-touch {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-touch {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-touch {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-touch {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-touch {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-touch {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-touch {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-touch {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-touch {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-touch {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-touch {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-touch {
+      margin-left: 50%; }
+    .column.is-offset-one-third-touch {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-touch {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-touch {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-touch {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-touch {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-touch {
+      margin-left: 80%; }
+    .column.is-0-touch {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-touch {
+      margin-left: 0%; }
+    .column.is-1-touch {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-touch {
+      margin-left: 8.3333333333%; }
+    .column.is-2-touch {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-touch {
+      margin-left: 16.6666666667%; }
+    .column.is-3-touch {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-touch {
+      margin-left: 25%; }
+    .column.is-4-touch {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-touch {
+      margin-left: 33.3333333333%; }
+    .column.is-5-touch {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-touch {
+      margin-left: 41.6666666667%; }
+    .column.is-6-touch {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-touch {
+      margin-left: 50%; }
+    .column.is-7-touch {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-touch {
+      margin-left: 58.3333333333%; }
+    .column.is-8-touch {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-touch {
+      margin-left: 66.6666666667%; }
+    .column.is-9-touch {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-touch {
+      margin-left: 75%; }
+    .column.is-10-touch {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-touch {
+      margin-left: 83.3333333333%; }
+    .column.is-11-touch {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-touch {
+      margin-left: 91.6666666667%; }
+    .column.is-12-touch {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-touch {
+      margin-left: 100%; } }
+  @media screen and (min-width: 1056px) {
+    .column.is-narrow-desktop {
+      flex: none; }
+    .column.is-full-desktop {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-desktop {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-desktop {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-desktop {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-desktop {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-desktop {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-desktop {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-desktop {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-desktop {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-desktop {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-desktop {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-desktop {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-desktop {
+      margin-left: 50%; }
+    .column.is-offset-one-third-desktop {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-desktop {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-desktop {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-desktop {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-desktop {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-desktop {
+      margin-left: 80%; }
+    .column.is-0-desktop {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-desktop {
+      margin-left: 0%; }
+    .column.is-1-desktop {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-desktop {
+      margin-left: 8.3333333333%; }
+    .column.is-2-desktop {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-desktop {
+      margin-left: 16.6666666667%; }
+    .column.is-3-desktop {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-desktop {
+      margin-left: 25%; }
+    .column.is-4-desktop {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-desktop {
+      margin-left: 33.3333333333%; }
+    .column.is-5-desktop {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-desktop {
+      margin-left: 41.6666666667%; }
+    .column.is-6-desktop {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-desktop {
+      margin-left: 50%; }
+    .column.is-7-desktop {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-desktop {
+      margin-left: 58.3333333333%; }
+    .column.is-8-desktop {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-desktop {
+      margin-left: 66.6666666667%; }
+    .column.is-9-desktop {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-desktop {
+      margin-left: 75%; }
+    .column.is-10-desktop {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-desktop {
+      margin-left: 83.3333333333%; }
+    .column.is-11-desktop {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-desktop {
+      margin-left: 91.6666666667%; }
+    .column.is-12-desktop {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-desktop {
+      margin-left: 100%; } }
+  @media screen and (min-width: 1216px) {
+    .column.is-narrow-widescreen {
+      flex: none; }
+    .column.is-full-widescreen {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-widescreen {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-widescreen {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-widescreen {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-widescreen {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-widescreen {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-widescreen {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-widescreen {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-widescreen {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-widescreen {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-widescreen {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-widescreen {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-widescreen {
+      margin-left: 50%; }
+    .column.is-offset-one-third-widescreen {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-widescreen {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-widescreen {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-widescreen {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-widescreen {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-widescreen {
+      margin-left: 80%; }
+    .column.is-0-widescreen {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-widescreen {
+      margin-left: 0%; }
+    .column.is-1-widescreen {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-widescreen {
+      margin-left: 8.3333333333%; }
+    .column.is-2-widescreen {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-widescreen {
+      margin-left: 16.6666666667%; }
+    .column.is-3-widescreen {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-widescreen {
+      margin-left: 25%; }
+    .column.is-4-widescreen {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-widescreen {
+      margin-left: 33.3333333333%; }
+    .column.is-5-widescreen {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-widescreen {
+      margin-left: 41.6666666667%; }
+    .column.is-6-widescreen {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-widescreen {
+      margin-left: 50%; }
+    .column.is-7-widescreen {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-widescreen {
+      margin-left: 58.3333333333%; }
+    .column.is-8-widescreen {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-widescreen {
+      margin-left: 66.6666666667%; }
+    .column.is-9-widescreen {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-widescreen {
+      margin-left: 75%; }
+    .column.is-10-widescreen {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-widescreen {
+      margin-left: 83.3333333333%; }
+    .column.is-11-widescreen {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-widescreen {
+      margin-left: 91.6666666667%; }
+    .column.is-12-widescreen {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-widescreen {
+      margin-left: 100%; } }
+  @media screen and (min-width: 1408px) {
+    .column.is-narrow-fullhd {
+      flex: none; }
+    .column.is-full-fullhd {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-fullhd {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-fullhd {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-fullhd {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-fullhd {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-fullhd {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-fullhd {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-fullhd {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-fullhd {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-fullhd {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-fullhd {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-fullhd {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-fullhd {
+      margin-left: 50%; }
+    .column.is-offset-one-third-fullhd {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-fullhd {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-fullhd {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-fullhd {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-fullhd {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-fullhd {
+      margin-left: 80%; }
+    .column.is-0-fullhd {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-fullhd {
+      margin-left: 0%; }
+    .column.is-1-fullhd {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-fullhd {
+      margin-left: 8.3333333333%; }
+    .column.is-2-fullhd {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-fullhd {
+      margin-left: 16.6666666667%; }
+    .column.is-3-fullhd {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-fullhd {
+      margin-left: 25%; }
+    .column.is-4-fullhd {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-fullhd {
+      margin-left: 33.3333333333%; }
+    .column.is-5-fullhd {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-fullhd {
+      margin-left: 41.6666666667%; }
+    .column.is-6-fullhd {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-fullhd {
+      margin-left: 50%; }
+    .column.is-7-fullhd {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-fullhd {
+      margin-left: 58.3333333333%; }
+    .column.is-8-fullhd {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-fullhd {
+      margin-left: 66.6666666667%; }
+    .column.is-9-fullhd {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-fullhd {
+      margin-left: 75%; }
+    .column.is-10-fullhd {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-fullhd {
+      margin-left: 83.3333333333%; }
+    .column.is-11-fullhd {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-fullhd {
+      margin-left: 91.6666666667%; }
+    .column.is-12-fullhd {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-fullhd {
+      margin-left: 100%; } }
+.columns {
+  margin-left: -0.75rem;
+  margin-right: -0.75rem;
+  margin-top: -0.75rem; }
+  .columns:last-child {
+    margin-bottom: -0.75rem; }
+  .columns:not(:last-child) {
+    margin-bottom: calc(1.5rem - 0.75rem); }
+  .columns.is-centered {
+    justify-content: center; }
+  .columns.is-gapless {
+    margin-left: 0;
+    margin-right: 0;
+    margin-top: 0; }
+    .columns.is-gapless > .column {
+      margin: 0;
+      padding: 0 !important; }
+    .columns.is-gapless:not(:last-child) {
+      margin-bottom: 1.5rem; }
+    .columns.is-gapless:last-child {
+      margin-bottom: 0; }
+  .columns.is-mobile {
+    display: flex; }
+  .columns.is-multiline {
+    flex-wrap: wrap; }
+  .columns.is-vcentered {
+    align-items: center; }
+  @media screen and (min-width: 769px), print {
+    .columns:not(.is-desktop) {
+      display: flex; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-desktop {
+      display: flex; } }
+.columns.is-variable {
+  --columnGap: 0.75rem;
+  margin-left: calc(-1 * var(--columnGap));
+  margin-right: calc(-1 * var(--columnGap)); }
+  .columns.is-variable .column {
+    padding-left: var(--columnGap);
+    padding-right: var(--columnGap); }
+  .columns.is-variable.is-0 {
+    --columnGap: 0rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-0-mobile {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-0-tablet {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-0-tablet-only {
+      --columnGap: 0rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-0-touch {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-0-desktop {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-0-desktop-only {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-0-widescreen {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-0-widescreen-only {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-0-fullhd {
+      --columnGap: 0rem; } }
+  .columns.is-variable.is-1 {
+    --columnGap: 0.25rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-1-mobile {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-1-tablet {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-1-tablet-only {
+      --columnGap: 0.25rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-1-touch {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-1-desktop {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-1-desktop-only {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-1-widescreen {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-1-widescreen-only {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-1-fullhd {
+      --columnGap: 0.25rem; } }
+  .columns.is-variable.is-2 {
+    --columnGap: 0.5rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-2-mobile {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-2-tablet {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-2-tablet-only {
+      --columnGap: 0.5rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-2-touch {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-2-desktop {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-2-desktop-only {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-2-widescreen {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-2-widescreen-only {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-2-fullhd {
+      --columnGap: 0.5rem; } }
+  .columns.is-variable.is-3 {
+    --columnGap: 0.75rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-3-mobile {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-3-tablet {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-3-tablet-only {
+      --columnGap: 0.75rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-3-touch {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-3-desktop {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-3-desktop-only {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-3-widescreen {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-3-widescreen-only {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-3-fullhd {
+      --columnGap: 0.75rem; } }
+  .columns.is-variable.is-4 {
+    --columnGap: 1rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-4-mobile {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-4-tablet {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-4-tablet-only {
+      --columnGap: 1rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-4-touch {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-4-desktop {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-4-desktop-only {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-4-widescreen {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-4-widescreen-only {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-4-fullhd {
+      --columnGap: 1rem; } }
+  .columns.is-variable.is-5 {
+    --columnGap: 1.25rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-5-mobile {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-5-tablet {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-5-tablet-only {
+      --columnGap: 1.25rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-5-touch {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-5-desktop {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-5-desktop-only {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-5-widescreen {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-5-widescreen-only {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-5-fullhd {
+      --columnGap: 1.25rem; } }
+  .columns.is-variable.is-6 {
+    --columnGap: 1.5rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-6-mobile {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-6-tablet {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-6-tablet-only {
+      --columnGap: 1.5rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-6-touch {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-6-desktop {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-6-desktop-only {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-6-widescreen {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-6-widescreen-only {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-6-fullhd {
+      --columnGap: 1.5rem; } }
+  .columns.is-variable.is-7 {
+    --columnGap: 1.75rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-7-mobile {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-7-tablet {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-7-tablet-only {
+      --columnGap: 1.75rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-7-touch {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-7-desktop {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-7-desktop-only {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-7-widescreen {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-7-widescreen-only {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-7-fullhd {
+      --columnGap: 1.75rem; } }
+  .columns.is-variable.is-8 {
+    --columnGap: 2rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-8-mobile {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-8-tablet {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-8-tablet-only {
+      --columnGap: 2rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-8-touch {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-8-desktop {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-8-desktop-only {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-8-widescreen {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-8-widescreen-only {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-8-fullhd {
+      --columnGap: 2rem; } }
+.tile {
+  align-items: stretch;
+  display: block;
+  flex-basis: 0;
+  flex-grow: 1;
+  flex-shrink: 1;
+  min-height: min-content; }
+  .tile.is-ancestor {
+    margin-left: -0.75rem;
+    margin-right: -0.75rem;
+    margin-top: -0.75rem; }
+    .tile.is-ancestor:last-child {
+      margin-bottom: -0.75rem; }
+    .tile.is-ancestor:not(:last-child) {
+      margin-bottom: 0.75rem; }
+  .tile.is-child {
+    margin: 0 !important; }
+  .tile.is-parent {
+    padding: 0.75rem; }
+  .tile.is-vertical {
+    flex-direction: column; }
+    .tile.is-vertical > .tile.is-child:not(:last-child) {
+      margin-bottom: 1.5rem !important; }
+  @media screen and (min-width: 769px), print {
+    .tile:not(.is-child) {
+      display: flex; }
+    .tile.is-1 {
+      flex: none;
+      width: 8.3333333333%; }
+    .tile.is-2 {
+      flex: none;
+      width: 16.6666666667%; }
+    .tile.is-3 {
+      flex: none;
+      width: 25%; }
+    .tile.is-4 {
+      flex: none;
+      width: 33.3333333333%; }
+    .tile.is-5 {
+      flex: none;
+      width: 41.6666666667%; }
+    .tile.is-6 {
+      flex: none;
+      width: 50%; }
+    .tile.is-7 {
+      flex: none;
+      width: 58.3333333333%; }
+    .tile.is-8 {
+      flex: none;
+      width: 66.6666666667%; }
+    .tile.is-9 {
+      flex: none;
+      width: 75%; }
+    .tile.is-10 {
+      flex: none;
+      width: 83.3333333333%; }
+    .tile.is-11 {
+      flex: none;
+      width: 91.6666666667%; }
+    .tile.is-12 {
+      flex: none;
+      width: 100%; } }
+.hero {
+  align-items: stretch;
+  display: flex;
+  flex-direction: column;
+  justify-content: space-between; }
+  .hero .navbar {
+    background: none; }
+  .hero .tabs ul {
+    border-bottom: none; }
+  .hero.is-white {
+    background-color: white;
+    color: #0a0a0a; }
+    .hero.is-white a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-white strong {
+      color: inherit; }
+    .hero.is-white .title {
+      color: #0a0a0a; }
+    .hero.is-white .subtitle {
+      color: rgba(10, 10, 10, 0.9); }
+      .hero.is-white .subtitle a:not(.button),
+      .hero.is-white .subtitle strong {
+        color: #0a0a0a; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-white .navbar-menu {
+        background-color: white; } }
+    .hero.is-white .navbar-item,
+    .hero.is-white .navbar-link {
+      color: rgba(10, 10, 10, 0.7); }
+    .hero.is-white a.navbar-item:hover, .hero.is-white a.navbar-item.is-active,
+    .hero.is-white .navbar-link:hover,
+    .hero.is-white .navbar-link.is-active {
+      background-color: #f2f2f2;
+      color: #0a0a0a; }
+    .hero.is-white .tabs a {
+      color: #0a0a0a;
+      opacity: 0.9; }
+      .hero.is-white .tabs a:hover {
+        opacity: 1; }
+    .hero.is-white .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-white .tabs.is-boxed a, .hero.is-white .tabs.is-toggle a {
+      color: #0a0a0a; }
+      .hero.is-white .tabs.is-boxed a:hover, .hero.is-white .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-white .tabs.is-boxed li.is-active a, .hero.is-white .tabs.is-boxed li.is-active a:hover, .hero.is-white .tabs.is-toggle li.is-active a, .hero.is-white .tabs.is-toggle li.is-active a:hover {
+      background-color: #0a0a0a;
+      border-color: #0a0a0a;
+      color: white; }
+    .hero.is-white.is-bold {
+      background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-white.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); } }
+  .hero.is-black {
+    background-color: #0a0a0a;
+    color: white; }
+    .hero.is-black a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-black strong {
+      color: inherit; }
+    .hero.is-black .title {
+      color: white; }
+    .hero.is-black .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-black .subtitle a:not(.button),
+      .hero.is-black .subtitle strong {
+        color: white; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-black .navbar-menu {
+        background-color: #0a0a0a; } }
+    .hero.is-black .navbar-item,
+    .hero.is-black .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-black a.navbar-item:hover, .hero.is-black a.navbar-item.is-active,
+    .hero.is-black .navbar-link:hover,
+    .hero.is-black .navbar-link.is-active {
+      background-color: black;
+      color: white; }
+    .hero.is-black .tabs a {
+      color: white;
+      opacity: 0.9; }
+      .hero.is-black .tabs a:hover {
+        opacity: 1; }
+    .hero.is-black .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-black .tabs.is-boxed a, .hero.is-black .tabs.is-toggle a {
+      color: white; }
+      .hero.is-black .tabs.is-boxed a:hover, .hero.is-black .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-black .tabs.is-boxed li.is-active a, .hero.is-black .tabs.is-boxed li.is-active a:hover, .hero.is-black .tabs.is-toggle li.is-active a, .hero.is-black .tabs.is-toggle li.is-active a:hover {
+      background-color: white;
+      border-color: white;
+      color: #0a0a0a; }
+    .hero.is-black.is-bold {
+      background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-black.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } }
+  .hero.is-light {
+    background-color: whitesmoke;
+    color: #363636; }
+    .hero.is-light a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-light strong {
+      color: inherit; }
+    .hero.is-light .title {
+      color: #363636; }
+    .hero.is-light .subtitle {
+      color: rgba(54, 54, 54, 0.9); }
+      .hero.is-light .subtitle a:not(.button),
+      .hero.is-light .subtitle strong {
+        color: #363636; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-light .navbar-menu {
+        background-color: whitesmoke; } }
+    .hero.is-light .navbar-item,
+    .hero.is-light .navbar-link {
+      color: rgba(54, 54, 54, 0.7); }
+    .hero.is-light a.navbar-item:hover, .hero.is-light a.navbar-item.is-active,
+    .hero.is-light .navbar-link:hover,
+    .hero.is-light .navbar-link.is-active {
+      background-color: #e8e8e8;
+      color: #363636; }
+    .hero.is-light .tabs a {
+      color: #363636;
+      opacity: 0.9; }
+      .hero.is-light .tabs a:hover {
+        opacity: 1; }
+    .hero.is-light .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-light .tabs.is-boxed a, .hero.is-light .tabs.is-toggle a {
+      color: #363636; }
+      .hero.is-light .tabs.is-boxed a:hover, .hero.is-light .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-light .tabs.is-boxed li.is-active a, .hero.is-light .tabs.is-boxed li.is-active a:hover, .hero.is-light .tabs.is-toggle li.is-active a, .hero.is-light .tabs.is-toggle li.is-active a:hover {
+      background-color: #363636;
+      border-color: #363636;
+      color: whitesmoke; }
+    .hero.is-light.is-bold {
+      background-image: linear-gradient(141deg, #dfd8d9 0%, whitesmoke 71%, white 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-light.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #dfd8d9 0%, whitesmoke 71%, white 100%); } }
+  .hero.is-dark, .content kbd.hero {
+    background-color: #363636;
+    color: whitesmoke; }
+    .hero.is-dark a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), .content kbd.hero a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-dark strong,
+    .content kbd.hero strong {
+      color: inherit; }
+    .hero.is-dark .title, .content kbd.hero .title {
+      color: whitesmoke; }
+    .hero.is-dark .subtitle, .content kbd.hero .subtitle {
+      color: rgba(245, 245, 245, 0.9); }
+      .hero.is-dark .subtitle a:not(.button), .content kbd.hero .subtitle a:not(.button),
+      .hero.is-dark .subtitle strong,
+      .content kbd.hero .subtitle strong {
+        color: whitesmoke; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-dark .navbar-menu, .content kbd.hero .navbar-menu {
+        background-color: #363636; } }
+    .hero.is-dark .navbar-item, .content kbd.hero .navbar-item,
+    .hero.is-dark .navbar-link,
+    .content kbd.hero .navbar-link {
+      color: rgba(245, 245, 245, 0.7); }
+    .hero.is-dark a.navbar-item:hover, .content kbd.hero a.navbar-item:hover, .hero.is-dark a.navbar-item.is-active, .content kbd.hero a.navbar-item.is-active,
+    .hero.is-dark .navbar-link:hover,
+    .content kbd.hero .navbar-link:hover,
+    .hero.is-dark .navbar-link.is-active,
+    .content kbd.hero .navbar-link.is-active {
+      background-color: #292929;
+      color: whitesmoke; }
+    .hero.is-dark .tabs a, .content kbd.hero .tabs a {
+      color: whitesmoke;
+      opacity: 0.9; }
+      .hero.is-dark .tabs a:hover, .content kbd.hero .tabs a:hover {
+        opacity: 1; }
+    .hero.is-dark .tabs li.is-active a, .content kbd.hero .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-dark .tabs.is-boxed a, .content kbd.hero .tabs.is-boxed a, .hero.is-dark .tabs.is-toggle a, .content kbd.hero .tabs.is-toggle a {
+      color: whitesmoke; }
+      .hero.is-dark .tabs.is-boxed a:hover, .content kbd.hero .tabs.is-boxed a:hover, .hero.is-dark .tabs.is-toggle a:hover, .content kbd.hero .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-dark .tabs.is-boxed li.is-active a, .content kbd.hero .tabs.is-boxed li.is-active a, .hero.is-dark .tabs.is-boxed li.is-active a:hover, .hero.is-dark .tabs.is-toggle li.is-active a, .content kbd.hero .tabs.is-toggle li.is-active a, .hero.is-dark .tabs.is-toggle li.is-active a:hover {
+      background-color: whitesmoke;
+      border-color: whitesmoke;
+      color: #363636; }
+    .hero.is-dark.is-bold, .content kbd.hero.is-bold {
+      background-image: linear-gradient(141deg, #1f191a 0%, #363636 71%, #46403f 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-dark.is-bold .navbar-menu, .content kbd.hero.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #1f191a 0%, #363636 71%, #46403f 100%); } }
+  .hero.is-primary, .docstring > section > a.hero.docs-sourcelink {
+    background-color: #4eb5de;
+    color: #fff; }
+    .hero.is-primary a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), .docstring > section > a.hero.docs-sourcelink a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-primary strong,
+    .docstring > section > a.hero.docs-sourcelink strong {
+      color: inherit; }
+    .hero.is-primary .title, .docstring > section > a.hero.docs-sourcelink .title {
+      color: #fff; }
+    .hero.is-primary .subtitle, .docstring > section > a.hero.docs-sourcelink .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-primary .subtitle a:not(.button), .docstring > section > a.hero.docs-sourcelink .subtitle a:not(.button),
+      .hero.is-primary .subtitle strong,
+      .docstring > section > a.hero.docs-sourcelink .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-primary .navbar-menu, .docstring > section > a.hero.docs-sourcelink .navbar-menu {
+        background-color: #4eb5de; } }
+    .hero.is-primary .navbar-item, .docstring > section > a.hero.docs-sourcelink .navbar-item,
+    .hero.is-primary .navbar-link,
+    .docstring > section > a.hero.docs-sourcelink .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-primary a.navbar-item:hover, .docstring > section > a.hero.docs-sourcelink a.navbar-item:hover, .hero.is-primary a.navbar-item.is-active, .docstring > section > a.hero.docs-sourcelink a.navbar-item.is-active,
+    .hero.is-primary .navbar-link:hover,
+    .docstring > section > a.hero.docs-sourcelink .navbar-link:hover,
+    .hero.is-primary .navbar-link.is-active,
+    .docstring > section > a.hero.docs-sourcelink .navbar-link.is-active {
+      background-color: #39acda;
+      color: #fff; }
+    .hero.is-primary .tabs a, .docstring > section > a.hero.docs-sourcelink .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-primary .tabs a:hover, .docstring > section > a.hero.docs-sourcelink .tabs a:hover {
+        opacity: 1; }
+    .hero.is-primary .tabs li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-primary .tabs.is-boxed a, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a, .hero.is-primary .tabs.is-toggle a, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-primary .tabs.is-boxed a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a:hover, .hero.is-primary .tabs.is-toggle a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-primary .tabs.is-boxed li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a, .hero.is-primary .tabs.is-boxed li.is-active a:hover, .hero.is-primary .tabs.is-toggle li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a, .hero.is-primary .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #4eb5de; }
+    .hero.is-primary.is-bold, .docstring > section > a.hero.is-bold.docs-sourcelink {
+      background-image: linear-gradient(141deg, #1bc7de 0%, #4eb5de 71%, #5fa9e7 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-primary.is-bold .navbar-menu, .docstring > section > a.hero.is-bold.docs-sourcelink .navbar-menu {
+          background-image: linear-gradient(141deg, #1bc7de 0%, #4eb5de 71%, #5fa9e7 100%); } }
+  .hero.is-link {
+    background-color: #2e63b8;
+    color: #fff; }
+    .hero.is-link a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-link strong {
+      color: inherit; }
+    .hero.is-link .title {
+      color: #fff; }
+    .hero.is-link .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-link .subtitle a:not(.button),
+      .hero.is-link .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-link .navbar-menu {
+        background-color: #2e63b8; } }
+    .hero.is-link .navbar-item,
+    .hero.is-link .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-link a.navbar-item:hover, .hero.is-link a.navbar-item.is-active,
+    .hero.is-link .navbar-link:hover,
+    .hero.is-link .navbar-link.is-active {
+      background-color: #2958a4;
+      color: #fff; }
+    .hero.is-link .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-link .tabs a:hover {
+        opacity: 1; }
+    .hero.is-link .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-link .tabs.is-boxed a, .hero.is-link .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-link .tabs.is-boxed a:hover, .hero.is-link .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-link .tabs.is-boxed li.is-active a, .hero.is-link .tabs.is-boxed li.is-active a:hover, .hero.is-link .tabs.is-toggle li.is-active a, .hero.is-link .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #2e63b8; }
+    .hero.is-link.is-bold {
+      background-image: linear-gradient(141deg, #1b6098 0%, #2e63b8 71%, #2d51d2 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-link.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #1b6098 0%, #2e63b8 71%, #2d51d2 100%); } }
+  .hero.is-info {
+    background-color: #209cee;
+    color: #fff; }
+    .hero.is-info a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-info strong {
+      color: inherit; }
+    .hero.is-info .title {
+      color: #fff; }
+    .hero.is-info .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-info .subtitle a:not(.button),
+      .hero.is-info .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-info .navbar-menu {
+        background-color: #209cee; } }
+    .hero.is-info .navbar-item,
+    .hero.is-info .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-info a.navbar-item:hover, .hero.is-info a.navbar-item.is-active,
+    .hero.is-info .navbar-link:hover,
+    .hero.is-info .navbar-link.is-active {
+      background-color: #1190e3;
+      color: #fff; }
+    .hero.is-info .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-info .tabs a:hover {
+        opacity: 1; }
+    .hero.is-info .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-info .tabs.is-boxed a, .hero.is-info .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-info .tabs.is-boxed a:hover, .hero.is-info .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-info .tabs.is-boxed li.is-active a, .hero.is-info .tabs.is-boxed li.is-active a:hover, .hero.is-info .tabs.is-toggle li.is-active a, .hero.is-info .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #209cee; }
+    .hero.is-info.is-bold {
+      background-image: linear-gradient(141deg, #05a6d6 0%, #209cee 71%, #3287f5 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-info.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #05a6d6 0%, #209cee 71%, #3287f5 100%); } }
+  .hero.is-success {
+    background-color: #22c35b;
+    color: #fff; }
+    .hero.is-success a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-success strong {
+      color: inherit; }
+    .hero.is-success .title {
+      color: #fff; }
+    .hero.is-success .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-success .subtitle a:not(.button),
+      .hero.is-success .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-success .navbar-menu {
+        background-color: #22c35b; } }
+    .hero.is-success .navbar-item,
+    .hero.is-success .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-success a.navbar-item:hover, .hero.is-success a.navbar-item.is-active,
+    .hero.is-success .navbar-link:hover,
+    .hero.is-success .navbar-link.is-active {
+      background-color: #1ead51;
+      color: #fff; }
+    .hero.is-success .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-success .tabs a:hover {
+        opacity: 1; }
+    .hero.is-success .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-success .tabs.is-boxed a, .hero.is-success .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-success .tabs.is-boxed a:hover, .hero.is-success .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-success .tabs.is-boxed li.is-active a, .hero.is-success .tabs.is-boxed li.is-active a:hover, .hero.is-success .tabs.is-toggle li.is-active a, .hero.is-success .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #22c35b; }
+    .hero.is-success.is-bold {
+      background-image: linear-gradient(141deg, #12a02c 0%, #22c35b 71%, #1fdf83 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-success.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #12a02c 0%, #22c35b 71%, #1fdf83 100%); } }
+  .hero.is-warning {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-warning strong {
+      color: inherit; }
+    .hero.is-warning .title {
+      color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning .subtitle {
+      color: rgba(0, 0, 0, 0.9); }
+      .hero.is-warning .subtitle a:not(.button),
+      .hero.is-warning .subtitle strong {
+        color: rgba(0, 0, 0, 0.7); }
+    @media screen and (max-width: 1055px) {
+      .hero.is-warning .navbar-menu {
+        background-color: #ffdd57; } }
+    .hero.is-warning .navbar-item,
+    .hero.is-warning .navbar-link {
+      color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning a.navbar-item:hover, .hero.is-warning a.navbar-item.is-active,
+    .hero.is-warning .navbar-link:hover,
+    .hero.is-warning .navbar-link.is-active {
+      background-color: #ffd83e;
+      color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning .tabs a {
+      color: rgba(0, 0, 0, 0.7);
+      opacity: 0.9; }
+      .hero.is-warning .tabs a:hover {
+        opacity: 1; }
+    .hero.is-warning .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-warning .tabs.is-boxed a, .hero.is-warning .tabs.is-toggle a {
+      color: rgba(0, 0, 0, 0.7); }
+      .hero.is-warning .tabs.is-boxed a:hover, .hero.is-warning .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-warning .tabs.is-boxed li.is-active a, .hero.is-warning .tabs.is-boxed li.is-active a:hover, .hero.is-warning .tabs.is-toggle li.is-active a, .hero.is-warning .tabs.is-toggle li.is-active a:hover {
+      background-color: rgba(0, 0, 0, 0.7);
+      border-color: rgba(0, 0, 0, 0.7);
+      color: #ffdd57; }
+    .hero.is-warning.is-bold {
+      background-image: linear-gradient(141deg, #ffae24 0%, #ffdd57 71%, #fffa71 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-warning.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #ffae24 0%, #ffdd57 71%, #fffa71 100%); } }
+  .hero.is-danger {
+    background-color: #da0b00;
+    color: #fff; }
+    .hero.is-danger a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-danger strong {
+      color: inherit; }
+    .hero.is-danger .title {
+      color: #fff; }
+    .hero.is-danger .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-danger .subtitle a:not(.button),
+      .hero.is-danger .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-danger .navbar-menu {
+        background-color: #da0b00; } }
+    .hero.is-danger .navbar-item,
+    .hero.is-danger .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-danger a.navbar-item:hover, .hero.is-danger a.navbar-item.is-active,
+    .hero.is-danger .navbar-link:hover,
+    .hero.is-danger .navbar-link.is-active {
+      background-color: #c10a00;
+      color: #fff; }
+    .hero.is-danger .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-danger .tabs a:hover {
+        opacity: 1; }
+    .hero.is-danger .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-danger .tabs.is-boxed a, .hero.is-danger .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-danger .tabs.is-boxed a:hover, .hero.is-danger .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-danger .tabs.is-boxed li.is-active a, .hero.is-danger .tabs.is-boxed li.is-active a:hover, .hero.is-danger .tabs.is-toggle li.is-active a, .hero.is-danger .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #da0b00; }
+    .hero.is-danger.is-bold {
+      background-image: linear-gradient(141deg, #a70013 0%, #da0b00 71%, #f43500 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-danger.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #a70013 0%, #da0b00 71%, #f43500 100%); } }
+  .hero.is-small .hero-body, #documenter .docs-sidebar form.docs-search > input.hero .hero-body {
+    padding-bottom: 1.5rem;
+    padding-top: 1.5rem; }
+  @media screen and (min-width: 769px), print {
+    .hero.is-medium .hero-body {
+      padding-bottom: 9rem;
+      padding-top: 9rem; } }
+  @media screen and (min-width: 769px), print {
+    .hero.is-large .hero-body {
+      padding-bottom: 18rem;
+      padding-top: 18rem; } }
+  .hero.is-halfheight .hero-body, .hero.is-fullheight .hero-body, .hero.is-fullheight-with-navbar .hero-body {
+    align-items: center;
+    display: flex; }
+    .hero.is-halfheight .hero-body > .container, .hero.is-fullheight .hero-body > .container, .hero.is-fullheight-with-navbar .hero-body > .container {
+      flex-grow: 1;
+      flex-shrink: 1; }
+  .hero.is-halfheight {
+    min-height: 50vh; }
+  .hero.is-fullheight {
+    min-height: 100vh; }
+
+.hero-video {
+  overflow: hidden; }
+  .hero-video video {
+    left: 50%;
+    min-height: 100%;
+    min-width: 100%;
+    position: absolute;
+    top: 50%;
+    transform: translate3d(-50%, -50%, 0); }
+  .hero-video.is-transparent {
+    opacity: 0.3; }
+  @media screen and (max-width: 768px) {
+    .hero-video {
+      display: none; } }
+.hero-buttons {
+  margin-top: 1.5rem; }
+  @media screen and (max-width: 768px) {
+    .hero-buttons .button {
+      display: flex; }
+      .hero-buttons .button:not(:last-child) {
+        margin-bottom: 0.75rem; } }
+  @media screen and (min-width: 769px), print {
+    .hero-buttons {
+      display: flex;
+      justify-content: center; }
+      .hero-buttons .button:not(:last-child) {
+        margin-right: 1.5rem; } }
+.hero-head,
+.hero-foot {
+  flex-grow: 0;
+  flex-shrink: 0; }
+
+.hero-body {
+  flex-grow: 1;
+  flex-shrink: 0;
+  padding: 3rem 1.5rem; }
+
+.section {
+  padding: 3rem 1.5rem; }
+  @media screen and (min-width: 1056px) {
+    .section.is-medium {
+      padding: 9rem 1.5rem; }
+    .section.is-large {
+      padding: 18rem 1.5rem; } }
+.footer {
+  background-color: #fafafa;
+  padding: 3rem 1.5rem 6rem; }
+
+h1 .docs-heading-anchor, h1 .docs-heading-anchor:hover, h1 .docs-heading-anchor:visited, h2 .docs-heading-anchor, h2 .docs-heading-anchor:hover, h2 .docs-heading-anchor:visited, h3 .docs-heading-anchor, h3 .docs-heading-anchor:hover, h3 .docs-heading-anchor:visited, h4 .docs-heading-anchor, h4 .docs-heading-anchor:hover, h4 .docs-heading-anchor:visited, h5 .docs-heading-anchor, h5 .docs-heading-anchor:hover, h5 .docs-heading-anchor:visited, h6 .docs-heading-anchor, h6 .docs-heading-anchor:hover, h6 .docs-heading-anchor:visited {
+  color: #222222; }
+
+h1 .docs-heading-anchor-permalink, h2 .docs-heading-anchor-permalink, h3 .docs-heading-anchor-permalink, h4 .docs-heading-anchor-permalink, h5 .docs-heading-anchor-permalink, h6 .docs-heading-anchor-permalink {
+  visibility: hidden;
+  vertical-align: middle;
+  margin-left: 0.5em;
+  font-size: 0.7rem; }
+  h1 .docs-heading-anchor-permalink::before, h2 .docs-heading-anchor-permalink::before, h3 .docs-heading-anchor-permalink::before, h4 .docs-heading-anchor-permalink::before, h5 .docs-heading-anchor-permalink::before, h6 .docs-heading-anchor-permalink::before {
+    font-family: "Font Awesome 5 Free";
+    font-weight: 900;
+    content: "\f0c1"; }
+
+h1:hover .docs-heading-anchor-permalink, h2:hover .docs-heading-anchor-permalink, h3:hover .docs-heading-anchor-permalink, h4:hover .docs-heading-anchor-permalink, h5:hover .docs-heading-anchor-permalink, h6:hover .docs-heading-anchor-permalink {
+  visibility: visible; }
+
+.docs-dark-only {
+  display: none !important; }
+
+pre {
+  position: relative;
+  overflow: hidden; }
+  pre code, pre code.hljs {
+    padding: 0 0.75rem !important;
+    overflow: auto;
+    display: block; }
+  pre code:first-of-type, pre code.hljs:first-of-type {
+    padding-top: 0.5rem !important; }
+  pre code:last-of-type, pre code.hljs:last-of-type {
+    padding-bottom: 0.5rem !important; }
+  pre .copy-button {
+    opacity: 0.2;
+    transition: opacity 0.2s;
+    position: absolute;
+    right: 0em;
+    top: 0em;
+    padding: 0.5em;
+    width: 2.5em;
+    height: 2.5em;
+    background: transparent;
+    border: none;
+    font-family: "Font Awesome 5 Free";
+    color: #222222;
+    cursor: pointer;
+    text-align: center; }
+    pre .copy-button:focus, pre .copy-button:hover {
+      opacity: 1;
+      background: rgba(34, 34, 34, 0.1);
+      color: #2e63b8; }
+    pre .copy-button.success {
+      color: #259a12;
+      opacity: 1; }
+    pre .copy-button.error {
+      color: #cb3c33;
+      opacity: 1; }
+  pre:hover .copy-button {
+    opacity: 1; }
+
+.admonition {
+  background-color: #b5b5b5;
+  border-style: solid;
+  border-width: 1px;
+  border-color: #363636;
+  border-radius: 4px;
+  font-size: 1rem; }
+  .admonition strong {
+    color: currentColor; }
+  .admonition.is-small, #documenter .docs-sidebar form.docs-search > input.admonition {
+    font-size: 0.75rem; }
+  .admonition.is-medium {
+    font-size: 1.25rem; }
+  .admonition.is-large {
+    font-size: 1.5rem; }
+  .admonition.is-default {
+    background-color: #b5b5b5;
+    border-color: #363636; }
+    .admonition.is-default > .admonition-header {
+      background-color: #363636;
+      color: #fff; }
+    .admonition.is-default > .admonition-body {
+      color: #fff; }
+  .admonition.is-info {
+    background-color: #def0fc;
+    border-color: #209cee; }
+    .admonition.is-info > .admonition-header {
+      background-color: #209cee;
+      color: #fff; }
+    .admonition.is-info > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-success {
+    background-color: #bdf4d1;
+    border-color: #22c35b; }
+    .admonition.is-success > .admonition-header {
+      background-color: #22c35b;
+      color: #fff; }
+    .admonition.is-success > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-warning {
+    background-color: #fff3c5;
+    border-color: #ffdd57; }
+    .admonition.is-warning > .admonition-header {
+      background-color: #ffdd57;
+      color: rgba(0, 0, 0, 0.7); }
+    .admonition.is-warning > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-danger {
+    background-color: #ffaba7;
+    border-color: #da0b00; }
+    .admonition.is-danger > .admonition-header {
+      background-color: #da0b00;
+      color: #fff; }
+    .admonition.is-danger > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-compat {
+    background-color: #bdeff5;
+    border-color: #1db5c9; }
+    .admonition.is-compat > .admonition-header {
+      background-color: #1db5c9;
+      color: #fff; }
+    .admonition.is-compat > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+
+.admonition-header {
+  color: #fff;
+  background-color: #363636;
+  align-items: center;
+  font-weight: 700;
+  justify-content: space-between;
+  line-height: 1.25;
+  padding: 0.5rem 0.75rem;
+  position: relative; }
+  .admonition-header:before {
+    font-family: "Font Awesome 5 Free";
+    font-weight: 900;
+    margin-right: 0.75rem;
+    content: "\f06a"; }
+
+.admonition-body {
+  color: #222222;
+  padding: 0.5rem 0.75rem; }
+  .admonition-body pre {
+    background-color: whitesmoke; }
+  .admonition-body code {
+    background-color: rgba(0, 0, 0, 0.05); }
+
+.docstring {
+  margin-bottom: 1em;
+  background-color: transparent;
+  border: 1px solid #dbdbdb;
+  box-shadow: 2px 2px 3px rgba(10, 10, 10, 0.1);
+  max-width: 100%; }
+  .docstring > header {
+    display: flex;
+    flex-grow: 1;
+    align-items: stretch;
+    padding: 0.5rem 0.75rem;
+    background-color: whitesmoke;
+    box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+    box-shadow: none;
+    border-bottom: 1px solid #dbdbdb; }
+    .docstring > header code {
+      background-color: transparent; }
+    .docstring > header .docstring-binding {
+      margin-right: 0.3em; }
+    .docstring > header .docstring-category {
+      margin-left: 0.3em; }
+  .docstring > section {
+    position: relative;
+    padding: 0.75rem 0.75rem;
+    border-bottom: 1px solid #dbdbdb; }
+    .docstring > section:last-child {
+      border-bottom: none; }
+    .docstring > section > a.docs-sourcelink {
+      transition: opacity 0.3s;
+      opacity: 0;
+      position: absolute;
+      right: 0.375rem;
+      bottom: 0.375rem; }
+      .docstring > section > a.docs-sourcelink:focus {
+        opacity: 1 !important; }
+  .docstring:hover > section > a.docs-sourcelink {
+    opacity: 0.2; }
+  .docstring:focus-within > section > a.docs-sourcelink {
+    opacity: 0.2; }
+  .docstring > section:hover a.docs-sourcelink {
+    opacity: 1; }
+
+.documenter-example-output {
+  background-color: white; }
+
+.outdated-warning-overlay {
+  position: fixed;
+  top: 0;
+  left: 0;
+  right: 0;
+  box-shadow: 0 0 10px rgba(0, 0, 0, 0.3);
+  z-index: 999;
+  background-color: #ffaba7;
+  color: rgba(0, 0, 0, 0.7);
+  border-bottom: 3px solid #da0b00;
+  padding: 10px 35px;
+  text-align: center;
+  font-size: 15px; }
+  .outdated-warning-overlay .outdated-warning-closer {
+    position: absolute;
+    top: calc(50% - 10px);
+    right: 18px;
+    cursor: pointer;
+    width: 12px; }
+  .outdated-warning-overlay a {
+    color: #2e63b8; }
+    .outdated-warning-overlay a:hover {
+      color: #363636; }
+
+.content pre {
+  border: 1px solid #dbdbdb; }
+
+.content code {
+  font-weight: inherit; }
+
+.content a code {
+  color: #2e63b8; }
+
+.content h1 code, .content h2 code, .content h3 code, .content h4 code, .content h5 code, .content h6 code {
+  color: #222222; }
+
+.content table {
+  display: block;
+  width: initial;
+  max-width: 100%;
+  overflow-x: auto; }
+
+.content blockquote > ul:first-child, .content blockquote > ol:first-child, .content .admonition-body > ul:first-child, .content .admonition-body > ol:first-child {
+  margin-top: 0; }
+
+pre, code {
+  font-variant-ligatures: no-contextual; }
+
+.breadcrumb a.is-disabled {
+  cursor: default;
+  pointer-events: none; }
+  .breadcrumb a.is-disabled, .breadcrumb a.is-disabled:hover {
+    color: #222222; }
+
+.hljs {
+  background: initial !important; }
+
+.katex .katex-mathml {
+  top: 0;
+  right: 0; }
+
+.katex-display, mjx-container, .MathJax_Display {
+  margin: 0.5em 0 !important; }
+
+html {
+  -moz-osx-font-smoothing: auto;
+  -webkit-font-smoothing: auto; }
+
+li.no-marker {
+  list-style: none; }
+
+/* This file contain the overall layout.
+ *
+ * The main container is <div> that is identified by id #documenter.
+ */
+#documenter .docs-main > article {
+  overflow-wrap: break-word; }
+  #documenter .docs-main > article .math-container {
+    overflow-x: auto;
+    overflow-y: hidden; }
+
+@media screen and (min-width: 1056px) {
+  #documenter .docs-main {
+    max-width: 52rem;
+    margin-left: 20rem;
+    padding-right: 1rem; } }
+
+@media screen and (max-width: 1055px) {
+  #documenter .docs-main {
+    width: 100%; }
+    #documenter .docs-main > article {
+      max-width: 52rem;
+      margin-left: auto;
+      margin-right: auto;
+      margin-bottom: 1rem;
+      padding: 0 1rem; }
+    #documenter .docs-main > header, #documenter .docs-main > nav {
+      max-width: 100%;
+      width: 100%;
+      margin: 0; } }
+
+#documenter .docs-main header.docs-navbar {
+  background-color: white;
+  border-bottom: 1px solid #dbdbdb;
+  z-index: 2;
+  min-height: 4rem;
+  margin-bottom: 1rem;
+  display: flex; }
+  #documenter .docs-main header.docs-navbar .breadcrumb {
+    flex-grow: 1; }
+  #documenter .docs-main header.docs-navbar .docs-right {
+    display: flex;
+    white-space: nowrap; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-icon, #documenter .docs-main header.docs-navbar .docs-right .docs-label, #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+      display: inline-block; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-label {
+      padding: 0;
+      margin-left: 0.3em; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-settings-button {
+      margin: auto 0 auto 1rem; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+      font-size: 1.5rem;
+      margin: auto 0 auto 1rem; }
+  #documenter .docs-main header.docs-navbar > * {
+    margin: auto 0; }
+  @media screen and (max-width: 1055px) {
+    #documenter .docs-main header.docs-navbar {
+      position: sticky;
+      top: 0;
+      padding: 0 1rem;
+      /* For Headroom.js */
+      transition-property: top, box-shadow;
+      -webkit-transition-property: top, box-shadow;
+      /* Safari */
+      transition-duration: 0.3s;
+      -webkit-transition-duration: 0.3s;
+      /* Safari */ }
+      #documenter .docs-main header.docs-navbar.headroom--not-top {
+        box-shadow: 0.2rem 0rem 0.4rem #bbb;
+        transition-duration: 0.7s;
+        -webkit-transition-duration: 0.7s;
+        /* Safari */ }
+      #documenter .docs-main header.docs-navbar.headroom--unpinned.headroom--not-top.headroom--not-bottom {
+        top: -4.5rem;
+        transition-duration: 0.7s;
+        -webkit-transition-duration: 0.7s;
+        /* Safari */ } }
+#documenter .docs-main section.footnotes {
+  border-top: 1px solid #dbdbdb; }
+  #documenter .docs-main section.footnotes li .tag:first-child, #documenter .docs-main section.footnotes li .docstring > section > a.docs-sourcelink:first-child, #documenter .docs-main section.footnotes li .content kbd:first-child, .content #documenter .docs-main section.footnotes li kbd:first-child {
+    margin-right: 1em;
+    margin-bottom: 0.4em; }
+
+#documenter .docs-main .docs-footer {
+  display: flex;
+  flex-wrap: wrap;
+  margin-left: 0;
+  margin-right: 0;
+  border-top: 1px solid #dbdbdb;
+  padding-top: 1rem;
+  padding-bottom: 1rem; }
+  @media screen and (max-width: 1055px) {
+    #documenter .docs-main .docs-footer {
+      padding-left: 1rem;
+      padding-right: 1rem; } }
+  #documenter .docs-main .docs-footer .docs-footer-nextpage, #documenter .docs-main .docs-footer .docs-footer-prevpage {
+    flex-grow: 1; }
+  #documenter .docs-main .docs-footer .docs-footer-nextpage {
+    text-align: right; }
+  #documenter .docs-main .docs-footer .flexbox-break {
+    flex-basis: 100%;
+    height: 0; }
+  #documenter .docs-main .docs-footer .footer-message {
+    font-size: 0.8em;
+    margin: 0.5em auto 0 auto;
+    text-align: center; }
+
+#documenter .docs-sidebar {
+  display: flex;
+  flex-direction: column;
+  color: #0a0a0a;
+  background-color: whitesmoke;
+  border-right: 1px solid #dbdbdb;
+  padding: 0;
+  flex: 0 0 18rem;
+  z-index: 5;
+  font-size: 1rem;
+  position: fixed;
+  left: -18rem;
+  width: 18rem;
+  height: 100%;
+  transition: left 0.3s;
+  /* Setting up a nicer theme style for the scrollbar */ }
+  #documenter .docs-sidebar.visible {
+    left: 0;
+    box-shadow: 0.4rem 0rem 0.8rem #bbb; }
+    @media screen and (min-width: 1056px) {
+      #documenter .docs-sidebar.visible {
+        box-shadow: none; } }
+  @media screen and (min-width: 1056px) {
+    #documenter .docs-sidebar {
+      left: 0;
+      top: 0; } }
+  #documenter .docs-sidebar .docs-logo {
+    margin-top: 1rem;
+    padding: 0 1rem; }
+    #documenter .docs-sidebar .docs-logo > img {
+      max-height: 6rem;
+      margin: auto; }
+  #documenter .docs-sidebar .docs-package-name {
+    flex-shrink: 0;
+    font-size: 1.5rem;
+    font-weight: 700;
+    text-align: center;
+    white-space: nowrap;
+    overflow: hidden;
+    padding: 0.5rem 0; }
+    #documenter .docs-sidebar .docs-package-name .docs-autofit {
+      max-width: 16.2rem; }
+    #documenter .docs-sidebar .docs-package-name a, #documenter .docs-sidebar .docs-package-name a:hover {
+      color: #0a0a0a; }
+  #documenter .docs-sidebar .docs-version-selector {
+    border-top: 1px solid #dbdbdb;
+    display: none;
+    padding: 0.5rem; }
+    #documenter .docs-sidebar .docs-version-selector.visible {
+      display: flex; }
+  #documenter .docs-sidebar ul.docs-menu {
+    flex-grow: 1;
+    user-select: none;
+    border-top: 1px solid #dbdbdb;
+    padding-bottom: 1.5rem;
+    /* Managing collapsible submenus */ }
+    #documenter .docs-sidebar ul.docs-menu > li > .tocitem {
+      font-weight: bold; }
+    #documenter .docs-sidebar ul.docs-menu > li li {
+      font-size: 0.95rem;
+      margin-left: 1em;
+      border-left: 1px solid #dbdbdb; }
+    #documenter .docs-sidebar ul.docs-menu input.collapse-toggle {
+      display: none; }
+    #documenter .docs-sidebar ul.docs-menu ul.collapsed {
+      display: none; }
+    #documenter .docs-sidebar ul.docs-menu input:checked ~ ul.collapsed {
+      display: block; }
+    #documenter .docs-sidebar ul.docs-menu label.tocitem {
+      display: flex; }
+      #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-label {
+        flex-grow: 2; }
+      #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron {
+        display: inline-block;
+        font-style: normal;
+        font-variant: normal;
+        text-rendering: auto;
+        line-height: 1;
+        font-size: 0.75rem;
+        margin-left: 1rem;
+        margin-top: auto;
+        margin-bottom: auto; }
+        #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron::before {
+          font-family: "Font Awesome 5 Free";
+          font-weight: 900;
+          content: "\f054"; }
+    #documenter .docs-sidebar ul.docs-menu input:checked ~ label.tocitem .docs-chevron::before {
+      content: "\f078"; }
+    #documenter .docs-sidebar ul.docs-menu .tocitem {
+      display: block;
+      padding: 0.5rem 0.5rem; }
+      #documenter .docs-sidebar ul.docs-menu .tocitem, #documenter .docs-sidebar ul.docs-menu .tocitem:hover {
+        color: #0a0a0a;
+        background: whitesmoke; }
+    #documenter .docs-sidebar ul.docs-menu a.tocitem:hover, #documenter .docs-sidebar ul.docs-menu label.tocitem:hover {
+      color: #0a0a0a;
+      background-color: #ebebeb; }
+    #documenter .docs-sidebar ul.docs-menu li.is-active {
+      border-top: 1px solid #dbdbdb;
+      border-bottom: 1px solid #dbdbdb;
+      background-color: white; }
+      #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem, #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem:hover {
+        background-color: white;
+        color: #0a0a0a; }
+      #documenter .docs-sidebar ul.docs-menu li.is-active ul.internal .tocitem:hover {
+        background-color: #ebebeb;
+        color: #0a0a0a; }
+    #documenter .docs-sidebar ul.docs-menu > li.is-active:first-child {
+      border-top: none; }
+    #documenter .docs-sidebar ul.docs-menu ul.internal {
+      margin: 0 0.5rem 0.5rem;
+      border-top: 1px solid #dbdbdb; }
+      #documenter .docs-sidebar ul.docs-menu ul.internal li {
+        font-size: 0.85rem;
+        border-left: none;
+        margin-left: 0;
+        margin-top: 0.5rem; }
+      #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem {
+        width: 100%;
+        padding: 0; }
+        #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem::before {
+          content: "⚬";
+          margin-right: 0.4em; }
+  #documenter .docs-sidebar form.docs-search {
+    margin: auto;
+    margin-top: 0.5rem;
+    margin-bottom: 0.5rem; }
+    #documenter .docs-sidebar form.docs-search > input {
+      width: 14.4rem; }
+  @media screen and (min-width: 1056px) {
+    #documenter .docs-sidebar ul.docs-menu {
+      overflow-y: auto;
+      -webkit-overflow-scroll: touch; }
+      #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar {
+        width: .3rem;
+        background: none; }
+      #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb {
+        border-radius: 5px 0px 0px 5px;
+        background: #e0e0e0; }
+      #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb:hover {
+        background: #cccccc; } }
+  @media screen and (max-width: 1055px) {
+    #documenter .docs-sidebar {
+      overflow-y: auto;
+      -webkit-overflow-scroll: touch; }
+      #documenter .docs-sidebar::-webkit-scrollbar {
+        width: .3rem;
+        background: none; }
+      #documenter .docs-sidebar::-webkit-scrollbar-thumb {
+        border-radius: 5px 0px 0px 5px;
+        background: #e0e0e0; }
+      #documenter .docs-sidebar::-webkit-scrollbar-thumb:hover {
+        background: #cccccc; } }
+#documenter .docs-main #documenter-search-info {
+  margin-bottom: 1rem; }
+
+#documenter .docs-main #documenter-search-results {
+  list-style-type: circle;
+  list-style-position: outside; }
+  #documenter .docs-main #documenter-search-results li {
+    margin-left: 2rem; }
+  #documenter .docs-main #documenter-search-results .docs-highlight {
+    background-color: yellow; }
+
+.ansi span.sgr1 {
+  font-weight: bolder; }
+
+.ansi span.sgr2 {
+  font-weight: lighter; }
+
+.ansi span.sgr3 {
+  font-style: italic; }
+
+.ansi span.sgr4 {
+  text-decoration: underline; }
+
+.ansi span.sgr7 {
+  color: white;
+  background-color: #222222; }
+
+.ansi span.sgr8 {
+  color: transparent; }
+  .ansi span.sgr8 span {
+    color: transparent; }
+
+.ansi span.sgr9 {
+  text-decoration: line-through; }
+
+.ansi span.sgr30 {
+  color: #242424; }
+
+.ansi span.sgr31 {
+  color: #a7201f; }
+
+.ansi span.sgr32 {
+  color: #066f00; }
+
+.ansi span.sgr33 {
+  color: #856b00; }
+
+.ansi span.sgr34 {
+  color: #2149b0; }
+
+.ansi span.sgr35 {
+  color: #7d4498; }
+
+.ansi span.sgr36 {
+  color: #007989; }
+
+.ansi span.sgr37 {
+  color: gray; }
+
+.ansi span.sgr40 {
+  background-color: #242424; }
+
+.ansi span.sgr41 {
+  background-color: #a7201f; }
+
+.ansi span.sgr42 {
+  background-color: #066f00; }
+
+.ansi span.sgr43 {
+  background-color: #856b00; }
+
+.ansi span.sgr44 {
+  background-color: #2149b0; }
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diff --git a/v0.4.0/index.html b/v0.4.0/index.html
new file mode 100644
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--- /dev/null
+++ b/v0.4.0/index.html
@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Home · GeoParams.jl</title><script data-outdated-warner src="assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="assets/documenter.js"></script><script src="siteinfo.js"></script><script src="../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href><img src="assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href>GeoParams.jl</a></span></div><form class="docs-search" action="search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li class="is-active"><a class="tocitem" href>Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="man/geounit/">GeoUnit</a></li><li><a class="tocitem" href="man/nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="man/materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="man/density/">Density</a></li><li><a class="tocitem" href="man/creeplaws/">Creep laws</a></li><li><a class="tocitem" href="man/elasticity/">Elasticity</a></li><li><a class="tocitem" href="man/plasticity/">Plasticity</a></li><li><a class="tocitem" href="man/heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="man/conductivity/">Conductivity</a></li><li><a class="tocitem" href="man/latentheat/">Latent heat</a></li><li><a class="tocitem" href="man/radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="man/shearheating/">Shear heating</a></li><li><a class="tocitem" href="man/gravity/">Gravity</a></li><li><a class="tocitem" href="man/melting/">Partial Melting</a></li><li><a class="tocitem" href="man/TASclassification/">TAS classification</a></li><li><a class="tocitem" href="man/zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="man/phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="man/seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="man/strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="man/plotting/">Plotting</a></li><li><a class="tocitem" href="man/listfunctions/">List of functions</a></li><li><a class="tocitem" href="man/contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Home</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Home</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/index.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="GeoParams.jl"><a class="docs-heading-anchor" href="#GeoParams.jl">GeoParams.jl</a><a id="GeoParams.jl-1"></a><a class="docs-heading-anchor-permalink" href="#GeoParams.jl" title="Permalink"></a></h1><p>Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:</p><ul><li>Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).</li><li>Material parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. </li></ul><p>We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="man/geounit/">GeoUnit »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Thursday 20 October 2022 14:23">Thursday 20 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.0/man/TASclassification/index.html b/v0.4.0/man/TASclassification/index.html
new file mode 100644
index 000000000..ac273e12e
--- /dev/null
+++ b/v0.4.0/man/TASclassification/index.html
@@ -0,0 +1,4 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>TAS classification · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li class="is-active"><a class="tocitem" href>TAS classification</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routine"><span>Computational routine</span></a></li></ul></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>TAS classification</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>TAS classification</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/TASclassification.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="TAS-rock-classification"><a class="docs-heading-anchor" href="#TAS-rock-classification">TAS rock classification</a><a id="TAS-rock-classification-1"></a><a class="docs-heading-anchor-permalink" href="#TAS-rock-classification" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>When doing coupled petrological-geodynamic modelling, the evolution of the composition of the magma is more easily understood when a rock type is given. This routine is an implementation of the TAS diagram (Total Alkali (TA) vs Silica (S)) from Le Maitre et al., 2002.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.TASclassificationData" href="#GeoParams.TASclassification.TASclassificationData"><code>GeoParams.TASclassification.TASclassificationData</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">TASclassificationData
+
+Struct that holds default parameters for the TAS diagram</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/RockClassification/TASclassification.jl#L47-L51">source</a></section></article><h1 id="Computational-routine"><a class="docs-heading-anchor" href="#Computational-routine">Computational routine</a><a id="Computational-routine-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routine" title="Permalink"></a></h1><p>There is one routine with which you can retrieve the index of the TAS rock-type. The routine receives as an input a compositional vector [SiO2,Na2O+K2O] in wt% and sends back an index [1-15].</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.computeTASclassification" href="#GeoParams.TASclassification.computeTASclassification"><code>GeoParams.TASclassification.computeTASclassification</code></a> — <span class="docstring-category">Function</span></header><section><div><p>classIndex computeTASclassification(chemComp::AbstractArray{_T,N}, ClassTASdata::TASclassificationData)</p><p>This compute the classification of the igneous rock using TAS diagram (Total Alkali (TA) vs Silica (S)).</p><p><strong>Input:</strong></p><ul><li><code>chemComp</code> : vector rock composition in oxide wt%</li></ul><p>Output:</p><ul><li><code>classIndex</code> : an integer [0-14] corresponding to a TAS field (TASclassificationData.litho[classIndex])</li></ul><p>This routine was developed based the TAS classification of Le Maitre et al., 2002</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/RockClassification/TASclassification.jl#L113-L127">source</a></section></article><p>Using the index of the rock-type you can get the name of the corresponding volcanic rock using the following routine.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.retrieveTASrockType" href="#GeoParams.TASclassification.retrieveTASrockType"><code>GeoParams.TASclassification.retrieveTASrockType</code></a> — <span class="docstring-category">Function</span></header><section><div><p>retrieveTASrockType(index::Int64; ClassTASdata::TASclassificationData = TASclassificationData())</p><p>This retrieves the name of the volcanic rock-type using the computed index</p><p><strong>Input:</strong></p><ul><li><code>index</code> : integer [1-15]</li></ul><p>Output:</p><ul><li><code>litho</code> : a string of the name of corresponding volcanic rock</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/RockClassification/TASclassification.jl#L93-L105">source</a></section></article><p>We also provide a plotting routine, provided the <code>Plots</code> package is loaded, which produces figures such as: <img src="../assets/img/TAS_diagram.png" alt="subet3"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../melting/">« Partial Melting</a><a class="docs-footer-nextpage" href="../zirconages/">Zircon Ages »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Thursday 20 October 2022 14:23">Thursday 20 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Conductivity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Conductivity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/conductivity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Conductivity"><a class="docs-heading-anchor" href="#Conductivity">Conductivity</a><a id="Conductivity-1"></a><a class="docs-heading-anchor-permalink" href="#Conductivity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Thermal conductivity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.ConstantConductivity" href="#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantConductivity(k=3.0W/m/K)</code></pre><p>Set a constant conductivity</p><p class="math-container">\[    k  = cst\]</p><p>where <span>$k$</span> is the thermal conductivity [<span>$W/m/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Energy/Conductivity.jl#L29-L37">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington" href="#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Conductivity_Whittington()</code></pre><p>Sets a temperature-dependent conductivity following the parameterization of <em>Whittington, A.G., Hofmeister, A.M., Nabelek, P.I., 2009. Temperature-dependent thermal diffusivity of the Earth’s crust and implications for magmatism. Nature 458, 319–321. https://doi.org/10.1038/nature07818.</em>  Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us to compute </p><p class="math-container">\[    Cp = a + b T - c/T^2 \]</p><p class="math-container">\[    \kappa = d/T - e \textrm{ if } T&lt;=846K\]</p><p class="math-container">\[    \kappa = f - g*T \textrm{ if } T&gt;846K\]</p><p class="math-container">\[    \rho = 2700 kg/m^3\]</p><p class="math-container">\[    k = \kappa \rho Cp\]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/mol/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <code>T</code>:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>d = 576.3m^2/s*K      </li><li>e = 0.062m^2/s        </li><li>f = 0.732m^2/s        </li><li>g = 0.000135m^2/s/K </li></ul><p>This looks like:</p><p><img src="../assets/img/Conductivity_Whittington.png" alt="subet1"/></p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; using GeoParams, Plots
+julia&gt; p=T_Conductivity_Whittington();
+julia&gt; T,k,plt = PlotConductivity(p)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Energy/Conductivity.jl#L81-L127">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised" href="#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Conductivity_Whittington_parameterised()</code></pre><p>Sets a temperature-dependent conductivity that is  parameterization after <em>Whittington, et al.  2009</em> </p><p>The original parameterization involves quite a few parameters; this is a polynomial fit that is roughly valid from 0-1000Celcius</p><p class="math-container">\[    k [W/m/K] = -2 10^{-9} (T-Ts)^3 + 6 10^{-6} (T-Ts)^2 - 0.0062 (T-Ts) + 4\]</p><p class="math-container">\[    Ts = 273.15 K\]</p><p>where <code>T[K]</code> is the temperature in Kelvin (or the nondimensional equivalent of it).</p><p>The comparison of this parameterisation vs. the original one is: <img src="../assets/img/Conductivity_Whittington_smooth.png" alt="subet1"/></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Energy/Conductivity.jl#L218-L236">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">TP_Conductivity()</code></pre><p>Sets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for  </p><p class="math-container">\[    k = \left( a_k +  {b_k \over {T + c_k}} \right) (1 + d_k P) \]</p><p>where <span>$k$</span> is the conductivity [<span>$W/K/m$</span>], and <span>$a_k,b_k,c_k,d_k$</span> are parameters that dependent on the temperature <code>T</code> and pressure <code>P</code>:</p><ul><li><span>$a_k$</span> = 1.18Watt/K/m    </li><li><span>$b_k$</span> = 474Watt/m </li><li><span>$c_k$</span> = 77K       </li><li><span>$d_k$</span> = 0/MPa       </li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Energy/Conductivity.jl#L313-L328">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">Set_TP_Conductivity[&quot;Name of temperature(-pressure) dependent conductivity&quot;]</code></pre><p>This is a dictionary with pre-defined laws:</p><ul><li>&quot;UpperCrust&quot;    </li><li>&quot;LowerCrust&quot;</li><li>&quot;OceanicCrust&quot;</li><li>&quot;Mantle&quot;</li></ul><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; k=Set_TP_Conductivity[&quot;Mantle&quot;]
+T/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)  </code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Energy/Conductivity.jl#L351-L366">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">k = compute_conductivity(P, T, s:&lt;AbstractConductivity)</code></pre><p>Returns the thermal conductivity <code>k</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the parameterizations implemented.</p><p>Currently available:</p><ul><li>ConstantConductivity</li><li>T_Conductivity_Whittington</li><li>TP_Conductivity</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia hljs">julia&gt; T  = (250:100:1250)*K;
+julia&gt; cp = T_HeatCapacity_Whittington()
+julia&gt; Cp = ComputeHeatCapacity(0,T,cp)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Energy/Conductivity.jl#L498-L517">source</a></section><section><div><pre><code class="nohighlight hljs">compute_conductivity!(K::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},Temp::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of conductivity <code>K</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>Temp</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p>_________________________________________________________________________________________________________</p><p>compute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</p><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Energy/Conductivity.jl#L539-L551">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity!" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_conductivity(k_array::AbstractArray{&lt;:AbstractFloat,N},P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, s::ConstantConductivity) where N</code></pre><p>In-place routine to compute constant conductivity    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Energy/Conductivity.jl#L65-L69">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../heatcapacity/">« Heat Capacity</a><a class="docs-footer-nextpage" href="../latentheat/">Latent heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Thursday 20 October 2022 14:23">Thursday 20 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.0/man/contributing/index.html b/v0.4.0/man/contributing/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Contributing · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li class="is-active"><a class="tocitem" href>Contributing</a><ul class="internal"><li><a class="tocitem" href="#Style-Guide"><span>Style Guide</span></a></li></ul></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Contributing</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Contributing</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/contributing.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Contributing"><a class="docs-heading-anchor" href="#Contributing">Contributing</a><a id="Contributing-1"></a><a class="docs-heading-anchor-permalink" href="#Contributing" title="Permalink"></a></h1><p>This page details the some of the guidelines that should be followed when contributing to this package.</p><p>You can contribute for example by adding new creep laws or by adding new constitutive relationships. If you invest a bit of time now, it will save others in the community a lot of time! The simplest way to do this is by cloning the repository, and creating a new branch for your feature. Once you are happy with what you added (and after you added a test to ensure that it will keep working with future changes), create a pull request and we will evaluate &amp; merge it.</p><h2 id="Style-Guide"><a class="docs-heading-anchor" href="#Style-Guide">Style Guide</a><a id="Style-Guide-1"></a><a class="docs-heading-anchor-permalink" href="#Style-Guide" title="Permalink"></a></h2><p>Follow the style of the surrounding text when making changes. When adding new features please try to stick to the following points whenever applicable.</p><h3 id="Julia"><a class="docs-heading-anchor" href="#Julia">Julia</a><a id="Julia-1"></a><a class="docs-heading-anchor-permalink" href="#Julia" title="Permalink"></a></h3><ul><li>4-space indentation;</li><li>modules spanning entire files should not be indented, but modules that have surrounding code should;</li><li>no blank lines at the start or end of files;</li><li>do not manually align syntax such as <code>=</code> or <code>::</code> over adjacent lines;</li><li>use <code>function ... end</code> when a method definition contains more than one toplevel expression;</li><li>related short-form method definitions don&#39;t need a new line between them;</li><li>unrelated or long-form method definitions must have a blank line separating each one;</li><li>surround all binary operators with whitespace except for <code>::</code>, <code>^</code>, and <code>:</code>;</li><li>files containing a single <code>module ... end</code> must be named after the module;</li><li>method arguments should be ordered based on the amount of usage within the method body;</li><li>methods extended from other modules must follow their inherited argument order, not the above rule;</li><li>explicit <code>return</code> should be preferred except in short-form method definitions;</li><li>avoid dense expressions where possible e.g. prefer nested <code>if</code>s over complex nested <code>?</code>s;</li><li>include a trailing <code>,</code> in vectors, tuples, or method calls that span several lines;</li><li>do not use multiline comments (<code>#=</code> and <code>=#</code>);</li><li>wrap long lines as near to 92 characters as possible, this includes docstrings;</li><li>follow the standard naming conventions used in <code>Base</code>.</li></ul><h3 id="Markdown"><a class="docs-heading-anchor" href="#Markdown">Markdown</a><a id="Markdown-1"></a><a class="docs-heading-anchor-permalink" href="#Markdown" title="Permalink"></a></h3><ul><li>Use unbalanced <code>#</code> headers, i.e. no <code>#</code> on the right hand side of the header text;</li><li>include a single blank line between toplevel blocks;</li><li>unordered lists must use <code>*</code> bullets with two preceding spaces;</li><li>do <em>not</em> hard wrap lines;</li><li>use emphasis (<code>*</code>) and bold (<code>**</code>) sparingly;</li><li>always use fenced code blocks instead of indented blocks;</li><li>follow the conventions outlined in the Julia documentation page on documentation.</li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../listfunctions/">« List of functions</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Thursday 20 October 2022 14:23">Thursday 20 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.0/man/creeplaws/index.html b/v0.4.0/man/creeplaws/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Creep laws · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li class="is-active"><a class="tocitem" href>Creep laws</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Implemented-creep-laws"><span>Implemented creep laws</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-for-creep-laws"><span>Computational routines for creep laws</span></a></li></ul></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Creep laws</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Creep laws</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/creeplaws.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="CreepLaws"><a class="docs-heading-anchor" href="#CreepLaws">CreepLaws</a><a id="CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#CreepLaws" title="Permalink"></a></h1><h1 id="Implemented-creep-laws"><a class="docs-heading-anchor" href="#Implemented-creep-laws">Implemented creep laws</a><a id="Implemented-creep-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-creep-laws" title="Permalink"></a></h1><p>The following viscous creep laws are implemented:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">LinearViscous(η=1e20Pa*s)</code></pre><p>Defines a linear viscous creeplaw </p><p>The (isotopic) linear viscous rheology is given by  </p><p class="math-container">\[    \tau_{ij} = 2 \eta \dot{\varepsilon}_{ij} \]</p><p>or</p><p class="math-container">\[    \dot{\varepsilon}_{ij}  = {\tau_{ij}  \over 2 \eta }\]</p><p>where <span>$\eta_0$</span> is the reference viscosity [Pa*s] at reference strain rate <span>$\dot{\varepsilon}_0$</span>[1/s], and <span>$n$</span> the power law exponent []. </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/CreepLaw/CreepLaw.jl#L55-L70">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)</code></pre><p>Defines a power law viscous creeplaw as: </p><p class="math-container">\[    \tau_{ij}^n  = 2 \eta_0 \left( \dot{\varepsilon}_{ij} \over \dot{\varepsilon}_0 \right)\]</p><p>where <span>$\eta$</span> is the effective viscosity [Pa*s].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/CreepLaw/CreepLaw.jl#L272-L281">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DislocationCreep(n = 1.0NoUnits, r = 0.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )</code></pre><p>Defines the flow law parameter of a dislocation creep law.</p><p>The (isotropic) dislocation creep law, as used by experimentalists, is given by  </p><p class="math-container">\[     \dot{\gamma} = A \sigma_\mathrm{d}^n f_\mathrm{H2O}^r \exp\left(-\frac{E+PV}{RT}\right)\]</p><p>where </p><ul><li><span>$n$</span> is the power law exponent  </li><li><span>$r$</span> is the exponent of fugacity dependence </li><li><span>$A$</span> is a pre-exponential factor <span>$[\mathrm{MPa}^{-n}s^{-1}]$</span> (if manually defined, <span>$n$</span> and <span>$r$</span> must be either pre-defined or substituted) </li><li><span>$E$</span> is the activation energy <span>$\mathrm{[kJ/mol]}$</span> </li><li><span>$V$</span> is the activation volume <span>$\mathrm{[m^3/mol]}$</span> </li><li><span>$\dot{\gamma}$</span> is the strain rate <span>$\mathrm{[1/s]}$</span> </li><li><span>$\sigma_\mathrm{d}$</span> is the differential stress <span>$\mathrm{[MPa]}$</span> which are converted into second invariants using the <code>Apparatus</code> variable that can be</li></ul><p>either <code>AxialCompression</code>, <code>SimpleShear</code> or <code>Invariant</code>. If the flow law paramters are already given as a function of second invariants, choose <code>Apparatus=Invariant</code>.</p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; x2 = DislocationCreep(n=3)
+DislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/CreepLaw/DislocationCreep.jl#L18-L42">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetDislocationCreep[&quot;Name of Dislocation Creep&quot;]</code></pre><p>Sets predefined dislocation creep data from a dictionary</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/CreepLaw/Data/DislocationCreep.jl#L2-L7">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DiffusionCreep(r = 0NoUnits, p = A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )</code></pre><p>Defines the flow law parameter of a dislocation creep law.</p><p>The (isotropic) diffusion creep law, as used by experimentalists, is given by  </p><p class="math-container">\[     \dot{\gamma} = A \sigma_\mathrm{d} d^{\mathrm{p}} f_\mathrm{H2O}^r \exp\left(-\frac{E+PV}{RT}\right)\]</p><p>where </p><ul><li><span>$r$</span> is the exponent of fugacity dependence </li><li><span>$p$</span> is the exponent of grain size</li><li><span>$A$</span> is a pre-exponential factor <span>$[\mathrm{MPa}^{-n}s^{-1}]$</span> (if manually defined, <span>$n$</span> and <span>$r$</span> must be either pre-defined or substituted) </li><li><span>$E$</span> is the activation energy <span>$\mathrm{[kJ/mol]}$</span> </li><li><span>$V$</span> is the activation volume <span>$\mathrm{[m^3/mol]}$</span> </li><li><span>$\dot{\gamma}$</span> is the strain rate <span>$\mathrm{[1/s]}$</span> </li><li><span>$\sigma_\mathrm{d}$</span> is the differential stress <span>$\mathrm{[MPa]}$</span></li></ul><p>The experimental paramaters are converted into second invariants using the <code>Apparatus</code> variable that can be either <code>AxialCompression</code>, <code>SimpleShear</code> or <code>Invariant</code>. If the flow law paramters are already given as a function of second invariants, choose <code>Apparatus=Invariant</code>.</p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; x2 = DiffusionCreep(Name=&quot;test&quot;)
+DiffusionCreep: Name = test, n=1.0, r=0.0, p=-3.0, A=1.5 m³·⁰ MPa⁻¹·⁰ s⁻¹·⁰, E=500.0 kJ mol⁻¹·⁰, V=2.4e-5 m³·⁰ mol⁻¹·⁰, FT=1.7320508075688772, FE=1.1547005383792517)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/CreepLaw/DiffusionCreep.jl#L23-L49">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetDiffusionCreep[&quot;Name of Diffusion Creep&quot;]</code></pre><p>This is a dictionary with pre-defined creep laws    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/CreepLaw/Data/DiffusionCreep.jl#L4-L7">source</a></section></article><h1 id="Computational-routines-for-creep-laws"><a class="docs-heading-anchor" href="#Computational-routines-for-creep-laws">Computational routines for creep laws</a><a id="Computational-routines-for-creep-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines-for-creep-laws" title="Permalink"></a></h1><p>Once a creep rheology is defined, we can use the following routines to perform computations within the solvers</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>CreepLawVariables</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_εII(a::DiffusionCreep, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)</code></pre><p>Returns diffusion creep strainrate as a function of 2nd invariant of the stress tensor <span>$\tau_{II}$</span> </p><p class="math-container">\[    \dot{ε}_{II} = A τ_{II}^n d^{p} f_{H_2O}^r \exp \left(- {{E + PV} \over RT} \right)\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/CreepLaw/DiffusionCreep.jl#L168-L177">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(s::ConstantElasticity{_T}, τII; τII_old, dt)</code></pre><p>Computes elastic strainrate given the deviatoric stress at the current (<code>τII</code>) and old timestep (<code>τII_old</code>), for a timestep <code>dt</code>:</p><p class="math-container">\[    \dot{\varepsilon}^{el} = {1 \over 2 G} {D \tau_{II} \over Dt } ≈ {1 \over 2 G} {\tau_{II}- \tilde{\tau}_{II}^{old} \over dt }\]</p><p>Note that we here solve the scalar equation, which is sufficient for isotropic cases. In tensor form, it would be</p><p class="math-container">\[    {\dot{\varepsilon}^{el}}_{ij} = {1 \over 2 G} { \tau_{ij} - \tilde{{\tau_{ij}}}^{old} \over dt }\]</p><p>here <span>$\tilde{{\tau_{ij}}}^{old}$</span> is the rotated old deviatoric stress tensor to ensure objectivity (this can be done with Jaumann derivative, or also by using the full rotational formula).</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Elasticity/Elasticity.jl#L88-L102">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(p::DruckerPrager{_T,U,U1}, λdot::_T, τII::_T,  P)</code></pre><p>This computes plastic strain rate invariant for a given <span>$λdot$</span></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Plasticity/Plasticity.jl#L140-L144">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::Parallel{T,N}, τII, args; tol=1e-6, verbose=false, n=1)</code></pre><p>Computing <code>εII</code> as a function of <code>τII</code> for a Parallel elements is (usually) a nonlinear problem</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/CompositeRheologies.jl#L148-L152">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::CompositeRheology{T,N}, τII, args; tol=1e-6, verbose=false, n=1)</code></pre><p>Computing <code>εII</code> as a function of <code>τII</code> for a composite element is the sum of the individual contributions</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/CompositeRheologies.jl#L163-L167">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::AbstractPlasticity, τII::_T, args; tol=1e-6, verbose=true)</code></pre><p>Performs local iterations to compute the plastic strainrate. Note that the non-plastic strainrate, ε_np, should be part of <code>args</code></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/CompositeRheologies.jl#L448-L452">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)</code></pre><p>Computes strainrate as a function of stress</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/CreepLaw/DiffusionCreep.jl#L202-L206">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, s::LinearViscous, TauII::AbstractArray{_T,N})</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/CreepLaw/CreepLaw.jl#L88-L91">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, s::ArrheniusType, TauII::AbstractArray{_T,N})</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/CreepLaw/CreepLaw.jl#L193-L196">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(ε_el::AbstractArray{_T,N}, s::ConstantElasticity{_T}; τII::AbstractArray{_T,N}, τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)</code></pre><p>In-place computation of the elastic shear strainrate for given deviatoric stress invariants at the previous (<code>τII_old</code>) and new (<code>τII</code>) timestep, as well as the timestep <code>dt</code>  </p><p class="math-container">\[    \dot{\varepsilon}^{el} = {1 \over 2 G} {D \tau_{II} \over Dt } ≈ {1 \over 2 G} {\tau_{II}- \tau_{II}^{old} \over dt }\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Elasticity/Elasticity.jl#L132-L141">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_τII(a::DislocationCreep, EpsII; P, T, f, args...)</code></pre><p>Computes the stress for a Dislocation creep law given a certain strain rate</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/CreepLaw/DislocationCreep.jl#L225-L230">source</a></section><section><div><pre><code class="nohighlight hljs">computeCreepLaw_TauII(EpsII::_T, a::DiffusionCreep; T::_T, P=zero(_T), f=one(_T), d=one(_T), kwargs...)</code></pre><p>Returns diffusion creep stress as a function of 2nd invariant of the strain rate </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/CreepLaw/DiffusionCreep.jl#L262-L266">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(s::LinearViscous, EpsII; kwargs...)</code></pre><p>Returns second invariant of the stress tensor given a 2nd invariant of strain rate tensor </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/CreepLaw/CreepLaw.jl#L114-L118">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(s::ArrheniusType, EpsII; kwargs...)</code></pre><p>Returns second invariant of the stress tensor given a 2nd invariant of strain rate tensor </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/CreepLaw/CreepLaw.jl#L221-L225">source</a></section><section><div><pre><code class="nohighlight hljs">τII = compute_τII(v::CompositeRheology{T,N}, εII, args; tol=1e-6, verbose=false)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/CompositeRheologies.jl#L216-L219">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_τII!(TauII::AbstractArray{_T,N}, a::DislocationCreep, EpsII::AbstractArray{_T,N}; 
+    P =       zero(TauII)::AbstractArray{_T,N}, 
+    T = ones(size(TauII))::AbstractArray{_T,N}, 
+    f = ones(size(TauII))::AbstractArray{_T,N})</code></pre><p>Computes the deviatoric stress invariant for a dislocation creep law</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/CreepLaw/DislocationCreep.jl#L261-L268">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII!(τII::AbstractArray{_T,N}, s::ConstantElasticity{_T}. ε_el::AbstractArray{_T,N}; τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)</code></pre><p>In-place update of the elastic stress for given deviatoric strainrate invariants and stres invariant at the old (<code>τII_old</code>) timestep, as well as the timestep <code>dt</code>  </p><p class="math-container">\[    \tau_{II} = 2 G dt \dot{\varepsilon}^{el} + \tau_{II}^{old}\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Elasticity/Elasticity.jl#L156-L165">source</a></section></article><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.CorrectionFactor</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.RemoveTensorCorrection</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../density/">« Density</a><a class="docs-footer-nextpage" href="../elasticity/">Elasticity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Thursday 20 October 2022 14:23">Thursday 20 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Density</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Density</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/density.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Density"><a class="docs-heading-anchor" href="#Density">Density</a><a id="Density-1"></a><a class="docs-heading-anchor-permalink" href="#Density" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>The density equation of state can be specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.ConstantDensity" href="#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantDensity(ρ=2900kg/m^3)</code></pre><p>Set a constant density:</p><p class="math-container">\[    \rho  = cst\]</p><p>where <span>$\rho$</span> is the density [<span>$kg/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Density/Density.jl#L38-L46">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.PT_Density" href="#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)</code></pre><p>Set a pressure and temperature-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 (1.0 - \alpha (T-T_0) + \beta  (P-P_0) )  \]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference temperature <span>$T_0$</span> and pressure <span>$P_0$</span>, <span>$\alpha$</span> is the temperature dependence of density and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Density/Density.jl#L81-L90">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.Compressible_Density" href="#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)</code></pre><p>Set a pressure-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 \exp(β*(P - P\_0))  \]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference pressure <span>$P_0$</span> and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Density/Density.jl#L132-L140">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To evaluate density within a user routine, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density" href="#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_density(P,T, s::PhaseDiagram_LookupTable)</code></pre><p>Interpolates density as a function of <code>T,P</code> from a lookup table  </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Density/Density.jl#L180-L183">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density!" href="#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I&lt;:Integer}</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; MatParam = (SetMaterialParams(Name=&quot;Mantle&quot;, Phase=1,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                        Density   = PT_Density()
+                        ),
+                    SetMaterialParams(Name=&quot;Crust&quot;, Phase=2,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),
+                        Density   = ConstantDensity(ρ=2900kg/m^3))
+                  );
+julia&gt; Phases = ones(Int64,400,400);
+julia&gt; Phases[:,20:end] .= 2
+julia&gt; rho     = zeros(size(Phases))
+julia&gt; T       =  ones(size(Phases))
+julia&gt; P       =  ones(size(Phases))*10
+julia&gt; compute_density!(rho, MatParam, Phases, P, T)
+julia&gt; rho
+400×400 Matrix{Float64}:
+2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮                            
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0</code></pre><p>The routine is made to minimize allocations:</p><pre><code class="language-julia hljs">julia&gt; using BenchmarkTools
+julia&gt; @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)
+    203.468 μs (0 allocations: 0 bytes)</code></pre><p>_____________________________________________________________________________________________________________________________   </p><pre><code class="nohighlight hljs">compute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Density/Density.jl#L209-L273">source</a></section></article><p>Note that density values are usually not used in itself in the governing PDE&#39;s, but usually in combination with other parameters, such as <span>$\rho g$</span> or <span>$\rho c_p$</span>. the non-dimensional value of <span>$\rho$</span> may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../materialparameters/">« Material Parameters</a><a class="docs-footer-nextpage" href="../creeplaws/">Creep laws »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Thursday 20 October 2022 14:23">Thursday 20 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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new file mode 100644
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Elasticity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Elasticity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Elasticity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/elasticity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Elasticity"><a class="docs-heading-anchor" href="#Elasticity">Elasticity</a><a id="Elasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Elasticity" title="Permalink"></a></h1><p>Elasticity is, in geodynamics, often used in combination with viscous and plastic rheology.</p><h1 id="Implemented-laws"><a class="docs-heading-anchor" href="#Implemented-laws">Implemented laws</a><a id="Implemented-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-laws" title="Permalink"></a></h1><p>We provide the following elastic constitutive relationships:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantElasticity(G, ν, K, E)</code></pre><p>Structure that holds parameters for constant, isotropic, linear elasticity.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Elasticity/Elasticity.jl#L26-L30">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetConstantElasticity(; G=nothing, ν=nothing, E=nothing, Kb=nothing)</code></pre><p>This allows setting elastic parameters by specifying 2 out of the 4 elastic parameters <code>G</code> (Elastic shear modulus), <code>ν</code> (Poisson&#39;s ratio), <code>E</code> (Young&#39;s modulus), or <code>Kb</code> (bulk modulus).</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Elasticity/Elasticity.jl#L42-L46">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>We can compute the elastic strainrate with:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_εII</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_εII!</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../creeplaws/">« Creep laws</a><a class="docs-footer-nextpage" href="../plasticity/">Plasticity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Thursday 20 October 2022 14:23">Thursday 20 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.0/man/geounit/index.html b/v0.4.0/man/geounit/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>GeoUnit · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li class="is-active"><a class="tocitem" href>GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>GeoUnit</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>GeoUnit</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/geounit.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="GeoUnit"><a class="docs-heading-anchor" href="#GeoUnit"><code>GeoUnit</code></a><a id="GeoUnit-1"></a><a class="docs-heading-anchor-permalink" href="#GeoUnit" title="Permalink"></a></h1><p>Most parameters have physical units (100km, 9.81 ms⁻²). Yet, within numerical solvers it is usually not a good idea to compute with the actual SI units as they (at least in geosciences) tend to result in very large/small numbers, which can cause in roundoff errors.  Therefore, we usually convert the dimensional units into non-dimensional ones befeore starting computations. The results can than be converted back to more convenient units for us when we generate the output (plots, for example).</p><p>This requires a way to store the dimensions of a parameter, but also, once they are made nondimensional, the original units (otherwise we can&#39;t convert them back to dimensional values).</p><p>For that reason, we use the <code>GeoUnit</code> structure, defined as </p><pre><code class="language-julia hljs">struct GeoUnit{T,U}
+    val          :: T
+    unit         :: U
+    isdimensional:: Bool
+end</code></pre><p>You can define a GeoUnit as:</p><pre><code class="language-julia hljs">julia&gt; a = GeoUnit(100km)
+GeoUnit{dimensional, km}, 
+100.0
+julia&gt; b=GeoUnit(100s)
+GeoUnit{dimensional, s}, 
+100.0</code></pre><p>Dividing the two gives the expected result</p><pre><code class="language-julia hljs">julia&gt; c=a/b
+GeoUnit{dimensional, km s⁻¹·⁰}, 
+1.0</code></pre><p>Can also be a vector:</p><pre><code class="language-julia hljs">julia&gt; T = GeoUnit(100K:10.0K:1000K)
+GeoUnit{dimensional, K}, 
+100.0:10.0:1000.0</code></pre><p>The numerical value is obtained with:</p><pre><code class="language-julia hljs">julia&gt; NumValue(c)
+1.0</code></pre><p>It&#39;s unit with</p><pre><code class="language-julia hljs">julia&gt; Unit(c)
+km s⁻¹·⁰</code></pre><p>and the value with unit with</p><pre><code class="language-julia hljs">julia&gt; Value(c)
+1.0 km s⁻¹·⁰</code></pre><p>If you multiply or divide a <code>GeoUnit</code> with a normal number, we assume that you are no longer interested in the units and you&#39;ll get a Float64:</p><pre><code class="language-julia hljs">julia&gt; c*100
+100.0</code></pre><p>The value of the <code>GeoUnit</code> struct becomes clear once we non-dimensionalize it (as explained in more detail in a separate page). For that, first specify which characteristic values you want to use for non-dimensionalisation: </p><pre><code class="language-julia hljs">julia&gt; CharDim = GEO_units(length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas);</code></pre><p>Let&#39;s define a stress:</p><pre><code class="language-julia hljs">julia&gt; σ=GeoUnit(10MPa)
+GeoUnit{dimensional, MPa}, 
+10.0</code></pre><p>And transfer it to nondimensional units:</p><pre><code class="language-julia hljs">julia&gt; σ_nd = nondimensionalize(σ,CharDim)
+GeoUnit{nondimensional, MPa}, 
+0.9999999999999998</code></pre><p>Instead of 1e7 Pa, we now have 1.0; yet at the same time we know that the original unit of σ_nd was in MPa, which allows to transfer it back to dimensional units:</p><pre><code class="language-julia hljs">julia&gt; dimensionalize(σ_nd,CharDim)
+GeoUnit{dimensional, MPa}, 
+10.0</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../">« Home</a><a class="docs-footer-nextpage" href="../nondimensionalize/">Nondimensionalization »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Thursday 20 October 2022 14:23">Thursday 20 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.0/man/gravity/index.html b/v0.4.0/man/gravity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Gravity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li class="is-active"><a class="tocitem" href>Gravity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Gravity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Gravity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/gravity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Gravitational-acceleration"><a class="docs-heading-anchor" href="#Gravitational-acceleration">Gravitational acceleration</a><a id="Gravitational-acceleration-1"></a><a class="docs-heading-anchor-permalink" href="#Gravitational-acceleration" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Gravitational acceleration is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">GravityConstant(g=9.81m/s^2)</code></pre><p>Set a constant value for the gravitational acceleration:</p><p class="math-container">\[    g  = 9.81 m s^{-2}\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/GravitationalAcceleration/GravitationalAcceleration.jl#L18-L25">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a> — <span class="docstring-category">Function</span></header><section><div><p>compute_gravity(s:&lt;AbstractGravity)</p><p>Returns the gravitational acceleration </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/GravitationalAcceleration/GravitationalAcceleration.jl#L59-L64">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../shearheating/">« Shear heating</a><a class="docs-footer-nextpage" href="../melting/">Partial Melting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Thursday 20 October 2022 14:23">Thursday 20 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.0/man/heatcapacity/index.html b/v0.4.0/man/heatcapacity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Heat Capacity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Heat Capacity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Heat Capacity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/heatcapacity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Heat-capacity"><a class="docs-heading-anchor" href="#Heat-capacity">Heat capacity</a><a id="Heat-capacity-1"></a><a class="docs-heading-anchor-permalink" href="#Heat-capacity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Heat capacity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity" href="#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantHeatCapacity(cp=1050J/mol/kg)</code></pre><p>Set a constant heat capacity:</p><p class="math-container">\[    cp  = cst\]</p><p>where <span>$cp$</span> is the thermal heat capacity [<span>$J/kg/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Energy/HeatCapacity.jl#L26-L34">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington" href="#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_HeatCapacity_Whittington()</code></pre><p>Sets a temperature-dependent heat capacity following the parameterization of Whittington et al. (2009), Nature:</p><p class="math-container">\[    Cp = (a + b T - c/T^2)/m \]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/kg/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <code>T</code>:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>molmass =   0.22178kg/mol </li></ul><p>Note that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than <span>$J/mol/K$</span> as in eq.3/4 of the paper)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Energy/HeatCapacity.jl#L59-L77">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">Cp = compute_heatcapacity(s:&lt;AbstractHeatCapacity, P, T)</code></pre><p>Returns the heat capacity <code>Cp</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the heat capacity laws implemented.</p><p>Currently available:</p><ul><li>ConstantHeatCapacity</li><li>T_HeatCapacity_Whittington</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia hljs">julia&gt; T  = (250:100:1250)*K;
+julia&gt; cp = T_HeatCapacity_Whittington()
+julia&gt; Cp = ComputeHeatCapacity(0,T,cp)
+11-element Vector{Unitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:
+  635.4269997294616 J kg⁻¹ K⁻¹
+  850.7470171764261 J kg⁻¹ K⁻¹
+  962.0959598489883 J kg⁻¹ K⁻¹
+ 1037.5420433770641 J kg⁻¹ K⁻¹
+ 1097.3517921966488 J kg⁻¹ K⁻¹
+ 1149.2745563671706 J kg⁻¹ K⁻¹
+ 1157.7915050948404 J kg⁻¹ K⁻¹
+ 1172.3554874197264 J kg⁻¹ K⁻¹
+ 1186.9194697445964 J kg⁻¹ K⁻¹
+  1201.483452069455 J kg⁻¹ K⁻¹
+ 1216.0474343943067 J kg⁻¹ K⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Energy/HeatCapacity.jl#L145-L175">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_heatcapacity!(Cp::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat})</code></pre><p>In-place computation of heat capacity <code>Cp</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Energy/HeatCapacity.jl#L197-L202">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plasticity/">« Plasticity</a><a class="docs-footer-nextpage" href="../conductivity/">Conductivity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Thursday 20 October 2022 14:23">Thursday 20 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.0/man/latentheat/index.html b/v0.4.0/man/latentheat/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Latent heat · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li class="is-active"><a class="tocitem" href>Latent heat</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Latent heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Latent heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/latentheat.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Latent-heat"><a class="docs-heading-anchor" href="#Latent-heat">Latent heat</a><a id="Latent-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Latent-heat" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Latent heat (of crystallisation) is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat" href="#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantLatentHeat(Q_L=400kJ/kg)</code></pre><p>Set a constant latent heat:</p><p class="math-container">\[    Q_L  = cst\]</p><p>where <span>$Q_L$</span> is the latent heat [<span>$kJ/kg$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Energy/LatentHeat.jl#L22-L30">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.LatentHeat.compute_latent_heat</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../conductivity/">« Conductivity</a><a class="docs-footer-nextpage" href="../radioactiveheating/">Radioactive heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Thursday 20 October 2022 14:23">Thursday 20 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.0/man/listfunctions/index.html b/v0.4.0/man/listfunctions/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>List of functions · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li class="is-active"><a class="tocitem" href>List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>List of functions</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>List of functions</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/listfunctions.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="List-of-all-functions"><a class="docs-heading-anchor" href="#List-of-all-functions">List of all functions</a><a id="List-of-all-functions-1"></a><a class="docs-heading-anchor-permalink" href="#List-of-all-functions" title="Permalink"></a></h1><p>This page details the some of the guidelines that should be followed when contributing to this package.</p><ul><li><a href="../nondimensionalize/#GeoParams.Units"><code>GeoParams.Units</code></a></li><li><a href="../strengthenvelope/#GeoParams.ConstTemp"><code>GeoParams.ConstTemp</code></a></li><li><a href="../strengthenvelope/#GeoParams.HalfspaceCoolTemp"><code>GeoParams.HalfspaceCoolTemp</code></a></li><li><a href="../strengthenvelope/#GeoParams.LinTemp"><code>GeoParams.LinTemp</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington</code></a></li><li><a href="../latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a></li><li><a href="../phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_4thOrder"><code>GeoParams.MeltingParam.MeltingParam_4thOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_5thOrder"><code>GeoParams.MeltingParam.MeltingParam_5thOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Assimilation"><code>GeoParams.MeltingParam.MeltingParam_Assimilation</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Quadratic"><code>GeoParams.MeltingParam.MeltingParam_Quadratic</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.SmoothMelting"><code>GeoParams.MeltingParam.SmoothMelting</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.TASclassificationData"><code>GeoParams.TASclassification.TASclassificationData</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.ZirconAgeData"><code>GeoParams.ZirconAges.ZirconAgeData</code></a></li><li><a href="../strengthenvelope/#GeoParams.CompTempStruct"><code>GeoParams.CompTempStruct</code></a></li><li><a href="../strengthenvelope/#GeoParams.LithPres"><code>GeoParams.LithPres</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_dϕdT"><code>GeoParams.MeltingParam.compute_dϕdT</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_dϕdT!"><code>GeoParams.MeltingParam.compute_dϕdT!</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a></li><li><a href="../phasediagrams/#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a></li><li><a href="../strengthenvelope/#GeoParams.StrengthEnvelopeComp"><code>GeoParams.StrengthEnvelopeComp</code></a></li><li><a href="../strengthenvelope/#GeoParams.StrengthEnvelopePlot"><code>GeoParams.StrengthEnvelopePlot</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.computeTASclassification"><code>GeoParams.TASclassification.computeTASclassification</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.retrieveTASrockType"><code>GeoParams.TASclassification.retrieveTASrockType</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.compute_zircon_age_PDF"><code>GeoParams.ZirconAges.compute_zircon_age_PDF</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.compute_zircons_Ttpath"><code>GeoParams.ZirconAges.compute_zircons_Ttpath</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.zircon_age_PDF"><code>GeoParams.ZirconAges.zircon_age_PDF</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a></li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plotting/">« Plotting</a><a class="docs-footer-nextpage" href="../contributing/">Contributing »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div 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Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.0/man/materialparameters/index.html b/v0.4.0/man/materialparameters/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Material Parameters · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li class="is-active"><a class="tocitem" href>Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Material Parameters</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Material Parameters</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/materialparameters.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="MaterialParameters"><a class="docs-heading-anchor" href="#MaterialParameters">MaterialParameters</a><a id="MaterialParameters-1"></a><a class="docs-heading-anchor-permalink" href="#MaterialParameters" title="Permalink"></a></h1><p>Material properties for a given phase can be set with <code>SetMaterialParams</code>, whereas all properties are  stored in the <code>MaterialParams</code> structure. Information about the material parameter is found at <code>MaterialParamsInfo</code>. This can be employed </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParamsInfo" href="#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MaterialParamsInfo</code></pre><p>Structure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.</p><p>Usually used in combination with <code>param_info(the_parameter_of_interest)</code></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/MaterialParameters.jl#L22-L30">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SetMaterialParams" href="#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetMaterialParams(; Name::String=&quot;&quot;, Phase::Int64=1,
+                    Density             =   nothing, 
+                    Gravity             =   nothing,
+                    CreepLaws           =   nothing, 
+                    Elasticity          =   nothing, 
+                    Plasticity          =   nothing, 
+                    CompositeRheology   =   nothing,
+                    Conductivity        =   nothing, 
+                    HeatCapacity        =   nothing, 
+                    RadioactiveHeat     =   nothing,
+                    LatentHeat          =   nothing,
+                    ShearHeat           =   nothing,
+                    Melting             =   nothing,
+                    SeismicVelocity     =   nothing,
+                    CharDim::GeoUnits   =   nothing)</code></pre><p>Sets material parameters for a given phase. </p><p>If <code>CharDim</code> is specified the input parameters are non-dimensionalized.   Note that if <code>Density</code> is specified, we also set <code>Gravity</code> even if not explicitly listed</p><p><strong>Examples</strong></p><p>Define two viscous creep laws &amp; constant density:</p><pre><code class="language-julia-repl hljs">julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;,
+                       Density   = ConstantDensity(),
+                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))
+Phase 1 : Viscous Matrix
+        | [dimensional units]
+        | 
+        |-- Density           : Constant density: ρ=2900 kg m⁻³ 
+        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  
+        |                       Linear viscosity: η=1.0e21 Pa s</code></pre><p>Define two viscous creep laws &amp; P/T dependent density and nondimensionalize</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);
+julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;, Phase=33,
+                              Density   = PT_Density(),
+                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),
+                              CharDim   = CharUnits_GEO)
+Phase 33: Viscous Matrix
+        | [non-dimensional units]
+        | 
+        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0 
+        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18 
+        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001  
+        |                       Linear viscosity: η=10000.0 </code></pre><p>You can also create an array that holds several parameters:</p><pre><code class="language-julia-repl hljs">julia&gt; MatParam        =   Array{MaterialParams, 1}(undef, 2);
+julia&gt; Phase           =   1;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Upper Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                            Density  = ConstantDensity(ρ=2900kg/m^3));
+julia&gt; Phase           =   2;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Lower Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),
+                            Density  = PT_Density(ρ0=3000kg/m^3));
+julia&gt; MatParam
+2-element Vector{MaterialParams}:
+ Phase 1 : Upper Crust
+    | [dimensional units]
+    | 
+    |-- Density           : Constant density: ρ=2900 kg m⁻³ 
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  
+    |                       Linear viscosity: η=1.0e23 Pa s 
+                            
+ Phase 2 : Lower Crust
+    | [dimensional units]
+    | 
+    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa 
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹  
+    |                       Linear viscosity: η=1.0e21 Pa s </code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/MaterialParameters.jl#L96-L181">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParams" href="#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MaterialParams</code></pre><p>Structure that holds all material parameters for a given phase</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/MaterialParameters.jl#L56-L61">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../nondimensionalize/">« Nondimensionalization</a><a class="docs-footer-nextpage" href="../density/">Density »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Thursday 20 October 2022 14:23">Thursday 20 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li class="is-active"><a class="tocitem" href>Partial Melting</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Plotting-routines"><span>Plotting routines</span></a></li></ul></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Partial Melting</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Partial Melting</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/melting.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Melting-Parameterizations"><a class="docs-heading-anchor" href="#Melting-Parameterizations">Melting Parameterizations</a><a id="Melting-Parameterizations-1"></a><a class="docs-heading-anchor-permalink" href="#Melting-Parameterizations" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>A number of melting parameterisations are implemented, which can be set with:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Caricchi" href="#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Caricchi()</code></pre><p>Implements the T-dependent melting parameterisation used by Caricchi, Simpson et al. (as for example described in Simpson) </p><p class="math-container">\[    \theta = {(a - (T + c)) \over b} \]</p><p class="math-container">\[    \phi_{melt} = {1.0 \over (1.0 + e^\theta)}\]</p><p>Note that T is in Kelvin. As default parameters we employ:</p><p class="math-container">\[b=23K,  a=800K , c=273.15K\]</p><p>Which gives a reasonable fit to experimental data of granodioritic composition (Piwinskii and Wyllie, 1968):</p><p><img src="../assets/img/MeltingParam_Caricchi.png" alt="MeltParam_Carrichi"/></p><p><strong>References</strong></p><ul><li>Simpson G. (2017) Practical finite element modelling in Earth Sciences Using MATLAB.</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/MeltFraction/MeltingParameterization.jl#L32-L54">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_5thOrder" href="#GeoParams.MeltingParam.MeltingParam_5thOrder"><code>GeoParams.MeltingParam.MeltingParam_5thOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_5thOrder(a,b,c,d,e,f,T_s,T_l)</code></pre><p>Uses a 5th order polynomial to describe the melt fraction <code>phi</code> between solidus temperature <code>T_s</code> and liquidus temperature <code>T_l</code></p><p class="math-container">\[    \phi = a T^5 + b T^4 + c T^3 + d T^2 + e T + f  \textrm{   for   } T_s ≤ T ≤ T_l\]</p><p class="math-container">\[    \phi = 1  \textrm{   if   } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0  \textrm{   if   } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_5thorder.png" alt="MeltingParam_5thOrder"/></p><p>The default values are for a composite liquid-line-of-descent:</p><ul><li>the upper part is for Andesite from: (Blatter, D. L. &amp; Carmichael, I. S. (2001) Hydrous phase equilibria of a Mexican highsilica andesite: a candidate for a mantle origin? Geochim. Cosmochim. Acta 65, 4043–4065</li><li>the lower part is extrapolated to the granitic minimum using the Marxer &amp; Ulmer LLD for Andesite (Marxer, F. &amp; Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. <em>Contributions Mineral. Petrol.</em> 174, 84)</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/MeltFraction/MeltingParameterization.jl#L106-L127">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_4thOrder" href="#GeoParams.MeltingParam.MeltingParam_4thOrder"><code>GeoParams.MeltingParam.MeltingParam_4thOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_4thOrder(b,c,d,e,f,T_s,T_l)</code></pre><p>Uses a 4th order polynomial to describe the melt fraction <code>phi</code> between solidus temperature <code>T_s</code> and liquidus temperature <code>T_l</code></p><p class="math-container">\[    \phi = b T^4 + c T^3 + d T^2 + e T + f  \textrm{   for   } T_s ≤ T ≤ T_l\]</p><p class="math-container">\[    \phi = 1 \textrm{   if   } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0  \textrm{   if   } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_4thorder.png" alt="MeltingParam_4thOrder"/></p><p>The default values are for Tonalite experiments from Marxer and Ulmer (2019):</p><ul><li>Marxer, F. &amp; Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. <em>Contributions Mineral. Petrol.</em> 174, 84</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/MeltFraction/MeltingParameterization.jl#L191-L211">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Quadratic" href="#GeoParams.MeltingParam.MeltingParam_Quadratic"><code>GeoParams.MeltingParam.MeltingParam_Quadratic</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Quadratic(T_s,T_l)</code></pre><p>Quadratic melt fraction parameterisation where melt fraction <span>$\phi$</span> depends only on solidus (<span>$T_s$</span>) and liquidus (<span>$T_l$</span>) temperature:</p><p class="math-container">\[    \phi = 1.0 - \left( {T_l - T} \over {T_l - T_s} \right)^2\]</p><p class="math-container">\[    \phi = 1.0 \textrm{ if } T&gt;T_l \]</p><p class="math-container">\[    \phi = 0.0 \textrm{ if } T&lt;T_s \]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_Quadratic.png" alt="MeltingParam_Quadratic"/></p><p>This was used, among others, in Tierney et al. (2016) Geology</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/MeltFraction/MeltingParameterization.jl#L282-L301">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Assimilation" href="#GeoParams.MeltingParam.MeltingParam_Assimilation"><code>GeoParams.MeltingParam.MeltingParam_Assimilation</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Assimilation(T_s,T_l,a)</code></pre><p>Melt fraction parameterisation that takes the assimilation of crustal host rocks into account, as used by Tierney et al. (2016) based upon a parameterisation of Spera and Bohrson (2001)</p><p>Here, the fraction of molten and assimilated host rocks <span>$\phi$</span> depends on the solidus (<span>$T_s$</span>) and liquidus (<span>$T_l$</span>) temperatures of the rocks, as well as on a parameter <span>$a=0.005$</span></p><p class="math-container">\[    X = \left( {T - T_s} \over {T_l - T_s} \right)\]</p><p class="math-container">\[    \phi = a \cdot \left( \exp^{2ln(100)X} - 1.0 \right) \textrm{ if } X ≤ 0.5\]</p><p class="math-container">\[    \phi = 1- a \cdot \exp^{2ln(100)(1-X)}  \textrm{ if } X &gt; 0.5\]</p><p class="math-container">\[    \phi = 1.0 \textrm{ if } T&gt;T_l \]</p><p class="math-container">\[    \phi = 0.0 \textrm{ if } T&lt;T_s \]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_Assimilation.png" alt="MeltingParam_Assimilation"/></p><p>This was used, among others, in Tierney et al. (2016), who employed as default parameters:</p><p class="math-container">\[   T_s=973.15, T_l=1173.15, a=0.005\]</p><p><strong>References</strong></p><ul><li>Spera, F.J., and Bohrson, W.A., 2001, Energy-Constrained Open-System Magmatic Processes I: General Model and Energy-Constrained Assimilation and Fractional Crystallization (EC- AFC) Formulation: Journal of Petrology, v. 42, p. 999–1018.</li><li>Tierney, C.R., Schmitt, A.K., Lovera, O.M., de Silva, S.L., 2016. Voluminous plutonism during volcanic quiescence revealed by thermochemical modeling of zircon. Geology 44, 683–686. https://doi.org/10.1130/G37968.1</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/MeltFraction/MeltingParameterization.jl#L356-L391">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.SmoothMelting" href="#GeoParams.MeltingParam.SmoothMelting"><code>GeoParams.MeltingParam.SmoothMelting</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">SmoothMelting(; p=MeltingParam_4thOrder(), k_sol=0.2/K,  k_liq=0.2/K)</code></pre><p>This smoothens the melting parameterisation <span>$p$</span> around the solidus <span>$T_{sol}$</span> and liquidus <span>$T_{liq}$</span> using a smoothened Heaviside step functions for the solidus:</p><p class="math-container">\[    H_{sol} =  {1.0 \over { 1 + \exp( -2 k_{sol} (T - T_{sol} - {2 \over k_{sol}}) )  }}\]</p><p>and liquidus:        </p><p class="math-container">\[    H_{liq} =  1.0 - {1.0 \over { 1 + \exp( -2 k_{liq} (T - T_{liq} + {2 \over k_{liq}}) )  }}\]</p><p>The resulting melt fraction <span>$\phi$</span> is computed from the original melt fraction <span>$\phi_0$</span> (computed using one of the methods above) as:</p><p class="math-container">\[    \phi =  \phi_0 H_{sol} H_{liq} + 1.0 - H_{liq}\]</p><p>The width of the smoothening zones is controlled by <span>$k_{sol}, k_{liq}$</span> (larger values = sharper boundary).</p><p>This is important, as jumps in the derivative <span>$dϕ/dT$</span> can cause numerical instabilities in latent heat computations, which is prevented with this smoothening.</p><p><strong>Example</strong></p><p>Let&#39;s consider a 4th order parameterisation:</p><pre><code class="language-julia hljs">julia&gt; using GeoParams, Plots
+julia&gt; p = MeltingParam_4thOrder();
+julia&gt; T= collect(650.0:1:1050.) .+ 273.15;
+julia&gt; T,phi,dϕdT =  PlotMeltFraction(p,T=T);</code></pre><p>The same but with smoothening:</p><pre><code class="language-julia hljs">julia&gt; p_s = SmoothMelting(p=MeltingParam_4thOrder(), k_liq=0.21/K);
+4th order polynomial melting curve: phi = -7.594512597174117e-10T^4 + 3.469192091489447e-6T^3 + -0.00592352980926T^2 + 4.482855645604745T + -1268.730161921053  963.15 K ≤ T ≤ 1270.15 K with smooth Heaviside function smoothening using k_sol=0.1 K⁻¹·⁰, k_liq=0.11 K⁻¹·⁰
+julia&gt; T_s,phi_s,dϕdT_s =  PlotMeltFraction(p_s,T=T);</code></pre><p>We can create plots of this with:</p><pre><code class="language-julia hljs">julia&gt; plt1 = plot(T.-273.15, phi, ylabel=&quot;Melt Fraction ϕ&quot;, color=:red, label=&quot;original&quot;, xlabel=&quot;Temperature [C]&quot;)
+julia&gt; plt1 = plot(plt1, T.-273.15, phi_s,  color=:black, label=&quot;smoothened&quot;, legend=:bottomright)
+julia&gt; plt2 = plot(T.-273.15, dϕdT, ylabel=&quot;dϕ/dT&quot;, color=:red, label=&quot;original&quot;, xlabel=&quot;Temperature [C]&quot;)
+julia&gt; plt2 = plot(plt2, T.-273.15, dϕdT_s,  color=:black, label=&quot;smoothened&quot;, legend=:topright)
+julia&gt; plot!(plt1,plt2,   xlabel=&quot;Temperature [C]&quot;, layout=(2,1))</code></pre><p>The derivative no longer has a jump now:</p><p><img src="../assets/img/MeltingParam_Smooth.png" alt="MeltingParam_Smooth"/></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/MeltFraction/MeltingParameterization.jl#L474-L525">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute the melt fraction at given <code>T</code> and <code>P</code>, use:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction!" href="#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_meltfraction!(ϕ::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T:AbstractArray{&lt;:AbstractFloat}, p::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/MeltFraction/MeltingParameterization.jl#L622-L626">source</a></section><section><div><pre><code class="nohighlight hljs">compute_meltfraction(ϕ::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/MeltFraction/MeltingParameterization.jl#L709-L713">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction" href="#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_meltfraction(P,T, p::AbstractPhaseDiagramsStruct)</code></pre><p>Computes melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/MeltFraction/MeltingParameterization.jl#L610-L614">source</a></section><section><div><pre><code class="nohighlight hljs">ϕ = compute_meltfraction(Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/MeltFraction/MeltingParameterization.jl#L702-L706">source</a></section></article><p>You can also obtain the derivative of melt fraction versus temperature with (useful to compute latent heat effects):</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_dϕdT!" href="#GeoParams.MeltingParam.compute_dϕdT!"><code>GeoParams.MeltingParam.compute_dϕdT!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_dϕdT!(ϕ::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computates the derivative of melt fraction <code>ϕ</code> versus temperature <code>T</code>, <span>${\partial \phi} \over {\partial T}$</span> for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This is employed, for example, in computing latent heat terms in an implicit manner.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/MeltFraction/MeltingParameterization.jl#L724-L729">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_dϕdT" href="#GeoParams.MeltingParam.compute_dϕdT"><code>GeoParams.MeltingParam.compute_dϕdT</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_dϕdT(P,T, p::AbstractPhaseDiagramsStruct)</code></pre><p>Computes derivative of melt fraction vs T in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified. The derivative is computed by finite differencing.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/MeltFraction/MeltingParameterization.jl#L629-L634">source</a></section><section><div><pre><code class="nohighlight hljs">ϕ = compute_dϕdT(Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computates the derivative of melt fraction ϕ versus temperature <code>T</code> for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This is employed in computing latent heat terms in an implicit manner, for example</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/MeltFraction/MeltingParameterization.jl#L716-L721">source</a></section></article><p>Also note that phase diagrams can be imported using <code>PerpleX_LaMEM_Diagram</code>, which may also have melt content information.  The computational routines work with that as well.</p><h1 id="Plotting-routines"><a class="docs-heading-anchor" href="#Plotting-routines">Plotting routines</a><a id="Plotting-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting-routines" title="Permalink"></a></h1><p>You can use the routine <code>PlotMeltFraction</code> to create a plot, provided that the <code>Plots</code> package has been loaded</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotMeltFraction</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../gravity/">« Gravity</a><a class="docs-footer-nextpage" href="../TASclassification/">TAS classification »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Thursday 20 October 2022 14:23">Thursday 20 October 2022</span>. 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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Nondimensionalization · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Nondimensionalization</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Nondimensionalization</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/nondimensionalize.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Nondimensionalization"><a class="docs-heading-anchor" href="#Nondimensionalization">Nondimensionalization</a><a id="Nondimensionalization-1"></a><a class="docs-heading-anchor-permalink" href="#Nondimensionalization" title="Permalink"></a></h1><p>Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between <code>GEO</code>, <code>SI</code> or <code>NO</code> units:</p><ul><li><code>SI</code> units assume all input and output is in <code>SI</code> units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).</li><li><code>GEO</code> units uses <code>SI</code> units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as <code>Myrs</code>,<code>km</code> or <code>MPa</code></li><li><code>NO</code> units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that <code>velocity</code> is given in <code>m/s</code>).</li></ul><p>A dimensional parameter can be transformed into a non-dimensional one with <code>nondimensionalize</code>.</p><h1 id="Specify-characteristic-values"><a class="docs-heading-anchor" href="#Specify-characteristic-values">Specify characteristic values</a><a id="Specify-characteristic-values-1"></a><a class="docs-heading-anchor-permalink" href="#Specify-characteristic-values" title="Permalink"></a></h1><p>Characteristic values can be defined in 3 ways.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units" href="#GeoParams.Units"><code>GeoParams.Units</code></a> — <span class="docstring-category">Module</span></header><section><div><pre><code class="language-julia hljs">This provides units and creates a non-dimensionalization object</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Units.jl#L1-L3">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.AbstractGeoUnit" href="#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><p>AbstractGeoUnit</p><p>Abstract supertype for geo units.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Units.jl#L96-L100">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnit" href="#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.
+
+Having that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.
+With the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Units.jl#L110-L117">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnits" href="#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">GeoUnits
+
+Structure that holds parameters used for non-dimensionalization</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Units.jl#L290-L294">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GEO_units" href="#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)</code></pre><p>Creates a non-dimensionalization object using GEO units.</p><p>GEO units implies that upon dimensionalization, <code>time</code> will be in <code>Myrs</code>, <code>length</code> in <code>km</code>, stress in <code>MPa</code>, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (<code>km</code> or <code>m</code>), provided the unit is specified.</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = GEO_units()
+Employing GEO units 
+Characteristic values: 
+         length:      1000 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C
+julia&gt; CharUnits.velocity
+1.0e-7 m s⁻¹</code></pre><p>If we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic <code>length</code>:</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = GEO_units(length=10km)
+Employing GEO units 
+Characteristic values: 
+         length:      10 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Units.jl#L342-L373">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.SI_units" href="#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)</code></pre><p>Specify the characteristic values using SI units </p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = SI_units(length=1000m)
+Employing SI units 
+Characteristic values: 
+         length:      1000 m
+         time:        1.0e19 s
+         stress:      10 Pa
+         temperature: 1000.0 K</code></pre><p>Note that the same can be achieved if the input is given in <code>km</code>:</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = SI_units(length=1km)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Units.jl#L412-L431">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.NO_units" href="#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)</code></pre><p>Specify the characteristic values in non-dimensional units</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GeoParams;
+julia&gt; CharUnits = NO_units()
+Employing NONE units 
+Characteristic values: 
+         length:      1
+         time:        1.0 
+         stress:      1
+         temperature: 1.0</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Units.jl#L470-L486">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_val" href="#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia hljs">This unpacks the numerical value of `GeoUnit` in a structure, without the units.
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_val ρ,α = r
+julia&gt; α
+4.0e-5
+julia&gt; typeof(α)
+Float64</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/unpack.jl#L4-L23">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_units" href="#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia hljs">This unpacks the numerical value with units of `GeoUnit` parameters in a structure
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_units ρ,α = r
+julia&gt; α
+4.0e-5 K⁻¹·⁰
+julia&gt; typeof(α)
+Quantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/unpack.jl#L46-L65">source</a></section></article><h1 id="(Non)-dimensionalize-parameters"><a class="docs-heading-anchor" href="#(Non)-dimensionalize-parameters">(Non)-dimensionalize parameters</a><a id="(Non)-dimensionalize-parameters-1"></a><a class="docs-heading-anchor-permalink" href="#(Non)-dimensionalize-parameters" title="Permalink"></a></h1><p>Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.nondimensionalize" href="#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">nondimensionalize(param, CharUnits::GeoUnits{TYPE})</code></pre><p>Nondimensionalizes <code>param</code> using the characteristic values specified in <code>CharUnits</code></p><p><strong>Example 1</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GeoParams;
+julia&gt; CharUnits =   GEO_units();
+julia&gt; v         =   3cm/yr
+3 cm yr⁻¹ 
+julia&gt; v_ND      =   nondimensionalize(v, CharUnits) 
+0.009506426344208684</code></pre><p><strong>Example 2</strong></p><p>In geodynamics one sometimes encounters more funky units</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits =   GEO_units();
+julia&gt; A         =   6.3e-2MPa^-3.05*s^-1
+0.063 MPa⁻³·⁰⁵ s⁻¹
+julia&gt; A_ND      =   nondimensionalize(A, CharUnits) 
+7.068716262102384e14</code></pre><p>In case you are interested to see how the units of <code>A</code> look like in different units, use this function from the <a href="https://github.com/PainterQubits/Unitful.jl">Unitful</a> package:</p><pre><code class="language-julia-repl hljs">julia&gt; uconvert(u&quot;Pa^-3.05*s^-1&quot;,A) 
+3.157479571851836e-20 Pa⁻³·⁰⁵</code></pre><p>and to see it decomposed in the basic <code>SI</code> units of length, mass and time:</p><pre><code class="language-julia-repl hljs">julia&gt; upreferred(A)
+3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Units.jl#L520-L554">source</a></section><section><div><pre><code class="nohighlight hljs">MatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Non-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Units.jl#L608-L613">source</a></section><section><div><pre><code class="nohighlight hljs">nondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>nondimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Units.jl#L657-L661">source</a></section><section><div><pre><code class="nohighlight hljs">MatParam_ND = nondimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)</code></pre><p>Non-dimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Units.jl#L695-L700">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.dimensionalize" href="#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes <code>param</code> into the dimensions <code>param_dim</code> using the characteristic values specified in <code>CharUnits</code>.  </p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits =   GEO_units();
+julia&gt; v_ND      =   nondimensionalize(3cm/yr, CharUnits) 
+0.031688087814028945
+julia&gt; v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) 
+3.0 cm yr⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Units.jl#L706-L720">source</a></section><section><div><pre><code class="nohighlight hljs">dimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Units.jl#L741-L746">source</a></section><section><div><pre><code class="nohighlight hljs">Dimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>Dimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Units.jl#L766-L770">source</a></section><section><div><pre><code class="nohighlight hljs">dimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)</code></pre><p>dimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Units.jl#L791-L796">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.isDimensional" href="#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">isDimensional(MatParam::AbstractMaterialParam)</code></pre><p><code>true</code> if MatParam is in dimensional units.    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Units.jl#L801-L805">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../geounit/">« GeoUnit</a><a class="docs-footer-nextpage" href="../materialparameters/">Material Parameters »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Thursday 20 October 2022 14:23">Thursday 20 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.0/man/phasediagrams/index.html b/v0.4.0/man/phasediagrams/index.html
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+++ b/v0.4.0/man/phasediagrams/index.html
@@ -0,0 +1,12 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Phase Diagrams · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li class="is-active"><a class="tocitem" href>Phase Diagrams</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Perple_X"><span>Perple_X</span></a></li></ul></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Phase Diagrams</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Phase Diagrams</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/phasediagrams.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Phase-Diagrams"><a class="docs-heading-anchor" href="#Phase-Diagrams">Phase Diagrams</a><a id="Phase-Diagrams-1"></a><a class="docs-heading-anchor-permalink" href="#Phase-Diagrams" title="Permalink"></a></h1><p>It is possible to employ phase diagrams as lookup tables, which can be used to compute density, melt fraction or seismic properties, for example. </p><h1 id="Perple_X"><a class="docs-heading-anchor" href="#Perple_X">Perple_X</a><a id="Perple_X-1"></a><a class="docs-heading-anchor-permalink" href="#Perple_X" title="Permalink"></a></h1><p>A popular way to compute phase diagrams (pseudosections) for a given (fixed) chemical composition as a function of pressure and temperature is by using <a href="https://www.perplex.ethz.ch">Perple_X</a>. Once a stable assemblage is computed, through Gibbs energy minimisation, it allows you to output a large number of properties such as density, melt fraction or seismic velocities.</p><p>Within GeoParams, we can import this diagram (provided it is formatted in the same manner as <code>LaMEM</code> expects <code>Perple_X</code> input to be).</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PerpleX_LaMEM_Diagram" href="#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">PD_Data = PerpleX_LaMEM_Diagram(fname::String; CharDim = nothing)</code></pre><p>Reads a precomputed phase diagram in the <code>LaMEM/Perple_X</code> format (which is a phase diagram computed using <code>Perple_X</code>, but formatted in a manner that is readable using LaMEM). The data is stored in the <code>PhaseDiagram_LookupTable</code> structure.</p><p>If the <code>CharDim</code> object is specified, the values of all diagrams will be non-dimensionalized.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; PD_Data = PerpleX_LaMEM_Diagram(&quot;./test_data/Peridotite.in&quot;)
+Perple_X/LaMEM Phase Diagram Lookup Table: 
+                      File    :   ./test_data/Peridotite.in
+                      T       :   293.0 - 1573.000039
+                      P       :   1.0e7 - 2.9999999944e9
+                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp
+                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs
+                                  :Vp, :Vs, :VpVs</code></pre><p>Once imported, the properties on the diagram can be interpolated in a simple manner:</p><pre><code class="nohighlight hljs">julia&gt; PD_Data.Rho(1500,1e7)
+3042.836820256982</code></pre><p>This also works for vectors or arrays:</p><pre><code class="language-julia hljs">julia&gt; T = [1500 1800; 1233 1300]
+julia&gt; P = [1e8 1e9; 1e7 1e7]
+julia&gt; rho = PD_Data.Rho.(T,P)</code></pre><p>(Note the dot <code>.</code> in front of the bracket while evaluating arrays).</p><p>The fields that are available depend on what is listed in the diagram file.  The units of the fields are automatically evaluated, and employed to non-dimensionalize the parameters if <code>CharDim</code> is specified. </p><p><strong>Algorithm</strong></p><p>Internally, we employ linear interpolation, as provided by the <a href="https://github.com/JuliaMath/Interpolations.jl">Interpolations.jl</a> package. Values outside the range of the diagram are set to the boundary of the diagram. The interpolation object is directly encoded in the <code>PhaseDiagram_LookupTable</code>` object.  </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/PhaseDiagrams/PhaseDiagrams.jl#L44-L85">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable" href="#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Contains data of a Phase Diagram that is regularly spaced in P &amp; T</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/PhaseDiagrams/PhaseDiagrams.jl#L14-L16">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../zirconages/">« Zircon Ages</a><a class="docs-footer-nextpage" href="../seismicvelocity/">Seismic Velocity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Thursday 20 October 2022 14:23">Thursday 20 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.0/man/plasticity/index.html b/v0.4.0/man/plasticity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Plasticity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Plasticity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Plasticity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/plasticity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Plasticity"><a class="docs-heading-anchor" href="#Plasticity">Plasticity</a><a id="Plasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Plasticity" title="Permalink"></a></h1><p>Plasticity is a non;linear rheology bthat is actrivated once stresses exceed a certain yield criteria.</p><h1 id="Implemented-laws"><a class="docs-heading-anchor" href="#Implemented-laws">Implemented  laws</a><a id="Implemented-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-laws" title="Permalink"></a></h1><p>The following plastic law are implemented:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.Plasticity.DruckerPrager</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>Once a plastic rheology is defined, we can use the following routines to perform computations within the solvers</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.Plasticity.compute_yieldfunction</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.Plasticity.compute_yieldfunction!</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../elasticity/">« Elasticity</a><a class="docs-footer-nextpage" href="../heatcapacity/">Heat Capacity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Thursday 20 October 2022 14:23">Thursday 20 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.0/man/plotting/index.html b/v0.4.0/man/plotting/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Plotting · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li class="is-active"><a class="tocitem" href>Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Plotting</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Plotting</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/plotting.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Plotting"><a class="docs-heading-anchor" href="#Plotting">Plotting</a><a id="Plotting-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting" title="Permalink"></a></h1><p>We provide a number of plotting routines. Note that these plotting routines only become available once the <code>GLMakie</code> package is loaded.</p><h3 id="Plot-CreepLaws"><a class="docs-heading-anchor" href="#Plot-CreepLaws">Plot CreepLaws</a><a id="Plot-CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#Plot-CreepLaws" title="Permalink"></a></h3><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotStressStrainrate_CreepLaw</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotHeatCapacity</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotConductivity</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotMeltFraction</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotPhaseDiagram</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../strengthenvelope/">« 1D Strength Envelope</a><a class="docs-footer-nextpage" href="../listfunctions/">List of functions »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Thursday 20 October 2022 14:23">Thursday 20 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.0/man/radioactiveheating/index.html b/v0.4.0/man/radioactiveheating/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Radioactive heat · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li class="is-active"><a class="tocitem" href>Radioactive heat</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Radioactive heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Radioactive heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/radioactiveheating.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Radioactive-heat"><a class="docs-heading-anchor" href="#Radioactive-heat">Radioactive heat</a><a id="Radioactive-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Radioactive-heat" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Radioactive heat sources are defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat" href="#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)</code></pre><p>Set a constant radioactive heat:</p><p class="math-container">\[    H_r  = cst\]</p><p>where <span>$H_r$</span> is the radioactive heat source [<span>$Watt/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Energy/RadioactiveHeat.jl#L23-L31">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat" href="#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ExpDepthDependent(H_0=1e-6Watt/m^3, h_r=10e3m, z_0=0m)</code></pre><p>Sets an exponential depth-dependent radioactive </p><p class="math-container">\[    H_r  = H_0 \exp \left( {- {(z - z_0) \over h_r}} \right)\]</p><p>where <span>$H_0$</span> is the radioactive heat source [<span>$Watt/m^3$</span>] at <span>$z=z_0$</span> which decays with depth over a characteristic distance <span>$h_r$</span>.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Energy/RadioactiveHeat.jl#L63-L71">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat!</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../latentheat/">« Latent heat</a><a class="docs-footer-nextpage" href="../shearheating/">Shear heating »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Thursday 20 October 2022 14:23">Thursday 20 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.0/man/seismicvelocity/index.html b/v0.4.0/man/seismicvelocity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Seismic Velocity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input 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class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li class="is-active"><a class="tocitem" href>Seismic Velocity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-velocity-correction-for-partial-melt"><span>Seismic velocity correction for partial melt</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-2"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-2"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity"><span>Seismic S-wave velocity correction for (shallow depth) porosity</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-3"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-3"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-velocity-correction-for-anelasticity"><span>Seismic velocity correction for anelasticity</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-4"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-4"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Seismic Velocity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Seismic Velocity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/seismicvelocity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Seismic-velocity"><a class="docs-heading-anchor" href="#Seismic-velocity">Seismic velocity</a><a id="Seismic-velocity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Seismic velocity can specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity" href="#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)</code></pre><p>Set a constant seismic P and S-wave velocity:</p><p class="math-container">\[    V_p = cst\]</p><p class="math-container">\[    V_s = cst\]</p><p>where <span>$V_p, V_s$</span> are the P-wave and S-wave velocities [<span>$km/s$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/SeismicVelocity/SeismicVelocity.jl#L35-L46">source</a></section></article><p>In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.</p><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To evaluate seismic velocity within a user routine, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_swave_velocity!</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_pwave_velocity!</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_pwave_velocity</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_swave_velocity</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-velocity-correction-for-partial-melt"><a class="docs-heading-anchor" href="#Seismic-velocity-correction-for-partial-melt">Seismic velocity correction for partial melt</a><a id="Seismic-velocity-correction-for-partial-melt-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity-correction-for-partial-melt" title="Permalink"></a></h1><h1 id="Methods-2"><a class="docs-heading-anchor" href="#Methods-2">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-2" title="Permalink"></a></h1><p>The routine uses the reduction formulation of Clark et al., (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.</p><h1 id="Computational-routines-2"><a class="docs-heading-anchor" href="#Computational-routines-2">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-2" title="Permalink"></a></h1><p>To compute melt-content based correction for seismic waves velocities, you can use:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.melt_correction</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity"><a class="docs-heading-anchor" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity">Seismic S-wave velocity correction for (shallow depth) porosity</a><a id="Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity" title="Permalink"></a></h1><h1 id="Methods-3"><a class="docs-heading-anchor" href="#Methods-3">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-3" title="Permalink"></a></h1><p>Ths routine is based on the equilibrium geometry model for the solid skeleton of Takei et al. (1998) and the porosity-depth empirical relationship of Chen et al. (2020)</p><h1 id="Computational-routines-3"><a class="docs-heading-anchor" href="#Computational-routines-3">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-3" title="Permalink"></a></h1><p>To compute porosity based correction for seismic S-wave velocity, you can use:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.porosity_correction</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-velocity-correction-for-anelasticity"><a class="docs-heading-anchor" href="#Seismic-velocity-correction-for-anelasticity">Seismic velocity correction for anelasticity</a><a id="Seismic-velocity-correction-for-anelasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity-correction-for-anelasticity" title="Permalink"></a></h1><h1 id="Methods-4"><a class="docs-heading-anchor" href="#Methods-4">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-4" title="Permalink"></a></h1><p>The routine uses the reduction formulation of karato (1993), using the quality factor formulation from Behn et al. (2009)</p><h1 id="Computational-routines-4"><a class="docs-heading-anchor" href="#Computational-routines-4">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-4" title="Permalink"></a></h1><p>To compute a correction of S-wave velocity for anelasticity, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction" href="#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">    Vs_anel = anelastic_correction(water::Int64, Vs0::Float64,P::Float64,T::Float64)</code></pre><p>This routine computes a correction of S-wave velocity for anelasticity</p><p><strong>Input:</strong></p><ul><li><code>water</code>: water flag, 0 = dry; 1 = dampened; 2 = water saturated </li><li><code>Vs0</code>  : S-wave velocitiy of the solid phase (with or without melt correction)</li><li><code>P</code>    : pressure given in Pa</li><li><code>T</code>    : temperature given in °K</li></ul><p><strong>Output:</strong></p><ul><li><code>Vs_anel</code> : corrected S-wave velocity for anelasticity</li></ul><p>The routine uses the reduction formulation of Karato (1993), using the quality factor formulation from Behn et al. (2009)</p><p><strong>References:</strong></p><ul><li><p>Karato, S. I. (1993). Importance of anelasticity in the interpretation of seismic tomography. Geophysical research letters, 20(15), 1623-1626.</p></li><li><p>Behn, M. D., Hirth, G., &amp; Elsenbeck II, J. R. (2009). Implications of grain size evolution on the seismic structure of the oceanic upper mantle. Earth and Planetary Science Letters, 282(1-4), 178-189.</p></li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/SeismicVelocity/SeismicVelocity.jl#L354-L381">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../phasediagrams/">« Phase Diagrams</a><a class="docs-footer-nextpage" href="../strengthenvelope/">1D Strength Envelope »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Thursday 20 October 2022 14:23">Thursday 20 October 2022</span>. 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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Shear heating · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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class="is-active"><a class="tocitem" href>Shear heating</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Shear heating</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Shear heating</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/shearheating.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Shear-heating"><a class="docs-heading-anchor" href="#Shear-heating">Shear heating</a><a id="Shear-heating-1"></a><a class="docs-heading-anchor-permalink" href="#Shear-heating" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Heat caused by non-recoverable deformation can be specified in </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.ConstantShearheating" href="#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantShearheating(Χ=0.0NoUnits)</code></pre><p>Set the shear heating efficiency [0-1] parameter</p><p class="math-container">\[Χ  = cst\]</p><p>where <span>$\Chi$</span> is the shear heating efficiency [NoUnits]</p><p>Shear heating is computed as</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}(\dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Energy/Shearheating.jl#L22-L36">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">H_s = compute_shearheating(s:&lt;AbstractShearheating, τ, ε, ε_el)</code></pre><p>Computes the shear heating source term</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Energy/Shearheating.jl#L79-L94">source</a></section><section><div><pre><code class="nohighlight hljs">H_s = ComputeShearheating(s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij} \]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Energy/Shearheating.jl#L97-L110">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating!" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_shearheating!(H_s, s:&lt;AbstractShearheating,  τ, ε, ε_el)</code></pre><p>Computes the shear heating source term in-place</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul><p><em>NOTE:</em> The shear heating terms require the full deviatoric stress &amp; strain rate tensors, i.e.:</p><p class="math-container">\[2D: \tau_{ij} = \left(   
+                \begin{matrix}
+                    \tau_{xx} &amp; \tau_{xz} \\
+                    \tau_{zx} &amp; \tau_{zz} 
+                \end{matrix} 
+            \right)\]</p><p>Since <span>$\tau_{zx}=\tau_{xz}$</span>, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used! </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Energy/Shearheating.jl#L115-L142">source</a></section><section><div><pre><code class="nohighlight hljs">compute_shearheating!(H_s, s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term <code>H_s</code> in-place when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij} \]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/Energy/Shearheating.jl#L145-L158">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../radioactiveheating/">« Radioactive heat</a><a class="docs-footer-nextpage" href="../gravity/">Gravity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Thursday 20 October 2022 14:23">Thursday 20 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.0/man/strengthenvelope/index.html b/v0.4.0/man/strengthenvelope/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>1D Strength Envelope · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li class="is-active"><a class="tocitem" href>1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>1D Strength Envelope</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>1D Strength Envelope</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/strengthenvelope.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="D-Strength-envelope"><a class="docs-heading-anchor" href="#D-Strength-envelope">1D Strength envelope</a><a id="D-Strength-envelope-1"></a><a class="docs-heading-anchor-permalink" href="#D-Strength-envelope" title="Permalink"></a></h1><p>We provide a routine for computing a 1D strength envelope and the tools for setting up a temperature structure and lithostatic pressure profile.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ConstTemp" href="#GeoParams.ConstTemp"><code>GeoParams.ConstTemp</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstTemp(T=1000)</code></pre><p>Sets a constant temperature inside the box</p><p>Parameters:</p><ul><li>T : the value</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/StrengthEnvelope/StrengthEnvelope.jl#L8-L15">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.LinTemp" href="#GeoParams.LinTemp"><code>GeoParams.LinTemp</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">LinTemp(Ttop=0, Tbot=1000)</code></pre><p>Sets a linear temperature structure from top to bottom</p><p>Parameters:</p><ul><li>Ttop: the value @ the top</li><li>Tbot: the value @ the bottom</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/StrengthEnvelope/StrengthEnvelope.jl#L33-L41">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.HalfspaceCoolTemp" href="#GeoParams.HalfspaceCoolTemp"><code>GeoParams.HalfspaceCoolTemp</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">HalfspaceCoolTemp(Tsurface=0, Tmantle=1350, Age=60, Adiabat=0)</code></pre><p>Sets a halfspace temperature structure in plate</p><p>Parameters:</p><ul><li>Tsurface: surface temperature [C]</li><li>Tmantle:  mantle temperature [C]</li><li>Age:      Thermal Age of plate [Myrs]</li><li>Adiabat:  Mantle Adiabat [K/km]</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/StrengthEnvelope/StrengthEnvelope.jl#L57-L67">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.CompTempStruct" href="#GeoParams.CompTempStruct"><code>GeoParams.CompTempStruct</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CompTempStruct(Z, s::AbstractTempStruct)</code></pre><p>Returns a temperature vector that matches the coordinate vector and temperature structure that were passed in</p><p>Parameters:</p><ul><li>Z: vector with depth coordinates</li><li>s: Temperature structure (CostTemp, LinTemp, HalfspaceCoolTemp)</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/StrengthEnvelope/StrengthEnvelope.jl#L21-L29">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.LithPres" href="#GeoParams.LithPres"><code>GeoParams.LithPres</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">LithPres(MatParam, Phases, ρ, T, dz, g)</code></pre><p>Iteratively solves a 1D lithostatic pressure profile (compatible with temperature- and pressure-dependent densities)</p><p>Parameters:</p><ul><li>MatParam: a tuple of materials (including the following properties: Phase, Density)</li><li>Phases:   vector with the distribtion of phases</li><li>ρ:        density vector for initial guess(can be zeros)</li><li>T:        temperature vector</li><li>dz:       grid spacing</li><li>g:        gravitational accelaration</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/StrengthEnvelope/StrengthEnvelope.jl#L89-L101">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.StrengthEnvelopeComp" href="#GeoParams.StrengthEnvelopeComp"><code>GeoParams.StrengthEnvelopeComp</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">StrengthEnvelopeComp(MatParam::NTuple{N, AbstractMaterialParamsStruct}, Thickness::Vector{U}, TempType::AbstractTempStruct=LinTemp(0C, 800C), ε=1e-15/s, nz::Int64=101) where {N, U}</code></pre><p>Calculates a 1D strength envelope. Pressure used for Drucker Prager plasticity is lithostatic. To visualize the results in a GUI, use StrengthEnvelopePlot.</p><p>Parameters:</p><ul><li>MatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)</li><li>Thickness: a vector listing the thicknesses of the respective layers (should carry units)</li><li>TempType:  the type of temperature profile (ConstTemp(), LinTemp(), HalfspaceCoolTemp())</li><li>ε:         background strainrate</li><li>nz:        optional argument controlling the number of points along the profile (default = 101)</li></ul><p><strong>Example:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GLMakie
+julia&gt; MatParam = (SetMaterialParams(Name=&quot;UC&quot;, Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(&quot;Wet Quartzite | Ueda et al. (2008)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;MC&quot;, Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(&quot;Plagioclase An75 | Ji and Zhao (1993)&quot;), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;LC&quot;, Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(&quot;Maryland strong diabase | Mackwell et al. (1998)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));
+julia&gt; Thickness = [15,10,15]*km;
+
+julia&gt; StrengthEnvelopeComp(MatParam, Thickness, LinTemp(), ε=1e-15/s)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/StrengthEnvelope/StrengthEnvelope.jl#L165-L187">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.StrengthEnvelopePlot" href="#GeoParams.StrengthEnvelopePlot"><code>GeoParams.StrengthEnvelopePlot</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">StrengthEnvelopePlot(MatParam, Thickness; TempType, nz)</code></pre><p>Requires GLMakie</p><p>Creates a GUI that plots a 1D strength envelope. In the GUI, temperature profile and strain rate can be adjusted. The Drucker-Prager plasticity uses lithostatic pressure.</p><p>Parameters:</p><ul><li>MatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)</li><li>Thickness: a vector listing the thicknesses of the respective layers (should carry units)</li><li>TempType:  the type of temperature profile (LinTemp=default, HalfspaceCoolTemp, ConstTemp)</li><li>nz:        optional argument controlling the number of points along the profile (default = 101)</li></ul><p><strong>Example:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GLMakie
+julia&gt; MatParam = (SetMaterialParams(Name=&quot;UC&quot;, Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(&quot;Wet Quartzite | Ueda et al. (2008)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;MC&quot;, Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(&quot;Plagioclase An75 | Ji and Zhao (1993)&quot;), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;LC&quot;, Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(&quot;Maryland strong diabase | Mackwell et al. (1998)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));
+julia&gt; Thickness = [15,10,15]*km;
+
+julia&gt; StrengthEnvelopePlot(MatParam, Thickness, LinTemp())</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/StrengthEnvelope/StrengthEnvelope.jl#L232-L255">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../seismicvelocity/">« Seismic Velocity</a><a class="docs-footer-nextpage" href="../plotting/">Plotting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Thursday 20 October 2022 14:23">Thursday 20 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.0/man/zirconages/index.html b/v0.4.0/man/zirconages/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Zircon Ages · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Zircon Ages</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Zircon Ages</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/zirconages.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Zircon-age-parameterizations"><a class="docs-heading-anchor" href="#Zircon-age-parameterizations">Zircon age parameterizations</a><a id="Zircon-age-parameterizations-1"></a><a class="docs-heading-anchor-permalink" href="#Zircon-age-parameterizations" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Zircons are one of the ways in which we can date the age &amp; activity of magmatic systems.  Here, we provide a computational routine that computes the zircon age distribution from temperature-time paths</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.ZirconAgeData" href="#GeoParams.ZirconAges.ZirconAgeData"><code>GeoParams.ZirconAges.ZirconAgeData</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ZirconAgeData</code></pre><p>Struct that holds default parameters for the calculations</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/ZirconAge/ZirconAges.jl#L27-L31">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>There is one main routine with which you can compute zircon age probability density functions from a range of temperature-ime paths:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.compute_zircon_age_PDF" href="#GeoParams.ZirconAges.compute_zircon_age_PDF"><code>GeoParams.ZirconAges.compute_zircon_age_PDF</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">time_Ma, PDF_zircons, time_Ma_average, PDF_zircon_average, time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF = compute_zircon_age_PDF(time_years_vecs::Vector{Vector}, Tt_paths_Temp_vecs::Vector{Vector}; ZirconData::ZirconAgeData = ZirconAgeData(), bandwidth=bandwidth, n_analyses=300)</code></pre><p>This computes the PDF (probability density function) with zircon age data from Vectors with Tt-paths	</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/ZirconAge/ZirconAges.jl#L296-L301">source</a></section></article><p>This, in turn, calls two other routines:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.compute_zircons_Ttpath" href="#GeoParams.ZirconAges.compute_zircons_Ttpath"><code>GeoParams.ZirconAges.compute_zircons_Ttpath</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF =  compute_zircons_Ttpath(time_years::AbstractArray{Float64,1}, Tt_paths_Temp::AbstractArray{Float64,2}; ZirconData::ZirconAgeData)</code></pre><p>This computes the number of zircons produced from a series of temperature-time path&#39;s.  The Tt-paths are stored in a 2D matrix <code>Tt_paths_Temp</code> with rows being the temperature at time <code>time_years</code>.</p><p><strong>Input:</strong></p><ul><li><code>time_years</code> : vector of length <code>nt</code> with the time in years (since the beginning of the simulation) of the points provided</li><li><code>Tt_paths_Temp</code> : array of size <code>(nt,npaths)</code>` with the temperature of every path.</li></ul><p>Output:</p><ul><li><code>prob</code> : a vector that gives the relative probability that a zircon with a given age exists</li><li><code>ages_eruptible</code> : age of eruptble magma</li><li><code>number_zircons</code> : 1D array of size <code>(nt,)</code></li><li><code>T_av_time</code>: vector of size <code>nt</code> that contains the average T of the paths</li><li><code>T_sd_time</code>: vector of size <code>nt</code> that contains the standard deviation of the T of the paths</li><li><code>cumPDF</code>: vector of size <code>nt</code> that contains the cummulative probability density function that we have an age of less than a certain one in the samples</li></ul><p>This routine was developed based on an R-routine provided as electronic supplement in the paper:</p><ul><li>Weber, G., Caricchi, L., Arce, J.L., Schmitt, A.K., 2020. Determining the current size and state of subvolcanic magma reservoirs. Nat Commun 11, 5477. https://doi.org/10.1038/s41467-020-19084-2</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/ZirconAge/ZirconAges.jl#L98-L120">source</a></section><section><div><pre><code class="nohighlight hljs">time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF  = compute_zircons_Ttpath(time_years_vecs::Vector{Vector{Float64}}, Tt_paths_Temp::Vector{Vector{Float64}}; ZirconData::ZirconAgeData = ZirconAgeData())</code></pre><p>This accepts Vector{Vector} as input for time and temperature of each Tt-path. Here, the length of the vector can be variable between different points.</p><p>Internally, we interpolate this into a 2D matrix and a longer vector that includes all paths and a single vector with times </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/ZirconAge/ZirconAges.jl#L205-L212">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.zircon_age_PDF" href="#GeoParams.ZirconAges.zircon_age_PDF"><code>GeoParams.ZirconAges.zircon_age_PDF</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">zircon_age_PDF(ages_eruptible::AbstractArray{Float64,1}, number_zircons::AbstractArray{Float64,2}, bandwidth=1e5, n_analyses=300, ZirconData::ZirconAgeData)</code></pre><p>Compute probability density functions for zircon age path&#39;s describes in <code>number_zircons</code> with age <code>ages_eruptible</code> (both computed ). <code>bandwidth</code> is the smoothening window of the resulting curves (in years), whereas <code>n_analyses</code> are the number of analyses done. 	</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/9955f72d7c41c0aa5d4faee0119d83fe88765fe5/src/ZirconAge/ZirconAges.jl#L256-L260">source</a></section></article><p>We also provide a plotting routine, provided the <code>Plots</code> package is loaded, which produces figures such as: <img src="../assets/img/ZirconAge_PDF.png" alt="subet3"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../TASclassification/">« TAS classification</a><a class="docs-footer-nextpage" href="../phasediagrams/">Phase Diagrams »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Thursday 20 October 2022 14:23">Thursday 20 October 2022</span>. 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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Search · GeoParams.jl</title><script data-outdated-warner src="../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL=".."</script><script 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The interpolation object is directly encoded in the PhaseDiagram_LookupTable` object.  \n\n\n\n\n\n","category":"function"},{"location":"man/phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","page":"Phase Diagrams","title":"GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","text":"Contains data of a Phase Diagram that is regularly spaced in P & T\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#MaterialParameters","page":"Material Parameters","title":"MaterialParameters","text":"","category":"section"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"Material properties for a given phase can be set with SetMaterialParams, whereas all properties are  stored in the MaterialParams structure. Information about the material parameter is found at MaterialParamsInfo. This can be employed ","category":"page"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"MaterialParamsInfo\nSetMaterialParams\nMaterialParams","category":"page"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParamsInfo","text":"MaterialParamsInfo\n\nStructure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.\n\nUsually used in combination with param_info(the_parameter_of_interest)\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.SetMaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.SetMaterialParams","text":"SetMaterialParams(; Name::String=\"\", Phase::Int64=1,\n                    Density             =   nothing, \n                    Gravity             =   nothing,\n                    CreepLaws           =   nothing, \n                    Elasticity          =   nothing, \n                    Plasticity          =   nothing, \n                    CompositeRheology   =   nothing,\n                    Conductivity        =   nothing, \n                    HeatCapacity        =   nothing, \n                    RadioactiveHeat     =   nothing,\n                    LatentHeat          =   nothing,\n                    ShearHeat           =   nothing,\n                    Melting             =   nothing,\n                    SeismicVelocity     =   nothing,\n                    CharDim::GeoUnits   =   nothing)\n\nSets material parameters for a given phase. \n\nIf CharDim is specified the input parameters are non-dimensionalized.   Note that if Density is specified, we also set Gravity even if not explicitly listed\n\nExamples\n\nDefine two viscous creep laws & constant density:\n\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\",\n                       Density   = ConstantDensity(),\n                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))\nPhase 1 : Viscous Matrix\n        | [dimensional units]\n        | \n        |-- Density           : Constant density: ρ=2900 kg m⁻³ \n        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  \n        |                       Linear viscosity: η=1.0e21 Pa s\n\nDefine two viscous creep laws & P/T dependent density and nondimensionalize\n\njulia> CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\", Phase=33,\n                              Density   = PT_Density(),\n                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),\n                              CharDim   = CharUnits_GEO)\nPhase 33: Viscous Matrix\n        | [non-dimensional units]\n        | \n        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0 \n        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18 \n        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001  \n        |                       Linear viscosity: η=10000.0 \n\nYou can also create an array that holds several parameters:\n\njulia> MatParam        =   Array{MaterialParams, 1}(undef, 2);\njulia> Phase           =   1;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Upper Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                            Density  = ConstantDensity(ρ=2900kg/m^3));\njulia> Phase           =   2;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Lower Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),\n                            Density  = PT_Density(ρ0=3000kg/m^3));\njulia> MatParam\n2-element Vector{MaterialParams}:\n Phase 1 : Upper Crust\n    | [dimensional units]\n    | \n    |-- Density           : Constant density: ρ=2900 kg m⁻³ \n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  \n    |                       Linear viscosity: η=1.0e23 Pa s \n                            \n Phase 2 : Lower Crust\n    | [dimensional units]\n    | \n    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa \n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹  \n    |                       Linear viscosity: η=1.0e21 Pa s \n\n\n\n\n\n","category":"function"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParams","text":"MaterialParams\n\nStructure that holds all material parameters for a given phase\n\n\n\n\n\n","category":"type"},{"location":"man/contributing/#Contributing","page":"Contributing","title":"Contributing","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"You can contribute for example by adding new creep laws or by adding new constitutive relationships. If you invest a bit of time now, it will save others in the community a lot of time! The simplest way to do this is by cloning the repository, and creating a new branch for your feature. Once you are happy with what you added (and after you added a test to ensure that it will keep working with future changes), create a pull request and we will evaluate & merge it.","category":"page"},{"location":"man/contributing/#Style-Guide","page":"Contributing","title":"Style Guide","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Follow the style of the surrounding text when making changes. When adding new features please try to stick to the following points whenever applicable.","category":"page"},{"location":"man/contributing/#Julia","page":"Contributing","title":"Julia","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"4-space indentation;\nmodules spanning entire files should not be indented, but modules that have surrounding code should;\nno blank lines at the start or end of files;\ndo not manually align syntax such as = or :: over adjacent lines;\nuse function ... end when a method definition contains more than one toplevel expression;\nrelated short-form method definitions don't need a new line between them;\nunrelated or long-form method definitions must have a blank line separating each one;\nsurround all binary operators with whitespace except for ::, ^, and :;\nfiles containing a single module ... end must be named after the module;\nmethod arguments should be ordered based on the amount of usage within the method body;\nmethods extended from other modules must follow their inherited argument order, not the above rule;\nexplicit return should be preferred except in short-form method definitions;\navoid dense expressions where possible e.g. prefer nested ifs over complex nested ?s;\ninclude a trailing , in vectors, tuples, or method calls that span several lines;\ndo not use multiline comments (#= and =#);\nwrap long lines as near to 92 characters as possible, this includes docstrings;\nfollow the standard naming conventions used in Base.","category":"page"},{"location":"man/contributing/#Markdown","page":"Contributing","title":"Markdown","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Use unbalanced # headers, i.e. no # on the right hand side of the header text;\ninclude a single blank line between toplevel blocks;\nunordered lists must use * bullets with two preceding spaces;\ndo not hard wrap lines;\nuse emphasis (*) and bold (**) sparingly;\nalways use fenced code blocks instead of indented blocks;\nfollow the conventions outlined in the Julia documentation page on documentation.","category":"page"},{"location":"man/latentheat/#Latent-heat","page":"Latent heat","title":"Latent heat","text":"","category":"section"},{"location":"man/latentheat/#Methods","page":"Latent heat","title":"Methods","text":"","category":"section"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"Latent heat (of crystallisation) is defined as ","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","category":"page"},{"location":"man/latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","page":"Latent heat","title":"GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","text":"ConstantLatentHeat(Q_L=400kJ/kg)\n\nSet a constant latent heat:\n\n    Q_L  = cst\n\nwhere Q_L is the latent heat [kJkg].\n\n\n\n\n\n","category":"type"},{"location":"man/latentheat/#Computational-routines","page":"Latent heat","title":"Computational routines","text":"","category":"section"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"To compute, use this:","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"GeoParams.MaterialParameters.LatentHeat.compute_latent_heat","category":"page"},{"location":"man/zirconages/#Zircon-age-parameterizations","page":"Zircon Ages","title":"Zircon age parameterizations","text":"","category":"section"},{"location":"man/zirconages/#Methods","page":"Zircon Ages","title":"Methods","text":"","category":"section"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"Zircons are one of the ways in which we can date the age & activity of magmatic systems.  Here, we provide a computational routine that computes the zircon age distribution from temperature-time paths","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.ZirconAgeData","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.ZirconAgeData","page":"Zircon Ages","title":"GeoParams.ZirconAges.ZirconAgeData","text":"ZirconAgeData\n\nStruct that holds default parameters for the calculations\n\n\n\n\n\n","category":"type"},{"location":"man/zirconages/#Computational-routines","page":"Zircon Ages","title":"Computational routines","text":"","category":"section"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"There is one main routine with which you can compute zircon age probability density functions from a range of temperature-ime paths:","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.compute_zircon_age_PDF","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.compute_zircon_age_PDF","page":"Zircon Ages","title":"GeoParams.ZirconAges.compute_zircon_age_PDF","text":"time_Ma, PDF_zircons, time_Ma_average, PDF_zircon_average, time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF = compute_zircon_age_PDF(time_years_vecs::Vector{Vector}, Tt_paths_Temp_vecs::Vector{Vector}; ZirconData::ZirconAgeData = ZirconAgeData(), bandwidth=bandwidth, n_analyses=300)\n\nThis computes the PDF (probability density function) with zircon age data from Vectors with Tt-paths\t\n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"This, in turn, calls two other routines:","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.compute_zircons_Ttpath\nGeoParams.zircon_age_PDF","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.compute_zircons_Ttpath","page":"Zircon Ages","title":"GeoParams.ZirconAges.compute_zircons_Ttpath","text":"prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF =  compute_zircons_Ttpath(time_years::AbstractArray{Float64,1}, Tt_paths_Temp::AbstractArray{Float64,2}; ZirconData::ZirconAgeData)\n\nThis computes the number of zircons produced from a series of temperature-time path's.  The Tt-paths are stored in a 2D matrix Tt_paths_Temp with rows being the temperature at time time_years.\n\nInput:\n\ntime_years : vector of length nt with the time in years (since the beginning of the simulation) of the points provided\nTt_paths_Temp : array of size (nt,npaths)` with the temperature of every path.\n\nOutput:\n\nprob : a vector that gives the relative probability that a zircon with a given age exists\nages_eruptible : age of eruptble magma\nnumber_zircons : 1D array of size (nt,)\nT_av_time: vector of size nt that contains the average T of the paths\nT_sd_time: vector of size nt that contains the standard deviation of the T of the paths\ncumPDF: vector of size nt that contains the cummulative probability density function that we have an age of less than a certain one in the samples\n\nThis routine was developed based on an R-routine provided as electronic supplement in the paper:\n\nWeber, G., Caricchi, L., Arce, J.L., Schmitt, A.K., 2020. Determining the current size and state of subvolcanic magma reservoirs. Nat Commun 11, 5477. https://doi.org/10.1038/s41467-020-19084-2\n\n\n\n\n\ntime_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF  = compute_zircons_Ttpath(time_years_vecs::Vector{Vector{Float64}}, Tt_paths_Temp::Vector{Vector{Float64}}; ZirconData::ZirconAgeData = ZirconAgeData())\n\nThis accepts Vector{Vector} as input for time and temperature of each Tt-path. Here, the length of the vector can be variable between different points.\n\nInternally, we interpolate this into a 2D matrix and a longer vector that includes all paths and a single vector with times \n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/#GeoParams.ZirconAges.zircon_age_PDF","page":"Zircon Ages","title":"GeoParams.ZirconAges.zircon_age_PDF","text":"zircon_age_PDF(ages_eruptible::AbstractArray{Float64,1}, number_zircons::AbstractArray{Float64,2}, bandwidth=1e5, n_analyses=300, ZirconData::ZirconAgeData)\n\nCompute probability density functions for zircon age path's describes in number_zircons with age ages_eruptible (both computed ). bandwidth is the smoothening window of the resulting curves (in years), whereas n_analyses are the number of analyses done. \t\n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"We also provide a plotting routine, provided the Plots package is loaded, which produces figures such as: (Image: subet3)","category":"page"},{"location":"man/TASclassification/#TAS-rock-classification","page":"TAS classification","title":"TAS rock classification","text":"","category":"section"},{"location":"man/TASclassification/#Methods","page":"TAS classification","title":"Methods","text":"","category":"section"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"When doing coupled petrological-geodynamic modelling, the evolution of the composition of the magma is more easily understood when a rock type is given. This routine is an implementation of the TAS diagram (Total Alkali (TA) vs Silica (S)) from Le Maitre et al., 2002.","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.TASclassificationData","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.TASclassificationData","page":"TAS classification","title":"GeoParams.TASclassification.TASclassificationData","text":"TASclassificationData\n\nStruct that holds default parameters for the TAS diagram\n\n\n\n\n\n","category":"type"},{"location":"man/TASclassification/#Computational-routine","page":"TAS classification","title":"Computational routine","text":"","category":"section"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"There is one routine with which you can retrieve the index of the TAS rock-type. The routine receives as an input a compositional vector [SiO2,Na2O+K2O] in wt% and sends back an index [1-15].","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.computeTASclassification","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.computeTASclassification","page":"TAS classification","title":"GeoParams.TASclassification.computeTASclassification","text":"classIndex computeTASclassification(chemComp::AbstractArray{_T,N}, ClassTASdata::TASclassificationData)\n\nThis compute the classification of the igneous rock using TAS diagram (Total Alkali (TA) vs Silica (S)).\n\nInput:\n\nchemComp : vector rock composition in oxide wt%\n\nOutput:\n\nclassIndex : an integer [0-14] corresponding to a TAS field (TASclassificationData.litho[classIndex])\n\nThis routine was developed based the TAS classification of Le Maitre et al., 2002\n\n\n\n\n\n","category":"function"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"Using the index of the rock-type you can get the name of the corresponding volcanic rock using the following routine.","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.retrieveTASrockType","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.retrieveTASrockType","page":"TAS classification","title":"GeoParams.TASclassification.retrieveTASrockType","text":"retrieveTASrockType(index::Int64; ClassTASdata::TASclassificationData = TASclassificationData())\n\nThis retrieves the name of the volcanic rock-type using the computed index\n\nInput:\n\nindex : integer [1-15]\n\nOutput:\n\nlitho : a string of the name of corresponding volcanic rock\n\n\n\n\n\n","category":"function"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"We also provide a plotting routine, provided the Plots package is loaded, which produces figures such as: (Image: subet3)","category":"page"},{"location":"man/radioactiveheating/#Radioactive-heat","page":"Radioactive heat","title":"Radioactive heat","text":"","category":"section"},{"location":"man/radioactiveheating/#Methods","page":"Radioactive heat","title":"Methods","text":"","category":"section"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"Radioactive heat sources are defined as ","category":"page"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat\nGeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat\n","category":"page"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","text":"ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)\n\nSet a constant radioactive heat:\n\n    H_r  = cst\n\nwhere H_r is the radioactive heat source [Wattm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat","text":"ExpDepthDependent(H_0=1e-6Watt/m^3, h_r=10e3m, z_0=0m)\n\nSets an exponential depth-dependent radioactive \n\n    H_r  = H_0 exp left( - (z - z_0) over h_r right)\n\nwhere H_0 is the radioactive heat source [Wattm^3] at z=z_0 which decays with depth over a characteristic distance h_r.\n\n\n\n\n\n","category":"type"},{"location":"man/radioactiveheating/#Computational-routines","page":"Radioactive heat","title":"Computational routines","text":"","category":"section"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"To compute, use this:","category":"page"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat\nGeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat!","category":"page"},{"location":"man/listfunctions/#List-of-all-functions","page":"List of functions","title":"List of all functions","text":"","category":"section"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity","page":"Seismic Velocity","title":"Seismic velocity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"Seismic velocity can specified in a number of ways","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","text":"ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)\n\nSet a constant seismic P and S-wave velocity:\n\n    V_p = cst\n\n    V_s = cst\n\nwhere V_p V_s are the P-wave and S-wave velocities [kms].\n\n\n\n\n\n","category":"type"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.","category":"page"},{"location":"man/seismicvelocity/#Computational-routines","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To evaluate seismic velocity within a user routine, use this:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.compute_swave_velocity!\nGeoParams.compute_pwave_velocity!\nGeoParams.compute_pwave_velocity\nGeoParams.compute_swave_velocity","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity-correction-for-partial-melt","page":"Seismic Velocity","title":"Seismic velocity correction for partial melt","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-2","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"The routine uses the reduction formulation of Clark et al., (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-2","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute melt-content based correction for seismic waves velocities, you can use:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.melt_correction","category":"page"},{"location":"man/seismicvelocity/#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity","page":"Seismic Velocity","title":"Seismic S-wave velocity correction for (shallow depth) porosity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-3","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"Ths routine is based on the equilibrium geometry model for the solid skeleton of Takei et al. (1998) and the porosity-depth empirical relationship of Chen et al. (2020)","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-3","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute porosity based correction for seismic S-wave velocity, you can use:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.porosity_correction","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity-correction-for-anelasticity","page":"Seismic Velocity","title":"Seismic velocity correction for anelasticity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-4","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"The routine uses the reduction formulation of karato (1993), using the quality factor formulation from Behn et al. (2009)","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-4","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute a correction of S-wave velocity for anelasticity, use this:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.anelastic_correction","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction","text":"    Vs_anel = anelastic_correction(water::Int64, Vs0::Float64,P::Float64,T::Float64)\n\nThis routine computes a correction of S-wave velocity for anelasticity\n\nInput:\n\nwater: water flag, 0 = dry; 1 = dampened; 2 = water saturated \nVs0  : S-wave velocitiy of the solid phase (with or without melt correction)\nP    : pressure given in Pa\nT    : temperature given in °K\n\nOutput:\n\nVs_anel : corrected S-wave velocity for anelasticity\n\nThe routine uses the reduction formulation of Karato (1993), using the quality factor formulation from Behn et al. (2009)\n\nReferences:\n\nKarato, S. I. (1993). Importance of anelasticity in the interpretation of seismic tomography. Geophysical research letters, 20(15), 1623-1626.\nBehn, M. D., Hirth, G., & Elsenbeck II, J. R. (2009). Implications of grain size evolution on the seismic structure of the oceanic upper mantle. Earth and Planetary Science Letters, 282(1-4), 178-189.\n\n\n\n\n\n","category":"function"},{"location":"man/plasticity/#Plasticity","page":"Plasticity","title":"Plasticity","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"Plasticity is a non;linear rheology bthat is actrivated once stresses exceed a certain yield criteria.","category":"page"},{"location":"man/plasticity/#Implemented-laws","page":"Plasticity","title":"Implemented  laws","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"The following plastic law are implemented:","category":"page"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"GeoParams.MaterialParameters.Plasticity.DruckerPrager","category":"page"},{"location":"man/plasticity/#Computational-routines","page":"Plasticity","title":"Computational routines","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"Once a plastic rheology is defined, we can use the following routines to perform computations within the solvers","category":"page"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"GeoParams.MaterialParameters.Plasticity.compute_yieldfunction\nGeoParams.MaterialParameters.Plasticity.compute_yieldfunction!","category":"page"},{"location":"man/plotting/#Plotting","page":"Plotting","title":"Plotting","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"We provide a number of plotting routines. Note that these plotting routines only become available once the GLMakie package is loaded.","category":"page"},{"location":"man/plotting/#Plot-CreepLaws","page":"Plotting","title":"Plot CreepLaws","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"GeoParams.PlotStressStrainrate_CreepLaw\nGeoParams.PlotHeatCapacity\nGeoParams.PlotConductivity\nGeoParams.PlotMeltFraction\nGeoParams.PlotPhaseDiagram","category":"page"},{"location":"man/geounit/#GeoUnit","page":"GeoUnit","title":"GeoUnit","text":"","category":"section"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Most parameters have physical units (100km, 9.81 ms⁻²). Yet, within numerical solvers it is usually not a good idea to compute with the actual SI units as they (at least in geosciences) tend to result in very large/small numbers, which can cause in roundoff errors.  Therefore, we usually convert the dimensional units into non-dimensional ones befeore starting computations. The results can than be converted back to more convenient units for us when we generate the output (plots, for example).","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"This requires a way to store the dimensions of a parameter, but also, once they are made nondimensional, the original units (otherwise we can't convert them back to dimensional values).","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"For that reason, we use the GeoUnit structure, defined as ","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"struct GeoUnit{T,U}\n    val          :: T\n    unit         :: U\n    isdimensional:: Bool\nend","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"You can define a GeoUnit as:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> a = GeoUnit(100km)\nGeoUnit{dimensional, km}, \n100.0\njulia> b=GeoUnit(100s)\nGeoUnit{dimensional, s}, \n100.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Dividing the two gives the expected result","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> c=a/b\nGeoUnit{dimensional, km s⁻¹·⁰}, \n1.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Can also be a vector:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> T = GeoUnit(100K:10.0K:1000K)\nGeoUnit{dimensional, K}, \n100.0:10.0:1000.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"The numerical value is obtained with:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> NumValue(c)\n1.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"It's unit with","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> Unit(c)\nkm s⁻¹·⁰","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"and the value with unit with","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> Value(c)\n1.0 km s⁻¹·⁰","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"If you multiply or divide a GeoUnit with a normal number, we assume that you are no longer interested in the units and you'll get a Float64:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> c*100\n100.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"The value of the GeoUnit struct becomes clear once we non-dimensionalize it (as explained in more detail in a separate page). For that, first specify which characteristic values you want to use for non-dimensionalisation: ","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> CharDim = GEO_units(length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas);","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Let's define a stress:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> σ=GeoUnit(10MPa)\nGeoUnit{dimensional, MPa}, \n10.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"And transfer it to nondimensional units:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> σ_nd = nondimensionalize(σ,CharDim)\nGeoUnit{nondimensional, MPa}, \n0.9999999999999998","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Instead of 1e7 Pa, we now have 1.0; yet at the same time we know that the original unit of σ_nd was in MPa, which allows to transfer it back to dimensional units:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> dimensionalize(σ_nd,CharDim)\nGeoUnit{dimensional, MPa}, \n10.0","category":"page"},{"location":"man/creeplaws/#CreepLaws","page":"Creep laws","title":"CreepLaws","text":"","category":"section"},{"location":"man/creeplaws/#Implemented-creep-laws","page":"Creep laws","title":"Implemented creep laws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"The following viscous creep laws are implemented:","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"GeoParams.LinearViscous\nGeoParams.PowerlawViscous\nGeoParams.DislocationCreep\nGeoParams.SetDislocationCreep\nGeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep\nGeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous","text":"LinearViscous(η=1e20Pa*s)\n\nDefines a linear viscous creeplaw \n\nThe (isotopic) linear viscous rheology is given by  \n\n    tau_ij = 2 eta dotvarepsilon_ij \n\nor\n\n    dotvarepsilon_ij  = tau_ij  over 2 eta \n\nwhere eta_0 is the reference viscosity [Pa*s] at reference strain rate dotvarepsilon_0[1/s], and n the power law exponent []. \n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous","text":"PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)\n\nDefines a power law viscous creeplaw as: \n\n    tau_ij^n  = 2 eta_0 left( dotvarepsilon_ij over dotvarepsilon_0 right)\n\nwhere eta is the effective viscosity [Pa*s].\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep","text":"DislocationCreep(n = 1.0NoUnits, r = 0.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )\n\nDefines the flow law parameter of a dislocation creep law.\n\nThe (isotropic) dislocation creep law, as used by experimentalists, is given by  \n\n     dotgamma = A sigma_mathrmd^n f_mathrmH2O^r expleft(-fracE+PVRTright)\n\nwhere \n\nn is the power law exponent  \nr is the exponent of fugacity dependence \nA is a pre-exponential factor mathrmMPa^-ns^-1 (if manually defined, n and r must be either pre-defined or substituted) \nE is the activation energy mathrmkJmol \nV is the activation volume mathrmm^3mol \ndotgamma is the strain rate mathrm1s \nsigma_mathrmd is the differential stress mathrmMPa which are converted into second invariants using the Apparatus variable that can be\n\neither AxialCompression, SimpleShear or Invariant. If the flow law paramters are already given as a function of second invariants, choose Apparatus=Invariant.\n\nExample\n\njulia> x2 = DislocationCreep(n=3)\nDislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep","text":"SetDislocationCreep[\"Name of Dislocation Creep\"]\n\nSets predefined dislocation creep data from a dictionary\n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep","text":"DiffusionCreep(r = 0NoUnits, p = A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )\n\nDefines the flow law parameter of a dislocation creep law.\n\nThe (isotropic) diffusion creep law, as used by experimentalists, is given by  \n\n     dotgamma = A sigma_mathrmd d^mathrmp f_mathrmH2O^r expleft(-fracE+PVRTright)\n\nwhere \n\nr is the exponent of fugacity dependence \np is the exponent of grain size\nA is a pre-exponential factor mathrmMPa^-ns^-1 (if manually defined, n and r must be either pre-defined or substituted) \nE is the activation energy mathrmkJmol \nV is the activation volume mathrmm^3mol \ndotgamma is the strain rate mathrm1s \nsigma_mathrmd is the differential stress mathrmMPa\n\nThe experimental paramaters are converted into second invariants using the Apparatus variable that can be either AxialCompression, SimpleShear or Invariant. If the flow law paramters are already given as a function of second invariants, choose Apparatus=Invariant.\n\nExample\n\njulia> x2 = DiffusionCreep(Name=\"test\")\nDiffusionCreep: Name = test, n=1.0, r=0.0, p=-3.0, A=1.5 m³·⁰ MPa⁻¹·⁰ s⁻¹·⁰, E=500.0 kJ mol⁻¹·⁰, V=2.4e-5 m³·⁰ mol⁻¹·⁰, FT=1.7320508075688772, FE=1.1547005383792517)\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","text":"SetDiffusionCreep[\"Name of Diffusion Creep\"]\n\nThis is a dictionary with pre-defined creep laws    \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#Computational-routines-for-creep-laws","page":"Creep laws","title":"Computational routines for creep laws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"Once a creep rheology is defined, we can use the following routines to perform computations within the solvers","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"CreepLawVariables\nGeoParams.compute_εII\nGeoParams.compute_εII!\nGeoParams.compute_τII\nGeoParams.compute_τII!\nGeoParams.CorrectionFactor\nGeoParams.RemoveTensorCorrection","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII","text":"compute_εII(a::DiffusionCreep, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)\n\nReturns diffusion creep strainrate as a function of 2nd invariant of the stress tensor tau_II \n\n    dotε_II = A τ_II^n d^p f_H_2O^r exp left(- E + PV over RT right)\n\n\n\n\n\ncompute_εII(s::ConstantElasticity{_T}, τII; τII_old, dt)\n\nComputes elastic strainrate given the deviatoric stress at the current (τII) and old timestep (τII_old), for a timestep dt:\n\n    dotvarepsilon^el = 1 over 2 G D tau_II over Dt   1 over 2 G tau_II- tildetau_II^old over dt \n\nNote that we here solve the scalar equation, which is sufficient for isotropic cases. In tensor form, it would be\n\n    dotvarepsilon^el_ij = 1 over 2 G  tau_ij - tildetau_ij^old over dt \n\nhere tildetau_ij^old is the rotated old deviatoric stress tensor to ensure objectivity (this can be done with Jaumann derivative, or also by using the full rotational formula).\n\n\n\n\n\ncompute_εII(p::DruckerPrager{_T,U,U1}, λdot::_T, τII::_T,  P)\n\nThis computes plastic strain rate invariant for a given λdot\n\n\n\n\n\ncompute_εII(v::Parallel{T,N}, τII, args; tol=1e-6, verbose=false, n=1)\n\nComputing εII as a function of τII for a Parallel elements is (usually) a nonlinear problem\n\n\n\n\n\ncompute_εII(v::CompositeRheology{T,N}, τII, args; tol=1e-6, verbose=false, n=1)\n\nComputing εII as a function of τII for a composite element is the sum of the individual contributions\n\n\n\n\n\ncompute_εII(v::AbstractPlasticity, τII::_T, args; tol=1e-6, verbose=true)\n\nPerforms local iterations to compute the plastic strainrate. Note that the non-plastic strainrate, ε_np, should be part of args\n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!","text":"compute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)\n\nComputes strainrate as a function of stress\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, s::LinearViscous, TauII::AbstractArray{_T,N})\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, s::ArrheniusType, TauII::AbstractArray{_T,N})\n\n\n\n\n\ncompute_εII!(ε_el::AbstractArray{_T,N}, s::ConstantElasticity{_T}; τII::AbstractArray{_T,N}, τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)\n\nIn-place computation of the elastic shear strainrate for given deviatoric stress invariants at the previous (τII_old) and new (τII) timestep, as well as the timestep dt  \n\n    dotvarepsilon^el = 1 over 2 G D tau_II over Dt   1 over 2 G tau_II- tau_II^old over dt \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII","text":"compute_τII(a::DislocationCreep, EpsII; P, T, f, args...)\n\nComputes the stress for a Dislocation creep law given a certain strain rate\n\n\n\n\n\ncomputeCreepLaw_TauII(EpsII::_T, a::DiffusionCreep; T::_T, P=zero(_T), f=one(_T), d=one(_T), kwargs...)\n\nReturns diffusion creep stress as a function of 2nd invariant of the strain rate \n\n\n\n\n\ncompute_τII(s::LinearViscous, EpsII; kwargs...)\n\nReturns second invariant of the stress tensor given a 2nd invariant of strain rate tensor \n\n\n\n\n\ncompute_τII(s::ArrheniusType, EpsII; kwargs...)\n\nReturns second invariant of the stress tensor given a 2nd invariant of strain rate tensor \n\n\n\n\n\nτII = compute_τII(v::CompositeRheology{T,N}, εII, args; tol=1e-6, verbose=false)\n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!","text":"compute_τII!(TauII::AbstractArray{_T,N}, a::DislocationCreep, EpsII::AbstractArray{_T,N}; \n    P =       zero(TauII)::AbstractArray{_T,N}, \n    T = ones(size(TauII))::AbstractArray{_T,N}, \n    f = ones(size(TauII))::AbstractArray{_T,N})\n\nComputes the deviatoric stress invariant for a dislocation creep law\n\n\n\n\n\ncompute_τII!(τII::AbstractArray{_T,N}, s::ConstantElasticity{_T}. ε_el::AbstractArray{_T,N}; τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)\n\nIn-place update of the elastic stress for given deviatoric strainrate invariants and stres invariant at the old (τII_old) timestep, as well as the timestep dt  \n\n    tau_II = 2 G dt dotvarepsilon^el + tau_II^old\n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#Heat-capacity","page":"Heat Capacity","title":"Heat capacity","text":"","category":"section"},{"location":"man/heatcapacity/#Methods","page":"Heat Capacity","title":"Methods","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"Heat capacity is defined as ","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity\nGeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","text":"ConstantHeatCapacity(cp=1050J/mol/kg)\n\nSet a constant heat capacity:\n\n    cp  = cst\n\nwhere cp is the thermal heat capacity [JkgK].\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","text":"T_HeatCapacity_Whittington()\n\nSets a temperature-dependent heat capacity following the parameterization of Whittington et al. (2009), Nature:\n\n    Cp = (a + b T - cT^2)m \n\nwhere Cp is the heat capacity [JkgK], and abc are parameters that dependent on the temperature T:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nmolmass =   0.22178kg/mol \n\nNote that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than JmolK as in eq.3/4 of the paper)\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#Computational-routines","page":"Heat Capacity","title":"Computational routines","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"To compute, use this:","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity\nGeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","text":"Cp = compute_heatcapacity(s:<AbstractHeatCapacity, P, T)\n\nReturns the heat capacity Cp at any temperature T and pressure P using any of the heat capacity laws implemented.\n\nCurrently available:\n\nConstantHeatCapacity\nT_HeatCapacity_Whittington\n\nExample\n\nUsing dimensional units\n\njulia> T  = (250:100:1250)*K;\njulia> cp = T_HeatCapacity_Whittington()\njulia> Cp = ComputeHeatCapacity(0,T,cp)\n11-element Vector{Unitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:\n  635.4269997294616 J kg⁻¹ K⁻¹\n  850.7470171764261 J kg⁻¹ K⁻¹\n  962.0959598489883 J kg⁻¹ K⁻¹\n 1037.5420433770641 J kg⁻¹ K⁻¹\n 1097.3517921966488 J kg⁻¹ K⁻¹\n 1149.2745563671706 J kg⁻¹ K⁻¹\n 1157.7915050948404 J kg⁻¹ K⁻¹\n 1172.3554874197264 J kg⁻¹ K⁻¹\n 1186.9194697445964 J kg⁻¹ K⁻¹\n  1201.483452069455 J kg⁻¹ K⁻¹\n 1216.0474343943067 J kg⁻¹ K⁻¹\n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","text":"compute_heatcapacity!(Cp::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat})\n\nIn-place computation of heat capacity Cp for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#Melting-Parameterizations","page":"Partial Melting","title":"Melting Parameterizations","text":"","category":"section"},{"location":"man/melting/#Methods","page":"Partial Melting","title":"Methods","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"A number of melting parameterisations are implemented, which can be set with:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.MeltingParam_Caricchi\nGeoParams.MeltingParam.MeltingParam_5thOrder\nGeoParams.MeltingParam.MeltingParam_4thOrder\nGeoParams.MeltingParam.MeltingParam_Quadratic\nGeoParams.MeltingParam.MeltingParam_Assimilation\nGeoParams.MeltingParam.SmoothMelting","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Caricchi","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Caricchi","text":"MeltingParam_Caricchi()\n\nImplements the T-dependent melting parameterisation used by Caricchi, Simpson et al. (as for example described in Simpson) \n\n    theta = (a - (T + c)) over b \n\n    phi_melt = 10 over (10 + e^theta)\n\nNote that T is in Kelvin. As default parameters we employ:\n\nb=23K  a=800K  c=27315K\n\nWhich gives a reasonable fit to experimental data of granodioritic composition (Piwinskii and Wyllie, 1968):\n\n(Image: MeltParam_Carrichi)\n\nReferences\n\nSimpson G. (2017) Practical finite element modelling in Earth Sciences Using MATLAB.\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_5thOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_5thOrder","text":"MeltingParam_5thOrder(a,b,c,d,e,f,T_s,T_l)\n\nUses a 5th order polynomial to describe the melt fraction phi between solidus temperature T_s and liquidus temperature T_l\n\n    phi = a T^5 + b T^4 + c T^3 + d T^2 + e T + f  textrm   for    T_s  T  T_l\n\n    phi = 1  textrm   if    TT_l\n\n    phi = 0  textrm   if    TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_5thOrder)\n\nThe default values are for a composite liquid-line-of-descent:\n\nthe upper part is for Andesite from: (Blatter, D. L. & Carmichael, I. S. (2001) Hydrous phase equilibria of a Mexican highsilica andesite: a candidate for a mantle origin? Geochim. Cosmochim. Acta 65, 4043–4065\nthe lower part is extrapolated to the granitic minimum using the Marxer & Ulmer LLD for Andesite (Marxer, F. & Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. Contributions Mineral. Petrol. 174, 84)\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_4thOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_4thOrder","text":"MeltingParam_4thOrder(b,c,d,e,f,T_s,T_l)\n\nUses a 4th order polynomial to describe the melt fraction phi between solidus temperature T_s and liquidus temperature T_l\n\n    phi = b T^4 + c T^3 + d T^2 + e T + f  textrm   for    T_s  T  T_l\n\n    phi = 1 textrm   if    TT_l\n\n    phi = 0  textrm   if    TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_4thOrder)\n\nThe default values are for Tonalite experiments from Marxer and Ulmer (2019):\n\nMarxer, F. & Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. Contributions Mineral. Petrol. 174, 84\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Quadratic","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Quadratic","text":"MeltingParam_Quadratic(T_s,T_l)\n\nQuadratic melt fraction parameterisation where melt fraction phi depends only on solidus (T_s) and liquidus (T_l) temperature:\n\n    phi = 10 - left( T_l - T over T_l - T_s right)^2\n\n    phi = 10 textrm if  TT_l \n\n    phi = 00 textrm if  TT_s \n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_Quadratic)\n\nThis was used, among others, in Tierney et al. (2016) Geology\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Assimilation","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Assimilation","text":"MeltingParam_Assimilation(T_s,T_l,a)\n\nMelt fraction parameterisation that takes the assimilation of crustal host rocks into account, as used by Tierney et al. (2016) based upon a parameterisation of Spera and Bohrson (2001)\n\nHere, the fraction of molten and assimilated host rocks phi depends on the solidus (T_s) and liquidus (T_l) temperatures of the rocks, as well as on a parameter a=0005\n\n    X = left( T - T_s over T_l - T_s right)\n\n    phi = a cdot left( exp^2ln(100)X - 10 right) textrm if  X  05\n\n    phi = 1- a cdot exp^2ln(100)(1-X)  textrm if  X  05\n\n    phi = 10 textrm if  TT_l \n\n    phi = 00 textrm if  TT_s \n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_Assimilation)\n\nThis was used, among others, in Tierney et al. (2016), who employed as default parameters:\n\n   T_s=97315 T_l=117315 a=0005\n\nReferences\n\nSpera, F.J., and Bohrson, W.A., 2001, Energy-Constrained Open-System Magmatic Processes I: General Model and Energy-Constrained Assimilation and Fractional Crystallization (EC- AFC) Formulation: Journal of Petrology, v. 42, p. 999–1018.\nTierney, C.R., Schmitt, A.K., Lovera, O.M., de Silva, S.L., 2016. Voluminous plutonism during volcanic quiescence revealed by thermochemical modeling of zircon. Geology 44, 683–686. https://doi.org/10.1130/G37968.1\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.SmoothMelting","page":"Partial Melting","title":"GeoParams.MeltingParam.SmoothMelting","text":"SmoothMelting(; p=MeltingParam_4thOrder(), k_sol=0.2/K,  k_liq=0.2/K)\n\nThis smoothens the melting parameterisation p around the solidus T_sol and liquidus T_liq using a smoothened Heaviside step functions for the solidus:\n\n    H_sol =  10 over  1 + exp( -2 k_sol (T - T_sol - 2 over k_sol) )  \n\nand liquidus:        \n\n    H_liq =  10 - 10 over  1 + exp( -2 k_liq (T - T_liq + 2 over k_liq) )  \n\nThe resulting melt fraction phi is computed from the original melt fraction phi_0 (computed using one of the methods above) as:\n\n    phi =  phi_0 H_sol H_liq + 10 - H_liq\n\nThe width of the smoothening zones is controlled by k_sol k_liq (larger values = sharper boundary).\n\nThis is important, as jumps in the derivative dϕdT can cause numerical instabilities in latent heat computations, which is prevented with this smoothening.\n\nExample\n\nLet's consider a 4th order parameterisation:\n\njulia> using GeoParams, Plots\njulia> p = MeltingParam_4thOrder();\njulia> T= collect(650.0:1:1050.) .+ 273.15;\njulia> T,phi,dϕdT =  PlotMeltFraction(p,T=T);\n\nThe same but with smoothening:\n\njulia> p_s = SmoothMelting(p=MeltingParam_4thOrder(), k_liq=0.21/K);\n4th order polynomial melting curve: phi = -7.594512597174117e-10T^4 + 3.469192091489447e-6T^3 + -0.00592352980926T^2 + 4.482855645604745T + -1268.730161921053  963.15 K ≤ T ≤ 1270.15 K with smooth Heaviside function smoothening using k_sol=0.1 K⁻¹·⁰, k_liq=0.11 K⁻¹·⁰\njulia> T_s,phi_s,dϕdT_s =  PlotMeltFraction(p_s,T=T);\n\nWe can create plots of this with:\n\njulia> plt1 = plot(T.-273.15, phi, ylabel=\"Melt Fraction ϕ\", color=:red, label=\"original\", xlabel=\"Temperature [C]\")\njulia> plt1 = plot(plt1, T.-273.15, phi_s,  color=:black, label=\"smoothened\", legend=:bottomright)\njulia> plt2 = plot(T.-273.15, dϕdT, ylabel=\"dϕ/dT\", color=:red, label=\"original\", xlabel=\"Temperature [C]\")\njulia> plt2 = plot(plt2, T.-273.15, dϕdT_s,  color=:black, label=\"smoothened\", legend=:topright)\njulia> plot!(plt1,plt2,   xlabel=\"Temperature [C]\", layout=(2,1))\n\nThe derivative no longer has a jump now:\n\n(Image: MeltingParam_Smooth)\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#Computational-routines","page":"Partial Melting","title":"Computational routines","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"To compute the melt fraction at given T and P, use:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.compute_meltfraction!\nGeoParams.MeltingParam.compute_meltfraction","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction!","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction!","text":"compute_meltfraction!(ϕ::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T:AbstractArray{<:AbstractFloat}, p::PhaseDiagram_LookupTable)\n\nIn-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified.\n\n\n\n\n\ncompute_meltfraction(ϕ::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction","text":"compute_meltfraction(P,T, p::AbstractPhaseDiagramsStruct)\n\nComputes melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified.\n\n\n\n\n\nϕ = compute_meltfraction(Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"You can also obtain the derivative of melt fraction versus temperature with (useful to compute latent heat effects):","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.compute_dϕdT!\nGeoParams.MeltingParam.compute_dϕdT","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.compute_dϕdT!","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_dϕdT!","text":"compute_dϕdT!(ϕ::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputates the derivative of melt fraction ϕ versus temperature T, partial phi over partial T for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays. This is employed, for example, in computing latent heat terms in an implicit manner.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#GeoParams.MeltingParam.compute_dϕdT","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_dϕdT","text":"compute_dϕdT(P,T, p::AbstractPhaseDiagramsStruct)\n\nComputes derivative of melt fraction vs T in case we use a phase diagram lookup table. The table should have the column :meltFrac specified. The derivative is computed by finite differencing.\n\n\n\n\n\nϕ = compute_dϕdT(Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputates the derivative of melt fraction ϕ versus temperature T for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays. This is employed in computing latent heat terms in an implicit manner, for example\n\n\n\n\n\n","category":"function"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"Also note that phase diagrams can be imported using PerpleX_LaMEM_Diagram, which may also have melt content information.  The computational routines work with that as well.","category":"page"},{"location":"man/melting/#Plotting-routines","page":"Partial Melting","title":"Plotting routines","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"You can use the routine PlotMeltFraction to create a plot, provided that the Plots package has been loaded","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.PlotMeltFraction","category":"page"},{"location":"man/strengthenvelope/#D-Strength-envelope","page":"1D Strength Envelope","title":"1D Strength envelope","text":"","category":"section"},{"location":"man/strengthenvelope/","page":"1D Strength Envelope","title":"1D Strength Envelope","text":"We provide a routine for computing a 1D strength envelope and the tools for setting up a temperature structure and lithostatic pressure profile.","category":"page"},{"location":"man/strengthenvelope/","page":"1D Strength Envelope","title":"1D Strength Envelope","text":"GeoParams.ConstTemp\nGeoParams.LinTemp\nGeoParams.HalfspaceCoolTemp\nGeoParams.CompTempStruct\nGeoParams.LithPres\nGeoParams.StrengthEnvelopeComp\nGeoParams.StrengthEnvelopePlot\n![XMasTree](../assets/XMasTree.png)","category":"page"},{"location":"man/strengthenvelope/#GeoParams.ConstTemp","page":"1D Strength Envelope","title":"GeoParams.ConstTemp","text":"ConstTemp(T=1000)\n\nSets a constant temperature inside the box\n\nParameters:\n\nT : the value\n\n\n\n\n\n","category":"type"},{"location":"man/strengthenvelope/#GeoParams.LinTemp","page":"1D Strength Envelope","title":"GeoParams.LinTemp","text":"LinTemp(Ttop=0, Tbot=1000)\n\nSets a linear temperature structure from top to bottom\n\nParameters:\n\nTtop: the value @ the top\nTbot: the value @ the bottom\n\n\n\n\n\n","category":"type"},{"location":"man/strengthenvelope/#GeoParams.HalfspaceCoolTemp","page":"1D Strength Envelope","title":"GeoParams.HalfspaceCoolTemp","text":"HalfspaceCoolTemp(Tsurface=0, Tmantle=1350, Age=60, Adiabat=0)\n\nSets a halfspace temperature structure in plate\n\nParameters:\n\nTsurface: surface temperature [C]\nTmantle:  mantle temperature [C]\nAge:      Thermal Age of plate [Myrs]\nAdiabat:  Mantle Adiabat [K/km]\n\n\n\n\n\n","category":"type"},{"location":"man/strengthenvelope/#GeoParams.CompTempStruct","page":"1D Strength Envelope","title":"GeoParams.CompTempStruct","text":"CompTempStruct(Z, s::AbstractTempStruct)\n\nReturns a temperature vector that matches the coordinate vector and temperature structure that were passed in\n\nParameters:\n\nZ: vector with depth coordinates\ns: Temperature structure (CostTemp, LinTemp, HalfspaceCoolTemp)\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#GeoParams.LithPres","page":"1D Strength Envelope","title":"GeoParams.LithPres","text":"LithPres(MatParam, Phases, ρ, T, dz, g)\n\nIteratively solves a 1D lithostatic pressure profile (compatible with temperature- and pressure-dependent densities)\n\nParameters:\n\nMatParam: a tuple of materials (including the following properties: Phase, Density)\nPhases:   vector with the distribtion of phases\nρ:        density vector for initial guess(can be zeros)\nT:        temperature vector\ndz:       grid spacing\ng:        gravitational accelaration\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#GeoParams.StrengthEnvelopeComp","page":"1D Strength Envelope","title":"GeoParams.StrengthEnvelopeComp","text":"StrengthEnvelopeComp(MatParam::NTuple{N, AbstractMaterialParamsStruct}, Thickness::Vector{U}, TempType::AbstractTempStruct=LinTemp(0C, 800C), ε=1e-15/s, nz::Int64=101) where {N, U}\n\nCalculates a 1D strength envelope. Pressure used for Drucker Prager plasticity is lithostatic. To visualize the results in a GUI, use StrengthEnvelopePlot.\n\nParameters:\n\nMatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)\nThickness: a vector listing the thicknesses of the respective layers (should carry units)\nTempType:  the type of temperature profile (ConstTemp(), LinTemp(), HalfspaceCoolTemp())\nε:         background strainrate\nnz:        optional argument controlling the number of points along the profile (default = 101)\n\nExample:\n\njulia> using GLMakie\njulia> MatParam = (SetMaterialParams(Name=\"UC\", Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(\"Wet Quartzite | Ueda et al. (2008)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),\n                   SetMaterialParams(Name=\"MC\", Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(\"Plagioclase An75 | Ji and Zhao (1993)\"), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),\n                   SetMaterialParams(Name=\"LC\", Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(\"Maryland strong diabase | Mackwell et al. (1998)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));\njulia> Thickness = [15,10,15]*km;\n\njulia> StrengthEnvelopeComp(MatParam, Thickness, LinTemp(), ε=1e-15/s)\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#GeoParams.StrengthEnvelopePlot","page":"1D Strength Envelope","title":"GeoParams.StrengthEnvelopePlot","text":"StrengthEnvelopePlot(MatParam, Thickness; TempType, nz)\n\nRequires GLMakie\n\nCreates a GUI that plots a 1D strength envelope. In the GUI, temperature profile and strain rate can be adjusted. The Drucker-Prager plasticity uses lithostatic pressure.\n\nParameters:\n\nMatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)\nThickness: a vector listing the thicknesses of the respective layers (should carry units)\nTempType:  the type of temperature profile (LinTemp=default, HalfspaceCoolTemp, ConstTemp)\nnz:        optional argument controlling the number of points along the profile (default = 101)\n\nExample:\n\njulia> using GLMakie\njulia> MatParam = (SetMaterialParams(Name=\"UC\", Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(\"Wet Quartzite | Ueda et al. (2008)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),\n                   SetMaterialParams(Name=\"MC\", Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(\"Plagioclase An75 | Ji and Zhao (1993)\"), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),\n                   SetMaterialParams(Name=\"LC\", Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(\"Maryland strong diabase | Mackwell et al. (1998)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));\njulia> Thickness = [15,10,15]*km;\n\njulia> StrengthEnvelopePlot(MatParam, Thickness, LinTemp())\n\n\n\n\n\n","category":"function"},{"location":"man/elasticity/#Elasticity","page":"Elasticity","title":"Elasticity","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"Elasticity is, in geodynamics, often used in combination with viscous and plastic rheology.","category":"page"},{"location":"man/elasticity/#Implemented-laws","page":"Elasticity","title":"Implemented laws","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"We provide the following elastic constitutive relationships:","category":"page"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"GeoParams.ConstantElasticity\nGeoParams.SetConstantElasticity","category":"page"},{"location":"man/elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity","page":"Elasticity","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity","text":"ConstantElasticity(G, ν, K, E)\n\nStructure that holds parameters for constant, isotropic, linear elasticity.\n\n\n\n\n\n","category":"type"},{"location":"man/elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity","page":"Elasticity","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity","text":"SetConstantElasticity(; G=nothing, ν=nothing, E=nothing, Kb=nothing)\n\nThis allows setting elastic parameters by specifying 2 out of the 4 elastic parameters G (Elastic shear modulus), ν (Poisson's ratio), E (Young's modulus), or Kb (bulk modulus).\n\n\n\n\n\n","category":"function"},{"location":"man/elasticity/#Computational-routines","page":"Elasticity","title":"Computational routines","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"We can compute the elastic strainrate with:","category":"page"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"GeoParams.compute_εII\nGeoParams.compute_εII!","category":"page"},{"location":"man/shearheating/#Shear-heating","page":"Shear heating","title":"Shear heating","text":"","category":"section"},{"location":"man/shearheating/#Methods","page":"Shear heating","title":"Methods","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"Heat caused by non-recoverable deformation can be specified in ","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","text":"ConstantShearheating(Χ=0.0NoUnits)\n\nSet the shear heating efficiency [0-1] parameter\n\nΧ  = cst\n\nwhere Chi is the shear heating efficiency [NoUnits]\n\nShear heating is computed as\n\nH_s = Chi cdot tau_ij(dotvarepsilon_ij - dotvarepsilon^el_ij)\n\n\n\n\n\n","category":"type"},{"location":"man/shearheating/#Computational-routines","page":"Shear heating","title":"Computational routines","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"To compute, use this:","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.compute_shearheating\nGeoParams.MaterialParameters.Shearheating.compute_shearheating!","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating","text":"H_s = compute_shearheating(s:<AbstractShearheating, τ, ε, ε_el)\n\nComputes the shear heating source term\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\n\n\n\n\nH_s = ComputeShearheating(s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij \n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating!","text":"compute_shearheating!(H_s, s:<AbstractShearheating,  τ, ε, ε_el)\n\nComputes the shear heating source term in-place\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\nNOTE: The shear heating terms require the full deviatoric stress & strain rate tensors, i.e.:\n\n2D tau_ij = left(   \n                beginmatrix\n                    tau_xx  tau_xz \n                    tau_zx  tau_zz \n                endmatrix \n            right)\n\nSince tau_zx=tau_xz, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used! \n\n\n\n\n\ncompute_shearheating!(H_s, s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term H_s in-place when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij \n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#Nondimensionalization","page":"Nondimensionalization","title":"Nondimensionalization","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between GEO, SI or NO units:","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"SI units assume all input and output is in SI units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).\nGEO units uses SI units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as Myrs,km or MPa\nNO units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that velocity is given in m/s).","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"A dimensional parameter can be transformed into a non-dimensional one with nondimensionalize.","category":"page"},{"location":"man/nondimensionalize/#Specify-characteristic-values","page":"Nondimensionalization","title":"Specify characteristic values","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Characteristic values can be defined in 3 ways.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"GeoParams.Units\nAbstractGeoUnit\nGeoUnit\nGeoUnits\nGEO_units\nSI_units\nNO_units\n@unpack_val\n@unpack_units","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units","page":"Nondimensionalization","title":"GeoParams.Units","text":"This provides units and creates a non-dimensionalization object\n\n\n\n\n\n","category":"module"},{"location":"man/nondimensionalize/#GeoParams.Units.AbstractGeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.AbstractGeoUnit","text":"AbstractGeoUnit\n\nAbstract supertype for geo units.\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnit","text":"Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.\n\nHaving that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.\nWith the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnits","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnits","text":"GeoUnits\n\nStructure that holds parameters used for non-dimensionalization\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GEO_units","page":"Nondimensionalization","title":"GeoParams.Units.GEO_units","text":"GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)\n\nCreates a non-dimensionalization object using GEO units.\n\nGEO units implies that upon dimensionalization, time will be in Myrs, length in km, stress in MPa, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (km or m), provided the unit is specified.\n\nExamples:\n\njulia> CharUnits = GEO_units()\nEmploying GEO units \nCharacteristic values: \n         length:      1000 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\njulia> CharUnits.velocity\n1.0e-7 m s⁻¹\n\nIf we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic length:\n\njulia> CharUnits = GEO_units(length=10km)\nEmploying GEO units \nCharacteristic values: \n         length:      10 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.SI_units","page":"Nondimensionalization","title":"GeoParams.Units.SI_units","text":"CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)\n\nSpecify the characteristic values using SI units \n\nExamples:\n\njulia> CharUnits = SI_units(length=1000m)\nEmploying SI units \nCharacteristic values: \n         length:      1000 m\n         time:        1.0e19 s\n         stress:      10 Pa\n         temperature: 1000.0 K\n\nNote that the same can be achieved if the input is given in km:\n\njulia> CharUnits = SI_units(length=1km)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.NO_units","page":"Nondimensionalization","title":"GeoParams.Units.NO_units","text":"CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)\n\nSpecify the characteristic values in non-dimensional units\n\nExamples:\n\njulia> using GeoParams;\njulia> CharUnits = NO_units()\nEmploying NONE units \nCharacteristic values: \n         length:      1\n         time:        1.0 \n         stress:      1\n         temperature: 1.0\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_val","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_val","text":"This unpacks the numerical value of `GeoUnit` in a structure, without the units.\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_val ρ,α = r\njulia> α\n4.0e-5\njulia> typeof(α)\nFloat64\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_units","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_units","text":"This unpacks the numerical value with units of `GeoUnit` parameters in a structure\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_units ρ,α = r\njulia> α\n4.0e-5 K⁻¹·⁰\njulia> typeof(α)\nQuantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#(Non)-dimensionalize-parameters","page":"Nondimensionalization","title":"(Non)-dimensionalize parameters","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"nondimensionalize\ndimensionalize\nisDimensional","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units.nondimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.nondimensionalize","text":"nondimensionalize(param, CharUnits::GeoUnits{TYPE})\n\nNondimensionalizes param using the characteristic values specified in CharUnits\n\nExample 1\n\njulia> using GeoParams;\njulia> CharUnits =   GEO_units();\njulia> v         =   3cm/yr\n3 cm yr⁻¹ \njulia> v_ND      =   nondimensionalize(v, CharUnits) \n0.009506426344208684\n\nExample 2\n\nIn geodynamics one sometimes encounters more funky units\n\njulia> CharUnits =   GEO_units();\njulia> A         =   6.3e-2MPa^-3.05*s^-1\n0.063 MPa⁻³·⁰⁵ s⁻¹\njulia> A_ND      =   nondimensionalize(A, CharUnits) \n7.068716262102384e14\n\nIn case you are interested to see how the units of A look like in different units, use this function from the Unitful package:\n\njulia> uconvert(u\"Pa^-3.05*s^-1\",A) \n3.157479571851836e-20 Pa⁻³·⁰⁵\n\nand to see it decomposed in the basic SI units of length, mass and time:\n\njulia> upreferred(A)\n3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵\n\n\n\n\n\nMatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nNon-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\nnondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nnondimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\nMatParam_ND = nondimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)\n\nNon-dimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.dimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.dimensionalize","text":"dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes param into the dimensions param_dim using the characteristic values specified in CharUnits.  \n\nExample\n\njulia> CharUnits =   GEO_units();\njulia> v_ND      =   nondimensionalize(3cm/yr, CharUnits) \n0.031688087814028945\njulia> v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) \n3.0 cm yr⁻¹\n\n\n\n\n\ndimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\nDimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nDimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\ndimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)\n\ndimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.isDimensional","page":"Nondimensionalization","title":"GeoParams.Units.isDimensional","text":"isDimensional(MatParam::AbstractMaterialParam)\n\ntrue if MatParam is in dimensional units.    \n\n\n\n\n\n","category":"function"},{"location":"man/density/#Density","page":"Density","title":"Density","text":"","category":"section"},{"location":"man/density/#Methods","page":"Density","title":"Methods","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"The density equation of state can be specified in a number of ways","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.ConstantDensity\nGeoParams.MaterialParameters.Density.PT_Density\nGeoParams.MaterialParameters.Density.Compressible_Density","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.ConstantDensity","page":"Density","title":"GeoParams.MaterialParameters.Density.ConstantDensity","text":"ConstantDensity(ρ=2900kg/m^3)\n\nSet a constant density:\n\n    rho  = cst\n\nwhere rho is the density [kgm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.PT_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.PT_Density","text":"PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)\n\nSet a pressure and temperature-dependent density:\n\n    rho  = rho_0 (10 - alpha (T-T_0) + beta  (P-P_0) )  \n\nwhere rho_0 is the density [kgm^3] at reference temperature T_0 and pressure P_0, alpha is the temperature dependence of density and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.Compressible_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.Compressible_Density","text":"Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)\n\nSet a pressure-dependent density:\n\n    rho  = rho_0 exp(β*(P - P_0))  \n\nwhere rho_0 is the density [kgm^3] at reference pressure P_0 and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#Computational-routines","page":"Density","title":"Computational routines","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"To evaluate density within a user routine, use this:","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.compute_density\nGeoParams.MaterialParameters.Density.compute_density!","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density","text":"compute_density(P,T, s::PhaseDiagram_LookupTable)\n\nInterpolates density as a function of T,P from a lookup table  \n\n\n\n\n\n","category":"function"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density!","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density!","text":"compute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I<:Integer}\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\nExample\n\njulia> MatParam = (SetMaterialParams(Name=\"Mantle\", Phase=1,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                        Density   = PT_Density()\n                        ),\n                    SetMaterialParams(Name=\"Crust\", Phase=2,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),\n                        Density   = ConstantDensity(ρ=2900kg/m^3))\n                  );\njulia> Phases = ones(Int64,400,400);\njulia> Phases[:,20:end] .= 2\njulia> rho     = zeros(size(Phases))\njulia> T       =  ones(size(Phases))\njulia> P       =  ones(size(Phases))*10\njulia> compute_density!(rho, MatParam, Phases, P, T)\njulia> rho\n400×400 Matrix{Float64}:\n2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮                            \n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n\nThe routine is made to minimize allocations:\n\njulia> using BenchmarkTools\njulia> @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)\n    203.468 μs (0 allocations: 0 bytes)\n\n_____________________________________________________________________________________________________________________________   \n\ncompute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/density/","page":"Density","title":"Density","text":"Note that density values are usually not used in itself in the governing PDE's, but usually in combination with other parameters, such as rho g or rho c_p. the non-dimensional value of rho may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.","category":"page"},{"location":"man/gravity/#Gravitational-acceleration","page":"Gravity","title":"Gravitational acceleration","text":"","category":"section"},{"location":"man/gravity/#Methods","page":"Gravity","title":"Methods","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"Gravitational acceleration is defined as ","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","text":"GravityConstant(g=9.81m/s^2)\n\nSet a constant value for the gravitational acceleration:\n\n    g  = 981 m s^-2\n\n\n\n\n\n","category":"type"},{"location":"man/gravity/#Computational-routines","page":"Gravity","title":"Computational routines","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"To compute, use this:","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","text":"compute_gravity(s:<AbstractGravity)\n\nReturns the gravitational acceleration \n\n\n\n\n\n","category":"function"},{"location":"#GeoParams.jl","page":"Home","title":"GeoParams.jl","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:","category":"page"},{"location":"","page":"Home","title":"Home","text":"Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).\nMaterial parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. ","category":"page"},{"location":"","page":"Home","title":"Home","text":"We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).","category":"page"},{"location":"man/conductivity/#Conductivity","page":"Conductivity","title":"Conductivity","text":"","category":"section"},{"location":"man/conductivity/#Methods","page":"Conductivity","title":"Methods","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"Thermal conductivity is defined as ","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity\nGeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington\nGeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised\nGeoParams.MaterialParameters.Conductivity.TP_Conductivity\nGeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity","text":"ConstantConductivity(k=3.0W/m/K)\n\nSet a constant conductivity\n\n    k  = cst\n\nwhere k is the thermal conductivity [WmK].\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington","text":"T_Conductivity_Whittington()\n\nSets a temperature-dependent conductivity following the parameterization of Whittington, A.G., Hofmeister, A.M., Nabelek, P.I., 2009. Temperature-dependent thermal diffusivity of the Earth’s crust and implications for magmatism. Nature 458, 319–321. https://doi.org/10.1038/nature07818.  Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us to compute \n\n    Cp = a + b T - cT^2 \n\n    kappa = dT - e textrm if  T=846K\n\n    kappa = f - g*T textrm if  T846K\n\n    rho = 2700 kgm^3\n\n    k = kappa rho Cp\n\nwhere Cp is the heat capacity [JmolK], and abc are parameters that dependent on the temperature T:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nd = 576.3m^2/s*K      \ne = 0.062m^2/s        \nf = 0.732m^2/s        \ng = 0.000135m^2/s/K \n\nThis looks like:\n\n(Image: subet1)\n\nExample\n\njulia> using GeoParams, Plots\njulia> p=T_Conductivity_Whittington();\njulia> T,k,plt = PlotConductivity(p)\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised","text":"T_Conductivity_Whittington_parameterised()\n\nSets a temperature-dependent conductivity that is  parameterization after Whittington, et al.  2009 \n\nThe original parameterization involves quite a few parameters; this is a polynomial fit that is roughly valid from 0-1000Celcius\n\n    k WmK = -2 10^-9 (T-Ts)^3 + 6 10^-6 (T-Ts)^2 - 00062 (T-Ts) + 4\n\n    Ts = 27315 K\n\nwhere T[K] is the temperature in Kelvin (or the nondimensional equivalent of it).\n\nThe comparison of this parameterisation vs. the original one is: (Image: subet1)\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.TP_Conductivity","text":"TP_Conductivity()\n\nSets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for  \n\n    k = left( a_k +  b_k over T + c_k right) (1 + d_k P) \n\nwhere k is the conductivity [WKm], and a_kb_kc_kd_k are parameters that dependent on the temperature T and pressure P:\n\na_k = 1.18Watt/K/m    \nb_k = 474Watt/m \nc_k = 77K       \nd_k = 0/MPa       \n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","text":"Set_TP_Conductivity[\"Name of temperature(-pressure) dependent conductivity\"]\n\nThis is a dictionary with pre-defined laws:\n\n\"UpperCrust\"    \n\"LowerCrust\"\n\"OceanicCrust\"\n\"Mantle\"\n\nExample\n\njulia> k=Set_TP_Conductivity[\"Mantle\"]\nT/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)  \n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#Computational-routines","page":"Conductivity","title":"Computational routines","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"To compute, use this:","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.compute_conductivity\nGeoParams.MaterialParameters.Conductivity.compute_conductivity!","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity","text":"k = compute_conductivity(P, T, s:<AbstractConductivity)\n\nReturns the thermal conductivity k at any temperature T and pressure P using any of the parameterizations implemented.\n\nCurrently available:\n\nConstantConductivity\nT_Conductivity_Whittington\nTP_Conductivity\n\nExample\n\nUsing dimensional units\n\njulia> T  = (250:100:1250)*K;\njulia> cp = T_HeatCapacity_Whittington()\njulia> Cp = ComputeHeatCapacity(0,T,cp)\n\n\n\n\n\ncompute_conductivity!(K::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},Temp::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of conductivity K for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and Temp arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n_________________________________________________________________________________________________________\n\ncompute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity!","text":"compute_conductivity(k_array::AbstractArray{<:AbstractFloat,N},P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, s::ConstantConductivity) where N\n\nIn-place routine to compute constant conductivity    \n\n\n\n\n\n","category":"function"}]
+}
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+    DOC_VERSIONS.forEach(function(each) {
+      var version_url = documenterBaseURL + "/../" + each;
+      var existing_id = $.inArray(each, existing_versions_texts);
+      // if not already in the version selector, add it as a new option,
+      // otherwise update the old option with the URL and enable it
+      if (existing_id == -1) {
+        var option = $("<option value='" + version_url + "'>" + each + "</option>");
+        version_selector_select.append(option);
+      } else {
+        var option = existing_versions[existing_id];
+        option.value = version_url;
+        option.disabled = false;
+      }
+    });
+  }
+
+  // only show the version selector if the selector has been populated
+  if (version_selector_select.children("option").length > 0) {
+    version_selector.toggleClass("visible");
+  }
+})
+
+})
diff --git a/v0.4.1/assets/logo.png b/v0.4.1/assets/logo.png
new file mode 100644
index 000000000..dae9e66cd
Binary files /dev/null and b/v0.4.1/assets/logo.png differ
diff --git a/v0.4.1/assets/logo_avatar.png b/v0.4.1/assets/logo_avatar.png
new file mode 100644
index 000000000..52bca2064
Binary files /dev/null and b/v0.4.1/assets/logo_avatar.png differ
diff --git a/v0.4.1/assets/search.js b/v0.4.1/assets/search.js
new file mode 100644
index 000000000..c133f7410
--- /dev/null
+++ b/v0.4.1/assets/search.js
@@ -0,0 +1,267 @@
+// Generated by Documenter.jl
+requirejs.config({
+  paths: {
+    'lunr': 'https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min',
+    'lodash': 'https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.21/lodash.min',
+    'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min',
+  }
+});
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'lunr', 'lodash'], function($, lunr, _) {
+
+$(document).ready(function() {
+  // parseUri 1.2.2
+  // (c) Steven Levithan <stevenlevithan.com>
+  // MIT License
+  function parseUri (str) {
+    var  o   = parseUri.options,
+      m   = o.parser[o.strictMode ? "strict" : "loose"].exec(str),
+      uri = {},
+      i   = 14;
+
+    while (i--) uri[o.key[i]] = m[i] || "";
+
+    uri[o.q.name] = {};
+    uri[o.key[12]].replace(o.q.parser, function ($0, $1, $2) {
+      if ($1) uri[o.q.name][$1] = $2;
+    });
+
+    return uri;
+  };
+  parseUri.options = {
+    strictMode: false,
+    key: ["source","protocol","authority","userInfo","user","password","host","port","relative","path","directory","file","query","anchor"],
+    q:   {
+      name:   "queryKey",
+      parser: /(?:^|&)([^&=]*)=?([^&]*)/g
+    },
+    parser: {
+      strict: /^(?:([^:\/?#]+):)?(?:\/\/((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?))?((((?:[^?#\/]*\/)*)([^?#]*))(?:\?([^#]*))?(?:#(.*))?)/,
+      loose:  /^(?:(?![^:@]+:[^:@\/]*@)([^:\/?#.]+):)?(?:\/\/)?((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?)(((\/(?:[^?#](?![^?#\/]*\.[^?#\/.]+(?:[?#]|$)))*\/?)?([^?#\/]*))(?:\?([^#]*))?(?:#(.*))?)/
+    }
+  };
+
+  $("#search-form").submit(function(e) {
+    e.preventDefault()
+  })
+
+  // list below is the lunr 2.1.3 list minus the intersect with names(Base)
+  // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with)
+  // ideally we'd just filter the original list but it's not available as a variable
+  lunr.stopWordFilter = lunr.generateStopWordFilter([
+    'a',
+    'able',
+    'about',
+    'across',
+    'after',
+    'almost',
+    'also',
+    'am',
+    'among',
+    'an',
+    'and',
+    'are',
+    'as',
+    'at',
+    'be',
+    'because',
+    'been',
+    'but',
+    'by',
+    'can',
+    'cannot',
+    'could',
+    'dear',
+    'did',
+    'does',
+    'either',
+    'ever',
+    'every',
+    'from',
+    'got',
+    'had',
+    'has',
+    'have',
+    'he',
+    'her',
+    'hers',
+    'him',
+    'his',
+    'how',
+    'however',
+    'i',
+    'if',
+    'into',
+    'it',
+    'its',
+    'just',
+    'least',
+    'like',
+    'likely',
+    'may',
+    'me',
+    'might',
+    'most',
+    'must',
+    'my',
+    'neither',
+    'no',
+    'nor',
+    'not',
+    'of',
+    'off',
+    'often',
+    'on',
+    'or',
+    'other',
+    'our',
+    'own',
+    'rather',
+    'said',
+    'say',
+    'says',
+    'she',
+    'should',
+    'since',
+    'so',
+    'some',
+    'than',
+    'that',
+    'the',
+    'their',
+    'them',
+    'then',
+    'there',
+    'these',
+    'they',
+    'this',
+    'tis',
+    'to',
+    'too',
+    'twas',
+    'us',
+    'wants',
+    'was',
+    'we',
+    'were',
+    'what',
+    'when',
+    'who',
+    'whom',
+    'why',
+    'will',
+    'would',
+    'yet',
+    'you',
+    'your'
+  ])
+
+  // add . as a separator, because otherwise "title": "Documenter.Anchors.add!"
+  // would not find anything if searching for "add!", only for the entire qualification
+  lunr.tokenizer.separator = /[\s\-\.]+/
+
+  // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names
+  lunr.trimmer = function (token) {
+    return token.update(function (s) {
+      return s.replace(/^[^a-zA-Z0-9@!]+/, '').replace(/[^a-zA-Z0-9@!]+$/, '')
+    })
+  }
+
+  lunr.Pipeline.registerFunction(lunr.stopWordFilter, 'juliaStopWordFilter')
+  lunr.Pipeline.registerFunction(lunr.trimmer, 'juliaTrimmer')
+
+  var index = lunr(function () {
+    this.ref('location')
+    this.field('title',{boost: 100})
+    this.field('text')
+    documenterSearchIndex['docs'].forEach(function(e) {
+        this.add(e)
+    }, this)
+  })
+  var store = {}
+
+  documenterSearchIndex['docs'].forEach(function(e) {
+      store[e.location] = {title: e.title, category: e.category, page: e.page}
+  })
+
+  $(function(){
+    searchresults = $('#documenter-search-results');
+    searchinfo = $('#documenter-search-info');
+    searchbox = $('#documenter-search-query');
+    searchform = $('.docs-search');
+    sidebar = $('.docs-sidebar');
+    function update_search(querystring) {
+      tokens = lunr.tokenizer(querystring)
+      results = index.query(function (q) {
+        tokens.forEach(function (t) {
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 100,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 10,
+            usePipeline: true,
+            editDistance: 2,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["text"],
+            boost: 1,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+        })
+      })
+      searchinfo.text("Number of results: " + results.length)
+      searchresults.empty()
+      results.forEach(function(result) {
+        data = store[result.ref]
+        link = $('<a class="docs-label">'+data.title+'</a>')
+        link.attr('href', documenterBaseURL+'/'+result.ref)
+        if (data.category != "page"){
+          cat = $('<span class="docs-category">('+data.category+', '+data.page+')</span>')
+        } else {
+          cat = $('<span class="docs-category">('+data.category+')</span>')
+        }
+        li = $('<li>').append(link).append(" ").append(cat)
+        searchresults.append(li)
+      })
+    }
+
+    function update_search_box() {
+      querystring = searchbox.val()
+      update_search(querystring)
+    }
+
+    searchbox.keyup(_.debounce(update_search_box, 250))
+    searchbox.change(update_search_box)
+
+    // Disable enter-key form submission for the searchbox on the search page
+    // and just re-run search rather than refresh the whole page.
+    searchform.keypress(
+      function(event){
+        if (event.which == '13') {
+          if (sidebar.hasClass('visible')) {
+            sidebar.removeClass('visible');
+          }
+          update_search_box();
+          event.preventDefault();
+        }
+      }
+    );
+
+    search_query_uri = parseUri(window.location).queryKey["q"]
+    if(search_query_uri !== undefined) {
+      search_query = decodeURIComponent(search_query_uri.replace(/\+/g, '%20'))
+      searchbox.val(search_query)
+    }
+    update_search_box();
+  })
+})
+
+})
diff --git a/v0.4.1/assets/themes/documenter-dark.css b/v0.4.1/assets/themes/documenter-dark.css
new file mode 100644
index 000000000..0bf1af7d5
--- /dev/null
+++ b/v0.4.1/assets/themes/documenter-dark.css
@@ -0,0 +1,7702 @@
+@charset "UTF-8";
+/* Font Awesome 5 mixin. Can be included in any rule that should render Font Awesome icons. */
+@keyframes spinAround {
+  from {
+    transform: rotate(0deg); }
+  to {
+    transform: rotate(359deg); } }
+
+html.theme--documenter-dark .tabs, html.theme--documenter-dark .pagination-previous,
+html.theme--documenter-dark .pagination-next,
+html.theme--documenter-dark .pagination-link,
+html.theme--documenter-dark .pagination-ellipsis, html.theme--documenter-dark .breadcrumb, html.theme--documenter-dark .file, html.theme--documenter-dark .button, .is-unselectable, html.theme--documenter-dark .modal-close, html.theme--documenter-dark .delete {
+  -webkit-touch-callout: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  user-select: none; }
+
+html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after, html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after {
+  border: 3px solid transparent;
+  border-radius: 2px;
+  border-right: 0;
+  border-top: 0;
+  content: " ";
+  display: block;
+  height: 0.625em;
+  margin-top: -0.4375em;
+  pointer-events: none;
+  position: absolute;
+  top: 50%;
+  transform: rotate(-45deg);
+  transform-origin: center;
+  width: 0.625em; }
+
+html.theme--documenter-dark .admonition:not(:last-child), html.theme--documenter-dark .tabs:not(:last-child), html.theme--documenter-dark .message:not(:last-child), html.theme--documenter-dark .list:not(:last-child), html.theme--documenter-dark .level:not(:last-child), html.theme--documenter-dark .breadcrumb:not(:last-child), html.theme--documenter-dark .highlight:not(:last-child), html.theme--documenter-dark .block:not(:last-child), html.theme--documenter-dark .title:not(:last-child),
+html.theme--documenter-dark .subtitle:not(:last-child), html.theme--documenter-dark .table-container:not(:last-child), html.theme--documenter-dark .table:not(:last-child), html.theme--documenter-dark .progress:not(:last-child), html.theme--documenter-dark .notification:not(:last-child), html.theme--documenter-dark .content:not(:last-child), html.theme--documenter-dark .box:not(:last-child) {
+  margin-bottom: 1.5rem; }
+
+html.theme--documenter-dark .modal-close, html.theme--documenter-dark .delete {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  background-color: rgba(10, 10, 10, 0.2);
+  border: none;
+  border-radius: 290486px;
+  cursor: pointer;
+  pointer-events: auto;
+  display: inline-block;
+  flex-grow: 0;
+  flex-shrink: 0;
+  font-size: 0;
+  height: 20px;
+  max-height: 20px;
+  max-width: 20px;
+  min-height: 20px;
+  min-width: 20px;
+  outline: none;
+  position: relative;
+  vertical-align: top;
+  width: 20px; }
+  html.theme--documenter-dark .modal-close::before, html.theme--documenter-dark .delete::before, html.theme--documenter-dark .modal-close::after, html.theme--documenter-dark .delete::after {
+    background-color: white;
+    content: "";
+    display: block;
+    left: 50%;
+    position: absolute;
+    top: 50%;
+    transform: translateX(-50%) translateY(-50%) rotate(45deg);
+    transform-origin: center center; }
+  html.theme--documenter-dark .modal-close::before, html.theme--documenter-dark .delete::before {
+    height: 2px;
+    width: 50%; }
+  html.theme--documenter-dark .modal-close::after, html.theme--documenter-dark .delete::after {
+    height: 50%;
+    width: 2px; }
+  html.theme--documenter-dark .modal-close:hover, html.theme--documenter-dark .delete:hover, html.theme--documenter-dark .modal-close:focus, html.theme--documenter-dark .delete:focus {
+    background-color: rgba(10, 10, 10, 0.3); }
+  html.theme--documenter-dark .modal-close:active, html.theme--documenter-dark .delete:active {
+    background-color: rgba(10, 10, 10, 0.4); }
+  html.theme--documenter-dark .is-small.modal-close, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.modal-close, html.theme--documenter-dark .is-small.delete, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.delete {
+    height: 16px;
+    max-height: 16px;
+    max-width: 16px;
+    min-height: 16px;
+    min-width: 16px;
+    width: 16px; }
+  html.theme--documenter-dark .is-medium.modal-close, html.theme--documenter-dark .is-medium.delete {
+    height: 24px;
+    max-height: 24px;
+    max-width: 24px;
+    min-height: 24px;
+    min-width: 24px;
+    width: 24px; }
+  html.theme--documenter-dark .is-large.modal-close, html.theme--documenter-dark .is-large.delete {
+    height: 32px;
+    max-height: 32px;
+    max-width: 32px;
+    min-height: 32px;
+    min-width: 32px;
+    width: 32px; }
+
+html.theme--documenter-dark .control.is-loading::after, html.theme--documenter-dark .select.is-loading::after, html.theme--documenter-dark .loader, html.theme--documenter-dark .button.is-loading::after {
+  animation: spinAround 500ms infinite linear;
+  border: 2px solid #dbdee0;
+  border-radius: 290486px;
+  border-right-color: transparent;
+  border-top-color: transparent;
+  content: "";
+  display: block;
+  height: 1em;
+  position: relative;
+  width: 1em; }
+
+html.theme--documenter-dark .hero-video, html.theme--documenter-dark .modal-background, html.theme--documenter-dark .modal, html.theme--documenter-dark .image.is-square img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square img,
+html.theme--documenter-dark .image.is-square .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, html.theme--documenter-dark .image.is-1by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+html.theme--documenter-dark .image.is-1by1 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, html.theme--documenter-dark .image.is-5by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+html.theme--documenter-dark .image.is-5by4 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, html.theme--documenter-dark .image.is-4by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+html.theme--documenter-dark .image.is-4by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, html.theme--documenter-dark .image.is-3by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+html.theme--documenter-dark .image.is-3by2 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, html.theme--documenter-dark .image.is-5by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+html.theme--documenter-dark .image.is-5by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, html.theme--documenter-dark .image.is-16by9 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+html.theme--documenter-dark .image.is-16by9 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, html.theme--documenter-dark .image.is-2by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+html.theme--documenter-dark .image.is-2by1 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, html.theme--documenter-dark .image.is-3by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+html.theme--documenter-dark .image.is-3by1 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, html.theme--documenter-dark .image.is-4by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+html.theme--documenter-dark .image.is-4by5 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, html.theme--documenter-dark .image.is-3by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+html.theme--documenter-dark .image.is-3by4 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, html.theme--documenter-dark .image.is-2by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+html.theme--documenter-dark .image.is-2by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, html.theme--documenter-dark .image.is-3by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+html.theme--documenter-dark .image.is-3by5 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, html.theme--documenter-dark .image.is-9by16 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+html.theme--documenter-dark .image.is-9by16 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, html.theme--documenter-dark .image.is-1by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+html.theme--documenter-dark .image.is-1by2 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, html.theme--documenter-dark .image.is-1by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+html.theme--documenter-dark .image.is-1by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio, .is-overlay {
+  bottom: 0;
+  left: 0;
+  position: absolute;
+  right: 0;
+  top: 0; }
+
+html.theme--documenter-dark .pagination-previous,
+html.theme--documenter-dark .pagination-next,
+html.theme--documenter-dark .pagination-link,
+html.theme--documenter-dark .pagination-ellipsis, html.theme--documenter-dark .file-cta,
+html.theme--documenter-dark .file-name, html.theme--documenter-dark .select select, html.theme--documenter-dark .textarea, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark .button {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  align-items: center;
+  border: 1px solid transparent;
+  border-radius: 0.4em;
+  box-shadow: none;
+  display: inline-flex;
+  font-size: 15px;
+  height: 2.25em;
+  justify-content: flex-start;
+  line-height: 1.5;
+  padding-bottom: calc(0.375em - 1px);
+  padding-left: calc(0.625em - 1px);
+  padding-right: calc(0.625em - 1px);
+  padding-top: calc(0.375em - 1px);
+  position: relative;
+  vertical-align: top; }
+  html.theme--documenter-dark .pagination-previous:focus,
+  html.theme--documenter-dark .pagination-next:focus,
+  html.theme--documenter-dark .pagination-link:focus,
+  html.theme--documenter-dark .pagination-ellipsis:focus, html.theme--documenter-dark .file-cta:focus,
+  html.theme--documenter-dark .file-name:focus, html.theme--documenter-dark .select select:focus, html.theme--documenter-dark .textarea:focus, html.theme--documenter-dark .input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:focus, html.theme--documenter-dark .button:focus, html.theme--documenter-dark .is-focused.pagination-previous,
+  html.theme--documenter-dark .is-focused.pagination-next,
+  html.theme--documenter-dark .is-focused.pagination-link,
+  html.theme--documenter-dark .is-focused.pagination-ellipsis, html.theme--documenter-dark .is-focused.file-cta,
+  html.theme--documenter-dark .is-focused.file-name, html.theme--documenter-dark .select select.is-focused, html.theme--documenter-dark .is-focused.textarea, html.theme--documenter-dark .is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-focused.button, html.theme--documenter-dark .pagination-previous:active,
+  html.theme--documenter-dark .pagination-next:active,
+  html.theme--documenter-dark .pagination-link:active,
+  html.theme--documenter-dark .pagination-ellipsis:active, html.theme--documenter-dark .file-cta:active,
+  html.theme--documenter-dark .file-name:active, html.theme--documenter-dark .select select:active, html.theme--documenter-dark .textarea:active, html.theme--documenter-dark .input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:active, html.theme--documenter-dark .button:active, html.theme--documenter-dark .is-active.pagination-previous,
+  html.theme--documenter-dark .is-active.pagination-next,
+  html.theme--documenter-dark .is-active.pagination-link,
+  html.theme--documenter-dark .is-active.pagination-ellipsis, html.theme--documenter-dark .is-active.file-cta,
+  html.theme--documenter-dark .is-active.file-name, html.theme--documenter-dark .select select.is-active, html.theme--documenter-dark .is-active.textarea, html.theme--documenter-dark .is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .is-active.button {
+    outline: none; }
+  html.theme--documenter-dark .pagination-previous[disabled],
+  html.theme--documenter-dark .pagination-next[disabled],
+  html.theme--documenter-dark .pagination-link[disabled],
+  html.theme--documenter-dark .pagination-ellipsis[disabled], html.theme--documenter-dark .file-cta[disabled],
+  html.theme--documenter-dark .file-name[disabled], html.theme--documenter-dark .select select[disabled], html.theme--documenter-dark .textarea[disabled], html.theme--documenter-dark .input[disabled], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled], html.theme--documenter-dark .button[disabled], fieldset[disabled] html.theme--documenter-dark .pagination-previous, html.theme--documenter-dark fieldset[disabled] .pagination-previous,
+  fieldset[disabled] html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark fieldset[disabled] .pagination-next,
+  fieldset[disabled] html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark fieldset[disabled] .pagination-link,
+  fieldset[disabled] html.theme--documenter-dark .pagination-ellipsis,
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+
+/*! minireset.css v0.0.4 | MIT License | github.com/jgthms/minireset.css */
+html,
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+html {
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+*, *::before, *::after {
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+img,
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+  height: auto;
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+@media screen and (max-width: 768px) {
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+    font-size: 1.25rem !important; }
+  .is-size-6-widescreen {
+    font-size: 15px !important; }
+  .is-size-7-widescreen {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-size-1-fullhd {
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+    text-align: center !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
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+    text-align: center !important; } }
+
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+    text-align: center !important; } }
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+    text-align: center !important; } }
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+    text-align: center !important; } }
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+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-centered-widescreen-only {
+    text-align: center !important; } }
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+    text-align: center !important; } }
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+    text-align: justify !important; } }
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+    text-align: justify !important; } }
+
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+@media screen and (min-width: 1216px) {
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+@media screen and (min-width: 1216px) and (max-width: 1407px) {
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+@media screen and (min-width: 1408px) {
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+  .has-text-left-desktop-only {
+    text-align: left !important; } }
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+    text-align: left !important; } }
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+    text-align: left !important; } }
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+    text-align: right !important; } }
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+  .has-text-right-tablet {
+    text-align: right !important; } }
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+@media screen and (min-width: 769px) and (max-width: 1055px) {
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+    text-align: right !important; } }
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+  .has-text-right-fullhd {
+    text-align: right !important; } }
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+.is-family-primary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
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+@media screen and (max-width: 768px) {
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+    display: flex !important; } }
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+    display: flex !important; } }
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+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-flex-widescreen-only {
+    display: flex !important; } }
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+@media screen and (min-width: 1408px) {
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+
+.is-inline {
+  display: inline !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-mobile {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-tablet {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-tablet-only {
+    display: inline !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-touch {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-desktop {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-desktop-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-widescreen {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-widescreen-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-fullhd {
+    display: inline !important; } }
+
+.is-inline-block {
+  display: inline-block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-block-mobile {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-block-tablet {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-block-tablet-only {
+    display: inline-block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-block-touch {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-block-desktop {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-block-desktop-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-block-widescreen {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-block-widescreen-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-block-fullhd {
+    display: inline-block !important; } }
+
+.is-inline-flex {
+  display: inline-flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-flex-mobile {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-flex-tablet {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-flex-tablet-only {
+    display: inline-flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-flex-touch {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-flex-desktop {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-flex-desktop-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-flex-widescreen {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-flex-widescreen-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-flex-fullhd {
+    display: inline-flex !important; } }
+
+.is-hidden {
+  display: none !important; }
+
+.is-sr-only {
+  border: none !important;
+  clip: rect(0, 0, 0, 0) !important;
+  height: 0.01em !important;
+  overflow: hidden !important;
+  padding: 0 !important;
+  position: absolute !important;
+  white-space: nowrap !important;
+  width: 0.01em !important; }
+
+@media screen and (max-width: 768px) {
+  .is-hidden-mobile {
+    display: none !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-hidden-tablet {
+    display: none !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-hidden-tablet-only {
+    display: none !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-hidden-touch {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-hidden-desktop {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-hidden-desktop-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-hidden-widescreen {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-hidden-widescreen-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-hidden-fullhd {
+    display: none !important; } }
+
+.is-invisible {
+  visibility: hidden !important; }
+
+@media screen and (max-width: 768px) {
+  .is-invisible-mobile {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-invisible-tablet {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-invisible-tablet-only {
+    visibility: hidden !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-invisible-touch {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-invisible-desktop {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-invisible-desktop-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-invisible-widescreen {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-invisible-widescreen-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-invisible-fullhd {
+    visibility: hidden !important; } }
+
+.is-marginless {
+  margin: 0 !important; }
+
+.is-paddingless {
+  padding: 0 !important; }
+
+.is-radiusless {
+  border-radius: 0 !important; }
+
+.is-shadowless {
+  box-shadow: none !important; }
+
+.is-relative {
+  position: relative !important; }
+
+html.theme--documenter-dark {
+  /* This file contain the overall layout.
+ *
+ * The main container is <div> that is identified by id #documenter.
+ */
+  /*!
+  Theme: a11y-dark
+  Author: @ericwbailey
+  Maintainer: @ericwbailey
+
+  Based on the Tomorrow Night Eighties theme: https://github.com/isagalaev/highlight.js/blob/master/src/styles/tomorrow-night-eighties.css
+*/
+  /* Comment */
+  /* Red */
+  /* Orange */
+  /* Yellow */
+  /* Green */
+  /* Blue */
+  /* Purple */ }
+  html.theme--documenter-dark html {
+    background-color: #1f2424;
+    font-size: 16px;
+    -moz-osx-font-smoothing: grayscale;
+    -webkit-font-smoothing: antialiased;
+    min-width: 300px;
+    overflow-x: auto;
+    overflow-y: scroll;
+    text-rendering: optimizeLegibility;
+    text-size-adjust: 100%; }
+  html.theme--documenter-dark article,
+  html.theme--documenter-dark aside,
+  html.theme--documenter-dark figure,
+  html.theme--documenter-dark footer,
+  html.theme--documenter-dark header,
+  html.theme--documenter-dark hgroup,
+  html.theme--documenter-dark section {
+    display: block; }
+  html.theme--documenter-dark body,
+  html.theme--documenter-dark button,
+  html.theme--documenter-dark input,
+  html.theme--documenter-dark select,
+  html.theme--documenter-dark textarea {
+    font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif; }
+  html.theme--documenter-dark code,
+  html.theme--documenter-dark pre {
+    -moz-osx-font-smoothing: auto;
+    -webkit-font-smoothing: auto;
+    font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace; }
+  html.theme--documenter-dark body {
+    color: #fff;
+    font-size: 1em;
+    font-weight: 400;
+    line-height: 1.5; }
+  html.theme--documenter-dark a {
+    color: #1abc9c;
+    cursor: pointer;
+    text-decoration: none; }
+    html.theme--documenter-dark a strong {
+      color: currentColor; }
+    html.theme--documenter-dark a:hover {
+      color: #1dd2af; }
+  html.theme--documenter-dark code {
+    background-color: rgba(255, 255, 255, 0.05);
+    color: #ececec;
+    font-size: 0.875em;
+    font-weight: normal;
+    padding: 0.1em; }
+  html.theme--documenter-dark hr {
+    background-color: #282f2f;
+    border: none;
+    display: block;
+    height: 2px;
+    margin: 1.5rem 0; }
+  html.theme--documenter-dark img {
+    height: auto;
+    max-width: 100%; }
+  html.theme--documenter-dark input[type="checkbox"],
+  html.theme--documenter-dark input[type="radio"] {
+    vertical-align: baseline; }
+  html.theme--documenter-dark small {
+    font-size: 0.875em; }
+  html.theme--documenter-dark span {
+    font-style: inherit;
+    font-weight: inherit; }
+  html.theme--documenter-dark strong {
+    color: #f2f2f2;
+    font-weight: 700; }
+  html.theme--documenter-dark fieldset {
+    border: none; }
+  html.theme--documenter-dark pre {
+    -webkit-overflow-scrolling: touch;
+    background-color: #282f2f;
+    color: #fff;
+    font-size: 0.875em;
+    overflow-x: auto;
+    padding: 1.25rem 1.5rem;
+    white-space: pre;
+    word-wrap: normal; }
+    html.theme--documenter-dark pre code {
+      background-color: transparent;
+      color: currentColor;
+      font-size: 1em;
+      padding: 0; }
+  html.theme--documenter-dark table td,
+  html.theme--documenter-dark table th {
+    vertical-align: top; }
+    html.theme--documenter-dark table td:not([align]),
+    html.theme--documenter-dark table th:not([align]) {
+      text-align: left; }
+  html.theme--documenter-dark table th {
+    color: #f2f2f2; }
+  html.theme--documenter-dark .box {
+    background-color: #343c3d;
+    border-radius: 8px;
+    box-shadow: none;
+    color: #fff;
+    display: block;
+    padding: 1.25rem; }
+  html.theme--documenter-dark a.box:hover, html.theme--documenter-dark a.box:focus {
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px #1abc9c; }
+  html.theme--documenter-dark a.box:active {
+    box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2), 0 0 0 1px #1abc9c; }
+  html.theme--documenter-dark .button {
+    background-color: #282f2f;
+    border-color: #4c5759;
+    border-width: 1px;
+    color: #375a7f;
+    cursor: pointer;
+    justify-content: center;
+    padding-bottom: calc(0.375em - 1px);
+    padding-left: 0.75em;
+    padding-right: 0.75em;
+    padding-top: calc(0.375em - 1px);
+    text-align: center;
+    white-space: nowrap; }
+    html.theme--documenter-dark .button strong {
+      color: inherit; }
+    html.theme--documenter-dark .button .icon, html.theme--documenter-dark .button .icon.is-small, html.theme--documenter-dark .button #documenter .docs-sidebar form.docs-search > input.icon, html.theme--documenter-dark #documenter .docs-sidebar .button form.docs-search > input.icon, html.theme--documenter-dark .button .icon.is-medium, html.theme--documenter-dark .button .icon.is-large {
+      height: 1.5em;
+      width: 1.5em; }
+    html.theme--documenter-dark .button .icon:first-child:not(:last-child) {
+      margin-left: calc(-0.375em - 1px);
+      margin-right: 0.1875em; }
+    html.theme--documenter-dark .button .icon:last-child:not(:first-child) {
+      margin-left: 0.1875em;
+      margin-right: calc(-0.375em - 1px); }
+    html.theme--documenter-dark .button .icon:first-child:last-child {
+      margin-left: calc(-0.375em - 1px);
+      margin-right: calc(-0.375em - 1px); }
+    html.theme--documenter-dark .button:hover, html.theme--documenter-dark .button.is-hovered {
+      border-color: #8c9b9d;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .button:focus, html.theme--documenter-dark .button.is-focused {
+      border-color: #8c9b9d;
+      color: #17a689; }
+      html.theme--documenter-dark .button:focus:not(:active), html.theme--documenter-dark .button.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .button:active, html.theme--documenter-dark .button.is-active {
+      border-color: #343c3d;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .button.is-text {
+      background-color: transparent;
+      border-color: transparent;
+      color: #fff;
+      text-decoration: underline; }
+      html.theme--documenter-dark .button.is-text:hover, html.theme--documenter-dark .button.is-text.is-hovered, html.theme--documenter-dark .button.is-text:focus, html.theme--documenter-dark .button.is-text.is-focused {
+        background-color: #282f2f;
+        color: #f2f2f2; }
+      html.theme--documenter-dark .button.is-text:active, html.theme--documenter-dark .button.is-text.is-active {
+        background-color: #1d2122;
+        color: #f2f2f2; }
+      html.theme--documenter-dark .button.is-text[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-text {
+        background-color: transparent;
+        border-color: transparent;
+        box-shadow: none; }
+    html.theme--documenter-dark .button.is-white {
+      background-color: white;
+      border-color: transparent;
+      color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-white:hover, html.theme--documenter-dark .button.is-white.is-hovered {
+        background-color: #f9f9f9;
+        border-color: transparent;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-white:focus, html.theme--documenter-dark .button.is-white.is-focused {
+        border-color: transparent;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-white:focus:not(:active), html.theme--documenter-dark .button.is-white.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+      html.theme--documenter-dark .button.is-white:active, html.theme--documenter-dark .button.is-white.is-active {
+        background-color: #f2f2f2;
+        border-color: transparent;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-white[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white {
+        background-color: white;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-white.is-inverted {
+        background-color: #0a0a0a;
+        color: white; }
+        html.theme--documenter-dark .button.is-white.is-inverted:hover, html.theme--documenter-dark .button.is-white.is-inverted.is-hovered {
+          background-color: black; }
+        html.theme--documenter-dark .button.is-white.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted {
+          background-color: #0a0a0a;
+          border-color: transparent;
+          box-shadow: none;
+          color: white; }
+      html.theme--documenter-dark .button.is-white.is-loading::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      html.theme--documenter-dark .button.is-white.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        color: white; }
+        html.theme--documenter-dark .button.is-white.is-outlined:hover, html.theme--documenter-dark .button.is-white.is-outlined.is-hovered, html.theme--documenter-dark .button.is-white.is-outlined:focus, html.theme--documenter-dark .button.is-white.is-outlined.is-focused {
+          background-color: white;
+          border-color: white;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-white.is-outlined.is-loading::after {
+          border-color: transparent transparent white white !important; }
+        html.theme--documenter-dark .button.is-white.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+        html.theme--documenter-dark .button.is-white.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-outlined {
+          background-color: transparent;
+          border-color: white;
+          box-shadow: none;
+          color: white; }
+      html.theme--documenter-dark .button.is-white.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-focused {
+          background-color: #0a0a0a;
+          color: white; }
+        html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent white white !important; }
+        html.theme--documenter-dark .button.is-white.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #0a0a0a;
+          box-shadow: none;
+          color: #0a0a0a; }
+    html.theme--documenter-dark .button.is-black {
+      background-color: #0a0a0a;
+      border-color: transparent;
+      color: white; }
+      html.theme--documenter-dark .button.is-black:hover, html.theme--documenter-dark .button.is-black.is-hovered {
+        background-color: #040404;
+        border-color: transparent;
+        color: white; }
+      html.theme--documenter-dark .button.is-black:focus, html.theme--documenter-dark .button.is-black.is-focused {
+        border-color: transparent;
+        color: white; }
+        html.theme--documenter-dark .button.is-black:focus:not(:active), html.theme--documenter-dark .button.is-black.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+      html.theme--documenter-dark .button.is-black:active, html.theme--documenter-dark .button.is-black.is-active {
+        background-color: black;
+        border-color: transparent;
+        color: white; }
+      html.theme--documenter-dark .button.is-black[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black {
+        background-color: #0a0a0a;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-black.is-inverted {
+        background-color: white;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-black.is-inverted:hover, html.theme--documenter-dark .button.is-black.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-black.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted {
+          background-color: white;
+          border-color: transparent;
+          box-shadow: none;
+          color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-black.is-loading::after {
+        border-color: transparent transparent white white !important; }
+      html.theme--documenter-dark .button.is-black.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-black.is-outlined:hover, html.theme--documenter-dark .button.is-black.is-outlined.is-hovered, html.theme--documenter-dark .button.is-black.is-outlined:focus, html.theme--documenter-dark .button.is-black.is-outlined.is-focused {
+          background-color: #0a0a0a;
+          border-color: #0a0a0a;
+          color: white; }
+        html.theme--documenter-dark .button.is-black.is-outlined.is-loading::after {
+          border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+        html.theme--documenter-dark .button.is-black.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent white white !important; }
+        html.theme--documenter-dark .button.is-black.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-outlined {
+          background-color: transparent;
+          border-color: #0a0a0a;
+          box-shadow: none;
+          color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-black.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        color: white; }
+        html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-focused {
+          background-color: white;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+        html.theme--documenter-dark .button.is-black.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: white;
+          box-shadow: none;
+          color: white; }
+    html.theme--documenter-dark .button.is-light {
+      background-color: #ecf0f1;
+      border-color: transparent;
+      color: #282f2f; }
+      html.theme--documenter-dark .button.is-light:hover, html.theme--documenter-dark .button.is-light.is-hovered {
+        background-color: #e5eaec;
+        border-color: transparent;
+        color: #282f2f; }
+      html.theme--documenter-dark .button.is-light:focus, html.theme--documenter-dark .button.is-light.is-focused {
+        border-color: transparent;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-light:focus:not(:active), html.theme--documenter-dark .button.is-light.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); }
+      html.theme--documenter-dark .button.is-light:active, html.theme--documenter-dark .button.is-light.is-active {
+        background-color: #dde4e6;
+        border-color: transparent;
+        color: #282f2f; }
+      html.theme--documenter-dark .button.is-light[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light {
+        background-color: #ecf0f1;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-light.is-inverted {
+        background-color: #282f2f;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-light.is-inverted:hover, html.theme--documenter-dark .button.is-light.is-inverted.is-hovered {
+          background-color: #1d2122; }
+        html.theme--documenter-dark .button.is-light.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted {
+          background-color: #282f2f;
+          border-color: transparent;
+          box-shadow: none;
+          color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-light.is-loading::after {
+        border-color: transparent transparent #282f2f #282f2f !important; }
+      html.theme--documenter-dark .button.is-light.is-outlined {
+        background-color: transparent;
+        border-color: #ecf0f1;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-light.is-outlined:hover, html.theme--documenter-dark .button.is-light.is-outlined.is-hovered, html.theme--documenter-dark .button.is-light.is-outlined:focus, html.theme--documenter-dark .button.is-light.is-outlined.is-focused {
+          background-color: #ecf0f1;
+          border-color: #ecf0f1;
+          color: #282f2f; }
+        html.theme--documenter-dark .button.is-light.is-outlined.is-loading::after {
+          border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+        html.theme--documenter-dark .button.is-light.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #282f2f #282f2f !important; }
+        html.theme--documenter-dark .button.is-light.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-outlined {
+          background-color: transparent;
+          border-color: #ecf0f1;
+          box-shadow: none;
+          color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-light.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #282f2f;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused {
+          background-color: #282f2f;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+        html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #282f2f;
+          box-shadow: none;
+          color: #282f2f; }
+    html.theme--documenter-dark .button.is-dark, html.theme--documenter-dark .content kbd.button {
+      background-color: #282f2f;
+      border-color: transparent;
+      color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-dark:hover, html.theme--documenter-dark .content kbd.button:hover, html.theme--documenter-dark .button.is-dark.is-hovered, html.theme--documenter-dark .content kbd.button.is-hovered {
+        background-color: #232829;
+        border-color: transparent;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-dark:focus, html.theme--documenter-dark .content kbd.button:focus, html.theme--documenter-dark .button.is-dark.is-focused, html.theme--documenter-dark .content kbd.button.is-focused {
+        border-color: transparent;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-dark:focus:not(:active), html.theme--documenter-dark .content kbd.button:focus:not(:active), html.theme--documenter-dark .button.is-dark.is-focused:not(:active), html.theme--documenter-dark .content kbd.button.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); }
+      html.theme--documenter-dark .button.is-dark:active, html.theme--documenter-dark .content kbd.button:active, html.theme--documenter-dark .button.is-dark.is-active, html.theme--documenter-dark .content kbd.button.is-active {
+        background-color: #1d2122;
+        border-color: transparent;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-dark[disabled], html.theme--documenter-dark .content kbd.button[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark, fieldset[disabled] html.theme--documenter-dark .content kbd.button {
+        background-color: #282f2f;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-dark.is-inverted, html.theme--documenter-dark .content kbd.button.is-inverted {
+        background-color: #ecf0f1;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-dark.is-inverted:hover, html.theme--documenter-dark .content kbd.button.is-inverted:hover, html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered, html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered {
+          background-color: #dde4e6; }
+        html.theme--documenter-dark .button.is-dark.is-inverted[disabled], html.theme--documenter-dark .content kbd.button.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted {
+          background-color: #ecf0f1;
+          border-color: transparent;
+          box-shadow: none;
+          color: #282f2f; }
+      html.theme--documenter-dark .button.is-dark.is-loading::after, html.theme--documenter-dark .content kbd.button.is-loading::after {
+        border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+      html.theme--documenter-dark .button.is-dark.is-outlined, html.theme--documenter-dark .content kbd.button.is-outlined {
+        background-color: transparent;
+        border-color: #282f2f;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-dark.is-outlined:hover, html.theme--documenter-dark .content kbd.button.is-outlined:hover, html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered, html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered, html.theme--documenter-dark .button.is-dark.is-outlined:focus, html.theme--documenter-dark .content kbd.button.is-outlined:focus, html.theme--documenter-dark .button.is-dark.is-outlined.is-focused, html.theme--documenter-dark .content kbd.button.is-outlined.is-focused {
+          background-color: #282f2f;
+          border-color: #282f2f;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after {
+          border-color: transparent transparent #282f2f #282f2f !important; }
+        html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+        html.theme--documenter-dark .button.is-dark.is-outlined[disabled], html.theme--documenter-dark .content kbd.button.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined {
+          background-color: transparent;
+          border-color: #282f2f;
+          box-shadow: none;
+          color: #282f2f; }
+      html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #ecf0f1;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused {
+          background-color: #ecf0f1;
+          color: #282f2f; }
+        html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #282f2f #282f2f !important; }
+        html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled], html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #ecf0f1;
+          box-shadow: none;
+          color: #ecf0f1; }
+    html.theme--documenter-dark .button.is-primary, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink {
+      background-color: #375a7f;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-primary:hover, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-hovered.docs-sourcelink {
+        background-color: #335476;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-primary:focus, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-primary:focus:not(:active), html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus:not(:active), html.theme--documenter-dark .button.is-primary.is-focused:not(:active), html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); }
+      html.theme--documenter-dark .button.is-primary:active, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:active, html.theme--documenter-dark .button.is-primary.is-active, html.theme--documenter-dark .docstring > section > a.button.is-active.docs-sourcelink {
+        background-color: #2f4d6d;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-primary[disabled], html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink {
+        background-color: #375a7f;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-primary.is-inverted, html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink {
+        background-color: #fff;
+        color: #375a7f; }
+        html.theme--documenter-dark .button.is-primary.is-inverted:hover, html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-inverted.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-hovered.docs-sourcelink {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-primary.is-inverted[disabled], html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #375a7f; }
+      html.theme--documenter-dark .button.is-primary.is-loading::after, html.theme--documenter-dark .docstring > section > a.button.is-loading.docs-sourcelink::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-primary.is-outlined, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #375a7f;
+        color: #375a7f; }
+        html.theme--documenter-dark .button.is-primary.is-outlined:hover, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-outlined.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-outlined:focus, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-outlined.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-focused.docs-sourcelink {
+          background-color: #375a7f;
+          border-color: #375a7f;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-primary.is-outlined.is-loading::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink::after {
+          border-color: transparent transparent #375a7f #375a7f !important; }
+        html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:hover::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:hover::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:focus::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:focus::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-primary.is-outlined[disabled], html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-outlined, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink {
+          background-color: transparent;
+          border-color: #375a7f;
+          box-shadow: none;
+          color: #375a7f; }
+      html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined:hover, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined:focus, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-focused.docs-sourcelink {
+          background-color: #fff;
+          color: #375a7f; }
+        html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+          border-color: transparent transparent #375a7f #375a7f !important; }
+        html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined[disabled], html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-link {
+      background-color: #1abc9c;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-link:hover, html.theme--documenter-dark .button.is-link.is-hovered {
+        background-color: #18b193;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-link:focus, html.theme--documenter-dark .button.is-link.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-link:focus:not(:active), html.theme--documenter-dark .button.is-link.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+      html.theme--documenter-dark .button.is-link:active, html.theme--documenter-dark .button.is-link.is-active {
+        background-color: #17a689;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-link[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link {
+        background-color: #1abc9c;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-link.is-inverted {
+        background-color: #fff;
+        color: #1abc9c; }
+        html.theme--documenter-dark .button.is-link.is-inverted:hover, html.theme--documenter-dark .button.is-link.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-link.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #1abc9c; }
+      html.theme--documenter-dark .button.is-link.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-link.is-outlined {
+        background-color: transparent;
+        border-color: #1abc9c;
+        color: #1abc9c; }
+        html.theme--documenter-dark .button.is-link.is-outlined:hover, html.theme--documenter-dark .button.is-link.is-outlined.is-hovered, html.theme--documenter-dark .button.is-link.is-outlined:focus, html.theme--documenter-dark .button.is-link.is-outlined.is-focused {
+          background-color: #1abc9c;
+          border-color: #1abc9c;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-link.is-outlined.is-loading::after {
+          border-color: transparent transparent #1abc9c #1abc9c !important; }
+        html.theme--documenter-dark .button.is-link.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-link.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-outlined {
+          background-color: transparent;
+          border-color: #1abc9c;
+          box-shadow: none;
+          color: #1abc9c; }
+      html.theme--documenter-dark .button.is-link.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #1abc9c; }
+        html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #1abc9c #1abc9c !important; }
+        html.theme--documenter-dark .button.is-link.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-info {
+      background-color: #024c7d;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-info:hover, html.theme--documenter-dark .button.is-info.is-hovered {
+        background-color: #024470;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-info:focus, html.theme--documenter-dark .button.is-info.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-info:focus:not(:active), html.theme--documenter-dark .button.is-info.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); }
+      html.theme--documenter-dark .button.is-info:active, html.theme--documenter-dark .button.is-info.is-active {
+        background-color: #023d64;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-info[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info {
+        background-color: #024c7d;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-info.is-inverted {
+        background-color: #fff;
+        color: #024c7d; }
+        html.theme--documenter-dark .button.is-info.is-inverted:hover, html.theme--documenter-dark .button.is-info.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-info.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #024c7d; }
+      html.theme--documenter-dark .button.is-info.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-info.is-outlined {
+        background-color: transparent;
+        border-color: #024c7d;
+        color: #024c7d; }
+        html.theme--documenter-dark .button.is-info.is-outlined:hover, html.theme--documenter-dark .button.is-info.is-outlined.is-hovered, html.theme--documenter-dark .button.is-info.is-outlined:focus, html.theme--documenter-dark .button.is-info.is-outlined.is-focused {
+          background-color: #024c7d;
+          border-color: #024c7d;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-info.is-outlined.is-loading::after {
+          border-color: transparent transparent #024c7d #024c7d !important; }
+        html.theme--documenter-dark .button.is-info.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-info.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-outlined {
+          background-color: transparent;
+          border-color: #024c7d;
+          box-shadow: none;
+          color: #024c7d; }
+      html.theme--documenter-dark .button.is-info.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #024c7d; }
+        html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #024c7d #024c7d !important; }
+        html.theme--documenter-dark .button.is-info.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-success {
+      background-color: #008438;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-success:hover, html.theme--documenter-dark .button.is-success.is-hovered {
+        background-color: #007733;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-success:focus, html.theme--documenter-dark .button.is-success.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-success:focus:not(:active), html.theme--documenter-dark .button.is-success.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); }
+      html.theme--documenter-dark .button.is-success:active, html.theme--documenter-dark .button.is-success.is-active {
+        background-color: #006b2d;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-success[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success {
+        background-color: #008438;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-success.is-inverted {
+        background-color: #fff;
+        color: #008438; }
+        html.theme--documenter-dark .button.is-success.is-inverted:hover, html.theme--documenter-dark .button.is-success.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-success.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #008438; }
+      html.theme--documenter-dark .button.is-success.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-success.is-outlined {
+        background-color: transparent;
+        border-color: #008438;
+        color: #008438; }
+        html.theme--documenter-dark .button.is-success.is-outlined:hover, html.theme--documenter-dark .button.is-success.is-outlined.is-hovered, html.theme--documenter-dark .button.is-success.is-outlined:focus, html.theme--documenter-dark .button.is-success.is-outlined.is-focused {
+          background-color: #008438;
+          border-color: #008438;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-success.is-outlined.is-loading::after {
+          border-color: transparent transparent #008438 #008438 !important; }
+        html.theme--documenter-dark .button.is-success.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-success.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-outlined {
+          background-color: transparent;
+          border-color: #008438;
+          box-shadow: none;
+          color: #008438; }
+      html.theme--documenter-dark .button.is-success.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #008438; }
+        html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #008438 #008438 !important; }
+        html.theme--documenter-dark .button.is-success.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-warning {
+      background-color: #ad8100;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-warning:hover, html.theme--documenter-dark .button.is-warning.is-hovered {
+        background-color: #a07700;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-warning:focus, html.theme--documenter-dark .button.is-warning.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-warning:focus:not(:active), html.theme--documenter-dark .button.is-warning.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); }
+      html.theme--documenter-dark .button.is-warning:active, html.theme--documenter-dark .button.is-warning.is-active {
+        background-color: #946e00;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-warning[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning {
+        background-color: #ad8100;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-warning.is-inverted {
+        background-color: #fff;
+        color: #ad8100; }
+        html.theme--documenter-dark .button.is-warning.is-inverted:hover, html.theme--documenter-dark .button.is-warning.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-warning.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #ad8100; }
+      html.theme--documenter-dark .button.is-warning.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-warning.is-outlined {
+        background-color: transparent;
+        border-color: #ad8100;
+        color: #ad8100; }
+        html.theme--documenter-dark .button.is-warning.is-outlined:hover, html.theme--documenter-dark .button.is-warning.is-outlined.is-hovered, html.theme--documenter-dark .button.is-warning.is-outlined:focus, html.theme--documenter-dark .button.is-warning.is-outlined.is-focused {
+          background-color: #ad8100;
+          border-color: #ad8100;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-warning.is-outlined.is-loading::after {
+          border-color: transparent transparent #ad8100 #ad8100 !important; }
+        html.theme--documenter-dark .button.is-warning.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-warning.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-outlined {
+          background-color: transparent;
+          border-color: #ad8100;
+          box-shadow: none;
+          color: #ad8100; }
+      html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #ad8100; }
+        html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #ad8100 #ad8100 !important; }
+        html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-danger {
+      background-color: #9e1b0d;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-danger:hover, html.theme--documenter-dark .button.is-danger.is-hovered {
+        background-color: #92190c;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-danger:focus, html.theme--documenter-dark .button.is-danger.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-danger:focus:not(:active), html.theme--documenter-dark .button.is-danger.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); }
+      html.theme--documenter-dark .button.is-danger:active, html.theme--documenter-dark .button.is-danger.is-active {
+        background-color: #86170b;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-danger[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger {
+        background-color: #9e1b0d;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-danger.is-inverted {
+        background-color: #fff;
+        color: #9e1b0d; }
+        html.theme--documenter-dark .button.is-danger.is-inverted:hover, html.theme--documenter-dark .button.is-danger.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-danger.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #9e1b0d; }
+      html.theme--documenter-dark .button.is-danger.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-danger.is-outlined {
+        background-color: transparent;
+        border-color: #9e1b0d;
+        color: #9e1b0d; }
+        html.theme--documenter-dark .button.is-danger.is-outlined:hover, html.theme--documenter-dark .button.is-danger.is-outlined.is-hovered, html.theme--documenter-dark .button.is-danger.is-outlined:focus, html.theme--documenter-dark .button.is-danger.is-outlined.is-focused {
+          background-color: #9e1b0d;
+          border-color: #9e1b0d;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-danger.is-outlined.is-loading::after {
+          border-color: transparent transparent #9e1b0d #9e1b0d !important; }
+        html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-danger.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-outlined {
+          background-color: transparent;
+          border-color: #9e1b0d;
+          box-shadow: none;
+          color: #9e1b0d; }
+      html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #9e1b0d; }
+        html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #9e1b0d #9e1b0d !important; }
+        html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.button {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .button.is-normal {
+      font-size: 15px; }
+    html.theme--documenter-dark .button.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .button.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .button[disabled], fieldset[disabled] html.theme--documenter-dark .button {
+      background-color: #8c9b9d;
+      border-color: #dbdee0;
+      box-shadow: none;
+      opacity: 0.5; }
+    html.theme--documenter-dark .button.is-fullwidth {
+      display: flex;
+      width: 100%; }
+    html.theme--documenter-dark .button.is-loading {
+      color: transparent !important;
+      pointer-events: none; }
+      html.theme--documenter-dark .button.is-loading::after {
+        position: absolute;
+        left: calc(50% - (1em / 2));
+        top: calc(50% - (1em / 2));
+        position: absolute !important; }
+    html.theme--documenter-dark .button.is-static {
+      background-color: #282f2f;
+      border-color: #5e6d6f;
+      color: #dbdee0;
+      box-shadow: none;
+      pointer-events: none; }
+    html.theme--documenter-dark .button.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.button {
+      border-radius: 290486px;
+      padding-left: 1em;
+      padding-right: 1em; }
+  html.theme--documenter-dark .buttons {
+    align-items: center;
+    display: flex;
+    flex-wrap: wrap;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .buttons .button {
+      margin-bottom: 0.5rem; }
+      html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth) {
+        margin-right: 0.5rem; }
+    html.theme--documenter-dark .buttons:last-child {
+      margin-bottom: -0.5rem; }
+    html.theme--documenter-dark .buttons:not(:last-child) {
+      margin-bottom: 1rem; }
+    html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large) {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large) {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium) {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .buttons.has-addons .button:not(:first-child) {
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    html.theme--documenter-dark .buttons.has-addons .button:not(:last-child) {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0;
+      margin-right: -1px; }
+    html.theme--documenter-dark .buttons.has-addons .button:last-child {
+      margin-right: 0; }
+    html.theme--documenter-dark .buttons.has-addons .button:hover, html.theme--documenter-dark .buttons.has-addons .button.is-hovered {
+      z-index: 2; }
+    html.theme--documenter-dark .buttons.has-addons .button:focus, html.theme--documenter-dark .buttons.has-addons .button.is-focused, html.theme--documenter-dark .buttons.has-addons .button:active, html.theme--documenter-dark .buttons.has-addons .button.is-active, html.theme--documenter-dark .buttons.has-addons .button.is-selected {
+      z-index: 3; }
+      html.theme--documenter-dark .buttons.has-addons .button:focus:hover, html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover, html.theme--documenter-dark .buttons.has-addons .button:active:hover, html.theme--documenter-dark .buttons.has-addons .button.is-active:hover, html.theme--documenter-dark .buttons.has-addons .button.is-selected:hover {
+        z-index: 4; }
+    html.theme--documenter-dark .buttons.has-addons .button.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .buttons.is-centered {
+      justify-content: center; }
+      html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth) {
+        margin-left: 0.25rem;
+        margin-right: 0.25rem; }
+    html.theme--documenter-dark .buttons.is-right {
+      justify-content: flex-end; }
+      html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth) {
+        margin-left: 0.25rem;
+        margin-right: 0.25rem; }
+  html.theme--documenter-dark .container {
+    flex-grow: 1;
+    margin: 0 auto;
+    position: relative;
+    width: auto; }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .container {
+        max-width: 992px; }
+        html.theme--documenter-dark .container.is-fluid {
+          margin-left: 32px;
+          margin-right: 32px;
+          max-width: none; } }
+    @media screen and (max-width: 1215px) {
+      html.theme--documenter-dark .container.is-widescreen {
+        max-width: 1152px; } }
+    @media screen and (max-width: 1407px) {
+      html.theme--documenter-dark .container.is-fullhd {
+        max-width: 1344px; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .container {
+        max-width: 1152px; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .container {
+        max-width: 1344px; } }
+  html.theme--documenter-dark .content li + li {
+    margin-top: 0.25em; }
+  html.theme--documenter-dark .content p:not(:last-child),
+  html.theme--documenter-dark .content dl:not(:last-child),
+  html.theme--documenter-dark .content ol:not(:last-child),
+  html.theme--documenter-dark .content ul:not(:last-child),
+  html.theme--documenter-dark .content blockquote:not(:last-child),
+  html.theme--documenter-dark .content pre:not(:last-child),
+  html.theme--documenter-dark .content table:not(:last-child) {
+    margin-bottom: 1em; }
+  html.theme--documenter-dark .content h1,
+  html.theme--documenter-dark .content h2,
+  html.theme--documenter-dark .content h3,
+  html.theme--documenter-dark .content h4,
+  html.theme--documenter-dark .content h5,
+  html.theme--documenter-dark .content h6 {
+    color: #f2f2f2;
+    font-weight: 600;
+    line-height: 1.125; }
+  html.theme--documenter-dark .content h1 {
+    font-size: 2em;
+    margin-bottom: 0.5em; }
+    html.theme--documenter-dark .content h1:not(:first-child) {
+      margin-top: 1em; }
+  html.theme--documenter-dark .content h2 {
+    font-size: 1.75em;
+    margin-bottom: 0.5714em; }
+    html.theme--documenter-dark .content h2:not(:first-child) {
+      margin-top: 1.1428em; }
+  html.theme--documenter-dark .content h3 {
+    font-size: 1.5em;
+    margin-bottom: 0.6666em; }
+    html.theme--documenter-dark .content h3:not(:first-child) {
+      margin-top: 1.3333em; }
+  html.theme--documenter-dark .content h4 {
+    font-size: 1.25em;
+    margin-bottom: 0.8em; }
+  html.theme--documenter-dark .content h5 {
+    font-size: 1.125em;
+    margin-bottom: 0.8888em; }
+  html.theme--documenter-dark .content h6 {
+    font-size: 1em;
+    margin-bottom: 1em; }
+  html.theme--documenter-dark .content blockquote {
+    background-color: #282f2f;
+    border-left: 5px solid #5e6d6f;
+    padding: 1.25em 1.5em; }
+  html.theme--documenter-dark .content ol {
+    list-style-position: outside;
+    margin-left: 2em;
+    margin-top: 1em; }
+    html.theme--documenter-dark .content ol:not([type]) {
+      list-style-type: decimal; }
+      html.theme--documenter-dark .content ol.is-lower-alpha:not([type]) {
+        list-style-type: lower-alpha; }
+      html.theme--documenter-dark .content ol.is-lower-roman:not([type]) {
+        list-style-type: lower-roman; }
+      html.theme--documenter-dark .content ol.is-upper-alpha:not([type]) {
+        list-style-type: upper-alpha; }
+      html.theme--documenter-dark .content ol.is-upper-roman:not([type]) {
+        list-style-type: upper-roman; }
+  html.theme--documenter-dark .content ul {
+    list-style: disc outside;
+    margin-left: 2em;
+    margin-top: 1em; }
+    html.theme--documenter-dark .content ul ul {
+      list-style-type: circle;
+      margin-top: 0.5em; }
+      html.theme--documenter-dark .content ul ul ul {
+        list-style-type: square; }
+  html.theme--documenter-dark .content dd {
+    margin-left: 2em; }
+  html.theme--documenter-dark .content figure {
+    margin-left: 2em;
+    margin-right: 2em;
+    text-align: center; }
+    html.theme--documenter-dark .content figure:not(:first-child) {
+      margin-top: 2em; }
+    html.theme--documenter-dark .content figure:not(:last-child) {
+      margin-bottom: 2em; }
+    html.theme--documenter-dark .content figure img {
+      display: inline-block; }
+    html.theme--documenter-dark .content figure figcaption {
+      font-style: italic; }
+  html.theme--documenter-dark .content pre {
+    -webkit-overflow-scrolling: touch;
+    overflow-x: auto;
+    padding: 0;
+    white-space: pre;
+    word-wrap: normal; }
+  html.theme--documenter-dark .content sup,
+  html.theme--documenter-dark .content sub {
+    font-size: 75%; }
+  html.theme--documenter-dark .content table {
+    width: 100%; }
+    html.theme--documenter-dark .content table td,
+    html.theme--documenter-dark .content table th {
+      border: 1px solid #5e6d6f;
+      border-width: 0 0 1px;
+      padding: 0.5em 0.75em;
+      vertical-align: top; }
+    html.theme--documenter-dark .content table th {
+      color: #f2f2f2; }
+      html.theme--documenter-dark .content table th:not([align]) {
+        text-align: left; }
+    html.theme--documenter-dark .content table thead td,
+    html.theme--documenter-dark .content table thead th {
+      border-width: 0 0 2px;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .content table tfoot td,
+    html.theme--documenter-dark .content table tfoot th {
+      border-width: 2px 0 0;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .content table tbody tr:last-child td,
+    html.theme--documenter-dark .content table tbody tr:last-child th {
+      border-bottom-width: 0; }
+  html.theme--documenter-dark .content .tabs li + li {
+    margin-top: 0; }
+  html.theme--documenter-dark .content.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.content {
+    font-size: 0.85em; }
+  html.theme--documenter-dark .content.is-medium {
+    font-size: 1.25rem; }
+  html.theme--documenter-dark .content.is-large {
+    font-size: 1.5rem; }
+  html.theme--documenter-dark .icon {
+    align-items: center;
+    display: inline-flex;
+    justify-content: center;
+    height: 1.5rem;
+    width: 1.5rem; }
+    html.theme--documenter-dark .icon.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.icon {
+      height: 1rem;
+      width: 1rem; }
+    html.theme--documenter-dark .icon.is-medium {
+      height: 2rem;
+      width: 2rem; }
+    html.theme--documenter-dark .icon.is-large {
+      height: 3rem;
+      width: 3rem; }
+  html.theme--documenter-dark .image, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img {
+    display: block;
+    position: relative; }
+    html.theme--documenter-dark .image img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img img {
+      display: block;
+      height: auto;
+      width: 100%; }
+      html.theme--documenter-dark .image img.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img img.is-rounded {
+        border-radius: 290486px; }
+    html.theme--documenter-dark .image.is-square img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square img,
+    html.theme--documenter-dark .image.is-square .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, html.theme--documenter-dark .image.is-1by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+    html.theme--documenter-dark .image.is-1by1 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, html.theme--documenter-dark .image.is-5by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+    html.theme--documenter-dark .image.is-5by4 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, html.theme--documenter-dark .image.is-4by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+    html.theme--documenter-dark .image.is-4by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, html.theme--documenter-dark .image.is-3by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+    html.theme--documenter-dark .image.is-3by2 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, html.theme--documenter-dark .image.is-5by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+    html.theme--documenter-dark .image.is-5by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, html.theme--documenter-dark .image.is-16by9 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+    html.theme--documenter-dark .image.is-16by9 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, html.theme--documenter-dark .image.is-2by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+    html.theme--documenter-dark .image.is-2by1 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, html.theme--documenter-dark .image.is-3by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+    html.theme--documenter-dark .image.is-3by1 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, html.theme--documenter-dark .image.is-4by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+    html.theme--documenter-dark .image.is-4by5 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, html.theme--documenter-dark .image.is-3by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+    html.theme--documenter-dark .image.is-3by4 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, html.theme--documenter-dark .image.is-2by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+    html.theme--documenter-dark .image.is-2by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, html.theme--documenter-dark .image.is-3by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+    html.theme--documenter-dark .image.is-3by5 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, html.theme--documenter-dark .image.is-9by16 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+    html.theme--documenter-dark .image.is-9by16 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, html.theme--documenter-dark .image.is-1by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+    html.theme--documenter-dark .image.is-1by2 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, html.theme--documenter-dark .image.is-1by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+    html.theme--documenter-dark .image.is-1by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio {
+      height: 100%;
+      width: 100%; }
+    html.theme--documenter-dark .image.is-square, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square, html.theme--documenter-dark .image.is-1by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 {
+      padding-top: 100%; }
+    html.theme--documenter-dark .image.is-5by4, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 {
+      padding-top: 80%; }
+    html.theme--documenter-dark .image.is-4by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 {
+      padding-top: 75%; }
+    html.theme--documenter-dark .image.is-3by2, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 {
+      padding-top: 66.6666%; }
+    html.theme--documenter-dark .image.is-5by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 {
+      padding-top: 60%; }
+    html.theme--documenter-dark .image.is-16by9, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 {
+      padding-top: 56.25%; }
+    html.theme--documenter-dark .image.is-2by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 {
+      padding-top: 50%; }
+    html.theme--documenter-dark .image.is-3by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 {
+      padding-top: 33.3333%; }
+    html.theme--documenter-dark .image.is-4by5, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 {
+      padding-top: 125%; }
+    html.theme--documenter-dark .image.is-3by4, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 {
+      padding-top: 133.3333%; }
+    html.theme--documenter-dark .image.is-2by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 {
+      padding-top: 150%; }
+    html.theme--documenter-dark .image.is-3by5, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 {
+      padding-top: 166.6666%; }
+    html.theme--documenter-dark .image.is-9by16, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 {
+      padding-top: 177.7777%; }
+    html.theme--documenter-dark .image.is-1by2, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 {
+      padding-top: 200%; }
+    html.theme--documenter-dark .image.is-1by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 {
+      padding-top: 300%; }
+    html.theme--documenter-dark .image.is-16x16, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16x16 {
+      height: 16px;
+      width: 16px; }
+    html.theme--documenter-dark .image.is-24x24, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-24x24 {
+      height: 24px;
+      width: 24px; }
+    html.theme--documenter-dark .image.is-32x32, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-32x32 {
+      height: 32px;
+      width: 32px; }
+    html.theme--documenter-dark .image.is-48x48, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-48x48 {
+      height: 48px;
+      width: 48px; }
+    html.theme--documenter-dark .image.is-64x64, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-64x64 {
+      height: 64px;
+      width: 64px; }
+    html.theme--documenter-dark .image.is-96x96, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-96x96 {
+      height: 96px;
+      width: 96px; }
+    html.theme--documenter-dark .image.is-128x128, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-128x128 {
+      height: 128px;
+      width: 128px; }
+  html.theme--documenter-dark .notification {
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    padding: 1.25rem 2.5rem 1.25rem 1.5rem;
+    position: relative; }
+    html.theme--documenter-dark .notification a:not(.button):not(.dropdown-item) {
+      color: currentColor;
+      text-decoration: underline; }
+    html.theme--documenter-dark .notification strong {
+      color: currentColor; }
+    html.theme--documenter-dark .notification code,
+    html.theme--documenter-dark .notification pre {
+      background: white; }
+    html.theme--documenter-dark .notification pre code {
+      background: transparent; }
+    html.theme--documenter-dark .notification > .delete {
+      position: absolute;
+      right: 0.5rem;
+      top: 0.5rem; }
+    html.theme--documenter-dark .notification .title,
+    html.theme--documenter-dark .notification .subtitle,
+    html.theme--documenter-dark .notification .content {
+      color: currentColor; }
+    html.theme--documenter-dark .notification.is-white {
+      background-color: white;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .notification.is-black {
+      background-color: #0a0a0a;
+      color: white; }
+    html.theme--documenter-dark .notification.is-light {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+    html.theme--documenter-dark .notification.is-dark, html.theme--documenter-dark .content kbd.notification {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .notification.is-primary, html.theme--documenter-dark .docstring > section > a.notification.docs-sourcelink {
+      background-color: #375a7f;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-link {
+      background-color: #1abc9c;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-info {
+      background-color: #024c7d;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-success {
+      background-color: #008438;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-warning {
+      background-color: #ad8100;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-danger {
+      background-color: #9e1b0d;
+      color: #fff; }
+  html.theme--documenter-dark .progress {
+    -moz-appearance: none;
+    -webkit-appearance: none;
+    border: none;
+    border-radius: 290486px;
+    display: block;
+    height: 15px;
+    overflow: hidden;
+    padding: 0;
+    width: 100%; }
+    html.theme--documenter-dark .progress::-webkit-progress-bar {
+      background-color: #5e6d6f; }
+    html.theme--documenter-dark .progress::-webkit-progress-value {
+      background-color: #dbdee0; }
+    html.theme--documenter-dark .progress::-moz-progress-bar {
+      background-color: #dbdee0; }
+    html.theme--documenter-dark .progress::-ms-fill {
+      background-color: #dbdee0;
+      border: none; }
+    html.theme--documenter-dark .progress.is-white::-webkit-progress-value {
+      background-color: white; }
+    html.theme--documenter-dark .progress.is-white::-moz-progress-bar {
+      background-color: white; }
+    html.theme--documenter-dark .progress.is-white::-ms-fill {
+      background-color: white; }
+    html.theme--documenter-dark .progress.is-white:indeterminate {
+      background-image: linear-gradient(to right, white 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-black::-webkit-progress-value {
+      background-color: #0a0a0a; }
+    html.theme--documenter-dark .progress.is-black::-moz-progress-bar {
+      background-color: #0a0a0a; }
+    html.theme--documenter-dark .progress.is-black::-ms-fill {
+      background-color: #0a0a0a; }
+    html.theme--documenter-dark .progress.is-black:indeterminate {
+      background-image: linear-gradient(to right, #0a0a0a 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-light::-webkit-progress-value {
+      background-color: #ecf0f1; }
+    html.theme--documenter-dark .progress.is-light::-moz-progress-bar {
+      background-color: #ecf0f1; }
+    html.theme--documenter-dark .progress.is-light::-ms-fill {
+      background-color: #ecf0f1; }
+    html.theme--documenter-dark .progress.is-light:indeterminate {
+      background-image: linear-gradient(to right, #ecf0f1 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-dark::-webkit-progress-value, html.theme--documenter-dark .content kbd.progress::-webkit-progress-value {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .progress.is-dark::-moz-progress-bar, html.theme--documenter-dark .content kbd.progress::-moz-progress-bar {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .progress.is-dark::-ms-fill, html.theme--documenter-dark .content kbd.progress::-ms-fill {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .progress.is-dark:indeterminate, html.theme--documenter-dark .content kbd.progress:indeterminate {
+      background-image: linear-gradient(to right, #282f2f 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-primary::-webkit-progress-value, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-webkit-progress-value {
+      background-color: #375a7f; }
+    html.theme--documenter-dark .progress.is-primary::-moz-progress-bar, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-moz-progress-bar {
+      background-color: #375a7f; }
+    html.theme--documenter-dark .progress.is-primary::-ms-fill, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-ms-fill {
+      background-color: #375a7f; }
+    html.theme--documenter-dark .progress.is-primary:indeterminate, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink:indeterminate {
+      background-image: linear-gradient(to right, #375a7f 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-link::-webkit-progress-value {
+      background-color: #1abc9c; }
+    html.theme--documenter-dark .progress.is-link::-moz-progress-bar {
+      background-color: #1abc9c; }
+    html.theme--documenter-dark .progress.is-link::-ms-fill {
+      background-color: #1abc9c; }
+    html.theme--documenter-dark .progress.is-link:indeterminate {
+      background-image: linear-gradient(to right, #1abc9c 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-info::-webkit-progress-value {
+      background-color: #024c7d; }
+    html.theme--documenter-dark .progress.is-info::-moz-progress-bar {
+      background-color: #024c7d; }
+    html.theme--documenter-dark .progress.is-info::-ms-fill {
+      background-color: #024c7d; }
+    html.theme--documenter-dark .progress.is-info:indeterminate {
+      background-image: linear-gradient(to right, #024c7d 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-success::-webkit-progress-value {
+      background-color: #008438; }
+    html.theme--documenter-dark .progress.is-success::-moz-progress-bar {
+      background-color: #008438; }
+    html.theme--documenter-dark .progress.is-success::-ms-fill {
+      background-color: #008438; }
+    html.theme--documenter-dark .progress.is-success:indeterminate {
+      background-image: linear-gradient(to right, #008438 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-warning::-webkit-progress-value {
+      background-color: #ad8100; }
+    html.theme--documenter-dark .progress.is-warning::-moz-progress-bar {
+      background-color: #ad8100; }
+    html.theme--documenter-dark .progress.is-warning::-ms-fill {
+      background-color: #ad8100; }
+    html.theme--documenter-dark .progress.is-warning:indeterminate {
+      background-image: linear-gradient(to right, #ad8100 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-danger::-webkit-progress-value {
+      background-color: #9e1b0d; }
+    html.theme--documenter-dark .progress.is-danger::-moz-progress-bar {
+      background-color: #9e1b0d; }
+    html.theme--documenter-dark .progress.is-danger::-ms-fill {
+      background-color: #9e1b0d; }
+    html.theme--documenter-dark .progress.is-danger:indeterminate {
+      background-image: linear-gradient(to right, #9e1b0d 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress:indeterminate {
+      animation-duration: 1.5s;
+      animation-iteration-count: infinite;
+      animation-name: moveIndeterminate;
+      animation-timing-function: linear;
+      background-color: #5e6d6f;
+      background-image: linear-gradient(to right, #fff 30%, #5e6d6f 30%);
+      background-position: top left;
+      background-repeat: no-repeat;
+      background-size: 150% 150%; }
+      html.theme--documenter-dark .progress:indeterminate::-webkit-progress-bar {
+        background-color: transparent; }
+      html.theme--documenter-dark .progress:indeterminate::-moz-progress-bar {
+        background-color: transparent; }
+    html.theme--documenter-dark .progress.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.progress {
+      height: 0.85em; }
+    html.theme--documenter-dark .progress.is-medium {
+      height: 1.25rem; }
+    html.theme--documenter-dark .progress.is-large {
+      height: 1.5rem; }
+
+@keyframes moveIndeterminate {
+  from {
+    background-position: 200% 0; }
+  to {
+    background-position: -200% 0; } }
+  html.theme--documenter-dark .table {
+    background-color: #343c3d;
+    color: #fff; }
+    html.theme--documenter-dark .table td,
+    html.theme--documenter-dark .table th {
+      border: 1px solid #5e6d6f;
+      border-width: 0 0 1px;
+      padding: 0.5em 0.75em;
+      vertical-align: top; }
+      html.theme--documenter-dark .table td.is-white,
+      html.theme--documenter-dark .table th.is-white {
+        background-color: white;
+        border-color: white;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .table td.is-black,
+      html.theme--documenter-dark .table th.is-black {
+        background-color: #0a0a0a;
+        border-color: #0a0a0a;
+        color: white; }
+      html.theme--documenter-dark .table td.is-light,
+      html.theme--documenter-dark .table th.is-light {
+        background-color: #ecf0f1;
+        border-color: #ecf0f1;
+        color: #282f2f; }
+      html.theme--documenter-dark .table td.is-dark,
+      html.theme--documenter-dark .table th.is-dark {
+        background-color: #282f2f;
+        border-color: #282f2f;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .table td.is-primary,
+      html.theme--documenter-dark .table th.is-primary {
+        background-color: #375a7f;
+        border-color: #375a7f;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-link,
+      html.theme--documenter-dark .table th.is-link {
+        background-color: #1abc9c;
+        border-color: #1abc9c;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-info,
+      html.theme--documenter-dark .table th.is-info {
+        background-color: #024c7d;
+        border-color: #024c7d;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-success,
+      html.theme--documenter-dark .table th.is-success {
+        background-color: #008438;
+        border-color: #008438;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-warning,
+      html.theme--documenter-dark .table th.is-warning {
+        background-color: #ad8100;
+        border-color: #ad8100;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-danger,
+      html.theme--documenter-dark .table th.is-danger {
+        background-color: #9e1b0d;
+        border-color: #9e1b0d;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-narrow,
+      html.theme--documenter-dark .table th.is-narrow {
+        white-space: nowrap;
+        width: 1%; }
+      html.theme--documenter-dark .table td.is-selected,
+      html.theme--documenter-dark .table th.is-selected {
+        background-color: #375a7f;
+        color: #fff; }
+        html.theme--documenter-dark .table td.is-selected a,
+        html.theme--documenter-dark .table td.is-selected strong,
+        html.theme--documenter-dark .table th.is-selected a,
+        html.theme--documenter-dark .table th.is-selected strong {
+          color: currentColor; }
+    html.theme--documenter-dark .table th {
+      color: #f2f2f2; }
+      html.theme--documenter-dark .table th:not([align]) {
+        text-align: left; }
+    html.theme--documenter-dark .table tr.is-selected {
+      background-color: #375a7f;
+      color: #fff; }
+      html.theme--documenter-dark .table tr.is-selected a,
+      html.theme--documenter-dark .table tr.is-selected strong {
+        color: currentColor; }
+      html.theme--documenter-dark .table tr.is-selected td,
+      html.theme--documenter-dark .table tr.is-selected th {
+        border-color: #fff;
+        color: currentColor; }
+    html.theme--documenter-dark .table thead {
+      background-color: transparent; }
+      html.theme--documenter-dark .table thead td,
+      html.theme--documenter-dark .table thead th {
+        border-width: 0 0 2px;
+        color: #f2f2f2; }
+    html.theme--documenter-dark .table tfoot {
+      background-color: transparent; }
+      html.theme--documenter-dark .table tfoot td,
+      html.theme--documenter-dark .table tfoot th {
+        border-width: 2px 0 0;
+        color: #f2f2f2; }
+    html.theme--documenter-dark .table tbody {
+      background-color: transparent; }
+      html.theme--documenter-dark .table tbody tr:last-child td,
+      html.theme--documenter-dark .table tbody tr:last-child th {
+        border-bottom-width: 0; }
+    html.theme--documenter-dark .table.is-bordered td,
+    html.theme--documenter-dark .table.is-bordered th {
+      border-width: 1px; }
+    html.theme--documenter-dark .table.is-bordered tr:last-child td,
+    html.theme--documenter-dark .table.is-bordered tr:last-child th {
+      border-bottom-width: 1px; }
+    html.theme--documenter-dark .table.is-fullwidth {
+      width: 100%; }
+    html.theme--documenter-dark .table.is-hoverable tbody tr:not(.is-selected):hover {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover {
+      background-color: #282f2f; }
+      html.theme--documenter-dark .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover:nth-child(even) {
+        background-color: #2d3435; }
+    html.theme--documenter-dark .table.is-narrow td,
+    html.theme--documenter-dark .table.is-narrow th {
+      padding: 0.25em 0.5em; }
+    html.theme--documenter-dark .table.is-striped tbody tr:not(.is-selected):nth-child(even) {
+      background-color: #282f2f; }
+  html.theme--documenter-dark .table-container {
+    -webkit-overflow-scrolling: touch;
+    overflow: auto;
+    overflow-y: hidden;
+    max-width: 100%; }
+  html.theme--documenter-dark .tags {
+    align-items: center;
+    display: flex;
+    flex-wrap: wrap;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .tags .tag, html.theme--documenter-dark .tags .content kbd, html.theme--documenter-dark .content .tags kbd, html.theme--documenter-dark .tags .docstring > section > a.docs-sourcelink {
+      margin-bottom: 0.5rem; }
+      html.theme--documenter-dark .tags .tag:not(:last-child), html.theme--documenter-dark .tags .content kbd:not(:last-child), html.theme--documenter-dark .content .tags kbd:not(:last-child), html.theme--documenter-dark .tags .docstring > section > a.docs-sourcelink:not(:last-child) {
+        margin-right: 0.5rem; }
+    html.theme--documenter-dark .tags:last-child {
+      margin-bottom: -0.5rem; }
+    html.theme--documenter-dark .tags:not(:last-child) {
+      margin-bottom: 1rem; }
+    html.theme--documenter-dark .tags.are-medium .tag:not(.is-normal):not(.is-large), html.theme--documenter-dark .tags.are-medium .content kbd:not(.is-normal):not(.is-large), html.theme--documenter-dark .content .tags.are-medium kbd:not(.is-normal):not(.is-large), html.theme--documenter-dark .tags.are-medium .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-large) {
+      font-size: 15px; }
+    html.theme--documenter-dark .tags.are-large .tag:not(.is-normal):not(.is-medium), html.theme--documenter-dark .tags.are-large .content kbd:not(.is-normal):not(.is-medium), html.theme--documenter-dark .content .tags.are-large kbd:not(.is-normal):not(.is-medium), html.theme--documenter-dark .tags.are-large .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-medium) {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .tags.is-centered {
+      justify-content: center; }
+      html.theme--documenter-dark .tags.is-centered .tag, html.theme--documenter-dark .tags.is-centered .content kbd, html.theme--documenter-dark .content .tags.is-centered kbd, html.theme--documenter-dark .tags.is-centered .docstring > section > a.docs-sourcelink {
+        margin-right: 0.25rem;
+        margin-left: 0.25rem; }
+    html.theme--documenter-dark .tags.is-right {
+      justify-content: flex-end; }
+      html.theme--documenter-dark .tags.is-right .tag:not(:first-child), html.theme--documenter-dark .tags.is-right .content kbd:not(:first-child), html.theme--documenter-dark .content .tags.is-right kbd:not(:first-child), html.theme--documenter-dark .tags.is-right .docstring > section > a.docs-sourcelink:not(:first-child) {
+        margin-left: 0.5rem; }
+      html.theme--documenter-dark .tags.is-right .tag:not(:last-child), html.theme--documenter-dark .tags.is-right .content kbd:not(:last-child), html.theme--documenter-dark .content .tags.is-right kbd:not(:last-child), html.theme--documenter-dark .tags.is-right .docstring > section > a.docs-sourcelink:not(:last-child) {
+        margin-right: 0; }
+    html.theme--documenter-dark .tags.has-addons .tag, html.theme--documenter-dark .tags.has-addons .content kbd, html.theme--documenter-dark .content .tags.has-addons kbd, html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink {
+      margin-right: 0; }
+      html.theme--documenter-dark .tags.has-addons .tag:not(:first-child), html.theme--documenter-dark .tags.has-addons .content kbd:not(:first-child), html.theme--documenter-dark .content .tags.has-addons kbd:not(:first-child), html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink:not(:first-child) {
+        margin-left: 0;
+        border-bottom-left-radius: 0;
+        border-top-left-radius: 0; }
+      html.theme--documenter-dark .tags.has-addons .tag:not(:last-child), html.theme--documenter-dark .tags.has-addons .content kbd:not(:last-child), html.theme--documenter-dark .content .tags.has-addons kbd:not(:last-child), html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink:not(:last-child) {
+        border-bottom-right-radius: 0;
+        border-top-right-radius: 0; }
+  html.theme--documenter-dark .tag:not(body), html.theme--documenter-dark .content kbd:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) {
+    align-items: center;
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    color: #fff;
+    display: inline-flex;
+    font-size: 0.85em;
+    height: 2em;
+    justify-content: center;
+    line-height: 1.5;
+    padding-left: 0.75em;
+    padding-right: 0.75em;
+    white-space: nowrap; }
+    html.theme--documenter-dark .tag:not(body) .delete, html.theme--documenter-dark .content kbd:not(body) .delete, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .delete {
+      margin-left: 0.25rem;
+      margin-right: -0.375rem; }
+    html.theme--documenter-dark .tag.is-white:not(body), html.theme--documenter-dark .content kbd.is-white:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-white:not(body) {
+      background-color: white;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .tag.is-black:not(body), html.theme--documenter-dark .content kbd.is-black:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-black:not(body) {
+      background-color: #0a0a0a;
+      color: white; }
+    html.theme--documenter-dark .tag.is-light:not(body), html.theme--documenter-dark .content kbd.is-light:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-light:not(body) {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+    html.theme--documenter-dark .tag.is-dark:not(body), html.theme--documenter-dark .content kbd:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-dark:not(body), html.theme--documenter-dark .content .docstring > section > kbd:not(body) {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .tag.is-primary:not(body), html.theme--documenter-dark .content kbd.is-primary:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) {
+      background-color: #375a7f;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-link:not(body), html.theme--documenter-dark .content kbd.is-link:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-link:not(body) {
+      background-color: #1abc9c;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-info:not(body), html.theme--documenter-dark .content kbd.is-info:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-info:not(body) {
+      background-color: #024c7d;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-success:not(body), html.theme--documenter-dark .content kbd.is-success:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-success:not(body) {
+      background-color: #008438;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-warning:not(body), html.theme--documenter-dark .content kbd.is-warning:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-warning:not(body) {
+      background-color: #ad8100;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-danger:not(body), html.theme--documenter-dark .content kbd.is-danger:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-danger:not(body) {
+      background-color: #9e1b0d;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-normal:not(body), html.theme--documenter-dark .content kbd.is-normal:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-normal:not(body) {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .tag.is-medium:not(body), html.theme--documenter-dark .content kbd.is-medium:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-medium:not(body) {
+      font-size: 15px; }
+    html.theme--documenter-dark .tag.is-large:not(body), html.theme--documenter-dark .content kbd.is-large:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-large:not(body) {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .tag:not(body) .icon:first-child:not(:last-child), html.theme--documenter-dark .content kbd:not(body) .icon:first-child:not(:last-child), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:not(:last-child) {
+      margin-left: -0.375em;
+      margin-right: 0.1875em; }
+    html.theme--documenter-dark .tag:not(body) .icon:last-child:not(:first-child), html.theme--documenter-dark .content kbd:not(body) .icon:last-child:not(:first-child), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:last-child:not(:first-child) {
+      margin-left: 0.1875em;
+      margin-right: -0.375em; }
+    html.theme--documenter-dark .tag:not(body) .icon:first-child:last-child, html.theme--documenter-dark .content kbd:not(body) .icon:first-child:last-child, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:last-child {
+      margin-left: -0.375em;
+      margin-right: -0.375em; }
+    html.theme--documenter-dark .tag.is-delete:not(body), html.theme--documenter-dark .content kbd.is-delete:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body) {
+      margin-left: 1px;
+      padding: 0;
+      position: relative;
+      width: 2em; }
+      html.theme--documenter-dark .tag.is-delete:not(body)::before, html.theme--documenter-dark .content kbd.is-delete:not(body)::before, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::before, html.theme--documenter-dark .tag.is-delete:not(body)::after, html.theme--documenter-dark .content kbd.is-delete:not(body)::after, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+        background-color: currentColor;
+        content: "";
+        display: block;
+        left: 50%;
+        position: absolute;
+        top: 50%;
+        transform: translateX(-50%) translateY(-50%) rotate(45deg);
+        transform-origin: center center; }
+      html.theme--documenter-dark .tag.is-delete:not(body)::before, html.theme--documenter-dark .content kbd.is-delete:not(body)::before, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::before {
+        height: 1px;
+        width: 50%; }
+      html.theme--documenter-dark .tag.is-delete:not(body)::after, html.theme--documenter-dark .content kbd.is-delete:not(body)::after, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+        height: 50%;
+        width: 1px; }
+      html.theme--documenter-dark .tag.is-delete:not(body):hover, html.theme--documenter-dark .content kbd.is-delete:not(body):hover, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):hover, html.theme--documenter-dark .tag.is-delete:not(body):focus, html.theme--documenter-dark .content kbd.is-delete:not(body):focus, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):focus {
+        background-color: #1d2122; }
+      html.theme--documenter-dark .tag.is-delete:not(body):active, html.theme--documenter-dark .content kbd.is-delete:not(body):active, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):active {
+        background-color: #111414; }
+    html.theme--documenter-dark .tag.is-rounded:not(body), html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:not(body), html.theme--documenter-dark .content kbd.is-rounded:not(body), html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-rounded:not(body) {
+      border-radius: 290486px; }
+  html.theme--documenter-dark a.tag:hover, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:hover {
+    text-decoration: underline; }
+  html.theme--documenter-dark .title,
+  html.theme--documenter-dark .subtitle {
+    word-break: break-word; }
+    html.theme--documenter-dark .title em,
+    html.theme--documenter-dark .title span,
+    html.theme--documenter-dark .subtitle em,
+    html.theme--documenter-dark .subtitle span {
+      font-weight: inherit; }
+    html.theme--documenter-dark .title sub,
+    html.theme--documenter-dark .subtitle sub {
+      font-size: 0.75em; }
+    html.theme--documenter-dark .title sup,
+    html.theme--documenter-dark .subtitle sup {
+      font-size: 0.75em; }
+    html.theme--documenter-dark .title .tag, html.theme--documenter-dark .title .content kbd, html.theme--documenter-dark .content .title kbd, html.theme--documenter-dark .title .docstring > section > a.docs-sourcelink,
+    html.theme--documenter-dark .subtitle .tag,
+    html.theme--documenter-dark .subtitle .content kbd,
+    html.theme--documenter-dark .content .subtitle kbd,
+    html.theme--documenter-dark .subtitle .docstring > section > a.docs-sourcelink {
+      vertical-align: middle; }
+  html.theme--documenter-dark .title {
+    color: #fff;
+    font-size: 2rem;
+    font-weight: 500;
+    line-height: 1.125; }
+    html.theme--documenter-dark .title strong {
+      color: inherit;
+      font-weight: inherit; }
+    html.theme--documenter-dark .title + .highlight {
+      margin-top: -0.75rem; }
+    html.theme--documenter-dark .title:not(.is-spaced) + .subtitle {
+      margin-top: -1.25rem; }
+    html.theme--documenter-dark .title.is-1 {
+      font-size: 3rem; }
+    html.theme--documenter-dark .title.is-2 {
+      font-size: 2.5rem; }
+    html.theme--documenter-dark .title.is-3 {
+      font-size: 2rem; }
+    html.theme--documenter-dark .title.is-4 {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .title.is-5 {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .title.is-6 {
+      font-size: 15px; }
+    html.theme--documenter-dark .title.is-7 {
+      font-size: 0.85em; }
+  html.theme--documenter-dark .subtitle {
+    color: #8c9b9d;
+    font-size: 1.25rem;
+    font-weight: 400;
+    line-height: 1.25; }
+    html.theme--documenter-dark .subtitle strong {
+      color: #8c9b9d;
+      font-weight: 600; }
+    html.theme--documenter-dark .subtitle:not(.is-spaced) + .title {
+      margin-top: -1.25rem; }
+    html.theme--documenter-dark .subtitle.is-1 {
+      font-size: 3rem; }
+    html.theme--documenter-dark .subtitle.is-2 {
+      font-size: 2.5rem; }
+    html.theme--documenter-dark .subtitle.is-3 {
+      font-size: 2rem; }
+    html.theme--documenter-dark .subtitle.is-4 {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .subtitle.is-5 {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .subtitle.is-6 {
+      font-size: 15px; }
+    html.theme--documenter-dark .subtitle.is-7 {
+      font-size: 0.85em; }
+  html.theme--documenter-dark .heading {
+    display: block;
+    font-size: 11px;
+    letter-spacing: 1px;
+    margin-bottom: 5px;
+    text-transform: uppercase; }
+  html.theme--documenter-dark .highlight {
+    font-weight: 400;
+    max-width: 100%;
+    overflow: hidden;
+    padding: 0; }
+    html.theme--documenter-dark .highlight pre {
+      overflow: auto;
+      max-width: 100%; }
+  html.theme--documenter-dark .number {
+    align-items: center;
+    background-color: #282f2f;
+    border-radius: 290486px;
+    display: inline-flex;
+    font-size: 1.25rem;
+    height: 2em;
+    justify-content: center;
+    margin-right: 1.5rem;
+    min-width: 2.5em;
+    padding: 0.25rem 0.5rem;
+    text-align: center;
+    vertical-align: top; }
+  html.theme--documenter-dark .select select, html.theme--documenter-dark .textarea, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+    background-color: #1f2424;
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    color: #dbdee0; }
+    html.theme--documenter-dark .select select::-moz-placeholder, html.theme--documenter-dark .textarea::-moz-placeholder, html.theme--documenter-dark .input::-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-moz-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select::-webkit-input-placeholder, html.theme--documenter-dark .textarea::-webkit-input-placeholder, html.theme--documenter-dark .input::-webkit-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select:-moz-placeholder, html.theme--documenter-dark .textarea:-moz-placeholder, html.theme--documenter-dark .input:-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-moz-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select:-ms-input-placeholder, html.theme--documenter-dark .textarea:-ms-input-placeholder, html.theme--documenter-dark .input:-ms-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select:hover, html.theme--documenter-dark .textarea:hover, html.theme--documenter-dark .input:hover, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:hover, html.theme--documenter-dark .select select.is-hovered, html.theme--documenter-dark .is-hovered.textarea, html.theme--documenter-dark .is-hovered.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-hovered {
+      border-color: #8c9b9d; }
+    html.theme--documenter-dark .select select:focus, html.theme--documenter-dark .textarea:focus, html.theme--documenter-dark .input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:focus, html.theme--documenter-dark .select select.is-focused, html.theme--documenter-dark .is-focused.textarea, html.theme--documenter-dark .is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .select select:active, html.theme--documenter-dark .textarea:active, html.theme--documenter-dark .input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:active, html.theme--documenter-dark .select select.is-active, html.theme--documenter-dark .is-active.textarea, html.theme--documenter-dark .is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+      border-color: #1abc9c;
+      box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .select select[disabled], html.theme--documenter-dark .textarea[disabled], html.theme--documenter-dark .input[disabled], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled], fieldset[disabled] html.theme--documenter-dark .select select, fieldset[disabled] html.theme--documenter-dark .textarea, fieldset[disabled] html.theme--documenter-dark .input, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+      background-color: #8c9b9d;
+      border-color: #282f2f;
+      box-shadow: none;
+      color: white; }
+      html.theme--documenter-dark .select select[disabled]::-moz-placeholder, html.theme--documenter-dark .textarea[disabled]::-moz-placeholder, html.theme--documenter-dark .input[disabled]::-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .select select::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .input::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-moz-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+      html.theme--documenter-dark .select select[disabled]::-webkit-input-placeholder, html.theme--documenter-dark .textarea[disabled]::-webkit-input-placeholder, html.theme--documenter-dark .input[disabled]::-webkit-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .select select::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .input::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+      html.theme--documenter-dark .select select[disabled]:-moz-placeholder, html.theme--documenter-dark .textarea[disabled]:-moz-placeholder, html.theme--documenter-dark .input[disabled]:-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .select select:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .input:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-moz-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+      html.theme--documenter-dark .select select[disabled]:-ms-input-placeholder, html.theme--documenter-dark .textarea[disabled]:-ms-input-placeholder, html.theme--documenter-dark .input[disabled]:-ms-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .select select:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .input:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+  html.theme--documenter-dark .textarea, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+    box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.1);
+    max-width: 100%;
+    width: 100%; }
+    html.theme--documenter-dark .textarea[readonly], html.theme--documenter-dark .input[readonly], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[readonly] {
+      box-shadow: none; }
+    html.theme--documenter-dark .is-white.textarea, html.theme--documenter-dark .is-white.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white {
+      border-color: white; }
+      html.theme--documenter-dark .is-white.textarea:focus, html.theme--documenter-dark .is-white.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white:focus, html.theme--documenter-dark .is-white.is-focused.textarea, html.theme--documenter-dark .is-white.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-white.textarea:active, html.theme--documenter-dark .is-white.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white:active, html.theme--documenter-dark .is-white.is-active.textarea, html.theme--documenter-dark .is-white.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+    html.theme--documenter-dark .is-black.textarea, html.theme--documenter-dark .is-black.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black {
+      border-color: #0a0a0a; }
+      html.theme--documenter-dark .is-black.textarea:focus, html.theme--documenter-dark .is-black.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black:focus, html.theme--documenter-dark .is-black.is-focused.textarea, html.theme--documenter-dark .is-black.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-black.textarea:active, html.theme--documenter-dark .is-black.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black:active, html.theme--documenter-dark .is-black.is-active.textarea, html.theme--documenter-dark .is-black.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+    html.theme--documenter-dark .is-light.textarea, html.theme--documenter-dark .is-light.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light {
+      border-color: #ecf0f1; }
+      html.theme--documenter-dark .is-light.textarea:focus, html.theme--documenter-dark .is-light.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light:focus, html.theme--documenter-dark .is-light.is-focused.textarea, html.theme--documenter-dark .is-light.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-light.textarea:active, html.theme--documenter-dark .is-light.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light:active, html.theme--documenter-dark .is-light.is-active.textarea, html.theme--documenter-dark .is-light.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); }
+    html.theme--documenter-dark .is-dark.textarea, html.theme--documenter-dark .content kbd.textarea, html.theme--documenter-dark .is-dark.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark, html.theme--documenter-dark .content kbd.input {
+      border-color: #282f2f; }
+      html.theme--documenter-dark .is-dark.textarea:focus, html.theme--documenter-dark .content kbd.textarea:focus, html.theme--documenter-dark .is-dark.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark:focus, html.theme--documenter-dark .content kbd.input:focus, html.theme--documenter-dark .is-dark.is-focused.textarea, html.theme--documenter-dark .content kbd.is-focused.textarea, html.theme--documenter-dark .is-dark.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .content kbd.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input.is-focused, html.theme--documenter-dark .is-dark.textarea:active, html.theme--documenter-dark .content kbd.textarea:active, html.theme--documenter-dark .is-dark.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark:active, html.theme--documenter-dark .content kbd.input:active, html.theme--documenter-dark .is-dark.is-active.textarea, html.theme--documenter-dark .content kbd.is-active.textarea, html.theme--documenter-dark .is-dark.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .content kbd.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); }
+    html.theme--documenter-dark .is-primary.textarea, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink {
+      border-color: #375a7f; }
+      html.theme--documenter-dark .is-primary.textarea:focus, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink:focus, html.theme--documenter-dark .is-primary.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary:focus, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink:focus, html.theme--documenter-dark .is-primary.is-focused.textarea, html.theme--documenter-dark .docstring > section > a.is-focused.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .docstring > section > a.is-focused.input.docs-sourcelink, html.theme--documenter-dark .is-primary.textarea:active, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink:active, html.theme--documenter-dark .is-primary.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary:active, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink:active, html.theme--documenter-dark .is-primary.is-active.textarea, html.theme--documenter-dark .docstring > section > a.is-active.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .docstring > section > a.is-active.input.docs-sourcelink {
+        box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); }
+    html.theme--documenter-dark .is-link.textarea, html.theme--documenter-dark .is-link.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link {
+      border-color: #1abc9c; }
+      html.theme--documenter-dark .is-link.textarea:focus, html.theme--documenter-dark .is-link.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link:focus, html.theme--documenter-dark .is-link.is-focused.textarea, html.theme--documenter-dark .is-link.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-link.textarea:active, html.theme--documenter-dark .is-link.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link:active, html.theme--documenter-dark .is-link.is-active.textarea, html.theme--documenter-dark .is-link.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .is-info.textarea, html.theme--documenter-dark .is-info.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info {
+      border-color: #024c7d; }
+      html.theme--documenter-dark .is-info.textarea:focus, html.theme--documenter-dark .is-info.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info:focus, html.theme--documenter-dark .is-info.is-focused.textarea, html.theme--documenter-dark .is-info.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-info.textarea:active, html.theme--documenter-dark .is-info.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info:active, html.theme--documenter-dark .is-info.is-active.textarea, html.theme--documenter-dark .is-info.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); }
+    html.theme--documenter-dark .is-success.textarea, html.theme--documenter-dark .is-success.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success {
+      border-color: #008438; }
+      html.theme--documenter-dark .is-success.textarea:focus, html.theme--documenter-dark .is-success.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success:focus, html.theme--documenter-dark .is-success.is-focused.textarea, html.theme--documenter-dark .is-success.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-success.textarea:active, html.theme--documenter-dark .is-success.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success:active, html.theme--documenter-dark .is-success.is-active.textarea, html.theme--documenter-dark .is-success.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); }
+    html.theme--documenter-dark .is-warning.textarea, html.theme--documenter-dark .is-warning.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning {
+      border-color: #ad8100; }
+      html.theme--documenter-dark .is-warning.textarea:focus, html.theme--documenter-dark .is-warning.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning:focus, html.theme--documenter-dark .is-warning.is-focused.textarea, html.theme--documenter-dark .is-warning.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-warning.textarea:active, html.theme--documenter-dark .is-warning.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning:active, html.theme--documenter-dark .is-warning.is-active.textarea, html.theme--documenter-dark .is-warning.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); }
+    html.theme--documenter-dark .is-danger.textarea, html.theme--documenter-dark .is-danger.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger {
+      border-color: #9e1b0d; }
+      html.theme--documenter-dark .is-danger.textarea:focus, html.theme--documenter-dark .is-danger.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger:focus, html.theme--documenter-dark .is-danger.is-focused.textarea, html.theme--documenter-dark .is-danger.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-danger.textarea:active, html.theme--documenter-dark .is-danger.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger:active, html.theme--documenter-dark .is-danger.is-active.textarea, html.theme--documenter-dark .is-danger.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); }
+    html.theme--documenter-dark .is-small.textarea, html.theme--documenter-dark .is-small.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .is-medium.textarea, html.theme--documenter-dark .is-medium.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .is-large.textarea, html.theme--documenter-dark .is-large.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .is-fullwidth.textarea, html.theme--documenter-dark .is-fullwidth.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-fullwidth {
+      display: block;
+      width: 100%; }
+    html.theme--documenter-dark .is-inline.textarea, html.theme--documenter-dark .is-inline.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-inline {
+      display: inline;
+      width: auto; }
+  html.theme--documenter-dark .input.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+    border-radius: 290486px;
+    padding-left: 1em;
+    padding-right: 1em; }
+  html.theme--documenter-dark .input.is-static, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-static {
+    background-color: transparent;
+    border-color: transparent;
+    box-shadow: none;
+    padding-left: 0;
+    padding-right: 0; }
+  html.theme--documenter-dark .textarea {
+    display: block;
+    max-width: 100%;
+    min-width: 100%;
+    padding: 0.625em;
+    resize: vertical; }
+    html.theme--documenter-dark .textarea:not([rows]) {
+      max-height: 600px;
+      min-height: 120px; }
+    html.theme--documenter-dark .textarea[rows] {
+      height: initial; }
+    html.theme--documenter-dark .textarea.has-fixed-size {
+      resize: none; }
+  html.theme--documenter-dark .radio, html.theme--documenter-dark .checkbox {
+    cursor: pointer;
+    display: inline-block;
+    line-height: 1.25;
+    position: relative; }
+    html.theme--documenter-dark .radio input, html.theme--documenter-dark .checkbox input {
+      cursor: pointer; }
+    html.theme--documenter-dark .radio:hover, html.theme--documenter-dark .checkbox:hover {
+      color: #8c9b9d; }
+    html.theme--documenter-dark .radio[disabled], html.theme--documenter-dark .checkbox[disabled], fieldset[disabled] html.theme--documenter-dark .radio, fieldset[disabled] html.theme--documenter-dark .checkbox {
+      color: white;
+      cursor: not-allowed; }
+  html.theme--documenter-dark .radio + .radio {
+    margin-left: 0.5em; }
+  html.theme--documenter-dark .select {
+    display: inline-block;
+    max-width: 100%;
+    position: relative;
+    vertical-align: top; }
+    html.theme--documenter-dark .select:not(.is-multiple) {
+      height: 2.25em; }
+    html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after {
+      border-color: #1abc9c;
+      right: 1.125em;
+      z-index: 4; }
+    html.theme--documenter-dark .select.is-rounded select, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.select select {
+      border-radius: 290486px;
+      padding-left: 1em; }
+    html.theme--documenter-dark .select select {
+      cursor: pointer;
+      display: block;
+      font-size: 1em;
+      max-width: 100%;
+      outline: none; }
+      html.theme--documenter-dark .select select::-ms-expand {
+        display: none; }
+      html.theme--documenter-dark .select select[disabled]:hover, fieldset[disabled] html.theme--documenter-dark .select select:hover {
+        border-color: #282f2f; }
+      html.theme--documenter-dark .select select:not([multiple]) {
+        padding-right: 2.5em; }
+      html.theme--documenter-dark .select select[multiple] {
+        height: auto;
+        padding: 0; }
+        html.theme--documenter-dark .select select[multiple] option {
+          padding: 0.5em 1em; }
+    html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading):hover::after {
+      border-color: #8c9b9d; }
+    html.theme--documenter-dark .select.is-white:not(:hover)::after {
+      border-color: white; }
+    html.theme--documenter-dark .select.is-white select {
+      border-color: white; }
+      html.theme--documenter-dark .select.is-white select:hover, html.theme--documenter-dark .select.is-white select.is-hovered {
+        border-color: #f2f2f2; }
+      html.theme--documenter-dark .select.is-white select:focus, html.theme--documenter-dark .select.is-white select.is-focused, html.theme--documenter-dark .select.is-white select:active, html.theme--documenter-dark .select.is-white select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+    html.theme--documenter-dark .select.is-black:not(:hover)::after {
+      border-color: #0a0a0a; }
+    html.theme--documenter-dark .select.is-black select {
+      border-color: #0a0a0a; }
+      html.theme--documenter-dark .select.is-black select:hover, html.theme--documenter-dark .select.is-black select.is-hovered {
+        border-color: black; }
+      html.theme--documenter-dark .select.is-black select:focus, html.theme--documenter-dark .select.is-black select.is-focused, html.theme--documenter-dark .select.is-black select:active, html.theme--documenter-dark .select.is-black select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+    html.theme--documenter-dark .select.is-light:not(:hover)::after {
+      border-color: #ecf0f1; }
+    html.theme--documenter-dark .select.is-light select {
+      border-color: #ecf0f1; }
+      html.theme--documenter-dark .select.is-light select:hover, html.theme--documenter-dark .select.is-light select.is-hovered {
+        border-color: #dde4e6; }
+      html.theme--documenter-dark .select.is-light select:focus, html.theme--documenter-dark .select.is-light select.is-focused, html.theme--documenter-dark .select.is-light select:active, html.theme--documenter-dark .select.is-light select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); }
+    html.theme--documenter-dark .select.is-dark:not(:hover)::after, html.theme--documenter-dark .content kbd.select:not(:hover)::after {
+      border-color: #282f2f; }
+    html.theme--documenter-dark .select.is-dark select, html.theme--documenter-dark .content kbd.select select {
+      border-color: #282f2f; }
+      html.theme--documenter-dark .select.is-dark select:hover, html.theme--documenter-dark .content kbd.select select:hover, html.theme--documenter-dark .select.is-dark select.is-hovered, html.theme--documenter-dark .content kbd.select select.is-hovered {
+        border-color: #1d2122; }
+      html.theme--documenter-dark .select.is-dark select:focus, html.theme--documenter-dark .content kbd.select select:focus, html.theme--documenter-dark .select.is-dark select.is-focused, html.theme--documenter-dark .content kbd.select select.is-focused, html.theme--documenter-dark .select.is-dark select:active, html.theme--documenter-dark .content kbd.select select:active, html.theme--documenter-dark .select.is-dark select.is-active, html.theme--documenter-dark .content kbd.select select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); }
+    html.theme--documenter-dark .select.is-primary:not(:hover)::after, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink:not(:hover)::after {
+      border-color: #375a7f; }
+    html.theme--documenter-dark .select.is-primary select, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select {
+      border-color: #375a7f; }
+      html.theme--documenter-dark .select.is-primary select:hover, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:hover, html.theme--documenter-dark .select.is-primary select.is-hovered, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-hovered {
+        border-color: #2f4d6d; }
+      html.theme--documenter-dark .select.is-primary select:focus, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:focus, html.theme--documenter-dark .select.is-primary select.is-focused, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-focused, html.theme--documenter-dark .select.is-primary select:active, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:active, html.theme--documenter-dark .select.is-primary select.is-active, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); }
+    html.theme--documenter-dark .select.is-link:not(:hover)::after {
+      border-color: #1abc9c; }
+    html.theme--documenter-dark .select.is-link select {
+      border-color: #1abc9c; }
+      html.theme--documenter-dark .select.is-link select:hover, html.theme--documenter-dark .select.is-link select.is-hovered {
+        border-color: #17a689; }
+      html.theme--documenter-dark .select.is-link select:focus, html.theme--documenter-dark .select.is-link select.is-focused, html.theme--documenter-dark .select.is-link select:active, html.theme--documenter-dark .select.is-link select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .select.is-info:not(:hover)::after {
+      border-color: #024c7d; }
+    html.theme--documenter-dark .select.is-info select {
+      border-color: #024c7d; }
+      html.theme--documenter-dark .select.is-info select:hover, html.theme--documenter-dark .select.is-info select.is-hovered {
+        border-color: #023d64; }
+      html.theme--documenter-dark .select.is-info select:focus, html.theme--documenter-dark .select.is-info select.is-focused, html.theme--documenter-dark .select.is-info select:active, html.theme--documenter-dark .select.is-info select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); }
+    html.theme--documenter-dark .select.is-success:not(:hover)::after {
+      border-color: #008438; }
+    html.theme--documenter-dark .select.is-success select {
+      border-color: #008438; }
+      html.theme--documenter-dark .select.is-success select:hover, html.theme--documenter-dark .select.is-success select.is-hovered {
+        border-color: #006b2d; }
+      html.theme--documenter-dark .select.is-success select:focus, html.theme--documenter-dark .select.is-success select.is-focused, html.theme--documenter-dark .select.is-success select:active, html.theme--documenter-dark .select.is-success select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); }
+    html.theme--documenter-dark .select.is-warning:not(:hover)::after {
+      border-color: #ad8100; }
+    html.theme--documenter-dark .select.is-warning select {
+      border-color: #ad8100; }
+      html.theme--documenter-dark .select.is-warning select:hover, html.theme--documenter-dark .select.is-warning select.is-hovered {
+        border-color: #946e00; }
+      html.theme--documenter-dark .select.is-warning select:focus, html.theme--documenter-dark .select.is-warning select.is-focused, html.theme--documenter-dark .select.is-warning select:active, html.theme--documenter-dark .select.is-warning select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); }
+    html.theme--documenter-dark .select.is-danger:not(:hover)::after {
+      border-color: #9e1b0d; }
+    html.theme--documenter-dark .select.is-danger select {
+      border-color: #9e1b0d; }
+      html.theme--documenter-dark .select.is-danger select:hover, html.theme--documenter-dark .select.is-danger select.is-hovered {
+        border-color: #86170b; }
+      html.theme--documenter-dark .select.is-danger select:focus, html.theme--documenter-dark .select.is-danger select.is-focused, html.theme--documenter-dark .select.is-danger select:active, html.theme--documenter-dark .select.is-danger select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); }
+    html.theme--documenter-dark .select.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.select {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .select.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .select.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .select.is-disabled::after {
+      border-color: white; }
+    html.theme--documenter-dark .select.is-fullwidth {
+      width: 100%; }
+      html.theme--documenter-dark .select.is-fullwidth select {
+        width: 100%; }
+    html.theme--documenter-dark .select.is-loading::after {
+      margin-top: 0;
+      position: absolute;
+      right: 0.625em;
+      top: 0.625em;
+      transform: none; }
+    html.theme--documenter-dark .select.is-loading.is-small:after, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .select.is-loading.is-medium:after {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .select.is-loading.is-large:after {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .file {
+    align-items: stretch;
+    display: flex;
+    justify-content: flex-start;
+    position: relative; }
+    html.theme--documenter-dark .file.is-white .file-cta {
+      background-color: white;
+      border-color: transparent;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-white:hover .file-cta, html.theme--documenter-dark .file.is-white.is-hovered .file-cta {
+      background-color: #f9f9f9;
+      border-color: transparent;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-white:focus .file-cta, html.theme--documenter-dark .file.is-white.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(255, 255, 255, 0.25);
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-white:active .file-cta, html.theme--documenter-dark .file.is-white.is-active .file-cta {
+      background-color: #f2f2f2;
+      border-color: transparent;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-black .file-cta {
+      background-color: #0a0a0a;
+      border-color: transparent;
+      color: white; }
+    html.theme--documenter-dark .file.is-black:hover .file-cta, html.theme--documenter-dark .file.is-black.is-hovered .file-cta {
+      background-color: #040404;
+      border-color: transparent;
+      color: white; }
+    html.theme--documenter-dark .file.is-black:focus .file-cta, html.theme--documenter-dark .file.is-black.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(10, 10, 10, 0.25);
+      color: white; }
+    html.theme--documenter-dark .file.is-black:active .file-cta, html.theme--documenter-dark .file.is-black.is-active .file-cta {
+      background-color: black;
+      border-color: transparent;
+      color: white; }
+    html.theme--documenter-dark .file.is-light .file-cta {
+      background-color: #ecf0f1;
+      border-color: transparent;
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-light:hover .file-cta, html.theme--documenter-dark .file.is-light.is-hovered .file-cta {
+      background-color: #e5eaec;
+      border-color: transparent;
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-light:focus .file-cta, html.theme--documenter-dark .file.is-light.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(236, 240, 241, 0.25);
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-light:active .file-cta, html.theme--documenter-dark .file.is-light.is-active .file-cta {
+      background-color: #dde4e6;
+      border-color: transparent;
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-dark .file-cta, html.theme--documenter-dark .content kbd.file .file-cta {
+      background-color: #282f2f;
+      border-color: transparent;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-dark:hover .file-cta, html.theme--documenter-dark .content kbd.file:hover .file-cta, html.theme--documenter-dark .file.is-dark.is-hovered .file-cta, html.theme--documenter-dark .content kbd.file.is-hovered .file-cta {
+      background-color: #232829;
+      border-color: transparent;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-dark:focus .file-cta, html.theme--documenter-dark .content kbd.file:focus .file-cta, html.theme--documenter-dark .file.is-dark.is-focused .file-cta, html.theme--documenter-dark .content kbd.file.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(40, 47, 47, 0.25);
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-dark:active .file-cta, html.theme--documenter-dark .content kbd.file:active .file-cta, html.theme--documenter-dark .file.is-dark.is-active .file-cta, html.theme--documenter-dark .content kbd.file.is-active .file-cta {
+      background-color: #1d2122;
+      border-color: transparent;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-primary .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink .file-cta {
+      background-color: #375a7f;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-primary:hover .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:hover .file-cta, html.theme--documenter-dark .file.is-primary.is-hovered .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-hovered.docs-sourcelink .file-cta {
+      background-color: #335476;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-primary:focus .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:focus .file-cta, html.theme--documenter-dark .file.is-primary.is-focused .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-focused.docs-sourcelink .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(55, 90, 127, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-primary:active .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:active .file-cta, html.theme--documenter-dark .file.is-primary.is-active .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-active.docs-sourcelink .file-cta {
+      background-color: #2f4d6d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link .file-cta {
+      background-color: #1abc9c;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link:hover .file-cta, html.theme--documenter-dark .file.is-link.is-hovered .file-cta {
+      background-color: #18b193;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link:focus .file-cta, html.theme--documenter-dark .file.is-link.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(26, 188, 156, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link:active .file-cta, html.theme--documenter-dark .file.is-link.is-active .file-cta {
+      background-color: #17a689;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info .file-cta {
+      background-color: #024c7d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info:hover .file-cta, html.theme--documenter-dark .file.is-info.is-hovered .file-cta {
+      background-color: #024470;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info:focus .file-cta, html.theme--documenter-dark .file.is-info.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(2, 76, 125, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info:active .file-cta, html.theme--documenter-dark .file.is-info.is-active .file-cta {
+      background-color: #023d64;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success .file-cta {
+      background-color: #008438;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success:hover .file-cta, html.theme--documenter-dark .file.is-success.is-hovered .file-cta {
+      background-color: #007733;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success:focus .file-cta, html.theme--documenter-dark .file.is-success.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(0, 132, 56, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success:active .file-cta, html.theme--documenter-dark .file.is-success.is-active .file-cta {
+      background-color: #006b2d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning .file-cta {
+      background-color: #ad8100;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning:hover .file-cta, html.theme--documenter-dark .file.is-warning.is-hovered .file-cta {
+      background-color: #a07700;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning:focus .file-cta, html.theme--documenter-dark .file.is-warning.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(173, 129, 0, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning:active .file-cta, html.theme--documenter-dark .file.is-warning.is-active .file-cta {
+      background-color: #946e00;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger .file-cta {
+      background-color: #9e1b0d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger:hover .file-cta, html.theme--documenter-dark .file.is-danger.is-hovered .file-cta {
+      background-color: #92190c;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger:focus .file-cta, html.theme--documenter-dark .file.is-danger.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(158, 27, 13, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger:active .file-cta, html.theme--documenter-dark .file.is-danger.is-active .file-cta {
+      background-color: #86170b;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.file {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .file.is-medium {
+      font-size: 1.25rem; }
+      html.theme--documenter-dark .file.is-medium .file-icon .fa {
+        font-size: 21px; }
+    html.theme--documenter-dark .file.is-large {
+      font-size: 1.5rem; }
+      html.theme--documenter-dark .file.is-large .file-icon .fa {
+        font-size: 28px; }
+    html.theme--documenter-dark .file.has-name .file-cta {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0; }
+    html.theme--documenter-dark .file.has-name .file-name {
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    html.theme--documenter-dark .file.has-name.is-empty .file-cta {
+      border-radius: 0.4em; }
+    html.theme--documenter-dark .file.has-name.is-empty .file-name {
+      display: none; }
+    html.theme--documenter-dark .file.is-boxed .file-label {
+      flex-direction: column; }
+    html.theme--documenter-dark .file.is-boxed .file-cta {
+      flex-direction: column;
+      height: auto;
+      padding: 1em 3em; }
+    html.theme--documenter-dark .file.is-boxed .file-name {
+      border-width: 0 1px 1px; }
+    html.theme--documenter-dark .file.is-boxed .file-icon {
+      height: 1.5em;
+      width: 1.5em; }
+      html.theme--documenter-dark .file.is-boxed .file-icon .fa {
+        font-size: 21px; }
+    html.theme--documenter-dark .file.is-boxed.is-small .file-icon .fa, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-boxed .file-icon .fa {
+      font-size: 14px; }
+    html.theme--documenter-dark .file.is-boxed.is-medium .file-icon .fa {
+      font-size: 28px; }
+    html.theme--documenter-dark .file.is-boxed.is-large .file-icon .fa {
+      font-size: 35px; }
+    html.theme--documenter-dark .file.is-boxed.has-name .file-cta {
+      border-radius: 0.4em 0.4em 0 0; }
+    html.theme--documenter-dark .file.is-boxed.has-name .file-name {
+      border-radius: 0 0 0.4em 0.4em;
+      border-width: 0 1px 1px; }
+    html.theme--documenter-dark .file.is-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .file.is-fullwidth .file-label {
+      width: 100%; }
+    html.theme--documenter-dark .file.is-fullwidth .file-name {
+      flex-grow: 1;
+      max-width: none; }
+    html.theme--documenter-dark .file.is-right {
+      justify-content: flex-end; }
+      html.theme--documenter-dark .file.is-right .file-cta {
+        border-radius: 0 0.4em 0.4em 0; }
+      html.theme--documenter-dark .file.is-right .file-name {
+        border-radius: 0.4em 0 0 0.4em;
+        border-width: 1px 0 1px 1px;
+        order: -1; }
+  html.theme--documenter-dark .file-label {
+    align-items: stretch;
+    display: flex;
+    cursor: pointer;
+    justify-content: flex-start;
+    overflow: hidden;
+    position: relative; }
+    html.theme--documenter-dark .file-label:hover .file-cta {
+      background-color: #e5eaec;
+      color: #282f2f; }
+    html.theme--documenter-dark .file-label:hover .file-name {
+      border-color: #596668; }
+    html.theme--documenter-dark .file-label:active .file-cta {
+      background-color: #dde4e6;
+      color: #282f2f; }
+    html.theme--documenter-dark .file-label:active .file-name {
+      border-color: #535f61; }
+  html.theme--documenter-dark .file-input {
+    height: 100%;
+    left: 0;
+    opacity: 0;
+    outline: none;
+    position: absolute;
+    top: 0;
+    width: 100%; }
+  html.theme--documenter-dark .file-cta,
+  html.theme--documenter-dark .file-name {
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    font-size: 1em;
+    padding-left: 1em;
+    padding-right: 1em;
+    white-space: nowrap; }
+  html.theme--documenter-dark .file-cta {
+    background-color: #ecf0f1;
+    color: #343c3d; }
+  html.theme--documenter-dark .file-name {
+    border-color: #5e6d6f;
+    border-style: solid;
+    border-width: 1px 1px 1px 0;
+    display: block;
+    max-width: 16em;
+    overflow: hidden;
+    text-align: left;
+    text-overflow: ellipsis; }
+  html.theme--documenter-dark .file-icon {
+    align-items: center;
+    display: flex;
+    height: 1em;
+    justify-content: center;
+    margin-right: 0.5em;
+    width: 1em; }
+    html.theme--documenter-dark .file-icon .fa {
+      font-size: 14px; }
+  html.theme--documenter-dark .label {
+    color: #282f2f;
+    display: block;
+    font-size: 15px;
+    font-weight: 700; }
+    html.theme--documenter-dark .label:not(:last-child) {
+      margin-bottom: 0.5em; }
+    html.theme--documenter-dark .label.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.label {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .label.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .label.is-large {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .help {
+    display: block;
+    font-size: 0.85em;
+    margin-top: 0.25rem; }
+    html.theme--documenter-dark .help.is-white {
+      color: white; }
+    html.theme--documenter-dark .help.is-black {
+      color: #0a0a0a; }
+    html.theme--documenter-dark .help.is-light {
+      color: #ecf0f1; }
+    html.theme--documenter-dark .help.is-dark, html.theme--documenter-dark .content kbd.help {
+      color: #282f2f; }
+    html.theme--documenter-dark .help.is-primary, html.theme--documenter-dark .docstring > section > a.help.docs-sourcelink {
+      color: #375a7f; }
+    html.theme--documenter-dark .help.is-link {
+      color: #1abc9c; }
+    html.theme--documenter-dark .help.is-info {
+      color: #024c7d; }
+    html.theme--documenter-dark .help.is-success {
+      color: #008438; }
+    html.theme--documenter-dark .help.is-warning {
+      color: #ad8100; }
+    html.theme--documenter-dark .help.is-danger {
+      color: #9e1b0d; }
+  html.theme--documenter-dark .field:not(:last-child) {
+    margin-bottom: 0.75rem; }
+  html.theme--documenter-dark .field.has-addons {
+    display: flex;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .field.has-addons .control:not(:last-child) {
+      margin-right: -1px; }
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .button,
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .input,
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search > input,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search > input,
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .select select {
+      border-radius: 0; }
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .button,
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .input,
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search > input,
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .select select {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0; }
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .button,
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .input,
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search > input,
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .select select {
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):hover, html.theme--documenter-dark .field.has-addons .control .button.is-hovered:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):hover,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):hover,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):hover,
+    html.theme--documenter-dark .field.has-addons .control .input.is-hovered:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-hovered:not([disabled]),
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-hovered:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):hover,
+    html.theme--documenter-dark .field.has-addons .control .select select.is-hovered:not([disabled]) {
+      z-index: 2; }
+    html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):focus, html.theme--documenter-dark .field.has-addons .control .button.is-focused:not([disabled]), html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):active, html.theme--documenter-dark .field.has-addons .control .button.is-active:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):focus,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus,
+    html.theme--documenter-dark .field.has-addons .control .input.is-focused:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]),
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):active,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active,
+    html.theme--documenter-dark .field.has-addons .control .input.is-active:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]),
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):focus,
+    html.theme--documenter-dark .field.has-addons .control .select select.is-focused:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):active,
+    html.theme--documenter-dark .field.has-addons .control .select select.is-active:not([disabled]) {
+      z-index: 3; }
+      html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):focus:hover, html.theme--documenter-dark .field.has-addons .control .button.is-focused:not([disabled]):hover, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):active:hover, html.theme--documenter-dark .field.has-addons .control .button.is-active:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):focus:hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus:hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus:hover,
+      html.theme--documenter-dark .field.has-addons .control .input.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):active:hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active:hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active:hover,
+      html.theme--documenter-dark .field.has-addons .control .input.is-active:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]):hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):focus:hover,
+      html.theme--documenter-dark .field.has-addons .control .select select.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):active:hover,
+      html.theme--documenter-dark .field.has-addons .control .select select.is-active:not([disabled]):hover {
+        z-index: 4; }
+    html.theme--documenter-dark .field.has-addons .control.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .field.has-addons.has-addons-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .field.has-addons.has-addons-right {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .field.has-addons.has-addons-fullwidth .control {
+      flex-grow: 1;
+      flex-shrink: 0; }
+  html.theme--documenter-dark .field.is-grouped {
+    display: flex;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .field.is-grouped > .control {
+      flex-shrink: 0; }
+      html.theme--documenter-dark .field.is-grouped > .control:not(:last-child) {
+        margin-bottom: 0;
+        margin-right: 0.75rem; }
+      html.theme--documenter-dark .field.is-grouped > .control.is-expanded {
+        flex-grow: 1;
+        flex-shrink: 1; }
+    html.theme--documenter-dark .field.is-grouped.is-grouped-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .field.is-grouped.is-grouped-right {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .field.is-grouped.is-grouped-multiline {
+      flex-wrap: wrap; }
+      html.theme--documenter-dark .field.is-grouped.is-grouped-multiline > .control:last-child, html.theme--documenter-dark .field.is-grouped.is-grouped-multiline > .control:not(:last-child) {
+        margin-bottom: 0.75rem; }
+      html.theme--documenter-dark .field.is-grouped.is-grouped-multiline:last-child {
+        margin-bottom: -0.75rem; }
+      html.theme--documenter-dark .field.is-grouped.is-grouped-multiline:not(:last-child) {
+        margin-bottom: 0; }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .field.is-horizontal {
+      display: flex; } }
+  html.theme--documenter-dark .field-label .label {
+    font-size: inherit; }
+  @media screen and (max-width: 768px) {
+    html.theme--documenter-dark .field-label {
+      margin-bottom: 0.5rem; } }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .field-label {
+      flex-basis: 0;
+      flex-grow: 1;
+      flex-shrink: 0;
+      margin-right: 1.5rem;
+      text-align: right; }
+      html.theme--documenter-dark .field-label.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.field-label {
+        font-size: 0.85em;
+        padding-top: 0.375em; }
+      html.theme--documenter-dark .field-label.is-normal {
+        padding-top: 0.375em; }
+      html.theme--documenter-dark .field-label.is-medium {
+        font-size: 1.25rem;
+        padding-top: 0.375em; }
+      html.theme--documenter-dark .field-label.is-large {
+        font-size: 1.5rem;
+        padding-top: 0.375em; } }
+  html.theme--documenter-dark .field-body .field .field {
+    margin-bottom: 0; }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .field-body {
+      display: flex;
+      flex-basis: 0;
+      flex-grow: 5;
+      flex-shrink: 1; }
+      html.theme--documenter-dark .field-body .field {
+        margin-bottom: 0; }
+      html.theme--documenter-dark .field-body > .field {
+        flex-shrink: 1; }
+        html.theme--documenter-dark .field-body > .field:not(.is-narrow) {
+          flex-grow: 1; }
+        html.theme--documenter-dark .field-body > .field:not(:last-child) {
+          margin-right: 0.75rem; } }
+  html.theme--documenter-dark .control {
+    box-sizing: border-box;
+    clear: both;
+    font-size: 15px;
+    position: relative;
+    text-align: left; }
+    html.theme--documenter-dark .control.has-icons-left .input:focus ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input:focus ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select:focus ~ .icon, html.theme--documenter-dark .control.has-icons-right .input:focus ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input:focus ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select:focus ~ .icon {
+      color: #5e6d6f; }
+    html.theme--documenter-dark .control.has-icons-left .input.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select.is-small ~ .icon {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .control.has-icons-left .input.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-medium ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-medium ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select.is-medium ~ .icon {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .control.has-icons-left .input.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-large ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-large ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select.is-large ~ .icon {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .control.has-icons-left .icon, html.theme--documenter-dark .control.has-icons-right .icon {
+      color: #dbdee0;
+      height: 2.25em;
+      pointer-events: none;
+      position: absolute;
+      top: 0;
+      width: 2.25em;
+      z-index: 4; }
+    html.theme--documenter-dark .control.has-icons-left .input, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input,
+    html.theme--documenter-dark .control.has-icons-left .select select {
+      padding-left: 2.25em; }
+    html.theme--documenter-dark .control.has-icons-left .icon.is-left {
+      left: 0; }
+    html.theme--documenter-dark .control.has-icons-right .input, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input,
+    html.theme--documenter-dark .control.has-icons-right .select select {
+      padding-right: 2.25em; }
+    html.theme--documenter-dark .control.has-icons-right .icon.is-right {
+      right: 0; }
+    html.theme--documenter-dark .control.is-loading::after {
+      position: absolute !important;
+      right: 0.625em;
+      top: 0.625em;
+      z-index: 4; }
+    html.theme--documenter-dark .control.is-loading.is-small:after, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .control.is-loading.is-medium:after {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .control.is-loading.is-large:after {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .breadcrumb {
+    font-size: 15px;
+    white-space: nowrap; }
+    html.theme--documenter-dark .breadcrumb a {
+      align-items: center;
+      color: #1abc9c;
+      display: flex;
+      justify-content: center;
+      padding: 0 0.75em; }
+      html.theme--documenter-dark .breadcrumb a:hover {
+        color: #1dd2af; }
+    html.theme--documenter-dark .breadcrumb li {
+      align-items: center;
+      display: flex; }
+      html.theme--documenter-dark .breadcrumb li:first-child a {
+        padding-left: 0; }
+      html.theme--documenter-dark .breadcrumb li.is-active a {
+        color: #f2f2f2;
+        cursor: default;
+        pointer-events: none; }
+      html.theme--documenter-dark .breadcrumb li + li::before {
+        color: #8c9b9d;
+        content: "\0002f"; }
+    html.theme--documenter-dark .breadcrumb ul,
+    html.theme--documenter-dark .breadcrumb ol {
+      align-items: flex-start;
+      display: flex;
+      flex-wrap: wrap;
+      justify-content: flex-start; }
+    html.theme--documenter-dark .breadcrumb .icon:first-child {
+      margin-right: 0.5em; }
+    html.theme--documenter-dark .breadcrumb .icon:last-child {
+      margin-left: 0.5em; }
+    html.theme--documenter-dark .breadcrumb.is-centered ol,
+    html.theme--documenter-dark .breadcrumb.is-centered ul {
+      justify-content: center; }
+    html.theme--documenter-dark .breadcrumb.is-right ol,
+    html.theme--documenter-dark .breadcrumb.is-right ul {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .breadcrumb.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.breadcrumb {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .breadcrumb.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .breadcrumb.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .breadcrumb.has-arrow-separator li + li::before {
+      content: "\02192"; }
+    html.theme--documenter-dark .breadcrumb.has-bullet-separator li + li::before {
+      content: "\02022"; }
+    html.theme--documenter-dark .breadcrumb.has-dot-separator li + li::before {
+      content: "\000b7"; }
+    html.theme--documenter-dark .breadcrumb.has-succeeds-separator li + li::before {
+      content: "\0227B"; }
+  html.theme--documenter-dark .card {
+    background-color: white;
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+    color: #fff;
+    max-width: 100%;
+    position: relative; }
+  html.theme--documenter-dark .card-header {
+    background-color: transparent;
+    align-items: stretch;
+    box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+    display: flex; }
+  html.theme--documenter-dark .card-header-title {
+    align-items: center;
+    color: #f2f2f2;
+    display: flex;
+    flex-grow: 1;
+    font-weight: 700;
+    padding: 0.75rem; }
+    html.theme--documenter-dark .card-header-title.is-centered {
+      justify-content: center; }
+  html.theme--documenter-dark .card-header-icon {
+    align-items: center;
+    cursor: pointer;
+    display: flex;
+    justify-content: center;
+    padding: 0.75rem; }
+  html.theme--documenter-dark .card-image {
+    display: block;
+    position: relative; }
+  html.theme--documenter-dark .card-content {
+    background-color: transparent;
+    padding: 1.5rem; }
+  html.theme--documenter-dark .card-footer {
+    background-color: transparent;
+    border-top: 1px solid #5e6d6f;
+    align-items: stretch;
+    display: flex; }
+  html.theme--documenter-dark .card-footer-item {
+    align-items: center;
+    display: flex;
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 0;
+    justify-content: center;
+    padding: 0.75rem; }
+    html.theme--documenter-dark .card-footer-item:not(:last-child) {
+      border-right: 1px solid #5e6d6f; }
+  html.theme--documenter-dark .card .media:not(:last-child) {
+    margin-bottom: 1.5rem; }
+  html.theme--documenter-dark .dropdown {
+    display: inline-flex;
+    position: relative;
+    vertical-align: top; }
+    html.theme--documenter-dark .dropdown.is-active .dropdown-menu, html.theme--documenter-dark .dropdown.is-hoverable:hover .dropdown-menu {
+      display: block; }
+    html.theme--documenter-dark .dropdown.is-right .dropdown-menu {
+      left: auto;
+      right: 0; }
+    html.theme--documenter-dark .dropdown.is-up .dropdown-menu {
+      bottom: 100%;
+      padding-bottom: 4px;
+      padding-top: initial;
+      top: auto; }
+  html.theme--documenter-dark .dropdown-menu {
+    display: none;
+    left: 0;
+    min-width: 12rem;
+    padding-top: 4px;
+    position: absolute;
+    top: 100%;
+    z-index: 20; }
+  html.theme--documenter-dark .dropdown-content {
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+    padding-bottom: 0.5rem;
+    padding-top: 0.5rem; }
+  html.theme--documenter-dark .dropdown-item {
+    color: #fff;
+    display: block;
+    font-size: 0.875rem;
+    line-height: 1.5;
+    padding: 0.375rem 1rem;
+    position: relative; }
+  html.theme--documenter-dark a.dropdown-item,
+  html.theme--documenter-dark button.dropdown-item {
+    padding-right: 3rem;
+    text-align: left;
+    white-space: nowrap;
+    width: 100%; }
+    html.theme--documenter-dark a.dropdown-item:hover,
+    html.theme--documenter-dark button.dropdown-item:hover {
+      background-color: #282f2f;
+      color: #0a0a0a; }
+    html.theme--documenter-dark a.dropdown-item.is-active,
+    html.theme--documenter-dark button.dropdown-item.is-active {
+      background-color: #1abc9c;
+      color: #fff; }
+  html.theme--documenter-dark .dropdown-divider {
+    background-color: #5e6d6f;
+    border: none;
+    display: block;
+    height: 1px;
+    margin: 0.5rem 0; }
+  html.theme--documenter-dark .level {
+    align-items: center;
+    justify-content: space-between; }
+    html.theme--documenter-dark .level code {
+      border-radius: 0.4em; }
+    html.theme--documenter-dark .level img {
+      display: inline-block;
+      vertical-align: top; }
+    html.theme--documenter-dark .level.is-mobile {
+      display: flex; }
+      html.theme--documenter-dark .level.is-mobile .level-left,
+      html.theme--documenter-dark .level.is-mobile .level-right {
+        display: flex; }
+      html.theme--documenter-dark .level.is-mobile .level-left + .level-right {
+        margin-top: 0; }
+      html.theme--documenter-dark .level.is-mobile .level-item:not(:last-child) {
+        margin-bottom: 0;
+        margin-right: 0.75rem; }
+      html.theme--documenter-dark .level.is-mobile .level-item:not(.is-narrow) {
+        flex-grow: 1; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level {
+        display: flex; }
+        html.theme--documenter-dark .level > .level-item:not(.is-narrow) {
+          flex-grow: 1; } }
+  html.theme--documenter-dark .level-item {
+    align-items: center;
+    display: flex;
+    flex-basis: auto;
+    flex-grow: 0;
+    flex-shrink: 0;
+    justify-content: center; }
+    html.theme--documenter-dark .level-item .title,
+    html.theme--documenter-dark .level-item .subtitle {
+      margin-bottom: 0; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .level-item:not(:last-child) {
+        margin-bottom: 0.75rem; } }
+  html.theme--documenter-dark .level-left,
+  html.theme--documenter-dark .level-right {
+    flex-basis: auto;
+    flex-grow: 0;
+    flex-shrink: 0; }
+    html.theme--documenter-dark .level-left .level-item.is-flexible,
+    html.theme--documenter-dark .level-right .level-item.is-flexible {
+      flex-grow: 1; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level-left .level-item:not(:last-child),
+      html.theme--documenter-dark .level-right .level-item:not(:last-child) {
+        margin-right: 0.75rem; } }
+  html.theme--documenter-dark .level-left {
+    align-items: center;
+    justify-content: flex-start; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .level-left + .level-right {
+        margin-top: 1.5rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level-left {
+        display: flex; } }
+  html.theme--documenter-dark .level-right {
+    align-items: center;
+    justify-content: flex-end; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level-right {
+        display: flex; } }
+  html.theme--documenter-dark .list {
+    background-color: white;
+    border-radius: 0.4em;
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); }
+  html.theme--documenter-dark .list-item {
+    display: block;
+    padding: 0.5em 1em; }
+    html.theme--documenter-dark .list-item:not(a) {
+      color: #fff; }
+    html.theme--documenter-dark .list-item:first-child {
+      border-top-left-radius: 0.4em;
+      border-top-right-radius: 0.4em; }
+    html.theme--documenter-dark .list-item:last-child {
+      border-bottom-left-radius: 0.4em;
+      border-bottom-right-radius: 0.4em; }
+    html.theme--documenter-dark .list-item:not(:last-child) {
+      border-bottom: 1px solid #5e6d6f; }
+    html.theme--documenter-dark .list-item.is-active {
+      background-color: #1abc9c;
+      color: #fff; }
+  html.theme--documenter-dark a.list-item {
+    background-color: #282f2f;
+    cursor: pointer; }
+  html.theme--documenter-dark .media {
+    align-items: flex-start;
+    display: flex;
+    text-align: left; }
+    html.theme--documenter-dark .media .content:not(:last-child) {
+      margin-bottom: 0.75rem; }
+    html.theme--documenter-dark .media .media {
+      border-top: 1px solid rgba(94, 109, 111, 0.5);
+      display: flex;
+      padding-top: 0.75rem; }
+      html.theme--documenter-dark .media .media .content:not(:last-child),
+      html.theme--documenter-dark .media .media .control:not(:last-child) {
+        margin-bottom: 0.5rem; }
+      html.theme--documenter-dark .media .media .media {
+        padding-top: 0.5rem; }
+        html.theme--documenter-dark .media .media .media + .media {
+          margin-top: 0.5rem; }
+    html.theme--documenter-dark .media + .media {
+      border-top: 1px solid rgba(94, 109, 111, 0.5);
+      margin-top: 1rem;
+      padding-top: 1rem; }
+    html.theme--documenter-dark .media.is-large + .media {
+      margin-top: 1.5rem;
+      padding-top: 1.5rem; }
+  html.theme--documenter-dark .media-left,
+  html.theme--documenter-dark .media-right {
+    flex-basis: auto;
+    flex-grow: 0;
+    flex-shrink: 0; }
+  html.theme--documenter-dark .media-left {
+    margin-right: 1rem; }
+  html.theme--documenter-dark .media-right {
+    margin-left: 1rem; }
+  html.theme--documenter-dark .media-content {
+    flex-basis: auto;
+    flex-grow: 1;
+    flex-shrink: 1;
+    text-align: left; }
+  @media screen and (max-width: 768px) {
+    html.theme--documenter-dark .media-content {
+      overflow-x: auto; } }
+  html.theme--documenter-dark .menu {
+    font-size: 15px; }
+    html.theme--documenter-dark .menu.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.menu {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .menu.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .menu.is-large {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .menu-list {
+    line-height: 1.25; }
+    html.theme--documenter-dark .menu-list a {
+      border-radius: 3px;
+      color: #fff;
+      display: block;
+      padding: 0.5em 0.75em; }
+      html.theme--documenter-dark .menu-list a:hover {
+        background-color: #282f2f;
+        color: #f2f2f2; }
+      html.theme--documenter-dark .menu-list a.is-active {
+        background-color: #1abc9c;
+        color: #fff; }
+    html.theme--documenter-dark .menu-list li ul {
+      border-left: 1px solid #5e6d6f;
+      margin: 0.75em;
+      padding-left: 0.75em; }
+  html.theme--documenter-dark .menu-label {
+    color: white;
+    font-size: 0.75em;
+    letter-spacing: 0.1em;
+    text-transform: uppercase; }
+    html.theme--documenter-dark .menu-label:not(:first-child) {
+      margin-top: 1em; }
+    html.theme--documenter-dark .menu-label:not(:last-child) {
+      margin-bottom: 1em; }
+  html.theme--documenter-dark .message {
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    font-size: 15px; }
+    html.theme--documenter-dark .message strong {
+      color: currentColor; }
+    html.theme--documenter-dark .message a:not(.button):not(.tag):not(.dropdown-item) {
+      color: currentColor;
+      text-decoration: underline; }
+    html.theme--documenter-dark .message.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.message {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .message.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .message.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .message.is-white {
+      background-color: white; }
+      html.theme--documenter-dark .message.is-white .message-header {
+        background-color: white;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .message.is-white .message-body {
+        border-color: white;
+        color: #4d4d4d; }
+    html.theme--documenter-dark .message.is-black {
+      background-color: #fafafa; }
+      html.theme--documenter-dark .message.is-black .message-header {
+        background-color: #0a0a0a;
+        color: white; }
+      html.theme--documenter-dark .message.is-black .message-body {
+        border-color: #0a0a0a;
+        color: #090909; }
+    html.theme--documenter-dark .message.is-light {
+      background-color: #f9fafb; }
+      html.theme--documenter-dark .message.is-light .message-header {
+        background-color: #ecf0f1;
+        color: #282f2f; }
+      html.theme--documenter-dark .message.is-light .message-body {
+        border-color: #ecf0f1;
+        color: #505050; }
+    html.theme--documenter-dark .message.is-dark, html.theme--documenter-dark .content kbd.message {
+      background-color: #f9fafa; }
+      html.theme--documenter-dark .message.is-dark .message-header, html.theme--documenter-dark .content kbd.message .message-header {
+        background-color: #282f2f;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .message.is-dark .message-body, html.theme--documenter-dark .content kbd.message .message-body {
+        border-color: #282f2f;
+        color: #212526; }
+    html.theme--documenter-dark .message.is-primary, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink {
+      background-color: #f8fafc; }
+      html.theme--documenter-dark .message.is-primary .message-header, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink .message-header {
+        background-color: #375a7f;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-primary .message-body, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink .message-body {
+        border-color: #375a7f;
+        color: #2b4159; }
+    html.theme--documenter-dark .message.is-link {
+      background-color: #f6fefc; }
+      html.theme--documenter-dark .message.is-link .message-header {
+        background-color: #1abc9c;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-link .message-body {
+        border-color: #1abc9c;
+        color: #0b2f28; }
+    html.theme--documenter-dark .message.is-info {
+      background-color: #f5fbff; }
+      html.theme--documenter-dark .message.is-info .message-header {
+        background-color: #024c7d;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-info .message-body {
+        border-color: #024c7d;
+        color: #033659; }
+    html.theme--documenter-dark .message.is-success {
+      background-color: #f5fff9; }
+      html.theme--documenter-dark .message.is-success .message-header {
+        background-color: #008438;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-success .message-body {
+        border-color: #008438;
+        color: #023518; }
+    html.theme--documenter-dark .message.is-warning {
+      background-color: #fffcf5; }
+      html.theme--documenter-dark .message.is-warning .message-header {
+        background-color: #ad8100;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-warning .message-body {
+        border-color: #ad8100;
+        color: #3d2e03; }
+    html.theme--documenter-dark .message.is-danger {
+      background-color: #fef6f6; }
+      html.theme--documenter-dark .message.is-danger .message-header {
+        background-color: #9e1b0d;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-danger .message-body {
+        border-color: #9e1b0d;
+        color: #7a170c; }
+  html.theme--documenter-dark .message-header {
+    align-items: center;
+    background-color: #fff;
+    border-radius: 0.4em 0.4em 0 0;
+    color: rgba(0, 0, 0, 0.7);
+    display: flex;
+    font-weight: 700;
+    justify-content: space-between;
+    line-height: 1.25;
+    padding: 0.75em 1em;
+    position: relative; }
+    html.theme--documenter-dark .message-header .delete {
+      flex-grow: 0;
+      flex-shrink: 0;
+      margin-left: 0.75em; }
+    html.theme--documenter-dark .message-header + .message-body {
+      border-width: 0;
+      border-top-left-radius: 0;
+      border-top-right-radius: 0; }
+  html.theme--documenter-dark .message-body {
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    border-style: solid;
+    border-width: 0 0 0 4px;
+    color: #fff;
+    padding: 1.25em 1.5em; }
+    html.theme--documenter-dark .message-body code,
+    html.theme--documenter-dark .message-body pre {
+      background-color: white; }
+    html.theme--documenter-dark .message-body pre code {
+      background-color: transparent; }
+  html.theme--documenter-dark .modal {
+    align-items: center;
+    display: none;
+    flex-direction: column;
+    justify-content: center;
+    overflow: hidden;
+    position: fixed;
+    z-index: 40; }
+    html.theme--documenter-dark .modal.is-active {
+      display: flex; }
+  html.theme--documenter-dark .modal-background {
+    background-color: rgba(10, 10, 10, 0.86); }
+  html.theme--documenter-dark .modal-content,
+  html.theme--documenter-dark .modal-card {
+    margin: 0 20px;
+    max-height: calc(100vh - 160px);
+    overflow: auto;
+    position: relative;
+    width: 100%; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .modal-content,
+      html.theme--documenter-dark .modal-card {
+        margin: 0 auto;
+        max-height: calc(100vh - 40px);
+        width: 640px; } }
+  html.theme--documenter-dark .modal-close {
+    background: none;
+    height: 40px;
+    position: fixed;
+    right: 20px;
+    top: 20px;
+    width: 40px; }
+  html.theme--documenter-dark .modal-card {
+    display: flex;
+    flex-direction: column;
+    max-height: calc(100vh - 40px);
+    overflow: hidden;
+    -ms-overflow-y: visible; }
+  html.theme--documenter-dark .modal-card-head,
+  html.theme--documenter-dark .modal-card-foot {
+    align-items: center;
+    background-color: #282f2f;
+    display: flex;
+    flex-shrink: 0;
+    justify-content: flex-start;
+    padding: 20px;
+    position: relative; }
+  html.theme--documenter-dark .modal-card-head {
+    border-bottom: 1px solid #5e6d6f;
+    border-top-left-radius: 8px;
+    border-top-right-radius: 8px; }
+  html.theme--documenter-dark .modal-card-title {
+    color: #f2f2f2;
+    flex-grow: 1;
+    flex-shrink: 0;
+    font-size: 1.5rem;
+    line-height: 1; }
+  html.theme--documenter-dark .modal-card-foot {
+    border-bottom-left-radius: 8px;
+    border-bottom-right-radius: 8px;
+    border-top: 1px solid #5e6d6f; }
+    html.theme--documenter-dark .modal-card-foot .button:not(:last-child) {
+      margin-right: 0.5em; }
+  html.theme--documenter-dark .modal-card-body {
+    -webkit-overflow-scrolling: touch;
+    background-color: white;
+    flex-grow: 1;
+    flex-shrink: 1;
+    overflow: auto;
+    padding: 20px; }
+  html.theme--documenter-dark .navbar {
+    background-color: #375a7f;
+    min-height: 4rem;
+    position: relative;
+    z-index: 30; }
+    html.theme--documenter-dark .navbar.is-white {
+      background-color: white;
+      color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link {
+        color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link.is-active {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link::after {
+        border-color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-burger {
+        color: #0a0a0a; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-white .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link {
+          color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link.is-active {
+          background-color: #f2f2f2;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link::after {
+          border-color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #f2f2f2;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-dropdown a.navbar-item.is-active {
+          background-color: white;
+          color: #0a0a0a; } }
+    html.theme--documenter-dark .navbar.is-black {
+      background-color: #0a0a0a;
+      color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link {
+        color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link.is-active {
+        background-color: black;
+        color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link::after {
+        border-color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-burger {
+        color: white; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-black .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link {
+          color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link.is-active {
+          background-color: black;
+          color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link::after {
+          border-color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: black;
+          color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-dropdown a.navbar-item.is-active {
+          background-color: #0a0a0a;
+          color: white; } }
+    html.theme--documenter-dark .navbar.is-light {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link {
+        color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link.is-active {
+        background-color: #dde4e6;
+        color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link::after {
+        border-color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-burger {
+        color: #282f2f; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-light .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link {
+          color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link.is-active {
+          background-color: #dde4e6;
+          color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link::after {
+          border-color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #dde4e6;
+          color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-dropdown a.navbar-item.is-active {
+          background-color: #ecf0f1;
+          color: #282f2f; } }
+    html.theme--documenter-dark .navbar.is-dark, html.theme--documenter-dark .content kbd.navbar {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand > .navbar-item, html.theme--documenter-dark .content kbd.navbar .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link {
+        color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link.is-active,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link.is-active {
+        background-color: #1d2122;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link::after, html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link::after {
+        border-color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-burger, html.theme--documenter-dark .content kbd.navbar .navbar-burger {
+        color: #ecf0f1; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-dark .navbar-start > .navbar-item, html.theme--documenter-dark .content kbd.navbar .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > .navbar-item,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link {
+          color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link.is-active,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link.is-active {
+          background-color: #1d2122;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link::after, html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link::after,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link::after {
+          border-color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown.is-active .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #1d2122;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-dropdown a.navbar-item.is-active {
+          background-color: #282f2f;
+          color: #ecf0f1; } }
+    html.theme--documenter-dark .navbar.is-primary, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink {
+      background-color: #375a7f;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand > .navbar-item, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link.is-active,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link.is-active {
+        background-color: #2f4d6d;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link::after, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-burger, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-primary .navbar-start > .navbar-item, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > .navbar-item,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link.is-active,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link.is-active {
+          background-color: #2f4d6d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link::after, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link::after,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown.is-active .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #2f4d6d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active {
+          background-color: #375a7f;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-link {
+      background-color: #1abc9c;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link.is-active {
+        background-color: #17a689;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-link .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link.is-active {
+          background-color: #17a689;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #17a689;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-dropdown a.navbar-item.is-active {
+          background-color: #1abc9c;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-info {
+      background-color: #024c7d;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link.is-active {
+        background-color: #023d64;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-info .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link.is-active {
+          background-color: #023d64;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #023d64;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-dropdown a.navbar-item.is-active {
+          background-color: #024c7d;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-success {
+      background-color: #008438;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link.is-active {
+        background-color: #006b2d;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-success .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link.is-active {
+          background-color: #006b2d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #006b2d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-dropdown a.navbar-item.is-active {
+          background-color: #008438;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-warning {
+      background-color: #ad8100;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link.is-active {
+        background-color: #946e00;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-warning .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link.is-active {
+          background-color: #946e00;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #946e00;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-dropdown a.navbar-item.is-active {
+          background-color: #ad8100;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-danger {
+      background-color: #9e1b0d;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link.is-active {
+        background-color: #86170b;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-danger .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link.is-active {
+          background-color: #86170b;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #86170b;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-dropdown a.navbar-item.is-active {
+          background-color: #9e1b0d;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar > .container {
+      align-items: stretch;
+      display: flex;
+      min-height: 4rem;
+      width: 100%; }
+    html.theme--documenter-dark .navbar.has-shadow {
+      box-shadow: 0 2px 0 0 #282f2f; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom, html.theme--documenter-dark .navbar.is-fixed-top {
+      left: 0;
+      position: fixed;
+      right: 0;
+      z-index: 30; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom {
+      bottom: 0; }
+      html.theme--documenter-dark .navbar.is-fixed-bottom.has-shadow {
+        box-shadow: 0 -2px 0 0 #282f2f; }
+    html.theme--documenter-dark .navbar.is-fixed-top {
+      top: 0; }
+  html.theme--documenter-dark html.has-navbar-fixed-top,
+  html.theme--documenter-dark body.has-navbar-fixed-top {
+    padding-top: 4rem; }
+  html.theme--documenter-dark html.has-navbar-fixed-bottom,
+  html.theme--documenter-dark body.has-navbar-fixed-bottom {
+    padding-bottom: 4rem; }
+  html.theme--documenter-dark .navbar-brand,
+  html.theme--documenter-dark .navbar-tabs {
+    align-items: stretch;
+    display: flex;
+    flex-shrink: 0;
+    min-height: 4rem; }
+  html.theme--documenter-dark .navbar-brand a.navbar-item:focus, html.theme--documenter-dark .navbar-brand a.navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .navbar-tabs {
+    -webkit-overflow-scrolling: touch;
+    max-width: 100vw;
+    overflow-x: auto;
+    overflow-y: hidden; }
+  html.theme--documenter-dark .navbar-burger {
+    color: #fff;
+    cursor: pointer;
+    display: block;
+    height: 4rem;
+    position: relative;
+    width: 4rem;
+    margin-left: auto; }
+    html.theme--documenter-dark .navbar-burger span {
+      background-color: currentColor;
+      display: block;
+      height: 1px;
+      left: calc(50% - 8px);
+      position: absolute;
+      transform-origin: center;
+      transition-duration: 86ms;
+      transition-property: background-color, opacity, transform;
+      transition-timing-function: ease-out;
+      width: 16px; }
+      html.theme--documenter-dark .navbar-burger span:nth-child(1) {
+        top: calc(50% - 6px); }
+      html.theme--documenter-dark .navbar-burger span:nth-child(2) {
+        top: calc(50% - 1px); }
+      html.theme--documenter-dark .navbar-burger span:nth-child(3) {
+        top: calc(50% + 4px); }
+    html.theme--documenter-dark .navbar-burger:hover {
+      background-color: rgba(0, 0, 0, 0.05); }
+    html.theme--documenter-dark .navbar-burger.is-active span:nth-child(1) {
+      transform: translateY(5px) rotate(45deg); }
+    html.theme--documenter-dark .navbar-burger.is-active span:nth-child(2) {
+      opacity: 0; }
+    html.theme--documenter-dark .navbar-burger.is-active span:nth-child(3) {
+      transform: translateY(-5px) rotate(-45deg); }
+  html.theme--documenter-dark .navbar-menu {
+    display: none; }
+  html.theme--documenter-dark .navbar-item,
+  html.theme--documenter-dark .navbar-link {
+    color: #fff;
+    display: block;
+    line-height: 1.5;
+    padding: 0.5rem 0.75rem;
+    position: relative; }
+    html.theme--documenter-dark .navbar-item .icon:only-child,
+    html.theme--documenter-dark .navbar-link .icon:only-child {
+      margin-left: -0.25rem;
+      margin-right: -0.25rem; }
+  html.theme--documenter-dark a.navbar-item,
+  html.theme--documenter-dark .navbar-link {
+    cursor: pointer; }
+    html.theme--documenter-dark a.navbar-item:focus, html.theme--documenter-dark a.navbar-item:focus-within, html.theme--documenter-dark a.navbar-item:hover, html.theme--documenter-dark a.navbar-item.is-active,
+    html.theme--documenter-dark .navbar-link:focus,
+    html.theme--documenter-dark .navbar-link:focus-within,
+    html.theme--documenter-dark .navbar-link:hover,
+    html.theme--documenter-dark .navbar-link.is-active {
+      background-color: transparent;
+      color: #1abc9c; }
+  html.theme--documenter-dark .navbar-item {
+    display: block;
+    flex-grow: 0;
+    flex-shrink: 0; }
+    html.theme--documenter-dark .navbar-item img {
+      max-height: 1.75rem; }
+    html.theme--documenter-dark .navbar-item.has-dropdown {
+      padding: 0; }
+    html.theme--documenter-dark .navbar-item.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .navbar-item.is-tab {
+      border-bottom: 1px solid transparent;
+      min-height: 4rem;
+      padding-bottom: calc(0.5rem - 1px); }
+      html.theme--documenter-dark .navbar-item.is-tab:focus, html.theme--documenter-dark .navbar-item.is-tab:hover {
+        background-color: transparent;
+        border-bottom-color: #1abc9c; }
+      html.theme--documenter-dark .navbar-item.is-tab.is-active {
+        background-color: transparent;
+        border-bottom-color: #1abc9c;
+        border-bottom-style: solid;
+        border-bottom-width: 3px;
+        color: #1abc9c;
+        padding-bottom: calc(0.5rem - 3px); }
+  html.theme--documenter-dark .navbar-content {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  html.theme--documenter-dark .navbar-link:not(.is-arrowless) {
+    padding-right: 2.5em; }
+    html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after {
+      border-color: #fff;
+      margin-top: -0.375em;
+      right: 1.125em; }
+  html.theme--documenter-dark .navbar-dropdown {
+    font-size: 0.875rem;
+    padding-bottom: 0.5rem;
+    padding-top: 0.5rem; }
+    html.theme--documenter-dark .navbar-dropdown .navbar-item {
+      padding-left: 1.5rem;
+      padding-right: 1.5rem; }
+  html.theme--documenter-dark .navbar-divider {
+    background-color: rgba(0, 0, 0, 0.2);
+    border: none;
+    display: none;
+    height: 2px;
+    margin: 0.5rem 0; }
+  @media screen and (max-width: 1055px) {
+    html.theme--documenter-dark .navbar > .container {
+      display: block; }
+    html.theme--documenter-dark .navbar-brand .navbar-item,
+    html.theme--documenter-dark .navbar-tabs .navbar-item {
+      align-items: center;
+      display: flex; }
+    html.theme--documenter-dark .navbar-link::after {
+      display: none; }
+    html.theme--documenter-dark .navbar-menu {
+      background-color: #375a7f;
+      box-shadow: 0 8px 16px rgba(10, 10, 10, 0.1);
+      padding: 0.5rem 0; }
+      html.theme--documenter-dark .navbar-menu.is-active {
+        display: block; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-touch, html.theme--documenter-dark .navbar.is-fixed-top-touch {
+      left: 0;
+      position: fixed;
+      right: 0;
+      z-index: 30; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-touch {
+      bottom: 0; }
+      html.theme--documenter-dark .navbar.is-fixed-bottom-touch.has-shadow {
+        box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+    html.theme--documenter-dark .navbar.is-fixed-top-touch {
+      top: 0; }
+    html.theme--documenter-dark .navbar.is-fixed-top .navbar-menu, html.theme--documenter-dark .navbar.is-fixed-top-touch .navbar-menu {
+      -webkit-overflow-scrolling: touch;
+      max-height: calc(100vh - 4rem);
+      overflow: auto; }
+    html.theme--documenter-dark html.has-navbar-fixed-top-touch,
+    html.theme--documenter-dark body.has-navbar-fixed-top-touch {
+      padding-top: 4rem; }
+    html.theme--documenter-dark html.has-navbar-fixed-bottom-touch,
+    html.theme--documenter-dark body.has-navbar-fixed-bottom-touch {
+      padding-bottom: 4rem; } }
+  @media screen and (min-width: 1056px) {
+    html.theme--documenter-dark .navbar,
+    html.theme--documenter-dark .navbar-menu,
+    html.theme--documenter-dark .navbar-start,
+    html.theme--documenter-dark .navbar-end {
+      align-items: stretch;
+      display: flex; }
+    html.theme--documenter-dark .navbar {
+      min-height: 4rem; }
+      html.theme--documenter-dark .navbar.is-spaced {
+        padding: 1rem 2rem; }
+        html.theme--documenter-dark .navbar.is-spaced .navbar-start,
+        html.theme--documenter-dark .navbar.is-spaced .navbar-end {
+          align-items: center; }
+        html.theme--documenter-dark .navbar.is-spaced a.navbar-item,
+        html.theme--documenter-dark .navbar.is-spaced .navbar-link {
+          border-radius: 0.4em; }
+      html.theme--documenter-dark .navbar.is-transparent a.navbar-item:focus, html.theme--documenter-dark .navbar.is-transparent a.navbar-item:hover, html.theme--documenter-dark .navbar.is-transparent a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-transparent .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-transparent .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-transparent .navbar-link.is-active {
+        background-color: transparent !important; }
+      html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-active .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus-within .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:hover .navbar-link {
+        background-color: transparent !important; }
+      html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item:focus, html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item:hover {
+        background-color: transparent;
+        color: #dbdee0; }
+      html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item.is-active {
+        background-color: transparent;
+        color: #1abc9c; }
+    html.theme--documenter-dark .navbar-burger {
+      display: none; }
+    html.theme--documenter-dark .navbar-item,
+    html.theme--documenter-dark .navbar-link {
+      align-items: center;
+      display: flex; }
+    html.theme--documenter-dark .navbar-item {
+      display: flex; }
+      html.theme--documenter-dark .navbar-item.has-dropdown {
+        align-items: stretch; }
+      html.theme--documenter-dark .navbar-item.has-dropdown-up .navbar-link::after {
+        transform: rotate(135deg) translate(0.25em, -0.25em); }
+      html.theme--documenter-dark .navbar-item.has-dropdown-up .navbar-dropdown {
+        border-bottom: 1px solid rgba(0, 0, 0, 0.2);
+        border-radius: 8px 8px 0 0;
+        border-top: none;
+        bottom: 100%;
+        box-shadow: 0 -8px 8px rgba(10, 10, 10, 0.1);
+        top: auto; }
+      html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown {
+        display: block; }
+        .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed {
+          opacity: 1;
+          pointer-events: auto;
+          transform: translateY(0); }
+    html.theme--documenter-dark .navbar-menu {
+      flex-grow: 1;
+      flex-shrink: 0; }
+    html.theme--documenter-dark .navbar-start {
+      justify-content: flex-start;
+      margin-right: auto; }
+    html.theme--documenter-dark .navbar-end {
+      justify-content: flex-end;
+      margin-left: auto; }
+    html.theme--documenter-dark .navbar-dropdown {
+      background-color: #375a7f;
+      border-bottom-left-radius: 8px;
+      border-bottom-right-radius: 8px;
+      border-top: 1px solid rgba(0, 0, 0, 0.2);
+      box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1);
+      display: none;
+      font-size: 0.875rem;
+      left: 0;
+      min-width: 100%;
+      position: absolute;
+      top: 100%;
+      z-index: 20; }
+      html.theme--documenter-dark .navbar-dropdown .navbar-item {
+        padding: 0.375rem 1rem;
+        white-space: nowrap; }
+      html.theme--documenter-dark .navbar-dropdown a.navbar-item {
+        padding-right: 3rem; }
+        html.theme--documenter-dark .navbar-dropdown a.navbar-item:focus, html.theme--documenter-dark .navbar-dropdown a.navbar-item:hover {
+          background-color: transparent;
+          color: #dbdee0; }
+        html.theme--documenter-dark .navbar-dropdown a.navbar-item.is-active {
+          background-color: transparent;
+          color: #1abc9c; }
+      .navbar.is-spaced html.theme--documenter-dark .navbar-dropdown, html.theme--documenter-dark .navbar-dropdown.is-boxed {
+        border-radius: 8px;
+        border-top: none;
+        box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+        display: block;
+        opacity: 0;
+        pointer-events: none;
+        top: calc(100% + (-4px));
+        transform: translateY(-5px);
+        transition-duration: 86ms;
+        transition-property: opacity, transform; }
+      html.theme--documenter-dark .navbar-dropdown.is-right {
+        left: auto;
+        right: 0; }
+    html.theme--documenter-dark .navbar-divider {
+      display: block; }
+    html.theme--documenter-dark .navbar > .container .navbar-brand,
+    html.theme--documenter-dark .container > .navbar .navbar-brand {
+      margin-left: -.75rem; }
+    html.theme--documenter-dark .navbar > .container .navbar-menu,
+    html.theme--documenter-dark .container > .navbar .navbar-menu {
+      margin-right: -.75rem; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-desktop, html.theme--documenter-dark .navbar.is-fixed-top-desktop {
+      left: 0;
+      position: fixed;
+      right: 0;
+      z-index: 30; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-desktop {
+      bottom: 0; }
+      html.theme--documenter-dark .navbar.is-fixed-bottom-desktop.has-shadow {
+        box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+    html.theme--documenter-dark .navbar.is-fixed-top-desktop {
+      top: 0; }
+    html.theme--documenter-dark html.has-navbar-fixed-top-desktop,
+    html.theme--documenter-dark body.has-navbar-fixed-top-desktop {
+      padding-top: 4rem; }
+    html.theme--documenter-dark html.has-navbar-fixed-bottom-desktop,
+    html.theme--documenter-dark body.has-navbar-fixed-bottom-desktop {
+      padding-bottom: 4rem; }
+    html.theme--documenter-dark html.has-spaced-navbar-fixed-top,
+    html.theme--documenter-dark body.has-spaced-navbar-fixed-top {
+      padding-top: 6rem; }
+    html.theme--documenter-dark html.has-spaced-navbar-fixed-bottom,
+    html.theme--documenter-dark body.has-spaced-navbar-fixed-bottom {
+      padding-bottom: 6rem; }
+    html.theme--documenter-dark a.navbar-item.is-active,
+    html.theme--documenter-dark .navbar-link.is-active {
+      color: #1abc9c; }
+    html.theme--documenter-dark a.navbar-item.is-active:not(:focus):not(:hover),
+    html.theme--documenter-dark .navbar-link.is-active:not(:focus):not(:hover) {
+      background-color: transparent; }
+    html.theme--documenter-dark .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .navbar-item.has-dropdown:hover .navbar-link, html.theme--documenter-dark .navbar-item.has-dropdown.is-active .navbar-link {
+      background-color: transparent; } }
+  html.theme--documenter-dark .hero.is-fullheight-with-navbar {
+    min-height: calc(100vh - 4rem); }
+  html.theme--documenter-dark .pagination {
+    font-size: 15px;
+    margin: -0.25rem; }
+    html.theme--documenter-dark .pagination.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .pagination.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .pagination.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .pagination.is-rounded .pagination-previous, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-previous,
+    html.theme--documenter-dark .pagination.is-rounded .pagination-next,
+    html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-next {
+      padding-left: 1em;
+      padding-right: 1em;
+      border-radius: 290486px; }
+    html.theme--documenter-dark .pagination.is-rounded .pagination-link, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-link {
+      border-radius: 290486px; }
+  html.theme--documenter-dark .pagination,
+  html.theme--documenter-dark .pagination-list {
+    align-items: center;
+    display: flex;
+    justify-content: center;
+    text-align: center; }
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark .pagination-ellipsis {
+    font-size: 1em;
+    justify-content: center;
+    margin: 0.25rem;
+    padding-left: 0.5em;
+    padding-right: 0.5em;
+    text-align: center; }
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-link {
+    border-color: #5e6d6f;
+    color: #1abc9c;
+    min-width: 2.25em; }
+    html.theme--documenter-dark .pagination-previous:hover,
+    html.theme--documenter-dark .pagination-next:hover,
+    html.theme--documenter-dark .pagination-link:hover {
+      border-color: #8c9b9d;
+      color: #1dd2af; }
+    html.theme--documenter-dark .pagination-previous:focus,
+    html.theme--documenter-dark .pagination-next:focus,
+    html.theme--documenter-dark .pagination-link:focus {
+      border-color: #8c9b9d; }
+    html.theme--documenter-dark .pagination-previous:active,
+    html.theme--documenter-dark .pagination-next:active,
+    html.theme--documenter-dark .pagination-link:active {
+      box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2); }
+    html.theme--documenter-dark .pagination-previous[disabled],
+    html.theme--documenter-dark .pagination-next[disabled],
+    html.theme--documenter-dark .pagination-link[disabled] {
+      background-color: #dbdee0;
+      border-color: #dbdee0;
+      box-shadow: none;
+      color: #5e6d6f;
+      opacity: 0.5; }
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .pagination-next {
+    padding-left: 0.75em;
+    padding-right: 0.75em;
+    white-space: nowrap; }
+  html.theme--documenter-dark .pagination-link.is-current {
+    background-color: #1abc9c;
+    border-color: #1abc9c;
+    color: #fff; }
+  html.theme--documenter-dark .pagination-ellipsis {
+    color: #8c9b9d;
+    pointer-events: none; }
+  html.theme--documenter-dark .pagination-list {
+    flex-wrap: wrap; }
+  @media screen and (max-width: 768px) {
+    html.theme--documenter-dark .pagination {
+      flex-wrap: wrap; }
+    html.theme--documenter-dark .pagination-previous,
+    html.theme--documenter-dark .pagination-next {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .pagination-list li {
+      flex-grow: 1;
+      flex-shrink: 1; } }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .pagination-list {
+      flex-grow: 1;
+      flex-shrink: 1;
+      justify-content: flex-start;
+      order: 1; }
+    html.theme--documenter-dark .pagination-previous {
+      order: 2; }
+    html.theme--documenter-dark .pagination-next {
+      order: 3; }
+    html.theme--documenter-dark .pagination {
+      justify-content: space-between; }
+      html.theme--documenter-dark .pagination.is-centered .pagination-previous {
+        order: 1; }
+      html.theme--documenter-dark .pagination.is-centered .pagination-list {
+        justify-content: center;
+        order: 2; }
+      html.theme--documenter-dark .pagination.is-centered .pagination-next {
+        order: 3; }
+      html.theme--documenter-dark .pagination.is-right .pagination-previous {
+        order: 1; }
+      html.theme--documenter-dark .pagination.is-right .pagination-next {
+        order: 2; }
+      html.theme--documenter-dark .pagination.is-right .pagination-list {
+        justify-content: flex-end;
+        order: 3; } }
+  html.theme--documenter-dark .panel {
+    font-size: 15px; }
+    html.theme--documenter-dark .panel:not(:last-child) {
+      margin-bottom: 1.5rem; }
+  html.theme--documenter-dark .panel-heading,
+  html.theme--documenter-dark .panel-tabs,
+  html.theme--documenter-dark .panel-block {
+    border-bottom: 1px solid #5e6d6f;
+    border-left: 1px solid #5e6d6f;
+    border-right: 1px solid #5e6d6f; }
+    html.theme--documenter-dark .panel-heading:first-child,
+    html.theme--documenter-dark .panel-tabs:first-child,
+    html.theme--documenter-dark .panel-block:first-child {
+      border-top: 1px solid #5e6d6f; }
+  html.theme--documenter-dark .panel-heading {
+    background-color: #282f2f;
+    border-radius: 0.4em 0.4em 0 0;
+    color: #f2f2f2;
+    font-size: 1.25em;
+    font-weight: 300;
+    line-height: 1.25;
+    padding: 0.5em 0.75em; }
+  html.theme--documenter-dark .panel-tabs {
+    align-items: flex-end;
+    display: flex;
+    font-size: 0.875em;
+    justify-content: center; }
+    html.theme--documenter-dark .panel-tabs a {
+      border-bottom: 1px solid #5e6d6f;
+      margin-bottom: -1px;
+      padding: 0.5em; }
+      html.theme--documenter-dark .panel-tabs a.is-active {
+        border-bottom-color: #343c3d;
+        color: #17a689; }
+  html.theme--documenter-dark .panel-list a {
+    color: #fff; }
+    html.theme--documenter-dark .panel-list a:hover {
+      color: #1abc9c; }
+  html.theme--documenter-dark .panel-block {
+    align-items: center;
+    color: #f2f2f2;
+    display: flex;
+    justify-content: flex-start;
+    padding: 0.5em 0.75em; }
+    html.theme--documenter-dark .panel-block input[type="checkbox"] {
+      margin-right: 0.75em; }
+    html.theme--documenter-dark .panel-block > .control {
+      flex-grow: 1;
+      flex-shrink: 1;
+      width: 100%; }
+    html.theme--documenter-dark .panel-block.is-wrapped {
+      flex-wrap: wrap; }
+    html.theme--documenter-dark .panel-block.is-active {
+      border-left-color: #1abc9c;
+      color: #17a689; }
+      html.theme--documenter-dark .panel-block.is-active .panel-icon {
+        color: #1abc9c; }
+  html.theme--documenter-dark a.panel-block,
+  html.theme--documenter-dark label.panel-block {
+    cursor: pointer; }
+    html.theme--documenter-dark a.panel-block:hover,
+    html.theme--documenter-dark label.panel-block:hover {
+      background-color: #282f2f; }
+  html.theme--documenter-dark .panel-icon {
+    display: inline-block;
+    font-size: 14px;
+    height: 1em;
+    line-height: 1em;
+    text-align: center;
+    vertical-align: top;
+    width: 1em;
+    color: white;
+    margin-right: 0.75em; }
+    html.theme--documenter-dark .panel-icon .fa {
+      font-size: inherit;
+      line-height: inherit; }
+  html.theme--documenter-dark .tabs {
+    -webkit-overflow-scrolling: touch;
+    align-items: stretch;
+    display: flex;
+    font-size: 15px;
+    justify-content: space-between;
+    overflow: hidden;
+    overflow-x: auto;
+    white-space: nowrap; }
+    html.theme--documenter-dark .tabs a {
+      align-items: center;
+      border-bottom-color: #5e6d6f;
+      border-bottom-style: solid;
+      border-bottom-width: 1px;
+      color: #fff;
+      display: flex;
+      justify-content: center;
+      margin-bottom: -1px;
+      padding: 0.5em 1em;
+      vertical-align: top; }
+      html.theme--documenter-dark .tabs a:hover {
+        border-bottom-color: #f2f2f2;
+        color: #f2f2f2; }
+    html.theme--documenter-dark .tabs li {
+      display: block; }
+      html.theme--documenter-dark .tabs li.is-active a {
+        border-bottom-color: #1abc9c;
+        color: #1abc9c; }
+    html.theme--documenter-dark .tabs ul {
+      align-items: center;
+      border-bottom-color: #5e6d6f;
+      border-bottom-style: solid;
+      border-bottom-width: 1px;
+      display: flex;
+      flex-grow: 1;
+      flex-shrink: 0;
+      justify-content: flex-start; }
+      html.theme--documenter-dark .tabs ul.is-left {
+        padding-right: 0.75em; }
+      html.theme--documenter-dark .tabs ul.is-center {
+        flex: none;
+        justify-content: center;
+        padding-left: 0.75em;
+        padding-right: 0.75em; }
+      html.theme--documenter-dark .tabs ul.is-right {
+        justify-content: flex-end;
+        padding-left: 0.75em; }
+    html.theme--documenter-dark .tabs .icon:first-child {
+      margin-right: 0.5em; }
+    html.theme--documenter-dark .tabs .icon:last-child {
+      margin-left: 0.5em; }
+    html.theme--documenter-dark .tabs.is-centered ul {
+      justify-content: center; }
+    html.theme--documenter-dark .tabs.is-right ul {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .tabs.is-boxed a {
+      border: 1px solid transparent;
+      border-radius: 0.4em 0.4em 0 0; }
+      html.theme--documenter-dark .tabs.is-boxed a:hover {
+        background-color: #282f2f;
+        border-bottom-color: #5e6d6f; }
+    html.theme--documenter-dark .tabs.is-boxed li.is-active a {
+      background-color: white;
+      border-color: #5e6d6f;
+      border-bottom-color: transparent !important; }
+    html.theme--documenter-dark .tabs.is-fullwidth li {
+      flex-grow: 1;
+      flex-shrink: 0; }
+    html.theme--documenter-dark .tabs.is-toggle a {
+      border-color: #5e6d6f;
+      border-style: solid;
+      border-width: 1px;
+      margin-bottom: 0;
+      position: relative; }
+      html.theme--documenter-dark .tabs.is-toggle a:hover {
+        background-color: #282f2f;
+        border-color: #8c9b9d;
+        z-index: 2; }
+    html.theme--documenter-dark .tabs.is-toggle li + li {
+      margin-left: -1px; }
+    html.theme--documenter-dark .tabs.is-toggle li:first-child a {
+      border-radius: 0.4em 0 0 0.4em; }
+    html.theme--documenter-dark .tabs.is-toggle li:last-child a {
+      border-radius: 0 0.4em 0.4em 0; }
+    html.theme--documenter-dark .tabs.is-toggle li.is-active a {
+      background-color: #1abc9c;
+      border-color: #1abc9c;
+      color: #fff;
+      z-index: 1; }
+    html.theme--documenter-dark .tabs.is-toggle ul {
+      border-bottom: none; }
+    html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:first-child a {
+      border-bottom-left-radius: 290486px;
+      border-top-left-radius: 290486px;
+      padding-left: 1.25em; }
+    html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:last-child a {
+      border-bottom-right-radius: 290486px;
+      border-top-right-radius: 290486px;
+      padding-right: 1.25em; }
+    html.theme--documenter-dark .tabs.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.tabs {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .tabs.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .tabs.is-large {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .column {
+    display: block;
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 1;
+    padding: 0.75rem; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-narrow {
+      flex: none; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-full {
+      flex: none;
+      width: 100%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-three-quarters {
+      flex: none;
+      width: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-two-thirds {
+      flex: none;
+      width: 66.6666%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-half {
+      flex: none;
+      width: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-one-third {
+      flex: none;
+      width: 33.3333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-one-quarter {
+      flex: none;
+      width: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-one-fifth {
+      flex: none;
+      width: 20%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-two-fifths {
+      flex: none;
+      width: 40%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-three-fifths {
+      flex: none;
+      width: 60%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-four-fifths {
+      flex: none;
+      width: 80%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-three-quarters {
+      margin-left: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-two-thirds {
+      margin-left: 66.6666%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-half {
+      margin-left: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-third {
+      margin-left: 33.3333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-quarter {
+      margin-left: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-fifth {
+      margin-left: 20%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-two-fifths {
+      margin-left: 40%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-three-fifths {
+      margin-left: 60%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-four-fifths {
+      margin-left: 80%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-0 {
+      flex: none;
+      width: 0%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-0 {
+      margin-left: 0%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-1 {
+      flex: none;
+      width: 8.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-1 {
+      margin-left: 8.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-2 {
+      flex: none;
+      width: 16.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-2 {
+      margin-left: 16.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-3 {
+      flex: none;
+      width: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-3 {
+      margin-left: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-4 {
+      flex: none;
+      width: 33.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-4 {
+      margin-left: 33.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-5 {
+      flex: none;
+      width: 41.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-5 {
+      margin-left: 41.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-6 {
+      flex: none;
+      width: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-6 {
+      margin-left: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-7 {
+      flex: none;
+      width: 58.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-7 {
+      margin-left: 58.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-8 {
+      flex: none;
+      width: 66.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-8 {
+      margin-left: 66.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-9 {
+      flex: none;
+      width: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-9 {
+      margin-left: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-10 {
+      flex: none;
+      width: 83.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-10 {
+      margin-left: 83.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-11 {
+      flex: none;
+      width: 91.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-11 {
+      margin-left: 91.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-12 {
+      flex: none;
+      width: 100%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-12 {
+      margin-left: 100%; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .column.is-narrow-mobile {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-mobile {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-mobile {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-mobile {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-mobile {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-mobile {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-mobile {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-mobile {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-mobile {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-mobile {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-mobile {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-mobile {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-mobile {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-mobile {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-mobile {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-mobile {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-mobile {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-mobile {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-mobile {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-mobile {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-mobile {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-mobile {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-mobile {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-mobile {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-mobile {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-mobile {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-mobile {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-mobile {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-mobile {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-mobile {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-mobile {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-mobile {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-mobile {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-mobile {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-mobile {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-mobile {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-mobile {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-mobile {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-mobile {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-mobile {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-mobile {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-mobile {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-mobile {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-mobile {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-mobile {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-mobile {
+        margin-left: 100%; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .column.is-narrow, html.theme--documenter-dark .column.is-narrow-tablet {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full, html.theme--documenter-dark .column.is-full-tablet {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters, html.theme--documenter-dark .column.is-three-quarters-tablet {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds, html.theme--documenter-dark .column.is-two-thirds-tablet {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half, html.theme--documenter-dark .column.is-half-tablet {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third, html.theme--documenter-dark .column.is-one-third-tablet {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter, html.theme--documenter-dark .column.is-one-quarter-tablet {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth, html.theme--documenter-dark .column.is-one-fifth-tablet {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths, html.theme--documenter-dark .column.is-two-fifths-tablet {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths, html.theme--documenter-dark .column.is-three-fifths-tablet {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths, html.theme--documenter-dark .column.is-four-fifths-tablet {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters, html.theme--documenter-dark .column.is-offset-three-quarters-tablet {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds, html.theme--documenter-dark .column.is-offset-two-thirds-tablet {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half, html.theme--documenter-dark .column.is-offset-half-tablet {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third, html.theme--documenter-dark .column.is-offset-one-third-tablet {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter, html.theme--documenter-dark .column.is-offset-one-quarter-tablet {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth, html.theme--documenter-dark .column.is-offset-one-fifth-tablet {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths, html.theme--documenter-dark .column.is-offset-two-fifths-tablet {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths, html.theme--documenter-dark .column.is-offset-three-fifths-tablet {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths, html.theme--documenter-dark .column.is-offset-four-fifths-tablet {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0, html.theme--documenter-dark .column.is-0-tablet {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0, html.theme--documenter-dark .column.is-offset-0-tablet {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1, html.theme--documenter-dark .column.is-1-tablet {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1, html.theme--documenter-dark .column.is-offset-1-tablet {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2, html.theme--documenter-dark .column.is-2-tablet {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2, html.theme--documenter-dark .column.is-offset-2-tablet {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3, html.theme--documenter-dark .column.is-3-tablet {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3, html.theme--documenter-dark .column.is-offset-3-tablet {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4, html.theme--documenter-dark .column.is-4-tablet {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4, html.theme--documenter-dark .column.is-offset-4-tablet {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5, html.theme--documenter-dark .column.is-5-tablet {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5, html.theme--documenter-dark .column.is-offset-5-tablet {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6, html.theme--documenter-dark .column.is-6-tablet {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6, html.theme--documenter-dark .column.is-offset-6-tablet {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7, html.theme--documenter-dark .column.is-7-tablet {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7, html.theme--documenter-dark .column.is-offset-7-tablet {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8, html.theme--documenter-dark .column.is-8-tablet {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8, html.theme--documenter-dark .column.is-offset-8-tablet {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9, html.theme--documenter-dark .column.is-9-tablet {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9, html.theme--documenter-dark .column.is-offset-9-tablet {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10, html.theme--documenter-dark .column.is-10-tablet {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10, html.theme--documenter-dark .column.is-offset-10-tablet {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11, html.theme--documenter-dark .column.is-11-tablet {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11, html.theme--documenter-dark .column.is-offset-11-tablet {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12, html.theme--documenter-dark .column.is-12-tablet {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12, html.theme--documenter-dark .column.is-offset-12-tablet {
+        margin-left: 100%; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .column.is-narrow-touch {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-touch {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-touch {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-touch {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-touch {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-touch {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-touch {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-touch {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-touch {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-touch {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-touch {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-touch {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-touch {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-touch {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-touch {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-touch {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-touch {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-touch {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-touch {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-touch {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-touch {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-touch {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-touch {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-touch {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-touch {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-touch {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-touch {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-touch {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-touch {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-touch {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-touch {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-touch {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-touch {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-touch {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-touch {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-touch {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-touch {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-touch {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-touch {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-touch {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-touch {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-touch {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-touch {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-touch {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-touch {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-touch {
+        margin-left: 100%; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .column.is-narrow-desktop {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-desktop {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-desktop {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-desktop {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-desktop {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-desktop {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-desktop {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-desktop {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-desktop {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-desktop {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-desktop {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-desktop {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-desktop {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-desktop {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-desktop {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-desktop {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-desktop {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-desktop {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-desktop {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-desktop {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-desktop {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-desktop {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-desktop {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-desktop {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-desktop {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-desktop {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-desktop {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-desktop {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-desktop {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-desktop {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-desktop {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-desktop {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-desktop {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-desktop {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-desktop {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-desktop {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-desktop {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-desktop {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-desktop {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-desktop {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-desktop {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-desktop {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-desktop {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-desktop {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-desktop {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-desktop {
+        margin-left: 100%; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .column.is-narrow-widescreen {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-widescreen {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-widescreen {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-widescreen {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-widescreen {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-widescreen {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-widescreen {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-widescreen {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-widescreen {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-widescreen {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-widescreen {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-widescreen {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-widescreen {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-widescreen {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-widescreen {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-widescreen {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-widescreen {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-widescreen {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-widescreen {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-widescreen {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-widescreen {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-widescreen {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-widescreen {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-widescreen {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-widescreen {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-widescreen {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-widescreen {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-widescreen {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-widescreen {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-widescreen {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-widescreen {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-widescreen {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-widescreen {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-widescreen {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-widescreen {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-widescreen {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-widescreen {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-widescreen {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-widescreen {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-widescreen {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-widescreen {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-widescreen {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-widescreen {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-widescreen {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-widescreen {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-widescreen {
+        margin-left: 100%; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .column.is-narrow-fullhd {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-fullhd {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-fullhd {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-fullhd {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-fullhd {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-fullhd {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-fullhd {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-fullhd {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-fullhd {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-fullhd {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-fullhd {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-fullhd {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-fullhd {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-fullhd {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-fullhd {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-fullhd {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-fullhd {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-fullhd {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-fullhd {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-fullhd {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-fullhd {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-fullhd {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-fullhd {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-fullhd {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-fullhd {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-fullhd {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-fullhd {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-fullhd {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-fullhd {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-fullhd {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-fullhd {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-fullhd {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-fullhd {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-fullhd {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-fullhd {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-fullhd {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-fullhd {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-fullhd {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-fullhd {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-fullhd {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-fullhd {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-fullhd {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-fullhd {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-fullhd {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-fullhd {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-fullhd {
+        margin-left: 100%; } }
+  html.theme--documenter-dark .columns {
+    margin-left: -0.75rem;
+    margin-right: -0.75rem;
+    margin-top: -0.75rem; }
+    html.theme--documenter-dark .columns:last-child {
+      margin-bottom: -0.75rem; }
+    html.theme--documenter-dark .columns:not(:last-child) {
+      margin-bottom: calc(1.5rem - 0.75rem); }
+    html.theme--documenter-dark .columns.is-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .columns.is-gapless {
+      margin-left: 0;
+      margin-right: 0;
+      margin-top: 0; }
+      html.theme--documenter-dark .columns.is-gapless > .column {
+        margin: 0;
+        padding: 0 !important; }
+      html.theme--documenter-dark .columns.is-gapless:not(:last-child) {
+        margin-bottom: 1.5rem; }
+      html.theme--documenter-dark .columns.is-gapless:last-child {
+        margin-bottom: 0; }
+    html.theme--documenter-dark .columns.is-mobile {
+      display: flex; }
+    html.theme--documenter-dark .columns.is-multiline {
+      flex-wrap: wrap; }
+    html.theme--documenter-dark .columns.is-vcentered {
+      align-items: center; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns:not(.is-desktop) {
+        display: flex; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-desktop {
+        display: flex; } }
+  html.theme--documenter-dark .columns.is-variable {
+    --columnGap: 0.75rem;
+    margin-left: calc(-1 * var(--columnGap));
+    margin-right: calc(-1 * var(--columnGap)); }
+    html.theme--documenter-dark .columns.is-variable .column {
+      padding-left: var(--columnGap);
+      padding-right: var(--columnGap); }
+    html.theme--documenter-dark .columns.is-variable.is-0 {
+      --columnGap: 0rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-mobile {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-0-tablet {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-tablet-only {
+        --columnGap: 0rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-touch {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-desktop {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-desktop-only {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-widescreen {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-widescreen-only {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-fullhd {
+        --columnGap: 0rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-1 {
+      --columnGap: 0.25rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-mobile {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-1-tablet {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-tablet-only {
+        --columnGap: 0.25rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-touch {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-desktop {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-desktop-only {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-widescreen {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-widescreen-only {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-fullhd {
+        --columnGap: 0.25rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-2 {
+      --columnGap: 0.5rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-mobile {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-2-tablet {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-tablet-only {
+        --columnGap: 0.5rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-touch {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-desktop {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-desktop-only {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-widescreen {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-widescreen-only {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-fullhd {
+        --columnGap: 0.5rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-3 {
+      --columnGap: 0.75rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-mobile {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-3-tablet {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-tablet-only {
+        --columnGap: 0.75rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-touch {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-desktop {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-desktop-only {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-widescreen {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-widescreen-only {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-fullhd {
+        --columnGap: 0.75rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-4 {
+      --columnGap: 1rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-mobile {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-4-tablet {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-tablet-only {
+        --columnGap: 1rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-touch {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-desktop {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-desktop-only {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-widescreen {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-widescreen-only {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-fullhd {
+        --columnGap: 1rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-5 {
+      --columnGap: 1.25rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-mobile {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-5-tablet {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-tablet-only {
+        --columnGap: 1.25rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-touch {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-desktop {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-desktop-only {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-widescreen {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-widescreen-only {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-fullhd {
+        --columnGap: 1.25rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-6 {
+      --columnGap: 1.5rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-mobile {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-6-tablet {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-tablet-only {
+        --columnGap: 1.5rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-touch {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-desktop {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-desktop-only {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-widescreen {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-widescreen-only {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-fullhd {
+        --columnGap: 1.5rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-7 {
+      --columnGap: 1.75rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-mobile {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-7-tablet {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-tablet-only {
+        --columnGap: 1.75rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-touch {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-desktop {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-desktop-only {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-widescreen {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-widescreen-only {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-fullhd {
+        --columnGap: 1.75rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-8 {
+      --columnGap: 2rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-mobile {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-8-tablet {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-tablet-only {
+        --columnGap: 2rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-touch {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-desktop {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-desktop-only {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-widescreen {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-widescreen-only {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-fullhd {
+        --columnGap: 2rem; } }
+  html.theme--documenter-dark .tile {
+    align-items: stretch;
+    display: block;
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 1;
+    min-height: min-content; }
+    html.theme--documenter-dark .tile.is-ancestor {
+      margin-left: -0.75rem;
+      margin-right: -0.75rem;
+      margin-top: -0.75rem; }
+      html.theme--documenter-dark .tile.is-ancestor:last-child {
+        margin-bottom: -0.75rem; }
+      html.theme--documenter-dark .tile.is-ancestor:not(:last-child) {
+        margin-bottom: 0.75rem; }
+    html.theme--documenter-dark .tile.is-child {
+      margin: 0 !important; }
+    html.theme--documenter-dark .tile.is-parent {
+      padding: 0.75rem; }
+    html.theme--documenter-dark .tile.is-vertical {
+      flex-direction: column; }
+      html.theme--documenter-dark .tile.is-vertical > .tile.is-child:not(:last-child) {
+        margin-bottom: 1.5rem !important; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .tile:not(.is-child) {
+        display: flex; }
+      html.theme--documenter-dark .tile.is-1 {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .tile.is-2 {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .tile.is-3 {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .tile.is-4 {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .tile.is-5 {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .tile.is-6 {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .tile.is-7 {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .tile.is-8 {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .tile.is-9 {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .tile.is-10 {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .tile.is-11 {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .tile.is-12 {
+        flex: none;
+        width: 100%; } }
+  html.theme--documenter-dark .hero {
+    align-items: stretch;
+    display: flex;
+    flex-direction: column;
+    justify-content: space-between; }
+    html.theme--documenter-dark .hero .navbar {
+      background: none; }
+    html.theme--documenter-dark .hero .tabs ul {
+      border-bottom: none; }
+    html.theme--documenter-dark .hero.is-white {
+      background-color: white;
+      color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-white a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-white strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-white .title {
+        color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-white .subtitle {
+        color: rgba(10, 10, 10, 0.9); }
+        html.theme--documenter-dark .hero.is-white .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-white .subtitle strong {
+          color: #0a0a0a; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-white .navbar-menu {
+          background-color: white; } }
+      html.theme--documenter-dark .hero.is-white .navbar-item,
+      html.theme--documenter-dark .hero.is-white .navbar-link {
+        color: rgba(10, 10, 10, 0.7); }
+      html.theme--documenter-dark .hero.is-white a.navbar-item:hover, html.theme--documenter-dark .hero.is-white a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-white .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-white .navbar-link.is-active {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-white .tabs a {
+        color: #0a0a0a;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-white .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-white .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-white .tabs.is-boxed a, html.theme--documenter-dark .hero.is-white .tabs.is-toggle a {
+        color: #0a0a0a; }
+        html.theme--documenter-dark .hero.is-white .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-white .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-white .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-white .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-white .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-white .tabs.is-toggle li.is-active a:hover {
+        background-color: #0a0a0a;
+        border-color: #0a0a0a;
+        color: white; }
+      html.theme--documenter-dark .hero.is-white.is-bold {
+        background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-white.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); } }
+    html.theme--documenter-dark .hero.is-black {
+      background-color: #0a0a0a;
+      color: white; }
+      html.theme--documenter-dark .hero.is-black a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-black strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-black .title {
+        color: white; }
+      html.theme--documenter-dark .hero.is-black .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-black .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-black .subtitle strong {
+          color: white; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-black .navbar-menu {
+          background-color: #0a0a0a; } }
+      html.theme--documenter-dark .hero.is-black .navbar-item,
+      html.theme--documenter-dark .hero.is-black .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-black a.navbar-item:hover, html.theme--documenter-dark .hero.is-black a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-black .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-black .navbar-link.is-active {
+        background-color: black;
+        color: white; }
+      html.theme--documenter-dark .hero.is-black .tabs a {
+        color: white;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-black .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-black .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-black .tabs.is-boxed a, html.theme--documenter-dark .hero.is-black .tabs.is-toggle a {
+        color: white; }
+        html.theme--documenter-dark .hero.is-black .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-black .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-black .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-black .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-black .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-black .tabs.is-toggle li.is-active a:hover {
+        background-color: white;
+        border-color: white;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-black.is-bold {
+        background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-black.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } }
+    html.theme--documenter-dark .hero.is-light {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+      html.theme--documenter-dark .hero.is-light a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-light strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-light .title {
+        color: #282f2f; }
+      html.theme--documenter-dark .hero.is-light .subtitle {
+        color: rgba(40, 47, 47, 0.9); }
+        html.theme--documenter-dark .hero.is-light .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-light .subtitle strong {
+          color: #282f2f; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-light .navbar-menu {
+          background-color: #ecf0f1; } }
+      html.theme--documenter-dark .hero.is-light .navbar-item,
+      html.theme--documenter-dark .hero.is-light .navbar-link {
+        color: rgba(40, 47, 47, 0.7); }
+      html.theme--documenter-dark .hero.is-light a.navbar-item:hover, html.theme--documenter-dark .hero.is-light a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-light .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-light .navbar-link.is-active {
+        background-color: #dde4e6;
+        color: #282f2f; }
+      html.theme--documenter-dark .hero.is-light .tabs a {
+        color: #282f2f;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-light .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-light .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-light .tabs.is-boxed a, html.theme--documenter-dark .hero.is-light .tabs.is-toggle a {
+        color: #282f2f; }
+        html.theme--documenter-dark .hero.is-light .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-light .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-light .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-light .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-light .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-light .tabs.is-toggle li.is-active a:hover {
+        background-color: #282f2f;
+        border-color: #282f2f;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-light.is-bold {
+        background-image: linear-gradient(141deg, #cadfe0 0%, #ecf0f1 71%, #fafbfc 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-light.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #cadfe0 0%, #ecf0f1 71%, #fafbfc 100%); } }
+    html.theme--documenter-dark .hero.is-dark, html.theme--documenter-dark .content kbd.hero {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-dark a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), html.theme--documenter-dark .content kbd.hero a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-dark strong,
+      html.theme--documenter-dark .content kbd.hero strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-dark .title, html.theme--documenter-dark .content kbd.hero .title {
+        color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-dark .subtitle, html.theme--documenter-dark .content kbd.hero .subtitle {
+        color: rgba(236, 240, 241, 0.9); }
+        html.theme--documenter-dark .hero.is-dark .subtitle a:not(.button), html.theme--documenter-dark .content kbd.hero .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-dark .subtitle strong,
+        html.theme--documenter-dark .content kbd.hero .subtitle strong {
+          color: #ecf0f1; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-dark .navbar-menu, html.theme--documenter-dark .content kbd.hero .navbar-menu {
+          background-color: #282f2f; } }
+      html.theme--documenter-dark .hero.is-dark .navbar-item, html.theme--documenter-dark .content kbd.hero .navbar-item,
+      html.theme--documenter-dark .hero.is-dark .navbar-link,
+      html.theme--documenter-dark .content kbd.hero .navbar-link {
+        color: rgba(236, 240, 241, 0.7); }
+      html.theme--documenter-dark .hero.is-dark a.navbar-item:hover, html.theme--documenter-dark .content kbd.hero a.navbar-item:hover, html.theme--documenter-dark .hero.is-dark a.navbar-item.is-active, html.theme--documenter-dark .content kbd.hero a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-dark .navbar-link:hover,
+      html.theme--documenter-dark .content kbd.hero .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-dark .navbar-link.is-active,
+      html.theme--documenter-dark .content kbd.hero .navbar-link.is-active {
+        background-color: #1d2122;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-dark .tabs a, html.theme--documenter-dark .content kbd.hero .tabs a {
+        color: #ecf0f1;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-dark .tabs a:hover, html.theme--documenter-dark .content kbd.hero .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-dark .tabs li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-dark .tabs.is-boxed a, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed a, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle a, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle a {
+        color: #ecf0f1; }
+        html.theme--documenter-dark .hero.is-dark .tabs.is-boxed a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-dark .tabs.is-boxed li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-dark .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle li.is-active a:hover {
+        background-color: #ecf0f1;
+        border-color: #ecf0f1;
+        color: #282f2f; }
+      html.theme--documenter-dark .hero.is-dark.is-bold, html.theme--documenter-dark .content kbd.hero.is-bold {
+        background-image: linear-gradient(141deg, #0f1615 0%, #282f2f 71%, #313c40 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-dark.is-bold .navbar-menu, html.theme--documenter-dark .content kbd.hero.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #0f1615 0%, #282f2f 71%, #313c40 100%); } }
+    html.theme--documenter-dark .hero.is-primary, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink {
+      background-color: #375a7f;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-primary a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-primary strong,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-primary .title, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-primary .subtitle, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-primary .subtitle a:not(.button), html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-primary .subtitle strong,
+        html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-primary .navbar-menu, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-menu {
+          background-color: #375a7f; } }
+      html.theme--documenter-dark .hero.is-primary .navbar-item, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-item,
+      html.theme--documenter-dark .hero.is-primary .navbar-link,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-primary a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a.navbar-item:hover, html.theme--documenter-dark .hero.is-primary a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-primary .navbar-link:hover,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-primary .navbar-link.is-active,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link.is-active {
+        background-color: #2f4d6d;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-primary .tabs a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-primary .tabs a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-primary .tabs li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-primary .tabs.is-boxed a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-primary .tabs.is-boxed a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-primary .tabs.is-boxed li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-primary .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #375a7f; }
+      html.theme--documenter-dark .hero.is-primary.is-bold, html.theme--documenter-dark .docstring > section > a.hero.is-bold.docs-sourcelink {
+        background-image: linear-gradient(141deg, #214b62 0%, #375a7f 71%, #3a5796 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-primary.is-bold .navbar-menu, html.theme--documenter-dark .docstring > section > a.hero.is-bold.docs-sourcelink .navbar-menu {
+            background-image: linear-gradient(141deg, #214b62 0%, #375a7f 71%, #3a5796 100%); } }
+    html.theme--documenter-dark .hero.is-link {
+      background-color: #1abc9c;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-link a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-link strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-link .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-link .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-link .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-link .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-link .navbar-menu {
+          background-color: #1abc9c; } }
+      html.theme--documenter-dark .hero.is-link .navbar-item,
+      html.theme--documenter-dark .hero.is-link .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-link a.navbar-item:hover, html.theme--documenter-dark .hero.is-link a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-link .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-link .navbar-link.is-active {
+        background-color: #17a689;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-link .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-link .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-link .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-link .tabs.is-boxed a, html.theme--documenter-dark .hero.is-link .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-link .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-link .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-link .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-link .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-link .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-link .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #1abc9c; }
+      html.theme--documenter-dark .hero.is-link.is-bold {
+        background-image: linear-gradient(141deg, #0c9764 0%, #1abc9c 71%, #17d8d2 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-link.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #0c9764 0%, #1abc9c 71%, #17d8d2 100%); } }
+    html.theme--documenter-dark .hero.is-info {
+      background-color: #024c7d;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-info a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-info strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-info .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-info .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-info .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-info .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-info .navbar-menu {
+          background-color: #024c7d; } }
+      html.theme--documenter-dark .hero.is-info .navbar-item,
+      html.theme--documenter-dark .hero.is-info .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-info a.navbar-item:hover, html.theme--documenter-dark .hero.is-info a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-info .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-info .navbar-link.is-active {
+        background-color: #023d64;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-info .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-info .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-info .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-info .tabs.is-boxed a, html.theme--documenter-dark .hero.is-info .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-info .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-info .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-info .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-info .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-info .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-info .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #024c7d; }
+      html.theme--documenter-dark .hero.is-info.is-bold {
+        background-image: linear-gradient(141deg, #003a4c 0%, #024c7d 71%, #004299 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-info.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #003a4c 0%, #024c7d 71%, #004299 100%); } }
+    html.theme--documenter-dark .hero.is-success {
+      background-color: #008438;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-success a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-success strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-success .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-success .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-success .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-success .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-success .navbar-menu {
+          background-color: #008438; } }
+      html.theme--documenter-dark .hero.is-success .navbar-item,
+      html.theme--documenter-dark .hero.is-success .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-success a.navbar-item:hover, html.theme--documenter-dark .hero.is-success a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-success .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-success .navbar-link.is-active {
+        background-color: #006b2d;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-success .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-success .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-success .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-success .tabs.is-boxed a, html.theme--documenter-dark .hero.is-success .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-success .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-success .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-success .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-success .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-success .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-success .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #008438; }
+      html.theme--documenter-dark .hero.is-success.is-bold {
+        background-image: linear-gradient(141deg, #005115 0%, #008438 71%, #009e5d 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-success.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #005115 0%, #008438 71%, #009e5d 100%); } }
+    html.theme--documenter-dark .hero.is-warning {
+      background-color: #ad8100;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-warning a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-warning strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-warning .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-warning .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-warning .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-warning .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-warning .navbar-menu {
+          background-color: #ad8100; } }
+      html.theme--documenter-dark .hero.is-warning .navbar-item,
+      html.theme--documenter-dark .hero.is-warning .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-warning a.navbar-item:hover, html.theme--documenter-dark .hero.is-warning a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-warning .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-warning .navbar-link.is-active {
+        background-color: #946e00;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-warning .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-warning .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-warning .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-warning .tabs.is-boxed a, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-warning .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-warning .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-warning .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #ad8100; }
+      html.theme--documenter-dark .hero.is-warning.is-bold {
+        background-image: linear-gradient(141deg, #7a4700 0%, #ad8100 71%, #c7b500 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-warning.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #7a4700 0%, #ad8100 71%, #c7b500 100%); } }
+    html.theme--documenter-dark .hero.is-danger {
+      background-color: #9e1b0d;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-danger a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-danger strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-danger .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-danger .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-danger .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-danger .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-danger .navbar-menu {
+          background-color: #9e1b0d; } }
+      html.theme--documenter-dark .hero.is-danger .navbar-item,
+      html.theme--documenter-dark .hero.is-danger .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-danger a.navbar-item:hover, html.theme--documenter-dark .hero.is-danger a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-danger .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-danger .navbar-link.is-active {
+        background-color: #86170b;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-danger .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-danger .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-danger .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-danger .tabs.is-boxed a, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-danger .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-danger .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-danger .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #9e1b0d; }
+      html.theme--documenter-dark .hero.is-danger.is-bold {
+        background-image: linear-gradient(141deg, #75030b 0%, #9e1b0d 71%, #ba380a 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-danger.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #75030b 0%, #9e1b0d 71%, #ba380a 100%); } }
+    html.theme--documenter-dark .hero.is-small .hero-body, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.hero .hero-body {
+      padding-bottom: 1.5rem;
+      padding-top: 1.5rem; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .hero.is-medium .hero-body {
+        padding-bottom: 9rem;
+        padding-top: 9rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .hero.is-large .hero-body {
+        padding-bottom: 18rem;
+        padding-top: 18rem; } }
+    html.theme--documenter-dark .hero.is-halfheight .hero-body, html.theme--documenter-dark .hero.is-fullheight .hero-body, html.theme--documenter-dark .hero.is-fullheight-with-navbar .hero-body {
+      align-items: center;
+      display: flex; }
+      html.theme--documenter-dark .hero.is-halfheight .hero-body > .container, html.theme--documenter-dark .hero.is-fullheight .hero-body > .container, html.theme--documenter-dark .hero.is-fullheight-with-navbar .hero-body > .container {
+        flex-grow: 1;
+        flex-shrink: 1; }
+    html.theme--documenter-dark .hero.is-halfheight {
+      min-height: 50vh; }
+    html.theme--documenter-dark .hero.is-fullheight {
+      min-height: 100vh; }
+  html.theme--documenter-dark .hero-video {
+    overflow: hidden; }
+    html.theme--documenter-dark .hero-video video {
+      left: 50%;
+      min-height: 100%;
+      min-width: 100%;
+      position: absolute;
+      top: 50%;
+      transform: translate3d(-50%, -50%, 0); }
+    html.theme--documenter-dark .hero-video.is-transparent {
+      opacity: 0.3; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .hero-video {
+        display: none; } }
+  html.theme--documenter-dark .hero-buttons {
+    margin-top: 1.5rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .hero-buttons .button {
+        display: flex; }
+        html.theme--documenter-dark .hero-buttons .button:not(:last-child) {
+          margin-bottom: 0.75rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .hero-buttons {
+        display: flex;
+        justify-content: center; }
+        html.theme--documenter-dark .hero-buttons .button:not(:last-child) {
+          margin-right: 1.5rem; } }
+  html.theme--documenter-dark .hero-head,
+  html.theme--documenter-dark .hero-foot {
+    flex-grow: 0;
+    flex-shrink: 0; }
+  html.theme--documenter-dark .hero-body {
+    flex-grow: 1;
+    flex-shrink: 0;
+    padding: 3rem 1.5rem; }
+  html.theme--documenter-dark .section {
+    padding: 3rem 1.5rem; }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .section.is-medium {
+        padding: 9rem 1.5rem; }
+      html.theme--documenter-dark .section.is-large {
+        padding: 18rem 1.5rem; } }
+  html.theme--documenter-dark .footer {
+    background-color: #282f2f;
+    padding: 3rem 1.5rem 6rem; }
+  html.theme--documenter-dark hr {
+    height: 1px; }
+  html.theme--documenter-dark h6 {
+    text-transform: uppercase;
+    letter-spacing: 0.5px; }
+  html.theme--documenter-dark .hero {
+    background-color: #343c3d; }
+  html.theme--documenter-dark a {
+    transition: all 200ms ease; }
+  html.theme--documenter-dark .button {
+    transition: all 200ms ease;
+    border-width: 1px;
+    color: white; }
+    html.theme--documenter-dark .button.is-active, html.theme--documenter-dark .button.is-focused, html.theme--documenter-dark .button:active, html.theme--documenter-dark .button:focus {
+      box-shadow: 0 0 0 2px rgba(140, 155, 157, 0.5); }
+    html.theme--documenter-dark .button.is-white.is-hovered, html.theme--documenter-dark .button.is-white:hover {
+      background-color: white; }
+    html.theme--documenter-dark .button.is-white.is-active, html.theme--documenter-dark .button.is-white.is-focused, html.theme--documenter-dark .button.is-white:active, html.theme--documenter-dark .button.is-white:focus {
+      border-color: white;
+      box-shadow: 0 0 0 2px rgba(255, 255, 255, 0.5); }
+    html.theme--documenter-dark .button.is-black.is-hovered, html.theme--documenter-dark .button.is-black:hover {
+      background-color: #1d1d1d; }
+    html.theme--documenter-dark .button.is-black.is-active, html.theme--documenter-dark .button.is-black.is-focused, html.theme--documenter-dark .button.is-black:active, html.theme--documenter-dark .button.is-black:focus {
+      border-color: #0a0a0a;
+      box-shadow: 0 0 0 2px rgba(10, 10, 10, 0.5); }
+    html.theme--documenter-dark .button.is-light.is-hovered, html.theme--documenter-dark .button.is-light:hover {
+      background-color: white; }
+    html.theme--documenter-dark .button.is-light.is-active, html.theme--documenter-dark .button.is-light.is-focused, html.theme--documenter-dark .button.is-light:active, html.theme--documenter-dark .button.is-light:focus {
+      border-color: #ecf0f1;
+      box-shadow: 0 0 0 2px rgba(236, 240, 241, 0.5); }
+    html.theme--documenter-dark .button.is-dark.is-hovered, html.theme--documenter-dark .content kbd.button.is-hovered, html.theme--documenter-dark .button.is-dark:hover, html.theme--documenter-dark .content kbd.button:hover {
+      background-color: #3a4344; }
+    html.theme--documenter-dark .button.is-dark.is-active, html.theme--documenter-dark .content kbd.button.is-active, html.theme--documenter-dark .button.is-dark.is-focused, html.theme--documenter-dark .content kbd.button.is-focused, html.theme--documenter-dark .button.is-dark:active, html.theme--documenter-dark .content kbd.button:active, html.theme--documenter-dark .button.is-dark:focus, html.theme--documenter-dark .content kbd.button:focus {
+      border-color: #282f2f;
+      box-shadow: 0 0 0 2px rgba(40, 47, 47, 0.5); }
+    html.theme--documenter-dark .button.is-primary.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary:hover, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:hover {
+      background-color: #436d9a; }
+    html.theme--documenter-dark .button.is-primary.is-active, html.theme--documenter-dark .docstring > section > a.button.is-active.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink, html.theme--documenter-dark .button.is-primary:active, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:active, html.theme--documenter-dark .button.is-primary:focus, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus {
+      border-color: #375a7f;
+      box-shadow: 0 0 0 2px rgba(55, 90, 127, 0.5); }
+    html.theme--documenter-dark .button.is-link.is-hovered, html.theme--documenter-dark .button.is-link:hover {
+      background-color: #1fdeb8; }
+    html.theme--documenter-dark .button.is-link.is-active, html.theme--documenter-dark .button.is-link.is-focused, html.theme--documenter-dark .button.is-link:active, html.theme--documenter-dark .button.is-link:focus {
+      border-color: #1abc9c;
+      box-shadow: 0 0 0 2px rgba(26, 188, 156, 0.5); }
+    html.theme--documenter-dark .button.is-info.is-hovered, html.theme--documenter-dark .button.is-info:hover {
+      background-color: #0363a3; }
+    html.theme--documenter-dark .button.is-info.is-active, html.theme--documenter-dark .button.is-info.is-focused, html.theme--documenter-dark .button.is-info:active, html.theme--documenter-dark .button.is-info:focus {
+      border-color: #024c7d;
+      box-shadow: 0 0 0 2px rgba(2, 76, 125, 0.5); }
+    html.theme--documenter-dark .button.is-success.is-hovered, html.theme--documenter-dark .button.is-success:hover {
+      background-color: #00aa48; }
+    html.theme--documenter-dark .button.is-success.is-active, html.theme--documenter-dark .button.is-success.is-focused, html.theme--documenter-dark .button.is-success:active, html.theme--documenter-dark .button.is-success:focus {
+      border-color: #008438;
+      box-shadow: 0 0 0 2px rgba(0, 132, 56, 0.5); }
+    html.theme--documenter-dark .button.is-warning.is-hovered, html.theme--documenter-dark .button.is-warning:hover {
+      background-color: #d39e00; }
+    html.theme--documenter-dark .button.is-warning.is-active, html.theme--documenter-dark .button.is-warning.is-focused, html.theme--documenter-dark .button.is-warning:active, html.theme--documenter-dark .button.is-warning:focus {
+      border-color: #ad8100;
+      box-shadow: 0 0 0 2px rgba(173, 129, 0, 0.5); }
+    html.theme--documenter-dark .button.is-danger.is-hovered, html.theme--documenter-dark .button.is-danger:hover {
+      background-color: #c12110; }
+    html.theme--documenter-dark .button.is-danger.is-active, html.theme--documenter-dark .button.is-danger.is-focused, html.theme--documenter-dark .button.is-danger:active, html.theme--documenter-dark .button.is-danger:focus {
+      border-color: #9e1b0d;
+      box-shadow: 0 0 0 2px rgba(158, 27, 13, 0.5); }
+  html.theme--documenter-dark .label {
+    color: #dbdee0; }
+  html.theme--documenter-dark .button,
+  html.theme--documenter-dark .control.has-icons-left .icon,
+  html.theme--documenter-dark .control.has-icons-right .icon,
+  html.theme--documenter-dark .input,
+  html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input,
+  html.theme--documenter-dark .pagination-ellipsis,
+  html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .select,
+  html.theme--documenter-dark .select select,
+  html.theme--documenter-dark .textarea {
+    height: 2.5em; }
+  html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input,
+  html.theme--documenter-dark .textarea {
+    transition: all 200ms ease;
+    box-shadow: none;
+    border-width: 1px;
+    padding-left: 1em;
+    padding-right: 1em; }
+  html.theme--documenter-dark .select:after,
+  html.theme--documenter-dark .select select {
+    border-width: 1px; }
+  html.theme--documenter-dark .control.has-addons .button,
+  html.theme--documenter-dark .control.has-addons .input,
+  html.theme--documenter-dark .control.has-addons #documenter .docs-sidebar form.docs-search > input,
+  html.theme--documenter-dark #documenter .docs-sidebar .control.has-addons form.docs-search > input,
+  html.theme--documenter-dark .control.has-addons .select {
+    margin-right: -1px; }
+  html.theme--documenter-dark .notification {
+    background-color: #343c3d; }
+  html.theme--documenter-dark .card {
+    box-shadow: none;
+    border: 1px solid #343c3d;
+    background-color: #282f2f;
+    border-radius: 0.4em; }
+    html.theme--documenter-dark .card .card-image img {
+      border-radius: 0.4em 0.4em 0 0; }
+    html.theme--documenter-dark .card .card-header {
+      box-shadow: none;
+      background-color: rgba(18, 18, 18, 0.2);
+      border-radius: 0.4em 0.4em 0 0; }
+    html.theme--documenter-dark .card .card-footer {
+      background-color: rgba(18, 18, 18, 0.2); }
+    html.theme--documenter-dark .card .card-footer,
+    html.theme--documenter-dark .card .card-footer-item {
+      border-width: 1px;
+      border-color: #343c3d; }
+  html.theme--documenter-dark .notification.is-white a:not(.button) {
+    color: #0a0a0a;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-black a:not(.button) {
+    color: white;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-light a:not(.button) {
+    color: #282f2f;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-dark a:not(.button), html.theme--documenter-dark .content kbd.notification a:not(.button) {
+    color: #ecf0f1;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-primary a:not(.button), html.theme--documenter-dark .docstring > section > a.notification.docs-sourcelink a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-link a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-info a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-success a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-warning a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-danger a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .tag, html.theme--documenter-dark .content kbd, html.theme--documenter-dark .docstring > section > a.docs-sourcelink {
+    border-radius: 0.4em; }
+  html.theme--documenter-dark .menu-list a {
+    transition: all 300ms ease; }
+  html.theme--documenter-dark .modal-card-body {
+    background-color: #282f2f; }
+  html.theme--documenter-dark .modal-card-foot,
+  html.theme--documenter-dark .modal-card-head {
+    border-color: #343c3d; }
+  html.theme--documenter-dark .message-header {
+    font-weight: 700;
+    background-color: #343c3d;
+    color: white; }
+  html.theme--documenter-dark .message-body {
+    border-width: 1px;
+    border-color: #343c3d; }
+  html.theme--documenter-dark .navbar {
+    border-radius: 0.4em; }
+    html.theme--documenter-dark .navbar.is-transparent {
+      background: none; }
+    html.theme--documenter-dark .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active {
+      background-color: #1abc9c; }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .navbar .navbar-menu {
+        background-color: #375a7f;
+        border-radius: 0 0 0.4em 0.4em; } }
+  html.theme--documenter-dark .hero .navbar,
+  html.theme--documenter-dark body > .navbar {
+    border-radius: 0; }
+  html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-previous {
+    border-width: 1px; }
+  html.theme--documenter-dark .panel-block,
+  html.theme--documenter-dark .panel-heading,
+  html.theme--documenter-dark .panel-tabs {
+    border-width: 1px; }
+    html.theme--documenter-dark .panel-block:first-child,
+    html.theme--documenter-dark .panel-heading:first-child,
+    html.theme--documenter-dark .panel-tabs:first-child {
+      border-top-width: 1px; }
+  html.theme--documenter-dark .panel-heading {
+    font-weight: 700; }
+  html.theme--documenter-dark .panel-tabs a {
+    border-width: 1px;
+    margin-bottom: -1px; }
+    html.theme--documenter-dark .panel-tabs a.is-active {
+      border-bottom-color: #17a689; }
+  html.theme--documenter-dark .panel-block:hover {
+    color: #1dd2af; }
+    html.theme--documenter-dark .panel-block:hover .panel-icon {
+      color: #1dd2af; }
+  html.theme--documenter-dark .panel-block.is-active .panel-icon {
+    color: #17a689; }
+  html.theme--documenter-dark .tabs a {
+    border-bottom-width: 1px;
+    margin-bottom: -1px; }
+  html.theme--documenter-dark .tabs ul {
+    border-bottom-width: 1px; }
+  html.theme--documenter-dark .tabs.is-boxed a {
+    border-width: 1px; }
+  html.theme--documenter-dark .tabs.is-boxed li.is-active a {
+    background-color: #1f2424; }
+  html.theme--documenter-dark .tabs.is-toggle li a {
+    border-width: 1px;
+    margin-bottom: 0; }
+  html.theme--documenter-dark .tabs.is-toggle li + li {
+    margin-left: -1px; }
+  html.theme--documenter-dark .hero.is-white .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-black .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-light .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-dark .navbar .navbar-dropdown .navbar-item:hover, html.theme--documenter-dark .content kbd.hero .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-primary .navbar .navbar-dropdown .navbar-item:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-link .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-info .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-success .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-warning .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-danger .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark h1 .docs-heading-anchor, html.theme--documenter-dark h1 .docs-heading-anchor:hover, html.theme--documenter-dark h1 .docs-heading-anchor:visited, html.theme--documenter-dark h2 .docs-heading-anchor, html.theme--documenter-dark h2 .docs-heading-anchor:hover, html.theme--documenter-dark h2 .docs-heading-anchor:visited, html.theme--documenter-dark h3 .docs-heading-anchor, html.theme--documenter-dark h3 .docs-heading-anchor:hover, html.theme--documenter-dark h3 .docs-heading-anchor:visited, html.theme--documenter-dark h4 .docs-heading-anchor, html.theme--documenter-dark h4 .docs-heading-anchor:hover, html.theme--documenter-dark h4 .docs-heading-anchor:visited, html.theme--documenter-dark h5 .docs-heading-anchor, html.theme--documenter-dark h5 .docs-heading-anchor:hover, html.theme--documenter-dark h5 .docs-heading-anchor:visited, html.theme--documenter-dark h6 .docs-heading-anchor, html.theme--documenter-dark h6 .docs-heading-anchor:hover, html.theme--documenter-dark h6 .docs-heading-anchor:visited {
+    color: #f2f2f2; }
+  html.theme--documenter-dark h1 .docs-heading-anchor-permalink, html.theme--documenter-dark h2 .docs-heading-anchor-permalink, html.theme--documenter-dark h3 .docs-heading-anchor-permalink, html.theme--documenter-dark h4 .docs-heading-anchor-permalink, html.theme--documenter-dark h5 .docs-heading-anchor-permalink, html.theme--documenter-dark h6 .docs-heading-anchor-permalink {
+    visibility: hidden;
+    vertical-align: middle;
+    margin-left: 0.5em;
+    font-size: 0.7rem; }
+    html.theme--documenter-dark h1 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h2 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h3 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h4 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h5 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h6 .docs-heading-anchor-permalink::before {
+      font-family: "Font Awesome 5 Free";
+      font-weight: 900;
+      content: "\f0c1"; }
+  html.theme--documenter-dark h1:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h2:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h3:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h4:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h5:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h6:hover .docs-heading-anchor-permalink {
+    visibility: visible; }
+  html.theme--documenter-dark .docs-light-only {
+    display: none !important; }
+  html.theme--documenter-dark pre {
+    position: relative;
+    overflow: hidden; }
+    html.theme--documenter-dark pre code, html.theme--documenter-dark pre code.hljs {
+      padding: 0 0.75rem !important;
+      overflow: auto;
+      display: block; }
+    html.theme--documenter-dark pre code:first-of-type, html.theme--documenter-dark pre code.hljs:first-of-type {
+      padding-top: 0.5rem !important; }
+    html.theme--documenter-dark pre code:last-of-type, html.theme--documenter-dark pre code.hljs:last-of-type {
+      padding-bottom: 0.5rem !important; }
+    html.theme--documenter-dark pre .copy-button {
+      opacity: 0.2;
+      transition: opacity 0.2s;
+      position: absolute;
+      right: 0em;
+      top: 0em;
+      padding: 0.5em;
+      width: 2.5em;
+      height: 2.5em;
+      background: transparent;
+      border: none;
+      font-family: "Font Awesome 5 Free";
+      color: #fff;
+      cursor: pointer;
+      text-align: center; }
+      html.theme--documenter-dark pre .copy-button:focus, html.theme--documenter-dark pre .copy-button:hover {
+        opacity: 1;
+        background: rgba(255, 255, 255, 0.1);
+        color: #1abc9c; }
+      html.theme--documenter-dark pre .copy-button.success {
+        color: #259a12;
+        opacity: 1; }
+      html.theme--documenter-dark pre .copy-button.error {
+        color: #cb3c33;
+        opacity: 1; }
+    html.theme--documenter-dark pre:hover .copy-button {
+      opacity: 1; }
+  html.theme--documenter-dark .admonition {
+    background-color: #282f2f;
+    border-style: solid;
+    border-width: 1px;
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    font-size: 15px; }
+    html.theme--documenter-dark .admonition strong {
+      color: currentColor; }
+    html.theme--documenter-dark .admonition.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.admonition {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .admonition.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .admonition.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .admonition.is-default {
+      background-color: #282f2f;
+      border-color: #5e6d6f; }
+      html.theme--documenter-dark .admonition.is-default > .admonition-header {
+        background-color: #5e6d6f; }
+    html.theme--documenter-dark .admonition.is-info {
+      background-color: #282f2f;
+      border-color: #024c7d; }
+      html.theme--documenter-dark .admonition.is-info > .admonition-header {
+        background-color: #024c7d; }
+    html.theme--documenter-dark .admonition.is-success {
+      background-color: #282f2f;
+      border-color: #008438; }
+      html.theme--documenter-dark .admonition.is-success > .admonition-header {
+        background-color: #008438; }
+    html.theme--documenter-dark .admonition.is-warning {
+      background-color: #282f2f;
+      border-color: #ad8100; }
+      html.theme--documenter-dark .admonition.is-warning > .admonition-header {
+        background-color: #ad8100; }
+    html.theme--documenter-dark .admonition.is-danger {
+      background-color: #282f2f;
+      border-color: #9e1b0d; }
+      html.theme--documenter-dark .admonition.is-danger > .admonition-header {
+        background-color: #9e1b0d; }
+    html.theme--documenter-dark .admonition.is-compat {
+      background-color: #282f2f;
+      border-color: #137886; }
+      html.theme--documenter-dark .admonition.is-compat > .admonition-header {
+        background-color: #137886; }
+  html.theme--documenter-dark .admonition-header {
+    background-color: #5e6d6f;
+    align-items: center;
+    font-weight: 700;
+    justify-content: space-between;
+    line-height: 1.25;
+    padding: 0.5rem 0.75rem;
+    position: relative; }
+    html.theme--documenter-dark .admonition-header:before {
+      font-family: "Font Awesome 5 Free";
+      font-weight: 900;
+      margin-right: 0.75rem;
+      content: "\f06a"; }
+  html.theme--documenter-dark .admonition-body {
+    color: #fff;
+    padding: 0.5rem 0.75rem; }
+    html.theme--documenter-dark .admonition-body pre {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .admonition-body code {
+      background-color: rgba(255, 255, 255, 0.05); }
+  html.theme--documenter-dark .docstring {
+    margin-bottom: 1em;
+    background-color: transparent;
+    border: 1px solid #5e6d6f;
+    box-shadow: none;
+    max-width: 100%; }
+    html.theme--documenter-dark .docstring > header {
+      display: flex;
+      flex-grow: 1;
+      align-items: stretch;
+      padding: 0.5rem 0.75rem;
+      background-color: #282f2f;
+      box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+      box-shadow: none;
+      border-bottom: 1px solid #5e6d6f; }
+      html.theme--documenter-dark .docstring > header code {
+        background-color: transparent; }
+      html.theme--documenter-dark .docstring > header .docstring-binding {
+        margin-right: 0.3em; }
+      html.theme--documenter-dark .docstring > header .docstring-category {
+        margin-left: 0.3em; }
+    html.theme--documenter-dark .docstring > section {
+      position: relative;
+      padding: 0.75rem 0.75rem;
+      border-bottom: 1px solid #5e6d6f; }
+      html.theme--documenter-dark .docstring > section:last-child {
+        border-bottom: none; }
+      html.theme--documenter-dark .docstring > section > a.docs-sourcelink {
+        transition: opacity 0.3s;
+        opacity: 0;
+        position: absolute;
+        right: 0.375rem;
+        bottom: 0.375rem; }
+        html.theme--documenter-dark .docstring > section > a.docs-sourcelink:focus {
+          opacity: 1 !important; }
+    html.theme--documenter-dark .docstring:hover > section > a.docs-sourcelink {
+      opacity: 0.2; }
+    html.theme--documenter-dark .docstring:focus-within > section > a.docs-sourcelink {
+      opacity: 0.2; }
+    html.theme--documenter-dark .docstring > section:hover a.docs-sourcelink {
+      opacity: 1; }
+  html.theme--documenter-dark .documenter-example-output {
+    background-color: #1f2424; }
+  html.theme--documenter-dark .outdated-warning-overlay {
+    position: fixed;
+    top: 0;
+    left: 0;
+    right: 0;
+    box-shadow: 0 0 10px rgba(0, 0, 0, 0.3);
+    z-index: 999;
+    background-color: #282f2f;
+    border-bottom: 3px solid #9e1b0d;
+    padding: 10px 35px;
+    text-align: center;
+    font-size: 15px; }
+    html.theme--documenter-dark .outdated-warning-overlay .outdated-warning-closer {
+      position: absolute;
+      top: calc(50% - 10px);
+      right: 18px;
+      cursor: pointer;
+      width: 12px; }
+    html.theme--documenter-dark .outdated-warning-overlay a {
+      color: #1abc9c; }
+      html.theme--documenter-dark .outdated-warning-overlay a:hover {
+        color: #1dd2af; }
+  html.theme--documenter-dark .content pre {
+    border: 1px solid #5e6d6f; }
+  html.theme--documenter-dark .content code {
+    font-weight: inherit; }
+  html.theme--documenter-dark .content a code {
+    color: #1abc9c; }
+  html.theme--documenter-dark .content h1 code, html.theme--documenter-dark .content h2 code, html.theme--documenter-dark .content h3 code, html.theme--documenter-dark .content h4 code, html.theme--documenter-dark .content h5 code, html.theme--documenter-dark .content h6 code {
+    color: #f2f2f2; }
+  html.theme--documenter-dark .content table {
+    display: block;
+    width: initial;
+    max-width: 100%;
+    overflow-x: auto; }
+  html.theme--documenter-dark .content blockquote > ul:first-child, html.theme--documenter-dark .content blockquote > ol:first-child, html.theme--documenter-dark .content .admonition-body > ul:first-child, html.theme--documenter-dark .content .admonition-body > ol:first-child {
+    margin-top: 0; }
+  html.theme--documenter-dark pre, html.theme--documenter-dark code {
+    font-variant-ligatures: no-contextual; }
+  html.theme--documenter-dark .breadcrumb a.is-disabled {
+    cursor: default;
+    pointer-events: none; }
+    html.theme--documenter-dark .breadcrumb a.is-disabled, html.theme--documenter-dark .breadcrumb a.is-disabled:hover {
+      color: #f2f2f2; }
+  html.theme--documenter-dark .hljs {
+    background: initial !important; }
+  html.theme--documenter-dark .katex .katex-mathml {
+    top: 0;
+    right: 0; }
+  html.theme--documenter-dark .katex-display, html.theme--documenter-dark mjx-container, html.theme--documenter-dark .MathJax_Display {
+    margin: 0.5em 0 !important; }
+  html.theme--documenter-dark html {
+    -moz-osx-font-smoothing: auto;
+    -webkit-font-smoothing: auto; }
+  html.theme--documenter-dark li.no-marker {
+    list-style: none; }
+  html.theme--documenter-dark #documenter .docs-main > article {
+    overflow-wrap: break-word; }
+    html.theme--documenter-dark #documenter .docs-main > article .math-container {
+      overflow-x: auto;
+      overflow-y: hidden; }
+  @media screen and (min-width: 1056px) {
+    html.theme--documenter-dark #documenter .docs-main {
+      max-width: 52rem;
+      margin-left: 20rem;
+      padding-right: 1rem; } }
+  @media screen and (max-width: 1055px) {
+    html.theme--documenter-dark #documenter .docs-main {
+      width: 100%; }
+      html.theme--documenter-dark #documenter .docs-main > article {
+        max-width: 52rem;
+        margin-left: auto;
+        margin-right: auto;
+        margin-bottom: 1rem;
+        padding: 0 1rem; }
+      html.theme--documenter-dark #documenter .docs-main > header, html.theme--documenter-dark #documenter .docs-main > nav {
+        max-width: 100%;
+        width: 100%;
+        margin: 0; } }
+  html.theme--documenter-dark #documenter .docs-main header.docs-navbar {
+    background-color: #1f2424;
+    border-bottom: 1px solid #5e6d6f;
+    z-index: 2;
+    min-height: 4rem;
+    margin-bottom: 1rem;
+    display: flex; }
+    html.theme--documenter-dark #documenter .docs-main header.docs-navbar .breadcrumb {
+      flex-grow: 1; }
+    html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right {
+      display: flex;
+      white-space: nowrap; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-icon, html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-label, html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+        display: inline-block; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-label {
+        padding: 0;
+        margin-left: 0.3em; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-settings-button {
+        margin: auto 0 auto 1rem; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+        font-size: 1.5rem;
+        margin: auto 0 auto 1rem; }
+    html.theme--documenter-dark #documenter .docs-main header.docs-navbar > * {
+      margin: auto 0; }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar {
+        position: sticky;
+        top: 0;
+        padding: 0 1rem;
+        /* For Headroom.js */
+        transition-property: top, box-shadow;
+        -webkit-transition-property: top, box-shadow;
+        /* Safari */
+        transition-duration: 0.3s;
+        -webkit-transition-duration: 0.3s;
+        /* Safari */ }
+        html.theme--documenter-dark #documenter .docs-main header.docs-navbar.headroom--not-top {
+          box-shadow: 0.2rem 0rem 0.4rem #171717;
+          transition-duration: 0.7s;
+          -webkit-transition-duration: 0.7s;
+          /* Safari */ }
+        html.theme--documenter-dark #documenter .docs-main header.docs-navbar.headroom--unpinned.headroom--not-top.headroom--not-bottom {
+          top: -4.5rem;
+          transition-duration: 0.7s;
+          -webkit-transition-duration: 0.7s;
+          /* Safari */ } }
+  html.theme--documenter-dark #documenter .docs-main section.footnotes {
+    border-top: 1px solid #5e6d6f; }
+    html.theme--documenter-dark #documenter .docs-main section.footnotes li .tag:first-child, html.theme--documenter-dark #documenter .docs-main section.footnotes li .docstring > section > a.docs-sourcelink:first-child, html.theme--documenter-dark #documenter .docs-main section.footnotes li .content kbd:first-child, html.theme--documenter-dark .content #documenter .docs-main section.footnotes li kbd:first-child {
+      margin-right: 1em;
+      margin-bottom: 0.4em; }
+  html.theme--documenter-dark #documenter .docs-main .docs-footer {
+    display: flex;
+    flex-wrap: wrap;
+    margin-left: 0;
+    margin-right: 0;
+    border-top: 1px solid #5e6d6f;
+    padding-top: 1rem;
+    padding-bottom: 1rem; }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark #documenter .docs-main .docs-footer {
+        padding-left: 1rem;
+        padding-right: 1rem; } }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-nextpage, html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-prevpage {
+      flex-grow: 1; }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-nextpage {
+      text-align: right; }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .flexbox-break {
+      flex-basis: 100%;
+      height: 0; }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .footer-message {
+      font-size: 0.8em;
+      margin: 0.5em auto 0 auto;
+      text-align: center; }
+  html.theme--documenter-dark #documenter .docs-sidebar {
+    display: flex;
+    flex-direction: column;
+    color: #fff;
+    background-color: #282f2f;
+    border-right: 1px solid #5e6d6f;
+    padding: 0;
+    flex: 0 0 18rem;
+    z-index: 5;
+    font-size: 15px;
+    position: fixed;
+    left: -18rem;
+    width: 18rem;
+    height: 100%;
+    transition: left 0.3s;
+    /* Setting up a nicer theme style for the scrollbar */ }
+    html.theme--documenter-dark #documenter .docs-sidebar.visible {
+      left: 0;
+      box-shadow: 0.4rem 0rem 0.8rem #171717; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark #documenter .docs-sidebar.visible {
+          box-shadow: none; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark #documenter .docs-sidebar {
+        left: 0;
+        top: 0; } }
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo {
+      margin-top: 1rem;
+      padding: 0 1rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img {
+        max-height: 6rem;
+        margin: auto; }
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name {
+      flex-shrink: 0;
+      font-size: 1.5rem;
+      font-weight: 700;
+      text-align: center;
+      white-space: nowrap;
+      overflow: hidden;
+      padding: 0.5rem 0; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name .docs-autofit {
+        max-width: 16.2rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name a, html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name a:hover {
+        color: #fff; }
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-version-selector {
+      border-top: 1px solid #5e6d6f;
+      display: none;
+      padding: 0.5rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-version-selector.visible {
+        display: flex; }
+    html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu {
+      flex-grow: 1;
+      user-select: none;
+      border-top: 1px solid #5e6d6f;
+      padding-bottom: 1.5rem;
+      /* Managing collapsible submenus */ }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li > .tocitem {
+        font-weight: bold; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li li {
+        font-size: 14.25px;
+        margin-left: 1em;
+        border-left: 1px solid #5e6d6f; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input.collapse-toggle {
+        display: none; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.collapsed {
+        display: none; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input:checked ~ ul.collapsed {
+        display: block; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem {
+        display: flex; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-label {
+          flex-grow: 2; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron {
+          display: inline-block;
+          font-style: normal;
+          font-variant: normal;
+          text-rendering: auto;
+          line-height: 1;
+          font-size: 11.25px;
+          margin-left: 1rem;
+          margin-top: auto;
+          margin-bottom: auto; }
+          html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron::before {
+            font-family: "Font Awesome 5 Free";
+            font-weight: 900;
+            content: "\f054"; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input:checked ~ label.tocitem .docs-chevron::before {
+        content: "\f078"; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem {
+        display: block;
+        padding: 0.5rem 0.5rem; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem:hover {
+          color: #fff;
+          background: #282f2f; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu a.tocitem:hover, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem:hover {
+        color: #fff;
+        background-color: #32393a; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active {
+        border-top: 1px solid #5e6d6f;
+        border-bottom: 1px solid #5e6d6f;
+        background-color: #1f2424; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem:hover {
+          background-color: #1f2424;
+          color: #fff; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active ul.internal .tocitem:hover {
+          background-color: #32393a;
+          color: #fff; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li.is-active:first-child {
+        border-top: none; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal {
+        margin: 0 0.5rem 0.5rem;
+        border-top: 1px solid #5e6d6f; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal li {
+          font-size: 12.75px;
+          border-left: none;
+          margin-left: 0;
+          margin-top: 0.5rem; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem {
+          width: 100%;
+          padding: 0; }
+          html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem::before {
+            content: "⚬";
+            margin-right: 0.4em; }
+    html.theme--documenter-dark #documenter .docs-sidebar form.docs-search {
+      margin: auto;
+      margin-top: 0.5rem;
+      margin-bottom: 0.5rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+        width: 14.4rem; }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu {
+        overflow-y: auto;
+        -webkit-overflow-scroll: touch; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar {
+          width: .3rem;
+          background: none; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb {
+          border-radius: 5px 0px 0px 5px;
+          background: #3b4445; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb:hover {
+          background: #4e5a5c; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark #documenter .docs-sidebar {
+        overflow-y: auto;
+        -webkit-overflow-scroll: touch; }
+        html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar {
+          width: .3rem;
+          background: none; }
+        html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar-thumb {
+          border-radius: 5px 0px 0px 5px;
+          background: #3b4445; }
+        html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar-thumb:hover {
+          background: #4e5a5c; } }
+  html.theme--documenter-dark #documenter .docs-main #documenter-search-info {
+    margin-bottom: 1rem; }
+  html.theme--documenter-dark #documenter .docs-main #documenter-search-results {
+    list-style-type: circle;
+    list-style-position: outside; }
+    html.theme--documenter-dark #documenter .docs-main #documenter-search-results li {
+      margin-left: 2rem; }
+    html.theme--documenter-dark #documenter .docs-main #documenter-search-results .docs-highlight {
+      background-color: yellow; }
+  html.theme--documenter-dark {
+    background-color: #1f2424;
+    font-size: 16px;
+    min-width: 300px;
+    overflow-x: auto;
+    overflow-y: scroll;
+    text-rendering: optimizeLegibility;
+    text-size-adjust: 100%; }
+  html.theme--documenter-dark .ansi span.sgr1 {
+    font-weight: bolder; }
+  html.theme--documenter-dark .ansi span.sgr2 {
+    font-weight: lighter; }
+  html.theme--documenter-dark .ansi span.sgr3 {
+    font-style: italic; }
+  html.theme--documenter-dark .ansi span.sgr4 {
+    text-decoration: underline; }
+  html.theme--documenter-dark .ansi span.sgr7 {
+    color: #1f2424;
+    background-color: #fff; }
+  html.theme--documenter-dark .ansi span.sgr8 {
+    color: transparent; }
+    html.theme--documenter-dark .ansi span.sgr8 span {
+      color: transparent; }
+  html.theme--documenter-dark .ansi span.sgr9 {
+    text-decoration: line-through; }
+  html.theme--documenter-dark .ansi span.sgr30 {
+    color: #242424; }
+  html.theme--documenter-dark .ansi span.sgr31 {
+    color: #f6705f; }
+  html.theme--documenter-dark .ansi span.sgr32 {
+    color: #4fb43a; }
+  html.theme--documenter-dark .ansi span.sgr33 {
+    color: #f4c72f; }
+  html.theme--documenter-dark .ansi span.sgr34 {
+    color: #7587f0; }
+  html.theme--documenter-dark .ansi span.sgr35 {
+    color: #bc89d3; }
+  html.theme--documenter-dark .ansi span.sgr36 {
+    color: #49b6ca; }
+  html.theme--documenter-dark .ansi span.sgr37 {
+    color: #b3bdbe; }
+  html.theme--documenter-dark .ansi span.sgr40 {
+    background-color: #242424; }
+  html.theme--documenter-dark .ansi span.sgr41 {
+    background-color: #f6705f; }
+  html.theme--documenter-dark .ansi span.sgr42 {
+    background-color: #4fb43a; }
+  html.theme--documenter-dark .ansi span.sgr43 {
+    background-color: #f4c72f; }
+  html.theme--documenter-dark .ansi span.sgr44 {
+    background-color: #7587f0; }
+  html.theme--documenter-dark .ansi span.sgr45 {
+    background-color: #bc89d3; }
+  html.theme--documenter-dark .ansi span.sgr46 {
+    background-color: #49b6ca; }
+  html.theme--documenter-dark .ansi span.sgr47 {
+    background-color: #b3bdbe; }
+  html.theme--documenter-dark .ansi span.sgr90 {
+    color: #92a0a2; }
+  html.theme--documenter-dark .ansi span.sgr91 {
+    color: #ff8674; }
+  html.theme--documenter-dark .ansi span.sgr92 {
+    color: #79d462; }
+  html.theme--documenter-dark .ansi span.sgr93 {
+    color: #ffe76b; }
+  html.theme--documenter-dark .ansi span.sgr94 {
+    color: #8a98ff; }
+  html.theme--documenter-dark .ansi span.sgr95 {
+    color: #d2a4e6; }
+  html.theme--documenter-dark .ansi span.sgr96 {
+    color: #6bc8db; }
+  html.theme--documenter-dark .ansi span.sgr97 {
+    color: #ecf0f1; }
+  html.theme--documenter-dark .ansi span.sgr100 {
+    background-color: #92a0a2; }
+  html.theme--documenter-dark .ansi span.sgr101 {
+    background-color: #ff8674; }
+  html.theme--documenter-dark .ansi span.sgr102 {
+    background-color: #79d462; }
+  html.theme--documenter-dark .ansi span.sgr103 {
+    background-color: #ffe76b; }
+  html.theme--documenter-dark .ansi span.sgr104 {
+    background-color: #8a98ff; }
+  html.theme--documenter-dark .ansi span.sgr105 {
+    background-color: #d2a4e6; }
+  html.theme--documenter-dark .ansi span.sgr106 {
+    background-color: #6bc8db; }
+  html.theme--documenter-dark .ansi span.sgr107 {
+    background-color: #ecf0f1; }
+  html.theme--documenter-dark code.language-julia-repl > span.hljs-meta {
+    color: #4fb43a;
+    font-weight: bolder; }
+  html.theme--documenter-dark .hljs {
+    background: #2b2b2b;
+    color: #f8f8f2; }
+  html.theme--documenter-dark .hljs-comment,
+  html.theme--documenter-dark .hljs-quote {
+    color: #d4d0ab; }
+  html.theme--documenter-dark .hljs-variable,
+  html.theme--documenter-dark .hljs-template-variable,
+  html.theme--documenter-dark .hljs-tag,
+  html.theme--documenter-dark .hljs-name,
+  html.theme--documenter-dark .hljs-selector-id,
+  html.theme--documenter-dark .hljs-selector-class,
+  html.theme--documenter-dark .hljs-regexp,
+  html.theme--documenter-dark .hljs-deletion {
+    color: #ffa07a; }
+  html.theme--documenter-dark .hljs-number,
+  html.theme--documenter-dark .hljs-built_in,
+  html.theme--documenter-dark .hljs-literal,
+  html.theme--documenter-dark .hljs-type,
+  html.theme--documenter-dark .hljs-params,
+  html.theme--documenter-dark .hljs-meta,
+  html.theme--documenter-dark .hljs-link {
+    color: #f5ab35; }
+  html.theme--documenter-dark .hljs-attribute {
+    color: #ffd700; }
+  html.theme--documenter-dark .hljs-string,
+  html.theme--documenter-dark .hljs-symbol,
+  html.theme--documenter-dark .hljs-bullet,
+  html.theme--documenter-dark .hljs-addition {
+    color: #abe338; }
+  html.theme--documenter-dark .hljs-title,
+  html.theme--documenter-dark .hljs-section {
+    color: #00e0e0; }
+  html.theme--documenter-dark .hljs-keyword,
+  html.theme--documenter-dark .hljs-selector-tag {
+    color: #dcc6e0; }
+  html.theme--documenter-dark .hljs-emphasis {
+    font-style: italic; }
+  html.theme--documenter-dark .hljs-strong {
+    font-weight: bold; }
+  @media screen and (-ms-high-contrast: active) {
+    html.theme--documenter-dark .hljs-addition,
+    html.theme--documenter-dark .hljs-attribute,
+    html.theme--documenter-dark .hljs-built_in,
+    html.theme--documenter-dark .hljs-bullet,
+    html.theme--documenter-dark .hljs-comment,
+    html.theme--documenter-dark .hljs-link,
+    html.theme--documenter-dark .hljs-literal,
+    html.theme--documenter-dark .hljs-meta,
+    html.theme--documenter-dark .hljs-number,
+    html.theme--documenter-dark .hljs-params,
+    html.theme--documenter-dark .hljs-string,
+    html.theme--documenter-dark .hljs-symbol,
+    html.theme--documenter-dark .hljs-type,
+    html.theme--documenter-dark .hljs-quote {
+      color: highlight; }
+    html.theme--documenter-dark .hljs-keyword,
+    html.theme--documenter-dark .hljs-selector-tag {
+      font-weight: bold; } }
+  html.theme--documenter-dark .hljs-subst {
+    color: #f8f8f2; }
diff --git a/v0.4.1/assets/themes/documenter-light.css b/v0.4.1/assets/themes/documenter-light.css
new file mode 100644
index 000000000..9595d5b8e
--- /dev/null
+++ b/v0.4.1/assets/themes/documenter-light.css
@@ -0,0 +1,7738 @@
+@charset "UTF-8";
+/* Font Awesome 5 mixin. Can be included in any rule that should render Font Awesome icons. */
+@keyframes spinAround {
+  from {
+    transform: rotate(0deg); }
+  to {
+    transform: rotate(359deg); } }
+
+.tabs, .pagination-previous,
+.pagination-next,
+.pagination-link,
+.pagination-ellipsis, .breadcrumb, .file, .button, .is-unselectable, .modal-close, .delete {
+  -webkit-touch-callout: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  user-select: none; }
+
+.navbar-link:not(.is-arrowless)::after, .select:not(.is-multiple):not(.is-loading)::after {
+  border: 3px solid transparent;
+  border-radius: 2px;
+  border-right: 0;
+  border-top: 0;
+  content: " ";
+  display: block;
+  height: 0.625em;
+  margin-top: -0.4375em;
+  pointer-events: none;
+  position: absolute;
+  top: 50%;
+  transform: rotate(-45deg);
+  transform-origin: center;
+  width: 0.625em; }
+
+.admonition:not(:last-child), .tabs:not(:last-child), .message:not(:last-child), .list:not(:last-child), .level:not(:last-child), .breadcrumb:not(:last-child), .highlight:not(:last-child), .block:not(:last-child), .title:not(:last-child),
+.subtitle:not(:last-child), .table-container:not(:last-child), .table:not(:last-child), .progress:not(:last-child), .notification:not(:last-child), .content:not(:last-child), .box:not(:last-child) {
+  margin-bottom: 1.5rem; }
+
+.modal-close, .delete {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  background-color: rgba(10, 10, 10, 0.2);
+  border: none;
+  border-radius: 290486px;
+  cursor: pointer;
+  pointer-events: auto;
+  display: inline-block;
+  flex-grow: 0;
+  flex-shrink: 0;
+  font-size: 0;
+  height: 20px;
+  max-height: 20px;
+  max-width: 20px;
+  min-height: 20px;
+  min-width: 20px;
+  outline: none;
+  position: relative;
+  vertical-align: top;
+  width: 20px; }
+  .modal-close::before, .delete::before, .modal-close::after, .delete::after {
+    background-color: white;
+    content: "";
+    display: block;
+    left: 50%;
+    position: absolute;
+    top: 50%;
+    transform: translateX(-50%) translateY(-50%) rotate(45deg);
+    transform-origin: center center; }
+  .modal-close::before, .delete::before {
+    height: 2px;
+    width: 50%; }
+  .modal-close::after, .delete::after {
+    height: 50%;
+    width: 2px; }
+  .modal-close:hover, .delete:hover, .modal-close:focus, .delete:focus {
+    background-color: rgba(10, 10, 10, 0.3); }
+  .modal-close:active, .delete:active {
+    background-color: rgba(10, 10, 10, 0.4); }
+  .is-small.modal-close, #documenter .docs-sidebar form.docs-search > input.modal-close, .is-small.delete, #documenter .docs-sidebar form.docs-search > input.delete {
+    height: 16px;
+    max-height: 16px;
+    max-width: 16px;
+    min-height: 16px;
+    min-width: 16px;
+    width: 16px; }
+  .is-medium.modal-close, .is-medium.delete {
+    height: 24px;
+    max-height: 24px;
+    max-width: 24px;
+    min-height: 24px;
+    min-width: 24px;
+    width: 24px; }
+  .is-large.modal-close, .is-large.delete {
+    height: 32px;
+    max-height: 32px;
+    max-width: 32px;
+    min-height: 32px;
+    min-width: 32px;
+    width: 32px; }
+
+.control.is-loading::after, .select.is-loading::after, .loader, .button.is-loading::after {
+  animation: spinAround 500ms infinite linear;
+  border: 2px solid #dbdbdb;
+  border-radius: 290486px;
+  border-right-color: transparent;
+  border-top-color: transparent;
+  content: "";
+  display: block;
+  height: 1em;
+  position: relative;
+  width: 1em; }
+
+.hero-video, .modal-background, .modal, .image.is-square img, #documenter .docs-sidebar .docs-logo > img.is-square img,
+.image.is-square .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, .image.is-1by1 img, #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+.image.is-1by1 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, .image.is-5by4 img, #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+.image.is-5by4 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, .image.is-4by3 img, #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+.image.is-4by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, .image.is-3by2 img, #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+.image.is-3by2 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, .image.is-5by3 img, #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+.image.is-5by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, .image.is-16by9 img, #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+.image.is-16by9 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, .image.is-2by1 img, #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+.image.is-2by1 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, .image.is-3by1 img, #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+.image.is-3by1 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, .image.is-4by5 img, #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+.image.is-4by5 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, .image.is-3by4 img, #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+.image.is-3by4 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, .image.is-2by3 img, #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+.image.is-2by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, .image.is-3by5 img, #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+.image.is-3by5 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, .image.is-9by16 img, #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+.image.is-9by16 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, .image.is-1by2 img, #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+.image.is-1by2 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, .image.is-1by3 img, #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+.image.is-1by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio, .is-overlay {
+  bottom: 0;
+  left: 0;
+  position: absolute;
+  right: 0;
+  top: 0; }
+
+.pagination-previous,
+.pagination-next,
+.pagination-link,
+.pagination-ellipsis, .file-cta,
+.file-name, .select select, .textarea, .input, #documenter .docs-sidebar form.docs-search > input, .button {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  align-items: center;
+  border: 1px solid transparent;
+  border-radius: 4px;
+  box-shadow: none;
+  display: inline-flex;
+  font-size: 1rem;
+  height: 2.25em;
+  justify-content: flex-start;
+  line-height: 1.5;
+  padding-bottom: calc(0.375em - 1px);
+  padding-left: calc(0.625em - 1px);
+  padding-right: calc(0.625em - 1px);
+  padding-top: calc(0.375em - 1px);
+  position: relative;
+  vertical-align: top; }
+  .pagination-previous:focus,
+  .pagination-next:focus,
+  .pagination-link:focus,
+  .pagination-ellipsis:focus, .file-cta:focus,
+  .file-name:focus, .select select:focus, .textarea:focus, .input:focus, #documenter .docs-sidebar form.docs-search > input:focus, .button:focus, .is-focused.pagination-previous,
+  .is-focused.pagination-next,
+  .is-focused.pagination-link,
+  .is-focused.pagination-ellipsis, .is-focused.file-cta,
+  .is-focused.file-name, .select select.is-focused, .is-focused.textarea, .is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-focused.button, .pagination-previous:active,
+  .pagination-next:active,
+  .pagination-link:active,
+  .pagination-ellipsis:active, .file-cta:active,
+  .file-name:active, .select select:active, .textarea:active, .input:active, #documenter .docs-sidebar form.docs-search > input:active, .button:active, .is-active.pagination-previous,
+  .is-active.pagination-next,
+  .is-active.pagination-link,
+  .is-active.pagination-ellipsis, .is-active.file-cta,
+  .is-active.file-name, .select select.is-active, .is-active.textarea, .is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .is-active.button {
+    outline: none; }
+  .pagination-previous[disabled],
+  .pagination-next[disabled],
+  .pagination-link[disabled],
+  .pagination-ellipsis[disabled], .file-cta[disabled],
+  .file-name[disabled], .select select[disabled], .textarea[disabled], .input[disabled], #documenter .docs-sidebar form.docs-search > input[disabled], .button[disabled], fieldset[disabled] .pagination-previous,
+  fieldset[disabled] .pagination-next,
+  fieldset[disabled] .pagination-link,
+  fieldset[disabled] .pagination-ellipsis, fieldset[disabled] .file-cta,
+  fieldset[disabled] .file-name, fieldset[disabled] .select select, .select fieldset[disabled] select, fieldset[disabled] .textarea, fieldset[disabled] .input, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input, fieldset[disabled] .button {
+    cursor: not-allowed; }
+
+/*! minireset.css v0.0.4 | MIT License | github.com/jgthms/minireset.css */
+html,
+body,
+p,
+ol,
+ul,
+li,
+dl,
+dt,
+dd,
+blockquote,
+figure,
+fieldset,
+legend,
+textarea,
+pre,
+iframe,
+hr,
+h1,
+h2,
+h3,
+h4,
+h5,
+h6 {
+  margin: 0;
+  padding: 0; }
+
+h1,
+h2,
+h3,
+h4,
+h5,
+h6 {
+  font-size: 100%;
+  font-weight: normal; }
+
+ul {
+  list-style: none; }
+
+button,
+input,
+select,
+textarea {
+  margin: 0; }
+
+html {
+  box-sizing: border-box; }
+
+*, *::before, *::after {
+  box-sizing: inherit; }
+
+img,
+embed,
+iframe,
+object,
+video {
+  height: auto;
+  max-width: 100%; }
+
+audio {
+  max-width: 100%; }
+
+iframe {
+  border: 0; }
+
+table {
+  border-collapse: collapse;
+  border-spacing: 0; }
+
+td,
+th {
+  padding: 0; }
+  td:not([align]),
+  th:not([align]) {
+    text-align: left; }
+
+html {
+  background-color: white;
+  font-size: 16px;
+  -moz-osx-font-smoothing: grayscale;
+  -webkit-font-smoothing: antialiased;
+  min-width: 300px;
+  overflow-x: auto;
+  overflow-y: scroll;
+  text-rendering: optimizeLegibility;
+  text-size-adjust: 100%; }
+
+article,
+aside,
+figure,
+footer,
+header,
+hgroup,
+section {
+  display: block; }
+
+body,
+button,
+input,
+select,
+textarea {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif; }
+
+code,
+pre {
+  -moz-osx-font-smoothing: auto;
+  -webkit-font-smoothing: auto;
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace; }
+
+body {
+  color: #222222;
+  font-size: 1em;
+  font-weight: 400;
+  line-height: 1.5; }
+
+a {
+  color: #2e63b8;
+  cursor: pointer;
+  text-decoration: none; }
+  a strong {
+    color: currentColor; }
+  a:hover {
+    color: #363636; }
+
+code {
+  background-color: rgba(0, 0, 0, 0.05);
+  color: #000000;
+  font-size: 0.875em;
+  font-weight: normal;
+  padding: 0.1em; }
+
+hr {
+  background-color: whitesmoke;
+  border: none;
+  display: block;
+  height: 2px;
+  margin: 1.5rem 0; }
+
+img {
+  height: auto;
+  max-width: 100%; }
+
+input[type="checkbox"],
+input[type="radio"] {
+  vertical-align: baseline; }
+
+small {
+  font-size: 0.875em; }
+
+span {
+  font-style: inherit;
+  font-weight: inherit; }
+
+strong {
+  color: #222222;
+  font-weight: 700; }
+
+fieldset {
+  border: none; }
+
+pre {
+  -webkit-overflow-scrolling: touch;
+  background-color: whitesmoke;
+  color: #222222;
+  font-size: 0.875em;
+  overflow-x: auto;
+  padding: 1.25rem 1.5rem;
+  white-space: pre;
+  word-wrap: normal; }
+  pre code {
+    background-color: transparent;
+    color: currentColor;
+    font-size: 1em;
+    padding: 0; }
+
+table td,
+table th {
+  vertical-align: top; }
+  table td:not([align]),
+  table th:not([align]) {
+    text-align: left; }
+
+table th {
+  color: #222222; }
+
+.is-clearfix::after {
+  clear: both;
+  content: " ";
+  display: table; }
+
+.is-pulled-left {
+  float: left !important; }
+
+.is-pulled-right {
+  float: right !important; }
+
+.is-clipped {
+  overflow: hidden !important; }
+
+.is-size-1 {
+  font-size: 3rem !important; }
+
+.is-size-2 {
+  font-size: 2.5rem !important; }
+
+.is-size-3 {
+  font-size: 2rem !important; }
+
+.is-size-4 {
+  font-size: 1.5rem !important; }
+
+.is-size-5 {
+  font-size: 1.25rem !important; }
+
+.is-size-6 {
+  font-size: 1rem !important; }
+
+.is-size-7, .docstring > section > a.docs-sourcelink {
+  font-size: 0.75rem !important; }
+
+@media screen and (max-width: 768px) {
+  .is-size-1-mobile {
+    font-size: 3rem !important; }
+  .is-size-2-mobile {
+    font-size: 2.5rem !important; }
+  .is-size-3-mobile {
+    font-size: 2rem !important; }
+  .is-size-4-mobile {
+    font-size: 1.5rem !important; }
+  .is-size-5-mobile {
+    font-size: 1.25rem !important; }
+  .is-size-6-mobile {
+    font-size: 1rem !important; }
+  .is-size-7-mobile {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-size-1-tablet {
+    font-size: 3rem !important; }
+  .is-size-2-tablet {
+    font-size: 2.5rem !important; }
+  .is-size-3-tablet {
+    font-size: 2rem !important; }
+  .is-size-4-tablet {
+    font-size: 1.5rem !important; }
+  .is-size-5-tablet {
+    font-size: 1.25rem !important; }
+  .is-size-6-tablet {
+    font-size: 1rem !important; }
+  .is-size-7-tablet {
+    font-size: 0.75rem !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-size-1-touch {
+    font-size: 3rem !important; }
+  .is-size-2-touch {
+    font-size: 2.5rem !important; }
+  .is-size-3-touch {
+    font-size: 2rem !important; }
+  .is-size-4-touch {
+    font-size: 1.5rem !important; }
+  .is-size-5-touch {
+    font-size: 1.25rem !important; }
+  .is-size-6-touch {
+    font-size: 1rem !important; }
+  .is-size-7-touch {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-size-1-desktop {
+    font-size: 3rem !important; }
+  .is-size-2-desktop {
+    font-size: 2.5rem !important; }
+  .is-size-3-desktop {
+    font-size: 2rem !important; }
+  .is-size-4-desktop {
+    font-size: 1.5rem !important; }
+  .is-size-5-desktop {
+    font-size: 1.25rem !important; }
+  .is-size-6-desktop {
+    font-size: 1rem !important; }
+  .is-size-7-desktop {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-size-1-widescreen {
+    font-size: 3rem !important; }
+  .is-size-2-widescreen {
+    font-size: 2.5rem !important; }
+  .is-size-3-widescreen {
+    font-size: 2rem !important; }
+  .is-size-4-widescreen {
+    font-size: 1.5rem !important; }
+  .is-size-5-widescreen {
+    font-size: 1.25rem !important; }
+  .is-size-6-widescreen {
+    font-size: 1rem !important; }
+  .is-size-7-widescreen {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-size-1-fullhd {
+    font-size: 3rem !important; }
+  .is-size-2-fullhd {
+    font-size: 2.5rem !important; }
+  .is-size-3-fullhd {
+    font-size: 2rem !important; }
+  .is-size-4-fullhd {
+    font-size: 1.5rem !important; }
+  .is-size-5-fullhd {
+    font-size: 1.25rem !important; }
+  .is-size-6-fullhd {
+    font-size: 1rem !important; }
+  .is-size-7-fullhd {
+    font-size: 0.75rem !important; } }
+
+.has-text-centered {
+  text-align: center !important; }
+
+.has-text-justified {
+  text-align: justify !important; }
+
+.has-text-left {
+  text-align: left !important; }
+
+.has-text-right {
+  text-align: right !important; }
+
+@media screen and (max-width: 768px) {
+  .has-text-centered-mobile {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-centered-tablet {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-centered-tablet-only {
+    text-align: center !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-centered-touch {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-centered-desktop {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-centered-desktop-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-centered-widescreen {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-centered-widescreen-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-centered-fullhd {
+    text-align: center !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-justified-mobile {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-justified-tablet {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-justified-tablet-only {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-justified-touch {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-justified-desktop {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-justified-desktop-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-justified-widescreen {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-justified-widescreen-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-justified-fullhd {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-left-mobile {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-left-tablet {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-left-tablet-only {
+    text-align: left !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-left-touch {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-left-desktop {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-left-desktop-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-left-widescreen {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-left-widescreen-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-left-fullhd {
+    text-align: left !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-right-mobile {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-right-tablet {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-right-tablet-only {
+    text-align: right !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-right-touch {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-right-desktop {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-right-desktop-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-right-widescreen {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-right-widescreen-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-right-fullhd {
+    text-align: right !important; } }
+
+.is-capitalized {
+  text-transform: capitalize !important; }
+
+.is-lowercase {
+  text-transform: lowercase !important; }
+
+.is-uppercase {
+  text-transform: uppercase !important; }
+
+.is-italic {
+  font-style: italic !important; }
+
+.has-text-white {
+  color: white !important; }
+
+a.has-text-white:hover, a.has-text-white:focus {
+  color: #e6e6e6 !important; }
+
+.has-background-white {
+  background-color: white !important; }
+
+.has-text-black {
+  color: #0a0a0a !important; }
+
+a.has-text-black:hover, a.has-text-black:focus {
+  color: black !important; }
+
+.has-background-black {
+  background-color: #0a0a0a !important; }
+
+.has-text-light {
+  color: whitesmoke !important; }
+
+a.has-text-light:hover, a.has-text-light:focus {
+  color: #dbdbdb !important; }
+
+.has-background-light {
+  background-color: whitesmoke !important; }
+
+.has-text-dark {
+  color: #363636 !important; }
+
+a.has-text-dark:hover, a.has-text-dark:focus {
+  color: #1c1c1c !important; }
+
+.has-background-dark {
+  background-color: #363636 !important; }
+
+.has-text-primary {
+  color: #4eb5de !important; }
+
+a.has-text-primary:hover, a.has-text-primary:focus {
+  color: #27a1d2 !important; }
+
+.has-background-primary {
+  background-color: #4eb5de !important; }
+
+.has-text-link {
+  color: #2e63b8 !important; }
+
+a.has-text-link:hover, a.has-text-link:focus {
+  color: #244d8f !important; }
+
+.has-background-link {
+  background-color: #2e63b8 !important; }
+
+.has-text-info {
+  color: #209cee !important; }
+
+a.has-text-info:hover, a.has-text-info:focus {
+  color: #1081cb !important; }
+
+.has-background-info {
+  background-color: #209cee !important; }
+
+.has-text-success {
+  color: #22c35b !important; }
+
+a.has-text-success:hover, a.has-text-success:focus {
+  color: #1a9847 !important; }
+
+.has-background-success {
+  background-color: #22c35b !important; }
+
+.has-text-warning {
+  color: #ffdd57 !important; }
+
+a.has-text-warning:hover, a.has-text-warning:focus {
+  color: #ffd324 !important; }
+
+.has-background-warning {
+  background-color: #ffdd57 !important; }
+
+.has-text-danger {
+  color: #da0b00 !important; }
+
+a.has-text-danger:hover, a.has-text-danger:focus {
+  color: #a70800 !important; }
+
+.has-background-danger {
+  background-color: #da0b00 !important; }
+
+.has-text-black-bis {
+  color: #121212 !important; }
+
+.has-background-black-bis {
+  background-color: #121212 !important; }
+
+.has-text-black-ter {
+  color: #242424 !important; }
+
+.has-background-black-ter {
+  background-color: #242424 !important; }
+
+.has-text-grey-darker {
+  color: #363636 !important; }
+
+.has-background-grey-darker {
+  background-color: #363636 !important; }
+
+.has-text-grey-dark {
+  color: #4a4a4a !important; }
+
+.has-background-grey-dark {
+  background-color: #4a4a4a !important; }
+
+.has-text-grey {
+  color: #6b6b6b !important; }
+
+.has-background-grey {
+  background-color: #6b6b6b !important; }
+
+.has-text-grey-light {
+  color: #b5b5b5 !important; }
+
+.has-background-grey-light {
+  background-color: #b5b5b5 !important; }
+
+.has-text-grey-lighter {
+  color: #dbdbdb !important; }
+
+.has-background-grey-lighter {
+  background-color: #dbdbdb !important; }
+
+.has-text-white-ter {
+  color: whitesmoke !important; }
+
+.has-background-white-ter {
+  background-color: whitesmoke !important; }
+
+.has-text-white-bis {
+  color: #fafafa !important; }
+
+.has-background-white-bis {
+  background-color: #fafafa !important; }
+
+.has-text-weight-light {
+  font-weight: 300 !important; }
+
+.has-text-weight-normal {
+  font-weight: 400 !important; }
+
+.has-text-weight-medium {
+  font-weight: 500 !important; }
+
+.has-text-weight-semibold {
+  font-weight: 600 !important; }
+
+.has-text-weight-bold {
+  font-weight: 700 !important; }
+
+.is-family-primary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-secondary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-sans-serif {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-monospace {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-family-code {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-block {
+  display: block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-block-mobile {
+    display: block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-block-tablet {
+    display: block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-block-tablet-only {
+    display: block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-block-touch {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-block-desktop {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-block-desktop-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-block-widescreen {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-block-widescreen-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-block-fullhd {
+    display: block !important; } }
+
+.is-flex {
+  display: flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-flex-mobile {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-flex-tablet {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-flex-tablet-only {
+    display: flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-flex-touch {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-flex-desktop {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-flex-desktop-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-flex-widescreen {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-flex-widescreen-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-flex-fullhd {
+    display: flex !important; } }
+
+.is-inline {
+  display: inline !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-mobile {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-tablet {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-tablet-only {
+    display: inline !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-touch {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-desktop {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-desktop-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-widescreen {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-widescreen-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-fullhd {
+    display: inline !important; } }
+
+.is-inline-block {
+  display: inline-block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-block-mobile {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-block-tablet {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-block-tablet-only {
+    display: inline-block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-block-touch {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-block-desktop {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-block-desktop-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-block-widescreen {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-block-widescreen-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-block-fullhd {
+    display: inline-block !important; } }
+
+.is-inline-flex {
+  display: inline-flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-flex-mobile {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-flex-tablet {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-flex-tablet-only {
+    display: inline-flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-flex-touch {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-flex-desktop {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-flex-desktop-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-flex-widescreen {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-flex-widescreen-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-flex-fullhd {
+    display: inline-flex !important; } }
+
+.is-hidden {
+  display: none !important; }
+
+.is-sr-only {
+  border: none !important;
+  clip: rect(0, 0, 0, 0) !important;
+  height: 0.01em !important;
+  overflow: hidden !important;
+  padding: 0 !important;
+  position: absolute !important;
+  white-space: nowrap !important;
+  width: 0.01em !important; }
+
+@media screen and (max-width: 768px) {
+  .is-hidden-mobile {
+    display: none !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-hidden-tablet {
+    display: none !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-hidden-tablet-only {
+    display: none !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-hidden-touch {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-hidden-desktop {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-hidden-desktop-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-hidden-widescreen {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-hidden-widescreen-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-hidden-fullhd {
+    display: none !important; } }
+
+.is-invisible {
+  visibility: hidden !important; }
+
+@media screen and (max-width: 768px) {
+  .is-invisible-mobile {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-invisible-tablet {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-invisible-tablet-only {
+    visibility: hidden !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-invisible-touch {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-invisible-desktop {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-invisible-desktop-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-invisible-widescreen {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-invisible-widescreen-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-invisible-fullhd {
+    visibility: hidden !important; } }
+
+.is-marginless {
+  margin: 0 !important; }
+
+.is-paddingless {
+  padding: 0 !important; }
+
+.is-radiusless {
+  border-radius: 0 !important; }
+
+.is-shadowless {
+  box-shadow: none !important; }
+
+.is-relative {
+  position: relative !important; }
+
+.box {
+  background-color: white;
+  border-radius: 6px;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+  color: #222222;
+  display: block;
+  padding: 1.25rem; }
+
+a.box:hover, a.box:focus {
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px #2e63b8; }
+
+a.box:active {
+  box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2), 0 0 0 1px #2e63b8; }
+
+.button {
+  background-color: white;
+  border-color: #dbdbdb;
+  border-width: 1px;
+  color: #363636;
+  cursor: pointer;
+  justify-content: center;
+  padding-bottom: calc(0.375em - 1px);
+  padding-left: 0.75em;
+  padding-right: 0.75em;
+  padding-top: calc(0.375em - 1px);
+  text-align: center;
+  white-space: nowrap; }
+  .button strong {
+    color: inherit; }
+  .button .icon, .button .icon.is-small, .button #documenter .docs-sidebar form.docs-search > input.icon, #documenter .docs-sidebar .button form.docs-search > input.icon, .button .icon.is-medium, .button .icon.is-large {
+    height: 1.5em;
+    width: 1.5em; }
+  .button .icon:first-child:not(:last-child) {
+    margin-left: calc(-0.375em - 1px);
+    margin-right: 0.1875em; }
+  .button .icon:last-child:not(:first-child) {
+    margin-left: 0.1875em;
+    margin-right: calc(-0.375em - 1px); }
+  .button .icon:first-child:last-child {
+    margin-left: calc(-0.375em - 1px);
+    margin-right: calc(-0.375em - 1px); }
+  .button:hover, .button.is-hovered {
+    border-color: #b5b5b5;
+    color: #363636; }
+  .button:focus, .button.is-focused {
+    border-color: #3c5dcd;
+    color: #363636; }
+    .button:focus:not(:active), .button.is-focused:not(:active) {
+      box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .button:active, .button.is-active {
+    border-color: #4a4a4a;
+    color: #363636; }
+  .button.is-text {
+    background-color: transparent;
+    border-color: transparent;
+    color: #222222;
+    text-decoration: underline; }
+    .button.is-text:hover, .button.is-text.is-hovered, .button.is-text:focus, .button.is-text.is-focused {
+      background-color: whitesmoke;
+      color: #222222; }
+    .button.is-text:active, .button.is-text.is-active {
+      background-color: #e8e8e8;
+      color: #222222; }
+    .button.is-text[disabled], fieldset[disabled] .button.is-text {
+      background-color: transparent;
+      border-color: transparent;
+      box-shadow: none; }
+  .button.is-white {
+    background-color: white;
+    border-color: transparent;
+    color: #0a0a0a; }
+    .button.is-white:hover, .button.is-white.is-hovered {
+      background-color: #f9f9f9;
+      border-color: transparent;
+      color: #0a0a0a; }
+    .button.is-white:focus, .button.is-white.is-focused {
+      border-color: transparent;
+      color: #0a0a0a; }
+      .button.is-white:focus:not(:active), .button.is-white.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+    .button.is-white:active, .button.is-white.is-active {
+      background-color: #f2f2f2;
+      border-color: transparent;
+      color: #0a0a0a; }
+    .button.is-white[disabled], fieldset[disabled] .button.is-white {
+      background-color: white;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-white.is-inverted {
+      background-color: #0a0a0a;
+      color: white; }
+      .button.is-white.is-inverted:hover, .button.is-white.is-inverted.is-hovered {
+        background-color: black; }
+      .button.is-white.is-inverted[disabled], fieldset[disabled] .button.is-white.is-inverted {
+        background-color: #0a0a0a;
+        border-color: transparent;
+        box-shadow: none;
+        color: white; }
+    .button.is-white.is-loading::after {
+      border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+    .button.is-white.is-outlined {
+      background-color: transparent;
+      border-color: white;
+      color: white; }
+      .button.is-white.is-outlined:hover, .button.is-white.is-outlined.is-hovered, .button.is-white.is-outlined:focus, .button.is-white.is-outlined.is-focused {
+        background-color: white;
+        border-color: white;
+        color: #0a0a0a; }
+      .button.is-white.is-outlined.is-loading::after {
+        border-color: transparent transparent white white !important; }
+      .button.is-white.is-outlined.is-loading:hover::after, .button.is-white.is-outlined.is-loading.is-hovered::after, .button.is-white.is-outlined.is-loading:focus::after, .button.is-white.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      .button.is-white.is-outlined[disabled], fieldset[disabled] .button.is-white.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        box-shadow: none;
+        color: white; }
+    .button.is-white.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #0a0a0a;
+      color: #0a0a0a; }
+      .button.is-white.is-inverted.is-outlined:hover, .button.is-white.is-inverted.is-outlined.is-hovered, .button.is-white.is-inverted.is-outlined:focus, .button.is-white.is-inverted.is-outlined.is-focused {
+        background-color: #0a0a0a;
+        color: white; }
+      .button.is-white.is-inverted.is-outlined.is-loading:hover::after, .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-white.is-inverted.is-outlined.is-loading:focus::after, .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent white white !important; }
+      .button.is-white.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-white.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        box-shadow: none;
+        color: #0a0a0a; }
+  .button.is-black {
+    background-color: #0a0a0a;
+    border-color: transparent;
+    color: white; }
+    .button.is-black:hover, .button.is-black.is-hovered {
+      background-color: #040404;
+      border-color: transparent;
+      color: white; }
+    .button.is-black:focus, .button.is-black.is-focused {
+      border-color: transparent;
+      color: white; }
+      .button.is-black:focus:not(:active), .button.is-black.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+    .button.is-black:active, .button.is-black.is-active {
+      background-color: black;
+      border-color: transparent;
+      color: white; }
+    .button.is-black[disabled], fieldset[disabled] .button.is-black {
+      background-color: #0a0a0a;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-black.is-inverted {
+      background-color: white;
+      color: #0a0a0a; }
+      .button.is-black.is-inverted:hover, .button.is-black.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-black.is-inverted[disabled], fieldset[disabled] .button.is-black.is-inverted {
+        background-color: white;
+        border-color: transparent;
+        box-shadow: none;
+        color: #0a0a0a; }
+    .button.is-black.is-loading::after {
+      border-color: transparent transparent white white !important; }
+    .button.is-black.is-outlined {
+      background-color: transparent;
+      border-color: #0a0a0a;
+      color: #0a0a0a; }
+      .button.is-black.is-outlined:hover, .button.is-black.is-outlined.is-hovered, .button.is-black.is-outlined:focus, .button.is-black.is-outlined.is-focused {
+        background-color: #0a0a0a;
+        border-color: #0a0a0a;
+        color: white; }
+      .button.is-black.is-outlined.is-loading::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      .button.is-black.is-outlined.is-loading:hover::after, .button.is-black.is-outlined.is-loading.is-hovered::after, .button.is-black.is-outlined.is-loading:focus::after, .button.is-black.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent white white !important; }
+      .button.is-black.is-outlined[disabled], fieldset[disabled] .button.is-black.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        box-shadow: none;
+        color: #0a0a0a; }
+    .button.is-black.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: white;
+      color: white; }
+      .button.is-black.is-inverted.is-outlined:hover, .button.is-black.is-inverted.is-outlined.is-hovered, .button.is-black.is-inverted.is-outlined:focus, .button.is-black.is-inverted.is-outlined.is-focused {
+        background-color: white;
+        color: #0a0a0a; }
+      .button.is-black.is-inverted.is-outlined.is-loading:hover::after, .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-black.is-inverted.is-outlined.is-loading:focus::after, .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      .button.is-black.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-black.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        box-shadow: none;
+        color: white; }
+  .button.is-light {
+    background-color: whitesmoke;
+    border-color: transparent;
+    color: #363636; }
+    .button.is-light:hover, .button.is-light.is-hovered {
+      background-color: #eeeeee;
+      border-color: transparent;
+      color: #363636; }
+    .button.is-light:focus, .button.is-light.is-focused {
+      border-color: transparent;
+      color: #363636; }
+      .button.is-light:focus:not(:active), .button.is-light.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); }
+    .button.is-light:active, .button.is-light.is-active {
+      background-color: #e8e8e8;
+      border-color: transparent;
+      color: #363636; }
+    .button.is-light[disabled], fieldset[disabled] .button.is-light {
+      background-color: whitesmoke;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-light.is-inverted {
+      background-color: #363636;
+      color: whitesmoke; }
+      .button.is-light.is-inverted:hover, .button.is-light.is-inverted.is-hovered {
+        background-color: #292929; }
+      .button.is-light.is-inverted[disabled], fieldset[disabled] .button.is-light.is-inverted {
+        background-color: #363636;
+        border-color: transparent;
+        box-shadow: none;
+        color: whitesmoke; }
+    .button.is-light.is-loading::after {
+      border-color: transparent transparent #363636 #363636 !important; }
+    .button.is-light.is-outlined {
+      background-color: transparent;
+      border-color: whitesmoke;
+      color: whitesmoke; }
+      .button.is-light.is-outlined:hover, .button.is-light.is-outlined.is-hovered, .button.is-light.is-outlined:focus, .button.is-light.is-outlined.is-focused {
+        background-color: whitesmoke;
+        border-color: whitesmoke;
+        color: #363636; }
+      .button.is-light.is-outlined.is-loading::after {
+        border-color: transparent transparent whitesmoke whitesmoke !important; }
+      .button.is-light.is-outlined.is-loading:hover::after, .button.is-light.is-outlined.is-loading.is-hovered::after, .button.is-light.is-outlined.is-loading:focus::after, .button.is-light.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #363636 #363636 !important; }
+      .button.is-light.is-outlined[disabled], fieldset[disabled] .button.is-light.is-outlined {
+        background-color: transparent;
+        border-color: whitesmoke;
+        box-shadow: none;
+        color: whitesmoke; }
+    .button.is-light.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #363636;
+      color: #363636; }
+      .button.is-light.is-inverted.is-outlined:hover, .button.is-light.is-inverted.is-outlined.is-hovered, .button.is-light.is-inverted.is-outlined:focus, .button.is-light.is-inverted.is-outlined.is-focused {
+        background-color: #363636;
+        color: whitesmoke; }
+      .button.is-light.is-inverted.is-outlined.is-loading:hover::after, .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-light.is-inverted.is-outlined.is-loading:focus::after, .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent whitesmoke whitesmoke !important; }
+      .button.is-light.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-light.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #363636;
+        box-shadow: none;
+        color: #363636; }
+  .button.is-dark, .content kbd.button {
+    background-color: #363636;
+    border-color: transparent;
+    color: whitesmoke; }
+    .button.is-dark:hover, .content kbd.button:hover, .button.is-dark.is-hovered, .content kbd.button.is-hovered {
+      background-color: #2f2f2f;
+      border-color: transparent;
+      color: whitesmoke; }
+    .button.is-dark:focus, .content kbd.button:focus, .button.is-dark.is-focused, .content kbd.button.is-focused {
+      border-color: transparent;
+      color: whitesmoke; }
+      .button.is-dark:focus:not(:active), .content kbd.button:focus:not(:active), .button.is-dark.is-focused:not(:active), .content kbd.button.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); }
+    .button.is-dark:active, .content kbd.button:active, .button.is-dark.is-active, .content kbd.button.is-active {
+      background-color: #292929;
+      border-color: transparent;
+      color: whitesmoke; }
+    .button.is-dark[disabled], .content kbd.button[disabled], fieldset[disabled] .button.is-dark, fieldset[disabled] .content kbd.button, .content fieldset[disabled] kbd.button {
+      background-color: #363636;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-dark.is-inverted, .content kbd.button.is-inverted {
+      background-color: whitesmoke;
+      color: #363636; }
+      .button.is-dark.is-inverted:hover, .content kbd.button.is-inverted:hover, .button.is-dark.is-inverted.is-hovered, .content kbd.button.is-inverted.is-hovered {
+        background-color: #e8e8e8; }
+      .button.is-dark.is-inverted[disabled], .content kbd.button.is-inverted[disabled], fieldset[disabled] .button.is-dark.is-inverted, fieldset[disabled] .content kbd.button.is-inverted, .content fieldset[disabled] kbd.button.is-inverted {
+        background-color: whitesmoke;
+        border-color: transparent;
+        box-shadow: none;
+        color: #363636; }
+    .button.is-dark.is-loading::after, .content kbd.button.is-loading::after {
+      border-color: transparent transparent whitesmoke whitesmoke !important; }
+    .button.is-dark.is-outlined, .content kbd.button.is-outlined {
+      background-color: transparent;
+      border-color: #363636;
+      color: #363636; }
+      .button.is-dark.is-outlined:hover, .content kbd.button.is-outlined:hover, .button.is-dark.is-outlined.is-hovered, .content kbd.button.is-outlined.is-hovered, .button.is-dark.is-outlined:focus, .content kbd.button.is-outlined:focus, .button.is-dark.is-outlined.is-focused, .content kbd.button.is-outlined.is-focused {
+        background-color: #363636;
+        border-color: #363636;
+        color: whitesmoke; }
+      .button.is-dark.is-outlined.is-loading::after, .content kbd.button.is-outlined.is-loading::after {
+        border-color: transparent transparent #363636 #363636 !important; }
+      .button.is-dark.is-outlined.is-loading:hover::after, .content kbd.button.is-outlined.is-loading:hover::after, .button.is-dark.is-outlined.is-loading.is-hovered::after, .content kbd.button.is-outlined.is-loading.is-hovered::after, .button.is-dark.is-outlined.is-loading:focus::after, .content kbd.button.is-outlined.is-loading:focus::after, .button.is-dark.is-outlined.is-loading.is-focused::after, .content kbd.button.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent whitesmoke whitesmoke !important; }
+      .button.is-dark.is-outlined[disabled], .content kbd.button.is-outlined[disabled], fieldset[disabled] .button.is-dark.is-outlined, fieldset[disabled] .content kbd.button.is-outlined, .content fieldset[disabled] kbd.button.is-outlined {
+        background-color: transparent;
+        border-color: #363636;
+        box-shadow: none;
+        color: #363636; }
+    .button.is-dark.is-inverted.is-outlined, .content kbd.button.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: whitesmoke;
+      color: whitesmoke; }
+      .button.is-dark.is-inverted.is-outlined:hover, .content kbd.button.is-inverted.is-outlined:hover, .button.is-dark.is-inverted.is-outlined.is-hovered, .content kbd.button.is-inverted.is-outlined.is-hovered, .button.is-dark.is-inverted.is-outlined:focus, .content kbd.button.is-inverted.is-outlined:focus, .button.is-dark.is-inverted.is-outlined.is-focused, .content kbd.button.is-inverted.is-outlined.is-focused {
+        background-color: whitesmoke;
+        color: #363636; }
+      .button.is-dark.is-inverted.is-outlined.is-loading:hover::after, .content kbd.button.is-inverted.is-outlined.is-loading:hover::after, .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after, .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-dark.is-inverted.is-outlined.is-loading:focus::after, .content kbd.button.is-inverted.is-outlined.is-loading:focus::after, .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after, .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #363636 #363636 !important; }
+      .button.is-dark.is-inverted.is-outlined[disabled], .content kbd.button.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-dark.is-inverted.is-outlined, fieldset[disabled] .content kbd.button.is-inverted.is-outlined, .content fieldset[disabled] kbd.button.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: whitesmoke;
+        box-shadow: none;
+        color: whitesmoke; }
+  .button.is-primary, .docstring > section > a.button.docs-sourcelink {
+    background-color: #4eb5de;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-primary:hover, .docstring > section > a.button.docs-sourcelink:hover, .button.is-primary.is-hovered, .docstring > section > a.button.is-hovered.docs-sourcelink {
+      background-color: #43b1dc;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-primary:focus, .docstring > section > a.button.docs-sourcelink:focus, .button.is-primary.is-focused, .docstring > section > a.button.is-focused.docs-sourcelink {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-primary:focus:not(:active), .docstring > section > a.button.docs-sourcelink:focus:not(:active), .button.is-primary.is-focused:not(:active), .docstring > section > a.button.is-focused.docs-sourcelink:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); }
+    .button.is-primary:active, .docstring > section > a.button.docs-sourcelink:active, .button.is-primary.is-active, .docstring > section > a.button.is-active.docs-sourcelink {
+      background-color: #39acda;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-primary[disabled], .docstring > section > a.button.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary, fieldset[disabled] .docstring > section > a.button.docs-sourcelink {
+      background-color: #4eb5de;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-primary.is-inverted, .docstring > section > a.button.is-inverted.docs-sourcelink {
+      background-color: #fff;
+      color: #4eb5de; }
+      .button.is-primary.is-inverted:hover, .docstring > section > a.button.is-inverted.docs-sourcelink:hover, .button.is-primary.is-inverted.is-hovered, .docstring > section > a.button.is-inverted.is-hovered.docs-sourcelink {
+        background-color: #f2f2f2; }
+      .button.is-primary.is-inverted[disabled], .docstring > section > a.button.is-inverted.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-inverted, fieldset[disabled] .docstring > section > a.button.is-inverted.docs-sourcelink {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #4eb5de; }
+    .button.is-primary.is-loading::after, .docstring > section > a.button.is-loading.docs-sourcelink::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-primary.is-outlined, .docstring > section > a.button.is-outlined.docs-sourcelink {
+      background-color: transparent;
+      border-color: #4eb5de;
+      color: #4eb5de; }
+      .button.is-primary.is-outlined:hover, .docstring > section > a.button.is-outlined.docs-sourcelink:hover, .button.is-primary.is-outlined.is-hovered, .docstring > section > a.button.is-outlined.is-hovered.docs-sourcelink, .button.is-primary.is-outlined:focus, .docstring > section > a.button.is-outlined.docs-sourcelink:focus, .button.is-primary.is-outlined.is-focused, .docstring > section > a.button.is-outlined.is-focused.docs-sourcelink {
+        background-color: #4eb5de;
+        border-color: #4eb5de;
+        color: #fff; }
+      .button.is-primary.is-outlined.is-loading::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink::after {
+        border-color: transparent transparent #4eb5de #4eb5de !important; }
+      .button.is-primary.is-outlined.is-loading:hover::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:hover::after, .button.is-primary.is-outlined.is-loading.is-hovered::after, .docstring > section > a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after, .button.is-primary.is-outlined.is-loading:focus::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:focus::after, .button.is-primary.is-outlined.is-loading.is-focused::after, .docstring > section > a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-primary.is-outlined[disabled], .docstring > section > a.button.is-outlined.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-outlined, fieldset[disabled] .docstring > section > a.button.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #4eb5de;
+        box-shadow: none;
+        color: #4eb5de; }
+    .button.is-primary.is-inverted.is-outlined, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-primary.is-inverted.is-outlined:hover, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:hover, .button.is-primary.is-inverted.is-outlined.is-hovered, .docstring > section > a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink, .button.is-primary.is-inverted.is-outlined:focus, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:focus, .button.is-primary.is-inverted.is-outlined.is-focused, .docstring > section > a.button.is-inverted.is-outlined.is-focused.docs-sourcelink {
+        background-color: #fff;
+        color: #4eb5de; }
+      .button.is-primary.is-inverted.is-outlined.is-loading:hover::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after, .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after, .button.is-primary.is-inverted.is-outlined.is-loading:focus::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after, .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+        border-color: transparent transparent #4eb5de #4eb5de !important; }
+      .button.is-primary.is-inverted.is-outlined[disabled], .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-inverted.is-outlined, fieldset[disabled] .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-link {
+    background-color: #2e63b8;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-link:hover, .button.is-link.is-hovered {
+      background-color: #2b5eae;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-link:focus, .button.is-link.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-link:focus:not(:active), .button.is-link.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+    .button.is-link:active, .button.is-link.is-active {
+      background-color: #2958a4;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-link[disabled], fieldset[disabled] .button.is-link {
+      background-color: #2e63b8;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-link.is-inverted {
+      background-color: #fff;
+      color: #2e63b8; }
+      .button.is-link.is-inverted:hover, .button.is-link.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-link.is-inverted[disabled], fieldset[disabled] .button.is-link.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #2e63b8; }
+    .button.is-link.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-link.is-outlined {
+      background-color: transparent;
+      border-color: #2e63b8;
+      color: #2e63b8; }
+      .button.is-link.is-outlined:hover, .button.is-link.is-outlined.is-hovered, .button.is-link.is-outlined:focus, .button.is-link.is-outlined.is-focused {
+        background-color: #2e63b8;
+        border-color: #2e63b8;
+        color: #fff; }
+      .button.is-link.is-outlined.is-loading::after {
+        border-color: transparent transparent #2e63b8 #2e63b8 !important; }
+      .button.is-link.is-outlined.is-loading:hover::after, .button.is-link.is-outlined.is-loading.is-hovered::after, .button.is-link.is-outlined.is-loading:focus::after, .button.is-link.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-link.is-outlined[disabled], fieldset[disabled] .button.is-link.is-outlined {
+        background-color: transparent;
+        border-color: #2e63b8;
+        box-shadow: none;
+        color: #2e63b8; }
+    .button.is-link.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-link.is-inverted.is-outlined:hover, .button.is-link.is-inverted.is-outlined.is-hovered, .button.is-link.is-inverted.is-outlined:focus, .button.is-link.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #2e63b8; }
+      .button.is-link.is-inverted.is-outlined.is-loading:hover::after, .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-link.is-inverted.is-outlined.is-loading:focus::after, .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #2e63b8 #2e63b8 !important; }
+      .button.is-link.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-link.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-info {
+    background-color: #209cee;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-info:hover, .button.is-info.is-hovered {
+      background-color: #1497ed;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-info:focus, .button.is-info.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-info:focus:not(:active), .button.is-info.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); }
+    .button.is-info:active, .button.is-info.is-active {
+      background-color: #1190e3;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-info[disabled], fieldset[disabled] .button.is-info {
+      background-color: #209cee;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-info.is-inverted {
+      background-color: #fff;
+      color: #209cee; }
+      .button.is-info.is-inverted:hover, .button.is-info.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-info.is-inverted[disabled], fieldset[disabled] .button.is-info.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #209cee; }
+    .button.is-info.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-info.is-outlined {
+      background-color: transparent;
+      border-color: #209cee;
+      color: #209cee; }
+      .button.is-info.is-outlined:hover, .button.is-info.is-outlined.is-hovered, .button.is-info.is-outlined:focus, .button.is-info.is-outlined.is-focused {
+        background-color: #209cee;
+        border-color: #209cee;
+        color: #fff; }
+      .button.is-info.is-outlined.is-loading::after {
+        border-color: transparent transparent #209cee #209cee !important; }
+      .button.is-info.is-outlined.is-loading:hover::after, .button.is-info.is-outlined.is-loading.is-hovered::after, .button.is-info.is-outlined.is-loading:focus::after, .button.is-info.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-info.is-outlined[disabled], fieldset[disabled] .button.is-info.is-outlined {
+        background-color: transparent;
+        border-color: #209cee;
+        box-shadow: none;
+        color: #209cee; }
+    .button.is-info.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-info.is-inverted.is-outlined:hover, .button.is-info.is-inverted.is-outlined.is-hovered, .button.is-info.is-inverted.is-outlined:focus, .button.is-info.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #209cee; }
+      .button.is-info.is-inverted.is-outlined.is-loading:hover::after, .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-info.is-inverted.is-outlined.is-loading:focus::after, .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #209cee #209cee !important; }
+      .button.is-info.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-info.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-success {
+    background-color: #22c35b;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-success:hover, .button.is-success.is-hovered {
+      background-color: #20b856;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-success:focus, .button.is-success.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-success:focus:not(:active), .button.is-success.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); }
+    .button.is-success:active, .button.is-success.is-active {
+      background-color: #1ead51;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-success[disabled], fieldset[disabled] .button.is-success {
+      background-color: #22c35b;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-success.is-inverted {
+      background-color: #fff;
+      color: #22c35b; }
+      .button.is-success.is-inverted:hover, .button.is-success.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-success.is-inverted[disabled], fieldset[disabled] .button.is-success.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #22c35b; }
+    .button.is-success.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-success.is-outlined {
+      background-color: transparent;
+      border-color: #22c35b;
+      color: #22c35b; }
+      .button.is-success.is-outlined:hover, .button.is-success.is-outlined.is-hovered, .button.is-success.is-outlined:focus, .button.is-success.is-outlined.is-focused {
+        background-color: #22c35b;
+        border-color: #22c35b;
+        color: #fff; }
+      .button.is-success.is-outlined.is-loading::after {
+        border-color: transparent transparent #22c35b #22c35b !important; }
+      .button.is-success.is-outlined.is-loading:hover::after, .button.is-success.is-outlined.is-loading.is-hovered::after, .button.is-success.is-outlined.is-loading:focus::after, .button.is-success.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-success.is-outlined[disabled], fieldset[disabled] .button.is-success.is-outlined {
+        background-color: transparent;
+        border-color: #22c35b;
+        box-shadow: none;
+        color: #22c35b; }
+    .button.is-success.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-success.is-inverted.is-outlined:hover, .button.is-success.is-inverted.is-outlined.is-hovered, .button.is-success.is-inverted.is-outlined:focus, .button.is-success.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #22c35b; }
+      .button.is-success.is-inverted.is-outlined.is-loading:hover::after, .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-success.is-inverted.is-outlined.is-loading:focus::after, .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #22c35b #22c35b !important; }
+      .button.is-success.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-success.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-warning {
+    background-color: #ffdd57;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+    .button.is-warning:hover, .button.is-warning.is-hovered {
+      background-color: #ffda4a;
+      border-color: transparent;
+      color: rgba(0, 0, 0, 0.7); }
+    .button.is-warning:focus, .button.is-warning.is-focused {
+      border-color: transparent;
+      color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning:focus:not(:active), .button.is-warning.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); }
+    .button.is-warning:active, .button.is-warning.is-active {
+      background-color: #ffd83e;
+      border-color: transparent;
+      color: rgba(0, 0, 0, 0.7); }
+    .button.is-warning[disabled], fieldset[disabled] .button.is-warning {
+      background-color: #ffdd57;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-warning.is-inverted {
+      background-color: rgba(0, 0, 0, 0.7);
+      color: #ffdd57; }
+      .button.is-warning.is-inverted:hover, .button.is-warning.is-inverted.is-hovered {
+        background-color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning.is-inverted[disabled], fieldset[disabled] .button.is-warning.is-inverted {
+        background-color: rgba(0, 0, 0, 0.7);
+        border-color: transparent;
+        box-shadow: none;
+        color: #ffdd57; }
+    .button.is-warning.is-loading::after {
+      border-color: transparent transparent rgba(0, 0, 0, 0.7) rgba(0, 0, 0, 0.7) !important; }
+    .button.is-warning.is-outlined {
+      background-color: transparent;
+      border-color: #ffdd57;
+      color: #ffdd57; }
+      .button.is-warning.is-outlined:hover, .button.is-warning.is-outlined.is-hovered, .button.is-warning.is-outlined:focus, .button.is-warning.is-outlined.is-focused {
+        background-color: #ffdd57;
+        border-color: #ffdd57;
+        color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning.is-outlined.is-loading::after {
+        border-color: transparent transparent #ffdd57 #ffdd57 !important; }
+      .button.is-warning.is-outlined.is-loading:hover::after, .button.is-warning.is-outlined.is-loading.is-hovered::after, .button.is-warning.is-outlined.is-loading:focus::after, .button.is-warning.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent rgba(0, 0, 0, 0.7) rgba(0, 0, 0, 0.7) !important; }
+      .button.is-warning.is-outlined[disabled], fieldset[disabled] .button.is-warning.is-outlined {
+        background-color: transparent;
+        border-color: #ffdd57;
+        box-shadow: none;
+        color: #ffdd57; }
+    .button.is-warning.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: rgba(0, 0, 0, 0.7);
+      color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning.is-inverted.is-outlined:hover, .button.is-warning.is-inverted.is-outlined.is-hovered, .button.is-warning.is-inverted.is-outlined:focus, .button.is-warning.is-inverted.is-outlined.is-focused {
+        background-color: rgba(0, 0, 0, 0.7);
+        color: #ffdd57; }
+      .button.is-warning.is-inverted.is-outlined.is-loading:hover::after, .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-warning.is-inverted.is-outlined.is-loading:focus::after, .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #ffdd57 #ffdd57 !important; }
+      .button.is-warning.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-warning.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: rgba(0, 0, 0, 0.7);
+        box-shadow: none;
+        color: rgba(0, 0, 0, 0.7); }
+  .button.is-danger {
+    background-color: #da0b00;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-danger:hover, .button.is-danger.is-hovered {
+      background-color: #cd0a00;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-danger:focus, .button.is-danger.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-danger:focus:not(:active), .button.is-danger.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); }
+    .button.is-danger:active, .button.is-danger.is-active {
+      background-color: #c10a00;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-danger[disabled], fieldset[disabled] .button.is-danger {
+      background-color: #da0b00;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-danger.is-inverted {
+      background-color: #fff;
+      color: #da0b00; }
+      .button.is-danger.is-inverted:hover, .button.is-danger.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-danger.is-inverted[disabled], fieldset[disabled] .button.is-danger.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #da0b00; }
+    .button.is-danger.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-danger.is-outlined {
+      background-color: transparent;
+      border-color: #da0b00;
+      color: #da0b00; }
+      .button.is-danger.is-outlined:hover, .button.is-danger.is-outlined.is-hovered, .button.is-danger.is-outlined:focus, .button.is-danger.is-outlined.is-focused {
+        background-color: #da0b00;
+        border-color: #da0b00;
+        color: #fff; }
+      .button.is-danger.is-outlined.is-loading::after {
+        border-color: transparent transparent #da0b00 #da0b00 !important; }
+      .button.is-danger.is-outlined.is-loading:hover::after, .button.is-danger.is-outlined.is-loading.is-hovered::after, .button.is-danger.is-outlined.is-loading:focus::after, .button.is-danger.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-danger.is-outlined[disabled], fieldset[disabled] .button.is-danger.is-outlined {
+        background-color: transparent;
+        border-color: #da0b00;
+        box-shadow: none;
+        color: #da0b00; }
+    .button.is-danger.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-danger.is-inverted.is-outlined:hover, .button.is-danger.is-inverted.is-outlined.is-hovered, .button.is-danger.is-inverted.is-outlined:focus, .button.is-danger.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #da0b00; }
+      .button.is-danger.is-inverted.is-outlined.is-loading:hover::after, .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-danger.is-inverted.is-outlined.is-loading:focus::after, .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #da0b00 #da0b00 !important; }
+      .button.is-danger.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-danger.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-small, #documenter .docs-sidebar form.docs-search > input.button {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .button.is-normal {
+    font-size: 1rem; }
+  .button.is-medium {
+    font-size: 1.25rem; }
+  .button.is-large {
+    font-size: 1.5rem; }
+  .button[disabled], fieldset[disabled] .button {
+    background-color: white;
+    border-color: #dbdbdb;
+    box-shadow: none;
+    opacity: 0.5; }
+  .button.is-fullwidth {
+    display: flex;
+    width: 100%; }
+  .button.is-loading {
+    color: transparent !important;
+    pointer-events: none; }
+    .button.is-loading::after {
+      position: absolute;
+      left: calc(50% - (1em / 2));
+      top: calc(50% - (1em / 2));
+      position: absolute !important; }
+  .button.is-static {
+    background-color: whitesmoke;
+    border-color: #dbdbdb;
+    color: #6b6b6b;
+    box-shadow: none;
+    pointer-events: none; }
+  .button.is-rounded, #documenter .docs-sidebar form.docs-search > input.button {
+    border-radius: 290486px;
+    padding-left: 1em;
+    padding-right: 1em; }
+
+.buttons {
+  align-items: center;
+  display: flex;
+  flex-wrap: wrap;
+  justify-content: flex-start; }
+  .buttons .button {
+    margin-bottom: 0.5rem; }
+    .buttons .button:not(:last-child):not(.is-fullwidth) {
+      margin-right: 0.5rem; }
+  .buttons:last-child {
+    margin-bottom: -0.5rem; }
+  .buttons:not(:last-child) {
+    margin-bottom: 1rem; }
+  .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large) {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large) {
+    font-size: 1.25rem; }
+  .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium) {
+    font-size: 1.5rem; }
+  .buttons.has-addons .button:not(:first-child) {
+    border-bottom-left-radius: 0;
+    border-top-left-radius: 0; }
+  .buttons.has-addons .button:not(:last-child) {
+    border-bottom-right-radius: 0;
+    border-top-right-radius: 0;
+    margin-right: -1px; }
+  .buttons.has-addons .button:last-child {
+    margin-right: 0; }
+  .buttons.has-addons .button:hover, .buttons.has-addons .button.is-hovered {
+    z-index: 2; }
+  .buttons.has-addons .button:focus, .buttons.has-addons .button.is-focused, .buttons.has-addons .button:active, .buttons.has-addons .button.is-active, .buttons.has-addons .button.is-selected {
+    z-index: 3; }
+    .buttons.has-addons .button:focus:hover, .buttons.has-addons .button.is-focused:hover, .buttons.has-addons .button:active:hover, .buttons.has-addons .button.is-active:hover, .buttons.has-addons .button.is-selected:hover {
+      z-index: 4; }
+  .buttons.has-addons .button.is-expanded {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .buttons.is-centered {
+    justify-content: center; }
+    .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth) {
+      margin-left: 0.25rem;
+      margin-right: 0.25rem; }
+  .buttons.is-right {
+    justify-content: flex-end; }
+    .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth) {
+      margin-left: 0.25rem;
+      margin-right: 0.25rem; }
+
+.container {
+  flex-grow: 1;
+  margin: 0 auto;
+  position: relative;
+  width: auto; }
+  @media screen and (min-width: 1056px) {
+    .container {
+      max-width: 992px; }
+      .container.is-fluid {
+        margin-left: 32px;
+        margin-right: 32px;
+        max-width: none; } }
+  @media screen and (max-width: 1215px) {
+    .container.is-widescreen {
+      max-width: 1152px; } }
+  @media screen and (max-width: 1407px) {
+    .container.is-fullhd {
+      max-width: 1344px; } }
+  @media screen and (min-width: 1216px) {
+    .container {
+      max-width: 1152px; } }
+  @media screen and (min-width: 1408px) {
+    .container {
+      max-width: 1344px; } }
+.content li + li {
+  margin-top: 0.25em; }
+
+.content p:not(:last-child),
+.content dl:not(:last-child),
+.content ol:not(:last-child),
+.content ul:not(:last-child),
+.content blockquote:not(:last-child),
+.content pre:not(:last-child),
+.content table:not(:last-child) {
+  margin-bottom: 1em; }
+
+.content h1,
+.content h2,
+.content h3,
+.content h4,
+.content h5,
+.content h6 {
+  color: #222222;
+  font-weight: 600;
+  line-height: 1.125; }
+
+.content h1 {
+  font-size: 2em;
+  margin-bottom: 0.5em; }
+  .content h1:not(:first-child) {
+    margin-top: 1em; }
+
+.content h2 {
+  font-size: 1.75em;
+  margin-bottom: 0.5714em; }
+  .content h2:not(:first-child) {
+    margin-top: 1.1428em; }
+
+.content h3 {
+  font-size: 1.5em;
+  margin-bottom: 0.6666em; }
+  .content h3:not(:first-child) {
+    margin-top: 1.3333em; }
+
+.content h4 {
+  font-size: 1.25em;
+  margin-bottom: 0.8em; }
+
+.content h5 {
+  font-size: 1.125em;
+  margin-bottom: 0.8888em; }
+
+.content h6 {
+  font-size: 1em;
+  margin-bottom: 1em; }
+
+.content blockquote {
+  background-color: whitesmoke;
+  border-left: 5px solid #dbdbdb;
+  padding: 1.25em 1.5em; }
+
+.content ol {
+  list-style-position: outside;
+  margin-left: 2em;
+  margin-top: 1em; }
+  .content ol:not([type]) {
+    list-style-type: decimal; }
+    .content ol.is-lower-alpha:not([type]) {
+      list-style-type: lower-alpha; }
+    .content ol.is-lower-roman:not([type]) {
+      list-style-type: lower-roman; }
+    .content ol.is-upper-alpha:not([type]) {
+      list-style-type: upper-alpha; }
+    .content ol.is-upper-roman:not([type]) {
+      list-style-type: upper-roman; }
+
+.content ul {
+  list-style: disc outside;
+  margin-left: 2em;
+  margin-top: 1em; }
+  .content ul ul {
+    list-style-type: circle;
+    margin-top: 0.5em; }
+    .content ul ul ul {
+      list-style-type: square; }
+
+.content dd {
+  margin-left: 2em; }
+
+.content figure {
+  margin-left: 2em;
+  margin-right: 2em;
+  text-align: center; }
+  .content figure:not(:first-child) {
+    margin-top: 2em; }
+  .content figure:not(:last-child) {
+    margin-bottom: 2em; }
+  .content figure img {
+    display: inline-block; }
+  .content figure figcaption {
+    font-style: italic; }
+
+.content pre {
+  -webkit-overflow-scrolling: touch;
+  overflow-x: auto;
+  padding: 0;
+  white-space: pre;
+  word-wrap: normal; }
+
+.content sup,
+.content sub {
+  font-size: 75%; }
+
+.content table {
+  width: 100%; }
+  .content table td,
+  .content table th {
+    border: 1px solid #dbdbdb;
+    border-width: 0 0 1px;
+    padding: 0.5em 0.75em;
+    vertical-align: top; }
+  .content table th {
+    color: #222222; }
+    .content table th:not([align]) {
+      text-align: left; }
+  .content table thead td,
+  .content table thead th {
+    border-width: 0 0 2px;
+    color: #222222; }
+  .content table tfoot td,
+  .content table tfoot th {
+    border-width: 2px 0 0;
+    color: #222222; }
+  .content table tbody tr:last-child td,
+  .content table tbody tr:last-child th {
+    border-bottom-width: 0; }
+
+.content .tabs li + li {
+  margin-top: 0; }
+
+.content.is-small, #documenter .docs-sidebar form.docs-search > input.content {
+  font-size: 0.75rem; }
+
+.content.is-medium {
+  font-size: 1.25rem; }
+
+.content.is-large {
+  font-size: 1.5rem; }
+
+.icon {
+  align-items: center;
+  display: inline-flex;
+  justify-content: center;
+  height: 1.5rem;
+  width: 1.5rem; }
+  .icon.is-small, #documenter .docs-sidebar form.docs-search > input.icon {
+    height: 1rem;
+    width: 1rem; }
+  .icon.is-medium {
+    height: 2rem;
+    width: 2rem; }
+  .icon.is-large {
+    height: 3rem;
+    width: 3rem; }
+
+.image, #documenter .docs-sidebar .docs-logo > img {
+  display: block;
+  position: relative; }
+  .image img, #documenter .docs-sidebar .docs-logo > img img {
+    display: block;
+    height: auto;
+    width: 100%; }
+    .image img.is-rounded, #documenter .docs-sidebar .docs-logo > img img.is-rounded {
+      border-radius: 290486px; }
+  .image.is-square img, #documenter .docs-sidebar .docs-logo > img.is-square img,
+  .image.is-square .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, .image.is-1by1 img, #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+  .image.is-1by1 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, .image.is-5by4 img, #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+  .image.is-5by4 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, .image.is-4by3 img, #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+  .image.is-4by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, .image.is-3by2 img, #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+  .image.is-3by2 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, .image.is-5by3 img, #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+  .image.is-5by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, .image.is-16by9 img, #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+  .image.is-16by9 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, .image.is-2by1 img, #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+  .image.is-2by1 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, .image.is-3by1 img, #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+  .image.is-3by1 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, .image.is-4by5 img, #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+  .image.is-4by5 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, .image.is-3by4 img, #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+  .image.is-3by4 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, .image.is-2by3 img, #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+  .image.is-2by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, .image.is-3by5 img, #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+  .image.is-3by5 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, .image.is-9by16 img, #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+  .image.is-9by16 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, .image.is-1by2 img, #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+  .image.is-1by2 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, .image.is-1by3 img, #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+  .image.is-1by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio {
+    height: 100%;
+    width: 100%; }
+  .image.is-square, #documenter .docs-sidebar .docs-logo > img.is-square, .image.is-1by1, #documenter .docs-sidebar .docs-logo > img.is-1by1 {
+    padding-top: 100%; }
+  .image.is-5by4, #documenter .docs-sidebar .docs-logo > img.is-5by4 {
+    padding-top: 80%; }
+  .image.is-4by3, #documenter .docs-sidebar .docs-logo > img.is-4by3 {
+    padding-top: 75%; }
+  .image.is-3by2, #documenter .docs-sidebar .docs-logo > img.is-3by2 {
+    padding-top: 66.6666%; }
+  .image.is-5by3, #documenter .docs-sidebar .docs-logo > img.is-5by3 {
+    padding-top: 60%; }
+  .image.is-16by9, #documenter .docs-sidebar .docs-logo > img.is-16by9 {
+    padding-top: 56.25%; }
+  .image.is-2by1, #documenter .docs-sidebar .docs-logo > img.is-2by1 {
+    padding-top: 50%; }
+  .image.is-3by1, #documenter .docs-sidebar .docs-logo > img.is-3by1 {
+    padding-top: 33.3333%; }
+  .image.is-4by5, #documenter .docs-sidebar .docs-logo > img.is-4by5 {
+    padding-top: 125%; }
+  .image.is-3by4, #documenter .docs-sidebar .docs-logo > img.is-3by4 {
+    padding-top: 133.3333%; }
+  .image.is-2by3, #documenter .docs-sidebar .docs-logo > img.is-2by3 {
+    padding-top: 150%; }
+  .image.is-3by5, #documenter .docs-sidebar .docs-logo > img.is-3by5 {
+    padding-top: 166.6666%; }
+  .image.is-9by16, #documenter .docs-sidebar .docs-logo > img.is-9by16 {
+    padding-top: 177.7777%; }
+  .image.is-1by2, #documenter .docs-sidebar .docs-logo > img.is-1by2 {
+    padding-top: 200%; }
+  .image.is-1by3, #documenter .docs-sidebar .docs-logo > img.is-1by3 {
+    padding-top: 300%; }
+  .image.is-16x16, #documenter .docs-sidebar .docs-logo > img.is-16x16 {
+    height: 16px;
+    width: 16px; }
+  .image.is-24x24, #documenter .docs-sidebar .docs-logo > img.is-24x24 {
+    height: 24px;
+    width: 24px; }
+  .image.is-32x32, #documenter .docs-sidebar .docs-logo > img.is-32x32 {
+    height: 32px;
+    width: 32px; }
+  .image.is-48x48, #documenter .docs-sidebar .docs-logo > img.is-48x48 {
+    height: 48px;
+    width: 48px; }
+  .image.is-64x64, #documenter .docs-sidebar .docs-logo > img.is-64x64 {
+    height: 64px;
+    width: 64px; }
+  .image.is-96x96, #documenter .docs-sidebar .docs-logo > img.is-96x96 {
+    height: 96px;
+    width: 96px; }
+  .image.is-128x128, #documenter .docs-sidebar .docs-logo > img.is-128x128 {
+    height: 128px;
+    width: 128px; }
+
+.notification {
+  background-color: whitesmoke;
+  border-radius: 4px;
+  padding: 1.25rem 2.5rem 1.25rem 1.5rem;
+  position: relative; }
+  .notification a:not(.button):not(.dropdown-item) {
+    color: currentColor;
+    text-decoration: underline; }
+  .notification strong {
+    color: currentColor; }
+  .notification code,
+  .notification pre {
+    background: white; }
+  .notification pre code {
+    background: transparent; }
+  .notification > .delete {
+    position: absolute;
+    right: 0.5rem;
+    top: 0.5rem; }
+  .notification .title,
+  .notification .subtitle,
+  .notification .content {
+    color: currentColor; }
+  .notification.is-white {
+    background-color: white;
+    color: #0a0a0a; }
+  .notification.is-black {
+    background-color: #0a0a0a;
+    color: white; }
+  .notification.is-light {
+    background-color: whitesmoke;
+    color: #363636; }
+  .notification.is-dark, .content kbd.notification {
+    background-color: #363636;
+    color: whitesmoke; }
+  .notification.is-primary, .docstring > section > a.notification.docs-sourcelink {
+    background-color: #4eb5de;
+    color: #fff; }
+  .notification.is-link {
+    background-color: #2e63b8;
+    color: #fff; }
+  .notification.is-info {
+    background-color: #209cee;
+    color: #fff; }
+  .notification.is-success {
+    background-color: #22c35b;
+    color: #fff; }
+  .notification.is-warning {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+  .notification.is-danger {
+    background-color: #da0b00;
+    color: #fff; }
+
+.progress {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  border: none;
+  border-radius: 290486px;
+  display: block;
+  height: 1rem;
+  overflow: hidden;
+  padding: 0;
+  width: 100%; }
+  .progress::-webkit-progress-bar {
+    background-color: #dbdbdb; }
+  .progress::-webkit-progress-value {
+    background-color: #222222; }
+  .progress::-moz-progress-bar {
+    background-color: #222222; }
+  .progress::-ms-fill {
+    background-color: #222222;
+    border: none; }
+  .progress.is-white::-webkit-progress-value {
+    background-color: white; }
+  .progress.is-white::-moz-progress-bar {
+    background-color: white; }
+  .progress.is-white::-ms-fill {
+    background-color: white; }
+  .progress.is-white:indeterminate {
+    background-image: linear-gradient(to right, white 30%, #dbdbdb 30%); }
+  .progress.is-black::-webkit-progress-value {
+    background-color: #0a0a0a; }
+  .progress.is-black::-moz-progress-bar {
+    background-color: #0a0a0a; }
+  .progress.is-black::-ms-fill {
+    background-color: #0a0a0a; }
+  .progress.is-black:indeterminate {
+    background-image: linear-gradient(to right, #0a0a0a 30%, #dbdbdb 30%); }
+  .progress.is-light::-webkit-progress-value {
+    background-color: whitesmoke; }
+  .progress.is-light::-moz-progress-bar {
+    background-color: whitesmoke; }
+  .progress.is-light::-ms-fill {
+    background-color: whitesmoke; }
+  .progress.is-light:indeterminate {
+    background-image: linear-gradient(to right, whitesmoke 30%, #dbdbdb 30%); }
+  .progress.is-dark::-webkit-progress-value, .content kbd.progress::-webkit-progress-value {
+    background-color: #363636; }
+  .progress.is-dark::-moz-progress-bar, .content kbd.progress::-moz-progress-bar {
+    background-color: #363636; }
+  .progress.is-dark::-ms-fill, .content kbd.progress::-ms-fill {
+    background-color: #363636; }
+  .progress.is-dark:indeterminate, .content kbd.progress:indeterminate {
+    background-image: linear-gradient(to right, #363636 30%, #dbdbdb 30%); }
+  .progress.is-primary::-webkit-progress-value, .docstring > section > a.progress.docs-sourcelink::-webkit-progress-value {
+    background-color: #4eb5de; }
+  .progress.is-primary::-moz-progress-bar, .docstring > section > a.progress.docs-sourcelink::-moz-progress-bar {
+    background-color: #4eb5de; }
+  .progress.is-primary::-ms-fill, .docstring > section > a.progress.docs-sourcelink::-ms-fill {
+    background-color: #4eb5de; }
+  .progress.is-primary:indeterminate, .docstring > section > a.progress.docs-sourcelink:indeterminate {
+    background-image: linear-gradient(to right, #4eb5de 30%, #dbdbdb 30%); }
+  .progress.is-link::-webkit-progress-value {
+    background-color: #2e63b8; }
+  .progress.is-link::-moz-progress-bar {
+    background-color: #2e63b8; }
+  .progress.is-link::-ms-fill {
+    background-color: #2e63b8; }
+  .progress.is-link:indeterminate {
+    background-image: linear-gradient(to right, #2e63b8 30%, #dbdbdb 30%); }
+  .progress.is-info::-webkit-progress-value {
+    background-color: #209cee; }
+  .progress.is-info::-moz-progress-bar {
+    background-color: #209cee; }
+  .progress.is-info::-ms-fill {
+    background-color: #209cee; }
+  .progress.is-info:indeterminate {
+    background-image: linear-gradient(to right, #209cee 30%, #dbdbdb 30%); }
+  .progress.is-success::-webkit-progress-value {
+    background-color: #22c35b; }
+  .progress.is-success::-moz-progress-bar {
+    background-color: #22c35b; }
+  .progress.is-success::-ms-fill {
+    background-color: #22c35b; }
+  .progress.is-success:indeterminate {
+    background-image: linear-gradient(to right, #22c35b 30%, #dbdbdb 30%); }
+  .progress.is-warning::-webkit-progress-value {
+    background-color: #ffdd57; }
+  .progress.is-warning::-moz-progress-bar {
+    background-color: #ffdd57; }
+  .progress.is-warning::-ms-fill {
+    background-color: #ffdd57; }
+  .progress.is-warning:indeterminate {
+    background-image: linear-gradient(to right, #ffdd57 30%, #dbdbdb 30%); }
+  .progress.is-danger::-webkit-progress-value {
+    background-color: #da0b00; }
+  .progress.is-danger::-moz-progress-bar {
+    background-color: #da0b00; }
+  .progress.is-danger::-ms-fill {
+    background-color: #da0b00; }
+  .progress.is-danger:indeterminate {
+    background-image: linear-gradient(to right, #da0b00 30%, #dbdbdb 30%); }
+  .progress:indeterminate {
+    animation-duration: 1.5s;
+    animation-iteration-count: infinite;
+    animation-name: moveIndeterminate;
+    animation-timing-function: linear;
+    background-color: #dbdbdb;
+    background-image: linear-gradient(to right, #222222 30%, #dbdbdb 30%);
+    background-position: top left;
+    background-repeat: no-repeat;
+    background-size: 150% 150%; }
+    .progress:indeterminate::-webkit-progress-bar {
+      background-color: transparent; }
+    .progress:indeterminate::-moz-progress-bar {
+      background-color: transparent; }
+  .progress.is-small, #documenter .docs-sidebar form.docs-search > input.progress {
+    height: 0.75rem; }
+  .progress.is-medium {
+    height: 1.25rem; }
+  .progress.is-large {
+    height: 1.5rem; }
+
+@keyframes moveIndeterminate {
+  from {
+    background-position: 200% 0; }
+  to {
+    background-position: -200% 0; } }
+
+.table {
+  background-color: white;
+  color: #363636; }
+  .table td,
+  .table th {
+    border: 1px solid #dbdbdb;
+    border-width: 0 0 1px;
+    padding: 0.5em 0.75em;
+    vertical-align: top; }
+    .table td.is-white,
+    .table th.is-white {
+      background-color: white;
+      border-color: white;
+      color: #0a0a0a; }
+    .table td.is-black,
+    .table th.is-black {
+      background-color: #0a0a0a;
+      border-color: #0a0a0a;
+      color: white; }
+    .table td.is-light,
+    .table th.is-light {
+      background-color: whitesmoke;
+      border-color: whitesmoke;
+      color: #363636; }
+    .table td.is-dark,
+    .table th.is-dark {
+      background-color: #363636;
+      border-color: #363636;
+      color: whitesmoke; }
+    .table td.is-primary,
+    .table th.is-primary {
+      background-color: #4eb5de;
+      border-color: #4eb5de;
+      color: #fff; }
+    .table td.is-link,
+    .table th.is-link {
+      background-color: #2e63b8;
+      border-color: #2e63b8;
+      color: #fff; }
+    .table td.is-info,
+    .table th.is-info {
+      background-color: #209cee;
+      border-color: #209cee;
+      color: #fff; }
+    .table td.is-success,
+    .table th.is-success {
+      background-color: #22c35b;
+      border-color: #22c35b;
+      color: #fff; }
+    .table td.is-warning,
+    .table th.is-warning {
+      background-color: #ffdd57;
+      border-color: #ffdd57;
+      color: rgba(0, 0, 0, 0.7); }
+    .table td.is-danger,
+    .table th.is-danger {
+      background-color: #da0b00;
+      border-color: #da0b00;
+      color: #fff; }
+    .table td.is-narrow,
+    .table th.is-narrow {
+      white-space: nowrap;
+      width: 1%; }
+    .table td.is-selected,
+    .table th.is-selected {
+      background-color: #4eb5de;
+      color: #fff; }
+      .table td.is-selected a,
+      .table td.is-selected strong,
+      .table th.is-selected a,
+      .table th.is-selected strong {
+        color: currentColor; }
+  .table th {
+    color: #222222; }
+    .table th:not([align]) {
+      text-align: left; }
+  .table tr.is-selected {
+    background-color: #4eb5de;
+    color: #fff; }
+    .table tr.is-selected a,
+    .table tr.is-selected strong {
+      color: currentColor; }
+    .table tr.is-selected td,
+    .table tr.is-selected th {
+      border-color: #fff;
+      color: currentColor; }
+  .table thead {
+    background-color: transparent; }
+    .table thead td,
+    .table thead th {
+      border-width: 0 0 2px;
+      color: #222222; }
+  .table tfoot {
+    background-color: transparent; }
+    .table tfoot td,
+    .table tfoot th {
+      border-width: 2px 0 0;
+      color: #222222; }
+  .table tbody {
+    background-color: transparent; }
+    .table tbody tr:last-child td,
+    .table tbody tr:last-child th {
+      border-bottom-width: 0; }
+  .table.is-bordered td,
+  .table.is-bordered th {
+    border-width: 1px; }
+  .table.is-bordered tr:last-child td,
+  .table.is-bordered tr:last-child th {
+    border-bottom-width: 1px; }
+  .table.is-fullwidth {
+    width: 100%; }
+  .table.is-hoverable tbody tr:not(.is-selected):hover {
+    background-color: #fafafa; }
+  .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover {
+    background-color: #fafafa; }
+    .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover:nth-child(even) {
+      background-color: whitesmoke; }
+  .table.is-narrow td,
+  .table.is-narrow th {
+    padding: 0.25em 0.5em; }
+  .table.is-striped tbody tr:not(.is-selected):nth-child(even) {
+    background-color: #fafafa; }
+
+.table-container {
+  -webkit-overflow-scrolling: touch;
+  overflow: auto;
+  overflow-y: hidden;
+  max-width: 100%; }
+
+.tags {
+  align-items: center;
+  display: flex;
+  flex-wrap: wrap;
+  justify-content: flex-start; }
+  .tags .tag, .tags .content kbd, .content .tags kbd, .tags .docstring > section > a.docs-sourcelink {
+    margin-bottom: 0.5rem; }
+    .tags .tag:not(:last-child), .tags .content kbd:not(:last-child), .content .tags kbd:not(:last-child), .tags .docstring > section > a.docs-sourcelink:not(:last-child) {
+      margin-right: 0.5rem; }
+  .tags:last-child {
+    margin-bottom: -0.5rem; }
+  .tags:not(:last-child) {
+    margin-bottom: 1rem; }
+  .tags.are-medium .tag:not(.is-normal):not(.is-large), .tags.are-medium .content kbd:not(.is-normal):not(.is-large), .content .tags.are-medium kbd:not(.is-normal):not(.is-large), .tags.are-medium .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-large) {
+    font-size: 1rem; }
+  .tags.are-large .tag:not(.is-normal):not(.is-medium), .tags.are-large .content kbd:not(.is-normal):not(.is-medium), .content .tags.are-large kbd:not(.is-normal):not(.is-medium), .tags.are-large .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-medium) {
+    font-size: 1.25rem; }
+  .tags.is-centered {
+    justify-content: center; }
+    .tags.is-centered .tag, .tags.is-centered .content kbd, .content .tags.is-centered kbd, .tags.is-centered .docstring > section > a.docs-sourcelink {
+      margin-right: 0.25rem;
+      margin-left: 0.25rem; }
+  .tags.is-right {
+    justify-content: flex-end; }
+    .tags.is-right .tag:not(:first-child), .tags.is-right .content kbd:not(:first-child), .content .tags.is-right kbd:not(:first-child), .tags.is-right .docstring > section > a.docs-sourcelink:not(:first-child) {
+      margin-left: 0.5rem; }
+    .tags.is-right .tag:not(:last-child), .tags.is-right .content kbd:not(:last-child), .content .tags.is-right kbd:not(:last-child), .tags.is-right .docstring > section > a.docs-sourcelink:not(:last-child) {
+      margin-right: 0; }
+  .tags.has-addons .tag, .tags.has-addons .content kbd, .content .tags.has-addons kbd, .tags.has-addons .docstring > section > a.docs-sourcelink {
+    margin-right: 0; }
+    .tags.has-addons .tag:not(:first-child), .tags.has-addons .content kbd:not(:first-child), .content .tags.has-addons kbd:not(:first-child), .tags.has-addons .docstring > section > a.docs-sourcelink:not(:first-child) {
+      margin-left: 0;
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    .tags.has-addons .tag:not(:last-child), .tags.has-addons .content kbd:not(:last-child), .content .tags.has-addons kbd:not(:last-child), .tags.has-addons .docstring > section > a.docs-sourcelink:not(:last-child) {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0; }
+
+.tag:not(body), .content kbd:not(body), .docstring > section > a.docs-sourcelink:not(body) {
+  align-items: center;
+  background-color: whitesmoke;
+  border-radius: 4px;
+  color: #222222;
+  display: inline-flex;
+  font-size: 0.75rem;
+  height: 2em;
+  justify-content: center;
+  line-height: 1.5;
+  padding-left: 0.75em;
+  padding-right: 0.75em;
+  white-space: nowrap; }
+  .tag:not(body) .delete, .content kbd:not(body) .delete, .docstring > section > a.docs-sourcelink:not(body) .delete {
+    margin-left: 0.25rem;
+    margin-right: -0.375rem; }
+  .tag.is-white:not(body), .content kbd.is-white:not(body), .docstring > section > a.docs-sourcelink.is-white:not(body) {
+    background-color: white;
+    color: #0a0a0a; }
+  .tag.is-black:not(body), .content kbd.is-black:not(body), .docstring > section > a.docs-sourcelink.is-black:not(body) {
+    background-color: #0a0a0a;
+    color: white; }
+  .tag.is-light:not(body), .content kbd.is-light:not(body), .docstring > section > a.docs-sourcelink.is-light:not(body) {
+    background-color: whitesmoke;
+    color: #363636; }
+  .tag.is-dark:not(body), .content kbd:not(body), .docstring > section > a.docs-sourcelink.is-dark:not(body), .content .docstring > section > kbd:not(body) {
+    background-color: #363636;
+    color: whitesmoke; }
+  .tag.is-primary:not(body), .content kbd.is-primary:not(body), .docstring > section > a.docs-sourcelink:not(body) {
+    background-color: #4eb5de;
+    color: #fff; }
+  .tag.is-link:not(body), .content kbd.is-link:not(body), .docstring > section > a.docs-sourcelink.is-link:not(body) {
+    background-color: #2e63b8;
+    color: #fff; }
+  .tag.is-info:not(body), .content kbd.is-info:not(body), .docstring > section > a.docs-sourcelink.is-info:not(body) {
+    background-color: #209cee;
+    color: #fff; }
+  .tag.is-success:not(body), .content kbd.is-success:not(body), .docstring > section > a.docs-sourcelink.is-success:not(body) {
+    background-color: #22c35b;
+    color: #fff; }
+  .tag.is-warning:not(body), .content kbd.is-warning:not(body), .docstring > section > a.docs-sourcelink.is-warning:not(body) {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+  .tag.is-danger:not(body), .content kbd.is-danger:not(body), .docstring > section > a.docs-sourcelink.is-danger:not(body) {
+    background-color: #da0b00;
+    color: #fff; }
+  .tag.is-normal:not(body), .content kbd.is-normal:not(body), .docstring > section > a.docs-sourcelink.is-normal:not(body) {
+    font-size: 0.75rem; }
+  .tag.is-medium:not(body), .content kbd.is-medium:not(body), .docstring > section > a.docs-sourcelink.is-medium:not(body) {
+    font-size: 1rem; }
+  .tag.is-large:not(body), .content kbd.is-large:not(body), .docstring > section > a.docs-sourcelink.is-large:not(body) {
+    font-size: 1.25rem; }
+  .tag:not(body) .icon:first-child:not(:last-child), .content kbd:not(body) .icon:first-child:not(:last-child), .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:not(:last-child) {
+    margin-left: -0.375em;
+    margin-right: 0.1875em; }
+  .tag:not(body) .icon:last-child:not(:first-child), .content kbd:not(body) .icon:last-child:not(:first-child), .docstring > section > a.docs-sourcelink:not(body) .icon:last-child:not(:first-child) {
+    margin-left: 0.1875em;
+    margin-right: -0.375em; }
+  .tag:not(body) .icon:first-child:last-child, .content kbd:not(body) .icon:first-child:last-child, .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:last-child {
+    margin-left: -0.375em;
+    margin-right: -0.375em; }
+  .tag.is-delete:not(body), .content kbd.is-delete:not(body), .docstring > section > a.docs-sourcelink.is-delete:not(body) {
+    margin-left: 1px;
+    padding: 0;
+    position: relative;
+    width: 2em; }
+    .tag.is-delete:not(body)::before, .content kbd.is-delete:not(body)::before, .docstring > section > a.docs-sourcelink.is-delete:not(body)::before, .tag.is-delete:not(body)::after, .content kbd.is-delete:not(body)::after, .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+      background-color: currentColor;
+      content: "";
+      display: block;
+      left: 50%;
+      position: absolute;
+      top: 50%;
+      transform: translateX(-50%) translateY(-50%) rotate(45deg);
+      transform-origin: center center; }
+    .tag.is-delete:not(body)::before, .content kbd.is-delete:not(body)::before, .docstring > section > a.docs-sourcelink.is-delete:not(body)::before {
+      height: 1px;
+      width: 50%; }
+    .tag.is-delete:not(body)::after, .content kbd.is-delete:not(body)::after, .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+      height: 50%;
+      width: 1px; }
+    .tag.is-delete:not(body):hover, .content kbd.is-delete:not(body):hover, .docstring > section > a.docs-sourcelink.is-delete:not(body):hover, .tag.is-delete:not(body):focus, .content kbd.is-delete:not(body):focus, .docstring > section > a.docs-sourcelink.is-delete:not(body):focus {
+      background-color: #e8e8e8; }
+    .tag.is-delete:not(body):active, .content kbd.is-delete:not(body):active, .docstring > section > a.docs-sourcelink.is-delete:not(body):active {
+      background-color: #dbdbdb; }
+  .tag.is-rounded:not(body), #documenter .docs-sidebar form.docs-search > input:not(body), .content kbd.is-rounded:not(body), #documenter .docs-sidebar .content form.docs-search > input:not(body), .docstring > section > a.docs-sourcelink.is-rounded:not(body) {
+    border-radius: 290486px; }
+
+a.tag:hover, .docstring > section > a.docs-sourcelink:hover {
+  text-decoration: underline; }
+
+.title,
+.subtitle {
+  word-break: break-word; }
+  .title em,
+  .title span,
+  .subtitle em,
+  .subtitle span {
+    font-weight: inherit; }
+  .title sub,
+  .subtitle sub {
+    font-size: 0.75em; }
+  .title sup,
+  .subtitle sup {
+    font-size: 0.75em; }
+  .title .tag, .title .content kbd, .content .title kbd, .title .docstring > section > a.docs-sourcelink,
+  .subtitle .tag,
+  .subtitle .content kbd,
+  .content .subtitle kbd,
+  .subtitle .docstring > section > a.docs-sourcelink {
+    vertical-align: middle; }
+
+.title {
+  color: #363636;
+  font-size: 2rem;
+  font-weight: 600;
+  line-height: 1.125; }
+  .title strong {
+    color: inherit;
+    font-weight: inherit; }
+  .title + .highlight {
+    margin-top: -0.75rem; }
+  .title:not(.is-spaced) + .subtitle {
+    margin-top: -1.25rem; }
+  .title.is-1 {
+    font-size: 3rem; }
+  .title.is-2 {
+    font-size: 2.5rem; }
+  .title.is-3 {
+    font-size: 2rem; }
+  .title.is-4 {
+    font-size: 1.5rem; }
+  .title.is-5 {
+    font-size: 1.25rem; }
+  .title.is-6 {
+    font-size: 1rem; }
+  .title.is-7 {
+    font-size: 0.75rem; }
+
+.subtitle {
+  color: #4a4a4a;
+  font-size: 1.25rem;
+  font-weight: 400;
+  line-height: 1.25; }
+  .subtitle strong {
+    color: #363636;
+    font-weight: 600; }
+  .subtitle:not(.is-spaced) + .title {
+    margin-top: -1.25rem; }
+  .subtitle.is-1 {
+    font-size: 3rem; }
+  .subtitle.is-2 {
+    font-size: 2.5rem; }
+  .subtitle.is-3 {
+    font-size: 2rem; }
+  .subtitle.is-4 {
+    font-size: 1.5rem; }
+  .subtitle.is-5 {
+    font-size: 1.25rem; }
+  .subtitle.is-6 {
+    font-size: 1rem; }
+  .subtitle.is-7 {
+    font-size: 0.75rem; }
+
+.heading {
+  display: block;
+  font-size: 11px;
+  letter-spacing: 1px;
+  margin-bottom: 5px;
+  text-transform: uppercase; }
+
+.highlight {
+  font-weight: 400;
+  max-width: 100%;
+  overflow: hidden;
+  padding: 0; }
+  .highlight pre {
+    overflow: auto;
+    max-width: 100%; }
+
+.number {
+  align-items: center;
+  background-color: whitesmoke;
+  border-radius: 290486px;
+  display: inline-flex;
+  font-size: 1.25rem;
+  height: 2em;
+  justify-content: center;
+  margin-right: 1.5rem;
+  min-width: 2.5em;
+  padding: 0.25rem 0.5rem;
+  text-align: center;
+  vertical-align: top; }
+
+.select select, .textarea, .input, #documenter .docs-sidebar form.docs-search > input {
+  background-color: white;
+  border-color: #dbdbdb;
+  border-radius: 4px;
+  color: #363636; }
+  .select select::-moz-placeholder, .textarea::-moz-placeholder, .input::-moz-placeholder, #documenter .docs-sidebar form.docs-search > input::-moz-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select::-webkit-input-placeholder, .textarea::-webkit-input-placeholder, .input::-webkit-input-placeholder, #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select:-moz-placeholder, .textarea:-moz-placeholder, .input:-moz-placeholder, #documenter .docs-sidebar form.docs-search > input:-moz-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select:-ms-input-placeholder, .textarea:-ms-input-placeholder, .input:-ms-input-placeholder, #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select:hover, .textarea:hover, .input:hover, #documenter .docs-sidebar form.docs-search > input:hover, .select select.is-hovered, .is-hovered.textarea, .is-hovered.input, #documenter .docs-sidebar form.docs-search > input.is-hovered {
+    border-color: #b5b5b5; }
+  .select select:focus, .textarea:focus, .input:focus, #documenter .docs-sidebar form.docs-search > input:focus, .select select.is-focused, .is-focused.textarea, .is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .select select:active, .textarea:active, .input:active, #documenter .docs-sidebar form.docs-search > input:active, .select select.is-active, .is-active.textarea, .is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+    border-color: #2e63b8;
+    box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .select select[disabled], .textarea[disabled], .input[disabled], #documenter .docs-sidebar form.docs-search > input[disabled], fieldset[disabled] .select select, .select fieldset[disabled] select, fieldset[disabled] .textarea, fieldset[disabled] .input, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input {
+    background-color: whitesmoke;
+    border-color: whitesmoke;
+    box-shadow: none;
+    color: #6b6b6b; }
+    .select select[disabled]::-moz-placeholder, .textarea[disabled]::-moz-placeholder, .input[disabled]::-moz-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]::-moz-placeholder, fieldset[disabled] .select select::-moz-placeholder, .select fieldset[disabled] select::-moz-placeholder, fieldset[disabled] .textarea::-moz-placeholder, fieldset[disabled] .input::-moz-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input::-moz-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input::-moz-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+    .select select[disabled]::-webkit-input-placeholder, .textarea[disabled]::-webkit-input-placeholder, .input[disabled]::-webkit-input-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]::-webkit-input-placeholder, fieldset[disabled] .select select::-webkit-input-placeholder, .select fieldset[disabled] select::-webkit-input-placeholder, fieldset[disabled] .textarea::-webkit-input-placeholder, fieldset[disabled] .input::-webkit-input-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input::-webkit-input-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+    .select select[disabled]:-moz-placeholder, .textarea[disabled]:-moz-placeholder, .input[disabled]:-moz-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]:-moz-placeholder, fieldset[disabled] .select select:-moz-placeholder, .select fieldset[disabled] select:-moz-placeholder, fieldset[disabled] .textarea:-moz-placeholder, fieldset[disabled] .input:-moz-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input:-moz-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input:-moz-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+    .select select[disabled]:-ms-input-placeholder, .textarea[disabled]:-ms-input-placeholder, .input[disabled]:-ms-input-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]:-ms-input-placeholder, fieldset[disabled] .select select:-ms-input-placeholder, .select fieldset[disabled] select:-ms-input-placeholder, fieldset[disabled] .textarea:-ms-input-placeholder, fieldset[disabled] .input:-ms-input-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input:-ms-input-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+
+.textarea, .input, #documenter .docs-sidebar form.docs-search > input {
+  box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.1);
+  max-width: 100%;
+  width: 100%; }
+  .textarea[readonly], .input[readonly], #documenter .docs-sidebar form.docs-search > input[readonly] {
+    box-shadow: none; }
+  .is-white.textarea, .is-white.input, #documenter .docs-sidebar form.docs-search > input.is-white {
+    border-color: white; }
+    .is-white.textarea:focus, .is-white.input:focus, #documenter .docs-sidebar form.docs-search > input.is-white:focus, .is-white.is-focused.textarea, .is-white.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-white.textarea:active, .is-white.input:active, #documenter .docs-sidebar form.docs-search > input.is-white:active, .is-white.is-active.textarea, .is-white.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+  .is-black.textarea, .is-black.input, #documenter .docs-sidebar form.docs-search > input.is-black {
+    border-color: #0a0a0a; }
+    .is-black.textarea:focus, .is-black.input:focus, #documenter .docs-sidebar form.docs-search > input.is-black:focus, .is-black.is-focused.textarea, .is-black.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-black.textarea:active, .is-black.input:active, #documenter .docs-sidebar form.docs-search > input.is-black:active, .is-black.is-active.textarea, .is-black.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+  .is-light.textarea, .is-light.input, #documenter .docs-sidebar form.docs-search > input.is-light {
+    border-color: whitesmoke; }
+    .is-light.textarea:focus, .is-light.input:focus, #documenter .docs-sidebar form.docs-search > input.is-light:focus, .is-light.is-focused.textarea, .is-light.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-light.textarea:active, .is-light.input:active, #documenter .docs-sidebar form.docs-search > input.is-light:active, .is-light.is-active.textarea, .is-light.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); }
+  .is-dark.textarea, .content kbd.textarea, .is-dark.input, #documenter .docs-sidebar form.docs-search > input.is-dark, .content kbd.input {
+    border-color: #363636; }
+    .is-dark.textarea:focus, .content kbd.textarea:focus, .is-dark.input:focus, #documenter .docs-sidebar form.docs-search > input.is-dark:focus, .content kbd.input:focus, .is-dark.is-focused.textarea, .content kbd.is-focused.textarea, .is-dark.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .content kbd.is-focused.input, #documenter .docs-sidebar .content form.docs-search > input.is-focused, .is-dark.textarea:active, .content kbd.textarea:active, .is-dark.input:active, #documenter .docs-sidebar form.docs-search > input.is-dark:active, .content kbd.input:active, .is-dark.is-active.textarea, .content kbd.is-active.textarea, .is-dark.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .content kbd.is-active.input, #documenter .docs-sidebar .content form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); }
+  .is-primary.textarea, .docstring > section > a.textarea.docs-sourcelink, .is-primary.input, #documenter .docs-sidebar form.docs-search > input.is-primary, .docstring > section > a.input.docs-sourcelink {
+    border-color: #4eb5de; }
+    .is-primary.textarea:focus, .docstring > section > a.textarea.docs-sourcelink:focus, .is-primary.input:focus, #documenter .docs-sidebar form.docs-search > input.is-primary:focus, .docstring > section > a.input.docs-sourcelink:focus, .is-primary.is-focused.textarea, .docstring > section > a.is-focused.textarea.docs-sourcelink, .is-primary.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .docstring > section > a.is-focused.input.docs-sourcelink, .is-primary.textarea:active, .docstring > section > a.textarea.docs-sourcelink:active, .is-primary.input:active, #documenter .docs-sidebar form.docs-search > input.is-primary:active, .docstring > section > a.input.docs-sourcelink:active, .is-primary.is-active.textarea, .docstring > section > a.is-active.textarea.docs-sourcelink, .is-primary.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .docstring > section > a.is-active.input.docs-sourcelink {
+      box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); }
+  .is-link.textarea, .is-link.input, #documenter .docs-sidebar form.docs-search > input.is-link {
+    border-color: #2e63b8; }
+    .is-link.textarea:focus, .is-link.input:focus, #documenter .docs-sidebar form.docs-search > input.is-link:focus, .is-link.is-focused.textarea, .is-link.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-link.textarea:active, .is-link.input:active, #documenter .docs-sidebar form.docs-search > input.is-link:active, .is-link.is-active.textarea, .is-link.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .is-info.textarea, .is-info.input, #documenter .docs-sidebar form.docs-search > input.is-info {
+    border-color: #209cee; }
+    .is-info.textarea:focus, .is-info.input:focus, #documenter .docs-sidebar form.docs-search > input.is-info:focus, .is-info.is-focused.textarea, .is-info.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-info.textarea:active, .is-info.input:active, #documenter .docs-sidebar form.docs-search > input.is-info:active, .is-info.is-active.textarea, .is-info.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); }
+  .is-success.textarea, .is-success.input, #documenter .docs-sidebar form.docs-search > input.is-success {
+    border-color: #22c35b; }
+    .is-success.textarea:focus, .is-success.input:focus, #documenter .docs-sidebar form.docs-search > input.is-success:focus, .is-success.is-focused.textarea, .is-success.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-success.textarea:active, .is-success.input:active, #documenter .docs-sidebar form.docs-search > input.is-success:active, .is-success.is-active.textarea, .is-success.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); }
+  .is-warning.textarea, .is-warning.input, #documenter .docs-sidebar form.docs-search > input.is-warning {
+    border-color: #ffdd57; }
+    .is-warning.textarea:focus, .is-warning.input:focus, #documenter .docs-sidebar form.docs-search > input.is-warning:focus, .is-warning.is-focused.textarea, .is-warning.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-warning.textarea:active, .is-warning.input:active, #documenter .docs-sidebar form.docs-search > input.is-warning:active, .is-warning.is-active.textarea, .is-warning.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); }
+  .is-danger.textarea, .is-danger.input, #documenter .docs-sidebar form.docs-search > input.is-danger {
+    border-color: #da0b00; }
+    .is-danger.textarea:focus, .is-danger.input:focus, #documenter .docs-sidebar form.docs-search > input.is-danger:focus, .is-danger.is-focused.textarea, .is-danger.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-danger.textarea:active, .is-danger.input:active, #documenter .docs-sidebar form.docs-search > input.is-danger:active, .is-danger.is-active.textarea, .is-danger.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); }
+  .is-small.textarea, .is-small.input, #documenter .docs-sidebar form.docs-search > input {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .is-medium.textarea, .is-medium.input, #documenter .docs-sidebar form.docs-search > input.is-medium {
+    font-size: 1.25rem; }
+  .is-large.textarea, .is-large.input, #documenter .docs-sidebar form.docs-search > input.is-large {
+    font-size: 1.5rem; }
+  .is-fullwidth.textarea, .is-fullwidth.input, #documenter .docs-sidebar form.docs-search > input.is-fullwidth {
+    display: block;
+    width: 100%; }
+  .is-inline.textarea, .is-inline.input, #documenter .docs-sidebar form.docs-search > input.is-inline {
+    display: inline;
+    width: auto; }
+
+.input.is-rounded, #documenter .docs-sidebar form.docs-search > input {
+  border-radius: 290486px;
+  padding-left: 1em;
+  padding-right: 1em; }
+
+.input.is-static, #documenter .docs-sidebar form.docs-search > input.is-static {
+  background-color: transparent;
+  border-color: transparent;
+  box-shadow: none;
+  padding-left: 0;
+  padding-right: 0; }
+
+.textarea {
+  display: block;
+  max-width: 100%;
+  min-width: 100%;
+  padding: 0.625em;
+  resize: vertical; }
+  .textarea:not([rows]) {
+    max-height: 600px;
+    min-height: 120px; }
+  .textarea[rows] {
+    height: initial; }
+  .textarea.has-fixed-size {
+    resize: none; }
+
+.radio, .checkbox {
+  cursor: pointer;
+  display: inline-block;
+  line-height: 1.25;
+  position: relative; }
+  .radio input, .checkbox input {
+    cursor: pointer; }
+  .radio:hover, .checkbox:hover {
+    color: #363636; }
+  .radio[disabled], .checkbox[disabled], fieldset[disabled] .radio, fieldset[disabled] .checkbox {
+    color: #6b6b6b;
+    cursor: not-allowed; }
+
+.radio + .radio {
+  margin-left: 0.5em; }
+
+.select {
+  display: inline-block;
+  max-width: 100%;
+  position: relative;
+  vertical-align: top; }
+  .select:not(.is-multiple) {
+    height: 2.25em; }
+  .select:not(.is-multiple):not(.is-loading)::after {
+    border-color: #2e63b8;
+    right: 1.125em;
+    z-index: 4; }
+  .select.is-rounded select, #documenter .docs-sidebar form.docs-search > input.select select {
+    border-radius: 290486px;
+    padding-left: 1em; }
+  .select select {
+    cursor: pointer;
+    display: block;
+    font-size: 1em;
+    max-width: 100%;
+    outline: none; }
+    .select select::-ms-expand {
+      display: none; }
+    .select select[disabled]:hover, fieldset[disabled] .select select:hover {
+      border-color: whitesmoke; }
+    .select select:not([multiple]) {
+      padding-right: 2.5em; }
+    .select select[multiple] {
+      height: auto;
+      padding: 0; }
+      .select select[multiple] option {
+        padding: 0.5em 1em; }
+  .select:not(.is-multiple):not(.is-loading):hover::after {
+    border-color: #363636; }
+  .select.is-white:not(:hover)::after {
+    border-color: white; }
+  .select.is-white select {
+    border-color: white; }
+    .select.is-white select:hover, .select.is-white select.is-hovered {
+      border-color: #f2f2f2; }
+    .select.is-white select:focus, .select.is-white select.is-focused, .select.is-white select:active, .select.is-white select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+  .select.is-black:not(:hover)::after {
+    border-color: #0a0a0a; }
+  .select.is-black select {
+    border-color: #0a0a0a; }
+    .select.is-black select:hover, .select.is-black select.is-hovered {
+      border-color: black; }
+    .select.is-black select:focus, .select.is-black select.is-focused, .select.is-black select:active, .select.is-black select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+  .select.is-light:not(:hover)::after {
+    border-color: whitesmoke; }
+  .select.is-light select {
+    border-color: whitesmoke; }
+    .select.is-light select:hover, .select.is-light select.is-hovered {
+      border-color: #e8e8e8; }
+    .select.is-light select:focus, .select.is-light select.is-focused, .select.is-light select:active, .select.is-light select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); }
+  .select.is-dark:not(:hover)::after, .content kbd.select:not(:hover)::after {
+    border-color: #363636; }
+  .select.is-dark select, .content kbd.select select {
+    border-color: #363636; }
+    .select.is-dark select:hover, .content kbd.select select:hover, .select.is-dark select.is-hovered, .content kbd.select select.is-hovered {
+      border-color: #292929; }
+    .select.is-dark select:focus, .content kbd.select select:focus, .select.is-dark select.is-focused, .content kbd.select select.is-focused, .select.is-dark select:active, .content kbd.select select:active, .select.is-dark select.is-active, .content kbd.select select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); }
+  .select.is-primary:not(:hover)::after, .docstring > section > a.select.docs-sourcelink:not(:hover)::after {
+    border-color: #4eb5de; }
+  .select.is-primary select, .docstring > section > a.select.docs-sourcelink select {
+    border-color: #4eb5de; }
+    .select.is-primary select:hover, .docstring > section > a.select.docs-sourcelink select:hover, .select.is-primary select.is-hovered, .docstring > section > a.select.docs-sourcelink select.is-hovered {
+      border-color: #39acda; }
+    .select.is-primary select:focus, .docstring > section > a.select.docs-sourcelink select:focus, .select.is-primary select.is-focused, .docstring > section > a.select.docs-sourcelink select.is-focused, .select.is-primary select:active, .docstring > section > a.select.docs-sourcelink select:active, .select.is-primary select.is-active, .docstring > section > a.select.docs-sourcelink select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); }
+  .select.is-link:not(:hover)::after {
+    border-color: #2e63b8; }
+  .select.is-link select {
+    border-color: #2e63b8; }
+    .select.is-link select:hover, .select.is-link select.is-hovered {
+      border-color: #2958a4; }
+    .select.is-link select:focus, .select.is-link select.is-focused, .select.is-link select:active, .select.is-link select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .select.is-info:not(:hover)::after {
+    border-color: #209cee; }
+  .select.is-info select {
+    border-color: #209cee; }
+    .select.is-info select:hover, .select.is-info select.is-hovered {
+      border-color: #1190e3; }
+    .select.is-info select:focus, .select.is-info select.is-focused, .select.is-info select:active, .select.is-info select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); }
+  .select.is-success:not(:hover)::after {
+    border-color: #22c35b; }
+  .select.is-success select {
+    border-color: #22c35b; }
+    .select.is-success select:hover, .select.is-success select.is-hovered {
+      border-color: #1ead51; }
+    .select.is-success select:focus, .select.is-success select.is-focused, .select.is-success select:active, .select.is-success select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); }
+  .select.is-warning:not(:hover)::after {
+    border-color: #ffdd57; }
+  .select.is-warning select {
+    border-color: #ffdd57; }
+    .select.is-warning select:hover, .select.is-warning select.is-hovered {
+      border-color: #ffd83e; }
+    .select.is-warning select:focus, .select.is-warning select.is-focused, .select.is-warning select:active, .select.is-warning select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); }
+  .select.is-danger:not(:hover)::after {
+    border-color: #da0b00; }
+  .select.is-danger select {
+    border-color: #da0b00; }
+    .select.is-danger select:hover, .select.is-danger select.is-hovered {
+      border-color: #c10a00; }
+    .select.is-danger select:focus, .select.is-danger select.is-focused, .select.is-danger select:active, .select.is-danger select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); }
+  .select.is-small, #documenter .docs-sidebar form.docs-search > input.select {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .select.is-medium {
+    font-size: 1.25rem; }
+  .select.is-large {
+    font-size: 1.5rem; }
+  .select.is-disabled::after {
+    border-color: #6b6b6b; }
+  .select.is-fullwidth {
+    width: 100%; }
+    .select.is-fullwidth select {
+      width: 100%; }
+  .select.is-loading::after {
+    margin-top: 0;
+    position: absolute;
+    right: 0.625em;
+    top: 0.625em;
+    transform: none; }
+  .select.is-loading.is-small:after, #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+    font-size: 0.75rem; }
+  .select.is-loading.is-medium:after {
+    font-size: 1.25rem; }
+  .select.is-loading.is-large:after {
+    font-size: 1.5rem; }
+
+.file {
+  align-items: stretch;
+  display: flex;
+  justify-content: flex-start;
+  position: relative; }
+  .file.is-white .file-cta {
+    background-color: white;
+    border-color: transparent;
+    color: #0a0a0a; }
+  .file.is-white:hover .file-cta, .file.is-white.is-hovered .file-cta {
+    background-color: #f9f9f9;
+    border-color: transparent;
+    color: #0a0a0a; }
+  .file.is-white:focus .file-cta, .file.is-white.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(255, 255, 255, 0.25);
+    color: #0a0a0a; }
+  .file.is-white:active .file-cta, .file.is-white.is-active .file-cta {
+    background-color: #f2f2f2;
+    border-color: transparent;
+    color: #0a0a0a; }
+  .file.is-black .file-cta {
+    background-color: #0a0a0a;
+    border-color: transparent;
+    color: white; }
+  .file.is-black:hover .file-cta, .file.is-black.is-hovered .file-cta {
+    background-color: #040404;
+    border-color: transparent;
+    color: white; }
+  .file.is-black:focus .file-cta, .file.is-black.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(10, 10, 10, 0.25);
+    color: white; }
+  .file.is-black:active .file-cta, .file.is-black.is-active .file-cta {
+    background-color: black;
+    border-color: transparent;
+    color: white; }
+  .file.is-light .file-cta {
+    background-color: whitesmoke;
+    border-color: transparent;
+    color: #363636; }
+  .file.is-light:hover .file-cta, .file.is-light.is-hovered .file-cta {
+    background-color: #eeeeee;
+    border-color: transparent;
+    color: #363636; }
+  .file.is-light:focus .file-cta, .file.is-light.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(245, 245, 245, 0.25);
+    color: #363636; }
+  .file.is-light:active .file-cta, .file.is-light.is-active .file-cta {
+    background-color: #e8e8e8;
+    border-color: transparent;
+    color: #363636; }
+  .file.is-dark .file-cta, .content kbd.file .file-cta {
+    background-color: #363636;
+    border-color: transparent;
+    color: whitesmoke; }
+  .file.is-dark:hover .file-cta, .content kbd.file:hover .file-cta, .file.is-dark.is-hovered .file-cta, .content kbd.file.is-hovered .file-cta {
+    background-color: #2f2f2f;
+    border-color: transparent;
+    color: whitesmoke; }
+  .file.is-dark:focus .file-cta, .content kbd.file:focus .file-cta, .file.is-dark.is-focused .file-cta, .content kbd.file.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(54, 54, 54, 0.25);
+    color: whitesmoke; }
+  .file.is-dark:active .file-cta, .content kbd.file:active .file-cta, .file.is-dark.is-active .file-cta, .content kbd.file.is-active .file-cta {
+    background-color: #292929;
+    border-color: transparent;
+    color: whitesmoke; }
+  .file.is-primary .file-cta, .docstring > section > a.file.docs-sourcelink .file-cta {
+    background-color: #4eb5de;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-primary:hover .file-cta, .docstring > section > a.file.docs-sourcelink:hover .file-cta, .file.is-primary.is-hovered .file-cta, .docstring > section > a.file.is-hovered.docs-sourcelink .file-cta {
+    background-color: #43b1dc;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-primary:focus .file-cta, .docstring > section > a.file.docs-sourcelink:focus .file-cta, .file.is-primary.is-focused .file-cta, .docstring > section > a.file.is-focused.docs-sourcelink .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(78, 181, 222, 0.25);
+    color: #fff; }
+  .file.is-primary:active .file-cta, .docstring > section > a.file.docs-sourcelink:active .file-cta, .file.is-primary.is-active .file-cta, .docstring > section > a.file.is-active.docs-sourcelink .file-cta {
+    background-color: #39acda;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-link .file-cta {
+    background-color: #2e63b8;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-link:hover .file-cta, .file.is-link.is-hovered .file-cta {
+    background-color: #2b5eae;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-link:focus .file-cta, .file.is-link.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(46, 99, 184, 0.25);
+    color: #fff; }
+  .file.is-link:active .file-cta, .file.is-link.is-active .file-cta {
+    background-color: #2958a4;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-info .file-cta {
+    background-color: #209cee;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-info:hover .file-cta, .file.is-info.is-hovered .file-cta {
+    background-color: #1497ed;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-info:focus .file-cta, .file.is-info.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(32, 156, 238, 0.25);
+    color: #fff; }
+  .file.is-info:active .file-cta, .file.is-info.is-active .file-cta {
+    background-color: #1190e3;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-success .file-cta {
+    background-color: #22c35b;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-success:hover .file-cta, .file.is-success.is-hovered .file-cta {
+    background-color: #20b856;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-success:focus .file-cta, .file.is-success.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(34, 195, 91, 0.25);
+    color: #fff; }
+  .file.is-success:active .file-cta, .file.is-success.is-active .file-cta {
+    background-color: #1ead51;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-warning .file-cta {
+    background-color: #ffdd57;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-warning:hover .file-cta, .file.is-warning.is-hovered .file-cta {
+    background-color: #ffda4a;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-warning:focus .file-cta, .file.is-warning.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(255, 221, 87, 0.25);
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-warning:active .file-cta, .file.is-warning.is-active .file-cta {
+    background-color: #ffd83e;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-danger .file-cta {
+    background-color: #da0b00;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-danger:hover .file-cta, .file.is-danger.is-hovered .file-cta {
+    background-color: #cd0a00;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-danger:focus .file-cta, .file.is-danger.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(218, 11, 0, 0.25);
+    color: #fff; }
+  .file.is-danger:active .file-cta, .file.is-danger.is-active .file-cta {
+    background-color: #c10a00;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-small, #documenter .docs-sidebar form.docs-search > input.file {
+    font-size: 0.75rem; }
+  .file.is-medium {
+    font-size: 1.25rem; }
+    .file.is-medium .file-icon .fa {
+      font-size: 21px; }
+  .file.is-large {
+    font-size: 1.5rem; }
+    .file.is-large .file-icon .fa {
+      font-size: 28px; }
+  .file.has-name .file-cta {
+    border-bottom-right-radius: 0;
+    border-top-right-radius: 0; }
+  .file.has-name .file-name {
+    border-bottom-left-radius: 0;
+    border-top-left-radius: 0; }
+  .file.has-name.is-empty .file-cta {
+    border-radius: 4px; }
+  .file.has-name.is-empty .file-name {
+    display: none; }
+  .file.is-boxed .file-label {
+    flex-direction: column; }
+  .file.is-boxed .file-cta {
+    flex-direction: column;
+    height: auto;
+    padding: 1em 3em; }
+  .file.is-boxed .file-name {
+    border-width: 0 1px 1px; }
+  .file.is-boxed .file-icon {
+    height: 1.5em;
+    width: 1.5em; }
+    .file.is-boxed .file-icon .fa {
+      font-size: 21px; }
+  .file.is-boxed.is-small .file-icon .fa, #documenter .docs-sidebar form.docs-search > input.is-boxed .file-icon .fa {
+    font-size: 14px; }
+  .file.is-boxed.is-medium .file-icon .fa {
+    font-size: 28px; }
+  .file.is-boxed.is-large .file-icon .fa {
+    font-size: 35px; }
+  .file.is-boxed.has-name .file-cta {
+    border-radius: 4px 4px 0 0; }
+  .file.is-boxed.has-name .file-name {
+    border-radius: 0 0 4px 4px;
+    border-width: 0 1px 1px; }
+  .file.is-centered {
+    justify-content: center; }
+  .file.is-fullwidth .file-label {
+    width: 100%; }
+  .file.is-fullwidth .file-name {
+    flex-grow: 1;
+    max-width: none; }
+  .file.is-right {
+    justify-content: flex-end; }
+    .file.is-right .file-cta {
+      border-radius: 0 4px 4px 0; }
+    .file.is-right .file-name {
+      border-radius: 4px 0 0 4px;
+      border-width: 1px 0 1px 1px;
+      order: -1; }
+
+.file-label {
+  align-items: stretch;
+  display: flex;
+  cursor: pointer;
+  justify-content: flex-start;
+  overflow: hidden;
+  position: relative; }
+  .file-label:hover .file-cta {
+    background-color: #eeeeee;
+    color: #363636; }
+  .file-label:hover .file-name {
+    border-color: #d5d5d5; }
+  .file-label:active .file-cta {
+    background-color: #e8e8e8;
+    color: #363636; }
+  .file-label:active .file-name {
+    border-color: #cfcfcf; }
+
+.file-input {
+  height: 100%;
+  left: 0;
+  opacity: 0;
+  outline: none;
+  position: absolute;
+  top: 0;
+  width: 100%; }
+
+.file-cta,
+.file-name {
+  border-color: #dbdbdb;
+  border-radius: 4px;
+  font-size: 1em;
+  padding-left: 1em;
+  padding-right: 1em;
+  white-space: nowrap; }
+
+.file-cta {
+  background-color: whitesmoke;
+  color: #4a4a4a; }
+
+.file-name {
+  border-color: #dbdbdb;
+  border-style: solid;
+  border-width: 1px 1px 1px 0;
+  display: block;
+  max-width: 16em;
+  overflow: hidden;
+  text-align: left;
+  text-overflow: ellipsis; }
+
+.file-icon {
+  align-items: center;
+  display: flex;
+  height: 1em;
+  justify-content: center;
+  margin-right: 0.5em;
+  width: 1em; }
+  .file-icon .fa {
+    font-size: 14px; }
+
+.label {
+  color: #363636;
+  display: block;
+  font-size: 1rem;
+  font-weight: 700; }
+  .label:not(:last-child) {
+    margin-bottom: 0.5em; }
+  .label.is-small, #documenter .docs-sidebar form.docs-search > input.label {
+    font-size: 0.75rem; }
+  .label.is-medium {
+    font-size: 1.25rem; }
+  .label.is-large {
+    font-size: 1.5rem; }
+
+.help {
+  display: block;
+  font-size: 0.75rem;
+  margin-top: 0.25rem; }
+  .help.is-white {
+    color: white; }
+  .help.is-black {
+    color: #0a0a0a; }
+  .help.is-light {
+    color: whitesmoke; }
+  .help.is-dark, .content kbd.help {
+    color: #363636; }
+  .help.is-primary, .docstring > section > a.help.docs-sourcelink {
+    color: #4eb5de; }
+  .help.is-link {
+    color: #2e63b8; }
+  .help.is-info {
+    color: #209cee; }
+  .help.is-success {
+    color: #22c35b; }
+  .help.is-warning {
+    color: #ffdd57; }
+  .help.is-danger {
+    color: #da0b00; }
+
+.field:not(:last-child) {
+  margin-bottom: 0.75rem; }
+
+.field.has-addons {
+  display: flex;
+  justify-content: flex-start; }
+  .field.has-addons .control:not(:last-child) {
+    margin-right: -1px; }
+  .field.has-addons .control:not(:first-child):not(:last-child) .button,
+  .field.has-addons .control:not(:first-child):not(:last-child) .input,
+  .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search > input,
+  #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search > input,
+  .field.has-addons .control:not(:first-child):not(:last-child) .select select {
+    border-radius: 0; }
+  .field.has-addons .control:first-child:not(:only-child) .button,
+  .field.has-addons .control:first-child:not(:only-child) .input,
+  .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+  #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search > input,
+  .field.has-addons .control:first-child:not(:only-child) .select select {
+    border-bottom-right-radius: 0;
+    border-top-right-radius: 0; }
+  .field.has-addons .control:last-child:not(:only-child) .button,
+  .field.has-addons .control:last-child:not(:only-child) .input,
+  .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+  #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search > input,
+  .field.has-addons .control:last-child:not(:only-child) .select select {
+    border-bottom-left-radius: 0;
+    border-top-left-radius: 0; }
+  .field.has-addons .control .button:not([disabled]):hover, .field.has-addons .control .button.is-hovered:not([disabled]),
+  .field.has-addons .control .input:not([disabled]):hover,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):hover,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):hover,
+  .field.has-addons .control .input.is-hovered:not([disabled]),
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-hovered:not([disabled]),
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-hovered:not([disabled]),
+  .field.has-addons .control .select select:not([disabled]):hover,
+  .field.has-addons .control .select select.is-hovered:not([disabled]) {
+    z-index: 2; }
+  .field.has-addons .control .button:not([disabled]):focus, .field.has-addons .control .button.is-focused:not([disabled]), .field.has-addons .control .button:not([disabled]):active, .field.has-addons .control .button.is-active:not([disabled]),
+  .field.has-addons .control .input:not([disabled]):focus,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus,
+  .field.has-addons .control .input.is-focused:not([disabled]),
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]),
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]),
+  .field.has-addons .control .input:not([disabled]):active,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active,
+  .field.has-addons .control .input.is-active:not([disabled]),
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]),
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]),
+  .field.has-addons .control .select select:not([disabled]):focus,
+  .field.has-addons .control .select select.is-focused:not([disabled]),
+  .field.has-addons .control .select select:not([disabled]):active,
+  .field.has-addons .control .select select.is-active:not([disabled]) {
+    z-index: 3; }
+    .field.has-addons .control .button:not([disabled]):focus:hover, .field.has-addons .control .button.is-focused:not([disabled]):hover, .field.has-addons .control .button:not([disabled]):active:hover, .field.has-addons .control .button.is-active:not([disabled]):hover,
+    .field.has-addons .control .input:not([disabled]):focus:hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus:hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus:hover,
+    .field.has-addons .control .input.is-focused:not([disabled]):hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]):hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]):hover,
+    .field.has-addons .control .input:not([disabled]):active:hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active:hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active:hover,
+    .field.has-addons .control .input.is-active:not([disabled]):hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]):hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]):hover,
+    .field.has-addons .control .select select:not([disabled]):focus:hover,
+    .field.has-addons .control .select select.is-focused:not([disabled]):hover,
+    .field.has-addons .control .select select:not([disabled]):active:hover,
+    .field.has-addons .control .select select.is-active:not([disabled]):hover {
+      z-index: 4; }
+  .field.has-addons .control.is-expanded {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .field.has-addons.has-addons-centered {
+    justify-content: center; }
+  .field.has-addons.has-addons-right {
+    justify-content: flex-end; }
+  .field.has-addons.has-addons-fullwidth .control {
+    flex-grow: 1;
+    flex-shrink: 0; }
+
+.field.is-grouped {
+  display: flex;
+  justify-content: flex-start; }
+  .field.is-grouped > .control {
+    flex-shrink: 0; }
+    .field.is-grouped > .control:not(:last-child) {
+      margin-bottom: 0;
+      margin-right: 0.75rem; }
+    .field.is-grouped > .control.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+  .field.is-grouped.is-grouped-centered {
+    justify-content: center; }
+  .field.is-grouped.is-grouped-right {
+    justify-content: flex-end; }
+  .field.is-grouped.is-grouped-multiline {
+    flex-wrap: wrap; }
+    .field.is-grouped.is-grouped-multiline > .control:last-child, .field.is-grouped.is-grouped-multiline > .control:not(:last-child) {
+      margin-bottom: 0.75rem; }
+    .field.is-grouped.is-grouped-multiline:last-child {
+      margin-bottom: -0.75rem; }
+    .field.is-grouped.is-grouped-multiline:not(:last-child) {
+      margin-bottom: 0; }
+
+@media screen and (min-width: 769px), print {
+  .field.is-horizontal {
+    display: flex; } }
+
+.field-label .label {
+  font-size: inherit; }
+
+@media screen and (max-width: 768px) {
+  .field-label {
+    margin-bottom: 0.5rem; } }
+
+@media screen and (min-width: 769px), print {
+  .field-label {
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 0;
+    margin-right: 1.5rem;
+    text-align: right; }
+    .field-label.is-small, #documenter .docs-sidebar form.docs-search > input.field-label {
+      font-size: 0.75rem;
+      padding-top: 0.375em; }
+    .field-label.is-normal {
+      padding-top: 0.375em; }
+    .field-label.is-medium {
+      font-size: 1.25rem;
+      padding-top: 0.375em; }
+    .field-label.is-large {
+      font-size: 1.5rem;
+      padding-top: 0.375em; } }
+
+.field-body .field .field {
+  margin-bottom: 0; }
+
+@media screen and (min-width: 769px), print {
+  .field-body {
+    display: flex;
+    flex-basis: 0;
+    flex-grow: 5;
+    flex-shrink: 1; }
+    .field-body .field {
+      margin-bottom: 0; }
+    .field-body > .field {
+      flex-shrink: 1; }
+      .field-body > .field:not(.is-narrow) {
+        flex-grow: 1; }
+      .field-body > .field:not(:last-child) {
+        margin-right: 0.75rem; } }
+
+.control {
+  box-sizing: border-box;
+  clear: both;
+  font-size: 1rem;
+  position: relative;
+  text-align: left; }
+  .control.has-icons-left .input:focus ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input:focus ~ .icon,
+  .control.has-icons-left .select:focus ~ .icon, .control.has-icons-right .input:focus ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input:focus ~ .icon,
+  .control.has-icons-right .select:focus ~ .icon {
+    color: #6b6b6b; }
+  .control.has-icons-left .input.is-small ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input ~ .icon,
+  .control.has-icons-left .select.is-small ~ .icon, .control.has-icons-right .input.is-small ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input ~ .icon,
+  .control.has-icons-right .select.is-small ~ .icon {
+    font-size: 0.75rem; }
+  .control.has-icons-left .input.is-medium ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-medium ~ .icon,
+  .control.has-icons-left .select.is-medium ~ .icon, .control.has-icons-right .input.is-medium ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-medium ~ .icon,
+  .control.has-icons-right .select.is-medium ~ .icon {
+    font-size: 1.25rem; }
+  .control.has-icons-left .input.is-large ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-large ~ .icon,
+  .control.has-icons-left .select.is-large ~ .icon, .control.has-icons-right .input.is-large ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-large ~ .icon,
+  .control.has-icons-right .select.is-large ~ .icon {
+    font-size: 1.5rem; }
+  .control.has-icons-left .icon, .control.has-icons-right .icon {
+    color: #dbdbdb;
+    height: 2.25em;
+    pointer-events: none;
+    position: absolute;
+    top: 0;
+    width: 2.25em;
+    z-index: 4; }
+  .control.has-icons-left .input, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input,
+  .control.has-icons-left .select select {
+    padding-left: 2.25em; }
+  .control.has-icons-left .icon.is-left {
+    left: 0; }
+  .control.has-icons-right .input, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input,
+  .control.has-icons-right .select select {
+    padding-right: 2.25em; }
+  .control.has-icons-right .icon.is-right {
+    right: 0; }
+  .control.is-loading::after {
+    position: absolute !important;
+    right: 0.625em;
+    top: 0.625em;
+    z-index: 4; }
+  .control.is-loading.is-small:after, #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+    font-size: 0.75rem; }
+  .control.is-loading.is-medium:after {
+    font-size: 1.25rem; }
+  .control.is-loading.is-large:after {
+    font-size: 1.5rem; }
+
+.breadcrumb {
+  font-size: 1rem;
+  white-space: nowrap; }
+  .breadcrumb a {
+    align-items: center;
+    color: #2e63b8;
+    display: flex;
+    justify-content: center;
+    padding: 0 0.75em; }
+    .breadcrumb a:hover {
+      color: #363636; }
+  .breadcrumb li {
+    align-items: center;
+    display: flex; }
+    .breadcrumb li:first-child a {
+      padding-left: 0; }
+    .breadcrumb li.is-active a {
+      color: #222222;
+      cursor: default;
+      pointer-events: none; }
+    .breadcrumb li + li::before {
+      color: #b5b5b5;
+      content: "\0002f"; }
+  .breadcrumb ul,
+  .breadcrumb ol {
+    align-items: flex-start;
+    display: flex;
+    flex-wrap: wrap;
+    justify-content: flex-start; }
+  .breadcrumb .icon:first-child {
+    margin-right: 0.5em; }
+  .breadcrumb .icon:last-child {
+    margin-left: 0.5em; }
+  .breadcrumb.is-centered ol,
+  .breadcrumb.is-centered ul {
+    justify-content: center; }
+  .breadcrumb.is-right ol,
+  .breadcrumb.is-right ul {
+    justify-content: flex-end; }
+  .breadcrumb.is-small, #documenter .docs-sidebar form.docs-search > input.breadcrumb {
+    font-size: 0.75rem; }
+  .breadcrumb.is-medium {
+    font-size: 1.25rem; }
+  .breadcrumb.is-large {
+    font-size: 1.5rem; }
+  .breadcrumb.has-arrow-separator li + li::before {
+    content: "\02192"; }
+  .breadcrumb.has-bullet-separator li + li::before {
+    content: "\02022"; }
+  .breadcrumb.has-dot-separator li + li::before {
+    content: "\000b7"; }
+  .breadcrumb.has-succeeds-separator li + li::before {
+    content: "\0227B"; }
+
+.card {
+  background-color: white;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+  color: #222222;
+  max-width: 100%;
+  position: relative; }
+
+.card-header {
+  background-color: transparent;
+  align-items: stretch;
+  box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+  display: flex; }
+
+.card-header-title {
+  align-items: center;
+  color: #222222;
+  display: flex;
+  flex-grow: 1;
+  font-weight: 700;
+  padding: 0.75rem; }
+  .card-header-title.is-centered {
+    justify-content: center; }
+
+.card-header-icon {
+  align-items: center;
+  cursor: pointer;
+  display: flex;
+  justify-content: center;
+  padding: 0.75rem; }
+
+.card-image {
+  display: block;
+  position: relative; }
+
+.card-content {
+  background-color: transparent;
+  padding: 1.5rem; }
+
+.card-footer {
+  background-color: transparent;
+  border-top: 1px solid #dbdbdb;
+  align-items: stretch;
+  display: flex; }
+
+.card-footer-item {
+  align-items: center;
+  display: flex;
+  flex-basis: 0;
+  flex-grow: 1;
+  flex-shrink: 0;
+  justify-content: center;
+  padding: 0.75rem; }
+  .card-footer-item:not(:last-child) {
+    border-right: 1px solid #dbdbdb; }
+
+.card .media:not(:last-child) {
+  margin-bottom: 1.5rem; }
+
+.dropdown {
+  display: inline-flex;
+  position: relative;
+  vertical-align: top; }
+  .dropdown.is-active .dropdown-menu, .dropdown.is-hoverable:hover .dropdown-menu {
+    display: block; }
+  .dropdown.is-right .dropdown-menu {
+    left: auto;
+    right: 0; }
+  .dropdown.is-up .dropdown-menu {
+    bottom: 100%;
+    padding-bottom: 4px;
+    padding-top: initial;
+    top: auto; }
+
+.dropdown-menu {
+  display: none;
+  left: 0;
+  min-width: 12rem;
+  padding-top: 4px;
+  position: absolute;
+  top: 100%;
+  z-index: 20; }
+
+.dropdown-content {
+  background-color: white;
+  border-radius: 4px;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+  padding-bottom: 0.5rem;
+  padding-top: 0.5rem; }
+
+.dropdown-item {
+  color: #4a4a4a;
+  display: block;
+  font-size: 0.875rem;
+  line-height: 1.5;
+  padding: 0.375rem 1rem;
+  position: relative; }
+
+a.dropdown-item,
+button.dropdown-item {
+  padding-right: 3rem;
+  text-align: left;
+  white-space: nowrap;
+  width: 100%; }
+  a.dropdown-item:hover,
+  button.dropdown-item:hover {
+    background-color: whitesmoke;
+    color: #0a0a0a; }
+  a.dropdown-item.is-active,
+  button.dropdown-item.is-active {
+    background-color: #2e63b8;
+    color: #fff; }
+
+.dropdown-divider {
+  background-color: #dbdbdb;
+  border: none;
+  display: block;
+  height: 1px;
+  margin: 0.5rem 0; }
+
+.level {
+  align-items: center;
+  justify-content: space-between; }
+  .level code {
+    border-radius: 4px; }
+  .level img {
+    display: inline-block;
+    vertical-align: top; }
+  .level.is-mobile {
+    display: flex; }
+    .level.is-mobile .level-left,
+    .level.is-mobile .level-right {
+      display: flex; }
+    .level.is-mobile .level-left + .level-right {
+      margin-top: 0; }
+    .level.is-mobile .level-item:not(:last-child) {
+      margin-bottom: 0;
+      margin-right: 0.75rem; }
+    .level.is-mobile .level-item:not(.is-narrow) {
+      flex-grow: 1; }
+  @media screen and (min-width: 769px), print {
+    .level {
+      display: flex; }
+      .level > .level-item:not(.is-narrow) {
+        flex-grow: 1; } }
+.level-item {
+  align-items: center;
+  display: flex;
+  flex-basis: auto;
+  flex-grow: 0;
+  flex-shrink: 0;
+  justify-content: center; }
+  .level-item .title,
+  .level-item .subtitle {
+    margin-bottom: 0; }
+  @media screen and (max-width: 768px) {
+    .level-item:not(:last-child) {
+      margin-bottom: 0.75rem; } }
+.level-left,
+.level-right {
+  flex-basis: auto;
+  flex-grow: 0;
+  flex-shrink: 0; }
+  .level-left .level-item.is-flexible,
+  .level-right .level-item.is-flexible {
+    flex-grow: 1; }
+  @media screen and (min-width: 769px), print {
+    .level-left .level-item:not(:last-child),
+    .level-right .level-item:not(:last-child) {
+      margin-right: 0.75rem; } }
+.level-left {
+  align-items: center;
+  justify-content: flex-start; }
+  @media screen and (max-width: 768px) {
+    .level-left + .level-right {
+      margin-top: 1.5rem; } }
+  @media screen and (min-width: 769px), print {
+    .level-left {
+      display: flex; } }
+.level-right {
+  align-items: center;
+  justify-content: flex-end; }
+  @media screen and (min-width: 769px), print {
+    .level-right {
+      display: flex; } }
+.list {
+  background-color: white;
+  border-radius: 4px;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); }
+
+.list-item {
+  display: block;
+  padding: 0.5em 1em; }
+  .list-item:not(a) {
+    color: #222222; }
+  .list-item:first-child {
+    border-top-left-radius: 4px;
+    border-top-right-radius: 4px; }
+  .list-item:last-child {
+    border-bottom-left-radius: 4px;
+    border-bottom-right-radius: 4px; }
+  .list-item:not(:last-child) {
+    border-bottom: 1px solid #dbdbdb; }
+  .list-item.is-active {
+    background-color: #2e63b8;
+    color: #fff; }
+
+a.list-item {
+  background-color: whitesmoke;
+  cursor: pointer; }
+
+.media {
+  align-items: flex-start;
+  display: flex;
+  text-align: left; }
+  .media .content:not(:last-child) {
+    margin-bottom: 0.75rem; }
+  .media .media {
+    border-top: 1px solid rgba(219, 219, 219, 0.5);
+    display: flex;
+    padding-top: 0.75rem; }
+    .media .media .content:not(:last-child),
+    .media .media .control:not(:last-child) {
+      margin-bottom: 0.5rem; }
+    .media .media .media {
+      padding-top: 0.5rem; }
+      .media .media .media + .media {
+        margin-top: 0.5rem; }
+  .media + .media {
+    border-top: 1px solid rgba(219, 219, 219, 0.5);
+    margin-top: 1rem;
+    padding-top: 1rem; }
+  .media.is-large + .media {
+    margin-top: 1.5rem;
+    padding-top: 1.5rem; }
+
+.media-left,
+.media-right {
+  flex-basis: auto;
+  flex-grow: 0;
+  flex-shrink: 0; }
+
+.media-left {
+  margin-right: 1rem; }
+
+.media-right {
+  margin-left: 1rem; }
+
+.media-content {
+  flex-basis: auto;
+  flex-grow: 1;
+  flex-shrink: 1;
+  text-align: left; }
+
+@media screen and (max-width: 768px) {
+  .media-content {
+    overflow-x: auto; } }
+
+.menu {
+  font-size: 1rem; }
+  .menu.is-small, #documenter .docs-sidebar form.docs-search > input.menu {
+    font-size: 0.75rem; }
+  .menu.is-medium {
+    font-size: 1.25rem; }
+  .menu.is-large {
+    font-size: 1.5rem; }
+
+.menu-list {
+  line-height: 1.25; }
+  .menu-list a {
+    border-radius: 2px;
+    color: #222222;
+    display: block;
+    padding: 0.5em 0.75em; }
+    .menu-list a:hover {
+      background-color: whitesmoke;
+      color: #222222; }
+    .menu-list a.is-active {
+      background-color: #2e63b8;
+      color: #fff; }
+  .menu-list li ul {
+    border-left: 1px solid #dbdbdb;
+    margin: 0.75em;
+    padding-left: 0.75em; }
+
+.menu-label {
+  color: #6b6b6b;
+  font-size: 0.75em;
+  letter-spacing: 0.1em;
+  text-transform: uppercase; }
+  .menu-label:not(:first-child) {
+    margin-top: 1em; }
+  .menu-label:not(:last-child) {
+    margin-bottom: 1em; }
+
+.message {
+  background-color: whitesmoke;
+  border-radius: 4px;
+  font-size: 1rem; }
+  .message strong {
+    color: currentColor; }
+  .message a:not(.button):not(.tag):not(.dropdown-item) {
+    color: currentColor;
+    text-decoration: underline; }
+  .message.is-small, #documenter .docs-sidebar form.docs-search > input.message {
+    font-size: 0.75rem; }
+  .message.is-medium {
+    font-size: 1.25rem; }
+  .message.is-large {
+    font-size: 1.5rem; }
+  .message.is-white {
+    background-color: white; }
+    .message.is-white .message-header {
+      background-color: white;
+      color: #0a0a0a; }
+    .message.is-white .message-body {
+      border-color: white;
+      color: #4d4d4d; }
+  .message.is-black {
+    background-color: #fafafa; }
+    .message.is-black .message-header {
+      background-color: #0a0a0a;
+      color: white; }
+    .message.is-black .message-body {
+      border-color: #0a0a0a;
+      color: #090909; }
+  .message.is-light {
+    background-color: #fafafa; }
+    .message.is-light .message-header {
+      background-color: whitesmoke;
+      color: #363636; }
+    .message.is-light .message-body {
+      border-color: whitesmoke;
+      color: #505050; }
+  .message.is-dark, .content kbd.message {
+    background-color: #fafafa; }
+    .message.is-dark .message-header, .content kbd.message .message-header {
+      background-color: #363636;
+      color: whitesmoke; }
+    .message.is-dark .message-body, .content kbd.message .message-body {
+      border-color: #363636;
+      color: #2a2a2a; }
+  .message.is-primary, .docstring > section > a.message.docs-sourcelink {
+    background-color: #f6fbfd; }
+    .message.is-primary .message-header, .docstring > section > a.message.docs-sourcelink .message-header {
+      background-color: #4eb5de;
+      color: #fff; }
+    .message.is-primary .message-body, .docstring > section > a.message.docs-sourcelink .message-body {
+      border-color: #4eb5de;
+      color: #1f556a; }
+  .message.is-link {
+    background-color: #f7f9fd; }
+    .message.is-link .message-header {
+      background-color: #2e63b8;
+      color: #fff; }
+    .message.is-link .message-body {
+      border-color: #2e63b8;
+      color: #264981; }
+  .message.is-info {
+    background-color: #f6fbfe; }
+    .message.is-info .message-header {
+      background-color: #209cee;
+      color: #fff; }
+    .message.is-info .message-body {
+      border-color: #209cee;
+      color: #12537d; }
+  .message.is-success {
+    background-color: #f6fdf9; }
+    .message.is-success .message-header {
+      background-color: #22c35b;
+      color: #fff; }
+    .message.is-success .message-body {
+      border-color: #22c35b;
+      color: #0f361d; }
+  .message.is-warning {
+    background-color: #fffdf5; }
+    .message.is-warning .message-header {
+      background-color: #ffdd57;
+      color: rgba(0, 0, 0, 0.7); }
+    .message.is-warning .message-body {
+      border-color: #ffdd57;
+      color: #3c3108; }
+  .message.is-danger {
+    background-color: #fff5f5; }
+    .message.is-danger .message-header {
+      background-color: #da0b00;
+      color: #fff; }
+    .message.is-danger .message-body {
+      border-color: #da0b00;
+      color: #9b0c04; }
+
+.message-header {
+  align-items: center;
+  background-color: #222222;
+  border-radius: 4px 4px 0 0;
+  color: #fff;
+  display: flex;
+  font-weight: 700;
+  justify-content: space-between;
+  line-height: 1.25;
+  padding: 0.75em 1em;
+  position: relative; }
+  .message-header .delete {
+    flex-grow: 0;
+    flex-shrink: 0;
+    margin-left: 0.75em; }
+  .message-header + .message-body {
+    border-width: 0;
+    border-top-left-radius: 0;
+    border-top-right-radius: 0; }
+
+.message-body {
+  border-color: #dbdbdb;
+  border-radius: 4px;
+  border-style: solid;
+  border-width: 0 0 0 4px;
+  color: #222222;
+  padding: 1.25em 1.5em; }
+  .message-body code,
+  .message-body pre {
+    background-color: white; }
+  .message-body pre code {
+    background-color: transparent; }
+
+.modal {
+  align-items: center;
+  display: none;
+  flex-direction: column;
+  justify-content: center;
+  overflow: hidden;
+  position: fixed;
+  z-index: 40; }
+  .modal.is-active {
+    display: flex; }
+
+.modal-background {
+  background-color: rgba(10, 10, 10, 0.86); }
+
+.modal-content,
+.modal-card {
+  margin: 0 20px;
+  max-height: calc(100vh - 160px);
+  overflow: auto;
+  position: relative;
+  width: 100%; }
+  @media screen and (min-width: 769px), print {
+    .modal-content,
+    .modal-card {
+      margin: 0 auto;
+      max-height: calc(100vh - 40px);
+      width: 640px; } }
+.modal-close {
+  background: none;
+  height: 40px;
+  position: fixed;
+  right: 20px;
+  top: 20px;
+  width: 40px; }
+
+.modal-card {
+  display: flex;
+  flex-direction: column;
+  max-height: calc(100vh - 40px);
+  overflow: hidden;
+  -ms-overflow-y: visible; }
+
+.modal-card-head,
+.modal-card-foot {
+  align-items: center;
+  background-color: whitesmoke;
+  display: flex;
+  flex-shrink: 0;
+  justify-content: flex-start;
+  padding: 20px;
+  position: relative; }
+
+.modal-card-head {
+  border-bottom: 1px solid #dbdbdb;
+  border-top-left-radius: 6px;
+  border-top-right-radius: 6px; }
+
+.modal-card-title {
+  color: #222222;
+  flex-grow: 1;
+  flex-shrink: 0;
+  font-size: 1.5rem;
+  line-height: 1; }
+
+.modal-card-foot {
+  border-bottom-left-radius: 6px;
+  border-bottom-right-radius: 6px;
+  border-top: 1px solid #dbdbdb; }
+  .modal-card-foot .button:not(:last-child) {
+    margin-right: 0.5em; }
+
+.modal-card-body {
+  -webkit-overflow-scrolling: touch;
+  background-color: white;
+  flex-grow: 1;
+  flex-shrink: 1;
+  overflow: auto;
+  padding: 20px; }
+
+.navbar {
+  background-color: white;
+  min-height: 3.25rem;
+  position: relative;
+  z-index: 30; }
+  .navbar.is-white {
+    background-color: white;
+    color: #0a0a0a; }
+    .navbar.is-white .navbar-brand > .navbar-item,
+    .navbar.is-white .navbar-brand .navbar-link {
+      color: #0a0a0a; }
+    .navbar.is-white .navbar-brand > a.navbar-item:focus, .navbar.is-white .navbar-brand > a.navbar-item:hover, .navbar.is-white .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-white .navbar-brand .navbar-link:focus,
+    .navbar.is-white .navbar-brand .navbar-link:hover,
+    .navbar.is-white .navbar-brand .navbar-link.is-active {
+      background-color: #f2f2f2;
+      color: #0a0a0a; }
+    .navbar.is-white .navbar-brand .navbar-link::after {
+      border-color: #0a0a0a; }
+    .navbar.is-white .navbar-burger {
+      color: #0a0a0a; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-white .navbar-start > .navbar-item,
+      .navbar.is-white .navbar-start .navbar-link,
+      .navbar.is-white .navbar-end > .navbar-item,
+      .navbar.is-white .navbar-end .navbar-link {
+        color: #0a0a0a; }
+      .navbar.is-white .navbar-start > a.navbar-item:focus, .navbar.is-white .navbar-start > a.navbar-item:hover, .navbar.is-white .navbar-start > a.navbar-item.is-active,
+      .navbar.is-white .navbar-start .navbar-link:focus,
+      .navbar.is-white .navbar-start .navbar-link:hover,
+      .navbar.is-white .navbar-start .navbar-link.is-active,
+      .navbar.is-white .navbar-end > a.navbar-item:focus,
+      .navbar.is-white .navbar-end > a.navbar-item:hover,
+      .navbar.is-white .navbar-end > a.navbar-item.is-active,
+      .navbar.is-white .navbar-end .navbar-link:focus,
+      .navbar.is-white .navbar-end .navbar-link:hover,
+      .navbar.is-white .navbar-end .navbar-link.is-active {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      .navbar.is-white .navbar-start .navbar-link::after,
+      .navbar.is-white .navbar-end .navbar-link::after {
+        border-color: #0a0a0a; }
+      .navbar.is-white .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-white .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-white .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      .navbar.is-white .navbar-dropdown a.navbar-item.is-active {
+        background-color: white;
+        color: #0a0a0a; } }
+  .navbar.is-black {
+    background-color: #0a0a0a;
+    color: white; }
+    .navbar.is-black .navbar-brand > .navbar-item,
+    .navbar.is-black .navbar-brand .navbar-link {
+      color: white; }
+    .navbar.is-black .navbar-brand > a.navbar-item:focus, .navbar.is-black .navbar-brand > a.navbar-item:hover, .navbar.is-black .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-black .navbar-brand .navbar-link:focus,
+    .navbar.is-black .navbar-brand .navbar-link:hover,
+    .navbar.is-black .navbar-brand .navbar-link.is-active {
+      background-color: black;
+      color: white; }
+    .navbar.is-black .navbar-brand .navbar-link::after {
+      border-color: white; }
+    .navbar.is-black .navbar-burger {
+      color: white; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-black .navbar-start > .navbar-item,
+      .navbar.is-black .navbar-start .navbar-link,
+      .navbar.is-black .navbar-end > .navbar-item,
+      .navbar.is-black .navbar-end .navbar-link {
+        color: white; }
+      .navbar.is-black .navbar-start > a.navbar-item:focus, .navbar.is-black .navbar-start > a.navbar-item:hover, .navbar.is-black .navbar-start > a.navbar-item.is-active,
+      .navbar.is-black .navbar-start .navbar-link:focus,
+      .navbar.is-black .navbar-start .navbar-link:hover,
+      .navbar.is-black .navbar-start .navbar-link.is-active,
+      .navbar.is-black .navbar-end > a.navbar-item:focus,
+      .navbar.is-black .navbar-end > a.navbar-item:hover,
+      .navbar.is-black .navbar-end > a.navbar-item.is-active,
+      .navbar.is-black .navbar-end .navbar-link:focus,
+      .navbar.is-black .navbar-end .navbar-link:hover,
+      .navbar.is-black .navbar-end .navbar-link.is-active {
+        background-color: black;
+        color: white; }
+      .navbar.is-black .navbar-start .navbar-link::after,
+      .navbar.is-black .navbar-end .navbar-link::after {
+        border-color: white; }
+      .navbar.is-black .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-black .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-black .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: black;
+        color: white; }
+      .navbar.is-black .navbar-dropdown a.navbar-item.is-active {
+        background-color: #0a0a0a;
+        color: white; } }
+  .navbar.is-light {
+    background-color: whitesmoke;
+    color: #363636; }
+    .navbar.is-light .navbar-brand > .navbar-item,
+    .navbar.is-light .navbar-brand .navbar-link {
+      color: #363636; }
+    .navbar.is-light .navbar-brand > a.navbar-item:focus, .navbar.is-light .navbar-brand > a.navbar-item:hover, .navbar.is-light .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-light .navbar-brand .navbar-link:focus,
+    .navbar.is-light .navbar-brand .navbar-link:hover,
+    .navbar.is-light .navbar-brand .navbar-link.is-active {
+      background-color: #e8e8e8;
+      color: #363636; }
+    .navbar.is-light .navbar-brand .navbar-link::after {
+      border-color: #363636; }
+    .navbar.is-light .navbar-burger {
+      color: #363636; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-light .navbar-start > .navbar-item,
+      .navbar.is-light .navbar-start .navbar-link,
+      .navbar.is-light .navbar-end > .navbar-item,
+      .navbar.is-light .navbar-end .navbar-link {
+        color: #363636; }
+      .navbar.is-light .navbar-start > a.navbar-item:focus, .navbar.is-light .navbar-start > a.navbar-item:hover, .navbar.is-light .navbar-start > a.navbar-item.is-active,
+      .navbar.is-light .navbar-start .navbar-link:focus,
+      .navbar.is-light .navbar-start .navbar-link:hover,
+      .navbar.is-light .navbar-start .navbar-link.is-active,
+      .navbar.is-light .navbar-end > a.navbar-item:focus,
+      .navbar.is-light .navbar-end > a.navbar-item:hover,
+      .navbar.is-light .navbar-end > a.navbar-item.is-active,
+      .navbar.is-light .navbar-end .navbar-link:focus,
+      .navbar.is-light .navbar-end .navbar-link:hover,
+      .navbar.is-light .navbar-end .navbar-link.is-active {
+        background-color: #e8e8e8;
+        color: #363636; }
+      .navbar.is-light .navbar-start .navbar-link::after,
+      .navbar.is-light .navbar-end .navbar-link::after {
+        border-color: #363636; }
+      .navbar.is-light .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-light .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-light .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #e8e8e8;
+        color: #363636; }
+      .navbar.is-light .navbar-dropdown a.navbar-item.is-active {
+        background-color: whitesmoke;
+        color: #363636; } }
+  .navbar.is-dark, .content kbd.navbar {
+    background-color: #363636;
+    color: whitesmoke; }
+    .navbar.is-dark .navbar-brand > .navbar-item, .content kbd.navbar .navbar-brand > .navbar-item,
+    .navbar.is-dark .navbar-brand .navbar-link,
+    .content kbd.navbar .navbar-brand .navbar-link {
+      color: whitesmoke; }
+    .navbar.is-dark .navbar-brand > a.navbar-item:focus, .content kbd.navbar .navbar-brand > a.navbar-item:focus, .navbar.is-dark .navbar-brand > a.navbar-item:hover, .content kbd.navbar .navbar-brand > a.navbar-item:hover, .navbar.is-dark .navbar-brand > a.navbar-item.is-active, .content kbd.navbar .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-dark .navbar-brand .navbar-link:focus,
+    .content kbd.navbar .navbar-brand .navbar-link:focus,
+    .navbar.is-dark .navbar-brand .navbar-link:hover,
+    .content kbd.navbar .navbar-brand .navbar-link:hover,
+    .navbar.is-dark .navbar-brand .navbar-link.is-active,
+    .content kbd.navbar .navbar-brand .navbar-link.is-active {
+      background-color: #292929;
+      color: whitesmoke; }
+    .navbar.is-dark .navbar-brand .navbar-link::after, .content kbd.navbar .navbar-brand .navbar-link::after {
+      border-color: whitesmoke; }
+    .navbar.is-dark .navbar-burger, .content kbd.navbar .navbar-burger {
+      color: whitesmoke; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-dark .navbar-start > .navbar-item, .content kbd.navbar .navbar-start > .navbar-item,
+      .navbar.is-dark .navbar-start .navbar-link,
+      .content kbd.navbar .navbar-start .navbar-link,
+      .navbar.is-dark .navbar-end > .navbar-item,
+      .content kbd.navbar .navbar-end > .navbar-item,
+      .navbar.is-dark .navbar-end .navbar-link,
+      .content kbd.navbar .navbar-end .navbar-link {
+        color: whitesmoke; }
+      .navbar.is-dark .navbar-start > a.navbar-item:focus, .content kbd.navbar .navbar-start > a.navbar-item:focus, .navbar.is-dark .navbar-start > a.navbar-item:hover, .content kbd.navbar .navbar-start > a.navbar-item:hover, .navbar.is-dark .navbar-start > a.navbar-item.is-active, .content kbd.navbar .navbar-start > a.navbar-item.is-active,
+      .navbar.is-dark .navbar-start .navbar-link:focus,
+      .content kbd.navbar .navbar-start .navbar-link:focus,
+      .navbar.is-dark .navbar-start .navbar-link:hover,
+      .content kbd.navbar .navbar-start .navbar-link:hover,
+      .navbar.is-dark .navbar-start .navbar-link.is-active,
+      .content kbd.navbar .navbar-start .navbar-link.is-active,
+      .navbar.is-dark .navbar-end > a.navbar-item:focus,
+      .content kbd.navbar .navbar-end > a.navbar-item:focus,
+      .navbar.is-dark .navbar-end > a.navbar-item:hover,
+      .content kbd.navbar .navbar-end > a.navbar-item:hover,
+      .navbar.is-dark .navbar-end > a.navbar-item.is-active,
+      .content kbd.navbar .navbar-end > a.navbar-item.is-active,
+      .navbar.is-dark .navbar-end .navbar-link:focus,
+      .content kbd.navbar .navbar-end .navbar-link:focus,
+      .navbar.is-dark .navbar-end .navbar-link:hover,
+      .content kbd.navbar .navbar-end .navbar-link:hover,
+      .navbar.is-dark .navbar-end .navbar-link.is-active,
+      .content kbd.navbar .navbar-end .navbar-link.is-active {
+        background-color: #292929;
+        color: whitesmoke; }
+      .navbar.is-dark .navbar-start .navbar-link::after, .content kbd.navbar .navbar-start .navbar-link::after,
+      .navbar.is-dark .navbar-end .navbar-link::after,
+      .content kbd.navbar .navbar-end .navbar-link::after {
+        border-color: whitesmoke; }
+      .navbar.is-dark .navbar-item.has-dropdown:focus .navbar-link, .content kbd.navbar .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-dark .navbar-item.has-dropdown:hover .navbar-link,
+      .content kbd.navbar .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-dark .navbar-item.has-dropdown.is-active .navbar-link,
+      .content kbd.navbar .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #292929;
+        color: whitesmoke; }
+      .navbar.is-dark .navbar-dropdown a.navbar-item.is-active, .content kbd.navbar .navbar-dropdown a.navbar-item.is-active {
+        background-color: #363636;
+        color: whitesmoke; } }
+  .navbar.is-primary, .docstring > section > a.navbar.docs-sourcelink {
+    background-color: #4eb5de;
+    color: #fff; }
+    .navbar.is-primary .navbar-brand > .navbar-item, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > .navbar-item,
+    .navbar.is-primary .navbar-brand .navbar-link,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-primary .navbar-brand > a.navbar-item:focus, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:focus, .navbar.is-primary .navbar-brand > a.navbar-item:hover, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:hover, .navbar.is-primary .navbar-brand > a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-primary .navbar-brand .navbar-link:focus,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:focus,
+    .navbar.is-primary .navbar-brand .navbar-link:hover,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:hover,
+    .navbar.is-primary .navbar-brand .navbar-link.is-active,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link.is-active {
+      background-color: #39acda;
+      color: #fff; }
+    .navbar.is-primary .navbar-brand .navbar-link::after, .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-primary .navbar-burger, .docstring > section > a.navbar.docs-sourcelink .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-primary .navbar-start > .navbar-item, .docstring > section > a.navbar.docs-sourcelink .navbar-start > .navbar-item,
+      .navbar.is-primary .navbar-start .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link,
+      .navbar.is-primary .navbar-end > .navbar-item,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > .navbar-item,
+      .navbar.is-primary .navbar-end .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-primary .navbar-start > a.navbar-item:focus, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:focus, .navbar.is-primary .navbar-start > a.navbar-item:hover, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:hover, .navbar.is-primary .navbar-start > a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item.is-active,
+      .navbar.is-primary .navbar-start .navbar-link:focus,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:focus,
+      .navbar.is-primary .navbar-start .navbar-link:hover,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:hover,
+      .navbar.is-primary .navbar-start .navbar-link.is-active,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link.is-active,
+      .navbar.is-primary .navbar-end > a.navbar-item:focus,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:focus,
+      .navbar.is-primary .navbar-end > a.navbar-item:hover,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:hover,
+      .navbar.is-primary .navbar-end > a.navbar-item.is-active,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item.is-active,
+      .navbar.is-primary .navbar-end .navbar-link:focus,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:focus,
+      .navbar.is-primary .navbar-end .navbar-link:hover,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:hover,
+      .navbar.is-primary .navbar-end .navbar-link.is-active,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link.is-active {
+        background-color: #39acda;
+        color: #fff; }
+      .navbar.is-primary .navbar-start .navbar-link::after, .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link::after,
+      .navbar.is-primary .navbar-end .navbar-link::after,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-primary .navbar-item.has-dropdown:focus .navbar-link, .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-primary .navbar-item.has-dropdown:hover .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-primary .navbar-item.has-dropdown.is-active .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #39acda;
+        color: #fff; }
+      .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active {
+        background-color: #4eb5de;
+        color: #fff; } }
+  .navbar.is-link {
+    background-color: #2e63b8;
+    color: #fff; }
+    .navbar.is-link .navbar-brand > .navbar-item,
+    .navbar.is-link .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-link .navbar-brand > a.navbar-item:focus, .navbar.is-link .navbar-brand > a.navbar-item:hover, .navbar.is-link .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-link .navbar-brand .navbar-link:focus,
+    .navbar.is-link .navbar-brand .navbar-link:hover,
+    .navbar.is-link .navbar-brand .navbar-link.is-active {
+      background-color: #2958a4;
+      color: #fff; }
+    .navbar.is-link .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-link .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-link .navbar-start > .navbar-item,
+      .navbar.is-link .navbar-start .navbar-link,
+      .navbar.is-link .navbar-end > .navbar-item,
+      .navbar.is-link .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-link .navbar-start > a.navbar-item:focus, .navbar.is-link .navbar-start > a.navbar-item:hover, .navbar.is-link .navbar-start > a.navbar-item.is-active,
+      .navbar.is-link .navbar-start .navbar-link:focus,
+      .navbar.is-link .navbar-start .navbar-link:hover,
+      .navbar.is-link .navbar-start .navbar-link.is-active,
+      .navbar.is-link .navbar-end > a.navbar-item:focus,
+      .navbar.is-link .navbar-end > a.navbar-item:hover,
+      .navbar.is-link .navbar-end > a.navbar-item.is-active,
+      .navbar.is-link .navbar-end .navbar-link:focus,
+      .navbar.is-link .navbar-end .navbar-link:hover,
+      .navbar.is-link .navbar-end .navbar-link.is-active {
+        background-color: #2958a4;
+        color: #fff; }
+      .navbar.is-link .navbar-start .navbar-link::after,
+      .navbar.is-link .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-link .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-link .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-link .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #2958a4;
+        color: #fff; }
+      .navbar.is-link .navbar-dropdown a.navbar-item.is-active {
+        background-color: #2e63b8;
+        color: #fff; } }
+  .navbar.is-info {
+    background-color: #209cee;
+    color: #fff; }
+    .navbar.is-info .navbar-brand > .navbar-item,
+    .navbar.is-info .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-info .navbar-brand > a.navbar-item:focus, .navbar.is-info .navbar-brand > a.navbar-item:hover, .navbar.is-info .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-info .navbar-brand .navbar-link:focus,
+    .navbar.is-info .navbar-brand .navbar-link:hover,
+    .navbar.is-info .navbar-brand .navbar-link.is-active {
+      background-color: #1190e3;
+      color: #fff; }
+    .navbar.is-info .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-info .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-info .navbar-start > .navbar-item,
+      .navbar.is-info .navbar-start .navbar-link,
+      .navbar.is-info .navbar-end > .navbar-item,
+      .navbar.is-info .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-info .navbar-start > a.navbar-item:focus, .navbar.is-info .navbar-start > a.navbar-item:hover, .navbar.is-info .navbar-start > a.navbar-item.is-active,
+      .navbar.is-info .navbar-start .navbar-link:focus,
+      .navbar.is-info .navbar-start .navbar-link:hover,
+      .navbar.is-info .navbar-start .navbar-link.is-active,
+      .navbar.is-info .navbar-end > a.navbar-item:focus,
+      .navbar.is-info .navbar-end > a.navbar-item:hover,
+      .navbar.is-info .navbar-end > a.navbar-item.is-active,
+      .navbar.is-info .navbar-end .navbar-link:focus,
+      .navbar.is-info .navbar-end .navbar-link:hover,
+      .navbar.is-info .navbar-end .navbar-link.is-active {
+        background-color: #1190e3;
+        color: #fff; }
+      .navbar.is-info .navbar-start .navbar-link::after,
+      .navbar.is-info .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-info .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-info .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-info .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #1190e3;
+        color: #fff; }
+      .navbar.is-info .navbar-dropdown a.navbar-item.is-active {
+        background-color: #209cee;
+        color: #fff; } }
+  .navbar.is-success {
+    background-color: #22c35b;
+    color: #fff; }
+    .navbar.is-success .navbar-brand > .navbar-item,
+    .navbar.is-success .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-success .navbar-brand > a.navbar-item:focus, .navbar.is-success .navbar-brand > a.navbar-item:hover, .navbar.is-success .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-success .navbar-brand .navbar-link:focus,
+    .navbar.is-success .navbar-brand .navbar-link:hover,
+    .navbar.is-success .navbar-brand .navbar-link.is-active {
+      background-color: #1ead51;
+      color: #fff; }
+    .navbar.is-success .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-success .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-success .navbar-start > .navbar-item,
+      .navbar.is-success .navbar-start .navbar-link,
+      .navbar.is-success .navbar-end > .navbar-item,
+      .navbar.is-success .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-success .navbar-start > a.navbar-item:focus, .navbar.is-success .navbar-start > a.navbar-item:hover, .navbar.is-success .navbar-start > a.navbar-item.is-active,
+      .navbar.is-success .navbar-start .navbar-link:focus,
+      .navbar.is-success .navbar-start .navbar-link:hover,
+      .navbar.is-success .navbar-start .navbar-link.is-active,
+      .navbar.is-success .navbar-end > a.navbar-item:focus,
+      .navbar.is-success .navbar-end > a.navbar-item:hover,
+      .navbar.is-success .navbar-end > a.navbar-item.is-active,
+      .navbar.is-success .navbar-end .navbar-link:focus,
+      .navbar.is-success .navbar-end .navbar-link:hover,
+      .navbar.is-success .navbar-end .navbar-link.is-active {
+        background-color: #1ead51;
+        color: #fff; }
+      .navbar.is-success .navbar-start .navbar-link::after,
+      .navbar.is-success .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-success .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-success .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-success .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #1ead51;
+        color: #fff; }
+      .navbar.is-success .navbar-dropdown a.navbar-item.is-active {
+        background-color: #22c35b;
+        color: #fff; } }
+  .navbar.is-warning {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-brand > .navbar-item,
+    .navbar.is-warning .navbar-brand .navbar-link {
+      color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-brand > a.navbar-item:focus, .navbar.is-warning .navbar-brand > a.navbar-item:hover, .navbar.is-warning .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-warning .navbar-brand .navbar-link:focus,
+    .navbar.is-warning .navbar-brand .navbar-link:hover,
+    .navbar.is-warning .navbar-brand .navbar-link.is-active {
+      background-color: #ffd83e;
+      color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-brand .navbar-link::after {
+      border-color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-burger {
+      color: rgba(0, 0, 0, 0.7); }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-warning .navbar-start > .navbar-item,
+      .navbar.is-warning .navbar-start .navbar-link,
+      .navbar.is-warning .navbar-end > .navbar-item,
+      .navbar.is-warning .navbar-end .navbar-link {
+        color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-start > a.navbar-item:focus, .navbar.is-warning .navbar-start > a.navbar-item:hover, .navbar.is-warning .navbar-start > a.navbar-item.is-active,
+      .navbar.is-warning .navbar-start .navbar-link:focus,
+      .navbar.is-warning .navbar-start .navbar-link:hover,
+      .navbar.is-warning .navbar-start .navbar-link.is-active,
+      .navbar.is-warning .navbar-end > a.navbar-item:focus,
+      .navbar.is-warning .navbar-end > a.navbar-item:hover,
+      .navbar.is-warning .navbar-end > a.navbar-item.is-active,
+      .navbar.is-warning .navbar-end .navbar-link:focus,
+      .navbar.is-warning .navbar-end .navbar-link:hover,
+      .navbar.is-warning .navbar-end .navbar-link.is-active {
+        background-color: #ffd83e;
+        color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-start .navbar-link::after,
+      .navbar.is-warning .navbar-end .navbar-link::after {
+        border-color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-warning .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-warning .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #ffd83e;
+        color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-dropdown a.navbar-item.is-active {
+        background-color: #ffdd57;
+        color: rgba(0, 0, 0, 0.7); } }
+  .navbar.is-danger {
+    background-color: #da0b00;
+    color: #fff; }
+    .navbar.is-danger .navbar-brand > .navbar-item,
+    .navbar.is-danger .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-danger .navbar-brand > a.navbar-item:focus, .navbar.is-danger .navbar-brand > a.navbar-item:hover, .navbar.is-danger .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-danger .navbar-brand .navbar-link:focus,
+    .navbar.is-danger .navbar-brand .navbar-link:hover,
+    .navbar.is-danger .navbar-brand .navbar-link.is-active {
+      background-color: #c10a00;
+      color: #fff; }
+    .navbar.is-danger .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-danger .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-danger .navbar-start > .navbar-item,
+      .navbar.is-danger .navbar-start .navbar-link,
+      .navbar.is-danger .navbar-end > .navbar-item,
+      .navbar.is-danger .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-danger .navbar-start > a.navbar-item:focus, .navbar.is-danger .navbar-start > a.navbar-item:hover, .navbar.is-danger .navbar-start > a.navbar-item.is-active,
+      .navbar.is-danger .navbar-start .navbar-link:focus,
+      .navbar.is-danger .navbar-start .navbar-link:hover,
+      .navbar.is-danger .navbar-start .navbar-link.is-active,
+      .navbar.is-danger .navbar-end > a.navbar-item:focus,
+      .navbar.is-danger .navbar-end > a.navbar-item:hover,
+      .navbar.is-danger .navbar-end > a.navbar-item.is-active,
+      .navbar.is-danger .navbar-end .navbar-link:focus,
+      .navbar.is-danger .navbar-end .navbar-link:hover,
+      .navbar.is-danger .navbar-end .navbar-link.is-active {
+        background-color: #c10a00;
+        color: #fff; }
+      .navbar.is-danger .navbar-start .navbar-link::after,
+      .navbar.is-danger .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-danger .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-danger .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-danger .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #c10a00;
+        color: #fff; }
+      .navbar.is-danger .navbar-dropdown a.navbar-item.is-active {
+        background-color: #da0b00;
+        color: #fff; } }
+  .navbar > .container {
+    align-items: stretch;
+    display: flex;
+    min-height: 3.25rem;
+    width: 100%; }
+  .navbar.has-shadow {
+    box-shadow: 0 2px 0 0 whitesmoke; }
+  .navbar.is-fixed-bottom, .navbar.is-fixed-top {
+    left: 0;
+    position: fixed;
+    right: 0;
+    z-index: 30; }
+  .navbar.is-fixed-bottom {
+    bottom: 0; }
+    .navbar.is-fixed-bottom.has-shadow {
+      box-shadow: 0 -2px 0 0 whitesmoke; }
+  .navbar.is-fixed-top {
+    top: 0; }
+
+html.has-navbar-fixed-top,
+body.has-navbar-fixed-top {
+  padding-top: 3.25rem; }
+
+html.has-navbar-fixed-bottom,
+body.has-navbar-fixed-bottom {
+  padding-bottom: 3.25rem; }
+
+.navbar-brand,
+.navbar-tabs {
+  align-items: stretch;
+  display: flex;
+  flex-shrink: 0;
+  min-height: 3.25rem; }
+
+.navbar-brand a.navbar-item:focus, .navbar-brand a.navbar-item:hover {
+  background-color: transparent; }
+
+.navbar-tabs {
+  -webkit-overflow-scrolling: touch;
+  max-width: 100vw;
+  overflow-x: auto;
+  overflow-y: hidden; }
+
+.navbar-burger {
+  color: #4a4a4a;
+  cursor: pointer;
+  display: block;
+  height: 3.25rem;
+  position: relative;
+  width: 3.25rem;
+  margin-left: auto; }
+  .navbar-burger span {
+    background-color: currentColor;
+    display: block;
+    height: 1px;
+    left: calc(50% - 8px);
+    position: absolute;
+    transform-origin: center;
+    transition-duration: 86ms;
+    transition-property: background-color, opacity, transform;
+    transition-timing-function: ease-out;
+    width: 16px; }
+    .navbar-burger span:nth-child(1) {
+      top: calc(50% - 6px); }
+    .navbar-burger span:nth-child(2) {
+      top: calc(50% - 1px); }
+    .navbar-burger span:nth-child(3) {
+      top: calc(50% + 4px); }
+  .navbar-burger:hover {
+    background-color: rgba(0, 0, 0, 0.05); }
+  .navbar-burger.is-active span:nth-child(1) {
+    transform: translateY(5px) rotate(45deg); }
+  .navbar-burger.is-active span:nth-child(2) {
+    opacity: 0; }
+  .navbar-burger.is-active span:nth-child(3) {
+    transform: translateY(-5px) rotate(-45deg); }
+
+.navbar-menu {
+  display: none; }
+
+.navbar-item,
+.navbar-link {
+  color: #4a4a4a;
+  display: block;
+  line-height: 1.5;
+  padding: 0.5rem 0.75rem;
+  position: relative; }
+  .navbar-item .icon:only-child,
+  .navbar-link .icon:only-child {
+    margin-left: -0.25rem;
+    margin-right: -0.25rem; }
+
+a.navbar-item,
+.navbar-link {
+  cursor: pointer; }
+  a.navbar-item:focus, a.navbar-item:focus-within, a.navbar-item:hover, a.navbar-item.is-active,
+  .navbar-link:focus,
+  .navbar-link:focus-within,
+  .navbar-link:hover,
+  .navbar-link.is-active {
+    background-color: #fafafa;
+    color: #2e63b8; }
+
+.navbar-item {
+  display: block;
+  flex-grow: 0;
+  flex-shrink: 0; }
+  .navbar-item img {
+    max-height: 1.75rem; }
+  .navbar-item.has-dropdown {
+    padding: 0; }
+  .navbar-item.is-expanded {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .navbar-item.is-tab {
+    border-bottom: 1px solid transparent;
+    min-height: 3.25rem;
+    padding-bottom: calc(0.5rem - 1px); }
+    .navbar-item.is-tab:focus, .navbar-item.is-tab:hover {
+      background-color: transparent;
+      border-bottom-color: #2e63b8; }
+    .navbar-item.is-tab.is-active {
+      background-color: transparent;
+      border-bottom-color: #2e63b8;
+      border-bottom-style: solid;
+      border-bottom-width: 3px;
+      color: #2e63b8;
+      padding-bottom: calc(0.5rem - 3px); }
+
+.navbar-content {
+  flex-grow: 1;
+  flex-shrink: 1; }
+
+.navbar-link:not(.is-arrowless) {
+  padding-right: 2.5em; }
+  .navbar-link:not(.is-arrowless)::after {
+    border-color: #2e63b8;
+    margin-top: -0.375em;
+    right: 1.125em; }
+
+.navbar-dropdown {
+  font-size: 0.875rem;
+  padding-bottom: 0.5rem;
+  padding-top: 0.5rem; }
+  .navbar-dropdown .navbar-item {
+    padding-left: 1.5rem;
+    padding-right: 1.5rem; }
+
+.navbar-divider {
+  background-color: whitesmoke;
+  border: none;
+  display: none;
+  height: 2px;
+  margin: 0.5rem 0; }
+
+@media screen and (max-width: 1055px) {
+  .navbar > .container {
+    display: block; }
+  .navbar-brand .navbar-item,
+  .navbar-tabs .navbar-item {
+    align-items: center;
+    display: flex; }
+  .navbar-link::after {
+    display: none; }
+  .navbar-menu {
+    background-color: white;
+    box-shadow: 0 8px 16px rgba(10, 10, 10, 0.1);
+    padding: 0.5rem 0; }
+    .navbar-menu.is-active {
+      display: block; }
+  .navbar.is-fixed-bottom-touch, .navbar.is-fixed-top-touch {
+    left: 0;
+    position: fixed;
+    right: 0;
+    z-index: 30; }
+  .navbar.is-fixed-bottom-touch {
+    bottom: 0; }
+    .navbar.is-fixed-bottom-touch.has-shadow {
+      box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+  .navbar.is-fixed-top-touch {
+    top: 0; }
+  .navbar.is-fixed-top .navbar-menu, .navbar.is-fixed-top-touch .navbar-menu {
+    -webkit-overflow-scrolling: touch;
+    max-height: calc(100vh - 3.25rem);
+    overflow: auto; }
+  html.has-navbar-fixed-top-touch,
+  body.has-navbar-fixed-top-touch {
+    padding-top: 3.25rem; }
+  html.has-navbar-fixed-bottom-touch,
+  body.has-navbar-fixed-bottom-touch {
+    padding-bottom: 3.25rem; } }
+
+@media screen and (min-width: 1056px) {
+  .navbar,
+  .navbar-menu,
+  .navbar-start,
+  .navbar-end {
+    align-items: stretch;
+    display: flex; }
+  .navbar {
+    min-height: 3.25rem; }
+    .navbar.is-spaced {
+      padding: 1rem 2rem; }
+      .navbar.is-spaced .navbar-start,
+      .navbar.is-spaced .navbar-end {
+        align-items: center; }
+      .navbar.is-spaced a.navbar-item,
+      .navbar.is-spaced .navbar-link {
+        border-radius: 4px; }
+    .navbar.is-transparent a.navbar-item:focus, .navbar.is-transparent a.navbar-item:hover, .navbar.is-transparent a.navbar-item.is-active,
+    .navbar.is-transparent .navbar-link:focus,
+    .navbar.is-transparent .navbar-link:hover,
+    .navbar.is-transparent .navbar-link.is-active {
+      background-color: transparent !important; }
+    .navbar.is-transparent .navbar-item.has-dropdown.is-active .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus-within .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:hover .navbar-link {
+      background-color: transparent !important; }
+    .navbar.is-transparent .navbar-dropdown a.navbar-item:focus, .navbar.is-transparent .navbar-dropdown a.navbar-item:hover {
+      background-color: whitesmoke;
+      color: #0a0a0a; }
+    .navbar.is-transparent .navbar-dropdown a.navbar-item.is-active {
+      background-color: whitesmoke;
+      color: #2e63b8; }
+  .navbar-burger {
+    display: none; }
+  .navbar-item,
+  .navbar-link {
+    align-items: center;
+    display: flex; }
+  .navbar-item {
+    display: flex; }
+    .navbar-item.has-dropdown {
+      align-items: stretch; }
+    .navbar-item.has-dropdown-up .navbar-link::after {
+      transform: rotate(135deg) translate(0.25em, -0.25em); }
+    .navbar-item.has-dropdown-up .navbar-dropdown {
+      border-bottom: 2px solid #dbdbdb;
+      border-radius: 6px 6px 0 0;
+      border-top: none;
+      bottom: 100%;
+      box-shadow: 0 -8px 8px rgba(10, 10, 10, 0.1);
+      top: auto; }
+    .navbar-item.is-active .navbar-dropdown, .navbar-item.is-hoverable:focus .navbar-dropdown, .navbar-item.is-hoverable:focus-within .navbar-dropdown, .navbar-item.is-hoverable:hover .navbar-dropdown {
+      display: block; }
+      .navbar.is-spaced .navbar-item.is-active .navbar-dropdown, .navbar-item.is-active .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:focus .navbar-dropdown, .navbar-item.is-hoverable:focus .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:focus-within .navbar-dropdown, .navbar-item.is-hoverable:focus-within .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:hover .navbar-dropdown, .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed {
+        opacity: 1;
+        pointer-events: auto;
+        transform: translateY(0); }
+  .navbar-menu {
+    flex-grow: 1;
+    flex-shrink: 0; }
+  .navbar-start {
+    justify-content: flex-start;
+    margin-right: auto; }
+  .navbar-end {
+    justify-content: flex-end;
+    margin-left: auto; }
+  .navbar-dropdown {
+    background-color: white;
+    border-bottom-left-radius: 6px;
+    border-bottom-right-radius: 6px;
+    border-top: 2px solid #dbdbdb;
+    box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1);
+    display: none;
+    font-size: 0.875rem;
+    left: 0;
+    min-width: 100%;
+    position: absolute;
+    top: 100%;
+    z-index: 20; }
+    .navbar-dropdown .navbar-item {
+      padding: 0.375rem 1rem;
+      white-space: nowrap; }
+    .navbar-dropdown a.navbar-item {
+      padding-right: 3rem; }
+      .navbar-dropdown a.navbar-item:focus, .navbar-dropdown a.navbar-item:hover {
+        background-color: whitesmoke;
+        color: #0a0a0a; }
+      .navbar-dropdown a.navbar-item.is-active {
+        background-color: whitesmoke;
+        color: #2e63b8; }
+    .navbar.is-spaced .navbar-dropdown, .navbar-dropdown.is-boxed {
+      border-radius: 6px;
+      border-top: none;
+      box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+      display: block;
+      opacity: 0;
+      pointer-events: none;
+      top: calc(100% + (-4px));
+      transform: translateY(-5px);
+      transition-duration: 86ms;
+      transition-property: opacity, transform; }
+    .navbar-dropdown.is-right {
+      left: auto;
+      right: 0; }
+  .navbar-divider {
+    display: block; }
+  .navbar > .container .navbar-brand,
+  .container > .navbar .navbar-brand {
+    margin-left: -.75rem; }
+  .navbar > .container .navbar-menu,
+  .container > .navbar .navbar-menu {
+    margin-right: -.75rem; }
+  .navbar.is-fixed-bottom-desktop, .navbar.is-fixed-top-desktop {
+    left: 0;
+    position: fixed;
+    right: 0;
+    z-index: 30; }
+  .navbar.is-fixed-bottom-desktop {
+    bottom: 0; }
+    .navbar.is-fixed-bottom-desktop.has-shadow {
+      box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+  .navbar.is-fixed-top-desktop {
+    top: 0; }
+  html.has-navbar-fixed-top-desktop,
+  body.has-navbar-fixed-top-desktop {
+    padding-top: 3.25rem; }
+  html.has-navbar-fixed-bottom-desktop,
+  body.has-navbar-fixed-bottom-desktop {
+    padding-bottom: 3.25rem; }
+  html.has-spaced-navbar-fixed-top,
+  body.has-spaced-navbar-fixed-top {
+    padding-top: 5.25rem; }
+  html.has-spaced-navbar-fixed-bottom,
+  body.has-spaced-navbar-fixed-bottom {
+    padding-bottom: 5.25rem; }
+  a.navbar-item.is-active,
+  .navbar-link.is-active {
+    color: #0a0a0a; }
+  a.navbar-item.is-active:not(:focus):not(:hover),
+  .navbar-link.is-active:not(:focus):not(:hover) {
+    background-color: transparent; }
+  .navbar-item.has-dropdown:focus .navbar-link, .navbar-item.has-dropdown:hover .navbar-link, .navbar-item.has-dropdown.is-active .navbar-link {
+    background-color: #fafafa; } }
+
+.hero.is-fullheight-with-navbar {
+  min-height: calc(100vh - 3.25rem); }
+
+.pagination {
+  font-size: 1rem;
+  margin: -0.25rem; }
+  .pagination.is-small, #documenter .docs-sidebar form.docs-search > input.pagination {
+    font-size: 0.75rem; }
+  .pagination.is-medium {
+    font-size: 1.25rem; }
+  .pagination.is-large {
+    font-size: 1.5rem; }
+  .pagination.is-rounded .pagination-previous, #documenter .docs-sidebar form.docs-search > input.pagination .pagination-previous,
+  .pagination.is-rounded .pagination-next,
+  #documenter .docs-sidebar form.docs-search > input.pagination .pagination-next {
+    padding-left: 1em;
+    padding-right: 1em;
+    border-radius: 290486px; }
+  .pagination.is-rounded .pagination-link, #documenter .docs-sidebar form.docs-search > input.pagination .pagination-link {
+    border-radius: 290486px; }
+
+.pagination,
+.pagination-list {
+  align-items: center;
+  display: flex;
+  justify-content: center;
+  text-align: center; }
+
+.pagination-previous,
+.pagination-next,
+.pagination-link,
+.pagination-ellipsis {
+  font-size: 1em;
+  justify-content: center;
+  margin: 0.25rem;
+  padding-left: 0.5em;
+  padding-right: 0.5em;
+  text-align: center; }
+
+.pagination-previous,
+.pagination-next,
+.pagination-link {
+  border-color: #dbdbdb;
+  color: #363636;
+  min-width: 2.25em; }
+  .pagination-previous:hover,
+  .pagination-next:hover,
+  .pagination-link:hover {
+    border-color: #b5b5b5;
+    color: #363636; }
+  .pagination-previous:focus,
+  .pagination-next:focus,
+  .pagination-link:focus {
+    border-color: #3c5dcd; }
+  .pagination-previous:active,
+  .pagination-next:active,
+  .pagination-link:active {
+    box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2); }
+  .pagination-previous[disabled],
+  .pagination-next[disabled],
+  .pagination-link[disabled] {
+    background-color: #dbdbdb;
+    border-color: #dbdbdb;
+    box-shadow: none;
+    color: #6b6b6b;
+    opacity: 0.5; }
+
+.pagination-previous,
+.pagination-next {
+  padding-left: 0.75em;
+  padding-right: 0.75em;
+  white-space: nowrap; }
+
+.pagination-link.is-current {
+  background-color: #2e63b8;
+  border-color: #2e63b8;
+  color: #fff; }
+
+.pagination-ellipsis {
+  color: #b5b5b5;
+  pointer-events: none; }
+
+.pagination-list {
+  flex-wrap: wrap; }
+
+@media screen and (max-width: 768px) {
+  .pagination {
+    flex-wrap: wrap; }
+  .pagination-previous,
+  .pagination-next {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .pagination-list li {
+    flex-grow: 1;
+    flex-shrink: 1; } }
+
+@media screen and (min-width: 769px), print {
+  .pagination-list {
+    flex-grow: 1;
+    flex-shrink: 1;
+    justify-content: flex-start;
+    order: 1; }
+  .pagination-previous {
+    order: 2; }
+  .pagination-next {
+    order: 3; }
+  .pagination {
+    justify-content: space-between; }
+    .pagination.is-centered .pagination-previous {
+      order: 1; }
+    .pagination.is-centered .pagination-list {
+      justify-content: center;
+      order: 2; }
+    .pagination.is-centered .pagination-next {
+      order: 3; }
+    .pagination.is-right .pagination-previous {
+      order: 1; }
+    .pagination.is-right .pagination-next {
+      order: 2; }
+    .pagination.is-right .pagination-list {
+      justify-content: flex-end;
+      order: 3; } }
+
+.panel {
+  font-size: 1rem; }
+  .panel:not(:last-child) {
+    margin-bottom: 1.5rem; }
+
+.panel-heading,
+.panel-tabs,
+.panel-block {
+  border-bottom: 1px solid #dbdbdb;
+  border-left: 1px solid #dbdbdb;
+  border-right: 1px solid #dbdbdb; }
+  .panel-heading:first-child,
+  .panel-tabs:first-child,
+  .panel-block:first-child {
+    border-top: 1px solid #dbdbdb; }
+
+.panel-heading {
+  background-color: whitesmoke;
+  border-radius: 4px 4px 0 0;
+  color: #222222;
+  font-size: 1.25em;
+  font-weight: 300;
+  line-height: 1.25;
+  padding: 0.5em 0.75em; }
+
+.panel-tabs {
+  align-items: flex-end;
+  display: flex;
+  font-size: 0.875em;
+  justify-content: center; }
+  .panel-tabs a {
+    border-bottom: 1px solid #dbdbdb;
+    margin-bottom: -1px;
+    padding: 0.5em; }
+    .panel-tabs a.is-active {
+      border-bottom-color: #4a4a4a;
+      color: #363636; }
+
+.panel-list a {
+  color: #222222; }
+  .panel-list a:hover {
+    color: #2e63b8; }
+
+.panel-block {
+  align-items: center;
+  color: #222222;
+  display: flex;
+  justify-content: flex-start;
+  padding: 0.5em 0.75em; }
+  .panel-block input[type="checkbox"] {
+    margin-right: 0.75em; }
+  .panel-block > .control {
+    flex-grow: 1;
+    flex-shrink: 1;
+    width: 100%; }
+  .panel-block.is-wrapped {
+    flex-wrap: wrap; }
+  .panel-block.is-active {
+    border-left-color: #2e63b8;
+    color: #363636; }
+    .panel-block.is-active .panel-icon {
+      color: #2e63b8; }
+
+a.panel-block,
+label.panel-block {
+  cursor: pointer; }
+  a.panel-block:hover,
+  label.panel-block:hover {
+    background-color: whitesmoke; }
+
+.panel-icon {
+  display: inline-block;
+  font-size: 14px;
+  height: 1em;
+  line-height: 1em;
+  text-align: center;
+  vertical-align: top;
+  width: 1em;
+  color: #6b6b6b;
+  margin-right: 0.75em; }
+  .panel-icon .fa {
+    font-size: inherit;
+    line-height: inherit; }
+
+.tabs {
+  -webkit-overflow-scrolling: touch;
+  align-items: stretch;
+  display: flex;
+  font-size: 1rem;
+  justify-content: space-between;
+  overflow: hidden;
+  overflow-x: auto;
+  white-space: nowrap; }
+  .tabs a {
+    align-items: center;
+    border-bottom-color: #dbdbdb;
+    border-bottom-style: solid;
+    border-bottom-width: 1px;
+    color: #222222;
+    display: flex;
+    justify-content: center;
+    margin-bottom: -1px;
+    padding: 0.5em 1em;
+    vertical-align: top; }
+    .tabs a:hover {
+      border-bottom-color: #222222;
+      color: #222222; }
+  .tabs li {
+    display: block; }
+    .tabs li.is-active a {
+      border-bottom-color: #2e63b8;
+      color: #2e63b8; }
+  .tabs ul {
+    align-items: center;
+    border-bottom-color: #dbdbdb;
+    border-bottom-style: solid;
+    border-bottom-width: 1px;
+    display: flex;
+    flex-grow: 1;
+    flex-shrink: 0;
+    justify-content: flex-start; }
+    .tabs ul.is-left {
+      padding-right: 0.75em; }
+    .tabs ul.is-center {
+      flex: none;
+      justify-content: center;
+      padding-left: 0.75em;
+      padding-right: 0.75em; }
+    .tabs ul.is-right {
+      justify-content: flex-end;
+      padding-left: 0.75em; }
+  .tabs .icon:first-child {
+    margin-right: 0.5em; }
+  .tabs .icon:last-child {
+    margin-left: 0.5em; }
+  .tabs.is-centered ul {
+    justify-content: center; }
+  .tabs.is-right ul {
+    justify-content: flex-end; }
+  .tabs.is-boxed a {
+    border: 1px solid transparent;
+    border-radius: 4px 4px 0 0; }
+    .tabs.is-boxed a:hover {
+      background-color: whitesmoke;
+      border-bottom-color: #dbdbdb; }
+  .tabs.is-boxed li.is-active a {
+    background-color: white;
+    border-color: #dbdbdb;
+    border-bottom-color: transparent !important; }
+  .tabs.is-fullwidth li {
+    flex-grow: 1;
+    flex-shrink: 0; }
+  .tabs.is-toggle a {
+    border-color: #dbdbdb;
+    border-style: solid;
+    border-width: 1px;
+    margin-bottom: 0;
+    position: relative; }
+    .tabs.is-toggle a:hover {
+      background-color: whitesmoke;
+      border-color: #b5b5b5;
+      z-index: 2; }
+  .tabs.is-toggle li + li {
+    margin-left: -1px; }
+  .tabs.is-toggle li:first-child a {
+    border-radius: 4px 0 0 4px; }
+  .tabs.is-toggle li:last-child a {
+    border-radius: 0 4px 4px 0; }
+  .tabs.is-toggle li.is-active a {
+    background-color: #2e63b8;
+    border-color: #2e63b8;
+    color: #fff;
+    z-index: 1; }
+  .tabs.is-toggle ul {
+    border-bottom: none; }
+  .tabs.is-toggle.is-toggle-rounded li:first-child a {
+    border-bottom-left-radius: 290486px;
+    border-top-left-radius: 290486px;
+    padding-left: 1.25em; }
+  .tabs.is-toggle.is-toggle-rounded li:last-child a {
+    border-bottom-right-radius: 290486px;
+    border-top-right-radius: 290486px;
+    padding-right: 1.25em; }
+  .tabs.is-small, #documenter .docs-sidebar form.docs-search > input.tabs {
+    font-size: 0.75rem; }
+  .tabs.is-medium {
+    font-size: 1.25rem; }
+  .tabs.is-large {
+    font-size: 1.5rem; }
+
+.column {
+  display: block;
+  flex-basis: 0;
+  flex-grow: 1;
+  flex-shrink: 1;
+  padding: 0.75rem; }
+  .columns.is-mobile > .column.is-narrow {
+    flex: none; }
+  .columns.is-mobile > .column.is-full {
+    flex: none;
+    width: 100%; }
+  .columns.is-mobile > .column.is-three-quarters {
+    flex: none;
+    width: 75%; }
+  .columns.is-mobile > .column.is-two-thirds {
+    flex: none;
+    width: 66.6666%; }
+  .columns.is-mobile > .column.is-half {
+    flex: none;
+    width: 50%; }
+  .columns.is-mobile > .column.is-one-third {
+    flex: none;
+    width: 33.3333%; }
+  .columns.is-mobile > .column.is-one-quarter {
+    flex: none;
+    width: 25%; }
+  .columns.is-mobile > .column.is-one-fifth {
+    flex: none;
+    width: 20%; }
+  .columns.is-mobile > .column.is-two-fifths {
+    flex: none;
+    width: 40%; }
+  .columns.is-mobile > .column.is-three-fifths {
+    flex: none;
+    width: 60%; }
+  .columns.is-mobile > .column.is-four-fifths {
+    flex: none;
+    width: 80%; }
+  .columns.is-mobile > .column.is-offset-three-quarters {
+    margin-left: 75%; }
+  .columns.is-mobile > .column.is-offset-two-thirds {
+    margin-left: 66.6666%; }
+  .columns.is-mobile > .column.is-offset-half {
+    margin-left: 50%; }
+  .columns.is-mobile > .column.is-offset-one-third {
+    margin-left: 33.3333%; }
+  .columns.is-mobile > .column.is-offset-one-quarter {
+    margin-left: 25%; }
+  .columns.is-mobile > .column.is-offset-one-fifth {
+    margin-left: 20%; }
+  .columns.is-mobile > .column.is-offset-two-fifths {
+    margin-left: 40%; }
+  .columns.is-mobile > .column.is-offset-three-fifths {
+    margin-left: 60%; }
+  .columns.is-mobile > .column.is-offset-four-fifths {
+    margin-left: 80%; }
+  .columns.is-mobile > .column.is-0 {
+    flex: none;
+    width: 0%; }
+  .columns.is-mobile > .column.is-offset-0 {
+    margin-left: 0%; }
+  .columns.is-mobile > .column.is-1 {
+    flex: none;
+    width: 8.3333333333%; }
+  .columns.is-mobile > .column.is-offset-1 {
+    margin-left: 8.3333333333%; }
+  .columns.is-mobile > .column.is-2 {
+    flex: none;
+    width: 16.6666666667%; }
+  .columns.is-mobile > .column.is-offset-2 {
+    margin-left: 16.6666666667%; }
+  .columns.is-mobile > .column.is-3 {
+    flex: none;
+    width: 25%; }
+  .columns.is-mobile > .column.is-offset-3 {
+    margin-left: 25%; }
+  .columns.is-mobile > .column.is-4 {
+    flex: none;
+    width: 33.3333333333%; }
+  .columns.is-mobile > .column.is-offset-4 {
+    margin-left: 33.3333333333%; }
+  .columns.is-mobile > .column.is-5 {
+    flex: none;
+    width: 41.6666666667%; }
+  .columns.is-mobile > .column.is-offset-5 {
+    margin-left: 41.6666666667%; }
+  .columns.is-mobile > .column.is-6 {
+    flex: none;
+    width: 50%; }
+  .columns.is-mobile > .column.is-offset-6 {
+    margin-left: 50%; }
+  .columns.is-mobile > .column.is-7 {
+    flex: none;
+    width: 58.3333333333%; }
+  .columns.is-mobile > .column.is-offset-7 {
+    margin-left: 58.3333333333%; }
+  .columns.is-mobile > .column.is-8 {
+    flex: none;
+    width: 66.6666666667%; }
+  .columns.is-mobile > .column.is-offset-8 {
+    margin-left: 66.6666666667%; }
+  .columns.is-mobile > .column.is-9 {
+    flex: none;
+    width: 75%; }
+  .columns.is-mobile > .column.is-offset-9 {
+    margin-left: 75%; }
+  .columns.is-mobile > .column.is-10 {
+    flex: none;
+    width: 83.3333333333%; }
+  .columns.is-mobile > .column.is-offset-10 {
+    margin-left: 83.3333333333%; }
+  .columns.is-mobile > .column.is-11 {
+    flex: none;
+    width: 91.6666666667%; }
+  .columns.is-mobile > .column.is-offset-11 {
+    margin-left: 91.6666666667%; }
+  .columns.is-mobile > .column.is-12 {
+    flex: none;
+    width: 100%; }
+  .columns.is-mobile > .column.is-offset-12 {
+    margin-left: 100%; }
+  @media screen and (max-width: 768px) {
+    .column.is-narrow-mobile {
+      flex: none; }
+    .column.is-full-mobile {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-mobile {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-mobile {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-mobile {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-mobile {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-mobile {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-mobile {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-mobile {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-mobile {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-mobile {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-mobile {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-mobile {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-mobile {
+      margin-left: 50%; }
+    .column.is-offset-one-third-mobile {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-mobile {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-mobile {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-mobile {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-mobile {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-mobile {
+      margin-left: 80%; }
+    .column.is-0-mobile {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-mobile {
+      margin-left: 0%; }
+    .column.is-1-mobile {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-mobile {
+      margin-left: 8.3333333333%; }
+    .column.is-2-mobile {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-mobile {
+      margin-left: 16.6666666667%; }
+    .column.is-3-mobile {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-mobile {
+      margin-left: 25%; }
+    .column.is-4-mobile {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-mobile {
+      margin-left: 33.3333333333%; }
+    .column.is-5-mobile {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-mobile {
+      margin-left: 41.6666666667%; }
+    .column.is-6-mobile {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-mobile {
+      margin-left: 50%; }
+    .column.is-7-mobile {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-mobile {
+      margin-left: 58.3333333333%; }
+    .column.is-8-mobile {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-mobile {
+      margin-left: 66.6666666667%; }
+    .column.is-9-mobile {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-mobile {
+      margin-left: 75%; }
+    .column.is-10-mobile {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-mobile {
+      margin-left: 83.3333333333%; }
+    .column.is-11-mobile {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-mobile {
+      margin-left: 91.6666666667%; }
+    .column.is-12-mobile {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-mobile {
+      margin-left: 100%; } }
+  @media screen and (min-width: 769px), print {
+    .column.is-narrow, .column.is-narrow-tablet {
+      flex: none; }
+    .column.is-full, .column.is-full-tablet {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters, .column.is-three-quarters-tablet {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds, .column.is-two-thirds-tablet {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half, .column.is-half-tablet {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third, .column.is-one-third-tablet {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter, .column.is-one-quarter-tablet {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth, .column.is-one-fifth-tablet {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths, .column.is-two-fifths-tablet {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths, .column.is-three-fifths-tablet {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths, .column.is-four-fifths-tablet {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters, .column.is-offset-three-quarters-tablet {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds, .column.is-offset-two-thirds-tablet {
+      margin-left: 66.6666%; }
+    .column.is-offset-half, .column.is-offset-half-tablet {
+      margin-left: 50%; }
+    .column.is-offset-one-third, .column.is-offset-one-third-tablet {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter, .column.is-offset-one-quarter-tablet {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth, .column.is-offset-one-fifth-tablet {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths, .column.is-offset-two-fifths-tablet {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths, .column.is-offset-three-fifths-tablet {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths, .column.is-offset-four-fifths-tablet {
+      margin-left: 80%; }
+    .column.is-0, .column.is-0-tablet {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0, .column.is-offset-0-tablet {
+      margin-left: 0%; }
+    .column.is-1, .column.is-1-tablet {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1, .column.is-offset-1-tablet {
+      margin-left: 8.3333333333%; }
+    .column.is-2, .column.is-2-tablet {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2, .column.is-offset-2-tablet {
+      margin-left: 16.6666666667%; }
+    .column.is-3, .column.is-3-tablet {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3, .column.is-offset-3-tablet {
+      margin-left: 25%; }
+    .column.is-4, .column.is-4-tablet {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4, .column.is-offset-4-tablet {
+      margin-left: 33.3333333333%; }
+    .column.is-5, .column.is-5-tablet {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5, .column.is-offset-5-tablet {
+      margin-left: 41.6666666667%; }
+    .column.is-6, .column.is-6-tablet {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6, .column.is-offset-6-tablet {
+      margin-left: 50%; }
+    .column.is-7, .column.is-7-tablet {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7, .column.is-offset-7-tablet {
+      margin-left: 58.3333333333%; }
+    .column.is-8, .column.is-8-tablet {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8, .column.is-offset-8-tablet {
+      margin-left: 66.6666666667%; }
+    .column.is-9, .column.is-9-tablet {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9, .column.is-offset-9-tablet {
+      margin-left: 75%; }
+    .column.is-10, .column.is-10-tablet {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10, .column.is-offset-10-tablet {
+      margin-left: 83.3333333333%; }
+    .column.is-11, .column.is-11-tablet {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11, .column.is-offset-11-tablet {
+      margin-left: 91.6666666667%; }
+    .column.is-12, .column.is-12-tablet {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12, .column.is-offset-12-tablet {
+      margin-left: 100%; } }
+  @media screen and (max-width: 1055px) {
+    .column.is-narrow-touch {
+      flex: none; }
+    .column.is-full-touch {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-touch {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-touch {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-touch {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-touch {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-touch {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-touch {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-touch {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-touch {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-touch {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-touch {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-touch {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-touch {
+      margin-left: 50%; }
+    .column.is-offset-one-third-touch {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-touch {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-touch {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-touch {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-touch {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-touch {
+      margin-left: 80%; }
+    .column.is-0-touch {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-touch {
+      margin-left: 0%; }
+    .column.is-1-touch {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-touch {
+      margin-left: 8.3333333333%; }
+    .column.is-2-touch {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-touch {
+      margin-left: 16.6666666667%; }
+    .column.is-3-touch {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-touch {
+      margin-left: 25%; }
+    .column.is-4-touch {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-touch {
+      margin-left: 33.3333333333%; }
+    .column.is-5-touch {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-touch {
+      margin-left: 41.6666666667%; }
+    .column.is-6-touch {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-touch {
+      margin-left: 50%; }
+    .column.is-7-touch {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-touch {
+      margin-left: 58.3333333333%; }
+    .column.is-8-touch {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-touch {
+      margin-left: 66.6666666667%; }
+    .column.is-9-touch {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-touch {
+      margin-left: 75%; }
+    .column.is-10-touch {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-touch {
+      margin-left: 83.3333333333%; }
+    .column.is-11-touch {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-touch {
+      margin-left: 91.6666666667%; }
+    .column.is-12-touch {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-touch {
+      margin-left: 100%; } }
+  @media screen and (min-width: 1056px) {
+    .column.is-narrow-desktop {
+      flex: none; }
+    .column.is-full-desktop {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-desktop {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-desktop {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-desktop {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-desktop {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-desktop {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-desktop {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-desktop {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-desktop {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-desktop {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-desktop {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-desktop {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-desktop {
+      margin-left: 50%; }
+    .column.is-offset-one-third-desktop {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-desktop {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-desktop {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-desktop {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-desktop {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-desktop {
+      margin-left: 80%; }
+    .column.is-0-desktop {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-desktop {
+      margin-left: 0%; }
+    .column.is-1-desktop {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-desktop {
+      margin-left: 8.3333333333%; }
+    .column.is-2-desktop {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-desktop {
+      margin-left: 16.6666666667%; }
+    .column.is-3-desktop {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-desktop {
+      margin-left: 25%; }
+    .column.is-4-desktop {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-desktop {
+      margin-left: 33.3333333333%; }
+    .column.is-5-desktop {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-desktop {
+      margin-left: 41.6666666667%; }
+    .column.is-6-desktop {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-desktop {
+      margin-left: 50%; }
+    .column.is-7-desktop {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-desktop {
+      margin-left: 58.3333333333%; }
+    .column.is-8-desktop {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-desktop {
+      margin-left: 66.6666666667%; }
+    .column.is-9-desktop {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-desktop {
+      margin-left: 75%; }
+    .column.is-10-desktop {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-desktop {
+      margin-left: 83.3333333333%; }
+    .column.is-11-desktop {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-desktop {
+      margin-left: 91.6666666667%; }
+    .column.is-12-desktop {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-desktop {
+      margin-left: 100%; } }
+  @media screen and (min-width: 1216px) {
+    .column.is-narrow-widescreen {
+      flex: none; }
+    .column.is-full-widescreen {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-widescreen {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-widescreen {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-widescreen {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-widescreen {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-widescreen {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-widescreen {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-widescreen {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-widescreen {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-widescreen {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-widescreen {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-widescreen {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-widescreen {
+      margin-left: 50%; }
+    .column.is-offset-one-third-widescreen {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-widescreen {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-widescreen {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-widescreen {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-widescreen {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-widescreen {
+      margin-left: 80%; }
+    .column.is-0-widescreen {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-widescreen {
+      margin-left: 0%; }
+    .column.is-1-widescreen {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-widescreen {
+      margin-left: 8.3333333333%; }
+    .column.is-2-widescreen {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-widescreen {
+      margin-left: 16.6666666667%; }
+    .column.is-3-widescreen {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-widescreen {
+      margin-left: 25%; }
+    .column.is-4-widescreen {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-widescreen {
+      margin-left: 33.3333333333%; }
+    .column.is-5-widescreen {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-widescreen {
+      margin-left: 41.6666666667%; }
+    .column.is-6-widescreen {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-widescreen {
+      margin-left: 50%; }
+    .column.is-7-widescreen {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-widescreen {
+      margin-left: 58.3333333333%; }
+    .column.is-8-widescreen {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-widescreen {
+      margin-left: 66.6666666667%; }
+    .column.is-9-widescreen {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-widescreen {
+      margin-left: 75%; }
+    .column.is-10-widescreen {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-widescreen {
+      margin-left: 83.3333333333%; }
+    .column.is-11-widescreen {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-widescreen {
+      margin-left: 91.6666666667%; }
+    .column.is-12-widescreen {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-widescreen {
+      margin-left: 100%; } }
+  @media screen and (min-width: 1408px) {
+    .column.is-narrow-fullhd {
+      flex: none; }
+    .column.is-full-fullhd {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-fullhd {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-fullhd {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-fullhd {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-fullhd {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-fullhd {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-fullhd {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-fullhd {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-fullhd {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-fullhd {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-fullhd {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-fullhd {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-fullhd {
+      margin-left: 50%; }
+    .column.is-offset-one-third-fullhd {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-fullhd {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-fullhd {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-fullhd {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-fullhd {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-fullhd {
+      margin-left: 80%; }
+    .column.is-0-fullhd {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-fullhd {
+      margin-left: 0%; }
+    .column.is-1-fullhd {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-fullhd {
+      margin-left: 8.3333333333%; }
+    .column.is-2-fullhd {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-fullhd {
+      margin-left: 16.6666666667%; }
+    .column.is-3-fullhd {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-fullhd {
+      margin-left: 25%; }
+    .column.is-4-fullhd {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-fullhd {
+      margin-left: 33.3333333333%; }
+    .column.is-5-fullhd {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-fullhd {
+      margin-left: 41.6666666667%; }
+    .column.is-6-fullhd {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-fullhd {
+      margin-left: 50%; }
+    .column.is-7-fullhd {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-fullhd {
+      margin-left: 58.3333333333%; }
+    .column.is-8-fullhd {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-fullhd {
+      margin-left: 66.6666666667%; }
+    .column.is-9-fullhd {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-fullhd {
+      margin-left: 75%; }
+    .column.is-10-fullhd {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-fullhd {
+      margin-left: 83.3333333333%; }
+    .column.is-11-fullhd {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-fullhd {
+      margin-left: 91.6666666667%; }
+    .column.is-12-fullhd {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-fullhd {
+      margin-left: 100%; } }
+.columns {
+  margin-left: -0.75rem;
+  margin-right: -0.75rem;
+  margin-top: -0.75rem; }
+  .columns:last-child {
+    margin-bottom: -0.75rem; }
+  .columns:not(:last-child) {
+    margin-bottom: calc(1.5rem - 0.75rem); }
+  .columns.is-centered {
+    justify-content: center; }
+  .columns.is-gapless {
+    margin-left: 0;
+    margin-right: 0;
+    margin-top: 0; }
+    .columns.is-gapless > .column {
+      margin: 0;
+      padding: 0 !important; }
+    .columns.is-gapless:not(:last-child) {
+      margin-bottom: 1.5rem; }
+    .columns.is-gapless:last-child {
+      margin-bottom: 0; }
+  .columns.is-mobile {
+    display: flex; }
+  .columns.is-multiline {
+    flex-wrap: wrap; }
+  .columns.is-vcentered {
+    align-items: center; }
+  @media screen and (min-width: 769px), print {
+    .columns:not(.is-desktop) {
+      display: flex; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-desktop {
+      display: flex; } }
+.columns.is-variable {
+  --columnGap: 0.75rem;
+  margin-left: calc(-1 * var(--columnGap));
+  margin-right: calc(-1 * var(--columnGap)); }
+  .columns.is-variable .column {
+    padding-left: var(--columnGap);
+    padding-right: var(--columnGap); }
+  .columns.is-variable.is-0 {
+    --columnGap: 0rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-0-mobile {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-0-tablet {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-0-tablet-only {
+      --columnGap: 0rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-0-touch {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-0-desktop {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-0-desktop-only {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-0-widescreen {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-0-widescreen-only {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-0-fullhd {
+      --columnGap: 0rem; } }
+  .columns.is-variable.is-1 {
+    --columnGap: 0.25rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-1-mobile {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-1-tablet {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-1-tablet-only {
+      --columnGap: 0.25rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-1-touch {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-1-desktop {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-1-desktop-only {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-1-widescreen {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-1-widescreen-only {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-1-fullhd {
+      --columnGap: 0.25rem; } }
+  .columns.is-variable.is-2 {
+    --columnGap: 0.5rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-2-mobile {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-2-tablet {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-2-tablet-only {
+      --columnGap: 0.5rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-2-touch {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-2-desktop {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-2-desktop-only {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-2-widescreen {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-2-widescreen-only {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-2-fullhd {
+      --columnGap: 0.5rem; } }
+  .columns.is-variable.is-3 {
+    --columnGap: 0.75rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-3-mobile {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-3-tablet {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-3-tablet-only {
+      --columnGap: 0.75rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-3-touch {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-3-desktop {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-3-desktop-only {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-3-widescreen {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-3-widescreen-only {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-3-fullhd {
+      --columnGap: 0.75rem; } }
+  .columns.is-variable.is-4 {
+    --columnGap: 1rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-4-mobile {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-4-tablet {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-4-tablet-only {
+      --columnGap: 1rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-4-touch {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-4-desktop {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-4-desktop-only {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-4-widescreen {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-4-widescreen-only {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-4-fullhd {
+      --columnGap: 1rem; } }
+  .columns.is-variable.is-5 {
+    --columnGap: 1.25rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-5-mobile {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-5-tablet {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-5-tablet-only {
+      --columnGap: 1.25rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-5-touch {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-5-desktop {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-5-desktop-only {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-5-widescreen {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-5-widescreen-only {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-5-fullhd {
+      --columnGap: 1.25rem; } }
+  .columns.is-variable.is-6 {
+    --columnGap: 1.5rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-6-mobile {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-6-tablet {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-6-tablet-only {
+      --columnGap: 1.5rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-6-touch {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-6-desktop {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-6-desktop-only {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-6-widescreen {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-6-widescreen-only {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-6-fullhd {
+      --columnGap: 1.5rem; } }
+  .columns.is-variable.is-7 {
+    --columnGap: 1.75rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-7-mobile {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-7-tablet {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-7-tablet-only {
+      --columnGap: 1.75rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-7-touch {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-7-desktop {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-7-desktop-only {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-7-widescreen {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-7-widescreen-only {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-7-fullhd {
+      --columnGap: 1.75rem; } }
+  .columns.is-variable.is-8 {
+    --columnGap: 2rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-8-mobile {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-8-tablet {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-8-tablet-only {
+      --columnGap: 2rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-8-touch {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-8-desktop {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-8-desktop-only {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-8-widescreen {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-8-widescreen-only {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-8-fullhd {
+      --columnGap: 2rem; } }
+.tile {
+  align-items: stretch;
+  display: block;
+  flex-basis: 0;
+  flex-grow: 1;
+  flex-shrink: 1;
+  min-height: min-content; }
+  .tile.is-ancestor {
+    margin-left: -0.75rem;
+    margin-right: -0.75rem;
+    margin-top: -0.75rem; }
+    .tile.is-ancestor:last-child {
+      margin-bottom: -0.75rem; }
+    .tile.is-ancestor:not(:last-child) {
+      margin-bottom: 0.75rem; }
+  .tile.is-child {
+    margin: 0 !important; }
+  .tile.is-parent {
+    padding: 0.75rem; }
+  .tile.is-vertical {
+    flex-direction: column; }
+    .tile.is-vertical > .tile.is-child:not(:last-child) {
+      margin-bottom: 1.5rem !important; }
+  @media screen and (min-width: 769px), print {
+    .tile:not(.is-child) {
+      display: flex; }
+    .tile.is-1 {
+      flex: none;
+      width: 8.3333333333%; }
+    .tile.is-2 {
+      flex: none;
+      width: 16.6666666667%; }
+    .tile.is-3 {
+      flex: none;
+      width: 25%; }
+    .tile.is-4 {
+      flex: none;
+      width: 33.3333333333%; }
+    .tile.is-5 {
+      flex: none;
+      width: 41.6666666667%; }
+    .tile.is-6 {
+      flex: none;
+      width: 50%; }
+    .tile.is-7 {
+      flex: none;
+      width: 58.3333333333%; }
+    .tile.is-8 {
+      flex: none;
+      width: 66.6666666667%; }
+    .tile.is-9 {
+      flex: none;
+      width: 75%; }
+    .tile.is-10 {
+      flex: none;
+      width: 83.3333333333%; }
+    .tile.is-11 {
+      flex: none;
+      width: 91.6666666667%; }
+    .tile.is-12 {
+      flex: none;
+      width: 100%; } }
+.hero {
+  align-items: stretch;
+  display: flex;
+  flex-direction: column;
+  justify-content: space-between; }
+  .hero .navbar {
+    background: none; }
+  .hero .tabs ul {
+    border-bottom: none; }
+  .hero.is-white {
+    background-color: white;
+    color: #0a0a0a; }
+    .hero.is-white a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-white strong {
+      color: inherit; }
+    .hero.is-white .title {
+      color: #0a0a0a; }
+    .hero.is-white .subtitle {
+      color: rgba(10, 10, 10, 0.9); }
+      .hero.is-white .subtitle a:not(.button),
+      .hero.is-white .subtitle strong {
+        color: #0a0a0a; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-white .navbar-menu {
+        background-color: white; } }
+    .hero.is-white .navbar-item,
+    .hero.is-white .navbar-link {
+      color: rgba(10, 10, 10, 0.7); }
+    .hero.is-white a.navbar-item:hover, .hero.is-white a.navbar-item.is-active,
+    .hero.is-white .navbar-link:hover,
+    .hero.is-white .navbar-link.is-active {
+      background-color: #f2f2f2;
+      color: #0a0a0a; }
+    .hero.is-white .tabs a {
+      color: #0a0a0a;
+      opacity: 0.9; }
+      .hero.is-white .tabs a:hover {
+        opacity: 1; }
+    .hero.is-white .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-white .tabs.is-boxed a, .hero.is-white .tabs.is-toggle a {
+      color: #0a0a0a; }
+      .hero.is-white .tabs.is-boxed a:hover, .hero.is-white .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-white .tabs.is-boxed li.is-active a, .hero.is-white .tabs.is-boxed li.is-active a:hover, .hero.is-white .tabs.is-toggle li.is-active a, .hero.is-white .tabs.is-toggle li.is-active a:hover {
+      background-color: #0a0a0a;
+      border-color: #0a0a0a;
+      color: white; }
+    .hero.is-white.is-bold {
+      background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-white.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); } }
+  .hero.is-black {
+    background-color: #0a0a0a;
+    color: white; }
+    .hero.is-black a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-black strong {
+      color: inherit; }
+    .hero.is-black .title {
+      color: white; }
+    .hero.is-black .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-black .subtitle a:not(.button),
+      .hero.is-black .subtitle strong {
+        color: white; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-black .navbar-menu {
+        background-color: #0a0a0a; } }
+    .hero.is-black .navbar-item,
+    .hero.is-black .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-black a.navbar-item:hover, .hero.is-black a.navbar-item.is-active,
+    .hero.is-black .navbar-link:hover,
+    .hero.is-black .navbar-link.is-active {
+      background-color: black;
+      color: white; }
+    .hero.is-black .tabs a {
+      color: white;
+      opacity: 0.9; }
+      .hero.is-black .tabs a:hover {
+        opacity: 1; }
+    .hero.is-black .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-black .tabs.is-boxed a, .hero.is-black .tabs.is-toggle a {
+      color: white; }
+      .hero.is-black .tabs.is-boxed a:hover, .hero.is-black .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-black .tabs.is-boxed li.is-active a, .hero.is-black .tabs.is-boxed li.is-active a:hover, .hero.is-black .tabs.is-toggle li.is-active a, .hero.is-black .tabs.is-toggle li.is-active a:hover {
+      background-color: white;
+      border-color: white;
+      color: #0a0a0a; }
+    .hero.is-black.is-bold {
+      background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-black.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } }
+  .hero.is-light {
+    background-color: whitesmoke;
+    color: #363636; }
+    .hero.is-light a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-light strong {
+      color: inherit; }
+    .hero.is-light .title {
+      color: #363636; }
+    .hero.is-light .subtitle {
+      color: rgba(54, 54, 54, 0.9); }
+      .hero.is-light .subtitle a:not(.button),
+      .hero.is-light .subtitle strong {
+        color: #363636; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-light .navbar-menu {
+        background-color: whitesmoke; } }
+    .hero.is-light .navbar-item,
+    .hero.is-light .navbar-link {
+      color: rgba(54, 54, 54, 0.7); }
+    .hero.is-light a.navbar-item:hover, .hero.is-light a.navbar-item.is-active,
+    .hero.is-light .navbar-link:hover,
+    .hero.is-light .navbar-link.is-active {
+      background-color: #e8e8e8;
+      color: #363636; }
+    .hero.is-light .tabs a {
+      color: #363636;
+      opacity: 0.9; }
+      .hero.is-light .tabs a:hover {
+        opacity: 1; }
+    .hero.is-light .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-light .tabs.is-boxed a, .hero.is-light .tabs.is-toggle a {
+      color: #363636; }
+      .hero.is-light .tabs.is-boxed a:hover, .hero.is-light .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-light .tabs.is-boxed li.is-active a, .hero.is-light .tabs.is-boxed li.is-active a:hover, .hero.is-light .tabs.is-toggle li.is-active a, .hero.is-light .tabs.is-toggle li.is-active a:hover {
+      background-color: #363636;
+      border-color: #363636;
+      color: whitesmoke; }
+    .hero.is-light.is-bold {
+      background-image: linear-gradient(141deg, #dfd8d9 0%, whitesmoke 71%, white 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-light.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #dfd8d9 0%, whitesmoke 71%, white 100%); } }
+  .hero.is-dark, .content kbd.hero {
+    background-color: #363636;
+    color: whitesmoke; }
+    .hero.is-dark a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), .content kbd.hero a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-dark strong,
+    .content kbd.hero strong {
+      color: inherit; }
+    .hero.is-dark .title, .content kbd.hero .title {
+      color: whitesmoke; }
+    .hero.is-dark .subtitle, .content kbd.hero .subtitle {
+      color: rgba(245, 245, 245, 0.9); }
+      .hero.is-dark .subtitle a:not(.button), .content kbd.hero .subtitle a:not(.button),
+      .hero.is-dark .subtitle strong,
+      .content kbd.hero .subtitle strong {
+        color: whitesmoke; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-dark .navbar-menu, .content kbd.hero .navbar-menu {
+        background-color: #363636; } }
+    .hero.is-dark .navbar-item, .content kbd.hero .navbar-item,
+    .hero.is-dark .navbar-link,
+    .content kbd.hero .navbar-link {
+      color: rgba(245, 245, 245, 0.7); }
+    .hero.is-dark a.navbar-item:hover, .content kbd.hero a.navbar-item:hover, .hero.is-dark a.navbar-item.is-active, .content kbd.hero a.navbar-item.is-active,
+    .hero.is-dark .navbar-link:hover,
+    .content kbd.hero .navbar-link:hover,
+    .hero.is-dark .navbar-link.is-active,
+    .content kbd.hero .navbar-link.is-active {
+      background-color: #292929;
+      color: whitesmoke; }
+    .hero.is-dark .tabs a, .content kbd.hero .tabs a {
+      color: whitesmoke;
+      opacity: 0.9; }
+      .hero.is-dark .tabs a:hover, .content kbd.hero .tabs a:hover {
+        opacity: 1; }
+    .hero.is-dark .tabs li.is-active a, .content kbd.hero .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-dark .tabs.is-boxed a, .content kbd.hero .tabs.is-boxed a, .hero.is-dark .tabs.is-toggle a, .content kbd.hero .tabs.is-toggle a {
+      color: whitesmoke; }
+      .hero.is-dark .tabs.is-boxed a:hover, .content kbd.hero .tabs.is-boxed a:hover, .hero.is-dark .tabs.is-toggle a:hover, .content kbd.hero .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-dark .tabs.is-boxed li.is-active a, .content kbd.hero .tabs.is-boxed li.is-active a, .hero.is-dark .tabs.is-boxed li.is-active a:hover, .hero.is-dark .tabs.is-toggle li.is-active a, .content kbd.hero .tabs.is-toggle li.is-active a, .hero.is-dark .tabs.is-toggle li.is-active a:hover {
+      background-color: whitesmoke;
+      border-color: whitesmoke;
+      color: #363636; }
+    .hero.is-dark.is-bold, .content kbd.hero.is-bold {
+      background-image: linear-gradient(141deg, #1f191a 0%, #363636 71%, #46403f 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-dark.is-bold .navbar-menu, .content kbd.hero.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #1f191a 0%, #363636 71%, #46403f 100%); } }
+  .hero.is-primary, .docstring > section > a.hero.docs-sourcelink {
+    background-color: #4eb5de;
+    color: #fff; }
+    .hero.is-primary a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), .docstring > section > a.hero.docs-sourcelink a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-primary strong,
+    .docstring > section > a.hero.docs-sourcelink strong {
+      color: inherit; }
+    .hero.is-primary .title, .docstring > section > a.hero.docs-sourcelink .title {
+      color: #fff; }
+    .hero.is-primary .subtitle, .docstring > section > a.hero.docs-sourcelink .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-primary .subtitle a:not(.button), .docstring > section > a.hero.docs-sourcelink .subtitle a:not(.button),
+      .hero.is-primary .subtitle strong,
+      .docstring > section > a.hero.docs-sourcelink .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-primary .navbar-menu, .docstring > section > a.hero.docs-sourcelink .navbar-menu {
+        background-color: #4eb5de; } }
+    .hero.is-primary .navbar-item, .docstring > section > a.hero.docs-sourcelink .navbar-item,
+    .hero.is-primary .navbar-link,
+    .docstring > section > a.hero.docs-sourcelink .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-primary a.navbar-item:hover, .docstring > section > a.hero.docs-sourcelink a.navbar-item:hover, .hero.is-primary a.navbar-item.is-active, .docstring > section > a.hero.docs-sourcelink a.navbar-item.is-active,
+    .hero.is-primary .navbar-link:hover,
+    .docstring > section > a.hero.docs-sourcelink .navbar-link:hover,
+    .hero.is-primary .navbar-link.is-active,
+    .docstring > section > a.hero.docs-sourcelink .navbar-link.is-active {
+      background-color: #39acda;
+      color: #fff; }
+    .hero.is-primary .tabs a, .docstring > section > a.hero.docs-sourcelink .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-primary .tabs a:hover, .docstring > section > a.hero.docs-sourcelink .tabs a:hover {
+        opacity: 1; }
+    .hero.is-primary .tabs li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-primary .tabs.is-boxed a, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a, .hero.is-primary .tabs.is-toggle a, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-primary .tabs.is-boxed a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a:hover, .hero.is-primary .tabs.is-toggle a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-primary .tabs.is-boxed li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a, .hero.is-primary .tabs.is-boxed li.is-active a:hover, .hero.is-primary .tabs.is-toggle li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a, .hero.is-primary .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #4eb5de; }
+    .hero.is-primary.is-bold, .docstring > section > a.hero.is-bold.docs-sourcelink {
+      background-image: linear-gradient(141deg, #1bc7de 0%, #4eb5de 71%, #5fa9e7 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-primary.is-bold .navbar-menu, .docstring > section > a.hero.is-bold.docs-sourcelink .navbar-menu {
+          background-image: linear-gradient(141deg, #1bc7de 0%, #4eb5de 71%, #5fa9e7 100%); } }
+  .hero.is-link {
+    background-color: #2e63b8;
+    color: #fff; }
+    .hero.is-link a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-link strong {
+      color: inherit; }
+    .hero.is-link .title {
+      color: #fff; }
+    .hero.is-link .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-link .subtitle a:not(.button),
+      .hero.is-link .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-link .navbar-menu {
+        background-color: #2e63b8; } }
+    .hero.is-link .navbar-item,
+    .hero.is-link .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-link a.navbar-item:hover, .hero.is-link a.navbar-item.is-active,
+    .hero.is-link .navbar-link:hover,
+    .hero.is-link .navbar-link.is-active {
+      background-color: #2958a4;
+      color: #fff; }
+    .hero.is-link .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-link .tabs a:hover {
+        opacity: 1; }
+    .hero.is-link .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-link .tabs.is-boxed a, .hero.is-link .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-link .tabs.is-boxed a:hover, .hero.is-link .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-link .tabs.is-boxed li.is-active a, .hero.is-link .tabs.is-boxed li.is-active a:hover, .hero.is-link .tabs.is-toggle li.is-active a, .hero.is-link .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #2e63b8; }
+    .hero.is-link.is-bold {
+      background-image: linear-gradient(141deg, #1b6098 0%, #2e63b8 71%, #2d51d2 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-link.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #1b6098 0%, #2e63b8 71%, #2d51d2 100%); } }
+  .hero.is-info {
+    background-color: #209cee;
+    color: #fff; }
+    .hero.is-info a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-info strong {
+      color: inherit; }
+    .hero.is-info .title {
+      color: #fff; }
+    .hero.is-info .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-info .subtitle a:not(.button),
+      .hero.is-info .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-info .navbar-menu {
+        background-color: #209cee; } }
+    .hero.is-info .navbar-item,
+    .hero.is-info .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-info a.navbar-item:hover, .hero.is-info a.navbar-item.is-active,
+    .hero.is-info .navbar-link:hover,
+    .hero.is-info .navbar-link.is-active {
+      background-color: #1190e3;
+      color: #fff; }
+    .hero.is-info .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-info .tabs a:hover {
+        opacity: 1; }
+    .hero.is-info .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-info .tabs.is-boxed a, .hero.is-info .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-info .tabs.is-boxed a:hover, .hero.is-info .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-info .tabs.is-boxed li.is-active a, .hero.is-info .tabs.is-boxed li.is-active a:hover, .hero.is-info .tabs.is-toggle li.is-active a, .hero.is-info .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #209cee; }
+    .hero.is-info.is-bold {
+      background-image: linear-gradient(141deg, #05a6d6 0%, #209cee 71%, #3287f5 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-info.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #05a6d6 0%, #209cee 71%, #3287f5 100%); } }
+  .hero.is-success {
+    background-color: #22c35b;
+    color: #fff; }
+    .hero.is-success a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-success strong {
+      color: inherit; }
+    .hero.is-success .title {
+      color: #fff; }
+    .hero.is-success .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-success .subtitle a:not(.button),
+      .hero.is-success .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-success .navbar-menu {
+        background-color: #22c35b; } }
+    .hero.is-success .navbar-item,
+    .hero.is-success .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-success a.navbar-item:hover, .hero.is-success a.navbar-item.is-active,
+    .hero.is-success .navbar-link:hover,
+    .hero.is-success .navbar-link.is-active {
+      background-color: #1ead51;
+      color: #fff; }
+    .hero.is-success .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-success .tabs a:hover {
+        opacity: 1; }
+    .hero.is-success .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-success .tabs.is-boxed a, .hero.is-success .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-success .tabs.is-boxed a:hover, .hero.is-success .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-success .tabs.is-boxed li.is-active a, .hero.is-success .tabs.is-boxed li.is-active a:hover, .hero.is-success .tabs.is-toggle li.is-active a, .hero.is-success .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #22c35b; }
+    .hero.is-success.is-bold {
+      background-image: linear-gradient(141deg, #12a02c 0%, #22c35b 71%, #1fdf83 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-success.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #12a02c 0%, #22c35b 71%, #1fdf83 100%); } }
+  .hero.is-warning {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-warning strong {
+      color: inherit; }
+    .hero.is-warning .title {
+      color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning .subtitle {
+      color: rgba(0, 0, 0, 0.9); }
+      .hero.is-warning .subtitle a:not(.button),
+      .hero.is-warning .subtitle strong {
+        color: rgba(0, 0, 0, 0.7); }
+    @media screen and (max-width: 1055px) {
+      .hero.is-warning .navbar-menu {
+        background-color: #ffdd57; } }
+    .hero.is-warning .navbar-item,
+    .hero.is-warning .navbar-link {
+      color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning a.navbar-item:hover, .hero.is-warning a.navbar-item.is-active,
+    .hero.is-warning .navbar-link:hover,
+    .hero.is-warning .navbar-link.is-active {
+      background-color: #ffd83e;
+      color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning .tabs a {
+      color: rgba(0, 0, 0, 0.7);
+      opacity: 0.9; }
+      .hero.is-warning .tabs a:hover {
+        opacity: 1; }
+    .hero.is-warning .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-warning .tabs.is-boxed a, .hero.is-warning .tabs.is-toggle a {
+      color: rgba(0, 0, 0, 0.7); }
+      .hero.is-warning .tabs.is-boxed a:hover, .hero.is-warning .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-warning .tabs.is-boxed li.is-active a, .hero.is-warning .tabs.is-boxed li.is-active a:hover, .hero.is-warning .tabs.is-toggle li.is-active a, .hero.is-warning .tabs.is-toggle li.is-active a:hover {
+      background-color: rgba(0, 0, 0, 0.7);
+      border-color: rgba(0, 0, 0, 0.7);
+      color: #ffdd57; }
+    .hero.is-warning.is-bold {
+      background-image: linear-gradient(141deg, #ffae24 0%, #ffdd57 71%, #fffa71 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-warning.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #ffae24 0%, #ffdd57 71%, #fffa71 100%); } }
+  .hero.is-danger {
+    background-color: #da0b00;
+    color: #fff; }
+    .hero.is-danger a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-danger strong {
+      color: inherit; }
+    .hero.is-danger .title {
+      color: #fff; }
+    .hero.is-danger .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-danger .subtitle a:not(.button),
+      .hero.is-danger .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-danger .navbar-menu {
+        background-color: #da0b00; } }
+    .hero.is-danger .navbar-item,
+    .hero.is-danger .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-danger a.navbar-item:hover, .hero.is-danger a.navbar-item.is-active,
+    .hero.is-danger .navbar-link:hover,
+    .hero.is-danger .navbar-link.is-active {
+      background-color: #c10a00;
+      color: #fff; }
+    .hero.is-danger .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-danger .tabs a:hover {
+        opacity: 1; }
+    .hero.is-danger .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-danger .tabs.is-boxed a, .hero.is-danger .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-danger .tabs.is-boxed a:hover, .hero.is-danger .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-danger .tabs.is-boxed li.is-active a, .hero.is-danger .tabs.is-boxed li.is-active a:hover, .hero.is-danger .tabs.is-toggle li.is-active a, .hero.is-danger .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #da0b00; }
+    .hero.is-danger.is-bold {
+      background-image: linear-gradient(141deg, #a70013 0%, #da0b00 71%, #f43500 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-danger.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #a70013 0%, #da0b00 71%, #f43500 100%); } }
+  .hero.is-small .hero-body, #documenter .docs-sidebar form.docs-search > input.hero .hero-body {
+    padding-bottom: 1.5rem;
+    padding-top: 1.5rem; }
+  @media screen and (min-width: 769px), print {
+    .hero.is-medium .hero-body {
+      padding-bottom: 9rem;
+      padding-top: 9rem; } }
+  @media screen and (min-width: 769px), print {
+    .hero.is-large .hero-body {
+      padding-bottom: 18rem;
+      padding-top: 18rem; } }
+  .hero.is-halfheight .hero-body, .hero.is-fullheight .hero-body, .hero.is-fullheight-with-navbar .hero-body {
+    align-items: center;
+    display: flex; }
+    .hero.is-halfheight .hero-body > .container, .hero.is-fullheight .hero-body > .container, .hero.is-fullheight-with-navbar .hero-body > .container {
+      flex-grow: 1;
+      flex-shrink: 1; }
+  .hero.is-halfheight {
+    min-height: 50vh; }
+  .hero.is-fullheight {
+    min-height: 100vh; }
+
+.hero-video {
+  overflow: hidden; }
+  .hero-video video {
+    left: 50%;
+    min-height: 100%;
+    min-width: 100%;
+    position: absolute;
+    top: 50%;
+    transform: translate3d(-50%, -50%, 0); }
+  .hero-video.is-transparent {
+    opacity: 0.3; }
+  @media screen and (max-width: 768px) {
+    .hero-video {
+      display: none; } }
+.hero-buttons {
+  margin-top: 1.5rem; }
+  @media screen and (max-width: 768px) {
+    .hero-buttons .button {
+      display: flex; }
+      .hero-buttons .button:not(:last-child) {
+        margin-bottom: 0.75rem; } }
+  @media screen and (min-width: 769px), print {
+    .hero-buttons {
+      display: flex;
+      justify-content: center; }
+      .hero-buttons .button:not(:last-child) {
+        margin-right: 1.5rem; } }
+.hero-head,
+.hero-foot {
+  flex-grow: 0;
+  flex-shrink: 0; }
+
+.hero-body {
+  flex-grow: 1;
+  flex-shrink: 0;
+  padding: 3rem 1.5rem; }
+
+.section {
+  padding: 3rem 1.5rem; }
+  @media screen and (min-width: 1056px) {
+    .section.is-medium {
+      padding: 9rem 1.5rem; }
+    .section.is-large {
+      padding: 18rem 1.5rem; } }
+.footer {
+  background-color: #fafafa;
+  padding: 3rem 1.5rem 6rem; }
+
+h1 .docs-heading-anchor, h1 .docs-heading-anchor:hover, h1 .docs-heading-anchor:visited, h2 .docs-heading-anchor, h2 .docs-heading-anchor:hover, h2 .docs-heading-anchor:visited, h3 .docs-heading-anchor, h3 .docs-heading-anchor:hover, h3 .docs-heading-anchor:visited, h4 .docs-heading-anchor, h4 .docs-heading-anchor:hover, h4 .docs-heading-anchor:visited, h5 .docs-heading-anchor, h5 .docs-heading-anchor:hover, h5 .docs-heading-anchor:visited, h6 .docs-heading-anchor, h6 .docs-heading-anchor:hover, h6 .docs-heading-anchor:visited {
+  color: #222222; }
+
+h1 .docs-heading-anchor-permalink, h2 .docs-heading-anchor-permalink, h3 .docs-heading-anchor-permalink, h4 .docs-heading-anchor-permalink, h5 .docs-heading-anchor-permalink, h6 .docs-heading-anchor-permalink {
+  visibility: hidden;
+  vertical-align: middle;
+  margin-left: 0.5em;
+  font-size: 0.7rem; }
+  h1 .docs-heading-anchor-permalink::before, h2 .docs-heading-anchor-permalink::before, h3 .docs-heading-anchor-permalink::before, h4 .docs-heading-anchor-permalink::before, h5 .docs-heading-anchor-permalink::before, h6 .docs-heading-anchor-permalink::before {
+    font-family: "Font Awesome 5 Free";
+    font-weight: 900;
+    content: "\f0c1"; }
+
+h1:hover .docs-heading-anchor-permalink, h2:hover .docs-heading-anchor-permalink, h3:hover .docs-heading-anchor-permalink, h4:hover .docs-heading-anchor-permalink, h5:hover .docs-heading-anchor-permalink, h6:hover .docs-heading-anchor-permalink {
+  visibility: visible; }
+
+.docs-dark-only {
+  display: none !important; }
+
+pre {
+  position: relative;
+  overflow: hidden; }
+  pre code, pre code.hljs {
+    padding: 0 0.75rem !important;
+    overflow: auto;
+    display: block; }
+  pre code:first-of-type, pre code.hljs:first-of-type {
+    padding-top: 0.5rem !important; }
+  pre code:last-of-type, pre code.hljs:last-of-type {
+    padding-bottom: 0.5rem !important; }
+  pre .copy-button {
+    opacity: 0.2;
+    transition: opacity 0.2s;
+    position: absolute;
+    right: 0em;
+    top: 0em;
+    padding: 0.5em;
+    width: 2.5em;
+    height: 2.5em;
+    background: transparent;
+    border: none;
+    font-family: "Font Awesome 5 Free";
+    color: #222222;
+    cursor: pointer;
+    text-align: center; }
+    pre .copy-button:focus, pre .copy-button:hover {
+      opacity: 1;
+      background: rgba(34, 34, 34, 0.1);
+      color: #2e63b8; }
+    pre .copy-button.success {
+      color: #259a12;
+      opacity: 1; }
+    pre .copy-button.error {
+      color: #cb3c33;
+      opacity: 1; }
+  pre:hover .copy-button {
+    opacity: 1; }
+
+.admonition {
+  background-color: #b5b5b5;
+  border-style: solid;
+  border-width: 1px;
+  border-color: #363636;
+  border-radius: 4px;
+  font-size: 1rem; }
+  .admonition strong {
+    color: currentColor; }
+  .admonition.is-small, #documenter .docs-sidebar form.docs-search > input.admonition {
+    font-size: 0.75rem; }
+  .admonition.is-medium {
+    font-size: 1.25rem; }
+  .admonition.is-large {
+    font-size: 1.5rem; }
+  .admonition.is-default {
+    background-color: #b5b5b5;
+    border-color: #363636; }
+    .admonition.is-default > .admonition-header {
+      background-color: #363636;
+      color: #fff; }
+    .admonition.is-default > .admonition-body {
+      color: #fff; }
+  .admonition.is-info {
+    background-color: #def0fc;
+    border-color: #209cee; }
+    .admonition.is-info > .admonition-header {
+      background-color: #209cee;
+      color: #fff; }
+    .admonition.is-info > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-success {
+    background-color: #bdf4d1;
+    border-color: #22c35b; }
+    .admonition.is-success > .admonition-header {
+      background-color: #22c35b;
+      color: #fff; }
+    .admonition.is-success > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-warning {
+    background-color: #fff3c5;
+    border-color: #ffdd57; }
+    .admonition.is-warning > .admonition-header {
+      background-color: #ffdd57;
+      color: rgba(0, 0, 0, 0.7); }
+    .admonition.is-warning > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-danger {
+    background-color: #ffaba7;
+    border-color: #da0b00; }
+    .admonition.is-danger > .admonition-header {
+      background-color: #da0b00;
+      color: #fff; }
+    .admonition.is-danger > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-compat {
+    background-color: #bdeff5;
+    border-color: #1db5c9; }
+    .admonition.is-compat > .admonition-header {
+      background-color: #1db5c9;
+      color: #fff; }
+    .admonition.is-compat > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+
+.admonition-header {
+  color: #fff;
+  background-color: #363636;
+  align-items: center;
+  font-weight: 700;
+  justify-content: space-between;
+  line-height: 1.25;
+  padding: 0.5rem 0.75rem;
+  position: relative; }
+  .admonition-header:before {
+    font-family: "Font Awesome 5 Free";
+    font-weight: 900;
+    margin-right: 0.75rem;
+    content: "\f06a"; }
+
+.admonition-body {
+  color: #222222;
+  padding: 0.5rem 0.75rem; }
+  .admonition-body pre {
+    background-color: whitesmoke; }
+  .admonition-body code {
+    background-color: rgba(0, 0, 0, 0.05); }
+
+.docstring {
+  margin-bottom: 1em;
+  background-color: transparent;
+  border: 1px solid #dbdbdb;
+  box-shadow: 2px 2px 3px rgba(10, 10, 10, 0.1);
+  max-width: 100%; }
+  .docstring > header {
+    display: flex;
+    flex-grow: 1;
+    align-items: stretch;
+    padding: 0.5rem 0.75rem;
+    background-color: whitesmoke;
+    box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+    box-shadow: none;
+    border-bottom: 1px solid #dbdbdb; }
+    .docstring > header code {
+      background-color: transparent; }
+    .docstring > header .docstring-binding {
+      margin-right: 0.3em; }
+    .docstring > header .docstring-category {
+      margin-left: 0.3em; }
+  .docstring > section {
+    position: relative;
+    padding: 0.75rem 0.75rem;
+    border-bottom: 1px solid #dbdbdb; }
+    .docstring > section:last-child {
+      border-bottom: none; }
+    .docstring > section > a.docs-sourcelink {
+      transition: opacity 0.3s;
+      opacity: 0;
+      position: absolute;
+      right: 0.375rem;
+      bottom: 0.375rem; }
+      .docstring > section > a.docs-sourcelink:focus {
+        opacity: 1 !important; }
+  .docstring:hover > section > a.docs-sourcelink {
+    opacity: 0.2; }
+  .docstring:focus-within > section > a.docs-sourcelink {
+    opacity: 0.2; }
+  .docstring > section:hover a.docs-sourcelink {
+    opacity: 1; }
+
+.documenter-example-output {
+  background-color: white; }
+
+.outdated-warning-overlay {
+  position: fixed;
+  top: 0;
+  left: 0;
+  right: 0;
+  box-shadow: 0 0 10px rgba(0, 0, 0, 0.3);
+  z-index: 999;
+  background-color: #ffaba7;
+  color: rgba(0, 0, 0, 0.7);
+  border-bottom: 3px solid #da0b00;
+  padding: 10px 35px;
+  text-align: center;
+  font-size: 15px; }
+  .outdated-warning-overlay .outdated-warning-closer {
+    position: absolute;
+    top: calc(50% - 10px);
+    right: 18px;
+    cursor: pointer;
+    width: 12px; }
+  .outdated-warning-overlay a {
+    color: #2e63b8; }
+    .outdated-warning-overlay a:hover {
+      color: #363636; }
+
+.content pre {
+  border: 1px solid #dbdbdb; }
+
+.content code {
+  font-weight: inherit; }
+
+.content a code {
+  color: #2e63b8; }
+
+.content h1 code, .content h2 code, .content h3 code, .content h4 code, .content h5 code, .content h6 code {
+  color: #222222; }
+
+.content table {
+  display: block;
+  width: initial;
+  max-width: 100%;
+  overflow-x: auto; }
+
+.content blockquote > ul:first-child, .content blockquote > ol:first-child, .content .admonition-body > ul:first-child, .content .admonition-body > ol:first-child {
+  margin-top: 0; }
+
+pre, code {
+  font-variant-ligatures: no-contextual; }
+
+.breadcrumb a.is-disabled {
+  cursor: default;
+  pointer-events: none; }
+  .breadcrumb a.is-disabled, .breadcrumb a.is-disabled:hover {
+    color: #222222; }
+
+.hljs {
+  background: initial !important; }
+
+.katex .katex-mathml {
+  top: 0;
+  right: 0; }
+
+.katex-display, mjx-container, .MathJax_Display {
+  margin: 0.5em 0 !important; }
+
+html {
+  -moz-osx-font-smoothing: auto;
+  -webkit-font-smoothing: auto; }
+
+li.no-marker {
+  list-style: none; }
+
+/* This file contain the overall layout.
+ *
+ * The main container is <div> that is identified by id #documenter.
+ */
+#documenter .docs-main > article {
+  overflow-wrap: break-word; }
+  #documenter .docs-main > article .math-container {
+    overflow-x: auto;
+    overflow-y: hidden; }
+
+@media screen and (min-width: 1056px) {
+  #documenter .docs-main {
+    max-width: 52rem;
+    margin-left: 20rem;
+    padding-right: 1rem; } }
+
+@media screen and (max-width: 1055px) {
+  #documenter .docs-main {
+    width: 100%; }
+    #documenter .docs-main > article {
+      max-width: 52rem;
+      margin-left: auto;
+      margin-right: auto;
+      margin-bottom: 1rem;
+      padding: 0 1rem; }
+    #documenter .docs-main > header, #documenter .docs-main > nav {
+      max-width: 100%;
+      width: 100%;
+      margin: 0; } }
+
+#documenter .docs-main header.docs-navbar {
+  background-color: white;
+  border-bottom: 1px solid #dbdbdb;
+  z-index: 2;
+  min-height: 4rem;
+  margin-bottom: 1rem;
+  display: flex; }
+  #documenter .docs-main header.docs-navbar .breadcrumb {
+    flex-grow: 1; }
+  #documenter .docs-main header.docs-navbar .docs-right {
+    display: flex;
+    white-space: nowrap; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-icon, #documenter .docs-main header.docs-navbar .docs-right .docs-label, #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+      display: inline-block; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-label {
+      padding: 0;
+      margin-left: 0.3em; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-settings-button {
+      margin: auto 0 auto 1rem; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+      font-size: 1.5rem;
+      margin: auto 0 auto 1rem; }
+  #documenter .docs-main header.docs-navbar > * {
+    margin: auto 0; }
+  @media screen and (max-width: 1055px) {
+    #documenter .docs-main header.docs-navbar {
+      position: sticky;
+      top: 0;
+      padding: 0 1rem;
+      /* For Headroom.js */
+      transition-property: top, box-shadow;
+      -webkit-transition-property: top, box-shadow;
+      /* Safari */
+      transition-duration: 0.3s;
+      -webkit-transition-duration: 0.3s;
+      /* Safari */ }
+      #documenter .docs-main header.docs-navbar.headroom--not-top {
+        box-shadow: 0.2rem 0rem 0.4rem #bbb;
+        transition-duration: 0.7s;
+        -webkit-transition-duration: 0.7s;
+        /* Safari */ }
+      #documenter .docs-main header.docs-navbar.headroom--unpinned.headroom--not-top.headroom--not-bottom {
+        top: -4.5rem;
+        transition-duration: 0.7s;
+        -webkit-transition-duration: 0.7s;
+        /* Safari */ } }
+#documenter .docs-main section.footnotes {
+  border-top: 1px solid #dbdbdb; }
+  #documenter .docs-main section.footnotes li .tag:first-child, #documenter .docs-main section.footnotes li .docstring > section > a.docs-sourcelink:first-child, #documenter .docs-main section.footnotes li .content kbd:first-child, .content #documenter .docs-main section.footnotes li kbd:first-child {
+    margin-right: 1em;
+    margin-bottom: 0.4em; }
+
+#documenter .docs-main .docs-footer {
+  display: flex;
+  flex-wrap: wrap;
+  margin-left: 0;
+  margin-right: 0;
+  border-top: 1px solid #dbdbdb;
+  padding-top: 1rem;
+  padding-bottom: 1rem; }
+  @media screen and (max-width: 1055px) {
+    #documenter .docs-main .docs-footer {
+      padding-left: 1rem;
+      padding-right: 1rem; } }
+  #documenter .docs-main .docs-footer .docs-footer-nextpage, #documenter .docs-main .docs-footer .docs-footer-prevpage {
+    flex-grow: 1; }
+  #documenter .docs-main .docs-footer .docs-footer-nextpage {
+    text-align: right; }
+  #documenter .docs-main .docs-footer .flexbox-break {
+    flex-basis: 100%;
+    height: 0; }
+  #documenter .docs-main .docs-footer .footer-message {
+    font-size: 0.8em;
+    margin: 0.5em auto 0 auto;
+    text-align: center; }
+
+#documenter .docs-sidebar {
+  display: flex;
+  flex-direction: column;
+  color: #0a0a0a;
+  background-color: whitesmoke;
+  border-right: 1px solid #dbdbdb;
+  padding: 0;
+  flex: 0 0 18rem;
+  z-index: 5;
+  font-size: 1rem;
+  position: fixed;
+  left: -18rem;
+  width: 18rem;
+  height: 100%;
+  transition: left 0.3s;
+  /* Setting up a nicer theme style for the scrollbar */ }
+  #documenter .docs-sidebar.visible {
+    left: 0;
+    box-shadow: 0.4rem 0rem 0.8rem #bbb; }
+    @media screen and (min-width: 1056px) {
+      #documenter .docs-sidebar.visible {
+        box-shadow: none; } }
+  @media screen and (min-width: 1056px) {
+    #documenter .docs-sidebar {
+      left: 0;
+      top: 0; } }
+  #documenter .docs-sidebar .docs-logo {
+    margin-top: 1rem;
+    padding: 0 1rem; }
+    #documenter .docs-sidebar .docs-logo > img {
+      max-height: 6rem;
+      margin: auto; }
+  #documenter .docs-sidebar .docs-package-name {
+    flex-shrink: 0;
+    font-size: 1.5rem;
+    font-weight: 700;
+    text-align: center;
+    white-space: nowrap;
+    overflow: hidden;
+    padding: 0.5rem 0; }
+    #documenter .docs-sidebar .docs-package-name .docs-autofit {
+      max-width: 16.2rem; }
+    #documenter .docs-sidebar .docs-package-name a, #documenter .docs-sidebar .docs-package-name a:hover {
+      color: #0a0a0a; }
+  #documenter .docs-sidebar .docs-version-selector {
+    border-top: 1px solid #dbdbdb;
+    display: none;
+    padding: 0.5rem; }
+    #documenter .docs-sidebar .docs-version-selector.visible {
+      display: flex; }
+  #documenter .docs-sidebar ul.docs-menu {
+    flex-grow: 1;
+    user-select: none;
+    border-top: 1px solid #dbdbdb;
+    padding-bottom: 1.5rem;
+    /* Managing collapsible submenus */ }
+    #documenter .docs-sidebar ul.docs-menu > li > .tocitem {
+      font-weight: bold; }
+    #documenter .docs-sidebar ul.docs-menu > li li {
+      font-size: 0.95rem;
+      margin-left: 1em;
+      border-left: 1px solid #dbdbdb; }
+    #documenter .docs-sidebar ul.docs-menu input.collapse-toggle {
+      display: none; }
+    #documenter .docs-sidebar ul.docs-menu ul.collapsed {
+      display: none; }
+    #documenter .docs-sidebar ul.docs-menu input:checked ~ ul.collapsed {
+      display: block; }
+    #documenter .docs-sidebar ul.docs-menu label.tocitem {
+      display: flex; }
+      #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-label {
+        flex-grow: 2; }
+      #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron {
+        display: inline-block;
+        font-style: normal;
+        font-variant: normal;
+        text-rendering: auto;
+        line-height: 1;
+        font-size: 0.75rem;
+        margin-left: 1rem;
+        margin-top: auto;
+        margin-bottom: auto; }
+        #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron::before {
+          font-family: "Font Awesome 5 Free";
+          font-weight: 900;
+          content: "\f054"; }
+    #documenter .docs-sidebar ul.docs-menu input:checked ~ label.tocitem .docs-chevron::before {
+      content: "\f078"; }
+    #documenter .docs-sidebar ul.docs-menu .tocitem {
+      display: block;
+      padding: 0.5rem 0.5rem; }
+      #documenter .docs-sidebar ul.docs-menu .tocitem, #documenter .docs-sidebar ul.docs-menu .tocitem:hover {
+        color: #0a0a0a;
+        background: whitesmoke; }
+    #documenter .docs-sidebar ul.docs-menu a.tocitem:hover, #documenter .docs-sidebar ul.docs-menu label.tocitem:hover {
+      color: #0a0a0a;
+      background-color: #ebebeb; }
+    #documenter .docs-sidebar ul.docs-menu li.is-active {
+      border-top: 1px solid #dbdbdb;
+      border-bottom: 1px solid #dbdbdb;
+      background-color: white; }
+      #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem, #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem:hover {
+        background-color: white;
+        color: #0a0a0a; }
+      #documenter .docs-sidebar ul.docs-menu li.is-active ul.internal .tocitem:hover {
+        background-color: #ebebeb;
+        color: #0a0a0a; }
+    #documenter .docs-sidebar ul.docs-menu > li.is-active:first-child {
+      border-top: none; }
+    #documenter .docs-sidebar ul.docs-menu ul.internal {
+      margin: 0 0.5rem 0.5rem;
+      border-top: 1px solid #dbdbdb; }
+      #documenter .docs-sidebar ul.docs-menu ul.internal li {
+        font-size: 0.85rem;
+        border-left: none;
+        margin-left: 0;
+        margin-top: 0.5rem; }
+      #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem {
+        width: 100%;
+        padding: 0; }
+        #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem::before {
+          content: "⚬";
+          margin-right: 0.4em; }
+  #documenter .docs-sidebar form.docs-search {
+    margin: auto;
+    margin-top: 0.5rem;
+    margin-bottom: 0.5rem; }
+    #documenter .docs-sidebar form.docs-search > input {
+      width: 14.4rem; }
+  @media screen and (min-width: 1056px) {
+    #documenter .docs-sidebar ul.docs-menu {
+      overflow-y: auto;
+      -webkit-overflow-scroll: touch; }
+      #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar {
+        width: .3rem;
+        background: none; }
+      #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb {
+        border-radius: 5px 0px 0px 5px;
+        background: #e0e0e0; }
+      #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb:hover {
+        background: #cccccc; } }
+  @media screen and (max-width: 1055px) {
+    #documenter .docs-sidebar {
+      overflow-y: auto;
+      -webkit-overflow-scroll: touch; }
+      #documenter .docs-sidebar::-webkit-scrollbar {
+        width: .3rem;
+        background: none; }
+      #documenter .docs-sidebar::-webkit-scrollbar-thumb {
+        border-radius: 5px 0px 0px 5px;
+        background: #e0e0e0; }
+      #documenter .docs-sidebar::-webkit-scrollbar-thumb:hover {
+        background: #cccccc; } }
+#documenter .docs-main #documenter-search-info {
+  margin-bottom: 1rem; }
+
+#documenter .docs-main #documenter-search-results {
+  list-style-type: circle;
+  list-style-position: outside; }
+  #documenter .docs-main #documenter-search-results li {
+    margin-left: 2rem; }
+  #documenter .docs-main #documenter-search-results .docs-highlight {
+    background-color: yellow; }
+
+.ansi span.sgr1 {
+  font-weight: bolder; }
+
+.ansi span.sgr2 {
+  font-weight: lighter; }
+
+.ansi span.sgr3 {
+  font-style: italic; }
+
+.ansi span.sgr4 {
+  text-decoration: underline; }
+
+.ansi span.sgr7 {
+  color: white;
+  background-color: #222222; }
+
+.ansi span.sgr8 {
+  color: transparent; }
+  .ansi span.sgr8 span {
+    color: transparent; }
+
+.ansi span.sgr9 {
+  text-decoration: line-through; }
+
+.ansi span.sgr30 {
+  color: #242424; }
+
+.ansi span.sgr31 {
+  color: #a7201f; }
+
+.ansi span.sgr32 {
+  color: #066f00; }
+
+.ansi span.sgr33 {
+  color: #856b00; }
+
+.ansi span.sgr34 {
+  color: #2149b0; }
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+.ansi span.sgr35 {
+  color: #7d4498; }
+
+.ansi span.sgr36 {
+  color: #007989; }
+
+.ansi span.sgr37 {
+  color: gray; }
+
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+  background-color: #242424; }
+
+.ansi span.sgr41 {
+  background-color: #a7201f; }
+
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+  background-color: #066f00; }
+
+.ansi span.sgr43 {
+  background-color: #856b00; }
+
+.ansi span.sgr44 {
+  background-color: #2149b0; }
+
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+  background-color: #7d4498; }
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+  background-color: #007989; }
+
+.ansi span.sgr47 {
+  background-color: gray; }
+
+.ansi span.sgr90 {
+  color: #616161; }
+
+.ansi span.sgr91 {
+  color: #cb3c33; }
+
+.ansi span.sgr92 {
+  color: #0e8300; }
+
+.ansi span.sgr93 {
+  color: #a98800; }
+
+.ansi span.sgr94 {
+  color: #3c5dcd; }
+
+.ansi span.sgr95 {
+  color: #9256af; }
+
+.ansi span.sgr96 {
+  color: #008fa3; }
+
+.ansi span.sgr97 {
+  color: whitesmoke; }
+
+.ansi span.sgr100 {
+  background-color: #616161; }
+
+.ansi span.sgr101 {
+  background-color: #cb3c33; }
+
+.ansi span.sgr102 {
+  background-color: #0e8300; }
+
+.ansi span.sgr103 {
+  background-color: #a98800; }
+
+.ansi span.sgr104 {
+  background-color: #3c5dcd; }
+
+.ansi span.sgr105 {
+  background-color: #9256af; }
+
+.ansi span.sgr106 {
+  background-color: #008fa3; }
+
+.ansi span.sgr107 {
+  background-color: whitesmoke; }
+
+code.language-julia-repl > span.hljs-meta {
+  color: #066f00;
+  font-weight: bolder; }
+
+/*!
+  Theme: Default
+  Description: Original highlight.js style
+  Author: (c) Ivan Sagalaev <maniac@softwaremaniacs.org>
+  Maintainer: @highlightjs/core-team
+  Website: https://highlightjs.org/
+  License: see project LICENSE
+  Touched: 2021
+*/
+/*
+This is left on purpose making default.css the single file that can be lifted
+as-is from the repository directly without the need for a build step
+
+Typically this "required" baseline CSS is added by `makestuff.js` during build.
+*/
+pre code.hljs {
+  display: block;
+  overflow-x: auto; }
+
+code.hljs {
+  padding: 3px 5px; }
+
+/* end baseline CSS */
+.hljs {
+  background: #F0F0F0;
+  color: #444; }
+
+/* Base color: saturation 0; */
+.hljs-subst {
+  /* default */ }
+
+/* purposely ignored */
+.hljs-comment {
+  color: #888888; }
+
+.hljs-tag,
+.hljs-punctuation {
+  color: #444a; }
+
+.hljs-tag .hljs-name,
+.hljs-tag .hljs-attr {
+  color: #444; }
+
+.hljs-keyword,
+.hljs-attribute,
+.hljs-selector-tag,
+.hljs-meta .hljs-keyword,
+.hljs-doctag,
+.hljs-name {
+  font-weight: bold; }
+
+/* User color: hue: 0 */
+.hljs-type,
+.hljs-string,
+.hljs-number,
+.hljs-selector-id,
+.hljs-selector-class,
+.hljs-quote,
+.hljs-template-tag,
+.hljs-deletion {
+  color: #880000; }
+
+.hljs-title,
+.hljs-section {
+  color: #880000;
+  font-weight: bold; }
+
+.hljs-regexp,
+.hljs-symbol,
+.hljs-variable,
+.hljs-template-variable,
+.hljs-link,
+.hljs-selector-attr,
+.hljs-operator,
+.hljs-selector-pseudo {
+  color: #BC6060; }
+
+/* Language color: hue: 90; */
+.hljs-literal {
+  color: #78A960; }
+
+.hljs-built_in,
+.hljs-bullet,
+.hljs-code,
+.hljs-addition {
+  color: #397300; }
+
+/* Meta color: hue: 200 */
+.hljs-meta {
+  color: #1f7199; }
+
+.hljs-meta .hljs-string {
+  color: #4d99bf; }
+
+/* Misc effects */
+.hljs-emphasis {
+  font-style: italic; }
+
+.hljs-strong {
+  font-weight: bold; }
diff --git a/v0.4.1/assets/themeswap.js b/v0.4.1/assets/themeswap.js
new file mode 100644
index 000000000..c58e993e3
--- /dev/null
+++ b/v0.4.1/assets/themeswap.js
@@ -0,0 +1,66 @@
+// Small function to quickly swap out themes. Gets put into the <head> tag..
+function set_theme_from_local_storage() {
+  // Intialize the theme to null, which means default
+  var theme = null;
+  // If the browser supports the localstorage and is not disabled then try to get the
+  // documenter theme
+  if(window.localStorage != null) {
+    // Get the user-picked theme from localStorage. May be `null`, which means the default
+    // theme.
+    theme =  window.localStorage.getItem("documenter-theme");
+  }
+  // Check if the browser supports user color preference
+  var darkPreference = false;
+  // Check if the users preference is for dark color scheme
+  if(window.matchMedia('(prefers-color-scheme: dark)').matches === true) {
+    darkPreference = true;
+  }
+  // Initialize a few variables for the loop:
+  //
+  //  - active: will contain the index of the theme that should be active. Note that there
+  //    is no guarantee that localStorage contains sane values. If `active` stays `null`
+  //    we either could not find the theme or it is the default (primary) theme anyway.
+  //    Either way, we then need to stick to the primary theme.
+  //
+  //  - disabled: style sheets that should be disabled (i.e. all the theme style sheets
+  //    that are not the currently active theme)
+  var active = null; var disabled = []; var darkTheme = null;
+  for (var i = 0; i < document.styleSheets.length; i++) {
+    var ss = document.styleSheets[i];
+    // The <link> tag of each style sheet is expected to have a data-theme-name attribute
+    // which must contain the name of the theme. The names in localStorage much match this.
+    var themename = ss.ownerNode.getAttribute("data-theme-name");
+    // attribute not set => non-theme stylesheet => ignore
+    if(themename === null) continue;
+    // To distinguish the default (primary) theme, it needs to have the data-theme-primary
+    // attribute set.
+    var isprimary = (ss.ownerNode.getAttribute("data-theme-primary") !== null);
+    // Check if the theme is primary dark theme
+    var isDarkTheme = (ss.ownerNode.getAttribute("data-theme-primary-dark") !== null);
+    // If ss is for dark theme then set the value of darkTheme to the name of the theme
+    if(isDarkTheme) darkTheme = themename;
+    // If we find a matching theme (and it's not the default), we'll set active to non-null
+    if(themename === theme) active = i;
+    // Store the style sheets of inactive themes so that we could disable them
+    if(themename !== theme) disabled.push(ss);
+  }
+  if(active !== null) {
+    // If we did find an active theme, we'll (1) add the theme--$(theme) class to <html>
+    document.getElementsByTagName('html')[0].className = "theme--" + theme;
+    // and (2) disable all the other theme stylesheets
+    disabled.forEach(function(ss){
+      ss.disabled = true;
+    });
+  }
+  else if(darkTheme !== null && darkPreference === true) {
+    // If we did find an active theme, we'll (1) add the theme--$(theme) class to <html>
+    document.getElementsByTagName('html')[0].className = "theme--" + darkTheme;
+    // and (2) disable all the other theme stylesheets
+    disabled.forEach(function(ss){
+      if (ss.ownerNode.getAttribute("data-theme-name") !== darkTheme) {
+        ss.disabled = true;
+      }
+    });
+  }
+}
+set_theme_from_local_storage();
diff --git a/v0.4.1/assets/warner.js b/v0.4.1/assets/warner.js
new file mode 100644
index 000000000..5531c8851
--- /dev/null
+++ b/v0.4.1/assets/warner.js
@@ -0,0 +1,49 @@
+function maybeAddWarning () {
+    // DOCUMENTER_NEWEST is defined in versions.js, DOCUMENTER_CURRENT_VERSION and DOCUMENTER_STABLE
+    // in siteinfo.js.
+    // If either of these are undefined something went horribly wrong, so we abort.
+    if (
+            window.DOCUMENTER_NEWEST === undefined ||
+            window.DOCUMENTER_CURRENT_VERSION === undefined ||
+            window.DOCUMENTER_STABLE === undefined
+       ) {
+        return
+    };
+
+    // Current version is not a version number, so we can't tell if it's the newest version. Abort.
+    if (!/v(\d+\.)*\d+/.test(window.DOCUMENTER_CURRENT_VERSION)) {
+        return
+    };
+
+    // Current version is newest version, so no need to add a warning.
+    if (window.DOCUMENTER_NEWEST === window.DOCUMENTER_CURRENT_VERSION) {
+        return
+    };
+
+    // Add a noindex meta tag (unless one exists) so that search engines don't index this version of the docs.
+    if (document.body.querySelector('meta[name="robots"]') === null) {
+        const meta = document.createElement('meta');
+        meta.name = 'robots';
+        meta.content = 'noindex';
+
+        document.getElementsByTagName('head')[0].appendChild(meta);
+    };
+
+    const div = document.createElement('div');
+    div.classList.add('outdated-warning-overlay');
+    const closer = document.createElement('button');
+    closer.classList.add('outdated-warning-closer', 'delete');
+    closer.addEventListener('click', function () {
+        document.body.removeChild(div);
+    });
+    const href = window.documenterBaseURL + '/../' + window.DOCUMENTER_STABLE;
+    div.innerHTML = 'This documentation is not for the latest stable release, but for either the development version or an older release.<br><a href="' + href + '">Click here to go to the documentation for the latest stable release.</a>';
+    div.appendChild(closer);
+    document.body.appendChild(div);
+};
+
+if (document.readyState === 'loading') {
+    document.addEventListener('DOMContentLoaded', maybeAddWarning);
+} else {
+    maybeAddWarning();
+};
diff --git a/v0.4.1/index.html b/v0.4.1/index.html
new file mode 100644
index 000000000..1cd02725c
--- /dev/null
+++ b/v0.4.1/index.html
@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Home · GeoParams.jl</title><script data-outdated-warner src="assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="assets/documenter.js"></script><script src="siteinfo.js"></script><script src="../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href><img src="assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href>GeoParams.jl</a></span></div><form class="docs-search" action="search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li class="is-active"><a class="tocitem" href>Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="man/geounit/">GeoUnit</a></li><li><a class="tocitem" href="man/nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="man/materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="man/density/">Density</a></li><li><a class="tocitem" href="man/creeplaws/">Creep laws</a></li><li><a class="tocitem" href="man/elasticity/">Elasticity</a></li><li><a class="tocitem" href="man/plasticity/">Plasticity</a></li><li><a class="tocitem" href="man/heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="man/conductivity/">Conductivity</a></li><li><a class="tocitem" href="man/latentheat/">Latent heat</a></li><li><a class="tocitem" href="man/radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="man/shearheating/">Shear heating</a></li><li><a class="tocitem" href="man/gravity/">Gravity</a></li><li><a class="tocitem" href="man/melting/">Partial Melting</a></li><li><a class="tocitem" href="man/TASclassification/">TAS classification</a></li><li><a class="tocitem" href="man/zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="man/phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="man/seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="man/strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="man/plotting/">Plotting</a></li><li><a class="tocitem" href="man/listfunctions/">List of functions</a></li><li><a class="tocitem" href="man/contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Home</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Home</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/index.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="GeoParams.jl"><a class="docs-heading-anchor" href="#GeoParams.jl">GeoParams.jl</a><a id="GeoParams.jl-1"></a><a class="docs-heading-anchor-permalink" href="#GeoParams.jl" title="Permalink"></a></h1><p>Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:</p><ul><li>Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).</li><li>Material parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. </li></ul><p>We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="man/geounit/">GeoUnit »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Saturday 22 October 2022 22:30">Saturday 22 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>TAS classification · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li class="is-active"><a class="tocitem" href>TAS classification</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routine"><span>Computational routine</span></a></li></ul></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>TAS classification</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>TAS classification</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/TASclassification.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="TAS-rock-classification"><a class="docs-heading-anchor" href="#TAS-rock-classification">TAS rock classification</a><a id="TAS-rock-classification-1"></a><a class="docs-heading-anchor-permalink" href="#TAS-rock-classification" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>When doing coupled petrological-geodynamic modelling, the evolution of the composition of the magma is more easily understood when a rock type is given. This routine is an implementation of the TAS diagram (Total Alkali (TA) vs Silica (S)) from Le Maitre et al., 2002.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.TASclassificationData" href="#GeoParams.TASclassification.TASclassificationData"><code>GeoParams.TASclassification.TASclassificationData</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">TASclassificationData
+
+Struct that holds default parameters for the TAS diagram</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/RockClassification/TASclassification.jl#L47-L51">source</a></section></article><h1 id="Computational-routine"><a class="docs-heading-anchor" href="#Computational-routine">Computational routine</a><a id="Computational-routine-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routine" title="Permalink"></a></h1><p>There is one routine with which you can retrieve the index of the TAS rock-type. The routine receives as an input a compositional vector [SiO2,Na2O+K2O] in wt% and sends back an index [1-15].</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.computeTASclassification" href="#GeoParams.TASclassification.computeTASclassification"><code>GeoParams.TASclassification.computeTASclassification</code></a> — <span class="docstring-category">Function</span></header><section><div><p>classIndex computeTASclassification(chemComp::AbstractArray{_T,N}, ClassTASdata::TASclassificationData)</p><p>This compute the classification of the igneous rock using TAS diagram (Total Alkali (TA) vs Silica (S)).</p><p><strong>Input:</strong></p><ul><li><code>chemComp</code> : vector rock composition in oxide wt%</li></ul><p>Output:</p><ul><li><code>classIndex</code> : an integer [0-14] corresponding to a TAS field (TASclassificationData.litho[classIndex])</li></ul><p>This routine was developed based the TAS classification of Le Maitre et al., 2002</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/RockClassification/TASclassification.jl#L113-L127">source</a></section></article><p>Using the index of the rock-type you can get the name of the corresponding volcanic rock using the following routine.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.retrieveTASrockType" href="#GeoParams.TASclassification.retrieveTASrockType"><code>GeoParams.TASclassification.retrieveTASrockType</code></a> — <span class="docstring-category">Function</span></header><section><div><p>retrieveTASrockType(index::Int64; ClassTASdata::TASclassificationData = TASclassificationData())</p><p>This retrieves the name of the volcanic rock-type using the computed index</p><p><strong>Input:</strong></p><ul><li><code>index</code> : integer [1-15]</li></ul><p>Output:</p><ul><li><code>litho</code> : a string of the name of corresponding volcanic rock</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/RockClassification/TASclassification.jl#L93-L105">source</a></section></article><p>We also provide a plotting routine, provided the <code>Plots</code> package is loaded, which produces figures such as: <img src="../assets/img/TAS_diagram.png" alt="subet3"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../melting/">« Partial Melting</a><a class="docs-footer-nextpage" href="../zirconages/">Zircon Ages »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Saturday 22 October 2022 22:30">Saturday 22 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li class="is-active"><a class="tocitem" href>Conductivity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" 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href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Conductivity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Conductivity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/conductivity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Conductivity"><a class="docs-heading-anchor" href="#Conductivity">Conductivity</a><a id="Conductivity-1"></a><a class="docs-heading-anchor-permalink" href="#Conductivity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Thermal conductivity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.ConstantConductivity" href="#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantConductivity(k=3.0W/m/K)</code></pre><p>Set a constant conductivity</p><p class="math-container">\[    k  = cst\]</p><p>where <span>$k$</span> is the thermal conductivity [<span>$W/m/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Energy/Conductivity.jl#L29-L37">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington" href="#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Conductivity_Whittington()</code></pre><p>Sets a temperature-dependent conductivity following the parameterization of <em>Whittington, A.G., Hofmeister, A.M., Nabelek, P.I., 2009. Temperature-dependent thermal diffusivity of the Earth’s crust and implications for magmatism. Nature 458, 319–321. https://doi.org/10.1038/nature07818.</em>  Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us to compute </p><p class="math-container">\[    Cp = a + b T - c/T^2 \]</p><p class="math-container">\[    \kappa = d/T - e \textrm{ if } T&lt;=846K\]</p><p class="math-container">\[    \kappa = f - g*T \textrm{ if } T&gt;846K\]</p><p class="math-container">\[    \rho = 2700 kg/m^3\]</p><p class="math-container">\[    k = \kappa \rho Cp\]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/mol/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <code>T</code>:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>d = 576.3m^2/s*K      </li><li>e = 0.062m^2/s        </li><li>f = 0.732m^2/s        </li><li>g = 0.000135m^2/s/K </li></ul><p>This looks like:</p><p><img src="../assets/img/Conductivity_Whittington.png" alt="subet1"/></p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; using GeoParams, Plots
+julia&gt; p=T_Conductivity_Whittington();
+julia&gt; T,k,plt = PlotConductivity(p)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Energy/Conductivity.jl#L81-L127">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised" href="#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Conductivity_Whittington_parameterised()</code></pre><p>Sets a temperature-dependent conductivity that is  parameterization after <em>Whittington, et al.  2009</em> </p><p>The original parameterization involves quite a few parameters; this is a polynomial fit that is roughly valid from 0-1000Celcius</p><p class="math-container">\[    k [W/m/K] = -2 10^{-9} (T-Ts)^3 + 6 10^{-6} (T-Ts)^2 - 0.0062 (T-Ts) + 4\]</p><p class="math-container">\[    Ts = 273.15 K\]</p><p>where <code>T[K]</code> is the temperature in Kelvin (or the nondimensional equivalent of it).</p><p>The comparison of this parameterisation vs. the original one is: <img src="../assets/img/Conductivity_Whittington_smooth.png" alt="subet1"/></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Energy/Conductivity.jl#L218-L236">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">TP_Conductivity()</code></pre><p>Sets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for  </p><p class="math-container">\[    k = \left( a_k +  {b_k \over {T + c_k}} \right) (1 + d_k P) \]</p><p>where <span>$k$</span> is the conductivity [<span>$W/K/m$</span>], and <span>$a_k,b_k,c_k,d_k$</span> are parameters that dependent on the temperature <code>T</code> and pressure <code>P</code>:</p><ul><li><span>$a_k$</span> = 1.18Watt/K/m    </li><li><span>$b_k$</span> = 474Watt/m </li><li><span>$c_k$</span> = 77K       </li><li><span>$d_k$</span> = 0/MPa       </li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Energy/Conductivity.jl#L313-L328">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">Set_TP_Conductivity[&quot;Name of temperature(-pressure) dependent conductivity&quot;]</code></pre><p>This is a dictionary with pre-defined laws:</p><ul><li>&quot;UpperCrust&quot;    </li><li>&quot;LowerCrust&quot;</li><li>&quot;OceanicCrust&quot;</li><li>&quot;Mantle&quot;</li></ul><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; k=Set_TP_Conductivity[&quot;Mantle&quot;]
+T/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)  </code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Energy/Conductivity.jl#L351-L366">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">k = compute_conductivity(P, T, s:&lt;AbstractConductivity)</code></pre><p>Returns the thermal conductivity <code>k</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the parameterizations implemented.</p><p>Currently available:</p><ul><li>ConstantConductivity</li><li>T_Conductivity_Whittington</li><li>TP_Conductivity</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia hljs">julia&gt; T  = (250:100:1250)*K;
+julia&gt; cp = T_HeatCapacity_Whittington()
+julia&gt; Cp = ComputeHeatCapacity(0,T,cp)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Energy/Conductivity.jl#L498-L517">source</a></section><section><div><pre><code class="nohighlight hljs">compute_conductivity!(K::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},Temp::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of conductivity <code>K</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>Temp</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p>_________________________________________________________________________________________________________</p><p>compute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</p><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Energy/Conductivity.jl#L539-L551">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity!" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_conductivity(k_array::AbstractArray{&lt;:AbstractFloat,N},P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, s::ConstantConductivity) where N</code></pre><p>In-place routine to compute constant conductivity    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Energy/Conductivity.jl#L65-L69">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../heatcapacity/">« Heat Capacity</a><a class="docs-footer-nextpage" href="../latentheat/">Latent heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Saturday 22 October 2022 22:30">Saturday 22 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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id="Contributing"><a class="docs-heading-anchor" href="#Contributing">Contributing</a><a id="Contributing-1"></a><a class="docs-heading-anchor-permalink" href="#Contributing" title="Permalink"></a></h1><p>This page details the some of the guidelines that should be followed when contributing to this package.</p><p>You can contribute for example by adding new creep laws or by adding new constitutive relationships. If you invest a bit of time now, it will save others in the community a lot of time! The simplest way to do this is by cloning the repository, and creating a new branch for your feature. Once you are happy with what you added (and after you added a test to ensure that it will keep working with future changes), create a pull request and we will evaluate &amp; merge it.</p><h2 id="Style-Guide"><a class="docs-heading-anchor" href="#Style-Guide">Style Guide</a><a id="Style-Guide-1"></a><a class="docs-heading-anchor-permalink" href="#Style-Guide" title="Permalink"></a></h2><p>Follow the style of the surrounding text when making changes. When adding new features please try to stick to the following points whenever applicable.</p><h3 id="Julia"><a class="docs-heading-anchor" href="#Julia">Julia</a><a id="Julia-1"></a><a class="docs-heading-anchor-permalink" href="#Julia" title="Permalink"></a></h3><ul><li>4-space indentation;</li><li>modules spanning entire files should not be indented, but modules that have surrounding code should;</li><li>no blank lines at the start or end of files;</li><li>do not manually align syntax such as <code>=</code> or <code>::</code> over adjacent lines;</li><li>use <code>function ... end</code> when a method definition contains more than one toplevel expression;</li><li>related short-form method definitions don&#39;t need a new line between them;</li><li>unrelated or long-form method definitions must have a blank line separating each one;</li><li>surround all binary operators with whitespace except for <code>::</code>, <code>^</code>, and <code>:</code>;</li><li>files containing a single <code>module ... end</code> must be named after the module;</li><li>method arguments should be ordered based on the amount of usage within the method body;</li><li>methods extended from other modules must follow their inherited argument order, not the above rule;</li><li>explicit <code>return</code> should be preferred except in short-form method definitions;</li><li>avoid dense expressions where possible e.g. prefer nested <code>if</code>s over complex nested <code>?</code>s;</li><li>include a trailing <code>,</code> in vectors, tuples, or method calls that span several lines;</li><li>do not use multiline comments (<code>#=</code> and <code>=#</code>);</li><li>wrap long lines as near to 92 characters as possible, this includes docstrings;</li><li>follow the standard naming conventions used in <code>Base</code>.</li></ul><h3 id="Markdown"><a class="docs-heading-anchor" href="#Markdown">Markdown</a><a id="Markdown-1"></a><a class="docs-heading-anchor-permalink" href="#Markdown" title="Permalink"></a></h3><ul><li>Use unbalanced <code>#</code> headers, i.e. no <code>#</code> on the right hand side of the header text;</li><li>include a single blank line between toplevel blocks;</li><li>unordered lists must use <code>*</code> bullets with two preceding spaces;</li><li>do <em>not</em> hard wrap lines;</li><li>use emphasis (<code>*</code>) and bold (<code>**</code>) sparingly;</li><li>always use fenced code blocks instead of indented blocks;</li><li>follow the conventions outlined in the Julia documentation page on documentation.</li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../listfunctions/">« List of functions</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Saturday 22 October 2022 22:30">Saturday 22 October 2022</span>. 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class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Creep laws</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Creep laws</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/creeplaws.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="CreepLaws"><a class="docs-heading-anchor" href="#CreepLaws">CreepLaws</a><a id="CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#CreepLaws" title="Permalink"></a></h1><h1 id="Implemented-creep-laws"><a class="docs-heading-anchor" href="#Implemented-creep-laws">Implemented creep laws</a><a id="Implemented-creep-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-creep-laws" title="Permalink"></a></h1><p>The following viscous creep laws are implemented:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">LinearViscous(η=1e20Pa*s)</code></pre><p>Defines a linear viscous creeplaw </p><p>The (isotopic) linear viscous rheology is given by  </p><p class="math-container">\[    \tau_{ij} = 2 \eta \dot{\varepsilon}_{ij} \]</p><p>or</p><p class="math-container">\[    \dot{\varepsilon}_{ij}  = {\tau_{ij}  \over 2 \eta }\]</p><p>where <span>$\eta_0$</span> is the reference viscosity [Pa*s] at reference strain rate <span>$\dot{\varepsilon}_0$</span>[1/s], and <span>$n$</span> the power law exponent []. </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/CreepLaw/CreepLaw.jl#L55-L70">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)</code></pre><p>Defines a power law viscous creeplaw as: </p><p class="math-container">\[    \tau_{ij}^n  = 2 \eta_0 \left( \dot{\varepsilon}_{ij} \over \dot{\varepsilon}_0 \right)\]</p><p>where <span>$\eta$</span> is the effective viscosity [Pa*s].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/CreepLaw/CreepLaw.jl#L272-L281">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DislocationCreep(n = 1.0NoUnits, r = 0.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )</code></pre><p>Defines the flow law parameter of a dislocation creep law.</p><p>The (isotropic) dislocation creep law, as used by experimentalists, is given by  </p><p class="math-container">\[     \dot{\gamma} = A \sigma_\mathrm{d}^n f_\mathrm{H2O}^r \exp\left(-\frac{E+PV}{RT}\right)\]</p><p>where </p><ul><li><span>$n$</span> is the power law exponent  </li><li><span>$r$</span> is the exponent of fugacity dependence </li><li><span>$A$</span> is a pre-exponential factor <span>$[\mathrm{MPa}^{-n}s^{-1}]$</span> (if manually defined, <span>$n$</span> and <span>$r$</span> must be either pre-defined or substituted) </li><li><span>$E$</span> is the activation energy <span>$\mathrm{[kJ/mol]}$</span> </li><li><span>$V$</span> is the activation volume <span>$\mathrm{[m^3/mol]}$</span> </li><li><span>$\dot{\gamma}$</span> is the strain rate <span>$\mathrm{[1/s]}$</span> </li><li><span>$\sigma_\mathrm{d}$</span> is the differential stress <span>$\mathrm{[MPa]}$</span> which are converted into second invariants using the <code>Apparatus</code> variable that can be</li></ul><p>either <code>AxialCompression</code>, <code>SimpleShear</code> or <code>Invariant</code>. If the flow law paramters are already given as a function of second invariants, choose <code>Apparatus=Invariant</code>.</p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; x2 = DislocationCreep(n=3)
+DislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/CreepLaw/DislocationCreep.jl#L18-L42">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetDislocationCreep[&quot;Name of Dislocation Creep&quot;]</code></pre><p>Sets predefined dislocation creep data from a dictionary</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/CreepLaw/Data/DislocationCreep.jl#L2-L7">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DiffusionCreep(r = 0NoUnits, p = A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )</code></pre><p>Defines the flow law parameter of a dislocation creep law.</p><p>The (isotropic) diffusion creep law, as used by experimentalists, is given by  </p><p class="math-container">\[     \dot{\gamma} = A \sigma_\mathrm{d} d^{\mathrm{p}} f_\mathrm{H2O}^r \exp\left(-\frac{E+PV}{RT}\right)\]</p><p>where </p><ul><li><span>$r$</span> is the exponent of fugacity dependence </li><li><span>$p$</span> is the exponent of grain size</li><li><span>$A$</span> is a pre-exponential factor <span>$[\mathrm{MPa}^{-n}s^{-1}]$</span> (if manually defined, <span>$n$</span> and <span>$r$</span> must be either pre-defined or substituted) </li><li><span>$E$</span> is the activation energy <span>$\mathrm{[kJ/mol]}$</span> </li><li><span>$V$</span> is the activation volume <span>$\mathrm{[m^3/mol]}$</span> </li><li><span>$\dot{\gamma}$</span> is the strain rate <span>$\mathrm{[1/s]}$</span> </li><li><span>$\sigma_\mathrm{d}$</span> is the differential stress <span>$\mathrm{[MPa]}$</span></li></ul><p>The experimental paramaters are converted into second invariants using the <code>Apparatus</code> variable that can be either <code>AxialCompression</code>, <code>SimpleShear</code> or <code>Invariant</code>. If the flow law paramters are already given as a function of second invariants, choose <code>Apparatus=Invariant</code>.</p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; x2 = DiffusionCreep(Name=&quot;test&quot;)
+DiffusionCreep: Name = test, n=1.0, r=0.0, p=-3.0, A=1.5 m³·⁰ MPa⁻¹·⁰ s⁻¹·⁰, E=500.0 kJ mol⁻¹·⁰, V=2.4e-5 m³·⁰ mol⁻¹·⁰, FT=1.7320508075688772, FE=1.1547005383792517)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/CreepLaw/DiffusionCreep.jl#L23-L49">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetDiffusionCreep[&quot;Name of Diffusion Creep&quot;]</code></pre><p>This is a dictionary with pre-defined creep laws    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/CreepLaw/Data/DiffusionCreep.jl#L4-L7">source</a></section></article><h1 id="Computational-routines-for-creep-laws"><a class="docs-heading-anchor" href="#Computational-routines-for-creep-laws">Computational routines for creep laws</a><a id="Computational-routines-for-creep-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines-for-creep-laws" title="Permalink"></a></h1><p>Once a creep rheology is defined, we can use the following routines to perform computations within the solvers</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>CreepLawVariables</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_εII(a::DiffusionCreep, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)</code></pre><p>Returns diffusion creep strainrate as a function of 2nd invariant of the stress tensor <span>$\tau_{II}$</span> </p><p class="math-container">\[    \dot{ε}_{II} = A τ_{II}^n d^{p} f_{H_2O}^r \exp \left(- {{E + PV} \over RT} \right)\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/CreepLaw/DiffusionCreep.jl#L168-L177">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(s::ConstantElasticity{_T}, τII; τII_old, dt)</code></pre><p>Computes elastic strainrate given the deviatoric stress at the current (<code>τII</code>) and old timestep (<code>τII_old</code>), for a timestep <code>dt</code>:</p><p class="math-container">\[    \dot{\varepsilon}^{el} = {1 \over 2 G} {D \tau_{II} \over Dt } ≈ {1 \over 2 G} {\tau_{II}- \tilde{\tau}_{II}^{old} \over dt }\]</p><p>Note that we here solve the scalar equation, which is sufficient for isotropic cases. In tensor form, it would be</p><p class="math-container">\[    {\dot{\varepsilon}^{el}}_{ij} = {1 \over 2 G} { \tau_{ij} - \tilde{{\tau_{ij}}}^{old} \over dt }\]</p><p>here <span>$\tilde{{\tau_{ij}}}^{old}$</span> is the rotated old deviatoric stress tensor to ensure objectivity (this can be done with Jaumann derivative, or also by using the full rotational formula).</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Elasticity/Elasticity.jl#L88-L102">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(p::DruckerPrager{_T,U,U1}, λdot::_T, τII::_T,  P)</code></pre><p>This computes plastic strain rate invariant for a given <span>$λdot$</span></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Plasticity/DruckerPrager.jl#L126-L130">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(p::DruckerPrager_regularised{_T,U,U1}, λdot::_T, τII::_T,  P)</code></pre><p>This computes plastic strain rate invariant for a given <span>$λdot$</span></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Plasticity/DruckerPrager_regularised.jl#L129-L133">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::Parallel{T,N}, τII, args; tol=1e-6, verbose=false, n=1)</code></pre><p>Computing <code>εII</code> as a function of <code>τII</code> for a Parallel elements is (usually) a nonlinear problem</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/CompositeRheologies.jl#L148-L152">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::CompositeRheology{T,N}, τII, args; tol=1e-6, verbose=false, n=1)</code></pre><p>Computing <code>εII</code> as a function of <code>τII</code> for a composite element is the sum of the individual contributions</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/CompositeRheologies.jl#L163-L167">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::AbstractPlasticity, τII::_T, args; tol=1e-6, verbose=true)</code></pre><p>Performs local iterations to compute the plastic strainrate. Note that the non-plastic strainrate, ε_np, should be part of <code>args</code></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/CompositeRheologies.jl#L448-L452">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)</code></pre><p>Computes strainrate as a function of stress</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/CreepLaw/DiffusionCreep.jl#L202-L206">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, s::LinearViscous, TauII::AbstractArray{_T,N})</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/CreepLaw/CreepLaw.jl#L88-L91">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, s::ArrheniusType, TauII::AbstractArray{_T,N})</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/CreepLaw/CreepLaw.jl#L193-L196">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(ε_el::AbstractArray{_T,N}, s::ConstantElasticity{_T}; τII::AbstractArray{_T,N}, τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)</code></pre><p>In-place computation of the elastic shear strainrate for given deviatoric stress invariants at the previous (<code>τII_old</code>) and new (<code>τII</code>) timestep, as well as the timestep <code>dt</code>  </p><p class="math-container">\[    \dot{\varepsilon}^{el} = {1 \over 2 G} {D \tau_{II} \over Dt } ≈ {1 \over 2 G} {\tau_{II}- \tau_{II}^{old} \over dt }\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Elasticity/Elasticity.jl#L132-L141">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_τII(a::DislocationCreep, EpsII; P, T, f, args...)</code></pre><p>Computes the stress for a Dislocation creep law given a certain strain rate</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/CreepLaw/DislocationCreep.jl#L225-L230">source</a></section><section><div><pre><code class="nohighlight hljs">computeCreepLaw_TauII(EpsII::_T, a::DiffusionCreep; T::_T, P=zero(_T), f=one(_T), d=one(_T), kwargs...)</code></pre><p>Returns diffusion creep stress as a function of 2nd invariant of the strain rate </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/CreepLaw/DiffusionCreep.jl#L262-L266">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(s::LinearViscous, EpsII; kwargs...)</code></pre><p>Returns second invariant of the stress tensor given a 2nd invariant of strain rate tensor </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/CreepLaw/CreepLaw.jl#L114-L118">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(s::ArrheniusType, EpsII; kwargs...)</code></pre><p>Returns second invariant of the stress tensor given a 2nd invariant of strain rate tensor </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/CreepLaw/CreepLaw.jl#L221-L225">source</a></section><section><div><pre><code class="nohighlight hljs">τII = compute_τII(v::CompositeRheology{T,N}, εII, args; tol=1e-6, verbose=false)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/CompositeRheologies.jl#L216-L219">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_τII!(TauII::AbstractArray{_T,N}, a::DislocationCreep, EpsII::AbstractArray{_T,N}; 
+    P =       zero(TauII)::AbstractArray{_T,N}, 
+    T = ones(size(TauII))::AbstractArray{_T,N}, 
+    f = ones(size(TauII))::AbstractArray{_T,N})</code></pre><p>Computes the deviatoric stress invariant for a dislocation creep law</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/CreepLaw/DislocationCreep.jl#L261-L268">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII!(τII::AbstractArray{_T,N}, s::ConstantElasticity{_T}. ε_el::AbstractArray{_T,N}; τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)</code></pre><p>In-place update of the elastic stress for given deviatoric strainrate invariants and stres invariant at the old (<code>τII_old</code>) timestep, as well as the timestep <code>dt</code>  </p><p class="math-container">\[    \tau_{II} = 2 G dt \dot{\varepsilon}^{el} + \tau_{II}^{old}\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Elasticity/Elasticity.jl#L156-L165">source</a></section></article><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.CorrectionFactor</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.RemoveTensorCorrection</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../density/">« Density</a><a class="docs-footer-nextpage" href="../elasticity/">Elasticity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Saturday 22 October 2022 22:30">Saturday 22 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Density · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li class="is-active"><a class="tocitem" href>Density</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat 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href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Density</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Density</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/density.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Density"><a class="docs-heading-anchor" href="#Density">Density</a><a id="Density-1"></a><a class="docs-heading-anchor-permalink" href="#Density" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>The density equation of state can be specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.ConstantDensity" href="#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantDensity(ρ=2900kg/m^3)</code></pre><p>Set a constant density:</p><p class="math-container">\[    \rho  = cst\]</p><p>where <span>$\rho$</span> is the density [<span>$kg/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Density/Density.jl#L38-L46">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.PT_Density" href="#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)</code></pre><p>Set a pressure and temperature-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 (1.0 - \alpha (T-T_0) + \beta  (P-P_0) )  \]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference temperature <span>$T_0$</span> and pressure <span>$P_0$</span>, <span>$\alpha$</span> is the temperature dependence of density and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Density/Density.jl#L81-L90">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.Compressible_Density" href="#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)</code></pre><p>Set a pressure-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 \exp(β*(P - P\_0))  \]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference pressure <span>$P_0$</span> and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Density/Density.jl#L132-L140">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To evaluate density within a user routine, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density" href="#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_density(P,T, s::PhaseDiagram_LookupTable)</code></pre><p>Interpolates density as a function of <code>T,P</code> from a lookup table  </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Density/Density.jl#L180-L183">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density!" href="#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I&lt;:Integer}</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; MatParam = (SetMaterialParams(Name=&quot;Mantle&quot;, Phase=1,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                        Density   = PT_Density()
+                        ),
+                    SetMaterialParams(Name=&quot;Crust&quot;, Phase=2,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),
+                        Density   = ConstantDensity(ρ=2900kg/m^3))
+                  );
+julia&gt; Phases = ones(Int64,400,400);
+julia&gt; Phases[:,20:end] .= 2
+julia&gt; rho     = zeros(size(Phases))
+julia&gt; T       =  ones(size(Phases))
+julia&gt; P       =  ones(size(Phases))*10
+julia&gt; compute_density!(rho, MatParam, Phases, P, T)
+julia&gt; rho
+400×400 Matrix{Float64}:
+2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮                            
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0</code></pre><p>The routine is made to minimize allocations:</p><pre><code class="language-julia hljs">julia&gt; using BenchmarkTools
+julia&gt; @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)
+    203.468 μs (0 allocations: 0 bytes)</code></pre><p>_____________________________________________________________________________________________________________________________   </p><pre><code class="nohighlight hljs">compute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Density/Density.jl#L209-L273">source</a></section></article><p>Note that density values are usually not used in itself in the governing PDE&#39;s, but usually in combination with other parameters, such as <span>$\rho g$</span> or <span>$\rho c_p$</span>. the non-dimensional value of <span>$\rho$</span> may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../materialparameters/">« Material Parameters</a><a class="docs-footer-nextpage" href="../creeplaws/">Creep laws »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Saturday 22 October 2022 22:30">Saturday 22 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.1/man/elasticity/index.html b/v0.4.1/man/elasticity/index.html
new file mode 100644
index 000000000..1a8ad9331
--- /dev/null
+++ b/v0.4.1/man/elasticity/index.html
@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Elasticity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li class="is-active"><a class="tocitem" href>Elasticity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Implemented-laws"><span>Implemented laws</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Elasticity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Elasticity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/elasticity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Elasticity"><a class="docs-heading-anchor" href="#Elasticity">Elasticity</a><a id="Elasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Elasticity" title="Permalink"></a></h1><p>Elasticity is, in geodynamics, often used in combination with viscous and plastic rheology.</p><h1 id="Implemented-laws"><a class="docs-heading-anchor" href="#Implemented-laws">Implemented laws</a><a id="Implemented-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-laws" title="Permalink"></a></h1><p>We provide the following elastic constitutive relationships:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantElasticity(G, ν, K, E)</code></pre><p>Structure that holds parameters for constant, isotropic, linear elasticity.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Elasticity/Elasticity.jl#L26-L30">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetConstantElasticity(; G=nothing, ν=nothing, E=nothing, Kb=nothing)</code></pre><p>This allows setting elastic parameters by specifying 2 out of the 4 elastic parameters <code>G</code> (Elastic shear modulus), <code>ν</code> (Poisson&#39;s ratio), <code>E</code> (Young&#39;s modulus), or <code>Kb</code> (bulk modulus).</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Elasticity/Elasticity.jl#L42-L46">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>We can compute the elastic strainrate with:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_εII</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_εII!</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../creeplaws/">« Creep laws</a><a class="docs-footer-nextpage" href="../plasticity/">Plasticity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Saturday 22 October 2022 22:30">Saturday 22 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.1/man/geounit/index.html b/v0.4.1/man/geounit/index.html
new file mode 100644
index 000000000..503a0cbe6
--- /dev/null
+++ b/v0.4.1/man/geounit/index.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>GeoUnit · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li class="is-active"><a class="tocitem" href>GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>GeoUnit</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>GeoUnit</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/geounit.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="GeoUnit"><a class="docs-heading-anchor" href="#GeoUnit"><code>GeoUnit</code></a><a id="GeoUnit-1"></a><a class="docs-heading-anchor-permalink" href="#GeoUnit" title="Permalink"></a></h1><p>Most parameters have physical units (100km, 9.81 ms⁻²). Yet, within numerical solvers it is usually not a good idea to compute with the actual SI units as they (at least in geosciences) tend to result in very large/small numbers, which can cause in roundoff errors.  Therefore, we usually convert the dimensional units into non-dimensional ones befeore starting computations. The results can than be converted back to more convenient units for us when we generate the output (plots, for example).</p><p>This requires a way to store the dimensions of a parameter, but also, once they are made nondimensional, the original units (otherwise we can&#39;t convert them back to dimensional values).</p><p>For that reason, we use the <code>GeoUnit</code> structure, defined as </p><pre><code class="language-julia hljs">struct GeoUnit{T,U}
+    val          :: T
+    unit         :: U
+    isdimensional:: Bool
+end</code></pre><p>You can define a GeoUnit as:</p><pre><code class="language-julia hljs">julia&gt; a = GeoUnit(100km)
+GeoUnit{dimensional, km}, 
+100.0
+julia&gt; b=GeoUnit(100s)
+GeoUnit{dimensional, s}, 
+100.0</code></pre><p>Dividing the two gives the expected result</p><pre><code class="language-julia hljs">julia&gt; c=a/b
+GeoUnit{dimensional, km s⁻¹·⁰}, 
+1.0</code></pre><p>Can also be a vector:</p><pre><code class="language-julia hljs">julia&gt; T = GeoUnit(100K:10.0K:1000K)
+GeoUnit{dimensional, K}, 
+100.0:10.0:1000.0</code></pre><p>The numerical value is obtained with:</p><pre><code class="language-julia hljs">julia&gt; NumValue(c)
+1.0</code></pre><p>It&#39;s unit with</p><pre><code class="language-julia hljs">julia&gt; Unit(c)
+km s⁻¹·⁰</code></pre><p>and the value with unit with</p><pre><code class="language-julia hljs">julia&gt; Value(c)
+1.0 km s⁻¹·⁰</code></pre><p>If you multiply or divide a <code>GeoUnit</code> with a normal number, we assume that you are no longer interested in the units and you&#39;ll get a Float64:</p><pre><code class="language-julia hljs">julia&gt; c*100
+100.0</code></pre><p>The value of the <code>GeoUnit</code> struct becomes clear once we non-dimensionalize it (as explained in more detail in a separate page). For that, first specify which characteristic values you want to use for non-dimensionalisation: </p><pre><code class="language-julia hljs">julia&gt; CharDim = GEO_units(length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas);</code></pre><p>Let&#39;s define a stress:</p><pre><code class="language-julia hljs">julia&gt; σ=GeoUnit(10MPa)
+GeoUnit{dimensional, MPa}, 
+10.0</code></pre><p>And transfer it to nondimensional units:</p><pre><code class="language-julia hljs">julia&gt; σ_nd = nondimensionalize(σ,CharDim)
+GeoUnit{nondimensional, MPa}, 
+0.9999999999999998</code></pre><p>Instead of 1e7 Pa, we now have 1.0; yet at the same time we know that the original unit of σ_nd was in MPa, which allows to transfer it back to dimensional units:</p><pre><code class="language-julia hljs">julia&gt; dimensionalize(σ_nd,CharDim)
+GeoUnit{dimensional, MPa}, 
+10.0</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../">« Home</a><a class="docs-footer-nextpage" href="../nondimensionalize/">Nondimensionalization »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Saturday 22 October 2022 22:30">Saturday 22 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.1/man/gravity/index.html b/v0.4.1/man/gravity/index.html
new file mode 100644
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--- /dev/null
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@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Gravity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li class="is-active"><a class="tocitem" href>Gravity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Gravity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Gravity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/gravity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Gravitational-acceleration"><a class="docs-heading-anchor" href="#Gravitational-acceleration">Gravitational acceleration</a><a id="Gravitational-acceleration-1"></a><a class="docs-heading-anchor-permalink" href="#Gravitational-acceleration" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Gravitational acceleration is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">GravityConstant(g=9.81m/s^2)</code></pre><p>Set a constant value for the gravitational acceleration:</p><p class="math-container">\[    g  = 9.81 m s^{-2}\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/GravitationalAcceleration/GravitationalAcceleration.jl#L18-L25">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a> — <span class="docstring-category">Function</span></header><section><div><p>compute_gravity(s:&lt;AbstractGravity)</p><p>Returns the gravitational acceleration </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/GravitationalAcceleration/GravitationalAcceleration.jl#L59-L64">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../shearheating/">« Shear heating</a><a class="docs-footer-nextpage" href="../melting/">Partial Melting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Saturday 22 October 2022 22:30">Saturday 22 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.1/man/heatcapacity/index.html b/v0.4.1/man/heatcapacity/index.html
new file mode 100644
index 000000000..9f1a40725
--- /dev/null
+++ b/v0.4.1/man/heatcapacity/index.html
@@ -0,0 +1,16 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Heat Capacity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li class="is-active"><a class="tocitem" href>Heat Capacity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Heat Capacity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Heat Capacity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/heatcapacity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Heat-capacity"><a class="docs-heading-anchor" href="#Heat-capacity">Heat capacity</a><a id="Heat-capacity-1"></a><a class="docs-heading-anchor-permalink" href="#Heat-capacity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Heat capacity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity" href="#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantHeatCapacity(cp=1050J/mol/kg)</code></pre><p>Set a constant heat capacity:</p><p class="math-container">\[    cp  = cst\]</p><p>where <span>$cp$</span> is the thermal heat capacity [<span>$J/kg/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Energy/HeatCapacity.jl#L26-L34">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington" href="#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_HeatCapacity_Whittington()</code></pre><p>Sets a temperature-dependent heat capacity following the parameterization of Whittington et al. (2009), Nature:</p><p class="math-container">\[    Cp = (a + b T - c/T^2)/m \]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/kg/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <code>T</code>:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>molmass =   0.22178kg/mol </li></ul><p>Note that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than <span>$J/mol/K$</span> as in eq.3/4 of the paper)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Energy/HeatCapacity.jl#L59-L77">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">Cp = compute_heatcapacity(s:&lt;AbstractHeatCapacity, P, T)</code></pre><p>Returns the heat capacity <code>Cp</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the heat capacity laws implemented.</p><p>Currently available:</p><ul><li>ConstantHeatCapacity</li><li>T_HeatCapacity_Whittington</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia hljs">julia&gt; T  = (250:100:1250)*K;
+julia&gt; cp = T_HeatCapacity_Whittington()
+julia&gt; Cp = ComputeHeatCapacity(0,T,cp)
+11-element Vector{Unitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:
+  635.4269997294616 J kg⁻¹ K⁻¹
+  850.7470171764261 J kg⁻¹ K⁻¹
+  962.0959598489883 J kg⁻¹ K⁻¹
+ 1037.5420433770641 J kg⁻¹ K⁻¹
+ 1097.3517921966488 J kg⁻¹ K⁻¹
+ 1149.2745563671706 J kg⁻¹ K⁻¹
+ 1157.7915050948404 J kg⁻¹ K⁻¹
+ 1172.3554874197264 J kg⁻¹ K⁻¹
+ 1186.9194697445964 J kg⁻¹ K⁻¹
+  1201.483452069455 J kg⁻¹ K⁻¹
+ 1216.0474343943067 J kg⁻¹ K⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Energy/HeatCapacity.jl#L145-L175">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_heatcapacity!(Cp::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat})</code></pre><p>In-place computation of heat capacity <code>Cp</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Energy/HeatCapacity.jl#L197-L202">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plasticity/">« Plasticity</a><a class="docs-footer-nextpage" href="../conductivity/">Conductivity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Saturday 22 October 2022 22:30">Saturday 22 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.1/man/latentheat/index.html b/v0.4.1/man/latentheat/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Latent heat · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li class="is-active"><a class="tocitem" href>Latent heat</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Latent heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Latent heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/latentheat.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Latent-heat"><a class="docs-heading-anchor" href="#Latent-heat">Latent heat</a><a id="Latent-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Latent-heat" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Latent heat (of crystallisation) is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat" href="#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantLatentHeat(Q_L=400kJ/kg)</code></pre><p>Set a constant latent heat:</p><p class="math-container">\[    Q_L  = cst\]</p><p>where <span>$Q_L$</span> is the latent heat [<span>$kJ/kg$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Energy/LatentHeat.jl#L22-L30">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.LatentHeat.compute_latent_heat</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../conductivity/">« Conductivity</a><a class="docs-footer-nextpage" href="../radioactiveheating/">Radioactive heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Saturday 22 October 2022 22:30">Saturday 22 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.1/man/listfunctions/index.html b/v0.4.1/man/listfunctions/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>List of functions · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li class="is-active"><a class="tocitem" href>List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>List of functions</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>List of functions</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/listfunctions.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="List-of-all-functions"><a class="docs-heading-anchor" href="#List-of-all-functions">List of all functions</a><a id="List-of-all-functions-1"></a><a class="docs-heading-anchor-permalink" href="#List-of-all-functions" title="Permalink"></a></h1><p>This page details the some of the guidelines that should be followed when contributing to this package.</p><ul><li><a href="../nondimensionalize/#GeoParams.Units"><code>GeoParams.Units</code></a></li><li><a href="../strengthenvelope/#GeoParams.ConstTemp"><code>GeoParams.ConstTemp</code></a></li><li><a href="../strengthenvelope/#GeoParams.HalfspaceCoolTemp"><code>GeoParams.HalfspaceCoolTemp</code></a></li><li><a href="../strengthenvelope/#GeoParams.LinTemp"><code>GeoParams.LinTemp</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington</code></a></li><li><a href="../latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a></li><li><a href="../phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_4thOrder"><code>GeoParams.MeltingParam.MeltingParam_4thOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_5thOrder"><code>GeoParams.MeltingParam.MeltingParam_5thOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Assimilation"><code>GeoParams.MeltingParam.MeltingParam_Assimilation</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Quadratic"><code>GeoParams.MeltingParam.MeltingParam_Quadratic</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.SmoothMelting"><code>GeoParams.MeltingParam.SmoothMelting</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.TASclassificationData"><code>GeoParams.TASclassification.TASclassificationData</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.ZirconAgeData"><code>GeoParams.ZirconAges.ZirconAgeData</code></a></li><li><a href="../strengthenvelope/#GeoParams.CompTempStruct"><code>GeoParams.CompTempStruct</code></a></li><li><a href="../strengthenvelope/#GeoParams.LithPres"><code>GeoParams.LithPres</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_dϕdT"><code>GeoParams.MeltingParam.compute_dϕdT</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_dϕdT!"><code>GeoParams.MeltingParam.compute_dϕdT!</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a></li><li><a href="../phasediagrams/#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a></li><li><a href="../strengthenvelope/#GeoParams.StrengthEnvelopeComp"><code>GeoParams.StrengthEnvelopeComp</code></a></li><li><a href="../strengthenvelope/#GeoParams.StrengthEnvelopePlot"><code>GeoParams.StrengthEnvelopePlot</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.computeTASclassification"><code>GeoParams.TASclassification.computeTASclassification</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.retrieveTASrockType"><code>GeoParams.TASclassification.retrieveTASrockType</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.compute_zircon_age_PDF"><code>GeoParams.ZirconAges.compute_zircon_age_PDF</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.compute_zircons_Ttpath"><code>GeoParams.ZirconAges.compute_zircons_Ttpath</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.zircon_age_PDF"><code>GeoParams.ZirconAges.zircon_age_PDF</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a></li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plotting/">« Plotting</a><a class="docs-footer-nextpage" href="../contributing/">Contributing »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Saturday 22 October 2022 22:30">Saturday 22 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.1/man/materialparameters/index.html b/v0.4.1/man/materialparameters/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Material Parameters · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li class="is-active"><a class="tocitem" href>Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Material Parameters</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Material Parameters</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/materialparameters.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="MaterialParameters"><a class="docs-heading-anchor" href="#MaterialParameters">MaterialParameters</a><a id="MaterialParameters-1"></a><a class="docs-heading-anchor-permalink" href="#MaterialParameters" title="Permalink"></a></h1><p>Material properties for a given phase can be set with <code>SetMaterialParams</code>, whereas all properties are  stored in the <code>MaterialParams</code> structure. Information about the material parameter is found at <code>MaterialParamsInfo</code>. This can be employed </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParamsInfo" href="#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MaterialParamsInfo</code></pre><p>Structure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.</p><p>Usually used in combination with <code>param_info(the_parameter_of_interest)</code></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/MaterialParameters.jl#L22-L30">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SetMaterialParams" href="#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetMaterialParams(; Name::String=&quot;&quot;, Phase::Int64=1,
+                    Density             =   nothing, 
+                    Gravity             =   nothing,
+                    CreepLaws           =   nothing, 
+                    Elasticity          =   nothing, 
+                    Plasticity          =   nothing, 
+                    CompositeRheology   =   nothing,
+                    Conductivity        =   nothing, 
+                    HeatCapacity        =   nothing, 
+                    RadioactiveHeat     =   nothing,
+                    LatentHeat          =   nothing,
+                    ShearHeat           =   nothing,
+                    Melting             =   nothing,
+                    SeismicVelocity     =   nothing,
+                    CharDim::GeoUnits   =   nothing)</code></pre><p>Sets material parameters for a given phase. </p><p>If <code>CharDim</code> is specified the input parameters are non-dimensionalized.   Note that if <code>Density</code> is specified, we also set <code>Gravity</code> even if not explicitly listed</p><p><strong>Examples</strong></p><p>Define two viscous creep laws &amp; constant density:</p><pre><code class="language-julia-repl hljs">julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;,
+                       Density   = ConstantDensity(),
+                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))
+Phase 1 : Viscous Matrix
+        | [dimensional units]
+        | 
+        |-- Density           : Constant density: ρ=2900 kg m⁻³ 
+        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  
+        |                       Linear viscosity: η=1.0e21 Pa s</code></pre><p>Define two viscous creep laws &amp; P/T dependent density and nondimensionalize</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);
+julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;, Phase=33,
+                              Density   = PT_Density(),
+                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),
+                              CharDim   = CharUnits_GEO)
+Phase 33: Viscous Matrix
+        | [non-dimensional units]
+        | 
+        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0 
+        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18 
+        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001  
+        |                       Linear viscosity: η=10000.0 </code></pre><p>You can also create an array that holds several parameters:</p><pre><code class="language-julia-repl hljs">julia&gt; MatParam        =   Array{MaterialParams, 1}(undef, 2);
+julia&gt; Phase           =   1;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Upper Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                            Density  = ConstantDensity(ρ=2900kg/m^3));
+julia&gt; Phase           =   2;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Lower Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),
+                            Density  = PT_Density(ρ0=3000kg/m^3));
+julia&gt; MatParam
+2-element Vector{MaterialParams}:
+ Phase 1 : Upper Crust
+    | [dimensional units]
+    | 
+    |-- Density           : Constant density: ρ=2900 kg m⁻³ 
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  
+    |                       Linear viscosity: η=1.0e23 Pa s 
+                            
+ Phase 2 : Lower Crust
+    | [dimensional units]
+    | 
+    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa 
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹  
+    |                       Linear viscosity: η=1.0e21 Pa s </code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/MaterialParameters.jl#L96-L181">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParams" href="#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MaterialParams</code></pre><p>Structure that holds all material parameters for a given phase</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/MaterialParameters.jl#L56-L61">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../nondimensionalize/">« Nondimensionalization</a><a class="docs-footer-nextpage" href="../density/">Density »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Saturday 22 October 2022 22:30">Saturday 22 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.1/man/melting/index.html b/v0.4.1/man/melting/index.html
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class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li class="is-active"><a class="tocitem" href>Partial Melting</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Plotting-routines"><span>Plotting routines</span></a></li></ul></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Partial Melting</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Partial Melting</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/melting.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Melting-Parameterizations"><a class="docs-heading-anchor" href="#Melting-Parameterizations">Melting Parameterizations</a><a id="Melting-Parameterizations-1"></a><a class="docs-heading-anchor-permalink" href="#Melting-Parameterizations" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>A number of melting parameterisations are implemented, which can be set with:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Caricchi" href="#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Caricchi()</code></pre><p>Implements the T-dependent melting parameterisation used by Caricchi, Simpson et al. (as for example described in Simpson) </p><p class="math-container">\[    \theta = {(a - (T + c)) \over b} \]</p><p class="math-container">\[    \phi_{melt} = {1.0 \over (1.0 + e^\theta)}\]</p><p>Note that T is in Kelvin. As default parameters we employ:</p><p class="math-container">\[b=23K,  a=800K , c=273.15K\]</p><p>Which gives a reasonable fit to experimental data of granodioritic composition (Piwinskii and Wyllie, 1968):</p><p><img src="../assets/img/MeltingParam_Caricchi.png" alt="MeltParam_Carrichi"/></p><p><strong>References</strong></p><ul><li>Simpson G. (2017) Practical finite element modelling in Earth Sciences Using MATLAB.</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/MeltFraction/MeltingParameterization.jl#L32-L54">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_5thOrder" href="#GeoParams.MeltingParam.MeltingParam_5thOrder"><code>GeoParams.MeltingParam.MeltingParam_5thOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_5thOrder(a,b,c,d,e,f,T_s,T_l)</code></pre><p>Uses a 5th order polynomial to describe the melt fraction <code>phi</code> between solidus temperature <code>T_s</code> and liquidus temperature <code>T_l</code></p><p class="math-container">\[    \phi = a T^5 + b T^4 + c T^3 + d T^2 + e T + f  \textrm{   for   } T_s ≤ T ≤ T_l\]</p><p class="math-container">\[    \phi = 1  \textrm{   if   } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0  \textrm{   if   } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_5thorder.png" alt="MeltingParam_5thOrder"/></p><p>The default values are for a composite liquid-line-of-descent:</p><ul><li>the upper part is for Andesite from: (Blatter, D. L. &amp; Carmichael, I. S. (2001) Hydrous phase equilibria of a Mexican highsilica andesite: a candidate for a mantle origin? Geochim. Cosmochim. Acta 65, 4043–4065</li><li>the lower part is extrapolated to the granitic minimum using the Marxer &amp; Ulmer LLD for Andesite (Marxer, F. &amp; Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. <em>Contributions Mineral. Petrol.</em> 174, 84)</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/MeltFraction/MeltingParameterization.jl#L106-L127">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_4thOrder" href="#GeoParams.MeltingParam.MeltingParam_4thOrder"><code>GeoParams.MeltingParam.MeltingParam_4thOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_4thOrder(b,c,d,e,f,T_s,T_l)</code></pre><p>Uses a 4th order polynomial to describe the melt fraction <code>phi</code> between solidus temperature <code>T_s</code> and liquidus temperature <code>T_l</code></p><p class="math-container">\[    \phi = b T^4 + c T^3 + d T^2 + e T + f  \textrm{   for   } T_s ≤ T ≤ T_l\]</p><p class="math-container">\[    \phi = 1 \textrm{   if   } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0  \textrm{   if   } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_4thorder.png" alt="MeltingParam_4thOrder"/></p><p>The default values are for Tonalite experiments from Marxer and Ulmer (2019):</p><ul><li>Marxer, F. &amp; Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. <em>Contributions Mineral. Petrol.</em> 174, 84</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/MeltFraction/MeltingParameterization.jl#L191-L211">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Quadratic" href="#GeoParams.MeltingParam.MeltingParam_Quadratic"><code>GeoParams.MeltingParam.MeltingParam_Quadratic</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Quadratic(T_s,T_l)</code></pre><p>Quadratic melt fraction parameterisation where melt fraction <span>$\phi$</span> depends only on solidus (<span>$T_s$</span>) and liquidus (<span>$T_l$</span>) temperature:</p><p class="math-container">\[    \phi = 1.0 - \left( {T_l - T} \over {T_l - T_s} \right)^2\]</p><p class="math-container">\[    \phi = 1.0 \textrm{ if } T&gt;T_l \]</p><p class="math-container">\[    \phi = 0.0 \textrm{ if } T&lt;T_s \]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_Quadratic.png" alt="MeltingParam_Quadratic"/></p><p>This was used, among others, in Tierney et al. (2016) Geology</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/MeltFraction/MeltingParameterization.jl#L282-L301">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Assimilation" href="#GeoParams.MeltingParam.MeltingParam_Assimilation"><code>GeoParams.MeltingParam.MeltingParam_Assimilation</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Assimilation(T_s,T_l,a)</code></pre><p>Melt fraction parameterisation that takes the assimilation of crustal host rocks into account, as used by Tierney et al. (2016) based upon a parameterisation of Spera and Bohrson (2001)</p><p>Here, the fraction of molten and assimilated host rocks <span>$\phi$</span> depends on the solidus (<span>$T_s$</span>) and liquidus (<span>$T_l$</span>) temperatures of the rocks, as well as on a parameter <span>$a=0.005$</span></p><p class="math-container">\[    X = \left( {T - T_s} \over {T_l - T_s} \right)\]</p><p class="math-container">\[    \phi = a \cdot \left( \exp^{2ln(100)X} - 1.0 \right) \textrm{ if } X ≤ 0.5\]</p><p class="math-container">\[    \phi = 1- a \cdot \exp^{2ln(100)(1-X)}  \textrm{ if } X &gt; 0.5\]</p><p class="math-container">\[    \phi = 1.0 \textrm{ if } T&gt;T_l \]</p><p class="math-container">\[    \phi = 0.0 \textrm{ if } T&lt;T_s \]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_Assimilation.png" alt="MeltingParam_Assimilation"/></p><p>This was used, among others, in Tierney et al. (2016), who employed as default parameters:</p><p class="math-container">\[   T_s=973.15, T_l=1173.15, a=0.005\]</p><p><strong>References</strong></p><ul><li>Spera, F.J., and Bohrson, W.A., 2001, Energy-Constrained Open-System Magmatic Processes I: General Model and Energy-Constrained Assimilation and Fractional Crystallization (EC- AFC) Formulation: Journal of Petrology, v. 42, p. 999–1018.</li><li>Tierney, C.R., Schmitt, A.K., Lovera, O.M., de Silva, S.L., 2016. Voluminous plutonism during volcanic quiescence revealed by thermochemical modeling of zircon. Geology 44, 683–686. https://doi.org/10.1130/G37968.1</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/MeltFraction/MeltingParameterization.jl#L356-L391">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.SmoothMelting" href="#GeoParams.MeltingParam.SmoothMelting"><code>GeoParams.MeltingParam.SmoothMelting</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">SmoothMelting(; p=MeltingParam_4thOrder(), k_sol=0.2/K,  k_liq=0.2/K)</code></pre><p>This smoothens the melting parameterisation <span>$p$</span> around the solidus <span>$T_{sol}$</span> and liquidus <span>$T_{liq}$</span> using a smoothened Heaviside step functions for the solidus:</p><p class="math-container">\[    H_{sol} =  {1.0 \over { 1 + \exp( -2 k_{sol} (T - T_{sol} - {2 \over k_{sol}}) )  }}\]</p><p>and liquidus:        </p><p class="math-container">\[    H_{liq} =  1.0 - {1.0 \over { 1 + \exp( -2 k_{liq} (T - T_{liq} + {2 \over k_{liq}}) )  }}\]</p><p>The resulting melt fraction <span>$\phi$</span> is computed from the original melt fraction <span>$\phi_0$</span> (computed using one of the methods above) as:</p><p class="math-container">\[    \phi =  \phi_0 H_{sol} H_{liq} + 1.0 - H_{liq}\]</p><p>The width of the smoothening zones is controlled by <span>$k_{sol}, k_{liq}$</span> (larger values = sharper boundary).</p><p>This is important, as jumps in the derivative <span>$dϕ/dT$</span> can cause numerical instabilities in latent heat computations, which is prevented with this smoothening.</p><p><strong>Example</strong></p><p>Let&#39;s consider a 4th order parameterisation:</p><pre><code class="language-julia hljs">julia&gt; using GeoParams, Plots
+julia&gt; p = MeltingParam_4thOrder();
+julia&gt; T= collect(650.0:1:1050.) .+ 273.15;
+julia&gt; T,phi,dϕdT =  PlotMeltFraction(p,T=T);</code></pre><p>The same but with smoothening:</p><pre><code class="language-julia hljs">julia&gt; p_s = SmoothMelting(p=MeltingParam_4thOrder(), k_liq=0.21/K);
+4th order polynomial melting curve: phi = -7.594512597174117e-10T^4 + 3.469192091489447e-6T^3 + -0.00592352980926T^2 + 4.482855645604745T + -1268.730161921053  963.15 K ≤ T ≤ 1270.15 K with smooth Heaviside function smoothening using k_sol=0.1 K⁻¹·⁰, k_liq=0.11 K⁻¹·⁰
+julia&gt; T_s,phi_s,dϕdT_s =  PlotMeltFraction(p_s,T=T);</code></pre><p>We can create plots of this with:</p><pre><code class="language-julia hljs">julia&gt; plt1 = plot(T.-273.15, phi, ylabel=&quot;Melt Fraction ϕ&quot;, color=:red, label=&quot;original&quot;, xlabel=&quot;Temperature [C]&quot;)
+julia&gt; plt1 = plot(plt1, T.-273.15, phi_s,  color=:black, label=&quot;smoothened&quot;, legend=:bottomright)
+julia&gt; plt2 = plot(T.-273.15, dϕdT, ylabel=&quot;dϕ/dT&quot;, color=:red, label=&quot;original&quot;, xlabel=&quot;Temperature [C]&quot;)
+julia&gt; plt2 = plot(plt2, T.-273.15, dϕdT_s,  color=:black, label=&quot;smoothened&quot;, legend=:topright)
+julia&gt; plot!(plt1,plt2,   xlabel=&quot;Temperature [C]&quot;, layout=(2,1))</code></pre><p>The derivative no longer has a jump now:</p><p><img src="../assets/img/MeltingParam_Smooth.png" alt="MeltingParam_Smooth"/></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/MeltFraction/MeltingParameterization.jl#L474-L525">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute the melt fraction at given <code>T</code> and <code>P</code>, use:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction!" href="#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_meltfraction!(ϕ::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T:AbstractArray{&lt;:AbstractFloat}, p::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/MeltFraction/MeltingParameterization.jl#L622-L626">source</a></section><section><div><pre><code class="nohighlight hljs">compute_meltfraction(ϕ::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/MeltFraction/MeltingParameterization.jl#L709-L713">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction" href="#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_meltfraction(P,T, p::AbstractPhaseDiagramsStruct)</code></pre><p>Computes melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/MeltFraction/MeltingParameterization.jl#L610-L614">source</a></section><section><div><pre><code class="nohighlight hljs">ϕ = compute_meltfraction(Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/MeltFraction/MeltingParameterization.jl#L702-L706">source</a></section></article><p>You can also obtain the derivative of melt fraction versus temperature with (useful to compute latent heat effects):</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_dϕdT!" href="#GeoParams.MeltingParam.compute_dϕdT!"><code>GeoParams.MeltingParam.compute_dϕdT!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_dϕdT!(ϕ::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computates the derivative of melt fraction <code>ϕ</code> versus temperature <code>T</code>, <span>${\partial \phi} \over {\partial T}$</span> for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This is employed, for example, in computing latent heat terms in an implicit manner.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/MeltFraction/MeltingParameterization.jl#L724-L729">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_dϕdT" href="#GeoParams.MeltingParam.compute_dϕdT"><code>GeoParams.MeltingParam.compute_dϕdT</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_dϕdT(P,T, p::AbstractPhaseDiagramsStruct)</code></pre><p>Computes derivative of melt fraction vs T in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified. The derivative is computed by finite differencing.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/MeltFraction/MeltingParameterization.jl#L629-L634">source</a></section><section><div><pre><code class="nohighlight hljs">ϕ = compute_dϕdT(Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computates the derivative of melt fraction ϕ versus temperature <code>T</code> for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This is employed in computing latent heat terms in an implicit manner, for example</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/MeltFraction/MeltingParameterization.jl#L716-L721">source</a></section></article><p>Also note that phase diagrams can be imported using <code>PerpleX_LaMEM_Diagram</code>, which may also have melt content information.  The computational routines work with that as well.</p><h1 id="Plotting-routines"><a class="docs-heading-anchor" href="#Plotting-routines">Plotting routines</a><a id="Plotting-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting-routines" title="Permalink"></a></h1><p>You can use the routine <code>PlotMeltFraction</code> to create a plot, provided that the <code>Plots</code> package has been loaded</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotMeltFraction</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../gravity/">« Gravity</a><a class="docs-footer-nextpage" href="../TASclassification/">TAS classification »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Saturday 22 October 2022 22:30">Saturday 22 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Nondimensionalization · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Nondimensionalization</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Nondimensionalization</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/nondimensionalize.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Nondimensionalization"><a class="docs-heading-anchor" href="#Nondimensionalization">Nondimensionalization</a><a id="Nondimensionalization-1"></a><a class="docs-heading-anchor-permalink" href="#Nondimensionalization" title="Permalink"></a></h1><p>Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between <code>GEO</code>, <code>SI</code> or <code>NO</code> units:</p><ul><li><code>SI</code> units assume all input and output is in <code>SI</code> units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).</li><li><code>GEO</code> units uses <code>SI</code> units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as <code>Myrs</code>,<code>km</code> or <code>MPa</code></li><li><code>NO</code> units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that <code>velocity</code> is given in <code>m/s</code>).</li></ul><p>A dimensional parameter can be transformed into a non-dimensional one with <code>nondimensionalize</code>.</p><h1 id="Specify-characteristic-values"><a class="docs-heading-anchor" href="#Specify-characteristic-values">Specify characteristic values</a><a id="Specify-characteristic-values-1"></a><a class="docs-heading-anchor-permalink" href="#Specify-characteristic-values" title="Permalink"></a></h1><p>Characteristic values can be defined in 3 ways.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units" href="#GeoParams.Units"><code>GeoParams.Units</code></a> — <span class="docstring-category">Module</span></header><section><div><pre><code class="language-julia hljs">This provides units and creates a non-dimensionalization object</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Units.jl#L1-L3">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.AbstractGeoUnit" href="#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><p>AbstractGeoUnit</p><p>Abstract supertype for geo units.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Units.jl#L96-L100">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnit" href="#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.
+
+Having that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.
+With the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Units.jl#L110-L117">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnits" href="#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">GeoUnits
+
+Structure that holds parameters used for non-dimensionalization</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Units.jl#L290-L294">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GEO_units" href="#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)</code></pre><p>Creates a non-dimensionalization object using GEO units.</p><p>GEO units implies that upon dimensionalization, <code>time</code> will be in <code>Myrs</code>, <code>length</code> in <code>km</code>, stress in <code>MPa</code>, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (<code>km</code> or <code>m</code>), provided the unit is specified.</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = GEO_units()
+Employing GEO units 
+Characteristic values: 
+         length:      1000 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C
+julia&gt; CharUnits.velocity
+1.0e-7 m s⁻¹</code></pre><p>If we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic <code>length</code>:</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = GEO_units(length=10km)
+Employing GEO units 
+Characteristic values: 
+         length:      10 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Units.jl#L342-L373">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.SI_units" href="#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)</code></pre><p>Specify the characteristic values using SI units </p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = SI_units(length=1000m)
+Employing SI units 
+Characteristic values: 
+         length:      1000 m
+         time:        1.0e19 s
+         stress:      10 Pa
+         temperature: 1000.0 K</code></pre><p>Note that the same can be achieved if the input is given in <code>km</code>:</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = SI_units(length=1km)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Units.jl#L412-L431">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.NO_units" href="#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)</code></pre><p>Specify the characteristic values in non-dimensional units</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GeoParams;
+julia&gt; CharUnits = NO_units()
+Employing NONE units 
+Characteristic values: 
+         length:      1
+         time:        1.0 
+         stress:      1
+         temperature: 1.0</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Units.jl#L470-L486">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_val" href="#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia hljs">This unpacks the numerical value of `GeoUnit` in a structure, without the units.
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_val ρ,α = r
+julia&gt; α
+4.0e-5
+julia&gt; typeof(α)
+Float64</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/unpack.jl#L4-L23">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_units" href="#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia hljs">This unpacks the numerical value with units of `GeoUnit` parameters in a structure
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_units ρ,α = r
+julia&gt; α
+4.0e-5 K⁻¹·⁰
+julia&gt; typeof(α)
+Quantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/unpack.jl#L46-L65">source</a></section></article><h1 id="(Non)-dimensionalize-parameters"><a class="docs-heading-anchor" href="#(Non)-dimensionalize-parameters">(Non)-dimensionalize parameters</a><a id="(Non)-dimensionalize-parameters-1"></a><a class="docs-heading-anchor-permalink" href="#(Non)-dimensionalize-parameters" title="Permalink"></a></h1><p>Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.nondimensionalize" href="#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">nondimensionalize(param, CharUnits::GeoUnits{TYPE})</code></pre><p>Nondimensionalizes <code>param</code> using the characteristic values specified in <code>CharUnits</code></p><p><strong>Example 1</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GeoParams;
+julia&gt; CharUnits =   GEO_units();
+julia&gt; v         =   3cm/yr
+3 cm yr⁻¹ 
+julia&gt; v_ND      =   nondimensionalize(v, CharUnits) 
+0.009506426344208684</code></pre><p><strong>Example 2</strong></p><p>In geodynamics one sometimes encounters more funky units</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits =   GEO_units();
+julia&gt; A         =   6.3e-2MPa^-3.05*s^-1
+0.063 MPa⁻³·⁰⁵ s⁻¹
+julia&gt; A_ND      =   nondimensionalize(A, CharUnits) 
+7.068716262102384e14</code></pre><p>In case you are interested to see how the units of <code>A</code> look like in different units, use this function from the <a href="https://github.com/PainterQubits/Unitful.jl">Unitful</a> package:</p><pre><code class="language-julia-repl hljs">julia&gt; uconvert(u&quot;Pa^-3.05*s^-1&quot;,A) 
+3.157479571851836e-20 Pa⁻³·⁰⁵</code></pre><p>and to see it decomposed in the basic <code>SI</code> units of length, mass and time:</p><pre><code class="language-julia-repl hljs">julia&gt; upreferred(A)
+3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Units.jl#L520-L554">source</a></section><section><div><pre><code class="nohighlight hljs">MatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Non-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Units.jl#L608-L613">source</a></section><section><div><pre><code class="nohighlight hljs">nondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>nondimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Units.jl#L657-L661">source</a></section><section><div><pre><code class="nohighlight hljs">MatParam_ND = nondimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)</code></pre><p>Non-dimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Units.jl#L695-L700">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.dimensionalize" href="#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes <code>param</code> into the dimensions <code>param_dim</code> using the characteristic values specified in <code>CharUnits</code>.  </p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits =   GEO_units();
+julia&gt; v_ND      =   nondimensionalize(3cm/yr, CharUnits) 
+0.031688087814028945
+julia&gt; v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) 
+3.0 cm yr⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Units.jl#L706-L720">source</a></section><section><div><pre><code class="nohighlight hljs">dimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Units.jl#L741-L746">source</a></section><section><div><pre><code class="nohighlight hljs">Dimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>Dimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Units.jl#L766-L770">source</a></section><section><div><pre><code class="nohighlight hljs">dimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)</code></pre><p>dimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Units.jl#L791-L796">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.isDimensional" href="#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">isDimensional(MatParam::AbstractMaterialParam)</code></pre><p><code>true</code> if MatParam is in dimensional units.    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Units.jl#L801-L805">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../geounit/">« GeoUnit</a><a class="docs-footer-nextpage" href="../materialparameters/">Material Parameters »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Saturday 22 October 2022 22:30">Saturday 22 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.1/man/phasediagrams/index.html b/v0.4.1/man/phasediagrams/index.html
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+++ b/v0.4.1/man/phasediagrams/index.html
@@ -0,0 +1,12 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Phase Diagrams · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li class="is-active"><a class="tocitem" href>Phase Diagrams</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Perple_X"><span>Perple_X</span></a></li></ul></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Phase Diagrams</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Phase Diagrams</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/phasediagrams.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Phase-Diagrams"><a class="docs-heading-anchor" href="#Phase-Diagrams">Phase Diagrams</a><a id="Phase-Diagrams-1"></a><a class="docs-heading-anchor-permalink" href="#Phase-Diagrams" title="Permalink"></a></h1><p>It is possible to employ phase diagrams as lookup tables, which can be used to compute density, melt fraction or seismic properties, for example. </p><h1 id="Perple_X"><a class="docs-heading-anchor" href="#Perple_X">Perple_X</a><a id="Perple_X-1"></a><a class="docs-heading-anchor-permalink" href="#Perple_X" title="Permalink"></a></h1><p>A popular way to compute phase diagrams (pseudosections) for a given (fixed) chemical composition as a function of pressure and temperature is by using <a href="https://www.perplex.ethz.ch">Perple_X</a>. Once a stable assemblage is computed, through Gibbs energy minimisation, it allows you to output a large number of properties such as density, melt fraction or seismic velocities.</p><p>Within GeoParams, we can import this diagram (provided it is formatted in the same manner as <code>LaMEM</code> expects <code>Perple_X</code> input to be).</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PerpleX_LaMEM_Diagram" href="#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">PD_Data = PerpleX_LaMEM_Diagram(fname::String; CharDim = nothing)</code></pre><p>Reads a precomputed phase diagram in the <code>LaMEM/Perple_X</code> format (which is a phase diagram computed using <code>Perple_X</code>, but formatted in a manner that is readable using LaMEM). The data is stored in the <code>PhaseDiagram_LookupTable</code> structure.</p><p>If the <code>CharDim</code> object is specified, the values of all diagrams will be non-dimensionalized.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; PD_Data = PerpleX_LaMEM_Diagram(&quot;./test_data/Peridotite.in&quot;)
+Perple_X/LaMEM Phase Diagram Lookup Table: 
+                      File    :   ./test_data/Peridotite.in
+                      T       :   293.0 - 1573.000039
+                      P       :   1.0e7 - 2.9999999944e9
+                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp
+                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs
+                                  :Vp, :Vs, :VpVs</code></pre><p>Once imported, the properties on the diagram can be interpolated in a simple manner:</p><pre><code class="nohighlight hljs">julia&gt; PD_Data.Rho(1500,1e7)
+3042.836820256982</code></pre><p>This also works for vectors or arrays:</p><pre><code class="language-julia hljs">julia&gt; T = [1500 1800; 1233 1300]
+julia&gt; P = [1e8 1e9; 1e7 1e7]
+julia&gt; rho = PD_Data.Rho.(T,P)</code></pre><p>(Note the dot <code>.</code> in front of the bracket while evaluating arrays).</p><p>The fields that are available depend on what is listed in the diagram file.  The units of the fields are automatically evaluated, and employed to non-dimensionalize the parameters if <code>CharDim</code> is specified. </p><p><strong>Algorithm</strong></p><p>Internally, we employ linear interpolation, as provided by the <a href="https://github.com/JuliaMath/Interpolations.jl">Interpolations.jl</a> package. Values outside the range of the diagram are set to the boundary of the diagram. The interpolation object is directly encoded in the <code>PhaseDiagram_LookupTable</code>` object.  </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/PhaseDiagrams/PhaseDiagrams.jl#L44-L85">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable" href="#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Contains data of a Phase Diagram that is regularly spaced in P &amp; T</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/PhaseDiagrams/PhaseDiagrams.jl#L14-L16">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../zirconages/">« Zircon Ages</a><a class="docs-footer-nextpage" href="../seismicvelocity/">Seismic Velocity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Saturday 22 October 2022 22:30">Saturday 22 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.1/man/plasticity/index.html b/v0.4.1/man/plasticity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Plasticity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li class="is-active"><a class="tocitem" href>Plasticity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Implemented-laws"><span>Implemented  laws</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Plasticity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Plasticity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/plasticity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Plasticity"><a class="docs-heading-anchor" href="#Plasticity">Plasticity</a><a id="Plasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Plasticity" title="Permalink"></a></h1><p>Plasticity is a non;linear rheology bthat is actrivated once stresses exceed a certain yield criteria.</p><h1 id="Implemented-laws"><a class="docs-heading-anchor" href="#Implemented-laws">Implemented  laws</a><a id="Implemented-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-laws" title="Permalink"></a></h1><p>The following plastic law are implemented:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.Plasticity.DruckerPrager</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.Plasticity.DruckerPrager_regularised</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>Usually, plasticity should be defined as part of a <code>CompositeRheology</code> structure and calculations can be done as with all other rheology computations by using <code>compute_τII</code>.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../elasticity/">« Elasticity</a><a class="docs-footer-nextpage" href="../heatcapacity/">Heat Capacity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Saturday 22 October 2022 22:30">Saturday 22 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.1/man/plotting/index.html b/v0.4.1/man/plotting/index.html
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--- /dev/null
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Plotting · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li class="is-active"><a class="tocitem" href>Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Plotting</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Plotting</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/plotting.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Plotting"><a class="docs-heading-anchor" href="#Plotting">Plotting</a><a id="Plotting-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting" title="Permalink"></a></h1><p>We provide a number of plotting routines. Note that these plotting routines only become available once the <code>GLMakie</code> package is loaded.</p><h3 id="Plot-CreepLaws"><a class="docs-heading-anchor" href="#Plot-CreepLaws">Plot CreepLaws</a><a id="Plot-CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#Plot-CreepLaws" title="Permalink"></a></h3><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotStressStrainrate_CreepLaw</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotHeatCapacity</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotConductivity</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotMeltFraction</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotPhaseDiagram</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../strengthenvelope/">« 1D Strength Envelope</a><a class="docs-footer-nextpage" href="../listfunctions/">List of functions »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Saturday 22 October 2022 22:30">Saturday 22 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.1/man/radioactiveheating/index.html b/v0.4.1/man/radioactiveheating/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Radioactive heat · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li class="is-active"><a class="tocitem" href>Radioactive heat</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Radioactive heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Radioactive heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/radioactiveheating.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Radioactive-heat"><a class="docs-heading-anchor" href="#Radioactive-heat">Radioactive heat</a><a id="Radioactive-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Radioactive-heat" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Radioactive heat sources are defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat" href="#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)</code></pre><p>Set a constant radioactive heat:</p><p class="math-container">\[    H_r  = cst\]</p><p>where <span>$H_r$</span> is the radioactive heat source [<span>$Watt/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Energy/RadioactiveHeat.jl#L23-L31">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat" href="#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ExpDepthDependent(H_0=1e-6Watt/m^3, h_r=10e3m, z_0=0m)</code></pre><p>Sets an exponential depth-dependent radioactive </p><p class="math-container">\[    H_r  = H_0 \exp \left( {- {(z - z_0) \over h_r}} \right)\]</p><p>where <span>$H_0$</span> is the radioactive heat source [<span>$Watt/m^3$</span>] at <span>$z=z_0$</span> which decays with depth over a characteristic distance <span>$h_r$</span>.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Energy/RadioactiveHeat.jl#L63-L71">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat!</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../latentheat/">« Latent heat</a><a class="docs-footer-nextpage" href="../shearheating/">Shear heating »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Saturday 22 October 2022 22:30">Saturday 22 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.1/man/seismicvelocity/index.html b/v0.4.1/man/seismicvelocity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Seismic Velocity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li class="is-active"><a class="tocitem" href>Seismic Velocity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-velocity-correction-for-partial-melt"><span>Seismic velocity correction for partial melt</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-2"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-2"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity"><span>Seismic S-wave velocity correction for (shallow depth) porosity</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-3"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-3"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-velocity-correction-for-anelasticity"><span>Seismic velocity correction for anelasticity</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-4"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-4"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Seismic Velocity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Seismic Velocity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/seismicvelocity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Seismic-velocity"><a class="docs-heading-anchor" href="#Seismic-velocity">Seismic velocity</a><a id="Seismic-velocity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Seismic velocity can specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity" href="#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)</code></pre><p>Set a constant seismic P and S-wave velocity:</p><p class="math-container">\[    V_p = cst\]</p><p class="math-container">\[    V_s = cst\]</p><p>where <span>$V_p, V_s$</span> are the P-wave and S-wave velocities [<span>$km/s$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/SeismicVelocity/SeismicVelocity.jl#L35-L46">source</a></section></article><p>In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.</p><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To evaluate seismic velocity within a user routine, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_swave_velocity!</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_pwave_velocity!</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_pwave_velocity</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_swave_velocity</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-velocity-correction-for-partial-melt"><a class="docs-heading-anchor" href="#Seismic-velocity-correction-for-partial-melt">Seismic velocity correction for partial melt</a><a id="Seismic-velocity-correction-for-partial-melt-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity-correction-for-partial-melt" title="Permalink"></a></h1><h1 id="Methods-2"><a class="docs-heading-anchor" href="#Methods-2">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-2" title="Permalink"></a></h1><p>The routine uses the reduction formulation of Clark et al., (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.</p><h1 id="Computational-routines-2"><a class="docs-heading-anchor" href="#Computational-routines-2">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-2" title="Permalink"></a></h1><p>To compute melt-content based correction for seismic waves velocities, you can use:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.melt_correction</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity"><a class="docs-heading-anchor" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity">Seismic S-wave velocity correction for (shallow depth) porosity</a><a id="Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity" title="Permalink"></a></h1><h1 id="Methods-3"><a class="docs-heading-anchor" href="#Methods-3">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-3" title="Permalink"></a></h1><p>Ths routine is based on the equilibrium geometry model for the solid skeleton of Takei et al. (1998) and the porosity-depth empirical relationship of Chen et al. (2020)</p><h1 id="Computational-routines-3"><a class="docs-heading-anchor" href="#Computational-routines-3">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-3" title="Permalink"></a></h1><p>To compute porosity based correction for seismic S-wave velocity, you can use:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.porosity_correction</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-velocity-correction-for-anelasticity"><a class="docs-heading-anchor" href="#Seismic-velocity-correction-for-anelasticity">Seismic velocity correction for anelasticity</a><a id="Seismic-velocity-correction-for-anelasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity-correction-for-anelasticity" title="Permalink"></a></h1><h1 id="Methods-4"><a class="docs-heading-anchor" href="#Methods-4">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-4" title="Permalink"></a></h1><p>The routine uses the reduction formulation of karato (1993), using the quality factor formulation from Behn et al. (2009)</p><h1 id="Computational-routines-4"><a class="docs-heading-anchor" href="#Computational-routines-4">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-4" title="Permalink"></a></h1><p>To compute a correction of S-wave velocity for anelasticity, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction" href="#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">    Vs_anel = anelastic_correction(water::Int64, Vs0::Float64,P::Float64,T::Float64)</code></pre><p>This routine computes a correction of S-wave velocity for anelasticity</p><p><strong>Input:</strong></p><ul><li><code>water</code>: water flag, 0 = dry; 1 = dampened; 2 = water saturated </li><li><code>Vs0</code>  : S-wave velocitiy of the solid phase (with or without melt correction)</li><li><code>P</code>    : pressure given in Pa</li><li><code>T</code>    : temperature given in °K</li></ul><p><strong>Output:</strong></p><ul><li><code>Vs_anel</code> : corrected S-wave velocity for anelasticity</li></ul><p>The routine uses the reduction formulation of Karato (1993), using the quality factor formulation from Behn et al. (2009)</p><p><strong>References:</strong></p><ul><li><p>Karato, S. I. (1993). Importance of anelasticity in the interpretation of seismic tomography. Geophysical research letters, 20(15), 1623-1626.</p></li><li><p>Behn, M. D., Hirth, G., &amp; Elsenbeck II, J. R. (2009). Implications of grain size evolution on the seismic structure of the oceanic upper mantle. Earth and Planetary Science Letters, 282(1-4), 178-189.</p></li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/SeismicVelocity/SeismicVelocity.jl#L354-L381">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../phasediagrams/">« Phase Diagrams</a><a class="docs-footer-nextpage" href="../strengthenvelope/">1D Strength Envelope »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Saturday 22 October 2022 22:30">Saturday 22 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.1/man/shearheating/index.html b/v0.4.1/man/shearheating/index.html
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Shear heating · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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class="is-active"><a class="tocitem" href>Shear heating</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Shear heating</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Shear heating</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/shearheating.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Shear-heating"><a class="docs-heading-anchor" href="#Shear-heating">Shear heating</a><a id="Shear-heating-1"></a><a class="docs-heading-anchor-permalink" href="#Shear-heating" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Heat caused by non-recoverable deformation can be specified in </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.ConstantShearheating" href="#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantShearheating(Χ=0.0NoUnits)</code></pre><p>Set the shear heating efficiency [0-1] parameter</p><p class="math-container">\[Χ  = cst\]</p><p>where <span>$\Chi$</span> is the shear heating efficiency [NoUnits]</p><p>Shear heating is computed as</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}(\dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Energy/Shearheating.jl#L22-L36">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">H_s = compute_shearheating(s:&lt;AbstractShearheating, τ, ε, ε_el)</code></pre><p>Computes the shear heating source term</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Energy/Shearheating.jl#L79-L94">source</a></section><section><div><pre><code class="nohighlight hljs">H_s = ComputeShearheating(s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij} \]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Energy/Shearheating.jl#L97-L110">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating!" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_shearheating!(H_s, s:&lt;AbstractShearheating,  τ, ε, ε_el)</code></pre><p>Computes the shear heating source term in-place</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul><p><em>NOTE:</em> The shear heating terms require the full deviatoric stress &amp; strain rate tensors, i.e.:</p><p class="math-container">\[2D: \tau_{ij} = \left(   
+                \begin{matrix}
+                    \tau_{xx} &amp; \tau_{xz} \\
+                    \tau_{zx} &amp; \tau_{zz} 
+                \end{matrix} 
+            \right)\]</p><p>Since <span>$\tau_{zx}=\tau_{xz}$</span>, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used! </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Energy/Shearheating.jl#L115-L142">source</a></section><section><div><pre><code class="nohighlight hljs">compute_shearheating!(H_s, s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term <code>H_s</code> in-place when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij} \]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/Energy/Shearheating.jl#L145-L158">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../radioactiveheating/">« Radioactive heat</a><a class="docs-footer-nextpage" href="../gravity/">Gravity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Saturday 22 October 2022 22:30">Saturday 22 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.1/man/strengthenvelope/index.html b/v0.4.1/man/strengthenvelope/index.html
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>1D Strength Envelope · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>1D Strength Envelope</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>1D Strength Envelope</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/strengthenvelope.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="D-Strength-envelope"><a class="docs-heading-anchor" href="#D-Strength-envelope">1D Strength envelope</a><a id="D-Strength-envelope-1"></a><a class="docs-heading-anchor-permalink" href="#D-Strength-envelope" title="Permalink"></a></h1><p>We provide a routine for computing a 1D strength envelope and the tools for setting up a temperature structure and lithostatic pressure profile.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ConstTemp" href="#GeoParams.ConstTemp"><code>GeoParams.ConstTemp</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstTemp(T=1000)</code></pre><p>Sets a constant temperature inside the box</p><p>Parameters:</p><ul><li>T : the value</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/StrengthEnvelope/StrengthEnvelope.jl#L8-L15">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.LinTemp" href="#GeoParams.LinTemp"><code>GeoParams.LinTemp</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">LinTemp(Ttop=0, Tbot=1000)</code></pre><p>Sets a linear temperature structure from top to bottom</p><p>Parameters:</p><ul><li>Ttop: the value @ the top</li><li>Tbot: the value @ the bottom</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/StrengthEnvelope/StrengthEnvelope.jl#L33-L41">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.HalfspaceCoolTemp" href="#GeoParams.HalfspaceCoolTemp"><code>GeoParams.HalfspaceCoolTemp</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">HalfspaceCoolTemp(Tsurface=0, Tmantle=1350, Age=60, Adiabat=0)</code></pre><p>Sets a halfspace temperature structure in plate</p><p>Parameters:</p><ul><li>Tsurface: surface temperature [C]</li><li>Tmantle:  mantle temperature [C]</li><li>Age:      Thermal Age of plate [Myrs]</li><li>Adiabat:  Mantle Adiabat [K/km]</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/StrengthEnvelope/StrengthEnvelope.jl#L57-L67">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.CompTempStruct" href="#GeoParams.CompTempStruct"><code>GeoParams.CompTempStruct</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CompTempStruct(Z, s::AbstractTempStruct)</code></pre><p>Returns a temperature vector that matches the coordinate vector and temperature structure that were passed in</p><p>Parameters:</p><ul><li>Z: vector with depth coordinates</li><li>s: Temperature structure (CostTemp, LinTemp, HalfspaceCoolTemp)</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/StrengthEnvelope/StrengthEnvelope.jl#L21-L29">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.LithPres" href="#GeoParams.LithPres"><code>GeoParams.LithPres</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">LithPres(MatParam, Phases, ρ, T, dz, g)</code></pre><p>Iteratively solves a 1D lithostatic pressure profile (compatible with temperature- and pressure-dependent densities)</p><p>Parameters:</p><ul><li>MatParam: a tuple of materials (including the following properties: Phase, Density)</li><li>Phases:   vector with the distribtion of phases</li><li>ρ:        density vector for initial guess(can be zeros)</li><li>T:        temperature vector</li><li>dz:       grid spacing</li><li>g:        gravitational accelaration</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/StrengthEnvelope/StrengthEnvelope.jl#L89-L101">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.StrengthEnvelopeComp" href="#GeoParams.StrengthEnvelopeComp"><code>GeoParams.StrengthEnvelopeComp</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">StrengthEnvelopeComp(MatParam::NTuple{N, AbstractMaterialParamsStruct}, Thickness::Vector{U}, TempType::AbstractTempStruct=LinTemp(0C, 800C), ε=1e-15/s, nz::Int64=101) where {N, U}</code></pre><p>Calculates a 1D strength envelope. Pressure used for Drucker Prager plasticity is lithostatic. To visualize the results in a GUI, use StrengthEnvelopePlot.</p><p>Parameters:</p><ul><li>MatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)</li><li>Thickness: a vector listing the thicknesses of the respective layers (should carry units)</li><li>TempType:  the type of temperature profile (ConstTemp(), LinTemp(), HalfspaceCoolTemp())</li><li>ε:         background strainrate</li><li>nz:        optional argument controlling the number of points along the profile (default = 101)</li></ul><p><strong>Example:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GLMakie
+julia&gt; MatParam = (SetMaterialParams(Name=&quot;UC&quot;, Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(&quot;Wet Quartzite | Ueda et al. (2008)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;MC&quot;, Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(&quot;Plagioclase An75 | Ji and Zhao (1993)&quot;), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;LC&quot;, Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(&quot;Maryland strong diabase | Mackwell et al. (1998)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));
+julia&gt; Thickness = [15,10,15]*km;
+
+julia&gt; StrengthEnvelopeComp(MatParam, Thickness, LinTemp(), ε=1e-15/s)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/StrengthEnvelope/StrengthEnvelope.jl#L165-L187">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.StrengthEnvelopePlot" href="#GeoParams.StrengthEnvelopePlot"><code>GeoParams.StrengthEnvelopePlot</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">StrengthEnvelopePlot(MatParam, Thickness; TempType, nz)</code></pre><p>Requires GLMakie</p><p>Creates a GUI that plots a 1D strength envelope. In the GUI, temperature profile and strain rate can be adjusted. The Drucker-Prager plasticity uses lithostatic pressure.</p><p>Parameters:</p><ul><li>MatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)</li><li>Thickness: a vector listing the thicknesses of the respective layers (should carry units)</li><li>TempType:  the type of temperature profile (LinTemp=default, HalfspaceCoolTemp, ConstTemp)</li><li>nz:        optional argument controlling the number of points along the profile (default = 101)</li></ul><p><strong>Example:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GLMakie
+julia&gt; MatParam = (SetMaterialParams(Name=&quot;UC&quot;, Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(&quot;Wet Quartzite | Ueda et al. (2008)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;MC&quot;, Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(&quot;Plagioclase An75 | Ji and Zhao (1993)&quot;), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;LC&quot;, Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(&quot;Maryland strong diabase | Mackwell et al. (1998)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));
+julia&gt; Thickness = [15,10,15]*km;
+
+julia&gt; StrengthEnvelopePlot(MatParam, Thickness, LinTemp())</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/StrengthEnvelope/StrengthEnvelope.jl#L232-L255">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../seismicvelocity/">« Seismic Velocity</a><a class="docs-footer-nextpage" href="../plotting/">Plotting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Saturday 22 October 2022 22:30">Saturday 22 October 2022</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.4.1/man/zirconages/index.html b/v0.4.1/man/zirconages/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Zircon Ages · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input 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class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li class="is-active"><a class="tocitem" href>Zircon Ages</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Zircon Ages</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Zircon Ages</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/zirconages.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Zircon-age-parameterizations"><a class="docs-heading-anchor" href="#Zircon-age-parameterizations">Zircon age parameterizations</a><a id="Zircon-age-parameterizations-1"></a><a class="docs-heading-anchor-permalink" href="#Zircon-age-parameterizations" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Zircons are one of the ways in which we can date the age &amp; activity of magmatic systems.  Here, we provide a computational routine that computes the zircon age distribution from temperature-time paths</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.ZirconAgeData" href="#GeoParams.ZirconAges.ZirconAgeData"><code>GeoParams.ZirconAges.ZirconAgeData</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ZirconAgeData</code></pre><p>Struct that holds default parameters for the calculations</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/ZirconAge/ZirconAges.jl#L27-L31">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>There is one main routine with which you can compute zircon age probability density functions from a range of temperature-ime paths:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.compute_zircon_age_PDF" href="#GeoParams.ZirconAges.compute_zircon_age_PDF"><code>GeoParams.ZirconAges.compute_zircon_age_PDF</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">time_Ma, PDF_zircons, time_Ma_average, PDF_zircon_average, time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF = compute_zircon_age_PDF(time_years_vecs::Vector{Vector}, Tt_paths_Temp_vecs::Vector{Vector}; ZirconData::ZirconAgeData = ZirconAgeData(), bandwidth=bandwidth, n_analyses=300)</code></pre><p>This computes the PDF (probability density function) with zircon age data from Vectors with Tt-paths	</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/ZirconAge/ZirconAges.jl#L296-L301">source</a></section></article><p>This, in turn, calls two other routines:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.compute_zircons_Ttpath" href="#GeoParams.ZirconAges.compute_zircons_Ttpath"><code>GeoParams.ZirconAges.compute_zircons_Ttpath</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF =  compute_zircons_Ttpath(time_years::AbstractArray{Float64,1}, Tt_paths_Temp::AbstractArray{Float64,2}; ZirconData::ZirconAgeData)</code></pre><p>This computes the number of zircons produced from a series of temperature-time path&#39;s.  The Tt-paths are stored in a 2D matrix <code>Tt_paths_Temp</code> with rows being the temperature at time <code>time_years</code>.</p><p><strong>Input:</strong></p><ul><li><code>time_years</code> : vector of length <code>nt</code> with the time in years (since the beginning of the simulation) of the points provided</li><li><code>Tt_paths_Temp</code> : array of size <code>(nt,npaths)</code>` with the temperature of every path.</li></ul><p>Output:</p><ul><li><code>prob</code> : a vector that gives the relative probability that a zircon with a given age exists</li><li><code>ages_eruptible</code> : age of eruptble magma</li><li><code>number_zircons</code> : 1D array of size <code>(nt,)</code></li><li><code>T_av_time</code>: vector of size <code>nt</code> that contains the average T of the paths</li><li><code>T_sd_time</code>: vector of size <code>nt</code> that contains the standard deviation of the T of the paths</li><li><code>cumPDF</code>: vector of size <code>nt</code> that contains the cummulative probability density function that we have an age of less than a certain one in the samples</li></ul><p>This routine was developed based on an R-routine provided as electronic supplement in the paper:</p><ul><li>Weber, G., Caricchi, L., Arce, J.L., Schmitt, A.K., 2020. Determining the current size and state of subvolcanic magma reservoirs. Nat Commun 11, 5477. https://doi.org/10.1038/s41467-020-19084-2</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/ZirconAge/ZirconAges.jl#L98-L120">source</a></section><section><div><pre><code class="nohighlight hljs">time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF  = compute_zircons_Ttpath(time_years_vecs::Vector{Vector{Float64}}, Tt_paths_Temp::Vector{Vector{Float64}}; ZirconData::ZirconAgeData = ZirconAgeData())</code></pre><p>This accepts Vector{Vector} as input for time and temperature of each Tt-path. Here, the length of the vector can be variable between different points.</p><p>Internally, we interpolate this into a 2D matrix and a longer vector that includes all paths and a single vector with times </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/ZirconAge/ZirconAges.jl#L205-L212">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.zircon_age_PDF" href="#GeoParams.ZirconAges.zircon_age_PDF"><code>GeoParams.ZirconAges.zircon_age_PDF</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">zircon_age_PDF(ages_eruptible::AbstractArray{Float64,1}, number_zircons::AbstractArray{Float64,2}, bandwidth=1e5, n_analyses=300, ZirconData::ZirconAgeData)</code></pre><p>Compute probability density functions for zircon age path&#39;s describes in <code>number_zircons</code> with age <code>ages_eruptible</code> (both computed ). <code>bandwidth</code> is the smoothening window of the resulting curves (in years), whereas <code>n_analyses</code> are the number of analyses done. 	</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/c93f5f8d2d3152ad96790258e540f725cdf25753/src/ZirconAge/ZirconAges.jl#L256-L260">source</a></section></article><p>We also provide a plotting routine, provided the <code>Plots</code> package is loaded, which produces figures such as: <img src="../assets/img/ZirconAge_PDF.png" alt="subet3"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../TASclassification/">« TAS classification</a><a class="docs-footer-nextpage" href="../phasediagrams/">Phase Diagrams »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Saturday 22 October 2022 22:30">Saturday 22 October 2022</span>. 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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Search · GeoParams.jl</title><script data-outdated-warner src="../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL=".."</script><script 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class="docs-menu"><li><a class="tocitem" href="../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../man/geounit/">GeoUnit</a></li><li><a class="tocitem" href="../man/nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../man/materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../man/density/">Density</a></li><li><a class="tocitem" href="../man/creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../man/elasticity/">Elasticity</a></li><li><a class="tocitem" href="../man/plasticity/">Plasticity</a></li><li><a class="tocitem" href="../man/heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../man/conductivity/">Conductivity</a></li><li><a class="tocitem" href="../man/latentheat/">Latent heat</a></li><li><a class="tocitem" href="../man/radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../man/shearheating/">Shear heating</a></li><li><a class="tocitem" href="../man/gravity/">Gravity</a></li><li><a class="tocitem" href="../man/melting/">Partial Melting</a></li><li><a class="tocitem" href="../man/TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../man/zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../man/phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../man/seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../man/strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../man/plotting/">Plotting</a></li><li><a class="tocitem" href="../man/listfunctions/">List of functions</a></li><li><a class="tocitem" href="../man/contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select 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Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body><script src="../search_index.js"></script><script src="../assets/search.js"></script></html>
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+var documenterSearchIndex = {"docs":
+[{"location":"man/phasediagrams/#Phase-Diagrams","page":"Phase Diagrams","title":"Phase Diagrams","text":"","category":"section"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"It is possible to employ phase diagrams as lookup tables, which can be used to compute density, melt fraction or seismic properties, for example. ","category":"page"},{"location":"man/phasediagrams/#Perple_X","page":"Phase Diagrams","title":"Perple_X","text":"","category":"section"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"A popular way to compute phase diagrams (pseudosections) for a given (fixed) chemical composition as a function of pressure and temperature is by using Perple_X. Once a stable assemblage is computed, through Gibbs energy minimisation, it allows you to output a large number of properties such as density, melt fraction or seismic velocities.","category":"page"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"Within GeoParams, we can import this diagram (provided it is formatted in the same manner as LaMEM expects Perple_X input to be).","category":"page"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"GeoParams.MaterialParameters.PhaseDiagrams.PerpleX_LaMEM_Diagram\nGeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","category":"page"},{"location":"man/phasediagrams/#GeoParams.PerpleX_LaMEM_Diagram","page":"Phase Diagrams","title":"GeoParams.PerpleX_LaMEM_Diagram","text":"PD_Data = PerpleX_LaMEM_Diagram(fname::String; CharDim = nothing)\n\nReads a precomputed phase diagram in the LaMEM/Perple_X format (which is a phase diagram computed using Perple_X, but formatted in a manner that is readable using LaMEM). The data is stored in the PhaseDiagram_LookupTable structure.\n\nIf the CharDim object is specified, the values of all diagrams will be non-dimensionalized.\n\nExample\n\njulia> PD_Data = PerpleX_LaMEM_Diagram(\"./test_data/Peridotite.in\")\nPerple_X/LaMEM Phase Diagram Lookup Table: \n                      File    :   ./test_data/Peridotite.in\n                      T       :   293.0 - 1573.000039\n                      P       :   1.0e7 - 2.9999999944e9\n                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp\n                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs\n                                  :Vp, :Vs, :VpVs\n\nOnce imported, the properties on the diagram can be interpolated in a simple manner:\n\njulia> PD_Data.Rho(1500,1e7)\n3042.836820256982\n\nThis also works for vectors or arrays:\n\njulia> T = [1500 1800; 1233 1300]\njulia> P = [1e8 1e9; 1e7 1e7]\njulia> rho = PD_Data.Rho.(T,P)\n\n(Note the dot . in front of the bracket while evaluating arrays).\n\nThe fields that are available depend on what is listed in the diagram file.  The units of the fields are automatically evaluated, and employed to non-dimensionalize the parameters if CharDim is specified. \n\nAlgorithm\n\nInternally, we employ linear interpolation, as provided by the Interpolations.jl package. Values outside the range of the diagram are set to the boundary of the diagram. The interpolation object is directly encoded in the PhaseDiagram_LookupTable` object.  \n\n\n\n\n\n","category":"function"},{"location":"man/phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","page":"Phase Diagrams","title":"GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","text":"Contains data of a Phase Diagram that is regularly spaced in P & T\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#MaterialParameters","page":"Material Parameters","title":"MaterialParameters","text":"","category":"section"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"Material properties for a given phase can be set with SetMaterialParams, whereas all properties are  stored in the MaterialParams structure. Information about the material parameter is found at MaterialParamsInfo. This can be employed ","category":"page"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"MaterialParamsInfo\nSetMaterialParams\nMaterialParams","category":"page"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParamsInfo","text":"MaterialParamsInfo\n\nStructure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.\n\nUsually used in combination with param_info(the_parameter_of_interest)\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.SetMaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.SetMaterialParams","text":"SetMaterialParams(; Name::String=\"\", Phase::Int64=1,\n                    Density             =   nothing, \n                    Gravity             =   nothing,\n                    CreepLaws           =   nothing, \n                    Elasticity          =   nothing, \n                    Plasticity          =   nothing, \n                    CompositeRheology   =   nothing,\n                    Conductivity        =   nothing, \n                    HeatCapacity        =   nothing, \n                    RadioactiveHeat     =   nothing,\n                    LatentHeat          =   nothing,\n                    ShearHeat           =   nothing,\n                    Melting             =   nothing,\n                    SeismicVelocity     =   nothing,\n                    CharDim::GeoUnits   =   nothing)\n\nSets material parameters for a given phase. \n\nIf CharDim is specified the input parameters are non-dimensionalized.   Note that if Density is specified, we also set Gravity even if not explicitly listed\n\nExamples\n\nDefine two viscous creep laws & constant density:\n\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\",\n                       Density   = ConstantDensity(),\n                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))\nPhase 1 : Viscous Matrix\n        | [dimensional units]\n        | \n        |-- Density           : Constant density: ρ=2900 kg m⁻³ \n        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  \n        |                       Linear viscosity: η=1.0e21 Pa s\n\nDefine two viscous creep laws & P/T dependent density and nondimensionalize\n\njulia> CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\", Phase=33,\n                              Density   = PT_Density(),\n                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),\n                              CharDim   = CharUnits_GEO)\nPhase 33: Viscous Matrix\n        | [non-dimensional units]\n        | \n        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0 \n        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18 \n        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001  \n        |                       Linear viscosity: η=10000.0 \n\nYou can also create an array that holds several parameters:\n\njulia> MatParam        =   Array{MaterialParams, 1}(undef, 2);\njulia> Phase           =   1;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Upper Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                            Density  = ConstantDensity(ρ=2900kg/m^3));\njulia> Phase           =   2;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Lower Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),\n                            Density  = PT_Density(ρ0=3000kg/m^3));\njulia> MatParam\n2-element Vector{MaterialParams}:\n Phase 1 : Upper Crust\n    | [dimensional units]\n    | \n    |-- Density           : Constant density: ρ=2900 kg m⁻³ \n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  \n    |                       Linear viscosity: η=1.0e23 Pa s \n                            \n Phase 2 : Lower Crust\n    | [dimensional units]\n    | \n    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa \n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹  \n    |                       Linear viscosity: η=1.0e21 Pa s \n\n\n\n\n\n","category":"function"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParams","text":"MaterialParams\n\nStructure that holds all material parameters for a given phase\n\n\n\n\n\n","category":"type"},{"location":"man/contributing/#Contributing","page":"Contributing","title":"Contributing","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"You can contribute for example by adding new creep laws or by adding new constitutive relationships. If you invest a bit of time now, it will save others in the community a lot of time! The simplest way to do this is by cloning the repository, and creating a new branch for your feature. Once you are happy with what you added (and after you added a test to ensure that it will keep working with future changes), create a pull request and we will evaluate & merge it.","category":"page"},{"location":"man/contributing/#Style-Guide","page":"Contributing","title":"Style Guide","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Follow the style of the surrounding text when making changes. When adding new features please try to stick to the following points whenever applicable.","category":"page"},{"location":"man/contributing/#Julia","page":"Contributing","title":"Julia","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"4-space indentation;\nmodules spanning entire files should not be indented, but modules that have surrounding code should;\nno blank lines at the start or end of files;\ndo not manually align syntax such as = or :: over adjacent lines;\nuse function ... end when a method definition contains more than one toplevel expression;\nrelated short-form method definitions don't need a new line between them;\nunrelated or long-form method definitions must have a blank line separating each one;\nsurround all binary operators with whitespace except for ::, ^, and :;\nfiles containing a single module ... end must be named after the module;\nmethod arguments should be ordered based on the amount of usage within the method body;\nmethods extended from other modules must follow their inherited argument order, not the above rule;\nexplicit return should be preferred except in short-form method definitions;\navoid dense expressions where possible e.g. prefer nested ifs over complex nested ?s;\ninclude a trailing , in vectors, tuples, or method calls that span several lines;\ndo not use multiline comments (#= and =#);\nwrap long lines as near to 92 characters as possible, this includes docstrings;\nfollow the standard naming conventions used in Base.","category":"page"},{"location":"man/contributing/#Markdown","page":"Contributing","title":"Markdown","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Use unbalanced # headers, i.e. no # on the right hand side of the header text;\ninclude a single blank line between toplevel blocks;\nunordered lists must use * bullets with two preceding spaces;\ndo not hard wrap lines;\nuse emphasis (*) and bold (**) sparingly;\nalways use fenced code blocks instead of indented blocks;\nfollow the conventions outlined in the Julia documentation page on documentation.","category":"page"},{"location":"man/latentheat/#Latent-heat","page":"Latent heat","title":"Latent heat","text":"","category":"section"},{"location":"man/latentheat/#Methods","page":"Latent heat","title":"Methods","text":"","category":"section"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"Latent heat (of crystallisation) is defined as ","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","category":"page"},{"location":"man/latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","page":"Latent heat","title":"GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","text":"ConstantLatentHeat(Q_L=400kJ/kg)\n\nSet a constant latent heat:\n\n    Q_L  = cst\n\nwhere Q_L is the latent heat [kJkg].\n\n\n\n\n\n","category":"type"},{"location":"man/latentheat/#Computational-routines","page":"Latent heat","title":"Computational routines","text":"","category":"section"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"To compute, use this:","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"GeoParams.MaterialParameters.LatentHeat.compute_latent_heat","category":"page"},{"location":"man/zirconages/#Zircon-age-parameterizations","page":"Zircon Ages","title":"Zircon age parameterizations","text":"","category":"section"},{"location":"man/zirconages/#Methods","page":"Zircon Ages","title":"Methods","text":"","category":"section"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"Zircons are one of the ways in which we can date the age & activity of magmatic systems.  Here, we provide a computational routine that computes the zircon age distribution from temperature-time paths","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.ZirconAgeData","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.ZirconAgeData","page":"Zircon Ages","title":"GeoParams.ZirconAges.ZirconAgeData","text":"ZirconAgeData\n\nStruct that holds default parameters for the calculations\n\n\n\n\n\n","category":"type"},{"location":"man/zirconages/#Computational-routines","page":"Zircon Ages","title":"Computational routines","text":"","category":"section"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"There is one main routine with which you can compute zircon age probability density functions from a range of temperature-ime paths:","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.compute_zircon_age_PDF","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.compute_zircon_age_PDF","page":"Zircon Ages","title":"GeoParams.ZirconAges.compute_zircon_age_PDF","text":"time_Ma, PDF_zircons, time_Ma_average, PDF_zircon_average, time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF = compute_zircon_age_PDF(time_years_vecs::Vector{Vector}, Tt_paths_Temp_vecs::Vector{Vector}; ZirconData::ZirconAgeData = ZirconAgeData(), bandwidth=bandwidth, n_analyses=300)\n\nThis computes the PDF (probability density function) with zircon age data from Vectors with Tt-paths\t\n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"This, in turn, calls two other routines:","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.compute_zircons_Ttpath\nGeoParams.zircon_age_PDF","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.compute_zircons_Ttpath","page":"Zircon Ages","title":"GeoParams.ZirconAges.compute_zircons_Ttpath","text":"prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF =  compute_zircons_Ttpath(time_years::AbstractArray{Float64,1}, Tt_paths_Temp::AbstractArray{Float64,2}; ZirconData::ZirconAgeData)\n\nThis computes the number of zircons produced from a series of temperature-time path's.  The Tt-paths are stored in a 2D matrix Tt_paths_Temp with rows being the temperature at time time_years.\n\nInput:\n\ntime_years : vector of length nt with the time in years (since the beginning of the simulation) of the points provided\nTt_paths_Temp : array of size (nt,npaths)` with the temperature of every path.\n\nOutput:\n\nprob : a vector that gives the relative probability that a zircon with a given age exists\nages_eruptible : age of eruptble magma\nnumber_zircons : 1D array of size (nt,)\nT_av_time: vector of size nt that contains the average T of the paths\nT_sd_time: vector of size nt that contains the standard deviation of the T of the paths\ncumPDF: vector of size nt that contains the cummulative probability density function that we have an age of less than a certain one in the samples\n\nThis routine was developed based on an R-routine provided as electronic supplement in the paper:\n\nWeber, G., Caricchi, L., Arce, J.L., Schmitt, A.K., 2020. Determining the current size and state of subvolcanic magma reservoirs. Nat Commun 11, 5477. https://doi.org/10.1038/s41467-020-19084-2\n\n\n\n\n\ntime_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF  = compute_zircons_Ttpath(time_years_vecs::Vector{Vector{Float64}}, Tt_paths_Temp::Vector{Vector{Float64}}; ZirconData::ZirconAgeData = ZirconAgeData())\n\nThis accepts Vector{Vector} as input for time and temperature of each Tt-path. Here, the length of the vector can be variable between different points.\n\nInternally, we interpolate this into a 2D matrix and a longer vector that includes all paths and a single vector with times \n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/#GeoParams.ZirconAges.zircon_age_PDF","page":"Zircon Ages","title":"GeoParams.ZirconAges.zircon_age_PDF","text":"zircon_age_PDF(ages_eruptible::AbstractArray{Float64,1}, number_zircons::AbstractArray{Float64,2}, bandwidth=1e5, n_analyses=300, ZirconData::ZirconAgeData)\n\nCompute probability density functions for zircon age path's describes in number_zircons with age ages_eruptible (both computed ). bandwidth is the smoothening window of the resulting curves (in years), whereas n_analyses are the number of analyses done. \t\n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"We also provide a plotting routine, provided the Plots package is loaded, which produces figures such as: (Image: subet3)","category":"page"},{"location":"man/TASclassification/#TAS-rock-classification","page":"TAS classification","title":"TAS rock classification","text":"","category":"section"},{"location":"man/TASclassification/#Methods","page":"TAS classification","title":"Methods","text":"","category":"section"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"When doing coupled petrological-geodynamic modelling, the evolution of the composition of the magma is more easily understood when a rock type is given. This routine is an implementation of the TAS diagram (Total Alkali (TA) vs Silica (S)) from Le Maitre et al., 2002.","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.TASclassificationData","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.TASclassificationData","page":"TAS classification","title":"GeoParams.TASclassification.TASclassificationData","text":"TASclassificationData\n\nStruct that holds default parameters for the TAS diagram\n\n\n\n\n\n","category":"type"},{"location":"man/TASclassification/#Computational-routine","page":"TAS classification","title":"Computational routine","text":"","category":"section"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"There is one routine with which you can retrieve the index of the TAS rock-type. The routine receives as an input a compositional vector [SiO2,Na2O+K2O] in wt% and sends back an index [1-15].","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.computeTASclassification","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.computeTASclassification","page":"TAS classification","title":"GeoParams.TASclassification.computeTASclassification","text":"classIndex computeTASclassification(chemComp::AbstractArray{_T,N}, ClassTASdata::TASclassificationData)\n\nThis compute the classification of the igneous rock using TAS diagram (Total Alkali (TA) vs Silica (S)).\n\nInput:\n\nchemComp : vector rock composition in oxide wt%\n\nOutput:\n\nclassIndex : an integer [0-14] corresponding to a TAS field (TASclassificationData.litho[classIndex])\n\nThis routine was developed based the TAS classification of Le Maitre et al., 2002\n\n\n\n\n\n","category":"function"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"Using the index of the rock-type you can get the name of the corresponding volcanic rock using the following routine.","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.retrieveTASrockType","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.retrieveTASrockType","page":"TAS classification","title":"GeoParams.TASclassification.retrieveTASrockType","text":"retrieveTASrockType(index::Int64; ClassTASdata::TASclassificationData = TASclassificationData())\n\nThis retrieves the name of the volcanic rock-type using the computed index\n\nInput:\n\nindex : integer [1-15]\n\nOutput:\n\nlitho : a string of the name of corresponding volcanic rock\n\n\n\n\n\n","category":"function"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"We also provide a plotting routine, provided the Plots package is loaded, which produces figures such as: (Image: subet3)","category":"page"},{"location":"man/radioactiveheating/#Radioactive-heat","page":"Radioactive heat","title":"Radioactive heat","text":"","category":"section"},{"location":"man/radioactiveheating/#Methods","page":"Radioactive heat","title":"Methods","text":"","category":"section"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"Radioactive heat sources are defined as ","category":"page"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat\nGeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat\n","category":"page"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","text":"ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)\n\nSet a constant radioactive heat:\n\n    H_r  = cst\n\nwhere H_r is the radioactive heat source [Wattm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat","text":"ExpDepthDependent(H_0=1e-6Watt/m^3, h_r=10e3m, z_0=0m)\n\nSets an exponential depth-dependent radioactive \n\n    H_r  = H_0 exp left( - (z - z_0) over h_r right)\n\nwhere H_0 is the radioactive heat source [Wattm^3] at z=z_0 which decays with depth over a characteristic distance h_r.\n\n\n\n\n\n","category":"type"},{"location":"man/radioactiveheating/#Computational-routines","page":"Radioactive heat","title":"Computational routines","text":"","category":"section"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"To compute, use this:","category":"page"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat\nGeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat!","category":"page"},{"location":"man/listfunctions/#List-of-all-functions","page":"List of functions","title":"List of all functions","text":"","category":"section"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity","page":"Seismic Velocity","title":"Seismic velocity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"Seismic velocity can specified in a number of ways","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","text":"ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)\n\nSet a constant seismic P and S-wave velocity:\n\n    V_p = cst\n\n    V_s = cst\n\nwhere V_p V_s are the P-wave and S-wave velocities [kms].\n\n\n\n\n\n","category":"type"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.","category":"page"},{"location":"man/seismicvelocity/#Computational-routines","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To evaluate seismic velocity within a user routine, use this:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.compute_swave_velocity!\nGeoParams.compute_pwave_velocity!\nGeoParams.compute_pwave_velocity\nGeoParams.compute_swave_velocity","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity-correction-for-partial-melt","page":"Seismic Velocity","title":"Seismic velocity correction for partial melt","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-2","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"The routine uses the reduction formulation of Clark et al., (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-2","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute melt-content based correction for seismic waves velocities, you can use:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.melt_correction","category":"page"},{"location":"man/seismicvelocity/#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity","page":"Seismic Velocity","title":"Seismic S-wave velocity correction for (shallow depth) porosity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-3","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"Ths routine is based on the equilibrium geometry model for the solid skeleton of Takei et al. (1998) and the porosity-depth empirical relationship of Chen et al. (2020)","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-3","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute porosity based correction for seismic S-wave velocity, you can use:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.porosity_correction","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity-correction-for-anelasticity","page":"Seismic Velocity","title":"Seismic velocity correction for anelasticity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-4","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"The routine uses the reduction formulation of karato (1993), using the quality factor formulation from Behn et al. (2009)","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-4","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute a correction of S-wave velocity for anelasticity, use this:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.anelastic_correction","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction","text":"    Vs_anel = anelastic_correction(water::Int64, Vs0::Float64,P::Float64,T::Float64)\n\nThis routine computes a correction of S-wave velocity for anelasticity\n\nInput:\n\nwater: water flag, 0 = dry; 1 = dampened; 2 = water saturated \nVs0  : S-wave velocitiy of the solid phase (with or without melt correction)\nP    : pressure given in Pa\nT    : temperature given in °K\n\nOutput:\n\nVs_anel : corrected S-wave velocity for anelasticity\n\nThe routine uses the reduction formulation of Karato (1993), using the quality factor formulation from Behn et al. (2009)\n\nReferences:\n\nKarato, S. I. (1993). Importance of anelasticity in the interpretation of seismic tomography. Geophysical research letters, 20(15), 1623-1626.\nBehn, M. D., Hirth, G., & Elsenbeck II, J. R. (2009). Implications of grain size evolution on the seismic structure of the oceanic upper mantle. Earth and Planetary Science Letters, 282(1-4), 178-189.\n\n\n\n\n\n","category":"function"},{"location":"man/plasticity/#Plasticity","page":"Plasticity","title":"Plasticity","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"Plasticity is a non;linear rheology bthat is actrivated once stresses exceed a certain yield criteria.","category":"page"},{"location":"man/plasticity/#Implemented-laws","page":"Plasticity","title":"Implemented  laws","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"The following plastic law are implemented:","category":"page"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"GeoParams.MaterialParameters.Plasticity.DruckerPrager\nGeoParams.MaterialParameters.Plasticity.DruckerPrager_regularised","category":"page"},{"location":"man/plasticity/#Computational-routines","page":"Plasticity","title":"Computational routines","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"Usually, plasticity should be defined as part of a CompositeRheology structure and calculations can be done as with all other rheology computations by using compute_τII.","category":"page"},{"location":"man/plotting/#Plotting","page":"Plotting","title":"Plotting","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"We provide a number of plotting routines. Note that these plotting routines only become available once the GLMakie package is loaded.","category":"page"},{"location":"man/plotting/#Plot-CreepLaws","page":"Plotting","title":"Plot CreepLaws","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"GeoParams.PlotStressStrainrate_CreepLaw\nGeoParams.PlotHeatCapacity\nGeoParams.PlotConductivity\nGeoParams.PlotMeltFraction\nGeoParams.PlotPhaseDiagram","category":"page"},{"location":"man/geounit/#GeoUnit","page":"GeoUnit","title":"GeoUnit","text":"","category":"section"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Most parameters have physical units (100km, 9.81 ms⁻²). Yet, within numerical solvers it is usually not a good idea to compute with the actual SI units as they (at least in geosciences) tend to result in very large/small numbers, which can cause in roundoff errors.  Therefore, we usually convert the dimensional units into non-dimensional ones befeore starting computations. The results can than be converted back to more convenient units for us when we generate the output (plots, for example).","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"This requires a way to store the dimensions of a parameter, but also, once they are made nondimensional, the original units (otherwise we can't convert them back to dimensional values).","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"For that reason, we use the GeoUnit structure, defined as ","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"struct GeoUnit{T,U}\n    val          :: T\n    unit         :: U\n    isdimensional:: Bool\nend","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"You can define a GeoUnit as:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> a = GeoUnit(100km)\nGeoUnit{dimensional, km}, \n100.0\njulia> b=GeoUnit(100s)\nGeoUnit{dimensional, s}, \n100.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Dividing the two gives the expected result","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> c=a/b\nGeoUnit{dimensional, km s⁻¹·⁰}, \n1.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Can also be a vector:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> T = GeoUnit(100K:10.0K:1000K)\nGeoUnit{dimensional, K}, \n100.0:10.0:1000.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"The numerical value is obtained with:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> NumValue(c)\n1.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"It's unit with","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> Unit(c)\nkm s⁻¹·⁰","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"and the value with unit with","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> Value(c)\n1.0 km s⁻¹·⁰","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"If you multiply or divide a GeoUnit with a normal number, we assume that you are no longer interested in the units and you'll get a Float64:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> c*100\n100.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"The value of the GeoUnit struct becomes clear once we non-dimensionalize it (as explained in more detail in a separate page). For that, first specify which characteristic values you want to use for non-dimensionalisation: ","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> CharDim = GEO_units(length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas);","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Let's define a stress:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> σ=GeoUnit(10MPa)\nGeoUnit{dimensional, MPa}, \n10.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"And transfer it to nondimensional units:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> σ_nd = nondimensionalize(σ,CharDim)\nGeoUnit{nondimensional, MPa}, \n0.9999999999999998","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Instead of 1e7 Pa, we now have 1.0; yet at the same time we know that the original unit of σ_nd was in MPa, which allows to transfer it back to dimensional units:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> dimensionalize(σ_nd,CharDim)\nGeoUnit{dimensional, MPa}, \n10.0","category":"page"},{"location":"man/creeplaws/#CreepLaws","page":"Creep laws","title":"CreepLaws","text":"","category":"section"},{"location":"man/creeplaws/#Implemented-creep-laws","page":"Creep laws","title":"Implemented creep laws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"The following viscous creep laws are implemented:","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"GeoParams.LinearViscous\nGeoParams.PowerlawViscous\nGeoParams.DislocationCreep\nGeoParams.SetDislocationCreep\nGeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep\nGeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous","text":"LinearViscous(η=1e20Pa*s)\n\nDefines a linear viscous creeplaw \n\nThe (isotopic) linear viscous rheology is given by  \n\n    tau_ij = 2 eta dotvarepsilon_ij \n\nor\n\n    dotvarepsilon_ij  = tau_ij  over 2 eta \n\nwhere eta_0 is the reference viscosity [Pa*s] at reference strain rate dotvarepsilon_0[1/s], and n the power law exponent []. \n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous","text":"PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)\n\nDefines a power law viscous creeplaw as: \n\n    tau_ij^n  = 2 eta_0 left( dotvarepsilon_ij over dotvarepsilon_0 right)\n\nwhere eta is the effective viscosity [Pa*s].\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep","text":"DislocationCreep(n = 1.0NoUnits, r = 0.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )\n\nDefines the flow law parameter of a dislocation creep law.\n\nThe (isotropic) dislocation creep law, as used by experimentalists, is given by  \n\n     dotgamma = A sigma_mathrmd^n f_mathrmH2O^r expleft(-fracE+PVRTright)\n\nwhere \n\nn is the power law exponent  \nr is the exponent of fugacity dependence \nA is a pre-exponential factor mathrmMPa^-ns^-1 (if manually defined, n and r must be either pre-defined or substituted) \nE is the activation energy mathrmkJmol \nV is the activation volume mathrmm^3mol \ndotgamma is the strain rate mathrm1s \nsigma_mathrmd is the differential stress mathrmMPa which are converted into second invariants using the Apparatus variable that can be\n\neither AxialCompression, SimpleShear or Invariant. If the flow law paramters are already given as a function of second invariants, choose Apparatus=Invariant.\n\nExample\n\njulia> x2 = DislocationCreep(n=3)\nDislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep","text":"SetDislocationCreep[\"Name of Dislocation Creep\"]\n\nSets predefined dislocation creep data from a dictionary\n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep","text":"DiffusionCreep(r = 0NoUnits, p = A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )\n\nDefines the flow law parameter of a dislocation creep law.\n\nThe (isotropic) diffusion creep law, as used by experimentalists, is given by  \n\n     dotgamma = A sigma_mathrmd d^mathrmp f_mathrmH2O^r expleft(-fracE+PVRTright)\n\nwhere \n\nr is the exponent of fugacity dependence \np is the exponent of grain size\nA is a pre-exponential factor mathrmMPa^-ns^-1 (if manually defined, n and r must be either pre-defined or substituted) \nE is the activation energy mathrmkJmol \nV is the activation volume mathrmm^3mol \ndotgamma is the strain rate mathrm1s \nsigma_mathrmd is the differential stress mathrmMPa\n\nThe experimental paramaters are converted into second invariants using the Apparatus variable that can be either AxialCompression, SimpleShear or Invariant. If the flow law paramters are already given as a function of second invariants, choose Apparatus=Invariant.\n\nExample\n\njulia> x2 = DiffusionCreep(Name=\"test\")\nDiffusionCreep: Name = test, n=1.0, r=0.0, p=-3.0, A=1.5 m³·⁰ MPa⁻¹·⁰ s⁻¹·⁰, E=500.0 kJ mol⁻¹·⁰, V=2.4e-5 m³·⁰ mol⁻¹·⁰, FT=1.7320508075688772, FE=1.1547005383792517)\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","text":"SetDiffusionCreep[\"Name of Diffusion Creep\"]\n\nThis is a dictionary with pre-defined creep laws    \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#Computational-routines-for-creep-laws","page":"Creep laws","title":"Computational routines for creep laws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"Once a creep rheology is defined, we can use the following routines to perform computations within the solvers","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"CreepLawVariables\nGeoParams.compute_εII\nGeoParams.compute_εII!\nGeoParams.compute_τII\nGeoParams.compute_τII!\nGeoParams.CorrectionFactor\nGeoParams.RemoveTensorCorrection","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII","text":"compute_εII(a::DiffusionCreep, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)\n\nReturns diffusion creep strainrate as a function of 2nd invariant of the stress tensor tau_II \n\n    dotε_II = A τ_II^n d^p f_H_2O^r exp left(- E + PV over RT right)\n\n\n\n\n\ncompute_εII(s::ConstantElasticity{_T}, τII; τII_old, dt)\n\nComputes elastic strainrate given the deviatoric stress at the current (τII) and old timestep (τII_old), for a timestep dt:\n\n    dotvarepsilon^el = 1 over 2 G D tau_II over Dt   1 over 2 G tau_II- tildetau_II^old over dt \n\nNote that we here solve the scalar equation, which is sufficient for isotropic cases. In tensor form, it would be\n\n    dotvarepsilon^el_ij = 1 over 2 G  tau_ij - tildetau_ij^old over dt \n\nhere tildetau_ij^old is the rotated old deviatoric stress tensor to ensure objectivity (this can be done with Jaumann derivative, or also by using the full rotational formula).\n\n\n\n\n\ncompute_εII(p::DruckerPrager{_T,U,U1}, λdot::_T, τII::_T,  P)\n\nThis computes plastic strain rate invariant for a given λdot\n\n\n\n\n\ncompute_εII(p::DruckerPrager_regularised{_T,U,U1}, λdot::_T, τII::_T,  P)\n\nThis computes plastic strain rate invariant for a given λdot\n\n\n\n\n\ncompute_εII(v::Parallel{T,N}, τII, args; tol=1e-6, verbose=false, n=1)\n\nComputing εII as a function of τII for a Parallel elements is (usually) a nonlinear problem\n\n\n\n\n\ncompute_εII(v::CompositeRheology{T,N}, τII, args; tol=1e-6, verbose=false, n=1)\n\nComputing εII as a function of τII for a composite element is the sum of the individual contributions\n\n\n\n\n\ncompute_εII(v::AbstractPlasticity, τII::_T, args; tol=1e-6, verbose=true)\n\nPerforms local iterations to compute the plastic strainrate. Note that the non-plastic strainrate, ε_np, should be part of args\n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!","text":"compute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)\n\nComputes strainrate as a function of stress\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, s::LinearViscous, TauII::AbstractArray{_T,N})\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, s::ArrheniusType, TauII::AbstractArray{_T,N})\n\n\n\n\n\ncompute_εII!(ε_el::AbstractArray{_T,N}, s::ConstantElasticity{_T}; τII::AbstractArray{_T,N}, τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)\n\nIn-place computation of the elastic shear strainrate for given deviatoric stress invariants at the previous (τII_old) and new (τII) timestep, as well as the timestep dt  \n\n    dotvarepsilon^el = 1 over 2 G D tau_II over Dt   1 over 2 G tau_II- tau_II^old over dt \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII","text":"compute_τII(a::DislocationCreep, EpsII; P, T, f, args...)\n\nComputes the stress for a Dislocation creep law given a certain strain rate\n\n\n\n\n\ncomputeCreepLaw_TauII(EpsII::_T, a::DiffusionCreep; T::_T, P=zero(_T), f=one(_T), d=one(_T), kwargs...)\n\nReturns diffusion creep stress as a function of 2nd invariant of the strain rate \n\n\n\n\n\ncompute_τII(s::LinearViscous, EpsII; kwargs...)\n\nReturns second invariant of the stress tensor given a 2nd invariant of strain rate tensor \n\n\n\n\n\ncompute_τII(s::ArrheniusType, EpsII; kwargs...)\n\nReturns second invariant of the stress tensor given a 2nd invariant of strain rate tensor \n\n\n\n\n\nτII = compute_τII(v::CompositeRheology{T,N}, εII, args; tol=1e-6, verbose=false)\n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!","text":"compute_τII!(TauII::AbstractArray{_T,N}, a::DislocationCreep, EpsII::AbstractArray{_T,N}; \n    P =       zero(TauII)::AbstractArray{_T,N}, \n    T = ones(size(TauII))::AbstractArray{_T,N}, \n    f = ones(size(TauII))::AbstractArray{_T,N})\n\nComputes the deviatoric stress invariant for a dislocation creep law\n\n\n\n\n\ncompute_τII!(τII::AbstractArray{_T,N}, s::ConstantElasticity{_T}. ε_el::AbstractArray{_T,N}; τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)\n\nIn-place update of the elastic stress for given deviatoric strainrate invariants and stres invariant at the old (τII_old) timestep, as well as the timestep dt  \n\n    tau_II = 2 G dt dotvarepsilon^el + tau_II^old\n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#Heat-capacity","page":"Heat Capacity","title":"Heat capacity","text":"","category":"section"},{"location":"man/heatcapacity/#Methods","page":"Heat Capacity","title":"Methods","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"Heat capacity is defined as ","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity\nGeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","text":"ConstantHeatCapacity(cp=1050J/mol/kg)\n\nSet a constant heat capacity:\n\n    cp  = cst\n\nwhere cp is the thermal heat capacity [JkgK].\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","text":"T_HeatCapacity_Whittington()\n\nSets a temperature-dependent heat capacity following the parameterization of Whittington et al. (2009), Nature:\n\n    Cp = (a + b T - cT^2)m \n\nwhere Cp is the heat capacity [JkgK], and abc are parameters that dependent on the temperature T:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nmolmass =   0.22178kg/mol \n\nNote that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than JmolK as in eq.3/4 of the paper)\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#Computational-routines","page":"Heat Capacity","title":"Computational routines","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"To compute, use this:","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity\nGeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","text":"Cp = compute_heatcapacity(s:<AbstractHeatCapacity, P, T)\n\nReturns the heat capacity Cp at any temperature T and pressure P using any of the heat capacity laws implemented.\n\nCurrently available:\n\nConstantHeatCapacity\nT_HeatCapacity_Whittington\n\nExample\n\nUsing dimensional units\n\njulia> T  = (250:100:1250)*K;\njulia> cp = T_HeatCapacity_Whittington()\njulia> Cp = ComputeHeatCapacity(0,T,cp)\n11-element Vector{Unitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:\n  635.4269997294616 J kg⁻¹ K⁻¹\n  850.7470171764261 J kg⁻¹ K⁻¹\n  962.0959598489883 J kg⁻¹ K⁻¹\n 1037.5420433770641 J kg⁻¹ K⁻¹\n 1097.3517921966488 J kg⁻¹ K⁻¹\n 1149.2745563671706 J kg⁻¹ K⁻¹\n 1157.7915050948404 J kg⁻¹ K⁻¹\n 1172.3554874197264 J kg⁻¹ K⁻¹\n 1186.9194697445964 J kg⁻¹ K⁻¹\n  1201.483452069455 J kg⁻¹ K⁻¹\n 1216.0474343943067 J kg⁻¹ K⁻¹\n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","text":"compute_heatcapacity!(Cp::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat})\n\nIn-place computation of heat capacity Cp for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#Melting-Parameterizations","page":"Partial Melting","title":"Melting Parameterizations","text":"","category":"section"},{"location":"man/melting/#Methods","page":"Partial Melting","title":"Methods","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"A number of melting parameterisations are implemented, which can be set with:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.MeltingParam_Caricchi\nGeoParams.MeltingParam.MeltingParam_5thOrder\nGeoParams.MeltingParam.MeltingParam_4thOrder\nGeoParams.MeltingParam.MeltingParam_Quadratic\nGeoParams.MeltingParam.MeltingParam_Assimilation\nGeoParams.MeltingParam.SmoothMelting","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Caricchi","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Caricchi","text":"MeltingParam_Caricchi()\n\nImplements the T-dependent melting parameterisation used by Caricchi, Simpson et al. (as for example described in Simpson) \n\n    theta = (a - (T + c)) over b \n\n    phi_melt = 10 over (10 + e^theta)\n\nNote that T is in Kelvin. As default parameters we employ:\n\nb=23K  a=800K  c=27315K\n\nWhich gives a reasonable fit to experimental data of granodioritic composition (Piwinskii and Wyllie, 1968):\n\n(Image: MeltParam_Carrichi)\n\nReferences\n\nSimpson G. (2017) Practical finite element modelling in Earth Sciences Using MATLAB.\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_5thOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_5thOrder","text":"MeltingParam_5thOrder(a,b,c,d,e,f,T_s,T_l)\n\nUses a 5th order polynomial to describe the melt fraction phi between solidus temperature T_s and liquidus temperature T_l\n\n    phi = a T^5 + b T^4 + c T^3 + d T^2 + e T + f  textrm   for    T_s  T  T_l\n\n    phi = 1  textrm   if    TT_l\n\n    phi = 0  textrm   if    TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_5thOrder)\n\nThe default values are for a composite liquid-line-of-descent:\n\nthe upper part is for Andesite from: (Blatter, D. L. & Carmichael, I. S. (2001) Hydrous phase equilibria of a Mexican highsilica andesite: a candidate for a mantle origin? Geochim. Cosmochim. Acta 65, 4043–4065\nthe lower part is extrapolated to the granitic minimum using the Marxer & Ulmer LLD for Andesite (Marxer, F. & Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. Contributions Mineral. Petrol. 174, 84)\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_4thOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_4thOrder","text":"MeltingParam_4thOrder(b,c,d,e,f,T_s,T_l)\n\nUses a 4th order polynomial to describe the melt fraction phi between solidus temperature T_s and liquidus temperature T_l\n\n    phi = b T^4 + c T^3 + d T^2 + e T + f  textrm   for    T_s  T  T_l\n\n    phi = 1 textrm   if    TT_l\n\n    phi = 0  textrm   if    TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_4thOrder)\n\nThe default values are for Tonalite experiments from Marxer and Ulmer (2019):\n\nMarxer, F. & Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. Contributions Mineral. Petrol. 174, 84\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Quadratic","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Quadratic","text":"MeltingParam_Quadratic(T_s,T_l)\n\nQuadratic melt fraction parameterisation where melt fraction phi depends only on solidus (T_s) and liquidus (T_l) temperature:\n\n    phi = 10 - left( T_l - T over T_l - T_s right)^2\n\n    phi = 10 textrm if  TT_l \n\n    phi = 00 textrm if  TT_s \n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_Quadratic)\n\nThis was used, among others, in Tierney et al. (2016) Geology\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Assimilation","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Assimilation","text":"MeltingParam_Assimilation(T_s,T_l,a)\n\nMelt fraction parameterisation that takes the assimilation of crustal host rocks into account, as used by Tierney et al. (2016) based upon a parameterisation of Spera and Bohrson (2001)\n\nHere, the fraction of molten and assimilated host rocks phi depends on the solidus (T_s) and liquidus (T_l) temperatures of the rocks, as well as on a parameter a=0005\n\n    X = left( T - T_s over T_l - T_s right)\n\n    phi = a cdot left( exp^2ln(100)X - 10 right) textrm if  X  05\n\n    phi = 1- a cdot exp^2ln(100)(1-X)  textrm if  X  05\n\n    phi = 10 textrm if  TT_l \n\n    phi = 00 textrm if  TT_s \n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_Assimilation)\n\nThis was used, among others, in Tierney et al. (2016), who employed as default parameters:\n\n   T_s=97315 T_l=117315 a=0005\n\nReferences\n\nSpera, F.J., and Bohrson, W.A., 2001, Energy-Constrained Open-System Magmatic Processes I: General Model and Energy-Constrained Assimilation and Fractional Crystallization (EC- AFC) Formulation: Journal of Petrology, v. 42, p. 999–1018.\nTierney, C.R., Schmitt, A.K., Lovera, O.M., de Silva, S.L., 2016. Voluminous plutonism during volcanic quiescence revealed by thermochemical modeling of zircon. Geology 44, 683–686. https://doi.org/10.1130/G37968.1\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.SmoothMelting","page":"Partial Melting","title":"GeoParams.MeltingParam.SmoothMelting","text":"SmoothMelting(; p=MeltingParam_4thOrder(), k_sol=0.2/K,  k_liq=0.2/K)\n\nThis smoothens the melting parameterisation p around the solidus T_sol and liquidus T_liq using a smoothened Heaviside step functions for the solidus:\n\n    H_sol =  10 over  1 + exp( -2 k_sol (T - T_sol - 2 over k_sol) )  \n\nand liquidus:        \n\n    H_liq =  10 - 10 over  1 + exp( -2 k_liq (T - T_liq + 2 over k_liq) )  \n\nThe resulting melt fraction phi is computed from the original melt fraction phi_0 (computed using one of the methods above) as:\n\n    phi =  phi_0 H_sol H_liq + 10 - H_liq\n\nThe width of the smoothening zones is controlled by k_sol k_liq (larger values = sharper boundary).\n\nThis is important, as jumps in the derivative dϕdT can cause numerical instabilities in latent heat computations, which is prevented with this smoothening.\n\nExample\n\nLet's consider a 4th order parameterisation:\n\njulia> using GeoParams, Plots\njulia> p = MeltingParam_4thOrder();\njulia> T= collect(650.0:1:1050.) .+ 273.15;\njulia> T,phi,dϕdT =  PlotMeltFraction(p,T=T);\n\nThe same but with smoothening:\n\njulia> p_s = SmoothMelting(p=MeltingParam_4thOrder(), k_liq=0.21/K);\n4th order polynomial melting curve: phi = -7.594512597174117e-10T^4 + 3.469192091489447e-6T^3 + -0.00592352980926T^2 + 4.482855645604745T + -1268.730161921053  963.15 K ≤ T ≤ 1270.15 K with smooth Heaviside function smoothening using k_sol=0.1 K⁻¹·⁰, k_liq=0.11 K⁻¹·⁰\njulia> T_s,phi_s,dϕdT_s =  PlotMeltFraction(p_s,T=T);\n\nWe can create plots of this with:\n\njulia> plt1 = plot(T.-273.15, phi, ylabel=\"Melt Fraction ϕ\", color=:red, label=\"original\", xlabel=\"Temperature [C]\")\njulia> plt1 = plot(plt1, T.-273.15, phi_s,  color=:black, label=\"smoothened\", legend=:bottomright)\njulia> plt2 = plot(T.-273.15, dϕdT, ylabel=\"dϕ/dT\", color=:red, label=\"original\", xlabel=\"Temperature [C]\")\njulia> plt2 = plot(plt2, T.-273.15, dϕdT_s,  color=:black, label=\"smoothened\", legend=:topright)\njulia> plot!(plt1,plt2,   xlabel=\"Temperature [C]\", layout=(2,1))\n\nThe derivative no longer has a jump now:\n\n(Image: MeltingParam_Smooth)\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#Computational-routines","page":"Partial Melting","title":"Computational routines","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"To compute the melt fraction at given T and P, use:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.compute_meltfraction!\nGeoParams.MeltingParam.compute_meltfraction","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction!","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction!","text":"compute_meltfraction!(ϕ::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T:AbstractArray{<:AbstractFloat}, p::PhaseDiagram_LookupTable)\n\nIn-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified.\n\n\n\n\n\ncompute_meltfraction(ϕ::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction","text":"compute_meltfraction(P,T, p::AbstractPhaseDiagramsStruct)\n\nComputes melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified.\n\n\n\n\n\nϕ = compute_meltfraction(Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"You can also obtain the derivative of melt fraction versus temperature with (useful to compute latent heat effects):","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.compute_dϕdT!\nGeoParams.MeltingParam.compute_dϕdT","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.compute_dϕdT!","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_dϕdT!","text":"compute_dϕdT!(ϕ::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputates the derivative of melt fraction ϕ versus temperature T, partial phi over partial T for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays. This is employed, for example, in computing latent heat terms in an implicit manner.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#GeoParams.MeltingParam.compute_dϕdT","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_dϕdT","text":"compute_dϕdT(P,T, p::AbstractPhaseDiagramsStruct)\n\nComputes derivative of melt fraction vs T in case we use a phase diagram lookup table. The table should have the column :meltFrac specified. The derivative is computed by finite differencing.\n\n\n\n\n\nϕ = compute_dϕdT(Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputates the derivative of melt fraction ϕ versus temperature T for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays. This is employed in computing latent heat terms in an implicit manner, for example\n\n\n\n\n\n","category":"function"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"Also note that phase diagrams can be imported using PerpleX_LaMEM_Diagram, which may also have melt content information.  The computational routines work with that as well.","category":"page"},{"location":"man/melting/#Plotting-routines","page":"Partial Melting","title":"Plotting routines","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"You can use the routine PlotMeltFraction to create a plot, provided that the Plots package has been loaded","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.PlotMeltFraction","category":"page"},{"location":"man/strengthenvelope/#D-Strength-envelope","page":"1D Strength Envelope","title":"1D Strength envelope","text":"","category":"section"},{"location":"man/strengthenvelope/","page":"1D Strength Envelope","title":"1D Strength Envelope","text":"We provide a routine for computing a 1D strength envelope and the tools for setting up a temperature structure and lithostatic pressure profile.","category":"page"},{"location":"man/strengthenvelope/","page":"1D Strength Envelope","title":"1D Strength Envelope","text":"GeoParams.ConstTemp\nGeoParams.LinTemp\nGeoParams.HalfspaceCoolTemp\nGeoParams.CompTempStruct\nGeoParams.LithPres\nGeoParams.StrengthEnvelopeComp\nGeoParams.StrengthEnvelopePlot\n![XMasTree](../assets/XMasTree.png)","category":"page"},{"location":"man/strengthenvelope/#GeoParams.ConstTemp","page":"1D Strength Envelope","title":"GeoParams.ConstTemp","text":"ConstTemp(T=1000)\n\nSets a constant temperature inside the box\n\nParameters:\n\nT : the value\n\n\n\n\n\n","category":"type"},{"location":"man/strengthenvelope/#GeoParams.LinTemp","page":"1D Strength Envelope","title":"GeoParams.LinTemp","text":"LinTemp(Ttop=0, Tbot=1000)\n\nSets a linear temperature structure from top to bottom\n\nParameters:\n\nTtop: the value @ the top\nTbot: the value @ the bottom\n\n\n\n\n\n","category":"type"},{"location":"man/strengthenvelope/#GeoParams.HalfspaceCoolTemp","page":"1D Strength Envelope","title":"GeoParams.HalfspaceCoolTemp","text":"HalfspaceCoolTemp(Tsurface=0, Tmantle=1350, Age=60, Adiabat=0)\n\nSets a halfspace temperature structure in plate\n\nParameters:\n\nTsurface: surface temperature [C]\nTmantle:  mantle temperature [C]\nAge:      Thermal Age of plate [Myrs]\nAdiabat:  Mantle Adiabat [K/km]\n\n\n\n\n\n","category":"type"},{"location":"man/strengthenvelope/#GeoParams.CompTempStruct","page":"1D Strength Envelope","title":"GeoParams.CompTempStruct","text":"CompTempStruct(Z, s::AbstractTempStruct)\n\nReturns a temperature vector that matches the coordinate vector and temperature structure that were passed in\n\nParameters:\n\nZ: vector with depth coordinates\ns: Temperature structure (CostTemp, LinTemp, HalfspaceCoolTemp)\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#GeoParams.LithPres","page":"1D Strength Envelope","title":"GeoParams.LithPres","text":"LithPres(MatParam, Phases, ρ, T, dz, g)\n\nIteratively solves a 1D lithostatic pressure profile (compatible with temperature- and pressure-dependent densities)\n\nParameters:\n\nMatParam: a tuple of materials (including the following properties: Phase, Density)\nPhases:   vector with the distribtion of phases\nρ:        density vector for initial guess(can be zeros)\nT:        temperature vector\ndz:       grid spacing\ng:        gravitational accelaration\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#GeoParams.StrengthEnvelopeComp","page":"1D Strength Envelope","title":"GeoParams.StrengthEnvelopeComp","text":"StrengthEnvelopeComp(MatParam::NTuple{N, AbstractMaterialParamsStruct}, Thickness::Vector{U}, TempType::AbstractTempStruct=LinTemp(0C, 800C), ε=1e-15/s, nz::Int64=101) where {N, U}\n\nCalculates a 1D strength envelope. Pressure used for Drucker Prager plasticity is lithostatic. To visualize the results in a GUI, use StrengthEnvelopePlot.\n\nParameters:\n\nMatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)\nThickness: a vector listing the thicknesses of the respective layers (should carry units)\nTempType:  the type of temperature profile (ConstTemp(), LinTemp(), HalfspaceCoolTemp())\nε:         background strainrate\nnz:        optional argument controlling the number of points along the profile (default = 101)\n\nExample:\n\njulia> using GLMakie\njulia> MatParam = (SetMaterialParams(Name=\"UC\", Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(\"Wet Quartzite | Ueda et al. (2008)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),\n                   SetMaterialParams(Name=\"MC\", Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(\"Plagioclase An75 | Ji and Zhao (1993)\"), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),\n                   SetMaterialParams(Name=\"LC\", Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(\"Maryland strong diabase | Mackwell et al. (1998)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));\njulia> Thickness = [15,10,15]*km;\n\njulia> StrengthEnvelopeComp(MatParam, Thickness, LinTemp(), ε=1e-15/s)\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#GeoParams.StrengthEnvelopePlot","page":"1D Strength Envelope","title":"GeoParams.StrengthEnvelopePlot","text":"StrengthEnvelopePlot(MatParam, Thickness; TempType, nz)\n\nRequires GLMakie\n\nCreates a GUI that plots a 1D strength envelope. In the GUI, temperature profile and strain rate can be adjusted. The Drucker-Prager plasticity uses lithostatic pressure.\n\nParameters:\n\nMatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)\nThickness: a vector listing the thicknesses of the respective layers (should carry units)\nTempType:  the type of temperature profile (LinTemp=default, HalfspaceCoolTemp, ConstTemp)\nnz:        optional argument controlling the number of points along the profile (default = 101)\n\nExample:\n\njulia> using GLMakie\njulia> MatParam = (SetMaterialParams(Name=\"UC\", Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(\"Wet Quartzite | Ueda et al. (2008)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),\n                   SetMaterialParams(Name=\"MC\", Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(\"Plagioclase An75 | Ji and Zhao (1993)\"), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),\n                   SetMaterialParams(Name=\"LC\", Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(\"Maryland strong diabase | Mackwell et al. (1998)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));\njulia> Thickness = [15,10,15]*km;\n\njulia> StrengthEnvelopePlot(MatParam, Thickness, LinTemp())\n\n\n\n\n\n","category":"function"},{"location":"man/elasticity/#Elasticity","page":"Elasticity","title":"Elasticity","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"Elasticity is, in geodynamics, often used in combination with viscous and plastic rheology.","category":"page"},{"location":"man/elasticity/#Implemented-laws","page":"Elasticity","title":"Implemented laws","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"We provide the following elastic constitutive relationships:","category":"page"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"GeoParams.ConstantElasticity\nGeoParams.SetConstantElasticity","category":"page"},{"location":"man/elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity","page":"Elasticity","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity","text":"ConstantElasticity(G, ν, K, E)\n\nStructure that holds parameters for constant, isotropic, linear elasticity.\n\n\n\n\n\n","category":"type"},{"location":"man/elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity","page":"Elasticity","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity","text":"SetConstantElasticity(; G=nothing, ν=nothing, E=nothing, Kb=nothing)\n\nThis allows setting elastic parameters by specifying 2 out of the 4 elastic parameters G (Elastic shear modulus), ν (Poisson's ratio), E (Young's modulus), or Kb (bulk modulus).\n\n\n\n\n\n","category":"function"},{"location":"man/elasticity/#Computational-routines","page":"Elasticity","title":"Computational routines","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"We can compute the elastic strainrate with:","category":"page"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"GeoParams.compute_εII\nGeoParams.compute_εII!","category":"page"},{"location":"man/shearheating/#Shear-heating","page":"Shear heating","title":"Shear heating","text":"","category":"section"},{"location":"man/shearheating/#Methods","page":"Shear heating","title":"Methods","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"Heat caused by non-recoverable deformation can be specified in ","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","text":"ConstantShearheating(Χ=0.0NoUnits)\n\nSet the shear heating efficiency [0-1] parameter\n\nΧ  = cst\n\nwhere Chi is the shear heating efficiency [NoUnits]\n\nShear heating is computed as\n\nH_s = Chi cdot tau_ij(dotvarepsilon_ij - dotvarepsilon^el_ij)\n\n\n\n\n\n","category":"type"},{"location":"man/shearheating/#Computational-routines","page":"Shear heating","title":"Computational routines","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"To compute, use this:","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.compute_shearheating\nGeoParams.MaterialParameters.Shearheating.compute_shearheating!","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating","text":"H_s = compute_shearheating(s:<AbstractShearheating, τ, ε, ε_el)\n\nComputes the shear heating source term\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\n\n\n\n\nH_s = ComputeShearheating(s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij \n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating!","text":"compute_shearheating!(H_s, s:<AbstractShearheating,  τ, ε, ε_el)\n\nComputes the shear heating source term in-place\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\nNOTE: The shear heating terms require the full deviatoric stress & strain rate tensors, i.e.:\n\n2D tau_ij = left(   \n                beginmatrix\n                    tau_xx  tau_xz \n                    tau_zx  tau_zz \n                endmatrix \n            right)\n\nSince tau_zx=tau_xz, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used! \n\n\n\n\n\ncompute_shearheating!(H_s, s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term H_s in-place when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij \n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#Nondimensionalization","page":"Nondimensionalization","title":"Nondimensionalization","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between GEO, SI or NO units:","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"SI units assume all input and output is in SI units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).\nGEO units uses SI units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as Myrs,km or MPa\nNO units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that velocity is given in m/s).","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"A dimensional parameter can be transformed into a non-dimensional one with nondimensionalize.","category":"page"},{"location":"man/nondimensionalize/#Specify-characteristic-values","page":"Nondimensionalization","title":"Specify characteristic values","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Characteristic values can be defined in 3 ways.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"GeoParams.Units\nAbstractGeoUnit\nGeoUnit\nGeoUnits\nGEO_units\nSI_units\nNO_units\n@unpack_val\n@unpack_units","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units","page":"Nondimensionalization","title":"GeoParams.Units","text":"This provides units and creates a non-dimensionalization object\n\n\n\n\n\n","category":"module"},{"location":"man/nondimensionalize/#GeoParams.Units.AbstractGeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.AbstractGeoUnit","text":"AbstractGeoUnit\n\nAbstract supertype for geo units.\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnit","text":"Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.\n\nHaving that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.\nWith the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnits","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnits","text":"GeoUnits\n\nStructure that holds parameters used for non-dimensionalization\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GEO_units","page":"Nondimensionalization","title":"GeoParams.Units.GEO_units","text":"GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)\n\nCreates a non-dimensionalization object using GEO units.\n\nGEO units implies that upon dimensionalization, time will be in Myrs, length in km, stress in MPa, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (km or m), provided the unit is specified.\n\nExamples:\n\njulia> CharUnits = GEO_units()\nEmploying GEO units \nCharacteristic values: \n         length:      1000 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\njulia> CharUnits.velocity\n1.0e-7 m s⁻¹\n\nIf we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic length:\n\njulia> CharUnits = GEO_units(length=10km)\nEmploying GEO units \nCharacteristic values: \n         length:      10 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.SI_units","page":"Nondimensionalization","title":"GeoParams.Units.SI_units","text":"CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)\n\nSpecify the characteristic values using SI units \n\nExamples:\n\njulia> CharUnits = SI_units(length=1000m)\nEmploying SI units \nCharacteristic values: \n         length:      1000 m\n         time:        1.0e19 s\n         stress:      10 Pa\n         temperature: 1000.0 K\n\nNote that the same can be achieved if the input is given in km:\n\njulia> CharUnits = SI_units(length=1km)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.NO_units","page":"Nondimensionalization","title":"GeoParams.Units.NO_units","text":"CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)\n\nSpecify the characteristic values in non-dimensional units\n\nExamples:\n\njulia> using GeoParams;\njulia> CharUnits = NO_units()\nEmploying NONE units \nCharacteristic values: \n         length:      1\n         time:        1.0 \n         stress:      1\n         temperature: 1.0\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_val","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_val","text":"This unpacks the numerical value of `GeoUnit` in a structure, without the units.\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_val ρ,α = r\njulia> α\n4.0e-5\njulia> typeof(α)\nFloat64\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_units","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_units","text":"This unpacks the numerical value with units of `GeoUnit` parameters in a structure\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_units ρ,α = r\njulia> α\n4.0e-5 K⁻¹·⁰\njulia> typeof(α)\nQuantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#(Non)-dimensionalize-parameters","page":"Nondimensionalization","title":"(Non)-dimensionalize parameters","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"nondimensionalize\ndimensionalize\nisDimensional","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units.nondimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.nondimensionalize","text":"nondimensionalize(param, CharUnits::GeoUnits{TYPE})\n\nNondimensionalizes param using the characteristic values specified in CharUnits\n\nExample 1\n\njulia> using GeoParams;\njulia> CharUnits =   GEO_units();\njulia> v         =   3cm/yr\n3 cm yr⁻¹ \njulia> v_ND      =   nondimensionalize(v, CharUnits) \n0.009506426344208684\n\nExample 2\n\nIn geodynamics one sometimes encounters more funky units\n\njulia> CharUnits =   GEO_units();\njulia> A         =   6.3e-2MPa^-3.05*s^-1\n0.063 MPa⁻³·⁰⁵ s⁻¹\njulia> A_ND      =   nondimensionalize(A, CharUnits) \n7.068716262102384e14\n\nIn case you are interested to see how the units of A look like in different units, use this function from the Unitful package:\n\njulia> uconvert(u\"Pa^-3.05*s^-1\",A) \n3.157479571851836e-20 Pa⁻³·⁰⁵\n\nand to see it decomposed in the basic SI units of length, mass and time:\n\njulia> upreferred(A)\n3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵\n\n\n\n\n\nMatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nNon-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\nnondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nnondimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\nMatParam_ND = nondimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)\n\nNon-dimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.dimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.dimensionalize","text":"dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes param into the dimensions param_dim using the characteristic values specified in CharUnits.  \n\nExample\n\njulia> CharUnits =   GEO_units();\njulia> v_ND      =   nondimensionalize(3cm/yr, CharUnits) \n0.031688087814028945\njulia> v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) \n3.0 cm yr⁻¹\n\n\n\n\n\ndimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\nDimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nDimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\ndimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)\n\ndimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.isDimensional","page":"Nondimensionalization","title":"GeoParams.Units.isDimensional","text":"isDimensional(MatParam::AbstractMaterialParam)\n\ntrue if MatParam is in dimensional units.    \n\n\n\n\n\n","category":"function"},{"location":"man/density/#Density","page":"Density","title":"Density","text":"","category":"section"},{"location":"man/density/#Methods","page":"Density","title":"Methods","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"The density equation of state can be specified in a number of ways","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.ConstantDensity\nGeoParams.MaterialParameters.Density.PT_Density\nGeoParams.MaterialParameters.Density.Compressible_Density","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.ConstantDensity","page":"Density","title":"GeoParams.MaterialParameters.Density.ConstantDensity","text":"ConstantDensity(ρ=2900kg/m^3)\n\nSet a constant density:\n\n    rho  = cst\n\nwhere rho is the density [kgm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.PT_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.PT_Density","text":"PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)\n\nSet a pressure and temperature-dependent density:\n\n    rho  = rho_0 (10 - alpha (T-T_0) + beta  (P-P_0) )  \n\nwhere rho_0 is the density [kgm^3] at reference temperature T_0 and pressure P_0, alpha is the temperature dependence of density and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.Compressible_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.Compressible_Density","text":"Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)\n\nSet a pressure-dependent density:\n\n    rho  = rho_0 exp(β*(P - P_0))  \n\nwhere rho_0 is the density [kgm^3] at reference pressure P_0 and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#Computational-routines","page":"Density","title":"Computational routines","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"To evaluate density within a user routine, use this:","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.compute_density\nGeoParams.MaterialParameters.Density.compute_density!","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density","text":"compute_density(P,T, s::PhaseDiagram_LookupTable)\n\nInterpolates density as a function of T,P from a lookup table  \n\n\n\n\n\n","category":"function"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density!","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density!","text":"compute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I<:Integer}\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\nExample\n\njulia> MatParam = (SetMaterialParams(Name=\"Mantle\", Phase=1,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                        Density   = PT_Density()\n                        ),\n                    SetMaterialParams(Name=\"Crust\", Phase=2,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),\n                        Density   = ConstantDensity(ρ=2900kg/m^3))\n                  );\njulia> Phases = ones(Int64,400,400);\njulia> Phases[:,20:end] .= 2\njulia> rho     = zeros(size(Phases))\njulia> T       =  ones(size(Phases))\njulia> P       =  ones(size(Phases))*10\njulia> compute_density!(rho, MatParam, Phases, P, T)\njulia> rho\n400×400 Matrix{Float64}:\n2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮                            \n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n\nThe routine is made to minimize allocations:\n\njulia> using BenchmarkTools\njulia> @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)\n    203.468 μs (0 allocations: 0 bytes)\n\n_____________________________________________________________________________________________________________________________   \n\ncompute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/density/","page":"Density","title":"Density","text":"Note that density values are usually not used in itself in the governing PDE's, but usually in combination with other parameters, such as rho g or rho c_p. the non-dimensional value of rho may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.","category":"page"},{"location":"man/gravity/#Gravitational-acceleration","page":"Gravity","title":"Gravitational acceleration","text":"","category":"section"},{"location":"man/gravity/#Methods","page":"Gravity","title":"Methods","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"Gravitational acceleration is defined as ","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","text":"GravityConstant(g=9.81m/s^2)\n\nSet a constant value for the gravitational acceleration:\n\n    g  = 981 m s^-2\n\n\n\n\n\n","category":"type"},{"location":"man/gravity/#Computational-routines","page":"Gravity","title":"Computational routines","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"To compute, use this:","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","text":"compute_gravity(s:<AbstractGravity)\n\nReturns the gravitational acceleration \n\n\n\n\n\n","category":"function"},{"location":"#GeoParams.jl","page":"Home","title":"GeoParams.jl","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:","category":"page"},{"location":"","page":"Home","title":"Home","text":"Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).\nMaterial parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. ","category":"page"},{"location":"","page":"Home","title":"Home","text":"We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).","category":"page"},{"location":"man/conductivity/#Conductivity","page":"Conductivity","title":"Conductivity","text":"","category":"section"},{"location":"man/conductivity/#Methods","page":"Conductivity","title":"Methods","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"Thermal conductivity is defined as ","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity\nGeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington\nGeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised\nGeoParams.MaterialParameters.Conductivity.TP_Conductivity\nGeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity","text":"ConstantConductivity(k=3.0W/m/K)\n\nSet a constant conductivity\n\n    k  = cst\n\nwhere k is the thermal conductivity [WmK].\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington","text":"T_Conductivity_Whittington()\n\nSets a temperature-dependent conductivity following the parameterization of Whittington, A.G., Hofmeister, A.M., Nabelek, P.I., 2009. Temperature-dependent thermal diffusivity of the Earth’s crust and implications for magmatism. Nature 458, 319–321. https://doi.org/10.1038/nature07818.  Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us to compute \n\n    Cp = a + b T - cT^2 \n\n    kappa = dT - e textrm if  T=846K\n\n    kappa = f - g*T textrm if  T846K\n\n    rho = 2700 kgm^3\n\n    k = kappa rho Cp\n\nwhere Cp is the heat capacity [JmolK], and abc are parameters that dependent on the temperature T:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nd = 576.3m^2/s*K      \ne = 0.062m^2/s        \nf = 0.732m^2/s        \ng = 0.000135m^2/s/K \n\nThis looks like:\n\n(Image: subet1)\n\nExample\n\njulia> using GeoParams, Plots\njulia> p=T_Conductivity_Whittington();\njulia> T,k,plt = PlotConductivity(p)\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised","text":"T_Conductivity_Whittington_parameterised()\n\nSets a temperature-dependent conductivity that is  parameterization after Whittington, et al.  2009 \n\nThe original parameterization involves quite a few parameters; this is a polynomial fit that is roughly valid from 0-1000Celcius\n\n    k WmK = -2 10^-9 (T-Ts)^3 + 6 10^-6 (T-Ts)^2 - 00062 (T-Ts) + 4\n\n    Ts = 27315 K\n\nwhere T[K] is the temperature in Kelvin (or the nondimensional equivalent of it).\n\nThe comparison of this parameterisation vs. the original one is: (Image: subet1)\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.TP_Conductivity","text":"TP_Conductivity()\n\nSets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for  \n\n    k = left( a_k +  b_k over T + c_k right) (1 + d_k P) \n\nwhere k is the conductivity [WKm], and a_kb_kc_kd_k are parameters that dependent on the temperature T and pressure P:\n\na_k = 1.18Watt/K/m    \nb_k = 474Watt/m \nc_k = 77K       \nd_k = 0/MPa       \n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","text":"Set_TP_Conductivity[\"Name of temperature(-pressure) dependent conductivity\"]\n\nThis is a dictionary with pre-defined laws:\n\n\"UpperCrust\"    \n\"LowerCrust\"\n\"OceanicCrust\"\n\"Mantle\"\n\nExample\n\njulia> k=Set_TP_Conductivity[\"Mantle\"]\nT/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)  \n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#Computational-routines","page":"Conductivity","title":"Computational routines","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"To compute, use this:","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.compute_conductivity\nGeoParams.MaterialParameters.Conductivity.compute_conductivity!","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity","text":"k = compute_conductivity(P, T, s:<AbstractConductivity)\n\nReturns the thermal conductivity k at any temperature T and pressure P using any of the parameterizations implemented.\n\nCurrently available:\n\nConstantConductivity\nT_Conductivity_Whittington\nTP_Conductivity\n\nExample\n\nUsing dimensional units\n\njulia> T  = (250:100:1250)*K;\njulia> cp = T_HeatCapacity_Whittington()\njulia> Cp = ComputeHeatCapacity(0,T,cp)\n\n\n\n\n\ncompute_conductivity!(K::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},Temp::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of conductivity K for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and Temp arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n_________________________________________________________________________________________________________\n\ncompute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity!","text":"compute_conductivity(k_array::AbstractArray{<:AbstractFloat,N},P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, s::ConstantConductivity) where N\n\nIn-place routine to compute constant conductivity    \n\n\n\n\n\n","category":"function"}]
+}
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+    'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min',
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+    },
+    parser: {
+      strict: /^(?:([^:\/?#]+):)?(?:\/\/((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?))?((((?:[^?#\/]*\/)*)([^?#]*))(?:\?([^#]*))?(?:#(.*))?)/,
+      loose:  /^(?:(?![^:@]+:[^:@\/]*@)([^:\/?#.]+):)?(?:\/\/)?((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?)(((\/(?:[^?#](?![^?#\/]*\.[^?#\/.]+(?:[?#]|$)))*\/?)?([^?#\/]*))(?:\?([^#]*))?(?:#(.*))?)/
+    }
+  };
+
+  $("#search-form").submit(function(e) {
+    e.preventDefault()
+  })
+
+  // list below is the lunr 2.1.3 list minus the intersect with names(Base)
+  // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with)
+  // ideally we'd just filter the original list but it's not available as a variable
+  lunr.stopWordFilter = lunr.generateStopWordFilter([
+    'a',
+    'able',
+    'about',
+    'across',
+    'after',
+    'almost',
+    'also',
+    'am',
+    'among',
+    'an',
+    'and',
+    'are',
+    'as',
+    'at',
+    'be',
+    'because',
+    'been',
+    'but',
+    'by',
+    'can',
+    'cannot',
+    'could',
+    'dear',
+    'did',
+    'does',
+    'either',
+    'ever',
+    'every',
+    'from',
+    'got',
+    'had',
+    'has',
+    'have',
+    'he',
+    'her',
+    'hers',
+    'him',
+    'his',
+    'how',
+    'however',
+    'i',
+    'if',
+    'into',
+    'it',
+    'its',
+    'just',
+    'least',
+    'like',
+    'likely',
+    'may',
+    'me',
+    'might',
+    'most',
+    'must',
+    'my',
+    'neither',
+    'no',
+    'nor',
+    'not',
+    'of',
+    'off',
+    'often',
+    'on',
+    'or',
+    'other',
+    'our',
+    'own',
+    'rather',
+    'said',
+    'say',
+    'says',
+    'she',
+    'should',
+    'since',
+    'so',
+    'some',
+    'than',
+    'that',
+    'the',
+    'their',
+    'them',
+    'then',
+    'there',
+    'these',
+    'they',
+    'this',
+    'tis',
+    'to',
+    'too',
+    'twas',
+    'us',
+    'wants',
+    'was',
+    'we',
+    'were',
+    'what',
+    'when',
+    'who',
+    'whom',
+    'why',
+    'will',
+    'would',
+    'yet',
+    'you',
+    'your'
+  ])
+
+  // add . as a separator, because otherwise "title": "Documenter.Anchors.add!"
+  // would not find anything if searching for "add!", only for the entire qualification
+  lunr.tokenizer.separator = /[\s\-\.]+/
+
+  // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names
+  lunr.trimmer = function (token) {
+    return token.update(function (s) {
+      return s.replace(/^[^a-zA-Z0-9@!]+/, '').replace(/[^a-zA-Z0-9@!]+$/, '')
+    })
+  }
+
+  lunr.Pipeline.registerFunction(lunr.stopWordFilter, 'juliaStopWordFilter')
+  lunr.Pipeline.registerFunction(lunr.trimmer, 'juliaTrimmer')
+
+  var index = lunr(function () {
+    this.ref('location')
+    this.field('title',{boost: 100})
+    this.field('text')
+    documenterSearchIndex['docs'].forEach(function(e) {
+        this.add(e)
+    }, this)
+  })
+  var store = {}
+
+  documenterSearchIndex['docs'].forEach(function(e) {
+      store[e.location] = {title: e.title, category: e.category, page: e.page}
+  })
+
+  $(function(){
+    searchresults = $('#documenter-search-results');
+    searchinfo = $('#documenter-search-info');
+    searchbox = $('#documenter-search-query');
+    searchform = $('.docs-search');
+    sidebar = $('.docs-sidebar');
+    function update_search(querystring) {
+      tokens = lunr.tokenizer(querystring)
+      results = index.query(function (q) {
+        tokens.forEach(function (t) {
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 100,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 10,
+            usePipeline: true,
+            editDistance: 2,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["text"],
+            boost: 1,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+        })
+      })
+      searchinfo.text("Number of results: " + results.length)
+      searchresults.empty()
+      results.forEach(function(result) {
+        data = store[result.ref]
+        link = $('<a class="docs-label">'+data.title+'</a>')
+        link.attr('href', documenterBaseURL+'/'+result.ref)
+        if (data.category != "page"){
+          cat = $('<span class="docs-category">('+data.category+', '+data.page+')</span>')
+        } else {
+          cat = $('<span class="docs-category">('+data.category+')</span>')
+        }
+        li = $('<li>').append(link).append(" ").append(cat)
+        searchresults.append(li)
+      })
+    }
+
+    function update_search_box() {
+      querystring = searchbox.val()
+      update_search(querystring)
+    }
+
+    searchbox.keyup(_.debounce(update_search_box, 250))
+    searchbox.change(update_search_box)
+
+    // Disable enter-key form submission for the searchbox on the search page
+    // and just re-run search rather than refresh the whole page.
+    searchform.keypress(
+      function(event){
+        if (event.which == '13') {
+          if (sidebar.hasClass('visible')) {
+            sidebar.removeClass('visible');
+          }
+          update_search_box();
+          event.preventDefault();
+        }
+      }
+    );
+
+    search_query_uri = parseUri(window.location).queryKey["q"]
+    if(search_query_uri !== undefined) {
+      search_query = decodeURIComponent(search_query_uri.replace(/\+/g, '%20'))
+      searchbox.val(search_query)
+    }
+    update_search_box();
+  })
+})
+
+})
diff --git a/v0.5.0/assets/themes/documenter-dark.css b/v0.5.0/assets/themes/documenter-dark.css
new file mode 100644
index 000000000..0bf1af7d5
--- /dev/null
+++ b/v0.5.0/assets/themes/documenter-dark.css
@@ -0,0 +1,7702 @@
+@charset "UTF-8";
+/* Font Awesome 5 mixin. Can be included in any rule that should render Font Awesome icons. */
+@keyframes spinAround {
+  from {
+    transform: rotate(0deg); }
+  to {
+    transform: rotate(359deg); } }
+
+html.theme--documenter-dark .tabs, html.theme--documenter-dark .pagination-previous,
+html.theme--documenter-dark .pagination-next,
+html.theme--documenter-dark .pagination-link,
+html.theme--documenter-dark .pagination-ellipsis, html.theme--documenter-dark .breadcrumb, html.theme--documenter-dark .file, html.theme--documenter-dark .button, .is-unselectable, html.theme--documenter-dark .modal-close, html.theme--documenter-dark .delete {
+  -webkit-touch-callout: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  user-select: none; }
+
+html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after, html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after {
+  border: 3px solid transparent;
+  border-radius: 2px;
+  border-right: 0;
+  border-top: 0;
+  content: " ";
+  display: block;
+  height: 0.625em;
+  margin-top: -0.4375em;
+  pointer-events: none;
+  position: absolute;
+  top: 50%;
+  transform: rotate(-45deg);
+  transform-origin: center;
+  width: 0.625em; }
+
+html.theme--documenter-dark .admonition:not(:last-child), html.theme--documenter-dark .tabs:not(:last-child), html.theme--documenter-dark .message:not(:last-child), html.theme--documenter-dark .list:not(:last-child), html.theme--documenter-dark .level:not(:last-child), html.theme--documenter-dark .breadcrumb:not(:last-child), html.theme--documenter-dark .highlight:not(:last-child), html.theme--documenter-dark .block:not(:last-child), html.theme--documenter-dark .title:not(:last-child),
+html.theme--documenter-dark .subtitle:not(:last-child), html.theme--documenter-dark .table-container:not(:last-child), html.theme--documenter-dark .table:not(:last-child), html.theme--documenter-dark .progress:not(:last-child), html.theme--documenter-dark .notification:not(:last-child), html.theme--documenter-dark .content:not(:last-child), html.theme--documenter-dark .box:not(:last-child) {
+  margin-bottom: 1.5rem; }
+
+html.theme--documenter-dark .modal-close, html.theme--documenter-dark .delete {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  background-color: rgba(10, 10, 10, 0.2);
+  border: none;
+  border-radius: 290486px;
+  cursor: pointer;
+  pointer-events: auto;
+  display: inline-block;
+  flex-grow: 0;
+  flex-shrink: 0;
+  font-size: 0;
+  height: 20px;
+  max-height: 20px;
+  max-width: 20px;
+  min-height: 20px;
+  min-width: 20px;
+  outline: none;
+  position: relative;
+  vertical-align: top;
+  width: 20px; }
+  html.theme--documenter-dark .modal-close::before, html.theme--documenter-dark .delete::before, html.theme--documenter-dark .modal-close::after, html.theme--documenter-dark .delete::after {
+    background-color: white;
+    content: "";
+    display: block;
+    left: 50%;
+    position: absolute;
+    top: 50%;
+    transform: translateX(-50%) translateY(-50%) rotate(45deg);
+    transform-origin: center center; }
+  html.theme--documenter-dark .modal-close::before, html.theme--documenter-dark .delete::before {
+    height: 2px;
+    width: 50%; }
+  html.theme--documenter-dark .modal-close::after, html.theme--documenter-dark .delete::after {
+    height: 50%;
+    width: 2px; }
+  html.theme--documenter-dark .modal-close:hover, html.theme--documenter-dark .delete:hover, html.theme--documenter-dark .modal-close:focus, html.theme--documenter-dark .delete:focus {
+    background-color: rgba(10, 10, 10, 0.3); }
+  html.theme--documenter-dark .modal-close:active, html.theme--documenter-dark .delete:active {
+    background-color: rgba(10, 10, 10, 0.4); }
+  html.theme--documenter-dark .is-small.modal-close, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.modal-close, html.theme--documenter-dark .is-small.delete, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.delete {
+    height: 16px;
+    max-height: 16px;
+    max-width: 16px;
+    min-height: 16px;
+    min-width: 16px;
+    width: 16px; }
+  html.theme--documenter-dark .is-medium.modal-close, html.theme--documenter-dark .is-medium.delete {
+    height: 24px;
+    max-height: 24px;
+    max-width: 24px;
+    min-height: 24px;
+    min-width: 24px;
+    width: 24px; }
+  html.theme--documenter-dark .is-large.modal-close, html.theme--documenter-dark .is-large.delete {
+    height: 32px;
+    max-height: 32px;
+    max-width: 32px;
+    min-height: 32px;
+    min-width: 32px;
+    width: 32px; }
+
+html.theme--documenter-dark .control.is-loading::after, html.theme--documenter-dark .select.is-loading::after, html.theme--documenter-dark .loader, html.theme--documenter-dark .button.is-loading::after {
+  animation: spinAround 500ms infinite linear;
+  border: 2px solid #dbdee0;
+  border-radius: 290486px;
+  border-right-color: transparent;
+  border-top-color: transparent;
+  content: "";
+  display: block;
+  height: 1em;
+  position: relative;
+  width: 1em; }
+
+html.theme--documenter-dark .hero-video, html.theme--documenter-dark .modal-background, html.theme--documenter-dark .modal, html.theme--documenter-dark .image.is-square img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square img,
+html.theme--documenter-dark .image.is-square .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, html.theme--documenter-dark .image.is-1by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+html.theme--documenter-dark .image.is-1by1 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, html.theme--documenter-dark .image.is-5by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+html.theme--documenter-dark .image.is-5by4 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, html.theme--documenter-dark .image.is-4by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+html.theme--documenter-dark .image.is-4by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, html.theme--documenter-dark .image.is-3by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+html.theme--documenter-dark .image.is-3by2 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, html.theme--documenter-dark .image.is-5by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+html.theme--documenter-dark .image.is-5by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, html.theme--documenter-dark .image.is-16by9 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+html.theme--documenter-dark .image.is-16by9 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, html.theme--documenter-dark .image.is-2by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+html.theme--documenter-dark .image.is-2by1 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, html.theme--documenter-dark .image.is-3by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+html.theme--documenter-dark .image.is-3by1 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, html.theme--documenter-dark .image.is-4by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+html.theme--documenter-dark .image.is-4by5 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, html.theme--documenter-dark .image.is-3by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+html.theme--documenter-dark .image.is-3by4 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, html.theme--documenter-dark .image.is-2by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+html.theme--documenter-dark .image.is-2by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, html.theme--documenter-dark .image.is-3by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+html.theme--documenter-dark .image.is-3by5 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, html.theme--documenter-dark .image.is-9by16 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+html.theme--documenter-dark .image.is-9by16 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, html.theme--documenter-dark .image.is-1by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+html.theme--documenter-dark .image.is-1by2 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, html.theme--documenter-dark .image.is-1by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+html.theme--documenter-dark .image.is-1by3 .has-ratio,
+html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio, .is-overlay {
+  bottom: 0;
+  left: 0;
+  position: absolute;
+  right: 0;
+  top: 0; }
+
+html.theme--documenter-dark .pagination-previous,
+html.theme--documenter-dark .pagination-next,
+html.theme--documenter-dark .pagination-link,
+html.theme--documenter-dark .pagination-ellipsis, html.theme--documenter-dark .file-cta,
+html.theme--documenter-dark .file-name, html.theme--documenter-dark .select select, html.theme--documenter-dark .textarea, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark .button {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  align-items: center;
+  border: 1px solid transparent;
+  border-radius: 0.4em;
+  box-shadow: none;
+  display: inline-flex;
+  font-size: 15px;
+  height: 2.25em;
+  justify-content: flex-start;
+  line-height: 1.5;
+  padding-bottom: calc(0.375em - 1px);
+  padding-left: calc(0.625em - 1px);
+  padding-right: calc(0.625em - 1px);
+  padding-top: calc(0.375em - 1px);
+  position: relative;
+  vertical-align: top; }
+  html.theme--documenter-dark .pagination-previous:focus,
+  html.theme--documenter-dark .pagination-next:focus,
+  html.theme--documenter-dark .pagination-link:focus,
+  html.theme--documenter-dark .pagination-ellipsis:focus, html.theme--documenter-dark .file-cta:focus,
+  html.theme--documenter-dark .file-name:focus, html.theme--documenter-dark .select select:focus, html.theme--documenter-dark .textarea:focus, html.theme--documenter-dark .input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:focus, html.theme--documenter-dark .button:focus, html.theme--documenter-dark .is-focused.pagination-previous,
+  html.theme--documenter-dark .is-focused.pagination-next,
+  html.theme--documenter-dark .is-focused.pagination-link,
+  html.theme--documenter-dark .is-focused.pagination-ellipsis, html.theme--documenter-dark .is-focused.file-cta,
+  html.theme--documenter-dark .is-focused.file-name, html.theme--documenter-dark .select select.is-focused, html.theme--documenter-dark .is-focused.textarea, html.theme--documenter-dark .is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-focused.button, html.theme--documenter-dark .pagination-previous:active,
+  html.theme--documenter-dark .pagination-next:active,
+  html.theme--documenter-dark .pagination-link:active,
+  html.theme--documenter-dark .pagination-ellipsis:active, html.theme--documenter-dark .file-cta:active,
+  html.theme--documenter-dark .file-name:active, html.theme--documenter-dark .select select:active, html.theme--documenter-dark .textarea:active, html.theme--documenter-dark .input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:active, html.theme--documenter-dark .button:active, html.theme--documenter-dark .is-active.pagination-previous,
+  html.theme--documenter-dark .is-active.pagination-next,
+  html.theme--documenter-dark .is-active.pagination-link,
+  html.theme--documenter-dark .is-active.pagination-ellipsis, html.theme--documenter-dark .is-active.file-cta,
+  html.theme--documenter-dark .is-active.file-name, html.theme--documenter-dark .select select.is-active, html.theme--documenter-dark .is-active.textarea, html.theme--documenter-dark .is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .is-active.button {
+    outline: none; }
+  html.theme--documenter-dark .pagination-previous[disabled],
+  html.theme--documenter-dark .pagination-next[disabled],
+  html.theme--documenter-dark .pagination-link[disabled],
+  html.theme--documenter-dark .pagination-ellipsis[disabled], html.theme--documenter-dark .file-cta[disabled],
+  html.theme--documenter-dark .file-name[disabled], html.theme--documenter-dark .select select[disabled], html.theme--documenter-dark .textarea[disabled], html.theme--documenter-dark .input[disabled], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled], html.theme--documenter-dark .button[disabled], fieldset[disabled] html.theme--documenter-dark .pagination-previous, html.theme--documenter-dark fieldset[disabled] .pagination-previous,
+  fieldset[disabled] html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark fieldset[disabled] .pagination-next,
+  fieldset[disabled] html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark fieldset[disabled] .pagination-link,
+  fieldset[disabled] html.theme--documenter-dark .pagination-ellipsis,
+  html.theme--documenter-dark fieldset[disabled] .pagination-ellipsis, fieldset[disabled] html.theme--documenter-dark .file-cta, html.theme--documenter-dark fieldset[disabled] .file-cta,
+  fieldset[disabled] html.theme--documenter-dark .file-name,
+  html.theme--documenter-dark fieldset[disabled] .file-name, fieldset[disabled] html.theme--documenter-dark .select select, fieldset[disabled] html.theme--documenter-dark .textarea, fieldset[disabled] html.theme--documenter-dark .input, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark fieldset[disabled] .select select, html.theme--documenter-dark .select fieldset[disabled] select, html.theme--documenter-dark fieldset[disabled] .textarea, html.theme--documenter-dark fieldset[disabled] .input, html.theme--documenter-dark fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar fieldset[disabled] form.docs-search > input, fieldset[disabled] html.theme--documenter-dark .button, html.theme--documenter-dark fieldset[disabled] .button {
+    cursor: not-allowed; }
+
+/*! minireset.css v0.0.4 | MIT License | github.com/jgthms/minireset.css */
+html,
+body,
+p,
+ol,
+ul,
+li,
+dl,
+dt,
+dd,
+blockquote,
+figure,
+fieldset,
+legend,
+textarea,
+pre,
+iframe,
+hr,
+h1,
+h2,
+h3,
+h4,
+h5,
+h6 {
+  margin: 0;
+  padding: 0; }
+
+h1,
+h2,
+h3,
+h4,
+h5,
+h6 {
+  font-size: 100%;
+  font-weight: normal; }
+
+ul {
+  list-style: none; }
+
+button,
+input,
+select,
+textarea {
+  margin: 0; }
+
+html {
+  box-sizing: border-box; }
+
+*, *::before, *::after {
+  box-sizing: inherit; }
+
+img,
+embed,
+iframe,
+object,
+video {
+  height: auto;
+  max-width: 100%; }
+
+audio {
+  max-width: 100%; }
+
+iframe {
+  border: 0; }
+
+table {
+  border-collapse: collapse;
+  border-spacing: 0; }
+
+td,
+th {
+  padding: 0; }
+  td:not([align]),
+  th:not([align]) {
+    text-align: left; }
+
+.is-clearfix::after {
+  clear: both;
+  content: " ";
+  display: table; }
+
+.is-pulled-left {
+  float: left !important; }
+
+.is-pulled-right {
+  float: right !important; }
+
+.is-clipped {
+  overflow: hidden !important; }
+
+.is-size-1 {
+  font-size: 3rem !important; }
+
+.is-size-2 {
+  font-size: 2.5rem !important; }
+
+.is-size-3 {
+  font-size: 2rem !important; }
+
+.is-size-4 {
+  font-size: 1.5rem !important; }
+
+.is-size-5 {
+  font-size: 1.25rem !important; }
+
+.is-size-6 {
+  font-size: 15px !important; }
+
+.is-size-7, html.theme--documenter-dark .docstring > section > a.docs-sourcelink {
+  font-size: 0.85em !important; }
+
+@media screen and (max-width: 768px) {
+  .is-size-1-mobile {
+    font-size: 3rem !important; }
+  .is-size-2-mobile {
+    font-size: 2.5rem !important; }
+  .is-size-3-mobile {
+    font-size: 2rem !important; }
+  .is-size-4-mobile {
+    font-size: 1.5rem !important; }
+  .is-size-5-mobile {
+    font-size: 1.25rem !important; }
+  .is-size-6-mobile {
+    font-size: 15px !important; }
+  .is-size-7-mobile {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-size-1-tablet {
+    font-size: 3rem !important; }
+  .is-size-2-tablet {
+    font-size: 2.5rem !important; }
+  .is-size-3-tablet {
+    font-size: 2rem !important; }
+  .is-size-4-tablet {
+    font-size: 1.5rem !important; }
+  .is-size-5-tablet {
+    font-size: 1.25rem !important; }
+  .is-size-6-tablet {
+    font-size: 15px !important; }
+  .is-size-7-tablet {
+    font-size: 0.85em !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-size-1-touch {
+    font-size: 3rem !important; }
+  .is-size-2-touch {
+    font-size: 2.5rem !important; }
+  .is-size-3-touch {
+    font-size: 2rem !important; }
+  .is-size-4-touch {
+    font-size: 1.5rem !important; }
+  .is-size-5-touch {
+    font-size: 1.25rem !important; }
+  .is-size-6-touch {
+    font-size: 15px !important; }
+  .is-size-7-touch {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-size-1-desktop {
+    font-size: 3rem !important; }
+  .is-size-2-desktop {
+    font-size: 2.5rem !important; }
+  .is-size-3-desktop {
+    font-size: 2rem !important; }
+  .is-size-4-desktop {
+    font-size: 1.5rem !important; }
+  .is-size-5-desktop {
+    font-size: 1.25rem !important; }
+  .is-size-6-desktop {
+    font-size: 15px !important; }
+  .is-size-7-desktop {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-size-1-widescreen {
+    font-size: 3rem !important; }
+  .is-size-2-widescreen {
+    font-size: 2.5rem !important; }
+  .is-size-3-widescreen {
+    font-size: 2rem !important; }
+  .is-size-4-widescreen {
+    font-size: 1.5rem !important; }
+  .is-size-5-widescreen {
+    font-size: 1.25rem !important; }
+  .is-size-6-widescreen {
+    font-size: 15px !important; }
+  .is-size-7-widescreen {
+    font-size: 0.85em !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-size-1-fullhd {
+    font-size: 3rem !important; }
+  .is-size-2-fullhd {
+    font-size: 2.5rem !important; }
+  .is-size-3-fullhd {
+    font-size: 2rem !important; }
+  .is-size-4-fullhd {
+    font-size: 1.5rem !important; }
+  .is-size-5-fullhd {
+    font-size: 1.25rem !important; }
+  .is-size-6-fullhd {
+    font-size: 15px !important; }
+  .is-size-7-fullhd {
+    font-size: 0.85em !important; } }
+
+.has-text-centered {
+  text-align: center !important; }
+
+.has-text-justified {
+  text-align: justify !important; }
+
+.has-text-left {
+  text-align: left !important; }
+
+.has-text-right {
+  text-align: right !important; }
+
+@media screen and (max-width: 768px) {
+  .has-text-centered-mobile {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-centered-tablet {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-centered-tablet-only {
+    text-align: center !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-centered-touch {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-centered-desktop {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-centered-desktop-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-centered-widescreen {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-centered-widescreen-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-centered-fullhd {
+    text-align: center !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-justified-mobile {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-justified-tablet {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-justified-tablet-only {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-justified-touch {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-justified-desktop {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-justified-desktop-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-justified-widescreen {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-justified-widescreen-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-justified-fullhd {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-left-mobile {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-left-tablet {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-left-tablet-only {
+    text-align: left !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-left-touch {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-left-desktop {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-left-desktop-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-left-widescreen {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-left-widescreen-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-left-fullhd {
+    text-align: left !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-right-mobile {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-right-tablet {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-right-tablet-only {
+    text-align: right !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-right-touch {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-right-desktop {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-right-desktop-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-right-widescreen {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-right-widescreen-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-right-fullhd {
+    text-align: right !important; } }
+
+.is-capitalized {
+  text-transform: capitalize !important; }
+
+.is-lowercase {
+  text-transform: lowercase !important; }
+
+.is-uppercase {
+  text-transform: uppercase !important; }
+
+.is-italic {
+  font-style: italic !important; }
+
+.has-text-white {
+  color: white !important; }
+
+a.has-text-white:hover, a.has-text-white:focus {
+  color: #e6e6e6 !important; }
+
+.has-background-white {
+  background-color: white !important; }
+
+.has-text-black {
+  color: #0a0a0a !important; }
+
+a.has-text-black:hover, a.has-text-black:focus {
+  color: black !important; }
+
+.has-background-black {
+  background-color: #0a0a0a !important; }
+
+.has-text-light {
+  color: #ecf0f1 !important; }
+
+a.has-text-light:hover, a.has-text-light:focus {
+  color: #cfd9db !important; }
+
+.has-background-light {
+  background-color: #ecf0f1 !important; }
+
+.has-text-dark {
+  color: #282f2f !important; }
+
+a.has-text-dark:hover, a.has-text-dark:focus {
+  color: #111414 !important; }
+
+.has-background-dark {
+  background-color: #282f2f !important; }
+
+.has-text-primary {
+  color: #375a7f !important; }
+
+a.has-text-primary:hover, a.has-text-primary:focus {
+  color: #28415b !important; }
+
+.has-background-primary {
+  background-color: #375a7f !important; }
+
+.has-text-link {
+  color: #1abc9c !important; }
+
+a.has-text-link:hover, a.has-text-link:focus {
+  color: #148f77 !important; }
+
+.has-background-link {
+  background-color: #1abc9c !important; }
+
+.has-text-info {
+  color: #024c7d !important; }
+
+a.has-text-info:hover, a.has-text-info:focus {
+  color: #012d4b !important; }
+
+.has-background-info {
+  background-color: #024c7d !important; }
+
+.has-text-success {
+  color: #008438 !important; }
+
+a.has-text-success:hover, a.has-text-success:focus {
+  color: #005122 !important; }
+
+.has-background-success {
+  background-color: #008438 !important; }
+
+.has-text-warning {
+  color: #ad8100 !important; }
+
+a.has-text-warning:hover, a.has-text-warning:focus {
+  color: #7a5b00 !important; }
+
+.has-background-warning {
+  background-color: #ad8100 !important; }
+
+.has-text-danger {
+  color: #9e1b0d !important; }
+
+a.has-text-danger:hover, a.has-text-danger:focus {
+  color: #6f1309 !important; }
+
+.has-background-danger {
+  background-color: #9e1b0d !important; }
+
+.has-text-black-bis {
+  color: #121212 !important; }
+
+.has-background-black-bis {
+  background-color: #121212 !important; }
+
+.has-text-black-ter {
+  color: #242424 !important; }
+
+.has-background-black-ter {
+  background-color: #242424 !important; }
+
+.has-text-grey-darker {
+  color: #282f2f !important; }
+
+.has-background-grey-darker {
+  background-color: #282f2f !important; }
+
+.has-text-grey-dark {
+  color: #343c3d !important; }
+
+.has-background-grey-dark {
+  background-color: #343c3d !important; }
+
+.has-text-grey {
+  color: #5e6d6f !important; }
+
+.has-background-grey {
+  background-color: #5e6d6f !important; }
+
+.has-text-grey-light {
+  color: #8c9b9d !important; }
+
+.has-background-grey-light {
+  background-color: #8c9b9d !important; }
+
+.has-text-grey-lighter {
+  color: #dbdee0 !important; }
+
+.has-background-grey-lighter {
+  background-color: #dbdee0 !important; }
+
+.has-text-white-ter {
+  color: #ecf0f1 !important; }
+
+.has-background-white-ter {
+  background-color: #ecf0f1 !important; }
+
+.has-text-white-bis {
+  color: #fafafa !important; }
+
+.has-background-white-bis {
+  background-color: #fafafa !important; }
+
+.has-text-weight-light {
+  font-weight: 300 !important; }
+
+.has-text-weight-normal {
+  font-weight: 400 !important; }
+
+.has-text-weight-medium {
+  font-weight: 500 !important; }
+
+.has-text-weight-semibold {
+  font-weight: 600 !important; }
+
+.has-text-weight-bold {
+  font-weight: 700 !important; }
+
+.is-family-primary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-secondary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-sans-serif {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-monospace {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-family-code {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-block {
+  display: block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-block-mobile {
+    display: block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-block-tablet {
+    display: block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-block-tablet-only {
+    display: block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-block-touch {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-block-desktop {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-block-desktop-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-block-widescreen {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-block-widescreen-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-block-fullhd {
+    display: block !important; } }
+
+.is-flex {
+  display: flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-flex-mobile {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-flex-tablet {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-flex-tablet-only {
+    display: flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-flex-touch {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-flex-desktop {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-flex-desktop-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-flex-widescreen {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-flex-widescreen-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-flex-fullhd {
+    display: flex !important; } }
+
+.is-inline {
+  display: inline !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-mobile {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-tablet {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-tablet-only {
+    display: inline !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-touch {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-desktop {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-desktop-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-widescreen {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-widescreen-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-fullhd {
+    display: inline !important; } }
+
+.is-inline-block {
+  display: inline-block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-block-mobile {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-block-tablet {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-block-tablet-only {
+    display: inline-block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-block-touch {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-block-desktop {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-block-desktop-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-block-widescreen {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-block-widescreen-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-block-fullhd {
+    display: inline-block !important; } }
+
+.is-inline-flex {
+  display: inline-flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-flex-mobile {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-flex-tablet {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-flex-tablet-only {
+    display: inline-flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-flex-touch {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-flex-desktop {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-flex-desktop-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-flex-widescreen {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-flex-widescreen-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-flex-fullhd {
+    display: inline-flex !important; } }
+
+.is-hidden {
+  display: none !important; }
+
+.is-sr-only {
+  border: none !important;
+  clip: rect(0, 0, 0, 0) !important;
+  height: 0.01em !important;
+  overflow: hidden !important;
+  padding: 0 !important;
+  position: absolute !important;
+  white-space: nowrap !important;
+  width: 0.01em !important; }
+
+@media screen and (max-width: 768px) {
+  .is-hidden-mobile {
+    display: none !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-hidden-tablet {
+    display: none !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-hidden-tablet-only {
+    display: none !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-hidden-touch {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-hidden-desktop {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-hidden-desktop-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-hidden-widescreen {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-hidden-widescreen-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-hidden-fullhd {
+    display: none !important; } }
+
+.is-invisible {
+  visibility: hidden !important; }
+
+@media screen and (max-width: 768px) {
+  .is-invisible-mobile {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-invisible-tablet {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-invisible-tablet-only {
+    visibility: hidden !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-invisible-touch {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-invisible-desktop {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-invisible-desktop-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-invisible-widescreen {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-invisible-widescreen-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-invisible-fullhd {
+    visibility: hidden !important; } }
+
+.is-marginless {
+  margin: 0 !important; }
+
+.is-paddingless {
+  padding: 0 !important; }
+
+.is-radiusless {
+  border-radius: 0 !important; }
+
+.is-shadowless {
+  box-shadow: none !important; }
+
+.is-relative {
+  position: relative !important; }
+
+html.theme--documenter-dark {
+  /* This file contain the overall layout.
+ *
+ * The main container is <div> that is identified by id #documenter.
+ */
+  /*!
+  Theme: a11y-dark
+  Author: @ericwbailey
+  Maintainer: @ericwbailey
+
+  Based on the Tomorrow Night Eighties theme: https://github.com/isagalaev/highlight.js/blob/master/src/styles/tomorrow-night-eighties.css
+*/
+  /* Comment */
+  /* Red */
+  /* Orange */
+  /* Yellow */
+  /* Green */
+  /* Blue */
+  /* Purple */ }
+  html.theme--documenter-dark html {
+    background-color: #1f2424;
+    font-size: 16px;
+    -moz-osx-font-smoothing: grayscale;
+    -webkit-font-smoothing: antialiased;
+    min-width: 300px;
+    overflow-x: auto;
+    overflow-y: scroll;
+    text-rendering: optimizeLegibility;
+    text-size-adjust: 100%; }
+  html.theme--documenter-dark article,
+  html.theme--documenter-dark aside,
+  html.theme--documenter-dark figure,
+  html.theme--documenter-dark footer,
+  html.theme--documenter-dark header,
+  html.theme--documenter-dark hgroup,
+  html.theme--documenter-dark section {
+    display: block; }
+  html.theme--documenter-dark body,
+  html.theme--documenter-dark button,
+  html.theme--documenter-dark input,
+  html.theme--documenter-dark select,
+  html.theme--documenter-dark textarea {
+    font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif; }
+  html.theme--documenter-dark code,
+  html.theme--documenter-dark pre {
+    -moz-osx-font-smoothing: auto;
+    -webkit-font-smoothing: auto;
+    font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace; }
+  html.theme--documenter-dark body {
+    color: #fff;
+    font-size: 1em;
+    font-weight: 400;
+    line-height: 1.5; }
+  html.theme--documenter-dark a {
+    color: #1abc9c;
+    cursor: pointer;
+    text-decoration: none; }
+    html.theme--documenter-dark a strong {
+      color: currentColor; }
+    html.theme--documenter-dark a:hover {
+      color: #1dd2af; }
+  html.theme--documenter-dark code {
+    background-color: rgba(255, 255, 255, 0.05);
+    color: #ececec;
+    font-size: 0.875em;
+    font-weight: normal;
+    padding: 0.1em; }
+  html.theme--documenter-dark hr {
+    background-color: #282f2f;
+    border: none;
+    display: block;
+    height: 2px;
+    margin: 1.5rem 0; }
+  html.theme--documenter-dark img {
+    height: auto;
+    max-width: 100%; }
+  html.theme--documenter-dark input[type="checkbox"],
+  html.theme--documenter-dark input[type="radio"] {
+    vertical-align: baseline; }
+  html.theme--documenter-dark small {
+    font-size: 0.875em; }
+  html.theme--documenter-dark span {
+    font-style: inherit;
+    font-weight: inherit; }
+  html.theme--documenter-dark strong {
+    color: #f2f2f2;
+    font-weight: 700; }
+  html.theme--documenter-dark fieldset {
+    border: none; }
+  html.theme--documenter-dark pre {
+    -webkit-overflow-scrolling: touch;
+    background-color: #282f2f;
+    color: #fff;
+    font-size: 0.875em;
+    overflow-x: auto;
+    padding: 1.25rem 1.5rem;
+    white-space: pre;
+    word-wrap: normal; }
+    html.theme--documenter-dark pre code {
+      background-color: transparent;
+      color: currentColor;
+      font-size: 1em;
+      padding: 0; }
+  html.theme--documenter-dark table td,
+  html.theme--documenter-dark table th {
+    vertical-align: top; }
+    html.theme--documenter-dark table td:not([align]),
+    html.theme--documenter-dark table th:not([align]) {
+      text-align: left; }
+  html.theme--documenter-dark table th {
+    color: #f2f2f2; }
+  html.theme--documenter-dark .box {
+    background-color: #343c3d;
+    border-radius: 8px;
+    box-shadow: none;
+    color: #fff;
+    display: block;
+    padding: 1.25rem; }
+  html.theme--documenter-dark a.box:hover, html.theme--documenter-dark a.box:focus {
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px #1abc9c; }
+  html.theme--documenter-dark a.box:active {
+    box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2), 0 0 0 1px #1abc9c; }
+  html.theme--documenter-dark .button {
+    background-color: #282f2f;
+    border-color: #4c5759;
+    border-width: 1px;
+    color: #375a7f;
+    cursor: pointer;
+    justify-content: center;
+    padding-bottom: calc(0.375em - 1px);
+    padding-left: 0.75em;
+    padding-right: 0.75em;
+    padding-top: calc(0.375em - 1px);
+    text-align: center;
+    white-space: nowrap; }
+    html.theme--documenter-dark .button strong {
+      color: inherit; }
+    html.theme--documenter-dark .button .icon, html.theme--documenter-dark .button .icon.is-small, html.theme--documenter-dark .button #documenter .docs-sidebar form.docs-search > input.icon, html.theme--documenter-dark #documenter .docs-sidebar .button form.docs-search > input.icon, html.theme--documenter-dark .button .icon.is-medium, html.theme--documenter-dark .button .icon.is-large {
+      height: 1.5em;
+      width: 1.5em; }
+    html.theme--documenter-dark .button .icon:first-child:not(:last-child) {
+      margin-left: calc(-0.375em - 1px);
+      margin-right: 0.1875em; }
+    html.theme--documenter-dark .button .icon:last-child:not(:first-child) {
+      margin-left: 0.1875em;
+      margin-right: calc(-0.375em - 1px); }
+    html.theme--documenter-dark .button .icon:first-child:last-child {
+      margin-left: calc(-0.375em - 1px);
+      margin-right: calc(-0.375em - 1px); }
+    html.theme--documenter-dark .button:hover, html.theme--documenter-dark .button.is-hovered {
+      border-color: #8c9b9d;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .button:focus, html.theme--documenter-dark .button.is-focused {
+      border-color: #8c9b9d;
+      color: #17a689; }
+      html.theme--documenter-dark .button:focus:not(:active), html.theme--documenter-dark .button.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .button:active, html.theme--documenter-dark .button.is-active {
+      border-color: #343c3d;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .button.is-text {
+      background-color: transparent;
+      border-color: transparent;
+      color: #fff;
+      text-decoration: underline; }
+      html.theme--documenter-dark .button.is-text:hover, html.theme--documenter-dark .button.is-text.is-hovered, html.theme--documenter-dark .button.is-text:focus, html.theme--documenter-dark .button.is-text.is-focused {
+        background-color: #282f2f;
+        color: #f2f2f2; }
+      html.theme--documenter-dark .button.is-text:active, html.theme--documenter-dark .button.is-text.is-active {
+        background-color: #1d2122;
+        color: #f2f2f2; }
+      html.theme--documenter-dark .button.is-text[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-text {
+        background-color: transparent;
+        border-color: transparent;
+        box-shadow: none; }
+    html.theme--documenter-dark .button.is-white {
+      background-color: white;
+      border-color: transparent;
+      color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-white:hover, html.theme--documenter-dark .button.is-white.is-hovered {
+        background-color: #f9f9f9;
+        border-color: transparent;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-white:focus, html.theme--documenter-dark .button.is-white.is-focused {
+        border-color: transparent;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-white:focus:not(:active), html.theme--documenter-dark .button.is-white.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+      html.theme--documenter-dark .button.is-white:active, html.theme--documenter-dark .button.is-white.is-active {
+        background-color: #f2f2f2;
+        border-color: transparent;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-white[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white {
+        background-color: white;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-white.is-inverted {
+        background-color: #0a0a0a;
+        color: white; }
+        html.theme--documenter-dark .button.is-white.is-inverted:hover, html.theme--documenter-dark .button.is-white.is-inverted.is-hovered {
+          background-color: black; }
+        html.theme--documenter-dark .button.is-white.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted {
+          background-color: #0a0a0a;
+          border-color: transparent;
+          box-shadow: none;
+          color: white; }
+      html.theme--documenter-dark .button.is-white.is-loading::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      html.theme--documenter-dark .button.is-white.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        color: white; }
+        html.theme--documenter-dark .button.is-white.is-outlined:hover, html.theme--documenter-dark .button.is-white.is-outlined.is-hovered, html.theme--documenter-dark .button.is-white.is-outlined:focus, html.theme--documenter-dark .button.is-white.is-outlined.is-focused {
+          background-color: white;
+          border-color: white;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-white.is-outlined.is-loading::after {
+          border-color: transparent transparent white white !important; }
+        html.theme--documenter-dark .button.is-white.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+        html.theme--documenter-dark .button.is-white.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-outlined {
+          background-color: transparent;
+          border-color: white;
+          box-shadow: none;
+          color: white; }
+      html.theme--documenter-dark .button.is-white.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-focused {
+          background-color: #0a0a0a;
+          color: white; }
+        html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent white white !important; }
+        html.theme--documenter-dark .button.is-white.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #0a0a0a;
+          box-shadow: none;
+          color: #0a0a0a; }
+    html.theme--documenter-dark .button.is-black {
+      background-color: #0a0a0a;
+      border-color: transparent;
+      color: white; }
+      html.theme--documenter-dark .button.is-black:hover, html.theme--documenter-dark .button.is-black.is-hovered {
+        background-color: #040404;
+        border-color: transparent;
+        color: white; }
+      html.theme--documenter-dark .button.is-black:focus, html.theme--documenter-dark .button.is-black.is-focused {
+        border-color: transparent;
+        color: white; }
+        html.theme--documenter-dark .button.is-black:focus:not(:active), html.theme--documenter-dark .button.is-black.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+      html.theme--documenter-dark .button.is-black:active, html.theme--documenter-dark .button.is-black.is-active {
+        background-color: black;
+        border-color: transparent;
+        color: white; }
+      html.theme--documenter-dark .button.is-black[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black {
+        background-color: #0a0a0a;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-black.is-inverted {
+        background-color: white;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-black.is-inverted:hover, html.theme--documenter-dark .button.is-black.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-black.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted {
+          background-color: white;
+          border-color: transparent;
+          box-shadow: none;
+          color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-black.is-loading::after {
+        border-color: transparent transparent white white !important; }
+      html.theme--documenter-dark .button.is-black.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-black.is-outlined:hover, html.theme--documenter-dark .button.is-black.is-outlined.is-hovered, html.theme--documenter-dark .button.is-black.is-outlined:focus, html.theme--documenter-dark .button.is-black.is-outlined.is-focused {
+          background-color: #0a0a0a;
+          border-color: #0a0a0a;
+          color: white; }
+        html.theme--documenter-dark .button.is-black.is-outlined.is-loading::after {
+          border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+        html.theme--documenter-dark .button.is-black.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent white white !important; }
+        html.theme--documenter-dark .button.is-black.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-outlined {
+          background-color: transparent;
+          border-color: #0a0a0a;
+          box-shadow: none;
+          color: #0a0a0a; }
+      html.theme--documenter-dark .button.is-black.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        color: white; }
+        html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-focused {
+          background-color: white;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+        html.theme--documenter-dark .button.is-black.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: white;
+          box-shadow: none;
+          color: white; }
+    html.theme--documenter-dark .button.is-light {
+      background-color: #ecf0f1;
+      border-color: transparent;
+      color: #282f2f; }
+      html.theme--documenter-dark .button.is-light:hover, html.theme--documenter-dark .button.is-light.is-hovered {
+        background-color: #e5eaec;
+        border-color: transparent;
+        color: #282f2f; }
+      html.theme--documenter-dark .button.is-light:focus, html.theme--documenter-dark .button.is-light.is-focused {
+        border-color: transparent;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-light:focus:not(:active), html.theme--documenter-dark .button.is-light.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); }
+      html.theme--documenter-dark .button.is-light:active, html.theme--documenter-dark .button.is-light.is-active {
+        background-color: #dde4e6;
+        border-color: transparent;
+        color: #282f2f; }
+      html.theme--documenter-dark .button.is-light[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light {
+        background-color: #ecf0f1;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-light.is-inverted {
+        background-color: #282f2f;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-light.is-inverted:hover, html.theme--documenter-dark .button.is-light.is-inverted.is-hovered {
+          background-color: #1d2122; }
+        html.theme--documenter-dark .button.is-light.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted {
+          background-color: #282f2f;
+          border-color: transparent;
+          box-shadow: none;
+          color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-light.is-loading::after {
+        border-color: transparent transparent #282f2f #282f2f !important; }
+      html.theme--documenter-dark .button.is-light.is-outlined {
+        background-color: transparent;
+        border-color: #ecf0f1;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-light.is-outlined:hover, html.theme--documenter-dark .button.is-light.is-outlined.is-hovered, html.theme--documenter-dark .button.is-light.is-outlined:focus, html.theme--documenter-dark .button.is-light.is-outlined.is-focused {
+          background-color: #ecf0f1;
+          border-color: #ecf0f1;
+          color: #282f2f; }
+        html.theme--documenter-dark .button.is-light.is-outlined.is-loading::after {
+          border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+        html.theme--documenter-dark .button.is-light.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #282f2f #282f2f !important; }
+        html.theme--documenter-dark .button.is-light.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-outlined {
+          background-color: transparent;
+          border-color: #ecf0f1;
+          box-shadow: none;
+          color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-light.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #282f2f;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused {
+          background-color: #282f2f;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+        html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #282f2f;
+          box-shadow: none;
+          color: #282f2f; }
+    html.theme--documenter-dark .button.is-dark, html.theme--documenter-dark .content kbd.button {
+      background-color: #282f2f;
+      border-color: transparent;
+      color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-dark:hover, html.theme--documenter-dark .content kbd.button:hover, html.theme--documenter-dark .button.is-dark.is-hovered, html.theme--documenter-dark .content kbd.button.is-hovered {
+        background-color: #232829;
+        border-color: transparent;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-dark:focus, html.theme--documenter-dark .content kbd.button:focus, html.theme--documenter-dark .button.is-dark.is-focused, html.theme--documenter-dark .content kbd.button.is-focused {
+        border-color: transparent;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-dark:focus:not(:active), html.theme--documenter-dark .content kbd.button:focus:not(:active), html.theme--documenter-dark .button.is-dark.is-focused:not(:active), html.theme--documenter-dark .content kbd.button.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); }
+      html.theme--documenter-dark .button.is-dark:active, html.theme--documenter-dark .content kbd.button:active, html.theme--documenter-dark .button.is-dark.is-active, html.theme--documenter-dark .content kbd.button.is-active {
+        background-color: #1d2122;
+        border-color: transparent;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .button.is-dark[disabled], html.theme--documenter-dark .content kbd.button[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark, fieldset[disabled] html.theme--documenter-dark .content kbd.button {
+        background-color: #282f2f;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-dark.is-inverted, html.theme--documenter-dark .content kbd.button.is-inverted {
+        background-color: #ecf0f1;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-dark.is-inverted:hover, html.theme--documenter-dark .content kbd.button.is-inverted:hover, html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered, html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered {
+          background-color: #dde4e6; }
+        html.theme--documenter-dark .button.is-dark.is-inverted[disabled], html.theme--documenter-dark .content kbd.button.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted {
+          background-color: #ecf0f1;
+          border-color: transparent;
+          box-shadow: none;
+          color: #282f2f; }
+      html.theme--documenter-dark .button.is-dark.is-loading::after, html.theme--documenter-dark .content kbd.button.is-loading::after {
+        border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+      html.theme--documenter-dark .button.is-dark.is-outlined, html.theme--documenter-dark .content kbd.button.is-outlined {
+        background-color: transparent;
+        border-color: #282f2f;
+        color: #282f2f; }
+        html.theme--documenter-dark .button.is-dark.is-outlined:hover, html.theme--documenter-dark .content kbd.button.is-outlined:hover, html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered, html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered, html.theme--documenter-dark .button.is-dark.is-outlined:focus, html.theme--documenter-dark .content kbd.button.is-outlined:focus, html.theme--documenter-dark .button.is-dark.is-outlined.is-focused, html.theme--documenter-dark .content kbd.button.is-outlined.is-focused {
+          background-color: #282f2f;
+          border-color: #282f2f;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after {
+          border-color: transparent transparent #282f2f #282f2f !important; }
+        html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #ecf0f1 #ecf0f1 !important; }
+        html.theme--documenter-dark .button.is-dark.is-outlined[disabled], html.theme--documenter-dark .content kbd.button.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined {
+          background-color: transparent;
+          border-color: #282f2f;
+          box-shadow: none;
+          color: #282f2f; }
+      html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #ecf0f1;
+        color: #ecf0f1; }
+        html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused {
+          background-color: #ecf0f1;
+          color: #282f2f; }
+        html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #282f2f #282f2f !important; }
+        html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled], html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #ecf0f1;
+          box-shadow: none;
+          color: #ecf0f1; }
+    html.theme--documenter-dark .button.is-primary, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink {
+      background-color: #375a7f;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-primary:hover, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-hovered.docs-sourcelink {
+        background-color: #335476;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-primary:focus, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-primary:focus:not(:active), html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus:not(:active), html.theme--documenter-dark .button.is-primary.is-focused:not(:active), html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); }
+      html.theme--documenter-dark .button.is-primary:active, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:active, html.theme--documenter-dark .button.is-primary.is-active, html.theme--documenter-dark .docstring > section > a.button.is-active.docs-sourcelink {
+        background-color: #2f4d6d;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-primary[disabled], html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink {
+        background-color: #375a7f;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-primary.is-inverted, html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink {
+        background-color: #fff;
+        color: #375a7f; }
+        html.theme--documenter-dark .button.is-primary.is-inverted:hover, html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-inverted.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-hovered.docs-sourcelink {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-primary.is-inverted[disabled], html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #375a7f; }
+      html.theme--documenter-dark .button.is-primary.is-loading::after, html.theme--documenter-dark .docstring > section > a.button.is-loading.docs-sourcelink::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-primary.is-outlined, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #375a7f;
+        color: #375a7f; }
+        html.theme--documenter-dark .button.is-primary.is-outlined:hover, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-outlined.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-outlined:focus, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-outlined.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-focused.docs-sourcelink {
+          background-color: #375a7f;
+          border-color: #375a7f;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-primary.is-outlined.is-loading::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink::after {
+          border-color: transparent transparent #375a7f #375a7f !important; }
+        html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:hover::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:hover::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:focus::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:focus::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-primary.is-outlined[disabled], html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-outlined, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink {
+          background-color: transparent;
+          border-color: #375a7f;
+          box-shadow: none;
+          color: #375a7f; }
+      html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined:hover, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined:focus, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-focused.docs-sourcelink {
+          background-color: #fff;
+          color: #375a7f; }
+        html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+          border-color: transparent transparent #375a7f #375a7f !important; }
+        html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined[disabled], html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-link {
+      background-color: #1abc9c;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-link:hover, html.theme--documenter-dark .button.is-link.is-hovered {
+        background-color: #18b193;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-link:focus, html.theme--documenter-dark .button.is-link.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-link:focus:not(:active), html.theme--documenter-dark .button.is-link.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+      html.theme--documenter-dark .button.is-link:active, html.theme--documenter-dark .button.is-link.is-active {
+        background-color: #17a689;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-link[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link {
+        background-color: #1abc9c;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-link.is-inverted {
+        background-color: #fff;
+        color: #1abc9c; }
+        html.theme--documenter-dark .button.is-link.is-inverted:hover, html.theme--documenter-dark .button.is-link.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-link.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #1abc9c; }
+      html.theme--documenter-dark .button.is-link.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-link.is-outlined {
+        background-color: transparent;
+        border-color: #1abc9c;
+        color: #1abc9c; }
+        html.theme--documenter-dark .button.is-link.is-outlined:hover, html.theme--documenter-dark .button.is-link.is-outlined.is-hovered, html.theme--documenter-dark .button.is-link.is-outlined:focus, html.theme--documenter-dark .button.is-link.is-outlined.is-focused {
+          background-color: #1abc9c;
+          border-color: #1abc9c;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-link.is-outlined.is-loading::after {
+          border-color: transparent transparent #1abc9c #1abc9c !important; }
+        html.theme--documenter-dark .button.is-link.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-link.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-outlined {
+          background-color: transparent;
+          border-color: #1abc9c;
+          box-shadow: none;
+          color: #1abc9c; }
+      html.theme--documenter-dark .button.is-link.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #1abc9c; }
+        html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #1abc9c #1abc9c !important; }
+        html.theme--documenter-dark .button.is-link.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-info {
+      background-color: #024c7d;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-info:hover, html.theme--documenter-dark .button.is-info.is-hovered {
+        background-color: #024470;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-info:focus, html.theme--documenter-dark .button.is-info.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-info:focus:not(:active), html.theme--documenter-dark .button.is-info.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); }
+      html.theme--documenter-dark .button.is-info:active, html.theme--documenter-dark .button.is-info.is-active {
+        background-color: #023d64;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-info[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info {
+        background-color: #024c7d;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-info.is-inverted {
+        background-color: #fff;
+        color: #024c7d; }
+        html.theme--documenter-dark .button.is-info.is-inverted:hover, html.theme--documenter-dark .button.is-info.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-info.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #024c7d; }
+      html.theme--documenter-dark .button.is-info.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-info.is-outlined {
+        background-color: transparent;
+        border-color: #024c7d;
+        color: #024c7d; }
+        html.theme--documenter-dark .button.is-info.is-outlined:hover, html.theme--documenter-dark .button.is-info.is-outlined.is-hovered, html.theme--documenter-dark .button.is-info.is-outlined:focus, html.theme--documenter-dark .button.is-info.is-outlined.is-focused {
+          background-color: #024c7d;
+          border-color: #024c7d;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-info.is-outlined.is-loading::after {
+          border-color: transparent transparent #024c7d #024c7d !important; }
+        html.theme--documenter-dark .button.is-info.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-info.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-outlined {
+          background-color: transparent;
+          border-color: #024c7d;
+          box-shadow: none;
+          color: #024c7d; }
+      html.theme--documenter-dark .button.is-info.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #024c7d; }
+        html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #024c7d #024c7d !important; }
+        html.theme--documenter-dark .button.is-info.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-success {
+      background-color: #008438;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-success:hover, html.theme--documenter-dark .button.is-success.is-hovered {
+        background-color: #007733;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-success:focus, html.theme--documenter-dark .button.is-success.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-success:focus:not(:active), html.theme--documenter-dark .button.is-success.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); }
+      html.theme--documenter-dark .button.is-success:active, html.theme--documenter-dark .button.is-success.is-active {
+        background-color: #006b2d;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-success[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success {
+        background-color: #008438;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-success.is-inverted {
+        background-color: #fff;
+        color: #008438; }
+        html.theme--documenter-dark .button.is-success.is-inverted:hover, html.theme--documenter-dark .button.is-success.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-success.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #008438; }
+      html.theme--documenter-dark .button.is-success.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-success.is-outlined {
+        background-color: transparent;
+        border-color: #008438;
+        color: #008438; }
+        html.theme--documenter-dark .button.is-success.is-outlined:hover, html.theme--documenter-dark .button.is-success.is-outlined.is-hovered, html.theme--documenter-dark .button.is-success.is-outlined:focus, html.theme--documenter-dark .button.is-success.is-outlined.is-focused {
+          background-color: #008438;
+          border-color: #008438;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-success.is-outlined.is-loading::after {
+          border-color: transparent transparent #008438 #008438 !important; }
+        html.theme--documenter-dark .button.is-success.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-success.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-outlined {
+          background-color: transparent;
+          border-color: #008438;
+          box-shadow: none;
+          color: #008438; }
+      html.theme--documenter-dark .button.is-success.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #008438; }
+        html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #008438 #008438 !important; }
+        html.theme--documenter-dark .button.is-success.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-warning {
+      background-color: #ad8100;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-warning:hover, html.theme--documenter-dark .button.is-warning.is-hovered {
+        background-color: #a07700;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-warning:focus, html.theme--documenter-dark .button.is-warning.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-warning:focus:not(:active), html.theme--documenter-dark .button.is-warning.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); }
+      html.theme--documenter-dark .button.is-warning:active, html.theme--documenter-dark .button.is-warning.is-active {
+        background-color: #946e00;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-warning[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning {
+        background-color: #ad8100;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-warning.is-inverted {
+        background-color: #fff;
+        color: #ad8100; }
+        html.theme--documenter-dark .button.is-warning.is-inverted:hover, html.theme--documenter-dark .button.is-warning.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-warning.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #ad8100; }
+      html.theme--documenter-dark .button.is-warning.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-warning.is-outlined {
+        background-color: transparent;
+        border-color: #ad8100;
+        color: #ad8100; }
+        html.theme--documenter-dark .button.is-warning.is-outlined:hover, html.theme--documenter-dark .button.is-warning.is-outlined.is-hovered, html.theme--documenter-dark .button.is-warning.is-outlined:focus, html.theme--documenter-dark .button.is-warning.is-outlined.is-focused {
+          background-color: #ad8100;
+          border-color: #ad8100;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-warning.is-outlined.is-loading::after {
+          border-color: transparent transparent #ad8100 #ad8100 !important; }
+        html.theme--documenter-dark .button.is-warning.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-warning.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-outlined {
+          background-color: transparent;
+          border-color: #ad8100;
+          box-shadow: none;
+          color: #ad8100; }
+      html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #ad8100; }
+        html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #ad8100 #ad8100 !important; }
+        html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-danger {
+      background-color: #9e1b0d;
+      border-color: transparent;
+      color: #fff; }
+      html.theme--documenter-dark .button.is-danger:hover, html.theme--documenter-dark .button.is-danger.is-hovered {
+        background-color: #92190c;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-danger:focus, html.theme--documenter-dark .button.is-danger.is-focused {
+        border-color: transparent;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-danger:focus:not(:active), html.theme--documenter-dark .button.is-danger.is-focused:not(:active) {
+          box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); }
+      html.theme--documenter-dark .button.is-danger:active, html.theme--documenter-dark .button.is-danger.is-active {
+        background-color: #86170b;
+        border-color: transparent;
+        color: #fff; }
+      html.theme--documenter-dark .button.is-danger[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger {
+        background-color: #9e1b0d;
+        border-color: transparent;
+        box-shadow: none; }
+      html.theme--documenter-dark .button.is-danger.is-inverted {
+        background-color: #fff;
+        color: #9e1b0d; }
+        html.theme--documenter-dark .button.is-danger.is-inverted:hover, html.theme--documenter-dark .button.is-danger.is-inverted.is-hovered {
+          background-color: #f2f2f2; }
+        html.theme--documenter-dark .button.is-danger.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted {
+          background-color: #fff;
+          border-color: transparent;
+          box-shadow: none;
+          color: #9e1b0d; }
+      html.theme--documenter-dark .button.is-danger.is-loading::after {
+        border-color: transparent transparent #fff #fff !important; }
+      html.theme--documenter-dark .button.is-danger.is-outlined {
+        background-color: transparent;
+        border-color: #9e1b0d;
+        color: #9e1b0d; }
+        html.theme--documenter-dark .button.is-danger.is-outlined:hover, html.theme--documenter-dark .button.is-danger.is-outlined.is-hovered, html.theme--documenter-dark .button.is-danger.is-outlined:focus, html.theme--documenter-dark .button.is-danger.is-outlined.is-focused {
+          background-color: #9e1b0d;
+          border-color: #9e1b0d;
+          color: #fff; }
+        html.theme--documenter-dark .button.is-danger.is-outlined.is-loading::after {
+          border-color: transparent transparent #9e1b0d #9e1b0d !important; }
+        html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #fff #fff !important; }
+        html.theme--documenter-dark .button.is-danger.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-outlined {
+          background-color: transparent;
+          border-color: #9e1b0d;
+          box-shadow: none;
+          color: #9e1b0d; }
+      html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        color: #fff; }
+        html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused {
+          background-color: #fff;
+          color: #9e1b0d; }
+        html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after {
+          border-color: transparent transparent #9e1b0d #9e1b0d !important; }
+        html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined {
+          background-color: transparent;
+          border-color: #fff;
+          box-shadow: none;
+          color: #fff; }
+    html.theme--documenter-dark .button.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.button {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .button.is-normal {
+      font-size: 15px; }
+    html.theme--documenter-dark .button.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .button.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .button[disabled], fieldset[disabled] html.theme--documenter-dark .button {
+      background-color: #8c9b9d;
+      border-color: #dbdee0;
+      box-shadow: none;
+      opacity: 0.5; }
+    html.theme--documenter-dark .button.is-fullwidth {
+      display: flex;
+      width: 100%; }
+    html.theme--documenter-dark .button.is-loading {
+      color: transparent !important;
+      pointer-events: none; }
+      html.theme--documenter-dark .button.is-loading::after {
+        position: absolute;
+        left: calc(50% - (1em / 2));
+        top: calc(50% - (1em / 2));
+        position: absolute !important; }
+    html.theme--documenter-dark .button.is-static {
+      background-color: #282f2f;
+      border-color: #5e6d6f;
+      color: #dbdee0;
+      box-shadow: none;
+      pointer-events: none; }
+    html.theme--documenter-dark .button.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.button {
+      border-radius: 290486px;
+      padding-left: 1em;
+      padding-right: 1em; }
+  html.theme--documenter-dark .buttons {
+    align-items: center;
+    display: flex;
+    flex-wrap: wrap;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .buttons .button {
+      margin-bottom: 0.5rem; }
+      html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth) {
+        margin-right: 0.5rem; }
+    html.theme--documenter-dark .buttons:last-child {
+      margin-bottom: -0.5rem; }
+    html.theme--documenter-dark .buttons:not(:last-child) {
+      margin-bottom: 1rem; }
+    html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large) {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large) {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium) {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .buttons.has-addons .button:not(:first-child) {
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    html.theme--documenter-dark .buttons.has-addons .button:not(:last-child) {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0;
+      margin-right: -1px; }
+    html.theme--documenter-dark .buttons.has-addons .button:last-child {
+      margin-right: 0; }
+    html.theme--documenter-dark .buttons.has-addons .button:hover, html.theme--documenter-dark .buttons.has-addons .button.is-hovered {
+      z-index: 2; }
+    html.theme--documenter-dark .buttons.has-addons .button:focus, html.theme--documenter-dark .buttons.has-addons .button.is-focused, html.theme--documenter-dark .buttons.has-addons .button:active, html.theme--documenter-dark .buttons.has-addons .button.is-active, html.theme--documenter-dark .buttons.has-addons .button.is-selected {
+      z-index: 3; }
+      html.theme--documenter-dark .buttons.has-addons .button:focus:hover, html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover, html.theme--documenter-dark .buttons.has-addons .button:active:hover, html.theme--documenter-dark .buttons.has-addons .button.is-active:hover, html.theme--documenter-dark .buttons.has-addons .button.is-selected:hover {
+        z-index: 4; }
+    html.theme--documenter-dark .buttons.has-addons .button.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .buttons.is-centered {
+      justify-content: center; }
+      html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth) {
+        margin-left: 0.25rem;
+        margin-right: 0.25rem; }
+    html.theme--documenter-dark .buttons.is-right {
+      justify-content: flex-end; }
+      html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth) {
+        margin-left: 0.25rem;
+        margin-right: 0.25rem; }
+  html.theme--documenter-dark .container {
+    flex-grow: 1;
+    margin: 0 auto;
+    position: relative;
+    width: auto; }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .container {
+        max-width: 992px; }
+        html.theme--documenter-dark .container.is-fluid {
+          margin-left: 32px;
+          margin-right: 32px;
+          max-width: none; } }
+    @media screen and (max-width: 1215px) {
+      html.theme--documenter-dark .container.is-widescreen {
+        max-width: 1152px; } }
+    @media screen and (max-width: 1407px) {
+      html.theme--documenter-dark .container.is-fullhd {
+        max-width: 1344px; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .container {
+        max-width: 1152px; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .container {
+        max-width: 1344px; } }
+  html.theme--documenter-dark .content li + li {
+    margin-top: 0.25em; }
+  html.theme--documenter-dark .content p:not(:last-child),
+  html.theme--documenter-dark .content dl:not(:last-child),
+  html.theme--documenter-dark .content ol:not(:last-child),
+  html.theme--documenter-dark .content ul:not(:last-child),
+  html.theme--documenter-dark .content blockquote:not(:last-child),
+  html.theme--documenter-dark .content pre:not(:last-child),
+  html.theme--documenter-dark .content table:not(:last-child) {
+    margin-bottom: 1em; }
+  html.theme--documenter-dark .content h1,
+  html.theme--documenter-dark .content h2,
+  html.theme--documenter-dark .content h3,
+  html.theme--documenter-dark .content h4,
+  html.theme--documenter-dark .content h5,
+  html.theme--documenter-dark .content h6 {
+    color: #f2f2f2;
+    font-weight: 600;
+    line-height: 1.125; }
+  html.theme--documenter-dark .content h1 {
+    font-size: 2em;
+    margin-bottom: 0.5em; }
+    html.theme--documenter-dark .content h1:not(:first-child) {
+      margin-top: 1em; }
+  html.theme--documenter-dark .content h2 {
+    font-size: 1.75em;
+    margin-bottom: 0.5714em; }
+    html.theme--documenter-dark .content h2:not(:first-child) {
+      margin-top: 1.1428em; }
+  html.theme--documenter-dark .content h3 {
+    font-size: 1.5em;
+    margin-bottom: 0.6666em; }
+    html.theme--documenter-dark .content h3:not(:first-child) {
+      margin-top: 1.3333em; }
+  html.theme--documenter-dark .content h4 {
+    font-size: 1.25em;
+    margin-bottom: 0.8em; }
+  html.theme--documenter-dark .content h5 {
+    font-size: 1.125em;
+    margin-bottom: 0.8888em; }
+  html.theme--documenter-dark .content h6 {
+    font-size: 1em;
+    margin-bottom: 1em; }
+  html.theme--documenter-dark .content blockquote {
+    background-color: #282f2f;
+    border-left: 5px solid #5e6d6f;
+    padding: 1.25em 1.5em; }
+  html.theme--documenter-dark .content ol {
+    list-style-position: outside;
+    margin-left: 2em;
+    margin-top: 1em; }
+    html.theme--documenter-dark .content ol:not([type]) {
+      list-style-type: decimal; }
+      html.theme--documenter-dark .content ol.is-lower-alpha:not([type]) {
+        list-style-type: lower-alpha; }
+      html.theme--documenter-dark .content ol.is-lower-roman:not([type]) {
+        list-style-type: lower-roman; }
+      html.theme--documenter-dark .content ol.is-upper-alpha:not([type]) {
+        list-style-type: upper-alpha; }
+      html.theme--documenter-dark .content ol.is-upper-roman:not([type]) {
+        list-style-type: upper-roman; }
+  html.theme--documenter-dark .content ul {
+    list-style: disc outside;
+    margin-left: 2em;
+    margin-top: 1em; }
+    html.theme--documenter-dark .content ul ul {
+      list-style-type: circle;
+      margin-top: 0.5em; }
+      html.theme--documenter-dark .content ul ul ul {
+        list-style-type: square; }
+  html.theme--documenter-dark .content dd {
+    margin-left: 2em; }
+  html.theme--documenter-dark .content figure {
+    margin-left: 2em;
+    margin-right: 2em;
+    text-align: center; }
+    html.theme--documenter-dark .content figure:not(:first-child) {
+      margin-top: 2em; }
+    html.theme--documenter-dark .content figure:not(:last-child) {
+      margin-bottom: 2em; }
+    html.theme--documenter-dark .content figure img {
+      display: inline-block; }
+    html.theme--documenter-dark .content figure figcaption {
+      font-style: italic; }
+  html.theme--documenter-dark .content pre {
+    -webkit-overflow-scrolling: touch;
+    overflow-x: auto;
+    padding: 0;
+    white-space: pre;
+    word-wrap: normal; }
+  html.theme--documenter-dark .content sup,
+  html.theme--documenter-dark .content sub {
+    font-size: 75%; }
+  html.theme--documenter-dark .content table {
+    width: 100%; }
+    html.theme--documenter-dark .content table td,
+    html.theme--documenter-dark .content table th {
+      border: 1px solid #5e6d6f;
+      border-width: 0 0 1px;
+      padding: 0.5em 0.75em;
+      vertical-align: top; }
+    html.theme--documenter-dark .content table th {
+      color: #f2f2f2; }
+      html.theme--documenter-dark .content table th:not([align]) {
+        text-align: left; }
+    html.theme--documenter-dark .content table thead td,
+    html.theme--documenter-dark .content table thead th {
+      border-width: 0 0 2px;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .content table tfoot td,
+    html.theme--documenter-dark .content table tfoot th {
+      border-width: 2px 0 0;
+      color: #f2f2f2; }
+    html.theme--documenter-dark .content table tbody tr:last-child td,
+    html.theme--documenter-dark .content table tbody tr:last-child th {
+      border-bottom-width: 0; }
+  html.theme--documenter-dark .content .tabs li + li {
+    margin-top: 0; }
+  html.theme--documenter-dark .content.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.content {
+    font-size: 0.85em; }
+  html.theme--documenter-dark .content.is-medium {
+    font-size: 1.25rem; }
+  html.theme--documenter-dark .content.is-large {
+    font-size: 1.5rem; }
+  html.theme--documenter-dark .icon {
+    align-items: center;
+    display: inline-flex;
+    justify-content: center;
+    height: 1.5rem;
+    width: 1.5rem; }
+    html.theme--documenter-dark .icon.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.icon {
+      height: 1rem;
+      width: 1rem; }
+    html.theme--documenter-dark .icon.is-medium {
+      height: 2rem;
+      width: 2rem; }
+    html.theme--documenter-dark .icon.is-large {
+      height: 3rem;
+      width: 3rem; }
+  html.theme--documenter-dark .image, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img {
+    display: block;
+    position: relative; }
+    html.theme--documenter-dark .image img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img img {
+      display: block;
+      height: auto;
+      width: 100%; }
+      html.theme--documenter-dark .image img.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img img.is-rounded {
+        border-radius: 290486px; }
+    html.theme--documenter-dark .image.is-square img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square img,
+    html.theme--documenter-dark .image.is-square .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, html.theme--documenter-dark .image.is-1by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+    html.theme--documenter-dark .image.is-1by1 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, html.theme--documenter-dark .image.is-5by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+    html.theme--documenter-dark .image.is-5by4 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, html.theme--documenter-dark .image.is-4by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+    html.theme--documenter-dark .image.is-4by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, html.theme--documenter-dark .image.is-3by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+    html.theme--documenter-dark .image.is-3by2 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, html.theme--documenter-dark .image.is-5by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+    html.theme--documenter-dark .image.is-5by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, html.theme--documenter-dark .image.is-16by9 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+    html.theme--documenter-dark .image.is-16by9 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, html.theme--documenter-dark .image.is-2by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+    html.theme--documenter-dark .image.is-2by1 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, html.theme--documenter-dark .image.is-3by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+    html.theme--documenter-dark .image.is-3by1 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, html.theme--documenter-dark .image.is-4by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+    html.theme--documenter-dark .image.is-4by5 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, html.theme--documenter-dark .image.is-3by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+    html.theme--documenter-dark .image.is-3by4 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, html.theme--documenter-dark .image.is-2by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+    html.theme--documenter-dark .image.is-2by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, html.theme--documenter-dark .image.is-3by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+    html.theme--documenter-dark .image.is-3by5 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, html.theme--documenter-dark .image.is-9by16 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+    html.theme--documenter-dark .image.is-9by16 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, html.theme--documenter-dark .image.is-1by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+    html.theme--documenter-dark .image.is-1by2 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, html.theme--documenter-dark .image.is-1by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+    html.theme--documenter-dark .image.is-1by3 .has-ratio,
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio {
+      height: 100%;
+      width: 100%; }
+    html.theme--documenter-dark .image.is-square, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square, html.theme--documenter-dark .image.is-1by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 {
+      padding-top: 100%; }
+    html.theme--documenter-dark .image.is-5by4, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 {
+      padding-top: 80%; }
+    html.theme--documenter-dark .image.is-4by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 {
+      padding-top: 75%; }
+    html.theme--documenter-dark .image.is-3by2, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 {
+      padding-top: 66.6666%; }
+    html.theme--documenter-dark .image.is-5by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 {
+      padding-top: 60%; }
+    html.theme--documenter-dark .image.is-16by9, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 {
+      padding-top: 56.25%; }
+    html.theme--documenter-dark .image.is-2by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 {
+      padding-top: 50%; }
+    html.theme--documenter-dark .image.is-3by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 {
+      padding-top: 33.3333%; }
+    html.theme--documenter-dark .image.is-4by5, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 {
+      padding-top: 125%; }
+    html.theme--documenter-dark .image.is-3by4, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 {
+      padding-top: 133.3333%; }
+    html.theme--documenter-dark .image.is-2by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 {
+      padding-top: 150%; }
+    html.theme--documenter-dark .image.is-3by5, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 {
+      padding-top: 166.6666%; }
+    html.theme--documenter-dark .image.is-9by16, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 {
+      padding-top: 177.7777%; }
+    html.theme--documenter-dark .image.is-1by2, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 {
+      padding-top: 200%; }
+    html.theme--documenter-dark .image.is-1by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 {
+      padding-top: 300%; }
+    html.theme--documenter-dark .image.is-16x16, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16x16 {
+      height: 16px;
+      width: 16px; }
+    html.theme--documenter-dark .image.is-24x24, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-24x24 {
+      height: 24px;
+      width: 24px; }
+    html.theme--documenter-dark .image.is-32x32, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-32x32 {
+      height: 32px;
+      width: 32px; }
+    html.theme--documenter-dark .image.is-48x48, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-48x48 {
+      height: 48px;
+      width: 48px; }
+    html.theme--documenter-dark .image.is-64x64, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-64x64 {
+      height: 64px;
+      width: 64px; }
+    html.theme--documenter-dark .image.is-96x96, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-96x96 {
+      height: 96px;
+      width: 96px; }
+    html.theme--documenter-dark .image.is-128x128, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-128x128 {
+      height: 128px;
+      width: 128px; }
+  html.theme--documenter-dark .notification {
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    padding: 1.25rem 2.5rem 1.25rem 1.5rem;
+    position: relative; }
+    html.theme--documenter-dark .notification a:not(.button):not(.dropdown-item) {
+      color: currentColor;
+      text-decoration: underline; }
+    html.theme--documenter-dark .notification strong {
+      color: currentColor; }
+    html.theme--documenter-dark .notification code,
+    html.theme--documenter-dark .notification pre {
+      background: white; }
+    html.theme--documenter-dark .notification pre code {
+      background: transparent; }
+    html.theme--documenter-dark .notification > .delete {
+      position: absolute;
+      right: 0.5rem;
+      top: 0.5rem; }
+    html.theme--documenter-dark .notification .title,
+    html.theme--documenter-dark .notification .subtitle,
+    html.theme--documenter-dark .notification .content {
+      color: currentColor; }
+    html.theme--documenter-dark .notification.is-white {
+      background-color: white;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .notification.is-black {
+      background-color: #0a0a0a;
+      color: white; }
+    html.theme--documenter-dark .notification.is-light {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+    html.theme--documenter-dark .notification.is-dark, html.theme--documenter-dark .content kbd.notification {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .notification.is-primary, html.theme--documenter-dark .docstring > section > a.notification.docs-sourcelink {
+      background-color: #375a7f;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-link {
+      background-color: #1abc9c;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-info {
+      background-color: #024c7d;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-success {
+      background-color: #008438;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-warning {
+      background-color: #ad8100;
+      color: #fff; }
+    html.theme--documenter-dark .notification.is-danger {
+      background-color: #9e1b0d;
+      color: #fff; }
+  html.theme--documenter-dark .progress {
+    -moz-appearance: none;
+    -webkit-appearance: none;
+    border: none;
+    border-radius: 290486px;
+    display: block;
+    height: 15px;
+    overflow: hidden;
+    padding: 0;
+    width: 100%; }
+    html.theme--documenter-dark .progress::-webkit-progress-bar {
+      background-color: #5e6d6f; }
+    html.theme--documenter-dark .progress::-webkit-progress-value {
+      background-color: #dbdee0; }
+    html.theme--documenter-dark .progress::-moz-progress-bar {
+      background-color: #dbdee0; }
+    html.theme--documenter-dark .progress::-ms-fill {
+      background-color: #dbdee0;
+      border: none; }
+    html.theme--documenter-dark .progress.is-white::-webkit-progress-value {
+      background-color: white; }
+    html.theme--documenter-dark .progress.is-white::-moz-progress-bar {
+      background-color: white; }
+    html.theme--documenter-dark .progress.is-white::-ms-fill {
+      background-color: white; }
+    html.theme--documenter-dark .progress.is-white:indeterminate {
+      background-image: linear-gradient(to right, white 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-black::-webkit-progress-value {
+      background-color: #0a0a0a; }
+    html.theme--documenter-dark .progress.is-black::-moz-progress-bar {
+      background-color: #0a0a0a; }
+    html.theme--documenter-dark .progress.is-black::-ms-fill {
+      background-color: #0a0a0a; }
+    html.theme--documenter-dark .progress.is-black:indeterminate {
+      background-image: linear-gradient(to right, #0a0a0a 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-light::-webkit-progress-value {
+      background-color: #ecf0f1; }
+    html.theme--documenter-dark .progress.is-light::-moz-progress-bar {
+      background-color: #ecf0f1; }
+    html.theme--documenter-dark .progress.is-light::-ms-fill {
+      background-color: #ecf0f1; }
+    html.theme--documenter-dark .progress.is-light:indeterminate {
+      background-image: linear-gradient(to right, #ecf0f1 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-dark::-webkit-progress-value, html.theme--documenter-dark .content kbd.progress::-webkit-progress-value {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .progress.is-dark::-moz-progress-bar, html.theme--documenter-dark .content kbd.progress::-moz-progress-bar {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .progress.is-dark::-ms-fill, html.theme--documenter-dark .content kbd.progress::-ms-fill {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .progress.is-dark:indeterminate, html.theme--documenter-dark .content kbd.progress:indeterminate {
+      background-image: linear-gradient(to right, #282f2f 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-primary::-webkit-progress-value, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-webkit-progress-value {
+      background-color: #375a7f; }
+    html.theme--documenter-dark .progress.is-primary::-moz-progress-bar, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-moz-progress-bar {
+      background-color: #375a7f; }
+    html.theme--documenter-dark .progress.is-primary::-ms-fill, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-ms-fill {
+      background-color: #375a7f; }
+    html.theme--documenter-dark .progress.is-primary:indeterminate, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink:indeterminate {
+      background-image: linear-gradient(to right, #375a7f 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-link::-webkit-progress-value {
+      background-color: #1abc9c; }
+    html.theme--documenter-dark .progress.is-link::-moz-progress-bar {
+      background-color: #1abc9c; }
+    html.theme--documenter-dark .progress.is-link::-ms-fill {
+      background-color: #1abc9c; }
+    html.theme--documenter-dark .progress.is-link:indeterminate {
+      background-image: linear-gradient(to right, #1abc9c 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-info::-webkit-progress-value {
+      background-color: #024c7d; }
+    html.theme--documenter-dark .progress.is-info::-moz-progress-bar {
+      background-color: #024c7d; }
+    html.theme--documenter-dark .progress.is-info::-ms-fill {
+      background-color: #024c7d; }
+    html.theme--documenter-dark .progress.is-info:indeterminate {
+      background-image: linear-gradient(to right, #024c7d 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-success::-webkit-progress-value {
+      background-color: #008438; }
+    html.theme--documenter-dark .progress.is-success::-moz-progress-bar {
+      background-color: #008438; }
+    html.theme--documenter-dark .progress.is-success::-ms-fill {
+      background-color: #008438; }
+    html.theme--documenter-dark .progress.is-success:indeterminate {
+      background-image: linear-gradient(to right, #008438 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-warning::-webkit-progress-value {
+      background-color: #ad8100; }
+    html.theme--documenter-dark .progress.is-warning::-moz-progress-bar {
+      background-color: #ad8100; }
+    html.theme--documenter-dark .progress.is-warning::-ms-fill {
+      background-color: #ad8100; }
+    html.theme--documenter-dark .progress.is-warning:indeterminate {
+      background-image: linear-gradient(to right, #ad8100 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress.is-danger::-webkit-progress-value {
+      background-color: #9e1b0d; }
+    html.theme--documenter-dark .progress.is-danger::-moz-progress-bar {
+      background-color: #9e1b0d; }
+    html.theme--documenter-dark .progress.is-danger::-ms-fill {
+      background-color: #9e1b0d; }
+    html.theme--documenter-dark .progress.is-danger:indeterminate {
+      background-image: linear-gradient(to right, #9e1b0d 30%, #5e6d6f 30%); }
+    html.theme--documenter-dark .progress:indeterminate {
+      animation-duration: 1.5s;
+      animation-iteration-count: infinite;
+      animation-name: moveIndeterminate;
+      animation-timing-function: linear;
+      background-color: #5e6d6f;
+      background-image: linear-gradient(to right, #fff 30%, #5e6d6f 30%);
+      background-position: top left;
+      background-repeat: no-repeat;
+      background-size: 150% 150%; }
+      html.theme--documenter-dark .progress:indeterminate::-webkit-progress-bar {
+        background-color: transparent; }
+      html.theme--documenter-dark .progress:indeterminate::-moz-progress-bar {
+        background-color: transparent; }
+    html.theme--documenter-dark .progress.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.progress {
+      height: 0.85em; }
+    html.theme--documenter-dark .progress.is-medium {
+      height: 1.25rem; }
+    html.theme--documenter-dark .progress.is-large {
+      height: 1.5rem; }
+
+@keyframes moveIndeterminate {
+  from {
+    background-position: 200% 0; }
+  to {
+    background-position: -200% 0; } }
+  html.theme--documenter-dark .table {
+    background-color: #343c3d;
+    color: #fff; }
+    html.theme--documenter-dark .table td,
+    html.theme--documenter-dark .table th {
+      border: 1px solid #5e6d6f;
+      border-width: 0 0 1px;
+      padding: 0.5em 0.75em;
+      vertical-align: top; }
+      html.theme--documenter-dark .table td.is-white,
+      html.theme--documenter-dark .table th.is-white {
+        background-color: white;
+        border-color: white;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .table td.is-black,
+      html.theme--documenter-dark .table th.is-black {
+        background-color: #0a0a0a;
+        border-color: #0a0a0a;
+        color: white; }
+      html.theme--documenter-dark .table td.is-light,
+      html.theme--documenter-dark .table th.is-light {
+        background-color: #ecf0f1;
+        border-color: #ecf0f1;
+        color: #282f2f; }
+      html.theme--documenter-dark .table td.is-dark,
+      html.theme--documenter-dark .table th.is-dark {
+        background-color: #282f2f;
+        border-color: #282f2f;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .table td.is-primary,
+      html.theme--documenter-dark .table th.is-primary {
+        background-color: #375a7f;
+        border-color: #375a7f;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-link,
+      html.theme--documenter-dark .table th.is-link {
+        background-color: #1abc9c;
+        border-color: #1abc9c;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-info,
+      html.theme--documenter-dark .table th.is-info {
+        background-color: #024c7d;
+        border-color: #024c7d;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-success,
+      html.theme--documenter-dark .table th.is-success {
+        background-color: #008438;
+        border-color: #008438;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-warning,
+      html.theme--documenter-dark .table th.is-warning {
+        background-color: #ad8100;
+        border-color: #ad8100;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-danger,
+      html.theme--documenter-dark .table th.is-danger {
+        background-color: #9e1b0d;
+        border-color: #9e1b0d;
+        color: #fff; }
+      html.theme--documenter-dark .table td.is-narrow,
+      html.theme--documenter-dark .table th.is-narrow {
+        white-space: nowrap;
+        width: 1%; }
+      html.theme--documenter-dark .table td.is-selected,
+      html.theme--documenter-dark .table th.is-selected {
+        background-color: #375a7f;
+        color: #fff; }
+        html.theme--documenter-dark .table td.is-selected a,
+        html.theme--documenter-dark .table td.is-selected strong,
+        html.theme--documenter-dark .table th.is-selected a,
+        html.theme--documenter-dark .table th.is-selected strong {
+          color: currentColor; }
+    html.theme--documenter-dark .table th {
+      color: #f2f2f2; }
+      html.theme--documenter-dark .table th:not([align]) {
+        text-align: left; }
+    html.theme--documenter-dark .table tr.is-selected {
+      background-color: #375a7f;
+      color: #fff; }
+      html.theme--documenter-dark .table tr.is-selected a,
+      html.theme--documenter-dark .table tr.is-selected strong {
+        color: currentColor; }
+      html.theme--documenter-dark .table tr.is-selected td,
+      html.theme--documenter-dark .table tr.is-selected th {
+        border-color: #fff;
+        color: currentColor; }
+    html.theme--documenter-dark .table thead {
+      background-color: transparent; }
+      html.theme--documenter-dark .table thead td,
+      html.theme--documenter-dark .table thead th {
+        border-width: 0 0 2px;
+        color: #f2f2f2; }
+    html.theme--documenter-dark .table tfoot {
+      background-color: transparent; }
+      html.theme--documenter-dark .table tfoot td,
+      html.theme--documenter-dark .table tfoot th {
+        border-width: 2px 0 0;
+        color: #f2f2f2; }
+    html.theme--documenter-dark .table tbody {
+      background-color: transparent; }
+      html.theme--documenter-dark .table tbody tr:last-child td,
+      html.theme--documenter-dark .table tbody tr:last-child th {
+        border-bottom-width: 0; }
+    html.theme--documenter-dark .table.is-bordered td,
+    html.theme--documenter-dark .table.is-bordered th {
+      border-width: 1px; }
+    html.theme--documenter-dark .table.is-bordered tr:last-child td,
+    html.theme--documenter-dark .table.is-bordered tr:last-child th {
+      border-bottom-width: 1px; }
+    html.theme--documenter-dark .table.is-fullwidth {
+      width: 100%; }
+    html.theme--documenter-dark .table.is-hoverable tbody tr:not(.is-selected):hover {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover {
+      background-color: #282f2f; }
+      html.theme--documenter-dark .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover:nth-child(even) {
+        background-color: #2d3435; }
+    html.theme--documenter-dark .table.is-narrow td,
+    html.theme--documenter-dark .table.is-narrow th {
+      padding: 0.25em 0.5em; }
+    html.theme--documenter-dark .table.is-striped tbody tr:not(.is-selected):nth-child(even) {
+      background-color: #282f2f; }
+  html.theme--documenter-dark .table-container {
+    -webkit-overflow-scrolling: touch;
+    overflow: auto;
+    overflow-y: hidden;
+    max-width: 100%; }
+  html.theme--documenter-dark .tags {
+    align-items: center;
+    display: flex;
+    flex-wrap: wrap;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .tags .tag, html.theme--documenter-dark .tags .content kbd, html.theme--documenter-dark .content .tags kbd, html.theme--documenter-dark .tags .docstring > section > a.docs-sourcelink {
+      margin-bottom: 0.5rem; }
+      html.theme--documenter-dark .tags .tag:not(:last-child), html.theme--documenter-dark .tags .content kbd:not(:last-child), html.theme--documenter-dark .content .tags kbd:not(:last-child), html.theme--documenter-dark .tags .docstring > section > a.docs-sourcelink:not(:last-child) {
+        margin-right: 0.5rem; }
+    html.theme--documenter-dark .tags:last-child {
+      margin-bottom: -0.5rem; }
+    html.theme--documenter-dark .tags:not(:last-child) {
+      margin-bottom: 1rem; }
+    html.theme--documenter-dark .tags.are-medium .tag:not(.is-normal):not(.is-large), html.theme--documenter-dark .tags.are-medium .content kbd:not(.is-normal):not(.is-large), html.theme--documenter-dark .content .tags.are-medium kbd:not(.is-normal):not(.is-large), html.theme--documenter-dark .tags.are-medium .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-large) {
+      font-size: 15px; }
+    html.theme--documenter-dark .tags.are-large .tag:not(.is-normal):not(.is-medium), html.theme--documenter-dark .tags.are-large .content kbd:not(.is-normal):not(.is-medium), html.theme--documenter-dark .content .tags.are-large kbd:not(.is-normal):not(.is-medium), html.theme--documenter-dark .tags.are-large .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-medium) {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .tags.is-centered {
+      justify-content: center; }
+      html.theme--documenter-dark .tags.is-centered .tag, html.theme--documenter-dark .tags.is-centered .content kbd, html.theme--documenter-dark .content .tags.is-centered kbd, html.theme--documenter-dark .tags.is-centered .docstring > section > a.docs-sourcelink {
+        margin-right: 0.25rem;
+        margin-left: 0.25rem; }
+    html.theme--documenter-dark .tags.is-right {
+      justify-content: flex-end; }
+      html.theme--documenter-dark .tags.is-right .tag:not(:first-child), html.theme--documenter-dark .tags.is-right .content kbd:not(:first-child), html.theme--documenter-dark .content .tags.is-right kbd:not(:first-child), html.theme--documenter-dark .tags.is-right .docstring > section > a.docs-sourcelink:not(:first-child) {
+        margin-left: 0.5rem; }
+      html.theme--documenter-dark .tags.is-right .tag:not(:last-child), html.theme--documenter-dark .tags.is-right .content kbd:not(:last-child), html.theme--documenter-dark .content .tags.is-right kbd:not(:last-child), html.theme--documenter-dark .tags.is-right .docstring > section > a.docs-sourcelink:not(:last-child) {
+        margin-right: 0; }
+    html.theme--documenter-dark .tags.has-addons .tag, html.theme--documenter-dark .tags.has-addons .content kbd, html.theme--documenter-dark .content .tags.has-addons kbd, html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink {
+      margin-right: 0; }
+      html.theme--documenter-dark .tags.has-addons .tag:not(:first-child), html.theme--documenter-dark .tags.has-addons .content kbd:not(:first-child), html.theme--documenter-dark .content .tags.has-addons kbd:not(:first-child), html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink:not(:first-child) {
+        margin-left: 0;
+        border-bottom-left-radius: 0;
+        border-top-left-radius: 0; }
+      html.theme--documenter-dark .tags.has-addons .tag:not(:last-child), html.theme--documenter-dark .tags.has-addons .content kbd:not(:last-child), html.theme--documenter-dark .content .tags.has-addons kbd:not(:last-child), html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink:not(:last-child) {
+        border-bottom-right-radius: 0;
+        border-top-right-radius: 0; }
+  html.theme--documenter-dark .tag:not(body), html.theme--documenter-dark .content kbd:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) {
+    align-items: center;
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    color: #fff;
+    display: inline-flex;
+    font-size: 0.85em;
+    height: 2em;
+    justify-content: center;
+    line-height: 1.5;
+    padding-left: 0.75em;
+    padding-right: 0.75em;
+    white-space: nowrap; }
+    html.theme--documenter-dark .tag:not(body) .delete, html.theme--documenter-dark .content kbd:not(body) .delete, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .delete {
+      margin-left: 0.25rem;
+      margin-right: -0.375rem; }
+    html.theme--documenter-dark .tag.is-white:not(body), html.theme--documenter-dark .content kbd.is-white:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-white:not(body) {
+      background-color: white;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .tag.is-black:not(body), html.theme--documenter-dark .content kbd.is-black:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-black:not(body) {
+      background-color: #0a0a0a;
+      color: white; }
+    html.theme--documenter-dark .tag.is-light:not(body), html.theme--documenter-dark .content kbd.is-light:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-light:not(body) {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+    html.theme--documenter-dark .tag.is-dark:not(body), html.theme--documenter-dark .content kbd:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-dark:not(body), html.theme--documenter-dark .content .docstring > section > kbd:not(body) {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .tag.is-primary:not(body), html.theme--documenter-dark .content kbd.is-primary:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) {
+      background-color: #375a7f;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-link:not(body), html.theme--documenter-dark .content kbd.is-link:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-link:not(body) {
+      background-color: #1abc9c;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-info:not(body), html.theme--documenter-dark .content kbd.is-info:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-info:not(body) {
+      background-color: #024c7d;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-success:not(body), html.theme--documenter-dark .content kbd.is-success:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-success:not(body) {
+      background-color: #008438;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-warning:not(body), html.theme--documenter-dark .content kbd.is-warning:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-warning:not(body) {
+      background-color: #ad8100;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-danger:not(body), html.theme--documenter-dark .content kbd.is-danger:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-danger:not(body) {
+      background-color: #9e1b0d;
+      color: #fff; }
+    html.theme--documenter-dark .tag.is-normal:not(body), html.theme--documenter-dark .content kbd.is-normal:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-normal:not(body) {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .tag.is-medium:not(body), html.theme--documenter-dark .content kbd.is-medium:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-medium:not(body) {
+      font-size: 15px; }
+    html.theme--documenter-dark .tag.is-large:not(body), html.theme--documenter-dark .content kbd.is-large:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-large:not(body) {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .tag:not(body) .icon:first-child:not(:last-child), html.theme--documenter-dark .content kbd:not(body) .icon:first-child:not(:last-child), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:not(:last-child) {
+      margin-left: -0.375em;
+      margin-right: 0.1875em; }
+    html.theme--documenter-dark .tag:not(body) .icon:last-child:not(:first-child), html.theme--documenter-dark .content kbd:not(body) .icon:last-child:not(:first-child), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:last-child:not(:first-child) {
+      margin-left: 0.1875em;
+      margin-right: -0.375em; }
+    html.theme--documenter-dark .tag:not(body) .icon:first-child:last-child, html.theme--documenter-dark .content kbd:not(body) .icon:first-child:last-child, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:last-child {
+      margin-left: -0.375em;
+      margin-right: -0.375em; }
+    html.theme--documenter-dark .tag.is-delete:not(body), html.theme--documenter-dark .content kbd.is-delete:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body) {
+      margin-left: 1px;
+      padding: 0;
+      position: relative;
+      width: 2em; }
+      html.theme--documenter-dark .tag.is-delete:not(body)::before, html.theme--documenter-dark .content kbd.is-delete:not(body)::before, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::before, html.theme--documenter-dark .tag.is-delete:not(body)::after, html.theme--documenter-dark .content kbd.is-delete:not(body)::after, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+        background-color: currentColor;
+        content: "";
+        display: block;
+        left: 50%;
+        position: absolute;
+        top: 50%;
+        transform: translateX(-50%) translateY(-50%) rotate(45deg);
+        transform-origin: center center; }
+      html.theme--documenter-dark .tag.is-delete:not(body)::before, html.theme--documenter-dark .content kbd.is-delete:not(body)::before, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::before {
+        height: 1px;
+        width: 50%; }
+      html.theme--documenter-dark .tag.is-delete:not(body)::after, html.theme--documenter-dark .content kbd.is-delete:not(body)::after, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+        height: 50%;
+        width: 1px; }
+      html.theme--documenter-dark .tag.is-delete:not(body):hover, html.theme--documenter-dark .content kbd.is-delete:not(body):hover, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):hover, html.theme--documenter-dark .tag.is-delete:not(body):focus, html.theme--documenter-dark .content kbd.is-delete:not(body):focus, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):focus {
+        background-color: #1d2122; }
+      html.theme--documenter-dark .tag.is-delete:not(body):active, html.theme--documenter-dark .content kbd.is-delete:not(body):active, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):active {
+        background-color: #111414; }
+    html.theme--documenter-dark .tag.is-rounded:not(body), html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:not(body), html.theme--documenter-dark .content kbd.is-rounded:not(body), html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-rounded:not(body) {
+      border-radius: 290486px; }
+  html.theme--documenter-dark a.tag:hover, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:hover {
+    text-decoration: underline; }
+  html.theme--documenter-dark .title,
+  html.theme--documenter-dark .subtitle {
+    word-break: break-word; }
+    html.theme--documenter-dark .title em,
+    html.theme--documenter-dark .title span,
+    html.theme--documenter-dark .subtitle em,
+    html.theme--documenter-dark .subtitle span {
+      font-weight: inherit; }
+    html.theme--documenter-dark .title sub,
+    html.theme--documenter-dark .subtitle sub {
+      font-size: 0.75em; }
+    html.theme--documenter-dark .title sup,
+    html.theme--documenter-dark .subtitle sup {
+      font-size: 0.75em; }
+    html.theme--documenter-dark .title .tag, html.theme--documenter-dark .title .content kbd, html.theme--documenter-dark .content .title kbd, html.theme--documenter-dark .title .docstring > section > a.docs-sourcelink,
+    html.theme--documenter-dark .subtitle .tag,
+    html.theme--documenter-dark .subtitle .content kbd,
+    html.theme--documenter-dark .content .subtitle kbd,
+    html.theme--documenter-dark .subtitle .docstring > section > a.docs-sourcelink {
+      vertical-align: middle; }
+  html.theme--documenter-dark .title {
+    color: #fff;
+    font-size: 2rem;
+    font-weight: 500;
+    line-height: 1.125; }
+    html.theme--documenter-dark .title strong {
+      color: inherit;
+      font-weight: inherit; }
+    html.theme--documenter-dark .title + .highlight {
+      margin-top: -0.75rem; }
+    html.theme--documenter-dark .title:not(.is-spaced) + .subtitle {
+      margin-top: -1.25rem; }
+    html.theme--documenter-dark .title.is-1 {
+      font-size: 3rem; }
+    html.theme--documenter-dark .title.is-2 {
+      font-size: 2.5rem; }
+    html.theme--documenter-dark .title.is-3 {
+      font-size: 2rem; }
+    html.theme--documenter-dark .title.is-4 {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .title.is-5 {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .title.is-6 {
+      font-size: 15px; }
+    html.theme--documenter-dark .title.is-7 {
+      font-size: 0.85em; }
+  html.theme--documenter-dark .subtitle {
+    color: #8c9b9d;
+    font-size: 1.25rem;
+    font-weight: 400;
+    line-height: 1.25; }
+    html.theme--documenter-dark .subtitle strong {
+      color: #8c9b9d;
+      font-weight: 600; }
+    html.theme--documenter-dark .subtitle:not(.is-spaced) + .title {
+      margin-top: -1.25rem; }
+    html.theme--documenter-dark .subtitle.is-1 {
+      font-size: 3rem; }
+    html.theme--documenter-dark .subtitle.is-2 {
+      font-size: 2.5rem; }
+    html.theme--documenter-dark .subtitle.is-3 {
+      font-size: 2rem; }
+    html.theme--documenter-dark .subtitle.is-4 {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .subtitle.is-5 {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .subtitle.is-6 {
+      font-size: 15px; }
+    html.theme--documenter-dark .subtitle.is-7 {
+      font-size: 0.85em; }
+  html.theme--documenter-dark .heading {
+    display: block;
+    font-size: 11px;
+    letter-spacing: 1px;
+    margin-bottom: 5px;
+    text-transform: uppercase; }
+  html.theme--documenter-dark .highlight {
+    font-weight: 400;
+    max-width: 100%;
+    overflow: hidden;
+    padding: 0; }
+    html.theme--documenter-dark .highlight pre {
+      overflow: auto;
+      max-width: 100%; }
+  html.theme--documenter-dark .number {
+    align-items: center;
+    background-color: #282f2f;
+    border-radius: 290486px;
+    display: inline-flex;
+    font-size: 1.25rem;
+    height: 2em;
+    justify-content: center;
+    margin-right: 1.5rem;
+    min-width: 2.5em;
+    padding: 0.25rem 0.5rem;
+    text-align: center;
+    vertical-align: top; }
+  html.theme--documenter-dark .select select, html.theme--documenter-dark .textarea, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+    background-color: #1f2424;
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    color: #dbdee0; }
+    html.theme--documenter-dark .select select::-moz-placeholder, html.theme--documenter-dark .textarea::-moz-placeholder, html.theme--documenter-dark .input::-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-moz-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select::-webkit-input-placeholder, html.theme--documenter-dark .textarea::-webkit-input-placeholder, html.theme--documenter-dark .input::-webkit-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select:-moz-placeholder, html.theme--documenter-dark .textarea:-moz-placeholder, html.theme--documenter-dark .input:-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-moz-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select:-ms-input-placeholder, html.theme--documenter-dark .textarea:-ms-input-placeholder, html.theme--documenter-dark .input:-ms-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder {
+      color: rgba(219, 222, 224, 0.3); }
+    html.theme--documenter-dark .select select:hover, html.theme--documenter-dark .textarea:hover, html.theme--documenter-dark .input:hover, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:hover, html.theme--documenter-dark .select select.is-hovered, html.theme--documenter-dark .is-hovered.textarea, html.theme--documenter-dark .is-hovered.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-hovered {
+      border-color: #8c9b9d; }
+    html.theme--documenter-dark .select select:focus, html.theme--documenter-dark .textarea:focus, html.theme--documenter-dark .input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:focus, html.theme--documenter-dark .select select.is-focused, html.theme--documenter-dark .is-focused.textarea, html.theme--documenter-dark .is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .select select:active, html.theme--documenter-dark .textarea:active, html.theme--documenter-dark .input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:active, html.theme--documenter-dark .select select.is-active, html.theme--documenter-dark .is-active.textarea, html.theme--documenter-dark .is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+      border-color: #1abc9c;
+      box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .select select[disabled], html.theme--documenter-dark .textarea[disabled], html.theme--documenter-dark .input[disabled], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled], fieldset[disabled] html.theme--documenter-dark .select select, fieldset[disabled] html.theme--documenter-dark .textarea, fieldset[disabled] html.theme--documenter-dark .input, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+      background-color: #8c9b9d;
+      border-color: #282f2f;
+      box-shadow: none;
+      color: white; }
+      html.theme--documenter-dark .select select[disabled]::-moz-placeholder, html.theme--documenter-dark .textarea[disabled]::-moz-placeholder, html.theme--documenter-dark .input[disabled]::-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .select select::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .input::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-moz-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+      html.theme--documenter-dark .select select[disabled]::-webkit-input-placeholder, html.theme--documenter-dark .textarea[disabled]::-webkit-input-placeholder, html.theme--documenter-dark .input[disabled]::-webkit-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .select select::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .input::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+      html.theme--documenter-dark .select select[disabled]:-moz-placeholder, html.theme--documenter-dark .textarea[disabled]:-moz-placeholder, html.theme--documenter-dark .input[disabled]:-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .select select:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .input:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-moz-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+      html.theme--documenter-dark .select select[disabled]:-ms-input-placeholder, html.theme--documenter-dark .textarea[disabled]:-ms-input-placeholder, html.theme--documenter-dark .input[disabled]:-ms-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .select select:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .input:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder {
+        color: rgba(255, 255, 255, 0.3); }
+  html.theme--documenter-dark .textarea, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+    box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.1);
+    max-width: 100%;
+    width: 100%; }
+    html.theme--documenter-dark .textarea[readonly], html.theme--documenter-dark .input[readonly], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[readonly] {
+      box-shadow: none; }
+    html.theme--documenter-dark .is-white.textarea, html.theme--documenter-dark .is-white.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white {
+      border-color: white; }
+      html.theme--documenter-dark .is-white.textarea:focus, html.theme--documenter-dark .is-white.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white:focus, html.theme--documenter-dark .is-white.is-focused.textarea, html.theme--documenter-dark .is-white.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-white.textarea:active, html.theme--documenter-dark .is-white.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white:active, html.theme--documenter-dark .is-white.is-active.textarea, html.theme--documenter-dark .is-white.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+    html.theme--documenter-dark .is-black.textarea, html.theme--documenter-dark .is-black.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black {
+      border-color: #0a0a0a; }
+      html.theme--documenter-dark .is-black.textarea:focus, html.theme--documenter-dark .is-black.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black:focus, html.theme--documenter-dark .is-black.is-focused.textarea, html.theme--documenter-dark .is-black.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-black.textarea:active, html.theme--documenter-dark .is-black.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black:active, html.theme--documenter-dark .is-black.is-active.textarea, html.theme--documenter-dark .is-black.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+    html.theme--documenter-dark .is-light.textarea, html.theme--documenter-dark .is-light.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light {
+      border-color: #ecf0f1; }
+      html.theme--documenter-dark .is-light.textarea:focus, html.theme--documenter-dark .is-light.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light:focus, html.theme--documenter-dark .is-light.is-focused.textarea, html.theme--documenter-dark .is-light.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-light.textarea:active, html.theme--documenter-dark .is-light.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light:active, html.theme--documenter-dark .is-light.is-active.textarea, html.theme--documenter-dark .is-light.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); }
+    html.theme--documenter-dark .is-dark.textarea, html.theme--documenter-dark .content kbd.textarea, html.theme--documenter-dark .is-dark.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark, html.theme--documenter-dark .content kbd.input {
+      border-color: #282f2f; }
+      html.theme--documenter-dark .is-dark.textarea:focus, html.theme--documenter-dark .content kbd.textarea:focus, html.theme--documenter-dark .is-dark.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark:focus, html.theme--documenter-dark .content kbd.input:focus, html.theme--documenter-dark .is-dark.is-focused.textarea, html.theme--documenter-dark .content kbd.is-focused.textarea, html.theme--documenter-dark .is-dark.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .content kbd.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input.is-focused, html.theme--documenter-dark .is-dark.textarea:active, html.theme--documenter-dark .content kbd.textarea:active, html.theme--documenter-dark .is-dark.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark:active, html.theme--documenter-dark .content kbd.input:active, html.theme--documenter-dark .is-dark.is-active.textarea, html.theme--documenter-dark .content kbd.is-active.textarea, html.theme--documenter-dark .is-dark.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .content kbd.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); }
+    html.theme--documenter-dark .is-primary.textarea, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink {
+      border-color: #375a7f; }
+      html.theme--documenter-dark .is-primary.textarea:focus, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink:focus, html.theme--documenter-dark .is-primary.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary:focus, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink:focus, html.theme--documenter-dark .is-primary.is-focused.textarea, html.theme--documenter-dark .docstring > section > a.is-focused.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .docstring > section > a.is-focused.input.docs-sourcelink, html.theme--documenter-dark .is-primary.textarea:active, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink:active, html.theme--documenter-dark .is-primary.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary:active, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink:active, html.theme--documenter-dark .is-primary.is-active.textarea, html.theme--documenter-dark .docstring > section > a.is-active.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .docstring > section > a.is-active.input.docs-sourcelink {
+        box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); }
+    html.theme--documenter-dark .is-link.textarea, html.theme--documenter-dark .is-link.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link {
+      border-color: #1abc9c; }
+      html.theme--documenter-dark .is-link.textarea:focus, html.theme--documenter-dark .is-link.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link:focus, html.theme--documenter-dark .is-link.is-focused.textarea, html.theme--documenter-dark .is-link.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-link.textarea:active, html.theme--documenter-dark .is-link.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link:active, html.theme--documenter-dark .is-link.is-active.textarea, html.theme--documenter-dark .is-link.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .is-info.textarea, html.theme--documenter-dark .is-info.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info {
+      border-color: #024c7d; }
+      html.theme--documenter-dark .is-info.textarea:focus, html.theme--documenter-dark .is-info.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info:focus, html.theme--documenter-dark .is-info.is-focused.textarea, html.theme--documenter-dark .is-info.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-info.textarea:active, html.theme--documenter-dark .is-info.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info:active, html.theme--documenter-dark .is-info.is-active.textarea, html.theme--documenter-dark .is-info.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); }
+    html.theme--documenter-dark .is-success.textarea, html.theme--documenter-dark .is-success.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success {
+      border-color: #008438; }
+      html.theme--documenter-dark .is-success.textarea:focus, html.theme--documenter-dark .is-success.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success:focus, html.theme--documenter-dark .is-success.is-focused.textarea, html.theme--documenter-dark .is-success.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-success.textarea:active, html.theme--documenter-dark .is-success.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success:active, html.theme--documenter-dark .is-success.is-active.textarea, html.theme--documenter-dark .is-success.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); }
+    html.theme--documenter-dark .is-warning.textarea, html.theme--documenter-dark .is-warning.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning {
+      border-color: #ad8100; }
+      html.theme--documenter-dark .is-warning.textarea:focus, html.theme--documenter-dark .is-warning.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning:focus, html.theme--documenter-dark .is-warning.is-focused.textarea, html.theme--documenter-dark .is-warning.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-warning.textarea:active, html.theme--documenter-dark .is-warning.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning:active, html.theme--documenter-dark .is-warning.is-active.textarea, html.theme--documenter-dark .is-warning.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); }
+    html.theme--documenter-dark .is-danger.textarea, html.theme--documenter-dark .is-danger.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger {
+      border-color: #9e1b0d; }
+      html.theme--documenter-dark .is-danger.textarea:focus, html.theme--documenter-dark .is-danger.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger:focus, html.theme--documenter-dark .is-danger.is-focused.textarea, html.theme--documenter-dark .is-danger.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-danger.textarea:active, html.theme--documenter-dark .is-danger.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger:active, html.theme--documenter-dark .is-danger.is-active.textarea, html.theme--documenter-dark .is-danger.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active {
+        box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); }
+    html.theme--documenter-dark .is-small.textarea, html.theme--documenter-dark .is-small.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .is-medium.textarea, html.theme--documenter-dark .is-medium.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .is-large.textarea, html.theme--documenter-dark .is-large.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .is-fullwidth.textarea, html.theme--documenter-dark .is-fullwidth.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-fullwidth {
+      display: block;
+      width: 100%; }
+    html.theme--documenter-dark .is-inline.textarea, html.theme--documenter-dark .is-inline.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-inline {
+      display: inline;
+      width: auto; }
+  html.theme--documenter-dark .input.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+    border-radius: 290486px;
+    padding-left: 1em;
+    padding-right: 1em; }
+  html.theme--documenter-dark .input.is-static, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-static {
+    background-color: transparent;
+    border-color: transparent;
+    box-shadow: none;
+    padding-left: 0;
+    padding-right: 0; }
+  html.theme--documenter-dark .textarea {
+    display: block;
+    max-width: 100%;
+    min-width: 100%;
+    padding: 0.625em;
+    resize: vertical; }
+    html.theme--documenter-dark .textarea:not([rows]) {
+      max-height: 600px;
+      min-height: 120px; }
+    html.theme--documenter-dark .textarea[rows] {
+      height: initial; }
+    html.theme--documenter-dark .textarea.has-fixed-size {
+      resize: none; }
+  html.theme--documenter-dark .radio, html.theme--documenter-dark .checkbox {
+    cursor: pointer;
+    display: inline-block;
+    line-height: 1.25;
+    position: relative; }
+    html.theme--documenter-dark .radio input, html.theme--documenter-dark .checkbox input {
+      cursor: pointer; }
+    html.theme--documenter-dark .radio:hover, html.theme--documenter-dark .checkbox:hover {
+      color: #8c9b9d; }
+    html.theme--documenter-dark .radio[disabled], html.theme--documenter-dark .checkbox[disabled], fieldset[disabled] html.theme--documenter-dark .radio, fieldset[disabled] html.theme--documenter-dark .checkbox {
+      color: white;
+      cursor: not-allowed; }
+  html.theme--documenter-dark .radio + .radio {
+    margin-left: 0.5em; }
+  html.theme--documenter-dark .select {
+    display: inline-block;
+    max-width: 100%;
+    position: relative;
+    vertical-align: top; }
+    html.theme--documenter-dark .select:not(.is-multiple) {
+      height: 2.25em; }
+    html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after {
+      border-color: #1abc9c;
+      right: 1.125em;
+      z-index: 4; }
+    html.theme--documenter-dark .select.is-rounded select, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.select select {
+      border-radius: 290486px;
+      padding-left: 1em; }
+    html.theme--documenter-dark .select select {
+      cursor: pointer;
+      display: block;
+      font-size: 1em;
+      max-width: 100%;
+      outline: none; }
+      html.theme--documenter-dark .select select::-ms-expand {
+        display: none; }
+      html.theme--documenter-dark .select select[disabled]:hover, fieldset[disabled] html.theme--documenter-dark .select select:hover {
+        border-color: #282f2f; }
+      html.theme--documenter-dark .select select:not([multiple]) {
+        padding-right: 2.5em; }
+      html.theme--documenter-dark .select select[multiple] {
+        height: auto;
+        padding: 0; }
+        html.theme--documenter-dark .select select[multiple] option {
+          padding: 0.5em 1em; }
+    html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading):hover::after {
+      border-color: #8c9b9d; }
+    html.theme--documenter-dark .select.is-white:not(:hover)::after {
+      border-color: white; }
+    html.theme--documenter-dark .select.is-white select {
+      border-color: white; }
+      html.theme--documenter-dark .select.is-white select:hover, html.theme--documenter-dark .select.is-white select.is-hovered {
+        border-color: #f2f2f2; }
+      html.theme--documenter-dark .select.is-white select:focus, html.theme--documenter-dark .select.is-white select.is-focused, html.theme--documenter-dark .select.is-white select:active, html.theme--documenter-dark .select.is-white select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+    html.theme--documenter-dark .select.is-black:not(:hover)::after {
+      border-color: #0a0a0a; }
+    html.theme--documenter-dark .select.is-black select {
+      border-color: #0a0a0a; }
+      html.theme--documenter-dark .select.is-black select:hover, html.theme--documenter-dark .select.is-black select.is-hovered {
+        border-color: black; }
+      html.theme--documenter-dark .select.is-black select:focus, html.theme--documenter-dark .select.is-black select.is-focused, html.theme--documenter-dark .select.is-black select:active, html.theme--documenter-dark .select.is-black select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+    html.theme--documenter-dark .select.is-light:not(:hover)::after {
+      border-color: #ecf0f1; }
+    html.theme--documenter-dark .select.is-light select {
+      border-color: #ecf0f1; }
+      html.theme--documenter-dark .select.is-light select:hover, html.theme--documenter-dark .select.is-light select.is-hovered {
+        border-color: #dde4e6; }
+      html.theme--documenter-dark .select.is-light select:focus, html.theme--documenter-dark .select.is-light select.is-focused, html.theme--documenter-dark .select.is-light select:active, html.theme--documenter-dark .select.is-light select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); }
+    html.theme--documenter-dark .select.is-dark:not(:hover)::after, html.theme--documenter-dark .content kbd.select:not(:hover)::after {
+      border-color: #282f2f; }
+    html.theme--documenter-dark .select.is-dark select, html.theme--documenter-dark .content kbd.select select {
+      border-color: #282f2f; }
+      html.theme--documenter-dark .select.is-dark select:hover, html.theme--documenter-dark .content kbd.select select:hover, html.theme--documenter-dark .select.is-dark select.is-hovered, html.theme--documenter-dark .content kbd.select select.is-hovered {
+        border-color: #1d2122; }
+      html.theme--documenter-dark .select.is-dark select:focus, html.theme--documenter-dark .content kbd.select select:focus, html.theme--documenter-dark .select.is-dark select.is-focused, html.theme--documenter-dark .content kbd.select select.is-focused, html.theme--documenter-dark .select.is-dark select:active, html.theme--documenter-dark .content kbd.select select:active, html.theme--documenter-dark .select.is-dark select.is-active, html.theme--documenter-dark .content kbd.select select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); }
+    html.theme--documenter-dark .select.is-primary:not(:hover)::after, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink:not(:hover)::after {
+      border-color: #375a7f; }
+    html.theme--documenter-dark .select.is-primary select, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select {
+      border-color: #375a7f; }
+      html.theme--documenter-dark .select.is-primary select:hover, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:hover, html.theme--documenter-dark .select.is-primary select.is-hovered, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-hovered {
+        border-color: #2f4d6d; }
+      html.theme--documenter-dark .select.is-primary select:focus, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:focus, html.theme--documenter-dark .select.is-primary select.is-focused, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-focused, html.theme--documenter-dark .select.is-primary select:active, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:active, html.theme--documenter-dark .select.is-primary select.is-active, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); }
+    html.theme--documenter-dark .select.is-link:not(:hover)::after {
+      border-color: #1abc9c; }
+    html.theme--documenter-dark .select.is-link select {
+      border-color: #1abc9c; }
+      html.theme--documenter-dark .select.is-link select:hover, html.theme--documenter-dark .select.is-link select.is-hovered {
+        border-color: #17a689; }
+      html.theme--documenter-dark .select.is-link select:focus, html.theme--documenter-dark .select.is-link select.is-focused, html.theme--documenter-dark .select.is-link select:active, html.theme--documenter-dark .select.is-link select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); }
+    html.theme--documenter-dark .select.is-info:not(:hover)::after {
+      border-color: #024c7d; }
+    html.theme--documenter-dark .select.is-info select {
+      border-color: #024c7d; }
+      html.theme--documenter-dark .select.is-info select:hover, html.theme--documenter-dark .select.is-info select.is-hovered {
+        border-color: #023d64; }
+      html.theme--documenter-dark .select.is-info select:focus, html.theme--documenter-dark .select.is-info select.is-focused, html.theme--documenter-dark .select.is-info select:active, html.theme--documenter-dark .select.is-info select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); }
+    html.theme--documenter-dark .select.is-success:not(:hover)::after {
+      border-color: #008438; }
+    html.theme--documenter-dark .select.is-success select {
+      border-color: #008438; }
+      html.theme--documenter-dark .select.is-success select:hover, html.theme--documenter-dark .select.is-success select.is-hovered {
+        border-color: #006b2d; }
+      html.theme--documenter-dark .select.is-success select:focus, html.theme--documenter-dark .select.is-success select.is-focused, html.theme--documenter-dark .select.is-success select:active, html.theme--documenter-dark .select.is-success select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); }
+    html.theme--documenter-dark .select.is-warning:not(:hover)::after {
+      border-color: #ad8100; }
+    html.theme--documenter-dark .select.is-warning select {
+      border-color: #ad8100; }
+      html.theme--documenter-dark .select.is-warning select:hover, html.theme--documenter-dark .select.is-warning select.is-hovered {
+        border-color: #946e00; }
+      html.theme--documenter-dark .select.is-warning select:focus, html.theme--documenter-dark .select.is-warning select.is-focused, html.theme--documenter-dark .select.is-warning select:active, html.theme--documenter-dark .select.is-warning select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); }
+    html.theme--documenter-dark .select.is-danger:not(:hover)::after {
+      border-color: #9e1b0d; }
+    html.theme--documenter-dark .select.is-danger select {
+      border-color: #9e1b0d; }
+      html.theme--documenter-dark .select.is-danger select:hover, html.theme--documenter-dark .select.is-danger select.is-hovered {
+        border-color: #86170b; }
+      html.theme--documenter-dark .select.is-danger select:focus, html.theme--documenter-dark .select.is-danger select.is-focused, html.theme--documenter-dark .select.is-danger select:active, html.theme--documenter-dark .select.is-danger select.is-active {
+        box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); }
+    html.theme--documenter-dark .select.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.select {
+      border-radius: 3px;
+      font-size: 0.85em; }
+    html.theme--documenter-dark .select.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .select.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .select.is-disabled::after {
+      border-color: white; }
+    html.theme--documenter-dark .select.is-fullwidth {
+      width: 100%; }
+      html.theme--documenter-dark .select.is-fullwidth select {
+        width: 100%; }
+    html.theme--documenter-dark .select.is-loading::after {
+      margin-top: 0;
+      position: absolute;
+      right: 0.625em;
+      top: 0.625em;
+      transform: none; }
+    html.theme--documenter-dark .select.is-loading.is-small:after, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .select.is-loading.is-medium:after {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .select.is-loading.is-large:after {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .file {
+    align-items: stretch;
+    display: flex;
+    justify-content: flex-start;
+    position: relative; }
+    html.theme--documenter-dark .file.is-white .file-cta {
+      background-color: white;
+      border-color: transparent;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-white:hover .file-cta, html.theme--documenter-dark .file.is-white.is-hovered .file-cta {
+      background-color: #f9f9f9;
+      border-color: transparent;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-white:focus .file-cta, html.theme--documenter-dark .file.is-white.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(255, 255, 255, 0.25);
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-white:active .file-cta, html.theme--documenter-dark .file.is-white.is-active .file-cta {
+      background-color: #f2f2f2;
+      border-color: transparent;
+      color: #0a0a0a; }
+    html.theme--documenter-dark .file.is-black .file-cta {
+      background-color: #0a0a0a;
+      border-color: transparent;
+      color: white; }
+    html.theme--documenter-dark .file.is-black:hover .file-cta, html.theme--documenter-dark .file.is-black.is-hovered .file-cta {
+      background-color: #040404;
+      border-color: transparent;
+      color: white; }
+    html.theme--documenter-dark .file.is-black:focus .file-cta, html.theme--documenter-dark .file.is-black.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(10, 10, 10, 0.25);
+      color: white; }
+    html.theme--documenter-dark .file.is-black:active .file-cta, html.theme--documenter-dark .file.is-black.is-active .file-cta {
+      background-color: black;
+      border-color: transparent;
+      color: white; }
+    html.theme--documenter-dark .file.is-light .file-cta {
+      background-color: #ecf0f1;
+      border-color: transparent;
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-light:hover .file-cta, html.theme--documenter-dark .file.is-light.is-hovered .file-cta {
+      background-color: #e5eaec;
+      border-color: transparent;
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-light:focus .file-cta, html.theme--documenter-dark .file.is-light.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(236, 240, 241, 0.25);
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-light:active .file-cta, html.theme--documenter-dark .file.is-light.is-active .file-cta {
+      background-color: #dde4e6;
+      border-color: transparent;
+      color: #282f2f; }
+    html.theme--documenter-dark .file.is-dark .file-cta, html.theme--documenter-dark .content kbd.file .file-cta {
+      background-color: #282f2f;
+      border-color: transparent;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-dark:hover .file-cta, html.theme--documenter-dark .content kbd.file:hover .file-cta, html.theme--documenter-dark .file.is-dark.is-hovered .file-cta, html.theme--documenter-dark .content kbd.file.is-hovered .file-cta {
+      background-color: #232829;
+      border-color: transparent;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-dark:focus .file-cta, html.theme--documenter-dark .content kbd.file:focus .file-cta, html.theme--documenter-dark .file.is-dark.is-focused .file-cta, html.theme--documenter-dark .content kbd.file.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(40, 47, 47, 0.25);
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-dark:active .file-cta, html.theme--documenter-dark .content kbd.file:active .file-cta, html.theme--documenter-dark .file.is-dark.is-active .file-cta, html.theme--documenter-dark .content kbd.file.is-active .file-cta {
+      background-color: #1d2122;
+      border-color: transparent;
+      color: #ecf0f1; }
+    html.theme--documenter-dark .file.is-primary .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink .file-cta {
+      background-color: #375a7f;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-primary:hover .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:hover .file-cta, html.theme--documenter-dark .file.is-primary.is-hovered .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-hovered.docs-sourcelink .file-cta {
+      background-color: #335476;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-primary:focus .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:focus .file-cta, html.theme--documenter-dark .file.is-primary.is-focused .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-focused.docs-sourcelink .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(55, 90, 127, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-primary:active .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:active .file-cta, html.theme--documenter-dark .file.is-primary.is-active .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-active.docs-sourcelink .file-cta {
+      background-color: #2f4d6d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link .file-cta {
+      background-color: #1abc9c;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link:hover .file-cta, html.theme--documenter-dark .file.is-link.is-hovered .file-cta {
+      background-color: #18b193;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link:focus .file-cta, html.theme--documenter-dark .file.is-link.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(26, 188, 156, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-link:active .file-cta, html.theme--documenter-dark .file.is-link.is-active .file-cta {
+      background-color: #17a689;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info .file-cta {
+      background-color: #024c7d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info:hover .file-cta, html.theme--documenter-dark .file.is-info.is-hovered .file-cta {
+      background-color: #024470;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info:focus .file-cta, html.theme--documenter-dark .file.is-info.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(2, 76, 125, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-info:active .file-cta, html.theme--documenter-dark .file.is-info.is-active .file-cta {
+      background-color: #023d64;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success .file-cta {
+      background-color: #008438;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success:hover .file-cta, html.theme--documenter-dark .file.is-success.is-hovered .file-cta {
+      background-color: #007733;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success:focus .file-cta, html.theme--documenter-dark .file.is-success.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(0, 132, 56, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-success:active .file-cta, html.theme--documenter-dark .file.is-success.is-active .file-cta {
+      background-color: #006b2d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning .file-cta {
+      background-color: #ad8100;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning:hover .file-cta, html.theme--documenter-dark .file.is-warning.is-hovered .file-cta {
+      background-color: #a07700;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning:focus .file-cta, html.theme--documenter-dark .file.is-warning.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(173, 129, 0, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-warning:active .file-cta, html.theme--documenter-dark .file.is-warning.is-active .file-cta {
+      background-color: #946e00;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger .file-cta {
+      background-color: #9e1b0d;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger:hover .file-cta, html.theme--documenter-dark .file.is-danger.is-hovered .file-cta {
+      background-color: #92190c;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger:focus .file-cta, html.theme--documenter-dark .file.is-danger.is-focused .file-cta {
+      border-color: transparent;
+      box-shadow: 0 0 0.5em rgba(158, 27, 13, 0.25);
+      color: #fff; }
+    html.theme--documenter-dark .file.is-danger:active .file-cta, html.theme--documenter-dark .file.is-danger.is-active .file-cta {
+      background-color: #86170b;
+      border-color: transparent;
+      color: #fff; }
+    html.theme--documenter-dark .file.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.file {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .file.is-medium {
+      font-size: 1.25rem; }
+      html.theme--documenter-dark .file.is-medium .file-icon .fa {
+        font-size: 21px; }
+    html.theme--documenter-dark .file.is-large {
+      font-size: 1.5rem; }
+      html.theme--documenter-dark .file.is-large .file-icon .fa {
+        font-size: 28px; }
+    html.theme--documenter-dark .file.has-name .file-cta {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0; }
+    html.theme--documenter-dark .file.has-name .file-name {
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    html.theme--documenter-dark .file.has-name.is-empty .file-cta {
+      border-radius: 0.4em; }
+    html.theme--documenter-dark .file.has-name.is-empty .file-name {
+      display: none; }
+    html.theme--documenter-dark .file.is-boxed .file-label {
+      flex-direction: column; }
+    html.theme--documenter-dark .file.is-boxed .file-cta {
+      flex-direction: column;
+      height: auto;
+      padding: 1em 3em; }
+    html.theme--documenter-dark .file.is-boxed .file-name {
+      border-width: 0 1px 1px; }
+    html.theme--documenter-dark .file.is-boxed .file-icon {
+      height: 1.5em;
+      width: 1.5em; }
+      html.theme--documenter-dark .file.is-boxed .file-icon .fa {
+        font-size: 21px; }
+    html.theme--documenter-dark .file.is-boxed.is-small .file-icon .fa, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-boxed .file-icon .fa {
+      font-size: 14px; }
+    html.theme--documenter-dark .file.is-boxed.is-medium .file-icon .fa {
+      font-size: 28px; }
+    html.theme--documenter-dark .file.is-boxed.is-large .file-icon .fa {
+      font-size: 35px; }
+    html.theme--documenter-dark .file.is-boxed.has-name .file-cta {
+      border-radius: 0.4em 0.4em 0 0; }
+    html.theme--documenter-dark .file.is-boxed.has-name .file-name {
+      border-radius: 0 0 0.4em 0.4em;
+      border-width: 0 1px 1px; }
+    html.theme--documenter-dark .file.is-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .file.is-fullwidth .file-label {
+      width: 100%; }
+    html.theme--documenter-dark .file.is-fullwidth .file-name {
+      flex-grow: 1;
+      max-width: none; }
+    html.theme--documenter-dark .file.is-right {
+      justify-content: flex-end; }
+      html.theme--documenter-dark .file.is-right .file-cta {
+        border-radius: 0 0.4em 0.4em 0; }
+      html.theme--documenter-dark .file.is-right .file-name {
+        border-radius: 0.4em 0 0 0.4em;
+        border-width: 1px 0 1px 1px;
+        order: -1; }
+  html.theme--documenter-dark .file-label {
+    align-items: stretch;
+    display: flex;
+    cursor: pointer;
+    justify-content: flex-start;
+    overflow: hidden;
+    position: relative; }
+    html.theme--documenter-dark .file-label:hover .file-cta {
+      background-color: #e5eaec;
+      color: #282f2f; }
+    html.theme--documenter-dark .file-label:hover .file-name {
+      border-color: #596668; }
+    html.theme--documenter-dark .file-label:active .file-cta {
+      background-color: #dde4e6;
+      color: #282f2f; }
+    html.theme--documenter-dark .file-label:active .file-name {
+      border-color: #535f61; }
+  html.theme--documenter-dark .file-input {
+    height: 100%;
+    left: 0;
+    opacity: 0;
+    outline: none;
+    position: absolute;
+    top: 0;
+    width: 100%; }
+  html.theme--documenter-dark .file-cta,
+  html.theme--documenter-dark .file-name {
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    font-size: 1em;
+    padding-left: 1em;
+    padding-right: 1em;
+    white-space: nowrap; }
+  html.theme--documenter-dark .file-cta {
+    background-color: #ecf0f1;
+    color: #343c3d; }
+  html.theme--documenter-dark .file-name {
+    border-color: #5e6d6f;
+    border-style: solid;
+    border-width: 1px 1px 1px 0;
+    display: block;
+    max-width: 16em;
+    overflow: hidden;
+    text-align: left;
+    text-overflow: ellipsis; }
+  html.theme--documenter-dark .file-icon {
+    align-items: center;
+    display: flex;
+    height: 1em;
+    justify-content: center;
+    margin-right: 0.5em;
+    width: 1em; }
+    html.theme--documenter-dark .file-icon .fa {
+      font-size: 14px; }
+  html.theme--documenter-dark .label {
+    color: #282f2f;
+    display: block;
+    font-size: 15px;
+    font-weight: 700; }
+    html.theme--documenter-dark .label:not(:last-child) {
+      margin-bottom: 0.5em; }
+    html.theme--documenter-dark .label.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.label {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .label.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .label.is-large {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .help {
+    display: block;
+    font-size: 0.85em;
+    margin-top: 0.25rem; }
+    html.theme--documenter-dark .help.is-white {
+      color: white; }
+    html.theme--documenter-dark .help.is-black {
+      color: #0a0a0a; }
+    html.theme--documenter-dark .help.is-light {
+      color: #ecf0f1; }
+    html.theme--documenter-dark .help.is-dark, html.theme--documenter-dark .content kbd.help {
+      color: #282f2f; }
+    html.theme--documenter-dark .help.is-primary, html.theme--documenter-dark .docstring > section > a.help.docs-sourcelink {
+      color: #375a7f; }
+    html.theme--documenter-dark .help.is-link {
+      color: #1abc9c; }
+    html.theme--documenter-dark .help.is-info {
+      color: #024c7d; }
+    html.theme--documenter-dark .help.is-success {
+      color: #008438; }
+    html.theme--documenter-dark .help.is-warning {
+      color: #ad8100; }
+    html.theme--documenter-dark .help.is-danger {
+      color: #9e1b0d; }
+  html.theme--documenter-dark .field:not(:last-child) {
+    margin-bottom: 0.75rem; }
+  html.theme--documenter-dark .field.has-addons {
+    display: flex;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .field.has-addons .control:not(:last-child) {
+      margin-right: -1px; }
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .button,
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .input,
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search > input,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search > input,
+    html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .select select {
+      border-radius: 0; }
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .button,
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .input,
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search > input,
+    html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .select select {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0; }
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .button,
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .input,
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search > input,
+    html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .select select {
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):hover, html.theme--documenter-dark .field.has-addons .control .button.is-hovered:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):hover,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):hover,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):hover,
+    html.theme--documenter-dark .field.has-addons .control .input.is-hovered:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-hovered:not([disabled]),
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-hovered:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):hover,
+    html.theme--documenter-dark .field.has-addons .control .select select.is-hovered:not([disabled]) {
+      z-index: 2; }
+    html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):focus, html.theme--documenter-dark .field.has-addons .control .button.is-focused:not([disabled]), html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):active, html.theme--documenter-dark .field.has-addons .control .button.is-active:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):focus,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus,
+    html.theme--documenter-dark .field.has-addons .control .input.is-focused:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]),
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):active,
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active,
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active,
+    html.theme--documenter-dark .field.has-addons .control .input.is-active:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]),
+    html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):focus,
+    html.theme--documenter-dark .field.has-addons .control .select select.is-focused:not([disabled]),
+    html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):active,
+    html.theme--documenter-dark .field.has-addons .control .select select.is-active:not([disabled]) {
+      z-index: 3; }
+      html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):focus:hover, html.theme--documenter-dark .field.has-addons .control .button.is-focused:not([disabled]):hover, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):active:hover, html.theme--documenter-dark .field.has-addons .control .button.is-active:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):focus:hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus:hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus:hover,
+      html.theme--documenter-dark .field.has-addons .control .input.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):active:hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active:hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active:hover,
+      html.theme--documenter-dark .field.has-addons .control .input.is-active:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]):hover,
+      html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):focus:hover,
+      html.theme--documenter-dark .field.has-addons .control .select select.is-focused:not([disabled]):hover,
+      html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):active:hover,
+      html.theme--documenter-dark .field.has-addons .control .select select.is-active:not([disabled]):hover {
+        z-index: 4; }
+    html.theme--documenter-dark .field.has-addons .control.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .field.has-addons.has-addons-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .field.has-addons.has-addons-right {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .field.has-addons.has-addons-fullwidth .control {
+      flex-grow: 1;
+      flex-shrink: 0; }
+  html.theme--documenter-dark .field.is-grouped {
+    display: flex;
+    justify-content: flex-start; }
+    html.theme--documenter-dark .field.is-grouped > .control {
+      flex-shrink: 0; }
+      html.theme--documenter-dark .field.is-grouped > .control:not(:last-child) {
+        margin-bottom: 0;
+        margin-right: 0.75rem; }
+      html.theme--documenter-dark .field.is-grouped > .control.is-expanded {
+        flex-grow: 1;
+        flex-shrink: 1; }
+    html.theme--documenter-dark .field.is-grouped.is-grouped-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .field.is-grouped.is-grouped-right {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .field.is-grouped.is-grouped-multiline {
+      flex-wrap: wrap; }
+      html.theme--documenter-dark .field.is-grouped.is-grouped-multiline > .control:last-child, html.theme--documenter-dark .field.is-grouped.is-grouped-multiline > .control:not(:last-child) {
+        margin-bottom: 0.75rem; }
+      html.theme--documenter-dark .field.is-grouped.is-grouped-multiline:last-child {
+        margin-bottom: -0.75rem; }
+      html.theme--documenter-dark .field.is-grouped.is-grouped-multiline:not(:last-child) {
+        margin-bottom: 0; }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .field.is-horizontal {
+      display: flex; } }
+  html.theme--documenter-dark .field-label .label {
+    font-size: inherit; }
+  @media screen and (max-width: 768px) {
+    html.theme--documenter-dark .field-label {
+      margin-bottom: 0.5rem; } }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .field-label {
+      flex-basis: 0;
+      flex-grow: 1;
+      flex-shrink: 0;
+      margin-right: 1.5rem;
+      text-align: right; }
+      html.theme--documenter-dark .field-label.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.field-label {
+        font-size: 0.85em;
+        padding-top: 0.375em; }
+      html.theme--documenter-dark .field-label.is-normal {
+        padding-top: 0.375em; }
+      html.theme--documenter-dark .field-label.is-medium {
+        font-size: 1.25rem;
+        padding-top: 0.375em; }
+      html.theme--documenter-dark .field-label.is-large {
+        font-size: 1.5rem;
+        padding-top: 0.375em; } }
+  html.theme--documenter-dark .field-body .field .field {
+    margin-bottom: 0; }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .field-body {
+      display: flex;
+      flex-basis: 0;
+      flex-grow: 5;
+      flex-shrink: 1; }
+      html.theme--documenter-dark .field-body .field {
+        margin-bottom: 0; }
+      html.theme--documenter-dark .field-body > .field {
+        flex-shrink: 1; }
+        html.theme--documenter-dark .field-body > .field:not(.is-narrow) {
+          flex-grow: 1; }
+        html.theme--documenter-dark .field-body > .field:not(:last-child) {
+          margin-right: 0.75rem; } }
+  html.theme--documenter-dark .control {
+    box-sizing: border-box;
+    clear: both;
+    font-size: 15px;
+    position: relative;
+    text-align: left; }
+    html.theme--documenter-dark .control.has-icons-left .input:focus ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input:focus ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select:focus ~ .icon, html.theme--documenter-dark .control.has-icons-right .input:focus ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input:focus ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select:focus ~ .icon {
+      color: #5e6d6f; }
+    html.theme--documenter-dark .control.has-icons-left .input.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select.is-small ~ .icon {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .control.has-icons-left .input.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-medium ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-medium ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select.is-medium ~ .icon {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .control.has-icons-left .input.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-large ~ .icon,
+    html.theme--documenter-dark .control.has-icons-left .select.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-large ~ .icon,
+    html.theme--documenter-dark .control.has-icons-right .select.is-large ~ .icon {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .control.has-icons-left .icon, html.theme--documenter-dark .control.has-icons-right .icon {
+      color: #dbdee0;
+      height: 2.25em;
+      pointer-events: none;
+      position: absolute;
+      top: 0;
+      width: 2.25em;
+      z-index: 4; }
+    html.theme--documenter-dark .control.has-icons-left .input, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input,
+    html.theme--documenter-dark .control.has-icons-left .select select {
+      padding-left: 2.25em; }
+    html.theme--documenter-dark .control.has-icons-left .icon.is-left {
+      left: 0; }
+    html.theme--documenter-dark .control.has-icons-right .input, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input,
+    html.theme--documenter-dark .control.has-icons-right .select select {
+      padding-right: 2.25em; }
+    html.theme--documenter-dark .control.has-icons-right .icon.is-right {
+      right: 0; }
+    html.theme--documenter-dark .control.is-loading::after {
+      position: absolute !important;
+      right: 0.625em;
+      top: 0.625em;
+      z-index: 4; }
+    html.theme--documenter-dark .control.is-loading.is-small:after, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .control.is-loading.is-medium:after {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .control.is-loading.is-large:after {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .breadcrumb {
+    font-size: 15px;
+    white-space: nowrap; }
+    html.theme--documenter-dark .breadcrumb a {
+      align-items: center;
+      color: #1abc9c;
+      display: flex;
+      justify-content: center;
+      padding: 0 0.75em; }
+      html.theme--documenter-dark .breadcrumb a:hover {
+        color: #1dd2af; }
+    html.theme--documenter-dark .breadcrumb li {
+      align-items: center;
+      display: flex; }
+      html.theme--documenter-dark .breadcrumb li:first-child a {
+        padding-left: 0; }
+      html.theme--documenter-dark .breadcrumb li.is-active a {
+        color: #f2f2f2;
+        cursor: default;
+        pointer-events: none; }
+      html.theme--documenter-dark .breadcrumb li + li::before {
+        color: #8c9b9d;
+        content: "\0002f"; }
+    html.theme--documenter-dark .breadcrumb ul,
+    html.theme--documenter-dark .breadcrumb ol {
+      align-items: flex-start;
+      display: flex;
+      flex-wrap: wrap;
+      justify-content: flex-start; }
+    html.theme--documenter-dark .breadcrumb .icon:first-child {
+      margin-right: 0.5em; }
+    html.theme--documenter-dark .breadcrumb .icon:last-child {
+      margin-left: 0.5em; }
+    html.theme--documenter-dark .breadcrumb.is-centered ol,
+    html.theme--documenter-dark .breadcrumb.is-centered ul {
+      justify-content: center; }
+    html.theme--documenter-dark .breadcrumb.is-right ol,
+    html.theme--documenter-dark .breadcrumb.is-right ul {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .breadcrumb.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.breadcrumb {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .breadcrumb.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .breadcrumb.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .breadcrumb.has-arrow-separator li + li::before {
+      content: "\02192"; }
+    html.theme--documenter-dark .breadcrumb.has-bullet-separator li + li::before {
+      content: "\02022"; }
+    html.theme--documenter-dark .breadcrumb.has-dot-separator li + li::before {
+      content: "\000b7"; }
+    html.theme--documenter-dark .breadcrumb.has-succeeds-separator li + li::before {
+      content: "\0227B"; }
+  html.theme--documenter-dark .card {
+    background-color: white;
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+    color: #fff;
+    max-width: 100%;
+    position: relative; }
+  html.theme--documenter-dark .card-header {
+    background-color: transparent;
+    align-items: stretch;
+    box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+    display: flex; }
+  html.theme--documenter-dark .card-header-title {
+    align-items: center;
+    color: #f2f2f2;
+    display: flex;
+    flex-grow: 1;
+    font-weight: 700;
+    padding: 0.75rem; }
+    html.theme--documenter-dark .card-header-title.is-centered {
+      justify-content: center; }
+  html.theme--documenter-dark .card-header-icon {
+    align-items: center;
+    cursor: pointer;
+    display: flex;
+    justify-content: center;
+    padding: 0.75rem; }
+  html.theme--documenter-dark .card-image {
+    display: block;
+    position: relative; }
+  html.theme--documenter-dark .card-content {
+    background-color: transparent;
+    padding: 1.5rem; }
+  html.theme--documenter-dark .card-footer {
+    background-color: transparent;
+    border-top: 1px solid #5e6d6f;
+    align-items: stretch;
+    display: flex; }
+  html.theme--documenter-dark .card-footer-item {
+    align-items: center;
+    display: flex;
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 0;
+    justify-content: center;
+    padding: 0.75rem; }
+    html.theme--documenter-dark .card-footer-item:not(:last-child) {
+      border-right: 1px solid #5e6d6f; }
+  html.theme--documenter-dark .card .media:not(:last-child) {
+    margin-bottom: 1.5rem; }
+  html.theme--documenter-dark .dropdown {
+    display: inline-flex;
+    position: relative;
+    vertical-align: top; }
+    html.theme--documenter-dark .dropdown.is-active .dropdown-menu, html.theme--documenter-dark .dropdown.is-hoverable:hover .dropdown-menu {
+      display: block; }
+    html.theme--documenter-dark .dropdown.is-right .dropdown-menu {
+      left: auto;
+      right: 0; }
+    html.theme--documenter-dark .dropdown.is-up .dropdown-menu {
+      bottom: 100%;
+      padding-bottom: 4px;
+      padding-top: initial;
+      top: auto; }
+  html.theme--documenter-dark .dropdown-menu {
+    display: none;
+    left: 0;
+    min-width: 12rem;
+    padding-top: 4px;
+    position: absolute;
+    top: 100%;
+    z-index: 20; }
+  html.theme--documenter-dark .dropdown-content {
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+    padding-bottom: 0.5rem;
+    padding-top: 0.5rem; }
+  html.theme--documenter-dark .dropdown-item {
+    color: #fff;
+    display: block;
+    font-size: 0.875rem;
+    line-height: 1.5;
+    padding: 0.375rem 1rem;
+    position: relative; }
+  html.theme--documenter-dark a.dropdown-item,
+  html.theme--documenter-dark button.dropdown-item {
+    padding-right: 3rem;
+    text-align: left;
+    white-space: nowrap;
+    width: 100%; }
+    html.theme--documenter-dark a.dropdown-item:hover,
+    html.theme--documenter-dark button.dropdown-item:hover {
+      background-color: #282f2f;
+      color: #0a0a0a; }
+    html.theme--documenter-dark a.dropdown-item.is-active,
+    html.theme--documenter-dark button.dropdown-item.is-active {
+      background-color: #1abc9c;
+      color: #fff; }
+  html.theme--documenter-dark .dropdown-divider {
+    background-color: #5e6d6f;
+    border: none;
+    display: block;
+    height: 1px;
+    margin: 0.5rem 0; }
+  html.theme--documenter-dark .level {
+    align-items: center;
+    justify-content: space-between; }
+    html.theme--documenter-dark .level code {
+      border-radius: 0.4em; }
+    html.theme--documenter-dark .level img {
+      display: inline-block;
+      vertical-align: top; }
+    html.theme--documenter-dark .level.is-mobile {
+      display: flex; }
+      html.theme--documenter-dark .level.is-mobile .level-left,
+      html.theme--documenter-dark .level.is-mobile .level-right {
+        display: flex; }
+      html.theme--documenter-dark .level.is-mobile .level-left + .level-right {
+        margin-top: 0; }
+      html.theme--documenter-dark .level.is-mobile .level-item:not(:last-child) {
+        margin-bottom: 0;
+        margin-right: 0.75rem; }
+      html.theme--documenter-dark .level.is-mobile .level-item:not(.is-narrow) {
+        flex-grow: 1; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level {
+        display: flex; }
+        html.theme--documenter-dark .level > .level-item:not(.is-narrow) {
+          flex-grow: 1; } }
+  html.theme--documenter-dark .level-item {
+    align-items: center;
+    display: flex;
+    flex-basis: auto;
+    flex-grow: 0;
+    flex-shrink: 0;
+    justify-content: center; }
+    html.theme--documenter-dark .level-item .title,
+    html.theme--documenter-dark .level-item .subtitle {
+      margin-bottom: 0; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .level-item:not(:last-child) {
+        margin-bottom: 0.75rem; } }
+  html.theme--documenter-dark .level-left,
+  html.theme--documenter-dark .level-right {
+    flex-basis: auto;
+    flex-grow: 0;
+    flex-shrink: 0; }
+    html.theme--documenter-dark .level-left .level-item.is-flexible,
+    html.theme--documenter-dark .level-right .level-item.is-flexible {
+      flex-grow: 1; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level-left .level-item:not(:last-child),
+      html.theme--documenter-dark .level-right .level-item:not(:last-child) {
+        margin-right: 0.75rem; } }
+  html.theme--documenter-dark .level-left {
+    align-items: center;
+    justify-content: flex-start; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .level-left + .level-right {
+        margin-top: 1.5rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level-left {
+        display: flex; } }
+  html.theme--documenter-dark .level-right {
+    align-items: center;
+    justify-content: flex-end; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .level-right {
+        display: flex; } }
+  html.theme--documenter-dark .list {
+    background-color: white;
+    border-radius: 0.4em;
+    box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); }
+  html.theme--documenter-dark .list-item {
+    display: block;
+    padding: 0.5em 1em; }
+    html.theme--documenter-dark .list-item:not(a) {
+      color: #fff; }
+    html.theme--documenter-dark .list-item:first-child {
+      border-top-left-radius: 0.4em;
+      border-top-right-radius: 0.4em; }
+    html.theme--documenter-dark .list-item:last-child {
+      border-bottom-left-radius: 0.4em;
+      border-bottom-right-radius: 0.4em; }
+    html.theme--documenter-dark .list-item:not(:last-child) {
+      border-bottom: 1px solid #5e6d6f; }
+    html.theme--documenter-dark .list-item.is-active {
+      background-color: #1abc9c;
+      color: #fff; }
+  html.theme--documenter-dark a.list-item {
+    background-color: #282f2f;
+    cursor: pointer; }
+  html.theme--documenter-dark .media {
+    align-items: flex-start;
+    display: flex;
+    text-align: left; }
+    html.theme--documenter-dark .media .content:not(:last-child) {
+      margin-bottom: 0.75rem; }
+    html.theme--documenter-dark .media .media {
+      border-top: 1px solid rgba(94, 109, 111, 0.5);
+      display: flex;
+      padding-top: 0.75rem; }
+      html.theme--documenter-dark .media .media .content:not(:last-child),
+      html.theme--documenter-dark .media .media .control:not(:last-child) {
+        margin-bottom: 0.5rem; }
+      html.theme--documenter-dark .media .media .media {
+        padding-top: 0.5rem; }
+        html.theme--documenter-dark .media .media .media + .media {
+          margin-top: 0.5rem; }
+    html.theme--documenter-dark .media + .media {
+      border-top: 1px solid rgba(94, 109, 111, 0.5);
+      margin-top: 1rem;
+      padding-top: 1rem; }
+    html.theme--documenter-dark .media.is-large + .media {
+      margin-top: 1.5rem;
+      padding-top: 1.5rem; }
+  html.theme--documenter-dark .media-left,
+  html.theme--documenter-dark .media-right {
+    flex-basis: auto;
+    flex-grow: 0;
+    flex-shrink: 0; }
+  html.theme--documenter-dark .media-left {
+    margin-right: 1rem; }
+  html.theme--documenter-dark .media-right {
+    margin-left: 1rem; }
+  html.theme--documenter-dark .media-content {
+    flex-basis: auto;
+    flex-grow: 1;
+    flex-shrink: 1;
+    text-align: left; }
+  @media screen and (max-width: 768px) {
+    html.theme--documenter-dark .media-content {
+      overflow-x: auto; } }
+  html.theme--documenter-dark .menu {
+    font-size: 15px; }
+    html.theme--documenter-dark .menu.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.menu {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .menu.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .menu.is-large {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .menu-list {
+    line-height: 1.25; }
+    html.theme--documenter-dark .menu-list a {
+      border-radius: 3px;
+      color: #fff;
+      display: block;
+      padding: 0.5em 0.75em; }
+      html.theme--documenter-dark .menu-list a:hover {
+        background-color: #282f2f;
+        color: #f2f2f2; }
+      html.theme--documenter-dark .menu-list a.is-active {
+        background-color: #1abc9c;
+        color: #fff; }
+    html.theme--documenter-dark .menu-list li ul {
+      border-left: 1px solid #5e6d6f;
+      margin: 0.75em;
+      padding-left: 0.75em; }
+  html.theme--documenter-dark .menu-label {
+    color: white;
+    font-size: 0.75em;
+    letter-spacing: 0.1em;
+    text-transform: uppercase; }
+    html.theme--documenter-dark .menu-label:not(:first-child) {
+      margin-top: 1em; }
+    html.theme--documenter-dark .menu-label:not(:last-child) {
+      margin-bottom: 1em; }
+  html.theme--documenter-dark .message {
+    background-color: #282f2f;
+    border-radius: 0.4em;
+    font-size: 15px; }
+    html.theme--documenter-dark .message strong {
+      color: currentColor; }
+    html.theme--documenter-dark .message a:not(.button):not(.tag):not(.dropdown-item) {
+      color: currentColor;
+      text-decoration: underline; }
+    html.theme--documenter-dark .message.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.message {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .message.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .message.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .message.is-white {
+      background-color: white; }
+      html.theme--documenter-dark .message.is-white .message-header {
+        background-color: white;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .message.is-white .message-body {
+        border-color: white;
+        color: #4d4d4d; }
+    html.theme--documenter-dark .message.is-black {
+      background-color: #fafafa; }
+      html.theme--documenter-dark .message.is-black .message-header {
+        background-color: #0a0a0a;
+        color: white; }
+      html.theme--documenter-dark .message.is-black .message-body {
+        border-color: #0a0a0a;
+        color: #090909; }
+    html.theme--documenter-dark .message.is-light {
+      background-color: #f9fafb; }
+      html.theme--documenter-dark .message.is-light .message-header {
+        background-color: #ecf0f1;
+        color: #282f2f; }
+      html.theme--documenter-dark .message.is-light .message-body {
+        border-color: #ecf0f1;
+        color: #505050; }
+    html.theme--documenter-dark .message.is-dark, html.theme--documenter-dark .content kbd.message {
+      background-color: #f9fafa; }
+      html.theme--documenter-dark .message.is-dark .message-header, html.theme--documenter-dark .content kbd.message .message-header {
+        background-color: #282f2f;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .message.is-dark .message-body, html.theme--documenter-dark .content kbd.message .message-body {
+        border-color: #282f2f;
+        color: #212526; }
+    html.theme--documenter-dark .message.is-primary, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink {
+      background-color: #f8fafc; }
+      html.theme--documenter-dark .message.is-primary .message-header, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink .message-header {
+        background-color: #375a7f;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-primary .message-body, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink .message-body {
+        border-color: #375a7f;
+        color: #2b4159; }
+    html.theme--documenter-dark .message.is-link {
+      background-color: #f6fefc; }
+      html.theme--documenter-dark .message.is-link .message-header {
+        background-color: #1abc9c;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-link .message-body {
+        border-color: #1abc9c;
+        color: #0b2f28; }
+    html.theme--documenter-dark .message.is-info {
+      background-color: #f5fbff; }
+      html.theme--documenter-dark .message.is-info .message-header {
+        background-color: #024c7d;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-info .message-body {
+        border-color: #024c7d;
+        color: #033659; }
+    html.theme--documenter-dark .message.is-success {
+      background-color: #f5fff9; }
+      html.theme--documenter-dark .message.is-success .message-header {
+        background-color: #008438;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-success .message-body {
+        border-color: #008438;
+        color: #023518; }
+    html.theme--documenter-dark .message.is-warning {
+      background-color: #fffcf5; }
+      html.theme--documenter-dark .message.is-warning .message-header {
+        background-color: #ad8100;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-warning .message-body {
+        border-color: #ad8100;
+        color: #3d2e03; }
+    html.theme--documenter-dark .message.is-danger {
+      background-color: #fef6f6; }
+      html.theme--documenter-dark .message.is-danger .message-header {
+        background-color: #9e1b0d;
+        color: #fff; }
+      html.theme--documenter-dark .message.is-danger .message-body {
+        border-color: #9e1b0d;
+        color: #7a170c; }
+  html.theme--documenter-dark .message-header {
+    align-items: center;
+    background-color: #fff;
+    border-radius: 0.4em 0.4em 0 0;
+    color: rgba(0, 0, 0, 0.7);
+    display: flex;
+    font-weight: 700;
+    justify-content: space-between;
+    line-height: 1.25;
+    padding: 0.75em 1em;
+    position: relative; }
+    html.theme--documenter-dark .message-header .delete {
+      flex-grow: 0;
+      flex-shrink: 0;
+      margin-left: 0.75em; }
+    html.theme--documenter-dark .message-header + .message-body {
+      border-width: 0;
+      border-top-left-radius: 0;
+      border-top-right-radius: 0; }
+  html.theme--documenter-dark .message-body {
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    border-style: solid;
+    border-width: 0 0 0 4px;
+    color: #fff;
+    padding: 1.25em 1.5em; }
+    html.theme--documenter-dark .message-body code,
+    html.theme--documenter-dark .message-body pre {
+      background-color: white; }
+    html.theme--documenter-dark .message-body pre code {
+      background-color: transparent; }
+  html.theme--documenter-dark .modal {
+    align-items: center;
+    display: none;
+    flex-direction: column;
+    justify-content: center;
+    overflow: hidden;
+    position: fixed;
+    z-index: 40; }
+    html.theme--documenter-dark .modal.is-active {
+      display: flex; }
+  html.theme--documenter-dark .modal-background {
+    background-color: rgba(10, 10, 10, 0.86); }
+  html.theme--documenter-dark .modal-content,
+  html.theme--documenter-dark .modal-card {
+    margin: 0 20px;
+    max-height: calc(100vh - 160px);
+    overflow: auto;
+    position: relative;
+    width: 100%; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .modal-content,
+      html.theme--documenter-dark .modal-card {
+        margin: 0 auto;
+        max-height: calc(100vh - 40px);
+        width: 640px; } }
+  html.theme--documenter-dark .modal-close {
+    background: none;
+    height: 40px;
+    position: fixed;
+    right: 20px;
+    top: 20px;
+    width: 40px; }
+  html.theme--documenter-dark .modal-card {
+    display: flex;
+    flex-direction: column;
+    max-height: calc(100vh - 40px);
+    overflow: hidden;
+    -ms-overflow-y: visible; }
+  html.theme--documenter-dark .modal-card-head,
+  html.theme--documenter-dark .modal-card-foot {
+    align-items: center;
+    background-color: #282f2f;
+    display: flex;
+    flex-shrink: 0;
+    justify-content: flex-start;
+    padding: 20px;
+    position: relative; }
+  html.theme--documenter-dark .modal-card-head {
+    border-bottom: 1px solid #5e6d6f;
+    border-top-left-radius: 8px;
+    border-top-right-radius: 8px; }
+  html.theme--documenter-dark .modal-card-title {
+    color: #f2f2f2;
+    flex-grow: 1;
+    flex-shrink: 0;
+    font-size: 1.5rem;
+    line-height: 1; }
+  html.theme--documenter-dark .modal-card-foot {
+    border-bottom-left-radius: 8px;
+    border-bottom-right-radius: 8px;
+    border-top: 1px solid #5e6d6f; }
+    html.theme--documenter-dark .modal-card-foot .button:not(:last-child) {
+      margin-right: 0.5em; }
+  html.theme--documenter-dark .modal-card-body {
+    -webkit-overflow-scrolling: touch;
+    background-color: white;
+    flex-grow: 1;
+    flex-shrink: 1;
+    overflow: auto;
+    padding: 20px; }
+  html.theme--documenter-dark .navbar {
+    background-color: #375a7f;
+    min-height: 4rem;
+    position: relative;
+    z-index: 30; }
+    html.theme--documenter-dark .navbar.is-white {
+      background-color: white;
+      color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link {
+        color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link.is-active {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link::after {
+        border-color: #0a0a0a; }
+      html.theme--documenter-dark .navbar.is-white .navbar-burger {
+        color: #0a0a0a; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-white .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link {
+          color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link.is-active {
+          background-color: #f2f2f2;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link::after {
+          border-color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #f2f2f2;
+          color: #0a0a0a; }
+        html.theme--documenter-dark .navbar.is-white .navbar-dropdown a.navbar-item.is-active {
+          background-color: white;
+          color: #0a0a0a; } }
+    html.theme--documenter-dark .navbar.is-black {
+      background-color: #0a0a0a;
+      color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link {
+        color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link.is-active {
+        background-color: black;
+        color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link::after {
+        border-color: white; }
+      html.theme--documenter-dark .navbar.is-black .navbar-burger {
+        color: white; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-black .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link {
+          color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link.is-active {
+          background-color: black;
+          color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link::after {
+          border-color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: black;
+          color: white; }
+        html.theme--documenter-dark .navbar.is-black .navbar-dropdown a.navbar-item.is-active {
+          background-color: #0a0a0a;
+          color: white; } }
+    html.theme--documenter-dark .navbar.is-light {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link {
+        color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link.is-active {
+        background-color: #dde4e6;
+        color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link::after {
+        border-color: #282f2f; }
+      html.theme--documenter-dark .navbar.is-light .navbar-burger {
+        color: #282f2f; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-light .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link {
+          color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link.is-active {
+          background-color: #dde4e6;
+          color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link::after {
+          border-color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #dde4e6;
+          color: #282f2f; }
+        html.theme--documenter-dark .navbar.is-light .navbar-dropdown a.navbar-item.is-active {
+          background-color: #ecf0f1;
+          color: #282f2f; } }
+    html.theme--documenter-dark .navbar.is-dark, html.theme--documenter-dark .content kbd.navbar {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand > .navbar-item, html.theme--documenter-dark .content kbd.navbar .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link {
+        color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link.is-active,
+      html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link.is-active {
+        background-color: #1d2122;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link::after, html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link::after {
+        border-color: #ecf0f1; }
+      html.theme--documenter-dark .navbar.is-dark .navbar-burger, html.theme--documenter-dark .content kbd.navbar .navbar-burger {
+        color: #ecf0f1; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-dark .navbar-start > .navbar-item, html.theme--documenter-dark .content kbd.navbar .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > .navbar-item,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link {
+          color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link.is-active,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link.is-active {
+          background-color: #1d2122;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link::after, html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link::after,
+        html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link::after {
+          border-color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown.is-active .navbar-link,
+        html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #1d2122;
+          color: #ecf0f1; }
+        html.theme--documenter-dark .navbar.is-dark .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-dropdown a.navbar-item.is-active {
+          background-color: #282f2f;
+          color: #ecf0f1; } }
+    html.theme--documenter-dark .navbar.is-primary, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink {
+      background-color: #375a7f;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand > .navbar-item, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link.is-active,
+      html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link.is-active {
+        background-color: #2f4d6d;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link::after, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-primary .navbar-burger, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-primary .navbar-start > .navbar-item, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > .navbar-item,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link.is-active,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link.is-active {
+          background-color: #2f4d6d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link::after, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link::after,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown.is-active .navbar-link,
+        html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #2f4d6d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active {
+          background-color: #375a7f;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-link {
+      background-color: #1abc9c;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link.is-active {
+        background-color: #17a689;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-link .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-link .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link.is-active {
+          background-color: #17a689;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #17a689;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-link .navbar-dropdown a.navbar-item.is-active {
+          background-color: #1abc9c;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-info {
+      background-color: #024c7d;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link.is-active {
+        background-color: #023d64;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-info .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-info .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link.is-active {
+          background-color: #023d64;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #023d64;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-info .navbar-dropdown a.navbar-item.is-active {
+          background-color: #024c7d;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-success {
+      background-color: #008438;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link.is-active {
+        background-color: #006b2d;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-success .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-success .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link.is-active {
+          background-color: #006b2d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #006b2d;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-success .navbar-dropdown a.navbar-item.is-active {
+          background-color: #008438;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-warning {
+      background-color: #ad8100;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link.is-active {
+        background-color: #946e00;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-warning .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-warning .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link.is-active {
+          background-color: #946e00;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #946e00;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-warning .navbar-dropdown a.navbar-item.is-active {
+          background-color: #ad8100;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar.is-danger {
+      background-color: #9e1b0d;
+      color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand > .navbar-item,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link {
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link.is-active {
+        background-color: #86170b;
+        color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link::after {
+        border-color: #fff; }
+      html.theme--documenter-dark .navbar.is-danger .navbar-burger {
+        color: #fff; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark .navbar.is-danger .navbar-start > .navbar-item,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > .navbar-item,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link {
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link.is-active,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item:focus,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item:hover,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item.is-active,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link:focus,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link:hover,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link.is-active {
+          background-color: #86170b;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link::after,
+        html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link::after {
+          border-color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown:focus .navbar-link,
+        html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown:hover .navbar-link,
+        html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown.is-active .navbar-link {
+          background-color: #86170b;
+          color: #fff; }
+        html.theme--documenter-dark .navbar.is-danger .navbar-dropdown a.navbar-item.is-active {
+          background-color: #9e1b0d;
+          color: #fff; } }
+    html.theme--documenter-dark .navbar > .container {
+      align-items: stretch;
+      display: flex;
+      min-height: 4rem;
+      width: 100%; }
+    html.theme--documenter-dark .navbar.has-shadow {
+      box-shadow: 0 2px 0 0 #282f2f; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom, html.theme--documenter-dark .navbar.is-fixed-top {
+      left: 0;
+      position: fixed;
+      right: 0;
+      z-index: 30; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom {
+      bottom: 0; }
+      html.theme--documenter-dark .navbar.is-fixed-bottom.has-shadow {
+        box-shadow: 0 -2px 0 0 #282f2f; }
+    html.theme--documenter-dark .navbar.is-fixed-top {
+      top: 0; }
+  html.theme--documenter-dark html.has-navbar-fixed-top,
+  html.theme--documenter-dark body.has-navbar-fixed-top {
+    padding-top: 4rem; }
+  html.theme--documenter-dark html.has-navbar-fixed-bottom,
+  html.theme--documenter-dark body.has-navbar-fixed-bottom {
+    padding-bottom: 4rem; }
+  html.theme--documenter-dark .navbar-brand,
+  html.theme--documenter-dark .navbar-tabs {
+    align-items: stretch;
+    display: flex;
+    flex-shrink: 0;
+    min-height: 4rem; }
+  html.theme--documenter-dark .navbar-brand a.navbar-item:focus, html.theme--documenter-dark .navbar-brand a.navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .navbar-tabs {
+    -webkit-overflow-scrolling: touch;
+    max-width: 100vw;
+    overflow-x: auto;
+    overflow-y: hidden; }
+  html.theme--documenter-dark .navbar-burger {
+    color: #fff;
+    cursor: pointer;
+    display: block;
+    height: 4rem;
+    position: relative;
+    width: 4rem;
+    margin-left: auto; }
+    html.theme--documenter-dark .navbar-burger span {
+      background-color: currentColor;
+      display: block;
+      height: 1px;
+      left: calc(50% - 8px);
+      position: absolute;
+      transform-origin: center;
+      transition-duration: 86ms;
+      transition-property: background-color, opacity, transform;
+      transition-timing-function: ease-out;
+      width: 16px; }
+      html.theme--documenter-dark .navbar-burger span:nth-child(1) {
+        top: calc(50% - 6px); }
+      html.theme--documenter-dark .navbar-burger span:nth-child(2) {
+        top: calc(50% - 1px); }
+      html.theme--documenter-dark .navbar-burger span:nth-child(3) {
+        top: calc(50% + 4px); }
+    html.theme--documenter-dark .navbar-burger:hover {
+      background-color: rgba(0, 0, 0, 0.05); }
+    html.theme--documenter-dark .navbar-burger.is-active span:nth-child(1) {
+      transform: translateY(5px) rotate(45deg); }
+    html.theme--documenter-dark .navbar-burger.is-active span:nth-child(2) {
+      opacity: 0; }
+    html.theme--documenter-dark .navbar-burger.is-active span:nth-child(3) {
+      transform: translateY(-5px) rotate(-45deg); }
+  html.theme--documenter-dark .navbar-menu {
+    display: none; }
+  html.theme--documenter-dark .navbar-item,
+  html.theme--documenter-dark .navbar-link {
+    color: #fff;
+    display: block;
+    line-height: 1.5;
+    padding: 0.5rem 0.75rem;
+    position: relative; }
+    html.theme--documenter-dark .navbar-item .icon:only-child,
+    html.theme--documenter-dark .navbar-link .icon:only-child {
+      margin-left: -0.25rem;
+      margin-right: -0.25rem; }
+  html.theme--documenter-dark a.navbar-item,
+  html.theme--documenter-dark .navbar-link {
+    cursor: pointer; }
+    html.theme--documenter-dark a.navbar-item:focus, html.theme--documenter-dark a.navbar-item:focus-within, html.theme--documenter-dark a.navbar-item:hover, html.theme--documenter-dark a.navbar-item.is-active,
+    html.theme--documenter-dark .navbar-link:focus,
+    html.theme--documenter-dark .navbar-link:focus-within,
+    html.theme--documenter-dark .navbar-link:hover,
+    html.theme--documenter-dark .navbar-link.is-active {
+      background-color: transparent;
+      color: #1abc9c; }
+  html.theme--documenter-dark .navbar-item {
+    display: block;
+    flex-grow: 0;
+    flex-shrink: 0; }
+    html.theme--documenter-dark .navbar-item img {
+      max-height: 1.75rem; }
+    html.theme--documenter-dark .navbar-item.has-dropdown {
+      padding: 0; }
+    html.theme--documenter-dark .navbar-item.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .navbar-item.is-tab {
+      border-bottom: 1px solid transparent;
+      min-height: 4rem;
+      padding-bottom: calc(0.5rem - 1px); }
+      html.theme--documenter-dark .navbar-item.is-tab:focus, html.theme--documenter-dark .navbar-item.is-tab:hover {
+        background-color: transparent;
+        border-bottom-color: #1abc9c; }
+      html.theme--documenter-dark .navbar-item.is-tab.is-active {
+        background-color: transparent;
+        border-bottom-color: #1abc9c;
+        border-bottom-style: solid;
+        border-bottom-width: 3px;
+        color: #1abc9c;
+        padding-bottom: calc(0.5rem - 3px); }
+  html.theme--documenter-dark .navbar-content {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  html.theme--documenter-dark .navbar-link:not(.is-arrowless) {
+    padding-right: 2.5em; }
+    html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after {
+      border-color: #fff;
+      margin-top: -0.375em;
+      right: 1.125em; }
+  html.theme--documenter-dark .navbar-dropdown {
+    font-size: 0.875rem;
+    padding-bottom: 0.5rem;
+    padding-top: 0.5rem; }
+    html.theme--documenter-dark .navbar-dropdown .navbar-item {
+      padding-left: 1.5rem;
+      padding-right: 1.5rem; }
+  html.theme--documenter-dark .navbar-divider {
+    background-color: rgba(0, 0, 0, 0.2);
+    border: none;
+    display: none;
+    height: 2px;
+    margin: 0.5rem 0; }
+  @media screen and (max-width: 1055px) {
+    html.theme--documenter-dark .navbar > .container {
+      display: block; }
+    html.theme--documenter-dark .navbar-brand .navbar-item,
+    html.theme--documenter-dark .navbar-tabs .navbar-item {
+      align-items: center;
+      display: flex; }
+    html.theme--documenter-dark .navbar-link::after {
+      display: none; }
+    html.theme--documenter-dark .navbar-menu {
+      background-color: #375a7f;
+      box-shadow: 0 8px 16px rgba(10, 10, 10, 0.1);
+      padding: 0.5rem 0; }
+      html.theme--documenter-dark .navbar-menu.is-active {
+        display: block; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-touch, html.theme--documenter-dark .navbar.is-fixed-top-touch {
+      left: 0;
+      position: fixed;
+      right: 0;
+      z-index: 30; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-touch {
+      bottom: 0; }
+      html.theme--documenter-dark .navbar.is-fixed-bottom-touch.has-shadow {
+        box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+    html.theme--documenter-dark .navbar.is-fixed-top-touch {
+      top: 0; }
+    html.theme--documenter-dark .navbar.is-fixed-top .navbar-menu, html.theme--documenter-dark .navbar.is-fixed-top-touch .navbar-menu {
+      -webkit-overflow-scrolling: touch;
+      max-height: calc(100vh - 4rem);
+      overflow: auto; }
+    html.theme--documenter-dark html.has-navbar-fixed-top-touch,
+    html.theme--documenter-dark body.has-navbar-fixed-top-touch {
+      padding-top: 4rem; }
+    html.theme--documenter-dark html.has-navbar-fixed-bottom-touch,
+    html.theme--documenter-dark body.has-navbar-fixed-bottom-touch {
+      padding-bottom: 4rem; } }
+  @media screen and (min-width: 1056px) {
+    html.theme--documenter-dark .navbar,
+    html.theme--documenter-dark .navbar-menu,
+    html.theme--documenter-dark .navbar-start,
+    html.theme--documenter-dark .navbar-end {
+      align-items: stretch;
+      display: flex; }
+    html.theme--documenter-dark .navbar {
+      min-height: 4rem; }
+      html.theme--documenter-dark .navbar.is-spaced {
+        padding: 1rem 2rem; }
+        html.theme--documenter-dark .navbar.is-spaced .navbar-start,
+        html.theme--documenter-dark .navbar.is-spaced .navbar-end {
+          align-items: center; }
+        html.theme--documenter-dark .navbar.is-spaced a.navbar-item,
+        html.theme--documenter-dark .navbar.is-spaced .navbar-link {
+          border-radius: 0.4em; }
+      html.theme--documenter-dark .navbar.is-transparent a.navbar-item:focus, html.theme--documenter-dark .navbar.is-transparent a.navbar-item:hover, html.theme--documenter-dark .navbar.is-transparent a.navbar-item.is-active,
+      html.theme--documenter-dark .navbar.is-transparent .navbar-link:focus,
+      html.theme--documenter-dark .navbar.is-transparent .navbar-link:hover,
+      html.theme--documenter-dark .navbar.is-transparent .navbar-link.is-active {
+        background-color: transparent !important; }
+      html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-active .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus-within .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:hover .navbar-link {
+        background-color: transparent !important; }
+      html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item:focus, html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item:hover {
+        background-color: transparent;
+        color: #dbdee0; }
+      html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item.is-active {
+        background-color: transparent;
+        color: #1abc9c; }
+    html.theme--documenter-dark .navbar-burger {
+      display: none; }
+    html.theme--documenter-dark .navbar-item,
+    html.theme--documenter-dark .navbar-link {
+      align-items: center;
+      display: flex; }
+    html.theme--documenter-dark .navbar-item {
+      display: flex; }
+      html.theme--documenter-dark .navbar-item.has-dropdown {
+        align-items: stretch; }
+      html.theme--documenter-dark .navbar-item.has-dropdown-up .navbar-link::after {
+        transform: rotate(135deg) translate(0.25em, -0.25em); }
+      html.theme--documenter-dark .navbar-item.has-dropdown-up .navbar-dropdown {
+        border-bottom: 1px solid rgba(0, 0, 0, 0.2);
+        border-radius: 8px 8px 0 0;
+        border-top: none;
+        bottom: 100%;
+        box-shadow: 0 -8px 8px rgba(10, 10, 10, 0.1);
+        top: auto; }
+      html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown {
+        display: block; }
+        .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed {
+          opacity: 1;
+          pointer-events: auto;
+          transform: translateY(0); }
+    html.theme--documenter-dark .navbar-menu {
+      flex-grow: 1;
+      flex-shrink: 0; }
+    html.theme--documenter-dark .navbar-start {
+      justify-content: flex-start;
+      margin-right: auto; }
+    html.theme--documenter-dark .navbar-end {
+      justify-content: flex-end;
+      margin-left: auto; }
+    html.theme--documenter-dark .navbar-dropdown {
+      background-color: #375a7f;
+      border-bottom-left-radius: 8px;
+      border-bottom-right-radius: 8px;
+      border-top: 1px solid rgba(0, 0, 0, 0.2);
+      box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1);
+      display: none;
+      font-size: 0.875rem;
+      left: 0;
+      min-width: 100%;
+      position: absolute;
+      top: 100%;
+      z-index: 20; }
+      html.theme--documenter-dark .navbar-dropdown .navbar-item {
+        padding: 0.375rem 1rem;
+        white-space: nowrap; }
+      html.theme--documenter-dark .navbar-dropdown a.navbar-item {
+        padding-right: 3rem; }
+        html.theme--documenter-dark .navbar-dropdown a.navbar-item:focus, html.theme--documenter-dark .navbar-dropdown a.navbar-item:hover {
+          background-color: transparent;
+          color: #dbdee0; }
+        html.theme--documenter-dark .navbar-dropdown a.navbar-item.is-active {
+          background-color: transparent;
+          color: #1abc9c; }
+      .navbar.is-spaced html.theme--documenter-dark .navbar-dropdown, html.theme--documenter-dark .navbar-dropdown.is-boxed {
+        border-radius: 8px;
+        border-top: none;
+        box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+        display: block;
+        opacity: 0;
+        pointer-events: none;
+        top: calc(100% + (-4px));
+        transform: translateY(-5px);
+        transition-duration: 86ms;
+        transition-property: opacity, transform; }
+      html.theme--documenter-dark .navbar-dropdown.is-right {
+        left: auto;
+        right: 0; }
+    html.theme--documenter-dark .navbar-divider {
+      display: block; }
+    html.theme--documenter-dark .navbar > .container .navbar-brand,
+    html.theme--documenter-dark .container > .navbar .navbar-brand {
+      margin-left: -.75rem; }
+    html.theme--documenter-dark .navbar > .container .navbar-menu,
+    html.theme--documenter-dark .container > .navbar .navbar-menu {
+      margin-right: -.75rem; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-desktop, html.theme--documenter-dark .navbar.is-fixed-top-desktop {
+      left: 0;
+      position: fixed;
+      right: 0;
+      z-index: 30; }
+    html.theme--documenter-dark .navbar.is-fixed-bottom-desktop {
+      bottom: 0; }
+      html.theme--documenter-dark .navbar.is-fixed-bottom-desktop.has-shadow {
+        box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+    html.theme--documenter-dark .navbar.is-fixed-top-desktop {
+      top: 0; }
+    html.theme--documenter-dark html.has-navbar-fixed-top-desktop,
+    html.theme--documenter-dark body.has-navbar-fixed-top-desktop {
+      padding-top: 4rem; }
+    html.theme--documenter-dark html.has-navbar-fixed-bottom-desktop,
+    html.theme--documenter-dark body.has-navbar-fixed-bottom-desktop {
+      padding-bottom: 4rem; }
+    html.theme--documenter-dark html.has-spaced-navbar-fixed-top,
+    html.theme--documenter-dark body.has-spaced-navbar-fixed-top {
+      padding-top: 6rem; }
+    html.theme--documenter-dark html.has-spaced-navbar-fixed-bottom,
+    html.theme--documenter-dark body.has-spaced-navbar-fixed-bottom {
+      padding-bottom: 6rem; }
+    html.theme--documenter-dark a.navbar-item.is-active,
+    html.theme--documenter-dark .navbar-link.is-active {
+      color: #1abc9c; }
+    html.theme--documenter-dark a.navbar-item.is-active:not(:focus):not(:hover),
+    html.theme--documenter-dark .navbar-link.is-active:not(:focus):not(:hover) {
+      background-color: transparent; }
+    html.theme--documenter-dark .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .navbar-item.has-dropdown:hover .navbar-link, html.theme--documenter-dark .navbar-item.has-dropdown.is-active .navbar-link {
+      background-color: transparent; } }
+  html.theme--documenter-dark .hero.is-fullheight-with-navbar {
+    min-height: calc(100vh - 4rem); }
+  html.theme--documenter-dark .pagination {
+    font-size: 15px;
+    margin: -0.25rem; }
+    html.theme--documenter-dark .pagination.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .pagination.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .pagination.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .pagination.is-rounded .pagination-previous, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-previous,
+    html.theme--documenter-dark .pagination.is-rounded .pagination-next,
+    html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-next {
+      padding-left: 1em;
+      padding-right: 1em;
+      border-radius: 290486px; }
+    html.theme--documenter-dark .pagination.is-rounded .pagination-link, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-link {
+      border-radius: 290486px; }
+  html.theme--documenter-dark .pagination,
+  html.theme--documenter-dark .pagination-list {
+    align-items: center;
+    display: flex;
+    justify-content: center;
+    text-align: center; }
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark .pagination-ellipsis {
+    font-size: 1em;
+    justify-content: center;
+    margin: 0.25rem;
+    padding-left: 0.5em;
+    padding-right: 0.5em;
+    text-align: center; }
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-link {
+    border-color: #5e6d6f;
+    color: #1abc9c;
+    min-width: 2.25em; }
+    html.theme--documenter-dark .pagination-previous:hover,
+    html.theme--documenter-dark .pagination-next:hover,
+    html.theme--documenter-dark .pagination-link:hover {
+      border-color: #8c9b9d;
+      color: #1dd2af; }
+    html.theme--documenter-dark .pagination-previous:focus,
+    html.theme--documenter-dark .pagination-next:focus,
+    html.theme--documenter-dark .pagination-link:focus {
+      border-color: #8c9b9d; }
+    html.theme--documenter-dark .pagination-previous:active,
+    html.theme--documenter-dark .pagination-next:active,
+    html.theme--documenter-dark .pagination-link:active {
+      box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2); }
+    html.theme--documenter-dark .pagination-previous[disabled],
+    html.theme--documenter-dark .pagination-next[disabled],
+    html.theme--documenter-dark .pagination-link[disabled] {
+      background-color: #dbdee0;
+      border-color: #dbdee0;
+      box-shadow: none;
+      color: #5e6d6f;
+      opacity: 0.5; }
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .pagination-next {
+    padding-left: 0.75em;
+    padding-right: 0.75em;
+    white-space: nowrap; }
+  html.theme--documenter-dark .pagination-link.is-current {
+    background-color: #1abc9c;
+    border-color: #1abc9c;
+    color: #fff; }
+  html.theme--documenter-dark .pagination-ellipsis {
+    color: #8c9b9d;
+    pointer-events: none; }
+  html.theme--documenter-dark .pagination-list {
+    flex-wrap: wrap; }
+  @media screen and (max-width: 768px) {
+    html.theme--documenter-dark .pagination {
+      flex-wrap: wrap; }
+    html.theme--documenter-dark .pagination-previous,
+    html.theme--documenter-dark .pagination-next {
+      flex-grow: 1;
+      flex-shrink: 1; }
+    html.theme--documenter-dark .pagination-list li {
+      flex-grow: 1;
+      flex-shrink: 1; } }
+  @media screen and (min-width: 769px), print {
+    html.theme--documenter-dark .pagination-list {
+      flex-grow: 1;
+      flex-shrink: 1;
+      justify-content: flex-start;
+      order: 1; }
+    html.theme--documenter-dark .pagination-previous {
+      order: 2; }
+    html.theme--documenter-dark .pagination-next {
+      order: 3; }
+    html.theme--documenter-dark .pagination {
+      justify-content: space-between; }
+      html.theme--documenter-dark .pagination.is-centered .pagination-previous {
+        order: 1; }
+      html.theme--documenter-dark .pagination.is-centered .pagination-list {
+        justify-content: center;
+        order: 2; }
+      html.theme--documenter-dark .pagination.is-centered .pagination-next {
+        order: 3; }
+      html.theme--documenter-dark .pagination.is-right .pagination-previous {
+        order: 1; }
+      html.theme--documenter-dark .pagination.is-right .pagination-next {
+        order: 2; }
+      html.theme--documenter-dark .pagination.is-right .pagination-list {
+        justify-content: flex-end;
+        order: 3; } }
+  html.theme--documenter-dark .panel {
+    font-size: 15px; }
+    html.theme--documenter-dark .panel:not(:last-child) {
+      margin-bottom: 1.5rem; }
+  html.theme--documenter-dark .panel-heading,
+  html.theme--documenter-dark .panel-tabs,
+  html.theme--documenter-dark .panel-block {
+    border-bottom: 1px solid #5e6d6f;
+    border-left: 1px solid #5e6d6f;
+    border-right: 1px solid #5e6d6f; }
+    html.theme--documenter-dark .panel-heading:first-child,
+    html.theme--documenter-dark .panel-tabs:first-child,
+    html.theme--documenter-dark .panel-block:first-child {
+      border-top: 1px solid #5e6d6f; }
+  html.theme--documenter-dark .panel-heading {
+    background-color: #282f2f;
+    border-radius: 0.4em 0.4em 0 0;
+    color: #f2f2f2;
+    font-size: 1.25em;
+    font-weight: 300;
+    line-height: 1.25;
+    padding: 0.5em 0.75em; }
+  html.theme--documenter-dark .panel-tabs {
+    align-items: flex-end;
+    display: flex;
+    font-size: 0.875em;
+    justify-content: center; }
+    html.theme--documenter-dark .panel-tabs a {
+      border-bottom: 1px solid #5e6d6f;
+      margin-bottom: -1px;
+      padding: 0.5em; }
+      html.theme--documenter-dark .panel-tabs a.is-active {
+        border-bottom-color: #343c3d;
+        color: #17a689; }
+  html.theme--documenter-dark .panel-list a {
+    color: #fff; }
+    html.theme--documenter-dark .panel-list a:hover {
+      color: #1abc9c; }
+  html.theme--documenter-dark .panel-block {
+    align-items: center;
+    color: #f2f2f2;
+    display: flex;
+    justify-content: flex-start;
+    padding: 0.5em 0.75em; }
+    html.theme--documenter-dark .panel-block input[type="checkbox"] {
+      margin-right: 0.75em; }
+    html.theme--documenter-dark .panel-block > .control {
+      flex-grow: 1;
+      flex-shrink: 1;
+      width: 100%; }
+    html.theme--documenter-dark .panel-block.is-wrapped {
+      flex-wrap: wrap; }
+    html.theme--documenter-dark .panel-block.is-active {
+      border-left-color: #1abc9c;
+      color: #17a689; }
+      html.theme--documenter-dark .panel-block.is-active .panel-icon {
+        color: #1abc9c; }
+  html.theme--documenter-dark a.panel-block,
+  html.theme--documenter-dark label.panel-block {
+    cursor: pointer; }
+    html.theme--documenter-dark a.panel-block:hover,
+    html.theme--documenter-dark label.panel-block:hover {
+      background-color: #282f2f; }
+  html.theme--documenter-dark .panel-icon {
+    display: inline-block;
+    font-size: 14px;
+    height: 1em;
+    line-height: 1em;
+    text-align: center;
+    vertical-align: top;
+    width: 1em;
+    color: white;
+    margin-right: 0.75em; }
+    html.theme--documenter-dark .panel-icon .fa {
+      font-size: inherit;
+      line-height: inherit; }
+  html.theme--documenter-dark .tabs {
+    -webkit-overflow-scrolling: touch;
+    align-items: stretch;
+    display: flex;
+    font-size: 15px;
+    justify-content: space-between;
+    overflow: hidden;
+    overflow-x: auto;
+    white-space: nowrap; }
+    html.theme--documenter-dark .tabs a {
+      align-items: center;
+      border-bottom-color: #5e6d6f;
+      border-bottom-style: solid;
+      border-bottom-width: 1px;
+      color: #fff;
+      display: flex;
+      justify-content: center;
+      margin-bottom: -1px;
+      padding: 0.5em 1em;
+      vertical-align: top; }
+      html.theme--documenter-dark .tabs a:hover {
+        border-bottom-color: #f2f2f2;
+        color: #f2f2f2; }
+    html.theme--documenter-dark .tabs li {
+      display: block; }
+      html.theme--documenter-dark .tabs li.is-active a {
+        border-bottom-color: #1abc9c;
+        color: #1abc9c; }
+    html.theme--documenter-dark .tabs ul {
+      align-items: center;
+      border-bottom-color: #5e6d6f;
+      border-bottom-style: solid;
+      border-bottom-width: 1px;
+      display: flex;
+      flex-grow: 1;
+      flex-shrink: 0;
+      justify-content: flex-start; }
+      html.theme--documenter-dark .tabs ul.is-left {
+        padding-right: 0.75em; }
+      html.theme--documenter-dark .tabs ul.is-center {
+        flex: none;
+        justify-content: center;
+        padding-left: 0.75em;
+        padding-right: 0.75em; }
+      html.theme--documenter-dark .tabs ul.is-right {
+        justify-content: flex-end;
+        padding-left: 0.75em; }
+    html.theme--documenter-dark .tabs .icon:first-child {
+      margin-right: 0.5em; }
+    html.theme--documenter-dark .tabs .icon:last-child {
+      margin-left: 0.5em; }
+    html.theme--documenter-dark .tabs.is-centered ul {
+      justify-content: center; }
+    html.theme--documenter-dark .tabs.is-right ul {
+      justify-content: flex-end; }
+    html.theme--documenter-dark .tabs.is-boxed a {
+      border: 1px solid transparent;
+      border-radius: 0.4em 0.4em 0 0; }
+      html.theme--documenter-dark .tabs.is-boxed a:hover {
+        background-color: #282f2f;
+        border-bottom-color: #5e6d6f; }
+    html.theme--documenter-dark .tabs.is-boxed li.is-active a {
+      background-color: white;
+      border-color: #5e6d6f;
+      border-bottom-color: transparent !important; }
+    html.theme--documenter-dark .tabs.is-fullwidth li {
+      flex-grow: 1;
+      flex-shrink: 0; }
+    html.theme--documenter-dark .tabs.is-toggle a {
+      border-color: #5e6d6f;
+      border-style: solid;
+      border-width: 1px;
+      margin-bottom: 0;
+      position: relative; }
+      html.theme--documenter-dark .tabs.is-toggle a:hover {
+        background-color: #282f2f;
+        border-color: #8c9b9d;
+        z-index: 2; }
+    html.theme--documenter-dark .tabs.is-toggle li + li {
+      margin-left: -1px; }
+    html.theme--documenter-dark .tabs.is-toggle li:first-child a {
+      border-radius: 0.4em 0 0 0.4em; }
+    html.theme--documenter-dark .tabs.is-toggle li:last-child a {
+      border-radius: 0 0.4em 0.4em 0; }
+    html.theme--documenter-dark .tabs.is-toggle li.is-active a {
+      background-color: #1abc9c;
+      border-color: #1abc9c;
+      color: #fff;
+      z-index: 1; }
+    html.theme--documenter-dark .tabs.is-toggle ul {
+      border-bottom: none; }
+    html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:first-child a {
+      border-bottom-left-radius: 290486px;
+      border-top-left-radius: 290486px;
+      padding-left: 1.25em; }
+    html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:last-child a {
+      border-bottom-right-radius: 290486px;
+      border-top-right-radius: 290486px;
+      padding-right: 1.25em; }
+    html.theme--documenter-dark .tabs.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.tabs {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .tabs.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .tabs.is-large {
+      font-size: 1.5rem; }
+  html.theme--documenter-dark .column {
+    display: block;
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 1;
+    padding: 0.75rem; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-narrow {
+      flex: none; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-full {
+      flex: none;
+      width: 100%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-three-quarters {
+      flex: none;
+      width: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-two-thirds {
+      flex: none;
+      width: 66.6666%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-half {
+      flex: none;
+      width: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-one-third {
+      flex: none;
+      width: 33.3333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-one-quarter {
+      flex: none;
+      width: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-one-fifth {
+      flex: none;
+      width: 20%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-two-fifths {
+      flex: none;
+      width: 40%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-three-fifths {
+      flex: none;
+      width: 60%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-four-fifths {
+      flex: none;
+      width: 80%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-three-quarters {
+      margin-left: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-two-thirds {
+      margin-left: 66.6666%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-half {
+      margin-left: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-third {
+      margin-left: 33.3333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-quarter {
+      margin-left: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-fifth {
+      margin-left: 20%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-two-fifths {
+      margin-left: 40%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-three-fifths {
+      margin-left: 60%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-four-fifths {
+      margin-left: 80%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-0 {
+      flex: none;
+      width: 0%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-0 {
+      margin-left: 0%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-1 {
+      flex: none;
+      width: 8.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-1 {
+      margin-left: 8.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-2 {
+      flex: none;
+      width: 16.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-2 {
+      margin-left: 16.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-3 {
+      flex: none;
+      width: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-3 {
+      margin-left: 25%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-4 {
+      flex: none;
+      width: 33.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-4 {
+      margin-left: 33.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-5 {
+      flex: none;
+      width: 41.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-5 {
+      margin-left: 41.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-6 {
+      flex: none;
+      width: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-6 {
+      margin-left: 50%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-7 {
+      flex: none;
+      width: 58.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-7 {
+      margin-left: 58.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-8 {
+      flex: none;
+      width: 66.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-8 {
+      margin-left: 66.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-9 {
+      flex: none;
+      width: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-9 {
+      margin-left: 75%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-10 {
+      flex: none;
+      width: 83.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-10 {
+      margin-left: 83.3333333333%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-11 {
+      flex: none;
+      width: 91.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-11 {
+      margin-left: 91.6666666667%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-12 {
+      flex: none;
+      width: 100%; }
+    .columns.is-mobile > html.theme--documenter-dark .column.is-offset-12 {
+      margin-left: 100%; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .column.is-narrow-mobile {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-mobile {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-mobile {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-mobile {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-mobile {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-mobile {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-mobile {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-mobile {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-mobile {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-mobile {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-mobile {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-mobile {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-mobile {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-mobile {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-mobile {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-mobile {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-mobile {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-mobile {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-mobile {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-mobile {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-mobile {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-mobile {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-mobile {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-mobile {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-mobile {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-mobile {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-mobile {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-mobile {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-mobile {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-mobile {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-mobile {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-mobile {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-mobile {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-mobile {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-mobile {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-mobile {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-mobile {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-mobile {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-mobile {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-mobile {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-mobile {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-mobile {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-mobile {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-mobile {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-mobile {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-mobile {
+        margin-left: 100%; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .column.is-narrow, html.theme--documenter-dark .column.is-narrow-tablet {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full, html.theme--documenter-dark .column.is-full-tablet {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters, html.theme--documenter-dark .column.is-three-quarters-tablet {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds, html.theme--documenter-dark .column.is-two-thirds-tablet {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half, html.theme--documenter-dark .column.is-half-tablet {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third, html.theme--documenter-dark .column.is-one-third-tablet {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter, html.theme--documenter-dark .column.is-one-quarter-tablet {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth, html.theme--documenter-dark .column.is-one-fifth-tablet {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths, html.theme--documenter-dark .column.is-two-fifths-tablet {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths, html.theme--documenter-dark .column.is-three-fifths-tablet {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths, html.theme--documenter-dark .column.is-four-fifths-tablet {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters, html.theme--documenter-dark .column.is-offset-three-quarters-tablet {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds, html.theme--documenter-dark .column.is-offset-two-thirds-tablet {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half, html.theme--documenter-dark .column.is-offset-half-tablet {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third, html.theme--documenter-dark .column.is-offset-one-third-tablet {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter, html.theme--documenter-dark .column.is-offset-one-quarter-tablet {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth, html.theme--documenter-dark .column.is-offset-one-fifth-tablet {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths, html.theme--documenter-dark .column.is-offset-two-fifths-tablet {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths, html.theme--documenter-dark .column.is-offset-three-fifths-tablet {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths, html.theme--documenter-dark .column.is-offset-four-fifths-tablet {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0, html.theme--documenter-dark .column.is-0-tablet {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0, html.theme--documenter-dark .column.is-offset-0-tablet {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1, html.theme--documenter-dark .column.is-1-tablet {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1, html.theme--documenter-dark .column.is-offset-1-tablet {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2, html.theme--documenter-dark .column.is-2-tablet {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2, html.theme--documenter-dark .column.is-offset-2-tablet {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3, html.theme--documenter-dark .column.is-3-tablet {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3, html.theme--documenter-dark .column.is-offset-3-tablet {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4, html.theme--documenter-dark .column.is-4-tablet {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4, html.theme--documenter-dark .column.is-offset-4-tablet {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5, html.theme--documenter-dark .column.is-5-tablet {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5, html.theme--documenter-dark .column.is-offset-5-tablet {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6, html.theme--documenter-dark .column.is-6-tablet {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6, html.theme--documenter-dark .column.is-offset-6-tablet {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7, html.theme--documenter-dark .column.is-7-tablet {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7, html.theme--documenter-dark .column.is-offset-7-tablet {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8, html.theme--documenter-dark .column.is-8-tablet {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8, html.theme--documenter-dark .column.is-offset-8-tablet {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9, html.theme--documenter-dark .column.is-9-tablet {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9, html.theme--documenter-dark .column.is-offset-9-tablet {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10, html.theme--documenter-dark .column.is-10-tablet {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10, html.theme--documenter-dark .column.is-offset-10-tablet {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11, html.theme--documenter-dark .column.is-11-tablet {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11, html.theme--documenter-dark .column.is-offset-11-tablet {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12, html.theme--documenter-dark .column.is-12-tablet {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12, html.theme--documenter-dark .column.is-offset-12-tablet {
+        margin-left: 100%; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .column.is-narrow-touch {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-touch {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-touch {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-touch {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-touch {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-touch {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-touch {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-touch {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-touch {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-touch {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-touch {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-touch {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-touch {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-touch {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-touch {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-touch {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-touch {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-touch {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-touch {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-touch {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-touch {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-touch {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-touch {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-touch {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-touch {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-touch {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-touch {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-touch {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-touch {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-touch {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-touch {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-touch {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-touch {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-touch {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-touch {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-touch {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-touch {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-touch {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-touch {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-touch {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-touch {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-touch {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-touch {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-touch {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-touch {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-touch {
+        margin-left: 100%; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .column.is-narrow-desktop {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-desktop {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-desktop {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-desktop {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-desktop {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-desktop {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-desktop {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-desktop {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-desktop {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-desktop {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-desktop {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-desktop {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-desktop {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-desktop {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-desktop {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-desktop {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-desktop {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-desktop {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-desktop {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-desktop {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-desktop {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-desktop {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-desktop {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-desktop {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-desktop {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-desktop {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-desktop {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-desktop {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-desktop {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-desktop {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-desktop {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-desktop {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-desktop {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-desktop {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-desktop {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-desktop {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-desktop {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-desktop {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-desktop {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-desktop {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-desktop {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-desktop {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-desktop {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-desktop {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-desktop {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-desktop {
+        margin-left: 100%; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .column.is-narrow-widescreen {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-widescreen {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-widescreen {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-widescreen {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-widescreen {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-widescreen {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-widescreen {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-widescreen {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-widescreen {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-widescreen {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-widescreen {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-widescreen {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-widescreen {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-widescreen {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-widescreen {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-widescreen {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-widescreen {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-widescreen {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-widescreen {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-widescreen {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-widescreen {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-widescreen {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-widescreen {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-widescreen {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-widescreen {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-widescreen {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-widescreen {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-widescreen {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-widescreen {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-widescreen {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-widescreen {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-widescreen {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-widescreen {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-widescreen {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-widescreen {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-widescreen {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-widescreen {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-widescreen {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-widescreen {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-widescreen {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-widescreen {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-widescreen {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-widescreen {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-widescreen {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-widescreen {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-widescreen {
+        margin-left: 100%; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .column.is-narrow-fullhd {
+        flex: none; }
+      html.theme--documenter-dark .column.is-full-fullhd {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-three-quarters-fullhd {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-two-thirds-fullhd {
+        flex: none;
+        width: 66.6666%; }
+      html.theme--documenter-dark .column.is-half-fullhd {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-one-third-fullhd {
+        flex: none;
+        width: 33.3333%; }
+      html.theme--documenter-dark .column.is-one-quarter-fullhd {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-one-fifth-fullhd {
+        flex: none;
+        width: 20%; }
+      html.theme--documenter-dark .column.is-two-fifths-fullhd {
+        flex: none;
+        width: 40%; }
+      html.theme--documenter-dark .column.is-three-fifths-fullhd {
+        flex: none;
+        width: 60%; }
+      html.theme--documenter-dark .column.is-four-fifths-fullhd {
+        flex: none;
+        width: 80%; }
+      html.theme--documenter-dark .column.is-offset-three-quarters-fullhd {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-offset-two-thirds-fullhd {
+        margin-left: 66.6666%; }
+      html.theme--documenter-dark .column.is-offset-half-fullhd {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-offset-one-third-fullhd {
+        margin-left: 33.3333%; }
+      html.theme--documenter-dark .column.is-offset-one-quarter-fullhd {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-offset-one-fifth-fullhd {
+        margin-left: 20%; }
+      html.theme--documenter-dark .column.is-offset-two-fifths-fullhd {
+        margin-left: 40%; }
+      html.theme--documenter-dark .column.is-offset-three-fifths-fullhd {
+        margin-left: 60%; }
+      html.theme--documenter-dark .column.is-offset-four-fifths-fullhd {
+        margin-left: 80%; }
+      html.theme--documenter-dark .column.is-0-fullhd {
+        flex: none;
+        width: 0%; }
+      html.theme--documenter-dark .column.is-offset-0-fullhd {
+        margin-left: 0%; }
+      html.theme--documenter-dark .column.is-1-fullhd {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-1-fullhd {
+        margin-left: 8.3333333333%; }
+      html.theme--documenter-dark .column.is-2-fullhd {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-2-fullhd {
+        margin-left: 16.6666666667%; }
+      html.theme--documenter-dark .column.is-3-fullhd {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .column.is-offset-3-fullhd {
+        margin-left: 25%; }
+      html.theme--documenter-dark .column.is-4-fullhd {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-4-fullhd {
+        margin-left: 33.3333333333%; }
+      html.theme--documenter-dark .column.is-5-fullhd {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-5-fullhd {
+        margin-left: 41.6666666667%; }
+      html.theme--documenter-dark .column.is-6-fullhd {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .column.is-offset-6-fullhd {
+        margin-left: 50%; }
+      html.theme--documenter-dark .column.is-7-fullhd {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-7-fullhd {
+        margin-left: 58.3333333333%; }
+      html.theme--documenter-dark .column.is-8-fullhd {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-8-fullhd {
+        margin-left: 66.6666666667%; }
+      html.theme--documenter-dark .column.is-9-fullhd {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .column.is-offset-9-fullhd {
+        margin-left: 75%; }
+      html.theme--documenter-dark .column.is-10-fullhd {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-offset-10-fullhd {
+        margin-left: 83.3333333333%; }
+      html.theme--documenter-dark .column.is-11-fullhd {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-offset-11-fullhd {
+        margin-left: 91.6666666667%; }
+      html.theme--documenter-dark .column.is-12-fullhd {
+        flex: none;
+        width: 100%; }
+      html.theme--documenter-dark .column.is-offset-12-fullhd {
+        margin-left: 100%; } }
+  html.theme--documenter-dark .columns {
+    margin-left: -0.75rem;
+    margin-right: -0.75rem;
+    margin-top: -0.75rem; }
+    html.theme--documenter-dark .columns:last-child {
+      margin-bottom: -0.75rem; }
+    html.theme--documenter-dark .columns:not(:last-child) {
+      margin-bottom: calc(1.5rem - 0.75rem); }
+    html.theme--documenter-dark .columns.is-centered {
+      justify-content: center; }
+    html.theme--documenter-dark .columns.is-gapless {
+      margin-left: 0;
+      margin-right: 0;
+      margin-top: 0; }
+      html.theme--documenter-dark .columns.is-gapless > .column {
+        margin: 0;
+        padding: 0 !important; }
+      html.theme--documenter-dark .columns.is-gapless:not(:last-child) {
+        margin-bottom: 1.5rem; }
+      html.theme--documenter-dark .columns.is-gapless:last-child {
+        margin-bottom: 0; }
+    html.theme--documenter-dark .columns.is-mobile {
+      display: flex; }
+    html.theme--documenter-dark .columns.is-multiline {
+      flex-wrap: wrap; }
+    html.theme--documenter-dark .columns.is-vcentered {
+      align-items: center; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns:not(.is-desktop) {
+        display: flex; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-desktop {
+        display: flex; } }
+  html.theme--documenter-dark .columns.is-variable {
+    --columnGap: 0.75rem;
+    margin-left: calc(-1 * var(--columnGap));
+    margin-right: calc(-1 * var(--columnGap)); }
+    html.theme--documenter-dark .columns.is-variable .column {
+      padding-left: var(--columnGap);
+      padding-right: var(--columnGap); }
+    html.theme--documenter-dark .columns.is-variable.is-0 {
+      --columnGap: 0rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-mobile {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-0-tablet {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-tablet-only {
+        --columnGap: 0rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-touch {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-desktop {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-desktop-only {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-widescreen {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-widescreen-only {
+        --columnGap: 0rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-0-fullhd {
+        --columnGap: 0rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-1 {
+      --columnGap: 0.25rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-mobile {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-1-tablet {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-tablet-only {
+        --columnGap: 0.25rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-touch {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-desktop {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-desktop-only {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-widescreen {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-widescreen-only {
+        --columnGap: 0.25rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-1-fullhd {
+        --columnGap: 0.25rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-2 {
+      --columnGap: 0.5rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-mobile {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-2-tablet {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-tablet-only {
+        --columnGap: 0.5rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-touch {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-desktop {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-desktop-only {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-widescreen {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-widescreen-only {
+        --columnGap: 0.5rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-2-fullhd {
+        --columnGap: 0.5rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-3 {
+      --columnGap: 0.75rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-mobile {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-3-tablet {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-tablet-only {
+        --columnGap: 0.75rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-touch {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-desktop {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-desktop-only {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-widescreen {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-widescreen-only {
+        --columnGap: 0.75rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-3-fullhd {
+        --columnGap: 0.75rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-4 {
+      --columnGap: 1rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-mobile {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-4-tablet {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-tablet-only {
+        --columnGap: 1rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-touch {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-desktop {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-desktop-only {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-widescreen {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-widescreen-only {
+        --columnGap: 1rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-4-fullhd {
+        --columnGap: 1rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-5 {
+      --columnGap: 1.25rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-mobile {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-5-tablet {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-tablet-only {
+        --columnGap: 1.25rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-touch {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-desktop {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-desktop-only {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-widescreen {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-widescreen-only {
+        --columnGap: 1.25rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-5-fullhd {
+        --columnGap: 1.25rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-6 {
+      --columnGap: 1.5rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-mobile {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-6-tablet {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-tablet-only {
+        --columnGap: 1.5rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-touch {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-desktop {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-desktop-only {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-widescreen {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-widescreen-only {
+        --columnGap: 1.5rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-6-fullhd {
+        --columnGap: 1.5rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-7 {
+      --columnGap: 1.75rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-mobile {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-7-tablet {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-tablet-only {
+        --columnGap: 1.75rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-touch {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-desktop {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-desktop-only {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-widescreen {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-widescreen-only {
+        --columnGap: 1.75rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-7-fullhd {
+        --columnGap: 1.75rem; } }
+    html.theme--documenter-dark .columns.is-variable.is-8 {
+      --columnGap: 2rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-mobile {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .columns.is-variable.is-8-tablet {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 769px) and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-tablet-only {
+        --columnGap: 2rem; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-touch {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-desktop {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1056px) and (max-width: 1215px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-desktop-only {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1216px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-widescreen {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1216px) and (max-width: 1407px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-widescreen-only {
+        --columnGap: 2rem; } }
+    @media screen and (min-width: 1408px) {
+      html.theme--documenter-dark .columns.is-variable.is-8-fullhd {
+        --columnGap: 2rem; } }
+  html.theme--documenter-dark .tile {
+    align-items: stretch;
+    display: block;
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 1;
+    min-height: min-content; }
+    html.theme--documenter-dark .tile.is-ancestor {
+      margin-left: -0.75rem;
+      margin-right: -0.75rem;
+      margin-top: -0.75rem; }
+      html.theme--documenter-dark .tile.is-ancestor:last-child {
+        margin-bottom: -0.75rem; }
+      html.theme--documenter-dark .tile.is-ancestor:not(:last-child) {
+        margin-bottom: 0.75rem; }
+    html.theme--documenter-dark .tile.is-child {
+      margin: 0 !important; }
+    html.theme--documenter-dark .tile.is-parent {
+      padding: 0.75rem; }
+    html.theme--documenter-dark .tile.is-vertical {
+      flex-direction: column; }
+      html.theme--documenter-dark .tile.is-vertical > .tile.is-child:not(:last-child) {
+        margin-bottom: 1.5rem !important; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .tile:not(.is-child) {
+        display: flex; }
+      html.theme--documenter-dark .tile.is-1 {
+        flex: none;
+        width: 8.3333333333%; }
+      html.theme--documenter-dark .tile.is-2 {
+        flex: none;
+        width: 16.6666666667%; }
+      html.theme--documenter-dark .tile.is-3 {
+        flex: none;
+        width: 25%; }
+      html.theme--documenter-dark .tile.is-4 {
+        flex: none;
+        width: 33.3333333333%; }
+      html.theme--documenter-dark .tile.is-5 {
+        flex: none;
+        width: 41.6666666667%; }
+      html.theme--documenter-dark .tile.is-6 {
+        flex: none;
+        width: 50%; }
+      html.theme--documenter-dark .tile.is-7 {
+        flex: none;
+        width: 58.3333333333%; }
+      html.theme--documenter-dark .tile.is-8 {
+        flex: none;
+        width: 66.6666666667%; }
+      html.theme--documenter-dark .tile.is-9 {
+        flex: none;
+        width: 75%; }
+      html.theme--documenter-dark .tile.is-10 {
+        flex: none;
+        width: 83.3333333333%; }
+      html.theme--documenter-dark .tile.is-11 {
+        flex: none;
+        width: 91.6666666667%; }
+      html.theme--documenter-dark .tile.is-12 {
+        flex: none;
+        width: 100%; } }
+  html.theme--documenter-dark .hero {
+    align-items: stretch;
+    display: flex;
+    flex-direction: column;
+    justify-content: space-between; }
+    html.theme--documenter-dark .hero .navbar {
+      background: none; }
+    html.theme--documenter-dark .hero .tabs ul {
+      border-bottom: none; }
+    html.theme--documenter-dark .hero.is-white {
+      background-color: white;
+      color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-white a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-white strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-white .title {
+        color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-white .subtitle {
+        color: rgba(10, 10, 10, 0.9); }
+        html.theme--documenter-dark .hero.is-white .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-white .subtitle strong {
+          color: #0a0a0a; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-white .navbar-menu {
+          background-color: white; } }
+      html.theme--documenter-dark .hero.is-white .navbar-item,
+      html.theme--documenter-dark .hero.is-white .navbar-link {
+        color: rgba(10, 10, 10, 0.7); }
+      html.theme--documenter-dark .hero.is-white a.navbar-item:hover, html.theme--documenter-dark .hero.is-white a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-white .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-white .navbar-link.is-active {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-white .tabs a {
+        color: #0a0a0a;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-white .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-white .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-white .tabs.is-boxed a, html.theme--documenter-dark .hero.is-white .tabs.is-toggle a {
+        color: #0a0a0a; }
+        html.theme--documenter-dark .hero.is-white .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-white .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-white .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-white .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-white .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-white .tabs.is-toggle li.is-active a:hover {
+        background-color: #0a0a0a;
+        border-color: #0a0a0a;
+        color: white; }
+      html.theme--documenter-dark .hero.is-white.is-bold {
+        background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-white.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); } }
+    html.theme--documenter-dark .hero.is-black {
+      background-color: #0a0a0a;
+      color: white; }
+      html.theme--documenter-dark .hero.is-black a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-black strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-black .title {
+        color: white; }
+      html.theme--documenter-dark .hero.is-black .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-black .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-black .subtitle strong {
+          color: white; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-black .navbar-menu {
+          background-color: #0a0a0a; } }
+      html.theme--documenter-dark .hero.is-black .navbar-item,
+      html.theme--documenter-dark .hero.is-black .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-black a.navbar-item:hover, html.theme--documenter-dark .hero.is-black a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-black .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-black .navbar-link.is-active {
+        background-color: black;
+        color: white; }
+      html.theme--documenter-dark .hero.is-black .tabs a {
+        color: white;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-black .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-black .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-black .tabs.is-boxed a, html.theme--documenter-dark .hero.is-black .tabs.is-toggle a {
+        color: white; }
+        html.theme--documenter-dark .hero.is-black .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-black .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-black .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-black .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-black .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-black .tabs.is-toggle li.is-active a:hover {
+        background-color: white;
+        border-color: white;
+        color: #0a0a0a; }
+      html.theme--documenter-dark .hero.is-black.is-bold {
+        background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-black.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } }
+    html.theme--documenter-dark .hero.is-light {
+      background-color: #ecf0f1;
+      color: #282f2f; }
+      html.theme--documenter-dark .hero.is-light a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-light strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-light .title {
+        color: #282f2f; }
+      html.theme--documenter-dark .hero.is-light .subtitle {
+        color: rgba(40, 47, 47, 0.9); }
+        html.theme--documenter-dark .hero.is-light .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-light .subtitle strong {
+          color: #282f2f; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-light .navbar-menu {
+          background-color: #ecf0f1; } }
+      html.theme--documenter-dark .hero.is-light .navbar-item,
+      html.theme--documenter-dark .hero.is-light .navbar-link {
+        color: rgba(40, 47, 47, 0.7); }
+      html.theme--documenter-dark .hero.is-light a.navbar-item:hover, html.theme--documenter-dark .hero.is-light a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-light .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-light .navbar-link.is-active {
+        background-color: #dde4e6;
+        color: #282f2f; }
+      html.theme--documenter-dark .hero.is-light .tabs a {
+        color: #282f2f;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-light .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-light .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-light .tabs.is-boxed a, html.theme--documenter-dark .hero.is-light .tabs.is-toggle a {
+        color: #282f2f; }
+        html.theme--documenter-dark .hero.is-light .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-light .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-light .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-light .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-light .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-light .tabs.is-toggle li.is-active a:hover {
+        background-color: #282f2f;
+        border-color: #282f2f;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-light.is-bold {
+        background-image: linear-gradient(141deg, #cadfe0 0%, #ecf0f1 71%, #fafbfc 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-light.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #cadfe0 0%, #ecf0f1 71%, #fafbfc 100%); } }
+    html.theme--documenter-dark .hero.is-dark, html.theme--documenter-dark .content kbd.hero {
+      background-color: #282f2f;
+      color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-dark a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), html.theme--documenter-dark .content kbd.hero a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-dark strong,
+      html.theme--documenter-dark .content kbd.hero strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-dark .title, html.theme--documenter-dark .content kbd.hero .title {
+        color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-dark .subtitle, html.theme--documenter-dark .content kbd.hero .subtitle {
+        color: rgba(236, 240, 241, 0.9); }
+        html.theme--documenter-dark .hero.is-dark .subtitle a:not(.button), html.theme--documenter-dark .content kbd.hero .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-dark .subtitle strong,
+        html.theme--documenter-dark .content kbd.hero .subtitle strong {
+          color: #ecf0f1; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-dark .navbar-menu, html.theme--documenter-dark .content kbd.hero .navbar-menu {
+          background-color: #282f2f; } }
+      html.theme--documenter-dark .hero.is-dark .navbar-item, html.theme--documenter-dark .content kbd.hero .navbar-item,
+      html.theme--documenter-dark .hero.is-dark .navbar-link,
+      html.theme--documenter-dark .content kbd.hero .navbar-link {
+        color: rgba(236, 240, 241, 0.7); }
+      html.theme--documenter-dark .hero.is-dark a.navbar-item:hover, html.theme--documenter-dark .content kbd.hero a.navbar-item:hover, html.theme--documenter-dark .hero.is-dark a.navbar-item.is-active, html.theme--documenter-dark .content kbd.hero a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-dark .navbar-link:hover,
+      html.theme--documenter-dark .content kbd.hero .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-dark .navbar-link.is-active,
+      html.theme--documenter-dark .content kbd.hero .navbar-link.is-active {
+        background-color: #1d2122;
+        color: #ecf0f1; }
+      html.theme--documenter-dark .hero.is-dark .tabs a, html.theme--documenter-dark .content kbd.hero .tabs a {
+        color: #ecf0f1;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-dark .tabs a:hover, html.theme--documenter-dark .content kbd.hero .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-dark .tabs li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-dark .tabs.is-boxed a, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed a, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle a, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle a {
+        color: #ecf0f1; }
+        html.theme--documenter-dark .hero.is-dark .tabs.is-boxed a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-dark .tabs.is-boxed li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-dark .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle li.is-active a:hover {
+        background-color: #ecf0f1;
+        border-color: #ecf0f1;
+        color: #282f2f; }
+      html.theme--documenter-dark .hero.is-dark.is-bold, html.theme--documenter-dark .content kbd.hero.is-bold {
+        background-image: linear-gradient(141deg, #0f1615 0%, #282f2f 71%, #313c40 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-dark.is-bold .navbar-menu, html.theme--documenter-dark .content kbd.hero.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #0f1615 0%, #282f2f 71%, #313c40 100%); } }
+    html.theme--documenter-dark .hero.is-primary, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink {
+      background-color: #375a7f;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-primary a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-primary strong,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-primary .title, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-primary .subtitle, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-primary .subtitle a:not(.button), html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-primary .subtitle strong,
+        html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-primary .navbar-menu, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-menu {
+          background-color: #375a7f; } }
+      html.theme--documenter-dark .hero.is-primary .navbar-item, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-item,
+      html.theme--documenter-dark .hero.is-primary .navbar-link,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-primary a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a.navbar-item:hover, html.theme--documenter-dark .hero.is-primary a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-primary .navbar-link:hover,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-primary .navbar-link.is-active,
+      html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link.is-active {
+        background-color: #2f4d6d;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-primary .tabs a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-primary .tabs a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-primary .tabs li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-primary .tabs.is-boxed a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-primary .tabs.is-boxed a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-primary .tabs.is-boxed li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-primary .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #375a7f; }
+      html.theme--documenter-dark .hero.is-primary.is-bold, html.theme--documenter-dark .docstring > section > a.hero.is-bold.docs-sourcelink {
+        background-image: linear-gradient(141deg, #214b62 0%, #375a7f 71%, #3a5796 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-primary.is-bold .navbar-menu, html.theme--documenter-dark .docstring > section > a.hero.is-bold.docs-sourcelink .navbar-menu {
+            background-image: linear-gradient(141deg, #214b62 0%, #375a7f 71%, #3a5796 100%); } }
+    html.theme--documenter-dark .hero.is-link {
+      background-color: #1abc9c;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-link a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-link strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-link .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-link .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-link .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-link .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-link .navbar-menu {
+          background-color: #1abc9c; } }
+      html.theme--documenter-dark .hero.is-link .navbar-item,
+      html.theme--documenter-dark .hero.is-link .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-link a.navbar-item:hover, html.theme--documenter-dark .hero.is-link a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-link .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-link .navbar-link.is-active {
+        background-color: #17a689;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-link .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-link .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-link .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-link .tabs.is-boxed a, html.theme--documenter-dark .hero.is-link .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-link .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-link .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-link .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-link .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-link .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-link .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #1abc9c; }
+      html.theme--documenter-dark .hero.is-link.is-bold {
+        background-image: linear-gradient(141deg, #0c9764 0%, #1abc9c 71%, #17d8d2 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-link.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #0c9764 0%, #1abc9c 71%, #17d8d2 100%); } }
+    html.theme--documenter-dark .hero.is-info {
+      background-color: #024c7d;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-info a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-info strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-info .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-info .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-info .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-info .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-info .navbar-menu {
+          background-color: #024c7d; } }
+      html.theme--documenter-dark .hero.is-info .navbar-item,
+      html.theme--documenter-dark .hero.is-info .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-info a.navbar-item:hover, html.theme--documenter-dark .hero.is-info a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-info .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-info .navbar-link.is-active {
+        background-color: #023d64;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-info .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-info .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-info .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-info .tabs.is-boxed a, html.theme--documenter-dark .hero.is-info .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-info .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-info .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-info .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-info .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-info .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-info .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #024c7d; }
+      html.theme--documenter-dark .hero.is-info.is-bold {
+        background-image: linear-gradient(141deg, #003a4c 0%, #024c7d 71%, #004299 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-info.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #003a4c 0%, #024c7d 71%, #004299 100%); } }
+    html.theme--documenter-dark .hero.is-success {
+      background-color: #008438;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-success a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-success strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-success .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-success .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-success .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-success .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-success .navbar-menu {
+          background-color: #008438; } }
+      html.theme--documenter-dark .hero.is-success .navbar-item,
+      html.theme--documenter-dark .hero.is-success .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-success a.navbar-item:hover, html.theme--documenter-dark .hero.is-success a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-success .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-success .navbar-link.is-active {
+        background-color: #006b2d;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-success .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-success .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-success .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-success .tabs.is-boxed a, html.theme--documenter-dark .hero.is-success .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-success .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-success .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-success .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-success .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-success .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-success .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #008438; }
+      html.theme--documenter-dark .hero.is-success.is-bold {
+        background-image: linear-gradient(141deg, #005115 0%, #008438 71%, #009e5d 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-success.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #005115 0%, #008438 71%, #009e5d 100%); } }
+    html.theme--documenter-dark .hero.is-warning {
+      background-color: #ad8100;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-warning a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-warning strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-warning .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-warning .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-warning .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-warning .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-warning .navbar-menu {
+          background-color: #ad8100; } }
+      html.theme--documenter-dark .hero.is-warning .navbar-item,
+      html.theme--documenter-dark .hero.is-warning .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-warning a.navbar-item:hover, html.theme--documenter-dark .hero.is-warning a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-warning .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-warning .navbar-link.is-active {
+        background-color: #946e00;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-warning .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-warning .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-warning .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-warning .tabs.is-boxed a, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-warning .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-warning .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-warning .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #ad8100; }
+      html.theme--documenter-dark .hero.is-warning.is-bold {
+        background-image: linear-gradient(141deg, #7a4700 0%, #ad8100 71%, #c7b500 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-warning.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #7a4700 0%, #ad8100 71%, #c7b500 100%); } }
+    html.theme--documenter-dark .hero.is-danger {
+      background-color: #9e1b0d;
+      color: #fff; }
+      html.theme--documenter-dark .hero.is-danger a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+      html.theme--documenter-dark .hero.is-danger strong {
+        color: inherit; }
+      html.theme--documenter-dark .hero.is-danger .title {
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-danger .subtitle {
+        color: rgba(255, 255, 255, 0.9); }
+        html.theme--documenter-dark .hero.is-danger .subtitle a:not(.button),
+        html.theme--documenter-dark .hero.is-danger .subtitle strong {
+          color: #fff; }
+      @media screen and (max-width: 1055px) {
+        html.theme--documenter-dark .hero.is-danger .navbar-menu {
+          background-color: #9e1b0d; } }
+      html.theme--documenter-dark .hero.is-danger .navbar-item,
+      html.theme--documenter-dark .hero.is-danger .navbar-link {
+        color: rgba(255, 255, 255, 0.7); }
+      html.theme--documenter-dark .hero.is-danger a.navbar-item:hover, html.theme--documenter-dark .hero.is-danger a.navbar-item.is-active,
+      html.theme--documenter-dark .hero.is-danger .navbar-link:hover,
+      html.theme--documenter-dark .hero.is-danger .navbar-link.is-active {
+        background-color: #86170b;
+        color: #fff; }
+      html.theme--documenter-dark .hero.is-danger .tabs a {
+        color: #fff;
+        opacity: 0.9; }
+        html.theme--documenter-dark .hero.is-danger .tabs a:hover {
+          opacity: 1; }
+      html.theme--documenter-dark .hero.is-danger .tabs li.is-active a {
+        opacity: 1; }
+      html.theme--documenter-dark .hero.is-danger .tabs.is-boxed a, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle a {
+        color: #fff; }
+        html.theme--documenter-dark .hero.is-danger .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle a:hover {
+          background-color: rgba(10, 10, 10, 0.1); }
+      html.theme--documenter-dark .hero.is-danger .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-danger .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle li.is-active a:hover {
+        background-color: #fff;
+        border-color: #fff;
+        color: #9e1b0d; }
+      html.theme--documenter-dark .hero.is-danger.is-bold {
+        background-image: linear-gradient(141deg, #75030b 0%, #9e1b0d 71%, #ba380a 100%); }
+        @media screen and (max-width: 768px) {
+          html.theme--documenter-dark .hero.is-danger.is-bold .navbar-menu {
+            background-image: linear-gradient(141deg, #75030b 0%, #9e1b0d 71%, #ba380a 100%); } }
+    html.theme--documenter-dark .hero.is-small .hero-body, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.hero .hero-body {
+      padding-bottom: 1.5rem;
+      padding-top: 1.5rem; }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .hero.is-medium .hero-body {
+        padding-bottom: 9rem;
+        padding-top: 9rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .hero.is-large .hero-body {
+        padding-bottom: 18rem;
+        padding-top: 18rem; } }
+    html.theme--documenter-dark .hero.is-halfheight .hero-body, html.theme--documenter-dark .hero.is-fullheight .hero-body, html.theme--documenter-dark .hero.is-fullheight-with-navbar .hero-body {
+      align-items: center;
+      display: flex; }
+      html.theme--documenter-dark .hero.is-halfheight .hero-body > .container, html.theme--documenter-dark .hero.is-fullheight .hero-body > .container, html.theme--documenter-dark .hero.is-fullheight-with-navbar .hero-body > .container {
+        flex-grow: 1;
+        flex-shrink: 1; }
+    html.theme--documenter-dark .hero.is-halfheight {
+      min-height: 50vh; }
+    html.theme--documenter-dark .hero.is-fullheight {
+      min-height: 100vh; }
+  html.theme--documenter-dark .hero-video {
+    overflow: hidden; }
+    html.theme--documenter-dark .hero-video video {
+      left: 50%;
+      min-height: 100%;
+      min-width: 100%;
+      position: absolute;
+      top: 50%;
+      transform: translate3d(-50%, -50%, 0); }
+    html.theme--documenter-dark .hero-video.is-transparent {
+      opacity: 0.3; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .hero-video {
+        display: none; } }
+  html.theme--documenter-dark .hero-buttons {
+    margin-top: 1.5rem; }
+    @media screen and (max-width: 768px) {
+      html.theme--documenter-dark .hero-buttons .button {
+        display: flex; }
+        html.theme--documenter-dark .hero-buttons .button:not(:last-child) {
+          margin-bottom: 0.75rem; } }
+    @media screen and (min-width: 769px), print {
+      html.theme--documenter-dark .hero-buttons {
+        display: flex;
+        justify-content: center; }
+        html.theme--documenter-dark .hero-buttons .button:not(:last-child) {
+          margin-right: 1.5rem; } }
+  html.theme--documenter-dark .hero-head,
+  html.theme--documenter-dark .hero-foot {
+    flex-grow: 0;
+    flex-shrink: 0; }
+  html.theme--documenter-dark .hero-body {
+    flex-grow: 1;
+    flex-shrink: 0;
+    padding: 3rem 1.5rem; }
+  html.theme--documenter-dark .section {
+    padding: 3rem 1.5rem; }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark .section.is-medium {
+        padding: 9rem 1.5rem; }
+      html.theme--documenter-dark .section.is-large {
+        padding: 18rem 1.5rem; } }
+  html.theme--documenter-dark .footer {
+    background-color: #282f2f;
+    padding: 3rem 1.5rem 6rem; }
+  html.theme--documenter-dark hr {
+    height: 1px; }
+  html.theme--documenter-dark h6 {
+    text-transform: uppercase;
+    letter-spacing: 0.5px; }
+  html.theme--documenter-dark .hero {
+    background-color: #343c3d; }
+  html.theme--documenter-dark a {
+    transition: all 200ms ease; }
+  html.theme--documenter-dark .button {
+    transition: all 200ms ease;
+    border-width: 1px;
+    color: white; }
+    html.theme--documenter-dark .button.is-active, html.theme--documenter-dark .button.is-focused, html.theme--documenter-dark .button:active, html.theme--documenter-dark .button:focus {
+      box-shadow: 0 0 0 2px rgba(140, 155, 157, 0.5); }
+    html.theme--documenter-dark .button.is-white.is-hovered, html.theme--documenter-dark .button.is-white:hover {
+      background-color: white; }
+    html.theme--documenter-dark .button.is-white.is-active, html.theme--documenter-dark .button.is-white.is-focused, html.theme--documenter-dark .button.is-white:active, html.theme--documenter-dark .button.is-white:focus {
+      border-color: white;
+      box-shadow: 0 0 0 2px rgba(255, 255, 255, 0.5); }
+    html.theme--documenter-dark .button.is-black.is-hovered, html.theme--documenter-dark .button.is-black:hover {
+      background-color: #1d1d1d; }
+    html.theme--documenter-dark .button.is-black.is-active, html.theme--documenter-dark .button.is-black.is-focused, html.theme--documenter-dark .button.is-black:active, html.theme--documenter-dark .button.is-black:focus {
+      border-color: #0a0a0a;
+      box-shadow: 0 0 0 2px rgba(10, 10, 10, 0.5); }
+    html.theme--documenter-dark .button.is-light.is-hovered, html.theme--documenter-dark .button.is-light:hover {
+      background-color: white; }
+    html.theme--documenter-dark .button.is-light.is-active, html.theme--documenter-dark .button.is-light.is-focused, html.theme--documenter-dark .button.is-light:active, html.theme--documenter-dark .button.is-light:focus {
+      border-color: #ecf0f1;
+      box-shadow: 0 0 0 2px rgba(236, 240, 241, 0.5); }
+    html.theme--documenter-dark .button.is-dark.is-hovered, html.theme--documenter-dark .content kbd.button.is-hovered, html.theme--documenter-dark .button.is-dark:hover, html.theme--documenter-dark .content kbd.button:hover {
+      background-color: #3a4344; }
+    html.theme--documenter-dark .button.is-dark.is-active, html.theme--documenter-dark .content kbd.button.is-active, html.theme--documenter-dark .button.is-dark.is-focused, html.theme--documenter-dark .content kbd.button.is-focused, html.theme--documenter-dark .button.is-dark:active, html.theme--documenter-dark .content kbd.button:active, html.theme--documenter-dark .button.is-dark:focus, html.theme--documenter-dark .content kbd.button:focus {
+      border-color: #282f2f;
+      box-shadow: 0 0 0 2px rgba(40, 47, 47, 0.5); }
+    html.theme--documenter-dark .button.is-primary.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary:hover, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:hover {
+      background-color: #436d9a; }
+    html.theme--documenter-dark .button.is-primary.is-active, html.theme--documenter-dark .docstring > section > a.button.is-active.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink, html.theme--documenter-dark .button.is-primary:active, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:active, html.theme--documenter-dark .button.is-primary:focus, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus {
+      border-color: #375a7f;
+      box-shadow: 0 0 0 2px rgba(55, 90, 127, 0.5); }
+    html.theme--documenter-dark .button.is-link.is-hovered, html.theme--documenter-dark .button.is-link:hover {
+      background-color: #1fdeb8; }
+    html.theme--documenter-dark .button.is-link.is-active, html.theme--documenter-dark .button.is-link.is-focused, html.theme--documenter-dark .button.is-link:active, html.theme--documenter-dark .button.is-link:focus {
+      border-color: #1abc9c;
+      box-shadow: 0 0 0 2px rgba(26, 188, 156, 0.5); }
+    html.theme--documenter-dark .button.is-info.is-hovered, html.theme--documenter-dark .button.is-info:hover {
+      background-color: #0363a3; }
+    html.theme--documenter-dark .button.is-info.is-active, html.theme--documenter-dark .button.is-info.is-focused, html.theme--documenter-dark .button.is-info:active, html.theme--documenter-dark .button.is-info:focus {
+      border-color: #024c7d;
+      box-shadow: 0 0 0 2px rgba(2, 76, 125, 0.5); }
+    html.theme--documenter-dark .button.is-success.is-hovered, html.theme--documenter-dark .button.is-success:hover {
+      background-color: #00aa48; }
+    html.theme--documenter-dark .button.is-success.is-active, html.theme--documenter-dark .button.is-success.is-focused, html.theme--documenter-dark .button.is-success:active, html.theme--documenter-dark .button.is-success:focus {
+      border-color: #008438;
+      box-shadow: 0 0 0 2px rgba(0, 132, 56, 0.5); }
+    html.theme--documenter-dark .button.is-warning.is-hovered, html.theme--documenter-dark .button.is-warning:hover {
+      background-color: #d39e00; }
+    html.theme--documenter-dark .button.is-warning.is-active, html.theme--documenter-dark .button.is-warning.is-focused, html.theme--documenter-dark .button.is-warning:active, html.theme--documenter-dark .button.is-warning:focus {
+      border-color: #ad8100;
+      box-shadow: 0 0 0 2px rgba(173, 129, 0, 0.5); }
+    html.theme--documenter-dark .button.is-danger.is-hovered, html.theme--documenter-dark .button.is-danger:hover {
+      background-color: #c12110; }
+    html.theme--documenter-dark .button.is-danger.is-active, html.theme--documenter-dark .button.is-danger.is-focused, html.theme--documenter-dark .button.is-danger:active, html.theme--documenter-dark .button.is-danger:focus {
+      border-color: #9e1b0d;
+      box-shadow: 0 0 0 2px rgba(158, 27, 13, 0.5); }
+  html.theme--documenter-dark .label {
+    color: #dbdee0; }
+  html.theme--documenter-dark .button,
+  html.theme--documenter-dark .control.has-icons-left .icon,
+  html.theme--documenter-dark .control.has-icons-right .icon,
+  html.theme--documenter-dark .input,
+  html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input,
+  html.theme--documenter-dark .pagination-ellipsis,
+  html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-previous,
+  html.theme--documenter-dark .select,
+  html.theme--documenter-dark .select select,
+  html.theme--documenter-dark .textarea {
+    height: 2.5em; }
+  html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input,
+  html.theme--documenter-dark .textarea {
+    transition: all 200ms ease;
+    box-shadow: none;
+    border-width: 1px;
+    padding-left: 1em;
+    padding-right: 1em; }
+  html.theme--documenter-dark .select:after,
+  html.theme--documenter-dark .select select {
+    border-width: 1px; }
+  html.theme--documenter-dark .control.has-addons .button,
+  html.theme--documenter-dark .control.has-addons .input,
+  html.theme--documenter-dark .control.has-addons #documenter .docs-sidebar form.docs-search > input,
+  html.theme--documenter-dark #documenter .docs-sidebar .control.has-addons form.docs-search > input,
+  html.theme--documenter-dark .control.has-addons .select {
+    margin-right: -1px; }
+  html.theme--documenter-dark .notification {
+    background-color: #343c3d; }
+  html.theme--documenter-dark .card {
+    box-shadow: none;
+    border: 1px solid #343c3d;
+    background-color: #282f2f;
+    border-radius: 0.4em; }
+    html.theme--documenter-dark .card .card-image img {
+      border-radius: 0.4em 0.4em 0 0; }
+    html.theme--documenter-dark .card .card-header {
+      box-shadow: none;
+      background-color: rgba(18, 18, 18, 0.2);
+      border-radius: 0.4em 0.4em 0 0; }
+    html.theme--documenter-dark .card .card-footer {
+      background-color: rgba(18, 18, 18, 0.2); }
+    html.theme--documenter-dark .card .card-footer,
+    html.theme--documenter-dark .card .card-footer-item {
+      border-width: 1px;
+      border-color: #343c3d; }
+  html.theme--documenter-dark .notification.is-white a:not(.button) {
+    color: #0a0a0a;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-black a:not(.button) {
+    color: white;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-light a:not(.button) {
+    color: #282f2f;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-dark a:not(.button), html.theme--documenter-dark .content kbd.notification a:not(.button) {
+    color: #ecf0f1;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-primary a:not(.button), html.theme--documenter-dark .docstring > section > a.notification.docs-sourcelink a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-link a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-info a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-success a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-warning a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .notification.is-danger a:not(.button) {
+    color: #fff;
+    text-decoration: underline; }
+  html.theme--documenter-dark .tag, html.theme--documenter-dark .content kbd, html.theme--documenter-dark .docstring > section > a.docs-sourcelink {
+    border-radius: 0.4em; }
+  html.theme--documenter-dark .menu-list a {
+    transition: all 300ms ease; }
+  html.theme--documenter-dark .modal-card-body {
+    background-color: #282f2f; }
+  html.theme--documenter-dark .modal-card-foot,
+  html.theme--documenter-dark .modal-card-head {
+    border-color: #343c3d; }
+  html.theme--documenter-dark .message-header {
+    font-weight: 700;
+    background-color: #343c3d;
+    color: white; }
+  html.theme--documenter-dark .message-body {
+    border-width: 1px;
+    border-color: #343c3d; }
+  html.theme--documenter-dark .navbar {
+    border-radius: 0.4em; }
+    html.theme--documenter-dark .navbar.is-transparent {
+      background: none; }
+    html.theme--documenter-dark .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active {
+      background-color: #1abc9c; }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark .navbar .navbar-menu {
+        background-color: #375a7f;
+        border-radius: 0 0 0.4em 0.4em; } }
+  html.theme--documenter-dark .hero .navbar,
+  html.theme--documenter-dark body > .navbar {
+    border-radius: 0; }
+  html.theme--documenter-dark .pagination-link,
+  html.theme--documenter-dark .pagination-next,
+  html.theme--documenter-dark .pagination-previous {
+    border-width: 1px; }
+  html.theme--documenter-dark .panel-block,
+  html.theme--documenter-dark .panel-heading,
+  html.theme--documenter-dark .panel-tabs {
+    border-width: 1px; }
+    html.theme--documenter-dark .panel-block:first-child,
+    html.theme--documenter-dark .panel-heading:first-child,
+    html.theme--documenter-dark .panel-tabs:first-child {
+      border-top-width: 1px; }
+  html.theme--documenter-dark .panel-heading {
+    font-weight: 700; }
+  html.theme--documenter-dark .panel-tabs a {
+    border-width: 1px;
+    margin-bottom: -1px; }
+    html.theme--documenter-dark .panel-tabs a.is-active {
+      border-bottom-color: #17a689; }
+  html.theme--documenter-dark .panel-block:hover {
+    color: #1dd2af; }
+    html.theme--documenter-dark .panel-block:hover .panel-icon {
+      color: #1dd2af; }
+  html.theme--documenter-dark .panel-block.is-active .panel-icon {
+    color: #17a689; }
+  html.theme--documenter-dark .tabs a {
+    border-bottom-width: 1px;
+    margin-bottom: -1px; }
+  html.theme--documenter-dark .tabs ul {
+    border-bottom-width: 1px; }
+  html.theme--documenter-dark .tabs.is-boxed a {
+    border-width: 1px; }
+  html.theme--documenter-dark .tabs.is-boxed li.is-active a {
+    background-color: #1f2424; }
+  html.theme--documenter-dark .tabs.is-toggle li a {
+    border-width: 1px;
+    margin-bottom: 0; }
+  html.theme--documenter-dark .tabs.is-toggle li + li {
+    margin-left: -1px; }
+  html.theme--documenter-dark .hero.is-white .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-black .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-light .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-dark .navbar .navbar-dropdown .navbar-item:hover, html.theme--documenter-dark .content kbd.hero .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-primary .navbar .navbar-dropdown .navbar-item:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-link .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-info .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-success .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-warning .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark .hero.is-danger .navbar .navbar-dropdown .navbar-item:hover {
+    background-color: transparent; }
+  html.theme--documenter-dark h1 .docs-heading-anchor, html.theme--documenter-dark h1 .docs-heading-anchor:hover, html.theme--documenter-dark h1 .docs-heading-anchor:visited, html.theme--documenter-dark h2 .docs-heading-anchor, html.theme--documenter-dark h2 .docs-heading-anchor:hover, html.theme--documenter-dark h2 .docs-heading-anchor:visited, html.theme--documenter-dark h3 .docs-heading-anchor, html.theme--documenter-dark h3 .docs-heading-anchor:hover, html.theme--documenter-dark h3 .docs-heading-anchor:visited, html.theme--documenter-dark h4 .docs-heading-anchor, html.theme--documenter-dark h4 .docs-heading-anchor:hover, html.theme--documenter-dark h4 .docs-heading-anchor:visited, html.theme--documenter-dark h5 .docs-heading-anchor, html.theme--documenter-dark h5 .docs-heading-anchor:hover, html.theme--documenter-dark h5 .docs-heading-anchor:visited, html.theme--documenter-dark h6 .docs-heading-anchor, html.theme--documenter-dark h6 .docs-heading-anchor:hover, html.theme--documenter-dark h6 .docs-heading-anchor:visited {
+    color: #f2f2f2; }
+  html.theme--documenter-dark h1 .docs-heading-anchor-permalink, html.theme--documenter-dark h2 .docs-heading-anchor-permalink, html.theme--documenter-dark h3 .docs-heading-anchor-permalink, html.theme--documenter-dark h4 .docs-heading-anchor-permalink, html.theme--documenter-dark h5 .docs-heading-anchor-permalink, html.theme--documenter-dark h6 .docs-heading-anchor-permalink {
+    visibility: hidden;
+    vertical-align: middle;
+    margin-left: 0.5em;
+    font-size: 0.7rem; }
+    html.theme--documenter-dark h1 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h2 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h3 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h4 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h5 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h6 .docs-heading-anchor-permalink::before {
+      font-family: "Font Awesome 5 Free";
+      font-weight: 900;
+      content: "\f0c1"; }
+  html.theme--documenter-dark h1:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h2:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h3:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h4:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h5:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h6:hover .docs-heading-anchor-permalink {
+    visibility: visible; }
+  html.theme--documenter-dark .docs-light-only {
+    display: none !important; }
+  html.theme--documenter-dark pre {
+    position: relative;
+    overflow: hidden; }
+    html.theme--documenter-dark pre code, html.theme--documenter-dark pre code.hljs {
+      padding: 0 0.75rem !important;
+      overflow: auto;
+      display: block; }
+    html.theme--documenter-dark pre code:first-of-type, html.theme--documenter-dark pre code.hljs:first-of-type {
+      padding-top: 0.5rem !important; }
+    html.theme--documenter-dark pre code:last-of-type, html.theme--documenter-dark pre code.hljs:last-of-type {
+      padding-bottom: 0.5rem !important; }
+    html.theme--documenter-dark pre .copy-button {
+      opacity: 0.2;
+      transition: opacity 0.2s;
+      position: absolute;
+      right: 0em;
+      top: 0em;
+      padding: 0.5em;
+      width: 2.5em;
+      height: 2.5em;
+      background: transparent;
+      border: none;
+      font-family: "Font Awesome 5 Free";
+      color: #fff;
+      cursor: pointer;
+      text-align: center; }
+      html.theme--documenter-dark pre .copy-button:focus, html.theme--documenter-dark pre .copy-button:hover {
+        opacity: 1;
+        background: rgba(255, 255, 255, 0.1);
+        color: #1abc9c; }
+      html.theme--documenter-dark pre .copy-button.success {
+        color: #259a12;
+        opacity: 1; }
+      html.theme--documenter-dark pre .copy-button.error {
+        color: #cb3c33;
+        opacity: 1; }
+    html.theme--documenter-dark pre:hover .copy-button {
+      opacity: 1; }
+  html.theme--documenter-dark .admonition {
+    background-color: #282f2f;
+    border-style: solid;
+    border-width: 1px;
+    border-color: #5e6d6f;
+    border-radius: 0.4em;
+    font-size: 15px; }
+    html.theme--documenter-dark .admonition strong {
+      color: currentColor; }
+    html.theme--documenter-dark .admonition.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.admonition {
+      font-size: 0.85em; }
+    html.theme--documenter-dark .admonition.is-medium {
+      font-size: 1.25rem; }
+    html.theme--documenter-dark .admonition.is-large {
+      font-size: 1.5rem; }
+    html.theme--documenter-dark .admonition.is-default {
+      background-color: #282f2f;
+      border-color: #5e6d6f; }
+      html.theme--documenter-dark .admonition.is-default > .admonition-header {
+        background-color: #5e6d6f; }
+    html.theme--documenter-dark .admonition.is-info {
+      background-color: #282f2f;
+      border-color: #024c7d; }
+      html.theme--documenter-dark .admonition.is-info > .admonition-header {
+        background-color: #024c7d; }
+    html.theme--documenter-dark .admonition.is-success {
+      background-color: #282f2f;
+      border-color: #008438; }
+      html.theme--documenter-dark .admonition.is-success > .admonition-header {
+        background-color: #008438; }
+    html.theme--documenter-dark .admonition.is-warning {
+      background-color: #282f2f;
+      border-color: #ad8100; }
+      html.theme--documenter-dark .admonition.is-warning > .admonition-header {
+        background-color: #ad8100; }
+    html.theme--documenter-dark .admonition.is-danger {
+      background-color: #282f2f;
+      border-color: #9e1b0d; }
+      html.theme--documenter-dark .admonition.is-danger > .admonition-header {
+        background-color: #9e1b0d; }
+    html.theme--documenter-dark .admonition.is-compat {
+      background-color: #282f2f;
+      border-color: #137886; }
+      html.theme--documenter-dark .admonition.is-compat > .admonition-header {
+        background-color: #137886; }
+  html.theme--documenter-dark .admonition-header {
+    background-color: #5e6d6f;
+    align-items: center;
+    font-weight: 700;
+    justify-content: space-between;
+    line-height: 1.25;
+    padding: 0.5rem 0.75rem;
+    position: relative; }
+    html.theme--documenter-dark .admonition-header:before {
+      font-family: "Font Awesome 5 Free";
+      font-weight: 900;
+      margin-right: 0.75rem;
+      content: "\f06a"; }
+  html.theme--documenter-dark .admonition-body {
+    color: #fff;
+    padding: 0.5rem 0.75rem; }
+    html.theme--documenter-dark .admonition-body pre {
+      background-color: #282f2f; }
+    html.theme--documenter-dark .admonition-body code {
+      background-color: rgba(255, 255, 255, 0.05); }
+  html.theme--documenter-dark .docstring {
+    margin-bottom: 1em;
+    background-color: transparent;
+    border: 1px solid #5e6d6f;
+    box-shadow: none;
+    max-width: 100%; }
+    html.theme--documenter-dark .docstring > header {
+      display: flex;
+      flex-grow: 1;
+      align-items: stretch;
+      padding: 0.5rem 0.75rem;
+      background-color: #282f2f;
+      box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+      box-shadow: none;
+      border-bottom: 1px solid #5e6d6f; }
+      html.theme--documenter-dark .docstring > header code {
+        background-color: transparent; }
+      html.theme--documenter-dark .docstring > header .docstring-binding {
+        margin-right: 0.3em; }
+      html.theme--documenter-dark .docstring > header .docstring-category {
+        margin-left: 0.3em; }
+    html.theme--documenter-dark .docstring > section {
+      position: relative;
+      padding: 0.75rem 0.75rem;
+      border-bottom: 1px solid #5e6d6f; }
+      html.theme--documenter-dark .docstring > section:last-child {
+        border-bottom: none; }
+      html.theme--documenter-dark .docstring > section > a.docs-sourcelink {
+        transition: opacity 0.3s;
+        opacity: 0;
+        position: absolute;
+        right: 0.375rem;
+        bottom: 0.375rem; }
+        html.theme--documenter-dark .docstring > section > a.docs-sourcelink:focus {
+          opacity: 1 !important; }
+    html.theme--documenter-dark .docstring:hover > section > a.docs-sourcelink {
+      opacity: 0.2; }
+    html.theme--documenter-dark .docstring:focus-within > section > a.docs-sourcelink {
+      opacity: 0.2; }
+    html.theme--documenter-dark .docstring > section:hover a.docs-sourcelink {
+      opacity: 1; }
+  html.theme--documenter-dark .documenter-example-output {
+    background-color: #1f2424; }
+  html.theme--documenter-dark .outdated-warning-overlay {
+    position: fixed;
+    top: 0;
+    left: 0;
+    right: 0;
+    box-shadow: 0 0 10px rgba(0, 0, 0, 0.3);
+    z-index: 999;
+    background-color: #282f2f;
+    border-bottom: 3px solid #9e1b0d;
+    padding: 10px 35px;
+    text-align: center;
+    font-size: 15px; }
+    html.theme--documenter-dark .outdated-warning-overlay .outdated-warning-closer {
+      position: absolute;
+      top: calc(50% - 10px);
+      right: 18px;
+      cursor: pointer;
+      width: 12px; }
+    html.theme--documenter-dark .outdated-warning-overlay a {
+      color: #1abc9c; }
+      html.theme--documenter-dark .outdated-warning-overlay a:hover {
+        color: #1dd2af; }
+  html.theme--documenter-dark .content pre {
+    border: 1px solid #5e6d6f; }
+  html.theme--documenter-dark .content code {
+    font-weight: inherit; }
+  html.theme--documenter-dark .content a code {
+    color: #1abc9c; }
+  html.theme--documenter-dark .content h1 code, html.theme--documenter-dark .content h2 code, html.theme--documenter-dark .content h3 code, html.theme--documenter-dark .content h4 code, html.theme--documenter-dark .content h5 code, html.theme--documenter-dark .content h6 code {
+    color: #f2f2f2; }
+  html.theme--documenter-dark .content table {
+    display: block;
+    width: initial;
+    max-width: 100%;
+    overflow-x: auto; }
+  html.theme--documenter-dark .content blockquote > ul:first-child, html.theme--documenter-dark .content blockquote > ol:first-child, html.theme--documenter-dark .content .admonition-body > ul:first-child, html.theme--documenter-dark .content .admonition-body > ol:first-child {
+    margin-top: 0; }
+  html.theme--documenter-dark pre, html.theme--documenter-dark code {
+    font-variant-ligatures: no-contextual; }
+  html.theme--documenter-dark .breadcrumb a.is-disabled {
+    cursor: default;
+    pointer-events: none; }
+    html.theme--documenter-dark .breadcrumb a.is-disabled, html.theme--documenter-dark .breadcrumb a.is-disabled:hover {
+      color: #f2f2f2; }
+  html.theme--documenter-dark .hljs {
+    background: initial !important; }
+  html.theme--documenter-dark .katex .katex-mathml {
+    top: 0;
+    right: 0; }
+  html.theme--documenter-dark .katex-display, html.theme--documenter-dark mjx-container, html.theme--documenter-dark .MathJax_Display {
+    margin: 0.5em 0 !important; }
+  html.theme--documenter-dark html {
+    -moz-osx-font-smoothing: auto;
+    -webkit-font-smoothing: auto; }
+  html.theme--documenter-dark li.no-marker {
+    list-style: none; }
+  html.theme--documenter-dark #documenter .docs-main > article {
+    overflow-wrap: break-word; }
+    html.theme--documenter-dark #documenter .docs-main > article .math-container {
+      overflow-x: auto;
+      overflow-y: hidden; }
+  @media screen and (min-width: 1056px) {
+    html.theme--documenter-dark #documenter .docs-main {
+      max-width: 52rem;
+      margin-left: 20rem;
+      padding-right: 1rem; } }
+  @media screen and (max-width: 1055px) {
+    html.theme--documenter-dark #documenter .docs-main {
+      width: 100%; }
+      html.theme--documenter-dark #documenter .docs-main > article {
+        max-width: 52rem;
+        margin-left: auto;
+        margin-right: auto;
+        margin-bottom: 1rem;
+        padding: 0 1rem; }
+      html.theme--documenter-dark #documenter .docs-main > header, html.theme--documenter-dark #documenter .docs-main > nav {
+        max-width: 100%;
+        width: 100%;
+        margin: 0; } }
+  html.theme--documenter-dark #documenter .docs-main header.docs-navbar {
+    background-color: #1f2424;
+    border-bottom: 1px solid #5e6d6f;
+    z-index: 2;
+    min-height: 4rem;
+    margin-bottom: 1rem;
+    display: flex; }
+    html.theme--documenter-dark #documenter .docs-main header.docs-navbar .breadcrumb {
+      flex-grow: 1; }
+    html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right {
+      display: flex;
+      white-space: nowrap; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-icon, html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-label, html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+        display: inline-block; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-label {
+        padding: 0;
+        margin-left: 0.3em; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-settings-button {
+        margin: auto 0 auto 1rem; }
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+        font-size: 1.5rem;
+        margin: auto 0 auto 1rem; }
+    html.theme--documenter-dark #documenter .docs-main header.docs-navbar > * {
+      margin: auto 0; }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark #documenter .docs-main header.docs-navbar {
+        position: sticky;
+        top: 0;
+        padding: 0 1rem;
+        /* For Headroom.js */
+        transition-property: top, box-shadow;
+        -webkit-transition-property: top, box-shadow;
+        /* Safari */
+        transition-duration: 0.3s;
+        -webkit-transition-duration: 0.3s;
+        /* Safari */ }
+        html.theme--documenter-dark #documenter .docs-main header.docs-navbar.headroom--not-top {
+          box-shadow: 0.2rem 0rem 0.4rem #171717;
+          transition-duration: 0.7s;
+          -webkit-transition-duration: 0.7s;
+          /* Safari */ }
+        html.theme--documenter-dark #documenter .docs-main header.docs-navbar.headroom--unpinned.headroom--not-top.headroom--not-bottom {
+          top: -4.5rem;
+          transition-duration: 0.7s;
+          -webkit-transition-duration: 0.7s;
+          /* Safari */ } }
+  html.theme--documenter-dark #documenter .docs-main section.footnotes {
+    border-top: 1px solid #5e6d6f; }
+    html.theme--documenter-dark #documenter .docs-main section.footnotes li .tag:first-child, html.theme--documenter-dark #documenter .docs-main section.footnotes li .docstring > section > a.docs-sourcelink:first-child, html.theme--documenter-dark #documenter .docs-main section.footnotes li .content kbd:first-child, html.theme--documenter-dark .content #documenter .docs-main section.footnotes li kbd:first-child {
+      margin-right: 1em;
+      margin-bottom: 0.4em; }
+  html.theme--documenter-dark #documenter .docs-main .docs-footer {
+    display: flex;
+    flex-wrap: wrap;
+    margin-left: 0;
+    margin-right: 0;
+    border-top: 1px solid #5e6d6f;
+    padding-top: 1rem;
+    padding-bottom: 1rem; }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark #documenter .docs-main .docs-footer {
+        padding-left: 1rem;
+        padding-right: 1rem; } }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-nextpage, html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-prevpage {
+      flex-grow: 1; }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-nextpage {
+      text-align: right; }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .flexbox-break {
+      flex-basis: 100%;
+      height: 0; }
+    html.theme--documenter-dark #documenter .docs-main .docs-footer .footer-message {
+      font-size: 0.8em;
+      margin: 0.5em auto 0 auto;
+      text-align: center; }
+  html.theme--documenter-dark #documenter .docs-sidebar {
+    display: flex;
+    flex-direction: column;
+    color: #fff;
+    background-color: #282f2f;
+    border-right: 1px solid #5e6d6f;
+    padding: 0;
+    flex: 0 0 18rem;
+    z-index: 5;
+    font-size: 15px;
+    position: fixed;
+    left: -18rem;
+    width: 18rem;
+    height: 100%;
+    transition: left 0.3s;
+    /* Setting up a nicer theme style for the scrollbar */ }
+    html.theme--documenter-dark #documenter .docs-sidebar.visible {
+      left: 0;
+      box-shadow: 0.4rem 0rem 0.8rem #171717; }
+      @media screen and (min-width: 1056px) {
+        html.theme--documenter-dark #documenter .docs-sidebar.visible {
+          box-shadow: none; } }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark #documenter .docs-sidebar {
+        left: 0;
+        top: 0; } }
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-logo {
+      margin-top: 1rem;
+      padding: 0 1rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img {
+        max-height: 6rem;
+        margin: auto; }
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name {
+      flex-shrink: 0;
+      font-size: 1.5rem;
+      font-weight: 700;
+      text-align: center;
+      white-space: nowrap;
+      overflow: hidden;
+      padding: 0.5rem 0; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name .docs-autofit {
+        max-width: 16.2rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name a, html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name a:hover {
+        color: #fff; }
+    html.theme--documenter-dark #documenter .docs-sidebar .docs-version-selector {
+      border-top: 1px solid #5e6d6f;
+      display: none;
+      padding: 0.5rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar .docs-version-selector.visible {
+        display: flex; }
+    html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu {
+      flex-grow: 1;
+      user-select: none;
+      border-top: 1px solid #5e6d6f;
+      padding-bottom: 1.5rem;
+      /* Managing collapsible submenus */ }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li > .tocitem {
+        font-weight: bold; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li li {
+        font-size: 14.25px;
+        margin-left: 1em;
+        border-left: 1px solid #5e6d6f; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input.collapse-toggle {
+        display: none; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.collapsed {
+        display: none; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input:checked ~ ul.collapsed {
+        display: block; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem {
+        display: flex; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-label {
+          flex-grow: 2; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron {
+          display: inline-block;
+          font-style: normal;
+          font-variant: normal;
+          text-rendering: auto;
+          line-height: 1;
+          font-size: 11.25px;
+          margin-left: 1rem;
+          margin-top: auto;
+          margin-bottom: auto; }
+          html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron::before {
+            font-family: "Font Awesome 5 Free";
+            font-weight: 900;
+            content: "\f054"; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input:checked ~ label.tocitem .docs-chevron::before {
+        content: "\f078"; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem {
+        display: block;
+        padding: 0.5rem 0.5rem; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem:hover {
+          color: #fff;
+          background: #282f2f; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu a.tocitem:hover, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem:hover {
+        color: #fff;
+        background-color: #32393a; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active {
+        border-top: 1px solid #5e6d6f;
+        border-bottom: 1px solid #5e6d6f;
+        background-color: #1f2424; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem:hover {
+          background-color: #1f2424;
+          color: #fff; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active ul.internal .tocitem:hover {
+          background-color: #32393a;
+          color: #fff; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li.is-active:first-child {
+        border-top: none; }
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal {
+        margin: 0 0.5rem 0.5rem;
+        border-top: 1px solid #5e6d6f; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal li {
+          font-size: 12.75px;
+          border-left: none;
+          margin-left: 0;
+          margin-top: 0.5rem; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem {
+          width: 100%;
+          padding: 0; }
+          html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem::before {
+            content: "⚬";
+            margin-right: 0.4em; }
+    html.theme--documenter-dark #documenter .docs-sidebar form.docs-search {
+      margin: auto;
+      margin-top: 0.5rem;
+      margin-bottom: 0.5rem; }
+      html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input {
+        width: 14.4rem; }
+    @media screen and (min-width: 1056px) {
+      html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu {
+        overflow-y: auto;
+        -webkit-overflow-scroll: touch; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar {
+          width: .3rem;
+          background: none; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb {
+          border-radius: 5px 0px 0px 5px;
+          background: #3b4445; }
+        html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb:hover {
+          background: #4e5a5c; } }
+    @media screen and (max-width: 1055px) {
+      html.theme--documenter-dark #documenter .docs-sidebar {
+        overflow-y: auto;
+        -webkit-overflow-scroll: touch; }
+        html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar {
+          width: .3rem;
+          background: none; }
+        html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar-thumb {
+          border-radius: 5px 0px 0px 5px;
+          background: #3b4445; }
+        html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar-thumb:hover {
+          background: #4e5a5c; } }
+  html.theme--documenter-dark #documenter .docs-main #documenter-search-info {
+    margin-bottom: 1rem; }
+  html.theme--documenter-dark #documenter .docs-main #documenter-search-results {
+    list-style-type: circle;
+    list-style-position: outside; }
+    html.theme--documenter-dark #documenter .docs-main #documenter-search-results li {
+      margin-left: 2rem; }
+    html.theme--documenter-dark #documenter .docs-main #documenter-search-results .docs-highlight {
+      background-color: yellow; }
+  html.theme--documenter-dark {
+    background-color: #1f2424;
+    font-size: 16px;
+    min-width: 300px;
+    overflow-x: auto;
+    overflow-y: scroll;
+    text-rendering: optimizeLegibility;
+    text-size-adjust: 100%; }
+  html.theme--documenter-dark .ansi span.sgr1 {
+    font-weight: bolder; }
+  html.theme--documenter-dark .ansi span.sgr2 {
+    font-weight: lighter; }
+  html.theme--documenter-dark .ansi span.sgr3 {
+    font-style: italic; }
+  html.theme--documenter-dark .ansi span.sgr4 {
+    text-decoration: underline; }
+  html.theme--documenter-dark .ansi span.sgr7 {
+    color: #1f2424;
+    background-color: #fff; }
+  html.theme--documenter-dark .ansi span.sgr8 {
+    color: transparent; }
+    html.theme--documenter-dark .ansi span.sgr8 span {
+      color: transparent; }
+  html.theme--documenter-dark .ansi span.sgr9 {
+    text-decoration: line-through; }
+  html.theme--documenter-dark .ansi span.sgr30 {
+    color: #242424; }
+  html.theme--documenter-dark .ansi span.sgr31 {
+    color: #f6705f; }
+  html.theme--documenter-dark .ansi span.sgr32 {
+    color: #4fb43a; }
+  html.theme--documenter-dark .ansi span.sgr33 {
+    color: #f4c72f; }
+  html.theme--documenter-dark .ansi span.sgr34 {
+    color: #7587f0; }
+  html.theme--documenter-dark .ansi span.sgr35 {
+    color: #bc89d3; }
+  html.theme--documenter-dark .ansi span.sgr36 {
+    color: #49b6ca; }
+  html.theme--documenter-dark .ansi span.sgr37 {
+    color: #b3bdbe; }
+  html.theme--documenter-dark .ansi span.sgr40 {
+    background-color: #242424; }
+  html.theme--documenter-dark .ansi span.sgr41 {
+    background-color: #f6705f; }
+  html.theme--documenter-dark .ansi span.sgr42 {
+    background-color: #4fb43a; }
+  html.theme--documenter-dark .ansi span.sgr43 {
+    background-color: #f4c72f; }
+  html.theme--documenter-dark .ansi span.sgr44 {
+    background-color: #7587f0; }
+  html.theme--documenter-dark .ansi span.sgr45 {
+    background-color: #bc89d3; }
+  html.theme--documenter-dark .ansi span.sgr46 {
+    background-color: #49b6ca; }
+  html.theme--documenter-dark .ansi span.sgr47 {
+    background-color: #b3bdbe; }
+  html.theme--documenter-dark .ansi span.sgr90 {
+    color: #92a0a2; }
+  html.theme--documenter-dark .ansi span.sgr91 {
+    color: #ff8674; }
+  html.theme--documenter-dark .ansi span.sgr92 {
+    color: #79d462; }
+  html.theme--documenter-dark .ansi span.sgr93 {
+    color: #ffe76b; }
+  html.theme--documenter-dark .ansi span.sgr94 {
+    color: #8a98ff; }
+  html.theme--documenter-dark .ansi span.sgr95 {
+    color: #d2a4e6; }
+  html.theme--documenter-dark .ansi span.sgr96 {
+    color: #6bc8db; }
+  html.theme--documenter-dark .ansi span.sgr97 {
+    color: #ecf0f1; }
+  html.theme--documenter-dark .ansi span.sgr100 {
+    background-color: #92a0a2; }
+  html.theme--documenter-dark .ansi span.sgr101 {
+    background-color: #ff8674; }
+  html.theme--documenter-dark .ansi span.sgr102 {
+    background-color: #79d462; }
+  html.theme--documenter-dark .ansi span.sgr103 {
+    background-color: #ffe76b; }
+  html.theme--documenter-dark .ansi span.sgr104 {
+    background-color: #8a98ff; }
+  html.theme--documenter-dark .ansi span.sgr105 {
+    background-color: #d2a4e6; }
+  html.theme--documenter-dark .ansi span.sgr106 {
+    background-color: #6bc8db; }
+  html.theme--documenter-dark .ansi span.sgr107 {
+    background-color: #ecf0f1; }
+  html.theme--documenter-dark code.language-julia-repl > span.hljs-meta {
+    color: #4fb43a;
+    font-weight: bolder; }
+  html.theme--documenter-dark .hljs {
+    background: #2b2b2b;
+    color: #f8f8f2; }
+  html.theme--documenter-dark .hljs-comment,
+  html.theme--documenter-dark .hljs-quote {
+    color: #d4d0ab; }
+  html.theme--documenter-dark .hljs-variable,
+  html.theme--documenter-dark .hljs-template-variable,
+  html.theme--documenter-dark .hljs-tag,
+  html.theme--documenter-dark .hljs-name,
+  html.theme--documenter-dark .hljs-selector-id,
+  html.theme--documenter-dark .hljs-selector-class,
+  html.theme--documenter-dark .hljs-regexp,
+  html.theme--documenter-dark .hljs-deletion {
+    color: #ffa07a; }
+  html.theme--documenter-dark .hljs-number,
+  html.theme--documenter-dark .hljs-built_in,
+  html.theme--documenter-dark .hljs-literal,
+  html.theme--documenter-dark .hljs-type,
+  html.theme--documenter-dark .hljs-params,
+  html.theme--documenter-dark .hljs-meta,
+  html.theme--documenter-dark .hljs-link {
+    color: #f5ab35; }
+  html.theme--documenter-dark .hljs-attribute {
+    color: #ffd700; }
+  html.theme--documenter-dark .hljs-string,
+  html.theme--documenter-dark .hljs-symbol,
+  html.theme--documenter-dark .hljs-bullet,
+  html.theme--documenter-dark .hljs-addition {
+    color: #abe338; }
+  html.theme--documenter-dark .hljs-title,
+  html.theme--documenter-dark .hljs-section {
+    color: #00e0e0; }
+  html.theme--documenter-dark .hljs-keyword,
+  html.theme--documenter-dark .hljs-selector-tag {
+    color: #dcc6e0; }
+  html.theme--documenter-dark .hljs-emphasis {
+    font-style: italic; }
+  html.theme--documenter-dark .hljs-strong {
+    font-weight: bold; }
+  @media screen and (-ms-high-contrast: active) {
+    html.theme--documenter-dark .hljs-addition,
+    html.theme--documenter-dark .hljs-attribute,
+    html.theme--documenter-dark .hljs-built_in,
+    html.theme--documenter-dark .hljs-bullet,
+    html.theme--documenter-dark .hljs-comment,
+    html.theme--documenter-dark .hljs-link,
+    html.theme--documenter-dark .hljs-literal,
+    html.theme--documenter-dark .hljs-meta,
+    html.theme--documenter-dark .hljs-number,
+    html.theme--documenter-dark .hljs-params,
+    html.theme--documenter-dark .hljs-string,
+    html.theme--documenter-dark .hljs-symbol,
+    html.theme--documenter-dark .hljs-type,
+    html.theme--documenter-dark .hljs-quote {
+      color: highlight; }
+    html.theme--documenter-dark .hljs-keyword,
+    html.theme--documenter-dark .hljs-selector-tag {
+      font-weight: bold; } }
+  html.theme--documenter-dark .hljs-subst {
+    color: #f8f8f2; }
diff --git a/v0.5.0/assets/themes/documenter-light.css b/v0.5.0/assets/themes/documenter-light.css
new file mode 100644
index 000000000..9595d5b8e
--- /dev/null
+++ b/v0.5.0/assets/themes/documenter-light.css
@@ -0,0 +1,7738 @@
+@charset "UTF-8";
+/* Font Awesome 5 mixin. Can be included in any rule that should render Font Awesome icons. */
+@keyframes spinAround {
+  from {
+    transform: rotate(0deg); }
+  to {
+    transform: rotate(359deg); } }
+
+.tabs, .pagination-previous,
+.pagination-next,
+.pagination-link,
+.pagination-ellipsis, .breadcrumb, .file, .button, .is-unselectable, .modal-close, .delete {
+  -webkit-touch-callout: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  user-select: none; }
+
+.navbar-link:not(.is-arrowless)::after, .select:not(.is-multiple):not(.is-loading)::after {
+  border: 3px solid transparent;
+  border-radius: 2px;
+  border-right: 0;
+  border-top: 0;
+  content: " ";
+  display: block;
+  height: 0.625em;
+  margin-top: -0.4375em;
+  pointer-events: none;
+  position: absolute;
+  top: 50%;
+  transform: rotate(-45deg);
+  transform-origin: center;
+  width: 0.625em; }
+
+.admonition:not(:last-child), .tabs:not(:last-child), .message:not(:last-child), .list:not(:last-child), .level:not(:last-child), .breadcrumb:not(:last-child), .highlight:not(:last-child), .block:not(:last-child), .title:not(:last-child),
+.subtitle:not(:last-child), .table-container:not(:last-child), .table:not(:last-child), .progress:not(:last-child), .notification:not(:last-child), .content:not(:last-child), .box:not(:last-child) {
+  margin-bottom: 1.5rem; }
+
+.modal-close, .delete {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  background-color: rgba(10, 10, 10, 0.2);
+  border: none;
+  border-radius: 290486px;
+  cursor: pointer;
+  pointer-events: auto;
+  display: inline-block;
+  flex-grow: 0;
+  flex-shrink: 0;
+  font-size: 0;
+  height: 20px;
+  max-height: 20px;
+  max-width: 20px;
+  min-height: 20px;
+  min-width: 20px;
+  outline: none;
+  position: relative;
+  vertical-align: top;
+  width: 20px; }
+  .modal-close::before, .delete::before, .modal-close::after, .delete::after {
+    background-color: white;
+    content: "";
+    display: block;
+    left: 50%;
+    position: absolute;
+    top: 50%;
+    transform: translateX(-50%) translateY(-50%) rotate(45deg);
+    transform-origin: center center; }
+  .modal-close::before, .delete::before {
+    height: 2px;
+    width: 50%; }
+  .modal-close::after, .delete::after {
+    height: 50%;
+    width: 2px; }
+  .modal-close:hover, .delete:hover, .modal-close:focus, .delete:focus {
+    background-color: rgba(10, 10, 10, 0.3); }
+  .modal-close:active, .delete:active {
+    background-color: rgba(10, 10, 10, 0.4); }
+  .is-small.modal-close, #documenter .docs-sidebar form.docs-search > input.modal-close, .is-small.delete, #documenter .docs-sidebar form.docs-search > input.delete {
+    height: 16px;
+    max-height: 16px;
+    max-width: 16px;
+    min-height: 16px;
+    min-width: 16px;
+    width: 16px; }
+  .is-medium.modal-close, .is-medium.delete {
+    height: 24px;
+    max-height: 24px;
+    max-width: 24px;
+    min-height: 24px;
+    min-width: 24px;
+    width: 24px; }
+  .is-large.modal-close, .is-large.delete {
+    height: 32px;
+    max-height: 32px;
+    max-width: 32px;
+    min-height: 32px;
+    min-width: 32px;
+    width: 32px; }
+
+.control.is-loading::after, .select.is-loading::after, .loader, .button.is-loading::after {
+  animation: spinAround 500ms infinite linear;
+  border: 2px solid #dbdbdb;
+  border-radius: 290486px;
+  border-right-color: transparent;
+  border-top-color: transparent;
+  content: "";
+  display: block;
+  height: 1em;
+  position: relative;
+  width: 1em; }
+
+.hero-video, .modal-background, .modal, .image.is-square img, #documenter .docs-sidebar .docs-logo > img.is-square img,
+.image.is-square .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, .image.is-1by1 img, #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+.image.is-1by1 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, .image.is-5by4 img, #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+.image.is-5by4 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, .image.is-4by3 img, #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+.image.is-4by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, .image.is-3by2 img, #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+.image.is-3by2 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, .image.is-5by3 img, #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+.image.is-5by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, .image.is-16by9 img, #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+.image.is-16by9 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, .image.is-2by1 img, #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+.image.is-2by1 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, .image.is-3by1 img, #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+.image.is-3by1 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, .image.is-4by5 img, #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+.image.is-4by5 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, .image.is-3by4 img, #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+.image.is-3by4 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, .image.is-2by3 img, #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+.image.is-2by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, .image.is-3by5 img, #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+.image.is-3by5 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, .image.is-9by16 img, #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+.image.is-9by16 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, .image.is-1by2 img, #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+.image.is-1by2 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, .image.is-1by3 img, #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+.image.is-1by3 .has-ratio,
+#documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio, .is-overlay {
+  bottom: 0;
+  left: 0;
+  position: absolute;
+  right: 0;
+  top: 0; }
+
+.pagination-previous,
+.pagination-next,
+.pagination-link,
+.pagination-ellipsis, .file-cta,
+.file-name, .select select, .textarea, .input, #documenter .docs-sidebar form.docs-search > input, .button {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  align-items: center;
+  border: 1px solid transparent;
+  border-radius: 4px;
+  box-shadow: none;
+  display: inline-flex;
+  font-size: 1rem;
+  height: 2.25em;
+  justify-content: flex-start;
+  line-height: 1.5;
+  padding-bottom: calc(0.375em - 1px);
+  padding-left: calc(0.625em - 1px);
+  padding-right: calc(0.625em - 1px);
+  padding-top: calc(0.375em - 1px);
+  position: relative;
+  vertical-align: top; }
+  .pagination-previous:focus,
+  .pagination-next:focus,
+  .pagination-link:focus,
+  .pagination-ellipsis:focus, .file-cta:focus,
+  .file-name:focus, .select select:focus, .textarea:focus, .input:focus, #documenter .docs-sidebar form.docs-search > input:focus, .button:focus, .is-focused.pagination-previous,
+  .is-focused.pagination-next,
+  .is-focused.pagination-link,
+  .is-focused.pagination-ellipsis, .is-focused.file-cta,
+  .is-focused.file-name, .select select.is-focused, .is-focused.textarea, .is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-focused.button, .pagination-previous:active,
+  .pagination-next:active,
+  .pagination-link:active,
+  .pagination-ellipsis:active, .file-cta:active,
+  .file-name:active, .select select:active, .textarea:active, .input:active, #documenter .docs-sidebar form.docs-search > input:active, .button:active, .is-active.pagination-previous,
+  .is-active.pagination-next,
+  .is-active.pagination-link,
+  .is-active.pagination-ellipsis, .is-active.file-cta,
+  .is-active.file-name, .select select.is-active, .is-active.textarea, .is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .is-active.button {
+    outline: none; }
+  .pagination-previous[disabled],
+  .pagination-next[disabled],
+  .pagination-link[disabled],
+  .pagination-ellipsis[disabled], .file-cta[disabled],
+  .file-name[disabled], .select select[disabled], .textarea[disabled], .input[disabled], #documenter .docs-sidebar form.docs-search > input[disabled], .button[disabled], fieldset[disabled] .pagination-previous,
+  fieldset[disabled] .pagination-next,
+  fieldset[disabled] .pagination-link,
+  fieldset[disabled] .pagination-ellipsis, fieldset[disabled] .file-cta,
+  fieldset[disabled] .file-name, fieldset[disabled] .select select, .select fieldset[disabled] select, fieldset[disabled] .textarea, fieldset[disabled] .input, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input, fieldset[disabled] .button {
+    cursor: not-allowed; }
+
+/*! minireset.css v0.0.4 | MIT License | github.com/jgthms/minireset.css */
+html,
+body,
+p,
+ol,
+ul,
+li,
+dl,
+dt,
+dd,
+blockquote,
+figure,
+fieldset,
+legend,
+textarea,
+pre,
+iframe,
+hr,
+h1,
+h2,
+h3,
+h4,
+h5,
+h6 {
+  margin: 0;
+  padding: 0; }
+
+h1,
+h2,
+h3,
+h4,
+h5,
+h6 {
+  font-size: 100%;
+  font-weight: normal; }
+
+ul {
+  list-style: none; }
+
+button,
+input,
+select,
+textarea {
+  margin: 0; }
+
+html {
+  box-sizing: border-box; }
+
+*, *::before, *::after {
+  box-sizing: inherit; }
+
+img,
+embed,
+iframe,
+object,
+video {
+  height: auto;
+  max-width: 100%; }
+
+audio {
+  max-width: 100%; }
+
+iframe {
+  border: 0; }
+
+table {
+  border-collapse: collapse;
+  border-spacing: 0; }
+
+td,
+th {
+  padding: 0; }
+  td:not([align]),
+  th:not([align]) {
+    text-align: left; }
+
+html {
+  background-color: white;
+  font-size: 16px;
+  -moz-osx-font-smoothing: grayscale;
+  -webkit-font-smoothing: antialiased;
+  min-width: 300px;
+  overflow-x: auto;
+  overflow-y: scroll;
+  text-rendering: optimizeLegibility;
+  text-size-adjust: 100%; }
+
+article,
+aside,
+figure,
+footer,
+header,
+hgroup,
+section {
+  display: block; }
+
+body,
+button,
+input,
+select,
+textarea {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif; }
+
+code,
+pre {
+  -moz-osx-font-smoothing: auto;
+  -webkit-font-smoothing: auto;
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace; }
+
+body {
+  color: #222222;
+  font-size: 1em;
+  font-weight: 400;
+  line-height: 1.5; }
+
+a {
+  color: #2e63b8;
+  cursor: pointer;
+  text-decoration: none; }
+  a strong {
+    color: currentColor; }
+  a:hover {
+    color: #363636; }
+
+code {
+  background-color: rgba(0, 0, 0, 0.05);
+  color: #000000;
+  font-size: 0.875em;
+  font-weight: normal;
+  padding: 0.1em; }
+
+hr {
+  background-color: whitesmoke;
+  border: none;
+  display: block;
+  height: 2px;
+  margin: 1.5rem 0; }
+
+img {
+  height: auto;
+  max-width: 100%; }
+
+input[type="checkbox"],
+input[type="radio"] {
+  vertical-align: baseline; }
+
+small {
+  font-size: 0.875em; }
+
+span {
+  font-style: inherit;
+  font-weight: inherit; }
+
+strong {
+  color: #222222;
+  font-weight: 700; }
+
+fieldset {
+  border: none; }
+
+pre {
+  -webkit-overflow-scrolling: touch;
+  background-color: whitesmoke;
+  color: #222222;
+  font-size: 0.875em;
+  overflow-x: auto;
+  padding: 1.25rem 1.5rem;
+  white-space: pre;
+  word-wrap: normal; }
+  pre code {
+    background-color: transparent;
+    color: currentColor;
+    font-size: 1em;
+    padding: 0; }
+
+table td,
+table th {
+  vertical-align: top; }
+  table td:not([align]),
+  table th:not([align]) {
+    text-align: left; }
+
+table th {
+  color: #222222; }
+
+.is-clearfix::after {
+  clear: both;
+  content: " ";
+  display: table; }
+
+.is-pulled-left {
+  float: left !important; }
+
+.is-pulled-right {
+  float: right !important; }
+
+.is-clipped {
+  overflow: hidden !important; }
+
+.is-size-1 {
+  font-size: 3rem !important; }
+
+.is-size-2 {
+  font-size: 2.5rem !important; }
+
+.is-size-3 {
+  font-size: 2rem !important; }
+
+.is-size-4 {
+  font-size: 1.5rem !important; }
+
+.is-size-5 {
+  font-size: 1.25rem !important; }
+
+.is-size-6 {
+  font-size: 1rem !important; }
+
+.is-size-7, .docstring > section > a.docs-sourcelink {
+  font-size: 0.75rem !important; }
+
+@media screen and (max-width: 768px) {
+  .is-size-1-mobile {
+    font-size: 3rem !important; }
+  .is-size-2-mobile {
+    font-size: 2.5rem !important; }
+  .is-size-3-mobile {
+    font-size: 2rem !important; }
+  .is-size-4-mobile {
+    font-size: 1.5rem !important; }
+  .is-size-5-mobile {
+    font-size: 1.25rem !important; }
+  .is-size-6-mobile {
+    font-size: 1rem !important; }
+  .is-size-7-mobile {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-size-1-tablet {
+    font-size: 3rem !important; }
+  .is-size-2-tablet {
+    font-size: 2.5rem !important; }
+  .is-size-3-tablet {
+    font-size: 2rem !important; }
+  .is-size-4-tablet {
+    font-size: 1.5rem !important; }
+  .is-size-5-tablet {
+    font-size: 1.25rem !important; }
+  .is-size-6-tablet {
+    font-size: 1rem !important; }
+  .is-size-7-tablet {
+    font-size: 0.75rem !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-size-1-touch {
+    font-size: 3rem !important; }
+  .is-size-2-touch {
+    font-size: 2.5rem !important; }
+  .is-size-3-touch {
+    font-size: 2rem !important; }
+  .is-size-4-touch {
+    font-size: 1.5rem !important; }
+  .is-size-5-touch {
+    font-size: 1.25rem !important; }
+  .is-size-6-touch {
+    font-size: 1rem !important; }
+  .is-size-7-touch {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-size-1-desktop {
+    font-size: 3rem !important; }
+  .is-size-2-desktop {
+    font-size: 2.5rem !important; }
+  .is-size-3-desktop {
+    font-size: 2rem !important; }
+  .is-size-4-desktop {
+    font-size: 1.5rem !important; }
+  .is-size-5-desktop {
+    font-size: 1.25rem !important; }
+  .is-size-6-desktop {
+    font-size: 1rem !important; }
+  .is-size-7-desktop {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-size-1-widescreen {
+    font-size: 3rem !important; }
+  .is-size-2-widescreen {
+    font-size: 2.5rem !important; }
+  .is-size-3-widescreen {
+    font-size: 2rem !important; }
+  .is-size-4-widescreen {
+    font-size: 1.5rem !important; }
+  .is-size-5-widescreen {
+    font-size: 1.25rem !important; }
+  .is-size-6-widescreen {
+    font-size: 1rem !important; }
+  .is-size-7-widescreen {
+    font-size: 0.75rem !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-size-1-fullhd {
+    font-size: 3rem !important; }
+  .is-size-2-fullhd {
+    font-size: 2.5rem !important; }
+  .is-size-3-fullhd {
+    font-size: 2rem !important; }
+  .is-size-4-fullhd {
+    font-size: 1.5rem !important; }
+  .is-size-5-fullhd {
+    font-size: 1.25rem !important; }
+  .is-size-6-fullhd {
+    font-size: 1rem !important; }
+  .is-size-7-fullhd {
+    font-size: 0.75rem !important; } }
+
+.has-text-centered {
+  text-align: center !important; }
+
+.has-text-justified {
+  text-align: justify !important; }
+
+.has-text-left {
+  text-align: left !important; }
+
+.has-text-right {
+  text-align: right !important; }
+
+@media screen and (max-width: 768px) {
+  .has-text-centered-mobile {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-centered-tablet {
+    text-align: center !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-centered-tablet-only {
+    text-align: center !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-centered-touch {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-centered-desktop {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-centered-desktop-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-centered-widescreen {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-centered-widescreen-only {
+    text-align: center !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-centered-fullhd {
+    text-align: center !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-justified-mobile {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-justified-tablet {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-justified-tablet-only {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-justified-touch {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-justified-desktop {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-justified-desktop-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-justified-widescreen {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-justified-widescreen-only {
+    text-align: justify !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-justified-fullhd {
+    text-align: justify !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-left-mobile {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-left-tablet {
+    text-align: left !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-left-tablet-only {
+    text-align: left !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-left-touch {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-left-desktop {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-left-desktop-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-left-widescreen {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-left-widescreen-only {
+    text-align: left !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-left-fullhd {
+    text-align: left !important; } }
+
+@media screen and (max-width: 768px) {
+  .has-text-right-mobile {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px), print {
+  .has-text-right-tablet {
+    text-align: right !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .has-text-right-tablet-only {
+    text-align: right !important; } }
+
+@media screen and (max-width: 1055px) {
+  .has-text-right-touch {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) {
+  .has-text-right-desktop {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .has-text-right-desktop-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) {
+  .has-text-right-widescreen {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .has-text-right-widescreen-only {
+    text-align: right !important; } }
+
+@media screen and (min-width: 1408px) {
+  .has-text-right-fullhd {
+    text-align: right !important; } }
+
+.is-capitalized {
+  text-transform: capitalize !important; }
+
+.is-lowercase {
+  text-transform: lowercase !important; }
+
+.is-uppercase {
+  text-transform: uppercase !important; }
+
+.is-italic {
+  font-style: italic !important; }
+
+.has-text-white {
+  color: white !important; }
+
+a.has-text-white:hover, a.has-text-white:focus {
+  color: #e6e6e6 !important; }
+
+.has-background-white {
+  background-color: white !important; }
+
+.has-text-black {
+  color: #0a0a0a !important; }
+
+a.has-text-black:hover, a.has-text-black:focus {
+  color: black !important; }
+
+.has-background-black {
+  background-color: #0a0a0a !important; }
+
+.has-text-light {
+  color: whitesmoke !important; }
+
+a.has-text-light:hover, a.has-text-light:focus {
+  color: #dbdbdb !important; }
+
+.has-background-light {
+  background-color: whitesmoke !important; }
+
+.has-text-dark {
+  color: #363636 !important; }
+
+a.has-text-dark:hover, a.has-text-dark:focus {
+  color: #1c1c1c !important; }
+
+.has-background-dark {
+  background-color: #363636 !important; }
+
+.has-text-primary {
+  color: #4eb5de !important; }
+
+a.has-text-primary:hover, a.has-text-primary:focus {
+  color: #27a1d2 !important; }
+
+.has-background-primary {
+  background-color: #4eb5de !important; }
+
+.has-text-link {
+  color: #2e63b8 !important; }
+
+a.has-text-link:hover, a.has-text-link:focus {
+  color: #244d8f !important; }
+
+.has-background-link {
+  background-color: #2e63b8 !important; }
+
+.has-text-info {
+  color: #209cee !important; }
+
+a.has-text-info:hover, a.has-text-info:focus {
+  color: #1081cb !important; }
+
+.has-background-info {
+  background-color: #209cee !important; }
+
+.has-text-success {
+  color: #22c35b !important; }
+
+a.has-text-success:hover, a.has-text-success:focus {
+  color: #1a9847 !important; }
+
+.has-background-success {
+  background-color: #22c35b !important; }
+
+.has-text-warning {
+  color: #ffdd57 !important; }
+
+a.has-text-warning:hover, a.has-text-warning:focus {
+  color: #ffd324 !important; }
+
+.has-background-warning {
+  background-color: #ffdd57 !important; }
+
+.has-text-danger {
+  color: #da0b00 !important; }
+
+a.has-text-danger:hover, a.has-text-danger:focus {
+  color: #a70800 !important; }
+
+.has-background-danger {
+  background-color: #da0b00 !important; }
+
+.has-text-black-bis {
+  color: #121212 !important; }
+
+.has-background-black-bis {
+  background-color: #121212 !important; }
+
+.has-text-black-ter {
+  color: #242424 !important; }
+
+.has-background-black-ter {
+  background-color: #242424 !important; }
+
+.has-text-grey-darker {
+  color: #363636 !important; }
+
+.has-background-grey-darker {
+  background-color: #363636 !important; }
+
+.has-text-grey-dark {
+  color: #4a4a4a !important; }
+
+.has-background-grey-dark {
+  background-color: #4a4a4a !important; }
+
+.has-text-grey {
+  color: #6b6b6b !important; }
+
+.has-background-grey {
+  background-color: #6b6b6b !important; }
+
+.has-text-grey-light {
+  color: #b5b5b5 !important; }
+
+.has-background-grey-light {
+  background-color: #b5b5b5 !important; }
+
+.has-text-grey-lighter {
+  color: #dbdbdb !important; }
+
+.has-background-grey-lighter {
+  background-color: #dbdbdb !important; }
+
+.has-text-white-ter {
+  color: whitesmoke !important; }
+
+.has-background-white-ter {
+  background-color: whitesmoke !important; }
+
+.has-text-white-bis {
+  color: #fafafa !important; }
+
+.has-background-white-bis {
+  background-color: #fafafa !important; }
+
+.has-text-weight-light {
+  font-weight: 300 !important; }
+
+.has-text-weight-normal {
+  font-weight: 400 !important; }
+
+.has-text-weight-medium {
+  font-weight: 500 !important; }
+
+.has-text-weight-semibold {
+  font-weight: 600 !important; }
+
+.has-text-weight-bold {
+  font-weight: 700 !important; }
+
+.is-family-primary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-secondary {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-sans-serif {
+  font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; }
+
+.is-family-monospace {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-family-code {
+  font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; }
+
+.is-block {
+  display: block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-block-mobile {
+    display: block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-block-tablet {
+    display: block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-block-tablet-only {
+    display: block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-block-touch {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-block-desktop {
+    display: block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-block-desktop-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-block-widescreen {
+    display: block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-block-widescreen-only {
+    display: block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-block-fullhd {
+    display: block !important; } }
+
+.is-flex {
+  display: flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-flex-mobile {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-flex-tablet {
+    display: flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-flex-tablet-only {
+    display: flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-flex-touch {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-flex-desktop {
+    display: flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-flex-desktop-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-flex-widescreen {
+    display: flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-flex-widescreen-only {
+    display: flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-flex-fullhd {
+    display: flex !important; } }
+
+.is-inline {
+  display: inline !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-mobile {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-tablet {
+    display: inline !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-tablet-only {
+    display: inline !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-touch {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-desktop {
+    display: inline !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-desktop-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-widescreen {
+    display: inline !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-widescreen-only {
+    display: inline !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-fullhd {
+    display: inline !important; } }
+
+.is-inline-block {
+  display: inline-block !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-block-mobile {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-block-tablet {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-block-tablet-only {
+    display: inline-block !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-block-touch {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-block-desktop {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-block-desktop-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-block-widescreen {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-block-widescreen-only {
+    display: inline-block !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-block-fullhd {
+    display: inline-block !important; } }
+
+.is-inline-flex {
+  display: inline-flex !important; }
+
+@media screen and (max-width: 768px) {
+  .is-inline-flex-mobile {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-inline-flex-tablet {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-inline-flex-tablet-only {
+    display: inline-flex !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-inline-flex-touch {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-inline-flex-desktop {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-inline-flex-desktop-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-inline-flex-widescreen {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-inline-flex-widescreen-only {
+    display: inline-flex !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-inline-flex-fullhd {
+    display: inline-flex !important; } }
+
+.is-hidden {
+  display: none !important; }
+
+.is-sr-only {
+  border: none !important;
+  clip: rect(0, 0, 0, 0) !important;
+  height: 0.01em !important;
+  overflow: hidden !important;
+  padding: 0 !important;
+  position: absolute !important;
+  white-space: nowrap !important;
+  width: 0.01em !important; }
+
+@media screen and (max-width: 768px) {
+  .is-hidden-mobile {
+    display: none !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-hidden-tablet {
+    display: none !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-hidden-tablet-only {
+    display: none !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-hidden-touch {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-hidden-desktop {
+    display: none !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-hidden-desktop-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-hidden-widescreen {
+    display: none !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-hidden-widescreen-only {
+    display: none !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-hidden-fullhd {
+    display: none !important; } }
+
+.is-invisible {
+  visibility: hidden !important; }
+
+@media screen and (max-width: 768px) {
+  .is-invisible-mobile {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px), print {
+  .is-invisible-tablet {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 769px) and (max-width: 1055px) {
+  .is-invisible-tablet-only {
+    visibility: hidden !important; } }
+
+@media screen and (max-width: 1055px) {
+  .is-invisible-touch {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) {
+  .is-invisible-desktop {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1056px) and (max-width: 1215px) {
+  .is-invisible-desktop-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) {
+  .is-invisible-widescreen {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1216px) and (max-width: 1407px) {
+  .is-invisible-widescreen-only {
+    visibility: hidden !important; } }
+
+@media screen and (min-width: 1408px) {
+  .is-invisible-fullhd {
+    visibility: hidden !important; } }
+
+.is-marginless {
+  margin: 0 !important; }
+
+.is-paddingless {
+  padding: 0 !important; }
+
+.is-radiusless {
+  border-radius: 0 !important; }
+
+.is-shadowless {
+  box-shadow: none !important; }
+
+.is-relative {
+  position: relative !important; }
+
+.box {
+  background-color: white;
+  border-radius: 6px;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+  color: #222222;
+  display: block;
+  padding: 1.25rem; }
+
+a.box:hover, a.box:focus {
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px #2e63b8; }
+
+a.box:active {
+  box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2), 0 0 0 1px #2e63b8; }
+
+.button {
+  background-color: white;
+  border-color: #dbdbdb;
+  border-width: 1px;
+  color: #363636;
+  cursor: pointer;
+  justify-content: center;
+  padding-bottom: calc(0.375em - 1px);
+  padding-left: 0.75em;
+  padding-right: 0.75em;
+  padding-top: calc(0.375em - 1px);
+  text-align: center;
+  white-space: nowrap; }
+  .button strong {
+    color: inherit; }
+  .button .icon, .button .icon.is-small, .button #documenter .docs-sidebar form.docs-search > input.icon, #documenter .docs-sidebar .button form.docs-search > input.icon, .button .icon.is-medium, .button .icon.is-large {
+    height: 1.5em;
+    width: 1.5em; }
+  .button .icon:first-child:not(:last-child) {
+    margin-left: calc(-0.375em - 1px);
+    margin-right: 0.1875em; }
+  .button .icon:last-child:not(:first-child) {
+    margin-left: 0.1875em;
+    margin-right: calc(-0.375em - 1px); }
+  .button .icon:first-child:last-child {
+    margin-left: calc(-0.375em - 1px);
+    margin-right: calc(-0.375em - 1px); }
+  .button:hover, .button.is-hovered {
+    border-color: #b5b5b5;
+    color: #363636; }
+  .button:focus, .button.is-focused {
+    border-color: #3c5dcd;
+    color: #363636; }
+    .button:focus:not(:active), .button.is-focused:not(:active) {
+      box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .button:active, .button.is-active {
+    border-color: #4a4a4a;
+    color: #363636; }
+  .button.is-text {
+    background-color: transparent;
+    border-color: transparent;
+    color: #222222;
+    text-decoration: underline; }
+    .button.is-text:hover, .button.is-text.is-hovered, .button.is-text:focus, .button.is-text.is-focused {
+      background-color: whitesmoke;
+      color: #222222; }
+    .button.is-text:active, .button.is-text.is-active {
+      background-color: #e8e8e8;
+      color: #222222; }
+    .button.is-text[disabled], fieldset[disabled] .button.is-text {
+      background-color: transparent;
+      border-color: transparent;
+      box-shadow: none; }
+  .button.is-white {
+    background-color: white;
+    border-color: transparent;
+    color: #0a0a0a; }
+    .button.is-white:hover, .button.is-white.is-hovered {
+      background-color: #f9f9f9;
+      border-color: transparent;
+      color: #0a0a0a; }
+    .button.is-white:focus, .button.is-white.is-focused {
+      border-color: transparent;
+      color: #0a0a0a; }
+      .button.is-white:focus:not(:active), .button.is-white.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+    .button.is-white:active, .button.is-white.is-active {
+      background-color: #f2f2f2;
+      border-color: transparent;
+      color: #0a0a0a; }
+    .button.is-white[disabled], fieldset[disabled] .button.is-white {
+      background-color: white;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-white.is-inverted {
+      background-color: #0a0a0a;
+      color: white; }
+      .button.is-white.is-inverted:hover, .button.is-white.is-inverted.is-hovered {
+        background-color: black; }
+      .button.is-white.is-inverted[disabled], fieldset[disabled] .button.is-white.is-inverted {
+        background-color: #0a0a0a;
+        border-color: transparent;
+        box-shadow: none;
+        color: white; }
+    .button.is-white.is-loading::after {
+      border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+    .button.is-white.is-outlined {
+      background-color: transparent;
+      border-color: white;
+      color: white; }
+      .button.is-white.is-outlined:hover, .button.is-white.is-outlined.is-hovered, .button.is-white.is-outlined:focus, .button.is-white.is-outlined.is-focused {
+        background-color: white;
+        border-color: white;
+        color: #0a0a0a; }
+      .button.is-white.is-outlined.is-loading::after {
+        border-color: transparent transparent white white !important; }
+      .button.is-white.is-outlined.is-loading:hover::after, .button.is-white.is-outlined.is-loading.is-hovered::after, .button.is-white.is-outlined.is-loading:focus::after, .button.is-white.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      .button.is-white.is-outlined[disabled], fieldset[disabled] .button.is-white.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        box-shadow: none;
+        color: white; }
+    .button.is-white.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #0a0a0a;
+      color: #0a0a0a; }
+      .button.is-white.is-inverted.is-outlined:hover, .button.is-white.is-inverted.is-outlined.is-hovered, .button.is-white.is-inverted.is-outlined:focus, .button.is-white.is-inverted.is-outlined.is-focused {
+        background-color: #0a0a0a;
+        color: white; }
+      .button.is-white.is-inverted.is-outlined.is-loading:hover::after, .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-white.is-inverted.is-outlined.is-loading:focus::after, .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent white white !important; }
+      .button.is-white.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-white.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        box-shadow: none;
+        color: #0a0a0a; }
+  .button.is-black {
+    background-color: #0a0a0a;
+    border-color: transparent;
+    color: white; }
+    .button.is-black:hover, .button.is-black.is-hovered {
+      background-color: #040404;
+      border-color: transparent;
+      color: white; }
+    .button.is-black:focus, .button.is-black.is-focused {
+      border-color: transparent;
+      color: white; }
+      .button.is-black:focus:not(:active), .button.is-black.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+    .button.is-black:active, .button.is-black.is-active {
+      background-color: black;
+      border-color: transparent;
+      color: white; }
+    .button.is-black[disabled], fieldset[disabled] .button.is-black {
+      background-color: #0a0a0a;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-black.is-inverted {
+      background-color: white;
+      color: #0a0a0a; }
+      .button.is-black.is-inverted:hover, .button.is-black.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-black.is-inverted[disabled], fieldset[disabled] .button.is-black.is-inverted {
+        background-color: white;
+        border-color: transparent;
+        box-shadow: none;
+        color: #0a0a0a; }
+    .button.is-black.is-loading::after {
+      border-color: transparent transparent white white !important; }
+    .button.is-black.is-outlined {
+      background-color: transparent;
+      border-color: #0a0a0a;
+      color: #0a0a0a; }
+      .button.is-black.is-outlined:hover, .button.is-black.is-outlined.is-hovered, .button.is-black.is-outlined:focus, .button.is-black.is-outlined.is-focused {
+        background-color: #0a0a0a;
+        border-color: #0a0a0a;
+        color: white; }
+      .button.is-black.is-outlined.is-loading::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      .button.is-black.is-outlined.is-loading:hover::after, .button.is-black.is-outlined.is-loading.is-hovered::after, .button.is-black.is-outlined.is-loading:focus::after, .button.is-black.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent white white !important; }
+      .button.is-black.is-outlined[disabled], fieldset[disabled] .button.is-black.is-outlined {
+        background-color: transparent;
+        border-color: #0a0a0a;
+        box-shadow: none;
+        color: #0a0a0a; }
+    .button.is-black.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: white;
+      color: white; }
+      .button.is-black.is-inverted.is-outlined:hover, .button.is-black.is-inverted.is-outlined.is-hovered, .button.is-black.is-inverted.is-outlined:focus, .button.is-black.is-inverted.is-outlined.is-focused {
+        background-color: white;
+        color: #0a0a0a; }
+      .button.is-black.is-inverted.is-outlined.is-loading:hover::after, .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-black.is-inverted.is-outlined.is-loading:focus::after, .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #0a0a0a #0a0a0a !important; }
+      .button.is-black.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-black.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: white;
+        box-shadow: none;
+        color: white; }
+  .button.is-light {
+    background-color: whitesmoke;
+    border-color: transparent;
+    color: #363636; }
+    .button.is-light:hover, .button.is-light.is-hovered {
+      background-color: #eeeeee;
+      border-color: transparent;
+      color: #363636; }
+    .button.is-light:focus, .button.is-light.is-focused {
+      border-color: transparent;
+      color: #363636; }
+      .button.is-light:focus:not(:active), .button.is-light.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); }
+    .button.is-light:active, .button.is-light.is-active {
+      background-color: #e8e8e8;
+      border-color: transparent;
+      color: #363636; }
+    .button.is-light[disabled], fieldset[disabled] .button.is-light {
+      background-color: whitesmoke;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-light.is-inverted {
+      background-color: #363636;
+      color: whitesmoke; }
+      .button.is-light.is-inverted:hover, .button.is-light.is-inverted.is-hovered {
+        background-color: #292929; }
+      .button.is-light.is-inverted[disabled], fieldset[disabled] .button.is-light.is-inverted {
+        background-color: #363636;
+        border-color: transparent;
+        box-shadow: none;
+        color: whitesmoke; }
+    .button.is-light.is-loading::after {
+      border-color: transparent transparent #363636 #363636 !important; }
+    .button.is-light.is-outlined {
+      background-color: transparent;
+      border-color: whitesmoke;
+      color: whitesmoke; }
+      .button.is-light.is-outlined:hover, .button.is-light.is-outlined.is-hovered, .button.is-light.is-outlined:focus, .button.is-light.is-outlined.is-focused {
+        background-color: whitesmoke;
+        border-color: whitesmoke;
+        color: #363636; }
+      .button.is-light.is-outlined.is-loading::after {
+        border-color: transparent transparent whitesmoke whitesmoke !important; }
+      .button.is-light.is-outlined.is-loading:hover::after, .button.is-light.is-outlined.is-loading.is-hovered::after, .button.is-light.is-outlined.is-loading:focus::after, .button.is-light.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #363636 #363636 !important; }
+      .button.is-light.is-outlined[disabled], fieldset[disabled] .button.is-light.is-outlined {
+        background-color: transparent;
+        border-color: whitesmoke;
+        box-shadow: none;
+        color: whitesmoke; }
+    .button.is-light.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #363636;
+      color: #363636; }
+      .button.is-light.is-inverted.is-outlined:hover, .button.is-light.is-inverted.is-outlined.is-hovered, .button.is-light.is-inverted.is-outlined:focus, .button.is-light.is-inverted.is-outlined.is-focused {
+        background-color: #363636;
+        color: whitesmoke; }
+      .button.is-light.is-inverted.is-outlined.is-loading:hover::after, .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-light.is-inverted.is-outlined.is-loading:focus::after, .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent whitesmoke whitesmoke !important; }
+      .button.is-light.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-light.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #363636;
+        box-shadow: none;
+        color: #363636; }
+  .button.is-dark, .content kbd.button {
+    background-color: #363636;
+    border-color: transparent;
+    color: whitesmoke; }
+    .button.is-dark:hover, .content kbd.button:hover, .button.is-dark.is-hovered, .content kbd.button.is-hovered {
+      background-color: #2f2f2f;
+      border-color: transparent;
+      color: whitesmoke; }
+    .button.is-dark:focus, .content kbd.button:focus, .button.is-dark.is-focused, .content kbd.button.is-focused {
+      border-color: transparent;
+      color: whitesmoke; }
+      .button.is-dark:focus:not(:active), .content kbd.button:focus:not(:active), .button.is-dark.is-focused:not(:active), .content kbd.button.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); }
+    .button.is-dark:active, .content kbd.button:active, .button.is-dark.is-active, .content kbd.button.is-active {
+      background-color: #292929;
+      border-color: transparent;
+      color: whitesmoke; }
+    .button.is-dark[disabled], .content kbd.button[disabled], fieldset[disabled] .button.is-dark, fieldset[disabled] .content kbd.button, .content fieldset[disabled] kbd.button {
+      background-color: #363636;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-dark.is-inverted, .content kbd.button.is-inverted {
+      background-color: whitesmoke;
+      color: #363636; }
+      .button.is-dark.is-inverted:hover, .content kbd.button.is-inverted:hover, .button.is-dark.is-inverted.is-hovered, .content kbd.button.is-inverted.is-hovered {
+        background-color: #e8e8e8; }
+      .button.is-dark.is-inverted[disabled], .content kbd.button.is-inverted[disabled], fieldset[disabled] .button.is-dark.is-inverted, fieldset[disabled] .content kbd.button.is-inverted, .content fieldset[disabled] kbd.button.is-inverted {
+        background-color: whitesmoke;
+        border-color: transparent;
+        box-shadow: none;
+        color: #363636; }
+    .button.is-dark.is-loading::after, .content kbd.button.is-loading::after {
+      border-color: transparent transparent whitesmoke whitesmoke !important; }
+    .button.is-dark.is-outlined, .content kbd.button.is-outlined {
+      background-color: transparent;
+      border-color: #363636;
+      color: #363636; }
+      .button.is-dark.is-outlined:hover, .content kbd.button.is-outlined:hover, .button.is-dark.is-outlined.is-hovered, .content kbd.button.is-outlined.is-hovered, .button.is-dark.is-outlined:focus, .content kbd.button.is-outlined:focus, .button.is-dark.is-outlined.is-focused, .content kbd.button.is-outlined.is-focused {
+        background-color: #363636;
+        border-color: #363636;
+        color: whitesmoke; }
+      .button.is-dark.is-outlined.is-loading::after, .content kbd.button.is-outlined.is-loading::after {
+        border-color: transparent transparent #363636 #363636 !important; }
+      .button.is-dark.is-outlined.is-loading:hover::after, .content kbd.button.is-outlined.is-loading:hover::after, .button.is-dark.is-outlined.is-loading.is-hovered::after, .content kbd.button.is-outlined.is-loading.is-hovered::after, .button.is-dark.is-outlined.is-loading:focus::after, .content kbd.button.is-outlined.is-loading:focus::after, .button.is-dark.is-outlined.is-loading.is-focused::after, .content kbd.button.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent whitesmoke whitesmoke !important; }
+      .button.is-dark.is-outlined[disabled], .content kbd.button.is-outlined[disabled], fieldset[disabled] .button.is-dark.is-outlined, fieldset[disabled] .content kbd.button.is-outlined, .content fieldset[disabled] kbd.button.is-outlined {
+        background-color: transparent;
+        border-color: #363636;
+        box-shadow: none;
+        color: #363636; }
+    .button.is-dark.is-inverted.is-outlined, .content kbd.button.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: whitesmoke;
+      color: whitesmoke; }
+      .button.is-dark.is-inverted.is-outlined:hover, .content kbd.button.is-inverted.is-outlined:hover, .button.is-dark.is-inverted.is-outlined.is-hovered, .content kbd.button.is-inverted.is-outlined.is-hovered, .button.is-dark.is-inverted.is-outlined:focus, .content kbd.button.is-inverted.is-outlined:focus, .button.is-dark.is-inverted.is-outlined.is-focused, .content kbd.button.is-inverted.is-outlined.is-focused {
+        background-color: whitesmoke;
+        color: #363636; }
+      .button.is-dark.is-inverted.is-outlined.is-loading:hover::after, .content kbd.button.is-inverted.is-outlined.is-loading:hover::after, .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after, .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-dark.is-inverted.is-outlined.is-loading:focus::after, .content kbd.button.is-inverted.is-outlined.is-loading:focus::after, .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after, .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #363636 #363636 !important; }
+      .button.is-dark.is-inverted.is-outlined[disabled], .content kbd.button.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-dark.is-inverted.is-outlined, fieldset[disabled] .content kbd.button.is-inverted.is-outlined, .content fieldset[disabled] kbd.button.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: whitesmoke;
+        box-shadow: none;
+        color: whitesmoke; }
+  .button.is-primary, .docstring > section > a.button.docs-sourcelink {
+    background-color: #4eb5de;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-primary:hover, .docstring > section > a.button.docs-sourcelink:hover, .button.is-primary.is-hovered, .docstring > section > a.button.is-hovered.docs-sourcelink {
+      background-color: #43b1dc;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-primary:focus, .docstring > section > a.button.docs-sourcelink:focus, .button.is-primary.is-focused, .docstring > section > a.button.is-focused.docs-sourcelink {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-primary:focus:not(:active), .docstring > section > a.button.docs-sourcelink:focus:not(:active), .button.is-primary.is-focused:not(:active), .docstring > section > a.button.is-focused.docs-sourcelink:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); }
+    .button.is-primary:active, .docstring > section > a.button.docs-sourcelink:active, .button.is-primary.is-active, .docstring > section > a.button.is-active.docs-sourcelink {
+      background-color: #39acda;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-primary[disabled], .docstring > section > a.button.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary, fieldset[disabled] .docstring > section > a.button.docs-sourcelink {
+      background-color: #4eb5de;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-primary.is-inverted, .docstring > section > a.button.is-inverted.docs-sourcelink {
+      background-color: #fff;
+      color: #4eb5de; }
+      .button.is-primary.is-inverted:hover, .docstring > section > a.button.is-inverted.docs-sourcelink:hover, .button.is-primary.is-inverted.is-hovered, .docstring > section > a.button.is-inverted.is-hovered.docs-sourcelink {
+        background-color: #f2f2f2; }
+      .button.is-primary.is-inverted[disabled], .docstring > section > a.button.is-inverted.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-inverted, fieldset[disabled] .docstring > section > a.button.is-inverted.docs-sourcelink {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #4eb5de; }
+    .button.is-primary.is-loading::after, .docstring > section > a.button.is-loading.docs-sourcelink::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-primary.is-outlined, .docstring > section > a.button.is-outlined.docs-sourcelink {
+      background-color: transparent;
+      border-color: #4eb5de;
+      color: #4eb5de; }
+      .button.is-primary.is-outlined:hover, .docstring > section > a.button.is-outlined.docs-sourcelink:hover, .button.is-primary.is-outlined.is-hovered, .docstring > section > a.button.is-outlined.is-hovered.docs-sourcelink, .button.is-primary.is-outlined:focus, .docstring > section > a.button.is-outlined.docs-sourcelink:focus, .button.is-primary.is-outlined.is-focused, .docstring > section > a.button.is-outlined.is-focused.docs-sourcelink {
+        background-color: #4eb5de;
+        border-color: #4eb5de;
+        color: #fff; }
+      .button.is-primary.is-outlined.is-loading::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink::after {
+        border-color: transparent transparent #4eb5de #4eb5de !important; }
+      .button.is-primary.is-outlined.is-loading:hover::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:hover::after, .button.is-primary.is-outlined.is-loading.is-hovered::after, .docstring > section > a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after, .button.is-primary.is-outlined.is-loading:focus::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:focus::after, .button.is-primary.is-outlined.is-loading.is-focused::after, .docstring > section > a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-primary.is-outlined[disabled], .docstring > section > a.button.is-outlined.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-outlined, fieldset[disabled] .docstring > section > a.button.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #4eb5de;
+        box-shadow: none;
+        color: #4eb5de; }
+    .button.is-primary.is-inverted.is-outlined, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-primary.is-inverted.is-outlined:hover, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:hover, .button.is-primary.is-inverted.is-outlined.is-hovered, .docstring > section > a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink, .button.is-primary.is-inverted.is-outlined:focus, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:focus, .button.is-primary.is-inverted.is-outlined.is-focused, .docstring > section > a.button.is-inverted.is-outlined.is-focused.docs-sourcelink {
+        background-color: #fff;
+        color: #4eb5de; }
+      .button.is-primary.is-inverted.is-outlined.is-loading:hover::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after, .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after, .button.is-primary.is-inverted.is-outlined.is-loading:focus::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after, .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after {
+        border-color: transparent transparent #4eb5de #4eb5de !important; }
+      .button.is-primary.is-inverted.is-outlined[disabled], .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-inverted.is-outlined, fieldset[disabled] .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-link {
+    background-color: #2e63b8;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-link:hover, .button.is-link.is-hovered {
+      background-color: #2b5eae;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-link:focus, .button.is-link.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-link:focus:not(:active), .button.is-link.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+    .button.is-link:active, .button.is-link.is-active {
+      background-color: #2958a4;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-link[disabled], fieldset[disabled] .button.is-link {
+      background-color: #2e63b8;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-link.is-inverted {
+      background-color: #fff;
+      color: #2e63b8; }
+      .button.is-link.is-inverted:hover, .button.is-link.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-link.is-inverted[disabled], fieldset[disabled] .button.is-link.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #2e63b8; }
+    .button.is-link.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-link.is-outlined {
+      background-color: transparent;
+      border-color: #2e63b8;
+      color: #2e63b8; }
+      .button.is-link.is-outlined:hover, .button.is-link.is-outlined.is-hovered, .button.is-link.is-outlined:focus, .button.is-link.is-outlined.is-focused {
+        background-color: #2e63b8;
+        border-color: #2e63b8;
+        color: #fff; }
+      .button.is-link.is-outlined.is-loading::after {
+        border-color: transparent transparent #2e63b8 #2e63b8 !important; }
+      .button.is-link.is-outlined.is-loading:hover::after, .button.is-link.is-outlined.is-loading.is-hovered::after, .button.is-link.is-outlined.is-loading:focus::after, .button.is-link.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-link.is-outlined[disabled], fieldset[disabled] .button.is-link.is-outlined {
+        background-color: transparent;
+        border-color: #2e63b8;
+        box-shadow: none;
+        color: #2e63b8; }
+    .button.is-link.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-link.is-inverted.is-outlined:hover, .button.is-link.is-inverted.is-outlined.is-hovered, .button.is-link.is-inverted.is-outlined:focus, .button.is-link.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #2e63b8; }
+      .button.is-link.is-inverted.is-outlined.is-loading:hover::after, .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-link.is-inverted.is-outlined.is-loading:focus::after, .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #2e63b8 #2e63b8 !important; }
+      .button.is-link.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-link.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-info {
+    background-color: #209cee;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-info:hover, .button.is-info.is-hovered {
+      background-color: #1497ed;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-info:focus, .button.is-info.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-info:focus:not(:active), .button.is-info.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); }
+    .button.is-info:active, .button.is-info.is-active {
+      background-color: #1190e3;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-info[disabled], fieldset[disabled] .button.is-info {
+      background-color: #209cee;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-info.is-inverted {
+      background-color: #fff;
+      color: #209cee; }
+      .button.is-info.is-inverted:hover, .button.is-info.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-info.is-inverted[disabled], fieldset[disabled] .button.is-info.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #209cee; }
+    .button.is-info.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-info.is-outlined {
+      background-color: transparent;
+      border-color: #209cee;
+      color: #209cee; }
+      .button.is-info.is-outlined:hover, .button.is-info.is-outlined.is-hovered, .button.is-info.is-outlined:focus, .button.is-info.is-outlined.is-focused {
+        background-color: #209cee;
+        border-color: #209cee;
+        color: #fff; }
+      .button.is-info.is-outlined.is-loading::after {
+        border-color: transparent transparent #209cee #209cee !important; }
+      .button.is-info.is-outlined.is-loading:hover::after, .button.is-info.is-outlined.is-loading.is-hovered::after, .button.is-info.is-outlined.is-loading:focus::after, .button.is-info.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-info.is-outlined[disabled], fieldset[disabled] .button.is-info.is-outlined {
+        background-color: transparent;
+        border-color: #209cee;
+        box-shadow: none;
+        color: #209cee; }
+    .button.is-info.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-info.is-inverted.is-outlined:hover, .button.is-info.is-inverted.is-outlined.is-hovered, .button.is-info.is-inverted.is-outlined:focus, .button.is-info.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #209cee; }
+      .button.is-info.is-inverted.is-outlined.is-loading:hover::after, .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-info.is-inverted.is-outlined.is-loading:focus::after, .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #209cee #209cee !important; }
+      .button.is-info.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-info.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-success {
+    background-color: #22c35b;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-success:hover, .button.is-success.is-hovered {
+      background-color: #20b856;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-success:focus, .button.is-success.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-success:focus:not(:active), .button.is-success.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); }
+    .button.is-success:active, .button.is-success.is-active {
+      background-color: #1ead51;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-success[disabled], fieldset[disabled] .button.is-success {
+      background-color: #22c35b;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-success.is-inverted {
+      background-color: #fff;
+      color: #22c35b; }
+      .button.is-success.is-inverted:hover, .button.is-success.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-success.is-inverted[disabled], fieldset[disabled] .button.is-success.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #22c35b; }
+    .button.is-success.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-success.is-outlined {
+      background-color: transparent;
+      border-color: #22c35b;
+      color: #22c35b; }
+      .button.is-success.is-outlined:hover, .button.is-success.is-outlined.is-hovered, .button.is-success.is-outlined:focus, .button.is-success.is-outlined.is-focused {
+        background-color: #22c35b;
+        border-color: #22c35b;
+        color: #fff; }
+      .button.is-success.is-outlined.is-loading::after {
+        border-color: transparent transparent #22c35b #22c35b !important; }
+      .button.is-success.is-outlined.is-loading:hover::after, .button.is-success.is-outlined.is-loading.is-hovered::after, .button.is-success.is-outlined.is-loading:focus::after, .button.is-success.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-success.is-outlined[disabled], fieldset[disabled] .button.is-success.is-outlined {
+        background-color: transparent;
+        border-color: #22c35b;
+        box-shadow: none;
+        color: #22c35b; }
+    .button.is-success.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-success.is-inverted.is-outlined:hover, .button.is-success.is-inverted.is-outlined.is-hovered, .button.is-success.is-inverted.is-outlined:focus, .button.is-success.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #22c35b; }
+      .button.is-success.is-inverted.is-outlined.is-loading:hover::after, .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-success.is-inverted.is-outlined.is-loading:focus::after, .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #22c35b #22c35b !important; }
+      .button.is-success.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-success.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-warning {
+    background-color: #ffdd57;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+    .button.is-warning:hover, .button.is-warning.is-hovered {
+      background-color: #ffda4a;
+      border-color: transparent;
+      color: rgba(0, 0, 0, 0.7); }
+    .button.is-warning:focus, .button.is-warning.is-focused {
+      border-color: transparent;
+      color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning:focus:not(:active), .button.is-warning.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); }
+    .button.is-warning:active, .button.is-warning.is-active {
+      background-color: #ffd83e;
+      border-color: transparent;
+      color: rgba(0, 0, 0, 0.7); }
+    .button.is-warning[disabled], fieldset[disabled] .button.is-warning {
+      background-color: #ffdd57;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-warning.is-inverted {
+      background-color: rgba(0, 0, 0, 0.7);
+      color: #ffdd57; }
+      .button.is-warning.is-inverted:hover, .button.is-warning.is-inverted.is-hovered {
+        background-color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning.is-inverted[disabled], fieldset[disabled] .button.is-warning.is-inverted {
+        background-color: rgba(0, 0, 0, 0.7);
+        border-color: transparent;
+        box-shadow: none;
+        color: #ffdd57; }
+    .button.is-warning.is-loading::after {
+      border-color: transparent transparent rgba(0, 0, 0, 0.7) rgba(0, 0, 0, 0.7) !important; }
+    .button.is-warning.is-outlined {
+      background-color: transparent;
+      border-color: #ffdd57;
+      color: #ffdd57; }
+      .button.is-warning.is-outlined:hover, .button.is-warning.is-outlined.is-hovered, .button.is-warning.is-outlined:focus, .button.is-warning.is-outlined.is-focused {
+        background-color: #ffdd57;
+        border-color: #ffdd57;
+        color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning.is-outlined.is-loading::after {
+        border-color: transparent transparent #ffdd57 #ffdd57 !important; }
+      .button.is-warning.is-outlined.is-loading:hover::after, .button.is-warning.is-outlined.is-loading.is-hovered::after, .button.is-warning.is-outlined.is-loading:focus::after, .button.is-warning.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent rgba(0, 0, 0, 0.7) rgba(0, 0, 0, 0.7) !important; }
+      .button.is-warning.is-outlined[disabled], fieldset[disabled] .button.is-warning.is-outlined {
+        background-color: transparent;
+        border-color: #ffdd57;
+        box-shadow: none;
+        color: #ffdd57; }
+    .button.is-warning.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: rgba(0, 0, 0, 0.7);
+      color: rgba(0, 0, 0, 0.7); }
+      .button.is-warning.is-inverted.is-outlined:hover, .button.is-warning.is-inverted.is-outlined.is-hovered, .button.is-warning.is-inverted.is-outlined:focus, .button.is-warning.is-inverted.is-outlined.is-focused {
+        background-color: rgba(0, 0, 0, 0.7);
+        color: #ffdd57; }
+      .button.is-warning.is-inverted.is-outlined.is-loading:hover::after, .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-warning.is-inverted.is-outlined.is-loading:focus::after, .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #ffdd57 #ffdd57 !important; }
+      .button.is-warning.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-warning.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: rgba(0, 0, 0, 0.7);
+        box-shadow: none;
+        color: rgba(0, 0, 0, 0.7); }
+  .button.is-danger {
+    background-color: #da0b00;
+    border-color: transparent;
+    color: #fff; }
+    .button.is-danger:hover, .button.is-danger.is-hovered {
+      background-color: #cd0a00;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-danger:focus, .button.is-danger.is-focused {
+      border-color: transparent;
+      color: #fff; }
+      .button.is-danger:focus:not(:active), .button.is-danger.is-focused:not(:active) {
+        box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); }
+    .button.is-danger:active, .button.is-danger.is-active {
+      background-color: #c10a00;
+      border-color: transparent;
+      color: #fff; }
+    .button.is-danger[disabled], fieldset[disabled] .button.is-danger {
+      background-color: #da0b00;
+      border-color: transparent;
+      box-shadow: none; }
+    .button.is-danger.is-inverted {
+      background-color: #fff;
+      color: #da0b00; }
+      .button.is-danger.is-inverted:hover, .button.is-danger.is-inverted.is-hovered {
+        background-color: #f2f2f2; }
+      .button.is-danger.is-inverted[disabled], fieldset[disabled] .button.is-danger.is-inverted {
+        background-color: #fff;
+        border-color: transparent;
+        box-shadow: none;
+        color: #da0b00; }
+    .button.is-danger.is-loading::after {
+      border-color: transparent transparent #fff #fff !important; }
+    .button.is-danger.is-outlined {
+      background-color: transparent;
+      border-color: #da0b00;
+      color: #da0b00; }
+      .button.is-danger.is-outlined:hover, .button.is-danger.is-outlined.is-hovered, .button.is-danger.is-outlined:focus, .button.is-danger.is-outlined.is-focused {
+        background-color: #da0b00;
+        border-color: #da0b00;
+        color: #fff; }
+      .button.is-danger.is-outlined.is-loading::after {
+        border-color: transparent transparent #da0b00 #da0b00 !important; }
+      .button.is-danger.is-outlined.is-loading:hover::after, .button.is-danger.is-outlined.is-loading.is-hovered::after, .button.is-danger.is-outlined.is-loading:focus::after, .button.is-danger.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #fff #fff !important; }
+      .button.is-danger.is-outlined[disabled], fieldset[disabled] .button.is-danger.is-outlined {
+        background-color: transparent;
+        border-color: #da0b00;
+        box-shadow: none;
+        color: #da0b00; }
+    .button.is-danger.is-inverted.is-outlined {
+      background-color: transparent;
+      border-color: #fff;
+      color: #fff; }
+      .button.is-danger.is-inverted.is-outlined:hover, .button.is-danger.is-inverted.is-outlined.is-hovered, .button.is-danger.is-inverted.is-outlined:focus, .button.is-danger.is-inverted.is-outlined.is-focused {
+        background-color: #fff;
+        color: #da0b00; }
+      .button.is-danger.is-inverted.is-outlined.is-loading:hover::after, .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-danger.is-inverted.is-outlined.is-loading:focus::after, .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after {
+        border-color: transparent transparent #da0b00 #da0b00 !important; }
+      .button.is-danger.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-danger.is-inverted.is-outlined {
+        background-color: transparent;
+        border-color: #fff;
+        box-shadow: none;
+        color: #fff; }
+  .button.is-small, #documenter .docs-sidebar form.docs-search > input.button {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .button.is-normal {
+    font-size: 1rem; }
+  .button.is-medium {
+    font-size: 1.25rem; }
+  .button.is-large {
+    font-size: 1.5rem; }
+  .button[disabled], fieldset[disabled] .button {
+    background-color: white;
+    border-color: #dbdbdb;
+    box-shadow: none;
+    opacity: 0.5; }
+  .button.is-fullwidth {
+    display: flex;
+    width: 100%; }
+  .button.is-loading {
+    color: transparent !important;
+    pointer-events: none; }
+    .button.is-loading::after {
+      position: absolute;
+      left: calc(50% - (1em / 2));
+      top: calc(50% - (1em / 2));
+      position: absolute !important; }
+  .button.is-static {
+    background-color: whitesmoke;
+    border-color: #dbdbdb;
+    color: #6b6b6b;
+    box-shadow: none;
+    pointer-events: none; }
+  .button.is-rounded, #documenter .docs-sidebar form.docs-search > input.button {
+    border-radius: 290486px;
+    padding-left: 1em;
+    padding-right: 1em; }
+
+.buttons {
+  align-items: center;
+  display: flex;
+  flex-wrap: wrap;
+  justify-content: flex-start; }
+  .buttons .button {
+    margin-bottom: 0.5rem; }
+    .buttons .button:not(:last-child):not(.is-fullwidth) {
+      margin-right: 0.5rem; }
+  .buttons:last-child {
+    margin-bottom: -0.5rem; }
+  .buttons:not(:last-child) {
+    margin-bottom: 1rem; }
+  .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large) {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large) {
+    font-size: 1.25rem; }
+  .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium) {
+    font-size: 1.5rem; }
+  .buttons.has-addons .button:not(:first-child) {
+    border-bottom-left-radius: 0;
+    border-top-left-radius: 0; }
+  .buttons.has-addons .button:not(:last-child) {
+    border-bottom-right-radius: 0;
+    border-top-right-radius: 0;
+    margin-right: -1px; }
+  .buttons.has-addons .button:last-child {
+    margin-right: 0; }
+  .buttons.has-addons .button:hover, .buttons.has-addons .button.is-hovered {
+    z-index: 2; }
+  .buttons.has-addons .button:focus, .buttons.has-addons .button.is-focused, .buttons.has-addons .button:active, .buttons.has-addons .button.is-active, .buttons.has-addons .button.is-selected {
+    z-index: 3; }
+    .buttons.has-addons .button:focus:hover, .buttons.has-addons .button.is-focused:hover, .buttons.has-addons .button:active:hover, .buttons.has-addons .button.is-active:hover, .buttons.has-addons .button.is-selected:hover {
+      z-index: 4; }
+  .buttons.has-addons .button.is-expanded {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .buttons.is-centered {
+    justify-content: center; }
+    .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth) {
+      margin-left: 0.25rem;
+      margin-right: 0.25rem; }
+  .buttons.is-right {
+    justify-content: flex-end; }
+    .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth) {
+      margin-left: 0.25rem;
+      margin-right: 0.25rem; }
+
+.container {
+  flex-grow: 1;
+  margin: 0 auto;
+  position: relative;
+  width: auto; }
+  @media screen and (min-width: 1056px) {
+    .container {
+      max-width: 992px; }
+      .container.is-fluid {
+        margin-left: 32px;
+        margin-right: 32px;
+        max-width: none; } }
+  @media screen and (max-width: 1215px) {
+    .container.is-widescreen {
+      max-width: 1152px; } }
+  @media screen and (max-width: 1407px) {
+    .container.is-fullhd {
+      max-width: 1344px; } }
+  @media screen and (min-width: 1216px) {
+    .container {
+      max-width: 1152px; } }
+  @media screen and (min-width: 1408px) {
+    .container {
+      max-width: 1344px; } }
+.content li + li {
+  margin-top: 0.25em; }
+
+.content p:not(:last-child),
+.content dl:not(:last-child),
+.content ol:not(:last-child),
+.content ul:not(:last-child),
+.content blockquote:not(:last-child),
+.content pre:not(:last-child),
+.content table:not(:last-child) {
+  margin-bottom: 1em; }
+
+.content h1,
+.content h2,
+.content h3,
+.content h4,
+.content h5,
+.content h6 {
+  color: #222222;
+  font-weight: 600;
+  line-height: 1.125; }
+
+.content h1 {
+  font-size: 2em;
+  margin-bottom: 0.5em; }
+  .content h1:not(:first-child) {
+    margin-top: 1em; }
+
+.content h2 {
+  font-size: 1.75em;
+  margin-bottom: 0.5714em; }
+  .content h2:not(:first-child) {
+    margin-top: 1.1428em; }
+
+.content h3 {
+  font-size: 1.5em;
+  margin-bottom: 0.6666em; }
+  .content h3:not(:first-child) {
+    margin-top: 1.3333em; }
+
+.content h4 {
+  font-size: 1.25em;
+  margin-bottom: 0.8em; }
+
+.content h5 {
+  font-size: 1.125em;
+  margin-bottom: 0.8888em; }
+
+.content h6 {
+  font-size: 1em;
+  margin-bottom: 1em; }
+
+.content blockquote {
+  background-color: whitesmoke;
+  border-left: 5px solid #dbdbdb;
+  padding: 1.25em 1.5em; }
+
+.content ol {
+  list-style-position: outside;
+  margin-left: 2em;
+  margin-top: 1em; }
+  .content ol:not([type]) {
+    list-style-type: decimal; }
+    .content ol.is-lower-alpha:not([type]) {
+      list-style-type: lower-alpha; }
+    .content ol.is-lower-roman:not([type]) {
+      list-style-type: lower-roman; }
+    .content ol.is-upper-alpha:not([type]) {
+      list-style-type: upper-alpha; }
+    .content ol.is-upper-roman:not([type]) {
+      list-style-type: upper-roman; }
+
+.content ul {
+  list-style: disc outside;
+  margin-left: 2em;
+  margin-top: 1em; }
+  .content ul ul {
+    list-style-type: circle;
+    margin-top: 0.5em; }
+    .content ul ul ul {
+      list-style-type: square; }
+
+.content dd {
+  margin-left: 2em; }
+
+.content figure {
+  margin-left: 2em;
+  margin-right: 2em;
+  text-align: center; }
+  .content figure:not(:first-child) {
+    margin-top: 2em; }
+  .content figure:not(:last-child) {
+    margin-bottom: 2em; }
+  .content figure img {
+    display: inline-block; }
+  .content figure figcaption {
+    font-style: italic; }
+
+.content pre {
+  -webkit-overflow-scrolling: touch;
+  overflow-x: auto;
+  padding: 0;
+  white-space: pre;
+  word-wrap: normal; }
+
+.content sup,
+.content sub {
+  font-size: 75%; }
+
+.content table {
+  width: 100%; }
+  .content table td,
+  .content table th {
+    border: 1px solid #dbdbdb;
+    border-width: 0 0 1px;
+    padding: 0.5em 0.75em;
+    vertical-align: top; }
+  .content table th {
+    color: #222222; }
+    .content table th:not([align]) {
+      text-align: left; }
+  .content table thead td,
+  .content table thead th {
+    border-width: 0 0 2px;
+    color: #222222; }
+  .content table tfoot td,
+  .content table tfoot th {
+    border-width: 2px 0 0;
+    color: #222222; }
+  .content table tbody tr:last-child td,
+  .content table tbody tr:last-child th {
+    border-bottom-width: 0; }
+
+.content .tabs li + li {
+  margin-top: 0; }
+
+.content.is-small, #documenter .docs-sidebar form.docs-search > input.content {
+  font-size: 0.75rem; }
+
+.content.is-medium {
+  font-size: 1.25rem; }
+
+.content.is-large {
+  font-size: 1.5rem; }
+
+.icon {
+  align-items: center;
+  display: inline-flex;
+  justify-content: center;
+  height: 1.5rem;
+  width: 1.5rem; }
+  .icon.is-small, #documenter .docs-sidebar form.docs-search > input.icon {
+    height: 1rem;
+    width: 1rem; }
+  .icon.is-medium {
+    height: 2rem;
+    width: 2rem; }
+  .icon.is-large {
+    height: 3rem;
+    width: 3rem; }
+
+.image, #documenter .docs-sidebar .docs-logo > img {
+  display: block;
+  position: relative; }
+  .image img, #documenter .docs-sidebar .docs-logo > img img {
+    display: block;
+    height: auto;
+    width: 100%; }
+    .image img.is-rounded, #documenter .docs-sidebar .docs-logo > img img.is-rounded {
+      border-radius: 290486px; }
+  .image.is-square img, #documenter .docs-sidebar .docs-logo > img.is-square img,
+  .image.is-square .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, .image.is-1by1 img, #documenter .docs-sidebar .docs-logo > img.is-1by1 img,
+  .image.is-1by1 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, .image.is-5by4 img, #documenter .docs-sidebar .docs-logo > img.is-5by4 img,
+  .image.is-5by4 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, .image.is-4by3 img, #documenter .docs-sidebar .docs-logo > img.is-4by3 img,
+  .image.is-4by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, .image.is-3by2 img, #documenter .docs-sidebar .docs-logo > img.is-3by2 img,
+  .image.is-3by2 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, .image.is-5by3 img, #documenter .docs-sidebar .docs-logo > img.is-5by3 img,
+  .image.is-5by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, .image.is-16by9 img, #documenter .docs-sidebar .docs-logo > img.is-16by9 img,
+  .image.is-16by9 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, .image.is-2by1 img, #documenter .docs-sidebar .docs-logo > img.is-2by1 img,
+  .image.is-2by1 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, .image.is-3by1 img, #documenter .docs-sidebar .docs-logo > img.is-3by1 img,
+  .image.is-3by1 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, .image.is-4by5 img, #documenter .docs-sidebar .docs-logo > img.is-4by5 img,
+  .image.is-4by5 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, .image.is-3by4 img, #documenter .docs-sidebar .docs-logo > img.is-3by4 img,
+  .image.is-3by4 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, .image.is-2by3 img, #documenter .docs-sidebar .docs-logo > img.is-2by3 img,
+  .image.is-2by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, .image.is-3by5 img, #documenter .docs-sidebar .docs-logo > img.is-3by5 img,
+  .image.is-3by5 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, .image.is-9by16 img, #documenter .docs-sidebar .docs-logo > img.is-9by16 img,
+  .image.is-9by16 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, .image.is-1by2 img, #documenter .docs-sidebar .docs-logo > img.is-1by2 img,
+  .image.is-1by2 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, .image.is-1by3 img, #documenter .docs-sidebar .docs-logo > img.is-1by3 img,
+  .image.is-1by3 .has-ratio,
+  #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio {
+    height: 100%;
+    width: 100%; }
+  .image.is-square, #documenter .docs-sidebar .docs-logo > img.is-square, .image.is-1by1, #documenter .docs-sidebar .docs-logo > img.is-1by1 {
+    padding-top: 100%; }
+  .image.is-5by4, #documenter .docs-sidebar .docs-logo > img.is-5by4 {
+    padding-top: 80%; }
+  .image.is-4by3, #documenter .docs-sidebar .docs-logo > img.is-4by3 {
+    padding-top: 75%; }
+  .image.is-3by2, #documenter .docs-sidebar .docs-logo > img.is-3by2 {
+    padding-top: 66.6666%; }
+  .image.is-5by3, #documenter .docs-sidebar .docs-logo > img.is-5by3 {
+    padding-top: 60%; }
+  .image.is-16by9, #documenter .docs-sidebar .docs-logo > img.is-16by9 {
+    padding-top: 56.25%; }
+  .image.is-2by1, #documenter .docs-sidebar .docs-logo > img.is-2by1 {
+    padding-top: 50%; }
+  .image.is-3by1, #documenter .docs-sidebar .docs-logo > img.is-3by1 {
+    padding-top: 33.3333%; }
+  .image.is-4by5, #documenter .docs-sidebar .docs-logo > img.is-4by5 {
+    padding-top: 125%; }
+  .image.is-3by4, #documenter .docs-sidebar .docs-logo > img.is-3by4 {
+    padding-top: 133.3333%; }
+  .image.is-2by3, #documenter .docs-sidebar .docs-logo > img.is-2by3 {
+    padding-top: 150%; }
+  .image.is-3by5, #documenter .docs-sidebar .docs-logo > img.is-3by5 {
+    padding-top: 166.6666%; }
+  .image.is-9by16, #documenter .docs-sidebar .docs-logo > img.is-9by16 {
+    padding-top: 177.7777%; }
+  .image.is-1by2, #documenter .docs-sidebar .docs-logo > img.is-1by2 {
+    padding-top: 200%; }
+  .image.is-1by3, #documenter .docs-sidebar .docs-logo > img.is-1by3 {
+    padding-top: 300%; }
+  .image.is-16x16, #documenter .docs-sidebar .docs-logo > img.is-16x16 {
+    height: 16px;
+    width: 16px; }
+  .image.is-24x24, #documenter .docs-sidebar .docs-logo > img.is-24x24 {
+    height: 24px;
+    width: 24px; }
+  .image.is-32x32, #documenter .docs-sidebar .docs-logo > img.is-32x32 {
+    height: 32px;
+    width: 32px; }
+  .image.is-48x48, #documenter .docs-sidebar .docs-logo > img.is-48x48 {
+    height: 48px;
+    width: 48px; }
+  .image.is-64x64, #documenter .docs-sidebar .docs-logo > img.is-64x64 {
+    height: 64px;
+    width: 64px; }
+  .image.is-96x96, #documenter .docs-sidebar .docs-logo > img.is-96x96 {
+    height: 96px;
+    width: 96px; }
+  .image.is-128x128, #documenter .docs-sidebar .docs-logo > img.is-128x128 {
+    height: 128px;
+    width: 128px; }
+
+.notification {
+  background-color: whitesmoke;
+  border-radius: 4px;
+  padding: 1.25rem 2.5rem 1.25rem 1.5rem;
+  position: relative; }
+  .notification a:not(.button):not(.dropdown-item) {
+    color: currentColor;
+    text-decoration: underline; }
+  .notification strong {
+    color: currentColor; }
+  .notification code,
+  .notification pre {
+    background: white; }
+  .notification pre code {
+    background: transparent; }
+  .notification > .delete {
+    position: absolute;
+    right: 0.5rem;
+    top: 0.5rem; }
+  .notification .title,
+  .notification .subtitle,
+  .notification .content {
+    color: currentColor; }
+  .notification.is-white {
+    background-color: white;
+    color: #0a0a0a; }
+  .notification.is-black {
+    background-color: #0a0a0a;
+    color: white; }
+  .notification.is-light {
+    background-color: whitesmoke;
+    color: #363636; }
+  .notification.is-dark, .content kbd.notification {
+    background-color: #363636;
+    color: whitesmoke; }
+  .notification.is-primary, .docstring > section > a.notification.docs-sourcelink {
+    background-color: #4eb5de;
+    color: #fff; }
+  .notification.is-link {
+    background-color: #2e63b8;
+    color: #fff; }
+  .notification.is-info {
+    background-color: #209cee;
+    color: #fff; }
+  .notification.is-success {
+    background-color: #22c35b;
+    color: #fff; }
+  .notification.is-warning {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+  .notification.is-danger {
+    background-color: #da0b00;
+    color: #fff; }
+
+.progress {
+  -moz-appearance: none;
+  -webkit-appearance: none;
+  border: none;
+  border-radius: 290486px;
+  display: block;
+  height: 1rem;
+  overflow: hidden;
+  padding: 0;
+  width: 100%; }
+  .progress::-webkit-progress-bar {
+    background-color: #dbdbdb; }
+  .progress::-webkit-progress-value {
+    background-color: #222222; }
+  .progress::-moz-progress-bar {
+    background-color: #222222; }
+  .progress::-ms-fill {
+    background-color: #222222;
+    border: none; }
+  .progress.is-white::-webkit-progress-value {
+    background-color: white; }
+  .progress.is-white::-moz-progress-bar {
+    background-color: white; }
+  .progress.is-white::-ms-fill {
+    background-color: white; }
+  .progress.is-white:indeterminate {
+    background-image: linear-gradient(to right, white 30%, #dbdbdb 30%); }
+  .progress.is-black::-webkit-progress-value {
+    background-color: #0a0a0a; }
+  .progress.is-black::-moz-progress-bar {
+    background-color: #0a0a0a; }
+  .progress.is-black::-ms-fill {
+    background-color: #0a0a0a; }
+  .progress.is-black:indeterminate {
+    background-image: linear-gradient(to right, #0a0a0a 30%, #dbdbdb 30%); }
+  .progress.is-light::-webkit-progress-value {
+    background-color: whitesmoke; }
+  .progress.is-light::-moz-progress-bar {
+    background-color: whitesmoke; }
+  .progress.is-light::-ms-fill {
+    background-color: whitesmoke; }
+  .progress.is-light:indeterminate {
+    background-image: linear-gradient(to right, whitesmoke 30%, #dbdbdb 30%); }
+  .progress.is-dark::-webkit-progress-value, .content kbd.progress::-webkit-progress-value {
+    background-color: #363636; }
+  .progress.is-dark::-moz-progress-bar, .content kbd.progress::-moz-progress-bar {
+    background-color: #363636; }
+  .progress.is-dark::-ms-fill, .content kbd.progress::-ms-fill {
+    background-color: #363636; }
+  .progress.is-dark:indeterminate, .content kbd.progress:indeterminate {
+    background-image: linear-gradient(to right, #363636 30%, #dbdbdb 30%); }
+  .progress.is-primary::-webkit-progress-value, .docstring > section > a.progress.docs-sourcelink::-webkit-progress-value {
+    background-color: #4eb5de; }
+  .progress.is-primary::-moz-progress-bar, .docstring > section > a.progress.docs-sourcelink::-moz-progress-bar {
+    background-color: #4eb5de; }
+  .progress.is-primary::-ms-fill, .docstring > section > a.progress.docs-sourcelink::-ms-fill {
+    background-color: #4eb5de; }
+  .progress.is-primary:indeterminate, .docstring > section > a.progress.docs-sourcelink:indeterminate {
+    background-image: linear-gradient(to right, #4eb5de 30%, #dbdbdb 30%); }
+  .progress.is-link::-webkit-progress-value {
+    background-color: #2e63b8; }
+  .progress.is-link::-moz-progress-bar {
+    background-color: #2e63b8; }
+  .progress.is-link::-ms-fill {
+    background-color: #2e63b8; }
+  .progress.is-link:indeterminate {
+    background-image: linear-gradient(to right, #2e63b8 30%, #dbdbdb 30%); }
+  .progress.is-info::-webkit-progress-value {
+    background-color: #209cee; }
+  .progress.is-info::-moz-progress-bar {
+    background-color: #209cee; }
+  .progress.is-info::-ms-fill {
+    background-color: #209cee; }
+  .progress.is-info:indeterminate {
+    background-image: linear-gradient(to right, #209cee 30%, #dbdbdb 30%); }
+  .progress.is-success::-webkit-progress-value {
+    background-color: #22c35b; }
+  .progress.is-success::-moz-progress-bar {
+    background-color: #22c35b; }
+  .progress.is-success::-ms-fill {
+    background-color: #22c35b; }
+  .progress.is-success:indeterminate {
+    background-image: linear-gradient(to right, #22c35b 30%, #dbdbdb 30%); }
+  .progress.is-warning::-webkit-progress-value {
+    background-color: #ffdd57; }
+  .progress.is-warning::-moz-progress-bar {
+    background-color: #ffdd57; }
+  .progress.is-warning::-ms-fill {
+    background-color: #ffdd57; }
+  .progress.is-warning:indeterminate {
+    background-image: linear-gradient(to right, #ffdd57 30%, #dbdbdb 30%); }
+  .progress.is-danger::-webkit-progress-value {
+    background-color: #da0b00; }
+  .progress.is-danger::-moz-progress-bar {
+    background-color: #da0b00; }
+  .progress.is-danger::-ms-fill {
+    background-color: #da0b00; }
+  .progress.is-danger:indeterminate {
+    background-image: linear-gradient(to right, #da0b00 30%, #dbdbdb 30%); }
+  .progress:indeterminate {
+    animation-duration: 1.5s;
+    animation-iteration-count: infinite;
+    animation-name: moveIndeterminate;
+    animation-timing-function: linear;
+    background-color: #dbdbdb;
+    background-image: linear-gradient(to right, #222222 30%, #dbdbdb 30%);
+    background-position: top left;
+    background-repeat: no-repeat;
+    background-size: 150% 150%; }
+    .progress:indeterminate::-webkit-progress-bar {
+      background-color: transparent; }
+    .progress:indeterminate::-moz-progress-bar {
+      background-color: transparent; }
+  .progress.is-small, #documenter .docs-sidebar form.docs-search > input.progress {
+    height: 0.75rem; }
+  .progress.is-medium {
+    height: 1.25rem; }
+  .progress.is-large {
+    height: 1.5rem; }
+
+@keyframes moveIndeterminate {
+  from {
+    background-position: 200% 0; }
+  to {
+    background-position: -200% 0; } }
+
+.table {
+  background-color: white;
+  color: #363636; }
+  .table td,
+  .table th {
+    border: 1px solid #dbdbdb;
+    border-width: 0 0 1px;
+    padding: 0.5em 0.75em;
+    vertical-align: top; }
+    .table td.is-white,
+    .table th.is-white {
+      background-color: white;
+      border-color: white;
+      color: #0a0a0a; }
+    .table td.is-black,
+    .table th.is-black {
+      background-color: #0a0a0a;
+      border-color: #0a0a0a;
+      color: white; }
+    .table td.is-light,
+    .table th.is-light {
+      background-color: whitesmoke;
+      border-color: whitesmoke;
+      color: #363636; }
+    .table td.is-dark,
+    .table th.is-dark {
+      background-color: #363636;
+      border-color: #363636;
+      color: whitesmoke; }
+    .table td.is-primary,
+    .table th.is-primary {
+      background-color: #4eb5de;
+      border-color: #4eb5de;
+      color: #fff; }
+    .table td.is-link,
+    .table th.is-link {
+      background-color: #2e63b8;
+      border-color: #2e63b8;
+      color: #fff; }
+    .table td.is-info,
+    .table th.is-info {
+      background-color: #209cee;
+      border-color: #209cee;
+      color: #fff; }
+    .table td.is-success,
+    .table th.is-success {
+      background-color: #22c35b;
+      border-color: #22c35b;
+      color: #fff; }
+    .table td.is-warning,
+    .table th.is-warning {
+      background-color: #ffdd57;
+      border-color: #ffdd57;
+      color: rgba(0, 0, 0, 0.7); }
+    .table td.is-danger,
+    .table th.is-danger {
+      background-color: #da0b00;
+      border-color: #da0b00;
+      color: #fff; }
+    .table td.is-narrow,
+    .table th.is-narrow {
+      white-space: nowrap;
+      width: 1%; }
+    .table td.is-selected,
+    .table th.is-selected {
+      background-color: #4eb5de;
+      color: #fff; }
+      .table td.is-selected a,
+      .table td.is-selected strong,
+      .table th.is-selected a,
+      .table th.is-selected strong {
+        color: currentColor; }
+  .table th {
+    color: #222222; }
+    .table th:not([align]) {
+      text-align: left; }
+  .table tr.is-selected {
+    background-color: #4eb5de;
+    color: #fff; }
+    .table tr.is-selected a,
+    .table tr.is-selected strong {
+      color: currentColor; }
+    .table tr.is-selected td,
+    .table tr.is-selected th {
+      border-color: #fff;
+      color: currentColor; }
+  .table thead {
+    background-color: transparent; }
+    .table thead td,
+    .table thead th {
+      border-width: 0 0 2px;
+      color: #222222; }
+  .table tfoot {
+    background-color: transparent; }
+    .table tfoot td,
+    .table tfoot th {
+      border-width: 2px 0 0;
+      color: #222222; }
+  .table tbody {
+    background-color: transparent; }
+    .table tbody tr:last-child td,
+    .table tbody tr:last-child th {
+      border-bottom-width: 0; }
+  .table.is-bordered td,
+  .table.is-bordered th {
+    border-width: 1px; }
+  .table.is-bordered tr:last-child td,
+  .table.is-bordered tr:last-child th {
+    border-bottom-width: 1px; }
+  .table.is-fullwidth {
+    width: 100%; }
+  .table.is-hoverable tbody tr:not(.is-selected):hover {
+    background-color: #fafafa; }
+  .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover {
+    background-color: #fafafa; }
+    .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover:nth-child(even) {
+      background-color: whitesmoke; }
+  .table.is-narrow td,
+  .table.is-narrow th {
+    padding: 0.25em 0.5em; }
+  .table.is-striped tbody tr:not(.is-selected):nth-child(even) {
+    background-color: #fafafa; }
+
+.table-container {
+  -webkit-overflow-scrolling: touch;
+  overflow: auto;
+  overflow-y: hidden;
+  max-width: 100%; }
+
+.tags {
+  align-items: center;
+  display: flex;
+  flex-wrap: wrap;
+  justify-content: flex-start; }
+  .tags .tag, .tags .content kbd, .content .tags kbd, .tags .docstring > section > a.docs-sourcelink {
+    margin-bottom: 0.5rem; }
+    .tags .tag:not(:last-child), .tags .content kbd:not(:last-child), .content .tags kbd:not(:last-child), .tags .docstring > section > a.docs-sourcelink:not(:last-child) {
+      margin-right: 0.5rem; }
+  .tags:last-child {
+    margin-bottom: -0.5rem; }
+  .tags:not(:last-child) {
+    margin-bottom: 1rem; }
+  .tags.are-medium .tag:not(.is-normal):not(.is-large), .tags.are-medium .content kbd:not(.is-normal):not(.is-large), .content .tags.are-medium kbd:not(.is-normal):not(.is-large), .tags.are-medium .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-large) {
+    font-size: 1rem; }
+  .tags.are-large .tag:not(.is-normal):not(.is-medium), .tags.are-large .content kbd:not(.is-normal):not(.is-medium), .content .tags.are-large kbd:not(.is-normal):not(.is-medium), .tags.are-large .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-medium) {
+    font-size: 1.25rem; }
+  .tags.is-centered {
+    justify-content: center; }
+    .tags.is-centered .tag, .tags.is-centered .content kbd, .content .tags.is-centered kbd, .tags.is-centered .docstring > section > a.docs-sourcelink {
+      margin-right: 0.25rem;
+      margin-left: 0.25rem; }
+  .tags.is-right {
+    justify-content: flex-end; }
+    .tags.is-right .tag:not(:first-child), .tags.is-right .content kbd:not(:first-child), .content .tags.is-right kbd:not(:first-child), .tags.is-right .docstring > section > a.docs-sourcelink:not(:first-child) {
+      margin-left: 0.5rem; }
+    .tags.is-right .tag:not(:last-child), .tags.is-right .content kbd:not(:last-child), .content .tags.is-right kbd:not(:last-child), .tags.is-right .docstring > section > a.docs-sourcelink:not(:last-child) {
+      margin-right: 0; }
+  .tags.has-addons .tag, .tags.has-addons .content kbd, .content .tags.has-addons kbd, .tags.has-addons .docstring > section > a.docs-sourcelink {
+    margin-right: 0; }
+    .tags.has-addons .tag:not(:first-child), .tags.has-addons .content kbd:not(:first-child), .content .tags.has-addons kbd:not(:first-child), .tags.has-addons .docstring > section > a.docs-sourcelink:not(:first-child) {
+      margin-left: 0;
+      border-bottom-left-radius: 0;
+      border-top-left-radius: 0; }
+    .tags.has-addons .tag:not(:last-child), .tags.has-addons .content kbd:not(:last-child), .content .tags.has-addons kbd:not(:last-child), .tags.has-addons .docstring > section > a.docs-sourcelink:not(:last-child) {
+      border-bottom-right-radius: 0;
+      border-top-right-radius: 0; }
+
+.tag:not(body), .content kbd:not(body), .docstring > section > a.docs-sourcelink:not(body) {
+  align-items: center;
+  background-color: whitesmoke;
+  border-radius: 4px;
+  color: #222222;
+  display: inline-flex;
+  font-size: 0.75rem;
+  height: 2em;
+  justify-content: center;
+  line-height: 1.5;
+  padding-left: 0.75em;
+  padding-right: 0.75em;
+  white-space: nowrap; }
+  .tag:not(body) .delete, .content kbd:not(body) .delete, .docstring > section > a.docs-sourcelink:not(body) .delete {
+    margin-left: 0.25rem;
+    margin-right: -0.375rem; }
+  .tag.is-white:not(body), .content kbd.is-white:not(body), .docstring > section > a.docs-sourcelink.is-white:not(body) {
+    background-color: white;
+    color: #0a0a0a; }
+  .tag.is-black:not(body), .content kbd.is-black:not(body), .docstring > section > a.docs-sourcelink.is-black:not(body) {
+    background-color: #0a0a0a;
+    color: white; }
+  .tag.is-light:not(body), .content kbd.is-light:not(body), .docstring > section > a.docs-sourcelink.is-light:not(body) {
+    background-color: whitesmoke;
+    color: #363636; }
+  .tag.is-dark:not(body), .content kbd:not(body), .docstring > section > a.docs-sourcelink.is-dark:not(body), .content .docstring > section > kbd:not(body) {
+    background-color: #363636;
+    color: whitesmoke; }
+  .tag.is-primary:not(body), .content kbd.is-primary:not(body), .docstring > section > a.docs-sourcelink:not(body) {
+    background-color: #4eb5de;
+    color: #fff; }
+  .tag.is-link:not(body), .content kbd.is-link:not(body), .docstring > section > a.docs-sourcelink.is-link:not(body) {
+    background-color: #2e63b8;
+    color: #fff; }
+  .tag.is-info:not(body), .content kbd.is-info:not(body), .docstring > section > a.docs-sourcelink.is-info:not(body) {
+    background-color: #209cee;
+    color: #fff; }
+  .tag.is-success:not(body), .content kbd.is-success:not(body), .docstring > section > a.docs-sourcelink.is-success:not(body) {
+    background-color: #22c35b;
+    color: #fff; }
+  .tag.is-warning:not(body), .content kbd.is-warning:not(body), .docstring > section > a.docs-sourcelink.is-warning:not(body) {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+  .tag.is-danger:not(body), .content kbd.is-danger:not(body), .docstring > section > a.docs-sourcelink.is-danger:not(body) {
+    background-color: #da0b00;
+    color: #fff; }
+  .tag.is-normal:not(body), .content kbd.is-normal:not(body), .docstring > section > a.docs-sourcelink.is-normal:not(body) {
+    font-size: 0.75rem; }
+  .tag.is-medium:not(body), .content kbd.is-medium:not(body), .docstring > section > a.docs-sourcelink.is-medium:not(body) {
+    font-size: 1rem; }
+  .tag.is-large:not(body), .content kbd.is-large:not(body), .docstring > section > a.docs-sourcelink.is-large:not(body) {
+    font-size: 1.25rem; }
+  .tag:not(body) .icon:first-child:not(:last-child), .content kbd:not(body) .icon:first-child:not(:last-child), .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:not(:last-child) {
+    margin-left: -0.375em;
+    margin-right: 0.1875em; }
+  .tag:not(body) .icon:last-child:not(:first-child), .content kbd:not(body) .icon:last-child:not(:first-child), .docstring > section > a.docs-sourcelink:not(body) .icon:last-child:not(:first-child) {
+    margin-left: 0.1875em;
+    margin-right: -0.375em; }
+  .tag:not(body) .icon:first-child:last-child, .content kbd:not(body) .icon:first-child:last-child, .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:last-child {
+    margin-left: -0.375em;
+    margin-right: -0.375em; }
+  .tag.is-delete:not(body), .content kbd.is-delete:not(body), .docstring > section > a.docs-sourcelink.is-delete:not(body) {
+    margin-left: 1px;
+    padding: 0;
+    position: relative;
+    width: 2em; }
+    .tag.is-delete:not(body)::before, .content kbd.is-delete:not(body)::before, .docstring > section > a.docs-sourcelink.is-delete:not(body)::before, .tag.is-delete:not(body)::after, .content kbd.is-delete:not(body)::after, .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+      background-color: currentColor;
+      content: "";
+      display: block;
+      left: 50%;
+      position: absolute;
+      top: 50%;
+      transform: translateX(-50%) translateY(-50%) rotate(45deg);
+      transform-origin: center center; }
+    .tag.is-delete:not(body)::before, .content kbd.is-delete:not(body)::before, .docstring > section > a.docs-sourcelink.is-delete:not(body)::before {
+      height: 1px;
+      width: 50%; }
+    .tag.is-delete:not(body)::after, .content kbd.is-delete:not(body)::after, .docstring > section > a.docs-sourcelink.is-delete:not(body)::after {
+      height: 50%;
+      width: 1px; }
+    .tag.is-delete:not(body):hover, .content kbd.is-delete:not(body):hover, .docstring > section > a.docs-sourcelink.is-delete:not(body):hover, .tag.is-delete:not(body):focus, .content kbd.is-delete:not(body):focus, .docstring > section > a.docs-sourcelink.is-delete:not(body):focus {
+      background-color: #e8e8e8; }
+    .tag.is-delete:not(body):active, .content kbd.is-delete:not(body):active, .docstring > section > a.docs-sourcelink.is-delete:not(body):active {
+      background-color: #dbdbdb; }
+  .tag.is-rounded:not(body), #documenter .docs-sidebar form.docs-search > input:not(body), .content kbd.is-rounded:not(body), #documenter .docs-sidebar .content form.docs-search > input:not(body), .docstring > section > a.docs-sourcelink.is-rounded:not(body) {
+    border-radius: 290486px; }
+
+a.tag:hover, .docstring > section > a.docs-sourcelink:hover {
+  text-decoration: underline; }
+
+.title,
+.subtitle {
+  word-break: break-word; }
+  .title em,
+  .title span,
+  .subtitle em,
+  .subtitle span {
+    font-weight: inherit; }
+  .title sub,
+  .subtitle sub {
+    font-size: 0.75em; }
+  .title sup,
+  .subtitle sup {
+    font-size: 0.75em; }
+  .title .tag, .title .content kbd, .content .title kbd, .title .docstring > section > a.docs-sourcelink,
+  .subtitle .tag,
+  .subtitle .content kbd,
+  .content .subtitle kbd,
+  .subtitle .docstring > section > a.docs-sourcelink {
+    vertical-align: middle; }
+
+.title {
+  color: #363636;
+  font-size: 2rem;
+  font-weight: 600;
+  line-height: 1.125; }
+  .title strong {
+    color: inherit;
+    font-weight: inherit; }
+  .title + .highlight {
+    margin-top: -0.75rem; }
+  .title:not(.is-spaced) + .subtitle {
+    margin-top: -1.25rem; }
+  .title.is-1 {
+    font-size: 3rem; }
+  .title.is-2 {
+    font-size: 2.5rem; }
+  .title.is-3 {
+    font-size: 2rem; }
+  .title.is-4 {
+    font-size: 1.5rem; }
+  .title.is-5 {
+    font-size: 1.25rem; }
+  .title.is-6 {
+    font-size: 1rem; }
+  .title.is-7 {
+    font-size: 0.75rem; }
+
+.subtitle {
+  color: #4a4a4a;
+  font-size: 1.25rem;
+  font-weight: 400;
+  line-height: 1.25; }
+  .subtitle strong {
+    color: #363636;
+    font-weight: 600; }
+  .subtitle:not(.is-spaced) + .title {
+    margin-top: -1.25rem; }
+  .subtitle.is-1 {
+    font-size: 3rem; }
+  .subtitle.is-2 {
+    font-size: 2.5rem; }
+  .subtitle.is-3 {
+    font-size: 2rem; }
+  .subtitle.is-4 {
+    font-size: 1.5rem; }
+  .subtitle.is-5 {
+    font-size: 1.25rem; }
+  .subtitle.is-6 {
+    font-size: 1rem; }
+  .subtitle.is-7 {
+    font-size: 0.75rem; }
+
+.heading {
+  display: block;
+  font-size: 11px;
+  letter-spacing: 1px;
+  margin-bottom: 5px;
+  text-transform: uppercase; }
+
+.highlight {
+  font-weight: 400;
+  max-width: 100%;
+  overflow: hidden;
+  padding: 0; }
+  .highlight pre {
+    overflow: auto;
+    max-width: 100%; }
+
+.number {
+  align-items: center;
+  background-color: whitesmoke;
+  border-radius: 290486px;
+  display: inline-flex;
+  font-size: 1.25rem;
+  height: 2em;
+  justify-content: center;
+  margin-right: 1.5rem;
+  min-width: 2.5em;
+  padding: 0.25rem 0.5rem;
+  text-align: center;
+  vertical-align: top; }
+
+.select select, .textarea, .input, #documenter .docs-sidebar form.docs-search > input {
+  background-color: white;
+  border-color: #dbdbdb;
+  border-radius: 4px;
+  color: #363636; }
+  .select select::-moz-placeholder, .textarea::-moz-placeholder, .input::-moz-placeholder, #documenter .docs-sidebar form.docs-search > input::-moz-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select::-webkit-input-placeholder, .textarea::-webkit-input-placeholder, .input::-webkit-input-placeholder, #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select:-moz-placeholder, .textarea:-moz-placeholder, .input:-moz-placeholder, #documenter .docs-sidebar form.docs-search > input:-moz-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select:-ms-input-placeholder, .textarea:-ms-input-placeholder, .input:-ms-input-placeholder, #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder {
+    color: rgba(54, 54, 54, 0.3); }
+  .select select:hover, .textarea:hover, .input:hover, #documenter .docs-sidebar form.docs-search > input:hover, .select select.is-hovered, .is-hovered.textarea, .is-hovered.input, #documenter .docs-sidebar form.docs-search > input.is-hovered {
+    border-color: #b5b5b5; }
+  .select select:focus, .textarea:focus, .input:focus, #documenter .docs-sidebar form.docs-search > input:focus, .select select.is-focused, .is-focused.textarea, .is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .select select:active, .textarea:active, .input:active, #documenter .docs-sidebar form.docs-search > input:active, .select select.is-active, .is-active.textarea, .is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+    border-color: #2e63b8;
+    box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .select select[disabled], .textarea[disabled], .input[disabled], #documenter .docs-sidebar form.docs-search > input[disabled], fieldset[disabled] .select select, .select fieldset[disabled] select, fieldset[disabled] .textarea, fieldset[disabled] .input, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input {
+    background-color: whitesmoke;
+    border-color: whitesmoke;
+    box-shadow: none;
+    color: #6b6b6b; }
+    .select select[disabled]::-moz-placeholder, .textarea[disabled]::-moz-placeholder, .input[disabled]::-moz-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]::-moz-placeholder, fieldset[disabled] .select select::-moz-placeholder, .select fieldset[disabled] select::-moz-placeholder, fieldset[disabled] .textarea::-moz-placeholder, fieldset[disabled] .input::-moz-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input::-moz-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input::-moz-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+    .select select[disabled]::-webkit-input-placeholder, .textarea[disabled]::-webkit-input-placeholder, .input[disabled]::-webkit-input-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]::-webkit-input-placeholder, fieldset[disabled] .select select::-webkit-input-placeholder, .select fieldset[disabled] select::-webkit-input-placeholder, fieldset[disabled] .textarea::-webkit-input-placeholder, fieldset[disabled] .input::-webkit-input-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input::-webkit-input-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+    .select select[disabled]:-moz-placeholder, .textarea[disabled]:-moz-placeholder, .input[disabled]:-moz-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]:-moz-placeholder, fieldset[disabled] .select select:-moz-placeholder, .select fieldset[disabled] select:-moz-placeholder, fieldset[disabled] .textarea:-moz-placeholder, fieldset[disabled] .input:-moz-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input:-moz-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input:-moz-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+    .select select[disabled]:-ms-input-placeholder, .textarea[disabled]:-ms-input-placeholder, .input[disabled]:-ms-input-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]:-ms-input-placeholder, fieldset[disabled] .select select:-ms-input-placeholder, .select fieldset[disabled] select:-ms-input-placeholder, fieldset[disabled] .textarea:-ms-input-placeholder, fieldset[disabled] .input:-ms-input-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input:-ms-input-placeholder {
+      color: rgba(107, 107, 107, 0.3); }
+
+.textarea, .input, #documenter .docs-sidebar form.docs-search > input {
+  box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.1);
+  max-width: 100%;
+  width: 100%; }
+  .textarea[readonly], .input[readonly], #documenter .docs-sidebar form.docs-search > input[readonly] {
+    box-shadow: none; }
+  .is-white.textarea, .is-white.input, #documenter .docs-sidebar form.docs-search > input.is-white {
+    border-color: white; }
+    .is-white.textarea:focus, .is-white.input:focus, #documenter .docs-sidebar form.docs-search > input.is-white:focus, .is-white.is-focused.textarea, .is-white.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-white.textarea:active, .is-white.input:active, #documenter .docs-sidebar form.docs-search > input.is-white:active, .is-white.is-active.textarea, .is-white.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+  .is-black.textarea, .is-black.input, #documenter .docs-sidebar form.docs-search > input.is-black {
+    border-color: #0a0a0a; }
+    .is-black.textarea:focus, .is-black.input:focus, #documenter .docs-sidebar form.docs-search > input.is-black:focus, .is-black.is-focused.textarea, .is-black.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-black.textarea:active, .is-black.input:active, #documenter .docs-sidebar form.docs-search > input.is-black:active, .is-black.is-active.textarea, .is-black.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+  .is-light.textarea, .is-light.input, #documenter .docs-sidebar form.docs-search > input.is-light {
+    border-color: whitesmoke; }
+    .is-light.textarea:focus, .is-light.input:focus, #documenter .docs-sidebar form.docs-search > input.is-light:focus, .is-light.is-focused.textarea, .is-light.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-light.textarea:active, .is-light.input:active, #documenter .docs-sidebar form.docs-search > input.is-light:active, .is-light.is-active.textarea, .is-light.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); }
+  .is-dark.textarea, .content kbd.textarea, .is-dark.input, #documenter .docs-sidebar form.docs-search > input.is-dark, .content kbd.input {
+    border-color: #363636; }
+    .is-dark.textarea:focus, .content kbd.textarea:focus, .is-dark.input:focus, #documenter .docs-sidebar form.docs-search > input.is-dark:focus, .content kbd.input:focus, .is-dark.is-focused.textarea, .content kbd.is-focused.textarea, .is-dark.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .content kbd.is-focused.input, #documenter .docs-sidebar .content form.docs-search > input.is-focused, .is-dark.textarea:active, .content kbd.textarea:active, .is-dark.input:active, #documenter .docs-sidebar form.docs-search > input.is-dark:active, .content kbd.input:active, .is-dark.is-active.textarea, .content kbd.is-active.textarea, .is-dark.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .content kbd.is-active.input, #documenter .docs-sidebar .content form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); }
+  .is-primary.textarea, .docstring > section > a.textarea.docs-sourcelink, .is-primary.input, #documenter .docs-sidebar form.docs-search > input.is-primary, .docstring > section > a.input.docs-sourcelink {
+    border-color: #4eb5de; }
+    .is-primary.textarea:focus, .docstring > section > a.textarea.docs-sourcelink:focus, .is-primary.input:focus, #documenter .docs-sidebar form.docs-search > input.is-primary:focus, .docstring > section > a.input.docs-sourcelink:focus, .is-primary.is-focused.textarea, .docstring > section > a.is-focused.textarea.docs-sourcelink, .is-primary.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .docstring > section > a.is-focused.input.docs-sourcelink, .is-primary.textarea:active, .docstring > section > a.textarea.docs-sourcelink:active, .is-primary.input:active, #documenter .docs-sidebar form.docs-search > input.is-primary:active, .docstring > section > a.input.docs-sourcelink:active, .is-primary.is-active.textarea, .docstring > section > a.is-active.textarea.docs-sourcelink, .is-primary.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .docstring > section > a.is-active.input.docs-sourcelink {
+      box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); }
+  .is-link.textarea, .is-link.input, #documenter .docs-sidebar form.docs-search > input.is-link {
+    border-color: #2e63b8; }
+    .is-link.textarea:focus, .is-link.input:focus, #documenter .docs-sidebar form.docs-search > input.is-link:focus, .is-link.is-focused.textarea, .is-link.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-link.textarea:active, .is-link.input:active, #documenter .docs-sidebar form.docs-search > input.is-link:active, .is-link.is-active.textarea, .is-link.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .is-info.textarea, .is-info.input, #documenter .docs-sidebar form.docs-search > input.is-info {
+    border-color: #209cee; }
+    .is-info.textarea:focus, .is-info.input:focus, #documenter .docs-sidebar form.docs-search > input.is-info:focus, .is-info.is-focused.textarea, .is-info.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-info.textarea:active, .is-info.input:active, #documenter .docs-sidebar form.docs-search > input.is-info:active, .is-info.is-active.textarea, .is-info.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); }
+  .is-success.textarea, .is-success.input, #documenter .docs-sidebar form.docs-search > input.is-success {
+    border-color: #22c35b; }
+    .is-success.textarea:focus, .is-success.input:focus, #documenter .docs-sidebar form.docs-search > input.is-success:focus, .is-success.is-focused.textarea, .is-success.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-success.textarea:active, .is-success.input:active, #documenter .docs-sidebar form.docs-search > input.is-success:active, .is-success.is-active.textarea, .is-success.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); }
+  .is-warning.textarea, .is-warning.input, #documenter .docs-sidebar form.docs-search > input.is-warning {
+    border-color: #ffdd57; }
+    .is-warning.textarea:focus, .is-warning.input:focus, #documenter .docs-sidebar form.docs-search > input.is-warning:focus, .is-warning.is-focused.textarea, .is-warning.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-warning.textarea:active, .is-warning.input:active, #documenter .docs-sidebar form.docs-search > input.is-warning:active, .is-warning.is-active.textarea, .is-warning.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); }
+  .is-danger.textarea, .is-danger.input, #documenter .docs-sidebar form.docs-search > input.is-danger {
+    border-color: #da0b00; }
+    .is-danger.textarea:focus, .is-danger.input:focus, #documenter .docs-sidebar form.docs-search > input.is-danger:focus, .is-danger.is-focused.textarea, .is-danger.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-danger.textarea:active, .is-danger.input:active, #documenter .docs-sidebar form.docs-search > input.is-danger:active, .is-danger.is-active.textarea, .is-danger.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active {
+      box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); }
+  .is-small.textarea, .is-small.input, #documenter .docs-sidebar form.docs-search > input {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .is-medium.textarea, .is-medium.input, #documenter .docs-sidebar form.docs-search > input.is-medium {
+    font-size: 1.25rem; }
+  .is-large.textarea, .is-large.input, #documenter .docs-sidebar form.docs-search > input.is-large {
+    font-size: 1.5rem; }
+  .is-fullwidth.textarea, .is-fullwidth.input, #documenter .docs-sidebar form.docs-search > input.is-fullwidth {
+    display: block;
+    width: 100%; }
+  .is-inline.textarea, .is-inline.input, #documenter .docs-sidebar form.docs-search > input.is-inline {
+    display: inline;
+    width: auto; }
+
+.input.is-rounded, #documenter .docs-sidebar form.docs-search > input {
+  border-radius: 290486px;
+  padding-left: 1em;
+  padding-right: 1em; }
+
+.input.is-static, #documenter .docs-sidebar form.docs-search > input.is-static {
+  background-color: transparent;
+  border-color: transparent;
+  box-shadow: none;
+  padding-left: 0;
+  padding-right: 0; }
+
+.textarea {
+  display: block;
+  max-width: 100%;
+  min-width: 100%;
+  padding: 0.625em;
+  resize: vertical; }
+  .textarea:not([rows]) {
+    max-height: 600px;
+    min-height: 120px; }
+  .textarea[rows] {
+    height: initial; }
+  .textarea.has-fixed-size {
+    resize: none; }
+
+.radio, .checkbox {
+  cursor: pointer;
+  display: inline-block;
+  line-height: 1.25;
+  position: relative; }
+  .radio input, .checkbox input {
+    cursor: pointer; }
+  .radio:hover, .checkbox:hover {
+    color: #363636; }
+  .radio[disabled], .checkbox[disabled], fieldset[disabled] .radio, fieldset[disabled] .checkbox {
+    color: #6b6b6b;
+    cursor: not-allowed; }
+
+.radio + .radio {
+  margin-left: 0.5em; }
+
+.select {
+  display: inline-block;
+  max-width: 100%;
+  position: relative;
+  vertical-align: top; }
+  .select:not(.is-multiple) {
+    height: 2.25em; }
+  .select:not(.is-multiple):not(.is-loading)::after {
+    border-color: #2e63b8;
+    right: 1.125em;
+    z-index: 4; }
+  .select.is-rounded select, #documenter .docs-sidebar form.docs-search > input.select select {
+    border-radius: 290486px;
+    padding-left: 1em; }
+  .select select {
+    cursor: pointer;
+    display: block;
+    font-size: 1em;
+    max-width: 100%;
+    outline: none; }
+    .select select::-ms-expand {
+      display: none; }
+    .select select[disabled]:hover, fieldset[disabled] .select select:hover {
+      border-color: whitesmoke; }
+    .select select:not([multiple]) {
+      padding-right: 2.5em; }
+    .select select[multiple] {
+      height: auto;
+      padding: 0; }
+      .select select[multiple] option {
+        padding: 0.5em 1em; }
+  .select:not(.is-multiple):not(.is-loading):hover::after {
+    border-color: #363636; }
+  .select.is-white:not(:hover)::after {
+    border-color: white; }
+  .select.is-white select {
+    border-color: white; }
+    .select.is-white select:hover, .select.is-white select.is-hovered {
+      border-color: #f2f2f2; }
+    .select.is-white select:focus, .select.is-white select.is-focused, .select.is-white select:active, .select.is-white select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); }
+  .select.is-black:not(:hover)::after {
+    border-color: #0a0a0a; }
+  .select.is-black select {
+    border-color: #0a0a0a; }
+    .select.is-black select:hover, .select.is-black select.is-hovered {
+      border-color: black; }
+    .select.is-black select:focus, .select.is-black select.is-focused, .select.is-black select:active, .select.is-black select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); }
+  .select.is-light:not(:hover)::after {
+    border-color: whitesmoke; }
+  .select.is-light select {
+    border-color: whitesmoke; }
+    .select.is-light select:hover, .select.is-light select.is-hovered {
+      border-color: #e8e8e8; }
+    .select.is-light select:focus, .select.is-light select.is-focused, .select.is-light select:active, .select.is-light select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); }
+  .select.is-dark:not(:hover)::after, .content kbd.select:not(:hover)::after {
+    border-color: #363636; }
+  .select.is-dark select, .content kbd.select select {
+    border-color: #363636; }
+    .select.is-dark select:hover, .content kbd.select select:hover, .select.is-dark select.is-hovered, .content kbd.select select.is-hovered {
+      border-color: #292929; }
+    .select.is-dark select:focus, .content kbd.select select:focus, .select.is-dark select.is-focused, .content kbd.select select.is-focused, .select.is-dark select:active, .content kbd.select select:active, .select.is-dark select.is-active, .content kbd.select select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); }
+  .select.is-primary:not(:hover)::after, .docstring > section > a.select.docs-sourcelink:not(:hover)::after {
+    border-color: #4eb5de; }
+  .select.is-primary select, .docstring > section > a.select.docs-sourcelink select {
+    border-color: #4eb5de; }
+    .select.is-primary select:hover, .docstring > section > a.select.docs-sourcelink select:hover, .select.is-primary select.is-hovered, .docstring > section > a.select.docs-sourcelink select.is-hovered {
+      border-color: #39acda; }
+    .select.is-primary select:focus, .docstring > section > a.select.docs-sourcelink select:focus, .select.is-primary select.is-focused, .docstring > section > a.select.docs-sourcelink select.is-focused, .select.is-primary select:active, .docstring > section > a.select.docs-sourcelink select:active, .select.is-primary select.is-active, .docstring > section > a.select.docs-sourcelink select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); }
+  .select.is-link:not(:hover)::after {
+    border-color: #2e63b8; }
+  .select.is-link select {
+    border-color: #2e63b8; }
+    .select.is-link select:hover, .select.is-link select.is-hovered {
+      border-color: #2958a4; }
+    .select.is-link select:focus, .select.is-link select.is-focused, .select.is-link select:active, .select.is-link select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); }
+  .select.is-info:not(:hover)::after {
+    border-color: #209cee; }
+  .select.is-info select {
+    border-color: #209cee; }
+    .select.is-info select:hover, .select.is-info select.is-hovered {
+      border-color: #1190e3; }
+    .select.is-info select:focus, .select.is-info select.is-focused, .select.is-info select:active, .select.is-info select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); }
+  .select.is-success:not(:hover)::after {
+    border-color: #22c35b; }
+  .select.is-success select {
+    border-color: #22c35b; }
+    .select.is-success select:hover, .select.is-success select.is-hovered {
+      border-color: #1ead51; }
+    .select.is-success select:focus, .select.is-success select.is-focused, .select.is-success select:active, .select.is-success select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); }
+  .select.is-warning:not(:hover)::after {
+    border-color: #ffdd57; }
+  .select.is-warning select {
+    border-color: #ffdd57; }
+    .select.is-warning select:hover, .select.is-warning select.is-hovered {
+      border-color: #ffd83e; }
+    .select.is-warning select:focus, .select.is-warning select.is-focused, .select.is-warning select:active, .select.is-warning select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); }
+  .select.is-danger:not(:hover)::after {
+    border-color: #da0b00; }
+  .select.is-danger select {
+    border-color: #da0b00; }
+    .select.is-danger select:hover, .select.is-danger select.is-hovered {
+      border-color: #c10a00; }
+    .select.is-danger select:focus, .select.is-danger select.is-focused, .select.is-danger select:active, .select.is-danger select.is-active {
+      box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); }
+  .select.is-small, #documenter .docs-sidebar form.docs-search > input.select {
+    border-radius: 2px;
+    font-size: 0.75rem; }
+  .select.is-medium {
+    font-size: 1.25rem; }
+  .select.is-large {
+    font-size: 1.5rem; }
+  .select.is-disabled::after {
+    border-color: #6b6b6b; }
+  .select.is-fullwidth {
+    width: 100%; }
+    .select.is-fullwidth select {
+      width: 100%; }
+  .select.is-loading::after {
+    margin-top: 0;
+    position: absolute;
+    right: 0.625em;
+    top: 0.625em;
+    transform: none; }
+  .select.is-loading.is-small:after, #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+    font-size: 0.75rem; }
+  .select.is-loading.is-medium:after {
+    font-size: 1.25rem; }
+  .select.is-loading.is-large:after {
+    font-size: 1.5rem; }
+
+.file {
+  align-items: stretch;
+  display: flex;
+  justify-content: flex-start;
+  position: relative; }
+  .file.is-white .file-cta {
+    background-color: white;
+    border-color: transparent;
+    color: #0a0a0a; }
+  .file.is-white:hover .file-cta, .file.is-white.is-hovered .file-cta {
+    background-color: #f9f9f9;
+    border-color: transparent;
+    color: #0a0a0a; }
+  .file.is-white:focus .file-cta, .file.is-white.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(255, 255, 255, 0.25);
+    color: #0a0a0a; }
+  .file.is-white:active .file-cta, .file.is-white.is-active .file-cta {
+    background-color: #f2f2f2;
+    border-color: transparent;
+    color: #0a0a0a; }
+  .file.is-black .file-cta {
+    background-color: #0a0a0a;
+    border-color: transparent;
+    color: white; }
+  .file.is-black:hover .file-cta, .file.is-black.is-hovered .file-cta {
+    background-color: #040404;
+    border-color: transparent;
+    color: white; }
+  .file.is-black:focus .file-cta, .file.is-black.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(10, 10, 10, 0.25);
+    color: white; }
+  .file.is-black:active .file-cta, .file.is-black.is-active .file-cta {
+    background-color: black;
+    border-color: transparent;
+    color: white; }
+  .file.is-light .file-cta {
+    background-color: whitesmoke;
+    border-color: transparent;
+    color: #363636; }
+  .file.is-light:hover .file-cta, .file.is-light.is-hovered .file-cta {
+    background-color: #eeeeee;
+    border-color: transparent;
+    color: #363636; }
+  .file.is-light:focus .file-cta, .file.is-light.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(245, 245, 245, 0.25);
+    color: #363636; }
+  .file.is-light:active .file-cta, .file.is-light.is-active .file-cta {
+    background-color: #e8e8e8;
+    border-color: transparent;
+    color: #363636; }
+  .file.is-dark .file-cta, .content kbd.file .file-cta {
+    background-color: #363636;
+    border-color: transparent;
+    color: whitesmoke; }
+  .file.is-dark:hover .file-cta, .content kbd.file:hover .file-cta, .file.is-dark.is-hovered .file-cta, .content kbd.file.is-hovered .file-cta {
+    background-color: #2f2f2f;
+    border-color: transparent;
+    color: whitesmoke; }
+  .file.is-dark:focus .file-cta, .content kbd.file:focus .file-cta, .file.is-dark.is-focused .file-cta, .content kbd.file.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(54, 54, 54, 0.25);
+    color: whitesmoke; }
+  .file.is-dark:active .file-cta, .content kbd.file:active .file-cta, .file.is-dark.is-active .file-cta, .content kbd.file.is-active .file-cta {
+    background-color: #292929;
+    border-color: transparent;
+    color: whitesmoke; }
+  .file.is-primary .file-cta, .docstring > section > a.file.docs-sourcelink .file-cta {
+    background-color: #4eb5de;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-primary:hover .file-cta, .docstring > section > a.file.docs-sourcelink:hover .file-cta, .file.is-primary.is-hovered .file-cta, .docstring > section > a.file.is-hovered.docs-sourcelink .file-cta {
+    background-color: #43b1dc;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-primary:focus .file-cta, .docstring > section > a.file.docs-sourcelink:focus .file-cta, .file.is-primary.is-focused .file-cta, .docstring > section > a.file.is-focused.docs-sourcelink .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(78, 181, 222, 0.25);
+    color: #fff; }
+  .file.is-primary:active .file-cta, .docstring > section > a.file.docs-sourcelink:active .file-cta, .file.is-primary.is-active .file-cta, .docstring > section > a.file.is-active.docs-sourcelink .file-cta {
+    background-color: #39acda;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-link .file-cta {
+    background-color: #2e63b8;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-link:hover .file-cta, .file.is-link.is-hovered .file-cta {
+    background-color: #2b5eae;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-link:focus .file-cta, .file.is-link.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(46, 99, 184, 0.25);
+    color: #fff; }
+  .file.is-link:active .file-cta, .file.is-link.is-active .file-cta {
+    background-color: #2958a4;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-info .file-cta {
+    background-color: #209cee;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-info:hover .file-cta, .file.is-info.is-hovered .file-cta {
+    background-color: #1497ed;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-info:focus .file-cta, .file.is-info.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(32, 156, 238, 0.25);
+    color: #fff; }
+  .file.is-info:active .file-cta, .file.is-info.is-active .file-cta {
+    background-color: #1190e3;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-success .file-cta {
+    background-color: #22c35b;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-success:hover .file-cta, .file.is-success.is-hovered .file-cta {
+    background-color: #20b856;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-success:focus .file-cta, .file.is-success.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(34, 195, 91, 0.25);
+    color: #fff; }
+  .file.is-success:active .file-cta, .file.is-success.is-active .file-cta {
+    background-color: #1ead51;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-warning .file-cta {
+    background-color: #ffdd57;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-warning:hover .file-cta, .file.is-warning.is-hovered .file-cta {
+    background-color: #ffda4a;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-warning:focus .file-cta, .file.is-warning.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(255, 221, 87, 0.25);
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-warning:active .file-cta, .file.is-warning.is-active .file-cta {
+    background-color: #ffd83e;
+    border-color: transparent;
+    color: rgba(0, 0, 0, 0.7); }
+  .file.is-danger .file-cta {
+    background-color: #da0b00;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-danger:hover .file-cta, .file.is-danger.is-hovered .file-cta {
+    background-color: #cd0a00;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-danger:focus .file-cta, .file.is-danger.is-focused .file-cta {
+    border-color: transparent;
+    box-shadow: 0 0 0.5em rgba(218, 11, 0, 0.25);
+    color: #fff; }
+  .file.is-danger:active .file-cta, .file.is-danger.is-active .file-cta {
+    background-color: #c10a00;
+    border-color: transparent;
+    color: #fff; }
+  .file.is-small, #documenter .docs-sidebar form.docs-search > input.file {
+    font-size: 0.75rem; }
+  .file.is-medium {
+    font-size: 1.25rem; }
+    .file.is-medium .file-icon .fa {
+      font-size: 21px; }
+  .file.is-large {
+    font-size: 1.5rem; }
+    .file.is-large .file-icon .fa {
+      font-size: 28px; }
+  .file.has-name .file-cta {
+    border-bottom-right-radius: 0;
+    border-top-right-radius: 0; }
+  .file.has-name .file-name {
+    border-bottom-left-radius: 0;
+    border-top-left-radius: 0; }
+  .file.has-name.is-empty .file-cta {
+    border-radius: 4px; }
+  .file.has-name.is-empty .file-name {
+    display: none; }
+  .file.is-boxed .file-label {
+    flex-direction: column; }
+  .file.is-boxed .file-cta {
+    flex-direction: column;
+    height: auto;
+    padding: 1em 3em; }
+  .file.is-boxed .file-name {
+    border-width: 0 1px 1px; }
+  .file.is-boxed .file-icon {
+    height: 1.5em;
+    width: 1.5em; }
+    .file.is-boxed .file-icon .fa {
+      font-size: 21px; }
+  .file.is-boxed.is-small .file-icon .fa, #documenter .docs-sidebar form.docs-search > input.is-boxed .file-icon .fa {
+    font-size: 14px; }
+  .file.is-boxed.is-medium .file-icon .fa {
+    font-size: 28px; }
+  .file.is-boxed.is-large .file-icon .fa {
+    font-size: 35px; }
+  .file.is-boxed.has-name .file-cta {
+    border-radius: 4px 4px 0 0; }
+  .file.is-boxed.has-name .file-name {
+    border-radius: 0 0 4px 4px;
+    border-width: 0 1px 1px; }
+  .file.is-centered {
+    justify-content: center; }
+  .file.is-fullwidth .file-label {
+    width: 100%; }
+  .file.is-fullwidth .file-name {
+    flex-grow: 1;
+    max-width: none; }
+  .file.is-right {
+    justify-content: flex-end; }
+    .file.is-right .file-cta {
+      border-radius: 0 4px 4px 0; }
+    .file.is-right .file-name {
+      border-radius: 4px 0 0 4px;
+      border-width: 1px 0 1px 1px;
+      order: -1; }
+
+.file-label {
+  align-items: stretch;
+  display: flex;
+  cursor: pointer;
+  justify-content: flex-start;
+  overflow: hidden;
+  position: relative; }
+  .file-label:hover .file-cta {
+    background-color: #eeeeee;
+    color: #363636; }
+  .file-label:hover .file-name {
+    border-color: #d5d5d5; }
+  .file-label:active .file-cta {
+    background-color: #e8e8e8;
+    color: #363636; }
+  .file-label:active .file-name {
+    border-color: #cfcfcf; }
+
+.file-input {
+  height: 100%;
+  left: 0;
+  opacity: 0;
+  outline: none;
+  position: absolute;
+  top: 0;
+  width: 100%; }
+
+.file-cta,
+.file-name {
+  border-color: #dbdbdb;
+  border-radius: 4px;
+  font-size: 1em;
+  padding-left: 1em;
+  padding-right: 1em;
+  white-space: nowrap; }
+
+.file-cta {
+  background-color: whitesmoke;
+  color: #4a4a4a; }
+
+.file-name {
+  border-color: #dbdbdb;
+  border-style: solid;
+  border-width: 1px 1px 1px 0;
+  display: block;
+  max-width: 16em;
+  overflow: hidden;
+  text-align: left;
+  text-overflow: ellipsis; }
+
+.file-icon {
+  align-items: center;
+  display: flex;
+  height: 1em;
+  justify-content: center;
+  margin-right: 0.5em;
+  width: 1em; }
+  .file-icon .fa {
+    font-size: 14px; }
+
+.label {
+  color: #363636;
+  display: block;
+  font-size: 1rem;
+  font-weight: 700; }
+  .label:not(:last-child) {
+    margin-bottom: 0.5em; }
+  .label.is-small, #documenter .docs-sidebar form.docs-search > input.label {
+    font-size: 0.75rem; }
+  .label.is-medium {
+    font-size: 1.25rem; }
+  .label.is-large {
+    font-size: 1.5rem; }
+
+.help {
+  display: block;
+  font-size: 0.75rem;
+  margin-top: 0.25rem; }
+  .help.is-white {
+    color: white; }
+  .help.is-black {
+    color: #0a0a0a; }
+  .help.is-light {
+    color: whitesmoke; }
+  .help.is-dark, .content kbd.help {
+    color: #363636; }
+  .help.is-primary, .docstring > section > a.help.docs-sourcelink {
+    color: #4eb5de; }
+  .help.is-link {
+    color: #2e63b8; }
+  .help.is-info {
+    color: #209cee; }
+  .help.is-success {
+    color: #22c35b; }
+  .help.is-warning {
+    color: #ffdd57; }
+  .help.is-danger {
+    color: #da0b00; }
+
+.field:not(:last-child) {
+  margin-bottom: 0.75rem; }
+
+.field.has-addons {
+  display: flex;
+  justify-content: flex-start; }
+  .field.has-addons .control:not(:last-child) {
+    margin-right: -1px; }
+  .field.has-addons .control:not(:first-child):not(:last-child) .button,
+  .field.has-addons .control:not(:first-child):not(:last-child) .input,
+  .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search > input,
+  #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search > input,
+  .field.has-addons .control:not(:first-child):not(:last-child) .select select {
+    border-radius: 0; }
+  .field.has-addons .control:first-child:not(:only-child) .button,
+  .field.has-addons .control:first-child:not(:only-child) .input,
+  .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+  #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search > input,
+  .field.has-addons .control:first-child:not(:only-child) .select select {
+    border-bottom-right-radius: 0;
+    border-top-right-radius: 0; }
+  .field.has-addons .control:last-child:not(:only-child) .button,
+  .field.has-addons .control:last-child:not(:only-child) .input,
+  .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input,
+  #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search > input,
+  .field.has-addons .control:last-child:not(:only-child) .select select {
+    border-bottom-left-radius: 0;
+    border-top-left-radius: 0; }
+  .field.has-addons .control .button:not([disabled]):hover, .field.has-addons .control .button.is-hovered:not([disabled]),
+  .field.has-addons .control .input:not([disabled]):hover,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):hover,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):hover,
+  .field.has-addons .control .input.is-hovered:not([disabled]),
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-hovered:not([disabled]),
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-hovered:not([disabled]),
+  .field.has-addons .control .select select:not([disabled]):hover,
+  .field.has-addons .control .select select.is-hovered:not([disabled]) {
+    z-index: 2; }
+  .field.has-addons .control .button:not([disabled]):focus, .field.has-addons .control .button.is-focused:not([disabled]), .field.has-addons .control .button:not([disabled]):active, .field.has-addons .control .button.is-active:not([disabled]),
+  .field.has-addons .control .input:not([disabled]):focus,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus,
+  .field.has-addons .control .input.is-focused:not([disabled]),
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]),
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]),
+  .field.has-addons .control .input:not([disabled]):active,
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active,
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active,
+  .field.has-addons .control .input.is-active:not([disabled]),
+  .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]),
+  #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]),
+  .field.has-addons .control .select select:not([disabled]):focus,
+  .field.has-addons .control .select select.is-focused:not([disabled]),
+  .field.has-addons .control .select select:not([disabled]):active,
+  .field.has-addons .control .select select.is-active:not([disabled]) {
+    z-index: 3; }
+    .field.has-addons .control .button:not([disabled]):focus:hover, .field.has-addons .control .button.is-focused:not([disabled]):hover, .field.has-addons .control .button:not([disabled]):active:hover, .field.has-addons .control .button.is-active:not([disabled]):hover,
+    .field.has-addons .control .input:not([disabled]):focus:hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus:hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus:hover,
+    .field.has-addons .control .input.is-focused:not([disabled]):hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]):hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]):hover,
+    .field.has-addons .control .input:not([disabled]):active:hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active:hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active:hover,
+    .field.has-addons .control .input.is-active:not([disabled]):hover,
+    .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]):hover,
+    #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]):hover,
+    .field.has-addons .control .select select:not([disabled]):focus:hover,
+    .field.has-addons .control .select select.is-focused:not([disabled]):hover,
+    .field.has-addons .control .select select:not([disabled]):active:hover,
+    .field.has-addons .control .select select.is-active:not([disabled]):hover {
+      z-index: 4; }
+  .field.has-addons .control.is-expanded {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .field.has-addons.has-addons-centered {
+    justify-content: center; }
+  .field.has-addons.has-addons-right {
+    justify-content: flex-end; }
+  .field.has-addons.has-addons-fullwidth .control {
+    flex-grow: 1;
+    flex-shrink: 0; }
+
+.field.is-grouped {
+  display: flex;
+  justify-content: flex-start; }
+  .field.is-grouped > .control {
+    flex-shrink: 0; }
+    .field.is-grouped > .control:not(:last-child) {
+      margin-bottom: 0;
+      margin-right: 0.75rem; }
+    .field.is-grouped > .control.is-expanded {
+      flex-grow: 1;
+      flex-shrink: 1; }
+  .field.is-grouped.is-grouped-centered {
+    justify-content: center; }
+  .field.is-grouped.is-grouped-right {
+    justify-content: flex-end; }
+  .field.is-grouped.is-grouped-multiline {
+    flex-wrap: wrap; }
+    .field.is-grouped.is-grouped-multiline > .control:last-child, .field.is-grouped.is-grouped-multiline > .control:not(:last-child) {
+      margin-bottom: 0.75rem; }
+    .field.is-grouped.is-grouped-multiline:last-child {
+      margin-bottom: -0.75rem; }
+    .field.is-grouped.is-grouped-multiline:not(:last-child) {
+      margin-bottom: 0; }
+
+@media screen and (min-width: 769px), print {
+  .field.is-horizontal {
+    display: flex; } }
+
+.field-label .label {
+  font-size: inherit; }
+
+@media screen and (max-width: 768px) {
+  .field-label {
+    margin-bottom: 0.5rem; } }
+
+@media screen and (min-width: 769px), print {
+  .field-label {
+    flex-basis: 0;
+    flex-grow: 1;
+    flex-shrink: 0;
+    margin-right: 1.5rem;
+    text-align: right; }
+    .field-label.is-small, #documenter .docs-sidebar form.docs-search > input.field-label {
+      font-size: 0.75rem;
+      padding-top: 0.375em; }
+    .field-label.is-normal {
+      padding-top: 0.375em; }
+    .field-label.is-medium {
+      font-size: 1.25rem;
+      padding-top: 0.375em; }
+    .field-label.is-large {
+      font-size: 1.5rem;
+      padding-top: 0.375em; } }
+
+.field-body .field .field {
+  margin-bottom: 0; }
+
+@media screen and (min-width: 769px), print {
+  .field-body {
+    display: flex;
+    flex-basis: 0;
+    flex-grow: 5;
+    flex-shrink: 1; }
+    .field-body .field {
+      margin-bottom: 0; }
+    .field-body > .field {
+      flex-shrink: 1; }
+      .field-body > .field:not(.is-narrow) {
+        flex-grow: 1; }
+      .field-body > .field:not(:last-child) {
+        margin-right: 0.75rem; } }
+
+.control {
+  box-sizing: border-box;
+  clear: both;
+  font-size: 1rem;
+  position: relative;
+  text-align: left; }
+  .control.has-icons-left .input:focus ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input:focus ~ .icon,
+  .control.has-icons-left .select:focus ~ .icon, .control.has-icons-right .input:focus ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input:focus ~ .icon,
+  .control.has-icons-right .select:focus ~ .icon {
+    color: #6b6b6b; }
+  .control.has-icons-left .input.is-small ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input ~ .icon,
+  .control.has-icons-left .select.is-small ~ .icon, .control.has-icons-right .input.is-small ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input ~ .icon,
+  .control.has-icons-right .select.is-small ~ .icon {
+    font-size: 0.75rem; }
+  .control.has-icons-left .input.is-medium ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-medium ~ .icon,
+  .control.has-icons-left .select.is-medium ~ .icon, .control.has-icons-right .input.is-medium ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-medium ~ .icon,
+  .control.has-icons-right .select.is-medium ~ .icon {
+    font-size: 1.25rem; }
+  .control.has-icons-left .input.is-large ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-large ~ .icon,
+  .control.has-icons-left .select.is-large ~ .icon, .control.has-icons-right .input.is-large ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-large ~ .icon,
+  .control.has-icons-right .select.is-large ~ .icon {
+    font-size: 1.5rem; }
+  .control.has-icons-left .icon, .control.has-icons-right .icon {
+    color: #dbdbdb;
+    height: 2.25em;
+    pointer-events: none;
+    position: absolute;
+    top: 0;
+    width: 2.25em;
+    z-index: 4; }
+  .control.has-icons-left .input, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input,
+  .control.has-icons-left .select select {
+    padding-left: 2.25em; }
+  .control.has-icons-left .icon.is-left {
+    left: 0; }
+  .control.has-icons-right .input, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input,
+  .control.has-icons-right .select select {
+    padding-right: 2.25em; }
+  .control.has-icons-right .icon.is-right {
+    right: 0; }
+  .control.is-loading::after {
+    position: absolute !important;
+    right: 0.625em;
+    top: 0.625em;
+    z-index: 4; }
+  .control.is-loading.is-small:after, #documenter .docs-sidebar form.docs-search > input.is-loading:after {
+    font-size: 0.75rem; }
+  .control.is-loading.is-medium:after {
+    font-size: 1.25rem; }
+  .control.is-loading.is-large:after {
+    font-size: 1.5rem; }
+
+.breadcrumb {
+  font-size: 1rem;
+  white-space: nowrap; }
+  .breadcrumb a {
+    align-items: center;
+    color: #2e63b8;
+    display: flex;
+    justify-content: center;
+    padding: 0 0.75em; }
+    .breadcrumb a:hover {
+      color: #363636; }
+  .breadcrumb li {
+    align-items: center;
+    display: flex; }
+    .breadcrumb li:first-child a {
+      padding-left: 0; }
+    .breadcrumb li.is-active a {
+      color: #222222;
+      cursor: default;
+      pointer-events: none; }
+    .breadcrumb li + li::before {
+      color: #b5b5b5;
+      content: "\0002f"; }
+  .breadcrumb ul,
+  .breadcrumb ol {
+    align-items: flex-start;
+    display: flex;
+    flex-wrap: wrap;
+    justify-content: flex-start; }
+  .breadcrumb .icon:first-child {
+    margin-right: 0.5em; }
+  .breadcrumb .icon:last-child {
+    margin-left: 0.5em; }
+  .breadcrumb.is-centered ol,
+  .breadcrumb.is-centered ul {
+    justify-content: center; }
+  .breadcrumb.is-right ol,
+  .breadcrumb.is-right ul {
+    justify-content: flex-end; }
+  .breadcrumb.is-small, #documenter .docs-sidebar form.docs-search > input.breadcrumb {
+    font-size: 0.75rem; }
+  .breadcrumb.is-medium {
+    font-size: 1.25rem; }
+  .breadcrumb.is-large {
+    font-size: 1.5rem; }
+  .breadcrumb.has-arrow-separator li + li::before {
+    content: "\02192"; }
+  .breadcrumb.has-bullet-separator li + li::before {
+    content: "\02022"; }
+  .breadcrumb.has-dot-separator li + li::before {
+    content: "\000b7"; }
+  .breadcrumb.has-succeeds-separator li + li::before {
+    content: "\0227B"; }
+
+.card {
+  background-color: white;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+  color: #222222;
+  max-width: 100%;
+  position: relative; }
+
+.card-header {
+  background-color: transparent;
+  align-items: stretch;
+  box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+  display: flex; }
+
+.card-header-title {
+  align-items: center;
+  color: #222222;
+  display: flex;
+  flex-grow: 1;
+  font-weight: 700;
+  padding: 0.75rem; }
+  .card-header-title.is-centered {
+    justify-content: center; }
+
+.card-header-icon {
+  align-items: center;
+  cursor: pointer;
+  display: flex;
+  justify-content: center;
+  padding: 0.75rem; }
+
+.card-image {
+  display: block;
+  position: relative; }
+
+.card-content {
+  background-color: transparent;
+  padding: 1.5rem; }
+
+.card-footer {
+  background-color: transparent;
+  border-top: 1px solid #dbdbdb;
+  align-items: stretch;
+  display: flex; }
+
+.card-footer-item {
+  align-items: center;
+  display: flex;
+  flex-basis: 0;
+  flex-grow: 1;
+  flex-shrink: 0;
+  justify-content: center;
+  padding: 0.75rem; }
+  .card-footer-item:not(:last-child) {
+    border-right: 1px solid #dbdbdb; }
+
+.card .media:not(:last-child) {
+  margin-bottom: 1.5rem; }
+
+.dropdown {
+  display: inline-flex;
+  position: relative;
+  vertical-align: top; }
+  .dropdown.is-active .dropdown-menu, .dropdown.is-hoverable:hover .dropdown-menu {
+    display: block; }
+  .dropdown.is-right .dropdown-menu {
+    left: auto;
+    right: 0; }
+  .dropdown.is-up .dropdown-menu {
+    bottom: 100%;
+    padding-bottom: 4px;
+    padding-top: initial;
+    top: auto; }
+
+.dropdown-menu {
+  display: none;
+  left: 0;
+  min-width: 12rem;
+  padding-top: 4px;
+  position: absolute;
+  top: 100%;
+  z-index: 20; }
+
+.dropdown-content {
+  background-color: white;
+  border-radius: 4px;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+  padding-bottom: 0.5rem;
+  padding-top: 0.5rem; }
+
+.dropdown-item {
+  color: #4a4a4a;
+  display: block;
+  font-size: 0.875rem;
+  line-height: 1.5;
+  padding: 0.375rem 1rem;
+  position: relative; }
+
+a.dropdown-item,
+button.dropdown-item {
+  padding-right: 3rem;
+  text-align: left;
+  white-space: nowrap;
+  width: 100%; }
+  a.dropdown-item:hover,
+  button.dropdown-item:hover {
+    background-color: whitesmoke;
+    color: #0a0a0a; }
+  a.dropdown-item.is-active,
+  button.dropdown-item.is-active {
+    background-color: #2e63b8;
+    color: #fff; }
+
+.dropdown-divider {
+  background-color: #dbdbdb;
+  border: none;
+  display: block;
+  height: 1px;
+  margin: 0.5rem 0; }
+
+.level {
+  align-items: center;
+  justify-content: space-between; }
+  .level code {
+    border-radius: 4px; }
+  .level img {
+    display: inline-block;
+    vertical-align: top; }
+  .level.is-mobile {
+    display: flex; }
+    .level.is-mobile .level-left,
+    .level.is-mobile .level-right {
+      display: flex; }
+    .level.is-mobile .level-left + .level-right {
+      margin-top: 0; }
+    .level.is-mobile .level-item:not(:last-child) {
+      margin-bottom: 0;
+      margin-right: 0.75rem; }
+    .level.is-mobile .level-item:not(.is-narrow) {
+      flex-grow: 1; }
+  @media screen and (min-width: 769px), print {
+    .level {
+      display: flex; }
+      .level > .level-item:not(.is-narrow) {
+        flex-grow: 1; } }
+.level-item {
+  align-items: center;
+  display: flex;
+  flex-basis: auto;
+  flex-grow: 0;
+  flex-shrink: 0;
+  justify-content: center; }
+  .level-item .title,
+  .level-item .subtitle {
+    margin-bottom: 0; }
+  @media screen and (max-width: 768px) {
+    .level-item:not(:last-child) {
+      margin-bottom: 0.75rem; } }
+.level-left,
+.level-right {
+  flex-basis: auto;
+  flex-grow: 0;
+  flex-shrink: 0; }
+  .level-left .level-item.is-flexible,
+  .level-right .level-item.is-flexible {
+    flex-grow: 1; }
+  @media screen and (min-width: 769px), print {
+    .level-left .level-item:not(:last-child),
+    .level-right .level-item:not(:last-child) {
+      margin-right: 0.75rem; } }
+.level-left {
+  align-items: center;
+  justify-content: flex-start; }
+  @media screen and (max-width: 768px) {
+    .level-left + .level-right {
+      margin-top: 1.5rem; } }
+  @media screen and (min-width: 769px), print {
+    .level-left {
+      display: flex; } }
+.level-right {
+  align-items: center;
+  justify-content: flex-end; }
+  @media screen and (min-width: 769px), print {
+    .level-right {
+      display: flex; } }
+.list {
+  background-color: white;
+  border-radius: 4px;
+  box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); }
+
+.list-item {
+  display: block;
+  padding: 0.5em 1em; }
+  .list-item:not(a) {
+    color: #222222; }
+  .list-item:first-child {
+    border-top-left-radius: 4px;
+    border-top-right-radius: 4px; }
+  .list-item:last-child {
+    border-bottom-left-radius: 4px;
+    border-bottom-right-radius: 4px; }
+  .list-item:not(:last-child) {
+    border-bottom: 1px solid #dbdbdb; }
+  .list-item.is-active {
+    background-color: #2e63b8;
+    color: #fff; }
+
+a.list-item {
+  background-color: whitesmoke;
+  cursor: pointer; }
+
+.media {
+  align-items: flex-start;
+  display: flex;
+  text-align: left; }
+  .media .content:not(:last-child) {
+    margin-bottom: 0.75rem; }
+  .media .media {
+    border-top: 1px solid rgba(219, 219, 219, 0.5);
+    display: flex;
+    padding-top: 0.75rem; }
+    .media .media .content:not(:last-child),
+    .media .media .control:not(:last-child) {
+      margin-bottom: 0.5rem; }
+    .media .media .media {
+      padding-top: 0.5rem; }
+      .media .media .media + .media {
+        margin-top: 0.5rem; }
+  .media + .media {
+    border-top: 1px solid rgba(219, 219, 219, 0.5);
+    margin-top: 1rem;
+    padding-top: 1rem; }
+  .media.is-large + .media {
+    margin-top: 1.5rem;
+    padding-top: 1.5rem; }
+
+.media-left,
+.media-right {
+  flex-basis: auto;
+  flex-grow: 0;
+  flex-shrink: 0; }
+
+.media-left {
+  margin-right: 1rem; }
+
+.media-right {
+  margin-left: 1rem; }
+
+.media-content {
+  flex-basis: auto;
+  flex-grow: 1;
+  flex-shrink: 1;
+  text-align: left; }
+
+@media screen and (max-width: 768px) {
+  .media-content {
+    overflow-x: auto; } }
+
+.menu {
+  font-size: 1rem; }
+  .menu.is-small, #documenter .docs-sidebar form.docs-search > input.menu {
+    font-size: 0.75rem; }
+  .menu.is-medium {
+    font-size: 1.25rem; }
+  .menu.is-large {
+    font-size: 1.5rem; }
+
+.menu-list {
+  line-height: 1.25; }
+  .menu-list a {
+    border-radius: 2px;
+    color: #222222;
+    display: block;
+    padding: 0.5em 0.75em; }
+    .menu-list a:hover {
+      background-color: whitesmoke;
+      color: #222222; }
+    .menu-list a.is-active {
+      background-color: #2e63b8;
+      color: #fff; }
+  .menu-list li ul {
+    border-left: 1px solid #dbdbdb;
+    margin: 0.75em;
+    padding-left: 0.75em; }
+
+.menu-label {
+  color: #6b6b6b;
+  font-size: 0.75em;
+  letter-spacing: 0.1em;
+  text-transform: uppercase; }
+  .menu-label:not(:first-child) {
+    margin-top: 1em; }
+  .menu-label:not(:last-child) {
+    margin-bottom: 1em; }
+
+.message {
+  background-color: whitesmoke;
+  border-radius: 4px;
+  font-size: 1rem; }
+  .message strong {
+    color: currentColor; }
+  .message a:not(.button):not(.tag):not(.dropdown-item) {
+    color: currentColor;
+    text-decoration: underline; }
+  .message.is-small, #documenter .docs-sidebar form.docs-search > input.message {
+    font-size: 0.75rem; }
+  .message.is-medium {
+    font-size: 1.25rem; }
+  .message.is-large {
+    font-size: 1.5rem; }
+  .message.is-white {
+    background-color: white; }
+    .message.is-white .message-header {
+      background-color: white;
+      color: #0a0a0a; }
+    .message.is-white .message-body {
+      border-color: white;
+      color: #4d4d4d; }
+  .message.is-black {
+    background-color: #fafafa; }
+    .message.is-black .message-header {
+      background-color: #0a0a0a;
+      color: white; }
+    .message.is-black .message-body {
+      border-color: #0a0a0a;
+      color: #090909; }
+  .message.is-light {
+    background-color: #fafafa; }
+    .message.is-light .message-header {
+      background-color: whitesmoke;
+      color: #363636; }
+    .message.is-light .message-body {
+      border-color: whitesmoke;
+      color: #505050; }
+  .message.is-dark, .content kbd.message {
+    background-color: #fafafa; }
+    .message.is-dark .message-header, .content kbd.message .message-header {
+      background-color: #363636;
+      color: whitesmoke; }
+    .message.is-dark .message-body, .content kbd.message .message-body {
+      border-color: #363636;
+      color: #2a2a2a; }
+  .message.is-primary, .docstring > section > a.message.docs-sourcelink {
+    background-color: #f6fbfd; }
+    .message.is-primary .message-header, .docstring > section > a.message.docs-sourcelink .message-header {
+      background-color: #4eb5de;
+      color: #fff; }
+    .message.is-primary .message-body, .docstring > section > a.message.docs-sourcelink .message-body {
+      border-color: #4eb5de;
+      color: #1f556a; }
+  .message.is-link {
+    background-color: #f7f9fd; }
+    .message.is-link .message-header {
+      background-color: #2e63b8;
+      color: #fff; }
+    .message.is-link .message-body {
+      border-color: #2e63b8;
+      color: #264981; }
+  .message.is-info {
+    background-color: #f6fbfe; }
+    .message.is-info .message-header {
+      background-color: #209cee;
+      color: #fff; }
+    .message.is-info .message-body {
+      border-color: #209cee;
+      color: #12537d; }
+  .message.is-success {
+    background-color: #f6fdf9; }
+    .message.is-success .message-header {
+      background-color: #22c35b;
+      color: #fff; }
+    .message.is-success .message-body {
+      border-color: #22c35b;
+      color: #0f361d; }
+  .message.is-warning {
+    background-color: #fffdf5; }
+    .message.is-warning .message-header {
+      background-color: #ffdd57;
+      color: rgba(0, 0, 0, 0.7); }
+    .message.is-warning .message-body {
+      border-color: #ffdd57;
+      color: #3c3108; }
+  .message.is-danger {
+    background-color: #fff5f5; }
+    .message.is-danger .message-header {
+      background-color: #da0b00;
+      color: #fff; }
+    .message.is-danger .message-body {
+      border-color: #da0b00;
+      color: #9b0c04; }
+
+.message-header {
+  align-items: center;
+  background-color: #222222;
+  border-radius: 4px 4px 0 0;
+  color: #fff;
+  display: flex;
+  font-weight: 700;
+  justify-content: space-between;
+  line-height: 1.25;
+  padding: 0.75em 1em;
+  position: relative; }
+  .message-header .delete {
+    flex-grow: 0;
+    flex-shrink: 0;
+    margin-left: 0.75em; }
+  .message-header + .message-body {
+    border-width: 0;
+    border-top-left-radius: 0;
+    border-top-right-radius: 0; }
+
+.message-body {
+  border-color: #dbdbdb;
+  border-radius: 4px;
+  border-style: solid;
+  border-width: 0 0 0 4px;
+  color: #222222;
+  padding: 1.25em 1.5em; }
+  .message-body code,
+  .message-body pre {
+    background-color: white; }
+  .message-body pre code {
+    background-color: transparent; }
+
+.modal {
+  align-items: center;
+  display: none;
+  flex-direction: column;
+  justify-content: center;
+  overflow: hidden;
+  position: fixed;
+  z-index: 40; }
+  .modal.is-active {
+    display: flex; }
+
+.modal-background {
+  background-color: rgba(10, 10, 10, 0.86); }
+
+.modal-content,
+.modal-card {
+  margin: 0 20px;
+  max-height: calc(100vh - 160px);
+  overflow: auto;
+  position: relative;
+  width: 100%; }
+  @media screen and (min-width: 769px), print {
+    .modal-content,
+    .modal-card {
+      margin: 0 auto;
+      max-height: calc(100vh - 40px);
+      width: 640px; } }
+.modal-close {
+  background: none;
+  height: 40px;
+  position: fixed;
+  right: 20px;
+  top: 20px;
+  width: 40px; }
+
+.modal-card {
+  display: flex;
+  flex-direction: column;
+  max-height: calc(100vh - 40px);
+  overflow: hidden;
+  -ms-overflow-y: visible; }
+
+.modal-card-head,
+.modal-card-foot {
+  align-items: center;
+  background-color: whitesmoke;
+  display: flex;
+  flex-shrink: 0;
+  justify-content: flex-start;
+  padding: 20px;
+  position: relative; }
+
+.modal-card-head {
+  border-bottom: 1px solid #dbdbdb;
+  border-top-left-radius: 6px;
+  border-top-right-radius: 6px; }
+
+.modal-card-title {
+  color: #222222;
+  flex-grow: 1;
+  flex-shrink: 0;
+  font-size: 1.5rem;
+  line-height: 1; }
+
+.modal-card-foot {
+  border-bottom-left-radius: 6px;
+  border-bottom-right-radius: 6px;
+  border-top: 1px solid #dbdbdb; }
+  .modal-card-foot .button:not(:last-child) {
+    margin-right: 0.5em; }
+
+.modal-card-body {
+  -webkit-overflow-scrolling: touch;
+  background-color: white;
+  flex-grow: 1;
+  flex-shrink: 1;
+  overflow: auto;
+  padding: 20px; }
+
+.navbar {
+  background-color: white;
+  min-height: 3.25rem;
+  position: relative;
+  z-index: 30; }
+  .navbar.is-white {
+    background-color: white;
+    color: #0a0a0a; }
+    .navbar.is-white .navbar-brand > .navbar-item,
+    .navbar.is-white .navbar-brand .navbar-link {
+      color: #0a0a0a; }
+    .navbar.is-white .navbar-brand > a.navbar-item:focus, .navbar.is-white .navbar-brand > a.navbar-item:hover, .navbar.is-white .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-white .navbar-brand .navbar-link:focus,
+    .navbar.is-white .navbar-brand .navbar-link:hover,
+    .navbar.is-white .navbar-brand .navbar-link.is-active {
+      background-color: #f2f2f2;
+      color: #0a0a0a; }
+    .navbar.is-white .navbar-brand .navbar-link::after {
+      border-color: #0a0a0a; }
+    .navbar.is-white .navbar-burger {
+      color: #0a0a0a; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-white .navbar-start > .navbar-item,
+      .navbar.is-white .navbar-start .navbar-link,
+      .navbar.is-white .navbar-end > .navbar-item,
+      .navbar.is-white .navbar-end .navbar-link {
+        color: #0a0a0a; }
+      .navbar.is-white .navbar-start > a.navbar-item:focus, .navbar.is-white .navbar-start > a.navbar-item:hover, .navbar.is-white .navbar-start > a.navbar-item.is-active,
+      .navbar.is-white .navbar-start .navbar-link:focus,
+      .navbar.is-white .navbar-start .navbar-link:hover,
+      .navbar.is-white .navbar-start .navbar-link.is-active,
+      .navbar.is-white .navbar-end > a.navbar-item:focus,
+      .navbar.is-white .navbar-end > a.navbar-item:hover,
+      .navbar.is-white .navbar-end > a.navbar-item.is-active,
+      .navbar.is-white .navbar-end .navbar-link:focus,
+      .navbar.is-white .navbar-end .navbar-link:hover,
+      .navbar.is-white .navbar-end .navbar-link.is-active {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      .navbar.is-white .navbar-start .navbar-link::after,
+      .navbar.is-white .navbar-end .navbar-link::after {
+        border-color: #0a0a0a; }
+      .navbar.is-white .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-white .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-white .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #f2f2f2;
+        color: #0a0a0a; }
+      .navbar.is-white .navbar-dropdown a.navbar-item.is-active {
+        background-color: white;
+        color: #0a0a0a; } }
+  .navbar.is-black {
+    background-color: #0a0a0a;
+    color: white; }
+    .navbar.is-black .navbar-brand > .navbar-item,
+    .navbar.is-black .navbar-brand .navbar-link {
+      color: white; }
+    .navbar.is-black .navbar-brand > a.navbar-item:focus, .navbar.is-black .navbar-brand > a.navbar-item:hover, .navbar.is-black .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-black .navbar-brand .navbar-link:focus,
+    .navbar.is-black .navbar-brand .navbar-link:hover,
+    .navbar.is-black .navbar-brand .navbar-link.is-active {
+      background-color: black;
+      color: white; }
+    .navbar.is-black .navbar-brand .navbar-link::after {
+      border-color: white; }
+    .navbar.is-black .navbar-burger {
+      color: white; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-black .navbar-start > .navbar-item,
+      .navbar.is-black .navbar-start .navbar-link,
+      .navbar.is-black .navbar-end > .navbar-item,
+      .navbar.is-black .navbar-end .navbar-link {
+        color: white; }
+      .navbar.is-black .navbar-start > a.navbar-item:focus, .navbar.is-black .navbar-start > a.navbar-item:hover, .navbar.is-black .navbar-start > a.navbar-item.is-active,
+      .navbar.is-black .navbar-start .navbar-link:focus,
+      .navbar.is-black .navbar-start .navbar-link:hover,
+      .navbar.is-black .navbar-start .navbar-link.is-active,
+      .navbar.is-black .navbar-end > a.navbar-item:focus,
+      .navbar.is-black .navbar-end > a.navbar-item:hover,
+      .navbar.is-black .navbar-end > a.navbar-item.is-active,
+      .navbar.is-black .navbar-end .navbar-link:focus,
+      .navbar.is-black .navbar-end .navbar-link:hover,
+      .navbar.is-black .navbar-end .navbar-link.is-active {
+        background-color: black;
+        color: white; }
+      .navbar.is-black .navbar-start .navbar-link::after,
+      .navbar.is-black .navbar-end .navbar-link::after {
+        border-color: white; }
+      .navbar.is-black .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-black .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-black .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: black;
+        color: white; }
+      .navbar.is-black .navbar-dropdown a.navbar-item.is-active {
+        background-color: #0a0a0a;
+        color: white; } }
+  .navbar.is-light {
+    background-color: whitesmoke;
+    color: #363636; }
+    .navbar.is-light .navbar-brand > .navbar-item,
+    .navbar.is-light .navbar-brand .navbar-link {
+      color: #363636; }
+    .navbar.is-light .navbar-brand > a.navbar-item:focus, .navbar.is-light .navbar-brand > a.navbar-item:hover, .navbar.is-light .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-light .navbar-brand .navbar-link:focus,
+    .navbar.is-light .navbar-brand .navbar-link:hover,
+    .navbar.is-light .navbar-brand .navbar-link.is-active {
+      background-color: #e8e8e8;
+      color: #363636; }
+    .navbar.is-light .navbar-brand .navbar-link::after {
+      border-color: #363636; }
+    .navbar.is-light .navbar-burger {
+      color: #363636; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-light .navbar-start > .navbar-item,
+      .navbar.is-light .navbar-start .navbar-link,
+      .navbar.is-light .navbar-end > .navbar-item,
+      .navbar.is-light .navbar-end .navbar-link {
+        color: #363636; }
+      .navbar.is-light .navbar-start > a.navbar-item:focus, .navbar.is-light .navbar-start > a.navbar-item:hover, .navbar.is-light .navbar-start > a.navbar-item.is-active,
+      .navbar.is-light .navbar-start .navbar-link:focus,
+      .navbar.is-light .navbar-start .navbar-link:hover,
+      .navbar.is-light .navbar-start .navbar-link.is-active,
+      .navbar.is-light .navbar-end > a.navbar-item:focus,
+      .navbar.is-light .navbar-end > a.navbar-item:hover,
+      .navbar.is-light .navbar-end > a.navbar-item.is-active,
+      .navbar.is-light .navbar-end .navbar-link:focus,
+      .navbar.is-light .navbar-end .navbar-link:hover,
+      .navbar.is-light .navbar-end .navbar-link.is-active {
+        background-color: #e8e8e8;
+        color: #363636; }
+      .navbar.is-light .navbar-start .navbar-link::after,
+      .navbar.is-light .navbar-end .navbar-link::after {
+        border-color: #363636; }
+      .navbar.is-light .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-light .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-light .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #e8e8e8;
+        color: #363636; }
+      .navbar.is-light .navbar-dropdown a.navbar-item.is-active {
+        background-color: whitesmoke;
+        color: #363636; } }
+  .navbar.is-dark, .content kbd.navbar {
+    background-color: #363636;
+    color: whitesmoke; }
+    .navbar.is-dark .navbar-brand > .navbar-item, .content kbd.navbar .navbar-brand > .navbar-item,
+    .navbar.is-dark .navbar-brand .navbar-link,
+    .content kbd.navbar .navbar-brand .navbar-link {
+      color: whitesmoke; }
+    .navbar.is-dark .navbar-brand > a.navbar-item:focus, .content kbd.navbar .navbar-brand > a.navbar-item:focus, .navbar.is-dark .navbar-brand > a.navbar-item:hover, .content kbd.navbar .navbar-brand > a.navbar-item:hover, .navbar.is-dark .navbar-brand > a.navbar-item.is-active, .content kbd.navbar .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-dark .navbar-brand .navbar-link:focus,
+    .content kbd.navbar .navbar-brand .navbar-link:focus,
+    .navbar.is-dark .navbar-brand .navbar-link:hover,
+    .content kbd.navbar .navbar-brand .navbar-link:hover,
+    .navbar.is-dark .navbar-brand .navbar-link.is-active,
+    .content kbd.navbar .navbar-brand .navbar-link.is-active {
+      background-color: #292929;
+      color: whitesmoke; }
+    .navbar.is-dark .navbar-brand .navbar-link::after, .content kbd.navbar .navbar-brand .navbar-link::after {
+      border-color: whitesmoke; }
+    .navbar.is-dark .navbar-burger, .content kbd.navbar .navbar-burger {
+      color: whitesmoke; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-dark .navbar-start > .navbar-item, .content kbd.navbar .navbar-start > .navbar-item,
+      .navbar.is-dark .navbar-start .navbar-link,
+      .content kbd.navbar .navbar-start .navbar-link,
+      .navbar.is-dark .navbar-end > .navbar-item,
+      .content kbd.navbar .navbar-end > .navbar-item,
+      .navbar.is-dark .navbar-end .navbar-link,
+      .content kbd.navbar .navbar-end .navbar-link {
+        color: whitesmoke; }
+      .navbar.is-dark .navbar-start > a.navbar-item:focus, .content kbd.navbar .navbar-start > a.navbar-item:focus, .navbar.is-dark .navbar-start > a.navbar-item:hover, .content kbd.navbar .navbar-start > a.navbar-item:hover, .navbar.is-dark .navbar-start > a.navbar-item.is-active, .content kbd.navbar .navbar-start > a.navbar-item.is-active,
+      .navbar.is-dark .navbar-start .navbar-link:focus,
+      .content kbd.navbar .navbar-start .navbar-link:focus,
+      .navbar.is-dark .navbar-start .navbar-link:hover,
+      .content kbd.navbar .navbar-start .navbar-link:hover,
+      .navbar.is-dark .navbar-start .navbar-link.is-active,
+      .content kbd.navbar .navbar-start .navbar-link.is-active,
+      .navbar.is-dark .navbar-end > a.navbar-item:focus,
+      .content kbd.navbar .navbar-end > a.navbar-item:focus,
+      .navbar.is-dark .navbar-end > a.navbar-item:hover,
+      .content kbd.navbar .navbar-end > a.navbar-item:hover,
+      .navbar.is-dark .navbar-end > a.navbar-item.is-active,
+      .content kbd.navbar .navbar-end > a.navbar-item.is-active,
+      .navbar.is-dark .navbar-end .navbar-link:focus,
+      .content kbd.navbar .navbar-end .navbar-link:focus,
+      .navbar.is-dark .navbar-end .navbar-link:hover,
+      .content kbd.navbar .navbar-end .navbar-link:hover,
+      .navbar.is-dark .navbar-end .navbar-link.is-active,
+      .content kbd.navbar .navbar-end .navbar-link.is-active {
+        background-color: #292929;
+        color: whitesmoke; }
+      .navbar.is-dark .navbar-start .navbar-link::after, .content kbd.navbar .navbar-start .navbar-link::after,
+      .navbar.is-dark .navbar-end .navbar-link::after,
+      .content kbd.navbar .navbar-end .navbar-link::after {
+        border-color: whitesmoke; }
+      .navbar.is-dark .navbar-item.has-dropdown:focus .navbar-link, .content kbd.navbar .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-dark .navbar-item.has-dropdown:hover .navbar-link,
+      .content kbd.navbar .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-dark .navbar-item.has-dropdown.is-active .navbar-link,
+      .content kbd.navbar .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #292929;
+        color: whitesmoke; }
+      .navbar.is-dark .navbar-dropdown a.navbar-item.is-active, .content kbd.navbar .navbar-dropdown a.navbar-item.is-active {
+        background-color: #363636;
+        color: whitesmoke; } }
+  .navbar.is-primary, .docstring > section > a.navbar.docs-sourcelink {
+    background-color: #4eb5de;
+    color: #fff; }
+    .navbar.is-primary .navbar-brand > .navbar-item, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > .navbar-item,
+    .navbar.is-primary .navbar-brand .navbar-link,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-primary .navbar-brand > a.navbar-item:focus, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:focus, .navbar.is-primary .navbar-brand > a.navbar-item:hover, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:hover, .navbar.is-primary .navbar-brand > a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-primary .navbar-brand .navbar-link:focus,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:focus,
+    .navbar.is-primary .navbar-brand .navbar-link:hover,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:hover,
+    .navbar.is-primary .navbar-brand .navbar-link.is-active,
+    .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link.is-active {
+      background-color: #39acda;
+      color: #fff; }
+    .navbar.is-primary .navbar-brand .navbar-link::after, .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-primary .navbar-burger, .docstring > section > a.navbar.docs-sourcelink .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-primary .navbar-start > .navbar-item, .docstring > section > a.navbar.docs-sourcelink .navbar-start > .navbar-item,
+      .navbar.is-primary .navbar-start .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link,
+      .navbar.is-primary .navbar-end > .navbar-item,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > .navbar-item,
+      .navbar.is-primary .navbar-end .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-primary .navbar-start > a.navbar-item:focus, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:focus, .navbar.is-primary .navbar-start > a.navbar-item:hover, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:hover, .navbar.is-primary .navbar-start > a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item.is-active,
+      .navbar.is-primary .navbar-start .navbar-link:focus,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:focus,
+      .navbar.is-primary .navbar-start .navbar-link:hover,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:hover,
+      .navbar.is-primary .navbar-start .navbar-link.is-active,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link.is-active,
+      .navbar.is-primary .navbar-end > a.navbar-item:focus,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:focus,
+      .navbar.is-primary .navbar-end > a.navbar-item:hover,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:hover,
+      .navbar.is-primary .navbar-end > a.navbar-item.is-active,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item.is-active,
+      .navbar.is-primary .navbar-end .navbar-link:focus,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:focus,
+      .navbar.is-primary .navbar-end .navbar-link:hover,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:hover,
+      .navbar.is-primary .navbar-end .navbar-link.is-active,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link.is-active {
+        background-color: #39acda;
+        color: #fff; }
+      .navbar.is-primary .navbar-start .navbar-link::after, .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link::after,
+      .navbar.is-primary .navbar-end .navbar-link::after,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-primary .navbar-item.has-dropdown:focus .navbar-link, .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-primary .navbar-item.has-dropdown:hover .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-primary .navbar-item.has-dropdown.is-active .navbar-link,
+      .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #39acda;
+        color: #fff; }
+      .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active {
+        background-color: #4eb5de;
+        color: #fff; } }
+  .navbar.is-link {
+    background-color: #2e63b8;
+    color: #fff; }
+    .navbar.is-link .navbar-brand > .navbar-item,
+    .navbar.is-link .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-link .navbar-brand > a.navbar-item:focus, .navbar.is-link .navbar-brand > a.navbar-item:hover, .navbar.is-link .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-link .navbar-brand .navbar-link:focus,
+    .navbar.is-link .navbar-brand .navbar-link:hover,
+    .navbar.is-link .navbar-brand .navbar-link.is-active {
+      background-color: #2958a4;
+      color: #fff; }
+    .navbar.is-link .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-link .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-link .navbar-start > .navbar-item,
+      .navbar.is-link .navbar-start .navbar-link,
+      .navbar.is-link .navbar-end > .navbar-item,
+      .navbar.is-link .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-link .navbar-start > a.navbar-item:focus, .navbar.is-link .navbar-start > a.navbar-item:hover, .navbar.is-link .navbar-start > a.navbar-item.is-active,
+      .navbar.is-link .navbar-start .navbar-link:focus,
+      .navbar.is-link .navbar-start .navbar-link:hover,
+      .navbar.is-link .navbar-start .navbar-link.is-active,
+      .navbar.is-link .navbar-end > a.navbar-item:focus,
+      .navbar.is-link .navbar-end > a.navbar-item:hover,
+      .navbar.is-link .navbar-end > a.navbar-item.is-active,
+      .navbar.is-link .navbar-end .navbar-link:focus,
+      .navbar.is-link .navbar-end .navbar-link:hover,
+      .navbar.is-link .navbar-end .navbar-link.is-active {
+        background-color: #2958a4;
+        color: #fff; }
+      .navbar.is-link .navbar-start .navbar-link::after,
+      .navbar.is-link .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-link .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-link .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-link .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #2958a4;
+        color: #fff; }
+      .navbar.is-link .navbar-dropdown a.navbar-item.is-active {
+        background-color: #2e63b8;
+        color: #fff; } }
+  .navbar.is-info {
+    background-color: #209cee;
+    color: #fff; }
+    .navbar.is-info .navbar-brand > .navbar-item,
+    .navbar.is-info .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-info .navbar-brand > a.navbar-item:focus, .navbar.is-info .navbar-brand > a.navbar-item:hover, .navbar.is-info .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-info .navbar-brand .navbar-link:focus,
+    .navbar.is-info .navbar-brand .navbar-link:hover,
+    .navbar.is-info .navbar-brand .navbar-link.is-active {
+      background-color: #1190e3;
+      color: #fff; }
+    .navbar.is-info .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-info .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-info .navbar-start > .navbar-item,
+      .navbar.is-info .navbar-start .navbar-link,
+      .navbar.is-info .navbar-end > .navbar-item,
+      .navbar.is-info .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-info .navbar-start > a.navbar-item:focus, .navbar.is-info .navbar-start > a.navbar-item:hover, .navbar.is-info .navbar-start > a.navbar-item.is-active,
+      .navbar.is-info .navbar-start .navbar-link:focus,
+      .navbar.is-info .navbar-start .navbar-link:hover,
+      .navbar.is-info .navbar-start .navbar-link.is-active,
+      .navbar.is-info .navbar-end > a.navbar-item:focus,
+      .navbar.is-info .navbar-end > a.navbar-item:hover,
+      .navbar.is-info .navbar-end > a.navbar-item.is-active,
+      .navbar.is-info .navbar-end .navbar-link:focus,
+      .navbar.is-info .navbar-end .navbar-link:hover,
+      .navbar.is-info .navbar-end .navbar-link.is-active {
+        background-color: #1190e3;
+        color: #fff; }
+      .navbar.is-info .navbar-start .navbar-link::after,
+      .navbar.is-info .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-info .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-info .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-info .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #1190e3;
+        color: #fff; }
+      .navbar.is-info .navbar-dropdown a.navbar-item.is-active {
+        background-color: #209cee;
+        color: #fff; } }
+  .navbar.is-success {
+    background-color: #22c35b;
+    color: #fff; }
+    .navbar.is-success .navbar-brand > .navbar-item,
+    .navbar.is-success .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-success .navbar-brand > a.navbar-item:focus, .navbar.is-success .navbar-brand > a.navbar-item:hover, .navbar.is-success .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-success .navbar-brand .navbar-link:focus,
+    .navbar.is-success .navbar-brand .navbar-link:hover,
+    .navbar.is-success .navbar-brand .navbar-link.is-active {
+      background-color: #1ead51;
+      color: #fff; }
+    .navbar.is-success .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-success .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-success .navbar-start > .navbar-item,
+      .navbar.is-success .navbar-start .navbar-link,
+      .navbar.is-success .navbar-end > .navbar-item,
+      .navbar.is-success .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-success .navbar-start > a.navbar-item:focus, .navbar.is-success .navbar-start > a.navbar-item:hover, .navbar.is-success .navbar-start > a.navbar-item.is-active,
+      .navbar.is-success .navbar-start .navbar-link:focus,
+      .navbar.is-success .navbar-start .navbar-link:hover,
+      .navbar.is-success .navbar-start .navbar-link.is-active,
+      .navbar.is-success .navbar-end > a.navbar-item:focus,
+      .navbar.is-success .navbar-end > a.navbar-item:hover,
+      .navbar.is-success .navbar-end > a.navbar-item.is-active,
+      .navbar.is-success .navbar-end .navbar-link:focus,
+      .navbar.is-success .navbar-end .navbar-link:hover,
+      .navbar.is-success .navbar-end .navbar-link.is-active {
+        background-color: #1ead51;
+        color: #fff; }
+      .navbar.is-success .navbar-start .navbar-link::after,
+      .navbar.is-success .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-success .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-success .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-success .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #1ead51;
+        color: #fff; }
+      .navbar.is-success .navbar-dropdown a.navbar-item.is-active {
+        background-color: #22c35b;
+        color: #fff; } }
+  .navbar.is-warning {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-brand > .navbar-item,
+    .navbar.is-warning .navbar-brand .navbar-link {
+      color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-brand > a.navbar-item:focus, .navbar.is-warning .navbar-brand > a.navbar-item:hover, .navbar.is-warning .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-warning .navbar-brand .navbar-link:focus,
+    .navbar.is-warning .navbar-brand .navbar-link:hover,
+    .navbar.is-warning .navbar-brand .navbar-link.is-active {
+      background-color: #ffd83e;
+      color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-brand .navbar-link::after {
+      border-color: rgba(0, 0, 0, 0.7); }
+    .navbar.is-warning .navbar-burger {
+      color: rgba(0, 0, 0, 0.7); }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-warning .navbar-start > .navbar-item,
+      .navbar.is-warning .navbar-start .navbar-link,
+      .navbar.is-warning .navbar-end > .navbar-item,
+      .navbar.is-warning .navbar-end .navbar-link {
+        color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-start > a.navbar-item:focus, .navbar.is-warning .navbar-start > a.navbar-item:hover, .navbar.is-warning .navbar-start > a.navbar-item.is-active,
+      .navbar.is-warning .navbar-start .navbar-link:focus,
+      .navbar.is-warning .navbar-start .navbar-link:hover,
+      .navbar.is-warning .navbar-start .navbar-link.is-active,
+      .navbar.is-warning .navbar-end > a.navbar-item:focus,
+      .navbar.is-warning .navbar-end > a.navbar-item:hover,
+      .navbar.is-warning .navbar-end > a.navbar-item.is-active,
+      .navbar.is-warning .navbar-end .navbar-link:focus,
+      .navbar.is-warning .navbar-end .navbar-link:hover,
+      .navbar.is-warning .navbar-end .navbar-link.is-active {
+        background-color: #ffd83e;
+        color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-start .navbar-link::after,
+      .navbar.is-warning .navbar-end .navbar-link::after {
+        border-color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-warning .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-warning .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #ffd83e;
+        color: rgba(0, 0, 0, 0.7); }
+      .navbar.is-warning .navbar-dropdown a.navbar-item.is-active {
+        background-color: #ffdd57;
+        color: rgba(0, 0, 0, 0.7); } }
+  .navbar.is-danger {
+    background-color: #da0b00;
+    color: #fff; }
+    .navbar.is-danger .navbar-brand > .navbar-item,
+    .navbar.is-danger .navbar-brand .navbar-link {
+      color: #fff; }
+    .navbar.is-danger .navbar-brand > a.navbar-item:focus, .navbar.is-danger .navbar-brand > a.navbar-item:hover, .navbar.is-danger .navbar-brand > a.navbar-item.is-active,
+    .navbar.is-danger .navbar-brand .navbar-link:focus,
+    .navbar.is-danger .navbar-brand .navbar-link:hover,
+    .navbar.is-danger .navbar-brand .navbar-link.is-active {
+      background-color: #c10a00;
+      color: #fff; }
+    .navbar.is-danger .navbar-brand .navbar-link::after {
+      border-color: #fff; }
+    .navbar.is-danger .navbar-burger {
+      color: #fff; }
+    @media screen and (min-width: 1056px) {
+      .navbar.is-danger .navbar-start > .navbar-item,
+      .navbar.is-danger .navbar-start .navbar-link,
+      .navbar.is-danger .navbar-end > .navbar-item,
+      .navbar.is-danger .navbar-end .navbar-link {
+        color: #fff; }
+      .navbar.is-danger .navbar-start > a.navbar-item:focus, .navbar.is-danger .navbar-start > a.navbar-item:hover, .navbar.is-danger .navbar-start > a.navbar-item.is-active,
+      .navbar.is-danger .navbar-start .navbar-link:focus,
+      .navbar.is-danger .navbar-start .navbar-link:hover,
+      .navbar.is-danger .navbar-start .navbar-link.is-active,
+      .navbar.is-danger .navbar-end > a.navbar-item:focus,
+      .navbar.is-danger .navbar-end > a.navbar-item:hover,
+      .navbar.is-danger .navbar-end > a.navbar-item.is-active,
+      .navbar.is-danger .navbar-end .navbar-link:focus,
+      .navbar.is-danger .navbar-end .navbar-link:hover,
+      .navbar.is-danger .navbar-end .navbar-link.is-active {
+        background-color: #c10a00;
+        color: #fff; }
+      .navbar.is-danger .navbar-start .navbar-link::after,
+      .navbar.is-danger .navbar-end .navbar-link::after {
+        border-color: #fff; }
+      .navbar.is-danger .navbar-item.has-dropdown:focus .navbar-link,
+      .navbar.is-danger .navbar-item.has-dropdown:hover .navbar-link,
+      .navbar.is-danger .navbar-item.has-dropdown.is-active .navbar-link {
+        background-color: #c10a00;
+        color: #fff; }
+      .navbar.is-danger .navbar-dropdown a.navbar-item.is-active {
+        background-color: #da0b00;
+        color: #fff; } }
+  .navbar > .container {
+    align-items: stretch;
+    display: flex;
+    min-height: 3.25rem;
+    width: 100%; }
+  .navbar.has-shadow {
+    box-shadow: 0 2px 0 0 whitesmoke; }
+  .navbar.is-fixed-bottom, .navbar.is-fixed-top {
+    left: 0;
+    position: fixed;
+    right: 0;
+    z-index: 30; }
+  .navbar.is-fixed-bottom {
+    bottom: 0; }
+    .navbar.is-fixed-bottom.has-shadow {
+      box-shadow: 0 -2px 0 0 whitesmoke; }
+  .navbar.is-fixed-top {
+    top: 0; }
+
+html.has-navbar-fixed-top,
+body.has-navbar-fixed-top {
+  padding-top: 3.25rem; }
+
+html.has-navbar-fixed-bottom,
+body.has-navbar-fixed-bottom {
+  padding-bottom: 3.25rem; }
+
+.navbar-brand,
+.navbar-tabs {
+  align-items: stretch;
+  display: flex;
+  flex-shrink: 0;
+  min-height: 3.25rem; }
+
+.navbar-brand a.navbar-item:focus, .navbar-brand a.navbar-item:hover {
+  background-color: transparent; }
+
+.navbar-tabs {
+  -webkit-overflow-scrolling: touch;
+  max-width: 100vw;
+  overflow-x: auto;
+  overflow-y: hidden; }
+
+.navbar-burger {
+  color: #4a4a4a;
+  cursor: pointer;
+  display: block;
+  height: 3.25rem;
+  position: relative;
+  width: 3.25rem;
+  margin-left: auto; }
+  .navbar-burger span {
+    background-color: currentColor;
+    display: block;
+    height: 1px;
+    left: calc(50% - 8px);
+    position: absolute;
+    transform-origin: center;
+    transition-duration: 86ms;
+    transition-property: background-color, opacity, transform;
+    transition-timing-function: ease-out;
+    width: 16px; }
+    .navbar-burger span:nth-child(1) {
+      top: calc(50% - 6px); }
+    .navbar-burger span:nth-child(2) {
+      top: calc(50% - 1px); }
+    .navbar-burger span:nth-child(3) {
+      top: calc(50% + 4px); }
+  .navbar-burger:hover {
+    background-color: rgba(0, 0, 0, 0.05); }
+  .navbar-burger.is-active span:nth-child(1) {
+    transform: translateY(5px) rotate(45deg); }
+  .navbar-burger.is-active span:nth-child(2) {
+    opacity: 0; }
+  .navbar-burger.is-active span:nth-child(3) {
+    transform: translateY(-5px) rotate(-45deg); }
+
+.navbar-menu {
+  display: none; }
+
+.navbar-item,
+.navbar-link {
+  color: #4a4a4a;
+  display: block;
+  line-height: 1.5;
+  padding: 0.5rem 0.75rem;
+  position: relative; }
+  .navbar-item .icon:only-child,
+  .navbar-link .icon:only-child {
+    margin-left: -0.25rem;
+    margin-right: -0.25rem; }
+
+a.navbar-item,
+.navbar-link {
+  cursor: pointer; }
+  a.navbar-item:focus, a.navbar-item:focus-within, a.navbar-item:hover, a.navbar-item.is-active,
+  .navbar-link:focus,
+  .navbar-link:focus-within,
+  .navbar-link:hover,
+  .navbar-link.is-active {
+    background-color: #fafafa;
+    color: #2e63b8; }
+
+.navbar-item {
+  display: block;
+  flex-grow: 0;
+  flex-shrink: 0; }
+  .navbar-item img {
+    max-height: 1.75rem; }
+  .navbar-item.has-dropdown {
+    padding: 0; }
+  .navbar-item.is-expanded {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .navbar-item.is-tab {
+    border-bottom: 1px solid transparent;
+    min-height: 3.25rem;
+    padding-bottom: calc(0.5rem - 1px); }
+    .navbar-item.is-tab:focus, .navbar-item.is-tab:hover {
+      background-color: transparent;
+      border-bottom-color: #2e63b8; }
+    .navbar-item.is-tab.is-active {
+      background-color: transparent;
+      border-bottom-color: #2e63b8;
+      border-bottom-style: solid;
+      border-bottom-width: 3px;
+      color: #2e63b8;
+      padding-bottom: calc(0.5rem - 3px); }
+
+.navbar-content {
+  flex-grow: 1;
+  flex-shrink: 1; }
+
+.navbar-link:not(.is-arrowless) {
+  padding-right: 2.5em; }
+  .navbar-link:not(.is-arrowless)::after {
+    border-color: #2e63b8;
+    margin-top: -0.375em;
+    right: 1.125em; }
+
+.navbar-dropdown {
+  font-size: 0.875rem;
+  padding-bottom: 0.5rem;
+  padding-top: 0.5rem; }
+  .navbar-dropdown .navbar-item {
+    padding-left: 1.5rem;
+    padding-right: 1.5rem; }
+
+.navbar-divider {
+  background-color: whitesmoke;
+  border: none;
+  display: none;
+  height: 2px;
+  margin: 0.5rem 0; }
+
+@media screen and (max-width: 1055px) {
+  .navbar > .container {
+    display: block; }
+  .navbar-brand .navbar-item,
+  .navbar-tabs .navbar-item {
+    align-items: center;
+    display: flex; }
+  .navbar-link::after {
+    display: none; }
+  .navbar-menu {
+    background-color: white;
+    box-shadow: 0 8px 16px rgba(10, 10, 10, 0.1);
+    padding: 0.5rem 0; }
+    .navbar-menu.is-active {
+      display: block; }
+  .navbar.is-fixed-bottom-touch, .navbar.is-fixed-top-touch {
+    left: 0;
+    position: fixed;
+    right: 0;
+    z-index: 30; }
+  .navbar.is-fixed-bottom-touch {
+    bottom: 0; }
+    .navbar.is-fixed-bottom-touch.has-shadow {
+      box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+  .navbar.is-fixed-top-touch {
+    top: 0; }
+  .navbar.is-fixed-top .navbar-menu, .navbar.is-fixed-top-touch .navbar-menu {
+    -webkit-overflow-scrolling: touch;
+    max-height: calc(100vh - 3.25rem);
+    overflow: auto; }
+  html.has-navbar-fixed-top-touch,
+  body.has-navbar-fixed-top-touch {
+    padding-top: 3.25rem; }
+  html.has-navbar-fixed-bottom-touch,
+  body.has-navbar-fixed-bottom-touch {
+    padding-bottom: 3.25rem; } }
+
+@media screen and (min-width: 1056px) {
+  .navbar,
+  .navbar-menu,
+  .navbar-start,
+  .navbar-end {
+    align-items: stretch;
+    display: flex; }
+  .navbar {
+    min-height: 3.25rem; }
+    .navbar.is-spaced {
+      padding: 1rem 2rem; }
+      .navbar.is-spaced .navbar-start,
+      .navbar.is-spaced .navbar-end {
+        align-items: center; }
+      .navbar.is-spaced a.navbar-item,
+      .navbar.is-spaced .navbar-link {
+        border-radius: 4px; }
+    .navbar.is-transparent a.navbar-item:focus, .navbar.is-transparent a.navbar-item:hover, .navbar.is-transparent a.navbar-item.is-active,
+    .navbar.is-transparent .navbar-link:focus,
+    .navbar.is-transparent .navbar-link:hover,
+    .navbar.is-transparent .navbar-link.is-active {
+      background-color: transparent !important; }
+    .navbar.is-transparent .navbar-item.has-dropdown.is-active .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus-within .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:hover .navbar-link {
+      background-color: transparent !important; }
+    .navbar.is-transparent .navbar-dropdown a.navbar-item:focus, .navbar.is-transparent .navbar-dropdown a.navbar-item:hover {
+      background-color: whitesmoke;
+      color: #0a0a0a; }
+    .navbar.is-transparent .navbar-dropdown a.navbar-item.is-active {
+      background-color: whitesmoke;
+      color: #2e63b8; }
+  .navbar-burger {
+    display: none; }
+  .navbar-item,
+  .navbar-link {
+    align-items: center;
+    display: flex; }
+  .navbar-item {
+    display: flex; }
+    .navbar-item.has-dropdown {
+      align-items: stretch; }
+    .navbar-item.has-dropdown-up .navbar-link::after {
+      transform: rotate(135deg) translate(0.25em, -0.25em); }
+    .navbar-item.has-dropdown-up .navbar-dropdown {
+      border-bottom: 2px solid #dbdbdb;
+      border-radius: 6px 6px 0 0;
+      border-top: none;
+      bottom: 100%;
+      box-shadow: 0 -8px 8px rgba(10, 10, 10, 0.1);
+      top: auto; }
+    .navbar-item.is-active .navbar-dropdown, .navbar-item.is-hoverable:focus .navbar-dropdown, .navbar-item.is-hoverable:focus-within .navbar-dropdown, .navbar-item.is-hoverable:hover .navbar-dropdown {
+      display: block; }
+      .navbar.is-spaced .navbar-item.is-active .navbar-dropdown, .navbar-item.is-active .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:focus .navbar-dropdown, .navbar-item.is-hoverable:focus .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:focus-within .navbar-dropdown, .navbar-item.is-hoverable:focus-within .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:hover .navbar-dropdown, .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed {
+        opacity: 1;
+        pointer-events: auto;
+        transform: translateY(0); }
+  .navbar-menu {
+    flex-grow: 1;
+    flex-shrink: 0; }
+  .navbar-start {
+    justify-content: flex-start;
+    margin-right: auto; }
+  .navbar-end {
+    justify-content: flex-end;
+    margin-left: auto; }
+  .navbar-dropdown {
+    background-color: white;
+    border-bottom-left-radius: 6px;
+    border-bottom-right-radius: 6px;
+    border-top: 2px solid #dbdbdb;
+    box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1);
+    display: none;
+    font-size: 0.875rem;
+    left: 0;
+    min-width: 100%;
+    position: absolute;
+    top: 100%;
+    z-index: 20; }
+    .navbar-dropdown .navbar-item {
+      padding: 0.375rem 1rem;
+      white-space: nowrap; }
+    .navbar-dropdown a.navbar-item {
+      padding-right: 3rem; }
+      .navbar-dropdown a.navbar-item:focus, .navbar-dropdown a.navbar-item:hover {
+        background-color: whitesmoke;
+        color: #0a0a0a; }
+      .navbar-dropdown a.navbar-item.is-active {
+        background-color: whitesmoke;
+        color: #2e63b8; }
+    .navbar.is-spaced .navbar-dropdown, .navbar-dropdown.is-boxed {
+      border-radius: 6px;
+      border-top: none;
+      box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1);
+      display: block;
+      opacity: 0;
+      pointer-events: none;
+      top: calc(100% + (-4px));
+      transform: translateY(-5px);
+      transition-duration: 86ms;
+      transition-property: opacity, transform; }
+    .navbar-dropdown.is-right {
+      left: auto;
+      right: 0; }
+  .navbar-divider {
+    display: block; }
+  .navbar > .container .navbar-brand,
+  .container > .navbar .navbar-brand {
+    margin-left: -.75rem; }
+  .navbar > .container .navbar-menu,
+  .container > .navbar .navbar-menu {
+    margin-right: -.75rem; }
+  .navbar.is-fixed-bottom-desktop, .navbar.is-fixed-top-desktop {
+    left: 0;
+    position: fixed;
+    right: 0;
+    z-index: 30; }
+  .navbar.is-fixed-bottom-desktop {
+    bottom: 0; }
+    .navbar.is-fixed-bottom-desktop.has-shadow {
+      box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); }
+  .navbar.is-fixed-top-desktop {
+    top: 0; }
+  html.has-navbar-fixed-top-desktop,
+  body.has-navbar-fixed-top-desktop {
+    padding-top: 3.25rem; }
+  html.has-navbar-fixed-bottom-desktop,
+  body.has-navbar-fixed-bottom-desktop {
+    padding-bottom: 3.25rem; }
+  html.has-spaced-navbar-fixed-top,
+  body.has-spaced-navbar-fixed-top {
+    padding-top: 5.25rem; }
+  html.has-spaced-navbar-fixed-bottom,
+  body.has-spaced-navbar-fixed-bottom {
+    padding-bottom: 5.25rem; }
+  a.navbar-item.is-active,
+  .navbar-link.is-active {
+    color: #0a0a0a; }
+  a.navbar-item.is-active:not(:focus):not(:hover),
+  .navbar-link.is-active:not(:focus):not(:hover) {
+    background-color: transparent; }
+  .navbar-item.has-dropdown:focus .navbar-link, .navbar-item.has-dropdown:hover .navbar-link, .navbar-item.has-dropdown.is-active .navbar-link {
+    background-color: #fafafa; } }
+
+.hero.is-fullheight-with-navbar {
+  min-height: calc(100vh - 3.25rem); }
+
+.pagination {
+  font-size: 1rem;
+  margin: -0.25rem; }
+  .pagination.is-small, #documenter .docs-sidebar form.docs-search > input.pagination {
+    font-size: 0.75rem; }
+  .pagination.is-medium {
+    font-size: 1.25rem; }
+  .pagination.is-large {
+    font-size: 1.5rem; }
+  .pagination.is-rounded .pagination-previous, #documenter .docs-sidebar form.docs-search > input.pagination .pagination-previous,
+  .pagination.is-rounded .pagination-next,
+  #documenter .docs-sidebar form.docs-search > input.pagination .pagination-next {
+    padding-left: 1em;
+    padding-right: 1em;
+    border-radius: 290486px; }
+  .pagination.is-rounded .pagination-link, #documenter .docs-sidebar form.docs-search > input.pagination .pagination-link {
+    border-radius: 290486px; }
+
+.pagination,
+.pagination-list {
+  align-items: center;
+  display: flex;
+  justify-content: center;
+  text-align: center; }
+
+.pagination-previous,
+.pagination-next,
+.pagination-link,
+.pagination-ellipsis {
+  font-size: 1em;
+  justify-content: center;
+  margin: 0.25rem;
+  padding-left: 0.5em;
+  padding-right: 0.5em;
+  text-align: center; }
+
+.pagination-previous,
+.pagination-next,
+.pagination-link {
+  border-color: #dbdbdb;
+  color: #363636;
+  min-width: 2.25em; }
+  .pagination-previous:hover,
+  .pagination-next:hover,
+  .pagination-link:hover {
+    border-color: #b5b5b5;
+    color: #363636; }
+  .pagination-previous:focus,
+  .pagination-next:focus,
+  .pagination-link:focus {
+    border-color: #3c5dcd; }
+  .pagination-previous:active,
+  .pagination-next:active,
+  .pagination-link:active {
+    box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2); }
+  .pagination-previous[disabled],
+  .pagination-next[disabled],
+  .pagination-link[disabled] {
+    background-color: #dbdbdb;
+    border-color: #dbdbdb;
+    box-shadow: none;
+    color: #6b6b6b;
+    opacity: 0.5; }
+
+.pagination-previous,
+.pagination-next {
+  padding-left: 0.75em;
+  padding-right: 0.75em;
+  white-space: nowrap; }
+
+.pagination-link.is-current {
+  background-color: #2e63b8;
+  border-color: #2e63b8;
+  color: #fff; }
+
+.pagination-ellipsis {
+  color: #b5b5b5;
+  pointer-events: none; }
+
+.pagination-list {
+  flex-wrap: wrap; }
+
+@media screen and (max-width: 768px) {
+  .pagination {
+    flex-wrap: wrap; }
+  .pagination-previous,
+  .pagination-next {
+    flex-grow: 1;
+    flex-shrink: 1; }
+  .pagination-list li {
+    flex-grow: 1;
+    flex-shrink: 1; } }
+
+@media screen and (min-width: 769px), print {
+  .pagination-list {
+    flex-grow: 1;
+    flex-shrink: 1;
+    justify-content: flex-start;
+    order: 1; }
+  .pagination-previous {
+    order: 2; }
+  .pagination-next {
+    order: 3; }
+  .pagination {
+    justify-content: space-between; }
+    .pagination.is-centered .pagination-previous {
+      order: 1; }
+    .pagination.is-centered .pagination-list {
+      justify-content: center;
+      order: 2; }
+    .pagination.is-centered .pagination-next {
+      order: 3; }
+    .pagination.is-right .pagination-previous {
+      order: 1; }
+    .pagination.is-right .pagination-next {
+      order: 2; }
+    .pagination.is-right .pagination-list {
+      justify-content: flex-end;
+      order: 3; } }
+
+.panel {
+  font-size: 1rem; }
+  .panel:not(:last-child) {
+    margin-bottom: 1.5rem; }
+
+.panel-heading,
+.panel-tabs,
+.panel-block {
+  border-bottom: 1px solid #dbdbdb;
+  border-left: 1px solid #dbdbdb;
+  border-right: 1px solid #dbdbdb; }
+  .panel-heading:first-child,
+  .panel-tabs:first-child,
+  .panel-block:first-child {
+    border-top: 1px solid #dbdbdb; }
+
+.panel-heading {
+  background-color: whitesmoke;
+  border-radius: 4px 4px 0 0;
+  color: #222222;
+  font-size: 1.25em;
+  font-weight: 300;
+  line-height: 1.25;
+  padding: 0.5em 0.75em; }
+
+.panel-tabs {
+  align-items: flex-end;
+  display: flex;
+  font-size: 0.875em;
+  justify-content: center; }
+  .panel-tabs a {
+    border-bottom: 1px solid #dbdbdb;
+    margin-bottom: -1px;
+    padding: 0.5em; }
+    .panel-tabs a.is-active {
+      border-bottom-color: #4a4a4a;
+      color: #363636; }
+
+.panel-list a {
+  color: #222222; }
+  .panel-list a:hover {
+    color: #2e63b8; }
+
+.panel-block {
+  align-items: center;
+  color: #222222;
+  display: flex;
+  justify-content: flex-start;
+  padding: 0.5em 0.75em; }
+  .panel-block input[type="checkbox"] {
+    margin-right: 0.75em; }
+  .panel-block > .control {
+    flex-grow: 1;
+    flex-shrink: 1;
+    width: 100%; }
+  .panel-block.is-wrapped {
+    flex-wrap: wrap; }
+  .panel-block.is-active {
+    border-left-color: #2e63b8;
+    color: #363636; }
+    .panel-block.is-active .panel-icon {
+      color: #2e63b8; }
+
+a.panel-block,
+label.panel-block {
+  cursor: pointer; }
+  a.panel-block:hover,
+  label.panel-block:hover {
+    background-color: whitesmoke; }
+
+.panel-icon {
+  display: inline-block;
+  font-size: 14px;
+  height: 1em;
+  line-height: 1em;
+  text-align: center;
+  vertical-align: top;
+  width: 1em;
+  color: #6b6b6b;
+  margin-right: 0.75em; }
+  .panel-icon .fa {
+    font-size: inherit;
+    line-height: inherit; }
+
+.tabs {
+  -webkit-overflow-scrolling: touch;
+  align-items: stretch;
+  display: flex;
+  font-size: 1rem;
+  justify-content: space-between;
+  overflow: hidden;
+  overflow-x: auto;
+  white-space: nowrap; }
+  .tabs a {
+    align-items: center;
+    border-bottom-color: #dbdbdb;
+    border-bottom-style: solid;
+    border-bottom-width: 1px;
+    color: #222222;
+    display: flex;
+    justify-content: center;
+    margin-bottom: -1px;
+    padding: 0.5em 1em;
+    vertical-align: top; }
+    .tabs a:hover {
+      border-bottom-color: #222222;
+      color: #222222; }
+  .tabs li {
+    display: block; }
+    .tabs li.is-active a {
+      border-bottom-color: #2e63b8;
+      color: #2e63b8; }
+  .tabs ul {
+    align-items: center;
+    border-bottom-color: #dbdbdb;
+    border-bottom-style: solid;
+    border-bottom-width: 1px;
+    display: flex;
+    flex-grow: 1;
+    flex-shrink: 0;
+    justify-content: flex-start; }
+    .tabs ul.is-left {
+      padding-right: 0.75em; }
+    .tabs ul.is-center {
+      flex: none;
+      justify-content: center;
+      padding-left: 0.75em;
+      padding-right: 0.75em; }
+    .tabs ul.is-right {
+      justify-content: flex-end;
+      padding-left: 0.75em; }
+  .tabs .icon:first-child {
+    margin-right: 0.5em; }
+  .tabs .icon:last-child {
+    margin-left: 0.5em; }
+  .tabs.is-centered ul {
+    justify-content: center; }
+  .tabs.is-right ul {
+    justify-content: flex-end; }
+  .tabs.is-boxed a {
+    border: 1px solid transparent;
+    border-radius: 4px 4px 0 0; }
+    .tabs.is-boxed a:hover {
+      background-color: whitesmoke;
+      border-bottom-color: #dbdbdb; }
+  .tabs.is-boxed li.is-active a {
+    background-color: white;
+    border-color: #dbdbdb;
+    border-bottom-color: transparent !important; }
+  .tabs.is-fullwidth li {
+    flex-grow: 1;
+    flex-shrink: 0; }
+  .tabs.is-toggle a {
+    border-color: #dbdbdb;
+    border-style: solid;
+    border-width: 1px;
+    margin-bottom: 0;
+    position: relative; }
+    .tabs.is-toggle a:hover {
+      background-color: whitesmoke;
+      border-color: #b5b5b5;
+      z-index: 2; }
+  .tabs.is-toggle li + li {
+    margin-left: -1px; }
+  .tabs.is-toggle li:first-child a {
+    border-radius: 4px 0 0 4px; }
+  .tabs.is-toggle li:last-child a {
+    border-radius: 0 4px 4px 0; }
+  .tabs.is-toggle li.is-active a {
+    background-color: #2e63b8;
+    border-color: #2e63b8;
+    color: #fff;
+    z-index: 1; }
+  .tabs.is-toggle ul {
+    border-bottom: none; }
+  .tabs.is-toggle.is-toggle-rounded li:first-child a {
+    border-bottom-left-radius: 290486px;
+    border-top-left-radius: 290486px;
+    padding-left: 1.25em; }
+  .tabs.is-toggle.is-toggle-rounded li:last-child a {
+    border-bottom-right-radius: 290486px;
+    border-top-right-radius: 290486px;
+    padding-right: 1.25em; }
+  .tabs.is-small, #documenter .docs-sidebar form.docs-search > input.tabs {
+    font-size: 0.75rem; }
+  .tabs.is-medium {
+    font-size: 1.25rem; }
+  .tabs.is-large {
+    font-size: 1.5rem; }
+
+.column {
+  display: block;
+  flex-basis: 0;
+  flex-grow: 1;
+  flex-shrink: 1;
+  padding: 0.75rem; }
+  .columns.is-mobile > .column.is-narrow {
+    flex: none; }
+  .columns.is-mobile > .column.is-full {
+    flex: none;
+    width: 100%; }
+  .columns.is-mobile > .column.is-three-quarters {
+    flex: none;
+    width: 75%; }
+  .columns.is-mobile > .column.is-two-thirds {
+    flex: none;
+    width: 66.6666%; }
+  .columns.is-mobile > .column.is-half {
+    flex: none;
+    width: 50%; }
+  .columns.is-mobile > .column.is-one-third {
+    flex: none;
+    width: 33.3333%; }
+  .columns.is-mobile > .column.is-one-quarter {
+    flex: none;
+    width: 25%; }
+  .columns.is-mobile > .column.is-one-fifth {
+    flex: none;
+    width: 20%; }
+  .columns.is-mobile > .column.is-two-fifths {
+    flex: none;
+    width: 40%; }
+  .columns.is-mobile > .column.is-three-fifths {
+    flex: none;
+    width: 60%; }
+  .columns.is-mobile > .column.is-four-fifths {
+    flex: none;
+    width: 80%; }
+  .columns.is-mobile > .column.is-offset-three-quarters {
+    margin-left: 75%; }
+  .columns.is-mobile > .column.is-offset-two-thirds {
+    margin-left: 66.6666%; }
+  .columns.is-mobile > .column.is-offset-half {
+    margin-left: 50%; }
+  .columns.is-mobile > .column.is-offset-one-third {
+    margin-left: 33.3333%; }
+  .columns.is-mobile > .column.is-offset-one-quarter {
+    margin-left: 25%; }
+  .columns.is-mobile > .column.is-offset-one-fifth {
+    margin-left: 20%; }
+  .columns.is-mobile > .column.is-offset-two-fifths {
+    margin-left: 40%; }
+  .columns.is-mobile > .column.is-offset-three-fifths {
+    margin-left: 60%; }
+  .columns.is-mobile > .column.is-offset-four-fifths {
+    margin-left: 80%; }
+  .columns.is-mobile > .column.is-0 {
+    flex: none;
+    width: 0%; }
+  .columns.is-mobile > .column.is-offset-0 {
+    margin-left: 0%; }
+  .columns.is-mobile > .column.is-1 {
+    flex: none;
+    width: 8.3333333333%; }
+  .columns.is-mobile > .column.is-offset-1 {
+    margin-left: 8.3333333333%; }
+  .columns.is-mobile > .column.is-2 {
+    flex: none;
+    width: 16.6666666667%; }
+  .columns.is-mobile > .column.is-offset-2 {
+    margin-left: 16.6666666667%; }
+  .columns.is-mobile > .column.is-3 {
+    flex: none;
+    width: 25%; }
+  .columns.is-mobile > .column.is-offset-3 {
+    margin-left: 25%; }
+  .columns.is-mobile > .column.is-4 {
+    flex: none;
+    width: 33.3333333333%; }
+  .columns.is-mobile > .column.is-offset-4 {
+    margin-left: 33.3333333333%; }
+  .columns.is-mobile > .column.is-5 {
+    flex: none;
+    width: 41.6666666667%; }
+  .columns.is-mobile > .column.is-offset-5 {
+    margin-left: 41.6666666667%; }
+  .columns.is-mobile > .column.is-6 {
+    flex: none;
+    width: 50%; }
+  .columns.is-mobile > .column.is-offset-6 {
+    margin-left: 50%; }
+  .columns.is-mobile > .column.is-7 {
+    flex: none;
+    width: 58.3333333333%; }
+  .columns.is-mobile > .column.is-offset-7 {
+    margin-left: 58.3333333333%; }
+  .columns.is-mobile > .column.is-8 {
+    flex: none;
+    width: 66.6666666667%; }
+  .columns.is-mobile > .column.is-offset-8 {
+    margin-left: 66.6666666667%; }
+  .columns.is-mobile > .column.is-9 {
+    flex: none;
+    width: 75%; }
+  .columns.is-mobile > .column.is-offset-9 {
+    margin-left: 75%; }
+  .columns.is-mobile > .column.is-10 {
+    flex: none;
+    width: 83.3333333333%; }
+  .columns.is-mobile > .column.is-offset-10 {
+    margin-left: 83.3333333333%; }
+  .columns.is-mobile > .column.is-11 {
+    flex: none;
+    width: 91.6666666667%; }
+  .columns.is-mobile > .column.is-offset-11 {
+    margin-left: 91.6666666667%; }
+  .columns.is-mobile > .column.is-12 {
+    flex: none;
+    width: 100%; }
+  .columns.is-mobile > .column.is-offset-12 {
+    margin-left: 100%; }
+  @media screen and (max-width: 768px) {
+    .column.is-narrow-mobile {
+      flex: none; }
+    .column.is-full-mobile {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-mobile {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-mobile {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-mobile {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-mobile {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-mobile {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-mobile {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-mobile {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-mobile {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-mobile {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-mobile {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-mobile {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-mobile {
+      margin-left: 50%; }
+    .column.is-offset-one-third-mobile {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-mobile {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-mobile {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-mobile {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-mobile {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-mobile {
+      margin-left: 80%; }
+    .column.is-0-mobile {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-mobile {
+      margin-left: 0%; }
+    .column.is-1-mobile {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-mobile {
+      margin-left: 8.3333333333%; }
+    .column.is-2-mobile {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-mobile {
+      margin-left: 16.6666666667%; }
+    .column.is-3-mobile {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-mobile {
+      margin-left: 25%; }
+    .column.is-4-mobile {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-mobile {
+      margin-left: 33.3333333333%; }
+    .column.is-5-mobile {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-mobile {
+      margin-left: 41.6666666667%; }
+    .column.is-6-mobile {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-mobile {
+      margin-left: 50%; }
+    .column.is-7-mobile {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-mobile {
+      margin-left: 58.3333333333%; }
+    .column.is-8-mobile {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-mobile {
+      margin-left: 66.6666666667%; }
+    .column.is-9-mobile {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-mobile {
+      margin-left: 75%; }
+    .column.is-10-mobile {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-mobile {
+      margin-left: 83.3333333333%; }
+    .column.is-11-mobile {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-mobile {
+      margin-left: 91.6666666667%; }
+    .column.is-12-mobile {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-mobile {
+      margin-left: 100%; } }
+  @media screen and (min-width: 769px), print {
+    .column.is-narrow, .column.is-narrow-tablet {
+      flex: none; }
+    .column.is-full, .column.is-full-tablet {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters, .column.is-three-quarters-tablet {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds, .column.is-two-thirds-tablet {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half, .column.is-half-tablet {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third, .column.is-one-third-tablet {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter, .column.is-one-quarter-tablet {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth, .column.is-one-fifth-tablet {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths, .column.is-two-fifths-tablet {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths, .column.is-three-fifths-tablet {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths, .column.is-four-fifths-tablet {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters, .column.is-offset-three-quarters-tablet {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds, .column.is-offset-two-thirds-tablet {
+      margin-left: 66.6666%; }
+    .column.is-offset-half, .column.is-offset-half-tablet {
+      margin-left: 50%; }
+    .column.is-offset-one-third, .column.is-offset-one-third-tablet {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter, .column.is-offset-one-quarter-tablet {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth, .column.is-offset-one-fifth-tablet {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths, .column.is-offset-two-fifths-tablet {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths, .column.is-offset-three-fifths-tablet {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths, .column.is-offset-four-fifths-tablet {
+      margin-left: 80%; }
+    .column.is-0, .column.is-0-tablet {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0, .column.is-offset-0-tablet {
+      margin-left: 0%; }
+    .column.is-1, .column.is-1-tablet {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1, .column.is-offset-1-tablet {
+      margin-left: 8.3333333333%; }
+    .column.is-2, .column.is-2-tablet {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2, .column.is-offset-2-tablet {
+      margin-left: 16.6666666667%; }
+    .column.is-3, .column.is-3-tablet {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3, .column.is-offset-3-tablet {
+      margin-left: 25%; }
+    .column.is-4, .column.is-4-tablet {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4, .column.is-offset-4-tablet {
+      margin-left: 33.3333333333%; }
+    .column.is-5, .column.is-5-tablet {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5, .column.is-offset-5-tablet {
+      margin-left: 41.6666666667%; }
+    .column.is-6, .column.is-6-tablet {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6, .column.is-offset-6-tablet {
+      margin-left: 50%; }
+    .column.is-7, .column.is-7-tablet {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7, .column.is-offset-7-tablet {
+      margin-left: 58.3333333333%; }
+    .column.is-8, .column.is-8-tablet {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8, .column.is-offset-8-tablet {
+      margin-left: 66.6666666667%; }
+    .column.is-9, .column.is-9-tablet {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9, .column.is-offset-9-tablet {
+      margin-left: 75%; }
+    .column.is-10, .column.is-10-tablet {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10, .column.is-offset-10-tablet {
+      margin-left: 83.3333333333%; }
+    .column.is-11, .column.is-11-tablet {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11, .column.is-offset-11-tablet {
+      margin-left: 91.6666666667%; }
+    .column.is-12, .column.is-12-tablet {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12, .column.is-offset-12-tablet {
+      margin-left: 100%; } }
+  @media screen and (max-width: 1055px) {
+    .column.is-narrow-touch {
+      flex: none; }
+    .column.is-full-touch {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-touch {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-touch {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-touch {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-touch {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-touch {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-touch {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-touch {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-touch {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-touch {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-touch {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-touch {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-touch {
+      margin-left: 50%; }
+    .column.is-offset-one-third-touch {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-touch {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-touch {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-touch {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-touch {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-touch {
+      margin-left: 80%; }
+    .column.is-0-touch {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-touch {
+      margin-left: 0%; }
+    .column.is-1-touch {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-touch {
+      margin-left: 8.3333333333%; }
+    .column.is-2-touch {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-touch {
+      margin-left: 16.6666666667%; }
+    .column.is-3-touch {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-touch {
+      margin-left: 25%; }
+    .column.is-4-touch {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-touch {
+      margin-left: 33.3333333333%; }
+    .column.is-5-touch {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-touch {
+      margin-left: 41.6666666667%; }
+    .column.is-6-touch {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-touch {
+      margin-left: 50%; }
+    .column.is-7-touch {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-touch {
+      margin-left: 58.3333333333%; }
+    .column.is-8-touch {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-touch {
+      margin-left: 66.6666666667%; }
+    .column.is-9-touch {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-touch {
+      margin-left: 75%; }
+    .column.is-10-touch {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-touch {
+      margin-left: 83.3333333333%; }
+    .column.is-11-touch {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-touch {
+      margin-left: 91.6666666667%; }
+    .column.is-12-touch {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-touch {
+      margin-left: 100%; } }
+  @media screen and (min-width: 1056px) {
+    .column.is-narrow-desktop {
+      flex: none; }
+    .column.is-full-desktop {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-desktop {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-desktop {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-desktop {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-desktop {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-desktop {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-desktop {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-desktop {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-desktop {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-desktop {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-desktop {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-desktop {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-desktop {
+      margin-left: 50%; }
+    .column.is-offset-one-third-desktop {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-desktop {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-desktop {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-desktop {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-desktop {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-desktop {
+      margin-left: 80%; }
+    .column.is-0-desktop {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-desktop {
+      margin-left: 0%; }
+    .column.is-1-desktop {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-desktop {
+      margin-left: 8.3333333333%; }
+    .column.is-2-desktop {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-desktop {
+      margin-left: 16.6666666667%; }
+    .column.is-3-desktop {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-desktop {
+      margin-left: 25%; }
+    .column.is-4-desktop {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-desktop {
+      margin-left: 33.3333333333%; }
+    .column.is-5-desktop {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-desktop {
+      margin-left: 41.6666666667%; }
+    .column.is-6-desktop {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-desktop {
+      margin-left: 50%; }
+    .column.is-7-desktop {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-desktop {
+      margin-left: 58.3333333333%; }
+    .column.is-8-desktop {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-desktop {
+      margin-left: 66.6666666667%; }
+    .column.is-9-desktop {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-desktop {
+      margin-left: 75%; }
+    .column.is-10-desktop {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-desktop {
+      margin-left: 83.3333333333%; }
+    .column.is-11-desktop {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-desktop {
+      margin-left: 91.6666666667%; }
+    .column.is-12-desktop {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-desktop {
+      margin-left: 100%; } }
+  @media screen and (min-width: 1216px) {
+    .column.is-narrow-widescreen {
+      flex: none; }
+    .column.is-full-widescreen {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-widescreen {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-widescreen {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-widescreen {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-widescreen {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-widescreen {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-widescreen {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-widescreen {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-widescreen {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-widescreen {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-widescreen {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-widescreen {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-widescreen {
+      margin-left: 50%; }
+    .column.is-offset-one-third-widescreen {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-widescreen {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-widescreen {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-widescreen {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-widescreen {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-widescreen {
+      margin-left: 80%; }
+    .column.is-0-widescreen {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-widescreen {
+      margin-left: 0%; }
+    .column.is-1-widescreen {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-widescreen {
+      margin-left: 8.3333333333%; }
+    .column.is-2-widescreen {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-widescreen {
+      margin-left: 16.6666666667%; }
+    .column.is-3-widescreen {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-widescreen {
+      margin-left: 25%; }
+    .column.is-4-widescreen {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-widescreen {
+      margin-left: 33.3333333333%; }
+    .column.is-5-widescreen {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-widescreen {
+      margin-left: 41.6666666667%; }
+    .column.is-6-widescreen {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-widescreen {
+      margin-left: 50%; }
+    .column.is-7-widescreen {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-widescreen {
+      margin-left: 58.3333333333%; }
+    .column.is-8-widescreen {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-widescreen {
+      margin-left: 66.6666666667%; }
+    .column.is-9-widescreen {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-widescreen {
+      margin-left: 75%; }
+    .column.is-10-widescreen {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-widescreen {
+      margin-left: 83.3333333333%; }
+    .column.is-11-widescreen {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-widescreen {
+      margin-left: 91.6666666667%; }
+    .column.is-12-widescreen {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-widescreen {
+      margin-left: 100%; } }
+  @media screen and (min-width: 1408px) {
+    .column.is-narrow-fullhd {
+      flex: none; }
+    .column.is-full-fullhd {
+      flex: none;
+      width: 100%; }
+    .column.is-three-quarters-fullhd {
+      flex: none;
+      width: 75%; }
+    .column.is-two-thirds-fullhd {
+      flex: none;
+      width: 66.6666%; }
+    .column.is-half-fullhd {
+      flex: none;
+      width: 50%; }
+    .column.is-one-third-fullhd {
+      flex: none;
+      width: 33.3333%; }
+    .column.is-one-quarter-fullhd {
+      flex: none;
+      width: 25%; }
+    .column.is-one-fifth-fullhd {
+      flex: none;
+      width: 20%; }
+    .column.is-two-fifths-fullhd {
+      flex: none;
+      width: 40%; }
+    .column.is-three-fifths-fullhd {
+      flex: none;
+      width: 60%; }
+    .column.is-four-fifths-fullhd {
+      flex: none;
+      width: 80%; }
+    .column.is-offset-three-quarters-fullhd {
+      margin-left: 75%; }
+    .column.is-offset-two-thirds-fullhd {
+      margin-left: 66.6666%; }
+    .column.is-offset-half-fullhd {
+      margin-left: 50%; }
+    .column.is-offset-one-third-fullhd {
+      margin-left: 33.3333%; }
+    .column.is-offset-one-quarter-fullhd {
+      margin-left: 25%; }
+    .column.is-offset-one-fifth-fullhd {
+      margin-left: 20%; }
+    .column.is-offset-two-fifths-fullhd {
+      margin-left: 40%; }
+    .column.is-offset-three-fifths-fullhd {
+      margin-left: 60%; }
+    .column.is-offset-four-fifths-fullhd {
+      margin-left: 80%; }
+    .column.is-0-fullhd {
+      flex: none;
+      width: 0%; }
+    .column.is-offset-0-fullhd {
+      margin-left: 0%; }
+    .column.is-1-fullhd {
+      flex: none;
+      width: 8.3333333333%; }
+    .column.is-offset-1-fullhd {
+      margin-left: 8.3333333333%; }
+    .column.is-2-fullhd {
+      flex: none;
+      width: 16.6666666667%; }
+    .column.is-offset-2-fullhd {
+      margin-left: 16.6666666667%; }
+    .column.is-3-fullhd {
+      flex: none;
+      width: 25%; }
+    .column.is-offset-3-fullhd {
+      margin-left: 25%; }
+    .column.is-4-fullhd {
+      flex: none;
+      width: 33.3333333333%; }
+    .column.is-offset-4-fullhd {
+      margin-left: 33.3333333333%; }
+    .column.is-5-fullhd {
+      flex: none;
+      width: 41.6666666667%; }
+    .column.is-offset-5-fullhd {
+      margin-left: 41.6666666667%; }
+    .column.is-6-fullhd {
+      flex: none;
+      width: 50%; }
+    .column.is-offset-6-fullhd {
+      margin-left: 50%; }
+    .column.is-7-fullhd {
+      flex: none;
+      width: 58.3333333333%; }
+    .column.is-offset-7-fullhd {
+      margin-left: 58.3333333333%; }
+    .column.is-8-fullhd {
+      flex: none;
+      width: 66.6666666667%; }
+    .column.is-offset-8-fullhd {
+      margin-left: 66.6666666667%; }
+    .column.is-9-fullhd {
+      flex: none;
+      width: 75%; }
+    .column.is-offset-9-fullhd {
+      margin-left: 75%; }
+    .column.is-10-fullhd {
+      flex: none;
+      width: 83.3333333333%; }
+    .column.is-offset-10-fullhd {
+      margin-left: 83.3333333333%; }
+    .column.is-11-fullhd {
+      flex: none;
+      width: 91.6666666667%; }
+    .column.is-offset-11-fullhd {
+      margin-left: 91.6666666667%; }
+    .column.is-12-fullhd {
+      flex: none;
+      width: 100%; }
+    .column.is-offset-12-fullhd {
+      margin-left: 100%; } }
+.columns {
+  margin-left: -0.75rem;
+  margin-right: -0.75rem;
+  margin-top: -0.75rem; }
+  .columns:last-child {
+    margin-bottom: -0.75rem; }
+  .columns:not(:last-child) {
+    margin-bottom: calc(1.5rem - 0.75rem); }
+  .columns.is-centered {
+    justify-content: center; }
+  .columns.is-gapless {
+    margin-left: 0;
+    margin-right: 0;
+    margin-top: 0; }
+    .columns.is-gapless > .column {
+      margin: 0;
+      padding: 0 !important; }
+    .columns.is-gapless:not(:last-child) {
+      margin-bottom: 1.5rem; }
+    .columns.is-gapless:last-child {
+      margin-bottom: 0; }
+  .columns.is-mobile {
+    display: flex; }
+  .columns.is-multiline {
+    flex-wrap: wrap; }
+  .columns.is-vcentered {
+    align-items: center; }
+  @media screen and (min-width: 769px), print {
+    .columns:not(.is-desktop) {
+      display: flex; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-desktop {
+      display: flex; } }
+.columns.is-variable {
+  --columnGap: 0.75rem;
+  margin-left: calc(-1 * var(--columnGap));
+  margin-right: calc(-1 * var(--columnGap)); }
+  .columns.is-variable .column {
+    padding-left: var(--columnGap);
+    padding-right: var(--columnGap); }
+  .columns.is-variable.is-0 {
+    --columnGap: 0rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-0-mobile {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-0-tablet {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-0-tablet-only {
+      --columnGap: 0rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-0-touch {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-0-desktop {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-0-desktop-only {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-0-widescreen {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-0-widescreen-only {
+      --columnGap: 0rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-0-fullhd {
+      --columnGap: 0rem; } }
+  .columns.is-variable.is-1 {
+    --columnGap: 0.25rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-1-mobile {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-1-tablet {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-1-tablet-only {
+      --columnGap: 0.25rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-1-touch {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-1-desktop {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-1-desktop-only {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-1-widescreen {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-1-widescreen-only {
+      --columnGap: 0.25rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-1-fullhd {
+      --columnGap: 0.25rem; } }
+  .columns.is-variable.is-2 {
+    --columnGap: 0.5rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-2-mobile {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-2-tablet {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-2-tablet-only {
+      --columnGap: 0.5rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-2-touch {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-2-desktop {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-2-desktop-only {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-2-widescreen {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-2-widescreen-only {
+      --columnGap: 0.5rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-2-fullhd {
+      --columnGap: 0.5rem; } }
+  .columns.is-variable.is-3 {
+    --columnGap: 0.75rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-3-mobile {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-3-tablet {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-3-tablet-only {
+      --columnGap: 0.75rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-3-touch {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-3-desktop {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-3-desktop-only {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-3-widescreen {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-3-widescreen-only {
+      --columnGap: 0.75rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-3-fullhd {
+      --columnGap: 0.75rem; } }
+  .columns.is-variable.is-4 {
+    --columnGap: 1rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-4-mobile {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-4-tablet {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-4-tablet-only {
+      --columnGap: 1rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-4-touch {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-4-desktop {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-4-desktop-only {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-4-widescreen {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-4-widescreen-only {
+      --columnGap: 1rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-4-fullhd {
+      --columnGap: 1rem; } }
+  .columns.is-variable.is-5 {
+    --columnGap: 1.25rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-5-mobile {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-5-tablet {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-5-tablet-only {
+      --columnGap: 1.25rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-5-touch {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-5-desktop {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-5-desktop-only {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-5-widescreen {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-5-widescreen-only {
+      --columnGap: 1.25rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-5-fullhd {
+      --columnGap: 1.25rem; } }
+  .columns.is-variable.is-6 {
+    --columnGap: 1.5rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-6-mobile {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-6-tablet {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-6-tablet-only {
+      --columnGap: 1.5rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-6-touch {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-6-desktop {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-6-desktop-only {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-6-widescreen {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-6-widescreen-only {
+      --columnGap: 1.5rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-6-fullhd {
+      --columnGap: 1.5rem; } }
+  .columns.is-variable.is-7 {
+    --columnGap: 1.75rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-7-mobile {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-7-tablet {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-7-tablet-only {
+      --columnGap: 1.75rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-7-touch {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-7-desktop {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-7-desktop-only {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-7-widescreen {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-7-widescreen-only {
+      --columnGap: 1.75rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-7-fullhd {
+      --columnGap: 1.75rem; } }
+  .columns.is-variable.is-8 {
+    --columnGap: 2rem; }
+  @media screen and (max-width: 768px) {
+    .columns.is-variable.is-8-mobile {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 769px), print {
+    .columns.is-variable.is-8-tablet {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 769px) and (max-width: 1055px) {
+    .columns.is-variable.is-8-tablet-only {
+      --columnGap: 2rem; } }
+  @media screen and (max-width: 1055px) {
+    .columns.is-variable.is-8-touch {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1056px) {
+    .columns.is-variable.is-8-desktop {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1056px) and (max-width: 1215px) {
+    .columns.is-variable.is-8-desktop-only {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1216px) {
+    .columns.is-variable.is-8-widescreen {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1216px) and (max-width: 1407px) {
+    .columns.is-variable.is-8-widescreen-only {
+      --columnGap: 2rem; } }
+  @media screen and (min-width: 1408px) {
+    .columns.is-variable.is-8-fullhd {
+      --columnGap: 2rem; } }
+.tile {
+  align-items: stretch;
+  display: block;
+  flex-basis: 0;
+  flex-grow: 1;
+  flex-shrink: 1;
+  min-height: min-content; }
+  .tile.is-ancestor {
+    margin-left: -0.75rem;
+    margin-right: -0.75rem;
+    margin-top: -0.75rem; }
+    .tile.is-ancestor:last-child {
+      margin-bottom: -0.75rem; }
+    .tile.is-ancestor:not(:last-child) {
+      margin-bottom: 0.75rem; }
+  .tile.is-child {
+    margin: 0 !important; }
+  .tile.is-parent {
+    padding: 0.75rem; }
+  .tile.is-vertical {
+    flex-direction: column; }
+    .tile.is-vertical > .tile.is-child:not(:last-child) {
+      margin-bottom: 1.5rem !important; }
+  @media screen and (min-width: 769px), print {
+    .tile:not(.is-child) {
+      display: flex; }
+    .tile.is-1 {
+      flex: none;
+      width: 8.3333333333%; }
+    .tile.is-2 {
+      flex: none;
+      width: 16.6666666667%; }
+    .tile.is-3 {
+      flex: none;
+      width: 25%; }
+    .tile.is-4 {
+      flex: none;
+      width: 33.3333333333%; }
+    .tile.is-5 {
+      flex: none;
+      width: 41.6666666667%; }
+    .tile.is-6 {
+      flex: none;
+      width: 50%; }
+    .tile.is-7 {
+      flex: none;
+      width: 58.3333333333%; }
+    .tile.is-8 {
+      flex: none;
+      width: 66.6666666667%; }
+    .tile.is-9 {
+      flex: none;
+      width: 75%; }
+    .tile.is-10 {
+      flex: none;
+      width: 83.3333333333%; }
+    .tile.is-11 {
+      flex: none;
+      width: 91.6666666667%; }
+    .tile.is-12 {
+      flex: none;
+      width: 100%; } }
+.hero {
+  align-items: stretch;
+  display: flex;
+  flex-direction: column;
+  justify-content: space-between; }
+  .hero .navbar {
+    background: none; }
+  .hero .tabs ul {
+    border-bottom: none; }
+  .hero.is-white {
+    background-color: white;
+    color: #0a0a0a; }
+    .hero.is-white a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-white strong {
+      color: inherit; }
+    .hero.is-white .title {
+      color: #0a0a0a; }
+    .hero.is-white .subtitle {
+      color: rgba(10, 10, 10, 0.9); }
+      .hero.is-white .subtitle a:not(.button),
+      .hero.is-white .subtitle strong {
+        color: #0a0a0a; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-white .navbar-menu {
+        background-color: white; } }
+    .hero.is-white .navbar-item,
+    .hero.is-white .navbar-link {
+      color: rgba(10, 10, 10, 0.7); }
+    .hero.is-white a.navbar-item:hover, .hero.is-white a.navbar-item.is-active,
+    .hero.is-white .navbar-link:hover,
+    .hero.is-white .navbar-link.is-active {
+      background-color: #f2f2f2;
+      color: #0a0a0a; }
+    .hero.is-white .tabs a {
+      color: #0a0a0a;
+      opacity: 0.9; }
+      .hero.is-white .tabs a:hover {
+        opacity: 1; }
+    .hero.is-white .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-white .tabs.is-boxed a, .hero.is-white .tabs.is-toggle a {
+      color: #0a0a0a; }
+      .hero.is-white .tabs.is-boxed a:hover, .hero.is-white .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-white .tabs.is-boxed li.is-active a, .hero.is-white .tabs.is-boxed li.is-active a:hover, .hero.is-white .tabs.is-toggle li.is-active a, .hero.is-white .tabs.is-toggle li.is-active a:hover {
+      background-color: #0a0a0a;
+      border-color: #0a0a0a;
+      color: white; }
+    .hero.is-white.is-bold {
+      background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-white.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); } }
+  .hero.is-black {
+    background-color: #0a0a0a;
+    color: white; }
+    .hero.is-black a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-black strong {
+      color: inherit; }
+    .hero.is-black .title {
+      color: white; }
+    .hero.is-black .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-black .subtitle a:not(.button),
+      .hero.is-black .subtitle strong {
+        color: white; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-black .navbar-menu {
+        background-color: #0a0a0a; } }
+    .hero.is-black .navbar-item,
+    .hero.is-black .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-black a.navbar-item:hover, .hero.is-black a.navbar-item.is-active,
+    .hero.is-black .navbar-link:hover,
+    .hero.is-black .navbar-link.is-active {
+      background-color: black;
+      color: white; }
+    .hero.is-black .tabs a {
+      color: white;
+      opacity: 0.9; }
+      .hero.is-black .tabs a:hover {
+        opacity: 1; }
+    .hero.is-black .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-black .tabs.is-boxed a, .hero.is-black .tabs.is-toggle a {
+      color: white; }
+      .hero.is-black .tabs.is-boxed a:hover, .hero.is-black .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-black .tabs.is-boxed li.is-active a, .hero.is-black .tabs.is-boxed li.is-active a:hover, .hero.is-black .tabs.is-toggle li.is-active a, .hero.is-black .tabs.is-toggle li.is-active a:hover {
+      background-color: white;
+      border-color: white;
+      color: #0a0a0a; }
+    .hero.is-black.is-bold {
+      background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-black.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } }
+  .hero.is-light {
+    background-color: whitesmoke;
+    color: #363636; }
+    .hero.is-light a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-light strong {
+      color: inherit; }
+    .hero.is-light .title {
+      color: #363636; }
+    .hero.is-light .subtitle {
+      color: rgba(54, 54, 54, 0.9); }
+      .hero.is-light .subtitle a:not(.button),
+      .hero.is-light .subtitle strong {
+        color: #363636; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-light .navbar-menu {
+        background-color: whitesmoke; } }
+    .hero.is-light .navbar-item,
+    .hero.is-light .navbar-link {
+      color: rgba(54, 54, 54, 0.7); }
+    .hero.is-light a.navbar-item:hover, .hero.is-light a.navbar-item.is-active,
+    .hero.is-light .navbar-link:hover,
+    .hero.is-light .navbar-link.is-active {
+      background-color: #e8e8e8;
+      color: #363636; }
+    .hero.is-light .tabs a {
+      color: #363636;
+      opacity: 0.9; }
+      .hero.is-light .tabs a:hover {
+        opacity: 1; }
+    .hero.is-light .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-light .tabs.is-boxed a, .hero.is-light .tabs.is-toggle a {
+      color: #363636; }
+      .hero.is-light .tabs.is-boxed a:hover, .hero.is-light .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-light .tabs.is-boxed li.is-active a, .hero.is-light .tabs.is-boxed li.is-active a:hover, .hero.is-light .tabs.is-toggle li.is-active a, .hero.is-light .tabs.is-toggle li.is-active a:hover {
+      background-color: #363636;
+      border-color: #363636;
+      color: whitesmoke; }
+    .hero.is-light.is-bold {
+      background-image: linear-gradient(141deg, #dfd8d9 0%, whitesmoke 71%, white 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-light.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #dfd8d9 0%, whitesmoke 71%, white 100%); } }
+  .hero.is-dark, .content kbd.hero {
+    background-color: #363636;
+    color: whitesmoke; }
+    .hero.is-dark a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), .content kbd.hero a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-dark strong,
+    .content kbd.hero strong {
+      color: inherit; }
+    .hero.is-dark .title, .content kbd.hero .title {
+      color: whitesmoke; }
+    .hero.is-dark .subtitle, .content kbd.hero .subtitle {
+      color: rgba(245, 245, 245, 0.9); }
+      .hero.is-dark .subtitle a:not(.button), .content kbd.hero .subtitle a:not(.button),
+      .hero.is-dark .subtitle strong,
+      .content kbd.hero .subtitle strong {
+        color: whitesmoke; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-dark .navbar-menu, .content kbd.hero .navbar-menu {
+        background-color: #363636; } }
+    .hero.is-dark .navbar-item, .content kbd.hero .navbar-item,
+    .hero.is-dark .navbar-link,
+    .content kbd.hero .navbar-link {
+      color: rgba(245, 245, 245, 0.7); }
+    .hero.is-dark a.navbar-item:hover, .content kbd.hero a.navbar-item:hover, .hero.is-dark a.navbar-item.is-active, .content kbd.hero a.navbar-item.is-active,
+    .hero.is-dark .navbar-link:hover,
+    .content kbd.hero .navbar-link:hover,
+    .hero.is-dark .navbar-link.is-active,
+    .content kbd.hero .navbar-link.is-active {
+      background-color: #292929;
+      color: whitesmoke; }
+    .hero.is-dark .tabs a, .content kbd.hero .tabs a {
+      color: whitesmoke;
+      opacity: 0.9; }
+      .hero.is-dark .tabs a:hover, .content kbd.hero .tabs a:hover {
+        opacity: 1; }
+    .hero.is-dark .tabs li.is-active a, .content kbd.hero .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-dark .tabs.is-boxed a, .content kbd.hero .tabs.is-boxed a, .hero.is-dark .tabs.is-toggle a, .content kbd.hero .tabs.is-toggle a {
+      color: whitesmoke; }
+      .hero.is-dark .tabs.is-boxed a:hover, .content kbd.hero .tabs.is-boxed a:hover, .hero.is-dark .tabs.is-toggle a:hover, .content kbd.hero .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-dark .tabs.is-boxed li.is-active a, .content kbd.hero .tabs.is-boxed li.is-active a, .hero.is-dark .tabs.is-boxed li.is-active a:hover, .hero.is-dark .tabs.is-toggle li.is-active a, .content kbd.hero .tabs.is-toggle li.is-active a, .hero.is-dark .tabs.is-toggle li.is-active a:hover {
+      background-color: whitesmoke;
+      border-color: whitesmoke;
+      color: #363636; }
+    .hero.is-dark.is-bold, .content kbd.hero.is-bold {
+      background-image: linear-gradient(141deg, #1f191a 0%, #363636 71%, #46403f 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-dark.is-bold .navbar-menu, .content kbd.hero.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #1f191a 0%, #363636 71%, #46403f 100%); } }
+  .hero.is-primary, .docstring > section > a.hero.docs-sourcelink {
+    background-color: #4eb5de;
+    color: #fff; }
+    .hero.is-primary a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), .docstring > section > a.hero.docs-sourcelink a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-primary strong,
+    .docstring > section > a.hero.docs-sourcelink strong {
+      color: inherit; }
+    .hero.is-primary .title, .docstring > section > a.hero.docs-sourcelink .title {
+      color: #fff; }
+    .hero.is-primary .subtitle, .docstring > section > a.hero.docs-sourcelink .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-primary .subtitle a:not(.button), .docstring > section > a.hero.docs-sourcelink .subtitle a:not(.button),
+      .hero.is-primary .subtitle strong,
+      .docstring > section > a.hero.docs-sourcelink .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-primary .navbar-menu, .docstring > section > a.hero.docs-sourcelink .navbar-menu {
+        background-color: #4eb5de; } }
+    .hero.is-primary .navbar-item, .docstring > section > a.hero.docs-sourcelink .navbar-item,
+    .hero.is-primary .navbar-link,
+    .docstring > section > a.hero.docs-sourcelink .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-primary a.navbar-item:hover, .docstring > section > a.hero.docs-sourcelink a.navbar-item:hover, .hero.is-primary a.navbar-item.is-active, .docstring > section > a.hero.docs-sourcelink a.navbar-item.is-active,
+    .hero.is-primary .navbar-link:hover,
+    .docstring > section > a.hero.docs-sourcelink .navbar-link:hover,
+    .hero.is-primary .navbar-link.is-active,
+    .docstring > section > a.hero.docs-sourcelink .navbar-link.is-active {
+      background-color: #39acda;
+      color: #fff; }
+    .hero.is-primary .tabs a, .docstring > section > a.hero.docs-sourcelink .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-primary .tabs a:hover, .docstring > section > a.hero.docs-sourcelink .tabs a:hover {
+        opacity: 1; }
+    .hero.is-primary .tabs li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-primary .tabs.is-boxed a, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a, .hero.is-primary .tabs.is-toggle a, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-primary .tabs.is-boxed a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a:hover, .hero.is-primary .tabs.is-toggle a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-primary .tabs.is-boxed li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a, .hero.is-primary .tabs.is-boxed li.is-active a:hover, .hero.is-primary .tabs.is-toggle li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a, .hero.is-primary .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #4eb5de; }
+    .hero.is-primary.is-bold, .docstring > section > a.hero.is-bold.docs-sourcelink {
+      background-image: linear-gradient(141deg, #1bc7de 0%, #4eb5de 71%, #5fa9e7 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-primary.is-bold .navbar-menu, .docstring > section > a.hero.is-bold.docs-sourcelink .navbar-menu {
+          background-image: linear-gradient(141deg, #1bc7de 0%, #4eb5de 71%, #5fa9e7 100%); } }
+  .hero.is-link {
+    background-color: #2e63b8;
+    color: #fff; }
+    .hero.is-link a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-link strong {
+      color: inherit; }
+    .hero.is-link .title {
+      color: #fff; }
+    .hero.is-link .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-link .subtitle a:not(.button),
+      .hero.is-link .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-link .navbar-menu {
+        background-color: #2e63b8; } }
+    .hero.is-link .navbar-item,
+    .hero.is-link .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-link a.navbar-item:hover, .hero.is-link a.navbar-item.is-active,
+    .hero.is-link .navbar-link:hover,
+    .hero.is-link .navbar-link.is-active {
+      background-color: #2958a4;
+      color: #fff; }
+    .hero.is-link .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-link .tabs a:hover {
+        opacity: 1; }
+    .hero.is-link .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-link .tabs.is-boxed a, .hero.is-link .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-link .tabs.is-boxed a:hover, .hero.is-link .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-link .tabs.is-boxed li.is-active a, .hero.is-link .tabs.is-boxed li.is-active a:hover, .hero.is-link .tabs.is-toggle li.is-active a, .hero.is-link .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #2e63b8; }
+    .hero.is-link.is-bold {
+      background-image: linear-gradient(141deg, #1b6098 0%, #2e63b8 71%, #2d51d2 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-link.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #1b6098 0%, #2e63b8 71%, #2d51d2 100%); } }
+  .hero.is-info {
+    background-color: #209cee;
+    color: #fff; }
+    .hero.is-info a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-info strong {
+      color: inherit; }
+    .hero.is-info .title {
+      color: #fff; }
+    .hero.is-info .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-info .subtitle a:not(.button),
+      .hero.is-info .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-info .navbar-menu {
+        background-color: #209cee; } }
+    .hero.is-info .navbar-item,
+    .hero.is-info .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-info a.navbar-item:hover, .hero.is-info a.navbar-item.is-active,
+    .hero.is-info .navbar-link:hover,
+    .hero.is-info .navbar-link.is-active {
+      background-color: #1190e3;
+      color: #fff; }
+    .hero.is-info .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-info .tabs a:hover {
+        opacity: 1; }
+    .hero.is-info .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-info .tabs.is-boxed a, .hero.is-info .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-info .tabs.is-boxed a:hover, .hero.is-info .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-info .tabs.is-boxed li.is-active a, .hero.is-info .tabs.is-boxed li.is-active a:hover, .hero.is-info .tabs.is-toggle li.is-active a, .hero.is-info .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #209cee; }
+    .hero.is-info.is-bold {
+      background-image: linear-gradient(141deg, #05a6d6 0%, #209cee 71%, #3287f5 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-info.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #05a6d6 0%, #209cee 71%, #3287f5 100%); } }
+  .hero.is-success {
+    background-color: #22c35b;
+    color: #fff; }
+    .hero.is-success a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-success strong {
+      color: inherit; }
+    .hero.is-success .title {
+      color: #fff; }
+    .hero.is-success .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-success .subtitle a:not(.button),
+      .hero.is-success .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-success .navbar-menu {
+        background-color: #22c35b; } }
+    .hero.is-success .navbar-item,
+    .hero.is-success .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-success a.navbar-item:hover, .hero.is-success a.navbar-item.is-active,
+    .hero.is-success .navbar-link:hover,
+    .hero.is-success .navbar-link.is-active {
+      background-color: #1ead51;
+      color: #fff; }
+    .hero.is-success .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-success .tabs a:hover {
+        opacity: 1; }
+    .hero.is-success .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-success .tabs.is-boxed a, .hero.is-success .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-success .tabs.is-boxed a:hover, .hero.is-success .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-success .tabs.is-boxed li.is-active a, .hero.is-success .tabs.is-boxed li.is-active a:hover, .hero.is-success .tabs.is-toggle li.is-active a, .hero.is-success .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #22c35b; }
+    .hero.is-success.is-bold {
+      background-image: linear-gradient(141deg, #12a02c 0%, #22c35b 71%, #1fdf83 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-success.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #12a02c 0%, #22c35b 71%, #1fdf83 100%); } }
+  .hero.is-warning {
+    background-color: #ffdd57;
+    color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-warning strong {
+      color: inherit; }
+    .hero.is-warning .title {
+      color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning .subtitle {
+      color: rgba(0, 0, 0, 0.9); }
+      .hero.is-warning .subtitle a:not(.button),
+      .hero.is-warning .subtitle strong {
+        color: rgba(0, 0, 0, 0.7); }
+    @media screen and (max-width: 1055px) {
+      .hero.is-warning .navbar-menu {
+        background-color: #ffdd57; } }
+    .hero.is-warning .navbar-item,
+    .hero.is-warning .navbar-link {
+      color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning a.navbar-item:hover, .hero.is-warning a.navbar-item.is-active,
+    .hero.is-warning .navbar-link:hover,
+    .hero.is-warning .navbar-link.is-active {
+      background-color: #ffd83e;
+      color: rgba(0, 0, 0, 0.7); }
+    .hero.is-warning .tabs a {
+      color: rgba(0, 0, 0, 0.7);
+      opacity: 0.9; }
+      .hero.is-warning .tabs a:hover {
+        opacity: 1; }
+    .hero.is-warning .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-warning .tabs.is-boxed a, .hero.is-warning .tabs.is-toggle a {
+      color: rgba(0, 0, 0, 0.7); }
+      .hero.is-warning .tabs.is-boxed a:hover, .hero.is-warning .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-warning .tabs.is-boxed li.is-active a, .hero.is-warning .tabs.is-boxed li.is-active a:hover, .hero.is-warning .tabs.is-toggle li.is-active a, .hero.is-warning .tabs.is-toggle li.is-active a:hover {
+      background-color: rgba(0, 0, 0, 0.7);
+      border-color: rgba(0, 0, 0, 0.7);
+      color: #ffdd57; }
+    .hero.is-warning.is-bold {
+      background-image: linear-gradient(141deg, #ffae24 0%, #ffdd57 71%, #fffa71 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-warning.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #ffae24 0%, #ffdd57 71%, #fffa71 100%); } }
+  .hero.is-danger {
+    background-color: #da0b00;
+    color: #fff; }
+    .hero.is-danger a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current),
+    .hero.is-danger strong {
+      color: inherit; }
+    .hero.is-danger .title {
+      color: #fff; }
+    .hero.is-danger .subtitle {
+      color: rgba(255, 255, 255, 0.9); }
+      .hero.is-danger .subtitle a:not(.button),
+      .hero.is-danger .subtitle strong {
+        color: #fff; }
+    @media screen and (max-width: 1055px) {
+      .hero.is-danger .navbar-menu {
+        background-color: #da0b00; } }
+    .hero.is-danger .navbar-item,
+    .hero.is-danger .navbar-link {
+      color: rgba(255, 255, 255, 0.7); }
+    .hero.is-danger a.navbar-item:hover, .hero.is-danger a.navbar-item.is-active,
+    .hero.is-danger .navbar-link:hover,
+    .hero.is-danger .navbar-link.is-active {
+      background-color: #c10a00;
+      color: #fff; }
+    .hero.is-danger .tabs a {
+      color: #fff;
+      opacity: 0.9; }
+      .hero.is-danger .tabs a:hover {
+        opacity: 1; }
+    .hero.is-danger .tabs li.is-active a {
+      opacity: 1; }
+    .hero.is-danger .tabs.is-boxed a, .hero.is-danger .tabs.is-toggle a {
+      color: #fff; }
+      .hero.is-danger .tabs.is-boxed a:hover, .hero.is-danger .tabs.is-toggle a:hover {
+        background-color: rgba(10, 10, 10, 0.1); }
+    .hero.is-danger .tabs.is-boxed li.is-active a, .hero.is-danger .tabs.is-boxed li.is-active a:hover, .hero.is-danger .tabs.is-toggle li.is-active a, .hero.is-danger .tabs.is-toggle li.is-active a:hover {
+      background-color: #fff;
+      border-color: #fff;
+      color: #da0b00; }
+    .hero.is-danger.is-bold {
+      background-image: linear-gradient(141deg, #a70013 0%, #da0b00 71%, #f43500 100%); }
+      @media screen and (max-width: 768px) {
+        .hero.is-danger.is-bold .navbar-menu {
+          background-image: linear-gradient(141deg, #a70013 0%, #da0b00 71%, #f43500 100%); } }
+  .hero.is-small .hero-body, #documenter .docs-sidebar form.docs-search > input.hero .hero-body {
+    padding-bottom: 1.5rem;
+    padding-top: 1.5rem; }
+  @media screen and (min-width: 769px), print {
+    .hero.is-medium .hero-body {
+      padding-bottom: 9rem;
+      padding-top: 9rem; } }
+  @media screen and (min-width: 769px), print {
+    .hero.is-large .hero-body {
+      padding-bottom: 18rem;
+      padding-top: 18rem; } }
+  .hero.is-halfheight .hero-body, .hero.is-fullheight .hero-body, .hero.is-fullheight-with-navbar .hero-body {
+    align-items: center;
+    display: flex; }
+    .hero.is-halfheight .hero-body > .container, .hero.is-fullheight .hero-body > .container, .hero.is-fullheight-with-navbar .hero-body > .container {
+      flex-grow: 1;
+      flex-shrink: 1; }
+  .hero.is-halfheight {
+    min-height: 50vh; }
+  .hero.is-fullheight {
+    min-height: 100vh; }
+
+.hero-video {
+  overflow: hidden; }
+  .hero-video video {
+    left: 50%;
+    min-height: 100%;
+    min-width: 100%;
+    position: absolute;
+    top: 50%;
+    transform: translate3d(-50%, -50%, 0); }
+  .hero-video.is-transparent {
+    opacity: 0.3; }
+  @media screen and (max-width: 768px) {
+    .hero-video {
+      display: none; } }
+.hero-buttons {
+  margin-top: 1.5rem; }
+  @media screen and (max-width: 768px) {
+    .hero-buttons .button {
+      display: flex; }
+      .hero-buttons .button:not(:last-child) {
+        margin-bottom: 0.75rem; } }
+  @media screen and (min-width: 769px), print {
+    .hero-buttons {
+      display: flex;
+      justify-content: center; }
+      .hero-buttons .button:not(:last-child) {
+        margin-right: 1.5rem; } }
+.hero-head,
+.hero-foot {
+  flex-grow: 0;
+  flex-shrink: 0; }
+
+.hero-body {
+  flex-grow: 1;
+  flex-shrink: 0;
+  padding: 3rem 1.5rem; }
+
+.section {
+  padding: 3rem 1.5rem; }
+  @media screen and (min-width: 1056px) {
+    .section.is-medium {
+      padding: 9rem 1.5rem; }
+    .section.is-large {
+      padding: 18rem 1.5rem; } }
+.footer {
+  background-color: #fafafa;
+  padding: 3rem 1.5rem 6rem; }
+
+h1 .docs-heading-anchor, h1 .docs-heading-anchor:hover, h1 .docs-heading-anchor:visited, h2 .docs-heading-anchor, h2 .docs-heading-anchor:hover, h2 .docs-heading-anchor:visited, h3 .docs-heading-anchor, h3 .docs-heading-anchor:hover, h3 .docs-heading-anchor:visited, h4 .docs-heading-anchor, h4 .docs-heading-anchor:hover, h4 .docs-heading-anchor:visited, h5 .docs-heading-anchor, h5 .docs-heading-anchor:hover, h5 .docs-heading-anchor:visited, h6 .docs-heading-anchor, h6 .docs-heading-anchor:hover, h6 .docs-heading-anchor:visited {
+  color: #222222; }
+
+h1 .docs-heading-anchor-permalink, h2 .docs-heading-anchor-permalink, h3 .docs-heading-anchor-permalink, h4 .docs-heading-anchor-permalink, h5 .docs-heading-anchor-permalink, h6 .docs-heading-anchor-permalink {
+  visibility: hidden;
+  vertical-align: middle;
+  margin-left: 0.5em;
+  font-size: 0.7rem; }
+  h1 .docs-heading-anchor-permalink::before, h2 .docs-heading-anchor-permalink::before, h3 .docs-heading-anchor-permalink::before, h4 .docs-heading-anchor-permalink::before, h5 .docs-heading-anchor-permalink::before, h6 .docs-heading-anchor-permalink::before {
+    font-family: "Font Awesome 5 Free";
+    font-weight: 900;
+    content: "\f0c1"; }
+
+h1:hover .docs-heading-anchor-permalink, h2:hover .docs-heading-anchor-permalink, h3:hover .docs-heading-anchor-permalink, h4:hover .docs-heading-anchor-permalink, h5:hover .docs-heading-anchor-permalink, h6:hover .docs-heading-anchor-permalink {
+  visibility: visible; }
+
+.docs-dark-only {
+  display: none !important; }
+
+pre {
+  position: relative;
+  overflow: hidden; }
+  pre code, pre code.hljs {
+    padding: 0 0.75rem !important;
+    overflow: auto;
+    display: block; }
+  pre code:first-of-type, pre code.hljs:first-of-type {
+    padding-top: 0.5rem !important; }
+  pre code:last-of-type, pre code.hljs:last-of-type {
+    padding-bottom: 0.5rem !important; }
+  pre .copy-button {
+    opacity: 0.2;
+    transition: opacity 0.2s;
+    position: absolute;
+    right: 0em;
+    top: 0em;
+    padding: 0.5em;
+    width: 2.5em;
+    height: 2.5em;
+    background: transparent;
+    border: none;
+    font-family: "Font Awesome 5 Free";
+    color: #222222;
+    cursor: pointer;
+    text-align: center; }
+    pre .copy-button:focus, pre .copy-button:hover {
+      opacity: 1;
+      background: rgba(34, 34, 34, 0.1);
+      color: #2e63b8; }
+    pre .copy-button.success {
+      color: #259a12;
+      opacity: 1; }
+    pre .copy-button.error {
+      color: #cb3c33;
+      opacity: 1; }
+  pre:hover .copy-button {
+    opacity: 1; }
+
+.admonition {
+  background-color: #b5b5b5;
+  border-style: solid;
+  border-width: 1px;
+  border-color: #363636;
+  border-radius: 4px;
+  font-size: 1rem; }
+  .admonition strong {
+    color: currentColor; }
+  .admonition.is-small, #documenter .docs-sidebar form.docs-search > input.admonition {
+    font-size: 0.75rem; }
+  .admonition.is-medium {
+    font-size: 1.25rem; }
+  .admonition.is-large {
+    font-size: 1.5rem; }
+  .admonition.is-default {
+    background-color: #b5b5b5;
+    border-color: #363636; }
+    .admonition.is-default > .admonition-header {
+      background-color: #363636;
+      color: #fff; }
+    .admonition.is-default > .admonition-body {
+      color: #fff; }
+  .admonition.is-info {
+    background-color: #def0fc;
+    border-color: #209cee; }
+    .admonition.is-info > .admonition-header {
+      background-color: #209cee;
+      color: #fff; }
+    .admonition.is-info > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-success {
+    background-color: #bdf4d1;
+    border-color: #22c35b; }
+    .admonition.is-success > .admonition-header {
+      background-color: #22c35b;
+      color: #fff; }
+    .admonition.is-success > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-warning {
+    background-color: #fff3c5;
+    border-color: #ffdd57; }
+    .admonition.is-warning > .admonition-header {
+      background-color: #ffdd57;
+      color: rgba(0, 0, 0, 0.7); }
+    .admonition.is-warning > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-danger {
+    background-color: #ffaba7;
+    border-color: #da0b00; }
+    .admonition.is-danger > .admonition-header {
+      background-color: #da0b00;
+      color: #fff; }
+    .admonition.is-danger > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+  .admonition.is-compat {
+    background-color: #bdeff5;
+    border-color: #1db5c9; }
+    .admonition.is-compat > .admonition-header {
+      background-color: #1db5c9;
+      color: #fff; }
+    .admonition.is-compat > .admonition-body {
+      color: rgba(0, 0, 0, 0.7); }
+
+.admonition-header {
+  color: #fff;
+  background-color: #363636;
+  align-items: center;
+  font-weight: 700;
+  justify-content: space-between;
+  line-height: 1.25;
+  padding: 0.5rem 0.75rem;
+  position: relative; }
+  .admonition-header:before {
+    font-family: "Font Awesome 5 Free";
+    font-weight: 900;
+    margin-right: 0.75rem;
+    content: "\f06a"; }
+
+.admonition-body {
+  color: #222222;
+  padding: 0.5rem 0.75rem; }
+  .admonition-body pre {
+    background-color: whitesmoke; }
+  .admonition-body code {
+    background-color: rgba(0, 0, 0, 0.05); }
+
+.docstring {
+  margin-bottom: 1em;
+  background-color: transparent;
+  border: 1px solid #dbdbdb;
+  box-shadow: 2px 2px 3px rgba(10, 10, 10, 0.1);
+  max-width: 100%; }
+  .docstring > header {
+    display: flex;
+    flex-grow: 1;
+    align-items: stretch;
+    padding: 0.5rem 0.75rem;
+    background-color: whitesmoke;
+    box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1);
+    box-shadow: none;
+    border-bottom: 1px solid #dbdbdb; }
+    .docstring > header code {
+      background-color: transparent; }
+    .docstring > header .docstring-binding {
+      margin-right: 0.3em; }
+    .docstring > header .docstring-category {
+      margin-left: 0.3em; }
+  .docstring > section {
+    position: relative;
+    padding: 0.75rem 0.75rem;
+    border-bottom: 1px solid #dbdbdb; }
+    .docstring > section:last-child {
+      border-bottom: none; }
+    .docstring > section > a.docs-sourcelink {
+      transition: opacity 0.3s;
+      opacity: 0;
+      position: absolute;
+      right: 0.375rem;
+      bottom: 0.375rem; }
+      .docstring > section > a.docs-sourcelink:focus {
+        opacity: 1 !important; }
+  .docstring:hover > section > a.docs-sourcelink {
+    opacity: 0.2; }
+  .docstring:focus-within > section > a.docs-sourcelink {
+    opacity: 0.2; }
+  .docstring > section:hover a.docs-sourcelink {
+    opacity: 1; }
+
+.documenter-example-output {
+  background-color: white; }
+
+.outdated-warning-overlay {
+  position: fixed;
+  top: 0;
+  left: 0;
+  right: 0;
+  box-shadow: 0 0 10px rgba(0, 0, 0, 0.3);
+  z-index: 999;
+  background-color: #ffaba7;
+  color: rgba(0, 0, 0, 0.7);
+  border-bottom: 3px solid #da0b00;
+  padding: 10px 35px;
+  text-align: center;
+  font-size: 15px; }
+  .outdated-warning-overlay .outdated-warning-closer {
+    position: absolute;
+    top: calc(50% - 10px);
+    right: 18px;
+    cursor: pointer;
+    width: 12px; }
+  .outdated-warning-overlay a {
+    color: #2e63b8; }
+    .outdated-warning-overlay a:hover {
+      color: #363636; }
+
+.content pre {
+  border: 1px solid #dbdbdb; }
+
+.content code {
+  font-weight: inherit; }
+
+.content a code {
+  color: #2e63b8; }
+
+.content h1 code, .content h2 code, .content h3 code, .content h4 code, .content h5 code, .content h6 code {
+  color: #222222; }
+
+.content table {
+  display: block;
+  width: initial;
+  max-width: 100%;
+  overflow-x: auto; }
+
+.content blockquote > ul:first-child, .content blockquote > ol:first-child, .content .admonition-body > ul:first-child, .content .admonition-body > ol:first-child {
+  margin-top: 0; }
+
+pre, code {
+  font-variant-ligatures: no-contextual; }
+
+.breadcrumb a.is-disabled {
+  cursor: default;
+  pointer-events: none; }
+  .breadcrumb a.is-disabled, .breadcrumb a.is-disabled:hover {
+    color: #222222; }
+
+.hljs {
+  background: initial !important; }
+
+.katex .katex-mathml {
+  top: 0;
+  right: 0; }
+
+.katex-display, mjx-container, .MathJax_Display {
+  margin: 0.5em 0 !important; }
+
+html {
+  -moz-osx-font-smoothing: auto;
+  -webkit-font-smoothing: auto; }
+
+li.no-marker {
+  list-style: none; }
+
+/* This file contain the overall layout.
+ *
+ * The main container is <div> that is identified by id #documenter.
+ */
+#documenter .docs-main > article {
+  overflow-wrap: break-word; }
+  #documenter .docs-main > article .math-container {
+    overflow-x: auto;
+    overflow-y: hidden; }
+
+@media screen and (min-width: 1056px) {
+  #documenter .docs-main {
+    max-width: 52rem;
+    margin-left: 20rem;
+    padding-right: 1rem; } }
+
+@media screen and (max-width: 1055px) {
+  #documenter .docs-main {
+    width: 100%; }
+    #documenter .docs-main > article {
+      max-width: 52rem;
+      margin-left: auto;
+      margin-right: auto;
+      margin-bottom: 1rem;
+      padding: 0 1rem; }
+    #documenter .docs-main > header, #documenter .docs-main > nav {
+      max-width: 100%;
+      width: 100%;
+      margin: 0; } }
+
+#documenter .docs-main header.docs-navbar {
+  background-color: white;
+  border-bottom: 1px solid #dbdbdb;
+  z-index: 2;
+  min-height: 4rem;
+  margin-bottom: 1rem;
+  display: flex; }
+  #documenter .docs-main header.docs-navbar .breadcrumb {
+    flex-grow: 1; }
+  #documenter .docs-main header.docs-navbar .docs-right {
+    display: flex;
+    white-space: nowrap; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-icon, #documenter .docs-main header.docs-navbar .docs-right .docs-label, #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+      display: inline-block; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-label {
+      padding: 0;
+      margin-left: 0.3em; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-settings-button {
+      margin: auto 0 auto 1rem; }
+    #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button {
+      font-size: 1.5rem;
+      margin: auto 0 auto 1rem; }
+  #documenter .docs-main header.docs-navbar > * {
+    margin: auto 0; }
+  @media screen and (max-width: 1055px) {
+    #documenter .docs-main header.docs-navbar {
+      position: sticky;
+      top: 0;
+      padding: 0 1rem;
+      /* For Headroom.js */
+      transition-property: top, box-shadow;
+      -webkit-transition-property: top, box-shadow;
+      /* Safari */
+      transition-duration: 0.3s;
+      -webkit-transition-duration: 0.3s;
+      /* Safari */ }
+      #documenter .docs-main header.docs-navbar.headroom--not-top {
+        box-shadow: 0.2rem 0rem 0.4rem #bbb;
+        transition-duration: 0.7s;
+        -webkit-transition-duration: 0.7s;
+        /* Safari */ }
+      #documenter .docs-main header.docs-navbar.headroom--unpinned.headroom--not-top.headroom--not-bottom {
+        top: -4.5rem;
+        transition-duration: 0.7s;
+        -webkit-transition-duration: 0.7s;
+        /* Safari */ } }
+#documenter .docs-main section.footnotes {
+  border-top: 1px solid #dbdbdb; }
+  #documenter .docs-main section.footnotes li .tag:first-child, #documenter .docs-main section.footnotes li .docstring > section > a.docs-sourcelink:first-child, #documenter .docs-main section.footnotes li .content kbd:first-child, .content #documenter .docs-main section.footnotes li kbd:first-child {
+    margin-right: 1em;
+    margin-bottom: 0.4em; }
+
+#documenter .docs-main .docs-footer {
+  display: flex;
+  flex-wrap: wrap;
+  margin-left: 0;
+  margin-right: 0;
+  border-top: 1px solid #dbdbdb;
+  padding-top: 1rem;
+  padding-bottom: 1rem; }
+  @media screen and (max-width: 1055px) {
+    #documenter .docs-main .docs-footer {
+      padding-left: 1rem;
+      padding-right: 1rem; } }
+  #documenter .docs-main .docs-footer .docs-footer-nextpage, #documenter .docs-main .docs-footer .docs-footer-prevpage {
+    flex-grow: 1; }
+  #documenter .docs-main .docs-footer .docs-footer-nextpage {
+    text-align: right; }
+  #documenter .docs-main .docs-footer .flexbox-break {
+    flex-basis: 100%;
+    height: 0; }
+  #documenter .docs-main .docs-footer .footer-message {
+    font-size: 0.8em;
+    margin: 0.5em auto 0 auto;
+    text-align: center; }
+
+#documenter .docs-sidebar {
+  display: flex;
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new file mode 100644
index 000000000..c58e993e3
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+function maybeAddWarning () {
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diff --git a/v0.5.0/index.html b/v0.5.0/index.html
new file mode 100644
index 000000000..e4628bdf9
--- /dev/null
+++ b/v0.5.0/index.html
@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Home · GeoParams.jl</title><script data-outdated-warner src="assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="assets/documenter.js"></script><script src="siteinfo.js"></script><script src="../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href><img src="assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href>GeoParams.jl</a></span></div><form class="docs-search" action="search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li class="is-active"><a class="tocitem" href>Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="man/geounit/">GeoUnit</a></li><li><a class="tocitem" href="man/nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="man/materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="man/density/">Density</a></li><li><a class="tocitem" href="man/creeplaws/">Creep laws</a></li><li><a class="tocitem" href="man/customrheology/">Custom rheology</a></li><li><a class="tocitem" href="man/elasticity/">Elasticity</a></li><li><a class="tocitem" href="man/plasticity/">Plasticity</a></li><li><a class="tocitem" href="man/heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="man/conductivity/">Conductivity</a></li><li><a class="tocitem" href="man/latentheat/">Latent heat</a></li><li><a class="tocitem" href="man/radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="man/shearheating/">Shear heating</a></li><li><a class="tocitem" href="man/gravity/">Gravity</a></li><li><a class="tocitem" href="man/melting/">Partial Melting</a></li><li><a class="tocitem" href="man/TASclassification/">TAS classification</a></li><li><a class="tocitem" href="man/zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="man/phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="man/seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="man/strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="man/plotting/">Plotting</a></li><li><a class="tocitem" href="man/listfunctions/">List of functions</a></li><li><a class="tocitem" href="man/contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Home</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Home</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/index.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="GeoParams.jl"><a class="docs-heading-anchor" href="#GeoParams.jl">GeoParams.jl</a><a id="GeoParams.jl-1"></a><a class="docs-heading-anchor-permalink" href="#GeoParams.jl" title="Permalink"></a></h1><p>Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:</p><ul><li>Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).</li><li>Material parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. </li></ul><p>We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="man/geounit/">GeoUnit »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Wednesday 28 June 2023 08:16">Wednesday 28 June 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>TAS classification · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li class="is-active"><a class="tocitem" href>TAS classification</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routine"><span>Computational routine</span></a></li></ul></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>TAS classification</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>TAS classification</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/TASclassification.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="TAS-rock-classification"><a class="docs-heading-anchor" href="#TAS-rock-classification">TAS rock classification</a><a id="TAS-rock-classification-1"></a><a class="docs-heading-anchor-permalink" href="#TAS-rock-classification" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>When doing coupled petrological-geodynamic modelling, the evolution of the composition of the magma is more easily understood when a rock type is given. This routine is an implementation of the TAS diagram (Total Alkali (TA) vs Silica (S)) from Le Maitre et al., 2002.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.TASclassificationData" href="#GeoParams.TASclassification.TASclassificationData"><code>GeoParams.TASclassification.TASclassificationData</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">TASclassificationData
+
+Struct that holds default parameters for the TAS diagram</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/RockClassification/TASclassification.jl#L47-L51">source</a></section></article><h1 id="Computational-routine"><a class="docs-heading-anchor" href="#Computational-routine">Computational routine</a><a id="Computational-routine-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routine" title="Permalink"></a></h1><p>There is one routine with which you can retrieve the index of the TAS rock-type. The routine receives as an input a compositional vector [SiO2,Na2O+K2O] in wt% and sends back an index [1-15].</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.computeTASclassification" href="#GeoParams.TASclassification.computeTASclassification"><code>GeoParams.TASclassification.computeTASclassification</code></a> — <span class="docstring-category">Function</span></header><section><div><p>classIndex computeTASclassification(chemComp::AbstractArray{_T,N}, ClassTASdata::TASclassificationData)</p><p>This compute the classification of the igneous rock using TAS diagram (Total Alkali (TA) vs Silica (S)).</p><p><strong>Input:</strong></p><ul><li><code>chemComp</code> : vector rock composition in oxide wt%</li></ul><p>Output:</p><ul><li><code>classIndex</code> : an integer [0-14] corresponding to a TAS field (TASclassificationData.litho[classIndex])</li></ul><p>This routine was developed based the TAS classification of Le Maitre et al., 2002</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/RockClassification/TASclassification.jl#L113-L127">source</a></section></article><p>Using the index of the rock-type you can get the name of the corresponding volcanic rock using the following routine.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.retrieveTASrockType" href="#GeoParams.TASclassification.retrieveTASrockType"><code>GeoParams.TASclassification.retrieveTASrockType</code></a> — <span class="docstring-category">Function</span></header><section><div><p>retrieveTASrockType(index::Int64; ClassTASdata::TASclassificationData = TASclassificationData())</p><p>This retrieves the name of the volcanic rock-type using the computed index</p><p><strong>Input:</strong></p><ul><li><code>index</code> : integer [1-15]</li></ul><p>Output:</p><ul><li><code>litho</code> : a string of the name of corresponding volcanic rock</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/RockClassification/TASclassification.jl#L93-L105">source</a></section></article><p>We also provide a plotting routine, provided the <code>Plots</code> package is loaded, which produces figures such as: <img src="../assets/img/TAS_diagram.png" alt="subet3"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../melting/">« Partial Melting</a><a class="docs-footer-nextpage" href="../zirconages/">Zircon Ages »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Wednesday 28 June 2023 08:16">Wednesday 28 June 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Conductivity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Conductivity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/conductivity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Conductivity"><a class="docs-heading-anchor" href="#Conductivity">Conductivity</a><a id="Conductivity-1"></a><a class="docs-heading-anchor-permalink" href="#Conductivity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Thermal conductivity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.ConstantConductivity" href="#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantConductivity(k=3.0W/m/K)</code></pre><p>Set a constant conductivity</p><p class="math-container">\[    k  = cst\]</p><p>where <span>$k$</span> is the thermal conductivity [<span>$W/m/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Energy/Conductivity.jl#L29-L37">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington" href="#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Conductivity_Whittington()</code></pre><p>Sets a temperature-dependent conductivity following the parameterization of <em>Whittington, A.G., Hofmeister, A.M., Nabelek, P.I., 2009. Temperature-dependent thermal diffusivity of the Earth’s crust and implications for magmatism. Nature 458, 319–321. https://doi.org/10.1038/nature07818.</em>  Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us to compute </p><p class="math-container">\[    Cp = a + b T - c/T^2 \]</p><p class="math-container">\[    \kappa = d/T - e \textrm{ if } T&lt;=846K\]</p><p class="math-container">\[    \kappa = f - g*T \textrm{ if } T&gt;846K\]</p><p class="math-container">\[    \rho = 2700 kg/m^3\]</p><p class="math-container">\[    k = \kappa \rho Cp\]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/mol/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <code>T</code>:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>d = 576.3m^2/s*K      </li><li>e = 0.062m^2/s        </li><li>f = 0.732m^2/s        </li><li>g = 0.000135m^2/s/K </li></ul><p>This looks like:</p><p><img src="../assets/img/Conductivity_Whittington.png" alt="subet1"/></p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; using GeoParams, Plots
+julia&gt; p=T_Conductivity_Whittington();
+julia&gt; T,k,plt = PlotConductivity(p)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Energy/Conductivity.jl#L80-L126">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised" href="#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Conductivity_Whittington_parameterised()</code></pre><p>Sets a temperature-dependent conductivity that is  parameterization after <em>Whittington, et al.  2009</em> </p><p>The original parameterization involves quite a few parameters; this is a polynomial fit that is roughly valid from 0-1000 Celsius</p><p class="math-container">\[    k [W/m/K] = -2 10^{-9} (T-Ts)^3 + 6 10^{-6} (T-Ts)^2 - 0.0062 (T-Ts) + 4\]</p><p class="math-container">\[    Ts = 273.15 K\]</p><p>where <code>T[K]</code> is the temperature in Kelvin (or the nondimensional equivalent of it).</p><p>The comparison of this parameterisation vs. the original one is: <img src="../assets/img/Conductivity_Whittington_smooth.png" alt="subet1"/></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Energy/Conductivity.jl#L217-L235">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">TP_Conductivity()</code></pre><p>Sets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for  </p><p class="math-container">\[    k = \left( a_k +  {b_k \over {T + c_k}} \right) (1 + d_k P) \]</p><p>where <span>$k$</span> is the conductivity [<span>$W/K/m$</span>], and <span>$a_k,b_k,c_k,d_k$</span> are parameters that dependent on the temperature <code>T</code> and pressure <code>P</code>:</p><ul><li><span>$a_k$</span> = 1.18Watt/K/m    </li><li><span>$b_k$</span> = 474Watt/m </li><li><span>$c_k$</span> = 77K       </li><li><span>$d_k$</span> = 0/MPa       </li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Energy/Conductivity.jl#L312-L327">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">Set_TP_Conductivity[&quot;Name of temperature(-pressure) dependent conductivity&quot;]</code></pre><p>This is a dictionary with pre-defined laws:</p><ul><li>&quot;UpperCrust&quot;    </li><li>&quot;LowerCrust&quot;</li><li>&quot;OceanicCrust&quot;</li><li>&quot;Mantle&quot;</li></ul><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; k=Set_TP_Conductivity[&quot;Mantle&quot;]
+T/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)  </code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Energy/Conductivity.jl#L350-L365">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">k = compute_conductivity(P, T, s:&lt;AbstractConductivity)</code></pre><p>Returns the thermal conductivity <code>k</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the parameterizations implemented.</p><p>Currently available:</p><ul><li>ConstantConductivity</li><li>T_Conductivity_Whittington</li><li>TP_Conductivity</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia hljs">julia&gt; T  = (250:100:1250)*K;
+julia&gt; cp = T_HeatCapacity_Whittington()
+julia&gt; Cp = ComputeHeatCapacity(0,T,cp)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Energy/Conductivity.jl#L497-L516">source</a></section><section><div><pre><code class="nohighlight hljs">compute_conductivity!(K::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},Temp::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of conductivity <code>K</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>Temp</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p>_________________________________________________________________________________________________________</p><p>compute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</p><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Energy/Conductivity.jl#L538-L550">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity!" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_conductivity(k_array::AbstractArray{&lt;:AbstractFloat,N},P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, s::ConstantConductivity) where N</code></pre><p>In-place routine to compute constant conductivity    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Energy/Conductivity.jl#L64-L68">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../heatcapacity/">« Heat Capacity</a><a class="docs-footer-nextpage" href="../latentheat/">Latent heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Wednesday 28 June 2023 08:16">Wednesday 28 June 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Contributing</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Contributing</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/contributing.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Contributing"><a class="docs-heading-anchor" href="#Contributing">Contributing</a><a id="Contributing-1"></a><a class="docs-heading-anchor-permalink" href="#Contributing" title="Permalink"></a></h1><p>This page details the some of the guidelines that should be followed when contributing to this package.</p><p>You can contribute for example by adding new creep laws or by adding new constitutive relationships. If you invest a bit of time now, it will save others in the community a lot of time! The simplest way to do this is by cloning the repository, and creating a new branch for your feature. Once you are happy with what you added (and after you added a test to ensure that it will keep working with future changes), create a pull request and we will evaluate &amp; merge it.</p><h2 id="Style-Guide"><a class="docs-heading-anchor" href="#Style-Guide">Style Guide</a><a id="Style-Guide-1"></a><a class="docs-heading-anchor-permalink" href="#Style-Guide" title="Permalink"></a></h2><p>Follow the style of the surrounding text when making changes. When adding new features please try to stick to the following points whenever applicable.</p><h3 id="Julia"><a class="docs-heading-anchor" href="#Julia">Julia</a><a id="Julia-1"></a><a class="docs-heading-anchor-permalink" href="#Julia" title="Permalink"></a></h3><ul><li>4-space indentation;</li><li>modules spanning entire files should not be indented, but modules that have surrounding code should;</li><li>no blank lines at the start or end of files;</li><li>do not manually align syntax such as <code>=</code> or <code>::</code> over adjacent lines;</li><li>use <code>function ... end</code> when a method definition contains more than one toplevel expression;</li><li>related short-form method definitions don&#39;t need a new line between them;</li><li>unrelated or long-form method definitions must have a blank line separating each one;</li><li>surround all binary operators with whitespace except for <code>::</code>, <code>^</code>, and <code>:</code>;</li><li>files containing a single <code>module ... end</code> must be named after the module;</li><li>method arguments should be ordered based on the amount of usage within the method body;</li><li>methods extended from other modules must follow their inherited argument order, not the above rule;</li><li>explicit <code>return</code> should be preferred except in short-form method definitions;</li><li>avoid dense expressions where possible e.g. prefer nested <code>if</code>s over complex nested <code>?</code>s;</li><li>include a trailing <code>,</code> in vectors, tuples, or method calls that span several lines;</li><li>do not use multiline comments (<code>#=</code> and <code>=#</code>);</li><li>wrap long lines as near to 92 characters as possible, this includes docstrings;</li><li>follow the standard naming conventions used in <code>Base</code>.</li></ul><h3 id="Markdown"><a class="docs-heading-anchor" href="#Markdown">Markdown</a><a id="Markdown-1"></a><a class="docs-heading-anchor-permalink" href="#Markdown" title="Permalink"></a></h3><ul><li>Use unbalanced <code>#</code> headers, i.e. no <code>#</code> on the right hand side of the header text;</li><li>include a single blank line between toplevel blocks;</li><li>unordered lists must use <code>*</code> bullets with two preceding spaces;</li><li>do <em>not</em> hard wrap lines;</li><li>use emphasis (<code>*</code>) and bold (<code>**</code>) sparingly;</li><li>always use fenced code blocks instead of indented blocks;</li><li>follow the conventions outlined in the Julia documentation page on documentation.</li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../listfunctions/">« List of functions</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Wednesday 28 June 2023 08:16">Wednesday 28 June 2023</span>. 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href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Creep laws</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Creep laws</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/creeplaws.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="CreepLaws"><a class="docs-heading-anchor" href="#CreepLaws">CreepLaws</a><a id="CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#CreepLaws" title="Permalink"></a></h1><h1 id="Implemented-creep-laws"><a class="docs-heading-anchor" href="#Implemented-creep-laws">Implemented creep laws</a><a id="Implemented-creep-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-creep-laws" title="Permalink"></a></h1><p>The following viscous creep laws are implemented:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">LinearViscous(η=1e20Pa*s)</code></pre><p>Defines a linear viscous creeplaw </p><p>The (isotopic) linear viscous rheology is given by  </p><p class="math-container">\[    \tau_{ij} = 2 \eta \dot{\varepsilon}_{ij} \]</p><p>or</p><p class="math-container">\[    \dot{\varepsilon}_{ij}  = {\tau_{ij}  \over 2 \eta }\]</p><p>where <span>$\eta_0$</span> is the reference viscosity [Pa*s] at reference strain rate <span>$\dot{\varepsilon}_0$</span>[1/s], and <span>$n$</span> the power law exponent []. </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/CreepLaw/CreepLaw.jl#L61-L76">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)</code></pre><p>Defines a power law viscous creeplaw as: </p><p class="math-container">\[    \tau_{ij}^n  = 2 \eta_0 \left( \dot{\varepsilon}_{ij} \over \dot{\varepsilon}_0 \right)\]</p><p>where <span>$\eta$</span> is the effective viscosity [Pa*s].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/CreepLaw/CreepLaw.jl#L273-L282">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DislocationCreep(n = 1.0NoUnits, r = 0.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )</code></pre><p>Defines the flow law parameter of a dislocation creep law.</p><p>The (isotropic) dislocation creep law, as used by experimentalists, is given by  </p><p class="math-container">\[     \dot{\gamma} = A \sigma_\mathrm{d}^n f_\mathrm{H2O}^r \exp\left(-\frac{E+PV}{RT}\right)\]</p><p>where </p><ul><li><span>$n$</span> is the power law exponent  </li><li><span>$r$</span> is the exponent of fugacity dependence </li><li><span>$A$</span> is a pre-exponential factor <span>$[\mathrm{MPa}^{-n}s^{-1}]$</span> (if manually defined, <span>$n$</span> and <span>$r$</span> must be either pre-defined or substituted) </li><li><span>$E$</span> is the activation energy <span>$\mathrm{[kJ/mol]}$</span> </li><li><span>$V$</span> is the activation volume <span>$\mathrm{[m^3/mol]}$</span> </li><li><span>$\dot{\gamma}$</span> is the strain rate <span>$\mathrm{[1/s]}$</span> </li><li><span>$\sigma_\mathrm{d}$</span> is the differential stress <span>$\mathrm{[MPa]}$</span> which are converted into second invariants using the <code>Apparatus</code> variable that can be</li></ul><p>either <code>AxialCompression</code>, <code>SimpleShear</code> or <code>Invariant</code>. If the flow law parameters are already given as a function of second invariants, choose <code>Apparatus=Invariant</code>.</p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; x2 = DislocationCreep(n=3)
+DislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/CreepLaw/DislocationCreep.jl#L18-L42">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetDislocationCreep[&quot;Name of Dislocation Creep&quot;]</code></pre><p>Sets predefined dislocation creep data from a dictionary</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/CreepLaw/Data/DislocationCreep.jl#L2-L7">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DiffusionCreep(r = 0NoUnits, p = A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )</code></pre><p>Defines the flow law parameter of a dislocation creep law.</p><p>The (isotropic) diffusion creep law, as used by experimentalists, is given by  </p><p class="math-container">\[     \dot{\gamma} = A \sigma_\mathrm{d} d^{\mathrm{p}} f_\mathrm{H2O}^r \exp\left(-\frac{E+PV}{RT}\right)\]</p><p>where </p><ul><li><span>$r$</span> is the exponent of fugacity dependence </li><li><span>$p$</span> is the exponent of grain size</li><li><span>$A$</span> is a pre-exponential factor <span>$[\mathrm{MPa}^{-n}s^{-1}]$</span> (if manually defined, <span>$n$</span> and <span>$r$</span> must be either pre-defined or substituted) </li><li><span>$E$</span> is the activation energy <span>$\mathrm{[kJ/mol]}$</span> </li><li><span>$V$</span> is the activation volume <span>$\mathrm{[m^3/mol]}$</span> </li><li><span>$\dot{\gamma}$</span> is the strain rate <span>$\mathrm{[1/s]}$</span> </li><li><span>$\sigma_\mathrm{d}$</span> is the differential stress <span>$\mathrm{[MPa]}$</span></li></ul><p>The experimental parameters are converted into second invariants using the <code>Apparatus</code> variable that can be either <code>AxialCompression</code>, <code>SimpleShear</code> or <code>Invariant</code>. If the flow law parameters are already given as a function of second invariants, choose <code>Apparatus=Invariant</code>.</p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; x2 = DiffusionCreep(Name=&quot;test&quot;)
+DiffusionCreep: Name = test, n=1.0, r=0.0, p=-3.0, A=1.5 m³·⁰ MPa⁻¹·⁰ s⁻¹·⁰, E=500.0 kJ mol⁻¹·⁰, V=2.4e-5 m³·⁰ mol⁻¹·⁰, FT=1.7320508075688772, FE=1.1547005383792517)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/CreepLaw/DiffusionCreep.jl#L23-L49">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetDiffusionCreep[&quot;Name of Diffusion Creep&quot;]</code></pre><p>This is a dictionary with pre-defined creep laws    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/CreepLaw/Data/DiffusionCreep.jl#L4-L7">source</a></section></article><h1 id="Computational-routines-for-creep-laws"><a class="docs-heading-anchor" href="#Computational-routines-for-creep-laws">Computational routines for creep laws</a><a id="Computational-routines-for-creep-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines-for-creep-laws" title="Permalink"></a></h1><p>Once a creep rheology is defined, we can use the following routines to perform computations within the solvers</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>CreepLawVariables</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_εII(a::DiffusionCreep, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)</code></pre><p>Returns diffusion creep strainrate as a function of 2nd invariant of the stress tensor <span>$\tau_{II}$</span> </p><p class="math-container">\[    \dot{ε}_{II} = A τ_{II}^n d^{p} f_{H_2O}^r \exp \left(- {{E + PV} \over RT} \right)\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/CreepLaw/DiffusionCreep.jl#L168-L177">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(s::ConstantElasticity{_T}, τII; τII_old, dt)</code></pre><p>Computes elastic strainrate given the deviatoric stress at the current (<code>τII</code>) and old timestep (<code>τII_old</code>), for a timestep <code>dt</code>:</p><p class="math-container">\[    \dot{\varepsilon}^{el} = {1 \over 2 G} {D \tau_{II} \over Dt } ≈ {1 \over 2 G} {\tau_{II}- \tilde{\tau}_{II}^{old} \over dt }\]</p><p>Note that we here solve the scalar equation, which is sufficient for isotropic cases. In tensor form, it would be</p><p class="math-container">\[    {\dot{\varepsilon}^{el}}_{ij} = {1 \over 2 G} { \tau_{ij} - \tilde{{\tau_{ij}}}^{old} \over dt }\]</p><p>here <span>$\tilde{{\tau_{ij}}}^{old}$</span> is the rotated old deviatoric stress tensor to ensure objectivity (this can be done with Jaumann derivative, or also by using the full rotational formula).</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Elasticity/Elasticity.jl#L104-L118">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(p::DruckerPrager{_T,U,U1}, λdot::_T, τII::_T,  P)</code></pre><p>This computes plastic strain rate invariant for a given <span>$λdot$</span></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Plasticity/DruckerPrager.jl#L126-L130">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(p::DruckerPrager_regularised{_T,U,U1}, λdot::_T, τII::_T,  P)</code></pre><p>This computes plastic strain rate invariant for a given <span>$λdot$</span></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Plasticity/DruckerPrager_regularised.jl#L129-L133">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::Parallel{T,N}, τII, args; tol=1e-6, verbose=false, n=1)</code></pre><p>Computing <code>εII</code> as a function of <code>τII</code> for a Parallel elements is (usually) a nonlinear problem</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/CompositeRheologies/Parallel.jl#L49-L53">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::CompositeRheology{T,N}, τII, args; tol=1e-6, verbose=false, n=1)</code></pre><p>Computing <code>εII</code> as a function of <code>τII</code> for a composite element is the sum of the individual contributions</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/CompositeRheologies/CompositeRheology.jl#L76-L80">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::AbstractPlasticity, τII::_T, args; tol=1e-6, verbose=true)</code></pre><p>Performs local iterations to compute the plastic strainrate. Note that the non-plastic strainrate, ε_np, should be part of <code>args</code></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/CompositeRheologies/NonlinearIterations.jl#L127-L131">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)</code></pre><p>Computes strainrate as a function of stress</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/CreepLaw/DiffusionCreep.jl#L202-L206">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, s::LinearViscous, TauII::AbstractArray{_T,N})</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/CreepLaw/CreepLaw.jl#L94-L97">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, s::ArrheniusType, TauII::AbstractArray{_T,N})</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/CreepLaw/CreepLaw.jl#L206-L209">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(ε_el::AbstractArray{_T,N}, s::ConstantElasticity{_T}; τII::AbstractArray{_T,N}, τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)</code></pre><p>In-place computation of the elastic shear strainrate for given deviatoric stress invariants at the previous (<code>τII_old</code>) and new (<code>τII</code>) timestep, as well as the timestep <code>dt</code>  </p><p class="math-container">\[    \dot{\varepsilon}^{el} = {1 \over 2 G} {D \tau_{II} \over Dt } ≈ {1 \over 2 G} {\tau_{II}- \tau_{II}^{old} \over dt }\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Elasticity/Elasticity.jl#L148-L157">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_τII(a::DislocationCreep, EpsII; P, T, f, args...)</code></pre><p>Computes the stress for a Dislocation creep law given a certain strain rate</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/CreepLaw/DislocationCreep.jl#L225-L230">source</a></section><section><div><pre><code class="nohighlight hljs">computeCreepLaw_TauII(EpsII::_T, a::DiffusionCreep; T::_T, P=zero(_T), f=one(_T), d=one(_T), kwargs...)</code></pre><p>Returns diffusion creep stress as a function of 2nd invariant of the strain rate </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/CreepLaw/DiffusionCreep.jl#L262-L266">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(s::LinearViscous, EpsII; kwargs...)</code></pre><p>Returns second invariant of the stress tensor given a 2nd invariant of strain rate tensor </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/CreepLaw/CreepLaw.jl#L120-L124">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(s::ArrheniusType, EpsII; kwargs...)</code></pre><p>Returns second invariant of the stress tensor given a 2nd invariant of strain rate tensor </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/CreepLaw/CreepLaw.jl#L230-L234">source</a></section><section><div><pre><code class="nohighlight hljs">τII = compute_τII(v::CompositeRheology{T,N}, εII, args; tol=1e-6, verbose=false)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/CompositeRheologies/CompositeRheology.jl#L208-L211">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_τII!(TauII::AbstractArray{_T,N}, a::DislocationCreep, EpsII::AbstractArray{_T,N}; 
+    P =       zero(TauII)::AbstractArray{_T,N}, 
+    T = ones(size(TauII))::AbstractArray{_T,N}, 
+    f = ones(size(TauII))::AbstractArray{_T,N})</code></pre><p>Computes the deviatoric stress invariant for a dislocation creep law</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/CreepLaw/DislocationCreep.jl#L264-L271">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII!(τII::AbstractArray{_T,N}, s::ConstantElasticity{_T}. ε_el::AbstractArray{_T,N}; τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)</code></pre><p>In-place update of the elastic stress for given deviatoric strainrate invariants and stres invariant at the old (<code>τII_old</code>) timestep, as well as the timestep <code>dt</code>  </p><p class="math-container">\[    \tau_{II} = 2 G dt \dot{\varepsilon}^{el} + \tau_{II}^{old}\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Elasticity/Elasticity.jl#L172-L181">source</a></section></article><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.CorrectionFactor</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.RemoveTensorCorrection</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../density/">« Density</a><a class="docs-footer-nextpage" href="../customrheology/">Custom rheology »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Wednesday 28 June 2023 08:16">Wednesday 28 June 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.0/man/customrheology/index.html b/v0.5.0/man/customrheology/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Custom rheology · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li class="is-active"><a class="tocitem" href>Custom rheology</a><ul class="internal"><li><a class="tocitem" href="#Example:-Arrhenious-type-rheology"><span>Example: Arrhenious-type rheology</span></a></li></ul></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Custom rheology</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Custom rheology</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/customrheology.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="User-defined-rheology"><a class="docs-heading-anchor" href="#User-defined-rheology"><code>User-defined rheology</code></a><a id="User-defined-rheology-1"></a><a class="docs-heading-anchor-permalink" href="#User-defined-rheology" title="Permalink"></a></h1><p><code>CustomRheology</code> allows the user to interface with <code>GeoParams.jl</code> API for rheology calculations: </p><pre><code class="language-julia hljs">struct CustomRheology{F1, F2, T} &lt;: AbstractCreepLaw
+    strain::F1
+    stress::F2
+    args::T
+end</code></pre><p>where <code>strain</code> and <code>stress</code> are functions that compute the strain rate and deviatoric stress tensors, respectively, and <code>args</code> is a <code>NamedTuple</code> containing any constant (i.e. <strong>immutable</strong>) physical parameters needed by our <code>CustomRheology</code>. </p><h2 id="Example:-Arrhenious-type-rheology"><a class="docs-heading-anchor" href="#Example:-Arrhenious-type-rheology">Example: Arrhenious-type rheology</a><a id="Example:-Arrhenious-type-rheology-1"></a><a class="docs-heading-anchor-permalink" href="#Example:-Arrhenious-type-rheology" title="Permalink"></a></h2><p>The deviatoric stress <span>$\tau_{ij}$</span> and strain rate tensors <span>$\dot{\varepsilon}_{ij}$</span> are simply     <span>$\tau_{ij} = 2 \eta \dot{\varepsilon}_{ij} \qquad \dot{\varepsilon}_{ij}  = {\tau_{ij}  \over 2 \eta}$</span></p><p>and the viscosity <span>$\eta$</span> is temperature-dependant     <span>$\eta = \eta_{0} * \exp\left(\frac{E}{T+T_{o}}-\frac{E}{T_{\eta}+T_{o}}\right)$</span></p><p>where <span>$\eta_0$</span> and <span>$T_{\eta}$</span> are the respective reference viscosity and temperature, <span>$T_o$</span> is the offset temperature, <span>$T$</span> is the local temperature, and <span>$E$</span> is activation energy. </p><p>Before defining the functions to compute <span>$\tau$</span> and <span>$\dot{\varepsilon}$</span>, it is convenient to define a helper function to compute the viscosity:</p><pre><code class="language-julia hljs">@inline function custom_viscosity(
+    a::CustomRheology; T = 0.0, kwargs...
+)
+    (; η0, E, To, Tη) = a.args
+    η = η0 * exp(E / (T + To) - E / (Tη + To))
+    return  η
+end</code></pre><p>Then we just need to define two simple functions to compue the second invariants of <span>$\tau_{ij}$</span> and <span>$\dot{\varepsilon}_{ij}$</span>:</p><pre><code class="language-julia hljs"># function to compute deviatoric stress
+@inline function custom_τII(
+    a::CustomRheology, EpsII; kwargs...
+)
+    η = custom_viscosity(a; kwargs...)
+    return 2.0 * (η * EpsII)
+end
+
+# function to compute strain rate
+@inline function custom_εII(
+    a::CustomRheology, TauII; kwargs...
+)
+    η = custom_viscosity(a; kwargs...)
+    return (TauII / η) * 0.5
+end</code></pre><p>Note that the key word argument <code>kwargs...</code> is needed in all the above functions for compatibility with <code>GeoParams.jl</code>. </p><p>Finally, we need a <code>NamedTuple</code> containing the physical parameters needed by <code>custom_τII</code> and <code>custom_εII</code>:</p><pre><code class="language-julia hljs"># constant parameters, these are typically wrapped into a struct (compulsory)
+parameters = (;
+    η0 = 1.0,
+    E = 23.03,
+    To = 1.0,
+    Tη = 1.0,
+)</code></pre><p>Then the <code>CustomRheology</code> object is created</p><pre><code class="language-julia hljs">a = CustomRheology(custom_εII, custom_τII, parameters)</code></pre><p>Now we can use our new rheology object with <code>GeoParams.jl</code> methods:</p><pre><code class="language-julia-repl hljs">julia&gt; args = (; T=0.5)
+(T = 0.5,)
+
+julia&gt; τII, εII = 1.5,  0.5
+(1.5, 0.5)
+
+julia&gt; ε = compute_εII(v, τII, args)
+0.016147090412110487
+
+julia&gt; τ = compute_τII(v, εII, args)
+46.44799656521971
+
+julia&gt; dεdτ = dεII_dτII(v, τII, args)
+0.010764726941406991
+
+julia&gt; dτdε = dτII_dεII(v, εII, args)
+92.89599313043942</code></pre><p>And also works for composite rheologies:</p><pre><code class="language-julia-repl hljs">julia&gt; el = ConstantElasticity(; G=1.0)
+Linear elasticity with shear modulus: G = 1.0, Poisson&#39;s ratio: ν = 0.5, bulk modulus: Kb = Inf and Young&#39;s module: E=NaN
+
+julia&gt; c = CompositeRheology(v, el)
+--?????----/\/\/--
+
+julia&gt; args = (; dt=Inf, T=0.5)
+(dt = Inf, T = 0.5)
+
+julia&gt; ε = compute_εII(c, τII, args)
+0.016147090412110487
+
+julia&gt; τ = compute_τII(c, εII, args)
+46.44799656521971</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../creeplaws/">« Creep laws</a><a class="docs-footer-nextpage" href="../elasticity/">Elasticity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Wednesday 28 June 2023 08:16">Wednesday 28 June 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.0/man/density/index.html b/v0.5.0/man/density/index.html
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--- /dev/null
+++ b/v0.5.0/man/density/index.html
@@ -0,0 +1,48 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Density · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li class="is-active"><a class="tocitem" href>Density</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Density</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Density</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/density.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Density"><a class="docs-heading-anchor" href="#Density">Density</a><a id="Density-1"></a><a class="docs-heading-anchor-permalink" href="#Density" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>The density equation of state can be specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.ConstantDensity" href="#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantDensity(ρ=2900kg/m^3)</code></pre><p>Set a constant density:</p><p class="math-container">\[    \rho  = cst\]</p><p>where <span>$\rho$</span> is the density [<span>$kg/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Density/Density.jl#L39-L47">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.PT_Density" href="#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)</code></pre><p>Set a pressure and temperature-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 (1.0 - \alpha (T-T_0) + \beta  (P-P_0) )  \]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference temperature <span>$T_0$</span> and pressure <span>$P_0$</span>, <span>$\alpha$</span> is the temperature dependence of density and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Density/Density.jl#L82-L91">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.Compressible_Density" href="#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)</code></pre><p>Set a pressure-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 \exp(β*(P - P\_0))  \]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference pressure <span>$P_0$</span> and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Density/Density.jl#L133-L141">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To evaluate density within a user routine, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density" href="#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_density(P,T, s::PhaseDiagram_LookupTable)</code></pre><p>Interpolates density as a function of <code>T,P</code> from a lookup table  </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Density/Density.jl#L181-L184">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density!" href="#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I&lt;:Integer}</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; MatParam = (SetMaterialParams(Name=&quot;Mantle&quot;, Phase=1,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                        Density   = PT_Density()
+                        ),
+                    SetMaterialParams(Name=&quot;Crust&quot;, Phase=2,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),
+                        Density   = ConstantDensity(ρ=2900kg/m^3))
+                  );
+julia&gt; Phases = ones(Int64,400,400);
+julia&gt; Phases[:,20:end] .= 2
+julia&gt; rho     = zeros(size(Phases))
+julia&gt; T       =  ones(size(Phases))
+julia&gt; P       =  ones(size(Phases))*10
+julia&gt; args = (P=P, T=T)
+julia&gt; compute_density!(rho, MatParam, Phases, args)
+julia&gt; rho
+400×400 Matrix{Float64}:
+2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮                            
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0</code></pre><p>The routine is made to minimize allocations:</p><pre><code class="language-julia hljs">julia&gt; using BenchmarkTools
+julia&gt; @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)
+    203.468 μs (0 allocations: 0 bytes)</code></pre><p>_____________________________________________________________________________________________________________________________   </p><pre><code class="nohighlight hljs">compute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Density/Density.jl#L210-L275">source</a></section></article><p>Note that density values are usually not used in itself in the governing PDE&#39;s, but usually in combination with other parameters, such as <span>$\rho g$</span> or <span>$\rho c_p$</span>. the non-dimensional value of <span>$\rho$</span> may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../materialparameters/">« Material Parameters</a><a class="docs-footer-nextpage" href="../creeplaws/">Creep laws »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Wednesday 28 June 2023 08:16">Wednesday 28 June 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.0/man/elasticity/index.html b/v0.5.0/man/elasticity/index.html
new file mode 100644
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--- /dev/null
+++ b/v0.5.0/man/elasticity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Elasticity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Elasticity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Elasticity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/elasticity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Elasticity"><a class="docs-heading-anchor" href="#Elasticity">Elasticity</a><a id="Elasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Elasticity" title="Permalink"></a></h1><p>Elasticity is, in geodynamics, often used in combination with viscous and plastic rheology.</p><h1 id="Implemented-laws"><a class="docs-heading-anchor" href="#Implemented-laws">Implemented laws</a><a id="Implemented-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-laws" title="Permalink"></a></h1><p>We provide the following elastic constitutive relationships:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantElasticity(G, ν, K, E)</code></pre><p>Structure that holds parameters for constant, isotropic, linear elasticity.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Elasticity/Elasticity.jl#L30-L34">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetConstantElasticity(; G=nothing, ν=nothing, E=nothing, Kb=nothing)</code></pre><p>This allows setting elastic parameters by specifying 2 out of the 4 elastic parameters <code>G</code> (Elastic shear modulus), <code>ν</code> (Poisson&#39;s ratio), <code>E</code> (Young&#39;s modulus), or <code>Kb</code> (bulk modulus).</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Elasticity/Elasticity.jl#L46-L50">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>We can compute the elastic strainrate with:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_εII</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_εII!</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../customrheology/">« Custom rheology</a><a class="docs-footer-nextpage" href="../plasticity/">Plasticity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Wednesday 28 June 2023 08:16">Wednesday 28 June 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.0/man/geounit/index.html b/v0.5.0/man/geounit/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>GeoUnit · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li class="is-active"><a class="tocitem" href>GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>GeoUnit</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>GeoUnit</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/geounit.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="GeoUnit"><a class="docs-heading-anchor" href="#GeoUnit"><code>GeoUnit</code></a><a id="GeoUnit-1"></a><a class="docs-heading-anchor-permalink" href="#GeoUnit" title="Permalink"></a></h1><p>Most parameters have physical units (100km, 9.81 ms⁻²). Yet, within numerical solvers it is usually not a good idea to compute with the actual SI units as they (at least in geosciences) tend to result in very large/small numbers, which can cause in roundoff errors.  Therefore, we usually convert the dimensional units into non-dimensional ones befeore starting computations. The results can than be converted back to more convenient units for us when we generate the output (plots, for example).</p><p>This requires a way to store the dimensions of a parameter, but also, once they are made nondimensional, the original units (otherwise we can&#39;t convert them back to dimensional values).</p><p>For that reason, we use the <code>GeoUnit</code> structure, defined as </p><pre><code class="language-julia hljs">struct GeoUnit{T,U}
+    val          :: T
+    unit         :: U
+    isdimensional:: Bool
+end</code></pre><p>You can define a GeoUnit as:</p><pre><code class="language-julia hljs">julia&gt; a = GeoUnit(100km)
+GeoUnit{dimensional, km}, 
+100.0
+julia&gt; b=GeoUnit(100s)
+GeoUnit{dimensional, s}, 
+100.0</code></pre><p>Dividing the two gives the expected result</p><pre><code class="language-julia hljs">julia&gt; c=a/b
+GeoUnit{dimensional, km s⁻¹·⁰}, 
+1.0</code></pre><p>Can also be a vector:</p><pre><code class="language-julia hljs">julia&gt; T = GeoUnit(100K:10.0K:1000K)
+GeoUnit{dimensional, K}, 
+100.0:10.0:1000.0</code></pre><p>The numerical value is obtained with:</p><pre><code class="language-julia hljs">julia&gt; NumValue(c)
+1.0</code></pre><p>It&#39;s unit with</p><pre><code class="language-julia hljs">julia&gt; Unit(c)
+km s⁻¹·⁰</code></pre><p>and the value with unit with</p><pre><code class="language-julia hljs">julia&gt; Value(c)
+1.0 km s⁻¹·⁰</code></pre><p>If you multiply or divide a <code>GeoUnit</code> with a normal number, we assume that you are no longer interested in the units and you&#39;ll get a Float64:</p><pre><code class="language-julia hljs">julia&gt; c*100
+100.0</code></pre><p>The value of the <code>GeoUnit</code> struct becomes clear once we non-dimensionalize it (as explained in more detail in a separate page). For that, first specify which characteristic values you want to use for non-dimensionalisation: </p><pre><code class="language-julia hljs">julia&gt; CharDim = GEO_units(length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas);</code></pre><p>Let&#39;s define a stress:</p><pre><code class="language-julia hljs">julia&gt; σ=GeoUnit(10MPa)
+GeoUnit{dimensional, MPa}, 
+10.0</code></pre><p>And transfer it to nondimensional units:</p><pre><code class="language-julia hljs">julia&gt; σ_nd = nondimensionalize(σ,CharDim)
+GeoUnit{nondimensional, MPa}, 
+0.9999999999999998</code></pre><p>Instead of 1e7 Pa, we now have 1.0; yet at the same time we know that the original unit of σ_nd was in MPa, which allows to transfer it back to dimensional units:</p><pre><code class="language-julia hljs">julia&gt; dimensionalize(σ_nd,CharDim)
+GeoUnit{dimensional, MPa}, 
+10.0</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../">« Home</a><a class="docs-footer-nextpage" href="../nondimensionalize/">Nondimensionalization »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Wednesday 28 June 2023 08:16">Wednesday 28 June 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.0/man/gravity/index.html b/v0.5.0/man/gravity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Gravity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li class="is-active"><a class="tocitem" href>Gravity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Gravity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Gravity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/gravity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Gravitational-acceleration"><a class="docs-heading-anchor" href="#Gravitational-acceleration">Gravitational acceleration</a><a id="Gravitational-acceleration-1"></a><a class="docs-heading-anchor-permalink" href="#Gravitational-acceleration" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Gravitational acceleration is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">GravityConstant(g=9.81m/s^2)</code></pre><p>Set a constant value for the gravitational acceleration:</p><p class="math-container">\[    g  = 9.81 m s^{-2}\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/GravitationalAcceleration/GravitationalAcceleration.jl#L18-L25">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a> — <span class="docstring-category">Function</span></header><section><div><p>compute_gravity(s:&lt;AbstractGravity)</p><p>Returns the gravitational acceleration </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/GravitationalAcceleration/GravitationalAcceleration.jl#L61-L66">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../shearheating/">« Shear heating</a><a class="docs-footer-nextpage" href="../melting/">Partial Melting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Wednesday 28 June 2023 08:16">Wednesday 28 June 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.0/man/heatcapacity/index.html b/v0.5.0/man/heatcapacity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Heat Capacity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li class="is-active"><a class="tocitem" href>Heat Capacity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Heat Capacity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Heat Capacity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/heatcapacity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Heat-capacity"><a class="docs-heading-anchor" href="#Heat-capacity">Heat capacity</a><a id="Heat-capacity-1"></a><a class="docs-heading-anchor-permalink" href="#Heat-capacity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Heat capacity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity" href="#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantHeatCapacity(cp=1050J/mol/kg)</code></pre><p>Set a constant heat capacity:</p><p class="math-container">\[    cp  = cst\]</p><p>where <span>$cp$</span> is the thermal heat capacity [<span>$J/kg/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Energy/HeatCapacity.jl#L26-L34">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington" href="#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_HeatCapacity_Whittington()</code></pre><p>Sets a temperature-dependent heat capacity following the parameterization of Whittington et al. (2009), Nature:</p><p class="math-container">\[    Cp = (a + b T - c/T^2)/m \]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/kg/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <code>T</code>:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>molmass =   0.22178kg/mol </li></ul><p>Note that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than <span>$J/mol/K$</span> as in eq.3/4 of the paper)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Energy/HeatCapacity.jl#L59-L77">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">Cp = compute_heatcapacity(s:&lt;AbstractHeatCapacity, P, T)</code></pre><p>Returns the heat capacity <code>Cp</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the heat capacity laws implemented.</p><p>Currently available:</p><ul><li>ConstantHeatCapacity</li><li>T_HeatCapacity_Whittington</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia hljs">julia&gt; T  = (250:100:1250)*K;
+julia&gt; cp = T_HeatCapacity_Whittington()
+julia&gt; Cp = ComputeHeatCapacity(0,T,cp)
+11-element Vector{Unitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:
+  635.4269997294616 J kg⁻¹ K⁻¹
+  850.7470171764261 J kg⁻¹ K⁻¹
+  962.0959598489883 J kg⁻¹ K⁻¹
+ 1037.5420433770641 J kg⁻¹ K⁻¹
+ 1097.3517921966488 J kg⁻¹ K⁻¹
+ 1149.2745563671706 J kg⁻¹ K⁻¹
+ 1157.7915050948404 J kg⁻¹ K⁻¹
+ 1172.3554874197264 J kg⁻¹ K⁻¹
+ 1186.9194697445964 J kg⁻¹ K⁻¹
+  1201.483452069455 J kg⁻¹ K⁻¹
+ 1216.0474343943067 J kg⁻¹ K⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Energy/HeatCapacity.jl#L145-L175">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_heatcapacity!(Cp::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat})</code></pre><p>In-place computation of heat capacity <code>Cp</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Energy/HeatCapacity.jl#L197-L202">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plasticity/">« Plasticity</a><a class="docs-footer-nextpage" href="../conductivity/">Conductivity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Wednesday 28 June 2023 08:16">Wednesday 28 June 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.0/man/latentheat/index.html b/v0.5.0/man/latentheat/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Latent heat · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li class="is-active"><a class="tocitem" href>Latent heat</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Latent heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Latent heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/latentheat.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Latent-heat"><a class="docs-heading-anchor" href="#Latent-heat">Latent heat</a><a id="Latent-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Latent-heat" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Latent heat (of crystallisation) is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat" href="#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantLatentHeat(Q_L=400kJ/kg)</code></pre><p>Set a constant latent heat:</p><p class="math-container">\[    Q_L  = cst\]</p><p>where <span>$Q_L$</span> is the latent heat [<span>$kJ/kg$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Energy/LatentHeat.jl#L22-L30">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.LatentHeat.compute_latent_heat</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../conductivity/">« Conductivity</a><a class="docs-footer-nextpage" href="../radioactiveheating/">Radioactive heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Wednesday 28 June 2023 08:16">Wednesday 28 June 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.0/man/listfunctions/index.html b/v0.5.0/man/listfunctions/index.html
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+++ b/v0.5.0/man/listfunctions/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>List of functions · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li class="is-active"><a class="tocitem" href>List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>List of functions</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>List of functions</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/listfunctions.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="List-of-all-functions"><a class="docs-heading-anchor" href="#List-of-all-functions">List of all functions</a><a id="List-of-all-functions-1"></a><a class="docs-heading-anchor-permalink" href="#List-of-all-functions" title="Permalink"></a></h1><p>This page details the some of the guidelines that should be followed when contributing to this package.</p><ul><li><a href="../nondimensionalize/#GeoParams.Units"><code>GeoParams.Units</code></a></li><li><a href="../strengthenvelope/#GeoParams.ConstTemp"><code>GeoParams.ConstTemp</code></a></li><li><a href="../strengthenvelope/#GeoParams.HalfspaceCoolTemp"><code>GeoParams.HalfspaceCoolTemp</code></a></li><li><a href="../strengthenvelope/#GeoParams.LinTemp"><code>GeoParams.LinTemp</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington</code></a></li><li><a href="../latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a></li><li><a href="../phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_4thOrder"><code>GeoParams.MeltingParam.MeltingParam_4thOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_5thOrder"><code>GeoParams.MeltingParam.MeltingParam_5thOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Assimilation"><code>GeoParams.MeltingParam.MeltingParam_Assimilation</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Quadratic"><code>GeoParams.MeltingParam.MeltingParam_Quadratic</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.SmoothMelting"><code>GeoParams.MeltingParam.SmoothMelting</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.TASclassificationData"><code>GeoParams.TASclassification.TASclassificationData</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.ZirconAgeData"><code>GeoParams.ZirconAges.ZirconAgeData</code></a></li><li><a href="../strengthenvelope/#GeoParams.CompTempStruct"><code>GeoParams.CompTempStruct</code></a></li><li><a href="../strengthenvelope/#GeoParams.LithPres"><code>GeoParams.LithPres</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_dϕdT"><code>GeoParams.MeltingParam.compute_dϕdT</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_dϕdT!"><code>GeoParams.MeltingParam.compute_dϕdT!</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a></li><li><a href="../phasediagrams/#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a></li><li><a href="../plotting/#GeoParams.PlotConductivity"><code>GeoParams.PlotConductivity</code></a></li><li><a href="../plotting/#GeoParams.PlotDeformationMap"><code>GeoParams.PlotDeformationMap</code></a></li><li><a href="../plotting/#GeoParams.PlotHeatCapacity"><code>GeoParams.PlotHeatCapacity</code></a></li><li><a href="../melting/#GeoParams.PlotMeltFraction"><code>GeoParams.PlotMeltFraction</code></a></li><li><a href="../plotting/#GeoParams.PlotPhaseDiagram"><code>GeoParams.PlotPhaseDiagram</code></a></li><li><a href="../strengthenvelope/#GeoParams.StrengthEnvelopeComp"><code>GeoParams.StrengthEnvelopeComp</code></a></li><li><a href="../strengthenvelope/#GeoParams.StrengthEnvelopePlot"><code>GeoParams.StrengthEnvelopePlot</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.computeTASclassification"><code>GeoParams.TASclassification.computeTASclassification</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.retrieveTASrockType"><code>GeoParams.TASclassification.retrieveTASrockType</code></a></li><li><a href="../tables/#GeoParams.Tables.Dict2LatexTable"><code>GeoParams.Tables.Dict2LatexTable</code></a></li><li><a href="../tables/#GeoParams.Tables.Dict2MarkdownTable"><code>GeoParams.Tables.Dict2MarkdownTable</code></a></li><li><a href="../tables/#GeoParams.Tables.ParameterTable"><code>GeoParams.Tables.ParameterTable</code></a></li><li><a href="../tables/#GeoParams.Tables.Phase2Dict"><code>GeoParams.Tables.Phase2Dict</code></a></li><li><a href="../tables/#GeoParams.Tables.Phase2DictMd"><code>GeoParams.Tables.Phase2DictMd</code></a></li><li><a href="../tables/#GeoParams.Tables.detachFloatfromExponent"><code>GeoParams.Tables.detachFloatfromExponent</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.compute_zircon_age_PDF"><code>GeoParams.ZirconAges.compute_zircon_age_PDF</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.compute_zircons_Ttpath"><code>GeoParams.ZirconAges.compute_zircons_Ttpath</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.zircon_age_PDF"><code>GeoParams.ZirconAges.zircon_age_PDF</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a></li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plotting/">« Plotting</a><a class="docs-footer-nextpage" href="../contributing/">Contributing »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Wednesday 28 June 2023 08:16">Wednesday 28 June 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.0/man/materialparameters/index.html b/v0.5.0/man/materialparameters/index.html
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@@ -0,0 +1,61 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Material Parameters · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li class="is-active"><a class="tocitem" href>Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Material Parameters</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Material Parameters</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/materialparameters.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="MaterialParameters"><a class="docs-heading-anchor" href="#MaterialParameters">MaterialParameters</a><a id="MaterialParameters-1"></a><a class="docs-heading-anchor-permalink" href="#MaterialParameters" title="Permalink"></a></h1><p>Material properties for a given phase can be set with <code>SetMaterialParams</code>, whereas all properties are  stored in the <code>MaterialParams</code> structure. Information about the material parameter is found at <code>MaterialParamsInfo</code>. This can be employed </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParamsInfo" href="#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MaterialParamsInfo</code></pre><p>Structure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.</p><p>Usually used in combination with <code>param_info(the_parameter_of_interest)</code></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/MaterialParameters.jl#L29-L37">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SetMaterialParams" href="#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetMaterialParams(; Name::String=&quot;&quot;, Phase::Int64=1,
+                    Density             =   nothing, 
+                    Gravity             =   nothing,
+                    CreepLaws           =   nothing, 
+                    Elasticity          =   nothing, 
+                    Plasticity          =   nothing, 
+                    CompositeRheology   =   nothing,
+                    Conductivity        =   nothing, 
+                    HeatCapacity        =   nothing, 
+                    RadioactiveHeat     =   nothing,
+                    LatentHeat          =   nothing,
+                    ShearHeat           =   nothing,
+                    Melting             =   nothing,
+                    SeismicVelocity     =   nothing,
+                    CharDim::GeoUnits   =   nothing)</code></pre><p>Sets material parameters for a given phase. </p><p>If <code>CharDim</code> is specified the input parameters are non-dimensionalized.   Note that if <code>Density</code> is specified, we also set <code>Gravity</code> even if not explicitly listed</p><p><strong>Examples</strong></p><p>Define two viscous creep laws &amp; constant density:</p><pre><code class="language-julia-repl hljs">julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;,
+                       Density   = ConstantDensity(),
+                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))
+Phase 1 : Viscous Matrix
+        | [dimensional units]
+        | 
+        |-- Density           : Constant density: ρ=2900 kg m⁻³ 
+        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  
+        |                       Linear viscosity: η=1.0e21 Pa s</code></pre><p>Define two viscous creep laws &amp; P/T dependent density and nondimensionalize</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);
+julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;, Phase=33,
+                              Density   = PT_Density(),
+                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),
+                              CharDim   = CharUnits_GEO)
+Phase 33: Viscous Matrix
+        | [non-dimensional units]
+        | 
+        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0 
+        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18 
+        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001  
+        |                       Linear viscosity: η=10000.0 </code></pre><p>You can also create an array that holds several parameters:</p><pre><code class="language-julia-repl hljs">julia&gt; MatParam        =   Array{MaterialParams, 1}(undef, 2);
+julia&gt; Phase           =   1;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Upper Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                            Density  = ConstantDensity(ρ=2900kg/m^3));
+julia&gt; Phase           =   2;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Lower Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),
+                            Density  = PT_Density(ρ0=3000kg/m^3));
+julia&gt; MatParam
+2-element Vector{MaterialParams}:
+ Phase 1 : Upper Crust
+    | [dimensional units]
+    | 
+    |-- Density           : Constant density: ρ=2900 kg m⁻³ 
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  
+    |                       Linear viscosity: η=1.0e23 Pa s 
+                            
+ Phase 2 : Lower Crust
+    | [dimensional units]
+    | 
+    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa 
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹  
+    |                       Linear viscosity: η=1.0e21 Pa s </code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/MaterialParameters.jl#L103-L188">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParams" href="#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MaterialParams</code></pre><p>Structure that holds all material parameters for a given phase</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/MaterialParameters.jl#L63-L68">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../nondimensionalize/">« Nondimensionalization</a><a class="docs-footer-nextpage" href="../density/">Density »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Wednesday 28 June 2023 08:16">Wednesday 28 June 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Partial Melting</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Partial Melting</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/melting.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Melting-Parameterizations"><a class="docs-heading-anchor" href="#Melting-Parameterizations">Melting Parameterizations</a><a id="Melting-Parameterizations-1"></a><a class="docs-heading-anchor-permalink" href="#Melting-Parameterizations" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>A number of melting parameterisations are implemented, which can be set with:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Caricchi" href="#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Caricchi()</code></pre><p>Implements the T-dependent melting parameterisation used by Caricchi, Simpson et al. (as for example described in Simpson) </p><p class="math-container">\[    \theta = {(a - (T + c)) \over b} \]</p><p class="math-container">\[    \phi_{melt} = {1.0 \over (1.0 + e^\theta)}\]</p><p>Note that T is in Kelvin. As default parameters we employ:</p><p class="math-container">\[b=23K,  a=800K , c=273.15K\]</p><p>Which gives a reasonable fit to experimental data of granodioritic composition (Piwinskii and Wyllie, 1968):</p><p><img src="../assets/img/MeltingParam_Caricchi.png" alt="MeltParam_Carrichi"/></p><p><strong>References</strong></p><ul><li>Simpson G. (2017) Practical finite element modelling in Earth Sciences Using MATLAB.</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/MeltFraction/MeltingParameterization.jl#L32-L54">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_5thOrder" href="#GeoParams.MeltingParam.MeltingParam_5thOrder"><code>GeoParams.MeltingParam.MeltingParam_5thOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_5thOrder(a,b,c,d,e,f,T_s,T_l)</code></pre><p>Uses a 5th order polynomial to describe the melt fraction <code>phi</code> between solidus temperature <code>T_s</code> and liquidus temperature <code>T_l</code></p><p class="math-container">\[    \phi = a T^5 + b T^4 + c T^3 + d T^2 + e T + f  \textrm{   for   } T_s ≤ T ≤ T_l\]</p><p class="math-container">\[    \phi = 1  \textrm{   if   } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0  \textrm{   if   } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_5thorder.png" alt="MeltingParam_5thOrder"/></p><p>The default values are for a composite liquid-line-of-descent:</p><ul><li>the upper part is for Andesite from: (Blatter, D. L. &amp; Carmichael, I. S. (2001) Hydrous phase equilibria of a Mexican highsilica andesite: a candidate for a mantle origin? Geochim. Cosmochim. Acta 65, 4043–4065</li><li>the lower part is extrapolated to the granitic minimum using the Marxer &amp; Ulmer LLD for Andesite (Marxer, F. &amp; Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. <em>Contributions Mineral. Petrol.</em> 174, 84)</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/MeltFraction/MeltingParameterization.jl#L107-L128">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_4thOrder" href="#GeoParams.MeltingParam.MeltingParam_4thOrder"><code>GeoParams.MeltingParam.MeltingParam_4thOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_4thOrder(b,c,d,e,f,T_s,T_l)</code></pre><p>Uses a 4th order polynomial to describe the melt fraction <code>phi</code> between solidus temperature <code>T_s</code> and liquidus temperature <code>T_l</code></p><p class="math-container">\[    \phi = b T^4 + c T^3 + d T^2 + e T + f  \textrm{   for   } T_s ≤ T ≤ T_l\]</p><p class="math-container">\[    \phi = 1 \textrm{   if   } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0  \textrm{   if   } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_4thorder.png" alt="MeltingParam_4thOrder"/></p><p>The default values are for Tonalite experiments from Marxer and Ulmer (2019):</p><ul><li>Marxer, F. &amp; Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. <em>Contributions Mineral. Petrol.</em> 174, 84</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/MeltFraction/MeltingParameterization.jl#L192-L212">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Quadratic" href="#GeoParams.MeltingParam.MeltingParam_Quadratic"><code>GeoParams.MeltingParam.MeltingParam_Quadratic</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Quadratic(T_s,T_l)</code></pre><p>Quadratic melt fraction parameterisation where melt fraction <span>$\phi$</span> depends only on solidus (<span>$T_s$</span>) and liquidus (<span>$T_l$</span>) temperature:</p><p class="math-container">\[    \phi = 1.0 - \left( {T_l - T} \over {T_l - T_s} \right)^2\]</p><p class="math-container">\[    \phi = 1.0 \textrm{ if } T&gt;T_l \]</p><p class="math-container">\[    \phi = 0.0 \textrm{ if } T&lt;T_s \]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_Quadratic.png" alt="MeltingParam_Quadratic"/></p><p>This was used, among others, in Tierney et al. (2016) Geology</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/MeltFraction/MeltingParameterization.jl#L283-L302">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Assimilation" href="#GeoParams.MeltingParam.MeltingParam_Assimilation"><code>GeoParams.MeltingParam.MeltingParam_Assimilation</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Assimilation(T_s,T_l,a)</code></pre><p>Melt fraction parameterisation that takes the assimilation of crustal host rocks into account, as used by Tierney et al. (2016) based upon a parameterisation of Spera and Bohrson (2001)</p><p>Here, the fraction of molten and assimilated host rocks <span>$\phi$</span> depends on the solidus (<span>$T_s$</span>) and liquidus (<span>$T_l$</span>) temperatures of the rocks, as well as on a parameter <span>$a=0.005$</span></p><p class="math-container">\[    X = \left( {T - T_s} \over {T_l - T_s} \right)\]</p><p class="math-container">\[    \phi = a \cdot \left( \exp^{2ln(100)X} - 1.0 \right) \textrm{ if } X ≤ 0.5\]</p><p class="math-container">\[    \phi = 1- a \cdot \exp^{2ln(100)(1-X)}  \textrm{ if } X &gt; 0.5\]</p><p class="math-container">\[    \phi = 1.0 \textrm{ if } T&gt;T_l \]</p><p class="math-container">\[    \phi = 0.0 \textrm{ if } T&lt;T_s \]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_Assimilation.png" alt="MeltingParam_Assimilation"/></p><p>This was used, among others, in Tierney et al. (2016), who employed as default parameters:</p><p class="math-container">\[   T_s=973.15, T_l=1173.15, a=0.005\]</p><p><strong>References</strong></p><ul><li>Spera, F.J., and Bohrson, W.A., 2001, Energy-Constrained Open-System Magmatic Processes I: General Model and Energy-Constrained Assimilation and Fractional Crystallization (EC- AFC) Formulation: Journal of Petrology, v. 42, p. 999–1018.</li><li>Tierney, C.R., Schmitt, A.K., Lovera, O.M., de Silva, S.L., 2016. Voluminous plutonism during volcanic quiescence revealed by thermochemical modeling of zircon. Geology 44, 683–686. https://doi.org/10.1130/G37968.1</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/MeltFraction/MeltingParameterization.jl#L357-L392">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.SmoothMelting" href="#GeoParams.MeltingParam.SmoothMelting"><code>GeoParams.MeltingParam.SmoothMelting</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">SmoothMelting(; p=MeltingParam_4thOrder(), k_sol=0.2/K,  k_liq=0.2/K)</code></pre><p>This smoothens the melting parameterisation <span>$p$</span> around the solidus <span>$T_{sol}$</span> and liquidus <span>$T_{liq}$</span> using a smoothened Heaviside step functions for the solidus:</p><p class="math-container">\[    H_{sol} =  {1.0 \over { 1 + \exp( -2 k_{sol} (T - T_{sol} - {2 \over k_{sol}}) )  }}\]</p><p>and liquidus:        </p><p class="math-container">\[    H_{liq} =  1.0 - {1.0 \over { 1 + \exp( -2 k_{liq} (T - T_{liq} + {2 \over k_{liq}}) )  }}\]</p><p>The resulting melt fraction <span>$\phi$</span> is computed from the original melt fraction <span>$\phi_0$</span> (computed using one of the methods above) as:</p><p class="math-container">\[    \phi =  \phi_0 H_{sol} H_{liq} + 1.0 - H_{liq}\]</p><p>The width of the smoothening zones is controlled by <span>$k_{sol}, k_{liq}$</span> (larger values = sharper boundary).</p><p>This is important, as jumps in the derivative <span>$dϕ/dT$</span> can cause numerical instabilities in latent heat computations, which is prevented with this smoothening.</p><p><strong>Example</strong></p><p>Let&#39;s consider a 4th order parameterisation:</p><pre><code class="language-julia hljs">julia&gt; using GeoParams, Plots
+julia&gt; p = MeltingParam_4thOrder();
+julia&gt; T= collect(650.0:1:1050.) .+ 273.15;
+julia&gt; T,phi,dϕdT =  PlotMeltFraction(p,T=T);</code></pre><p>The same but with smoothening:</p><pre><code class="language-julia hljs">julia&gt; p_s = SmoothMelting(p=MeltingParam_4thOrder(), k_liq=0.21/K);
+4th order polynomial melting curve: phi = -7.594512597174117e-10T^4 + 3.469192091489447e-6T^3 + -0.00592352980926T^2 + 4.482855645604745T + -1268.730161921053  963.15 K ≤ T ≤ 1270.15 K with smooth Heaviside function smoothening using k_sol=0.1 K⁻¹·⁰, k_liq=0.11 K⁻¹·⁰
+julia&gt; T_s,phi_s,dϕdT_s =  PlotMeltFraction(p_s,T=T);</code></pre><p>We can create plots of this with:</p><pre><code class="language-julia hljs">julia&gt; plt1 = plot(T.-273.15, phi, ylabel=&quot;Melt Fraction ϕ&quot;, color=:red, label=&quot;original&quot;, xlabel=&quot;Temperature [C]&quot;)
+julia&gt; plt1 = plot(plt1, T.-273.15, phi_s,  color=:black, label=&quot;smoothened&quot;, legend=:bottomright)
+julia&gt; plt2 = plot(T.-273.15, dϕdT, ylabel=&quot;dϕ/dT&quot;, color=:red, label=&quot;original&quot;, xlabel=&quot;Temperature [C]&quot;)
+julia&gt; plt2 = plot(plt2, T.-273.15, dϕdT_s,  color=:black, label=&quot;smoothened&quot;, legend=:topright)
+julia&gt; plot!(plt1,plt2,   xlabel=&quot;Temperature [C]&quot;, layout=(2,1))</code></pre><p>The derivative no longer has a jump now:</p><p><img src="../assets/img/MeltingParam_Smooth.png" alt="MeltingParam_Smooth"/></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/MeltFraction/MeltingParameterization.jl#L475-L526">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute the melt fraction at given <code>T</code> and <code>P</code>, use:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction!" href="#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_meltfraction!(ϕ::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T:AbstractArray{&lt;:AbstractFloat}, p::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/MeltFraction/MeltingParameterization.jl#L623-L627">source</a></section><section><div><pre><code class="nohighlight hljs">compute_meltfraction(ϕ::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/MeltFraction/MeltingParameterization.jl#L710-L714">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction" href="#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_meltfraction(P,T, p::AbstractPhaseDiagramsStruct)</code></pre><p>Computes melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/MeltFraction/MeltingParameterization.jl#L611-L615">source</a></section><section><div><pre><code class="nohighlight hljs">ϕ = compute_meltfraction(Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/MeltFraction/MeltingParameterization.jl#L703-L707">source</a></section></article><p>You can also obtain the derivative of melt fraction versus temperature with (useful to compute latent heat effects):</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_dϕdT!" href="#GeoParams.MeltingParam.compute_dϕdT!"><code>GeoParams.MeltingParam.compute_dϕdT!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_dϕdT!(ϕ::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computates the derivative of melt fraction <code>ϕ</code> versus temperature <code>T</code>, <span>${\partial \phi} \over {\partial T}$</span> for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This is employed, for example, in computing latent heat terms in an implicit manner.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/MeltFraction/MeltingParameterization.jl#L725-L730">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_dϕdT" href="#GeoParams.MeltingParam.compute_dϕdT"><code>GeoParams.MeltingParam.compute_dϕdT</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_dϕdT(P,T, p::AbstractPhaseDiagramsStruct)</code></pre><p>Computes derivative of melt fraction vs T in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified. The derivative is computed by finite differencing.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/MeltFraction/MeltingParameterization.jl#L630-L635">source</a></section><section><div><pre><code class="nohighlight hljs">ϕ = compute_dϕdT(Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computates the derivative of melt fraction ϕ versus temperature <code>T</code> for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This is employed in computing latent heat terms in an implicit manner, for example</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/MeltFraction/MeltingParameterization.jl#L717-L722">source</a></section></article><p>Also note that phase diagrams can be imported using <code>PerpleX_LaMEM_Diagram</code>, which may also have melt content information.  The computational routines work with that as well.</p><h1 id="Plotting-routines"><a class="docs-heading-anchor" href="#Plotting-routines">Plotting routines</a><a id="Plotting-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting-routines" title="Permalink"></a></h1><p>You can use the routine <code>PlotMeltFraction</code> to create a plot, provided that the <code>Plots</code> package has been loaded</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotMeltFraction" href="#GeoParams.PlotMeltFraction"><code>GeoParams.PlotMeltFraction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">T,phi,plt = PlotMeltFraction(p::AbstractMeltingParam; T=nothing, plt=nothing, lbl=nothing)</code></pre><p>Creates a plot of temperature <code>T</code> vs. melt fraction, as specified in <code>p</code>.  The 1D curve can be evaluated at a specific pressure <code>P</code> which can be given as a scalar or as an array of the same size as <code>T</code></p><p><strong>Optional parameters</strong></p><ul><li><code>T</code>: temperature range</li><li><code>P</code>: pressure </li><li><code>plt</code>: a previously generated plotting object</li><li><code>lbl</code>: label of the curve</li></ul><p><strong>Example</strong></p><pre><code class="nohighlight hljs">julia&gt; p          =  MeltingParam_Caricchi()
+julia&gt; T,phi,dϕdT =  PlotMeltFraction(p)</code></pre><p>you can now save the figure to disk with:</p><pre><code class="nohighlight hljs">julia&gt; using Plots
+julia&gt; savefig(plt,&quot;MeltFraction.png&quot;)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Plotting/Plotting.jl#L621-L644">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../gravity/">« Gravity</a><a class="docs-footer-nextpage" href="../TASclassification/">TAS classification »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Wednesday 28 June 2023 08:16">Wednesday 28 June 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Nondimensionalization · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Nondimensionalization</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Nondimensionalization</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/nondimensionalize.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Nondimensionalization"><a class="docs-heading-anchor" href="#Nondimensionalization">Nondimensionalization</a><a id="Nondimensionalization-1"></a><a class="docs-heading-anchor-permalink" href="#Nondimensionalization" title="Permalink"></a></h1><p>Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between <code>GEO</code>, <code>SI</code> or <code>NO</code> units:</p><ul><li><code>SI</code> units assume all input and output is in <code>SI</code> units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).</li><li><code>GEO</code> units uses <code>SI</code> units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as <code>Myrs</code>,<code>km</code> or <code>MPa</code></li><li><code>NO</code> units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that <code>velocity</code> is given in <code>m/s</code>).</li></ul><p>A dimensional parameter can be transformed into a non-dimensional one with <code>nondimensionalize</code>.</p><h1 id="Specify-characteristic-values"><a class="docs-heading-anchor" href="#Specify-characteristic-values">Specify characteristic values</a><a id="Specify-characteristic-values-1"></a><a class="docs-heading-anchor-permalink" href="#Specify-characteristic-values" title="Permalink"></a></h1><p>Characteristic values can be defined in 3 ways.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units" href="#GeoParams.Units"><code>GeoParams.Units</code></a> — <span class="docstring-category">Module</span></header><section><div><pre><code class="language-julia hljs">This provides units and creates a non-dimensionalization object</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Units.jl#L1-L3">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.AbstractGeoUnit" href="#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><p>AbstractGeoUnit</p><p>Abstract supertype for geo units.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Units.jl#L96-L100">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnit" href="#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.
+
+Having that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.
+With the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Units.jl#L110-L117">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnits" href="#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">GeoUnits
+
+Structure that holds parameters used for non-dimensionalization</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Units.jl#L290-L294">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GEO_units" href="#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)</code></pre><p>Creates a non-dimensionalization object using GEO units.</p><p>GEO units implies that upon dimensionalization, <code>time</code> will be in <code>Myrs</code>, <code>length</code> in <code>km</code>, stress in <code>MPa</code>, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (<code>km</code> or <code>m</code>), provided the unit is specified.</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = GEO_units()
+Employing GEO units 
+Characteristic values: 
+         length:      1000 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C
+julia&gt; CharUnits.velocity
+1.0e-7 m s⁻¹</code></pre><p>If we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic <code>length</code>:</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = GEO_units(length=10km)
+Employing GEO units 
+Characteristic values: 
+         length:      10 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Units.jl#L342-L373">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.SI_units" href="#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)</code></pre><p>Specify the characteristic values using SI units </p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = SI_units(length=1000m)
+Employing SI units 
+Characteristic values: 
+         length:      1000 m
+         time:        1.0e19 s
+         stress:      10 Pa
+         temperature: 1000.0 K</code></pre><p>Note that the same can be achieved if the input is given in <code>km</code>:</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = SI_units(length=1km)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Units.jl#L412-L431">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.NO_units" href="#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)</code></pre><p>Specify the characteristic values in non-dimensional units</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GeoParams;
+julia&gt; CharUnits = NO_units()
+Employing NONE units 
+Characteristic values: 
+         length:      1
+         time:        1.0 
+         stress:      1
+         temperature: 1.0</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Units.jl#L470-L486">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_val" href="#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia hljs">This unpacks the numerical value of `GeoUnit` in a structure, without the units.
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_val ρ,α = r
+julia&gt; α
+4.0e-5
+julia&gt; typeof(α)
+Float64</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/unpack.jl#L4-L23">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_units" href="#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia hljs">This unpacks the numerical value with units of `GeoUnit` parameters in a structure
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_units ρ,α = r
+julia&gt; α
+4.0e-5 K⁻¹·⁰
+julia&gt; typeof(α)
+Quantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/unpack.jl#L46-L65">source</a></section></article><h1 id="(Non)-dimensionalize-parameters"><a class="docs-heading-anchor" href="#(Non)-dimensionalize-parameters">(Non)-dimensionalize parameters</a><a id="(Non)-dimensionalize-parameters-1"></a><a class="docs-heading-anchor-permalink" href="#(Non)-dimensionalize-parameters" title="Permalink"></a></h1><p>Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.nondimensionalize" href="#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">nondimensionalize(param, CharUnits::GeoUnits{TYPE})</code></pre><p>Nondimensionalizes <code>param</code> using the characteristic values specified in <code>CharUnits</code></p><p><strong>Example 1</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GeoParams;
+julia&gt; CharUnits =   GEO_units();
+julia&gt; v         =   3cm/yr
+3 cm yr⁻¹ 
+julia&gt; v_ND      =   nondimensionalize(v, CharUnits) 
+0.009506426344208684</code></pre><p><strong>Example 2</strong></p><p>In geodynamics one sometimes encounters more funky units</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits =   GEO_units();
+julia&gt; A         =   6.3e-2MPa^-3.05*s^-1
+0.063 MPa⁻³·⁰⁵ s⁻¹
+julia&gt; A_ND      =   nondimensionalize(A, CharUnits) 
+7.068716262102384e14</code></pre><p>In case you are interested to see how the units of <code>A</code> look like in different units, use this function from the <a href="https://github.com/PainterQubits/Unitful.jl">Unitful</a> package:</p><pre><code class="language-julia-repl hljs">julia&gt; uconvert(u&quot;Pa^-3.05*s^-1&quot;,A) 
+3.157479571851836e-20 Pa⁻³·⁰⁵</code></pre><p>and to see it decomposed in the basic <code>SI</code> units of length, mass and time:</p><pre><code class="language-julia-repl hljs">julia&gt; upreferred(A)
+3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Units.jl#L520-L554">source</a></section><section><div><pre><code class="nohighlight hljs">param = nondimensionalize(param::NTuple{N,Quantity}, g::GeoUnits{TYPE})</code></pre><p>nondimensionalizes a tuple of parameters    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Units.jl#L586-L590">source</a></section><section><div><pre><code class="nohighlight hljs">MatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Non-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Units.jl#L622-L627">source</a></section><section><div><pre><code class="nohighlight hljs">nondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>nondimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Units.jl#L671-L675">source</a></section><section><div><pre><code class="nohighlight hljs">MatParam_ND = nondimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)</code></pre><p>Non-dimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Units.jl#L709-L714">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.dimensionalize" href="#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes <code>param</code> into the dimensions <code>param_dim</code> using the characteristic values specified in <code>CharUnits</code>.  </p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits =   GEO_units();
+julia&gt; v_ND      =   nondimensionalize(3cm/yr, CharUnits) 
+0.031688087814028945
+julia&gt; v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) 
+3.0 cm yr⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Units.jl#L720-L734">source</a></section><section><div><pre><code class="nohighlight hljs">dimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Units.jl#L755-L760">source</a></section><section><div><pre><code class="nohighlight hljs">Dimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>Dimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Units.jl#L780-L784">source</a></section><section><div><pre><code class="nohighlight hljs">dimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)</code></pre><p>dimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Units.jl#L805-L810">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.isDimensional" href="#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">isDimensional(MatParam::AbstractMaterialParam)</code></pre><p><code>true</code> if MatParam is in dimensional units.    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Units.jl#L815-L819">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../geounit/">« GeoUnit</a><a class="docs-footer-nextpage" href="../materialparameters/">Material Parameters »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Wednesday 28 June 2023 08:16">Wednesday 28 June 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.0/man/phasediagrams/index.html b/v0.5.0/man/phasediagrams/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Phase Diagrams · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li class="is-active"><a class="tocitem" href>Phase Diagrams</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Perple_X"><span>Perple_X</span></a></li></ul></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Phase Diagrams</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Phase Diagrams</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/phasediagrams.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Phase-Diagrams"><a class="docs-heading-anchor" href="#Phase-Diagrams">Phase Diagrams</a><a id="Phase-Diagrams-1"></a><a class="docs-heading-anchor-permalink" href="#Phase-Diagrams" title="Permalink"></a></h1><p>It is possible to employ phase diagrams as lookup tables, which can be used to compute density, melt fraction or seismic properties, for example. </p><h1 id="Perple_X"><a class="docs-heading-anchor" href="#Perple_X">Perple_X</a><a id="Perple_X-1"></a><a class="docs-heading-anchor-permalink" href="#Perple_X" title="Permalink"></a></h1><p>A popular way to compute phase diagrams (pseudosections) for a given (fixed) chemical composition as a function of pressure and temperature is by using <a href="https://www.perplex.ethz.ch">Perple_X</a>. Once a stable assemblage is computed, through Gibbs energy minimisation, it allows you to output a large number of properties such as density, melt fraction or seismic velocities.</p><p>Within GeoParams, we can import this diagram (provided it is formatted in the same manner as <code>LaMEM</code> expects <code>Perple_X</code> input to be).</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PerpleX_LaMEM_Diagram" href="#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">PD_Data = PerpleX_LaMEM_Diagram(fname::String; CharDim = nothing)</code></pre><p>Reads a precomputed phase diagram in the <code>LaMEM/Perple_X</code> format (which is a phase diagram computed using <code>Perple_X</code>, but formatted in a manner that is readable using LaMEM). The data is stored in the <code>PhaseDiagram_LookupTable</code> structure.</p><p>If the <code>CharDim</code> object is specified, the values of all diagrams will be non-dimensionalized.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; PD_Data = PerpleX_LaMEM_Diagram(&quot;./test_data/Peridotite.in&quot;)
+Perple_X/LaMEM Phase Diagram Lookup Table: 
+                      File    :   ./test_data/Peridotite.in
+                      T       :   293.0 - 1573.000039
+                      P       :   1.0e7 - 2.9999999944e9
+                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp
+                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs
+                                  :Vp, :Vs, :VpVs</code></pre><p>Once imported, the properties on the diagram can be interpolated in a simple manner:</p><pre><code class="nohighlight hljs">julia&gt; PD_Data.Rho(1500,1e7)
+3042.836820256982</code></pre><p>This also works for vectors or arrays:</p><pre><code class="language-julia hljs">julia&gt; T = [1500 1800; 1233 1300]
+julia&gt; P = [1e8 1e9; 1e7 1e7]
+julia&gt; rho = PD_Data.Rho.(T,P)</code></pre><p>(Note the dot <code>.</code> in front of the bracket while evaluating arrays).</p><p>The fields that are available depend on what is listed in the diagram file.  The units of the fields are automatically evaluated, and employed to non-dimensionalize the parameters if <code>CharDim</code> is specified. </p><p><strong>Algorithm</strong></p><p>Internally, we employ linear interpolation, as provided by the <a href="https://github.com/JuliaMath/Interpolations.jl">Interpolations.jl</a> package. Values outside the range of the diagram are set to the boundary of the diagram. The interpolation object is directly encoded in the <code>PhaseDiagram_LookupTable</code>` object.  </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/PhaseDiagrams/PhaseDiagrams.jl#L44-L85">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable" href="#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Contains data of a Phase Diagram that is regularly spaced in P &amp; T</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/PhaseDiagrams/PhaseDiagrams.jl#L14-L16">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../zirconages/">« Zircon Ages</a><a class="docs-footer-nextpage" href="../seismicvelocity/">Seismic Velocity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Wednesday 28 June 2023 08:16">Wednesday 28 June 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Plasticity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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routines</span></a></li></ul></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Plasticity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Plasticity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/plasticity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Plasticity"><a class="docs-heading-anchor" href="#Plasticity">Plasticity</a><a id="Plasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Plasticity" title="Permalink"></a></h1><p>Plasticity is a non;linear rheology bthat is actrivated once stresses exceed a certain yield criteria.</p><h1 id="Implemented-laws"><a class="docs-heading-anchor" href="#Implemented-laws">Implemented  laws</a><a id="Implemented-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-laws" title="Permalink"></a></h1><p>The following plastic law are implemented:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.Plasticity.DruckerPrager</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.Plasticity.DruckerPrager_regularised</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>Usually, plasticity should be defined as part of a <code>CompositeRheology</code> structure and calculations can be done as with all other rheology computations by using <code>compute_τII</code>.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../elasticity/">« Elasticity</a><a class="docs-footer-nextpage" href="../heatcapacity/">Heat Capacity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Wednesday 28 June 2023 08:16">Wednesday 28 June 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.0/man/plotting/index.html b/v0.5.0/man/plotting/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Plotting · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li class="is-active"><a class="tocitem" href>Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Plotting</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Plotting</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/plotting.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Plotting"><a class="docs-heading-anchor" href="#Plotting">Plotting</a><a id="Plotting-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting" title="Permalink"></a></h1><p>We provide a number of plotting routines. Note that these plotting routines only become available once the <code>GLMakie</code> package is loaded.</p><h3 id="Plot-CreepLaws"><a class="docs-heading-anchor" href="#Plot-CreepLaws">Plot CreepLaws</a><a id="Plot-CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#Plot-CreepLaws" title="Permalink"></a></h3><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotStressStrainrate_CreepLaw</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotHeatCapacity" href="#GeoParams.PlotHeatCapacity"><code>GeoParams.PlotHeatCapacity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">T,Cp,plt = PlotHeatCapacity(cp::AbstractHeatCapacity; T=nothing, plt=nothing, lbl=nothing)</code></pre><p>Creates a plot of temperature <code>T</code> vs. heat capacity, as specified in cp (which can be temperature-dependent).</p><p><strong>Optional parameters</strong></p><ul><li>T: temperature range</li><li>plt: a previously generated plotting object</li><li>lbl: label of the curve</li></ul><p><strong>Example</strong></p><pre><code class="nohighlight hljs">julia&gt; cp = T_HeatCapacity_Whittacker()
+julia&gt; T,Cp,plt = PlotHeatCapacity(cp)</code></pre><p>you can now save the figure to disk with:</p><pre><code class="nohighlight hljs">julia&gt; using Plots
+julia&gt; savefig(plt,&quot;Tdependent_heatcapacity.png&quot;)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Plotting/Plotting.jl#L521-L542">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotConductivity" href="#GeoParams.PlotConductivity"><code>GeoParams.PlotConductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">T,Kk,plt = PlotConductivity(cp::AbstractConductivity; T=nothing, plt=nothing, lbl=nothing)</code></pre><p>Creates a plot of temperature <code>T</code> vs. thermal conductivity, as specified in <code>k</code> (which can be temperature-dependent).</p><p><strong>Optional parameters</strong></p><ul><li><code>T</code>: temperature range</li><li><code>plt</code>: a previously generated plotting object</li><li><code>lbl</code>: label of the curve</li></ul><p><strong>Example</strong></p><pre><code class="nohighlight hljs">julia&gt; k = T_Conductivity_Whittacker()
+julia&gt; T,KK,plt = PlotConductivity(k)</code></pre><p>you can now save the figure to disk with:</p><pre><code class="nohighlight hljs">julia&gt; using Plots
+julia&gt; savefig(plt,&quot;Tdependent_conductivity.png&quot;)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Plotting/Plotting.jl#L566-L587">source</a></section></article><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotMeltFraction</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotPhaseDiagram" href="#GeoParams.PlotPhaseDiagram"><code>GeoParams.PlotPhaseDiagram</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">plt, data, Tvec, Pvec = PlotPhaseDiagram(p::PhaseDiagram_LookupTable; fieldname::Symbol, Tvec=nothing, Pvec=nothing)</code></pre><p>Plots a phase diagram as a function of <code>T</code> (x-axis) and <code>P</code> (y-axis). We either use the default ranges of the diagram, or you can specify the temperature and pressure ranges (while specifying units). The return arguments are the plotting object <code>plt</code> (so you can modify properties) as well as the data that is being plotted</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; PD_data =  Read_LaMEM_Perple_X_Diagram(&quot;Peridotite.in&quot;)
+Perple_X/LaMEM Phase Diagram Lookup Table: 
+                      File    :   Peridotite.in
+                      T       :   293.0 - 1573.000039
+                      P       :   1.0e7 - 2.9999999944e9
+                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp
+                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs
+                                  :Vp, :Vs, :VpVs, :cpxFrac
+julia&gt; PlotPhaseDiagram(PD_data,:meltFrac, Tvec=(100:1:1400).*C, Pvec=(.1:.1:30).*kbar )</code></pre><p>This will generate the following plot <img src="../assets/img/PhaseDiagram.png" alt="subet2"/></p><p>You can also use the default pressure/temperature ranges in the diagrams:</p><pre><code class="language-julia hljs">julia&gt; PlotPhaseDiagram(PD_data,:Rho)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Plotting/Plotting.jl#L680-L708">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotDeformationMap" href="#GeoParams.PlotDeformationMap"><code>GeoParams.PlotDeformationMap</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">fig = PlotDeformationMap(v;    args=(P=0.0, d=1e-3, f=1.0),  
+                            σ = (1e-2, 1e8),                # in MPa
+                            T = (10, 1000),                 # in C
+                            ε = (1e-22, 1e-8),              # in 1/s
+                            n = 400,                        # number of points
+                            rotate_axes = false,            # flip x &amp; y axes
+                            strainrate = true,              # strainrate (otherwise stress)
+                            viscosity = false,              # plot viscosity instead of strainrate/stress
+                            boundaries = true,              # plot deformation boundaries
+                            levels = 20,                    # number of contour levels
+                            colormap=:viridis,              # colormap
+                            filename=nothing,               # if you want to save this to file
+                            fontsize=40,                    # fontsize of labels
+                            res=(1200, 900))                # resolution in pixels</code></pre><p>Creates a deformation mechanism map (T/εII vs. stress/viscosity or T/τII vs. strainrate/viscosity) for given (composite) rheology <code>v</code></p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; v1 = SetDiffusionCreep(&quot;Dry Anorthite | Rybacki et al. (2006)&quot;)
+julia&gt; v2 = SetDislocationCreep(&quot;Dry Anorthite | Rybacki et al. (2006)&quot;)
+julia&gt; v=CompositeRheology(v1,v2)
+julia&gt; PlotDeformationMap(v, levels=100, colormap=:roma)</code></pre><p>Next, let&#39;s plot viscosity and flip x &amp; y axis:</p><pre><code class="language-julia hljs">julia&gt; PlotDeformationMap(v, viscosity=true, rotate_axes=true)</code></pre><p>Instead of plotting stress vs. T and computing strainrate, we can also provide strainrate/T and compute stress:</p><pre><code class="language-julia hljs">julia&gt; PlotDeformationMap(v, strainrate=false)</code></pre><p>Or plot viscosity but only add contours in a certain range:</p><pre><code class="language-julia hljs">julia&gt; PlotDeformationMap(v,  strainrate=false, viscosity=true, levels=Vector(18:.25:24))</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Plotting/Plotting.jl#L910-L948">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../strengthenvelope/">« 1D Strength Envelope</a><a class="docs-footer-nextpage" href="../listfunctions/">List of functions »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Wednesday 28 June 2023 08:16">Wednesday 28 June 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.0/man/radioactiveheating/index.html b/v0.5.0/man/radioactiveheating/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Radioactive heat · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li class="is-active"><a class="tocitem" href>Radioactive heat</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Radioactive heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Radioactive heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/radioactiveheating.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Radioactive-heat"><a class="docs-heading-anchor" href="#Radioactive-heat">Radioactive heat</a><a id="Radioactive-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Radioactive-heat" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Radioactive heat sources are defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat" href="#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)</code></pre><p>Set a constant radioactive heat:</p><p class="math-container">\[    H_r  = cst\]</p><p>where <span>$H_r$</span> is the radioactive heat source [<span>$Watt/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Energy/RadioactiveHeat.jl#L23-L31">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat" href="#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ExpDepthDependent(H_0=1e-6Watt/m^3, h_r=10e3m, z_0=0m)</code></pre><p>Sets an exponential depth-dependent radioactive </p><p class="math-container">\[    H_r  = H_0 \exp \left( {- {(z - z_0) \over h_r}} \right)\]</p><p>where <span>$H_0$</span> is the radioactive heat source [<span>$Watt/m^3$</span>] at <span>$z=z_0$</span> which decays with depth over a characteristic distance <span>$h_r$</span>.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Energy/RadioactiveHeat.jl#L63-L71">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat!</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../latentheat/">« Latent heat</a><a class="docs-footer-nextpage" href="../shearheating/">Shear heating »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Wednesday 28 June 2023 08:16">Wednesday 28 June 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Seismic Velocity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li class="is-active"><a class="tocitem" href>Seismic Velocity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-velocity-correction-for-partial-melt"><span>Seismic velocity correction for partial melt</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-2"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-2"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity"><span>Seismic S-wave velocity correction for (shallow depth) porosity</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-3"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-3"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-velocity-correction-for-anelasticity"><span>Seismic velocity correction for anelasticity</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-4"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-4"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Seismic Velocity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Seismic Velocity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/seismicvelocity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Seismic-velocity"><a class="docs-heading-anchor" href="#Seismic-velocity">Seismic velocity</a><a id="Seismic-velocity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Seismic velocity can specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity" href="#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)</code></pre><p>Set a constant seismic P and S-wave velocity:</p><p class="math-container">\[    V_p = cst\]</p><p class="math-container">\[    V_s = cst\]</p><p>where <span>$V_p, V_s$</span> are the P-wave and S-wave velocities [<span>$km/s$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/SeismicVelocity/SeismicVelocity.jl#L35-L46">source</a></section></article><p>In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.</p><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To evaluate seismic velocity within a user routine, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_swave_velocity!</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_pwave_velocity!</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_pwave_velocity</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_swave_velocity</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-velocity-correction-for-partial-melt"><a class="docs-heading-anchor" href="#Seismic-velocity-correction-for-partial-melt">Seismic velocity correction for partial melt</a><a id="Seismic-velocity-correction-for-partial-melt-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity-correction-for-partial-melt" title="Permalink"></a></h1><h1 id="Methods-2"><a class="docs-heading-anchor" href="#Methods-2">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-2" title="Permalink"></a></h1><p>The routine uses the reduction formulation of Clark et al., (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.</p><h1 id="Computational-routines-2"><a class="docs-heading-anchor" href="#Computational-routines-2">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-2" title="Permalink"></a></h1><p>To compute melt-content based correction for seismic waves velocities, you can use:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.melt_correction</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity"><a class="docs-heading-anchor" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity">Seismic S-wave velocity correction for (shallow depth) porosity</a><a id="Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity" title="Permalink"></a></h1><h1 id="Methods-3"><a class="docs-heading-anchor" href="#Methods-3">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-3" title="Permalink"></a></h1><p>This routine is based on the equilibrium geometry model for the solid skeleton of Takei et al. (1998) and the porosity-depth empirical relationship of Chen et al. (2020)</p><h1 id="Computational-routines-3"><a class="docs-heading-anchor" href="#Computational-routines-3">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-3" title="Permalink"></a></h1><p>To compute porosity based correction for seismic S-wave velocity, you can use:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.porosity_correction</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-velocity-correction-for-anelasticity"><a class="docs-heading-anchor" href="#Seismic-velocity-correction-for-anelasticity">Seismic velocity correction for anelasticity</a><a id="Seismic-velocity-correction-for-anelasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity-correction-for-anelasticity" title="Permalink"></a></h1><h1 id="Methods-4"><a class="docs-heading-anchor" href="#Methods-4">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-4" title="Permalink"></a></h1><p>The routine uses the reduction formulation of karato (1993), using the quality factor formulation from Behn et al. (2009)</p><h1 id="Computational-routines-4"><a class="docs-heading-anchor" href="#Computational-routines-4">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-4" title="Permalink"></a></h1><p>To compute a correction of S-wave velocity for anelasticity, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction" href="#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">    Vs_anel = anelastic_correction(water::Int64, Vs0::Float64,P::Float64,T::Float64)</code></pre><p>This routine computes a correction of S-wave velocity for anelasticity</p><p><strong>Input:</strong></p><ul><li><code>water</code>: water flag, 0 = dry; 1 = dampened; 2 = water saturated </li><li><code>Vs0</code>  : S-wave velocitiy of the solid phase (with or without melt correction)</li><li><code>P</code>    : pressure given in Pa</li><li><code>T</code>    : temperature given in °K</li></ul><p><strong>Output:</strong></p><ul><li><code>Vs_anel</code> : corrected S-wave velocity for anelasticity</li></ul><p>The routine uses the reduction formulation of Karato (1993), using the quality factor formulation from Behn et al. (2009)</p><p><strong>References:</strong></p><ul><li><p>Karato, S. I. (1993). Importance of anelasticity in the interpretation of seismic tomography. Geophysical research letters, 20(15), 1623-1626.</p></li><li><p>Behn, M. D., Hirth, G., &amp; Elsenbeck II, J. R. (2009). Implications of grain size evolution on the seismic structure of the oceanic upper mantle. Earth and Planetary Science Letters, 282(1-4), 178-189.</p></li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/SeismicVelocity/SeismicVelocity.jl#L354-L381">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../phasediagrams/">« Phase Diagrams</a><a class="docs-footer-nextpage" href="../strengthenvelope/">1D Strength Envelope »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Wednesday 28 June 2023 08:16">Wednesday 28 June 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Shear heating · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input 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href="../radioactiveheating/">Radioactive heat</a></li><li class="is-active"><a class="tocitem" href>Shear heating</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Shear heating</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Shear heating</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/shearheating.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Shear-heating"><a class="docs-heading-anchor" href="#Shear-heating">Shear heating</a><a id="Shear-heating-1"></a><a class="docs-heading-anchor-permalink" href="#Shear-heating" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Heat caused by non-recoverable deformation can be specified in </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.ConstantShearheating" href="#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantShearheating(Χ=0.0NoUnits)</code></pre><p>Set the shear heating efficiency [0-1] parameter</p><p class="math-container">\[Χ  = cst\]</p><p>where <span>$\Chi$</span> is the shear heating efficiency [NoUnits]</p><p>Shear heating is computed as</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}(\dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Energy/Shearheating.jl#L22-L36">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">H_s = compute_shearheating(s:&lt;AbstractShearheating, τ, ε, ε_el)</code></pre><p>Computes the shear heating source term</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Energy/Shearheating.jl#L79-L94">source</a></section><section><div><pre><code class="nohighlight hljs">H_s = ComputeShearheating(s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij} \]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Energy/Shearheating.jl#L97-L110">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating!" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_shearheating!(H_s, s:&lt;AbstractShearheating,  τ, ε, ε_el)</code></pre><p>Computes the shear heating source term in-place</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul><p><em>NOTE:</em> The shear heating terms require the full deviatoric stress &amp; strain rate tensors, i.e.:</p><p class="math-container">\[2D: \tau_{ij} = \left(   
+                \begin{matrix}
+                    \tau_{xx} &amp; \tau_{xz} \\
+                    \tau_{zx} &amp; \tau_{zz} 
+                \end{matrix} 
+            \right)\]</p><p>Since <span>$\tau_{zx}=\tau_{xz}$</span>, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used! </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Energy/Shearheating.jl#L115-L142">source</a></section><section><div><pre><code class="nohighlight hljs">compute_shearheating!(H_s, s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term <code>H_s</code> in-place when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij} \]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Energy/Shearheating.jl#L145-L158">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../radioactiveheating/">« Radioactive heat</a><a class="docs-footer-nextpage" href="../gravity/">Gravity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Wednesday 28 June 2023 08:16">Wednesday 28 June 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>1D Strength Envelope · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li class="is-active"><a class="tocitem" href>1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>1D Strength Envelope</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>1D Strength Envelope</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/strengthenvelope.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="D-Strength-envelope"><a class="docs-heading-anchor" href="#D-Strength-envelope">1D Strength envelope</a><a id="D-Strength-envelope-1"></a><a class="docs-heading-anchor-permalink" href="#D-Strength-envelope" title="Permalink"></a></h1><p>We provide a routine for computing a 1D strength envelope and the tools for setting up a temperature structure and lithostatic pressure profile.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ConstTemp" href="#GeoParams.ConstTemp"><code>GeoParams.ConstTemp</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstTemp(T=1000)</code></pre><p>Sets a constant temperature inside the box</p><p>Parameters:</p><ul><li>T : the value</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/StrengthEnvelope/StrengthEnvelope.jl#L8-L15">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.LinTemp" href="#GeoParams.LinTemp"><code>GeoParams.LinTemp</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">LinTemp(Ttop=0, Tbot=1000)</code></pre><p>Sets a linear temperature structure from top to bottom</p><p>Parameters:</p><ul><li>Ttop: the value @ the top</li><li>Tbot: the value @ the bottom</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/StrengthEnvelope/StrengthEnvelope.jl#L33-L41">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.HalfspaceCoolTemp" href="#GeoParams.HalfspaceCoolTemp"><code>GeoParams.HalfspaceCoolTemp</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">HalfspaceCoolTemp(Tsurface=0, Tmantle=1350, Age=60, Adiabat=0)</code></pre><p>Sets a halfspace temperature structure in plate</p><p>Parameters:</p><ul><li>Tsurface: surface temperature [C]</li><li>Tmantle:  mantle temperature [C]</li><li>Age:      Thermal Age of plate [Myrs]</li><li>Adiabat:  Mantle Adiabat [K/km]</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/StrengthEnvelope/StrengthEnvelope.jl#L57-L67">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.CompTempStruct" href="#GeoParams.CompTempStruct"><code>GeoParams.CompTempStruct</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CompTempStruct(Z, s::AbstractTempStruct)</code></pre><p>Returns a temperature vector that matches the coordinate vector and temperature structure that were passed in</p><p>Parameters:</p><ul><li>Z: vector with depth coordinates</li><li>s: Temperature structure (CostTemp, LinTemp, HalfspaceCoolTemp)</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/StrengthEnvelope/StrengthEnvelope.jl#L21-L29">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.LithPres" href="#GeoParams.LithPres"><code>GeoParams.LithPres</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">LithPres(MatParam, Phases, ρ, T, dz, g)</code></pre><p>Iteratively solves a 1D lithostatic pressure profile (compatible with temperature- and pressure-dependent densities)</p><p>Parameters:</p><ul><li>MatParam: a tuple of materials (including the following properties: Phase, Density)</li><li>Phases:   vector with the distribution of phases</li><li>ρ:        density vector for initial guess(can be zeros)</li><li>T:        temperature vector</li><li>dz:       grid spacing</li><li>g:        gravitational acceleration</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/StrengthEnvelope/StrengthEnvelope.jl#L89-L101">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.StrengthEnvelopeComp" href="#GeoParams.StrengthEnvelopeComp"><code>GeoParams.StrengthEnvelopeComp</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">StrengthEnvelopeComp(MatParam::NTuple{N, AbstractMaterialParamsStruct}, Thickness::Vector{U}, TempType::AbstractTempStruct=LinTemp(0C, 800C), ε=1e-15/s, nz::Int64=101) where {N, U}</code></pre><p>Calculates a 1D strength envelope. Pressure used for Drucker Prager plasticity is lithostatic. To visualize the results in a GUI, use StrengthEnvelopePlot.</p><p>Parameters:</p><ul><li>MatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)</li><li>Thickness: a vector listing the thicknesses of the respective layers (should carry units)</li><li>TempType:  the type of temperature profile (ConstTemp(), LinTemp(), HalfspaceCoolTemp())</li><li>ε:         background strainrate</li><li>nz:        optional argument controlling the number of points along the profile (default = 101)</li></ul><p><strong>Example:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GLMakie
+julia&gt; MatParam = (SetMaterialParams(Name=&quot;UC&quot;, Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(&quot;Wet Quartzite | Ueda et al. (2008)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;MC&quot;, Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(&quot;Plagioclase An75 | Ji and Zhao (1993)&quot;), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;LC&quot;, Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(&quot;Maryland strong diabase | Mackwell et al. (1998)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));
+julia&gt; Thickness = [15,10,15]*km;
+
+julia&gt; StrengthEnvelopeComp(MatParam, Thickness, LinTemp(), ε=1e-15/s)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/StrengthEnvelope/StrengthEnvelope.jl#L165-L187">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.StrengthEnvelopePlot" href="#GeoParams.StrengthEnvelopePlot"><code>GeoParams.StrengthEnvelopePlot</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">StrengthEnvelopePlot(MatParam, Thickness; TempType, nz)</code></pre><p>Requires GLMakie</p><p>Creates a GUI that plots a 1D strength envelope. In the GUI, temperature profile and strain rate can be adjusted. The Drucker-Prager plasticity uses lithostatic pressure.</p><p>Parameters:</p><ul><li>MatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)</li><li>Thickness: a vector listing the thicknesses of the respective layers (should carry units)</li><li>TempType:  the type of temperature profile (LinTemp=default, HalfspaceCoolTemp, ConstTemp)</li><li>nz:        optional argument controlling the number of points along the profile (default = 101)</li></ul><p><strong>Example:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GLMakie
+julia&gt; MatParam = (SetMaterialParams(Name=&quot;UC&quot;, Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(&quot;Wet Quartzite | Ueda et al. (2008)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;MC&quot;, Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(&quot;Plagioclase An75 | Ji and Zhao (1993)&quot;), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;LC&quot;, Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(&quot;Maryland strong diabase | Mackwell et al. (1998)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));
+julia&gt; Thickness = [15,10,15]*km;
+
+julia&gt; StrengthEnvelopePlot(MatParam, Thickness, LinTemp())</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/StrengthEnvelope/StrengthEnvelope.jl#L232-L255">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../seismicvelocity/">« Seismic Velocity</a><a class="docs-footer-nextpage" href="../plotting/">Plotting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Wednesday 28 June 2023 08:16">Wednesday 28 June 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.0/man/tables/index.html b/v0.5.0/man/tables/index.html
new file mode 100644
index 000000000..5a5e9d19e
--- /dev/null
+++ b/v0.5.0/man/tables/index.html
@@ -0,0 +1,6 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Tables · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Tables</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Tables</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/tables.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Tables"><a class="docs-heading-anchor" href="#Tables">Tables</a><a id="Tables-1"></a><a class="docs-heading-anchor-permalink" href="#Tables" title="Permalink"></a></h1><p>There are two different formats of output tables that can be produced:</p><ul><li>LaTeX (always comes with &quot;References.bib&quot; for citations)</li><li>Markdown</li></ul><h1 id="Producing-output-table"><a class="docs-heading-anchor" href="#Producing-output-table">Producing output table</a><a id="Producing-output-table-1"></a><a class="docs-heading-anchor-permalink" href="#Producing-output-table" title="Permalink"></a></h1><p><code>ParameterTable()</code> is used to produce an output table of all the material parameters in your phase(s) in LaTeX or Markdown format. All you need is a dimensional <code>phase</code> as defined in section 2. Material Parameters in the README.md of GeoParams. This <code>phase</code> should be given to <code>ParameterTable</code> as first argument. There are optional arguments which can be given in <code>ParameterTable</code>. Those are <code>format</code>, <code>filename</code> and <code>rdigits</code>. The <code>format</code> keyword determines whether your table should be in <code>LaTeX</code> or <code>Markdown</code> format (should be given as string). <code>filename</code> determines the name of the file but can also be used to save the file in a different directory other than the GeoParams package directory (should be given as string, note: no file endings needed since they will be determined by the <code>format</code> keyword!). <code>rdigits</code> gives the numbers of decimals to which all parameter values will be rounded (should be given as integer).</p><p>Example 1:</p><pre><code class="language-julia hljs">julia&gt; MatParam = SetMaterialParams(Name=&quot;Viscous Matrix&quot;, Phase=1,
+                                     Density   = ConstantDensity(),
+                                     CreepLaws = LinearViscous(η=1e23Pa*s))
+
+julia&gt; ParameterTable(MatParam, format=&quot;tex&quot;, filename=&quot;ParameterTable&quot;, rdigits=4)</code></pre><p><img src="../assets/img/LaTeX_table.PNG" alt="latex"/></p><p>Example 2:</p><pre><code class="language-julia hljs">julia&gt; ParameterTable(MatParam, format=&quot;md&quot;, filename=&quot;ParameterTable&quot;, rdigits=4)</code></pre><p><img src="../assets/img/markdown_table.PNG" alt="markdown"/></p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.ParameterTable" href="#GeoParams.Tables.ParameterTable"><code>GeoParams.Tables.ParameterTable</code></a> — <span class="docstring-category">Function</span></header><section><div><p>ParameterTable() creates a table with all parameters saved in the Phase struct. It lets you choose between &quot;latex&quot; and &quot;markdown&quot; as table formats with LaTeX as default. Creates a filename.tex or filename.md file as output. If &quot;latex&quot; is chosen a &quot;Reference.bib&quot; file will automatically be produced with all your references. Storage path by default is the GeoParams package folder. A specific storage path can be given as normal path with &quot;\filename&quot; in the end as a string. Use double backslash for subfolders. There is no file extension needed to be given.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Tables.jl#L1171-L1176">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.Phase2Dict" href="#GeoParams.Tables.Phase2Dict"><code>GeoParams.Tables.Phase2Dict</code></a> — <span class="docstring-category">Function</span></header><section><div><p>Phase2Dict() puts all parameters of a phase s in a dict.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Tables.jl#L32-L34">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.Phase2DictMd" href="#GeoParams.Tables.Phase2DictMd"><code>GeoParams.Tables.Phase2DictMd</code></a> — <span class="docstring-category">Function</span></header><section><div><p>Phase2DictMd() puts all parameters of a phase in a dict.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Tables.jl#L658-L661">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.Dict2LatexTable" href="#GeoParams.Tables.Dict2LatexTable"><code>GeoParams.Tables.Dict2LatexTable</code></a> — <span class="docstring-category">Function</span></header><section><div><p>Dict2LatexTable() writes a .tex file with all parameters from the Phase2Dict() output in a LaTeX table. rdigits will round numbers with more decimals than rdigits including numbers of 10 to power of n, n being an Integer, for representation purposes. For the exact numbers use the original implemented numbers from the creeplaws of the dict in src/CreepLaw/Data/DiffusionCreep.jl or src/CreepLaw/Data/DislocationCreep.jl.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Tables.jl#L386-L392">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.Dict2MarkdownTable" href="#GeoParams.Tables.Dict2MarkdownTable"><code>GeoParams.Tables.Dict2MarkdownTable</code></a> — <span class="docstring-category">Function</span></header><section><div><p>Dict2MarkdownTable() writes a .md file with all parameters from the Phase2DictMd() output in a Markdown table. rdigits will round numbers with more decimals than rdigits including numbers of 10 to power of n, n being an Integer, for representation purposes. For the exact numbers use the original implemented numbers from the creeplaws of the dict in src/CreepLaw/Data/DiffusionCreep.jl or src/CreepLaw/Data/DislocationCreep.jl.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Tables.jl#L986-L991">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.detachFloatfromExponent" href="#GeoParams.Tables.detachFloatfromExponent"><code>GeoParams.Tables.detachFloatfromExponent</code></a> — <span class="docstring-category">Function</span></header><section><div><p>detachFloatfromExponent() returns the number of float decimals after the comma as Integer, the float number without the exponent as string  and the exponent after the &quot;e&quot; as string. The argument output returns &quot;1&quot; for &quot;ex&quot; if the input number has no exponent.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/Tables.jl#L11-L17">source</a></section></article></article><nav class="docs-footer"><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Wednesday 28 June 2023 08:16">Wednesday 28 June 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.0/man/zirconages/index.html b/v0.5.0/man/zirconages/index.html
new file mode 100644
index 000000000..aef4179b8
--- /dev/null
+++ b/v0.5.0/man/zirconages/index.html
@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Zircon Ages · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li class="is-active"><a class="tocitem" href>Zircon Ages</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Zircon Ages</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Zircon Ages</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/zirconages.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Zircon-age-parameterizations"><a class="docs-heading-anchor" href="#Zircon-age-parameterizations">Zircon age parameterizations</a><a id="Zircon-age-parameterizations-1"></a><a class="docs-heading-anchor-permalink" href="#Zircon-age-parameterizations" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Zircons are one of the ways in which we can date the age &amp; activity of magmatic systems.  Here, we provide a computational routine that computes the zircon age distribution from temperature-time paths</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.ZirconAgeData" href="#GeoParams.ZirconAges.ZirconAgeData"><code>GeoParams.ZirconAges.ZirconAgeData</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ZirconAgeData</code></pre><p>Struct that holds default parameters for the calculations</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/ZirconAge/ZirconAges.jl#L27-L31">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>There is one main routine with which you can compute zircon age probability density functions from a range of temperature-ime paths:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.compute_zircon_age_PDF" href="#GeoParams.ZirconAges.compute_zircon_age_PDF"><code>GeoParams.ZirconAges.compute_zircon_age_PDF</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">time_Ma, PDF_zircons, time_Ma_average, PDF_zircon_average, time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF = compute_zircon_age_PDF(time_years_vecs::Vector{Vector}, Tt_paths_Temp_vecs::Vector{Vector}; ZirconData::ZirconAgeData = ZirconAgeData(), bandwidth=bandwidth, n_analyses=300)</code></pre><p>This computes the PDF (probability density function) with zircon age data from Vectors with Tt-paths	</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/ZirconAge/ZirconAges.jl#L296-L301">source</a></section></article><p>This, in turn, calls two other routines:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.compute_zircons_Ttpath" href="#GeoParams.ZirconAges.compute_zircons_Ttpath"><code>GeoParams.ZirconAges.compute_zircons_Ttpath</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF =  compute_zircons_Ttpath(time_years::AbstractArray{Float64,1}, Tt_paths_Temp::AbstractArray{Float64,2}; ZirconData::ZirconAgeData)</code></pre><p>This computes the number of zircons produced from a series of temperature-time path&#39;s.  The Tt-paths are stored in a 2D matrix <code>Tt_paths_Temp</code> with rows being the temperature at time <code>time_years</code>.</p><p><strong>Input:</strong></p><ul><li><code>time_years</code> : vector of length <code>nt</code> with the time in years (since the beginning of the simulation) of the points provided</li><li><code>Tt_paths_Temp</code> : array of size <code>(nt,npaths)</code>` with the temperature of every path.</li></ul><p>Output:</p><ul><li><code>prob</code> : a vector that gives the relative probability that a zircon with a given age exists</li><li><code>ages_eruptible</code> : age of eruptble magma</li><li><code>number_zircons</code> : 1D array of size <code>(nt,)</code></li><li><code>T_av_time</code>: vector of size <code>nt</code> that contains the average T of the paths</li><li><code>T_sd_time</code>: vector of size <code>nt</code> that contains the standard deviation of the T of the paths</li><li><code>cumPDF</code>: vector of size <code>nt</code> that contains the cumulative probability density function that we have an age of less than a certain one in the samples</li></ul><p>This routine was developed based on an R-routine provided as electronic supplement in the paper:</p><ul><li>Weber, G., Caricchi, L., Arce, J.L., Schmitt, A.K., 2020. Determining the current size and state of subvolcanic magma reservoirs. Nat Commun 11, 5477. https://doi.org/10.1038/s41467-020-19084-2</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/ZirconAge/ZirconAges.jl#L98-L120">source</a></section><section><div><pre><code class="nohighlight hljs">time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF  = compute_zircons_Ttpath(time_years_vecs::Vector{Vector{Float64}}, Tt_paths_Temp::Vector{Vector{Float64}}; ZirconData::ZirconAgeData = ZirconAgeData())</code></pre><p>This accepts Vector{Vector} as input for time and temperature of each Tt-path. Here, the length of the vector can be variable between different points.</p><p>Internally, we interpolate this into a 2D matrix and a longer vector that includes all paths and a single vector with times </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/ZirconAge/ZirconAges.jl#L205-L212">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.zircon_age_PDF" href="#GeoParams.ZirconAges.zircon_age_PDF"><code>GeoParams.ZirconAges.zircon_age_PDF</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">zircon_age_PDF(ages_eruptible::AbstractArray{Float64,1}, number_zircons::AbstractArray{Float64,2}, bandwidth=1e5, n_analyses=300, ZirconData::ZirconAgeData)</code></pre><p>Compute probability density functions for zircon age path&#39;s describes in <code>number_zircons</code> with age <code>ages_eruptible</code> (both computed ). <code>bandwidth</code> is the smoothening window of the resulting curves (in years), whereas <code>n_analyses</code> are the number of analyses done. 	</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ca8de55afa1b9e98badde755c455e633aeea4072/src/ZirconAge/ZirconAges.jl#L256-L260">source</a></section></article><p>We also provide a plotting routine, provided the <code>Plots</code> package is loaded, which produces figures such as: <img src="../assets/img/ZirconAge_PDF.png" alt="subet3"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../TASclassification/">« TAS classification</a><a class="docs-footer-nextpage" href="../phasediagrams/">Phase Diagrams »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Wednesday 28 June 2023 08:16">Wednesday 28 June 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<!DOCTYPE html>
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class="docs-menu"><li><a class="tocitem" href="../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../man/geounit/">GeoUnit</a></li><li><a class="tocitem" href="../man/nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../man/materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../man/density/">Density</a></li><li><a class="tocitem" href="../man/creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../man/customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../man/elasticity/">Elasticity</a></li><li><a class="tocitem" href="../man/plasticity/">Plasticity</a></li><li><a class="tocitem" href="../man/heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../man/conductivity/">Conductivity</a></li><li><a class="tocitem" href="../man/latentheat/">Latent heat</a></li><li><a class="tocitem" href="../man/radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../man/shearheating/">Shear heating</a></li><li><a class="tocitem" href="../man/gravity/">Gravity</a></li><li><a class="tocitem" href="../man/melting/">Partial Melting</a></li><li><a class="tocitem" href="../man/TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../man/zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../man/phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../man/seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../man/strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../man/plotting/">Plotting</a></li><li><a class="tocitem" href="../man/listfunctions/">List of functions</a></li><li><a class="tocitem" href="../man/contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control 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Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body><script src="../search_index.js"></script><script src="../assets/search.js"></script></html>
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+var documenterSearchIndex = {"docs":
+[{"location":"man/phasediagrams/#Phase-Diagrams","page":"Phase Diagrams","title":"Phase Diagrams","text":"","category":"section"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"It is possible to employ phase diagrams as lookup tables, which can be used to compute density, melt fraction or seismic properties, for example. ","category":"page"},{"location":"man/phasediagrams/#Perple_X","page":"Phase Diagrams","title":"Perple_X","text":"","category":"section"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"A popular way to compute phase diagrams (pseudosections) for a given (fixed) chemical composition as a function of pressure and temperature is by using Perple_X. Once a stable assemblage is computed, through Gibbs energy minimisation, it allows you to output a large number of properties such as density, melt fraction or seismic velocities.","category":"page"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"Within GeoParams, we can import this diagram (provided it is formatted in the same manner as LaMEM expects Perple_X input to be).","category":"page"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"GeoParams.MaterialParameters.PhaseDiagrams.PerpleX_LaMEM_Diagram\nGeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","category":"page"},{"location":"man/phasediagrams/#GeoParams.PerpleX_LaMEM_Diagram","page":"Phase Diagrams","title":"GeoParams.PerpleX_LaMEM_Diagram","text":"PD_Data = PerpleX_LaMEM_Diagram(fname::String; CharDim = nothing)\n\nReads a precomputed phase diagram in the LaMEM/Perple_X format (which is a phase diagram computed using Perple_X, but formatted in a manner that is readable using LaMEM). The data is stored in the PhaseDiagram_LookupTable structure.\n\nIf the CharDim object is specified, the values of all diagrams will be non-dimensionalized.\n\nExample\n\njulia> PD_Data = PerpleX_LaMEM_Diagram(\"./test_data/Peridotite.in\")\nPerple_X/LaMEM Phase Diagram Lookup Table: \n                      File    :   ./test_data/Peridotite.in\n                      T       :   293.0 - 1573.000039\n                      P       :   1.0e7 - 2.9999999944e9\n                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp\n                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs\n                                  :Vp, :Vs, :VpVs\n\nOnce imported, the properties on the diagram can be interpolated in a simple manner:\n\njulia> PD_Data.Rho(1500,1e7)\n3042.836820256982\n\nThis also works for vectors or arrays:\n\njulia> T = [1500 1800; 1233 1300]\njulia> P = [1e8 1e9; 1e7 1e7]\njulia> rho = PD_Data.Rho.(T,P)\n\n(Note the dot . in front of the bracket while evaluating arrays).\n\nThe fields that are available depend on what is listed in the diagram file.  The units of the fields are automatically evaluated, and employed to non-dimensionalize the parameters if CharDim is specified. \n\nAlgorithm\n\nInternally, we employ linear interpolation, as provided by the Interpolations.jl package. Values outside the range of the diagram are set to the boundary of the diagram. The interpolation object is directly encoded in the PhaseDiagram_LookupTable` object.  \n\n\n\n\n\n","category":"function"},{"location":"man/phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","page":"Phase Diagrams","title":"GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","text":"Contains data of a Phase Diagram that is regularly spaced in P & T\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#MaterialParameters","page":"Material Parameters","title":"MaterialParameters","text":"","category":"section"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"Material properties for a given phase can be set with SetMaterialParams, whereas all properties are  stored in the MaterialParams structure. Information about the material parameter is found at MaterialParamsInfo. This can be employed ","category":"page"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"MaterialParamsInfo\nSetMaterialParams\nMaterialParams","category":"page"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParamsInfo","text":"MaterialParamsInfo\n\nStructure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.\n\nUsually used in combination with param_info(the_parameter_of_interest)\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.SetMaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.SetMaterialParams","text":"SetMaterialParams(; Name::String=\"\", Phase::Int64=1,\n                    Density             =   nothing, \n                    Gravity             =   nothing,\n                    CreepLaws           =   nothing, \n                    Elasticity          =   nothing, \n                    Plasticity          =   nothing, \n                    CompositeRheology   =   nothing,\n                    Conductivity        =   nothing, \n                    HeatCapacity        =   nothing, \n                    RadioactiveHeat     =   nothing,\n                    LatentHeat          =   nothing,\n                    ShearHeat           =   nothing,\n                    Melting             =   nothing,\n                    SeismicVelocity     =   nothing,\n                    CharDim::GeoUnits   =   nothing)\n\nSets material parameters for a given phase. \n\nIf CharDim is specified the input parameters are non-dimensionalized.   Note that if Density is specified, we also set Gravity even if not explicitly listed\n\nExamples\n\nDefine two viscous creep laws & constant density:\n\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\",\n                       Density   = ConstantDensity(),\n                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))\nPhase 1 : Viscous Matrix\n        | [dimensional units]\n        | \n        |-- Density           : Constant density: ρ=2900 kg m⁻³ \n        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  \n        |                       Linear viscosity: η=1.0e21 Pa s\n\nDefine two viscous creep laws & P/T dependent density and nondimensionalize\n\njulia> CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\", Phase=33,\n                              Density   = PT_Density(),\n                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),\n                              CharDim   = CharUnits_GEO)\nPhase 33: Viscous Matrix\n        | [non-dimensional units]\n        | \n        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0 \n        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18 \n        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001  \n        |                       Linear viscosity: η=10000.0 \n\nYou can also create an array that holds several parameters:\n\njulia> MatParam        =   Array{MaterialParams, 1}(undef, 2);\njulia> Phase           =   1;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Upper Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                            Density  = ConstantDensity(ρ=2900kg/m^3));\njulia> Phase           =   2;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Lower Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),\n                            Density  = PT_Density(ρ0=3000kg/m^3));\njulia> MatParam\n2-element Vector{MaterialParams}:\n Phase 1 : Upper Crust\n    | [dimensional units]\n    | \n    |-- Density           : Constant density: ρ=2900 kg m⁻³ \n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  \n    |                       Linear viscosity: η=1.0e23 Pa s \n                            \n Phase 2 : Lower Crust\n    | [dimensional units]\n    | \n    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa \n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹  \n    |                       Linear viscosity: η=1.0e21 Pa s \n\n\n\n\n\n","category":"function"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParams","text":"MaterialParams\n\nStructure that holds all material parameters for a given phase\n\n\n\n\n\n","category":"type"},{"location":"man/contributing/#Contributing","page":"Contributing","title":"Contributing","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"You can contribute for example by adding new creep laws or by adding new constitutive relationships. If you invest a bit of time now, it will save others in the community a lot of time! The simplest way to do this is by cloning the repository, and creating a new branch for your feature. Once you are happy with what you added (and after you added a test to ensure that it will keep working with future changes), create a pull request and we will evaluate & merge it.","category":"page"},{"location":"man/contributing/#Style-Guide","page":"Contributing","title":"Style Guide","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Follow the style of the surrounding text when making changes. When adding new features please try to stick to the following points whenever applicable.","category":"page"},{"location":"man/contributing/#Julia","page":"Contributing","title":"Julia","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"4-space indentation;\nmodules spanning entire files should not be indented, but modules that have surrounding code should;\nno blank lines at the start or end of files;\ndo not manually align syntax such as = or :: over adjacent lines;\nuse function ... end when a method definition contains more than one toplevel expression;\nrelated short-form method definitions don't need a new line between them;\nunrelated or long-form method definitions must have a blank line separating each one;\nsurround all binary operators with whitespace except for ::, ^, and :;\nfiles containing a single module ... end must be named after the module;\nmethod arguments should be ordered based on the amount of usage within the method body;\nmethods extended from other modules must follow their inherited argument order, not the above rule;\nexplicit return should be preferred except in short-form method definitions;\navoid dense expressions where possible e.g. prefer nested ifs over complex nested ?s;\ninclude a trailing , in vectors, tuples, or method calls that span several lines;\ndo not use multiline comments (#= and =#);\nwrap long lines as near to 92 characters as possible, this includes docstrings;\nfollow the standard naming conventions used in Base.","category":"page"},{"location":"man/contributing/#Markdown","page":"Contributing","title":"Markdown","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Use unbalanced # headers, i.e. no # on the right hand side of the header text;\ninclude a single blank line between toplevel blocks;\nunordered lists must use * bullets with two preceding spaces;\ndo not hard wrap lines;\nuse emphasis (*) and bold (**) sparingly;\nalways use fenced code blocks instead of indented blocks;\nfollow the conventions outlined in the Julia documentation page on documentation.","category":"page"},{"location":"man/latentheat/#Latent-heat","page":"Latent heat","title":"Latent heat","text":"","category":"section"},{"location":"man/latentheat/#Methods","page":"Latent heat","title":"Methods","text":"","category":"section"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"Latent heat (of crystallisation) is defined as ","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","category":"page"},{"location":"man/latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","page":"Latent heat","title":"GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","text":"ConstantLatentHeat(Q_L=400kJ/kg)\n\nSet a constant latent heat:\n\n    Q_L  = cst\n\nwhere Q_L is the latent heat [kJkg].\n\n\n\n\n\n","category":"type"},{"location":"man/latentheat/#Computational-routines","page":"Latent heat","title":"Computational routines","text":"","category":"section"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"To compute, use this:","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"GeoParams.MaterialParameters.LatentHeat.compute_latent_heat","category":"page"},{"location":"man/zirconages/#Zircon-age-parameterizations","page":"Zircon Ages","title":"Zircon age parameterizations","text":"","category":"section"},{"location":"man/zirconages/#Methods","page":"Zircon Ages","title":"Methods","text":"","category":"section"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"Zircons are one of the ways in which we can date the age & activity of magmatic systems.  Here, we provide a computational routine that computes the zircon age distribution from temperature-time paths","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.ZirconAgeData","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.ZirconAgeData","page":"Zircon Ages","title":"GeoParams.ZirconAges.ZirconAgeData","text":"ZirconAgeData\n\nStruct that holds default parameters for the calculations\n\n\n\n\n\n","category":"type"},{"location":"man/zirconages/#Computational-routines","page":"Zircon Ages","title":"Computational routines","text":"","category":"section"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"There is one main routine with which you can compute zircon age probability density functions from a range of temperature-ime paths:","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.compute_zircon_age_PDF","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.compute_zircon_age_PDF","page":"Zircon Ages","title":"GeoParams.ZirconAges.compute_zircon_age_PDF","text":"time_Ma, PDF_zircons, time_Ma_average, PDF_zircon_average, time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF = compute_zircon_age_PDF(time_years_vecs::Vector{Vector}, Tt_paths_Temp_vecs::Vector{Vector}; ZirconData::ZirconAgeData = ZirconAgeData(), bandwidth=bandwidth, n_analyses=300)\n\nThis computes the PDF (probability density function) with zircon age data from Vectors with Tt-paths\t\n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"This, in turn, calls two other routines:","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.compute_zircons_Ttpath\nGeoParams.zircon_age_PDF","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.compute_zircons_Ttpath","page":"Zircon Ages","title":"GeoParams.ZirconAges.compute_zircons_Ttpath","text":"prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF =  compute_zircons_Ttpath(time_years::AbstractArray{Float64,1}, Tt_paths_Temp::AbstractArray{Float64,2}; ZirconData::ZirconAgeData)\n\nThis computes the number of zircons produced from a series of temperature-time path's.  The Tt-paths are stored in a 2D matrix Tt_paths_Temp with rows being the temperature at time time_years.\n\nInput:\n\ntime_years : vector of length nt with the time in years (since the beginning of the simulation) of the points provided\nTt_paths_Temp : array of size (nt,npaths)` with the temperature of every path.\n\nOutput:\n\nprob : a vector that gives the relative probability that a zircon with a given age exists\nages_eruptible : age of eruptble magma\nnumber_zircons : 1D array of size (nt,)\nT_av_time: vector of size nt that contains the average T of the paths\nT_sd_time: vector of size nt that contains the standard deviation of the T of the paths\ncumPDF: vector of size nt that contains the cumulative probability density function that we have an age of less than a certain one in the samples\n\nThis routine was developed based on an R-routine provided as electronic supplement in the paper:\n\nWeber, G., Caricchi, L., Arce, J.L., Schmitt, A.K., 2020. Determining the current size and state of subvolcanic magma reservoirs. Nat Commun 11, 5477. https://doi.org/10.1038/s41467-020-19084-2\n\n\n\n\n\ntime_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF  = compute_zircons_Ttpath(time_years_vecs::Vector{Vector{Float64}}, Tt_paths_Temp::Vector{Vector{Float64}}; ZirconData::ZirconAgeData = ZirconAgeData())\n\nThis accepts Vector{Vector} as input for time and temperature of each Tt-path. Here, the length of the vector can be variable between different points.\n\nInternally, we interpolate this into a 2D matrix and a longer vector that includes all paths and a single vector with times \n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/#GeoParams.ZirconAges.zircon_age_PDF","page":"Zircon Ages","title":"GeoParams.ZirconAges.zircon_age_PDF","text":"zircon_age_PDF(ages_eruptible::AbstractArray{Float64,1}, number_zircons::AbstractArray{Float64,2}, bandwidth=1e5, n_analyses=300, ZirconData::ZirconAgeData)\n\nCompute probability density functions for zircon age path's describes in number_zircons with age ages_eruptible (both computed ). bandwidth is the smoothening window of the resulting curves (in years), whereas n_analyses are the number of analyses done. \t\n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"We also provide a plotting routine, provided the Plots package is loaded, which produces figures such as: (Image: subet3)","category":"page"},{"location":"man/TASclassification/#TAS-rock-classification","page":"TAS classification","title":"TAS rock classification","text":"","category":"section"},{"location":"man/TASclassification/#Methods","page":"TAS classification","title":"Methods","text":"","category":"section"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"When doing coupled petrological-geodynamic modelling, the evolution of the composition of the magma is more easily understood when a rock type is given. This routine is an implementation of the TAS diagram (Total Alkali (TA) vs Silica (S)) from Le Maitre et al., 2002.","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.TASclassificationData","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.TASclassificationData","page":"TAS classification","title":"GeoParams.TASclassification.TASclassificationData","text":"TASclassificationData\n\nStruct that holds default parameters for the TAS diagram\n\n\n\n\n\n","category":"type"},{"location":"man/TASclassification/#Computational-routine","page":"TAS classification","title":"Computational routine","text":"","category":"section"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"There is one routine with which you can retrieve the index of the TAS rock-type. The routine receives as an input a compositional vector [SiO2,Na2O+K2O] in wt% and sends back an index [1-15].","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.computeTASclassification","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.computeTASclassification","page":"TAS classification","title":"GeoParams.TASclassification.computeTASclassification","text":"classIndex computeTASclassification(chemComp::AbstractArray{_T,N}, ClassTASdata::TASclassificationData)\n\nThis compute the classification of the igneous rock using TAS diagram (Total Alkali (TA) vs Silica (S)).\n\nInput:\n\nchemComp : vector rock composition in oxide wt%\n\nOutput:\n\nclassIndex : an integer [0-14] corresponding to a TAS field (TASclassificationData.litho[classIndex])\n\nThis routine was developed based the TAS classification of Le Maitre et al., 2002\n\n\n\n\n\n","category":"function"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"Using the index of the rock-type you can get the name of the corresponding volcanic rock using the following routine.","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.retrieveTASrockType","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.retrieveTASrockType","page":"TAS classification","title":"GeoParams.TASclassification.retrieveTASrockType","text":"retrieveTASrockType(index::Int64; ClassTASdata::TASclassificationData = TASclassificationData())\n\nThis retrieves the name of the volcanic rock-type using the computed index\n\nInput:\n\nindex : integer [1-15]\n\nOutput:\n\nlitho : a string of the name of corresponding volcanic rock\n\n\n\n\n\n","category":"function"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"We also provide a plotting routine, provided the Plots package is loaded, which produces figures such as: (Image: subet3)","category":"page"},{"location":"man/radioactiveheating/#Radioactive-heat","page":"Radioactive heat","title":"Radioactive heat","text":"","category":"section"},{"location":"man/radioactiveheating/#Methods","page":"Radioactive heat","title":"Methods","text":"","category":"section"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"Radioactive heat sources are defined as ","category":"page"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat\nGeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat\n","category":"page"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","text":"ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)\n\nSet a constant radioactive heat:\n\n    H_r  = cst\n\nwhere H_r is the radioactive heat source [Wattm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat","text":"ExpDepthDependent(H_0=1e-6Watt/m^3, h_r=10e3m, z_0=0m)\n\nSets an exponential depth-dependent radioactive \n\n    H_r  = H_0 exp left( - (z - z_0) over h_r right)\n\nwhere H_0 is the radioactive heat source [Wattm^3] at z=z_0 which decays with depth over a characteristic distance h_r.\n\n\n\n\n\n","category":"type"},{"location":"man/radioactiveheating/#Computational-routines","page":"Radioactive heat","title":"Computational routines","text":"","category":"section"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"To compute, use this:","category":"page"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat\nGeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat!","category":"page"},{"location":"man/tables/#Tables","page":"Tables","title":"Tables","text":"","category":"section"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"There are two different formats of output tables that can be produced:","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"LaTeX (always comes with \"References.bib\" for citations)\nMarkdown","category":"page"},{"location":"man/tables/#Producing-output-table","page":"Tables","title":"Producing output table","text":"","category":"section"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"ParameterTable() is used to produce an output table of all the material parameters in your phase(s) in LaTeX or Markdown format. All you need is a dimensional phase as defined in section 2. Material Parameters in the README.md of GeoParams. This phase should be given to ParameterTable as first argument. There are optional arguments which can be given in ParameterTable. Those are format, filename and rdigits. The format keyword determines whether your table should be in LaTeX or Markdown format (should be given as string). filename determines the name of the file but can also be used to save the file in a different directory other than the GeoParams package directory (should be given as string, note: no file endings needed since they will be determined by the format keyword!). rdigits gives the numbers of decimals to which all parameter values will be rounded (should be given as integer).","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"Example 1:","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"julia> MatParam = SetMaterialParams(Name=\"Viscous Matrix\", Phase=1,\n                                     Density   = ConstantDensity(),\n                                     CreepLaws = LinearViscous(η=1e23Pa*s))\n\njulia> ParameterTable(MatParam, format=\"tex\", filename=\"ParameterTable\", rdigits=4)","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"(Image: latex)","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"Example 2:","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"julia> ParameterTable(MatParam, format=\"md\", filename=\"ParameterTable\", rdigits=4)","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"(Image: markdown)","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"GeoParams.ParameterTable\nGeoParams.Phase2Dict\nGeoParams.Phase2DictMd\nGeoParams.Dict2LatexTable\nGeoParams.Dict2MarkdownTable\nGeoParams.detachFloatfromExponent","category":"page"},{"location":"man/tables/#GeoParams.Tables.ParameterTable","page":"Tables","title":"GeoParams.Tables.ParameterTable","text":"ParameterTable() creates a table with all parameters saved in the Phase struct. It lets you choose between \"latex\" and \"markdown\" as table formats with LaTeX as default. Creates a filename.tex or filename.md file as output. If \"latex\" is chosen a \"Reference.bib\" file will automatically be produced with all your references. Storage path by default is the GeoParams package folder. A specific storage path can be given as normal path with \"\\filename\" in the end as a string. Use double backslash for subfolders. There is no file extension needed to be given.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.Phase2Dict","page":"Tables","title":"GeoParams.Tables.Phase2Dict","text":"Phase2Dict() puts all parameters of a phase s in a dict.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.Phase2DictMd","page":"Tables","title":"GeoParams.Tables.Phase2DictMd","text":"Phase2DictMd() puts all parameters of a phase in a dict.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.Dict2LatexTable","page":"Tables","title":"GeoParams.Tables.Dict2LatexTable","text":"Dict2LatexTable() writes a .tex file with all parameters from the Phase2Dict() output in a LaTeX table. rdigits will round numbers with more decimals than rdigits including numbers of 10 to power of n, n being an Integer, for representation purposes. For the exact numbers use the original implemented numbers from the creeplaws of the dict in src/CreepLaw/Data/DiffusionCreep.jl or src/CreepLaw/Data/DislocationCreep.jl.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.Dict2MarkdownTable","page":"Tables","title":"GeoParams.Tables.Dict2MarkdownTable","text":"Dict2MarkdownTable() writes a .md file with all parameters from the Phase2DictMd() output in a Markdown table. rdigits will round numbers with more decimals than rdigits including numbers of 10 to power of n, n being an Integer, for representation purposes. For the exact numbers use the original implemented numbers from the creeplaws of the dict in src/CreepLaw/Data/DiffusionCreep.jl or src/CreepLaw/Data/DislocationCreep.jl.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.detachFloatfromExponent","page":"Tables","title":"GeoParams.Tables.detachFloatfromExponent","text":"detachFloatfromExponent() returns the number of float decimals after the comma as Integer, the float number without the exponent as string  and the exponent after the \"e\" as string. The argument output returns \"1\" for \"ex\" if the input number has no exponent.\n\n\n\n\n\n","category":"function"},{"location":"man/listfunctions/#List-of-all-functions","page":"List of functions","title":"List of all functions","text":"","category":"section"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity","page":"Seismic Velocity","title":"Seismic velocity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"Seismic velocity can specified in a number of ways","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","text":"ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)\n\nSet a constant seismic P and S-wave velocity:\n\n    V_p = cst\n\n    V_s = cst\n\nwhere V_p V_s are the P-wave and S-wave velocities [kms].\n\n\n\n\n\n","category":"type"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.","category":"page"},{"location":"man/seismicvelocity/#Computational-routines","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To evaluate seismic velocity within a user routine, use this:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.compute_swave_velocity!\nGeoParams.compute_pwave_velocity!\nGeoParams.compute_pwave_velocity\nGeoParams.compute_swave_velocity","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity-correction-for-partial-melt","page":"Seismic Velocity","title":"Seismic velocity correction for partial melt","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-2","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"The routine uses the reduction formulation of Clark et al., (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-2","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute melt-content based correction for seismic waves velocities, you can use:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.melt_correction","category":"page"},{"location":"man/seismicvelocity/#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity","page":"Seismic Velocity","title":"Seismic S-wave velocity correction for (shallow depth) porosity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-3","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"This routine is based on the equilibrium geometry model for the solid skeleton of Takei et al. (1998) and the porosity-depth empirical relationship of Chen et al. (2020)","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-3","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute porosity based correction for seismic S-wave velocity, you can use:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.porosity_correction","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity-correction-for-anelasticity","page":"Seismic Velocity","title":"Seismic velocity correction for anelasticity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-4","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"The routine uses the reduction formulation of karato (1993), using the quality factor formulation from Behn et al. (2009)","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-4","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute a correction of S-wave velocity for anelasticity, use this:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.anelastic_correction","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction","text":"    Vs_anel = anelastic_correction(water::Int64, Vs0::Float64,P::Float64,T::Float64)\n\nThis routine computes a correction of S-wave velocity for anelasticity\n\nInput:\n\nwater: water flag, 0 = dry; 1 = dampened; 2 = water saturated \nVs0  : S-wave velocitiy of the solid phase (with or without melt correction)\nP    : pressure given in Pa\nT    : temperature given in °K\n\nOutput:\n\nVs_anel : corrected S-wave velocity for anelasticity\n\nThe routine uses the reduction formulation of Karato (1993), using the quality factor formulation from Behn et al. (2009)\n\nReferences:\n\nKarato, S. I. (1993). Importance of anelasticity in the interpretation of seismic tomography. Geophysical research letters, 20(15), 1623-1626.\nBehn, M. D., Hirth, G., & Elsenbeck II, J. R. (2009). Implications of grain size evolution on the seismic structure of the oceanic upper mantle. Earth and Planetary Science Letters, 282(1-4), 178-189.\n\n\n\n\n\n","category":"function"},{"location":"man/plasticity/#Plasticity","page":"Plasticity","title":"Plasticity","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"Plasticity is a non;linear rheology bthat is actrivated once stresses exceed a certain yield criteria.","category":"page"},{"location":"man/plasticity/#Implemented-laws","page":"Plasticity","title":"Implemented  laws","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"The following plastic law are implemented:","category":"page"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"GeoParams.MaterialParameters.Plasticity.DruckerPrager\nGeoParams.MaterialParameters.Plasticity.DruckerPrager_regularised","category":"page"},{"location":"man/plasticity/#Computational-routines","page":"Plasticity","title":"Computational routines","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"Usually, plasticity should be defined as part of a CompositeRheology structure and calculations can be done as with all other rheology computations by using compute_τII.","category":"page"},{"location":"man/plotting/#Plotting","page":"Plotting","title":"Plotting","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"We provide a number of plotting routines. Note that these plotting routines only become available once the GLMakie package is loaded.","category":"page"},{"location":"man/plotting/#Plot-CreepLaws","page":"Plotting","title":"Plot CreepLaws","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"GeoParams.PlotStressStrainrate_CreepLaw\nGeoParams.PlotHeatCapacity\nGeoParams.PlotConductivity\nGeoParams.PlotMeltFraction\nGeoParams.PlotPhaseDiagram\nGeoParams.PlotDeformationMap","category":"page"},{"location":"man/plotting/#GeoParams.PlotHeatCapacity","page":"Plotting","title":"GeoParams.PlotHeatCapacity","text":"T,Cp,plt = PlotHeatCapacity(cp::AbstractHeatCapacity; T=nothing, plt=nothing, lbl=nothing)\n\nCreates a plot of temperature T vs. heat capacity, as specified in cp (which can be temperature-dependent).\n\nOptional parameters\n\nT: temperature range\nplt: a previously generated plotting object\nlbl: label of the curve\n\nExample\n\njulia> cp = T_HeatCapacity_Whittacker()\njulia> T,Cp,plt = PlotHeatCapacity(cp)\n\nyou can now save the figure to disk with:\n\njulia> using Plots\njulia> savefig(plt,\"Tdependent_heatcapacity.png\")\n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#GeoParams.PlotConductivity","page":"Plotting","title":"GeoParams.PlotConductivity","text":"T,Kk,plt = PlotConductivity(cp::AbstractConductivity; T=nothing, plt=nothing, lbl=nothing)\n\nCreates a plot of temperature T vs. thermal conductivity, as specified in k (which can be temperature-dependent).\n\nOptional parameters\n\nT: temperature range\nplt: a previously generated plotting object\nlbl: label of the curve\n\nExample\n\njulia> k = T_Conductivity_Whittacker()\njulia> T,KK,plt = PlotConductivity(k)\n\nyou can now save the figure to disk with:\n\njulia> using Plots\njulia> savefig(plt,\"Tdependent_conductivity.png\")\n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#GeoParams.PlotPhaseDiagram","page":"Plotting","title":"GeoParams.PlotPhaseDiagram","text":"plt, data, Tvec, Pvec = PlotPhaseDiagram(p::PhaseDiagram_LookupTable; fieldname::Symbol, Tvec=nothing, Pvec=nothing)\n\nPlots a phase diagram as a function of T (x-axis) and P (y-axis). We either use the default ranges of the diagram, or you can specify the temperature and pressure ranges (while specifying units). The return arguments are the plotting object plt (so you can modify properties) as well as the data that is being plotted\n\nExample\n\njulia> PD_data =  Read_LaMEM_Perple_X_Diagram(\"Peridotite.in\")\nPerple_X/LaMEM Phase Diagram Lookup Table: \n                      File    :   Peridotite.in\n                      T       :   293.0 - 1573.000039\n                      P       :   1.0e7 - 2.9999999944e9\n                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp\n                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs\n                                  :Vp, :Vs, :VpVs, :cpxFrac\njulia> PlotPhaseDiagram(PD_data,:meltFrac, Tvec=(100:1:1400).*C, Pvec=(.1:.1:30).*kbar )\n\nThis will generate the following plot (Image: subet2)\n\nYou can also use the default pressure/temperature ranges in the diagrams:\n\njulia> PlotPhaseDiagram(PD_data,:Rho)\n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#GeoParams.PlotDeformationMap","page":"Plotting","title":"GeoParams.PlotDeformationMap","text":"fig = PlotDeformationMap(v;    args=(P=0.0, d=1e-3, f=1.0),  \n                            σ = (1e-2, 1e8),                # in MPa\n                            T = (10, 1000),                 # in C\n                            ε = (1e-22, 1e-8),              # in 1/s\n                            n = 400,                        # number of points\n                            rotate_axes = false,            # flip x & y axes\n                            strainrate = true,              # strainrate (otherwise stress)\n                            viscosity = false,              # plot viscosity instead of strainrate/stress\n                            boundaries = true,              # plot deformation boundaries\n                            levels = 20,                    # number of contour levels\n                            colormap=:viridis,              # colormap\n                            filename=nothing,               # if you want to save this to file\n                            fontsize=40,                    # fontsize of labels\n                            res=(1200, 900))                # resolution in pixels\n\nCreates a deformation mechanism map (T/εII vs. stress/viscosity or T/τII vs. strainrate/viscosity) for given (composite) rheology v\n\nExample\n\njulia> v1 = SetDiffusionCreep(\"Dry Anorthite | Rybacki et al. (2006)\")\njulia> v2 = SetDislocationCreep(\"Dry Anorthite | Rybacki et al. (2006)\")\njulia> v=CompositeRheology(v1,v2)\njulia> PlotDeformationMap(v, levels=100, colormap=:roma)\n\nNext, let's plot viscosity and flip x & y axis:\n\njulia> PlotDeformationMap(v, viscosity=true, rotate_axes=true)\n\nInstead of plotting stress vs. T and computing strainrate, we can also provide strainrate/T and compute stress:\n\njulia> PlotDeformationMap(v, strainrate=false)\n\nOr plot viscosity but only add contours in a certain range:\n\njulia> PlotDeformationMap(v,  strainrate=false, viscosity=true, levels=Vector(18:.25:24))\n\n\n\n\n\n","category":"function"},{"location":"man/geounit/#GeoUnit","page":"GeoUnit","title":"GeoUnit","text":"","category":"section"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Most parameters have physical units (100km, 9.81 ms⁻²). Yet, within numerical solvers it is usually not a good idea to compute with the actual SI units as they (at least in geosciences) tend to result in very large/small numbers, which can cause in roundoff errors.  Therefore, we usually convert the dimensional units into non-dimensional ones befeore starting computations. The results can than be converted back to more convenient units for us when we generate the output (plots, for example).","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"This requires a way to store the dimensions of a parameter, but also, once they are made nondimensional, the original units (otherwise we can't convert them back to dimensional values).","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"For that reason, we use the GeoUnit structure, defined as ","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"struct GeoUnit{T,U}\n    val          :: T\n    unit         :: U\n    isdimensional:: Bool\nend","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"You can define a GeoUnit as:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> a = GeoUnit(100km)\nGeoUnit{dimensional, km}, \n100.0\njulia> b=GeoUnit(100s)\nGeoUnit{dimensional, s}, \n100.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Dividing the two gives the expected result","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> c=a/b\nGeoUnit{dimensional, km s⁻¹·⁰}, \n1.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Can also be a vector:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> T = GeoUnit(100K:10.0K:1000K)\nGeoUnit{dimensional, K}, \n100.0:10.0:1000.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"The numerical value is obtained with:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> NumValue(c)\n1.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"It's unit with","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> Unit(c)\nkm s⁻¹·⁰","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"and the value with unit with","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> Value(c)\n1.0 km s⁻¹·⁰","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"If you multiply or divide a GeoUnit with a normal number, we assume that you are no longer interested in the units and you'll get a Float64:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> c*100\n100.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"The value of the GeoUnit struct becomes clear once we non-dimensionalize it (as explained in more detail in a separate page). For that, first specify which characteristic values you want to use for non-dimensionalisation: ","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> CharDim = GEO_units(length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas);","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Let's define a stress:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> σ=GeoUnit(10MPa)\nGeoUnit{dimensional, MPa}, \n10.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"And transfer it to nondimensional units:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> σ_nd = nondimensionalize(σ,CharDim)\nGeoUnit{nondimensional, MPa}, \n0.9999999999999998","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Instead of 1e7 Pa, we now have 1.0; yet at the same time we know that the original unit of σ_nd was in MPa, which allows to transfer it back to dimensional units:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> dimensionalize(σ_nd,CharDim)\nGeoUnit{dimensional, MPa}, \n10.0","category":"page"},{"location":"man/creeplaws/#CreepLaws","page":"Creep laws","title":"CreepLaws","text":"","category":"section"},{"location":"man/creeplaws/#Implemented-creep-laws","page":"Creep laws","title":"Implemented creep laws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"The following viscous creep laws are implemented:","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"GeoParams.LinearViscous\nGeoParams.PowerlawViscous\nGeoParams.DislocationCreep\nGeoParams.SetDislocationCreep\nGeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep\nGeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous","text":"LinearViscous(η=1e20Pa*s)\n\nDefines a linear viscous creeplaw \n\nThe (isotopic) linear viscous rheology is given by  \n\n    tau_ij = 2 eta dotvarepsilon_ij \n\nor\n\n    dotvarepsilon_ij  = tau_ij  over 2 eta \n\nwhere eta_0 is the reference viscosity [Pa*s] at reference strain rate dotvarepsilon_0[1/s], and n the power law exponent []. \n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous","text":"PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)\n\nDefines a power law viscous creeplaw as: \n\n    tau_ij^n  = 2 eta_0 left( dotvarepsilon_ij over dotvarepsilon_0 right)\n\nwhere eta is the effective viscosity [Pa*s].\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep","text":"DislocationCreep(n = 1.0NoUnits, r = 0.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )\n\nDefines the flow law parameter of a dislocation creep law.\n\nThe (isotropic) dislocation creep law, as used by experimentalists, is given by  \n\n     dotgamma = A sigma_mathrmd^n f_mathrmH2O^r expleft(-fracE+PVRTright)\n\nwhere \n\nn is the power law exponent  \nr is the exponent of fugacity dependence \nA is a pre-exponential factor mathrmMPa^-ns^-1 (if manually defined, n and r must be either pre-defined or substituted) \nE is the activation energy mathrmkJmol \nV is the activation volume mathrmm^3mol \ndotgamma is the strain rate mathrm1s \nsigma_mathrmd is the differential stress mathrmMPa which are converted into second invariants using the Apparatus variable that can be\n\neither AxialCompression, SimpleShear or Invariant. If the flow law parameters are already given as a function of second invariants, choose Apparatus=Invariant.\n\nExample\n\njulia> x2 = DislocationCreep(n=3)\nDislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep","text":"SetDislocationCreep[\"Name of Dislocation Creep\"]\n\nSets predefined dislocation creep data from a dictionary\n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep","text":"DiffusionCreep(r = 0NoUnits, p = A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )\n\nDefines the flow law parameter of a dislocation creep law.\n\nThe (isotropic) diffusion creep law, as used by experimentalists, is given by  \n\n     dotgamma = A sigma_mathrmd d^mathrmp f_mathrmH2O^r expleft(-fracE+PVRTright)\n\nwhere \n\nr is the exponent of fugacity dependence \np is the exponent of grain size\nA is a pre-exponential factor mathrmMPa^-ns^-1 (if manually defined, n and r must be either pre-defined or substituted) \nE is the activation energy mathrmkJmol \nV is the activation volume mathrmm^3mol \ndotgamma is the strain rate mathrm1s \nsigma_mathrmd is the differential stress mathrmMPa\n\nThe experimental parameters are converted into second invariants using the Apparatus variable that can be either AxialCompression, SimpleShear or Invariant. If the flow law parameters are already given as a function of second invariants, choose Apparatus=Invariant.\n\nExample\n\njulia> x2 = DiffusionCreep(Name=\"test\")\nDiffusionCreep: Name = test, n=1.0, r=0.0, p=-3.0, A=1.5 m³·⁰ MPa⁻¹·⁰ s⁻¹·⁰, E=500.0 kJ mol⁻¹·⁰, V=2.4e-5 m³·⁰ mol⁻¹·⁰, FT=1.7320508075688772, FE=1.1547005383792517)\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","text":"SetDiffusionCreep[\"Name of Diffusion Creep\"]\n\nThis is a dictionary with pre-defined creep laws    \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#Computational-routines-for-creep-laws","page":"Creep laws","title":"Computational routines for creep laws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"Once a creep rheology is defined, we can use the following routines to perform computations within the solvers","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"CreepLawVariables\nGeoParams.compute_εII\nGeoParams.compute_εII!\nGeoParams.compute_τII\nGeoParams.compute_τII!\nGeoParams.CorrectionFactor\nGeoParams.RemoveTensorCorrection","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII","text":"compute_εII(a::DiffusionCreep, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)\n\nReturns diffusion creep strainrate as a function of 2nd invariant of the stress tensor tau_II \n\n    dotε_II = A τ_II^n d^p f_H_2O^r exp left(- E + PV over RT right)\n\n\n\n\n\ncompute_εII(s::ConstantElasticity{_T}, τII; τII_old, dt)\n\nComputes elastic strainrate given the deviatoric stress at the current (τII) and old timestep (τII_old), for a timestep dt:\n\n    dotvarepsilon^el = 1 over 2 G D tau_II over Dt   1 over 2 G tau_II- tildetau_II^old over dt \n\nNote that we here solve the scalar equation, which is sufficient for isotropic cases. In tensor form, it would be\n\n    dotvarepsilon^el_ij = 1 over 2 G  tau_ij - tildetau_ij^old over dt \n\nhere tildetau_ij^old is the rotated old deviatoric stress tensor to ensure objectivity (this can be done with Jaumann derivative, or also by using the full rotational formula).\n\n\n\n\n\ncompute_εII(p::DruckerPrager{_T,U,U1}, λdot::_T, τII::_T,  P)\n\nThis computes plastic strain rate invariant for a given λdot\n\n\n\n\n\ncompute_εII(p::DruckerPrager_regularised{_T,U,U1}, λdot::_T, τII::_T,  P)\n\nThis computes plastic strain rate invariant for a given λdot\n\n\n\n\n\ncompute_εII(v::Parallel{T,N}, τII, args; tol=1e-6, verbose=false, n=1)\n\nComputing εII as a function of τII for a Parallel elements is (usually) a nonlinear problem\n\n\n\n\n\ncompute_εII(v::CompositeRheology{T,N}, τII, args; tol=1e-6, verbose=false, n=1)\n\nComputing εII as a function of τII for a composite element is the sum of the individual contributions\n\n\n\n\n\ncompute_εII(v::AbstractPlasticity, τII::_T, args; tol=1e-6, verbose=true)\n\nPerforms local iterations to compute the plastic strainrate. Note that the non-plastic strainrate, ε_np, should be part of args\n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!","text":"compute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)\n\nComputes strainrate as a function of stress\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, s::LinearViscous, TauII::AbstractArray{_T,N})\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, s::ArrheniusType, TauII::AbstractArray{_T,N})\n\n\n\n\n\ncompute_εII!(ε_el::AbstractArray{_T,N}, s::ConstantElasticity{_T}; τII::AbstractArray{_T,N}, τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)\n\nIn-place computation of the elastic shear strainrate for given deviatoric stress invariants at the previous (τII_old) and new (τII) timestep, as well as the timestep dt  \n\n    dotvarepsilon^el = 1 over 2 G D tau_II over Dt   1 over 2 G tau_II- tau_II^old over dt \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII","text":"compute_τII(a::DislocationCreep, EpsII; P, T, f, args...)\n\nComputes the stress for a Dislocation creep law given a certain strain rate\n\n\n\n\n\ncomputeCreepLaw_TauII(EpsII::_T, a::DiffusionCreep; T::_T, P=zero(_T), f=one(_T), d=one(_T), kwargs...)\n\nReturns diffusion creep stress as a function of 2nd invariant of the strain rate \n\n\n\n\n\ncompute_τII(s::LinearViscous, EpsII; kwargs...)\n\nReturns second invariant of the stress tensor given a 2nd invariant of strain rate tensor \n\n\n\n\n\ncompute_τII(s::ArrheniusType, EpsII; kwargs...)\n\nReturns second invariant of the stress tensor given a 2nd invariant of strain rate tensor \n\n\n\n\n\nτII = compute_τII(v::CompositeRheology{T,N}, εII, args; tol=1e-6, verbose=false)\n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!","text":"compute_τII!(TauII::AbstractArray{_T,N}, a::DislocationCreep, EpsII::AbstractArray{_T,N}; \n    P =       zero(TauII)::AbstractArray{_T,N}, \n    T = ones(size(TauII))::AbstractArray{_T,N}, \n    f = ones(size(TauII))::AbstractArray{_T,N})\n\nComputes the deviatoric stress invariant for a dislocation creep law\n\n\n\n\n\ncompute_τII!(τII::AbstractArray{_T,N}, s::ConstantElasticity{_T}. ε_el::AbstractArray{_T,N}; τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)\n\nIn-place update of the elastic stress for given deviatoric strainrate invariants and stres invariant at the old (τII_old) timestep, as well as the timestep dt  \n\n    tau_II = 2 G dt dotvarepsilon^el + tau_II^old\n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#Heat-capacity","page":"Heat Capacity","title":"Heat capacity","text":"","category":"section"},{"location":"man/heatcapacity/#Methods","page":"Heat Capacity","title":"Methods","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"Heat capacity is defined as ","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity\nGeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","text":"ConstantHeatCapacity(cp=1050J/mol/kg)\n\nSet a constant heat capacity:\n\n    cp  = cst\n\nwhere cp is the thermal heat capacity [JkgK].\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","text":"T_HeatCapacity_Whittington()\n\nSets a temperature-dependent heat capacity following the parameterization of Whittington et al. (2009), Nature:\n\n    Cp = (a + b T - cT^2)m \n\nwhere Cp is the heat capacity [JkgK], and abc are parameters that dependent on the temperature T:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nmolmass =   0.22178kg/mol \n\nNote that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than JmolK as in eq.3/4 of the paper)\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#Computational-routines","page":"Heat Capacity","title":"Computational routines","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"To compute, use this:","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity\nGeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","text":"Cp = compute_heatcapacity(s:<AbstractHeatCapacity, P, T)\n\nReturns the heat capacity Cp at any temperature T and pressure P using any of the heat capacity laws implemented.\n\nCurrently available:\n\nConstantHeatCapacity\nT_HeatCapacity_Whittington\n\nExample\n\nUsing dimensional units\n\njulia> T  = (250:100:1250)*K;\njulia> cp = T_HeatCapacity_Whittington()\njulia> Cp = ComputeHeatCapacity(0,T,cp)\n11-element Vector{Unitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:\n  635.4269997294616 J kg⁻¹ K⁻¹\n  850.7470171764261 J kg⁻¹ K⁻¹\n  962.0959598489883 J kg⁻¹ K⁻¹\n 1037.5420433770641 J kg⁻¹ K⁻¹\n 1097.3517921966488 J kg⁻¹ K⁻¹\n 1149.2745563671706 J kg⁻¹ K⁻¹\n 1157.7915050948404 J kg⁻¹ K⁻¹\n 1172.3554874197264 J kg⁻¹ K⁻¹\n 1186.9194697445964 J kg⁻¹ K⁻¹\n  1201.483452069455 J kg⁻¹ K⁻¹\n 1216.0474343943067 J kg⁻¹ K⁻¹\n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","text":"compute_heatcapacity!(Cp::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat})\n\nIn-place computation of heat capacity Cp for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#Melting-Parameterizations","page":"Partial Melting","title":"Melting Parameterizations","text":"","category":"section"},{"location":"man/melting/#Methods","page":"Partial Melting","title":"Methods","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"A number of melting parameterisations are implemented, which can be set with:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.MeltingParam_Caricchi\nGeoParams.MeltingParam.MeltingParam_5thOrder\nGeoParams.MeltingParam.MeltingParam_4thOrder\nGeoParams.MeltingParam.MeltingParam_Quadratic\nGeoParams.MeltingParam.MeltingParam_Assimilation\nGeoParams.MeltingParam.SmoothMelting","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Caricchi","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Caricchi","text":"MeltingParam_Caricchi()\n\nImplements the T-dependent melting parameterisation used by Caricchi, Simpson et al. (as for example described in Simpson) \n\n    theta = (a - (T + c)) over b \n\n    phi_melt = 10 over (10 + e^theta)\n\nNote that T is in Kelvin. As default parameters we employ:\n\nb=23K  a=800K  c=27315K\n\nWhich gives a reasonable fit to experimental data of granodioritic composition (Piwinskii and Wyllie, 1968):\n\n(Image: MeltParam_Carrichi)\n\nReferences\n\nSimpson G. (2017) Practical finite element modelling in Earth Sciences Using MATLAB.\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_5thOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_5thOrder","text":"MeltingParam_5thOrder(a,b,c,d,e,f,T_s,T_l)\n\nUses a 5th order polynomial to describe the melt fraction phi between solidus temperature T_s and liquidus temperature T_l\n\n    phi = a T^5 + b T^4 + c T^3 + d T^2 + e T + f  textrm   for    T_s  T  T_l\n\n    phi = 1  textrm   if    TT_l\n\n    phi = 0  textrm   if    TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_5thOrder)\n\nThe default values are for a composite liquid-line-of-descent:\n\nthe upper part is for Andesite from: (Blatter, D. L. & Carmichael, I. S. (2001) Hydrous phase equilibria of a Mexican highsilica andesite: a candidate for a mantle origin? Geochim. Cosmochim. Acta 65, 4043–4065\nthe lower part is extrapolated to the granitic minimum using the Marxer & Ulmer LLD for Andesite (Marxer, F. & Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. Contributions Mineral. Petrol. 174, 84)\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_4thOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_4thOrder","text":"MeltingParam_4thOrder(b,c,d,e,f,T_s,T_l)\n\nUses a 4th order polynomial to describe the melt fraction phi between solidus temperature T_s and liquidus temperature T_l\n\n    phi = b T^4 + c T^3 + d T^2 + e T + f  textrm   for    T_s  T  T_l\n\n    phi = 1 textrm   if    TT_l\n\n    phi = 0  textrm   if    TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_4thOrder)\n\nThe default values are for Tonalite experiments from Marxer and Ulmer (2019):\n\nMarxer, F. & Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. Contributions Mineral. Petrol. 174, 84\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Quadratic","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Quadratic","text":"MeltingParam_Quadratic(T_s,T_l)\n\nQuadratic melt fraction parameterisation where melt fraction phi depends only on solidus (T_s) and liquidus (T_l) temperature:\n\n    phi = 10 - left( T_l - T over T_l - T_s right)^2\n\n    phi = 10 textrm if  TT_l \n\n    phi = 00 textrm if  TT_s \n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_Quadratic)\n\nThis was used, among others, in Tierney et al. (2016) Geology\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Assimilation","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Assimilation","text":"MeltingParam_Assimilation(T_s,T_l,a)\n\nMelt fraction parameterisation that takes the assimilation of crustal host rocks into account, as used by Tierney et al. (2016) based upon a parameterisation of Spera and Bohrson (2001)\n\nHere, the fraction of molten and assimilated host rocks phi depends on the solidus (T_s) and liquidus (T_l) temperatures of the rocks, as well as on a parameter a=0005\n\n    X = left( T - T_s over T_l - T_s right)\n\n    phi = a cdot left( exp^2ln(100)X - 10 right) textrm if  X  05\n\n    phi = 1- a cdot exp^2ln(100)(1-X)  textrm if  X  05\n\n    phi = 10 textrm if  TT_l \n\n    phi = 00 textrm if  TT_s \n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_Assimilation)\n\nThis was used, among others, in Tierney et al. (2016), who employed as default parameters:\n\n   T_s=97315 T_l=117315 a=0005\n\nReferences\n\nSpera, F.J., and Bohrson, W.A., 2001, Energy-Constrained Open-System Magmatic Processes I: General Model and Energy-Constrained Assimilation and Fractional Crystallization (EC- AFC) Formulation: Journal of Petrology, v. 42, p. 999–1018.\nTierney, C.R., Schmitt, A.K., Lovera, O.M., de Silva, S.L., 2016. Voluminous plutonism during volcanic quiescence revealed by thermochemical modeling of zircon. Geology 44, 683–686. https://doi.org/10.1130/G37968.1\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.SmoothMelting","page":"Partial Melting","title":"GeoParams.MeltingParam.SmoothMelting","text":"SmoothMelting(; p=MeltingParam_4thOrder(), k_sol=0.2/K,  k_liq=0.2/K)\n\nThis smoothens the melting parameterisation p around the solidus T_sol and liquidus T_liq using a smoothened Heaviside step functions for the solidus:\n\n    H_sol =  10 over  1 + exp( -2 k_sol (T - T_sol - 2 over k_sol) )  \n\nand liquidus:        \n\n    H_liq =  10 - 10 over  1 + exp( -2 k_liq (T - T_liq + 2 over k_liq) )  \n\nThe resulting melt fraction phi is computed from the original melt fraction phi_0 (computed using one of the methods above) as:\n\n    phi =  phi_0 H_sol H_liq + 10 - H_liq\n\nThe width of the smoothening zones is controlled by k_sol k_liq (larger values = sharper boundary).\n\nThis is important, as jumps in the derivative dϕdT can cause numerical instabilities in latent heat computations, which is prevented with this smoothening.\n\nExample\n\nLet's consider a 4th order parameterisation:\n\njulia> using GeoParams, Plots\njulia> p = MeltingParam_4thOrder();\njulia> T= collect(650.0:1:1050.) .+ 273.15;\njulia> T,phi,dϕdT =  PlotMeltFraction(p,T=T);\n\nThe same but with smoothening:\n\njulia> p_s = SmoothMelting(p=MeltingParam_4thOrder(), k_liq=0.21/K);\n4th order polynomial melting curve: phi = -7.594512597174117e-10T^4 + 3.469192091489447e-6T^3 + -0.00592352980926T^2 + 4.482855645604745T + -1268.730161921053  963.15 K ≤ T ≤ 1270.15 K with smooth Heaviside function smoothening using k_sol=0.1 K⁻¹·⁰, k_liq=0.11 K⁻¹·⁰\njulia> T_s,phi_s,dϕdT_s =  PlotMeltFraction(p_s,T=T);\n\nWe can create plots of this with:\n\njulia> plt1 = plot(T.-273.15, phi, ylabel=\"Melt Fraction ϕ\", color=:red, label=\"original\", xlabel=\"Temperature [C]\")\njulia> plt1 = plot(plt1, T.-273.15, phi_s,  color=:black, label=\"smoothened\", legend=:bottomright)\njulia> plt2 = plot(T.-273.15, dϕdT, ylabel=\"dϕ/dT\", color=:red, label=\"original\", xlabel=\"Temperature [C]\")\njulia> plt2 = plot(plt2, T.-273.15, dϕdT_s,  color=:black, label=\"smoothened\", legend=:topright)\njulia> plot!(plt1,plt2,   xlabel=\"Temperature [C]\", layout=(2,1))\n\nThe derivative no longer has a jump now:\n\n(Image: MeltingParam_Smooth)\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#Computational-routines","page":"Partial Melting","title":"Computational routines","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"To compute the melt fraction at given T and P, use:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.compute_meltfraction!\nGeoParams.MeltingParam.compute_meltfraction","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction!","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction!","text":"compute_meltfraction!(ϕ::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T:AbstractArray{<:AbstractFloat}, p::PhaseDiagram_LookupTable)\n\nIn-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified.\n\n\n\n\n\ncompute_meltfraction(ϕ::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction","text":"compute_meltfraction(P,T, p::AbstractPhaseDiagramsStruct)\n\nComputes melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified.\n\n\n\n\n\nϕ = compute_meltfraction(Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"You can also obtain the derivative of melt fraction versus temperature with (useful to compute latent heat effects):","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.compute_dϕdT!\nGeoParams.MeltingParam.compute_dϕdT","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.compute_dϕdT!","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_dϕdT!","text":"compute_dϕdT!(ϕ::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputates the derivative of melt fraction ϕ versus temperature T, partial phi over partial T for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays. This is employed, for example, in computing latent heat terms in an implicit manner.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#GeoParams.MeltingParam.compute_dϕdT","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_dϕdT","text":"compute_dϕdT(P,T, p::AbstractPhaseDiagramsStruct)\n\nComputes derivative of melt fraction vs T in case we use a phase diagram lookup table. The table should have the column :meltFrac specified. The derivative is computed by finite differencing.\n\n\n\n\n\nϕ = compute_dϕdT(Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputates the derivative of melt fraction ϕ versus temperature T for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays. This is employed in computing latent heat terms in an implicit manner, for example\n\n\n\n\n\n","category":"function"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"Also note that phase diagrams can be imported using PerpleX_LaMEM_Diagram, which may also have melt content information.  The computational routines work with that as well.","category":"page"},{"location":"man/melting/#Plotting-routines","page":"Partial Melting","title":"Plotting routines","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"You can use the routine PlotMeltFraction to create a plot, provided that the Plots package has been loaded","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.PlotMeltFraction","category":"page"},{"location":"man/melting/#GeoParams.PlotMeltFraction","page":"Partial Melting","title":"GeoParams.PlotMeltFraction","text":"T,phi,plt = PlotMeltFraction(p::AbstractMeltingParam; T=nothing, plt=nothing, lbl=nothing)\n\nCreates a plot of temperature T vs. melt fraction, as specified in p.  The 1D curve can be evaluated at a specific pressure P which can be given as a scalar or as an array of the same size as T\n\nOptional parameters\n\nT: temperature range\nP: pressure \nplt: a previously generated plotting object\nlbl: label of the curve\n\nExample\n\njulia> p          =  MeltingParam_Caricchi()\njulia> T,phi,dϕdT =  PlotMeltFraction(p)\n\nyou can now save the figure to disk with:\n\njulia> using Plots\njulia> savefig(plt,\"MeltFraction.png\")\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#D-Strength-envelope","page":"1D Strength Envelope","title":"1D Strength envelope","text":"","category":"section"},{"location":"man/strengthenvelope/","page":"1D Strength Envelope","title":"1D Strength Envelope","text":"We provide a routine for computing a 1D strength envelope and the tools for setting up a temperature structure and lithostatic pressure profile.","category":"page"},{"location":"man/strengthenvelope/","page":"1D Strength Envelope","title":"1D Strength Envelope","text":"GeoParams.ConstTemp\nGeoParams.LinTemp\nGeoParams.HalfspaceCoolTemp\nGeoParams.CompTempStruct\nGeoParams.LithPres\nGeoParams.StrengthEnvelopeComp\nGeoParams.StrengthEnvelopePlot\n![XMasTree](../assets/XMasTree.png)","category":"page"},{"location":"man/strengthenvelope/#GeoParams.ConstTemp","page":"1D Strength Envelope","title":"GeoParams.ConstTemp","text":"ConstTemp(T=1000)\n\nSets a constant temperature inside the box\n\nParameters:\n\nT : the value\n\n\n\n\n\n","category":"type"},{"location":"man/strengthenvelope/#GeoParams.LinTemp","page":"1D Strength Envelope","title":"GeoParams.LinTemp","text":"LinTemp(Ttop=0, Tbot=1000)\n\nSets a linear temperature structure from top to bottom\n\nParameters:\n\nTtop: the value @ the top\nTbot: the value @ the bottom\n\n\n\n\n\n","category":"type"},{"location":"man/strengthenvelope/#GeoParams.HalfspaceCoolTemp","page":"1D Strength Envelope","title":"GeoParams.HalfspaceCoolTemp","text":"HalfspaceCoolTemp(Tsurface=0, Tmantle=1350, Age=60, Adiabat=0)\n\nSets a halfspace temperature structure in plate\n\nParameters:\n\nTsurface: surface temperature [C]\nTmantle:  mantle temperature [C]\nAge:      Thermal Age of plate [Myrs]\nAdiabat:  Mantle Adiabat [K/km]\n\n\n\n\n\n","category":"type"},{"location":"man/strengthenvelope/#GeoParams.CompTempStruct","page":"1D Strength Envelope","title":"GeoParams.CompTempStruct","text":"CompTempStruct(Z, s::AbstractTempStruct)\n\nReturns a temperature vector that matches the coordinate vector and temperature structure that were passed in\n\nParameters:\n\nZ: vector with depth coordinates\ns: Temperature structure (CostTemp, LinTemp, HalfspaceCoolTemp)\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#GeoParams.LithPres","page":"1D Strength Envelope","title":"GeoParams.LithPres","text":"LithPres(MatParam, Phases, ρ, T, dz, g)\n\nIteratively solves a 1D lithostatic pressure profile (compatible with temperature- and pressure-dependent densities)\n\nParameters:\n\nMatParam: a tuple of materials (including the following properties: Phase, Density)\nPhases:   vector with the distribution of phases\nρ:        density vector for initial guess(can be zeros)\nT:        temperature vector\ndz:       grid spacing\ng:        gravitational acceleration\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#GeoParams.StrengthEnvelopeComp","page":"1D Strength Envelope","title":"GeoParams.StrengthEnvelopeComp","text":"StrengthEnvelopeComp(MatParam::NTuple{N, AbstractMaterialParamsStruct}, Thickness::Vector{U}, TempType::AbstractTempStruct=LinTemp(0C, 800C), ε=1e-15/s, nz::Int64=101) where {N, U}\n\nCalculates a 1D strength envelope. Pressure used for Drucker Prager plasticity is lithostatic. To visualize the results in a GUI, use StrengthEnvelopePlot.\n\nParameters:\n\nMatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)\nThickness: a vector listing the thicknesses of the respective layers (should carry units)\nTempType:  the type of temperature profile (ConstTemp(), LinTemp(), HalfspaceCoolTemp())\nε:         background strainrate\nnz:        optional argument controlling the number of points along the profile (default = 101)\n\nExample:\n\njulia> using GLMakie\njulia> MatParam = (SetMaterialParams(Name=\"UC\", Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(\"Wet Quartzite | Ueda et al. (2008)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),\n                   SetMaterialParams(Name=\"MC\", Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(\"Plagioclase An75 | Ji and Zhao (1993)\"), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),\n                   SetMaterialParams(Name=\"LC\", Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(\"Maryland strong diabase | Mackwell et al. (1998)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));\njulia> Thickness = [15,10,15]*km;\n\njulia> StrengthEnvelopeComp(MatParam, Thickness, LinTemp(), ε=1e-15/s)\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#GeoParams.StrengthEnvelopePlot","page":"1D Strength Envelope","title":"GeoParams.StrengthEnvelopePlot","text":"StrengthEnvelopePlot(MatParam, Thickness; TempType, nz)\n\nRequires GLMakie\n\nCreates a GUI that plots a 1D strength envelope. In the GUI, temperature profile and strain rate can be adjusted. The Drucker-Prager plasticity uses lithostatic pressure.\n\nParameters:\n\nMatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)\nThickness: a vector listing the thicknesses of the respective layers (should carry units)\nTempType:  the type of temperature profile (LinTemp=default, HalfspaceCoolTemp, ConstTemp)\nnz:        optional argument controlling the number of points along the profile (default = 101)\n\nExample:\n\njulia> using GLMakie\njulia> MatParam = (SetMaterialParams(Name=\"UC\", Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(\"Wet Quartzite | Ueda et al. (2008)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),\n                   SetMaterialParams(Name=\"MC\", Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(\"Plagioclase An75 | Ji and Zhao (1993)\"), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),\n                   SetMaterialParams(Name=\"LC\", Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(\"Maryland strong diabase | Mackwell et al. (1998)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));\njulia> Thickness = [15,10,15]*km;\n\njulia> StrengthEnvelopePlot(MatParam, Thickness, LinTemp())\n\n\n\n\n\n","category":"function"},{"location":"man/elasticity/#Elasticity","page":"Elasticity","title":"Elasticity","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"Elasticity is, in geodynamics, often used in combination with viscous and plastic rheology.","category":"page"},{"location":"man/elasticity/#Implemented-laws","page":"Elasticity","title":"Implemented laws","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"We provide the following elastic constitutive relationships:","category":"page"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"GeoParams.ConstantElasticity\nGeoParams.SetConstantElasticity","category":"page"},{"location":"man/elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity","page":"Elasticity","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity","text":"ConstantElasticity(G, ν, K, E)\n\nStructure that holds parameters for constant, isotropic, linear elasticity.\n\n\n\n\n\n","category":"type"},{"location":"man/elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity","page":"Elasticity","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity","text":"SetConstantElasticity(; G=nothing, ν=nothing, E=nothing, Kb=nothing)\n\nThis allows setting elastic parameters by specifying 2 out of the 4 elastic parameters G (Elastic shear modulus), ν (Poisson's ratio), E (Young's modulus), or Kb (bulk modulus).\n\n\n\n\n\n","category":"function"},{"location":"man/elasticity/#Computational-routines","page":"Elasticity","title":"Computational routines","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"We can compute the elastic strainrate with:","category":"page"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"GeoParams.compute_εII\nGeoParams.compute_εII!","category":"page"},{"location":"man/shearheating/#Shear-heating","page":"Shear heating","title":"Shear heating","text":"","category":"section"},{"location":"man/shearheating/#Methods","page":"Shear heating","title":"Methods","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"Heat caused by non-recoverable deformation can be specified in ","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","text":"ConstantShearheating(Χ=0.0NoUnits)\n\nSet the shear heating efficiency [0-1] parameter\n\nΧ  = cst\n\nwhere Chi is the shear heating efficiency [NoUnits]\n\nShear heating is computed as\n\nH_s = Chi cdot tau_ij(dotvarepsilon_ij - dotvarepsilon^el_ij)\n\n\n\n\n\n","category":"type"},{"location":"man/shearheating/#Computational-routines","page":"Shear heating","title":"Computational routines","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"To compute, use this:","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.compute_shearheating\nGeoParams.MaterialParameters.Shearheating.compute_shearheating!","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating","text":"H_s = compute_shearheating(s:<AbstractShearheating, τ, ε, ε_el)\n\nComputes the shear heating source term\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\n\n\n\n\nH_s = ComputeShearheating(s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij \n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating!","text":"compute_shearheating!(H_s, s:<AbstractShearheating,  τ, ε, ε_el)\n\nComputes the shear heating source term in-place\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\nNOTE: The shear heating terms require the full deviatoric stress & strain rate tensors, i.e.:\n\n2D tau_ij = left(   \n                beginmatrix\n                    tau_xx  tau_xz \n                    tau_zx  tau_zz \n                endmatrix \n            right)\n\nSince tau_zx=tau_xz, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used! \n\n\n\n\n\ncompute_shearheating!(H_s, s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term H_s in-place when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij \n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#Nondimensionalization","page":"Nondimensionalization","title":"Nondimensionalization","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between GEO, SI or NO units:","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"SI units assume all input and output is in SI units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).\nGEO units uses SI units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as Myrs,km or MPa\nNO units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that velocity is given in m/s).","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"A dimensional parameter can be transformed into a non-dimensional one with nondimensionalize.","category":"page"},{"location":"man/nondimensionalize/#Specify-characteristic-values","page":"Nondimensionalization","title":"Specify characteristic values","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Characteristic values can be defined in 3 ways.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"GeoParams.Units\nAbstractGeoUnit\nGeoUnit\nGeoUnits\nGEO_units\nSI_units\nNO_units\n@unpack_val\n@unpack_units","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units","page":"Nondimensionalization","title":"GeoParams.Units","text":"This provides units and creates a non-dimensionalization object\n\n\n\n\n\n","category":"module"},{"location":"man/nondimensionalize/#GeoParams.Units.AbstractGeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.AbstractGeoUnit","text":"AbstractGeoUnit\n\nAbstract supertype for geo units.\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnit","text":"Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.\n\nHaving that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.\nWith the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnits","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnits","text":"GeoUnits\n\nStructure that holds parameters used for non-dimensionalization\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GEO_units","page":"Nondimensionalization","title":"GeoParams.Units.GEO_units","text":"GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)\n\nCreates a non-dimensionalization object using GEO units.\n\nGEO units implies that upon dimensionalization, time will be in Myrs, length in km, stress in MPa, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (km or m), provided the unit is specified.\n\nExamples:\n\njulia> CharUnits = GEO_units()\nEmploying GEO units \nCharacteristic values: \n         length:      1000 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\njulia> CharUnits.velocity\n1.0e-7 m s⁻¹\n\nIf we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic length:\n\njulia> CharUnits = GEO_units(length=10km)\nEmploying GEO units \nCharacteristic values: \n         length:      10 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.SI_units","page":"Nondimensionalization","title":"GeoParams.Units.SI_units","text":"CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)\n\nSpecify the characteristic values using SI units \n\nExamples:\n\njulia> CharUnits = SI_units(length=1000m)\nEmploying SI units \nCharacteristic values: \n         length:      1000 m\n         time:        1.0e19 s\n         stress:      10 Pa\n         temperature: 1000.0 K\n\nNote that the same can be achieved if the input is given in km:\n\njulia> CharUnits = SI_units(length=1km)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.NO_units","page":"Nondimensionalization","title":"GeoParams.Units.NO_units","text":"CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)\n\nSpecify the characteristic values in non-dimensional units\n\nExamples:\n\njulia> using GeoParams;\njulia> CharUnits = NO_units()\nEmploying NONE units \nCharacteristic values: \n         length:      1\n         time:        1.0 \n         stress:      1\n         temperature: 1.0\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_val","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_val","text":"This unpacks the numerical value of `GeoUnit` in a structure, without the units.\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_val ρ,α = r\njulia> α\n4.0e-5\njulia> typeof(α)\nFloat64\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_units","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_units","text":"This unpacks the numerical value with units of `GeoUnit` parameters in a structure\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_units ρ,α = r\njulia> α\n4.0e-5 K⁻¹·⁰\njulia> typeof(α)\nQuantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#(Non)-dimensionalize-parameters","page":"Nondimensionalization","title":"(Non)-dimensionalize parameters","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"nondimensionalize\ndimensionalize\nisDimensional","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units.nondimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.nondimensionalize","text":"nondimensionalize(param, CharUnits::GeoUnits{TYPE})\n\nNondimensionalizes param using the characteristic values specified in CharUnits\n\nExample 1\n\njulia> using GeoParams;\njulia> CharUnits =   GEO_units();\njulia> v         =   3cm/yr\n3 cm yr⁻¹ \njulia> v_ND      =   nondimensionalize(v, CharUnits) \n0.009506426344208684\n\nExample 2\n\nIn geodynamics one sometimes encounters more funky units\n\njulia> CharUnits =   GEO_units();\njulia> A         =   6.3e-2MPa^-3.05*s^-1\n0.063 MPa⁻³·⁰⁵ s⁻¹\njulia> A_ND      =   nondimensionalize(A, CharUnits) \n7.068716262102384e14\n\nIn case you are interested to see how the units of A look like in different units, use this function from the Unitful package:\n\njulia> uconvert(u\"Pa^-3.05*s^-1\",A) \n3.157479571851836e-20 Pa⁻³·⁰⁵\n\nand to see it decomposed in the basic SI units of length, mass and time:\n\njulia> upreferred(A)\n3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵\n\n\n\n\n\nparam = nondimensionalize(param::NTuple{N,Quantity}, g::GeoUnits{TYPE})\n\nnondimensionalizes a tuple of parameters    \n\n\n\n\n\nMatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nNon-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\nnondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nnondimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\nMatParam_ND = nondimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)\n\nNon-dimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.dimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.dimensionalize","text":"dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes param into the dimensions param_dim using the characteristic values specified in CharUnits.  \n\nExample\n\njulia> CharUnits =   GEO_units();\njulia> v_ND      =   nondimensionalize(3cm/yr, CharUnits) \n0.031688087814028945\njulia> v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) \n3.0 cm yr⁻¹\n\n\n\n\n\ndimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\nDimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nDimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\ndimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)\n\ndimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.isDimensional","page":"Nondimensionalization","title":"GeoParams.Units.isDimensional","text":"isDimensional(MatParam::AbstractMaterialParam)\n\ntrue if MatParam is in dimensional units.    \n\n\n\n\n\n","category":"function"},{"location":"man/density/#Density","page":"Density","title":"Density","text":"","category":"section"},{"location":"man/density/#Methods","page":"Density","title":"Methods","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"The density equation of state can be specified in a number of ways","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.ConstantDensity\nGeoParams.MaterialParameters.Density.PT_Density\nGeoParams.MaterialParameters.Density.Compressible_Density","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.ConstantDensity","page":"Density","title":"GeoParams.MaterialParameters.Density.ConstantDensity","text":"ConstantDensity(ρ=2900kg/m^3)\n\nSet a constant density:\n\n    rho  = cst\n\nwhere rho is the density [kgm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.PT_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.PT_Density","text":"PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)\n\nSet a pressure and temperature-dependent density:\n\n    rho  = rho_0 (10 - alpha (T-T_0) + beta  (P-P_0) )  \n\nwhere rho_0 is the density [kgm^3] at reference temperature T_0 and pressure P_0, alpha is the temperature dependence of density and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.Compressible_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.Compressible_Density","text":"Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)\n\nSet a pressure-dependent density:\n\n    rho  = rho_0 exp(β*(P - P_0))  \n\nwhere rho_0 is the density [kgm^3] at reference pressure P_0 and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#Computational-routines","page":"Density","title":"Computational routines","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"To evaluate density within a user routine, use this:","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.compute_density\nGeoParams.MaterialParameters.Density.compute_density!","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density","text":"compute_density(P,T, s::PhaseDiagram_LookupTable)\n\nInterpolates density as a function of T,P from a lookup table  \n\n\n\n\n\n","category":"function"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density!","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density!","text":"compute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I<:Integer}\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\nExample\n\njulia> MatParam = (SetMaterialParams(Name=\"Mantle\", Phase=1,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                        Density   = PT_Density()\n                        ),\n                    SetMaterialParams(Name=\"Crust\", Phase=2,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),\n                        Density   = ConstantDensity(ρ=2900kg/m^3))\n                  );\njulia> Phases = ones(Int64,400,400);\njulia> Phases[:,20:end] .= 2\njulia> rho     = zeros(size(Phases))\njulia> T       =  ones(size(Phases))\njulia> P       =  ones(size(Phases))*10\njulia> args = (P=P, T=T)\njulia> compute_density!(rho, MatParam, Phases, args)\njulia> rho\n400×400 Matrix{Float64}:\n2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮                            \n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n\nThe routine is made to minimize allocations:\n\njulia> using BenchmarkTools\njulia> @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)\n    203.468 μs (0 allocations: 0 bytes)\n\n_____________________________________________________________________________________________________________________________   \n\ncompute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/density/","page":"Density","title":"Density","text":"Note that density values are usually not used in itself in the governing PDE's, but usually in combination with other parameters, such as rho g or rho c_p. the non-dimensional value of rho may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.","category":"page"},{"location":"man/customrheology/#User-defined-rheology","page":"Custom rheology","title":"User-defined rheology","text":"","category":"section"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"CustomRheology allows the user to interface with GeoParams.jl API for rheology calculations: ","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"struct CustomRheology{F1, F2, T} <: AbstractCreepLaw\n    strain::F1\n    stress::F2\n    args::T\nend","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"where strain and stress are functions that compute the strain rate and deviatoric stress tensors, respectively, and args is a NamedTuple containing any constant (i.e. immutable) physical parameters needed by our CustomRheology. ","category":"page"},{"location":"man/customrheology/#Example:-Arrhenious-type-rheology","page":"Custom rheology","title":"Example: Arrhenious-type rheology","text":"","category":"section"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"The deviatoric stress tau_ij and strain rate tensors dotvarepsilon_ij are simply     tau_ij = 2 eta dotvarepsilon_ij qquad dotvarepsilon_ij  = tau_ij  over 2 eta","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"and the viscosity eta is temperature-dependant     eta = eta_0 * expleft(fracET+T_o-fracET_eta+T_oright)","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"where eta_0 and T_eta are the respective reference viscosity and temperature, T_o is the offset temperature, T is the local temperature, and E is activation energy. ","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Before defining the functions to compute tau and dotvarepsilon, it is convenient to define a helper function to compute the viscosity:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"@inline function custom_viscosity(\n    a::CustomRheology; T = 0.0, kwargs...\n)\n    (; η0, E, To, Tη) = a.args\n    η = η0 * exp(E / (T + To) - E / (Tη + To))\n    return  η\nend","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Then we just need to define two simple functions to compue the second invariants of tau_ij and dotvarepsilon_ij:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"# function to compute deviatoric stress\n@inline function custom_τII(\n    a::CustomRheology, EpsII; kwargs...\n)\n    η = custom_viscosity(a; kwargs...)\n    return 2.0 * (η * EpsII)\nend\n\n# function to compute strain rate\n@inline function custom_εII(\n    a::CustomRheology, TauII; kwargs...\n)\n    η = custom_viscosity(a; kwargs...)\n    return (TauII / η) * 0.5\nend","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Note that the key word argument kwargs... is needed in all the above functions for compatibility with GeoParams.jl. ","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Finally, we need a NamedTuple containing the physical parameters needed by custom_τII and custom_εII:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"# constant parameters, these are typically wrapped into a struct (compulsory)\nparameters = (;\n    η0 = 1.0,\n    E = 23.03,\n    To = 1.0,\n    Tη = 1.0,\n)","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Then the CustomRheology object is created","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"a = CustomRheology(custom_εII, custom_τII, parameters)","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Now we can use our new rheology object with GeoParams.jl methods:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"julia> args = (; T=0.5)\n(T = 0.5,)\n\njulia> τII, εII = 1.5,  0.5\n(1.5, 0.5)\n\njulia> ε = compute_εII(v, τII, args)\n0.016147090412110487\n\njulia> τ = compute_τII(v, εII, args)\n46.44799656521971\n\njulia> dεdτ = dεII_dτII(v, τII, args)\n0.010764726941406991\n\njulia> dτdε = dτII_dεII(v, εII, args)\n92.89599313043942","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"And also works for composite rheologies:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"julia> el = ConstantElasticity(; G=1.0)\nLinear elasticity with shear modulus: G = 1.0, Poisson's ratio: ν = 0.5, bulk modulus: Kb = Inf and Young's module: E=NaN\n\njulia> c = CompositeRheology(v, el)\n--?????----/\\/\\/--\n\njulia> args = (; dt=Inf, T=0.5)\n(dt = Inf, T = 0.5)\n\njulia> ε = compute_εII(c, τII, args)\n0.016147090412110487\n\njulia> τ = compute_τII(c, εII, args)\n46.44799656521971","category":"page"},{"location":"man/gravity/#Gravitational-acceleration","page":"Gravity","title":"Gravitational acceleration","text":"","category":"section"},{"location":"man/gravity/#Methods","page":"Gravity","title":"Methods","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"Gravitational acceleration is defined as ","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","text":"GravityConstant(g=9.81m/s^2)\n\nSet a constant value for the gravitational acceleration:\n\n    g  = 981 m s^-2\n\n\n\n\n\n","category":"type"},{"location":"man/gravity/#Computational-routines","page":"Gravity","title":"Computational routines","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"To compute, use this:","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","text":"compute_gravity(s:<AbstractGravity)\n\nReturns the gravitational acceleration \n\n\n\n\n\n","category":"function"},{"location":"#GeoParams.jl","page":"Home","title":"GeoParams.jl","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:","category":"page"},{"location":"","page":"Home","title":"Home","text":"Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).\nMaterial parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. ","category":"page"},{"location":"","page":"Home","title":"Home","text":"We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).","category":"page"},{"location":"man/conductivity/#Conductivity","page":"Conductivity","title":"Conductivity","text":"","category":"section"},{"location":"man/conductivity/#Methods","page":"Conductivity","title":"Methods","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"Thermal conductivity is defined as ","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity\nGeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington\nGeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised\nGeoParams.MaterialParameters.Conductivity.TP_Conductivity\nGeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity","text":"ConstantConductivity(k=3.0W/m/K)\n\nSet a constant conductivity\n\n    k  = cst\n\nwhere k is the thermal conductivity [WmK].\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington","text":"T_Conductivity_Whittington()\n\nSets a temperature-dependent conductivity following the parameterization of Whittington, A.G., Hofmeister, A.M., Nabelek, P.I., 2009. Temperature-dependent thermal diffusivity of the Earth’s crust and implications for magmatism. Nature 458, 319–321. https://doi.org/10.1038/nature07818.  Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us to compute \n\n    Cp = a + b T - cT^2 \n\n    kappa = dT - e textrm if  T=846K\n\n    kappa = f - g*T textrm if  T846K\n\n    rho = 2700 kgm^3\n\n    k = kappa rho Cp\n\nwhere Cp is the heat capacity [JmolK], and abc are parameters that dependent on the temperature T:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nd = 576.3m^2/s*K      \ne = 0.062m^2/s        \nf = 0.732m^2/s        \ng = 0.000135m^2/s/K \n\nThis looks like:\n\n(Image: subet1)\n\nExample\n\njulia> using GeoParams, Plots\njulia> p=T_Conductivity_Whittington();\njulia> T,k,plt = PlotConductivity(p)\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised","text":"T_Conductivity_Whittington_parameterised()\n\nSets a temperature-dependent conductivity that is  parameterization after Whittington, et al.  2009 \n\nThe original parameterization involves quite a few parameters; this is a polynomial fit that is roughly valid from 0-1000 Celsius\n\n    k WmK = -2 10^-9 (T-Ts)^3 + 6 10^-6 (T-Ts)^2 - 00062 (T-Ts) + 4\n\n    Ts = 27315 K\n\nwhere T[K] is the temperature in Kelvin (or the nondimensional equivalent of it).\n\nThe comparison of this parameterisation vs. the original one is: (Image: subet1)\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.TP_Conductivity","text":"TP_Conductivity()\n\nSets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for  \n\n    k = left( a_k +  b_k over T + c_k right) (1 + d_k P) \n\nwhere k is the conductivity [WKm], and a_kb_kc_kd_k are parameters that dependent on the temperature T and pressure P:\n\na_k = 1.18Watt/K/m    \nb_k = 474Watt/m \nc_k = 77K       \nd_k = 0/MPa       \n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","text":"Set_TP_Conductivity[\"Name of temperature(-pressure) dependent conductivity\"]\n\nThis is a dictionary with pre-defined laws:\n\n\"UpperCrust\"    \n\"LowerCrust\"\n\"OceanicCrust\"\n\"Mantle\"\n\nExample\n\njulia> k=Set_TP_Conductivity[\"Mantle\"]\nT/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)  \n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#Computational-routines","page":"Conductivity","title":"Computational routines","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"To compute, use this:","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.compute_conductivity\nGeoParams.MaterialParameters.Conductivity.compute_conductivity!","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity","text":"k = compute_conductivity(P, T, s:<AbstractConductivity)\n\nReturns the thermal conductivity k at any temperature T and pressure P using any of the parameterizations implemented.\n\nCurrently available:\n\nConstantConductivity\nT_Conductivity_Whittington\nTP_Conductivity\n\nExample\n\nUsing dimensional units\n\njulia> T  = (250:100:1250)*K;\njulia> cp = T_HeatCapacity_Whittington()\njulia> Cp = ComputeHeatCapacity(0,T,cp)\n\n\n\n\n\ncompute_conductivity!(K::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},Temp::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of conductivity K for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and Temp arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n_________________________________________________________________________________________________________\n\ncompute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity!","text":"compute_conductivity(k_array::AbstractArray{<:AbstractFloat,N},P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, s::ConstantConductivity) where N\n\nIn-place routine to compute constant conductivity    \n\n\n\n\n\n","category":"function"}]
+}
diff --git a/v0.5.0/siteinfo.js b/v0.5.0/siteinfo.js
new file mode 100644
index 000000000..06e1faf7a
--- /dev/null
+++ b/v0.5.0/siteinfo.js
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+var DOCUMENTER_CURRENT_VERSION = "v0.5.0";
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index 000000000..c7ec86a3a
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diff --git a/v0.5.2/assets/documenter.js b/v0.5.2/assets/documenter.js
new file mode 100644
index 000000000..6adfbbbf4
--- /dev/null
+++ b/v0.5.2/assets/documenter.js
@@ -0,0 +1,331 @@
+// Generated by Documenter.jl
+requirejs.config({
+  paths: {
+    'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia.min',
+    'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min',
+    'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.12.1/jquery-ui.min',
+    'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/contrib/auto-render.min',
+    'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min',
+    'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min',
+    'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min',
+    'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/highlight.min',
+    'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia-repl.min',
+  },
+  shim: {
+  "highlight-julia": {
+    "deps": [
+      "highlight"
+    ]
+  },
+  "katex-auto-render": {
+    "deps": [
+      "katex"
+    ]
+  },
+  "headroom-jquery": {
+    "deps": [
+      "jquery",
+      "headroom"
+    ]
+  },
+  "highlight-julia-repl": {
+    "deps": [
+      "highlight"
+    ]
+  }
+}
+});
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) {
+$(document).ready(function() {
+  renderMathInElement(
+    document.body,
+    {
+  "delimiters": [
+    {
+      "left": "$",
+      "right": "$",
+      "display": false
+    },
+    {
+      "left": "$$",
+      "right": "$$",
+      "display": true
+    },
+    {
+      "left": "\\[",
+      "right": "\\]",
+      "display": true
+    }
+  ]
+}
+
+  );
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) {
+$(document).ready(function() {
+    hljs.highlightAll();
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require([], function() {
+function addCopyButtonCallbacks() {
+  for (const el of document.getElementsByTagName("pre")) {
+    const button = document.createElement("button");
+    button.classList.add("copy-button", "fas", "fa-copy");
+    el.appendChild(button);
+
+    const success = function () {
+      button.classList.add("success", "fa-check");
+      button.classList.remove("fa-copy");
+    };
+
+    const failure = function () {
+      button.classList.add("error", "fa-times");
+      button.classList.remove("fa-copy");
+    };
+
+    button.addEventListener("click", function () {
+      copyToClipboard(el.innerText).then(success, failure);
+
+      setTimeout(function () {
+        button.classList.add("fa-copy");
+        button.classList.remove("success", "fa-check", "fa-times");
+      }, 5000);
+    });
+  }
+}
+
+function copyToClipboard(text) {
+  // clipboard API is only available in secure contexts
+  if (window.navigator && window.navigator.clipboard) {
+    return window.navigator.clipboard.writeText(text);
+  } else {
+    return new Promise(function (resolve, reject) {
+      try {
+        const el = document.createElement("textarea");
+        el.textContent = text;
+        el.style.position = "fixed";
+        el.style.opacity = 0;
+        document.body.appendChild(el);
+        el.select();
+        document.execCommand("copy");
+
+        resolve();
+      } catch (err) {
+        reject(err);
+      } finally {
+        document.body.removeChild(el);
+      }
+    });
+  }
+}
+
+if (document.readyState === "loading") {
+  document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks);
+} else {
+  addCopyButtonCallbacks();
+}
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) {
+
+// Manages the top navigation bar (hides it when the user starts scrolling down on the
+// mobile).
+window.Headroom = Headroom; // work around buggy module loading?
+$(document).ready(function() {
+  $('#documenter .docs-navbar').headroom({
+    "tolerance": {"up": 10, "down": 10},
+  });
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// Modal settings dialog
+$(document).ready(function() {
+  var settings = $('#documenter-settings');
+  $('#documenter-settings-button').click(function(){
+    settings.toggleClass('is-active');
+  });
+  // Close the dialog if X is clicked
+  $('#documenter-settings button.delete').click(function(){
+    settings.removeClass('is-active');
+  });
+  // Close dialog if ESC is pressed
+  $(document).keyup(function(e) {
+    if (e.keyCode == 27) settings.removeClass('is-active');
+  });
+});
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// Manages the showing and hiding of the sidebar.
+$(document).ready(function() {
+  var sidebar = $("#documenter > .docs-sidebar");
+  var sidebar_button = $("#documenter-sidebar-button")
+  sidebar_button.click(function(ev) {
+    ev.preventDefault();
+    sidebar.toggleClass('visible');
+    if (sidebar.hasClass('visible')) {
+      // Makes sure that the current menu item is visible in the sidebar.
+      $("#documenter .docs-menu a.is-active").focus();
+    }
+  });
+  $("#documenter > .docs-main").bind('click', function(ev) {
+    if ($(ev.target).is(sidebar_button)) {
+      return;
+    }
+    if (sidebar.hasClass('visible')) {
+      sidebar.removeClass('visible');
+    }
+  });
+})
+
+// Resizes the package name / sitename in the sidebar if it is too wide.
+// Inspired by: https://github.com/davatron5000/FitText.js
+$(document).ready(function() {
+  e = $("#documenter .docs-autofit");
+  function resize() {
+    var L = parseInt(e.css('max-width'), 10);
+    var L0 = e.width();
+    if(L0 > L) {
+      var h0 = parseInt(e.css('font-size'), 10);
+      e.css('font-size', L * h0 / L0);
+      // TODO: make sure it survives resizes?
+    }
+  }
+  // call once and then register events
+  resize();
+  $(window).resize(resize);
+  $(window).on('orientationchange', resize);
+});
+
+// Scroll the navigation bar to the currently selected menu item
+$(document).ready(function() {
+  var sidebar = $("#documenter .docs-menu").get(0);
+  var active = $("#documenter .docs-menu .is-active").get(0);
+  if(typeof active !== 'undefined') {
+    sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15;
+  }
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+function set_theme(theme) {
+  var active = null;
+  var disabled = [];
+  for (var i = 0; i < document.styleSheets.length; i++) {
+    var ss = document.styleSheets[i];
+    var themename = ss.ownerNode.getAttribute("data-theme-name");
+    if(themename === null) continue; // ignore non-theme stylesheets
+    // Find the active theme
+    if(themename === theme) active = ss;
+    else disabled.push(ss);
+  }
+  if(active !== null) {
+    active.disabled = false;
+    if(active.ownerNode.getAttribute("data-theme-primary") === null) {
+      document.getElementsByTagName('html')[0].className = "theme--" + theme;
+    } else {
+      document.getElementsByTagName('html')[0].className = "";
+    }
+    disabled.forEach(function(ss){
+      ss.disabled = true;
+    });
+  }
+
+  // Store the theme in localStorage
+  if(typeof(window.localStorage) !== "undefined") {
+    window.localStorage.setItem("documenter-theme", theme);
+  } else {
+    console.error("Browser does not support window.localStorage");
+  }
+}
+
+// Theme picker setup
+$(document).ready(function() {
+  // onchange callback
+  $('#documenter-themepicker').change(function themepick_callback(ev){
+    var themename = $('#documenter-themepicker option:selected').attr('value');
+    set_theme(themename);
+  });
+
+  // Make sure that the themepicker displays the correct theme when the theme is retrieved
+  // from localStorage
+  if(typeof(window.localStorage) !== "undefined") {
+    var theme =  window.localStorage.getItem("documenter-theme");
+    if(theme !== null) {
+      $('#documenter-themepicker option').each(function(i,e) {
+        e.selected = (e.value === theme);
+      })
+    } else {
+      $('#documenter-themepicker option').each(function(i,e) {
+        e.selected = $("html").hasClass(`theme--${e.value}`);
+      })
+    }
+  }
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// update the version selector with info from the siteinfo.js and ../versions.js files
+$(document).ready(function() {
+  // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the
+  // siteinfo.js file, we just return immediately and not display the version selector.
+  if (typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === 'boolean' && DOCUMENTER_VERSION_SELECTOR_DISABLED) {
+    return;
+  }
+
+  var version_selector = $("#documenter .docs-version-selector");
+  var version_selector_select = $("#documenter .docs-version-selector select");
+
+  version_selector_select.change(function(x) {
+    target_href = version_selector_select.children("option:selected").get(0).value;
+    window.location.href = target_href;
+  });
+
+  // add the current version to the selector based on siteinfo.js, but only if the selector is empty
+  if (typeof DOCUMENTER_CURRENT_VERSION !== 'undefined' && $('#version-selector > option').length == 0) {
+    var option = $("<option value='#' selected='selected'>" + DOCUMENTER_CURRENT_VERSION + "</option>");
+    version_selector_select.append(option);
+  }
+
+  if (typeof DOC_VERSIONS !== 'undefined') {
+    var existing_versions = version_selector_select.children("option");
+    var existing_versions_texts = existing_versions.map(function(i,x){return x.text});
+    DOC_VERSIONS.forEach(function(each) {
+      var version_url = documenterBaseURL + "/../" + each;
+      var existing_id = $.inArray(each, existing_versions_texts);
+      // if not already in the version selector, add it as a new option,
+      // otherwise update the old option with the URL and enable it
+      if (existing_id == -1) {
+        var option = $("<option value='" + version_url + "'>" + each + "</option>");
+        version_selector_select.append(option);
+      } else {
+        var option = existing_versions[existing_id];
+        option.value = version_url;
+        option.disabled = false;
+      }
+    });
+  }
+
+  // only show the version selector if the selector has been populated
+  if (version_selector_select.children("option").length > 0) {
+    version_selector.toggleClass("visible");
+  }
+})
+
+})
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diff --git a/v0.5.2/assets/logo_avatar.png b/v0.5.2/assets/logo_avatar.png
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diff --git a/v0.5.2/assets/search.js b/v0.5.2/assets/search.js
new file mode 100644
index 000000000..c133f7410
--- /dev/null
+++ b/v0.5.2/assets/search.js
@@ -0,0 +1,267 @@
+// Generated by Documenter.jl
+requirejs.config({
+  paths: {
+    'lunr': 'https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min',
+    'lodash': 'https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.21/lodash.min',
+    'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min',
+  }
+});
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'lunr', 'lodash'], function($, lunr, _) {
+
+$(document).ready(function() {
+  // parseUri 1.2.2
+  // (c) Steven Levithan <stevenlevithan.com>
+  // MIT License
+  function parseUri (str) {
+    var  o   = parseUri.options,
+      m   = o.parser[o.strictMode ? "strict" : "loose"].exec(str),
+      uri = {},
+      i   = 14;
+
+    while (i--) uri[o.key[i]] = m[i] || "";
+
+    uri[o.q.name] = {};
+    uri[o.key[12]].replace(o.q.parser, function ($0, $1, $2) {
+      if ($1) uri[o.q.name][$1] = $2;
+    });
+
+    return uri;
+  };
+  parseUri.options = {
+    strictMode: false,
+    key: ["source","protocol","authority","userInfo","user","password","host","port","relative","path","directory","file","query","anchor"],
+    q:   {
+      name:   "queryKey",
+      parser: /(?:^|&)([^&=]*)=?([^&]*)/g
+    },
+    parser: {
+      strict: /^(?:([^:\/?#]+):)?(?:\/\/((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?))?((((?:[^?#\/]*\/)*)([^?#]*))(?:\?([^#]*))?(?:#(.*))?)/,
+      loose:  /^(?:(?![^:@]+:[^:@\/]*@)([^:\/?#.]+):)?(?:\/\/)?((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?)(((\/(?:[^?#](?![^?#\/]*\.[^?#\/.]+(?:[?#]|$)))*\/?)?([^?#\/]*))(?:\?([^#]*))?(?:#(.*))?)/
+    }
+  };
+
+  $("#search-form").submit(function(e) {
+    e.preventDefault()
+  })
+
+  // list below is the lunr 2.1.3 list minus the intersect with names(Base)
+  // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with)
+  // ideally we'd just filter the original list but it's not available as a variable
+  lunr.stopWordFilter = lunr.generateStopWordFilter([
+    'a',
+    'able',
+    'about',
+    'across',
+    'after',
+    'almost',
+    'also',
+    'am',
+    'among',
+    'an',
+    'and',
+    'are',
+    'as',
+    'at',
+    'be',
+    'because',
+    'been',
+    'but',
+    'by',
+    'can',
+    'cannot',
+    'could',
+    'dear',
+    'did',
+    'does',
+    'either',
+    'ever',
+    'every',
+    'from',
+    'got',
+    'had',
+    'has',
+    'have',
+    'he',
+    'her',
+    'hers',
+    'him',
+    'his',
+    'how',
+    'however',
+    'i',
+    'if',
+    'into',
+    'it',
+    'its',
+    'just',
+    'least',
+    'like',
+    'likely',
+    'may',
+    'me',
+    'might',
+    'most',
+    'must',
+    'my',
+    'neither',
+    'no',
+    'nor',
+    'not',
+    'of',
+    'off',
+    'often',
+    'on',
+    'or',
+    'other',
+    'our',
+    'own',
+    'rather',
+    'said',
+    'say',
+    'says',
+    'she',
+    'should',
+    'since',
+    'so',
+    'some',
+    'than',
+    'that',
+    'the',
+    'their',
+    'them',
+    'then',
+    'there',
+    'these',
+    'they',
+    'this',
+    'tis',
+    'to',
+    'too',
+    'twas',
+    'us',
+    'wants',
+    'was',
+    'we',
+    'were',
+    'what',
+    'when',
+    'who',
+    'whom',
+    'why',
+    'will',
+    'would',
+    'yet',
+    'you',
+    'your'
+  ])
+
+  // add . as a separator, because otherwise "title": "Documenter.Anchors.add!"
+  // would not find anything if searching for "add!", only for the entire qualification
+  lunr.tokenizer.separator = /[\s\-\.]+/
+
+  // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names
+  lunr.trimmer = function (token) {
+    return token.update(function (s) {
+      return s.replace(/^[^a-zA-Z0-9@!]+/, '').replace(/[^a-zA-Z0-9@!]+$/, '')
+    })
+  }
+
+  lunr.Pipeline.registerFunction(lunr.stopWordFilter, 'juliaStopWordFilter')
+  lunr.Pipeline.registerFunction(lunr.trimmer, 'juliaTrimmer')
+
+  var index = lunr(function () {
+    this.ref('location')
+    this.field('title',{boost: 100})
+    this.field('text')
+    documenterSearchIndex['docs'].forEach(function(e) {
+        this.add(e)
+    }, this)
+  })
+  var store = {}
+
+  documenterSearchIndex['docs'].forEach(function(e) {
+      store[e.location] = {title: e.title, category: e.category, page: e.page}
+  })
+
+  $(function(){
+    searchresults = $('#documenter-search-results');
+    searchinfo = $('#documenter-search-info');
+    searchbox = $('#documenter-search-query');
+    searchform = $('.docs-search');
+    sidebar = $('.docs-sidebar');
+    function update_search(querystring) {
+      tokens = lunr.tokenizer(querystring)
+      results = index.query(function (q) {
+        tokens.forEach(function (t) {
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 100,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 10,
+            usePipeline: true,
+            editDistance: 2,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["text"],
+            boost: 1,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+        })
+      })
+      searchinfo.text("Number of results: " + results.length)
+      searchresults.empty()
+      results.forEach(function(result) {
+        data = store[result.ref]
+        link = $('<a class="docs-label">'+data.title+'</a>')
+        link.attr('href', documenterBaseURL+'/'+result.ref)
+        if (data.category != "page"){
+          cat = $('<span class="docs-category">('+data.category+', '+data.page+')</span>')
+        } else {
+          cat = $('<span class="docs-category">('+data.category+')</span>')
+        }
+        li = $('<li>').append(link).append(" ").append(cat)
+        searchresults.append(li)
+      })
+    }
+
+    function update_search_box() {
+      querystring = searchbox.val()
+      update_search(querystring)
+    }
+
+    searchbox.keyup(_.debounce(update_search_box, 250))
+    searchbox.change(update_search_box)
+
+    // Disable enter-key form submission for the searchbox on the search page
+    // and just re-run search rather than refresh the whole page.
+    searchform.keypress(
+      function(event){
+        if (event.which == '13') {
+          if (sidebar.hasClass('visible')) {
+            sidebar.removeClass('visible');
+          }
+          update_search_box();
+          event.preventDefault();
+        }
+      }
+    );
+
+    search_query_uri = parseUri(window.location).queryKey["q"]
+    if(search_query_uri !== undefined) {
+      search_query = decodeURIComponent(search_query_uri.replace(/\+/g, '%20'))
+      searchbox.val(search_query)
+    }
+    update_search_box();
+  })
+})
+
+})
diff --git a/v0.5.2/assets/themes/documenter-dark.css b/v0.5.2/assets/themes/documenter-dark.css
new file mode 100644
index 000000000..c94a294dc
--- /dev/null
+++ b/v0.5.2/assets/themes/documenter-dark.css
@@ -0,0 +1,7 @@
+@keyframes spinAround{from{transform:rotate(0deg)}to{transform:rotate(359deg)}}html.theme--documenter-dark .tabs,html.theme--documenter-dark .pagination-previous,html.theme--documenter-dark .pagination-next,html.theme--documenter-dark .pagination-link,html.theme--documenter-dark .pagination-ellipsis,html.theme--documenter-dark .breadcrumb,html.theme--documenter-dark .file,html.theme--documenter-dark .button,.is-unselectable,html.theme--documenter-dark .modal-close,html.theme--documenter-dark .delete{-webkit-touch-callout:none;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none}html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after,html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after{border:3px solid rgba(0,0,0,0);border-radius:2px;border-right:0;border-top:0;content:" ";display:block;height:0.625em;margin-top:-0.4375em;pointer-events:none;position:absolute;top:50%;transform:rotate(-45deg);transform-origin:center;width:0.625em}html.theme--documenter-dark .admonition:not(:last-child),html.theme--documenter-dark .tabs:not(:last-child),html.theme--documenter-dark .message:not(:last-child),html.theme--documenter-dark .list:not(:last-child),html.theme--documenter-dark .level:not(:last-child),html.theme--documenter-dark .breadcrumb:not(:last-child),html.theme--documenter-dark .highlight:not(:last-child),html.theme--documenter-dark .block:not(:last-child),html.theme--documenter-dark .title:not(:last-child),html.theme--documenter-dark .subtitle:not(:last-child),html.theme--documenter-dark .table-container:not(:last-child),html.theme--documenter-dark .table:not(:last-child),html.theme--documenter-dark .progress:not(:last-child),html.theme--documenter-dark .notification:not(:last-child),html.theme--documenter-dark .content:not(:last-child),html.theme--documenter-dark .box:not(:last-child){margin-bottom:1.5rem}html.theme--documenter-dark .modal-close,html.theme--documenter-dark .delete{-moz-appearance:none;-webkit-appearance:none;background-color:rgba(10,10,10,0.2);border:none;border-radius:290486px;cursor:pointer;pointer-events:auto;display:inline-block;flex-grow:0;flex-shrink:0;font-size:0;height:20px;max-height:20px;max-width:20px;min-height:20px;min-width:20px;outline:none;position:relative;vertical-align:top;width:20px}html.theme--documenter-dark .modal-close::before,html.theme--documenter-dark .delete::before,html.theme--documenter-dark .modal-close::after,html.theme--documenter-dark .delete::after{background-color:#fff;content:"";display:block;left:50%;position:absolute;top:50%;transform:translateX(-50%) translateY(-50%) rotate(45deg);transform-origin:center center}html.theme--documenter-dark .modal-close::before,html.theme--documenter-dark .delete::before{height:2px;width:50%}html.theme--documenter-dark .modal-close::after,html.theme--documenter-dark .delete::after{height:50%;width:2px}html.theme--documenter-dark .modal-close:hover,html.theme--documenter-dark .delete:hover,html.theme--documenter-dark .modal-close:focus,html.theme--documenter-dark .delete:focus{background-color:rgba(10,10,10,0.3)}html.theme--documenter-dark .modal-close:active,html.theme--documenter-dark .delete:active{background-color:rgba(10,10,10,0.4)}html.theme--documenter-dark .is-small.modal-close,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.modal-close,html.theme--documenter-dark .is-small.delete,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.delete{height:16px;max-height:16px;max-width:16px;min-height:16px;min-width:16px;width:16px}html.theme--documenter-dark .is-medium.modal-close,html.theme--documenter-dark .is-medium.delete{height:24px;max-height:24px;max-width:24px;min-height:24px;min-width:24px;width:24px}html.theme--documenter-dark .is-large.modal-close,html.theme--documenter-dark .is-large.delete{height:32px;max-height:32px;max-width:32px;min-height:32px;min-width:32px;width:32px}html.theme--documenter-dark .control.is-loading::after,html.theme--documenter-dark .select.is-loading::after,html.theme--documenter-dark .loader,html.theme--documenter-dark .button.is-loading::after{animation:spinAround 500ms infinite linear;border:2px solid #dbdee0;border-radius:290486px;border-right-color:transparent;border-top-color:transparent;content:"";display:block;height:1em;position:relative;width:1em}html.theme--documenter-dark .hero-video,html.theme--documenter-dark .modal-background,html.theme--documenter-dark .modal,html.theme--documenter-dark .image.is-square img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--documenter-dark .image.is-square .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--documenter-dark .image.is-1by1 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--documenter-dark .image.is-1by1 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--documenter-dark .image.is-5by4 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by4 img,html.theme--documenter-dark .image.is-5by4 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by4 .has-ratio,html.theme--documenter-dark .image.is-4by3 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by3 img,html.theme--documenter-dark .image.is-4by3 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by3 .has-ratio,html.theme--documenter-dark .image.is-3by2 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by2 img,html.theme--documenter-dark .image.is-3by2 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by2 .has-ratio,html.theme--documenter-dark .image.is-5by3 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--documenter-dark .image.is-5by3 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--documenter-dark .image.is-16by9 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--documenter-dark .image.is-16by9 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--documenter-dark .image.is-2by1 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--documenter-dark .image.is-2by1 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--documenter-dark .image.is-3by1 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--documenter-dark .image.is-3by1 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by1 .has-ratio,html.theme--documenter-dark .image.is-4by5 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by5 img,html.theme--documenter-dark .image.is-4by5 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by5 .has-ratio,html.theme--documenter-dark .image.is-3by4 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by4 img,html.theme--documenter-dark .image.is-3by4 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by4 .has-ratio,html.theme--documenter-dark .image.is-2by3 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by3 img,html.theme--documenter-dark .image.is-2by3 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.button.is-white.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-white.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-focused{background-color:#0a0a0a;color:#fff}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black{background-color:#0a0a0a;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:hover,html.theme--documenter-dark .button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:focus,html.theme--documenter-dark .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:focus:not(:active),html.theme--documenter-dark .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--documenter-dark .button.is-black:active,html.theme--documenter-dark .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black{background-color:#0a0a0a;border-color:transparent;box-shadow:none}html.theme--documenter-dark .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted:hover,html.theme--documenter-dark .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-outlined:hover,html.theme--documenter-dark .button.is-black.is-outlined.is-hovered,html.theme--documenter-dark .button.is-black.is-outlined:focus,html.theme--documenter-dark .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--documenter-dark .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-black.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:transparent;color:#282f2f}html.theme--documenter-dark .button.is-light:hover,html.theme--documenter-dark .button.is-light.is-hovered{background-color:#e5eaec;border-color:transparent;color:#282f2f}html.theme--documenter-dark .button.is-light:focus,html.theme--documenter-dark .button.is-light.is-focused{border-color:transparent;color:#282f2f}html.theme--documenter-dark .button.is-light:focus:not(:active),html.theme--documenter-dark .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(236,240,241,0.25)}html.theme--documenter-dark .button.is-light:active,html.theme--documenter-dark .button.is-light.is-active{background-color:#dde4e6;border-color:transparent;color:#282f2f}html.theme--documenter-dark .button.is-light[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:transparent;box-shadow:none}html.theme--documenter-dark .button.is-light.is-inverted{background-color:#282f2f;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-hovered{background-color:#1d2122}html.theme--documenter-dark .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted{background-color:#282f2f;border-color:transparent;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-loading::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-outlined.is-focused{background-color:#ecf0f1;border-color:#ecf0f1;color:#282f2f}html.theme--documenter-dark .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused{background-color:#282f2f;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark,html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:transparent;color:#ecf0f1}html.theme--documenter-dark .button.is-dark:hover,html.theme--documenter-dark .content kbd.button:hover,html.theme--documenter-dark .button.is-dark.is-hovered,html.theme--documenter-dark .content kbd.button.is-hovered{background-color:#232829;border-color:transparent;color:#ecf0f1}html.theme--documenter-dark .button.is-dark:focus,html.theme--documenter-dark .content kbd.button:focus,html.theme--documenter-dark .button.is-dark.is-focused,html.theme--documenter-dark .content kbd.button.is-focused{border-color:transparent;color:#ecf0f1}html.theme--documenter-dark .button.is-dark:focus:not(:active),html.theme--documenter-dark .content kbd.button:focus:not(:active),html.theme--documenter-dark .button.is-dark.is-focused:not(:active),html.theme--documenter-dark .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(40,47,47,0.25)}html.theme--documenter-dark .button.is-dark:active,html.theme--documenter-dark .content kbd.button:active,html.theme--documenter-dark .button.is-dark.is-active,html.theme--documenter-dark .content kbd.button.is-active{background-color:#1d2122;border-color:transparent;color:#ecf0f1}html.theme--documenter-dark .button.is-dark[disabled],html.theme--documenter-dark .content kbd.button[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark,fieldset[disabled] html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:transparent;box-shadow:none}html.theme--documenter-dark .button.is-dark.is-inverted,html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#ecf0f1;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted:hover,html.theme--documenter-dark .content kbd.button.is-inverted:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered{background-color:#dde4e6}html.theme--documenter-dark .button.is-dark.is-inverted[disabled],html.theme--documenter-dark .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#ecf0f1;border-color:transparent;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-loading::after,html.theme--documenter-dark .content kbd.button.is-loading::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-dark.is-outlined,html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-outlined.is-focused{background-color:#282f2f;border-color:#282f2f;color:#ecf0f1}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-dark.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#ecf0f1;color:#ecf0f1}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#ecf0f1;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#ecf0f1;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-primary,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink{background-color:#375a7f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:hover,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-hovered,html.theme--documenter-dark .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#335476;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:focus,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:focus,html.theme--documenter-dark .button.is-primary.is-focused,html.theme--documenter-dark .docstring>section>a.button.is-focused.docs-sourcelink{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:focus:not(:active),html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:focus:not(:active),html.theme--documenter-dark .button.is-primary.is-focused:not(:active),html.theme--documenter-dark .docstring>section>a.button.is-focused.docs-sourcelink:not(:active){box-shadow:0 0 0 0.125em rgba(55,90,127,0.25)}html.theme--documenter-dark .button.is-primary:active,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:active,html.theme--documenter-dark .button.is-primary.is-active,html.theme--documenter-dark .docstring>section>a.button.is-active.docs-sourcelink{background-color:#2f4d6d;border-color:transparent;color:#fff}html.theme--documenter-dark 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.docstring>section>a.button.is-outlined.is-hovered.docs-sourcelink,html.theme--documenter-dark .button.is-primary.is-outlined:focus,html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink:focus,html.theme--documenter-dark .button.is-primary.is-outlined.is-focused,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-focused.docs-sourcelink{background-color:#375a7f;border-color:#375a7f;color:#fff}html.theme--documenter-dark .button.is-primary.is-outlined.is-loading::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink::after{border-color:transparent transparent #375a7f #375a7f !important}html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:hover::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:hover::after,html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark 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.button.is-normal{font-size:15px}html.theme--documenter-dark .button.is-medium{font-size:1.25rem}html.theme--documenter-dark .button.is-large{font-size:1.5rem}html.theme--documenter-dark .button[disabled],fieldset[disabled] html.theme--documenter-dark .button{background-color:#8c9b9d;border-color:#dbdee0;box-shadow:none;opacity:.5}html.theme--documenter-dark .button.is-fullwidth{display:flex;width:100%}html.theme--documenter-dark .button.is-loading{color:transparent !important;pointer-events:none}html.theme--documenter-dark .button.is-loading::after{position:absolute;left:calc(50% - (1em / 2));top:calc(50% - (1em / 2));position:absolute !important}html.theme--documenter-dark .button.is-static{background-color:#282f2f;border-color:#5e6d6f;color:#dbdee0;box-shadow:none;pointer-events:none}html.theme--documenter-dark .button.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{border-radius:290486px;padding-left:1em;padding-right:1em}html.theme--documenter-dark .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--documenter-dark .buttons .button{margin-bottom:0.5rem}html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:0.5rem}html.theme--documenter-dark .buttons:last-child{margin-bottom:-0.5rem}html.theme--documenter-dark .buttons:not(:last-child){margin-bottom:1rem}html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){border-radius:3px;font-size:.85em}html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--documenter-dark .buttons.has-addons 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1215px){html.theme--documenter-dark .container.is-widescreen{max-width:1152px}}@media screen and (max-width: 1407px){html.theme--documenter-dark .container.is-fullhd{max-width:1344px}}@media screen and (min-width: 1216px){html.theme--documenter-dark .container{max-width:1152px}}@media screen and (min-width: 1408px){html.theme--documenter-dark .container{max-width:1344px}}html.theme--documenter-dark .content li+li{margin-top:0.25em}html.theme--documenter-dark .content p:not(:last-child),html.theme--documenter-dark .content dl:not(:last-child),html.theme--documenter-dark .content ol:not(:last-child),html.theme--documenter-dark .content ul:not(:last-child),html.theme--documenter-dark .content blockquote:not(:last-child),html.theme--documenter-dark .content pre:not(:last-child),html.theme--documenter-dark .content table:not(:last-child){margin-bottom:1em}html.theme--documenter-dark .content h1,html.theme--documenter-dark .content h2,html.theme--documenter-dark .content h3,html.theme--documenter-dark .content h4,html.theme--documenter-dark .content h5,html.theme--documenter-dark .content h6{color:#f2f2f2;font-weight:600;line-height:1.125}html.theme--documenter-dark .content h1{font-size:2em;margin-bottom:0.5em}html.theme--documenter-dark .content h1:not(:first-child){margin-top:1em}html.theme--documenter-dark .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--documenter-dark .content h2:not(:first-child){margin-top:1.1428em}html.theme--documenter-dark .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--documenter-dark .content h3:not(:first-child){margin-top:1.3333em}html.theme--documenter-dark .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--documenter-dark .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--documenter-dark .content h6{font-size:1em;margin-bottom:1em}html.theme--documenter-dark .content blockquote{background-color:#282f2f;border-left:5px solid #5e6d6f;padding:1.25em 1.5em}html.theme--documenter-dark .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ol:not([type]){list-style-type:decimal}html.theme--documenter-dark .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--documenter-dark .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--documenter-dark .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--documenter-dark .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--documenter-dark .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--documenter-dark .content ul ul ul{list-style-type:square}html.theme--documenter-dark .content dd{margin-left:2em}html.theme--documenter-dark .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--documenter-dark .content 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diff --git a/v0.5.2/assets/themes/documenter-light.css b/v0.5.2/assets/themes/documenter-light.css
new file mode 100644
index 000000000..9b9a14b04
--- /dev/null
+++ b/v0.5.2/assets/themes/documenter-light.css
@@ -0,0 +1,9 @@
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+  Theme: Default
+  Description: Original highlight.js style
+  Author: (c) Ivan Sagalaev <maniac@softwaremaniacs.org>
+  Maintainer: @highlightjs/core-team
+  Website: https://highlightjs.org/
+  License: see project LICENSE
+  Touched: 2021
+*/pre code.hljs{display:block;overflow-x:auto}code.hljs{padding:3px 5px}.hljs{background:#F0F0F0;color:#444}.hljs-comment{color:#888888}.hljs-tag,.hljs-punctuation{color:#444a}.hljs-tag .hljs-name,.hljs-tag .hljs-attr{color:#444}.hljs-keyword,.hljs-attribute,.hljs-selector-tag,.hljs-meta .hljs-keyword,.hljs-doctag,.hljs-name{font-weight:bold}.hljs-type,.hljs-string,.hljs-number,.hljs-selector-id,.hljs-selector-class,.hljs-quote,.hljs-template-tag,.hljs-deletion{color:#880000}.hljs-title,.hljs-section{color:#880000;font-weight:bold}.hljs-regexp,.hljs-symbol,.hljs-variable,.hljs-template-variable,.hljs-link,.hljs-selector-attr,.hljs-operator,.hljs-selector-pseudo{color:#BC6060}.hljs-literal{color:#78A960}.hljs-built_in,.hljs-bullet,.hljs-code,.hljs-addition{color:#397300}.hljs-meta{color:#1f7199}.hljs-meta .hljs-string{color:#4d99bf}.hljs-emphasis{font-style:italic}.hljs-strong{font-weight:bold}
diff --git a/v0.5.2/assets/themeswap.js b/v0.5.2/assets/themeswap.js
new file mode 100644
index 000000000..c58e993e3
--- /dev/null
+++ b/v0.5.2/assets/themeswap.js
@@ -0,0 +1,66 @@
+// Small function to quickly swap out themes. Gets put into the <head> tag..
+function set_theme_from_local_storage() {
+  // Intialize the theme to null, which means default
+  var theme = null;
+  // If the browser supports the localstorage and is not disabled then try to get the
+  // documenter theme
+  if(window.localStorage != null) {
+    // Get the user-picked theme from localStorage. May be `null`, which means the default
+    // theme.
+    theme =  window.localStorage.getItem("documenter-theme");
+  }
+  // Check if the browser supports user color preference
+  var darkPreference = false;
+  // Check if the users preference is for dark color scheme
+  if(window.matchMedia('(prefers-color-scheme: dark)').matches === true) {
+    darkPreference = true;
+  }
+  // Initialize a few variables for the loop:
+  //
+  //  - active: will contain the index of the theme that should be active. Note that there
+  //    is no guarantee that localStorage contains sane values. If `active` stays `null`
+  //    we either could not find the theme or it is the default (primary) theme anyway.
+  //    Either way, we then need to stick to the primary theme.
+  //
+  //  - disabled: style sheets that should be disabled (i.e. all the theme style sheets
+  //    that are not the currently active theme)
+  var active = null; var disabled = []; var darkTheme = null;
+  for (var i = 0; i < document.styleSheets.length; i++) {
+    var ss = document.styleSheets[i];
+    // The <link> tag of each style sheet is expected to have a data-theme-name attribute
+    // which must contain the name of the theme. The names in localStorage much match this.
+    var themename = ss.ownerNode.getAttribute("data-theme-name");
+    // attribute not set => non-theme stylesheet => ignore
+    if(themename === null) continue;
+    // To distinguish the default (primary) theme, it needs to have the data-theme-primary
+    // attribute set.
+    var isprimary = (ss.ownerNode.getAttribute("data-theme-primary") !== null);
+    // Check if the theme is primary dark theme
+    var isDarkTheme = (ss.ownerNode.getAttribute("data-theme-primary-dark") !== null);
+    // If ss is for dark theme then set the value of darkTheme to the name of the theme
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Home · GeoParams.jl</title><script data-outdated-warner src="assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="."</script><script 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heat</a></li><li><a class="tocitem" href="man/shearheating/">Shear heating</a></li><li><a class="tocitem" href="man/gravity/">Gravity</a></li><li><a class="tocitem" href="man/melting/">Partial Melting</a></li><li><a class="tocitem" href="man/TASclassification/">TAS classification</a></li><li><a class="tocitem" href="man/zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="man/phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="man/seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="man/strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="man/plotting/">Plotting</a></li><li><a class="tocitem" href="man/listfunctions/">List of functions</a></li><li><a class="tocitem" href="man/contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Home</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Home</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/index.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="GeoParams.jl"><a class="docs-heading-anchor" href="#GeoParams.jl">GeoParams.jl</a><a id="GeoParams.jl-1"></a><a class="docs-heading-anchor-permalink" href="#GeoParams.jl" title="Permalink"></a></h1><p>Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:</p><ul><li>Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).</li><li>Material parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. </li></ul><p>We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="man/geounit/">GeoUnit »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 11 December 2023 13:29">Monday 11 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.2/man/TASclassification/index.html b/v0.5.2/man/TASclassification/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>TAS classification · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li class="is-active"><a class="tocitem" href>TAS classification</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routine"><span>Computational routine</span></a></li></ul></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>TAS classification</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>TAS classification</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/TASclassification.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="TAS-rock-classification"><a class="docs-heading-anchor" href="#TAS-rock-classification">TAS rock classification</a><a id="TAS-rock-classification-1"></a><a class="docs-heading-anchor-permalink" href="#TAS-rock-classification" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>When doing coupled petrological-geodynamic modelling, the evolution of the composition of the magma is more easily understood when a rock type is given. This routine is an implementation of the TAS diagram (Total Alkali (TA) vs Silica (S)) from Le Maitre et al., 2002.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.TASclassificationData" href="#GeoParams.TASclassification.TASclassificationData"><code>GeoParams.TASclassification.TASclassificationData</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">TASclassificationData
+
+Struct that holds default parameters for the TAS diagram</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/RockClassification/TASclassification.jl#L47-L51">source</a></section></article><h1 id="Computational-routine"><a class="docs-heading-anchor" href="#Computational-routine">Computational routine</a><a id="Computational-routine-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routine" title="Permalink"></a></h1><p>There is one routine with which you can retrieve the index of the TAS rock-type. The routine receives as an input a compositional vector [SiO2,Na2O+K2O] in wt% and sends back an index [1-15].</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.computeTASclassification" href="#GeoParams.TASclassification.computeTASclassification"><code>GeoParams.TASclassification.computeTASclassification</code></a> — <span class="docstring-category">Function</span></header><section><div><p>classIndex computeTASclassification(chemComp::AbstractArray{_T,N}, ClassTASdata::TASclassificationData)</p><p>This compute the classification of the igneous rock using TAS diagram (Total Alkali (TA) vs Silica (S)).</p><p><strong>Input:</strong></p><ul><li><code>chemComp</code> : vector rock composition in oxide wt%</li></ul><p>Output:</p><ul><li><code>classIndex</code> : an integer [0-14] corresponding to a TAS field (TASclassificationData.litho[classIndex])</li></ul><p>This routine was developed based the TAS classification of Le Maitre et al., 2002</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/RockClassification/TASclassification.jl#L113-L127">source</a></section></article><p>Using the index of the rock-type you can get the name of the corresponding volcanic rock using the following routine.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.retrieveTASrockType" href="#GeoParams.TASclassification.retrieveTASrockType"><code>GeoParams.TASclassification.retrieveTASrockType</code></a> — <span class="docstring-category">Function</span></header><section><div><p>retrieveTASrockType(index::Int64; ClassTASdata::TASclassificationData = TASclassificationData())</p><p>This retrieves the name of the volcanic rock-type using the computed index</p><p><strong>Input:</strong></p><ul><li><code>index</code> : integer [1-15]</li></ul><p>Output:</p><ul><li><code>litho</code> : a string of the name of corresponding volcanic rock</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/RockClassification/TASclassification.jl#L93-L105">source</a></section></article><p>We also provide a plotting routine, provided the GLMakie.jl package is loaded, which produces figures such as: <img src="../assets/img/TAS_diagram.png" alt="subet3"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../melting/">« Partial Melting</a><a class="docs-footer-nextpage" href="../zirconages/">Zircon Ages »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 11 December 2023 13:29">Monday 11 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Conductivity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Conductivity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/conductivity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Conductivity"><a class="docs-heading-anchor" href="#Conductivity">Conductivity</a><a id="Conductivity-1"></a><a class="docs-heading-anchor-permalink" href="#Conductivity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Thermal conductivity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.ConstantConductivity" href="#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantConductivity(k=3.0W/m/K)</code></pre><p>Set a constant conductivity</p><p class="math-container">\[    k  = cst\]</p><p>where <span>$k$</span> is the thermal conductivity [<span>$W/m/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Energy/Conductivity.jl#L29-L37">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington" href="#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Conductivity_Whittington()</code></pre><p>Sets a temperature-dependent conductivity following the parameterization of <em>Whittington, A.G., Hofmeister, A.M., Nabelek, P.I., 2009. Temperature-dependent thermal diffusivity of the Earth’s crust and implications for magmatism. Nature 458, 319–321. https://doi.org/10.1038/nature07818.</em> Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us to compute</p><p class="math-container">\[    Cp = a + b T - c/T^2\]</p><p class="math-container">\[    \kappa = d/T - e \textrm{ if } T&lt;=846K\]</p><p class="math-container">\[    \kappa = f - g*T \textrm{ if } T&gt;846K\]</p><p class="math-container">\[    \rho = 2700 kg/m^3\]</p><p class="math-container">\[    k = \kappa \rho Cp\]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/mol/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <code>T</code>:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>d = 576.3m^2/s*K</li><li>e = 0.062m^2/s</li><li>f = 0.732m^2/s</li><li>g = 0.000135m^2/s/K</li></ul><p>This looks like:</p><p><img src="../assets/img/Conductivity_Whittington.png" alt="subet1"/></p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; using GLMakie, GeoParams
+julia&gt; p=T_Conductivity_Whittington();
+julia&gt; T,k,plt = PlotConductivity(p)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Energy/Conductivity.jl#L80-L126">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised" href="#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Conductivity_Whittington_parameterised()</code></pre><p>Sets a temperature-dependent conductivity that is  parameterization after <em>Whittington, et al.  2009</em></p><p>The original parameterization involves quite a few parameters; this is a polynomial fit that is roughly valid from 0-1000 Celsius</p><p class="math-container">\[    k [W/m/K] = -2 10^{-9} (T-Ts)^3 + 6 10^{-6} (T-Ts)^2 - 0.0062 (T-Ts) + 4\]</p><p class="math-container">\[    Ts = 273.15 K\]</p><p>where <code>T[K]</code> is the temperature in Kelvin (or the nondimensional equivalent of it).</p><p>The comparison of this parameterisation vs. the original one is: <img src="../assets/img/Conductivity_Whittington_smooth.png" alt="subet1"/></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Energy/Conductivity.jl#L217-L235">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">TP_Conductivity()</code></pre><p>Sets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for</p><p class="math-container">\[    k = \left( a_k +  {b_k \over {T + c_k}} \right) (1 + d_k P)\]</p><p>where <span>$k$</span> is the conductivity [<span>$W/K/m$</span>], and <span>$a_k,b_k,c_k,d_k$</span> are parameters that dependent on the temperature <code>T</code> and pressure <code>P</code>:</p><ul><li><span>$a_k$</span> = 1.18Watt/K/m</li><li><span>$b_k$</span> = 474Watt/m</li><li><span>$c_k$</span> = 77K</li><li><span>$d_k$</span> = 0/MPa</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Energy/Conductivity.jl#L312-L327">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">Set_TP_Conductivity[&quot;Name of temperature(-pressure) dependent conductivity&quot;]</code></pre><p>This is a dictionary with pre-defined laws:</p><ul><li>&quot;UpperCrust&quot;</li><li>&quot;LowerCrust&quot;</li><li>&quot;OceanicCrust&quot;</li><li>&quot;Mantle&quot;</li></ul><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; k=Set_TP_Conductivity[&quot;Mantle&quot;]
+T/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Energy/Conductivity.jl#L350-L365">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">k = compute_conductivity(P, T, s:&lt;AbstractConductivity)</code></pre><p>Returns the thermal conductivity <code>k</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the parameterizations implemented.</p><p>Currently available:</p><ul><li>ConstantConductivity</li><li>T_Conductivity_Whittington</li><li>TP_Conductivity</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia hljs">julia&gt; T  = (250:100:1250)*K;
+julia&gt; cp = T_HeatCapacity_Whittington()
+julia&gt; Cp = ComputeHeatCapacity(0,T,cp)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Energy/Conductivity.jl#L497-L516">source</a></section><section><div><pre><code class="nohighlight hljs">compute_conductivity!(K::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},Temp::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of conductivity <code>K</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>Temp</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p>_________________________________________________________________________________________________________</p><p>compute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</p><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Energy/Conductivity.jl#L538-L550">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity!" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_conductivity(k_array::AbstractArray{&lt;:AbstractFloat,N},P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, s::ConstantConductivity) where N</code></pre><p>In-place routine to compute constant conductivity</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Energy/Conductivity.jl#L64-L68">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../heatcapacity/">« Heat Capacity</a><a class="docs-footer-nextpage" href="../latentheat/">Latent heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 11 December 2023 13:29">Monday 11 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Contributing"><a class="docs-heading-anchor" href="#Contributing">Contributing</a><a id="Contributing-1"></a><a class="docs-heading-anchor-permalink" href="#Contributing" title="Permalink"></a></h1><p>This page details the some of the guidelines that should be followed when contributing to this package.</p><p>You can contribute for example by adding new creep laws or by adding new constitutive relationships. If you invest a bit of time now, it will save others in the community a lot of time! The simplest way to do this is by cloning the repository, and creating a new branch for your feature. Once you are happy with what you added (and after you added a test to ensure that it will keep working with future changes), create a pull request and we will evaluate &amp; merge it.</p><h2 id="Style-Guide"><a class="docs-heading-anchor" href="#Style-Guide">Style Guide</a><a id="Style-Guide-1"></a><a class="docs-heading-anchor-permalink" href="#Style-Guide" title="Permalink"></a></h2><p>Follow the style of the surrounding text when making changes. When adding new features please try to stick to the following points whenever applicable.</p><h3 id="Julia"><a class="docs-heading-anchor" href="#Julia">Julia</a><a id="Julia-1"></a><a class="docs-heading-anchor-permalink" href="#Julia" title="Permalink"></a></h3><ul><li>4-space indentation;</li><li>modules spanning entire files should not be indented, but modules that have surrounding code should;</li><li>no blank lines at the start or end of files;</li><li>do not manually align syntax such as <code>=</code> or <code>::</code> over adjacent lines;</li><li>use <code>function ... end</code> when a method definition contains more than one toplevel expression;</li><li>related short-form method definitions don&#39;t need a new line between them;</li><li>unrelated or long-form method definitions must have a blank line separating each one;</li><li>surround all binary operators with whitespace except for <code>::</code>, <code>^</code>, and <code>:</code>;</li><li>files containing a single <code>module ... end</code> must be named after the module;</li><li>method arguments should be ordered based on the amount of usage within the method body;</li><li>methods extended from other modules must follow their inherited argument order, not the above rule;</li><li>explicit <code>return</code> should be preferred except in short-form method definitions;</li><li>avoid dense expressions where possible e.g. prefer nested <code>if</code>s over complex nested <code>?</code>s;</li><li>include a trailing <code>,</code> in vectors, tuples, or method calls that span several lines;</li><li>do not use multiline comments (<code>#=</code> and <code>=#</code>);</li><li>wrap long lines as near to 92 characters as possible, this includes docstrings;</li><li>follow the standard naming conventions used in <code>Base</code>.</li></ul><h3 id="Markdown"><a class="docs-heading-anchor" href="#Markdown">Markdown</a><a id="Markdown-1"></a><a class="docs-heading-anchor-permalink" href="#Markdown" title="Permalink"></a></h3><ul><li>Use unbalanced <code>#</code> headers, i.e. no <code>#</code> on the right hand side of the header text;</li><li>include a single blank line between toplevel blocks;</li><li>unordered lists must use <code>*</code> bullets with two preceding spaces;</li><li>do <em>not</em> hard wrap lines;</li><li>use emphasis (<code>*</code>) and bold (<code>**</code>) sparingly;</li><li>always use fenced code blocks instead of indented blocks;</li><li>follow the conventions outlined in the Julia documentation page on documentation.</li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../listfunctions/">« List of functions</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 11 December 2023 13:29">Monday 11 December 2023</span>. 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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Creep laws · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Creep laws</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Creep laws</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/creeplaws.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="CreepLaws"><a class="docs-heading-anchor" href="#CreepLaws">CreepLaws</a><a id="CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#CreepLaws" title="Permalink"></a></h1><h1 id="Implemented-creep-laws"><a class="docs-heading-anchor" href="#Implemented-creep-laws">Implemented creep laws</a><a id="Implemented-creep-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-creep-laws" title="Permalink"></a></h1><p>The following viscous creep laws are implemented:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">LinearViscous(η=1e20Pa*s)</code></pre><p>Defines a linear viscous creeplaw </p><p>The (isotopic) linear viscous rheology is given by  </p><p class="math-container">\[    \tau_{ij} = 2 \eta \dot{\varepsilon}_{ij} \]</p><p>or</p><p class="math-container">\[    \dot{\varepsilon}_{ij}  = {\tau_{ij}  \over 2 \eta }\]</p><p>where <span>$\eta_0$</span> is the reference viscosity [Pa*s] at reference strain rate <span>$\dot{\varepsilon}_0$</span>[1/s], and <span>$n$</span> the power law exponent []. </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/CreepLaw/CreepLaw.jl#L74-L89">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)</code></pre><p>Defines a power law viscous creeplaw as: </p><p class="math-container">\[    \tau_{ij}^n  = 2 \eta_0 \left( \dot{\varepsilon}_{ij} \over \dot{\varepsilon}_0 \right)\]</p><p>where <span>$\eta$</span> is the effective viscosity [Pa*s].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/CreepLaw/CreepLaw.jl#L286-L295">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DislocationCreep(n = 1.0NoUnits, r = 0.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )</code></pre><p>Defines the flow law parameter of a dislocation creep law.</p><p>The (isotropic) dislocation creep law, as used by experimentalists, is given by  </p><p class="math-container">\[     \dot{\gamma} = A \sigma_\mathrm{d}^n f_\mathrm{H2O}^r \exp\left(-\frac{E+PV}{RT}\right)\]</p><p>where </p><ul><li><span>$n$</span> is the power law exponent  </li><li><span>$r$</span> is the exponent of fugacity dependence </li><li><span>$A$</span> is a pre-exponential factor <span>$[\mathrm{MPa}^{-n}s^{-1}]$</span> (if manually defined, <span>$n$</span> and <span>$r$</span> must be either pre-defined or substituted) </li><li><span>$E$</span> is the activation energy <span>$\mathrm{[kJ/mol]}$</span> </li><li><span>$V$</span> is the activation volume <span>$\mathrm{[m^3/mol]}$</span> </li><li><span>$\dot{\gamma}$</span> is the strain rate <span>$\mathrm{[1/s]}$</span> </li><li><span>$\sigma_\mathrm{d}$</span> is the differential stress <span>$\mathrm{[MPa]}$</span> which are converted into second invariants using the <code>Apparatus</code> variable that can be</li></ul><p>either <code>AxialCompression</code>, <code>SimpleShear</code> or <code>Invariant</code>. If the flow law parameters are already given as a function of second invariants, choose <code>Apparatus=Invariant</code>.</p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; x2 = DislocationCreep(n=3)
+DislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/CreepLaw/DislocationCreep.jl#L19-L43">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetDislocationCreep[&quot;Name of Dislocation Creep&quot;]</code></pre><p>Sets predefined dislocation creep data from a dictionary</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/CreepLaw/Data/DislocationCreep.jl#L3-L8">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DiffusionCreep(r = 0NoUnits, p = A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )</code></pre><p>Defines the flow law parameter of a dislocation creep law.</p><p>The (isotropic) diffusion creep law, as used by experimentalists, is given by  </p><p class="math-container">\[     \dot{\gamma} = A \sigma_\mathrm{d} d^{\mathrm{p}} f_\mathrm{H2O}^r \exp\left(-\frac{E+PV}{RT}\right)\]</p><p>where </p><ul><li><span>$r$</span> is the exponent of fugacity dependence </li><li><span>$p$</span> is the exponent of grain size</li><li><span>$A$</span> is a pre-exponential factor <span>$[\mathrm{MPa}^{-n}s^{-1}]$</span> (if manually defined, <span>$n$</span> and <span>$r$</span> must be either pre-defined or substituted) </li><li><span>$E$</span> is the activation energy <span>$\mathrm{[kJ/mol]}$</span> </li><li><span>$V$</span> is the activation volume <span>$\mathrm{[m^3/mol]}$</span> </li><li><span>$\dot{\gamma}$</span> is the strain rate <span>$\mathrm{[1/s]}$</span> </li><li><span>$\sigma_\mathrm{d}$</span> is the differential stress <span>$\mathrm{[MPa]}$</span></li></ul><p>The experimental parameters are converted into second invariants using the <code>Apparatus</code> variable that can be either <code>AxialCompression</code>, <code>SimpleShear</code> or <code>Invariant</code>. If the flow law parameters are already given as a function of second invariants, choose <code>Apparatus=Invariant</code>.</p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; x2 = DiffusionCreep(Name=&quot;test&quot;)
+DiffusionCreep: Name = test, n=1.0, r=0.0, p=-3.0, A=1.5 m³·⁰ MPa⁻¹·⁰ s⁻¹·⁰, E=500.0 kJ mol⁻¹·⁰, V=2.4e-5 m³·⁰ mol⁻¹·⁰, FT=1.7320508075688772, FE=1.1547005383792517)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/CreepLaw/DiffusionCreep.jl#L24-L50">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetDiffusionCreep[&quot;Name of Diffusion Creep&quot;]</code></pre><p>This is a dictionary with pre-defined creep laws    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/CreepLaw/Data/DiffusionCreep.jl#L4-L7">source</a></section></article><h1 id="Computational-routines-for-creep-laws"><a class="docs-heading-anchor" href="#Computational-routines-for-creep-laws">Computational routines for creep laws</a><a id="Computational-routines-for-creep-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines-for-creep-laws" title="Permalink"></a></h1><p>Once a creep rheology is defined, we can use the following routines to perform computations within the solvers</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>CreepLawVariables</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_εII(a::DiffusionCreep, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)</code></pre><p>Returns diffusion creep strainrate as a function of 2nd invariant of the stress tensor <span>$\tau_{II}$</span> </p><p class="math-container">\[    \dot{ε}_{II} = A τ_{II}^n d^{p} f_{H_2O}^r \exp \left(- {{E + PV} \over RT} \right)\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/CreepLaw/DiffusionCreep.jl#L168-L177">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(a::GrainBoundarySliding, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)</code></pre><p>Returns grain boundary sliding strainrate as a function of 2nd invariant of the stress tensor <span>$\tau_{II}$</span> </p><p class="math-container">\[    \dot{ε}_{II} = A τ_{II}^n d^{p} \exp \left(- {{E + PV} \over RT} \right)  #ÄNDERN!!!!!!!!\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/CreepLaw/GrainBoundarySliding.jl#L160-L169">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(s::ConstantElasticity{_T}, τII; τII_old, dt)</code></pre><p>Computes elastic strainrate given the deviatoric stress at the current (<code>τII</code>) and old timestep (<code>τII_old</code>), for a timestep <code>dt</code>:</p><p class="math-container">\[    \dot{\varepsilon}^{el} = {1 \over 2 G} {D \tau_{II} \over Dt } ≈ {1 \over 2 G} {\tau_{II}- \tilde{\tau}_{II}^{old} \over dt }\]</p><p>Note that we here solve the scalar equation, which is sufficient for isotropic cases. In tensor form, it would be</p><p class="math-container">\[    {\dot{\varepsilon}^{el}}_{ij} = {1 \over 2 G} { \tau_{ij} - \tilde{{\tau_{ij}}}^{old} \over dt }\]</p><p>here <span>$\tilde{{\tau_{ij}}}^{old}$</span> is the rotated old deviatoric stress tensor to ensure objectivity (this can be done with Jaumann derivative, or also by using the full rotational formula).</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Elasticity/Elasticity.jl#L107-L121">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(p::DruckerPrager{_T,U,U1}, λdot::_T, τII::_T,  P)</code></pre><p>This computes plastic strain rate invariant for a given <span>$λdot$</span></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Plasticity/DruckerPrager.jl#L126-L130">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(p::DruckerPrager_regularised{_T,U,U1}, λdot::_T, τII::_T,  P)</code></pre><p>This computes plastic strain rate invariant for a given <span>$λdot$</span></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Plasticity/DruckerPrager_regularised.jl#L129-L133">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::Parallel{T,N}, τII, args; tol=1e-6, verbose=false, n=1)</code></pre><p>Computing <code>εII</code> as a function of <code>τII</code> for a Parallel elements is (usually) a nonlinear problem</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/CompositeRheologies/Parallel.jl#L49-L53">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::CompositeRheology{T,N}, τII, args; tol=1e-6, verbose=false, n=1)</code></pre><p>Computing <code>εII</code> as a function of <code>τII</code> for a composite element is the sum of the individual contributions</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/CompositeRheologies/CompositeRheology.jl#L76-L80">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::AbstractPlasticity, τII::_T, args; tol=1e-6, verbose=true)</code></pre><p>Performs local iterations to compute the plastic strainrate. Note that the non-plastic strainrate, ε_np, should be part of <code>args</code></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/CompositeRheologies/NonlinearIterations.jl#L127-L131">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)</code></pre><p>Computes strainrate as a function of stress</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/CreepLaw/DiffusionCreep.jl#L204-L208">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)</code></pre><p>Computes strainrate as a function of stress</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/CreepLaw/GrainBoundarySliding.jl#L197-L201">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, s::LinearViscous, TauII::AbstractArray{_T,N})</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/CreepLaw/CreepLaw.jl#L107-L110">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, s::ArrheniusType, TauII::AbstractArray{_T,N})</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/CreepLaw/CreepLaw.jl#L219-L222">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(ε_el::AbstractArray{_T,N}, s::ConstantElasticity{_T}; τII::AbstractArray{_T,N}, τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)</code></pre><p>In-place computation of the elastic shear strainrate for given deviatoric stress invariants at the previous (<code>τII_old</code>) and new (<code>τII</code>) timestep, as well as the timestep <code>dt</code>  </p><p class="math-container">\[    \dot{\varepsilon}^{el} = {1 \over 2 G} {D \tau_{II} \over Dt } ≈ {1 \over 2 G} {\tau_{II}- \tau_{II}^{old} \over dt }\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Elasticity/Elasticity.jl#L151-L160">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_τII(a::DislocationCreep, EpsII; P, T, f, args...)</code></pre><p>Computes the stress for a Dislocation creep law given a certain strain rate</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/CreepLaw/DislocationCreep.jl#L217-L222">source</a></section><section><div><pre><code class="nohighlight hljs">computeCreepLaw_TauII(EpsII::_T, a::DiffusionCreep; T::_T, P=zero(_T), f=one(_T), d=one(_T), kwargs...)</code></pre><p>Returns diffusion creep stress as a function of 2nd invariant of the strain rate </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/CreepLaw/DiffusionCreep.jl#L261-L265">source</a></section><section><div><pre><code class="nohighlight hljs">computeCreepLaw_TauII(EpsII::_T, a::GrainBoundarySliding; T::_T, P=zero(_T), d=one(_T), kwargs...)</code></pre><p>Returns grain boundary sliding stress as a function of 2nd invariant of the strain rate </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/CreepLaw/GrainBoundarySliding.jl#L243-L247">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(a::PeierlsCreep, EpsII; P, T, f, args...)</code></pre><p>Computes the stress for a peierls creep law given a certain strain rate.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/CreepLaw/PeierlsCreep.jl#L189-L194">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(s::LinearViscous, EpsII; kwargs...)</code></pre><p>Returns second invariant of the stress tensor given a 2nd invariant of strain rate tensor </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/CreepLaw/CreepLaw.jl#L133-L137">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(s::ArrheniusType, EpsII; kwargs...)</code></pre><p>Returns second invariant of the stress tensor given a 2nd invariant of strain rate tensor </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/CreepLaw/CreepLaw.jl#L243-L247">source</a></section><section><div><pre><code class="nohighlight hljs">τII = compute_τII(v::CompositeRheology{T,N}, εII, args; tol=1e-6, verbose=false)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/CompositeRheologies/CompositeRheology.jl#L208-L211">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_τII!(TauII::AbstractArray{_T,N}, a::DislocationCreep, EpsII::AbstractArray{_T,N}; 
+    P =       zero(TauII)::AbstractArray{_T,N}, 
+    T = ones(size(TauII))::AbstractArray{_T,N}, 
+    f = ones(size(TauII))::AbstractArray{_T,N})</code></pre><p>Computes the deviatoric stress invariant for a dislocation creep law</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/CreepLaw/DislocationCreep.jl#L255-L262">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII!(TauII::AbstractArray{_T,N}, a::PeierlsCreep, EpsII::AbstractArray{_T,N}; 
+    T = ones(size(TauII))::AbstractArray{_T,N}, args...)</code></pre><p>Computes the deviatoric stress invariant for a peierls creep law.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/CreepLaw/PeierlsCreep.jl#L222-L228">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII!(τII::AbstractArray{_T,N}, s::ConstantElasticity{_T}. ε_el::AbstractArray{_T,N}; τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)</code></pre><p>In-place update of the elastic stress for given deviatoric strainrate invariants and stres invariant at the old (<code>τII_old</code>) timestep, as well as the timestep <code>dt</code>  </p><p class="math-container">\[    \tau_{II} = 2 G dt \dot{\varepsilon}^{el} + \tau_{II}^{old}\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Elasticity/Elasticity.jl#L175-L184">source</a></section></article><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.CorrectionFactor</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.RemoveTensorCorrection</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../density/">« Density</a><a class="docs-footer-nextpage" href="../customrheology/">Custom rheology »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 11 December 2023 13:29">Monday 11 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Custom rheology · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Custom rheology</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Custom rheology</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/customrheology.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="User-defined-rheology"><a class="docs-heading-anchor" href="#User-defined-rheology"><code>User-defined rheology</code></a><a id="User-defined-rheology-1"></a><a class="docs-heading-anchor-permalink" href="#User-defined-rheology" title="Permalink"></a></h1><p><code>CustomRheology</code> allows the user to interface with <code>GeoParams.jl</code> API for rheology calculations: </p><pre><code class="language-julia hljs">struct CustomRheology{F1, F2, T} &lt;: AbstractCreepLaw
+    strain::F1
+    stress::F2
+    args::T
+end</code></pre><p>where <code>strain</code> and <code>stress</code> are functions that compute the strain rate and deviatoric stress tensors, respectively, and <code>args</code> is a <code>NamedTuple</code> containing any constant (i.e. <strong>immutable</strong>) physical parameters needed by our <code>CustomRheology</code>. </p><h2 id="Example:-Arrhenious-type-rheology"><a class="docs-heading-anchor" href="#Example:-Arrhenious-type-rheology">Example: Arrhenious-type rheology</a><a id="Example:-Arrhenious-type-rheology-1"></a><a class="docs-heading-anchor-permalink" href="#Example:-Arrhenious-type-rheology" title="Permalink"></a></h2><p>The deviatoric stress <span>$\tau_{ij}$</span> and strain rate tensors <span>$\dot{\varepsilon}_{ij}$</span> are simply     <span>$\tau_{ij} = 2 \eta \dot{\varepsilon}_{ij} \qquad \dot{\varepsilon}_{ij}  = {\tau_{ij}  \over 2 \eta}$</span></p><p>and the viscosity <span>$\eta$</span> is temperature-dependant     <span>$\eta = \eta_{0} * \exp\left(\frac{E}{T+T_{o}}-\frac{E}{T_{\eta}+T_{o}}\right)$</span></p><p>where <span>$\eta_0$</span> and <span>$T_{\eta}$</span> are the respective reference viscosity and temperature, <span>$T_o$</span> is the offset temperature, <span>$T$</span> is the local temperature, and <span>$E$</span> is activation energy. </p><p>Before defining the functions to compute <span>$\tau$</span> and <span>$\dot{\varepsilon}$</span>, it is convenient to define a helper function to compute the viscosity:</p><pre><code class="language-julia hljs">@inline function custom_viscosity(
+    a::CustomRheology; T = 0.0, kwargs...
+)
+    (; η0, E, To, Tη) = a.args
+    η = η0 * exp(E / (T + To) - E / (Tη + To))
+    return  η
+end</code></pre><p>Then we just need to define two simple functions to compue the second invariants of <span>$\tau_{ij}$</span> and <span>$\dot{\varepsilon}_{ij}$</span>:</p><pre><code class="language-julia hljs"># function to compute deviatoric stress
+@inline function custom_τII(
+    a::CustomRheology, EpsII; kwargs...
+)
+    η = custom_viscosity(a; kwargs...)
+    return 2.0 * (η * EpsII)
+end
+
+# function to compute strain rate
+@inline function custom_εII(
+    a::CustomRheology, TauII; kwargs...
+)
+    η = custom_viscosity(a; kwargs...)
+    return (TauII / η) * 0.5
+end</code></pre><p>Note that the key word argument <code>kwargs...</code> is needed in all the above functions for compatibility with <code>GeoParams.jl</code>. </p><p>Finally, we need a <code>NamedTuple</code> containing the physical parameters needed by <code>custom_τII</code> and <code>custom_εII</code>:</p><pre><code class="language-julia hljs"># constant parameters, these are typically wrapped into a struct (compulsory)
+parameters = (;
+    η0 = 1.0,
+    E = 23.03,
+    To = 1.0,
+    Tη = 1.0,
+)</code></pre><p>Then the <code>CustomRheology</code> object is created</p><pre><code class="language-julia hljs">a = CustomRheology(custom_εII, custom_τII, parameters)</code></pre><p>Now we can use our new rheology object with <code>GeoParams.jl</code> methods:</p><pre><code class="language-julia-repl hljs">julia&gt; args = (; T=0.5)
+(T = 0.5,)
+
+julia&gt; τII, εII = 1.5,  0.5
+(1.5, 0.5)
+
+julia&gt; ε = compute_εII(v, τII, args)
+0.016147090412110487
+
+julia&gt; τ = compute_τII(v, εII, args)
+46.44799656521971
+
+julia&gt; dεdτ = dεII_dτII(v, τII, args)
+0.010764726941406991
+
+julia&gt; dτdε = dτII_dεII(v, εII, args)
+92.89599313043942</code></pre><p>And also works for composite rheologies:</p><pre><code class="language-julia-repl hljs">julia&gt; el = ConstantElasticity(; G=1.0)
+Linear elasticity with shear modulus: G = 1.0, Poisson&#39;s ratio: ν = 0.5, bulk modulus: Kb = Inf and Young&#39;s module: E=NaN
+
+julia&gt; c = CompositeRheology(v, el)
+--?????----/\/\/--
+
+julia&gt; args = (; dt=Inf, T=0.5)
+(dt = Inf, T = 0.5)
+
+julia&gt; ε = compute_εII(c, τII, args)
+0.016147090412110487
+
+julia&gt; τ = compute_τII(c, εII, args)
+46.44799656521971</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../creeplaws/">« Creep laws</a><a class="docs-footer-nextpage" href="../viscosity/">Viscosity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 11 December 2023 13:29">Monday 11 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.2/man/density/index.html b/v0.5.2/man/density/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Density · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li class="is-active"><a class="tocitem" href>Density</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" 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href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Density</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Density</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/density.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Density"><a class="docs-heading-anchor" href="#Density">Density</a><a id="Density-1"></a><a class="docs-heading-anchor-permalink" href="#Density" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>The density equation of state can be specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.ConstantDensity" href="#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantDensity(ρ=2900kg/m^3)</code></pre><p>Set a constant density:</p><p class="math-container">\[    \rho  = cst\]</p><p>where <span>$\rho$</span> is the density [<span>$kg/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Density/Density.jl#L39-L47">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.PT_Density" href="#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)</code></pre><p>Set a pressure and temperature-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 (1.0 - \alpha (T-T_0) + \beta  (P-P_0) )  \]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference temperature <span>$T_0$</span> and pressure <span>$P_0$</span>, <span>$\alpha$</span> is the temperature dependence of density and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Density/Density.jl#L81-L90">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.Compressible_Density" href="#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)</code></pre><p>Set a pressure-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 \exp(β*(P - P\_0))  \]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference pressure <span>$P_0$</span> and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Density/Density.jl#L134-L142">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To evaluate density within a user routine, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density" href="#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_density(P,T, s::PhaseDiagram_LookupTable)</code></pre><p>Interpolates density as a function of <code>T,P</code> from a lookup table  </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Density/Density.jl#L182-L185">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density!" href="#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I&lt;:Integer}</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; MatParam = (SetMaterialParams(Name=&quot;Mantle&quot;, Phase=1,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                        Density   = PT_Density()
+                        ),
+                    SetMaterialParams(Name=&quot;Crust&quot;, Phase=2,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),
+                        Density   = ConstantDensity(ρ=2900kg/m^3))
+                  );
+julia&gt; Phases = ones(Int64,400,400);
+julia&gt; Phases[:,20:end] .= 2
+julia&gt; rho     = zeros(size(Phases))
+julia&gt; T       =  ones(size(Phases))
+julia&gt; P       =  ones(size(Phases))*10
+julia&gt; args = (P=P, T=T)
+julia&gt; compute_density!(rho, MatParam, Phases, args)
+julia&gt; rho
+400×400 Matrix{Float64}:
+2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮                            
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0</code></pre><p>The routine is made to minimize allocations:</p><pre><code class="language-julia hljs">julia&gt; using BenchmarkTools
+julia&gt; @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)
+    203.468 μs (0 allocations: 0 bytes)</code></pre><p>_____________________________________________________________________________________________________________________________   </p><pre><code class="nohighlight hljs">compute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Density/Density.jl#L205-L270">source</a></section></article><p>Note that density values are usually not used in itself in the governing PDE&#39;s, but usually in combination with other parameters, such as <span>$\rho g$</span> or <span>$\rho c_p$</span>. the non-dimensional value of <span>$\rho$</span> may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../materialparameters/">« Material Parameters</a><a class="docs-footer-nextpage" href="../creeplaws/">Creep laws »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 11 December 2023 13:29">Monday 11 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.2/man/elasticity/index.html b/v0.5.2/man/elasticity/index.html
new file mode 100644
index 000000000..7e3e69e69
--- /dev/null
+++ b/v0.5.2/man/elasticity/index.html
@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Elasticity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li class="is-active"><a class="tocitem" href>Elasticity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Implemented-laws"><span>Implemented laws</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Elasticity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Elasticity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/elasticity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Elasticity"><a class="docs-heading-anchor" href="#Elasticity">Elasticity</a><a id="Elasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Elasticity" title="Permalink"></a></h1><p>Elasticity is, in geodynamics, often used in combination with viscous and plastic rheology.</p><h1 id="Implemented-laws"><a class="docs-heading-anchor" href="#Implemented-laws">Implemented laws</a><a id="Implemented-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-laws" title="Permalink"></a></h1><p>We provide the following elastic constitutive relationships:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantElasticity(G, ν, K, E)</code></pre><p>Structure that holds parameters for constant, isotropic, linear elasticity.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Elasticity/Elasticity.jl#L30-L34">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetConstantElasticity(; G=nothing, ν=nothing, E=nothing, Kb=nothing)</code></pre><p>This allows setting elastic parameters by specifying 2 out of the 4 elastic parameters <code>G</code> (Elastic shear modulus), <code>ν</code> (Poisson&#39;s ratio), <code>E</code> (Young&#39;s modulus), or <code>Kb</code> (bulk modulus).</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Elasticity/Elasticity.jl#L46-L50">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>We can compute the elastic strainrate with:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_εII</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_εII!</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../viscosity/">« Viscosity</a><a class="docs-footer-nextpage" href="../plasticity/">Plasticity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 11 December 2023 13:29">Monday 11 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.2/man/geounit/index.html b/v0.5.2/man/geounit/index.html
new file mode 100644
index 000000000..e398a45a1
--- /dev/null
+++ b/v0.5.2/man/geounit/index.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>GeoUnit · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li class="is-active"><a class="tocitem" href>GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>GeoUnit</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>GeoUnit</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/geounit.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="GeoUnit"><a class="docs-heading-anchor" href="#GeoUnit"><code>GeoUnit</code></a><a id="GeoUnit-1"></a><a class="docs-heading-anchor-permalink" href="#GeoUnit" title="Permalink"></a></h1><p>Most parameters have physical units (100km, 9.81 ms⁻²). Yet, within numerical solvers it is usually not a good idea to compute with the actual SI units as they (at least in geosciences) tend to result in very large/small numbers, which can cause in roundoff errors.  Therefore, we usually convert the dimensional units into non-dimensional ones befeore starting computations. The results can than be converted back to more convenient units for us when we generate the output (plots, for example).</p><p>This requires a way to store the dimensions of a parameter, but also, once they are made nondimensional, the original units (otherwise we can&#39;t convert them back to dimensional values).</p><p>For that reason, we use the <code>GeoUnit</code> structure, defined as </p><pre><code class="language-julia hljs">struct GeoUnit{T,U}
+    val          :: T
+    unit         :: U
+    isdimensional:: Bool
+end</code></pre><p>You can define a GeoUnit as:</p><pre><code class="language-julia hljs">julia&gt; a = GeoUnit(100km)
+GeoUnit{dimensional, km}, 
+100.0
+julia&gt; b=GeoUnit(100s)
+GeoUnit{dimensional, s}, 
+100.0</code></pre><p>Dividing the two gives the expected result</p><pre><code class="language-julia hljs">julia&gt; c=a/b
+GeoUnit{dimensional, km s⁻¹·⁰}, 
+1.0</code></pre><p>Can also be a vector:</p><pre><code class="language-julia hljs">julia&gt; T = GeoUnit(100K:10.0K:1000K)
+GeoUnit{dimensional, K}, 
+100.0:10.0:1000.0</code></pre><p>The numerical value is obtained with:</p><pre><code class="language-julia hljs">julia&gt; NumValue(c)
+1.0</code></pre><p>It&#39;s unit with</p><pre><code class="language-julia hljs">julia&gt; Unit(c)
+km s⁻¹·⁰</code></pre><p>and the value with unit with</p><pre><code class="language-julia hljs">julia&gt; Value(c)
+1.0 km s⁻¹·⁰</code></pre><p>If you multiply or divide a <code>GeoUnit</code> with a normal number, we assume that you are no longer interested in the units and you&#39;ll get a Float64:</p><pre><code class="language-julia hljs">julia&gt; c*100
+100.0</code></pre><p>The value of the <code>GeoUnit</code> struct becomes clear once we non-dimensionalize it (as explained in more detail in a separate page). For that, first specify which characteristic values you want to use for non-dimensionalisation: </p><pre><code class="language-julia hljs">julia&gt; CharDim = GEO_units(length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas);</code></pre><p>Let&#39;s define a stress:</p><pre><code class="language-julia hljs">julia&gt; σ=GeoUnit(10MPa)
+GeoUnit{dimensional, MPa}, 
+10.0</code></pre><p>And transfer it to nondimensional units:</p><pre><code class="language-julia hljs">julia&gt; σ_nd = nondimensionalize(σ,CharDim)
+GeoUnit{nondimensional, MPa}, 
+0.9999999999999998</code></pre><p>Instead of 1e7 Pa, we now have 1.0; yet at the same time we know that the original unit of σ_nd was in MPa, which allows to transfer it back to dimensional units:</p><pre><code class="language-julia hljs">julia&gt; dimensionalize(σ_nd,CharDim)
+GeoUnit{dimensional, MPa}, 
+10.0</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../">« Home</a><a class="docs-footer-nextpage" href="../nondimensionalize/">Nondimensionalization »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 11 December 2023 13:29">Monday 11 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.2/man/gravity/index.html b/v0.5.2/man/gravity/index.html
new file mode 100644
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Gravity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li class="is-active"><a class="tocitem" href>Gravity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Gravity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Gravity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/gravity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Gravitational-acceleration"><a class="docs-heading-anchor" href="#Gravitational-acceleration">Gravitational acceleration</a><a id="Gravitational-acceleration-1"></a><a class="docs-heading-anchor-permalink" href="#Gravitational-acceleration" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Gravitational acceleration is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">GravityConstant(g=9.81m/s^2)</code></pre><p>Set a constant value for the gravitational acceleration:</p><p class="math-container">\[    g  = 9.81 m s^{-2}\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/GravitationalAcceleration/GravitationalAcceleration.jl#L18-L25">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a> — <span class="docstring-category">Function</span></header><section><div><p>compute_gravity(s:&lt;AbstractGravity)</p><p>Returns the gravitational acceleration </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/GravitationalAcceleration/GravitationalAcceleration.jl#L61-L66">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../shearheating/">« Shear heating</a><a class="docs-footer-nextpage" href="../melting/">Partial Melting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 11 December 2023 13:29">Monday 11 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.2/man/heatcapacity/index.html b/v0.5.2/man/heatcapacity/index.html
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@@ -0,0 +1,16 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Heat Capacity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li class="is-active"><a class="tocitem" href>Heat Capacity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Heat Capacity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Heat Capacity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/heatcapacity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Heat-capacity"><a class="docs-heading-anchor" href="#Heat-capacity">Heat capacity</a><a id="Heat-capacity-1"></a><a class="docs-heading-anchor-permalink" href="#Heat-capacity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Heat capacity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity" href="#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantHeatCapacity(cp=1050J/mol/kg)</code></pre><p>Set a constant heat capacity:</p><p class="math-container">\[    cp  = cst\]</p><p>where <span>$cp$</span> is the thermal heat capacity [<span>$J/kg/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Energy/HeatCapacity.jl#L26-L34">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington" href="#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_HeatCapacity_Whittington()</code></pre><p>Sets a temperature-dependent heat capacity following the parameterization of Whittington et al. (2009), Nature:</p><p class="math-container">\[    Cp = (a + b T - c/T^2)/m \]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/kg/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <code>T</code>:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>molmass =   0.22178kg/mol </li></ul><p>Note that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than <span>$J/mol/K$</span> as in eq.3/4 of the paper)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Energy/HeatCapacity.jl#L59-L77">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">Cp = compute_heatcapacity(s:&lt;AbstractHeatCapacity, P, T)</code></pre><p>Returns the heat capacity <code>Cp</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the heat capacity laws implemented.</p><p>Currently available:</p><ul><li>ConstantHeatCapacity</li><li>T_HeatCapacity_Whittington</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia hljs">julia&gt; T  = (250:100:1250)*K;
+julia&gt; cp = T_HeatCapacity_Whittington()
+julia&gt; Cp = ComputeHeatCapacity(0,T,cp)
+11-element Vector{Unitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:
+  635.4269997294616 J kg⁻¹ K⁻¹
+  850.7470171764261 J kg⁻¹ K⁻¹
+  962.0959598489883 J kg⁻¹ K⁻¹
+ 1037.5420433770641 J kg⁻¹ K⁻¹
+ 1097.3517921966488 J kg⁻¹ K⁻¹
+ 1149.2745563671706 J kg⁻¹ K⁻¹
+ 1157.7915050948404 J kg⁻¹ K⁻¹
+ 1172.3554874197264 J kg⁻¹ K⁻¹
+ 1186.9194697445964 J kg⁻¹ K⁻¹
+  1201.483452069455 J kg⁻¹ K⁻¹
+ 1216.0474343943067 J kg⁻¹ K⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Energy/HeatCapacity.jl#L145-L175">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_heatcapacity!(Cp::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat})</code></pre><p>In-place computation of heat capacity <code>Cp</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Energy/HeatCapacity.jl#L197-L202">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plasticity/">« Plasticity</a><a class="docs-footer-nextpage" href="../conductivity/">Conductivity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 11 December 2023 13:29">Monday 11 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.2/man/latentheat/index.html b/v0.5.2/man/latentheat/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Latent heat · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li class="is-active"><a class="tocitem" href>Latent heat</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Latent heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Latent heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/latentheat.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Latent-heat"><a class="docs-heading-anchor" href="#Latent-heat">Latent heat</a><a id="Latent-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Latent-heat" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Latent heat (of crystallisation) is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat" href="#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantLatentHeat(Q_L=400kJ/kg)</code></pre><p>Set a constant latent heat:</p><p class="math-container">\[    Q_L  = cst\]</p><p>where <span>$Q_L$</span> is the latent heat [<span>$kJ/kg$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Energy/LatentHeat.jl#L22-L30">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.LatentHeat.compute_latent_heat</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../conductivity/">« Conductivity</a><a class="docs-footer-nextpage" href="../radioactiveheating/">Radioactive heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 11 December 2023 13:29">Monday 11 December 2023</span>. 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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>List of functions · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input 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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li class="is-active"><a class="tocitem" href>List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>List of functions</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>List of functions</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/listfunctions.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="List-of-all-functions"><a class="docs-heading-anchor" href="#List-of-all-functions">List of all functions</a><a id="List-of-all-functions-1"></a><a class="docs-heading-anchor-permalink" href="#List-of-all-functions" title="Permalink"></a></h1><p>This page details the some of the guidelines that should be followed when contributing to this package.</p><ul><li><a href="../nondimensionalize/#GeoParams.Units"><code>GeoParams.Units</code></a></li><li><a href="../strengthenvelope/#GeoParams.ConstTemp"><code>GeoParams.ConstTemp</code></a></li><li><a href="../strengthenvelope/#GeoParams.HalfspaceCoolTemp"><code>GeoParams.HalfspaceCoolTemp</code></a></li><li><a href="../strengthenvelope/#GeoParams.LinTemp"><code>GeoParams.LinTemp</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington</code></a></li><li><a href="../latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a></li><li><a href="../phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_4thOrder"><code>GeoParams.MeltingParam.MeltingParam_4thOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_5thOrder"><code>GeoParams.MeltingParam.MeltingParam_5thOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Assimilation"><code>GeoParams.MeltingParam.MeltingParam_Assimilation</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Quadratic"><code>GeoParams.MeltingParam.MeltingParam_Quadratic</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.SmoothMelting"><code>GeoParams.MeltingParam.SmoothMelting</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.TASclassificationData"><code>GeoParams.TASclassification.TASclassificationData</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.ZirconAgeData"><code>GeoParams.ZirconAges.ZirconAgeData</code></a></li><li><a href="../strengthenvelope/#GeoParams.CompTempStruct"><code>GeoParams.CompTempStruct</code></a></li><li><a href="../strengthenvelope/#GeoParams.LithPres"><code>GeoParams.LithPres</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_dϕdT"><code>GeoParams.MeltingParam.compute_dϕdT</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_dϕdT!"><code>GeoParams.MeltingParam.compute_dϕdT!</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a></li><li><a href="../phasediagrams/#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a></li><li><a href="../plotting/#GeoParams.PlotConductivity"><code>GeoParams.PlotConductivity</code></a></li><li><a href="../plotting/#GeoParams.PlotDeformationMap"><code>GeoParams.PlotDeformationMap</code></a></li><li><a href="../plotting/#GeoParams.PlotHeatCapacity"><code>GeoParams.PlotHeatCapacity</code></a></li><li><a href="../melting/#GeoParams.PlotMeltFraction"><code>GeoParams.PlotMeltFraction</code></a></li><li><a href="../plotting/#GeoParams.PlotPhaseDiagram"><code>GeoParams.PlotPhaseDiagram</code></a></li><li><a href="../strengthenvelope/#GeoParams.StrengthEnvelopeComp"><code>GeoParams.StrengthEnvelopeComp</code></a></li><li><a href="../strengthenvelope/#GeoParams.StrengthEnvelopePlot"><code>GeoParams.StrengthEnvelopePlot</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.computeTASclassification"><code>GeoParams.TASclassification.computeTASclassification</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.retrieveTASrockType"><code>GeoParams.TASclassification.retrieveTASrockType</code></a></li><li><a href="../tables/#GeoParams.Tables.Dict2LatexTable"><code>GeoParams.Tables.Dict2LatexTable</code></a></li><li><a href="../tables/#GeoParams.Tables.Dict2MarkdownTable"><code>GeoParams.Tables.Dict2MarkdownTable</code></a></li><li><a href="../tables/#GeoParams.Tables.ParameterTable"><code>GeoParams.Tables.ParameterTable</code></a></li><li><a href="../tables/#GeoParams.Tables.Phase2Dict"><code>GeoParams.Tables.Phase2Dict</code></a></li><li><a href="../tables/#GeoParams.Tables.Phase2DictMd"><code>GeoParams.Tables.Phase2DictMd</code></a></li><li><a href="../tables/#GeoParams.Tables.detachFloatfromExponent"><code>GeoParams.Tables.detachFloatfromExponent</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.compute_zircon_age_PDF"><code>GeoParams.ZirconAges.compute_zircon_age_PDF</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.compute_zircons_Ttpath"><code>GeoParams.ZirconAges.compute_zircons_Ttpath</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.zircon_age_PDF"><code>GeoParams.ZirconAges.zircon_age_PDF</code></a></li><li><a href="../viscosity/#GeoParams.compute_viscosity_εII"><code>GeoParams.compute_viscosity_εII</code></a></li><li><a href="../viscosity/#GeoParams.compute_viscosity_τII"><code>GeoParams.compute_viscosity_τII</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a></li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plotting/">« Plotting</a><a class="docs-footer-nextpage" href="../contributing/">Contributing »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 11 December 2023 13:29">Monday 11 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.2/man/materialparameters/index.html b/v0.5.2/man/materialparameters/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Material Parameters · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li class="is-active"><a class="tocitem" href>Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Material Parameters</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Material Parameters</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/materialparameters.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="MaterialParameters"><a class="docs-heading-anchor" href="#MaterialParameters">MaterialParameters</a><a id="MaterialParameters-1"></a><a class="docs-heading-anchor-permalink" href="#MaterialParameters" title="Permalink"></a></h1><p>Material properties for a given phase can be set with <code>SetMaterialParams</code>, whereas all properties are  stored in the <code>MaterialParams</code> structure. Information about the material parameter is found at <code>MaterialParamsInfo</code>. This can be employed </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParamsInfo" href="#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MaterialParamsInfo</code></pre><p>Structure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.</p><p>Usually used in combination with <code>param_info(the_parameter_of_interest)</code></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/MaterialParameters.jl#L25-L33">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SetMaterialParams" href="#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetMaterialParams(; Name::String=&quot;&quot;, Phase::Int64=1,
+                    Density             =   nothing, 
+                    Gravity             =   nothing,
+                    CreepLaws           =   nothing, 
+                    Elasticity          =   nothing, 
+                    Plasticity          =   nothing, 
+                    CompositeRheology   =   nothing,
+                    Conductivity        =   nothing, 
+                    HeatCapacity        =   nothing, 
+                    RadioactiveHeat     =   nothing,
+                    LatentHeat          =   nothing,
+                    ShearHeat           =   nothing,
+                    Melting             =   nothing,
+                    SeismicVelocity     =   nothing,
+                    CharDim::GeoUnits   =   nothing)</code></pre><p>Sets material parameters for a given phase. </p><p>If <code>CharDim</code> is specified the input parameters are non-dimensionalized.   Note that if <code>Density</code> is specified, we also set <code>Gravity</code> even if not explicitly listed</p><p><strong>Examples</strong></p><p>Define two viscous creep laws &amp; constant density:</p><pre><code class="language-julia-repl hljs">julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;,
+                       Density   = ConstantDensity(),
+                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))
+Phase 1 : Viscous Matrix
+        | [dimensional units]
+        | 
+        |-- Density           : Constant density: ρ=2900 kg m⁻³ 
+        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  
+        |                       Linear viscosity: η=1.0e21 Pa s</code></pre><p>Define two viscous creep laws &amp; P/T dependent density and nondimensionalize</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);
+julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;, Phase=33,
+                              Density   = PT_Density(),
+                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),
+                              CharDim   = CharUnits_GEO)
+Phase 33: Viscous Matrix
+        | [non-dimensional units]
+        | 
+        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0 
+        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18 
+        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001  
+        |                       Linear viscosity: η=10000.0 </code></pre><p>You can also create an array that holds several parameters:</p><pre><code class="language-julia-repl hljs">julia&gt; MatParam        =   Array{MaterialParams, 1}(undef, 2);
+julia&gt; Phase           =   1;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Upper Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                            Density  = ConstantDensity(ρ=2900kg/m^3));
+julia&gt; Phase           =   2;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Lower Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),
+                            Density  = PT_Density(ρ0=3000kg/m^3));
+julia&gt; MatParam
+2-element Vector{MaterialParams}:
+ Phase 1 : Upper Crust
+    | [dimensional units]
+    | 
+    |-- Density           : Constant density: ρ=2900 kg m⁻³ 
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  
+    |                       Linear viscosity: η=1.0e23 Pa s 
+                            
+ Phase 2 : Lower Crust
+    | [dimensional units]
+    | 
+    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa 
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹  
+    |                       Linear viscosity: η=1.0e21 Pa s </code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/MaterialParameters.jl#L99-L184">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParams" href="#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MaterialParams</code></pre><p>Structure that holds all material parameters for a given phase</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/MaterialParameters.jl#L59-L64">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../nondimensionalize/">« Nondimensionalization</a><a class="docs-footer-nextpage" href="../density/">Density »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 11 December 2023 13:29">Monday 11 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.2/man/melting/index.html b/v0.5.2/man/melting/index.html
new file mode 100644
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--- /dev/null
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Partial Melting · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li class="is-active"><a class="tocitem" href>Partial Melting</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Plotting-routines"><span>Plotting routines</span></a></li></ul></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Partial Melting</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Partial Melting</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/melting.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Melting-Parameterizations"><a class="docs-heading-anchor" href="#Melting-Parameterizations">Melting Parameterizations</a><a id="Melting-Parameterizations-1"></a><a class="docs-heading-anchor-permalink" href="#Melting-Parameterizations" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>A number of melting parameterisations are implemented, which can be set with:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Caricchi" href="#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Caricchi()</code></pre><p>Implements the T-dependent melting parameterisation used by Caricchi, Simpson et al. (as for example described in Simpson)</p><p class="math-container">\[    \theta = {(a - (T + c)) \over b}\]</p><p class="math-container">\[    \phi_{melt} = {1.0 \over (1.0 + e^\theta)}\]</p><p>Note that T is in Kelvin. As default parameters we employ:</p><p class="math-container">\[b=23K,  a=800K , c=273.15K\]</p><p>Which gives a reasonable fit to experimental data of granodioritic composition (Piwinskii and Wyllie, 1968):</p><p><img src="../assets/img/MeltingParam_Caricchi.png" alt="MeltParam_Carrichi"/></p><p><strong>References</strong></p><ul><li>Simpson G. (2017) Practical finite element modelling in Earth Sciences Using MATLAB.</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/MeltFraction/MeltingParameterization.jl#L33-L55">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_5thOrder" href="#GeoParams.MeltingParam.MeltingParam_5thOrder"><code>GeoParams.MeltingParam.MeltingParam_5thOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_5thOrder(a,b,c,d,e,f,T_s,T_l)</code></pre><p>Uses a 5th order polynomial to describe the melt fraction <code>phi</code> between solidus temperature <code>T_s</code> and liquidus temperature <code>T_l</code></p><p class="math-container">\[    \phi = a T^5 + b T^4 + c T^3 + d T^2 + e T + f  \textrm{   for   } T_s ≤ T ≤ T_l\]</p><p class="math-container">\[    \phi = 1  \textrm{   if   } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0  \textrm{   if   } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_5thorder.png" alt="MeltingParam_5thOrder"/></p><p>The default values are for a composite liquid-line-of-descent:</p><ul><li>the upper part is for Andesite from: (Blatter, D. L. &amp; Carmichael, I. S. (2001) Hydrous phase equilibria of a Mexican highsilica andesite: a candidate for a mantle origin? Geochim. Cosmochim. Acta 65, 4043–4065</li><li>the lower part is extrapolated to the granitic minimum using the Marxer &amp; Ulmer LLD for Andesite (Marxer, F. &amp; Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. <em>Contributions Mineral. Petrol.</em> 174, 84)</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/MeltFraction/MeltingParameterization.jl#L93-L114">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_4thOrder" href="#GeoParams.MeltingParam.MeltingParam_4thOrder"><code>GeoParams.MeltingParam.MeltingParam_4thOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_4thOrder(b,c,d,e,f,T_s,T_l)</code></pre><p>Uses a 4th order polynomial to describe the melt fraction <code>phi</code> between solidus temperature <code>T_s</code> and liquidus temperature <code>T_l</code></p><p class="math-container">\[    \phi = b T^4 + c T^3 + d T^2 + e T + f  \textrm{   for   } T_s ≤ T ≤ T_l\]</p><p class="math-container">\[    \phi = 1 \textrm{   if   } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0  \textrm{   if   } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_4thorder.png" alt="MeltingParam_4thOrder"/></p><p>The default values are for Tonalite experiments from Marxer and Ulmer (2019):</p><ul><li>Marxer, F. &amp; Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. <em>Contributions Mineral. Petrol.</em> 174, 84</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/MeltFraction/MeltingParameterization.jl#L176-L196">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Quadratic" href="#GeoParams.MeltingParam.MeltingParam_Quadratic"><code>GeoParams.MeltingParam.MeltingParam_Quadratic</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Quadratic(T_s,T_l)</code></pre><p>Quadratic melt fraction parameterisation where melt fraction <span>$\phi$</span> depends only on solidus (<span>$T_s$</span>) and liquidus (<span>$T_l$</span>) temperature:</p><p class="math-container">\[    \phi = 1.0 - \left( {T_l - T} \over {T_l - T_s} \right)^2\]</p><p class="math-container">\[    \phi = 1.0 \textrm{ if } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0.0 \textrm{ if } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_Quadratic.png" alt="MeltingParam_Quadratic"/></p><p>This was used, among others, in Tierney et al. (2016) Geology</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/MeltFraction/MeltingParameterization.jl#L261-L280">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Assimilation" href="#GeoParams.MeltingParam.MeltingParam_Assimilation"><code>GeoParams.MeltingParam.MeltingParam_Assimilation</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Assimilation(T_s,T_l,a)</code></pre><p>Melt fraction parameterisation that takes the assimilation of crustal host rocks into account, as used by Tierney et al. (2016) based upon a parameterisation of Spera and Bohrson (2001)</p><p>Here, the fraction of molten and assimilated host rocks <span>$\phi$</span> depends on the solidus (<span>$T_s$</span>) and liquidus (<span>$T_l$</span>) temperatures of the rocks, as well as on a parameter <span>$a=0.005$</span></p><p class="math-container">\[    X = \left( {T - T_s} \over {T_l - T_s} \right)\]</p><p class="math-container">\[    \phi = a \cdot \left( \exp^{2ln(100)X} - 1.0 \right) \textrm{ if } X ≤ 0.5\]</p><p class="math-container">\[    \phi = 1- a \cdot \exp^{2ln(100)(1-X)}  \textrm{ if } X &gt; 0.5\]</p><p class="math-container">\[    \phi = 1.0 \textrm{ if } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0.0 \textrm{ if } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_Assimilation.png" alt="MeltingParam_Assimilation"/></p><p>This was used, among others, in Tierney et al. (2016), who employed as default parameters:</p><p class="math-container">\[   T_s=973.15, T_l=1173.15, a=0.005\]</p><p><strong>References</strong></p><ul><li>Spera, F.J., and Bohrson, W.A., 2001, Energy-Constrained Open-System Magmatic Processes I: General Model and Energy-Constrained Assimilation and Fractional Crystallization (EC- AFC) Formulation: Journal of Petrology, v. 42, p. 999–1018.</li><li>Tierney, C.R., Schmitt, A.K., Lovera, O.M., de Silva, S.L., 2016. Voluminous plutonism during volcanic quiescence revealed by thermochemical modeling of zircon. Geology 44, 683–686. https://doi.org/10.1130/G37968.1</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/MeltFraction/MeltingParameterization.jl#L327-L362">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.SmoothMelting" href="#GeoParams.MeltingParam.SmoothMelting"><code>GeoParams.MeltingParam.SmoothMelting</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">SmoothMelting(; p=MeltingParam_4thOrder(), k_sol=0.2/K,  k_liq=0.2/K)</code></pre><p>This smoothens the melting parameterisation <span>$p$</span> around the solidus <span>$T_{sol}$</span> and liquidus <span>$T_{liq}$</span> using a smoothened Heaviside step functions for the solidus:</p><p class="math-container">\[    H_{sol} =  {1.0 \over { 1 + \exp( -2 k_{sol} (T - T_{sol} - {2 \over k_{sol}}) )  }}\]</p><p>and liquidus:</p><p class="math-container">\[    H_{liq} =  1.0 - {1.0 \over { 1 + \exp( -2 k_{liq} (T - T_{liq} + {2 \over k_{liq}}) )  }}\]</p><p>The resulting melt fraction <span>$\phi$</span> is computed from the original melt fraction <span>$\phi_0$</span> (computed using one of the methods above) as:</p><p class="math-container">\[    \phi =  \phi_0 H_{sol} H_{liq} + 1.0 - H_{liq}\]</p><p>The width of the smoothening zones is controlled by <span>$k_{sol}, k_{liq}$</span> (larger values = sharper boundary).</p><p>This is important, as jumps in the derivative <span>$dϕ/dT$</span> can cause numerical instabilities in latent heat computations, which is prevented with this smoothening.</p><p><strong>Example</strong></p><p>Let&#39;s consider a 4th order parameterisation:</p><pre><code class="language-julia hljs">julia&gt; using GLMakie, GeoParams
+julia&gt; p = MeltingParam_4thOrder();
+julia&gt; T= collect(650.0:1:1050.) .+ 273.15;
+julia&gt; T,phi,dϕdT =  PlotMeltFraction(p,T=T);</code></pre><p>The same but with smoothening:</p><pre><code class="language-julia hljs">julia&gt; p_s = SmoothMelting(p=MeltingParam_4thOrder(), k_liq=0.21/K);
+4th order polynomial melting curve: phi = -7.594512597174117e-10T^4 + 3.469192091489447e-6T^3 + -0.00592352980926T^2 + 4.482855645604745T + -1268.730161921053  963.15 K ≤ T ≤ 1270.15 K with smooth Heaviside function smoothening using k_sol=0.1 K⁻¹·⁰, k_liq=0.11 K⁻¹·⁰
+julia&gt; T_s,phi_s,dϕdT_s =  PlotMeltFraction(p_s,T=T);</code></pre><p>We can create plots of this with:</p><pre><code class="language-julia hljs">julia&gt; plt1 = plot(T.-273.15, phi, ylabel=&quot;Melt Fraction ϕ&quot;, color=:red, label=&quot;original&quot;, xlabel=&quot;Temperature [C]&quot;)
+julia&gt; plt1 = plot(plt1, T.-273.15, phi_s,  color=:black, label=&quot;smoothened&quot;, legend=:bottomright)
+julia&gt; plt2 = plot(T.-273.15, dϕdT, ylabel=&quot;dϕ/dT&quot;, color=:red, label=&quot;original&quot;, xlabel=&quot;Temperature [C]&quot;)
+julia&gt; plt2 = plot(plt2, T.-273.15, dϕdT_s,  color=:black, label=&quot;smoothened&quot;, legend=:topright)
+julia&gt; plot!(plt1,plt2,   xlabel=&quot;Temperature [C]&quot;, layout=(2,1))</code></pre><p>The derivative no longer has a jump now:</p><p><img src="../assets/img/MeltingParam_Smooth.png" alt="MeltingParam_Smooth"/></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/MeltFraction/MeltingParameterization.jl#L437-L488">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute the melt fraction at given <code>T</code> and <code>P</code>, use:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction!" href="#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_meltfraction!(ϕ::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T:AbstractArray{&lt;:AbstractFloat}, p::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/MeltFraction/MeltingParameterization.jl#L571-L575">source</a></section><section><div><pre><code class="nohighlight hljs">compute_meltfraction(ϕ::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/MeltFraction/MeltingParameterization.jl#L658-L662">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction" href="#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_meltfraction(P,T, p::AbstractPhaseDiagramsStruct)</code></pre><p>Computes melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/MeltFraction/MeltingParameterization.jl#L559-L563">source</a></section><section><div><pre><code class="nohighlight hljs">ϕ = compute_meltfraction(Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/MeltFraction/MeltingParameterization.jl#L651-L655">source</a></section></article><p>You can also obtain the derivative of melt fraction versus temperature with (useful to compute latent heat effects):</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_dϕdT!" href="#GeoParams.MeltingParam.compute_dϕdT!"><code>GeoParams.MeltingParam.compute_dϕdT!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_dϕdT!(ϕ::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computates the derivative of melt fraction <code>ϕ</code> versus temperature <code>T</code>, <span>${\partial \phi} \over {\partial T}$</span> for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This is employed, for example, in computing latent heat terms in an implicit manner.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/MeltFraction/MeltingParameterization.jl#L681-L686">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_dϕdT" href="#GeoParams.MeltingParam.compute_dϕdT"><code>GeoParams.MeltingParam.compute_dϕdT</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_dϕdT(P,T, p::AbstractPhaseDiagramsStruct)</code></pre><p>Computes derivative of melt fraction vs T in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified. The derivative is computed by finite differencing.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/MeltFraction/MeltingParameterization.jl#L578-L583">source</a></section><section><div><pre><code class="nohighlight hljs">ϕ = compute_dϕdT(Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computates the derivative of melt fraction ϕ versus temperature <code>T</code> for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This is employed in computing latent heat terms in an implicit manner, for example</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/MeltFraction/MeltingParameterization.jl#L673-L678">source</a></section></article><p>Also note that phase diagrams can be imported using <code>PerpleX_LaMEM_Diagram</code>, which may also have melt content information. The computational routines work with that as well.</p><h1 id="Plotting-routines"><a class="docs-heading-anchor" href="#Plotting-routines">Plotting routines</a><a id="Plotting-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting-routines" title="Permalink"></a></h1><p>You can use the routine <code>PlotMeltFraction</code> to create a plot, provided that the <code>GLMakie</code> package has been loaded</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotMeltFraction" href="#GeoParams.PlotMeltFraction"><code>GeoParams.PlotMeltFraction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">T,phi,plt = PlotMeltFraction(p::AbstractMeltingParam; T=nothing, plt=nothing, lbl=nothing)</code></pre><p>Creates a plot of temperature <code>T</code> vs. melt fraction, as specified in <code>p</code>. The 1D curve can be evaluated at a specific pressure <code>P</code> which can be given as a scalar or as an array of the same size as <code>T</code></p><p><strong>Optional parameters</strong></p><ul><li><code>T</code>: temperature range</li><li><code>P</code>: pressure</li><li><code>plt</code>: a previously generated plotting object</li><li><code>lbl</code>: label of the curve</li></ul><p><strong>Example</strong></p><pre><code class="nohighlight hljs">julia&gt; p          =  MeltingParam_Caricchi()
+julia&gt; T,phi,dϕdT =  PlotMeltFraction(p)</code></pre><p>you can now save the figure to disk with:</p><pre><code class="nohighlight hljs">julia&gt; using Plots
+julia&gt; savefig(plt,&quot;MeltFraction.png&quot;)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Plotting/Plotting.jl#L622-L645">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../gravity/">« Gravity</a><a class="docs-footer-nextpage" href="../TASclassification/">TAS classification »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 11 December 2023 13:29">Monday 11 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Nondimensionalization</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Nondimensionalization</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/nondimensionalize.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Nondimensionalization"><a class="docs-heading-anchor" href="#Nondimensionalization">Nondimensionalization</a><a id="Nondimensionalization-1"></a><a class="docs-heading-anchor-permalink" href="#Nondimensionalization" title="Permalink"></a></h1><p>Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between <code>GEO</code>, <code>SI</code> or <code>NO</code> units:</p><ul><li><code>SI</code> units assume all input and output is in <code>SI</code> units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).</li><li><code>GEO</code> units uses <code>SI</code> units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as <code>Myrs</code>,<code>km</code> or <code>MPa</code></li><li><code>NO</code> units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that <code>velocity</code> is given in <code>m/s</code>).</li></ul><p>A dimensional parameter can be transformed into a non-dimensional one with <code>nondimensionalize</code>.</p><h1 id="Specify-characteristic-values"><a class="docs-heading-anchor" href="#Specify-characteristic-values">Specify characteristic values</a><a id="Specify-characteristic-values-1"></a><a class="docs-heading-anchor-permalink" href="#Specify-characteristic-values" title="Permalink"></a></h1><p>Characteristic values can be defined in 3 ways.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units" href="#GeoParams.Units"><code>GeoParams.Units</code></a> — <span class="docstring-category">Module</span></header><section><div><pre><code class="language-julia hljs">This provides units and creates a non-dimensionalization object</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Units.jl#L1-L3">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.AbstractGeoUnit" href="#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><p>AbstractGeoUnit</p><p>Abstract supertype for geo units.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Units.jl#L96-L100">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnit" href="#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.
+
+Having that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.
+With the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Units.jl#L110-L117">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnits" href="#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">GeoUnits
+
+Structure that holds parameters used for non-dimensionalization</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Units.jl#L307-L311">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GEO_units" href="#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)</code></pre><p>Creates a non-dimensionalization object using GEO units.</p><p>GEO units implies that upon dimensionalization, <code>time</code> will be in <code>Myrs</code>, <code>length</code> in <code>km</code>, stress in <code>MPa</code>, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (<code>km</code> or <code>m</code>), provided the unit is specified.</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = GEO_units()
+Employing GEO units 
+Characteristic values: 
+         length:      1000 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C
+julia&gt; CharUnits.velocity
+1.0e-7 m s⁻¹</code></pre><p>If we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic <code>length</code>:</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = GEO_units(length=10km)
+Employing GEO units 
+Characteristic values: 
+         length:      10 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Units.jl#L359-L390">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.SI_units" href="#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)</code></pre><p>Specify the characteristic values using SI units </p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = SI_units(length=1000m)
+Employing SI units 
+Characteristic values: 
+         length:      1000 m
+         time:        1.0e19 s
+         stress:      10 Pa
+         temperature: 1000.0 K</code></pre><p>Note that the same can be achieved if the input is given in <code>km</code>:</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = SI_units(length=1km)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Units.jl#L429-L448">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.NO_units" href="#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)</code></pre><p>Specify the characteristic values in non-dimensional units</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GeoParams;
+julia&gt; CharUnits = NO_units()
+Employing NONE units 
+Characteristic values: 
+         length:      1
+         time:        1.0 
+         stress:      1
+         temperature: 1.0</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Units.jl#L487-L503">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_val" href="#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia hljs">This unpacks the numerical value of `GeoUnit` in a structure, without the units.
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_val ρ,α = r
+julia&gt; α
+4.0e-5
+julia&gt; typeof(α)
+Float64</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/unpack.jl#L4-L23">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_units" href="#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia hljs">This unpacks the numerical value with units of `GeoUnit` parameters in a structure
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_units ρ,α = r
+julia&gt; α
+4.0e-5 K⁻¹·⁰
+julia&gt; typeof(α)
+Quantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/unpack.jl#L46-L65">source</a></section></article><h1 id="(Non)-dimensionalize-parameters"><a class="docs-heading-anchor" href="#(Non)-dimensionalize-parameters">(Non)-dimensionalize parameters</a><a id="(Non)-dimensionalize-parameters-1"></a><a class="docs-heading-anchor-permalink" href="#(Non)-dimensionalize-parameters" title="Permalink"></a></h1><p>Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.nondimensionalize" href="#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">nondimensionalize(param, CharUnits::GeoUnits{TYPE})</code></pre><p>Nondimensionalizes <code>param</code> using the characteristic values specified in <code>CharUnits</code></p><p><strong>Example 1</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GeoParams;
+julia&gt; CharUnits =   GEO_units();
+julia&gt; v         =   3cm/yr
+3 cm yr⁻¹ 
+julia&gt; v_ND      =   nondimensionalize(v, CharUnits) 
+0.009506426344208684</code></pre><p><strong>Example 2</strong></p><p>In geodynamics one sometimes encounters more funky units</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits =   GEO_units();
+julia&gt; A         =   6.3e-2MPa^-3.05*s^-1
+0.063 MPa⁻³·⁰⁵ s⁻¹
+julia&gt; A_ND      =   nondimensionalize(A, CharUnits) 
+7.068716262102384e14</code></pre><p>In case you are interested to see how the units of <code>A</code> look like in different units, use this function from the <a href="https://github.com/PainterQubits/Unitful.jl">Unitful</a> package:</p><pre><code class="language-julia-repl hljs">julia&gt; uconvert(u&quot;Pa^-3.05*s^-1&quot;,A) 
+3.157479571851836e-20 Pa⁻³·⁰⁵</code></pre><p>and to see it decomposed in the basic <code>SI</code> units of length, mass and time:</p><pre><code class="language-julia-repl hljs">julia&gt; upreferred(A)
+3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Units.jl#L537-L571">source</a></section><section><div><pre><code class="nohighlight hljs">param = nondimensionalize(param::NTuple{N,Quantity}, g::GeoUnits{TYPE})</code></pre><p>nondimensionalizes a tuple of parameters    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Units.jl#L603-L607">source</a></section><section><div><pre><code class="nohighlight hljs">MatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Non-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p><p><strong></strong></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Units.jl#L641-L646">source</a></section><section><div><pre><code class="nohighlight hljs">nondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>nondimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Units.jl#L674-L678">source</a></section><section><div><pre><code class="nohighlight hljs">MatParam_ND = nondimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)</code></pre><p>Non-dimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Units.jl#L713-L718">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.dimensionalize" href="#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes <code>param</code> into the dimensions <code>param_dim</code> using the characteristic values specified in <code>CharUnits</code>.  </p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits =   GEO_units();
+julia&gt; v_ND      =   nondimensionalize(3cm/yr, CharUnits) 
+0.031688087814028945
+julia&gt; v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) 
+3.0 cm yr⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Units.jl#L725-L739">source</a></section><section><div><pre><code class="nohighlight hljs">dimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Units.jl#L760-L765">source</a></section><section><div><pre><code class="nohighlight hljs">Dimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>Dimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Units.jl#L793-L797">source</a></section><section><div><pre><code class="nohighlight hljs">dimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)</code></pre><p>dimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Units.jl#L840-L845">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.isDimensional" href="#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">isDimensional(MatParam::AbstractMaterialParam)</code></pre><p><code>true</code> if MatParam is in dimensional units.    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Units.jl#L852-L856">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../geounit/">« GeoUnit</a><a class="docs-footer-nextpage" href="../materialparameters/">Material Parameters »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 11 December 2023 13:29">Monday 11 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Phase Diagrams · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input 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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li class="is-active"><a class="tocitem" href>Phase Diagrams</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Perple_X"><span>Perple_X</span></a></li></ul></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Phase Diagrams</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Phase Diagrams</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/phasediagrams.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Phase-Diagrams"><a class="docs-heading-anchor" href="#Phase-Diagrams">Phase Diagrams</a><a id="Phase-Diagrams-1"></a><a class="docs-heading-anchor-permalink" href="#Phase-Diagrams" title="Permalink"></a></h1><p>It is possible to employ phase diagrams as lookup tables, which can be used to compute density, melt fraction or seismic properties, for example. </p><h1 id="Perple_X"><a class="docs-heading-anchor" href="#Perple_X">Perple_X</a><a id="Perple_X-1"></a><a class="docs-heading-anchor-permalink" href="#Perple_X" title="Permalink"></a></h1><p>A popular way to compute phase diagrams (pseudosections) for a given (fixed) chemical composition as a function of pressure and temperature is by using <a href="https://www.perplex.ethz.ch">Perple_X</a>. Once a stable assemblage is computed, through Gibbs energy minimisation, it allows you to output a large number of properties such as density, melt fraction or seismic velocities.</p><p>Within GeoParams, we can import this diagram (provided it is formatted in the same manner as <code>LaMEM</code> expects <code>Perple_X</code> input to be).</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PerpleX_LaMEM_Diagram" href="#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">PD_Data = PerpleX_LaMEM_Diagram(fname::String; CharDim = nothing)</code></pre><p>Reads a precomputed phase diagram in the <code>LaMEM/Perple_X</code> format (which is a phase diagram computed using <code>Perple_X</code>, but formatted in a manner that is readable using LaMEM). The data is stored in the <code>PhaseDiagram_LookupTable</code> structure.</p><p>If the <code>CharDim</code> object is specified, the values of all diagrams will be non-dimensionalized.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; PD_Data = PerpleX_LaMEM_Diagram(&quot;./test_data/Peridotite.in&quot;)
+Perple_X/LaMEM Phase Diagram Lookup Table: 
+                      File    :   ./test_data/Peridotite.in
+                      T       :   293.0 - 1573.000039
+                      P       :   1.0e7 - 2.9999999944e9
+                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp
+                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs
+                                  :Vp, :Vs, :VpVs</code></pre><p>Once imported, the properties on the diagram can be interpolated in a simple manner:</p><pre><code class="nohighlight hljs">julia&gt; PD_Data.Rho(1500,1e7)
+3042.836820256982</code></pre><p>This also works for vectors or arrays:</p><pre><code class="language-julia hljs">julia&gt; T = [1500 1800; 1233 1300]
+julia&gt; P = [1e8 1e9; 1e7 1e7]
+julia&gt; rho = PD_Data.Rho.(T,P)</code></pre><p>(Note the dot <code>.</code> in front of the bracket while evaluating arrays).</p><p>The fields that are available depend on what is listed in the diagram file.  The units of the fields are automatically evaluated, and employed to non-dimensionalize the parameters if <code>CharDim</code> is specified. </p><p><strong>Algorithm</strong></p><p>Internally, we employ linear interpolation, as provided by the <a href="https://github.com/JuliaMath/Interpolations.jl">Interpolations.jl</a> package. Values outside the range of the diagram are set to the boundary of the diagram. The interpolation object is directly encoded in the <code>PhaseDiagram_LookupTable</code>` object.  </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/PhaseDiagrams/PhaseDiagrams.jl#L44-L85">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable" href="#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Contains data of a Phase Diagram that is regularly spaced in P &amp; T</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/PhaseDiagrams/PhaseDiagrams.jl#L14-L16">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../zirconages/">« Zircon Ages</a><a class="docs-footer-nextpage" href="../seismicvelocity/">Seismic Velocity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 11 December 2023 13:29">Monday 11 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.2/man/plasticity/index.html b/v0.5.2/man/plasticity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Plasticity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li class="is-active"><a class="tocitem" href>Plasticity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Implemented-laws"><span>Implemented laws</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Plasticity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Plasticity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/plasticity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Plasticity"><a class="docs-heading-anchor" href="#Plasticity">Plasticity</a><a id="Plasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Plasticity" title="Permalink"></a></h1><p>Plasticity is a non-linear rheology that is activated once stresses exceed a certain yield criteria.</p><h1 id="Implemented-laws"><a class="docs-heading-anchor" href="#Implemented-laws">Implemented laws</a><a id="Implemented-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-laws" title="Permalink"></a></h1><p>The following plastic law are implemented:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.Plasticity.DruckerPrager</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.Plasticity.DruckerPrager_regularised</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>Usually, plasticity should be defined as part of a <code>CompositeRheology</code> structure and calculations can be done as with all other rheology computations by using <code>compute_τII</code>.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../elasticity/">« Elasticity</a><a class="docs-footer-nextpage" href="../heatcapacity/">Heat Capacity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 11 December 2023 13:29">Monday 11 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.2/man/plotting/index.html b/v0.5.2/man/plotting/index.html
new file mode 100644
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@@ -0,0 +1,30 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Plotting · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li class="is-active"><a class="tocitem" href>Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Plotting</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Plotting</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/plotting.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Plotting"><a class="docs-heading-anchor" href="#Plotting">Plotting</a><a id="Plotting-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting" title="Permalink"></a></h1><p>We provide a number of plotting routines. Note that these plotting routines only become available once the <code>GLMakie</code> package is loaded.</p><h3 id="Plot-CreepLaws"><a class="docs-heading-anchor" href="#Plot-CreepLaws">Plot CreepLaws</a><a id="Plot-CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#Plot-CreepLaws" title="Permalink"></a></h3><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotStressStrainrate_CreepLaw</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotHeatCapacity" href="#GeoParams.PlotHeatCapacity"><code>GeoParams.PlotHeatCapacity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">T,Cp,plt = PlotHeatCapacity(cp::AbstractHeatCapacity; T=nothing, plt=nothing, lbl=nothing)</code></pre><p>Creates a plot of temperature <code>T</code> vs. heat capacity, as specified in cp (which can be temperature-dependent).</p><p><strong>Optional parameters</strong></p><ul><li>T: temperature range</li><li>plt: a previously generated plotting object</li><li>lbl: label of the curve</li></ul><p><strong>Example</strong></p><pre><code class="nohighlight hljs">julia&gt; cp = T_HeatCapacity_Whittacker()
+julia&gt; T,Cp,plt = PlotHeatCapacity(cp)</code></pre><p>you can now save the figure to disk with:</p><pre><code class="nohighlight hljs">julia&gt; using Plots
+julia&gt; savefig(plt,&quot;Tdependent_heatcapacity.png&quot;)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Plotting/Plotting.jl#L522-L543">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotConductivity" href="#GeoParams.PlotConductivity"><code>GeoParams.PlotConductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">T,Kk,plt = PlotConductivity(cp::AbstractConductivity; T=nothing, plt=nothing, lbl=nothing)</code></pre><p>Creates a plot of temperature <code>T</code> vs. thermal conductivity, as specified in <code>k</code> (which can be temperature-dependent).</p><p><strong>Optional parameters</strong></p><ul><li><code>T</code>: temperature range</li><li><code>plt</code>: a previously generated plotting object</li><li><code>lbl</code>: label of the curve</li></ul><p><strong>Example</strong></p><pre><code class="nohighlight hljs">julia&gt; k = T_Conductivity_Whittacker()
+julia&gt; T,KK,plt = PlotConductivity(k)</code></pre><p>you can now save the figure to disk with:</p><pre><code class="nohighlight hljs">julia&gt; using Plots
+julia&gt; savefig(plt,&quot;Tdependent_conductivity.png&quot;)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Plotting/Plotting.jl#L567-L588">source</a></section></article><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotMeltFraction</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotPhaseDiagram" href="#GeoParams.PlotPhaseDiagram"><code>GeoParams.PlotPhaseDiagram</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">plt, data, Tvec, Pvec = PlotPhaseDiagram(p::PhaseDiagram_LookupTable; fieldname::Symbol, Tvec=nothing, Pvec=nothing)</code></pre><p>Plots a phase diagram as a function of <code>T</code> (x-axis) and <code>P</code> (y-axis). We either use the default ranges of the diagram, or you can specify the temperature and pressure ranges (while specifying units). The return arguments are the plotting object <code>plt</code> (so you can modify properties) as well as the data that is being plotted</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; PD_data =  Read_LaMEM_Perple_X_Diagram(&quot;Peridotite.in&quot;)
+Perple_X/LaMEM Phase Diagram Lookup Table:
+                      File    :   Peridotite.in
+                      T       :   293.0 - 1573.000039
+                      P       :   1.0e7 - 2.9999999944e9
+                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp
+                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs
+                                  :Vp, :Vs, :VpVs, :cpxFrac
+julia&gt; PlotPhaseDiagram(PD_data,:meltFrac, Tvec=(100:1:1400).*C, Pvec=(.1:.1:30).*kbar )</code></pre><p>This will generate the following plot <img src="../assets/img/PhaseDiagram.png" alt="subet2"/></p><p>You can also use the default pressure/temperature ranges in the diagrams:</p><pre><code class="language-julia hljs">julia&gt; PlotPhaseDiagram(PD_data,:Rho)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Plotting/Plotting.jl#L681-L709">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotDeformationMap" href="#GeoParams.PlotDeformationMap"><code>GeoParams.PlotDeformationMap</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">fig = PlotDeformationMap(v;    args=(P=0.0, d=1e-3, f=1.0),
+                            σ = (1e-2, 1e8),                # in MPa
+                            T = (10, 1000),                 # in C
+                            ε = (1e-22, 1e-8),              # in 1/s
+                            n = 400,                        # number of points
+                            rotate_axes = false,            # flip x &amp; y axes
+                            strainrate = true,              # strainrate (otherwise stress)
+                            viscosity = false,              # plot viscosity instead of strainrate/stress
+                            boundaries = true,              # plot deformation boundaries
+                            levels = 20,                    # number of contour levels
+                            colormap=:viridis,              # colormap
+                            filename=nothing,               # if you want to save this to file
+                            fontsize=40,                    # fontsize of labels
+                            res=(1200, 900))                # resolution in pixels</code></pre><p>Creates a deformation mechanism map (T/εII vs. stress/viscosity or T/τII vs. strainrate/viscosity) for given (composite) rheology <code>v</code></p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; v1 = SetDiffusionCreep(&quot;Dry Anorthite | Rybacki et al. (2006)&quot;)
+julia&gt; v2 = SetDislocationCreep(&quot;Dry Anorthite | Rybacki et al. (2006)&quot;)
+julia&gt; v=CompositeRheology(v1,v2)
+julia&gt; PlotDeformationMap(v, levels=100, colormap=:roma)</code></pre><p>Next, let&#39;s plot viscosity and flip x &amp; y axis:</p><pre><code class="language-julia hljs">julia&gt; PlotDeformationMap(v, viscosity=true, rotate_axes=true)</code></pre><p>Instead of plotting stress vs. T and computing strainrate, we can also provide strainrate/T and compute stress:</p><pre><code class="language-julia hljs">julia&gt; PlotDeformationMap(v, strainrate=false)</code></pre><p>Or plot viscosity but only add contours in a certain range:</p><pre><code class="language-julia hljs">julia&gt; PlotDeformationMap(v,  strainrate=false, viscosity=true, levels=Vector(18:.25:24))</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Plotting/Plotting.jl#L915-L953">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../strengthenvelope/">« 1D Strength Envelope</a><a class="docs-footer-nextpage" href="../listfunctions/">List of functions »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 11 December 2023 13:29">Monday 11 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.2/man/radioactiveheating/index.html b/v0.5.2/man/radioactiveheating/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Radioactive heat · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li class="is-active"><a class="tocitem" href>Radioactive heat</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Radioactive heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Radioactive heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/radioactiveheating.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Radioactive-heat"><a class="docs-heading-anchor" href="#Radioactive-heat">Radioactive heat</a><a id="Radioactive-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Radioactive-heat" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Radioactive heat sources are defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat" href="#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)</code></pre><p>Set a constant radioactive heat:</p><p class="math-container">\[    H_r  = cst\]</p><p>where <span>$H_r$</span> is the radioactive heat source [<span>$Watt/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Energy/RadioactiveHeat.jl#L23-L31">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat" href="#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ExpDepthDependent(H_0=1e-6Watt/m^3, h_r=10e3m, z_0=0m)</code></pre><p>Sets an exponential depth-dependent radioactive </p><p class="math-container">\[    H_r  = H_0 \exp \left( {- {(z - z_0) \over h_r}} \right)\]</p><p>where <span>$H_0$</span> is the radioactive heat source [<span>$Watt/m^3$</span>] at <span>$z=z_0$</span> which decays with depth over a characteristic distance <span>$h_r$</span>.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Energy/RadioactiveHeat.jl#L63-L71">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat!</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../latentheat/">« Latent heat</a><a class="docs-footer-nextpage" href="../shearheating/">Shear heating »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 11 December 2023 13:29">Monday 11 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.2/man/seismicvelocity/index.html b/v0.5.2/man/seismicvelocity/index.html
new file mode 100644
index 000000000..8a5257bf3
--- /dev/null
+++ b/v0.5.2/man/seismicvelocity/index.html
@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Seismic Velocity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li class="is-active"><a class="tocitem" href>Seismic Velocity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-velocity-correction-for-partial-melt"><span>Seismic velocity correction for partial melt</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-2"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-2"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity"><span>Seismic S-wave velocity correction for (shallow depth) porosity</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-3"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-3"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-velocity-correction-for-anelasticity"><span>Seismic velocity correction for anelasticity</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-4"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-4"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Seismic Velocity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Seismic Velocity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/seismicvelocity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Seismic-velocity"><a class="docs-heading-anchor" href="#Seismic-velocity">Seismic velocity</a><a id="Seismic-velocity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Seismic velocity can specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity" href="#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)</code></pre><p>Set a constant seismic P and S-wave velocity:</p><p class="math-container">\[    V_p = cst\]</p><p class="math-container">\[    V_s = cst\]</p><p>where <span>$V_p, V_s$</span> are the P-wave and S-wave velocities [<span>$km/s$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/SeismicVelocity/SeismicVelocity.jl#L35-L46">source</a></section></article><p>In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.</p><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To evaluate seismic velocity within a user routine, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_swave_velocity!</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_pwave_velocity!</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_pwave_velocity</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_swave_velocity</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-velocity-correction-for-partial-melt"><a class="docs-heading-anchor" href="#Seismic-velocity-correction-for-partial-melt">Seismic velocity correction for partial melt</a><a id="Seismic-velocity-correction-for-partial-melt-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity-correction-for-partial-melt" title="Permalink"></a></h1><h1 id="Methods-2"><a class="docs-heading-anchor" href="#Methods-2">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-2" title="Permalink"></a></h1><p>The routine uses the reduction formulation of Clark et al., (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.</p><h1 id="Computational-routines-2"><a class="docs-heading-anchor" href="#Computational-routines-2">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-2" title="Permalink"></a></h1><p>To compute melt-content based correction for seismic waves velocities, you can use:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.melt_correction</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity"><a class="docs-heading-anchor" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity">Seismic S-wave velocity correction for (shallow depth) porosity</a><a id="Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity" title="Permalink"></a></h1><h1 id="Methods-3"><a class="docs-heading-anchor" href="#Methods-3">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-3" title="Permalink"></a></h1><p>This routine is based on the equilibrium geometry model for the solid skeleton of Takei et al. (1998) and the porosity-depth empirical relationship of Chen et al. (2020)</p><h1 id="Computational-routines-3"><a class="docs-heading-anchor" href="#Computational-routines-3">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-3" title="Permalink"></a></h1><p>To compute porosity based correction for seismic S-wave velocity, you can use:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.porosity_correction</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-velocity-correction-for-anelasticity"><a class="docs-heading-anchor" href="#Seismic-velocity-correction-for-anelasticity">Seismic velocity correction for anelasticity</a><a id="Seismic-velocity-correction-for-anelasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity-correction-for-anelasticity" title="Permalink"></a></h1><h1 id="Methods-4"><a class="docs-heading-anchor" href="#Methods-4">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-4" title="Permalink"></a></h1><p>The routine uses the reduction formulation of karato (1993), using the quality factor formulation from Behn et al. (2009)</p><h1 id="Computational-routines-4"><a class="docs-heading-anchor" href="#Computational-routines-4">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-4" title="Permalink"></a></h1><p>To compute a correction of S-wave velocity for anelasticity, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction" href="#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">    Vs_anel = anelastic_correction(water::Int64, Vs0::Float64,P::Float64,T::Float64)</code></pre><p>This routine computes a correction of S-wave velocity for anelasticity</p><p><strong>Input:</strong></p><ul><li><code>water</code>: water flag, 0 = dry; 1 = dampened; 2 = water saturated </li><li><code>Vs0</code>  : S-wave velocitiy of the solid phase (with or without melt correction)</li><li><code>P</code>    : pressure given in Pa</li><li><code>T</code>    : temperature given in °K</li></ul><p><strong>Output:</strong></p><ul><li><code>Vs_anel</code> : corrected S-wave velocity for anelasticity</li></ul><p>The routine uses the reduction formulation of Karato (1993), using the quality factor formulation from Behn et al. (2009)</p><p><strong>References:</strong></p><ul><li><p>Karato, S. I. (1993). Importance of anelasticity in the interpretation of seismic tomography. Geophysical research letters, 20(15), 1623-1626.</p></li><li><p>Behn, M. D., Hirth, G., &amp; Elsenbeck II, J. R. (2009). Implications of grain size evolution on the seismic structure of the oceanic upper mantle. Earth and Planetary Science Letters, 282(1-4), 178-189.</p></li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/SeismicVelocity/SeismicVelocity.jl#L354-L381">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../phasediagrams/">« Phase Diagrams</a><a class="docs-footer-nextpage" href="../strengthenvelope/">1D Strength Envelope »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 11 December 2023 13:29">Monday 11 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li class="is-active"><a class="tocitem" href>Shear heating</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Shear heating</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Shear heating</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/shearheating.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Shear-heating"><a class="docs-heading-anchor" href="#Shear-heating">Shear heating</a><a id="Shear-heating-1"></a><a class="docs-heading-anchor-permalink" href="#Shear-heating" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Heat caused by non-recoverable deformation can be specified in </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.ConstantShearheating" href="#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantShearheating(Χ=0.0NoUnits)</code></pre><p>Set the shear heating efficiency [0-1] parameter</p><p class="math-container">\[Χ  = cst\]</p><p>where <span>$\Chi$</span> is the shear heating efficiency [NoUnits]</p><p>Shear heating is computed as</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}(\dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Energy/Shearheating.jl#L23-L37">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">H_s = compute_shearheating(s:&lt;AbstractShearheating, τ, ε, ε_el)</code></pre><p>Computes the shear heating source term</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Energy/Shearheating.jl#L89-L104">source</a></section><section><div><pre><code class="nohighlight hljs">H_s = ComputeShearheating(s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij}\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Energy/Shearheating.jl#L107-L120">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating!" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_shearheating!(H_s, s:&lt;AbstractShearheating,  τ, ε, ε_el)</code></pre><p>Computes the shear heating source term in-place</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul><p><em>NOTE:</em> The shear heating terms require the full deviatoric stress &amp; strain rate tensors, i.e.:</p><p class="math-container">\[2D: \tau_{ij} = \left(
+                \begin{matrix}
+                    \tau_{xx} &amp; \tau_{xz} \\
+                    \tau_{zx} &amp; \tau_{zz}
+                \end{matrix}
+            \right)\]</p><p>Since <span>$\tau_{zx}=\tau_{xz}$</span>, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used!</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Energy/Shearheating.jl#L125-L152">source</a></section><section><div><pre><code class="nohighlight hljs">compute_shearheating!(H_s, s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term <code>H_s</code> in-place when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij}\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Energy/Shearheating.jl#L155-L168">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../radioactiveheating/">« Radioactive heat</a><a class="docs-footer-nextpage" href="../gravity/">Gravity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 11 December 2023 13:29">Monday 11 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.2/man/strengthenvelope/index.html b/v0.5.2/man/strengthenvelope/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>1D Strength Envelope · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>1D Strength Envelope</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>1D Strength Envelope</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/strengthenvelope.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="D-Strength-envelope"><a class="docs-heading-anchor" href="#D-Strength-envelope">1D Strength envelope</a><a id="D-Strength-envelope-1"></a><a class="docs-heading-anchor-permalink" href="#D-Strength-envelope" title="Permalink"></a></h1><p>We provide a routine for computing a 1D strength envelope and the tools for setting up a temperature structure and lithostatic pressure profile.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ConstTemp" href="#GeoParams.ConstTemp"><code>GeoParams.ConstTemp</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstTemp(T=1000)</code></pre><p>Sets a constant temperature inside the box</p><p>Parameters:</p><ul><li>T : the value</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/StrengthEnvelope/StrengthEnvelope.jl#L8-L15">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.LinTemp" href="#GeoParams.LinTemp"><code>GeoParams.LinTemp</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">LinTemp(Ttop=0, Tbot=1000)</code></pre><p>Sets a linear temperature structure from top to bottom</p><p>Parameters:</p><ul><li>Ttop: the value @ the top</li><li>Tbot: the value @ the bottom</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/StrengthEnvelope/StrengthEnvelope.jl#L33-L41">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.HalfspaceCoolTemp" href="#GeoParams.HalfspaceCoolTemp"><code>GeoParams.HalfspaceCoolTemp</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">HalfspaceCoolTemp(Tsurface=0, Tmantle=1350, Age=60, Adiabat=0)</code></pre><p>Sets a halfspace temperature structure in plate</p><p>Parameters:</p><ul><li>Tsurface: surface temperature [C]</li><li>Tmantle:  mantle temperature [C]</li><li>Age:      Thermal Age of plate [Myrs]</li><li>Adiabat:  Mantle Adiabat [K/km]</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/StrengthEnvelope/StrengthEnvelope.jl#L57-L67">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.CompTempStruct" href="#GeoParams.CompTempStruct"><code>GeoParams.CompTempStruct</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CompTempStruct(Z, s::AbstractTempStruct)</code></pre><p>Returns a temperature vector that matches the coordinate vector and temperature structure that were passed in</p><p>Parameters:</p><ul><li>Z: vector with depth coordinates</li><li>s: Temperature structure (CostTemp, LinTemp, HalfspaceCoolTemp)</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/StrengthEnvelope/StrengthEnvelope.jl#L21-L29">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.LithPres" href="#GeoParams.LithPres"><code>GeoParams.LithPres</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">LithPres(MatParam, Phases, ρ, T, dz, g)</code></pre><p>Iteratively solves a 1D lithostatic pressure profile (compatible with temperature- and pressure-dependent densities)</p><p>Parameters:</p><ul><li>MatParam: a tuple of materials (including the following properties: Phase, Density)</li><li>Phases:   vector with the distribution of phases</li><li>ρ:        density vector for initial guess(can be zeros)</li><li>T:        temperature vector</li><li>dz:       grid spacing</li><li>g:        gravitational acceleration</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/StrengthEnvelope/StrengthEnvelope.jl#L89-L101">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.StrengthEnvelopeComp" href="#GeoParams.StrengthEnvelopeComp"><code>GeoParams.StrengthEnvelopeComp</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">StrengthEnvelopeComp(MatParam::NTuple{N, AbstractMaterialParamsStruct}, Thickness::Vector{U}, TempType::AbstractTempStruct=LinTemp(0C, 800C), ε=1e-15/s, nz::Int64=101) where {N, U}</code></pre><p>Calculates a 1D strength envelope. Pressure used for Drucker Prager plasticity is lithostatic. To visualize the results in a GUI, use StrengthEnvelopePlot.</p><p>Parameters:</p><ul><li>MatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)</li><li>Thickness: a vector listing the thicknesses of the respective layers (should carry units)</li><li>TempType:  the type of temperature profile (ConstTemp(), LinTemp(), HalfspaceCoolTemp())</li><li>ε:         background strainrate</li><li>nz:        optional argument controlling the number of points along the profile (default = 101)</li></ul><p><strong>Example:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GLMakie
+julia&gt; MatParam = (SetMaterialParams(Name=&quot;UC&quot;, Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(&quot;Wet Quartzite | Ueda et al. (2008)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;MC&quot;, Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(&quot;Plagioclase An75 | Ji and Zhao (1993)&quot;), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;LC&quot;, Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(&quot;Maryland strong diabase | Mackwell et al. (1998)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));
+julia&gt; Thickness = [15,10,15]*km;
+
+julia&gt; StrengthEnvelopeComp(MatParam, Thickness, LinTemp(), ε=1e-15/s)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/StrengthEnvelope/StrengthEnvelope.jl#L165-L187">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.StrengthEnvelopePlot" href="#GeoParams.StrengthEnvelopePlot"><code>GeoParams.StrengthEnvelopePlot</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">StrengthEnvelopePlot(MatParam, Thickness; TempType, nz)</code></pre><p>Requires GLMakie</p><p>Creates a GUI that plots a 1D strength envelope. In the GUI, temperature profile and strain rate can be adjusted. The Drucker-Prager plasticity uses lithostatic pressure.</p><p>Parameters:</p><ul><li>MatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)</li><li>Thickness: a vector listing the thicknesses of the respective layers (should carry units)</li><li>TempType:  the type of temperature profile (LinTemp=default, HalfspaceCoolTemp, ConstTemp)</li><li>nz:        optional argument controlling the number of points along the profile (default = 101)</li></ul><p><strong>Example:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GLMakie
+julia&gt; MatParam = (SetMaterialParams(Name=&quot;UC&quot;, Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(&quot;Wet Quartzite | Ueda et al. (2008)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;MC&quot;, Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(&quot;Plagioclase An75 | Ji and Zhao (1993)&quot;), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;LC&quot;, Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(&quot;Maryland strong diabase | Mackwell et al. (1998)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));
+julia&gt; Thickness = [15,10,15]*km;
+
+julia&gt; StrengthEnvelopePlot(MatParam, Thickness, LinTemp())</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/StrengthEnvelope/StrengthEnvelope.jl#L232-L255">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../seismicvelocity/">« Seismic Velocity</a><a class="docs-footer-nextpage" href="../plotting/">Plotting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 11 December 2023 13:29">Monday 11 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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--- /dev/null
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Tables · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Tables</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Tables</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/tables.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Tables"><a class="docs-heading-anchor" href="#Tables">Tables</a><a id="Tables-1"></a><a class="docs-heading-anchor-permalink" href="#Tables" title="Permalink"></a></h1><p>There are two different formats of output tables that can be produced:</p><ul><li>LaTeX (always comes with &quot;References.bib&quot; for citations)</li><li>Markdown</li></ul><h1 id="Producing-output-table"><a class="docs-heading-anchor" href="#Producing-output-table">Producing output table</a><a id="Producing-output-table-1"></a><a class="docs-heading-anchor-permalink" href="#Producing-output-table" title="Permalink"></a></h1><p><code>ParameterTable()</code> is used to produce an output table of all the material parameters in your phase(s) in LaTeX or Markdown format. All you need is a dimensional <code>phase</code> as defined in section 2. Material Parameters in the README.md of GeoParams. This <code>phase</code> should be given to <code>ParameterTable</code> as first argument. There are optional arguments which can be given in <code>ParameterTable</code>. Those are <code>format</code>, <code>filename</code> and <code>rdigits</code>. The <code>format</code> keyword determines whether your table should be in <code>LaTeX</code> or <code>Markdown</code> format (should be given as string). <code>filename</code> determines the name of the file but can also be used to save the file in a different directory other than the GeoParams package directory (should be given as string, note: no file endings needed since they will be determined by the <code>format</code> keyword!). <code>rdigits</code> gives the numbers of decimals to which all parameter values will be rounded (should be given as integer).</p><p>Example 1:</p><pre><code class="language-julia hljs">julia&gt; MatParam = SetMaterialParams(Name=&quot;Viscous Matrix&quot;, Phase=1,
+                                     Density   = ConstantDensity(),
+                                     CreepLaws = LinearViscous(η=1e23Pa*s))
+
+julia&gt; ParameterTable(MatParam, format=&quot;tex&quot;, filename=&quot;ParameterTable&quot;, rdigits=4)</code></pre><p><img src="../assets/img/LaTeX_table.PNG" alt="latex"/></p><p>Example 2:</p><pre><code class="language-julia hljs">julia&gt; ParameterTable(MatParam, format=&quot;md&quot;, filename=&quot;ParameterTable&quot;, rdigits=4)</code></pre><p><img src="../assets/img/markdown_table.PNG" alt="markdown"/></p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.ParameterTable" href="#GeoParams.Tables.ParameterTable"><code>GeoParams.Tables.ParameterTable</code></a> — <span class="docstring-category">Function</span></header><section><div><p>ParameterTable() creates a table with all parameters saved in the Phase struct. It lets you choose between &quot;latex&quot; and &quot;markdown&quot; as table formats with LaTeX as default. Creates a filename.tex or filename.md file as output. If &quot;latex&quot; is chosen a &quot;Reference.bib&quot; file will automatically be produced with all your references. Storage path by default is the GeoParams package folder. A specific storage path can be given as normal path with &quot;\filename&quot; in the end as a string. Use double backslash for subfolders. There is no file extension needed to be given.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Tables.jl#L1171-L1176">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.Phase2Dict" href="#GeoParams.Tables.Phase2Dict"><code>GeoParams.Tables.Phase2Dict</code></a> — <span class="docstring-category">Function</span></header><section><div><p>Phase2Dict() puts all parameters of a phase s in a dict.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Tables.jl#L32-L34">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.Phase2DictMd" href="#GeoParams.Tables.Phase2DictMd"><code>GeoParams.Tables.Phase2DictMd</code></a> — <span class="docstring-category">Function</span></header><section><div><p>Phase2DictMd() puts all parameters of a phase in a dict.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Tables.jl#L658-L661">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.Dict2LatexTable" href="#GeoParams.Tables.Dict2LatexTable"><code>GeoParams.Tables.Dict2LatexTable</code></a> — <span class="docstring-category">Function</span></header><section><div><p>Dict2LatexTable() writes a .tex file with all parameters from the Phase2Dict() output in a LaTeX table. rdigits will round numbers with more decimals than rdigits including numbers of 10 to power of n, n being an Integer, for representation purposes. For the exact numbers use the original implemented numbers from the creeplaws of the dict in src/CreepLaw/Data/DiffusionCreep.jl or src/CreepLaw/Data/DislocationCreep.jl.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Tables.jl#L386-L392">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.Dict2MarkdownTable" href="#GeoParams.Tables.Dict2MarkdownTable"><code>GeoParams.Tables.Dict2MarkdownTable</code></a> — <span class="docstring-category">Function</span></header><section><div><p>Dict2MarkdownTable() writes a .md file with all parameters from the Phase2DictMd() output in a Markdown table. rdigits will round numbers with more decimals than rdigits including numbers of 10 to power of n, n being an Integer, for representation purposes. For the exact numbers use the original implemented numbers from the creeplaws of the dict in src/CreepLaw/Data/DiffusionCreep.jl or src/CreepLaw/Data/DislocationCreep.jl.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Tables.jl#L986-L991">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.detachFloatfromExponent" href="#GeoParams.Tables.detachFloatfromExponent"><code>GeoParams.Tables.detachFloatfromExponent</code></a> — <span class="docstring-category">Function</span></header><section><div><p>detachFloatfromExponent() returns the number of float decimals after the comma as Integer, the float number without the exponent as string  and the exponent after the &quot;e&quot; as string. The argument output returns &quot;1&quot; for &quot;ex&quot; if the input number has no exponent.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Tables.jl#L11-L17">source</a></section></article></article><nav class="docs-footer"><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 11 December 2023 13:29">Monday 11 December 2023</span>. 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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Viscosity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Viscosity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Viscosity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/viscosity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Effective-viscosity-computations"><a class="docs-heading-anchor" href="#Effective-viscosity-computations">Effective viscosity computations</a><a id="Effective-viscosity-computations-1"></a><a class="docs-heading-anchor-permalink" href="#Effective-viscosity-computations" title="Permalink"></a></h1><article class="docstring"><header><a class="docstring-binding" id="GeoParams.compute_viscosity_εII" href="#GeoParams.compute_viscosity_εII"><code>GeoParams.compute_viscosity_εII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_viscosity_εII(s::AbstractConstitutiveLaw, εII, kwargs...)</code></pre><p>Compute effective viscosity given a 2nd invariant of the deviatoric strain rate tensor, extra parameters are passed as a named tuple, e.g., (;T=T) </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Viscosity/Viscosity.jl#L13-L17">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.compute_viscosity_τII" href="#GeoParams.compute_viscosity_τII"><code>GeoParams.compute_viscosity_τII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_viscosity_τII(s::AbstractConstitutiveLaw, τII, kwargs...)</code></pre><p>Compute effective viscosity given a 2nd invariant of the deviatoric stress tensor and, extra parameters are passed as a named tuple, e.g., (;T=T) </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/Viscosity/Viscosity.jl#L26-L30">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" 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December 2023 13:29">Monday 11 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.2/man/zirconages/index.html b/v0.5.2/man/zirconages/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Zircon Ages · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li class="is-active"><a class="tocitem" href>Zircon Ages</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Zircon Ages</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Zircon Ages</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/zirconages.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Zircon-age-parameterizations"><a class="docs-heading-anchor" href="#Zircon-age-parameterizations">Zircon age parameterizations</a><a id="Zircon-age-parameterizations-1"></a><a class="docs-heading-anchor-permalink" href="#Zircon-age-parameterizations" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Zircons are one of the ways in which we can date the age &amp; activity of magmatic systems. Here, we provide a computational routine that computes the zircon age distribution from temperature-time paths</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.ZirconAgeData" href="#GeoParams.ZirconAges.ZirconAgeData"><code>GeoParams.ZirconAges.ZirconAgeData</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ZirconAgeData</code></pre><p>Struct that holds default parameters for the calculations</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/ZirconAge/ZirconAges.jl#L27-L31">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>There is one main routine with which you can compute zircon age probability density functions from a range of temperature-ime paths:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.compute_zircon_age_PDF" href="#GeoParams.ZirconAges.compute_zircon_age_PDF"><code>GeoParams.ZirconAges.compute_zircon_age_PDF</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">time_Ma, PDF_zircons, time_Ma_average, PDF_zircon_average, time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF = compute_zircon_age_PDF(time_years_vecs::Vector{Vector}, Tt_paths_Temp_vecs::Vector{Vector}; ZirconData::ZirconAgeData = ZirconAgeData(), bandwidth=bandwidth, n_analyses=300)</code></pre><p>This computes the PDF (probability density function) with zircon age data from Vectors with Tt-paths	</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/ZirconAge/ZirconAges.jl#L296-L301">source</a></section></article><p>This, in turn, calls two other routines:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.compute_zircons_Ttpath" href="#GeoParams.ZirconAges.compute_zircons_Ttpath"><code>GeoParams.ZirconAges.compute_zircons_Ttpath</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF =  compute_zircons_Ttpath(time_years::AbstractArray{Float64,1}, Tt_paths_Temp::AbstractArray{Float64,2}; ZirconData::ZirconAgeData)</code></pre><p>This computes the number of zircons produced from a series of temperature-time path&#39;s.  The Tt-paths are stored in a 2D matrix <code>Tt_paths_Temp</code> with rows being the temperature at time <code>time_years</code>.</p><p><strong>Input:</strong></p><ul><li><code>time_years</code> : vector of length <code>nt</code> with the time in years (since the beginning of the simulation) of the points provided</li><li><code>Tt_paths_Temp</code> : array of size <code>(nt,npaths)</code>` with the temperature of every path.</li></ul><p>Output:</p><ul><li><code>prob</code> : a vector that gives the relative probability that a zircon with a given age exists</li><li><code>ages_eruptible</code> : age of eruptble magma</li><li><code>number_zircons</code> : 1D array of size <code>(nt,)</code></li><li><code>T_av_time</code>: vector of size <code>nt</code> that contains the average T of the paths</li><li><code>T_sd_time</code>: vector of size <code>nt</code> that contains the standard deviation of the T of the paths</li><li><code>cumPDF</code>: vector of size <code>nt</code> that contains the cumulative probability density function that we have an age of less than a certain one in the samples</li></ul><p>This routine was developed based on an R-routine provided as electronic supplement in the paper:</p><ul><li>Weber, G., Caricchi, L., Arce, J.L., Schmitt, A.K., 2020. Determining the current size and state of subvolcanic magma reservoirs. Nat Commun 11, 5477. https://doi.org/10.1038/s41467-020-19084-2</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/ZirconAge/ZirconAges.jl#L98-L120">source</a></section><section><div><pre><code class="nohighlight hljs">time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF  = compute_zircons_Ttpath(time_years_vecs::Vector{Vector{Float64}}, Tt_paths_Temp::Vector{Vector{Float64}}; ZirconData::ZirconAgeData = ZirconAgeData())</code></pre><p>This accepts Vector{Vector} as input for time and temperature of each Tt-path. Here, the length of the vector can be variable between different points.</p><p>Internally, we interpolate this into a 2D matrix and a longer vector that includes all paths and a single vector with times </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/ZirconAge/ZirconAges.jl#L205-L212">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.zircon_age_PDF" href="#GeoParams.ZirconAges.zircon_age_PDF"><code>GeoParams.ZirconAges.zircon_age_PDF</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">zircon_age_PDF(ages_eruptible::AbstractArray{Float64,1}, number_zircons::AbstractArray{Float64,2}, bandwidth=1e5, n_analyses=300, ZirconData::ZirconAgeData)</code></pre><p>Compute probability density functions for zircon age path&#39;s describes in <code>number_zircons</code> with age <code>ages_eruptible</code> (both computed ). <code>bandwidth</code> is the smoothening window of the resulting curves (in years), whereas <code>n_analyses</code> are the number of analyses done. 	</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4163501975a586169cf374e18c7cac422e44539d/src/ZirconAge/ZirconAges.jl#L256-L260">source</a></section></article><p>We also provide a plotting routine, provided the GLMakie.jl package is loaded, which produces figures such as: <img src="../assets/img/ZirconAge_PDF.png" alt="subet3"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../TASclassification/">« TAS classification</a><a class="docs-footer-nextpage" href="../phasediagrams/">Phase Diagrams »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 11 December 2023 13:29">Monday 11 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Search · GeoParams.jl</title><script data-outdated-warner src="../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL=".."</script><script 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class="docs-menu"><li><a class="tocitem" href="../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../man/geounit/">GeoUnit</a></li><li><a class="tocitem" href="../man/nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../man/materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../man/density/">Density</a></li><li><a class="tocitem" href="../man/creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../man/customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../man/viscosity/">Viscosity</a></li><li><a class="tocitem" href="../man/elasticity/">Elasticity</a></li><li><a class="tocitem" href="../man/plasticity/">Plasticity</a></li><li><a class="tocitem" href="../man/heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../man/conductivity/">Conductivity</a></li><li><a class="tocitem" href="../man/latentheat/">Latent heat</a></li><li><a class="tocitem" href="../man/radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../man/shearheating/">Shear heating</a></li><li><a class="tocitem" href="../man/gravity/">Gravity</a></li><li><a class="tocitem" href="../man/melting/">Partial Melting</a></li><li><a class="tocitem" href="../man/TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../man/zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../man/phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../man/seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../man/strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../man/plotting/">Plotting</a></li><li><a class="tocitem" href="../man/listfunctions/">List of functions</a></li><li><a class="tocitem" href="../man/contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static 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Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body><script src="../search_index.js"></script><script src="../assets/search.js"></script></html>
diff --git a/v0.5.2/search_index.js b/v0.5.2/search_index.js
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+var documenterSearchIndex = {"docs":
+[{"location":"man/phasediagrams/#Phase-Diagrams","page":"Phase Diagrams","title":"Phase Diagrams","text":"","category":"section"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"It is possible to employ phase diagrams as lookup tables, which can be used to compute density, melt fraction or seismic properties, for example. ","category":"page"},{"location":"man/phasediagrams/#Perple_X","page":"Phase Diagrams","title":"Perple_X","text":"","category":"section"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"A popular way to compute phase diagrams (pseudosections) for a given (fixed) chemical composition as a function of pressure and temperature is by using Perple_X. Once a stable assemblage is computed, through Gibbs energy minimisation, it allows you to output a large number of properties such as density, melt fraction or seismic velocities.","category":"page"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"Within GeoParams, we can import this diagram (provided it is formatted in the same manner as LaMEM expects Perple_X input to be).","category":"page"},{"location":"man/phasediagrams/","page":"Phase Diagrams","title":"Phase Diagrams","text":"GeoParams.MaterialParameters.PhaseDiagrams.PerpleX_LaMEM_Diagram\nGeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","category":"page"},{"location":"man/phasediagrams/#GeoParams.PerpleX_LaMEM_Diagram","page":"Phase Diagrams","title":"GeoParams.PerpleX_LaMEM_Diagram","text":"PD_Data = PerpleX_LaMEM_Diagram(fname::String; CharDim = nothing)\n\nReads a precomputed phase diagram in the LaMEM/Perple_X format (which is a phase diagram computed using Perple_X, but formatted in a manner that is readable using LaMEM). The data is stored in the PhaseDiagram_LookupTable structure.\n\nIf the CharDim object is specified, the values of all diagrams will be non-dimensionalized.\n\nExample\n\njulia> PD_Data = PerpleX_LaMEM_Diagram(\"./test_data/Peridotite.in\")\nPerple_X/LaMEM Phase Diagram Lookup Table: \n                      File    :   ./test_data/Peridotite.in\n                      T       :   293.0 - 1573.000039\n                      P       :   1.0e7 - 2.9999999944e9\n                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp\n                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs\n                                  :Vp, :Vs, :VpVs\n\nOnce imported, the properties on the diagram can be interpolated in a simple manner:\n\njulia> PD_Data.Rho(1500,1e7)\n3042.836820256982\n\nThis also works for vectors or arrays:\n\njulia> T = [1500 1800; 1233 1300]\njulia> P = [1e8 1e9; 1e7 1e7]\njulia> rho = PD_Data.Rho.(T,P)\n\n(Note the dot . in front of the bracket while evaluating arrays).\n\nThe fields that are available depend on what is listed in the diagram file.  The units of the fields are automatically evaluated, and employed to non-dimensionalize the parameters if CharDim is specified. \n\nAlgorithm\n\nInternally, we employ linear interpolation, as provided by the Interpolations.jl package. Values outside the range of the diagram are set to the boundary of the diagram. The interpolation object is directly encoded in the PhaseDiagram_LookupTable` object.  \n\n\n\n\n\n","category":"function"},{"location":"man/phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","page":"Phase Diagrams","title":"GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","text":"Contains data of a Phase Diagram that is regularly spaced in P & T\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#MaterialParameters","page":"Material Parameters","title":"MaterialParameters","text":"","category":"section"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"Material properties for a given phase can be set with SetMaterialParams, whereas all properties are  stored in the MaterialParams structure. Information about the material parameter is found at MaterialParamsInfo. This can be employed ","category":"page"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"MaterialParamsInfo\nSetMaterialParams\nMaterialParams","category":"page"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParamsInfo","text":"MaterialParamsInfo\n\nStructure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.\n\nUsually used in combination with param_info(the_parameter_of_interest)\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.SetMaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.SetMaterialParams","text":"SetMaterialParams(; Name::String=\"\", Phase::Int64=1,\n                    Density             =   nothing, \n                    Gravity             =   nothing,\n                    CreepLaws           =   nothing, \n                    Elasticity          =   nothing, \n                    Plasticity          =   nothing, \n                    CompositeRheology   =   nothing,\n                    Conductivity        =   nothing, \n                    HeatCapacity        =   nothing, \n                    RadioactiveHeat     =   nothing,\n                    LatentHeat          =   nothing,\n                    ShearHeat           =   nothing,\n                    Melting             =   nothing,\n                    SeismicVelocity     =   nothing,\n                    CharDim::GeoUnits   =   nothing)\n\nSets material parameters for a given phase. \n\nIf CharDim is specified the input parameters are non-dimensionalized.   Note that if Density is specified, we also set Gravity even if not explicitly listed\n\nExamples\n\nDefine two viscous creep laws & constant density:\n\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\",\n                       Density   = ConstantDensity(),\n                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))\nPhase 1 : Viscous Matrix\n        | [dimensional units]\n        | \n        |-- Density           : Constant density: ρ=2900 kg m⁻³ \n        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  \n        |                       Linear viscosity: η=1.0e21 Pa s\n\nDefine two viscous creep laws & P/T dependent density and nondimensionalize\n\njulia> CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\", Phase=33,\n                              Density   = PT_Density(),\n                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),\n                              CharDim   = CharUnits_GEO)\nPhase 33: Viscous Matrix\n        | [non-dimensional units]\n        | \n        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0 \n        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18 \n        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001  \n        |                       Linear viscosity: η=10000.0 \n\nYou can also create an array that holds several parameters:\n\njulia> MatParam        =   Array{MaterialParams, 1}(undef, 2);\njulia> Phase           =   1;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Upper Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                            Density  = ConstantDensity(ρ=2900kg/m^3));\njulia> Phase           =   2;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Lower Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),\n                            Density  = PT_Density(ρ0=3000kg/m^3));\njulia> MatParam\n2-element Vector{MaterialParams}:\n Phase 1 : Upper Crust\n    | [dimensional units]\n    | \n    |-- Density           : Constant density: ρ=2900 kg m⁻³ \n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  \n    |                       Linear viscosity: η=1.0e23 Pa s \n                            \n Phase 2 : Lower Crust\n    | [dimensional units]\n    | \n    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa \n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹  \n    |                       Linear viscosity: η=1.0e21 Pa s \n\n\n\n\n\n","category":"function"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParams","text":"MaterialParams\n\nStructure that holds all material parameters for a given phase\n\n\n\n\n\n","category":"type"},{"location":"man/contributing/#Contributing","page":"Contributing","title":"Contributing","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"You can contribute for example by adding new creep laws or by adding new constitutive relationships. If you invest a bit of time now, it will save others in the community a lot of time! The simplest way to do this is by cloning the repository, and creating a new branch for your feature. Once you are happy with what you added (and after you added a test to ensure that it will keep working with future changes), create a pull request and we will evaluate & merge it.","category":"page"},{"location":"man/contributing/#Style-Guide","page":"Contributing","title":"Style Guide","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Follow the style of the surrounding text when making changes. When adding new features please try to stick to the following points whenever applicable.","category":"page"},{"location":"man/contributing/#Julia","page":"Contributing","title":"Julia","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"4-space indentation;\nmodules spanning entire files should not be indented, but modules that have surrounding code should;\nno blank lines at the start or end of files;\ndo not manually align syntax such as = or :: over adjacent lines;\nuse function ... end when a method definition contains more than one toplevel expression;\nrelated short-form method definitions don't need a new line between them;\nunrelated or long-form method definitions must have a blank line separating each one;\nsurround all binary operators with whitespace except for ::, ^, and :;\nfiles containing a single module ... end must be named after the module;\nmethod arguments should be ordered based on the amount of usage within the method body;\nmethods extended from other modules must follow their inherited argument order, not the above rule;\nexplicit return should be preferred except in short-form method definitions;\navoid dense expressions where possible e.g. prefer nested ifs over complex nested ?s;\ninclude a trailing , in vectors, tuples, or method calls that span several lines;\ndo not use multiline comments (#= and =#);\nwrap long lines as near to 92 characters as possible, this includes docstrings;\nfollow the standard naming conventions used in Base.","category":"page"},{"location":"man/contributing/#Markdown","page":"Contributing","title":"Markdown","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Use unbalanced # headers, i.e. no # on the right hand side of the header text;\ninclude a single blank line between toplevel blocks;\nunordered lists must use * bullets with two preceding spaces;\ndo not hard wrap lines;\nuse emphasis (*) and bold (**) sparingly;\nalways use fenced code blocks instead of indented blocks;\nfollow the conventions outlined in the Julia documentation page on documentation.","category":"page"},{"location":"man/latentheat/#Latent-heat","page":"Latent heat","title":"Latent heat","text":"","category":"section"},{"location":"man/latentheat/#Methods","page":"Latent heat","title":"Methods","text":"","category":"section"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"Latent heat (of crystallisation) is defined as ","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","category":"page"},{"location":"man/latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","page":"Latent heat","title":"GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","text":"ConstantLatentHeat(Q_L=400kJ/kg)\n\nSet a constant latent heat:\n\n    Q_L  = cst\n\nwhere Q_L is the latent heat [kJkg].\n\n\n\n\n\n","category":"type"},{"location":"man/latentheat/#Computational-routines","page":"Latent heat","title":"Computational routines","text":"","category":"section"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"To compute, use this:","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"GeoParams.MaterialParameters.LatentHeat.compute_latent_heat","category":"page"},{"location":"man/zirconages/#Zircon-age-parameterizations","page":"Zircon Ages","title":"Zircon age parameterizations","text":"","category":"section"},{"location":"man/zirconages/#Methods","page":"Zircon Ages","title":"Methods","text":"","category":"section"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"Zircons are one of the ways in which we can date the age & activity of magmatic systems. Here, we provide a computational routine that computes the zircon age distribution from temperature-time paths","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.ZirconAgeData","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.ZirconAgeData","page":"Zircon Ages","title":"GeoParams.ZirconAges.ZirconAgeData","text":"ZirconAgeData\n\nStruct that holds default parameters for the calculations\n\n\n\n\n\n","category":"type"},{"location":"man/zirconages/#Computational-routines","page":"Zircon Ages","title":"Computational routines","text":"","category":"section"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"There is one main routine with which you can compute zircon age probability density functions from a range of temperature-ime paths:","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.compute_zircon_age_PDF","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.compute_zircon_age_PDF","page":"Zircon Ages","title":"GeoParams.ZirconAges.compute_zircon_age_PDF","text":"time_Ma, PDF_zircons, time_Ma_average, PDF_zircon_average, time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF = compute_zircon_age_PDF(time_years_vecs::Vector{Vector}, Tt_paths_Temp_vecs::Vector{Vector}; ZirconData::ZirconAgeData = ZirconAgeData(), bandwidth=bandwidth, n_analyses=300)\n\nThis computes the PDF (probability density function) with zircon age data from Vectors with Tt-paths\t\n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"This, in turn, calls two other routines:","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.compute_zircons_Ttpath\nGeoParams.zircon_age_PDF","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.compute_zircons_Ttpath","page":"Zircon Ages","title":"GeoParams.ZirconAges.compute_zircons_Ttpath","text":"prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF =  compute_zircons_Ttpath(time_years::AbstractArray{Float64,1}, Tt_paths_Temp::AbstractArray{Float64,2}; ZirconData::ZirconAgeData)\n\nThis computes the number of zircons produced from a series of temperature-time path's.  The Tt-paths are stored in a 2D matrix Tt_paths_Temp with rows being the temperature at time time_years.\n\nInput:\n\ntime_years : vector of length nt with the time in years (since the beginning of the simulation) of the points provided\nTt_paths_Temp : array of size (nt,npaths)` with the temperature of every path.\n\nOutput:\n\nprob : a vector that gives the relative probability that a zircon with a given age exists\nages_eruptible : age of eruptble magma\nnumber_zircons : 1D array of size (nt,)\nT_av_time: vector of size nt that contains the average T of the paths\nT_sd_time: vector of size nt that contains the standard deviation of the T of the paths\ncumPDF: vector of size nt that contains the cumulative probability density function that we have an age of less than a certain one in the samples\n\nThis routine was developed based on an R-routine provided as electronic supplement in the paper:\n\nWeber, G., Caricchi, L., Arce, J.L., Schmitt, A.K., 2020. Determining the current size and state of subvolcanic magma reservoirs. Nat Commun 11, 5477. https://doi.org/10.1038/s41467-020-19084-2\n\n\n\n\n\ntime_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF  = compute_zircons_Ttpath(time_years_vecs::Vector{Vector{Float64}}, Tt_paths_Temp::Vector{Vector{Float64}}; ZirconData::ZirconAgeData = ZirconAgeData())\n\nThis accepts Vector{Vector} as input for time and temperature of each Tt-path. Here, the length of the vector can be variable between different points.\n\nInternally, we interpolate this into a 2D matrix and a longer vector that includes all paths and a single vector with times \n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/#GeoParams.ZirconAges.zircon_age_PDF","page":"Zircon Ages","title":"GeoParams.ZirconAges.zircon_age_PDF","text":"zircon_age_PDF(ages_eruptible::AbstractArray{Float64,1}, number_zircons::AbstractArray{Float64,2}, bandwidth=1e5, n_analyses=300, ZirconData::ZirconAgeData)\n\nCompute probability density functions for zircon age path's describes in number_zircons with age ages_eruptible (both computed ). bandwidth is the smoothening window of the resulting curves (in years), whereas n_analyses are the number of analyses done. \t\n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"We also provide a plotting routine, provided the GLMakie.jl package is loaded, which produces figures such as: (Image: subet3)","category":"page"},{"location":"man/TASclassification/#TAS-rock-classification","page":"TAS classification","title":"TAS rock classification","text":"","category":"section"},{"location":"man/TASclassification/#Methods","page":"TAS classification","title":"Methods","text":"","category":"section"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"When doing coupled petrological-geodynamic modelling, the evolution of the composition of the magma is more easily understood when a rock type is given. This routine is an implementation of the TAS diagram (Total Alkali (TA) vs Silica (S)) from Le Maitre et al., 2002.","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.TASclassificationData","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.TASclassificationData","page":"TAS classification","title":"GeoParams.TASclassification.TASclassificationData","text":"TASclassificationData\n\nStruct that holds default parameters for the TAS diagram\n\n\n\n\n\n","category":"type"},{"location":"man/TASclassification/#Computational-routine","page":"TAS classification","title":"Computational routine","text":"","category":"section"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"There is one routine with which you can retrieve the index of the TAS rock-type. The routine receives as an input a compositional vector [SiO2,Na2O+K2O] in wt% and sends back an index [1-15].","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.computeTASclassification","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.computeTASclassification","page":"TAS classification","title":"GeoParams.TASclassification.computeTASclassification","text":"classIndex computeTASclassification(chemComp::AbstractArray{_T,N}, ClassTASdata::TASclassificationData)\n\nThis compute the classification of the igneous rock using TAS diagram (Total Alkali (TA) vs Silica (S)).\n\nInput:\n\nchemComp : vector rock composition in oxide wt%\n\nOutput:\n\nclassIndex : an integer [0-14] corresponding to a TAS field (TASclassificationData.litho[classIndex])\n\nThis routine was developed based the TAS classification of Le Maitre et al., 2002\n\n\n\n\n\n","category":"function"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"Using the index of the rock-type you can get the name of the corresponding volcanic rock using the following routine.","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.retrieveTASrockType","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.retrieveTASrockType","page":"TAS classification","title":"GeoParams.TASclassification.retrieveTASrockType","text":"retrieveTASrockType(index::Int64; ClassTASdata::TASclassificationData = TASclassificationData())\n\nThis retrieves the name of the volcanic rock-type using the computed index\n\nInput:\n\nindex : integer [1-15]\n\nOutput:\n\nlitho : a string of the name of corresponding volcanic rock\n\n\n\n\n\n","category":"function"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"We also provide a plotting routine, provided the GLMakie.jl package is loaded, which produces figures such as: (Image: subet3)","category":"page"},{"location":"man/radioactiveheating/#Radioactive-heat","page":"Radioactive heat","title":"Radioactive heat","text":"","category":"section"},{"location":"man/radioactiveheating/#Methods","page":"Radioactive heat","title":"Methods","text":"","category":"section"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"Radioactive heat sources are defined as ","category":"page"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat\nGeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat\n","category":"page"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","text":"ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)\n\nSet a constant radioactive heat:\n\n    H_r  = cst\n\nwhere H_r is the radioactive heat source [Wattm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat","text":"ExpDepthDependent(H_0=1e-6Watt/m^3, h_r=10e3m, z_0=0m)\n\nSets an exponential depth-dependent radioactive \n\n    H_r  = H_0 exp left( - (z - z_0) over h_r right)\n\nwhere H_0 is the radioactive heat source [Wattm^3] at z=z_0 which decays with depth over a characteristic distance h_r.\n\n\n\n\n\n","category":"type"},{"location":"man/radioactiveheating/#Computational-routines","page":"Radioactive heat","title":"Computational routines","text":"","category":"section"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"To compute, use this:","category":"page"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat\nGeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat!","category":"page"},{"location":"man/tables/#Tables","page":"Tables","title":"Tables","text":"","category":"section"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"There are two different formats of output tables that can be produced:","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"LaTeX (always comes with \"References.bib\" for citations)\nMarkdown","category":"page"},{"location":"man/tables/#Producing-output-table","page":"Tables","title":"Producing output table","text":"","category":"section"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"ParameterTable() is used to produce an output table of all the material parameters in your phase(s) in LaTeX or Markdown format. All you need is a dimensional phase as defined in section 2. Material Parameters in the README.md of GeoParams. This phase should be given to ParameterTable as first argument. There are optional arguments which can be given in ParameterTable. Those are format, filename and rdigits. The format keyword determines whether your table should be in LaTeX or Markdown format (should be given as string). filename determines the name of the file but can also be used to save the file in a different directory other than the GeoParams package directory (should be given as string, note: no file endings needed since they will be determined by the format keyword!). rdigits gives the numbers of decimals to which all parameter values will be rounded (should be given as integer).","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"Example 1:","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"julia> MatParam = SetMaterialParams(Name=\"Viscous Matrix\", Phase=1,\n                                     Density   = ConstantDensity(),\n                                     CreepLaws = LinearViscous(η=1e23Pa*s))\n\njulia> ParameterTable(MatParam, format=\"tex\", filename=\"ParameterTable\", rdigits=4)","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"(Image: latex)","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"Example 2:","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"julia> ParameterTable(MatParam, format=\"md\", filename=\"ParameterTable\", rdigits=4)","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"(Image: markdown)","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"GeoParams.ParameterTable\nGeoParams.Phase2Dict\nGeoParams.Phase2DictMd\nGeoParams.Dict2LatexTable\nGeoParams.Dict2MarkdownTable\nGeoParams.detachFloatfromExponent","category":"page"},{"location":"man/tables/#GeoParams.Tables.ParameterTable","page":"Tables","title":"GeoParams.Tables.ParameterTable","text":"ParameterTable() creates a table with all parameters saved in the Phase struct. It lets you choose between \"latex\" and \"markdown\" as table formats with LaTeX as default. Creates a filename.tex or filename.md file as output. If \"latex\" is chosen a \"Reference.bib\" file will automatically be produced with all your references. Storage path by default is the GeoParams package folder. A specific storage path can be given as normal path with \"\\filename\" in the end as a string. Use double backslash for subfolders. There is no file extension needed to be given.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.Phase2Dict","page":"Tables","title":"GeoParams.Tables.Phase2Dict","text":"Phase2Dict() puts all parameters of a phase s in a dict.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.Phase2DictMd","page":"Tables","title":"GeoParams.Tables.Phase2DictMd","text":"Phase2DictMd() puts all parameters of a phase in a dict.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.Dict2LatexTable","page":"Tables","title":"GeoParams.Tables.Dict2LatexTable","text":"Dict2LatexTable() writes a .tex file with all parameters from the Phase2Dict() output in a LaTeX table. rdigits will round numbers with more decimals than rdigits including numbers of 10 to power of n, n being an Integer, for representation purposes. For the exact numbers use the original implemented numbers from the creeplaws of the dict in src/CreepLaw/Data/DiffusionCreep.jl or src/CreepLaw/Data/DislocationCreep.jl.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.Dict2MarkdownTable","page":"Tables","title":"GeoParams.Tables.Dict2MarkdownTable","text":"Dict2MarkdownTable() writes a .md file with all parameters from the Phase2DictMd() output in a Markdown table. rdigits will round numbers with more decimals than rdigits including numbers of 10 to power of n, n being an Integer, for representation purposes. For the exact numbers use the original implemented numbers from the creeplaws of the dict in src/CreepLaw/Data/DiffusionCreep.jl or src/CreepLaw/Data/DislocationCreep.jl.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.detachFloatfromExponent","page":"Tables","title":"GeoParams.Tables.detachFloatfromExponent","text":"detachFloatfromExponent() returns the number of float decimals after the comma as Integer, the float number without the exponent as string  and the exponent after the \"e\" as string. The argument output returns \"1\" for \"ex\" if the input number has no exponent.\n\n\n\n\n\n","category":"function"},{"location":"man/listfunctions/#List-of-all-functions","page":"List of functions","title":"List of all functions","text":"","category":"section"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity","page":"Seismic Velocity","title":"Seismic velocity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"Seismic velocity can specified in a number of ways","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","text":"ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)\n\nSet a constant seismic P and S-wave velocity:\n\n    V_p = cst\n\n    V_s = cst\n\nwhere V_p V_s are the P-wave and S-wave velocities [kms].\n\n\n\n\n\n","category":"type"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.","category":"page"},{"location":"man/seismicvelocity/#Computational-routines","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To evaluate seismic velocity within a user routine, use this:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.compute_swave_velocity!\nGeoParams.compute_pwave_velocity!\nGeoParams.compute_pwave_velocity\nGeoParams.compute_swave_velocity","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity-correction-for-partial-melt","page":"Seismic Velocity","title":"Seismic velocity correction for partial melt","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-2","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"The routine uses the reduction formulation of Clark et al., (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-2","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute melt-content based correction for seismic waves velocities, you can use:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.melt_correction","category":"page"},{"location":"man/seismicvelocity/#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity","page":"Seismic Velocity","title":"Seismic S-wave velocity correction for (shallow depth) porosity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-3","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"This routine is based on the equilibrium geometry model for the solid skeleton of Takei et al. (1998) and the porosity-depth empirical relationship of Chen et al. (2020)","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-3","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute porosity based correction for seismic S-wave velocity, you can use:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.porosity_correction","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity-correction-for-anelasticity","page":"Seismic Velocity","title":"Seismic velocity correction for anelasticity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-4","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"The routine uses the reduction formulation of karato (1993), using the quality factor formulation from Behn et al. (2009)","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-4","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute a correction of S-wave velocity for anelasticity, use this:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.anelastic_correction","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction","text":"    Vs_anel = anelastic_correction(water::Int64, Vs0::Float64,P::Float64,T::Float64)\n\nThis routine computes a correction of S-wave velocity for anelasticity\n\nInput:\n\nwater: water flag, 0 = dry; 1 = dampened; 2 = water saturated \nVs0  : S-wave velocitiy of the solid phase (with or without melt correction)\nP    : pressure given in Pa\nT    : temperature given in °K\n\nOutput:\n\nVs_anel : corrected S-wave velocity for anelasticity\n\nThe routine uses the reduction formulation of Karato (1993), using the quality factor formulation from Behn et al. (2009)\n\nReferences:\n\nKarato, S. I. (1993). Importance of anelasticity in the interpretation of seismic tomography. Geophysical research letters, 20(15), 1623-1626.\nBehn, M. D., Hirth, G., & Elsenbeck II, J. R. (2009). Implications of grain size evolution on the seismic structure of the oceanic upper mantle. Earth and Planetary Science Letters, 282(1-4), 178-189.\n\n\n\n\n\n","category":"function"},{"location":"man/plasticity/#Plasticity","page":"Plasticity","title":"Plasticity","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"Plasticity is a non-linear rheology that is activated once stresses exceed a certain yield criteria.","category":"page"},{"location":"man/plasticity/#Implemented-laws","page":"Plasticity","title":"Implemented laws","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"The following plastic law are implemented:","category":"page"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"GeoParams.MaterialParameters.Plasticity.DruckerPrager\nGeoParams.MaterialParameters.Plasticity.DruckerPrager_regularised","category":"page"},{"location":"man/plasticity/#Computational-routines","page":"Plasticity","title":"Computational routines","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"Usually, plasticity should be defined as part of a CompositeRheology structure and calculations can be done as with all other rheology computations by using compute_τII.","category":"page"},{"location":"man/plotting/#Plotting","page":"Plotting","title":"Plotting","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"We provide a number of plotting routines. Note that these plotting routines only become available once the GLMakie package is loaded.","category":"page"},{"location":"man/plotting/#Plot-CreepLaws","page":"Plotting","title":"Plot CreepLaws","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"GeoParams.PlotStressStrainrate_CreepLaw\nGeoParams.PlotHeatCapacity\nGeoParams.PlotConductivity\nGeoParams.PlotMeltFraction\nGeoParams.PlotPhaseDiagram\nGeoParams.PlotDeformationMap","category":"page"},{"location":"man/plotting/#GeoParams.PlotHeatCapacity","page":"Plotting","title":"GeoParams.PlotHeatCapacity","text":"T,Cp,plt = PlotHeatCapacity(cp::AbstractHeatCapacity; T=nothing, plt=nothing, lbl=nothing)\n\nCreates a plot of temperature T vs. heat capacity, as specified in cp (which can be temperature-dependent).\n\nOptional parameters\n\nT: temperature range\nplt: a previously generated plotting object\nlbl: label of the curve\n\nExample\n\njulia> cp = T_HeatCapacity_Whittacker()\njulia> T,Cp,plt = PlotHeatCapacity(cp)\n\nyou can now save the figure to disk with:\n\njulia> using Plots\njulia> savefig(plt,\"Tdependent_heatcapacity.png\")\n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#GeoParams.PlotConductivity","page":"Plotting","title":"GeoParams.PlotConductivity","text":"T,Kk,plt = PlotConductivity(cp::AbstractConductivity; T=nothing, plt=nothing, lbl=nothing)\n\nCreates a plot of temperature T vs. thermal conductivity, as specified in k (which can be temperature-dependent).\n\nOptional parameters\n\nT: temperature range\nplt: a previously generated plotting object\nlbl: label of the curve\n\nExample\n\njulia> k = T_Conductivity_Whittacker()\njulia> T,KK,plt = PlotConductivity(k)\n\nyou can now save the figure to disk with:\n\njulia> using Plots\njulia> savefig(plt,\"Tdependent_conductivity.png\")\n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#GeoParams.PlotPhaseDiagram","page":"Plotting","title":"GeoParams.PlotPhaseDiagram","text":"plt, data, Tvec, Pvec = PlotPhaseDiagram(p::PhaseDiagram_LookupTable; fieldname::Symbol, Tvec=nothing, Pvec=nothing)\n\nPlots a phase diagram as a function of T (x-axis) and P (y-axis). We either use the default ranges of the diagram, or you can specify the temperature and pressure ranges (while specifying units). The return arguments are the plotting object plt (so you can modify properties) as well as the data that is being plotted\n\nExample\n\njulia> PD_data =  Read_LaMEM_Perple_X_Diagram(\"Peridotite.in\")\nPerple_X/LaMEM Phase Diagram Lookup Table:\n                      File    :   Peridotite.in\n                      T       :   293.0 - 1573.000039\n                      P       :   1.0e7 - 2.9999999944e9\n                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp\n                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs\n                                  :Vp, :Vs, :VpVs, :cpxFrac\njulia> PlotPhaseDiagram(PD_data,:meltFrac, Tvec=(100:1:1400).*C, Pvec=(.1:.1:30).*kbar )\n\nThis will generate the following plot (Image: subet2)\n\nYou can also use the default pressure/temperature ranges in the diagrams:\n\njulia> PlotPhaseDiagram(PD_data,:Rho)\n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#GeoParams.PlotDeformationMap","page":"Plotting","title":"GeoParams.PlotDeformationMap","text":"fig = PlotDeformationMap(v;    args=(P=0.0, d=1e-3, f=1.0),\n                            σ = (1e-2, 1e8),                # in MPa\n                            T = (10, 1000),                 # in C\n                            ε = (1e-22, 1e-8),              # in 1/s\n                            n = 400,                        # number of points\n                            rotate_axes = false,            # flip x & y axes\n                            strainrate = true,              # strainrate (otherwise stress)\n                            viscosity = false,              # plot viscosity instead of strainrate/stress\n                            boundaries = true,              # plot deformation boundaries\n                            levels = 20,                    # number of contour levels\n                            colormap=:viridis,              # colormap\n                            filename=nothing,               # if you want to save this to file\n                            fontsize=40,                    # fontsize of labels\n                            res=(1200, 900))                # resolution in pixels\n\nCreates a deformation mechanism map (T/εII vs. stress/viscosity or T/τII vs. strainrate/viscosity) for given (composite) rheology v\n\nExample\n\njulia> v1 = SetDiffusionCreep(\"Dry Anorthite | Rybacki et al. (2006)\")\njulia> v2 = SetDislocationCreep(\"Dry Anorthite | Rybacki et al. (2006)\")\njulia> v=CompositeRheology(v1,v2)\njulia> PlotDeformationMap(v, levels=100, colormap=:roma)\n\nNext, let's plot viscosity and flip x & y axis:\n\njulia> PlotDeformationMap(v, viscosity=true, rotate_axes=true)\n\nInstead of plotting stress vs. T and computing strainrate, we can also provide strainrate/T and compute stress:\n\njulia> PlotDeformationMap(v, strainrate=false)\n\nOr plot viscosity but only add contours in a certain range:\n\njulia> PlotDeformationMap(v,  strainrate=false, viscosity=true, levels=Vector(18:.25:24))\n\n\n\n\n\n","category":"function"},{"location":"man/geounit/#GeoUnit","page":"GeoUnit","title":"GeoUnit","text":"","category":"section"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Most parameters have physical units (100km, 9.81 ms⁻²). Yet, within numerical solvers it is usually not a good idea to compute with the actual SI units as they (at least in geosciences) tend to result in very large/small numbers, which can cause in roundoff errors.  Therefore, we usually convert the dimensional units into non-dimensional ones befeore starting computations. The results can than be converted back to more convenient units for us when we generate the output (plots, for example).","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"This requires a way to store the dimensions of a parameter, but also, once they are made nondimensional, the original units (otherwise we can't convert them back to dimensional values).","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"For that reason, we use the GeoUnit structure, defined as ","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"struct GeoUnit{T,U}\n    val          :: T\n    unit         :: U\n    isdimensional:: Bool\nend","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"You can define a GeoUnit as:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> a = GeoUnit(100km)\nGeoUnit{dimensional, km}, \n100.0\njulia> b=GeoUnit(100s)\nGeoUnit{dimensional, s}, \n100.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Dividing the two gives the expected result","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> c=a/b\nGeoUnit{dimensional, km s⁻¹·⁰}, \n1.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Can also be a vector:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> T = GeoUnit(100K:10.0K:1000K)\nGeoUnit{dimensional, K}, \n100.0:10.0:1000.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"The numerical value is obtained with:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> NumValue(c)\n1.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"It's unit with","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> Unit(c)\nkm s⁻¹·⁰","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"and the value with unit with","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> Value(c)\n1.0 km s⁻¹·⁰","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"If you multiply or divide a GeoUnit with a normal number, we assume that you are no longer interested in the units and you'll get a Float64:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> c*100\n100.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"The value of the GeoUnit struct becomes clear once we non-dimensionalize it (as explained in more detail in a separate page). For that, first specify which characteristic values you want to use for non-dimensionalisation: ","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> CharDim = GEO_units(length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas);","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Let's define a stress:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> σ=GeoUnit(10MPa)\nGeoUnit{dimensional, MPa}, \n10.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"And transfer it to nondimensional units:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> σ_nd = nondimensionalize(σ,CharDim)\nGeoUnit{nondimensional, MPa}, \n0.9999999999999998","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Instead of 1e7 Pa, we now have 1.0; yet at the same time we know that the original unit of σ_nd was in MPa, which allows to transfer it back to dimensional units:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> dimensionalize(σ_nd,CharDim)\nGeoUnit{dimensional, MPa}, \n10.0","category":"page"},{"location":"man/creeplaws/#CreepLaws","page":"Creep laws","title":"CreepLaws","text":"","category":"section"},{"location":"man/creeplaws/#Implemented-creep-laws","page":"Creep laws","title":"Implemented creep laws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"The following viscous creep laws are implemented:","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"GeoParams.LinearViscous\nGeoParams.PowerlawViscous\nGeoParams.DislocationCreep\nGeoParams.SetDislocationCreep\nGeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep\nGeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous","text":"LinearViscous(η=1e20Pa*s)\n\nDefines a linear viscous creeplaw \n\nThe (isotopic) linear viscous rheology is given by  \n\n    tau_ij = 2 eta dotvarepsilon_ij \n\nor\n\n    dotvarepsilon_ij  = tau_ij  over 2 eta \n\nwhere eta_0 is the reference viscosity [Pa*s] at reference strain rate dotvarepsilon_0[1/s], and n the power law exponent []. \n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous","text":"PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)\n\nDefines a power law viscous creeplaw as: \n\n    tau_ij^n  = 2 eta_0 left( dotvarepsilon_ij over dotvarepsilon_0 right)\n\nwhere eta is the effective viscosity [Pa*s].\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep","text":"DislocationCreep(n = 1.0NoUnits, r = 0.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )\n\nDefines the flow law parameter of a dislocation creep law.\n\nThe (isotropic) dislocation creep law, as used by experimentalists, is given by  \n\n     dotgamma = A sigma_mathrmd^n f_mathrmH2O^r expleft(-fracE+PVRTright)\n\nwhere \n\nn is the power law exponent  \nr is the exponent of fugacity dependence \nA is a pre-exponential factor mathrmMPa^-ns^-1 (if manually defined, n and r must be either pre-defined or substituted) \nE is the activation energy mathrmkJmol \nV is the activation volume mathrmm^3mol \ndotgamma is the strain rate mathrm1s \nsigma_mathrmd is the differential stress mathrmMPa which are converted into second invariants using the Apparatus variable that can be\n\neither AxialCompression, SimpleShear or Invariant. If the flow law parameters are already given as a function of second invariants, choose Apparatus=Invariant.\n\nExample\n\njulia> x2 = DislocationCreep(n=3)\nDislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.SetDislocationCreep","text":"SetDislocationCreep[\"Name of Dislocation Creep\"]\n\nSets predefined dislocation creep data from a dictionary\n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep","text":"DiffusionCreep(r = 0NoUnits, p = A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )\n\nDefines the flow law parameter of a dislocation creep law.\n\nThe (isotropic) diffusion creep law, as used by experimentalists, is given by  \n\n     dotgamma = A sigma_mathrmd d^mathrmp f_mathrmH2O^r expleft(-fracE+PVRTright)\n\nwhere \n\nr is the exponent of fugacity dependence \np is the exponent of grain size\nA is a pre-exponential factor mathrmMPa^-ns^-1 (if manually defined, n and r must be either pre-defined or substituted) \nE is the activation energy mathrmkJmol \nV is the activation volume mathrmm^3mol \ndotgamma is the strain rate mathrm1s \nsigma_mathrmd is the differential stress mathrmMPa\n\nThe experimental parameters are converted into second invariants using the Apparatus variable that can be either AxialCompression, SimpleShear or Invariant. If the flow law parameters are already given as a function of second invariants, choose Apparatus=Invariant.\n\nExample\n\njulia> x2 = DiffusionCreep(Name=\"test\")\nDiffusionCreep: Name = test, n=1.0, r=0.0, p=-3.0, A=1.5 m³·⁰ MPa⁻¹·⁰ s⁻¹·⁰, E=500.0 kJ mol⁻¹·⁰, V=2.4e-5 m³·⁰ mol⁻¹·⁰, FT=1.7320508075688772, FE=1.1547005383792517)\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","text":"SetDiffusionCreep[\"Name of Diffusion Creep\"]\n\nThis is a dictionary with pre-defined creep laws    \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#Computational-routines-for-creep-laws","page":"Creep laws","title":"Computational routines for creep laws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"Once a creep rheology is defined, we can use the following routines to perform computations within the solvers","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"CreepLawVariables\nGeoParams.compute_εII\nGeoParams.compute_εII!\nGeoParams.compute_τII\nGeoParams.compute_τII!\nGeoParams.CorrectionFactor\nGeoParams.RemoveTensorCorrection","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII","text":"compute_εII(a::DiffusionCreep, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)\n\nReturns diffusion creep strainrate as a function of 2nd invariant of the stress tensor tau_II \n\n    dotε_II = A τ_II^n d^p f_H_2O^r exp left(- E + PV over RT right)\n\n\n\n\n\ncompute_εII(a::GrainBoundarySliding, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)\n\nReturns grain boundary sliding strainrate as a function of 2nd invariant of the stress tensor tau_II \n\n    dotε_II = A τ_II^n d^p exp left(- E + PV over RT right)  ÄNDERN\n\n\n\n\n\ncompute_εII(s::ConstantElasticity{_T}, τII; τII_old, dt)\n\nComputes elastic strainrate given the deviatoric stress at the current (τII) and old timestep (τII_old), for a timestep dt:\n\n    dotvarepsilon^el = 1 over 2 G D tau_II over Dt   1 over 2 G tau_II- tildetau_II^old over dt \n\nNote that we here solve the scalar equation, which is sufficient for isotropic cases. In tensor form, it would be\n\n    dotvarepsilon^el_ij = 1 over 2 G  tau_ij - tildetau_ij^old over dt \n\nhere tildetau_ij^old is the rotated old deviatoric stress tensor to ensure objectivity (this can be done with Jaumann derivative, or also by using the full rotational formula).\n\n\n\n\n\ncompute_εII(p::DruckerPrager{_T,U,U1}, λdot::_T, τII::_T,  P)\n\nThis computes plastic strain rate invariant for a given λdot\n\n\n\n\n\ncompute_εII(p::DruckerPrager_regularised{_T,U,U1}, λdot::_T, τII::_T,  P)\n\nThis computes plastic strain rate invariant for a given λdot\n\n\n\n\n\ncompute_εII(v::Parallel{T,N}, τII, args; tol=1e-6, verbose=false, n=1)\n\nComputing εII as a function of τII for a Parallel elements is (usually) a nonlinear problem\n\n\n\n\n\ncompute_εII(v::CompositeRheology{T,N}, τII, args; tol=1e-6, verbose=false, n=1)\n\nComputing εII as a function of τII for a composite element is the sum of the individual contributions\n\n\n\n\n\ncompute_εII(v::AbstractPlasticity, τII::_T, args; tol=1e-6, verbose=true)\n\nPerforms local iterations to compute the plastic strainrate. Note that the non-plastic strainrate, ε_np, should be part of args\n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!","text":"compute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)\n\nComputes strainrate as a function of stress\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)\n\nComputes strainrate as a function of stress\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, s::LinearViscous, TauII::AbstractArray{_T,N})\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, s::ArrheniusType, TauII::AbstractArray{_T,N})\n\n\n\n\n\ncompute_εII!(ε_el::AbstractArray{_T,N}, s::ConstantElasticity{_T}; τII::AbstractArray{_T,N}, τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)\n\nIn-place computation of the elastic shear strainrate for given deviatoric stress invariants at the previous (τII_old) and new (τII) timestep, as well as the timestep dt  \n\n    dotvarepsilon^el = 1 over 2 G D tau_II over Dt   1 over 2 G tau_II- tau_II^old over dt \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII","text":"compute_τII(a::DislocationCreep, EpsII; P, T, f, args...)\n\nComputes the stress for a Dislocation creep law given a certain strain rate\n\n\n\n\n\ncomputeCreepLaw_TauII(EpsII::_T, a::DiffusionCreep; T::_T, P=zero(_T), f=one(_T), d=one(_T), kwargs...)\n\nReturns diffusion creep stress as a function of 2nd invariant of the strain rate \n\n\n\n\n\ncomputeCreepLaw_TauII(EpsII::_T, a::GrainBoundarySliding; T::_T, P=zero(_T), d=one(_T), kwargs...)\n\nReturns grain boundary sliding stress as a function of 2nd invariant of the strain rate \n\n\n\n\n\ncompute_τII(a::PeierlsCreep, EpsII; P, T, f, args...)\n\nComputes the stress for a peierls creep law given a certain strain rate.\n\n\n\n\n\ncompute_τII(s::LinearViscous, EpsII; kwargs...)\n\nReturns second invariant of the stress tensor given a 2nd invariant of strain rate tensor \n\n\n\n\n\ncompute_τII(s::ArrheniusType, EpsII; kwargs...)\n\nReturns second invariant of the stress tensor given a 2nd invariant of strain rate tensor \n\n\n\n\n\nτII = compute_τII(v::CompositeRheology{T,N}, εII, args; tol=1e-6, verbose=false)\n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!","text":"compute_τII!(TauII::AbstractArray{_T,N}, a::DislocationCreep, EpsII::AbstractArray{_T,N}; \n    P =       zero(TauII)::AbstractArray{_T,N}, \n    T = ones(size(TauII))::AbstractArray{_T,N}, \n    f = ones(size(TauII))::AbstractArray{_T,N})\n\nComputes the deviatoric stress invariant for a dislocation creep law\n\n\n\n\n\ncompute_τII!(TauII::AbstractArray{_T,N}, a::PeierlsCreep, EpsII::AbstractArray{_T,N}; \n    T = ones(size(TauII))::AbstractArray{_T,N}, args...)\n\nComputes the deviatoric stress invariant for a peierls creep law.\n\n\n\n\n\ncompute_τII!(τII::AbstractArray{_T,N}, s::ConstantElasticity{_T}. ε_el::AbstractArray{_T,N}; τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)\n\nIn-place update of the elastic stress for given deviatoric strainrate invariants and stres invariant at the old (τII_old) timestep, as well as the timestep dt  \n\n    tau_II = 2 G dt dotvarepsilon^el + tau_II^old\n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#Heat-capacity","page":"Heat Capacity","title":"Heat capacity","text":"","category":"section"},{"location":"man/heatcapacity/#Methods","page":"Heat Capacity","title":"Methods","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"Heat capacity is defined as ","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity\nGeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","text":"ConstantHeatCapacity(cp=1050J/mol/kg)\n\nSet a constant heat capacity:\n\n    cp  = cst\n\nwhere cp is the thermal heat capacity [JkgK].\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","text":"T_HeatCapacity_Whittington()\n\nSets a temperature-dependent heat capacity following the parameterization of Whittington et al. (2009), Nature:\n\n    Cp = (a + b T - cT^2)m \n\nwhere Cp is the heat capacity [JkgK], and abc are parameters that dependent on the temperature T:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nmolmass =   0.22178kg/mol \n\nNote that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than JmolK as in eq.3/4 of the paper)\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#Computational-routines","page":"Heat Capacity","title":"Computational routines","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"To compute, use this:","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity\nGeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","text":"Cp = compute_heatcapacity(s:<AbstractHeatCapacity, P, T)\n\nReturns the heat capacity Cp at any temperature T and pressure P using any of the heat capacity laws implemented.\n\nCurrently available:\n\nConstantHeatCapacity\nT_HeatCapacity_Whittington\n\nExample\n\nUsing dimensional units\n\njulia> T  = (250:100:1250)*K;\njulia> cp = T_HeatCapacity_Whittington()\njulia> Cp = ComputeHeatCapacity(0,T,cp)\n11-element Vector{Unitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:\n  635.4269997294616 J kg⁻¹ K⁻¹\n  850.7470171764261 J kg⁻¹ K⁻¹\n  962.0959598489883 J kg⁻¹ K⁻¹\n 1037.5420433770641 J kg⁻¹ K⁻¹\n 1097.3517921966488 J kg⁻¹ K⁻¹\n 1149.2745563671706 J kg⁻¹ K⁻¹\n 1157.7915050948404 J kg⁻¹ K⁻¹\n 1172.3554874197264 J kg⁻¹ K⁻¹\n 1186.9194697445964 J kg⁻¹ K⁻¹\n  1201.483452069455 J kg⁻¹ K⁻¹\n 1216.0474343943067 J kg⁻¹ K⁻¹\n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","text":"compute_heatcapacity!(Cp::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat})\n\nIn-place computation of heat capacity Cp for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#Melting-Parameterizations","page":"Partial Melting","title":"Melting Parameterizations","text":"","category":"section"},{"location":"man/melting/#Methods","page":"Partial Melting","title":"Methods","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"A number of melting parameterisations are implemented, which can be set with:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.MeltingParam_Caricchi\nGeoParams.MeltingParam.MeltingParam_5thOrder\nGeoParams.MeltingParam.MeltingParam_4thOrder\nGeoParams.MeltingParam.MeltingParam_Quadratic\nGeoParams.MeltingParam.MeltingParam_Assimilation\nGeoParams.MeltingParam.SmoothMelting","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Caricchi","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Caricchi","text":"MeltingParam_Caricchi()\n\nImplements the T-dependent melting parameterisation used by Caricchi, Simpson et al. (as for example described in Simpson)\n\n    theta = (a - (T + c)) over b\n\n    phi_melt = 10 over (10 + e^theta)\n\nNote that T is in Kelvin. As default parameters we employ:\n\nb=23K  a=800K  c=27315K\n\nWhich gives a reasonable fit to experimental data of granodioritic composition (Piwinskii and Wyllie, 1968):\n\n(Image: MeltParam_Carrichi)\n\nReferences\n\nSimpson G. (2017) Practical finite element modelling in Earth Sciences Using MATLAB.\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_5thOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_5thOrder","text":"MeltingParam_5thOrder(a,b,c,d,e,f,T_s,T_l)\n\nUses a 5th order polynomial to describe the melt fraction phi between solidus temperature T_s and liquidus temperature T_l\n\n    phi = a T^5 + b T^4 + c T^3 + d T^2 + e T + f  textrm   for    T_s  T  T_l\n\n    phi = 1  textrm   if    TT_l\n\n    phi = 0  textrm   if    TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_5thOrder)\n\nThe default values are for a composite liquid-line-of-descent:\n\nthe upper part is for Andesite from: (Blatter, D. L. & Carmichael, I. S. (2001) Hydrous phase equilibria of a Mexican highsilica andesite: a candidate for a mantle origin? Geochim. Cosmochim. Acta 65, 4043–4065\nthe lower part is extrapolated to the granitic minimum using the Marxer & Ulmer LLD for Andesite (Marxer, F. & Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. Contributions Mineral. Petrol. 174, 84)\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_4thOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_4thOrder","text":"MeltingParam_4thOrder(b,c,d,e,f,T_s,T_l)\n\nUses a 4th order polynomial to describe the melt fraction phi between solidus temperature T_s and liquidus temperature T_l\n\n    phi = b T^4 + c T^3 + d T^2 + e T + f  textrm   for    T_s  T  T_l\n\n    phi = 1 textrm   if    TT_l\n\n    phi = 0  textrm   if    TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_4thOrder)\n\nThe default values are for Tonalite experiments from Marxer and Ulmer (2019):\n\nMarxer, F. & Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. Contributions Mineral. Petrol. 174, 84\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Quadratic","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Quadratic","text":"MeltingParam_Quadratic(T_s,T_l)\n\nQuadratic melt fraction parameterisation where melt fraction phi depends only on solidus (T_s) and liquidus (T_l) temperature:\n\n    phi = 10 - left( T_l - T over T_l - T_s right)^2\n\n    phi = 10 textrm if  TT_l\n\n    phi = 00 textrm if  TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_Quadratic)\n\nThis was used, among others, in Tierney et al. (2016) Geology\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Assimilation","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Assimilation","text":"MeltingParam_Assimilation(T_s,T_l,a)\n\nMelt fraction parameterisation that takes the assimilation of crustal host rocks into account, as used by Tierney et al. (2016) based upon a parameterisation of Spera and Bohrson (2001)\n\nHere, the fraction of molten and assimilated host rocks phi depends on the solidus (T_s) and liquidus (T_l) temperatures of the rocks, as well as on a parameter a=0005\n\n    X = left( T - T_s over T_l - T_s right)\n\n    phi = a cdot left( exp^2ln(100)X - 10 right) textrm if  X  05\n\n    phi = 1- a cdot exp^2ln(100)(1-X)  textrm if  X  05\n\n    phi = 10 textrm if  TT_l\n\n    phi = 00 textrm if  TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_Assimilation)\n\nThis was used, among others, in Tierney et al. (2016), who employed as default parameters:\n\n   T_s=97315 T_l=117315 a=0005\n\nReferences\n\nSpera, F.J., and Bohrson, W.A., 2001, Energy-Constrained Open-System Magmatic Processes I: General Model and Energy-Constrained Assimilation and Fractional Crystallization (EC- AFC) Formulation: Journal of Petrology, v. 42, p. 999–1018.\nTierney, C.R., Schmitt, A.K., Lovera, O.M., de Silva, S.L., 2016. Voluminous plutonism during volcanic quiescence revealed by thermochemical modeling of zircon. Geology 44, 683–686. https://doi.org/10.1130/G37968.1\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.SmoothMelting","page":"Partial Melting","title":"GeoParams.MeltingParam.SmoothMelting","text":"SmoothMelting(; p=MeltingParam_4thOrder(), k_sol=0.2/K,  k_liq=0.2/K)\n\nThis smoothens the melting parameterisation p around the solidus T_sol and liquidus T_liq using a smoothened Heaviside step functions for the solidus:\n\n    H_sol =  10 over  1 + exp( -2 k_sol (T - T_sol - 2 over k_sol) )  \n\nand liquidus:\n\n    H_liq =  10 - 10 over  1 + exp( -2 k_liq (T - T_liq + 2 over k_liq) )  \n\nThe resulting melt fraction phi is computed from the original melt fraction phi_0 (computed using one of the methods above) as:\n\n    phi =  phi_0 H_sol H_liq + 10 - H_liq\n\nThe width of the smoothening zones is controlled by k_sol k_liq (larger values = sharper boundary).\n\nThis is important, as jumps in the derivative dϕdT can cause numerical instabilities in latent heat computations, which is prevented with this smoothening.\n\nExample\n\nLet's consider a 4th order parameterisation:\n\njulia> using GLMakie, GeoParams\njulia> p = MeltingParam_4thOrder();\njulia> T= collect(650.0:1:1050.) .+ 273.15;\njulia> T,phi,dϕdT =  PlotMeltFraction(p,T=T);\n\nThe same but with smoothening:\n\njulia> p_s = SmoothMelting(p=MeltingParam_4thOrder(), k_liq=0.21/K);\n4th order polynomial melting curve: phi = -7.594512597174117e-10T^4 + 3.469192091489447e-6T^3 + -0.00592352980926T^2 + 4.482855645604745T + -1268.730161921053  963.15 K ≤ T ≤ 1270.15 K with smooth Heaviside function smoothening using k_sol=0.1 K⁻¹·⁰, k_liq=0.11 K⁻¹·⁰\njulia> T_s,phi_s,dϕdT_s =  PlotMeltFraction(p_s,T=T);\n\nWe can create plots of this with:\n\njulia> plt1 = plot(T.-273.15, phi, ylabel=\"Melt Fraction ϕ\", color=:red, label=\"original\", xlabel=\"Temperature [C]\")\njulia> plt1 = plot(plt1, T.-273.15, phi_s,  color=:black, label=\"smoothened\", legend=:bottomright)\njulia> plt2 = plot(T.-273.15, dϕdT, ylabel=\"dϕ/dT\", color=:red, label=\"original\", xlabel=\"Temperature [C]\")\njulia> plt2 = plot(plt2, T.-273.15, dϕdT_s,  color=:black, label=\"smoothened\", legend=:topright)\njulia> plot!(plt1,plt2,   xlabel=\"Temperature [C]\", layout=(2,1))\n\nThe derivative no longer has a jump now:\n\n(Image: MeltingParam_Smooth)\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#Computational-routines","page":"Partial Melting","title":"Computational routines","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"To compute the melt fraction at given T and P, use:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.compute_meltfraction!\nGeoParams.MeltingParam.compute_meltfraction","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction!","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction!","text":"compute_meltfraction!(ϕ::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T:AbstractArray{<:AbstractFloat}, p::PhaseDiagram_LookupTable)\n\nIn-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified.\n\n\n\n\n\ncompute_meltfraction(ϕ::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction","text":"compute_meltfraction(P,T, p::AbstractPhaseDiagramsStruct)\n\nComputes melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified.\n\n\n\n\n\nϕ = compute_meltfraction(Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"You can also obtain the derivative of melt fraction versus temperature with (useful to compute latent heat effects):","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.compute_dϕdT!\nGeoParams.MeltingParam.compute_dϕdT","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.compute_dϕdT!","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_dϕdT!","text":"compute_dϕdT!(ϕ::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputates the derivative of melt fraction ϕ versus temperature T, partial phi over partial T for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays. This is employed, for example, in computing latent heat terms in an implicit manner.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#GeoParams.MeltingParam.compute_dϕdT","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_dϕdT","text":"compute_dϕdT(P,T, p::AbstractPhaseDiagramsStruct)\n\nComputes derivative of melt fraction vs T in case we use a phase diagram lookup table. The table should have the column :meltFrac specified. The derivative is computed by finite differencing.\n\n\n\n\n\nϕ = compute_dϕdT(Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputates the derivative of melt fraction ϕ versus temperature T for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays. This is employed in computing latent heat terms in an implicit manner, for example\n\n\n\n\n\n","category":"function"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"Also note that phase diagrams can be imported using PerpleX_LaMEM_Diagram, which may also have melt content information. The computational routines work with that as well.","category":"page"},{"location":"man/melting/#Plotting-routines","page":"Partial Melting","title":"Plotting routines","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"You can use the routine PlotMeltFraction to create a plot, provided that the GLMakie package has been loaded","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.PlotMeltFraction","category":"page"},{"location":"man/melting/#GeoParams.PlotMeltFraction","page":"Partial Melting","title":"GeoParams.PlotMeltFraction","text":"T,phi,plt = PlotMeltFraction(p::AbstractMeltingParam; T=nothing, plt=nothing, lbl=nothing)\n\nCreates a plot of temperature T vs. melt fraction, as specified in p. The 1D curve can be evaluated at a specific pressure P which can be given as a scalar or as an array of the same size as T\n\nOptional parameters\n\nT: temperature range\nP: pressure\nplt: a previously generated plotting object\nlbl: label of the curve\n\nExample\n\njulia> p          =  MeltingParam_Caricchi()\njulia> T,phi,dϕdT =  PlotMeltFraction(p)\n\nyou can now save the figure to disk with:\n\njulia> using Plots\njulia> savefig(plt,\"MeltFraction.png\")\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#D-Strength-envelope","page":"1D Strength Envelope","title":"1D Strength envelope","text":"","category":"section"},{"location":"man/strengthenvelope/","page":"1D Strength Envelope","title":"1D Strength Envelope","text":"We provide a routine for computing a 1D strength envelope and the tools for setting up a temperature structure and lithostatic pressure profile.","category":"page"},{"location":"man/strengthenvelope/","page":"1D Strength Envelope","title":"1D Strength Envelope","text":"GeoParams.ConstTemp\nGeoParams.LinTemp\nGeoParams.HalfspaceCoolTemp\nGeoParams.CompTempStruct\nGeoParams.LithPres\nGeoParams.StrengthEnvelopeComp\nGeoParams.StrengthEnvelopePlot\n![XMasTree](../assets/XMasTree.png)","category":"page"},{"location":"man/strengthenvelope/#GeoParams.ConstTemp","page":"1D Strength Envelope","title":"GeoParams.ConstTemp","text":"ConstTemp(T=1000)\n\nSets a constant temperature inside the box\n\nParameters:\n\nT : the value\n\n\n\n\n\n","category":"type"},{"location":"man/strengthenvelope/#GeoParams.LinTemp","page":"1D Strength Envelope","title":"GeoParams.LinTemp","text":"LinTemp(Ttop=0, Tbot=1000)\n\nSets a linear temperature structure from top to bottom\n\nParameters:\n\nTtop: the value @ the top\nTbot: the value @ the bottom\n\n\n\n\n\n","category":"type"},{"location":"man/strengthenvelope/#GeoParams.HalfspaceCoolTemp","page":"1D Strength Envelope","title":"GeoParams.HalfspaceCoolTemp","text":"HalfspaceCoolTemp(Tsurface=0, Tmantle=1350, Age=60, Adiabat=0)\n\nSets a halfspace temperature structure in plate\n\nParameters:\n\nTsurface: surface temperature [C]\nTmantle:  mantle temperature [C]\nAge:      Thermal Age of plate [Myrs]\nAdiabat:  Mantle Adiabat [K/km]\n\n\n\n\n\n","category":"type"},{"location":"man/strengthenvelope/#GeoParams.CompTempStruct","page":"1D Strength Envelope","title":"GeoParams.CompTempStruct","text":"CompTempStruct(Z, s::AbstractTempStruct)\n\nReturns a temperature vector that matches the coordinate vector and temperature structure that were passed in\n\nParameters:\n\nZ: vector with depth coordinates\ns: Temperature structure (CostTemp, LinTemp, HalfspaceCoolTemp)\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#GeoParams.LithPres","page":"1D Strength Envelope","title":"GeoParams.LithPres","text":"LithPres(MatParam, Phases, ρ, T, dz, g)\n\nIteratively solves a 1D lithostatic pressure profile (compatible with temperature- and pressure-dependent densities)\n\nParameters:\n\nMatParam: a tuple of materials (including the following properties: Phase, Density)\nPhases:   vector with the distribution of phases\nρ:        density vector for initial guess(can be zeros)\nT:        temperature vector\ndz:       grid spacing\ng:        gravitational acceleration\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#GeoParams.StrengthEnvelopeComp","page":"1D Strength Envelope","title":"GeoParams.StrengthEnvelopeComp","text":"StrengthEnvelopeComp(MatParam::NTuple{N, AbstractMaterialParamsStruct}, Thickness::Vector{U}, TempType::AbstractTempStruct=LinTemp(0C, 800C), ε=1e-15/s, nz::Int64=101) where {N, U}\n\nCalculates a 1D strength envelope. Pressure used for Drucker Prager plasticity is lithostatic. To visualize the results in a GUI, use StrengthEnvelopePlot.\n\nParameters:\n\nMatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)\nThickness: a vector listing the thicknesses of the respective layers (should carry units)\nTempType:  the type of temperature profile (ConstTemp(), LinTemp(), HalfspaceCoolTemp())\nε:         background strainrate\nnz:        optional argument controlling the number of points along the profile (default = 101)\n\nExample:\n\njulia> using GLMakie\njulia> MatParam = (SetMaterialParams(Name=\"UC\", Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(\"Wet Quartzite | Ueda et al. (2008)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),\n                   SetMaterialParams(Name=\"MC\", Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(\"Plagioclase An75 | Ji and Zhao (1993)\"), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),\n                   SetMaterialParams(Name=\"LC\", Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(\"Maryland strong diabase | Mackwell et al. (1998)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));\njulia> Thickness = [15,10,15]*km;\n\njulia> StrengthEnvelopeComp(MatParam, Thickness, LinTemp(), ε=1e-15/s)\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#GeoParams.StrengthEnvelopePlot","page":"1D Strength Envelope","title":"GeoParams.StrengthEnvelopePlot","text":"StrengthEnvelopePlot(MatParam, Thickness; TempType, nz)\n\nRequires GLMakie\n\nCreates a GUI that plots a 1D strength envelope. In the GUI, temperature profile and strain rate can be adjusted. The Drucker-Prager plasticity uses lithostatic pressure.\n\nParameters:\n\nMatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)\nThickness: a vector listing the thicknesses of the respective layers (should carry units)\nTempType:  the type of temperature profile (LinTemp=default, HalfspaceCoolTemp, ConstTemp)\nnz:        optional argument controlling the number of points along the profile (default = 101)\n\nExample:\n\njulia> using GLMakie\njulia> MatParam = (SetMaterialParams(Name=\"UC\", Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(\"Wet Quartzite | Ueda et al. (2008)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),\n                   SetMaterialParams(Name=\"MC\", Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(\"Plagioclase An75 | Ji and Zhao (1993)\"), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),\n                   SetMaterialParams(Name=\"LC\", Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(\"Maryland strong diabase | Mackwell et al. (1998)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));\njulia> Thickness = [15,10,15]*km;\n\njulia> StrengthEnvelopePlot(MatParam, Thickness, LinTemp())\n\n\n\n\n\n","category":"function"},{"location":"man/elasticity/#Elasticity","page":"Elasticity","title":"Elasticity","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"Elasticity is, in geodynamics, often used in combination with viscous and plastic rheology.","category":"page"},{"location":"man/elasticity/#Implemented-laws","page":"Elasticity","title":"Implemented laws","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"We provide the following elastic constitutive relationships:","category":"page"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"GeoParams.ConstantElasticity\nGeoParams.SetConstantElasticity","category":"page"},{"location":"man/elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity","page":"Elasticity","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity","text":"ConstantElasticity(G, ν, K, E)\n\nStructure that holds parameters for constant, isotropic, linear elasticity.\n\n\n\n\n\n","category":"type"},{"location":"man/elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity","page":"Elasticity","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity","text":"SetConstantElasticity(; G=nothing, ν=nothing, E=nothing, Kb=nothing)\n\nThis allows setting elastic parameters by specifying 2 out of the 4 elastic parameters G (Elastic shear modulus), ν (Poisson's ratio), E (Young's modulus), or Kb (bulk modulus).\n\n\n\n\n\n","category":"function"},{"location":"man/elasticity/#Computational-routines","page":"Elasticity","title":"Computational routines","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"We can compute the elastic strainrate with:","category":"page"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"GeoParams.compute_εII\nGeoParams.compute_εII!","category":"page"},{"location":"man/viscosity/#Effective-viscosity-computations","page":"Viscosity","title":"Effective viscosity computations","text":"","category":"section"},{"location":"man/viscosity/","page":"Viscosity","title":"Viscosity","text":"GeoParams.compute_viscosity_εII\nGeoParams.compute_viscosity_τII","category":"page"},{"location":"man/viscosity/#GeoParams.compute_viscosity_εII","page":"Viscosity","title":"GeoParams.compute_viscosity_εII","text":"compute_viscosity_εII(s::AbstractConstitutiveLaw, εII, kwargs...)\n\nCompute effective viscosity given a 2nd invariant of the deviatoric strain rate tensor, extra parameters are passed as a named tuple, e.g., (;T=T) \n\n\n\n\n\n","category":"function"},{"location":"man/viscosity/#GeoParams.compute_viscosity_τII","page":"Viscosity","title":"GeoParams.compute_viscosity_τII","text":"compute_viscosity_τII(s::AbstractConstitutiveLaw, τII, kwargs...)\n\nCompute effective viscosity given a 2nd invariant of the deviatoric stress tensor and, extra parameters are passed as a named tuple, e.g., (;T=T) \n\n\n\n\n\n","category":"function"},{"location":"man/shearheating/#Shear-heating","page":"Shear heating","title":"Shear heating","text":"","category":"section"},{"location":"man/shearheating/#Methods","page":"Shear heating","title":"Methods","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"Heat caused by non-recoverable deformation can be specified in ","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","text":"ConstantShearheating(Χ=0.0NoUnits)\n\nSet the shear heating efficiency [0-1] parameter\n\nΧ  = cst\n\nwhere Chi is the shear heating efficiency [NoUnits]\n\nShear heating is computed as\n\nH_s = Chi cdot tau_ij(dotvarepsilon_ij - dotvarepsilon^el_ij)\n\n\n\n\n\n","category":"type"},{"location":"man/shearheating/#Computational-routines","page":"Shear heating","title":"Computational routines","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"To compute, use this:","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.compute_shearheating\nGeoParams.MaterialParameters.Shearheating.compute_shearheating!","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating","text":"H_s = compute_shearheating(s:<AbstractShearheating, τ, ε, ε_el)\n\nComputes the shear heating source term\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\n\n\n\n\nH_s = ComputeShearheating(s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating!","text":"compute_shearheating!(H_s, s:<AbstractShearheating,  τ, ε, ε_el)\n\nComputes the shear heating source term in-place\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\nNOTE: The shear heating terms require the full deviatoric stress & strain rate tensors, i.e.:\n\n2D tau_ij = left(\n                beginmatrix\n                    tau_xx  tau_xz \n                    tau_zx  tau_zz\n                endmatrix\n            right)\n\nSince tau_zx=tau_xz, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used!\n\n\n\n\n\ncompute_shearheating!(H_s, s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term H_s in-place when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#Nondimensionalization","page":"Nondimensionalization","title":"Nondimensionalization","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between GEO, SI or NO units:","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"SI units assume all input and output is in SI units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).\nGEO units uses SI units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as Myrs,km or MPa\nNO units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that velocity is given in m/s).","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"A dimensional parameter can be transformed into a non-dimensional one with nondimensionalize.","category":"page"},{"location":"man/nondimensionalize/#Specify-characteristic-values","page":"Nondimensionalization","title":"Specify characteristic values","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Characteristic values can be defined in 3 ways.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"GeoParams.Units\nAbstractGeoUnit\nGeoUnit\nGeoUnits\nGEO_units\nSI_units\nNO_units\n@unpack_val\n@unpack_units","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units","page":"Nondimensionalization","title":"GeoParams.Units","text":"This provides units and creates a non-dimensionalization object\n\n\n\n\n\n","category":"module"},{"location":"man/nondimensionalize/#GeoParams.Units.AbstractGeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.AbstractGeoUnit","text":"AbstractGeoUnit\n\nAbstract supertype for geo units.\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnit","text":"Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.\n\nHaving that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.\nWith the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnits","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnits","text":"GeoUnits\n\nStructure that holds parameters used for non-dimensionalization\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GEO_units","page":"Nondimensionalization","title":"GeoParams.Units.GEO_units","text":"GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)\n\nCreates a non-dimensionalization object using GEO units.\n\nGEO units implies that upon dimensionalization, time will be in Myrs, length in km, stress in MPa, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (km or m), provided the unit is specified.\n\nExamples:\n\njulia> CharUnits = GEO_units()\nEmploying GEO units \nCharacteristic values: \n         length:      1000 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\njulia> CharUnits.velocity\n1.0e-7 m s⁻¹\n\nIf we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic length:\n\njulia> CharUnits = GEO_units(length=10km)\nEmploying GEO units \nCharacteristic values: \n         length:      10 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.SI_units","page":"Nondimensionalization","title":"GeoParams.Units.SI_units","text":"CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)\n\nSpecify the characteristic values using SI units \n\nExamples:\n\njulia> CharUnits = SI_units(length=1000m)\nEmploying SI units \nCharacteristic values: \n         length:      1000 m\n         time:        1.0e19 s\n         stress:      10 Pa\n         temperature: 1000.0 K\n\nNote that the same can be achieved if the input is given in km:\n\njulia> CharUnits = SI_units(length=1km)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.NO_units","page":"Nondimensionalization","title":"GeoParams.Units.NO_units","text":"CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)\n\nSpecify the characteristic values in non-dimensional units\n\nExamples:\n\njulia> using GeoParams;\njulia> CharUnits = NO_units()\nEmploying NONE units \nCharacteristic values: \n         length:      1\n         time:        1.0 \n         stress:      1\n         temperature: 1.0\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_val","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_val","text":"This unpacks the numerical value of `GeoUnit` in a structure, without the units.\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_val ρ,α = r\njulia> α\n4.0e-5\njulia> typeof(α)\nFloat64\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_units","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_units","text":"This unpacks the numerical value with units of `GeoUnit` parameters in a structure\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_units ρ,α = r\njulia> α\n4.0e-5 K⁻¹·⁰\njulia> typeof(α)\nQuantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#(Non)-dimensionalize-parameters","page":"Nondimensionalization","title":"(Non)-dimensionalize parameters","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"nondimensionalize\ndimensionalize\nisDimensional","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units.nondimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.nondimensionalize","text":"nondimensionalize(param, CharUnits::GeoUnits{TYPE})\n\nNondimensionalizes param using the characteristic values specified in CharUnits\n\nExample 1\n\njulia> using GeoParams;\njulia> CharUnits =   GEO_units();\njulia> v         =   3cm/yr\n3 cm yr⁻¹ \njulia> v_ND      =   nondimensionalize(v, CharUnits) \n0.009506426344208684\n\nExample 2\n\nIn geodynamics one sometimes encounters more funky units\n\njulia> CharUnits =   GEO_units();\njulia> A         =   6.3e-2MPa^-3.05*s^-1\n0.063 MPa⁻³·⁰⁵ s⁻¹\njulia> A_ND      =   nondimensionalize(A, CharUnits) \n7.068716262102384e14\n\nIn case you are interested to see how the units of A look like in different units, use this function from the Unitful package:\n\njulia> uconvert(u\"Pa^-3.05*s^-1\",A) \n3.157479571851836e-20 Pa⁻³·⁰⁵\n\nand to see it decomposed in the basic SI units of length, mass and time:\n\njulia> upreferred(A)\n3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵\n\n\n\n\n\nparam = nondimensionalize(param::NTuple{N,Quantity}, g::GeoUnits{TYPE})\n\nnondimensionalizes a tuple of parameters    \n\n\n\n\n\nMatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nNon-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\n\n\nnondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nnondimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\nMatParam_ND = nondimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)\n\nNon-dimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.dimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.dimensionalize","text":"dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes param into the dimensions param_dim using the characteristic values specified in CharUnits.  \n\nExample\n\njulia> CharUnits =   GEO_units();\njulia> v_ND      =   nondimensionalize(3cm/yr, CharUnits) \n0.031688087814028945\njulia> v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) \n3.0 cm yr⁻¹\n\n\n\n\n\ndimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\nDimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nDimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\ndimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)\n\ndimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.isDimensional","page":"Nondimensionalization","title":"GeoParams.Units.isDimensional","text":"isDimensional(MatParam::AbstractMaterialParam)\n\ntrue if MatParam is in dimensional units.    \n\n\n\n\n\n","category":"function"},{"location":"man/density/#Density","page":"Density","title":"Density","text":"","category":"section"},{"location":"man/density/#Methods","page":"Density","title":"Methods","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"The density equation of state can be specified in a number of ways","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.ConstantDensity\nGeoParams.MaterialParameters.Density.PT_Density\nGeoParams.MaterialParameters.Density.Compressible_Density","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.ConstantDensity","page":"Density","title":"GeoParams.MaterialParameters.Density.ConstantDensity","text":"ConstantDensity(ρ=2900kg/m^3)\n\nSet a constant density:\n\n    rho  = cst\n\nwhere rho is the density [kgm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.PT_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.PT_Density","text":"PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)\n\nSet a pressure and temperature-dependent density:\n\n    rho  = rho_0 (10 - alpha (T-T_0) + beta  (P-P_0) )  \n\nwhere rho_0 is the density [kgm^3] at reference temperature T_0 and pressure P_0, alpha is the temperature dependence of density and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.Compressible_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.Compressible_Density","text":"Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)\n\nSet a pressure-dependent density:\n\n    rho  = rho_0 exp(β*(P - P_0))  \n\nwhere rho_0 is the density [kgm^3] at reference pressure P_0 and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#Computational-routines","page":"Density","title":"Computational routines","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"To evaluate density within a user routine, use this:","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.compute_density\nGeoParams.MaterialParameters.Density.compute_density!","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density","text":"compute_density(P,T, s::PhaseDiagram_LookupTable)\n\nInterpolates density as a function of T,P from a lookup table  \n\n\n\n\n\n","category":"function"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density!","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density!","text":"compute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I<:Integer}\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\nExample\n\njulia> MatParam = (SetMaterialParams(Name=\"Mantle\", Phase=1,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                        Density   = PT_Density()\n                        ),\n                    SetMaterialParams(Name=\"Crust\", Phase=2,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),\n                        Density   = ConstantDensity(ρ=2900kg/m^3))\n                  );\njulia> Phases = ones(Int64,400,400);\njulia> Phases[:,20:end] .= 2\njulia> rho     = zeros(size(Phases))\njulia> T       =  ones(size(Phases))\njulia> P       =  ones(size(Phases))*10\njulia> args = (P=P, T=T)\njulia> compute_density!(rho, MatParam, Phases, args)\njulia> rho\n400×400 Matrix{Float64}:\n2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮                            \n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n\nThe routine is made to minimize allocations:\n\njulia> using BenchmarkTools\njulia> @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)\n    203.468 μs (0 allocations: 0 bytes)\n\n_____________________________________________________________________________________________________________________________   \n\ncompute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/density/","page":"Density","title":"Density","text":"Note that density values are usually not used in itself in the governing PDE's, but usually in combination with other parameters, such as rho g or rho c_p. the non-dimensional value of rho may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.","category":"page"},{"location":"man/customrheology/#User-defined-rheology","page":"Custom rheology","title":"User-defined rheology","text":"","category":"section"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"CustomRheology allows the user to interface with GeoParams.jl API for rheology calculations: ","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"struct CustomRheology{F1, F2, T} <: AbstractCreepLaw\n    strain::F1\n    stress::F2\n    args::T\nend","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"where strain and stress are functions that compute the strain rate and deviatoric stress tensors, respectively, and args is a NamedTuple containing any constant (i.e. immutable) physical parameters needed by our CustomRheology. ","category":"page"},{"location":"man/customrheology/#Example:-Arrhenious-type-rheology","page":"Custom rheology","title":"Example: Arrhenious-type rheology","text":"","category":"section"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"The deviatoric stress tau_ij and strain rate tensors dotvarepsilon_ij are simply     tau_ij = 2 eta dotvarepsilon_ij qquad dotvarepsilon_ij  = tau_ij  over 2 eta","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"and the viscosity eta is temperature-dependant     eta = eta_0 * expleft(fracET+T_o-fracET_eta+T_oright)","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"where eta_0 and T_eta are the respective reference viscosity and temperature, T_o is the offset temperature, T is the local temperature, and E is activation energy. ","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Before defining the functions to compute tau and dotvarepsilon, it is convenient to define a helper function to compute the viscosity:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"@inline function custom_viscosity(\n    a::CustomRheology; T = 0.0, kwargs...\n)\n    (; η0, E, To, Tη) = a.args\n    η = η0 * exp(E / (T + To) - E / (Tη + To))\n    return  η\nend","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Then we just need to define two simple functions to compue the second invariants of tau_ij and dotvarepsilon_ij:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"# function to compute deviatoric stress\n@inline function custom_τII(\n    a::CustomRheology, EpsII; kwargs...\n)\n    η = custom_viscosity(a; kwargs...)\n    return 2.0 * (η * EpsII)\nend\n\n# function to compute strain rate\n@inline function custom_εII(\n    a::CustomRheology, TauII; kwargs...\n)\n    η = custom_viscosity(a; kwargs...)\n    return (TauII / η) * 0.5\nend","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Note that the key word argument kwargs... is needed in all the above functions for compatibility with GeoParams.jl. ","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Finally, we need a NamedTuple containing the physical parameters needed by custom_τII and custom_εII:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"# constant parameters, these are typically wrapped into a struct (compulsory)\nparameters = (;\n    η0 = 1.0,\n    E = 23.03,\n    To = 1.0,\n    Tη = 1.0,\n)","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Then the CustomRheology object is created","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"a = CustomRheology(custom_εII, custom_τII, parameters)","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Now we can use our new rheology object with GeoParams.jl methods:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"julia> args = (; T=0.5)\n(T = 0.5,)\n\njulia> τII, εII = 1.5,  0.5\n(1.5, 0.5)\n\njulia> ε = compute_εII(v, τII, args)\n0.016147090412110487\n\njulia> τ = compute_τII(v, εII, args)\n46.44799656521971\n\njulia> dεdτ = dεII_dτII(v, τII, args)\n0.010764726941406991\n\njulia> dτdε = dτII_dεII(v, εII, args)\n92.89599313043942","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"And also works for composite rheologies:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"julia> el = ConstantElasticity(; G=1.0)\nLinear elasticity with shear modulus: G = 1.0, Poisson's ratio: ν = 0.5, bulk modulus: Kb = Inf and Young's module: E=NaN\n\njulia> c = CompositeRheology(v, el)\n--?????----/\\/\\/--\n\njulia> args = (; dt=Inf, T=0.5)\n(dt = Inf, T = 0.5)\n\njulia> ε = compute_εII(c, τII, args)\n0.016147090412110487\n\njulia> τ = compute_τII(c, εII, args)\n46.44799656521971","category":"page"},{"location":"man/gravity/#Gravitational-acceleration","page":"Gravity","title":"Gravitational acceleration","text":"","category":"section"},{"location":"man/gravity/#Methods","page":"Gravity","title":"Methods","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"Gravitational acceleration is defined as ","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","text":"GravityConstant(g=9.81m/s^2)\n\nSet a constant value for the gravitational acceleration:\n\n    g  = 981 m s^-2\n\n\n\n\n\n","category":"type"},{"location":"man/gravity/#Computational-routines","page":"Gravity","title":"Computational routines","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"To compute, use this:","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","text":"compute_gravity(s:<AbstractGravity)\n\nReturns the gravitational acceleration \n\n\n\n\n\n","category":"function"},{"location":"#GeoParams.jl","page":"Home","title":"GeoParams.jl","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:","category":"page"},{"location":"","page":"Home","title":"Home","text":"Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).\nMaterial parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. ","category":"page"},{"location":"","page":"Home","title":"Home","text":"We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).","category":"page"},{"location":"man/conductivity/#Conductivity","page":"Conductivity","title":"Conductivity","text":"","category":"section"},{"location":"man/conductivity/#Methods","page":"Conductivity","title":"Methods","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"Thermal conductivity is defined as ","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity\nGeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington\nGeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised\nGeoParams.MaterialParameters.Conductivity.TP_Conductivity\nGeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity","text":"ConstantConductivity(k=3.0W/m/K)\n\nSet a constant conductivity\n\n    k  = cst\n\nwhere k is the thermal conductivity [WmK].\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington","text":"T_Conductivity_Whittington()\n\nSets a temperature-dependent conductivity following the parameterization of Whittington, A.G., Hofmeister, A.M., Nabelek, P.I., 2009. Temperature-dependent thermal diffusivity of the Earth’s crust and implications for magmatism. Nature 458, 319–321. https://doi.org/10.1038/nature07818. Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us to compute\n\n    Cp = a + b T - cT^2\n\n    kappa = dT - e textrm if  T=846K\n\n    kappa = f - g*T textrm if  T846K\n\n    rho = 2700 kgm^3\n\n    k = kappa rho Cp\n\nwhere Cp is the heat capacity [JmolK], and abc are parameters that dependent on the temperature T:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nd = 576.3m^2/s*K\ne = 0.062m^2/s\nf = 0.732m^2/s\ng = 0.000135m^2/s/K\n\nThis looks like:\n\n(Image: subet1)\n\nExample\n\njulia> using GLMakie, GeoParams\njulia> p=T_Conductivity_Whittington();\njulia> T,k,plt = PlotConductivity(p)\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised","text":"T_Conductivity_Whittington_parameterised()\n\nSets a temperature-dependent conductivity that is  parameterization after Whittington, et al.  2009\n\nThe original parameterization involves quite a few parameters; this is a polynomial fit that is roughly valid from 0-1000 Celsius\n\n    k WmK = -2 10^-9 (T-Ts)^3 + 6 10^-6 (T-Ts)^2 - 00062 (T-Ts) + 4\n\n    Ts = 27315 K\n\nwhere T[K] is the temperature in Kelvin (or the nondimensional equivalent of it).\n\nThe comparison of this parameterisation vs. the original one is: (Image: subet1)\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.TP_Conductivity","text":"TP_Conductivity()\n\nSets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for\n\n    k = left( a_k +  b_k over T + c_k right) (1 + d_k P)\n\nwhere k is the conductivity [WKm], and a_kb_kc_kd_k are parameters that dependent on the temperature T and pressure P:\n\na_k = 1.18Watt/K/m\nb_k = 474Watt/m\nc_k = 77K\nd_k = 0/MPa\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","text":"Set_TP_Conductivity[\"Name of temperature(-pressure) dependent conductivity\"]\n\nThis is a dictionary with pre-defined laws:\n\n\"UpperCrust\"\n\"LowerCrust\"\n\"OceanicCrust\"\n\"Mantle\"\n\nExample\n\njulia> k=Set_TP_Conductivity[\"Mantle\"]\nT/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)\n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#Computational-routines","page":"Conductivity","title":"Computational routines","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"To compute, use this:","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.compute_conductivity\nGeoParams.MaterialParameters.Conductivity.compute_conductivity!","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity","text":"k = compute_conductivity(P, T, s:<AbstractConductivity)\n\nReturns the thermal conductivity k at any temperature T and pressure P using any of the parameterizations implemented.\n\nCurrently available:\n\nConstantConductivity\nT_Conductivity_Whittington\nTP_Conductivity\n\nExample\n\nUsing dimensional units\n\njulia> T  = (250:100:1250)*K;\njulia> cp = T_HeatCapacity_Whittington()\njulia> Cp = ComputeHeatCapacity(0,T,cp)\n\n\n\n\n\ncompute_conductivity!(K::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},Temp::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of conductivity K for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and Temp arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n_________________________________________________________________________________________________________\n\ncompute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity!","text":"compute_conductivity(k_array::AbstractArray{<:AbstractFloat,N},P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, s::ConstantConductivity) where N\n\nIn-place routine to compute constant conductivity\n\n\n\n\n\n","category":"function"}]
+}
diff --git a/v0.5.2/siteinfo.js b/v0.5.2/siteinfo.js
new file mode 100644
index 000000000..192b88fb1
--- /dev/null
+++ b/v0.5.2/siteinfo.js
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+var DOCUMENTER_CURRENT_VERSION = "v0.5.2";
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index 000000000..c7ec86a3a
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diff --git a/v0.5.3/assets/documenter.js b/v0.5.3/assets/documenter.js
new file mode 100644
index 000000000..6adfbbbf4
--- /dev/null
+++ b/v0.5.3/assets/documenter.js
@@ -0,0 +1,331 @@
+// Generated by Documenter.jl
+requirejs.config({
+  paths: {
+    'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia.min',
+    'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min',
+    'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.12.1/jquery-ui.min',
+    'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/contrib/auto-render.min',
+    'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min',
+    'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min',
+    'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min',
+    'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/highlight.min',
+    'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia-repl.min',
+  },
+  shim: {
+  "highlight-julia": {
+    "deps": [
+      "highlight"
+    ]
+  },
+  "katex-auto-render": {
+    "deps": [
+      "katex"
+    ]
+  },
+  "headroom-jquery": {
+    "deps": [
+      "jquery",
+      "headroom"
+    ]
+  },
+  "highlight-julia-repl": {
+    "deps": [
+      "highlight"
+    ]
+  }
+}
+});
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) {
+$(document).ready(function() {
+  renderMathInElement(
+    document.body,
+    {
+  "delimiters": [
+    {
+      "left": "$",
+      "right": "$",
+      "display": false
+    },
+    {
+      "left": "$$",
+      "right": "$$",
+      "display": true
+    },
+    {
+      "left": "\\[",
+      "right": "\\]",
+      "display": true
+    }
+  ]
+}
+
+  );
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) {
+$(document).ready(function() {
+    hljs.highlightAll();
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require([], function() {
+function addCopyButtonCallbacks() {
+  for (const el of document.getElementsByTagName("pre")) {
+    const button = document.createElement("button");
+    button.classList.add("copy-button", "fas", "fa-copy");
+    el.appendChild(button);
+
+    const success = function () {
+      button.classList.add("success", "fa-check");
+      button.classList.remove("fa-copy");
+    };
+
+    const failure = function () {
+      button.classList.add("error", "fa-times");
+      button.classList.remove("fa-copy");
+    };
+
+    button.addEventListener("click", function () {
+      copyToClipboard(el.innerText).then(success, failure);
+
+      setTimeout(function () {
+        button.classList.add("fa-copy");
+        button.classList.remove("success", "fa-check", "fa-times");
+      }, 5000);
+    });
+  }
+}
+
+function copyToClipboard(text) {
+  // clipboard API is only available in secure contexts
+  if (window.navigator && window.navigator.clipboard) {
+    return window.navigator.clipboard.writeText(text);
+  } else {
+    return new Promise(function (resolve, reject) {
+      try {
+        const el = document.createElement("textarea");
+        el.textContent = text;
+        el.style.position = "fixed";
+        el.style.opacity = 0;
+        document.body.appendChild(el);
+        el.select();
+        document.execCommand("copy");
+
+        resolve();
+      } catch (err) {
+        reject(err);
+      } finally {
+        document.body.removeChild(el);
+      }
+    });
+  }
+}
+
+if (document.readyState === "loading") {
+  document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks);
+} else {
+  addCopyButtonCallbacks();
+}
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) {
+
+// Manages the top navigation bar (hides it when the user starts scrolling down on the
+// mobile).
+window.Headroom = Headroom; // work around buggy module loading?
+$(document).ready(function() {
+  $('#documenter .docs-navbar').headroom({
+    "tolerance": {"up": 10, "down": 10},
+  });
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// Modal settings dialog
+$(document).ready(function() {
+  var settings = $('#documenter-settings');
+  $('#documenter-settings-button').click(function(){
+    settings.toggleClass('is-active');
+  });
+  // Close the dialog if X is clicked
+  $('#documenter-settings button.delete').click(function(){
+    settings.removeClass('is-active');
+  });
+  // Close dialog if ESC is pressed
+  $(document).keyup(function(e) {
+    if (e.keyCode == 27) settings.removeClass('is-active');
+  });
+});
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// Manages the showing and hiding of the sidebar.
+$(document).ready(function() {
+  var sidebar = $("#documenter > .docs-sidebar");
+  var sidebar_button = $("#documenter-sidebar-button")
+  sidebar_button.click(function(ev) {
+    ev.preventDefault();
+    sidebar.toggleClass('visible');
+    if (sidebar.hasClass('visible')) {
+      // Makes sure that the current menu item is visible in the sidebar.
+      $("#documenter .docs-menu a.is-active").focus();
+    }
+  });
+  $("#documenter > .docs-main").bind('click', function(ev) {
+    if ($(ev.target).is(sidebar_button)) {
+      return;
+    }
+    if (sidebar.hasClass('visible')) {
+      sidebar.removeClass('visible');
+    }
+  });
+})
+
+// Resizes the package name / sitename in the sidebar if it is too wide.
+// Inspired by: https://github.com/davatron5000/FitText.js
+$(document).ready(function() {
+  e = $("#documenter .docs-autofit");
+  function resize() {
+    var L = parseInt(e.css('max-width'), 10);
+    var L0 = e.width();
+    if(L0 > L) {
+      var h0 = parseInt(e.css('font-size'), 10);
+      e.css('font-size', L * h0 / L0);
+      // TODO: make sure it survives resizes?
+    }
+  }
+  // call once and then register events
+  resize();
+  $(window).resize(resize);
+  $(window).on('orientationchange', resize);
+});
+
+// Scroll the navigation bar to the currently selected menu item
+$(document).ready(function() {
+  var sidebar = $("#documenter .docs-menu").get(0);
+  var active = $("#documenter .docs-menu .is-active").get(0);
+  if(typeof active !== 'undefined') {
+    sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15;
+  }
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+function set_theme(theme) {
+  var active = null;
+  var disabled = [];
+  for (var i = 0; i < document.styleSheets.length; i++) {
+    var ss = document.styleSheets[i];
+    var themename = ss.ownerNode.getAttribute("data-theme-name");
+    if(themename === null) continue; // ignore non-theme stylesheets
+    // Find the active theme
+    if(themename === theme) active = ss;
+    else disabled.push(ss);
+  }
+  if(active !== null) {
+    active.disabled = false;
+    if(active.ownerNode.getAttribute("data-theme-primary") === null) {
+      document.getElementsByTagName('html')[0].className = "theme--" + theme;
+    } else {
+      document.getElementsByTagName('html')[0].className = "";
+    }
+    disabled.forEach(function(ss){
+      ss.disabled = true;
+    });
+  }
+
+  // Store the theme in localStorage
+  if(typeof(window.localStorage) !== "undefined") {
+    window.localStorage.setItem("documenter-theme", theme);
+  } else {
+    console.error("Browser does not support window.localStorage");
+  }
+}
+
+// Theme picker setup
+$(document).ready(function() {
+  // onchange callback
+  $('#documenter-themepicker').change(function themepick_callback(ev){
+    var themename = $('#documenter-themepicker option:selected').attr('value');
+    set_theme(themename);
+  });
+
+  // Make sure that the themepicker displays the correct theme when the theme is retrieved
+  // from localStorage
+  if(typeof(window.localStorage) !== "undefined") {
+    var theme =  window.localStorage.getItem("documenter-theme");
+    if(theme !== null) {
+      $('#documenter-themepicker option').each(function(i,e) {
+        e.selected = (e.value === theme);
+      })
+    } else {
+      $('#documenter-themepicker option').each(function(i,e) {
+        e.selected = $("html").hasClass(`theme--${e.value}`);
+      })
+    }
+  }
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// update the version selector with info from the siteinfo.js and ../versions.js files
+$(document).ready(function() {
+  // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the
+  // siteinfo.js file, we just return immediately and not display the version selector.
+  if (typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === 'boolean' && DOCUMENTER_VERSION_SELECTOR_DISABLED) {
+    return;
+  }
+
+  var version_selector = $("#documenter .docs-version-selector");
+  var version_selector_select = $("#documenter .docs-version-selector select");
+
+  version_selector_select.change(function(x) {
+    target_href = version_selector_select.children("option:selected").get(0).value;
+    window.location.href = target_href;
+  });
+
+  // add the current version to the selector based on siteinfo.js, but only if the selector is empty
+  if (typeof DOCUMENTER_CURRENT_VERSION !== 'undefined' && $('#version-selector > option').length == 0) {
+    var option = $("<option value='#' selected='selected'>" + DOCUMENTER_CURRENT_VERSION + "</option>");
+    version_selector_select.append(option);
+  }
+
+  if (typeof DOC_VERSIONS !== 'undefined') {
+    var existing_versions = version_selector_select.children("option");
+    var existing_versions_texts = existing_versions.map(function(i,x){return x.text});
+    DOC_VERSIONS.forEach(function(each) {
+      var version_url = documenterBaseURL + "/../" + each;
+      var existing_id = $.inArray(each, existing_versions_texts);
+      // if not already in the version selector, add it as a new option,
+      // otherwise update the old option with the URL and enable it
+      if (existing_id == -1) {
+        var option = $("<option value='" + version_url + "'>" + each + "</option>");
+        version_selector_select.append(option);
+      } else {
+        var option = existing_versions[existing_id];
+        option.value = version_url;
+        option.disabled = false;
+      }
+    });
+  }
+
+  // only show the version selector if the selector has been populated
+  if (version_selector_select.children("option").length > 0) {
+    version_selector.toggleClass("visible");
+  }
+})
+
+})
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diff --git a/v0.5.3/assets/logo_avatar.png b/v0.5.3/assets/logo_avatar.png
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diff --git a/v0.5.3/assets/search.js b/v0.5.3/assets/search.js
new file mode 100644
index 000000000..c133f7410
--- /dev/null
+++ b/v0.5.3/assets/search.js
@@ -0,0 +1,267 @@
+// Generated by Documenter.jl
+requirejs.config({
+  paths: {
+    'lunr': 'https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min',
+    'lodash': 'https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.21/lodash.min',
+    'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min',
+  }
+});
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'lunr', 'lodash'], function($, lunr, _) {
+
+$(document).ready(function() {
+  // parseUri 1.2.2
+  // (c) Steven Levithan <stevenlevithan.com>
+  // MIT License
+  function parseUri (str) {
+    var  o   = parseUri.options,
+      m   = o.parser[o.strictMode ? "strict" : "loose"].exec(str),
+      uri = {},
+      i   = 14;
+
+    while (i--) uri[o.key[i]] = m[i] || "";
+
+    uri[o.q.name] = {};
+    uri[o.key[12]].replace(o.q.parser, function ($0, $1, $2) {
+      if ($1) uri[o.q.name][$1] = $2;
+    });
+
+    return uri;
+  };
+  parseUri.options = {
+    strictMode: false,
+    key: ["source","protocol","authority","userInfo","user","password","host","port","relative","path","directory","file","query","anchor"],
+    q:   {
+      name:   "queryKey",
+      parser: /(?:^|&)([^&=]*)=?([^&]*)/g
+    },
+    parser: {
+      strict: /^(?:([^:\/?#]+):)?(?:\/\/((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?))?((((?:[^?#\/]*\/)*)([^?#]*))(?:\?([^#]*))?(?:#(.*))?)/,
+      loose:  /^(?:(?![^:@]+:[^:@\/]*@)([^:\/?#.]+):)?(?:\/\/)?((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?)(((\/(?:[^?#](?![^?#\/]*\.[^?#\/.]+(?:[?#]|$)))*\/?)?([^?#\/]*))(?:\?([^#]*))?(?:#(.*))?)/
+    }
+  };
+
+  $("#search-form").submit(function(e) {
+    e.preventDefault()
+  })
+
+  // list below is the lunr 2.1.3 list minus the intersect with names(Base)
+  // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with)
+  // ideally we'd just filter the original list but it's not available as a variable
+  lunr.stopWordFilter = lunr.generateStopWordFilter([
+    'a',
+    'able',
+    'about',
+    'across',
+    'after',
+    'almost',
+    'also',
+    'am',
+    'among',
+    'an',
+    'and',
+    'are',
+    'as',
+    'at',
+    'be',
+    'because',
+    'been',
+    'but',
+    'by',
+    'can',
+    'cannot',
+    'could',
+    'dear',
+    'did',
+    'does',
+    'either',
+    'ever',
+    'every',
+    'from',
+    'got',
+    'had',
+    'has',
+    'have',
+    'he',
+    'her',
+    'hers',
+    'him',
+    'his',
+    'how',
+    'however',
+    'i',
+    'if',
+    'into',
+    'it',
+    'its',
+    'just',
+    'least',
+    'like',
+    'likely',
+    'may',
+    'me',
+    'might',
+    'most',
+    'must',
+    'my',
+    'neither',
+    'no',
+    'nor',
+    'not',
+    'of',
+    'off',
+    'often',
+    'on',
+    'or',
+    'other',
+    'our',
+    'own',
+    'rather',
+    'said',
+    'say',
+    'says',
+    'she',
+    'should',
+    'since',
+    'so',
+    'some',
+    'than',
+    'that',
+    'the',
+    'their',
+    'them',
+    'then',
+    'there',
+    'these',
+    'they',
+    'this',
+    'tis',
+    'to',
+    'too',
+    'twas',
+    'us',
+    'wants',
+    'was',
+    'we',
+    'were',
+    'what',
+    'when',
+    'who',
+    'whom',
+    'why',
+    'will',
+    'would',
+    'yet',
+    'you',
+    'your'
+  ])
+
+  // add . as a separator, because otherwise "title": "Documenter.Anchors.add!"
+  // would not find anything if searching for "add!", only for the entire qualification
+  lunr.tokenizer.separator = /[\s\-\.]+/
+
+  // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names
+  lunr.trimmer = function (token) {
+    return token.update(function (s) {
+      return s.replace(/^[^a-zA-Z0-9@!]+/, '').replace(/[^a-zA-Z0-9@!]+$/, '')
+    })
+  }
+
+  lunr.Pipeline.registerFunction(lunr.stopWordFilter, 'juliaStopWordFilter')
+  lunr.Pipeline.registerFunction(lunr.trimmer, 'juliaTrimmer')
+
+  var index = lunr(function () {
+    this.ref('location')
+    this.field('title',{boost: 100})
+    this.field('text')
+    documenterSearchIndex['docs'].forEach(function(e) {
+        this.add(e)
+    }, this)
+  })
+  var store = {}
+
+  documenterSearchIndex['docs'].forEach(function(e) {
+      store[e.location] = {title: e.title, category: e.category, page: e.page}
+  })
+
+  $(function(){
+    searchresults = $('#documenter-search-results');
+    searchinfo = $('#documenter-search-info');
+    searchbox = $('#documenter-search-query');
+    searchform = $('.docs-search');
+    sidebar = $('.docs-sidebar');
+    function update_search(querystring) {
+      tokens = lunr.tokenizer(querystring)
+      results = index.query(function (q) {
+        tokens.forEach(function (t) {
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 100,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 10,
+            usePipeline: true,
+            editDistance: 2,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["text"],
+            boost: 1,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+        })
+      })
+      searchinfo.text("Number of results: " + results.length)
+      searchresults.empty()
+      results.forEach(function(result) {
+        data = store[result.ref]
+        link = $('<a class="docs-label">'+data.title+'</a>')
+        link.attr('href', documenterBaseURL+'/'+result.ref)
+        if (data.category != "page"){
+          cat = $('<span class="docs-category">('+data.category+', '+data.page+')</span>')
+        } else {
+          cat = $('<span class="docs-category">('+data.category+')</span>')
+        }
+        li = $('<li>').append(link).append(" ").append(cat)
+        searchresults.append(li)
+      })
+    }
+
+    function update_search_box() {
+      querystring = searchbox.val()
+      update_search(querystring)
+    }
+
+    searchbox.keyup(_.debounce(update_search_box, 250))
+    searchbox.change(update_search_box)
+
+    // Disable enter-key form submission for the searchbox on the search page
+    // and just re-run search rather than refresh the whole page.
+    searchform.keypress(
+      function(event){
+        if (event.which == '13') {
+          if (sidebar.hasClass('visible')) {
+            sidebar.removeClass('visible');
+          }
+          update_search_box();
+          event.preventDefault();
+        }
+      }
+    );
+
+    search_query_uri = parseUri(window.location).queryKey["q"]
+    if(search_query_uri !== undefined) {
+      search_query = decodeURIComponent(search_query_uri.replace(/\+/g, '%20'))
+      searchbox.val(search_query)
+    }
+    update_search_box();
+  })
+})
+
+})
diff --git a/v0.5.3/assets/themes/documenter-dark.css b/v0.5.3/assets/themes/documenter-dark.css
new file mode 100644
index 000000000..c94a294dc
--- /dev/null
+++ b/v0.5.3/assets/themes/documenter-dark.css
@@ -0,0 +1,7 @@
+@keyframes spinAround{from{transform:rotate(0deg)}to{transform:rotate(359deg)}}html.theme--documenter-dark .tabs,html.theme--documenter-dark .pagination-previous,html.theme--documenter-dark .pagination-next,html.theme--documenter-dark .pagination-link,html.theme--documenter-dark .pagination-ellipsis,html.theme--documenter-dark .breadcrumb,html.theme--documenter-dark .file,html.theme--documenter-dark .button,.is-unselectable,html.theme--documenter-dark .modal-close,html.theme--documenter-dark .delete{-webkit-touch-callout:none;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none}html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after,html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after{border:3px solid rgba(0,0,0,0);border-radius:2px;border-right:0;border-top:0;content:" ";display:block;height:0.625em;margin-top:-0.4375em;pointer-events:none;position:absolute;top:50%;transform:rotate(-45deg);transform-origin:center;width:0.625em}html.theme--documenter-dark .admonition:not(:last-child),html.theme--documenter-dark .tabs:not(:last-child),html.theme--documenter-dark .message:not(:last-child),html.theme--documenter-dark .list:not(:last-child),html.theme--documenter-dark .level:not(:last-child),html.theme--documenter-dark .breadcrumb:not(:last-child),html.theme--documenter-dark .highlight:not(:last-child),html.theme--documenter-dark .block:not(:last-child),html.theme--documenter-dark .title:not(:last-child),html.theme--documenter-dark .subtitle:not(:last-child),html.theme--documenter-dark .table-container:not(:last-child),html.theme--documenter-dark .table:not(:last-child),html.theme--documenter-dark .progress:not(:last-child),html.theme--documenter-dark .notification:not(:last-child),html.theme--documenter-dark .content:not(:last-child),html.theme--documenter-dark .box:not(:last-child){margin-bottom:1.5rem}html.theme--documenter-dark .modal-close,html.theme--documenter-dark .delete{-moz-appearance:none;-webkit-appearance:none;background-color:rgba(10,10,10,0.2);border:none;border-radius:290486px;cursor:pointer;pointer-events:auto;display:inline-block;flex-grow:0;flex-shrink:0;font-size:0;height:20px;max-height:20px;max-width:20px;min-height:20px;min-width:20px;outline:none;position:relative;vertical-align:top;width:20px}html.theme--documenter-dark .modal-close::before,html.theme--documenter-dark .delete::before,html.theme--documenter-dark .modal-close::after,html.theme--documenter-dark .delete::after{background-color:#fff;content:"";display:block;left:50%;position:absolute;top:50%;transform:translateX(-50%) translateY(-50%) rotate(45deg);transform-origin:center center}html.theme--documenter-dark .modal-close::before,html.theme--documenter-dark .delete::before{height:2px;width:50%}html.theme--documenter-dark .modal-close::after,html.theme--documenter-dark .delete::after{height:50%;width:2px}html.theme--documenter-dark .modal-close:hover,html.theme--documenter-dark .delete:hover,html.theme--documenter-dark .modal-close:focus,html.theme--documenter-dark .delete:focus{background-color:rgba(10,10,10,0.3)}html.theme--documenter-dark .modal-close:active,html.theme--documenter-dark .delete:active{background-color:rgba(10,10,10,0.4)}html.theme--documenter-dark .is-small.modal-close,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.modal-close,html.theme--documenter-dark .is-small.delete,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.delete{height:16px;max-height:16px;max-width:16px;min-height:16px;min-width:16px;width:16px}html.theme--documenter-dark .is-medium.modal-close,html.theme--documenter-dark .is-medium.delete{height:24px;max-height:24px;max-width:24px;min-height:24px;min-width:24px;width:24px}html.theme--documenter-dark .is-large.modal-close,html.theme--documenter-dark .is-large.delete{height:32px;max-height:32px;max-width:32px;min-height:32px;min-width:32px;width:32px}html.theme--documenter-dark .control.is-loading::after,html.theme--documenter-dark .select.is-loading::after,html.theme--documenter-dark .loader,html.theme--documenter-dark .button.is-loading::after{animation:spinAround 500ms infinite linear;border:2px solid #dbdee0;border-radius:290486px;border-right-color:transparent;border-top-color:transparent;content:"";display:block;height:1em;position:relative;width:1em}html.theme--documenter-dark .hero-video,html.theme--documenter-dark .modal-background,html.theme--documenter-dark .modal,html.theme--documenter-dark .image.is-square img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--documenter-dark .image.is-square .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--documenter-dark .image.is-1by1 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--documenter-dark .image.is-1by1 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--documenter-dark .image.is-5by4 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by4 img,html.theme--documenter-dark .image.is-5by4 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by4 .has-ratio,html.theme--documenter-dark .image.is-4by3 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by3 img,html.theme--documenter-dark .image.is-4by3 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by3 .has-ratio,html.theme--documenter-dark .image.is-3by2 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by2 img,html.theme--documenter-dark .image.is-3by2 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by2 .has-ratio,html.theme--documenter-dark .image.is-5by3 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--documenter-dark .image.is-5by3 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--documenter-dark .image.is-16by9 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--documenter-dark .image.is-16by9 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--documenter-dark .image.is-2by1 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--documenter-dark .image.is-2by1 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--documenter-dark .image.is-3by1 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--documenter-dark .image.is-3by1 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by1 .has-ratio,html.theme--documenter-dark .image.is-4by5 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by5 img,html.theme--documenter-dark .image.is-4by5 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by5 .has-ratio,html.theme--documenter-dark .image.is-3by4 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by4 img,html.theme--documenter-dark .image.is-3by4 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by4 .has-ratio,html.theme--documenter-dark .image.is-2by3 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by3 img,html.theme--documenter-dark .image.is-2by3 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.button.is-white.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black{background-color:#0a0a0a;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:hover,html.theme--documenter-dark .button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:focus,html.theme--documenter-dark .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:focus:not(:active),html.theme--documenter-dark .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--documenter-dark 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.button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-outlined:hover,html.theme--documenter-dark .button.is-black.is-outlined.is-hovered,html.theme--documenter-dark .button.is-black.is-outlined:focus,html.theme--documenter-dark .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--documenter-dark .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-black.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:transparent;color:#282f2f}html.theme--documenter-dark .button.is-light:hover,html.theme--documenter-dark .button.is-light.is-hovered{background-color:#e5eaec;border-color:transparent;color:#282f2f}html.theme--documenter-dark .button.is-light:focus,html.theme--documenter-dark .button.is-light.is-focused{border-color:transparent;color:#282f2f}html.theme--documenter-dark .button.is-light:focus:not(:active),html.theme--documenter-dark .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(236,240,241,0.25)}html.theme--documenter-dark .button.is-light:active,html.theme--documenter-dark .button.is-light.is-active{background-color:#dde4e6;border-color:transparent;color:#282f2f}html.theme--documenter-dark .button.is-light[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:transparent;box-shadow:none}html.theme--documenter-dark .button.is-light.is-inverted{background-color:#282f2f;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-hovered{background-color:#1d2122}html.theme--documenter-dark .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted{background-color:#282f2f;border-color:transparent;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-loading::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-outlined.is-focused{background-color:#ecf0f1;border-color:#ecf0f1;color:#282f2f}html.theme--documenter-dark .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused{background-color:#282f2f;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark,html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:transparent;color:#ecf0f1}html.theme--documenter-dark .button.is-dark:hover,html.theme--documenter-dark .content kbd.button:hover,html.theme--documenter-dark .button.is-dark.is-hovered,html.theme--documenter-dark .content kbd.button.is-hovered{background-color:#232829;border-color:transparent;color:#ecf0f1}html.theme--documenter-dark .button.is-dark:focus,html.theme--documenter-dark .content kbd.button:focus,html.theme--documenter-dark .button.is-dark.is-focused,html.theme--documenter-dark .content kbd.button.is-focused{border-color:transparent;color:#ecf0f1}html.theme--documenter-dark .button.is-dark:focus:not(:active),html.theme--documenter-dark .content kbd.button:focus:not(:active),html.theme--documenter-dark .button.is-dark.is-focused:not(:active),html.theme--documenter-dark .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(40,47,47,0.25)}html.theme--documenter-dark .button.is-dark:active,html.theme--documenter-dark .content kbd.button:active,html.theme--documenter-dark .button.is-dark.is-active,html.theme--documenter-dark .content kbd.button.is-active{background-color:#1d2122;border-color:transparent;color:#ecf0f1}html.theme--documenter-dark .button.is-dark[disabled],html.theme--documenter-dark .content kbd.button[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark,fieldset[disabled] html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:transparent;box-shadow:none}html.theme--documenter-dark .button.is-dark.is-inverted,html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#ecf0f1;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted:hover,html.theme--documenter-dark .content kbd.button.is-inverted:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered{background-color:#dde4e6}html.theme--documenter-dark .button.is-dark.is-inverted[disabled],html.theme--documenter-dark .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#ecf0f1;border-color:transparent;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-loading::after,html.theme--documenter-dark .content kbd.button.is-loading::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-dark.is-outlined,html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-outlined.is-focused{background-color:#282f2f;border-color:#282f2f;color:#ecf0f1}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-dark.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#ecf0f1;color:#ecf0f1}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#ecf0f1;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#ecf0f1;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-primary,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink{background-color:#375a7f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:hover,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-hovered,html.theme--documenter-dark .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#335476;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:focus,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:focus,html.theme--documenter-dark .button.is-primary.is-focused,html.theme--documenter-dark .docstring>section>a.button.is-focused.docs-sourcelink{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:focus:not(:active),html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:focus:not(:active),html.theme--documenter-dark .button.is-primary.is-focused:not(:active),html.theme--documenter-dark .docstring>section>a.button.is-focused.docs-sourcelink:not(:active){box-shadow:0 0 0 0.125em rgba(55,90,127,0.25)}html.theme--documenter-dark .button.is-primary:active,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:active,html.theme--documenter-dark .button.is-primary.is-active,html.theme--documenter-dark .docstring>section>a.button.is-active.docs-sourcelink{background-color:#2f4d6d;border-color:transparent;color:#fff}html.theme--documenter-dark 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.docstring>section>a.button.is-inverted.docs-sourcelink[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted,fieldset[disabled] html.theme--documenter-dark .docstring>section>a.button.is-inverted.docs-sourcelink{background-color:#fff;border-color:transparent;box-shadow:none;color:#375a7f}html.theme--documenter-dark .button.is-primary.is-loading::after,html.theme--documenter-dark .docstring>section>a.button.is-loading.docs-sourcelink::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-primary.is-outlined,html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink{background-color:transparent;border-color:#375a7f;color:#375a7f}html.theme--documenter-dark .button.is-primary.is-outlined:hover,html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-outlined.is-hovered,html.theme--documenter-dark 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diff --git a/v0.5.3/assets/themes/documenter-light.css b/v0.5.3/assets/themes/documenter-light.css
new file mode 100644
index 000000000..9b9a14b04
--- /dev/null
+++ b/v0.5.3/assets/themes/documenter-light.css
@@ -0,0 +1,9 @@
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+  Theme: Default
+  Description: Original highlight.js style
+  Author: (c) Ivan Sagalaev <maniac@softwaremaniacs.org>
+  Maintainer: @highlightjs/core-team
+  Website: https://highlightjs.org/
+  License: see project LICENSE
+  Touched: 2021
+*/pre code.hljs{display:block;overflow-x:auto}code.hljs{padding:3px 5px}.hljs{background:#F0F0F0;color:#444}.hljs-comment{color:#888888}.hljs-tag,.hljs-punctuation{color:#444a}.hljs-tag .hljs-name,.hljs-tag .hljs-attr{color:#444}.hljs-keyword,.hljs-attribute,.hljs-selector-tag,.hljs-meta .hljs-keyword,.hljs-doctag,.hljs-name{font-weight:bold}.hljs-type,.hljs-string,.hljs-number,.hljs-selector-id,.hljs-selector-class,.hljs-quote,.hljs-template-tag,.hljs-deletion{color:#880000}.hljs-title,.hljs-section{color:#880000;font-weight:bold}.hljs-regexp,.hljs-symbol,.hljs-variable,.hljs-template-variable,.hljs-link,.hljs-selector-attr,.hljs-operator,.hljs-selector-pseudo{color:#BC6060}.hljs-literal{color:#78A960}.hljs-built_in,.hljs-bullet,.hljs-code,.hljs-addition{color:#397300}.hljs-meta{color:#1f7199}.hljs-meta .hljs-string{color:#4d99bf}.hljs-emphasis{font-style:italic}.hljs-strong{font-weight:bold}
diff --git a/v0.5.3/assets/themeswap.js b/v0.5.3/assets/themeswap.js
new file mode 100644
index 000000000..c58e993e3
--- /dev/null
+++ b/v0.5.3/assets/themeswap.js
@@ -0,0 +1,66 @@
+// Small function to quickly swap out themes. Gets put into the <head> tag..
+function set_theme_from_local_storage() {
+  // Intialize the theme to null, which means default
+  var theme = null;
+  // If the browser supports the localstorage and is not disabled then try to get the
+  // documenter theme
+  if(window.localStorage != null) {
+    // Get the user-picked theme from localStorage. May be `null`, which means the default
+    // theme.
+    theme =  window.localStorage.getItem("documenter-theme");
+  }
+  // Check if the browser supports user color preference
+  var darkPreference = false;
+  // Check if the users preference is for dark color scheme
+  if(window.matchMedia('(prefers-color-scheme: dark)').matches === true) {
+    darkPreference = true;
+  }
+  // Initialize a few variables for the loop:
+  //
+  //  - active: will contain the index of the theme that should be active. Note that there
+  //    is no guarantee that localStorage contains sane values. If `active` stays `null`
+  //    we either could not find the theme or it is the default (primary) theme anyway.
+  //    Either way, we then need to stick to the primary theme.
+  //
+  //  - disabled: style sheets that should be disabled (i.e. all the theme style sheets
+  //    that are not the currently active theme)
+  var active = null; var disabled = []; var darkTheme = null;
+  for (var i = 0; i < document.styleSheets.length; i++) {
+    var ss = document.styleSheets[i];
+    // The <link> tag of each style sheet is expected to have a data-theme-name attribute
+    // which must contain the name of the theme. The names in localStorage much match this.
+    var themename = ss.ownerNode.getAttribute("data-theme-name");
+    // attribute not set => non-theme stylesheet => ignore
+    if(themename === null) continue;
+    // To distinguish the default (primary) theme, it needs to have the data-theme-primary
+    // attribute set.
+    var isprimary = (ss.ownerNode.getAttribute("data-theme-primary") !== null);
+    // Check if the theme is primary dark theme
+    var isDarkTheme = (ss.ownerNode.getAttribute("data-theme-primary-dark") !== null);
+    // If ss is for dark theme then set the value of darkTheme to the name of the theme
+    if(isDarkTheme) darkTheme = themename;
+    // If we find a matching theme (and it's not the default), we'll set active to non-null
+    if(themename === theme) active = i;
+    // Store the style sheets of inactive themes so that we could disable them
+    if(themename !== theme) disabled.push(ss);
+  }
+  if(active !== null) {
+    // If we did find an active theme, we'll (1) add the theme--$(theme) class to <html>
+    document.getElementsByTagName('html')[0].className = "theme--" + theme;
+    // and (2) disable all the other theme stylesheets
+    disabled.forEach(function(ss){
+      ss.disabled = true;
+    });
+  }
+  else if(darkTheme !== null && darkPreference === true) {
+    // If we did find an active theme, we'll (1) add the theme--$(theme) class to <html>
+    document.getElementsByTagName('html')[0].className = "theme--" + darkTheme;
+    // and (2) disable all the other theme stylesheets
+    disabled.forEach(function(ss){
+      if (ss.ownerNode.getAttribute("data-theme-name") !== darkTheme) {
+        ss.disabled = true;
+      }
+    });
+  }
+}
+set_theme_from_local_storage();
diff --git a/v0.5.3/assets/warner.js b/v0.5.3/assets/warner.js
new file mode 100644
index 000000000..5531c8851
--- /dev/null
+++ b/v0.5.3/assets/warner.js
@@ -0,0 +1,49 @@
+function maybeAddWarning () {
+    // DOCUMENTER_NEWEST is defined in versions.js, DOCUMENTER_CURRENT_VERSION and DOCUMENTER_STABLE
+    // in siteinfo.js.
+    // If either of these are undefined something went horribly wrong, so we abort.
+    if (
+            window.DOCUMENTER_NEWEST === undefined ||
+            window.DOCUMENTER_CURRENT_VERSION === undefined ||
+            window.DOCUMENTER_STABLE === undefined
+       ) {
+        return
+    };
+
+    // Current version is not a version number, so we can't tell if it's the newest version. Abort.
+    if (!/v(\d+\.)*\d+/.test(window.DOCUMENTER_CURRENT_VERSION)) {
+        return
+    };
+
+    // Current version is newest version, so no need to add a warning.
+    if (window.DOCUMENTER_NEWEST === window.DOCUMENTER_CURRENT_VERSION) {
+        return
+    };
+
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diff --git a/v0.5.3/index.html b/v0.5.3/index.html
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heat</a></li><li><a class="tocitem" href="man/shearheating/">Shear heating</a></li><li><a class="tocitem" href="man/gravity/">Gravity</a></li><li><a class="tocitem" href="man/melting/">Partial Melting</a></li><li><a class="tocitem" href="man/TASclassification/">TAS classification</a></li><li><a class="tocitem" href="man/zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="man/phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="man/seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="man/strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="man/plotting/">Plotting</a></li><li><a class="tocitem" href="man/listfunctions/">List of functions</a></li><li><a class="tocitem" href="man/contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Home</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Home</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/index.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="GeoParams.jl"><a class="docs-heading-anchor" href="#GeoParams.jl">GeoParams.jl</a><a id="GeoParams.jl-1"></a><a class="docs-heading-anchor-permalink" href="#GeoParams.jl" title="Permalink"></a></h1><p>Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:</p><ul><li>Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).</li><li>Material parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. </li></ul><p>We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="man/geounit/">GeoUnit »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Thursday 28 December 2023 11:51">Thursday 28 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.3/man/TASclassification/index.html b/v0.5.3/man/TASclassification/index.html
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>TAS classification · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li class="is-active"><a class="tocitem" href>TAS classification</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routine"><span>Computational routine</span></a></li></ul></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>TAS classification</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>TAS classification</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/TASclassification.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="TAS-rock-classification"><a class="docs-heading-anchor" href="#TAS-rock-classification">TAS rock classification</a><a id="TAS-rock-classification-1"></a><a class="docs-heading-anchor-permalink" href="#TAS-rock-classification" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>When doing coupled petrological-geodynamic modelling, the evolution of the composition of the magma is more easily understood when a rock type is given. This routine is an implementation of the TAS diagram (Total Alkali (TA) vs Silica (S)) from Le Maitre et al., 2002.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.TASclassificationData" href="#GeoParams.TASclassification.TASclassificationData"><code>GeoParams.TASclassification.TASclassificationData</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">TASclassificationData
+
+Struct that holds default parameters for the TAS diagram</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/RockClassification/TASclassification.jl#L47-L51">source</a></section></article><h1 id="Computational-routine"><a class="docs-heading-anchor" href="#Computational-routine">Computational routine</a><a id="Computational-routine-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routine" title="Permalink"></a></h1><p>There is one routine with which you can retrieve the index of the TAS rock-type. The routine receives as an input a compositional vector [SiO2,Na2O+K2O] in wt% and sends back an index [1-15].</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.computeTASclassification" href="#GeoParams.TASclassification.computeTASclassification"><code>GeoParams.TASclassification.computeTASclassification</code></a> — <span class="docstring-category">Function</span></header><section><div><p>classIndex computeTASclassification(chemComp::AbstractArray{_T,N}, ClassTASdata::TASclassificationData)</p><p>This compute the classification of the igneous rock using TAS diagram (Total Alkali (TA) vs Silica (S)).</p><p><strong>Input:</strong></p><ul><li><code>chemComp</code> : vector rock composition in oxide wt%</li></ul><p>Output:</p><ul><li><code>classIndex</code> : an integer [0-14] corresponding to a TAS field (TASclassificationData.litho[classIndex])</li></ul><p>This routine was developed based the TAS classification of Le Maitre et al., 2002</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/RockClassification/TASclassification.jl#L113-L127">source</a></section></article><p>Using the index of the rock-type you can get the name of the corresponding volcanic rock using the following routine.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.retrieveTASrockType" href="#GeoParams.TASclassification.retrieveTASrockType"><code>GeoParams.TASclassification.retrieveTASrockType</code></a> — <span class="docstring-category">Function</span></header><section><div><p>retrieveTASrockType(index::Int64; ClassTASdata::TASclassificationData = TASclassificationData())</p><p>This retrieves the name of the volcanic rock-type using the computed index</p><p><strong>Input:</strong></p><ul><li><code>index</code> : integer [1-15]</li></ul><p>Output:</p><ul><li><code>litho</code> : a string of the name of corresponding volcanic rock</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/RockClassification/TASclassification.jl#L93-L105">source</a></section></article><p>We also provide a plotting routine, provided the GLMakie.jl package is loaded, which produces figures such as: <img src="../assets/img/TAS_diagram.png" alt="subet3"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../melting/">« Partial Melting</a><a class="docs-footer-nextpage" href="../zirconages/">Zircon Ages »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Thursday 28 December 2023 11:51">Thursday 28 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Conductivity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Conductivity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/conductivity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Conductivity"><a class="docs-heading-anchor" href="#Conductivity">Conductivity</a><a id="Conductivity-1"></a><a class="docs-heading-anchor-permalink" href="#Conductivity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Thermal conductivity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.ConstantConductivity" href="#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantConductivity(k=3.0W/m/K)</code></pre><p>Set a constant conductivity</p><p class="math-container">\[    k  = cst\]</p><p>where <span>$k$</span> is the thermal conductivity [<span>$W/m/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Energy/Conductivity.jl#L29-L37">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington" href="#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Conductivity_Whittington()</code></pre><p>Sets a temperature-dependent conductivity following the parameterization of <em>Whittington, A.G., Hofmeister, A.M., Nabelek, P.I., 2009. Temperature-dependent thermal diffusivity of the Earth’s crust and implications for magmatism. Nature 458, 319–321. https://doi.org/10.1038/nature07818.</em> Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us to compute</p><p class="math-container">\[    Cp = a + b T - c/T^2\]</p><p class="math-container">\[    \kappa = d/T - e \textrm{ if } T&lt;=846K\]</p><p class="math-container">\[    \kappa = f - g*T \textrm{ if } T&gt;846K\]</p><p class="math-container">\[    \rho = 2700 kg/m^3\]</p><p class="math-container">\[    k = \kappa \rho Cp\]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/mol/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <code>T</code>:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>d = 576.3m^2/s*K</li><li>e = 0.062m^2/s</li><li>f = 0.732m^2/s</li><li>g = 0.000135m^2/s/K</li></ul><p>This looks like:</p><p><img src="../assets/img/Conductivity_Whittington.png" alt="subet1"/></p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; using GLMakie, GeoParams
+julia&gt; p=T_Conductivity_Whittington();
+julia&gt; T,k,plt = PlotConductivity(p)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Energy/Conductivity.jl#L80-L126">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised" href="#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Conductivity_Whittington_parameterised()</code></pre><p>Sets a temperature-dependent conductivity that is  parameterization after <em>Whittington, et al.  2009</em></p><p>The original parameterization involves quite a few parameters; this is a polynomial fit that is roughly valid from 0-1000 Celsius</p><p class="math-container">\[    k [W/m/K] = -2 10^{-9} (T-Ts)^3 + 6 10^{-6} (T-Ts)^2 - 0.0062 (T-Ts) + 4\]</p><p class="math-container">\[    Ts = 273.15 K\]</p><p>where <code>T[K]</code> is the temperature in Kelvin (or the nondimensional equivalent of it).</p><p>The comparison of this parameterisation vs. the original one is: <img src="../assets/img/Conductivity_Whittington_smooth.png" alt="subet1"/></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Energy/Conductivity.jl#L217-L235">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">TP_Conductivity()</code></pre><p>Sets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for</p><p class="math-container">\[    k = \left( a_k +  {b_k \over {T + c_k}} \right) (1 + d_k P)\]</p><p>where <span>$k$</span> is the conductivity [<span>$W/K/m$</span>], and <span>$a_k,b_k,c_k,d_k$</span> are parameters that dependent on the temperature <code>T</code> and pressure <code>P</code>:</p><ul><li><span>$a_k$</span> = 1.18Watt/K/m</li><li><span>$b_k$</span> = 474Watt/m</li><li><span>$c_k$</span> = 77K</li><li><span>$d_k$</span> = 0/MPa</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Energy/Conductivity.jl#L312-L327">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">Set_TP_Conductivity[&quot;Name of temperature(-pressure) dependent conductivity&quot;]</code></pre><p>This is a dictionary with pre-defined laws:</p><ul><li>&quot;UpperCrust&quot;</li><li>&quot;LowerCrust&quot;</li><li>&quot;OceanicCrust&quot;</li><li>&quot;Mantle&quot;</li></ul><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; k=Set_TP_Conductivity[&quot;Mantle&quot;]
+T/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Energy/Conductivity.jl#L350-L365">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">k = compute_conductivity(P, T, s:&lt;AbstractConductivity)</code></pre><p>Returns the thermal conductivity <code>k</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the parameterizations implemented.</p><p>Currently available:</p><ul><li>ConstantConductivity</li><li>T_Conductivity_Whittington</li><li>TP_Conductivity</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia hljs">julia&gt; T  = (250:100:1250)*K;
+julia&gt; cp = T_HeatCapacity_Whittington()
+julia&gt; Cp = ComputeHeatCapacity(0,T,cp)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Energy/Conductivity.jl#L497-L516">source</a></section><section><div><pre><code class="nohighlight hljs">compute_conductivity!(K::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},Temp::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of conductivity <code>K</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>Temp</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p>_________________________________________________________________________________________________________</p><p>compute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</p><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Energy/Conductivity.jl#L538-L550">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity!" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_conductivity(k_array::AbstractArray{&lt;:AbstractFloat,N},P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, s::ConstantConductivity) where N</code></pre><p>In-place routine to compute constant conductivity</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Energy/Conductivity.jl#L64-L68">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../heatcapacity/">« Heat Capacity</a><a class="docs-footer-nextpage" href="../latentheat/">Latent heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Thursday 28 December 2023 11:51">Thursday 28 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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If you invest a bit of time now, it will save others in the community a lot of time! The simplest way to do this is by cloning the repository, and creating a new branch for your feature. Once you are happy with what you added (and after you added a test to ensure that it will keep working with future changes), create a pull request and we will evaluate &amp; merge it.</p><h2 id="Style-Guide"><a class="docs-heading-anchor" href="#Style-Guide">Style Guide</a><a id="Style-Guide-1"></a><a class="docs-heading-anchor-permalink" href="#Style-Guide" title="Permalink"></a></h2><p>Follow the style of the surrounding text when making changes. When adding new features please try to stick to the following points whenever applicable.</p><h3 id="Julia"><a class="docs-heading-anchor" href="#Julia">Julia</a><a id="Julia-1"></a><a class="docs-heading-anchor-permalink" href="#Julia" title="Permalink"></a></h3><ul><li>4-space indentation;</li><li>modules spanning entire files should not be indented, but modules that have surrounding code should;</li><li>no blank lines at the start or end of files;</li><li>do not manually align syntax such as <code>=</code> or <code>::</code> over adjacent lines;</li><li>use <code>function ... end</code> when a method definition contains more than one toplevel expression;</li><li>related short-form method definitions don&#39;t need a new line between them;</li><li>unrelated or long-form method definitions must have a blank line separating each one;</li><li>surround all binary operators with whitespace except for <code>::</code>, <code>^</code>, and <code>:</code>;</li><li>files containing a single <code>module ... end</code> must be named after the module;</li><li>method arguments should be ordered based on the amount of usage within the method body;</li><li>methods extended from other modules must follow their inherited argument order, not the above rule;</li><li>explicit <code>return</code> should be preferred except in short-form method definitions;</li><li>avoid dense expressions where possible e.g. prefer nested <code>if</code>s over complex nested <code>?</code>s;</li><li>include a trailing <code>,</code> in vectors, tuples, or method calls that span several lines;</li><li>do not use multiline comments (<code>#=</code> and <code>=#</code>);</li><li>wrap long lines as near to 92 characters as possible, this includes docstrings;</li><li>follow the standard naming conventions used in <code>Base</code>.</li></ul><h3 id="Markdown"><a class="docs-heading-anchor" href="#Markdown">Markdown</a><a id="Markdown-1"></a><a class="docs-heading-anchor-permalink" href="#Markdown" title="Permalink"></a></h3><ul><li>Use unbalanced <code>#</code> headers, i.e. no <code>#</code> on the right hand side of the header text;</li><li>include a single blank line between toplevel blocks;</li><li>unordered lists must use <code>*</code> bullets with two preceding spaces;</li><li>do <em>not</em> hard wrap lines;</li><li>use emphasis (<code>*</code>) and bold (<code>**</code>) sparingly;</li><li>always use fenced code blocks instead of indented blocks;</li><li>follow the conventions outlined in the Julia documentation page on documentation.</li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../listfunctions/">« List of functions</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Thursday 28 December 2023 11:51">Thursday 28 December 2023</span>. 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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Creep laws · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Creep laws</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Creep laws</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/creeplaws.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="CreepLaws"><a class="docs-heading-anchor" href="#CreepLaws">CreepLaws</a><a id="CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#CreepLaws" title="Permalink"></a></h1><h1 id="Implemented-creep-laws"><a class="docs-heading-anchor" href="#Implemented-creep-laws">Implemented creep laws</a><a id="Implemented-creep-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-creep-laws" title="Permalink"></a></h1><p>The following viscous creep laws are implemented:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">LinearViscous(η=1e20Pa*s)</code></pre><p>Defines a linear viscous creeplaw </p><p>The (isotopic) linear viscous rheology is given by  </p><p class="math-container">\[    \tau_{ij} = 2 \eta \dot{\varepsilon}_{ij} \]</p><p>or</p><p class="math-container">\[    \dot{\varepsilon}_{ij}  = {\tau_{ij}  \over 2 \eta }\]</p><p>where <span>$\eta_0$</span> is the reference viscosity [Pa*s] at reference strain rate <span>$\dot{\varepsilon}_0$</span>[1/s], and <span>$n$</span> the power law exponent []. </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/CreepLaw/CreepLaw.jl#L79-L94">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)</code></pre><p>Defines a power law viscous creeplaw as: </p><p class="math-container">\[    \tau_{ij}^n  = 2 \eta_0 \left( \dot{\varepsilon}_{ij} \over \dot{\varepsilon}_0 \right)\]</p><p>where <span>$\eta$</span> is the effective viscosity [Pa*s].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/CreepLaw/CreepLaw.jl#L291-L300">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DislocationCreep(n = 1.0NoUnits, r = 0.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )</code></pre><p>Defines the flow law parameter of a dislocation creep law.</p><p>The (isotropic) dislocation creep law, as used by experimentalists, is given by  </p><p class="math-container">\[     \dot{\gamma} = A \sigma_\mathrm{d}^n f_\mathrm{H2O}^r \exp\left(-\frac{E+PV}{RT}\right)\]</p><p>where </p><ul><li><span>$n$</span> is the power law exponent  </li><li><span>$r$</span> is the exponent of fugacity dependence </li><li><span>$A$</span> is a pre-exponential factor <span>$[\mathrm{MPa}^{-n}s^{-1}]$</span> (if manually defined, <span>$n$</span> and <span>$r$</span> must be either pre-defined or substituted) </li><li><span>$E$</span> is the activation energy <span>$\mathrm{[kJ/mol]}$</span> </li><li><span>$V$</span> is the activation volume <span>$\mathrm{[m^3/mol]}$</span> </li><li><span>$\dot{\gamma}$</span> is the strain rate <span>$\mathrm{[1/s]}$</span> </li><li><span>$\sigma_\mathrm{d}$</span> is the differential stress <span>$\mathrm{[MPa]}$</span> which are converted into second invariants using the <code>Apparatus</code> variable that can be</li></ul><p>either <code>AxialCompression</code>, <code>SimpleShear</code> or <code>Invariant</code>. If the flow law parameters are already given as a function of second invariants, choose <code>Apparatus=Invariant</code>.</p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; x2 = DislocationCreep(n=3)
+DislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/CreepLaw/DislocationCreep.jl#L19-L43">source</a></section></article><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.SetDislocationCreep</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DiffusionCreep(r = 0NoUnits, p = A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )</code></pre><p>Defines the flow law parameter of a dislocation creep law.</p><p>The (isotropic) diffusion creep law, as used by experimentalists, is given by  </p><p class="math-container">\[     \dot{\gamma} = A \sigma_\mathrm{d} d^{\mathrm{p}} f_\mathrm{H2O}^r \exp\left(-\frac{E+PV}{RT}\right)\]</p><p>where </p><ul><li><span>$r$</span> is the exponent of fugacity dependence </li><li><span>$p$</span> is the exponent of grain size</li><li><span>$A$</span> is a pre-exponential factor <span>$[\mathrm{MPa}^{-n}s^{-1}]$</span> (if manually defined, <span>$n$</span> and <span>$r$</span> must be either pre-defined or substituted) </li><li><span>$E$</span> is the activation energy <span>$\mathrm{[kJ/mol]}$</span> </li><li><span>$V$</span> is the activation volume <span>$\mathrm{[m^3/mol]}$</span> </li><li><span>$\dot{\gamma}$</span> is the strain rate <span>$\mathrm{[1/s]}$</span> </li><li><span>$\sigma_\mathrm{d}$</span> is the differential stress <span>$\mathrm{[MPa]}$</span></li></ul><p>The experimental parameters are converted into second invariants using the <code>Apparatus</code> variable that can be either <code>AxialCompression</code>, <code>SimpleShear</code> or <code>Invariant</code>. If the flow law parameters are already given as a function of second invariants, choose <code>Apparatus=Invariant</code>.</p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; x2 = DiffusionCreep(Name=&quot;test&quot;)
+DiffusionCreep: Name = test, n=1.0, r=0.0, p=-3.0, A=1.5 m³·⁰ MPa⁻¹·⁰ s⁻¹·⁰, E=500.0 kJ mol⁻¹·⁰, V=2.4e-5 m³·⁰ mol⁻¹·⁰, FT=1.7320508075688772, FE=1.1547005383792517)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/CreepLaw/DiffusionCreep.jl#L23-L49">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetDiffusionCreep[&quot;Name of Diffusion Creep&quot;]</code></pre><p>This is a dictionary with pre-defined creep laws    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/CreepLaw/DiffusionCreep.jl#L338-L341">source</a></section></article><h1 id="Computational-routines-for-creep-laws"><a class="docs-heading-anchor" href="#Computational-routines-for-creep-laws">Computational routines for creep laws</a><a id="Computational-routines-for-creep-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines-for-creep-laws" title="Permalink"></a></h1><p>Once a creep rheology is defined, we can use the following routines to perform computations within the solvers</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>CreepLawVariables</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_εII(a::DiffusionCreep, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)</code></pre><p>Returns diffusion creep strainrate as a function of 2nd invariant of the stress tensor <span>$\tau_{II}$</span> </p><p class="math-container">\[    \dot{ε}_{II} = A τ_{II}^n d^{p} f_{H_2O}^r \exp \left(- {{E + PV} \over RT} \right)\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/CreepLaw/DiffusionCreep.jl#L135-L144">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(a::GrainBoundarySliding, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)</code></pre><p>Returns grain boundary sliding strainrate as a function of 2nd invariant of the stress tensor <span>$\tau_{II}$</span> </p><p class="math-container">\[    \dot{ε}_{II} = A τ_{II}^n d^{p} \exp \left(- {{E + PV} \over RT} \right)  #ÄNDERN!!!!!!!!\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/CreepLaw/GrainBoundarySliding.jl#L127-L136">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(s::ConstantElasticity{_T}, τII; τII_old, dt)</code></pre><p>Computes elastic strainrate given the deviatoric stress at the current (<code>τII</code>) and old timestep (<code>τII_old</code>), for a timestep <code>dt</code>:</p><p class="math-container">\[    \dot{\varepsilon}^{el} = {1 \over 2 G} {D \tau_{II} \over Dt } ≈ {1 \over 2 G} {\tau_{II}- \tilde{\tau}_{II}^{old} \over dt }\]</p><p>Note that we here solve the scalar equation, which is sufficient for isotropic cases. In tensor form, it would be</p><p class="math-container">\[    {\dot{\varepsilon}^{el}}_{ij} = {1 \over 2 G} { \tau_{ij} - \tilde{{\tau_{ij}}}^{old} \over dt }\]</p><p>here <span>$\tilde{{\tau_{ij}}}^{old}$</span> is the rotated old deviatoric stress tensor to ensure objectivity (this can be done with Jaumann derivative, or also by using the full rotational formula).</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Elasticity/Elasticity.jl#L107-L121">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(p::DruckerPrager{_T,U,U1}, λdot::_T, τII::_T,  P)</code></pre><p>This computes plastic strain rate invariant for a given <span>$λdot$</span></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Plasticity/DruckerPrager.jl#L126-L130">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(p::DruckerPrager_regularised{_T,U,U1}, λdot::_T, τII::_T,  P)</code></pre><p>This computes plastic strain rate invariant for a given <span>$λdot$</span></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Plasticity/DruckerPrager_regularised.jl#L129-L133">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::Parallel{T,N}, τII, args; tol=1e-6, verbose=false, n=1)</code></pre><p>Computing <code>εII</code> as a function of <code>τII</code> for a Parallel elements is (usually) a nonlinear problem</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/CompositeRheologies/Parallel.jl#L49-L53">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::CompositeRheology{T,N}, τII, args; tol=1e-6, verbose=false, n=1)</code></pre><p>Computing <code>εII</code> as a function of <code>τII</code> for a composite element is the sum of the individual contributions</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/CompositeRheologies/CompositeRheology.jl#L76-L80">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::AbstractPlasticity, τII::_T, args; tol=1e-6, verbose=true)</code></pre><p>Performs local iterations to compute the plastic strainrate. Note that the non-plastic strainrate, ε_np, should be part of <code>args</code></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/CompositeRheologies/NonlinearIterations.jl#L127-L131">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)</code></pre><p>Computes strainrate as a function of stress</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/CreepLaw/DiffusionCreep.jl#L171-L175">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)</code></pre><p>Computes strainrate as a function of stress</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/CreepLaw/GrainBoundarySliding.jl#L164-L168">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, s::LinearViscous, TauII::AbstractArray{_T,N})</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/CreepLaw/CreepLaw.jl#L112-L115">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, s::ArrheniusType, TauII::AbstractArray{_T,N})</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/CreepLaw/CreepLaw.jl#L224-L227">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(ε_el::AbstractArray{_T,N}, s::ConstantElasticity{_T}; τII::AbstractArray{_T,N}, τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)</code></pre><p>In-place computation of the elastic shear strainrate for given deviatoric stress invariants at the previous (<code>τII_old</code>) and new (<code>τII</code>) timestep, as well as the timestep <code>dt</code>  </p><p class="math-container">\[    \dot{\varepsilon}^{el} = {1 \over 2 G} {D \tau_{II} \over Dt } ≈ {1 \over 2 G} {\tau_{II}- \tau_{II}^{old} \over dt }\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Elasticity/Elasticity.jl#L151-L160">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_τII(a::DislocationCreep, EpsII; P, T, f, args...)</code></pre><p>Computes the stress for a Dislocation creep law given a certain strain rate</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/CreepLaw/DislocationCreep.jl#L190-L195">source</a></section><section><div><pre><code class="nohighlight hljs">computeCreepLaw_TauII(EpsII::_T, a::DiffusionCreep; T::_T, P=zero(_T), f=one(_T), d=one(_T), kwargs...)</code></pre><p>Returns diffusion creep stress as a function of 2nd invariant of the strain rate </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/CreepLaw/DiffusionCreep.jl#L228-L232">source</a></section><section><div><pre><code class="nohighlight hljs">computeCreepLaw_TauII(EpsII::_T, a::GrainBoundarySliding; T::_T, P=zero(_T), d=one(_T), kwargs...)</code></pre><p>Returns grain boundary sliding stress as a function of 2nd invariant of the strain rate </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/CreepLaw/GrainBoundarySliding.jl#L210-L214">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(a::PeierlsCreep, EpsII; P, T, f, args...)</code></pre><p>Computes the stress for a peierls creep law given a certain strain rate.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/CreepLaw/PeierlsCreep.jl#L174-L179">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(s::LinearViscous, EpsII; kwargs...)</code></pre><p>Returns second invariant of the stress tensor given a 2nd invariant of strain rate tensor </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/CreepLaw/CreepLaw.jl#L138-L142">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(s::ArrheniusType, EpsII; kwargs...)</code></pre><p>Returns second invariant of the stress tensor given a 2nd invariant of strain rate tensor </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/CreepLaw/CreepLaw.jl#L248-L252">source</a></section><section><div><pre><code class="nohighlight hljs">τII = compute_τII(v::CompositeRheology{T,N}, εII, args; tol=1e-6, verbose=false)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/CompositeRheologies/CompositeRheology.jl#L208-L211">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_τII!(TauII::AbstractArray{_T,N}, a::DislocationCreep, EpsII::AbstractArray{_T,N}; 
+    P =       zero(TauII)::AbstractArray{_T,N}, 
+    T = ones(size(TauII))::AbstractArray{_T,N}, 
+    f = ones(size(TauII))::AbstractArray{_T,N})</code></pre><p>Computes the deviatoric stress invariant for a dislocation creep law</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/CreepLaw/DislocationCreep.jl#L228-L235">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII!(TauII::AbstractArray{_T,N}, a::PeierlsCreep, EpsII::AbstractArray{_T,N}; 
+    T = ones(size(TauII))::AbstractArray{_T,N}, args...)</code></pre><p>Computes the deviatoric stress invariant for a peierls creep law.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/CreepLaw/PeierlsCreep.jl#L207-L213">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII!(τII::AbstractArray{_T,N}, s::ConstantElasticity{_T}. ε_el::AbstractArray{_T,N}; τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)</code></pre><p>In-place update of the elastic stress for given deviatoric strainrate invariants and stres invariant at the old (<code>τII_old</code>) timestep, as well as the timestep <code>dt</code>  </p><p class="math-container">\[    \tau_{II} = 2 G dt \dot{\varepsilon}^{el} + \tau_{II}^{old}\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Elasticity/Elasticity.jl#L175-L184">source</a></section></article><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.CorrectionFactor</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.RemoveTensorCorrection</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../density/">« Density</a><a class="docs-footer-nextpage" href="../customrheology/">Custom rheology »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Thursday 28 December 2023 11:51">Thursday 28 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Custom rheology · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Custom rheology</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Custom rheology</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/customrheology.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="User-defined-rheology"><a class="docs-heading-anchor" href="#User-defined-rheology"><code>User-defined rheology</code></a><a id="User-defined-rheology-1"></a><a class="docs-heading-anchor-permalink" href="#User-defined-rheology" title="Permalink"></a></h1><p><code>CustomRheology</code> allows the user to interface with <code>GeoParams.jl</code> API for rheology calculations: </p><pre><code class="language-julia hljs">struct CustomRheology{F1, F2, T} &lt;: AbstractCreepLaw
+    strain::F1
+    stress::F2
+    args::T
+end</code></pre><p>where <code>strain</code> and <code>stress</code> are functions that compute the strain rate and deviatoric stress tensors, respectively, and <code>args</code> is a <code>NamedTuple</code> containing any constant (i.e. <strong>immutable</strong>) physical parameters needed by our <code>CustomRheology</code>. </p><h2 id="Example:-Arrhenious-type-rheology"><a class="docs-heading-anchor" href="#Example:-Arrhenious-type-rheology">Example: Arrhenious-type rheology</a><a id="Example:-Arrhenious-type-rheology-1"></a><a class="docs-heading-anchor-permalink" href="#Example:-Arrhenious-type-rheology" title="Permalink"></a></h2><p>The deviatoric stress <span>$\tau_{ij}$</span> and strain rate tensors <span>$\dot{\varepsilon}_{ij}$</span> are simply     <span>$\tau_{ij} = 2 \eta \dot{\varepsilon}_{ij} \qquad \dot{\varepsilon}_{ij}  = {\tau_{ij}  \over 2 \eta}$</span></p><p>and the viscosity <span>$\eta$</span> is temperature-dependant     <span>$\eta = \eta_{0} * \exp\left(\frac{E}{T+T_{o}}-\frac{E}{T_{\eta}+T_{o}}\right)$</span></p><p>where <span>$\eta_0$</span> and <span>$T_{\eta}$</span> are the respective reference viscosity and temperature, <span>$T_o$</span> is the offset temperature, <span>$T$</span> is the local temperature, and <span>$E$</span> is activation energy. </p><p>Before defining the functions to compute <span>$\tau$</span> and <span>$\dot{\varepsilon}$</span>, it is convenient to define a helper function to compute the viscosity:</p><pre><code class="language-julia hljs">@inline function custom_viscosity(
+    a::CustomRheology; T = 0.0, kwargs...
+)
+    (; η0, E, To, Tη) = a.args
+    η = η0 * exp(E / (T + To) - E / (Tη + To))
+    return  η
+end</code></pre><p>Then we just need to define two simple functions to compue the second invariants of <span>$\tau_{ij}$</span> and <span>$\dot{\varepsilon}_{ij}$</span>:</p><pre><code class="language-julia hljs"># function to compute deviatoric stress
+@inline function custom_τII(
+    a::CustomRheology, EpsII; kwargs...
+)
+    η = custom_viscosity(a; kwargs...)
+    return 2.0 * (η * EpsII)
+end
+
+# function to compute strain rate
+@inline function custom_εII(
+    a::CustomRheology, TauII; kwargs...
+)
+    η = custom_viscosity(a; kwargs...)
+    return (TauII / η) * 0.5
+end</code></pre><p>Note that the key word argument <code>kwargs...</code> is needed in all the above functions for compatibility with <code>GeoParams.jl</code>. </p><p>Finally, we need a <code>NamedTuple</code> containing the physical parameters needed by <code>custom_τII</code> and <code>custom_εII</code>:</p><pre><code class="language-julia hljs"># constant parameters, these are typically wrapped into a struct (compulsory)
+parameters = (;
+    η0 = 1.0,
+    E = 23.03,
+    To = 1.0,
+    Tη = 1.0,
+)</code></pre><p>Then the <code>CustomRheology</code> object is created</p><pre><code class="language-julia hljs">a = CustomRheology(custom_εII, custom_τII, parameters)</code></pre><p>Now we can use our new rheology object with <code>GeoParams.jl</code> methods:</p><pre><code class="language-julia-repl hljs">julia&gt; args = (; T=0.5)
+(T = 0.5,)
+
+julia&gt; τII, εII = 1.5,  0.5
+(1.5, 0.5)
+
+julia&gt; ε = compute_εII(v, τII, args)
+0.016147090412110487
+
+julia&gt; τ = compute_τII(v, εII, args)
+46.44799656521971
+
+julia&gt; dεdτ = dεII_dτII(v, τII, args)
+0.010764726941406991
+
+julia&gt; dτdε = dτII_dεII(v, εII, args)
+92.89599313043942</code></pre><p>And also works for composite rheologies:</p><pre><code class="language-julia-repl hljs">julia&gt; el = ConstantElasticity(; G=1.0)
+Linear elasticity with shear modulus: G = 1.0, Poisson&#39;s ratio: ν = 0.5, bulk modulus: Kb = Inf and Young&#39;s module: E=NaN
+
+julia&gt; c = CompositeRheology(v, el)
+--?????----/\/\/--
+
+julia&gt; args = (; dt=Inf, T=0.5)
+(dt = Inf, T = 0.5)
+
+julia&gt; ε = compute_εII(c, τII, args)
+0.016147090412110487
+
+julia&gt; τ = compute_τII(c, εII, args)
+46.44799656521971</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../creeplaws/">« Creep laws</a><a class="docs-footer-nextpage" href="../viscosity/">Viscosity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Thursday 28 December 2023 11:51">Thursday 28 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.3/man/density/index.html b/v0.5.3/man/density/index.html
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@@ -0,0 +1,48 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Density · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li class="is-active"><a class="tocitem" href>Density</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" 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href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Density</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Density</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/density.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Density"><a class="docs-heading-anchor" href="#Density">Density</a><a id="Density-1"></a><a class="docs-heading-anchor-permalink" href="#Density" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>The density equation of state can be specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.ConstantDensity" href="#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantDensity(ρ=2900kg/m^3)</code></pre><p>Set a constant density:</p><p class="math-container">\[    \rho  = cst\]</p><p>where <span>$\rho$</span> is the density [<span>$kg/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Density/Density.jl#L39-L47">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.PT_Density" href="#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)</code></pre><p>Set a pressure and temperature-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 (1.0 - \alpha (T-T_0) + \beta  (P-P_0) )  \]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference temperature <span>$T_0$</span> and pressure <span>$P_0$</span>, <span>$\alpha$</span> is the temperature dependence of density and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Density/Density.jl#L81-L90">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.Compressible_Density" href="#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)</code></pre><p>Set a pressure-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 \exp(β*(P - P\_0))  \]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference pressure <span>$P_0$</span> and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Density/Density.jl#L134-L142">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To evaluate density within a user routine, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density" href="#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_density(P,T, s::PhaseDiagram_LookupTable)</code></pre><p>Interpolates density as a function of <code>T,P</code> from a lookup table  </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Density/Density.jl#L182-L185">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density!" href="#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I&lt;:Integer}</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; MatParam = (SetMaterialParams(Name=&quot;Mantle&quot;, Phase=1,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                        Density   = PT_Density()
+                        ),
+                    SetMaterialParams(Name=&quot;Crust&quot;, Phase=2,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),
+                        Density   = ConstantDensity(ρ=2900kg/m^3))
+                  );
+julia&gt; Phases = ones(Int64,400,400);
+julia&gt; Phases[:,20:end] .= 2
+julia&gt; rho     = zeros(size(Phases))
+julia&gt; T       =  ones(size(Phases))
+julia&gt; P       =  ones(size(Phases))*10
+julia&gt; args = (P=P, T=T)
+julia&gt; compute_density!(rho, MatParam, Phases, args)
+julia&gt; rho
+400×400 Matrix{Float64}:
+2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮                            
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0</code></pre><p>The routine is made to minimize allocations:</p><pre><code class="language-julia hljs">julia&gt; using BenchmarkTools
+julia&gt; @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)
+    203.468 μs (0 allocations: 0 bytes)</code></pre><p>_____________________________________________________________________________________________________________________________   </p><pre><code class="nohighlight hljs">compute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Density/Density.jl#L205-L270">source</a></section></article><p>Note that density values are usually not used in itself in the governing PDE&#39;s, but usually in combination with other parameters, such as <span>$\rho g$</span> or <span>$\rho c_p$</span>. the non-dimensional value of <span>$\rho$</span> may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../materialparameters/">« Material Parameters</a><a class="docs-footer-nextpage" href="../creeplaws/">Creep laws »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Thursday 28 December 2023 11:51">Thursday 28 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.3/man/elasticity/index.html b/v0.5.3/man/elasticity/index.html
new file mode 100644
index 000000000..c1a7668ec
--- /dev/null
+++ b/v0.5.3/man/elasticity/index.html
@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Elasticity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li class="is-active"><a class="tocitem" href>Elasticity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Implemented-laws"><span>Implemented laws</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Elasticity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Elasticity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/elasticity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Elasticity"><a class="docs-heading-anchor" href="#Elasticity">Elasticity</a><a id="Elasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Elasticity" title="Permalink"></a></h1><p>Elasticity is, in geodynamics, often used in combination with viscous and plastic rheology.</p><h1 id="Implemented-laws"><a class="docs-heading-anchor" href="#Implemented-laws">Implemented laws</a><a id="Implemented-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-laws" title="Permalink"></a></h1><p>We provide the following elastic constitutive relationships:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantElasticity(G, ν, K, E)</code></pre><p>Structure that holds parameters for constant, isotropic, linear elasticity.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Elasticity/Elasticity.jl#L30-L34">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetConstantElasticity(; G=nothing, ν=nothing, E=nothing, Kb=nothing)</code></pre><p>This allows setting elastic parameters by specifying 2 out of the 4 elastic parameters <code>G</code> (Elastic shear modulus), <code>ν</code> (Poisson&#39;s ratio), <code>E</code> (Young&#39;s modulus), or <code>Kb</code> (bulk modulus).</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Elasticity/Elasticity.jl#L46-L50">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>We can compute the elastic strainrate with:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_εII</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_εII!</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../viscosity/">« Viscosity</a><a class="docs-footer-nextpage" href="../plasticity/">Plasticity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Thursday 28 December 2023 11:51">Thursday 28 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.3/man/geounit/index.html b/v0.5.3/man/geounit/index.html
new file mode 100644
index 000000000..03bcaccd0
--- /dev/null
+++ b/v0.5.3/man/geounit/index.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>GeoUnit · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li class="is-active"><a class="tocitem" href>GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>GeoUnit</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>GeoUnit</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/geounit.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="GeoUnit"><a class="docs-heading-anchor" href="#GeoUnit"><code>GeoUnit</code></a><a id="GeoUnit-1"></a><a class="docs-heading-anchor-permalink" href="#GeoUnit" title="Permalink"></a></h1><p>Most parameters have physical units (100km, 9.81 ms⁻²). Yet, within numerical solvers it is usually not a good idea to compute with the actual SI units as they (at least in geosciences) tend to result in very large/small numbers, which can cause in roundoff errors.  Therefore, we usually convert the dimensional units into non-dimensional ones befeore starting computations. The results can than be converted back to more convenient units for us when we generate the output (plots, for example).</p><p>This requires a way to store the dimensions of a parameter, but also, once they are made nondimensional, the original units (otherwise we can&#39;t convert them back to dimensional values).</p><p>For that reason, we use the <code>GeoUnit</code> structure, defined as </p><pre><code class="language-julia hljs">struct GeoUnit{T,U}
+    val          :: T
+    unit         :: U
+    isdimensional:: Bool
+end</code></pre><p>You can define a GeoUnit as:</p><pre><code class="language-julia hljs">julia&gt; a = GeoUnit(100km)
+GeoUnit{dimensional, km}, 
+100.0
+julia&gt; b=GeoUnit(100s)
+GeoUnit{dimensional, s}, 
+100.0</code></pre><p>Dividing the two gives the expected result</p><pre><code class="language-julia hljs">julia&gt; c=a/b
+GeoUnit{dimensional, km s⁻¹·⁰}, 
+1.0</code></pre><p>Can also be a vector:</p><pre><code class="language-julia hljs">julia&gt; T = GeoUnit(100K:10.0K:1000K)
+GeoUnit{dimensional, K}, 
+100.0:10.0:1000.0</code></pre><p>The numerical value is obtained with:</p><pre><code class="language-julia hljs">julia&gt; NumValue(c)
+1.0</code></pre><p>It&#39;s unit with</p><pre><code class="language-julia hljs">julia&gt; Unit(c)
+km s⁻¹·⁰</code></pre><p>and the value with unit with</p><pre><code class="language-julia hljs">julia&gt; Value(c)
+1.0 km s⁻¹·⁰</code></pre><p>If you multiply or divide a <code>GeoUnit</code> with a normal number, we assume that you are no longer interested in the units and you&#39;ll get a Float64:</p><pre><code class="language-julia hljs">julia&gt; c*100
+100.0</code></pre><p>The value of the <code>GeoUnit</code> struct becomes clear once we non-dimensionalize it (as explained in more detail in a separate page). For that, first specify which characteristic values you want to use for non-dimensionalisation: </p><pre><code class="language-julia hljs">julia&gt; CharDim = GEO_units(length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas);</code></pre><p>Let&#39;s define a stress:</p><pre><code class="language-julia hljs">julia&gt; σ=GeoUnit(10MPa)
+GeoUnit{dimensional, MPa}, 
+10.0</code></pre><p>And transfer it to nondimensional units:</p><pre><code class="language-julia hljs">julia&gt; σ_nd = nondimensionalize(σ,CharDim)
+GeoUnit{nondimensional, MPa}, 
+0.9999999999999998</code></pre><p>Instead of 1e7 Pa, we now have 1.0; yet at the same time we know that the original unit of σ_nd was in MPa, which allows to transfer it back to dimensional units:</p><pre><code class="language-julia hljs">julia&gt; dimensionalize(σ_nd,CharDim)
+GeoUnit{dimensional, MPa}, 
+10.0</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../">« Home</a><a class="docs-footer-nextpage" href="../nondimensionalize/">Nondimensionalization »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Thursday 28 December 2023 11:51">Thursday 28 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.3/man/gravity/index.html b/v0.5.3/man/gravity/index.html
new file mode 100644
index 000000000..23c0fca19
--- /dev/null
+++ b/v0.5.3/man/gravity/index.html
@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Gravity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li class="is-active"><a class="tocitem" href>Gravity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Gravity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Gravity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/gravity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Gravitational-acceleration"><a class="docs-heading-anchor" href="#Gravitational-acceleration">Gravitational acceleration</a><a id="Gravitational-acceleration-1"></a><a class="docs-heading-anchor-permalink" href="#Gravitational-acceleration" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Gravitational acceleration is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">GravityConstant(g=9.81m/s^2)</code></pre><p>Set a constant value for the gravitational acceleration:</p><p class="math-container">\[    g  = 9.81 m s^{-2}\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/GravitationalAcceleration/GravitationalAcceleration.jl#L18-L25">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a> — <span class="docstring-category">Function</span></header><section><div><p>compute_gravity(s:&lt;AbstractGravity)</p><p>Returns the gravitational acceleration </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/GravitationalAcceleration/GravitationalAcceleration.jl#L61-L66">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../shearheating/">« Shear heating</a><a class="docs-footer-nextpage" href="../melting/">Partial Melting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Thursday 28 December 2023 11:51">Thursday 28 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.3/man/heatcapacity/index.html b/v0.5.3/man/heatcapacity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Heat Capacity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li class="is-active"><a class="tocitem" href>Heat Capacity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Heat Capacity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Heat Capacity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/heatcapacity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Heat-capacity"><a class="docs-heading-anchor" href="#Heat-capacity">Heat capacity</a><a id="Heat-capacity-1"></a><a class="docs-heading-anchor-permalink" href="#Heat-capacity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Heat capacity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity" href="#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantHeatCapacity(cp=1050J/mol/kg)</code></pre><p>Set a constant heat capacity:</p><p class="math-container">\[    cp  = cst\]</p><p>where <span>$cp$</span> is the thermal heat capacity [<span>$J/kg/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Energy/HeatCapacity.jl#L26-L34">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington" href="#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_HeatCapacity_Whittington()</code></pre><p>Sets a temperature-dependent heat capacity following the parameterization of Whittington et al. (2009), Nature:</p><p class="math-container">\[    Cp = (a + b T - c/T^2)/m \]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/kg/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <code>T</code>:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>molmass =   0.22178kg/mol </li></ul><p>Note that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than <span>$J/mol/K$</span> as in eq.3/4 of the paper)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Energy/HeatCapacity.jl#L59-L77">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">Cp = compute_heatcapacity(s:&lt;AbstractHeatCapacity, P, T)</code></pre><p>Returns the heat capacity <code>Cp</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the heat capacity laws implemented.</p><p>Currently available:</p><ul><li>ConstantHeatCapacity</li><li>T_HeatCapacity_Whittington</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia hljs">julia&gt; T  = (250:100:1250)*K;
+julia&gt; cp = T_HeatCapacity_Whittington()
+julia&gt; Cp = ComputeHeatCapacity(0,T,cp)
+11-element Vector{Unitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:
+  635.4269997294616 J kg⁻¹ K⁻¹
+  850.7470171764261 J kg⁻¹ K⁻¹
+  962.0959598489883 J kg⁻¹ K⁻¹
+ 1037.5420433770641 J kg⁻¹ K⁻¹
+ 1097.3517921966488 J kg⁻¹ K⁻¹
+ 1149.2745563671706 J kg⁻¹ K⁻¹
+ 1157.7915050948404 J kg⁻¹ K⁻¹
+ 1172.3554874197264 J kg⁻¹ K⁻¹
+ 1186.9194697445964 J kg⁻¹ K⁻¹
+  1201.483452069455 J kg⁻¹ K⁻¹
+ 1216.0474343943067 J kg⁻¹ K⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Energy/HeatCapacity.jl#L145-L175">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_heatcapacity!(Cp::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat})</code></pre><p>In-place computation of heat capacity <code>Cp</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Energy/HeatCapacity.jl#L197-L202">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plasticity/">« Plasticity</a><a class="docs-footer-nextpage" href="../conductivity/">Conductivity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Thursday 28 December 2023 11:51">Thursday 28 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.3/man/latentheat/index.html b/v0.5.3/man/latentheat/index.html
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+++ b/v0.5.3/man/latentheat/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Latent heat · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li class="is-active"><a class="tocitem" href>Latent heat</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Latent heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Latent heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/latentheat.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Latent-heat"><a class="docs-heading-anchor" href="#Latent-heat">Latent heat</a><a id="Latent-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Latent-heat" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Latent heat (of crystallisation) is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat" href="#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantLatentHeat(Q_L=400kJ/kg)</code></pre><p>Set a constant latent heat:</p><p class="math-container">\[    Q_L  = cst\]</p><p>where <span>$Q_L$</span> is the latent heat [<span>$kJ/kg$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Energy/LatentHeat.jl#L22-L30">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.LatentHeat.compute_latent_heat</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../conductivity/">« Conductivity</a><a class="docs-footer-nextpage" href="../radioactiveheating/">Radioactive heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Thursday 28 December 2023 11:51">Thursday 28 December 2023</span>. 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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>List of functions · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input 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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li class="is-active"><a class="tocitem" href>List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>List of functions</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>List of functions</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/listfunctions.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="List-of-all-functions"><a class="docs-heading-anchor" href="#List-of-all-functions">List of all functions</a><a id="List-of-all-functions-1"></a><a class="docs-heading-anchor-permalink" href="#List-of-all-functions" title="Permalink"></a></h1><p>This page details the some of the guidelines that should be followed when contributing to this package.</p><ul><li><a href="../nondimensionalize/#GeoParams.Units"><code>GeoParams.Units</code></a></li><li><a href="../strengthenvelope/#GeoParams.ConstTemp"><code>GeoParams.ConstTemp</code></a></li><li><a href="../strengthenvelope/#GeoParams.HalfspaceCoolTemp"><code>GeoParams.HalfspaceCoolTemp</code></a></li><li><a href="../strengthenvelope/#GeoParams.LinTemp"><code>GeoParams.LinTemp</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington</code></a></li><li><a href="../latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a></li><li><a href="../phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_4thOrder"><code>GeoParams.MeltingParam.MeltingParam_4thOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_5thOrder"><code>GeoParams.MeltingParam.MeltingParam_5thOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Assimilation"><code>GeoParams.MeltingParam.MeltingParam_Assimilation</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Quadratic"><code>GeoParams.MeltingParam.MeltingParam_Quadratic</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.SmoothMelting"><code>GeoParams.MeltingParam.SmoothMelting</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.TASclassificationData"><code>GeoParams.TASclassification.TASclassificationData</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.ZirconAgeData"><code>GeoParams.ZirconAges.ZirconAgeData</code></a></li><li><a href="../strengthenvelope/#GeoParams.CompTempStruct"><code>GeoParams.CompTempStruct</code></a></li><li><a href="../strengthenvelope/#GeoParams.LithPres"><code>GeoParams.LithPres</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_dϕdT"><code>GeoParams.MeltingParam.compute_dϕdT</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_dϕdT!"><code>GeoParams.MeltingParam.compute_dϕdT!</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a></li><li><a href="../phasediagrams/#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a></li><li><a href="../plotting/#GeoParams.PlotConductivity"><code>GeoParams.PlotConductivity</code></a></li><li><a href="../plotting/#GeoParams.PlotDeformationMap"><code>GeoParams.PlotDeformationMap</code></a></li><li><a href="../plotting/#GeoParams.PlotHeatCapacity"><code>GeoParams.PlotHeatCapacity</code></a></li><li><a href="../melting/#GeoParams.PlotMeltFraction"><code>GeoParams.PlotMeltFraction</code></a></li><li><a href="../plotting/#GeoParams.PlotPhaseDiagram"><code>GeoParams.PlotPhaseDiagram</code></a></li><li><a href="../strengthenvelope/#GeoParams.StrengthEnvelopeComp"><code>GeoParams.StrengthEnvelopeComp</code></a></li><li><a href="../strengthenvelope/#GeoParams.StrengthEnvelopePlot"><code>GeoParams.StrengthEnvelopePlot</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.computeTASclassification"><code>GeoParams.TASclassification.computeTASclassification</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.retrieveTASrockType"><code>GeoParams.TASclassification.retrieveTASrockType</code></a></li><li><a href="../tables/#GeoParams.Tables.Dict2LatexTable"><code>GeoParams.Tables.Dict2LatexTable</code></a></li><li><a href="../tables/#GeoParams.Tables.Dict2MarkdownTable"><code>GeoParams.Tables.Dict2MarkdownTable</code></a></li><li><a href="../tables/#GeoParams.Tables.ParameterTable"><code>GeoParams.Tables.ParameterTable</code></a></li><li><a href="../tables/#GeoParams.Tables.Phase2Dict"><code>GeoParams.Tables.Phase2Dict</code></a></li><li><a href="../tables/#GeoParams.Tables.Phase2DictMd"><code>GeoParams.Tables.Phase2DictMd</code></a></li><li><a href="../tables/#GeoParams.Tables.detachFloatfromExponent"><code>GeoParams.Tables.detachFloatfromExponent</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.compute_zircon_age_PDF"><code>GeoParams.ZirconAges.compute_zircon_age_PDF</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.compute_zircons_Ttpath"><code>GeoParams.ZirconAges.compute_zircons_Ttpath</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.zircon_age_PDF"><code>GeoParams.ZirconAges.zircon_age_PDF</code></a></li><li><a href="../viscosity/#GeoParams.compute_viscosity_εII"><code>GeoParams.compute_viscosity_εII</code></a></li><li><a href="../viscosity/#GeoParams.compute_viscosity_τII"><code>GeoParams.compute_viscosity_τII</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a></li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plotting/">« Plotting</a><a class="docs-footer-nextpage" href="../contributing/">Contributing »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Thursday 28 December 2023 11:51">Thursday 28 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.3/man/materialparameters/index.html b/v0.5.3/man/materialparameters/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Material Parameters · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li class="is-active"><a class="tocitem" href>Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Material Parameters</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Material Parameters</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/materialparameters.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="MaterialParameters"><a class="docs-heading-anchor" href="#MaterialParameters">MaterialParameters</a><a id="MaterialParameters-1"></a><a class="docs-heading-anchor-permalink" href="#MaterialParameters" title="Permalink"></a></h1><p>Material properties for a given phase can be set with <code>SetMaterialParams</code>, whereas all properties are  stored in the <code>MaterialParams</code> structure. Information about the material parameter is found at <code>MaterialParamsInfo</code>. This can be employed </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParamsInfo" href="#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MaterialParamsInfo</code></pre><p>Structure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.</p><p>Usually used in combination with <code>param_info(the_parameter_of_interest)</code></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/MaterialParameters.jl#L25-L33">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SetMaterialParams" href="#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetMaterialParams(; Name::String=&quot;&quot;, Phase::Int64=1,
+                    Density             =   nothing, 
+                    Gravity             =   nothing,
+                    CreepLaws           =   nothing, 
+                    Elasticity          =   nothing, 
+                    Plasticity          =   nothing, 
+                    CompositeRheology   =   nothing,
+                    Conductivity        =   nothing, 
+                    HeatCapacity        =   nothing, 
+                    RadioactiveHeat     =   nothing,
+                    LatentHeat          =   nothing,
+                    ShearHeat           =   nothing,
+                    Melting             =   nothing,
+                    SeismicVelocity     =   nothing,
+                    CharDim::GeoUnits   =   nothing)</code></pre><p>Sets material parameters for a given phase. </p><p>If <code>CharDim</code> is specified the input parameters are non-dimensionalized.   Note that if <code>Density</code> is specified, we also set <code>Gravity</code> even if not explicitly listed</p><p><strong>Examples</strong></p><p>Define two viscous creep laws &amp; constant density:</p><pre><code class="language-julia-repl hljs">julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;,
+                       Density   = ConstantDensity(),
+                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))
+Phase 1 : Viscous Matrix
+        | [dimensional units]
+        | 
+        |-- Density           : Constant density: ρ=2900 kg m⁻³ 
+        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  
+        |                       Linear viscosity: η=1.0e21 Pa s</code></pre><p>Define two viscous creep laws &amp; P/T dependent density and nondimensionalize</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);
+julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;, Phase=33,
+                              Density   = PT_Density(),
+                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),
+                              CharDim   = CharUnits_GEO)
+Phase 33: Viscous Matrix
+        | [non-dimensional units]
+        | 
+        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0 
+        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18 
+        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001  
+        |                       Linear viscosity: η=10000.0 </code></pre><p>You can also create an array that holds several parameters:</p><pre><code class="language-julia-repl hljs">julia&gt; MatParam        =   Array{MaterialParams, 1}(undef, 2);
+julia&gt; Phase           =   1;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Upper Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                            Density  = ConstantDensity(ρ=2900kg/m^3));
+julia&gt; Phase           =   2;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Lower Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),
+                            Density  = PT_Density(ρ0=3000kg/m^3));
+julia&gt; MatParam
+2-element Vector{MaterialParams}:
+ Phase 1 : Upper Crust
+    | [dimensional units]
+    | 
+    |-- Density           : Constant density: ρ=2900 kg m⁻³ 
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  
+    |                       Linear viscosity: η=1.0e23 Pa s 
+                            
+ Phase 2 : Lower Crust
+    | [dimensional units]
+    | 
+    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa 
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹  
+    |                       Linear viscosity: η=1.0e21 Pa s </code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/MaterialParameters.jl#L99-L184">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParams" href="#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MaterialParams</code></pre><p>Structure that holds all material parameters for a given phase</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/MaterialParameters.jl#L59-L64">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../nondimensionalize/">« Nondimensionalization</a><a class="docs-footer-nextpage" href="../density/">Density »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Thursday 28 December 2023 11:51">Thursday 28 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.3/man/melting/index.html b/v0.5.3/man/melting/index.html
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--- /dev/null
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Partial Melting · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li class="is-active"><a class="tocitem" href>Partial Melting</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Plotting-routines"><span>Plotting routines</span></a></li></ul></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Partial Melting</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Partial Melting</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/melting.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Melting-Parameterizations"><a class="docs-heading-anchor" href="#Melting-Parameterizations">Melting Parameterizations</a><a id="Melting-Parameterizations-1"></a><a class="docs-heading-anchor-permalink" href="#Melting-Parameterizations" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>A number of melting parameterisations are implemented, which can be set with:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Caricchi" href="#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Caricchi()</code></pre><p>Implements the T-dependent melting parameterisation used by Caricchi, Simpson et al. (as for example described in Simpson)</p><p class="math-container">\[    \theta = {(a - (T + c)) \over b}\]</p><p class="math-container">\[    \phi_{melt} = {1.0 \over (1.0 + e^\theta)}\]</p><p>Note that T is in Kelvin. As default parameters we employ:</p><p class="math-container">\[b=23K,  a=800K , c=273.15K\]</p><p>Which gives a reasonable fit to experimental data of granodioritic composition (Piwinskii and Wyllie, 1968):</p><p><img src="../assets/img/MeltingParam_Caricchi.png" alt="MeltParam_Carrichi"/></p><p><strong>References</strong></p><ul><li>Simpson G. (2017) Practical finite element modelling in Earth Sciences Using MATLAB.</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/MeltFraction/MeltingParameterization.jl#L33-L55">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_5thOrder" href="#GeoParams.MeltingParam.MeltingParam_5thOrder"><code>GeoParams.MeltingParam.MeltingParam_5thOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_5thOrder(a,b,c,d,e,f,T_s,T_l)</code></pre><p>Uses a 5th order polynomial to describe the melt fraction <code>phi</code> between solidus temperature <code>T_s</code> and liquidus temperature <code>T_l</code></p><p class="math-container">\[    \phi = a T^5 + b T^4 + c T^3 + d T^2 + e T + f  \textrm{   for   } T_s ≤ T ≤ T_l\]</p><p class="math-container">\[    \phi = 1  \textrm{   if   } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0  \textrm{   if   } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_5thorder.png" alt="MeltingParam_5thOrder"/></p><p>The default values are for a composite liquid-line-of-descent:</p><ul><li>the upper part is for Andesite from: (Blatter, D. L. &amp; Carmichael, I. S. (2001) Hydrous phase equilibria of a Mexican highsilica andesite: a candidate for a mantle origin? Geochim. Cosmochim. Acta 65, 4043–4065</li><li>the lower part is extrapolated to the granitic minimum using the Marxer &amp; Ulmer LLD for Andesite (Marxer, F. &amp; Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. <em>Contributions Mineral. Petrol.</em> 174, 84)</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/MeltFraction/MeltingParameterization.jl#L93-L114">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_4thOrder" href="#GeoParams.MeltingParam.MeltingParam_4thOrder"><code>GeoParams.MeltingParam.MeltingParam_4thOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_4thOrder(b,c,d,e,f,T_s,T_l)</code></pre><p>Uses a 4th order polynomial to describe the melt fraction <code>phi</code> between solidus temperature <code>T_s</code> and liquidus temperature <code>T_l</code></p><p class="math-container">\[    \phi = b T^4 + c T^3 + d T^2 + e T + f  \textrm{   for   } T_s ≤ T ≤ T_l\]</p><p class="math-container">\[    \phi = 1 \textrm{   if   } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0  \textrm{   if   } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_4thorder.png" alt="MeltingParam_4thOrder"/></p><p>The default values are for Tonalite experiments from Marxer and Ulmer (2019):</p><ul><li>Marxer, F. &amp; Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. <em>Contributions Mineral. Petrol.</em> 174, 84</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/MeltFraction/MeltingParameterization.jl#L176-L196">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Quadratic" href="#GeoParams.MeltingParam.MeltingParam_Quadratic"><code>GeoParams.MeltingParam.MeltingParam_Quadratic</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Quadratic(T_s,T_l)</code></pre><p>Quadratic melt fraction parameterisation where melt fraction <span>$\phi$</span> depends only on solidus (<span>$T_s$</span>) and liquidus (<span>$T_l$</span>) temperature:</p><p class="math-container">\[    \phi = 1.0 - \left( {T_l - T} \over {T_l - T_s} \right)^2\]</p><p class="math-container">\[    \phi = 1.0 \textrm{ if } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0.0 \textrm{ if } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_Quadratic.png" alt="MeltingParam_Quadratic"/></p><p>This was used, among others, in Tierney et al. (2016) Geology</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/MeltFraction/MeltingParameterization.jl#L261-L280">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Assimilation" href="#GeoParams.MeltingParam.MeltingParam_Assimilation"><code>GeoParams.MeltingParam.MeltingParam_Assimilation</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Assimilation(T_s,T_l,a)</code></pre><p>Melt fraction parameterisation that takes the assimilation of crustal host rocks into account, as used by Tierney et al. (2016) based upon a parameterisation of Spera and Bohrson (2001)</p><p>Here, the fraction of molten and assimilated host rocks <span>$\phi$</span> depends on the solidus (<span>$T_s$</span>) and liquidus (<span>$T_l$</span>) temperatures of the rocks, as well as on a parameter <span>$a=0.005$</span></p><p class="math-container">\[    X = \left( {T - T_s} \over {T_l - T_s} \right)\]</p><p class="math-container">\[    \phi = a \cdot \left( \exp^{2ln(100)X} - 1.0 \right) \textrm{ if } X ≤ 0.5\]</p><p class="math-container">\[    \phi = 1- a \cdot \exp^{2ln(100)(1-X)}  \textrm{ if } X &gt; 0.5\]</p><p class="math-container">\[    \phi = 1.0 \textrm{ if } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0.0 \textrm{ if } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_Assimilation.png" alt="MeltingParam_Assimilation"/></p><p>This was used, among others, in Tierney et al. (2016), who employed as default parameters:</p><p class="math-container">\[   T_s=973.15, T_l=1173.15, a=0.005\]</p><p><strong>References</strong></p><ul><li>Spera, F.J., and Bohrson, W.A., 2001, Energy-Constrained Open-System Magmatic Processes I: General Model and Energy-Constrained Assimilation and Fractional Crystallization (EC- AFC) Formulation: Journal of Petrology, v. 42, p. 999–1018.</li><li>Tierney, C.R., Schmitt, A.K., Lovera, O.M., de Silva, S.L., 2016. Voluminous plutonism during volcanic quiescence revealed by thermochemical modeling of zircon. Geology 44, 683–686. https://doi.org/10.1130/G37968.1</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/MeltFraction/MeltingParameterization.jl#L327-L362">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.SmoothMelting" href="#GeoParams.MeltingParam.SmoothMelting"><code>GeoParams.MeltingParam.SmoothMelting</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">SmoothMelting(; p=MeltingParam_4thOrder(), k_sol=0.2/K,  k_liq=0.2/K)</code></pre><p>This smoothens the melting parameterisation <span>$p$</span> around the solidus <span>$T_{sol}$</span> and liquidus <span>$T_{liq}$</span> using a smoothened Heaviside step functions for the solidus:</p><p class="math-container">\[    H_{sol} =  {1.0 \over { 1 + \exp( -2 k_{sol} (T - T_{sol} - {2 \over k_{sol}}) )  }}\]</p><p>and liquidus:</p><p class="math-container">\[    H_{liq} =  1.0 - {1.0 \over { 1 + \exp( -2 k_{liq} (T - T_{liq} + {2 \over k_{liq}}) )  }}\]</p><p>The resulting melt fraction <span>$\phi$</span> is computed from the original melt fraction <span>$\phi_0$</span> (computed using one of the methods above) as:</p><p class="math-container">\[    \phi =  \phi_0 H_{sol} H_{liq} + 1.0 - H_{liq}\]</p><p>The width of the smoothening zones is controlled by <span>$k_{sol}, k_{liq}$</span> (larger values = sharper boundary).</p><p>This is important, as jumps in the derivative <span>$dϕ/dT$</span> can cause numerical instabilities in latent heat computations, which is prevented with this smoothening.</p><p><strong>Example</strong></p><p>Let&#39;s consider a 4th order parameterisation:</p><pre><code class="language-julia hljs">julia&gt; using GLMakie, GeoParams
+julia&gt; p = MeltingParam_4thOrder();
+julia&gt; T= collect(650.0:1:1050.) .+ 273.15;
+julia&gt; T,phi,dϕdT =  PlotMeltFraction(p,T=T);</code></pre><p>The same but with smoothening:</p><pre><code class="language-julia hljs">julia&gt; p_s = SmoothMelting(p=MeltingParam_4thOrder(), k_liq=0.21/K);
+4th order polynomial melting curve: phi = -7.594512597174117e-10T^4 + 3.469192091489447e-6T^3 + -0.00592352980926T^2 + 4.482855645604745T + -1268.730161921053  963.15 K ≤ T ≤ 1270.15 K with smooth Heaviside function smoothening using k_sol=0.1 K⁻¹·⁰, k_liq=0.11 K⁻¹·⁰
+julia&gt; T_s,phi_s,dϕdT_s =  PlotMeltFraction(p_s,T=T);</code></pre><p>We can create plots of this with:</p><pre><code class="language-julia hljs">julia&gt; plt1 = plot(T.-273.15, phi, ylabel=&quot;Melt Fraction ϕ&quot;, color=:red, label=&quot;original&quot;, xlabel=&quot;Temperature [C]&quot;)
+julia&gt; plt1 = plot(plt1, T.-273.15, phi_s,  color=:black, label=&quot;smoothened&quot;, legend=:bottomright)
+julia&gt; plt2 = plot(T.-273.15, dϕdT, ylabel=&quot;dϕ/dT&quot;, color=:red, label=&quot;original&quot;, xlabel=&quot;Temperature [C]&quot;)
+julia&gt; plt2 = plot(plt2, T.-273.15, dϕdT_s,  color=:black, label=&quot;smoothened&quot;, legend=:topright)
+julia&gt; plot!(plt1,plt2,   xlabel=&quot;Temperature [C]&quot;, layout=(2,1))</code></pre><p>The derivative no longer has a jump now:</p><p><img src="../assets/img/MeltingParam_Smooth.png" alt="MeltingParam_Smooth"/></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/MeltFraction/MeltingParameterization.jl#L437-L488">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute the melt fraction at given <code>T</code> and <code>P</code>, use:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction!" href="#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_meltfraction!(ϕ::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T:AbstractArray{&lt;:AbstractFloat}, p::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/MeltFraction/MeltingParameterization.jl#L571-L575">source</a></section><section><div><pre><code class="nohighlight hljs">compute_meltfraction(ϕ::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/MeltFraction/MeltingParameterization.jl#L658-L662">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction" href="#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_meltfraction(P,T, p::AbstractPhaseDiagramsStruct)</code></pre><p>Computes melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/MeltFraction/MeltingParameterization.jl#L559-L563">source</a></section><section><div><pre><code class="nohighlight hljs">ϕ = compute_meltfraction(Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/MeltFraction/MeltingParameterization.jl#L651-L655">source</a></section></article><p>You can also obtain the derivative of melt fraction versus temperature with (useful to compute latent heat effects):</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_dϕdT!" href="#GeoParams.MeltingParam.compute_dϕdT!"><code>GeoParams.MeltingParam.compute_dϕdT!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_dϕdT!(ϕ::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computates the derivative of melt fraction <code>ϕ</code> versus temperature <code>T</code>, <span>${\partial \phi} \over {\partial T}$</span> for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This is employed, for example, in computing latent heat terms in an implicit manner.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/MeltFraction/MeltingParameterization.jl#L681-L686">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_dϕdT" href="#GeoParams.MeltingParam.compute_dϕdT"><code>GeoParams.MeltingParam.compute_dϕdT</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_dϕdT(P,T, p::AbstractPhaseDiagramsStruct)</code></pre><p>Computes derivative of melt fraction vs T in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified. The derivative is computed by finite differencing.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/MeltFraction/MeltingParameterization.jl#L578-L583">source</a></section><section><div><pre><code class="nohighlight hljs">ϕ = compute_dϕdT(Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computates the derivative of melt fraction ϕ versus temperature <code>T</code> for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This is employed in computing latent heat terms in an implicit manner, for example</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/MeltFraction/MeltingParameterization.jl#L673-L678">source</a></section></article><p>Also note that phase diagrams can be imported using <code>PerpleX_LaMEM_Diagram</code>, which may also have melt content information. The computational routines work with that as well.</p><h1 id="Plotting-routines"><a class="docs-heading-anchor" href="#Plotting-routines">Plotting routines</a><a id="Plotting-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting-routines" title="Permalink"></a></h1><p>You can use the routine <code>PlotMeltFraction</code> to create a plot, provided that the <code>GLMakie</code> package has been loaded</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotMeltFraction" href="#GeoParams.PlotMeltFraction"><code>GeoParams.PlotMeltFraction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">T,phi,plt = PlotMeltFraction(p::AbstractMeltingParam; T=nothing, plt=nothing, lbl=nothing)</code></pre><p>Creates a plot of temperature <code>T</code> vs. melt fraction, as specified in <code>p</code>. The 1D curve can be evaluated at a specific pressure <code>P</code> which can be given as a scalar or as an array of the same size as <code>T</code></p><p><strong>Optional parameters</strong></p><ul><li><code>T</code>: temperature range</li><li><code>P</code>: pressure</li><li><code>plt</code>: a previously generated plotting object</li><li><code>lbl</code>: label of the curve</li></ul><p><strong>Example</strong></p><pre><code class="nohighlight hljs">julia&gt; p          =  MeltingParam_Caricchi()
+julia&gt; T,phi,dϕdT =  PlotMeltFraction(p)</code></pre><p>you can now save the figure to disk with:</p><pre><code class="nohighlight hljs">julia&gt; using Plots
+julia&gt; savefig(plt,&quot;MeltFraction.png&quot;)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Plotting/Plotting.jl#L622-L645">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../gravity/">« Gravity</a><a class="docs-footer-nextpage" href="../TASclassification/">TAS classification »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Thursday 28 December 2023 11:51">Thursday 28 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Nondimensionalization</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Nondimensionalization</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/nondimensionalize.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Nondimensionalization"><a class="docs-heading-anchor" href="#Nondimensionalization">Nondimensionalization</a><a id="Nondimensionalization-1"></a><a class="docs-heading-anchor-permalink" href="#Nondimensionalization" title="Permalink"></a></h1><p>Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between <code>GEO</code>, <code>SI</code> or <code>NO</code> units:</p><ul><li><code>SI</code> units assume all input and output is in <code>SI</code> units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).</li><li><code>GEO</code> units uses <code>SI</code> units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as <code>Myrs</code>,<code>km</code> or <code>MPa</code></li><li><code>NO</code> units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that <code>velocity</code> is given in <code>m/s</code>).</li></ul><p>A dimensional parameter can be transformed into a non-dimensional one with <code>nondimensionalize</code>.</p><h1 id="Specify-characteristic-values"><a class="docs-heading-anchor" href="#Specify-characteristic-values">Specify characteristic values</a><a id="Specify-characteristic-values-1"></a><a class="docs-heading-anchor-permalink" href="#Specify-characteristic-values" title="Permalink"></a></h1><p>Characteristic values can be defined in 3 ways.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units" href="#GeoParams.Units"><code>GeoParams.Units</code></a> — <span class="docstring-category">Module</span></header><section><div><pre><code class="language-julia hljs">This provides units and creates a non-dimensionalization object</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Units.jl#L1-L3">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.AbstractGeoUnit" href="#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><p>AbstractGeoUnit</p><p>Abstract supertype for geo units.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Units.jl#L96-L100">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnit" href="#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.
+
+Having that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.
+With the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Units.jl#L110-L117">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnits" href="#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">GeoUnits
+
+Structure that holds parameters used for non-dimensionalization</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Units.jl#L307-L311">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GEO_units" href="#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)</code></pre><p>Creates a non-dimensionalization object using GEO units.</p><p>GEO units implies that upon dimensionalization, <code>time</code> will be in <code>Myrs</code>, <code>length</code> in <code>km</code>, stress in <code>MPa</code>, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (<code>km</code> or <code>m</code>), provided the unit is specified.</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = GEO_units()
+Employing GEO units 
+Characteristic values: 
+         length:      1000 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C
+julia&gt; CharUnits.velocity
+1.0e-7 m s⁻¹</code></pre><p>If we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic <code>length</code>:</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = GEO_units(length=10km)
+Employing GEO units 
+Characteristic values: 
+         length:      10 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Units.jl#L359-L390">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.SI_units" href="#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)</code></pre><p>Specify the characteristic values using SI units </p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = SI_units(length=1000m)
+Employing SI units 
+Characteristic values: 
+         length:      1000 m
+         time:        1.0e19 s
+         stress:      10 Pa
+         temperature: 1000.0 K</code></pre><p>Note that the same can be achieved if the input is given in <code>km</code>:</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = SI_units(length=1km)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Units.jl#L429-L448">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.NO_units" href="#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)</code></pre><p>Specify the characteristic values in non-dimensional units</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GeoParams;
+julia&gt; CharUnits = NO_units()
+Employing NONE units 
+Characteristic values: 
+         length:      1
+         time:        1.0 
+         stress:      1
+         temperature: 1.0</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Units.jl#L487-L503">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_val" href="#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia hljs">This unpacks the numerical value of `GeoUnit` in a structure, without the units.
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_val ρ,α = r
+julia&gt; α
+4.0e-5
+julia&gt; typeof(α)
+Float64</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/unpack.jl#L4-L23">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_units" href="#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia hljs">This unpacks the numerical value with units of `GeoUnit` parameters in a structure
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_units ρ,α = r
+julia&gt; α
+4.0e-5 K⁻¹·⁰
+julia&gt; typeof(α)
+Quantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/unpack.jl#L46-L65">source</a></section></article><h1 id="(Non)-dimensionalize-parameters"><a class="docs-heading-anchor" href="#(Non)-dimensionalize-parameters">(Non)-dimensionalize parameters</a><a id="(Non)-dimensionalize-parameters-1"></a><a class="docs-heading-anchor-permalink" href="#(Non)-dimensionalize-parameters" title="Permalink"></a></h1><p>Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.nondimensionalize" href="#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">nondimensionalize(param, CharUnits::GeoUnits{TYPE})</code></pre><p>Nondimensionalizes <code>param</code> using the characteristic values specified in <code>CharUnits</code></p><p><strong>Example 1</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GeoParams;
+julia&gt; CharUnits =   GEO_units();
+julia&gt; v         =   3cm/yr
+3 cm yr⁻¹ 
+julia&gt; v_ND      =   nondimensionalize(v, CharUnits) 
+0.009506426344208684</code></pre><p><strong>Example 2</strong></p><p>In geodynamics one sometimes encounters more funky units</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits =   GEO_units();
+julia&gt; A         =   6.3e-2MPa^-3.05*s^-1
+0.063 MPa⁻³·⁰⁵ s⁻¹
+julia&gt; A_ND      =   nondimensionalize(A, CharUnits) 
+7.068716262102384e14</code></pre><p>In case you are interested to see how the units of <code>A</code> look like in different units, use this function from the <a href="https://github.com/PainterQubits/Unitful.jl">Unitful</a> package:</p><pre><code class="language-julia-repl hljs">julia&gt; uconvert(u&quot;Pa^-3.05*s^-1&quot;,A) 
+3.157479571851836e-20 Pa⁻³·⁰⁵</code></pre><p>and to see it decomposed in the basic <code>SI</code> units of length, mass and time:</p><pre><code class="language-julia-repl hljs">julia&gt; upreferred(A)
+3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Units.jl#L537-L571">source</a></section><section><div><pre><code class="nohighlight hljs">param = nondimensionalize(param::NTuple{N,Quantity}, g::GeoUnits{TYPE})</code></pre><p>nondimensionalizes a tuple of parameters    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Units.jl#L603-L607">source</a></section><section><div><pre><code class="nohighlight hljs">MatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Non-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p><p><strong></strong></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Units.jl#L641-L646">source</a></section><section><div><pre><code class="nohighlight hljs">nondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>nondimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Units.jl#L674-L678">source</a></section><section><div><pre><code class="nohighlight hljs">MatParam_ND = nondimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)</code></pre><p>Non-dimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Units.jl#L713-L718">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.dimensionalize" href="#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes <code>param</code> into the dimensions <code>param_dim</code> using the characteristic values specified in <code>CharUnits</code>.  </p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits =   GEO_units();
+julia&gt; v_ND      =   nondimensionalize(3cm/yr, CharUnits) 
+0.031688087814028945
+julia&gt; v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) 
+3.0 cm yr⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Units.jl#L725-L739">source</a></section><section><div><pre><code class="nohighlight hljs">dimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Units.jl#L760-L765">source</a></section><section><div><pre><code class="nohighlight hljs">Dimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>Dimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Units.jl#L793-L797">source</a></section><section><div><pre><code class="nohighlight hljs">dimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)</code></pre><p>dimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Units.jl#L840-L845">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.isDimensional" href="#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">isDimensional(MatParam::AbstractMaterialParam)</code></pre><p><code>true</code> if MatParam is in dimensional units.    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Units.jl#L852-L856">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../geounit/">« GeoUnit</a><a class="docs-footer-nextpage" href="../materialparameters/">Material Parameters »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Thursday 28 December 2023 11:51">Thursday 28 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.3/man/phasediagrams/index.html b/v0.5.3/man/phasediagrams/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Phase Diagrams · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li class="is-active"><a class="tocitem" href>Phase Diagrams</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Perple_X"><span>Perple_X</span></a></li></ul></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Phase Diagrams</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Phase Diagrams</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/phasediagrams.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Phase-Diagrams"><a class="docs-heading-anchor" href="#Phase-Diagrams">Phase Diagrams</a><a id="Phase-Diagrams-1"></a><a class="docs-heading-anchor-permalink" href="#Phase-Diagrams" title="Permalink"></a></h1><p>It is possible to employ phase diagrams as lookup tables, which can be used to compute density, melt fraction or seismic properties, for example. </p><h1 id="Perple_X"><a class="docs-heading-anchor" href="#Perple_X">Perple_X</a><a id="Perple_X-1"></a><a class="docs-heading-anchor-permalink" href="#Perple_X" title="Permalink"></a></h1><p>A popular way to compute phase diagrams (pseudosections) for a given (fixed) chemical composition as a function of pressure and temperature is by using <a href="https://www.perplex.ethz.ch">Perple_X</a>. Once a stable assemblage is computed, through Gibbs energy minimisation, it allows you to output a large number of properties such as density, melt fraction or seismic velocities.</p><p>Within GeoParams, we can import this diagram (provided it is formatted in the same manner as <code>LaMEM</code> expects <code>Perple_X</code> input to be).</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PerpleX_LaMEM_Diagram" href="#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">PD_Data = PerpleX_LaMEM_Diagram(fname::String; CharDim = nothing)</code></pre><p>Reads a precomputed phase diagram in the <code>LaMEM/Perple_X</code> format (which is a phase diagram computed using <code>Perple_X</code>, but formatted in a manner that is readable using LaMEM). The data is stored in the <code>PhaseDiagram_LookupTable</code> structure.</p><p>If the <code>CharDim</code> object is specified, the values of all diagrams will be non-dimensionalized.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; PD_Data = PerpleX_LaMEM_Diagram(&quot;./test_data/Peridotite.in&quot;)
+Perple_X/LaMEM Phase Diagram Lookup Table: 
+                      File    :   ./test_data/Peridotite.in
+                      T       :   293.0 - 1573.000039
+                      P       :   1.0e7 - 2.9999999944e9
+                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp
+                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs
+                                  :Vp, :Vs, :VpVs</code></pre><p>Once imported, the properties on the diagram can be interpolated in a simple manner:</p><pre><code class="nohighlight hljs">julia&gt; PD_Data.Rho(1500,1e7)
+3042.836820256982</code></pre><p>This also works for vectors or arrays:</p><pre><code class="language-julia hljs">julia&gt; T = [1500 1800; 1233 1300]
+julia&gt; P = [1e8 1e9; 1e7 1e7]
+julia&gt; rho = PD_Data.Rho.(T,P)</code></pre><p>(Note the dot <code>.</code> in front of the bracket while evaluating arrays).</p><p>The fields that are available depend on what is listed in the diagram file.  The units of the fields are automatically evaluated, and employed to non-dimensionalize the parameters if <code>CharDim</code> is specified. </p><p><strong>Algorithm</strong></p><p>Internally, we employ linear interpolation, as provided by the <a href="https://github.com/JuliaMath/Interpolations.jl">Interpolations.jl</a> package. Values outside the range of the diagram are set to the boundary of the diagram. The interpolation object is directly encoded in the <code>PhaseDiagram_LookupTable</code>` object.  </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/PhaseDiagrams/PhaseDiagrams.jl#L44-L85">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable" href="#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Contains data of a Phase Diagram that is regularly spaced in P &amp; T</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/PhaseDiagrams/PhaseDiagrams.jl#L14-L16">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../zirconages/">« Zircon Ages</a><a class="docs-footer-nextpage" href="../seismicvelocity/">Seismic Velocity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Thursday 28 December 2023 11:51">Thursday 28 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.3/man/plasticity/index.html b/v0.5.3/man/plasticity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Plasticity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li class="is-active"><a class="tocitem" href>Plasticity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Implemented-laws"><span>Implemented laws</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Plasticity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Plasticity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/plasticity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Plasticity"><a class="docs-heading-anchor" href="#Plasticity">Plasticity</a><a id="Plasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Plasticity" title="Permalink"></a></h1><p>Plasticity is a non-linear rheology that is activated once stresses exceed a certain yield criteria.</p><h1 id="Implemented-laws"><a class="docs-heading-anchor" href="#Implemented-laws">Implemented laws</a><a id="Implemented-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-laws" title="Permalink"></a></h1><p>The following plastic law are implemented:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.Plasticity.DruckerPrager</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.Plasticity.DruckerPrager_regularised</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>Usually, plasticity should be defined as part of a <code>CompositeRheology</code> structure and calculations can be done as with all other rheology computations by using <code>compute_τII</code>.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../elasticity/">« Elasticity</a><a class="docs-footer-nextpage" href="../heatcapacity/">Heat Capacity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Thursday 28 December 2023 11:51">Thursday 28 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.3/man/plotting/index.html b/v0.5.3/man/plotting/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Plotting · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li class="is-active"><a class="tocitem" href>Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Plotting</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Plotting</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/plotting.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Plotting"><a class="docs-heading-anchor" href="#Plotting">Plotting</a><a id="Plotting-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting" title="Permalink"></a></h1><p>We provide a number of plotting routines. Note that these plotting routines only become available once the <code>GLMakie</code> package is loaded.</p><h3 id="Plot-CreepLaws"><a class="docs-heading-anchor" href="#Plot-CreepLaws">Plot CreepLaws</a><a id="Plot-CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#Plot-CreepLaws" title="Permalink"></a></h3><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotStressStrainrate_CreepLaw</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotHeatCapacity" href="#GeoParams.PlotHeatCapacity"><code>GeoParams.PlotHeatCapacity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">T,Cp,plt = PlotHeatCapacity(cp::AbstractHeatCapacity; T=nothing, plt=nothing, lbl=nothing)</code></pre><p>Creates a plot of temperature <code>T</code> vs. heat capacity, as specified in cp (which can be temperature-dependent).</p><p><strong>Optional parameters</strong></p><ul><li>T: temperature range</li><li>plt: a previously generated plotting object</li><li>lbl: label of the curve</li></ul><p><strong>Example</strong></p><pre><code class="nohighlight hljs">julia&gt; cp = T_HeatCapacity_Whittacker()
+julia&gt; T,Cp,plt = PlotHeatCapacity(cp)</code></pre><p>you can now save the figure to disk with:</p><pre><code class="nohighlight hljs">julia&gt; using Plots
+julia&gt; savefig(plt,&quot;Tdependent_heatcapacity.png&quot;)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Plotting/Plotting.jl#L522-L543">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotConductivity" href="#GeoParams.PlotConductivity"><code>GeoParams.PlotConductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">T,Kk,plt = PlotConductivity(cp::AbstractConductivity; T=nothing, plt=nothing, lbl=nothing)</code></pre><p>Creates a plot of temperature <code>T</code> vs. thermal conductivity, as specified in <code>k</code> (which can be temperature-dependent).</p><p><strong>Optional parameters</strong></p><ul><li><code>T</code>: temperature range</li><li><code>plt</code>: a previously generated plotting object</li><li><code>lbl</code>: label of the curve</li></ul><p><strong>Example</strong></p><pre><code class="nohighlight hljs">julia&gt; k = T_Conductivity_Whittacker()
+julia&gt; T,KK,plt = PlotConductivity(k)</code></pre><p>you can now save the figure to disk with:</p><pre><code class="nohighlight hljs">julia&gt; using Plots
+julia&gt; savefig(plt,&quot;Tdependent_conductivity.png&quot;)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Plotting/Plotting.jl#L567-L588">source</a></section></article><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotMeltFraction</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotPhaseDiagram" href="#GeoParams.PlotPhaseDiagram"><code>GeoParams.PlotPhaseDiagram</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">plt, data, Tvec, Pvec = PlotPhaseDiagram(p::PhaseDiagram_LookupTable; fieldname::Symbol, Tvec=nothing, Pvec=nothing)</code></pre><p>Plots a phase diagram as a function of <code>T</code> (x-axis) and <code>P</code> (y-axis). We either use the default ranges of the diagram, or you can specify the temperature and pressure ranges (while specifying units). The return arguments are the plotting object <code>plt</code> (so you can modify properties) as well as the data that is being plotted</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; PD_data =  Read_LaMEM_Perple_X_Diagram(&quot;Peridotite.in&quot;)
+Perple_X/LaMEM Phase Diagram Lookup Table:
+                      File    :   Peridotite.in
+                      T       :   293.0 - 1573.000039
+                      P       :   1.0e7 - 2.9999999944e9
+                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp
+                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs
+                                  :Vp, :Vs, :VpVs, :cpxFrac
+julia&gt; PlotPhaseDiagram(PD_data,:meltFrac, Tvec=(100:1:1400).*C, Pvec=(.1:.1:30).*kbar )</code></pre><p>This will generate the following plot <img src="../assets/img/PhaseDiagram.png" alt="subet2"/></p><p>You can also use the default pressure/temperature ranges in the diagrams:</p><pre><code class="language-julia hljs">julia&gt; PlotPhaseDiagram(PD_data,:Rho)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Plotting/Plotting.jl#L681-L709">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotDeformationMap" href="#GeoParams.PlotDeformationMap"><code>GeoParams.PlotDeformationMap</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">fig = PlotDeformationMap(v;    args=(P=0.0, d=1e-3, f=1.0),
+                            σ = (1e-2, 1e8),                # in MPa
+                            T = (10, 1000),                 # in C
+                            ε = (1e-22, 1e-8),              # in 1/s
+                            n = 400,                        # number of points
+                            rotate_axes = false,            # flip x &amp; y axes
+                            strainrate = true,              # strainrate (otherwise stress)
+                            viscosity = false,              # plot viscosity instead of strainrate/stress
+                            boundaries = true,              # plot deformation boundaries
+                            levels = 20,                    # number of contour levels
+                            colormap=:viridis,              # colormap
+                            filename=nothing,               # if you want to save this to file
+                            fontsize=40,                    # fontsize of labels
+                            res=(1200, 900))                # resolution in pixels</code></pre><p>Creates a deformation mechanism map (T/εII vs. stress/viscosity or T/τII vs. strainrate/viscosity) for given (composite) rheology <code>v</code></p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; v1 = SetDiffusionCreep(&quot;Dry Anorthite | Rybacki et al. (2006)&quot;)
+julia&gt; v2 = SetDislocationCreep(&quot;Dry Anorthite | Rybacki et al. (2006)&quot;)
+julia&gt; v=CompositeRheology(v1,v2)
+julia&gt; PlotDeformationMap(v, levels=100, colormap=:roma)</code></pre><p>Next, let&#39;s plot viscosity and flip x &amp; y axis:</p><pre><code class="language-julia hljs">julia&gt; PlotDeformationMap(v, viscosity=true, rotate_axes=true)</code></pre><p>Instead of plotting stress vs. T and computing strainrate, we can also provide strainrate/T and compute stress:</p><pre><code class="language-julia hljs">julia&gt; PlotDeformationMap(v, strainrate=false)</code></pre><p>Or plot viscosity but only add contours in a certain range:</p><pre><code class="language-julia hljs">julia&gt; PlotDeformationMap(v,  strainrate=false, viscosity=true, levels=Vector(18:.25:24))</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Plotting/Plotting.jl#L915-L953">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../strengthenvelope/">« 1D Strength Envelope</a><a class="docs-footer-nextpage" href="../listfunctions/">List of functions »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Thursday 28 December 2023 11:51">Thursday 28 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.3/man/radioactiveheating/index.html b/v0.5.3/man/radioactiveheating/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Radioactive heat · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li class="is-active"><a class="tocitem" href>Radioactive heat</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Radioactive heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Radioactive heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/radioactiveheating.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Radioactive-heat"><a class="docs-heading-anchor" href="#Radioactive-heat">Radioactive heat</a><a id="Radioactive-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Radioactive-heat" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Radioactive heat sources are defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat" href="#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)</code></pre><p>Set a constant radioactive heat:</p><p class="math-container">\[    H_r  = cst\]</p><p>where <span>$H_r$</span> is the radioactive heat source [<span>$Watt/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Energy/RadioactiveHeat.jl#L23-L31">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat" href="#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ExpDepthDependent(H_0=1e-6Watt/m^3, h_r=10e3m, z_0=0m)</code></pre><p>Sets an exponential depth-dependent radioactive </p><p class="math-container">\[    H_r  = H_0 \exp \left( {- {(z - z_0) \over h_r}} \right)\]</p><p>where <span>$H_0$</span> is the radioactive heat source [<span>$Watt/m^3$</span>] at <span>$z=z_0$</span> which decays with depth over a characteristic distance <span>$h_r$</span>.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Energy/RadioactiveHeat.jl#L63-L71">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat!</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../latentheat/">« Latent heat</a><a class="docs-footer-nextpage" href="../shearheating/">Shear heating »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Thursday 28 December 2023 11:51">Thursday 28 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.3/man/seismicvelocity/index.html b/v0.5.3/man/seismicvelocity/index.html
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+<!DOCTYPE html>
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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li class="is-active"><a class="tocitem" href>Seismic Velocity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-velocity-correction-for-partial-melt"><span>Seismic velocity correction for partial melt</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-2"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-2"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity"><span>Seismic S-wave velocity correction for (shallow depth) porosity</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-3"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-3"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-velocity-correction-for-anelasticity"><span>Seismic velocity correction for anelasticity</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-4"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-4"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Seismic Velocity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Seismic Velocity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/seismicvelocity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Seismic-velocity"><a class="docs-heading-anchor" href="#Seismic-velocity">Seismic velocity</a><a id="Seismic-velocity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Seismic velocity can specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity" href="#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)</code></pre><p>Set a constant seismic P and S-wave velocity:</p><p class="math-container">\[    V_p = cst\]</p><p class="math-container">\[    V_s = cst\]</p><p>where <span>$V_p, V_s$</span> are the P-wave and S-wave velocities [<span>$km/s$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/SeismicVelocity/SeismicVelocity.jl#L35-L46">source</a></section></article><p>In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.</p><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To evaluate seismic velocity within a user routine, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_swave_velocity!</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_pwave_velocity!</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_pwave_velocity</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_swave_velocity</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-velocity-correction-for-partial-melt"><a class="docs-heading-anchor" href="#Seismic-velocity-correction-for-partial-melt">Seismic velocity correction for partial melt</a><a id="Seismic-velocity-correction-for-partial-melt-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity-correction-for-partial-melt" title="Permalink"></a></h1><h1 id="Methods-2"><a class="docs-heading-anchor" href="#Methods-2">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-2" title="Permalink"></a></h1><p>The routine uses the reduction formulation of Clark et al., (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.</p><h1 id="Computational-routines-2"><a class="docs-heading-anchor" href="#Computational-routines-2">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-2" title="Permalink"></a></h1><p>To compute melt-content based correction for seismic waves velocities, you can use:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.melt_correction</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity"><a class="docs-heading-anchor" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity">Seismic S-wave velocity correction for (shallow depth) porosity</a><a id="Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity" title="Permalink"></a></h1><h1 id="Methods-3"><a class="docs-heading-anchor" href="#Methods-3">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-3" title="Permalink"></a></h1><p>This routine is based on the equilibrium geometry model for the solid skeleton of Takei et al. (1998) and the porosity-depth empirical relationship of Chen et al. (2020)</p><h1 id="Computational-routines-3"><a class="docs-heading-anchor" href="#Computational-routines-3">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-3" title="Permalink"></a></h1><p>To compute porosity based correction for seismic S-wave velocity, you can use:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.porosity_correction</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-velocity-correction-for-anelasticity"><a class="docs-heading-anchor" href="#Seismic-velocity-correction-for-anelasticity">Seismic velocity correction for anelasticity</a><a id="Seismic-velocity-correction-for-anelasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity-correction-for-anelasticity" title="Permalink"></a></h1><h1 id="Methods-4"><a class="docs-heading-anchor" href="#Methods-4">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-4" title="Permalink"></a></h1><p>The routine uses the reduction formulation of karato (1993), using the quality factor formulation from Behn et al. (2009)</p><h1 id="Computational-routines-4"><a class="docs-heading-anchor" href="#Computational-routines-4">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-4" title="Permalink"></a></h1><p>To compute a correction of S-wave velocity for anelasticity, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction" href="#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">    Vs_anel = anelastic_correction(water::Int64, Vs0::Float64,P::Float64,T::Float64)</code></pre><p>This routine computes a correction of S-wave velocity for anelasticity</p><p><strong>Input:</strong></p><ul><li><code>water</code>: water flag, 0 = dry; 1 = dampened; 2 = water saturated </li><li><code>Vs0</code>  : S-wave velocitiy of the solid phase (with or without melt correction)</li><li><code>P</code>    : pressure given in Pa</li><li><code>T</code>    : temperature given in °K</li></ul><p><strong>Output:</strong></p><ul><li><code>Vs_anel</code> : corrected S-wave velocity for anelasticity</li></ul><p>The routine uses the reduction formulation of Karato (1993), using the quality factor formulation from Behn et al. (2009)</p><p><strong>References:</strong></p><ul><li><p>Karato, S. I. (1993). Importance of anelasticity in the interpretation of seismic tomography. Geophysical research letters, 20(15), 1623-1626.</p></li><li><p>Behn, M. D., Hirth, G., &amp; Elsenbeck II, J. R. (2009). Implications of grain size evolution on the seismic structure of the oceanic upper mantle. Earth and Planetary Science Letters, 282(1-4), 178-189.</p></li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/SeismicVelocity/SeismicVelocity.jl#L354-L381">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../phasediagrams/">« Phase Diagrams</a><a class="docs-footer-nextpage" href="../strengthenvelope/">1D Strength Envelope »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Thursday 28 December 2023 11:51">Thursday 28 December 2023</span>. 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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Shear heating · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li class="is-active"><a class="tocitem" href>Shear heating</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Shear heating</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Shear heating</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/shearheating.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Shear-heating"><a class="docs-heading-anchor" href="#Shear-heating">Shear heating</a><a id="Shear-heating-1"></a><a class="docs-heading-anchor-permalink" href="#Shear-heating" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Heat caused by non-recoverable deformation can be specified in </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.ConstantShearheating" href="#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantShearheating(Χ=0.0NoUnits)</code></pre><p>Set the shear heating efficiency [0-1] parameter</p><p class="math-container">\[Χ  = cst\]</p><p>where <span>$\Chi$</span> is the shear heating efficiency [NoUnits]</p><p>Shear heating is computed as</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}(\dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Energy/Shearheating.jl#L23-L37">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">H_s = compute_shearheating(s:&lt;AbstractShearheating, τ, ε, ε_el)</code></pre><p>Computes the shear heating source term</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Energy/Shearheating.jl#L89-L104">source</a></section><section><div><pre><code class="nohighlight hljs">H_s = ComputeShearheating(s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij}\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Energy/Shearheating.jl#L107-L120">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating!" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_shearheating!(H_s, s:&lt;AbstractShearheating,  τ, ε, ε_el)</code></pre><p>Computes the shear heating source term in-place</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul><p><em>NOTE:</em> The shear heating terms require the full deviatoric stress &amp; strain rate tensors, i.e.:</p><p class="math-container">\[2D: \tau_{ij} = \left(
+                \begin{matrix}
+                    \tau_{xx} &amp; \tau_{xz} \\
+                    \tau_{zx} &amp; \tau_{zz}
+                \end{matrix}
+            \right)\]</p><p>Since <span>$\tau_{zx}=\tau_{xz}$</span>, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used!</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Energy/Shearheating.jl#L125-L152">source</a></section><section><div><pre><code class="nohighlight hljs">compute_shearheating!(H_s, s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term <code>H_s</code> in-place when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij}\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Energy/Shearheating.jl#L155-L168">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../radioactiveheating/">« Radioactive heat</a><a class="docs-footer-nextpage" href="../gravity/">Gravity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Thursday 28 December 2023 11:51">Thursday 28 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.3/man/strengthenvelope/index.html b/v0.5.3/man/strengthenvelope/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>1D Strength Envelope · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>1D Strength Envelope</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>1D Strength Envelope</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/strengthenvelope.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="D-Strength-envelope"><a class="docs-heading-anchor" href="#D-Strength-envelope">1D Strength envelope</a><a id="D-Strength-envelope-1"></a><a class="docs-heading-anchor-permalink" href="#D-Strength-envelope" title="Permalink"></a></h1><p>We provide a routine for computing a 1D strength envelope and the tools for setting up a temperature structure and lithostatic pressure profile.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ConstTemp" href="#GeoParams.ConstTemp"><code>GeoParams.ConstTemp</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstTemp(T=1000)</code></pre><p>Sets a constant temperature inside the box</p><p>Parameters:</p><ul><li>T : the value</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/StrengthEnvelope/StrengthEnvelope.jl#L8-L15">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.LinTemp" href="#GeoParams.LinTemp"><code>GeoParams.LinTemp</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">LinTemp(Ttop=0, Tbot=1000)</code></pre><p>Sets a linear temperature structure from top to bottom</p><p>Parameters:</p><ul><li>Ttop: the value @ the top</li><li>Tbot: the value @ the bottom</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/StrengthEnvelope/StrengthEnvelope.jl#L33-L41">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.HalfspaceCoolTemp" href="#GeoParams.HalfspaceCoolTemp"><code>GeoParams.HalfspaceCoolTemp</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">HalfspaceCoolTemp(Tsurface=0, Tmantle=1350, Age=60, Adiabat=0)</code></pre><p>Sets a halfspace temperature structure in plate</p><p>Parameters:</p><ul><li>Tsurface: surface temperature [C]</li><li>Tmantle:  mantle temperature [C]</li><li>Age:      Thermal Age of plate [Myrs]</li><li>Adiabat:  Mantle Adiabat [K/km]</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/StrengthEnvelope/StrengthEnvelope.jl#L57-L67">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.CompTempStruct" href="#GeoParams.CompTempStruct"><code>GeoParams.CompTempStruct</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CompTempStruct(Z, s::AbstractTempStruct)</code></pre><p>Returns a temperature vector that matches the coordinate vector and temperature structure that were passed in</p><p>Parameters:</p><ul><li>Z: vector with depth coordinates</li><li>s: Temperature structure (CostTemp, LinTemp, HalfspaceCoolTemp)</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/StrengthEnvelope/StrengthEnvelope.jl#L21-L29">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.LithPres" href="#GeoParams.LithPres"><code>GeoParams.LithPres</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">LithPres(MatParam, Phases, ρ, T, dz, g)</code></pre><p>Iteratively solves a 1D lithostatic pressure profile (compatible with temperature- and pressure-dependent densities)</p><p>Parameters:</p><ul><li>MatParam: a tuple of materials (including the following properties: Phase, Density)</li><li>Phases:   vector with the distribution of phases</li><li>ρ:        density vector for initial guess(can be zeros)</li><li>T:        temperature vector</li><li>dz:       grid spacing</li><li>g:        gravitational acceleration</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/StrengthEnvelope/StrengthEnvelope.jl#L89-L101">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.StrengthEnvelopeComp" href="#GeoParams.StrengthEnvelopeComp"><code>GeoParams.StrengthEnvelopeComp</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">StrengthEnvelopeComp(MatParam::NTuple{N, AbstractMaterialParamsStruct}, Thickness::Vector{U}, TempType::AbstractTempStruct=LinTemp(0C, 800C), ε=1e-15/s, nz::Int64=101) where {N, U}</code></pre><p>Calculates a 1D strength envelope. Pressure used for Drucker Prager plasticity is lithostatic. To visualize the results in a GUI, use StrengthEnvelopePlot.</p><p>Parameters:</p><ul><li>MatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)</li><li>Thickness: a vector listing the thicknesses of the respective layers (should carry units)</li><li>TempType:  the type of temperature profile (ConstTemp(), LinTemp(), HalfspaceCoolTemp())</li><li>ε:         background strainrate</li><li>nz:        optional argument controlling the number of points along the profile (default = 101)</li></ul><p><strong>Example:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GLMakie
+julia&gt; MatParam = (SetMaterialParams(Name=&quot;UC&quot;, Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(&quot;Wet Quartzite | Ueda et al. (2008)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;MC&quot;, Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(&quot;Plagioclase An75 | Ji and Zhao (1993)&quot;), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;LC&quot;, Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(&quot;Maryland strong diabase | Mackwell et al. (1998)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));
+julia&gt; Thickness = [15,10,15]*km;
+
+julia&gt; StrengthEnvelopeComp(MatParam, Thickness, LinTemp(), ε=1e-15/s)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/StrengthEnvelope/StrengthEnvelope.jl#L165-L187">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.StrengthEnvelopePlot" href="#GeoParams.StrengthEnvelopePlot"><code>GeoParams.StrengthEnvelopePlot</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">StrengthEnvelopePlot(MatParam, Thickness; TempType, nz)</code></pre><p>Requires GLMakie</p><p>Creates a GUI that plots a 1D strength envelope. In the GUI, temperature profile and strain rate can be adjusted. The Drucker-Prager plasticity uses lithostatic pressure.</p><p>Parameters:</p><ul><li>MatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)</li><li>Thickness: a vector listing the thicknesses of the respective layers (should carry units)</li><li>TempType:  the type of temperature profile (LinTemp=default, HalfspaceCoolTemp, ConstTemp)</li><li>nz:        optional argument controlling the number of points along the profile (default = 101)</li></ul><p><strong>Example:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GLMakie
+julia&gt; MatParam = (SetMaterialParams(Name=&quot;UC&quot;, Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(&quot;Wet Quartzite | Ueda et al. (2008)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;MC&quot;, Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(&quot;Plagioclase An75 | Ji and Zhao (1993)&quot;), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;LC&quot;, Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(&quot;Maryland strong diabase | Mackwell et al. (1998)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));
+julia&gt; Thickness = [15,10,15]*km;
+
+julia&gt; StrengthEnvelopePlot(MatParam, Thickness, LinTemp())</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/StrengthEnvelope/StrengthEnvelope.jl#L232-L255">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../seismicvelocity/">« Seismic Velocity</a><a class="docs-footer-nextpage" href="../plotting/">Plotting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Thursday 28 December 2023 11:51">Thursday 28 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Tables · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Tables</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Tables</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/tables.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Tables"><a class="docs-heading-anchor" href="#Tables">Tables</a><a id="Tables-1"></a><a class="docs-heading-anchor-permalink" href="#Tables" title="Permalink"></a></h1><p>There are two different formats of output tables that can be produced:</p><ul><li>LaTeX (always comes with &quot;References.bib&quot; for citations)</li><li>Markdown</li></ul><h1 id="Producing-output-table"><a class="docs-heading-anchor" href="#Producing-output-table">Producing output table</a><a id="Producing-output-table-1"></a><a class="docs-heading-anchor-permalink" href="#Producing-output-table" title="Permalink"></a></h1><p><code>ParameterTable()</code> is used to produce an output table of all the material parameters in your phase(s) in LaTeX or Markdown format. All you need is a dimensional <code>phase</code> as defined in section 2. Material Parameters in the README.md of GeoParams. This <code>phase</code> should be given to <code>ParameterTable</code> as first argument. There are optional arguments which can be given in <code>ParameterTable</code>. Those are <code>format</code>, <code>filename</code> and <code>rdigits</code>. The <code>format</code> keyword determines whether your table should be in <code>LaTeX</code> or <code>Markdown</code> format (should be given as string). <code>filename</code> determines the name of the file but can also be used to save the file in a different directory other than the GeoParams package directory (should be given as string, note: no file endings needed since they will be determined by the <code>format</code> keyword!). <code>rdigits</code> gives the numbers of decimals to which all parameter values will be rounded (should be given as integer).</p><p>Example 1:</p><pre><code class="language-julia hljs">julia&gt; MatParam = SetMaterialParams(Name=&quot;Viscous Matrix&quot;, Phase=1,
+                                     Density   = ConstantDensity(),
+                                     CreepLaws = LinearViscous(η=1e23Pa*s))
+
+julia&gt; ParameterTable(MatParam, format=&quot;tex&quot;, filename=&quot;ParameterTable&quot;, rdigits=4)</code></pre><p><img src="../assets/img/LaTeX_table.PNG" alt="latex"/></p><p>Example 2:</p><pre><code class="language-julia hljs">julia&gt; ParameterTable(MatParam, format=&quot;md&quot;, filename=&quot;ParameterTable&quot;, rdigits=4)</code></pre><p><img src="../assets/img/markdown_table.PNG" alt="markdown"/></p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.ParameterTable" href="#GeoParams.Tables.ParameterTable"><code>GeoParams.Tables.ParameterTable</code></a> — <span class="docstring-category">Function</span></header><section><div><p>ParameterTable() creates a table with all parameters saved in the Phase struct. It lets you choose between &quot;latex&quot; and &quot;markdown&quot; as table formats with LaTeX as default. Creates a filename.tex or filename.md file as output. If &quot;latex&quot; is chosen a &quot;Reference.bib&quot; file will automatically be produced with all your references. Storage path by default is the GeoParams package folder. A specific storage path can be given as normal path with &quot;\filename&quot; in the end as a string. Use double backslash for subfolders. There is no file extension needed to be given.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Tables.jl#L1172-L1177">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.Phase2Dict" href="#GeoParams.Tables.Phase2Dict"><code>GeoParams.Tables.Phase2Dict</code></a> — <span class="docstring-category">Function</span></header><section><div><p>Phase2Dict() puts all parameters of a phase s in a dict.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Tables.jl#L32-L34">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.Phase2DictMd" href="#GeoParams.Tables.Phase2DictMd"><code>GeoParams.Tables.Phase2DictMd</code></a> — <span class="docstring-category">Function</span></header><section><div><p>Phase2DictMd() puts all parameters of a phase in a dict.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Tables.jl#L659-L662">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.Dict2LatexTable" href="#GeoParams.Tables.Dict2LatexTable"><code>GeoParams.Tables.Dict2LatexTable</code></a> — <span class="docstring-category">Function</span></header><section><div><p>Dict2LatexTable() writes a .tex file with all parameters from the Phase2Dict() output in a LaTeX table. rdigits will round numbers with more decimals than rdigits including numbers of 10 to power of n, n being an Integer, for representation purposes. For the exact numbers use the original implemented numbers from the creeplaws of the dict in src/CreepLaw/Data/DiffusionCreep.jl or src/CreepLaw/Data/DislocationCreep.jl.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Tables.jl#L387-L393">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.Dict2MarkdownTable" href="#GeoParams.Tables.Dict2MarkdownTable"><code>GeoParams.Tables.Dict2MarkdownTable</code></a> — <span class="docstring-category">Function</span></header><section><div><p>Dict2MarkdownTable() writes a .md file with all parameters from the Phase2DictMd() output in a Markdown table. rdigits will round numbers with more decimals than rdigits including numbers of 10 to power of n, n being an Integer, for representation purposes. For the exact numbers use the original implemented numbers from the creeplaws of the dict in src/CreepLaw/Data/DiffusionCreep.jl or src/CreepLaw/Data/DislocationCreep.jl.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Tables.jl#L987-L992">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.detachFloatfromExponent" href="#GeoParams.Tables.detachFloatfromExponent"><code>GeoParams.Tables.detachFloatfromExponent</code></a> — <span class="docstring-category">Function</span></header><section><div><p>detachFloatfromExponent() returns the number of float decimals after the comma as Integer, the float number without the exponent as string  and the exponent after the &quot;e&quot; as string. The argument output returns &quot;1&quot; for &quot;ex&quot; if the input number has no exponent.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Tables.jl#L11-L17">source</a></section></article></article><nav class="docs-footer"><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Thursday 28 December 2023 11:51">Thursday 28 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.3/man/viscosity/index.html b/v0.5.3/man/viscosity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Viscosity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Viscosity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Viscosity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/viscosity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Effective-viscosity-computations"><a class="docs-heading-anchor" href="#Effective-viscosity-computations">Effective viscosity computations</a><a id="Effective-viscosity-computations-1"></a><a class="docs-heading-anchor-permalink" href="#Effective-viscosity-computations" title="Permalink"></a></h1><article class="docstring"><header><a class="docstring-binding" id="GeoParams.compute_viscosity_εII" href="#GeoParams.compute_viscosity_εII"><code>GeoParams.compute_viscosity_εII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_viscosity_εII(s::AbstractConstitutiveLaw, εII, kwargs...)</code></pre><p>Compute effective viscosity given a 2nd invariant of the deviatoric strain rate tensor, extra parameters are passed as a named tuple, e.g., (;T=T) </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Viscosity/Viscosity.jl#L13-L17">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.compute_viscosity_τII" href="#GeoParams.compute_viscosity_τII"><code>GeoParams.compute_viscosity_τII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_viscosity_τII(s::AbstractConstitutiveLaw, τII, kwargs...)</code></pre><p>Compute effective viscosity given a 2nd invariant of the deviatoric stress tensor and, extra parameters are passed as a named tuple, e.g., (;T=T) </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/Viscosity/Viscosity.jl#L26-L30">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../customrheology/">« Custom rheology</a><a class="docs-footer-nextpage" href="../elasticity/">Elasticity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Thursday 28 December 2023 11:51">Thursday 28 December 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.3/man/zirconages/index.html b/v0.5.3/man/zirconages/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Zircon Ages · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input 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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li class="is-active"><a class="tocitem" href>Zircon Ages</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Zircon Ages</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Zircon Ages</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/zirconages.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Zircon-age-parameterizations"><a class="docs-heading-anchor" href="#Zircon-age-parameterizations">Zircon age parameterizations</a><a id="Zircon-age-parameterizations-1"></a><a class="docs-heading-anchor-permalink" href="#Zircon-age-parameterizations" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Zircons are one of the ways in which we can date the age &amp; activity of magmatic systems. Here, we provide a computational routine that computes the zircon age distribution from temperature-time paths</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.ZirconAgeData" href="#GeoParams.ZirconAges.ZirconAgeData"><code>GeoParams.ZirconAges.ZirconAgeData</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ZirconAgeData</code></pre><p>Struct that holds default parameters for the calculations</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/ZirconAge/ZirconAges.jl#L27-L31">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>There is one main routine with which you can compute zircon age probability density functions from a range of temperature-ime paths:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.compute_zircon_age_PDF" href="#GeoParams.ZirconAges.compute_zircon_age_PDF"><code>GeoParams.ZirconAges.compute_zircon_age_PDF</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">time_Ma, PDF_zircons, time_Ma_average, PDF_zircon_average, time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF = compute_zircon_age_PDF(time_years_vecs::Vector{Vector}, Tt_paths_Temp_vecs::Vector{Vector}; ZirconData::ZirconAgeData = ZirconAgeData(), bandwidth=bandwidth, n_analyses=300)</code></pre><p>This computes the PDF (probability density function) with zircon age data from Vectors with Tt-paths	</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/ZirconAge/ZirconAges.jl#L296-L301">source</a></section></article><p>This, in turn, calls two other routines:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.compute_zircons_Ttpath" href="#GeoParams.ZirconAges.compute_zircons_Ttpath"><code>GeoParams.ZirconAges.compute_zircons_Ttpath</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF =  compute_zircons_Ttpath(time_years::AbstractArray{Float64,1}, Tt_paths_Temp::AbstractArray{Float64,2}; ZirconData::ZirconAgeData)</code></pre><p>This computes the number of zircons produced from a series of temperature-time path&#39;s.  The Tt-paths are stored in a 2D matrix <code>Tt_paths_Temp</code> with rows being the temperature at time <code>time_years</code>.</p><p><strong>Input:</strong></p><ul><li><code>time_years</code> : vector of length <code>nt</code> with the time in years (since the beginning of the simulation) of the points provided</li><li><code>Tt_paths_Temp</code> : array of size <code>(nt,npaths)</code>` with the temperature of every path.</li></ul><p>Output:</p><ul><li><code>prob</code> : a vector that gives the relative probability that a zircon with a given age exists</li><li><code>ages_eruptible</code> : age of eruptble magma</li><li><code>number_zircons</code> : 1D array of size <code>(nt,)</code></li><li><code>T_av_time</code>: vector of size <code>nt</code> that contains the average T of the paths</li><li><code>T_sd_time</code>: vector of size <code>nt</code> that contains the standard deviation of the T of the paths</li><li><code>cumPDF</code>: vector of size <code>nt</code> that contains the cumulative probability density function that we have an age of less than a certain one in the samples</li></ul><p>This routine was developed based on an R-routine provided as electronic supplement in the paper:</p><ul><li>Weber, G., Caricchi, L., Arce, J.L., Schmitt, A.K., 2020. Determining the current size and state of subvolcanic magma reservoirs. Nat Commun 11, 5477. https://doi.org/10.1038/s41467-020-19084-2</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/ZirconAge/ZirconAges.jl#L98-L120">source</a></section><section><div><pre><code class="nohighlight hljs">time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF  = compute_zircons_Ttpath(time_years_vecs::Vector{Vector{Float64}}, Tt_paths_Temp::Vector{Vector{Float64}}; ZirconData::ZirconAgeData = ZirconAgeData())</code></pre><p>This accepts Vector{Vector} as input for time and temperature of each Tt-path. Here, the length of the vector can be variable between different points.</p><p>Internally, we interpolate this into a 2D matrix and a longer vector that includes all paths and a single vector with times </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/ZirconAge/ZirconAges.jl#L205-L212">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.zircon_age_PDF" href="#GeoParams.ZirconAges.zircon_age_PDF"><code>GeoParams.ZirconAges.zircon_age_PDF</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">zircon_age_PDF(ages_eruptible::AbstractArray{Float64,1}, number_zircons::AbstractArray{Float64,2}, bandwidth=1e5, n_analyses=300, ZirconData::ZirconAgeData)</code></pre><p>Compute probability density functions for zircon age path&#39;s describes in <code>number_zircons</code> with age <code>ages_eruptible</code> (both computed ). <code>bandwidth</code> is the smoothening window of the resulting curves (in years), whereas <code>n_analyses</code> are the number of analyses done. 	</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/7c984f7d24a9d34a2df9382da00e9994c0c12c33/src/ZirconAge/ZirconAges.jl#L256-L260">source</a></section></article><p>We also provide a plotting routine, provided the GLMakie.jl package is loaded, which produces figures such as: <img src="../assets/img/ZirconAge_PDF.png" alt="subet3"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../TASclassification/">« TAS classification</a><a class="docs-footer-nextpage" href="../phasediagrams/">Phase Diagrams »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Thursday 28 December 2023 11:51">Thursday 28 December 2023</span>. 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The interpolation object is directly encoded in the PhaseDiagram_LookupTable` object.  \n\n\n\n\n\n","category":"function"},{"location":"man/phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","page":"Phase Diagrams","title":"GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","text":"Contains data of a Phase Diagram that is regularly spaced in P & T\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#MaterialParameters","page":"Material Parameters","title":"MaterialParameters","text":"","category":"section"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"Material properties for a given phase can be set with SetMaterialParams, whereas all properties are  stored in the MaterialParams structure. Information about the material parameter is found at MaterialParamsInfo. This can be employed ","category":"page"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"MaterialParamsInfo\nSetMaterialParams\nMaterialParams","category":"page"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParamsInfo","text":"MaterialParamsInfo\n\nStructure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.\n\nUsually used in combination with param_info(the_parameter_of_interest)\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.SetMaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.SetMaterialParams","text":"SetMaterialParams(; Name::String=\"\", Phase::Int64=1,\n                    Density             =   nothing, \n                    Gravity             =   nothing,\n                    CreepLaws           =   nothing, \n                    Elasticity          =   nothing, \n                    Plasticity          =   nothing, \n                    CompositeRheology   =   nothing,\n                    Conductivity        =   nothing, \n                    HeatCapacity        =   nothing, \n                    RadioactiveHeat     =   nothing,\n                    LatentHeat          =   nothing,\n                    ShearHeat           =   nothing,\n                    Melting             =   nothing,\n                    SeismicVelocity     =   nothing,\n                    CharDim::GeoUnits   =   nothing)\n\nSets material parameters for a given phase. \n\nIf CharDim is specified the input parameters are non-dimensionalized.   Note that if Density is specified, we also set Gravity even if not explicitly listed\n\nExamples\n\nDefine two viscous creep laws & constant density:\n\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\",\n                       Density   = ConstantDensity(),\n                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))\nPhase 1 : Viscous Matrix\n        | [dimensional units]\n        | \n        |-- Density           : Constant density: ρ=2900 kg m⁻³ \n        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  \n        |                       Linear viscosity: η=1.0e21 Pa s\n\nDefine two viscous creep laws & P/T dependent density and nondimensionalize\n\njulia> CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\", Phase=33,\n                              Density   = PT_Density(),\n                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),\n                              CharDim   = CharUnits_GEO)\nPhase 33: Viscous Matrix\n        | [non-dimensional units]\n        | \n        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0 \n        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18 \n        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001  \n        |                       Linear viscosity: η=10000.0 \n\nYou can also create an array that holds several parameters:\n\njulia> MatParam        =   Array{MaterialParams, 1}(undef, 2);\njulia> Phase           =   1;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Upper Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                            Density  = ConstantDensity(ρ=2900kg/m^3));\njulia> Phase           =   2;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Lower Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),\n                            Density  = PT_Density(ρ0=3000kg/m^3));\njulia> MatParam\n2-element Vector{MaterialParams}:\n Phase 1 : Upper Crust\n    | [dimensional units]\n    | \n    |-- Density           : Constant density: ρ=2900 kg m⁻³ \n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  \n    |                       Linear viscosity: η=1.0e23 Pa s \n                            \n Phase 2 : Lower Crust\n    | [dimensional units]\n    | \n    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa \n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹  \n    |                       Linear viscosity: η=1.0e21 Pa s \n\n\n\n\n\n","category":"function"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParams","text":"MaterialParams\n\nStructure that holds all material parameters for a given phase\n\n\n\n\n\n","category":"type"},{"location":"man/contributing/#Contributing","page":"Contributing","title":"Contributing","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"You can contribute for example by adding new creep laws or by adding new constitutive relationships. If you invest a bit of time now, it will save others in the community a lot of time! The simplest way to do this is by cloning the repository, and creating a new branch for your feature. Once you are happy with what you added (and after you added a test to ensure that it will keep working with future changes), create a pull request and we will evaluate & merge it.","category":"page"},{"location":"man/contributing/#Style-Guide","page":"Contributing","title":"Style Guide","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Follow the style of the surrounding text when making changes. When adding new features please try to stick to the following points whenever applicable.","category":"page"},{"location":"man/contributing/#Julia","page":"Contributing","title":"Julia","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"4-space indentation;\nmodules spanning entire files should not be indented, but modules that have surrounding code should;\nno blank lines at the start or end of files;\ndo not manually align syntax such as = or :: over adjacent lines;\nuse function ... end when a method definition contains more than one toplevel expression;\nrelated short-form method definitions don't need a new line between them;\nunrelated or long-form method definitions must have a blank line separating each one;\nsurround all binary operators with whitespace except for ::, ^, and :;\nfiles containing a single module ... end must be named after the module;\nmethod arguments should be ordered based on the amount of usage within the method body;\nmethods extended from other modules must follow their inherited argument order, not the above rule;\nexplicit return should be preferred except in short-form method definitions;\navoid dense expressions where possible e.g. prefer nested ifs over complex nested ?s;\ninclude a trailing , in vectors, tuples, or method calls that span several lines;\ndo not use multiline comments (#= and =#);\nwrap long lines as near to 92 characters as possible, this includes docstrings;\nfollow the standard naming conventions used in Base.","category":"page"},{"location":"man/contributing/#Markdown","page":"Contributing","title":"Markdown","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Use unbalanced # headers, i.e. no # on the right hand side of the header text;\ninclude a single blank line between toplevel blocks;\nunordered lists must use * bullets with two preceding spaces;\ndo not hard wrap lines;\nuse emphasis (*) and bold (**) sparingly;\nalways use fenced code blocks instead of indented blocks;\nfollow the conventions outlined in the Julia documentation page on documentation.","category":"page"},{"location":"man/latentheat/#Latent-heat","page":"Latent heat","title":"Latent heat","text":"","category":"section"},{"location":"man/latentheat/#Methods","page":"Latent heat","title":"Methods","text":"","category":"section"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"Latent heat (of crystallisation) is defined as ","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","category":"page"},{"location":"man/latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","page":"Latent heat","title":"GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","text":"ConstantLatentHeat(Q_L=400kJ/kg)\n\nSet a constant latent heat:\n\n    Q_L  = cst\n\nwhere Q_L is the latent heat [kJkg].\n\n\n\n\n\n","category":"type"},{"location":"man/latentheat/#Computational-routines","page":"Latent heat","title":"Computational routines","text":"","category":"section"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"To compute, use this:","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"GeoParams.MaterialParameters.LatentHeat.compute_latent_heat","category":"page"},{"location":"man/zirconages/#Zircon-age-parameterizations","page":"Zircon Ages","title":"Zircon age parameterizations","text":"","category":"section"},{"location":"man/zirconages/#Methods","page":"Zircon Ages","title":"Methods","text":"","category":"section"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"Zircons are one of the ways in which we can date the age & activity of magmatic systems. Here, we provide a computational routine that computes the zircon age distribution from temperature-time paths","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.ZirconAgeData","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.ZirconAgeData","page":"Zircon Ages","title":"GeoParams.ZirconAges.ZirconAgeData","text":"ZirconAgeData\n\nStruct that holds default parameters for the calculations\n\n\n\n\n\n","category":"type"},{"location":"man/zirconages/#Computational-routines","page":"Zircon Ages","title":"Computational routines","text":"","category":"section"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"There is one main routine with which you can compute zircon age probability density functions from a range of temperature-ime paths:","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.compute_zircon_age_PDF","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.compute_zircon_age_PDF","page":"Zircon Ages","title":"GeoParams.ZirconAges.compute_zircon_age_PDF","text":"time_Ma, PDF_zircons, time_Ma_average, PDF_zircon_average, time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF = compute_zircon_age_PDF(time_years_vecs::Vector{Vector}, Tt_paths_Temp_vecs::Vector{Vector}; ZirconData::ZirconAgeData = ZirconAgeData(), bandwidth=bandwidth, n_analyses=300)\n\nThis computes the PDF (probability density function) with zircon age data from Vectors with Tt-paths\t\n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"This, in turn, calls two other routines:","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.compute_zircons_Ttpath\nGeoParams.zircon_age_PDF","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.compute_zircons_Ttpath","page":"Zircon Ages","title":"GeoParams.ZirconAges.compute_zircons_Ttpath","text":"prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF =  compute_zircons_Ttpath(time_years::AbstractArray{Float64,1}, Tt_paths_Temp::AbstractArray{Float64,2}; ZirconData::ZirconAgeData)\n\nThis computes the number of zircons produced from a series of temperature-time path's.  The Tt-paths are stored in a 2D matrix Tt_paths_Temp with rows being the temperature at time time_years.\n\nInput:\n\ntime_years : vector of length nt with the time in years (since the beginning of the simulation) of the points provided\nTt_paths_Temp : array of size (nt,npaths)` with the temperature of every path.\n\nOutput:\n\nprob : a vector that gives the relative probability that a zircon with a given age exists\nages_eruptible : age of eruptble magma\nnumber_zircons : 1D array of size (nt,)\nT_av_time: vector of size nt that contains the average T of the paths\nT_sd_time: vector of size nt that contains the standard deviation of the T of the paths\ncumPDF: vector of size nt that contains the cumulative probability density function that we have an age of less than a certain one in the samples\n\nThis routine was developed based on an R-routine provided as electronic supplement in the paper:\n\nWeber, G., Caricchi, L., Arce, J.L., Schmitt, A.K., 2020. Determining the current size and state of subvolcanic magma reservoirs. Nat Commun 11, 5477. https://doi.org/10.1038/s41467-020-19084-2\n\n\n\n\n\ntime_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF  = compute_zircons_Ttpath(time_years_vecs::Vector{Vector{Float64}}, Tt_paths_Temp::Vector{Vector{Float64}}; ZirconData::ZirconAgeData = ZirconAgeData())\n\nThis accepts Vector{Vector} as input for time and temperature of each Tt-path. Here, the length of the vector can be variable between different points.\n\nInternally, we interpolate this into a 2D matrix and a longer vector that includes all paths and a single vector with times \n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/#GeoParams.ZirconAges.zircon_age_PDF","page":"Zircon Ages","title":"GeoParams.ZirconAges.zircon_age_PDF","text":"zircon_age_PDF(ages_eruptible::AbstractArray{Float64,1}, number_zircons::AbstractArray{Float64,2}, bandwidth=1e5, n_analyses=300, ZirconData::ZirconAgeData)\n\nCompute probability density functions for zircon age path's describes in number_zircons with age ages_eruptible (both computed ). bandwidth is the smoothening window of the resulting curves (in years), whereas n_analyses are the number of analyses done. \t\n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"We also provide a plotting routine, provided the GLMakie.jl package is loaded, which produces figures such as: (Image: subet3)","category":"page"},{"location":"man/TASclassification/#TAS-rock-classification","page":"TAS classification","title":"TAS rock classification","text":"","category":"section"},{"location":"man/TASclassification/#Methods","page":"TAS classification","title":"Methods","text":"","category":"section"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"When doing coupled petrological-geodynamic modelling, the evolution of the composition of the magma is more easily understood when a rock type is given. This routine is an implementation of the TAS diagram (Total Alkali (TA) vs Silica (S)) from Le Maitre et al., 2002.","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.TASclassificationData","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.TASclassificationData","page":"TAS classification","title":"GeoParams.TASclassification.TASclassificationData","text":"TASclassificationData\n\nStruct that holds default parameters for the TAS diagram\n\n\n\n\n\n","category":"type"},{"location":"man/TASclassification/#Computational-routine","page":"TAS classification","title":"Computational routine","text":"","category":"section"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"There is one routine with which you can retrieve the index of the TAS rock-type. The routine receives as an input a compositional vector [SiO2,Na2O+K2O] in wt% and sends back an index [1-15].","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.computeTASclassification","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.computeTASclassification","page":"TAS classification","title":"GeoParams.TASclassification.computeTASclassification","text":"classIndex computeTASclassification(chemComp::AbstractArray{_T,N}, ClassTASdata::TASclassificationData)\n\nThis compute the classification of the igneous rock using TAS diagram (Total Alkali (TA) vs Silica (S)).\n\nInput:\n\nchemComp : vector rock composition in oxide wt%\n\nOutput:\n\nclassIndex : an integer [0-14] corresponding to a TAS field (TASclassificationData.litho[classIndex])\n\nThis routine was developed based the TAS classification of Le Maitre et al., 2002\n\n\n\n\n\n","category":"function"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"Using the index of the rock-type you can get the name of the corresponding volcanic rock using the following routine.","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.retrieveTASrockType","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.retrieveTASrockType","page":"TAS classification","title":"GeoParams.TASclassification.retrieveTASrockType","text":"retrieveTASrockType(index::Int64; ClassTASdata::TASclassificationData = TASclassificationData())\n\nThis retrieves the name of the volcanic rock-type using the computed index\n\nInput:\n\nindex : integer [1-15]\n\nOutput:\n\nlitho : a string of the name of corresponding volcanic rock\n\n\n\n\n\n","category":"function"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"We also provide a plotting routine, provided the GLMakie.jl package is loaded, which produces figures such as: (Image: subet3)","category":"page"},{"location":"man/radioactiveheating/#Radioactive-heat","page":"Radioactive heat","title":"Radioactive heat","text":"","category":"section"},{"location":"man/radioactiveheating/#Methods","page":"Radioactive heat","title":"Methods","text":"","category":"section"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"Radioactive heat sources are defined as ","category":"page"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat\nGeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat\n","category":"page"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","text":"ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)\n\nSet a constant radioactive heat:\n\n    H_r  = cst\n\nwhere H_r is the radioactive heat source [Wattm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat","text":"ExpDepthDependent(H_0=1e-6Watt/m^3, h_r=10e3m, z_0=0m)\n\nSets an exponential depth-dependent radioactive \n\n    H_r  = H_0 exp left( - (z - z_0) over h_r right)\n\nwhere H_0 is the radioactive heat source [Wattm^3] at z=z_0 which decays with depth over a characteristic distance h_r.\n\n\n\n\n\n","category":"type"},{"location":"man/radioactiveheating/#Computational-routines","page":"Radioactive heat","title":"Computational routines","text":"","category":"section"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"To compute, use this:","category":"page"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat\nGeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat!","category":"page"},{"location":"man/tables/#Tables","page":"Tables","title":"Tables","text":"","category":"section"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"There are two different formats of output tables that can be produced:","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"LaTeX (always comes with \"References.bib\" for citations)\nMarkdown","category":"page"},{"location":"man/tables/#Producing-output-table","page":"Tables","title":"Producing output table","text":"","category":"section"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"ParameterTable() is used to produce an output table of all the material parameters in your phase(s) in LaTeX or Markdown format. All you need is a dimensional phase as defined in section 2. Material Parameters in the README.md of GeoParams. This phase should be given to ParameterTable as first argument. There are optional arguments which can be given in ParameterTable. Those are format, filename and rdigits. The format keyword determines whether your table should be in LaTeX or Markdown format (should be given as string). filename determines the name of the file but can also be used to save the file in a different directory other than the GeoParams package directory (should be given as string, note: no file endings needed since they will be determined by the format keyword!). rdigits gives the numbers of decimals to which all parameter values will be rounded (should be given as integer).","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"Example 1:","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"julia> MatParam = SetMaterialParams(Name=\"Viscous Matrix\", Phase=1,\n                                     Density   = ConstantDensity(),\n                                     CreepLaws = LinearViscous(η=1e23Pa*s))\n\njulia> ParameterTable(MatParam, format=\"tex\", filename=\"ParameterTable\", rdigits=4)","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"(Image: latex)","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"Example 2:","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"julia> ParameterTable(MatParam, format=\"md\", filename=\"ParameterTable\", rdigits=4)","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"(Image: markdown)","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"GeoParams.ParameterTable\nGeoParams.Phase2Dict\nGeoParams.Phase2DictMd\nGeoParams.Dict2LatexTable\nGeoParams.Dict2MarkdownTable\nGeoParams.detachFloatfromExponent","category":"page"},{"location":"man/tables/#GeoParams.Tables.ParameterTable","page":"Tables","title":"GeoParams.Tables.ParameterTable","text":"ParameterTable() creates a table with all parameters saved in the Phase struct. It lets you choose between \"latex\" and \"markdown\" as table formats with LaTeX as default. Creates a filename.tex or filename.md file as output. If \"latex\" is chosen a \"Reference.bib\" file will automatically be produced with all your references. Storage path by default is the GeoParams package folder. A specific storage path can be given as normal path with \"\\filename\" in the end as a string. Use double backslash for subfolders. There is no file extension needed to be given.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.Phase2Dict","page":"Tables","title":"GeoParams.Tables.Phase2Dict","text":"Phase2Dict() puts all parameters of a phase s in a dict.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.Phase2DictMd","page":"Tables","title":"GeoParams.Tables.Phase2DictMd","text":"Phase2DictMd() puts all parameters of a phase in a dict.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.Dict2LatexTable","page":"Tables","title":"GeoParams.Tables.Dict2LatexTable","text":"Dict2LatexTable() writes a .tex file with all parameters from the Phase2Dict() output in a LaTeX table. rdigits will round numbers with more decimals than rdigits including numbers of 10 to power of n, n being an Integer, for representation purposes. For the exact numbers use the original implemented numbers from the creeplaws of the dict in src/CreepLaw/Data/DiffusionCreep.jl or src/CreepLaw/Data/DislocationCreep.jl.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.Dict2MarkdownTable","page":"Tables","title":"GeoParams.Tables.Dict2MarkdownTable","text":"Dict2MarkdownTable() writes a .md file with all parameters from the Phase2DictMd() output in a Markdown table. rdigits will round numbers with more decimals than rdigits including numbers of 10 to power of n, n being an Integer, for representation purposes. For the exact numbers use the original implemented numbers from the creeplaws of the dict in src/CreepLaw/Data/DiffusionCreep.jl or src/CreepLaw/Data/DislocationCreep.jl.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.detachFloatfromExponent","page":"Tables","title":"GeoParams.Tables.detachFloatfromExponent","text":"detachFloatfromExponent() returns the number of float decimals after the comma as Integer, the float number without the exponent as string  and the exponent after the \"e\" as string. The argument output returns \"1\" for \"ex\" if the input number has no exponent.\n\n\n\n\n\n","category":"function"},{"location":"man/listfunctions/#List-of-all-functions","page":"List of functions","title":"List of all functions","text":"","category":"section"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity","page":"Seismic Velocity","title":"Seismic velocity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"Seismic velocity can specified in a number of ways","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","text":"ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)\n\nSet a constant seismic P and S-wave velocity:\n\n    V_p = cst\n\n    V_s = cst\n\nwhere V_p V_s are the P-wave and S-wave velocities [kms].\n\n\n\n\n\n","category":"type"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.","category":"page"},{"location":"man/seismicvelocity/#Computational-routines","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To evaluate seismic velocity within a user routine, use this:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.compute_swave_velocity!\nGeoParams.compute_pwave_velocity!\nGeoParams.compute_pwave_velocity\nGeoParams.compute_swave_velocity","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity-correction-for-partial-melt","page":"Seismic Velocity","title":"Seismic velocity correction for partial melt","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-2","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"The routine uses the reduction formulation of Clark et al., (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-2","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute melt-content based correction for seismic waves velocities, you can use:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.melt_correction","category":"page"},{"location":"man/seismicvelocity/#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity","page":"Seismic Velocity","title":"Seismic S-wave velocity correction for (shallow depth) porosity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-3","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"This routine is based on the equilibrium geometry model for the solid skeleton of Takei et al. (1998) and the porosity-depth empirical relationship of Chen et al. (2020)","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-3","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute porosity based correction for seismic S-wave velocity, you can use:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.porosity_correction","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity-correction-for-anelasticity","page":"Seismic Velocity","title":"Seismic velocity correction for anelasticity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-4","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"The routine uses the reduction formulation of karato (1993), using the quality factor formulation from Behn et al. (2009)","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-4","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute a correction of S-wave velocity for anelasticity, use this:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.anelastic_correction","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction","text":"    Vs_anel = anelastic_correction(water::Int64, Vs0::Float64,P::Float64,T::Float64)\n\nThis routine computes a correction of S-wave velocity for anelasticity\n\nInput:\n\nwater: water flag, 0 = dry; 1 = dampened; 2 = water saturated \nVs0  : S-wave velocitiy of the solid phase (with or without melt correction)\nP    : pressure given in Pa\nT    : temperature given in °K\n\nOutput:\n\nVs_anel : corrected S-wave velocity for anelasticity\n\nThe routine uses the reduction formulation of Karato (1993), using the quality factor formulation from Behn et al. (2009)\n\nReferences:\n\nKarato, S. I. (1993). Importance of anelasticity in the interpretation of seismic tomography. Geophysical research letters, 20(15), 1623-1626.\nBehn, M. D., Hirth, G., & Elsenbeck II, J. R. (2009). Implications of grain size evolution on the seismic structure of the oceanic upper mantle. Earth and Planetary Science Letters, 282(1-4), 178-189.\n\n\n\n\n\n","category":"function"},{"location":"man/plasticity/#Plasticity","page":"Plasticity","title":"Plasticity","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"Plasticity is a non-linear rheology that is activated once stresses exceed a certain yield criteria.","category":"page"},{"location":"man/plasticity/#Implemented-laws","page":"Plasticity","title":"Implemented laws","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"The following plastic law are implemented:","category":"page"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"GeoParams.MaterialParameters.Plasticity.DruckerPrager\nGeoParams.MaterialParameters.Plasticity.DruckerPrager_regularised","category":"page"},{"location":"man/plasticity/#Computational-routines","page":"Plasticity","title":"Computational routines","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"Usually, plasticity should be defined as part of a CompositeRheology structure and calculations can be done as with all other rheology computations by using compute_τII.","category":"page"},{"location":"man/plotting/#Plotting","page":"Plotting","title":"Plotting","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"We provide a number of plotting routines. Note that these plotting routines only become available once the GLMakie package is loaded.","category":"page"},{"location":"man/plotting/#Plot-CreepLaws","page":"Plotting","title":"Plot CreepLaws","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"GeoParams.PlotStressStrainrate_CreepLaw\nGeoParams.PlotHeatCapacity\nGeoParams.PlotConductivity\nGeoParams.PlotMeltFraction\nGeoParams.PlotPhaseDiagram\nGeoParams.PlotDeformationMap","category":"page"},{"location":"man/plotting/#GeoParams.PlotHeatCapacity","page":"Plotting","title":"GeoParams.PlotHeatCapacity","text":"T,Cp,plt = PlotHeatCapacity(cp::AbstractHeatCapacity; T=nothing, plt=nothing, lbl=nothing)\n\nCreates a plot of temperature T vs. heat capacity, as specified in cp (which can be temperature-dependent).\n\nOptional parameters\n\nT: temperature range\nplt: a previously generated plotting object\nlbl: label of the curve\n\nExample\n\njulia> cp = T_HeatCapacity_Whittacker()\njulia> T,Cp,plt = PlotHeatCapacity(cp)\n\nyou can now save the figure to disk with:\n\njulia> using Plots\njulia> savefig(plt,\"Tdependent_heatcapacity.png\")\n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#GeoParams.PlotConductivity","page":"Plotting","title":"GeoParams.PlotConductivity","text":"T,Kk,plt = PlotConductivity(cp::AbstractConductivity; T=nothing, plt=nothing, lbl=nothing)\n\nCreates a plot of temperature T vs. thermal conductivity, as specified in k (which can be temperature-dependent).\n\nOptional parameters\n\nT: temperature range\nplt: a previously generated plotting object\nlbl: label of the curve\n\nExample\n\njulia> k = T_Conductivity_Whittacker()\njulia> T,KK,plt = PlotConductivity(k)\n\nyou can now save the figure to disk with:\n\njulia> using Plots\njulia> savefig(plt,\"Tdependent_conductivity.png\")\n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#GeoParams.PlotPhaseDiagram","page":"Plotting","title":"GeoParams.PlotPhaseDiagram","text":"plt, data, Tvec, Pvec = PlotPhaseDiagram(p::PhaseDiagram_LookupTable; fieldname::Symbol, Tvec=nothing, Pvec=nothing)\n\nPlots a phase diagram as a function of T (x-axis) and P (y-axis). We either use the default ranges of the diagram, or you can specify the temperature and pressure ranges (while specifying units). The return arguments are the plotting object plt (so you can modify properties) as well as the data that is being plotted\n\nExample\n\njulia> PD_data =  Read_LaMEM_Perple_X_Diagram(\"Peridotite.in\")\nPerple_X/LaMEM Phase Diagram Lookup Table:\n                      File    :   Peridotite.in\n                      T       :   293.0 - 1573.000039\n                      P       :   1.0e7 - 2.9999999944e9\n                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp\n                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs\n                                  :Vp, :Vs, :VpVs, :cpxFrac\njulia> PlotPhaseDiagram(PD_data,:meltFrac, Tvec=(100:1:1400).*C, Pvec=(.1:.1:30).*kbar )\n\nThis will generate the following plot (Image: subet2)\n\nYou can also use the default pressure/temperature ranges in the diagrams:\n\njulia> PlotPhaseDiagram(PD_data,:Rho)\n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#GeoParams.PlotDeformationMap","page":"Plotting","title":"GeoParams.PlotDeformationMap","text":"fig = PlotDeformationMap(v;    args=(P=0.0, d=1e-3, f=1.0),\n                            σ = (1e-2, 1e8),                # in MPa\n                            T = (10, 1000),                 # in C\n                            ε = (1e-22, 1e-8),              # in 1/s\n                            n = 400,                        # number of points\n                            rotate_axes = false,            # flip x & y axes\n                            strainrate = true,              # strainrate (otherwise stress)\n                            viscosity = false,              # plot viscosity instead of strainrate/stress\n                            boundaries = true,              # plot deformation boundaries\n                            levels = 20,                    # number of contour levels\n                            colormap=:viridis,              # colormap\n                            filename=nothing,               # if you want to save this to file\n                            fontsize=40,                    # fontsize of labels\n                            res=(1200, 900))                # resolution in pixels\n\nCreates a deformation mechanism map (T/εII vs. stress/viscosity or T/τII vs. strainrate/viscosity) for given (composite) rheology v\n\nExample\n\njulia> v1 = SetDiffusionCreep(\"Dry Anorthite | Rybacki et al. (2006)\")\njulia> v2 = SetDislocationCreep(\"Dry Anorthite | Rybacki et al. (2006)\")\njulia> v=CompositeRheology(v1,v2)\njulia> PlotDeformationMap(v, levels=100, colormap=:roma)\n\nNext, let's plot viscosity and flip x & y axis:\n\njulia> PlotDeformationMap(v, viscosity=true, rotate_axes=true)\n\nInstead of plotting stress vs. T and computing strainrate, we can also provide strainrate/T and compute stress:\n\njulia> PlotDeformationMap(v, strainrate=false)\n\nOr plot viscosity but only add contours in a certain range:\n\njulia> PlotDeformationMap(v,  strainrate=false, viscosity=true, levels=Vector(18:.25:24))\n\n\n\n\n\n","category":"function"},{"location":"man/geounit/#GeoUnit","page":"GeoUnit","title":"GeoUnit","text":"","category":"section"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Most parameters have physical units (100km, 9.81 ms⁻²). Yet, within numerical solvers it is usually not a good idea to compute with the actual SI units as they (at least in geosciences) tend to result in very large/small numbers, which can cause in roundoff errors.  Therefore, we usually convert the dimensional units into non-dimensional ones befeore starting computations. The results can than be converted back to more convenient units for us when we generate the output (plots, for example).","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"This requires a way to store the dimensions of a parameter, but also, once they are made nondimensional, the original units (otherwise we can't convert them back to dimensional values).","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"For that reason, we use the GeoUnit structure, defined as ","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"struct GeoUnit{T,U}\n    val          :: T\n    unit         :: U\n    isdimensional:: Bool\nend","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"You can define a GeoUnit as:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> a = GeoUnit(100km)\nGeoUnit{dimensional, km}, \n100.0\njulia> b=GeoUnit(100s)\nGeoUnit{dimensional, s}, \n100.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Dividing the two gives the expected result","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> c=a/b\nGeoUnit{dimensional, km s⁻¹·⁰}, \n1.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Can also be a vector:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> T = GeoUnit(100K:10.0K:1000K)\nGeoUnit{dimensional, K}, \n100.0:10.0:1000.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"The numerical value is obtained with:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> NumValue(c)\n1.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"It's unit with","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> Unit(c)\nkm s⁻¹·⁰","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"and the value with unit with","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> Value(c)\n1.0 km s⁻¹·⁰","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"If you multiply or divide a GeoUnit with a normal number, we assume that you are no longer interested in the units and you'll get a Float64:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> c*100\n100.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"The value of the GeoUnit struct becomes clear once we non-dimensionalize it (as explained in more detail in a separate page). For that, first specify which characteristic values you want to use for non-dimensionalisation: ","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> CharDim = GEO_units(length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas);","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Let's define a stress:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> σ=GeoUnit(10MPa)\nGeoUnit{dimensional, MPa}, \n10.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"And transfer it to nondimensional units:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> σ_nd = nondimensionalize(σ,CharDim)\nGeoUnit{nondimensional, MPa}, \n0.9999999999999998","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Instead of 1e7 Pa, we now have 1.0; yet at the same time we know that the original unit of σ_nd was in MPa, which allows to transfer it back to dimensional units:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> dimensionalize(σ_nd,CharDim)\nGeoUnit{dimensional, MPa}, \n10.0","category":"page"},{"location":"man/creeplaws/#CreepLaws","page":"Creep laws","title":"CreepLaws","text":"","category":"section"},{"location":"man/creeplaws/#Implemented-creep-laws","page":"Creep laws","title":"Implemented creep laws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"The following viscous creep laws are implemented:","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"GeoParams.LinearViscous\nGeoParams.PowerlawViscous\nGeoParams.DislocationCreep\nGeoParams.SetDislocationCreep\nGeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep\nGeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous","text":"LinearViscous(η=1e20Pa*s)\n\nDefines a linear viscous creeplaw \n\nThe (isotopic) linear viscous rheology is given by  \n\n    tau_ij = 2 eta dotvarepsilon_ij \n\nor\n\n    dotvarepsilon_ij  = tau_ij  over 2 eta \n\nwhere eta_0 is the reference viscosity [Pa*s] at reference strain rate dotvarepsilon_0[1/s], and n the power law exponent []. \n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous","text":"PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)\n\nDefines a power law viscous creeplaw as: \n\n    tau_ij^n  = 2 eta_0 left( dotvarepsilon_ij over dotvarepsilon_0 right)\n\nwhere eta is the effective viscosity [Pa*s].\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep","text":"DislocationCreep(n = 1.0NoUnits, r = 0.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )\n\nDefines the flow law parameter of a dislocation creep law.\n\nThe (isotropic) dislocation creep law, as used by experimentalists, is given by  \n\n     dotgamma = A sigma_mathrmd^n f_mathrmH2O^r expleft(-fracE+PVRTright)\n\nwhere \n\nn is the power law exponent  \nr is the exponent of fugacity dependence \nA is a pre-exponential factor mathrmMPa^-ns^-1 (if manually defined, n and r must be either pre-defined or substituted) \nE is the activation energy mathrmkJmol \nV is the activation volume mathrmm^3mol \ndotgamma is the strain rate mathrm1s \nsigma_mathrmd is the differential stress mathrmMPa which are converted into second invariants using the Apparatus variable that can be\n\neither AxialCompression, SimpleShear or Invariant. If the flow law parameters are already given as a function of second invariants, choose Apparatus=Invariant.\n\nExample\n\njulia> x2 = DislocationCreep(n=3)\nDislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep","text":"DiffusionCreep(r = 0NoUnits, p = A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )\n\nDefines the flow law parameter of a dislocation creep law.\n\nThe (isotropic) diffusion creep law, as used by experimentalists, is given by  \n\n     dotgamma = A sigma_mathrmd d^mathrmp f_mathrmH2O^r expleft(-fracE+PVRTright)\n\nwhere \n\nr is the exponent of fugacity dependence \np is the exponent of grain size\nA is a pre-exponential factor mathrmMPa^-ns^-1 (if manually defined, n and r must be either pre-defined or substituted) \nE is the activation energy mathrmkJmol \nV is the activation volume mathrmm^3mol \ndotgamma is the strain rate mathrm1s \nsigma_mathrmd is the differential stress mathrmMPa\n\nThe experimental parameters are converted into second invariants using the Apparatus variable that can be either AxialCompression, SimpleShear or Invariant. If the flow law parameters are already given as a function of second invariants, choose Apparatus=Invariant.\n\nExample\n\njulia> x2 = DiffusionCreep(Name=\"test\")\nDiffusionCreep: Name = test, n=1.0, r=0.0, p=-3.0, A=1.5 m³·⁰ MPa⁻¹·⁰ s⁻¹·⁰, E=500.0 kJ mol⁻¹·⁰, V=2.4e-5 m³·⁰ mol⁻¹·⁰, FT=1.7320508075688772, FE=1.1547005383792517)\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","text":"SetDiffusionCreep[\"Name of Diffusion Creep\"]\n\nThis is a dictionary with pre-defined creep laws    \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#Computational-routines-for-creep-laws","page":"Creep laws","title":"Computational routines for creep laws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"Once a creep rheology is defined, we can use the following routines to perform computations within the solvers","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"CreepLawVariables\nGeoParams.compute_εII\nGeoParams.compute_εII!\nGeoParams.compute_τII\nGeoParams.compute_τII!\nGeoParams.CorrectionFactor\nGeoParams.RemoveTensorCorrection","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII","text":"compute_εII(a::DiffusionCreep, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)\n\nReturns diffusion creep strainrate as a function of 2nd invariant of the stress tensor tau_II \n\n    dotε_II = A τ_II^n d^p f_H_2O^r exp left(- E + PV over RT right)\n\n\n\n\n\ncompute_εII(a::GrainBoundarySliding, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)\n\nReturns grain boundary sliding strainrate as a function of 2nd invariant of the stress tensor tau_II \n\n    dotε_II = A τ_II^n d^p exp left(- E + PV over RT right)  ÄNDERN\n\n\n\n\n\ncompute_εII(s::ConstantElasticity{_T}, τII; τII_old, dt)\n\nComputes elastic strainrate given the deviatoric stress at the current (τII) and old timestep (τII_old), for a timestep dt:\n\n    dotvarepsilon^el = 1 over 2 G D tau_II over Dt   1 over 2 G tau_II- tildetau_II^old over dt \n\nNote that we here solve the scalar equation, which is sufficient for isotropic cases. In tensor form, it would be\n\n    dotvarepsilon^el_ij = 1 over 2 G  tau_ij - tildetau_ij^old over dt \n\nhere tildetau_ij^old is the rotated old deviatoric stress tensor to ensure objectivity (this can be done with Jaumann derivative, or also by using the full rotational formula).\n\n\n\n\n\ncompute_εII(p::DruckerPrager{_T,U,U1}, λdot::_T, τII::_T,  P)\n\nThis computes plastic strain rate invariant for a given λdot\n\n\n\n\n\ncompute_εII(p::DruckerPrager_regularised{_T,U,U1}, λdot::_T, τII::_T,  P)\n\nThis computes plastic strain rate invariant for a given λdot\n\n\n\n\n\ncompute_εII(v::Parallel{T,N}, τII, args; tol=1e-6, verbose=false, n=1)\n\nComputing εII as a function of τII for a Parallel elements is (usually) a nonlinear problem\n\n\n\n\n\ncompute_εII(v::CompositeRheology{T,N}, τII, args; tol=1e-6, verbose=false, n=1)\n\nComputing εII as a function of τII for a composite element is the sum of the individual contributions\n\n\n\n\n\ncompute_εII(v::AbstractPlasticity, τII::_T, args; tol=1e-6, verbose=true)\n\nPerforms local iterations to compute the plastic strainrate. Note that the non-plastic strainrate, ε_np, should be part of args\n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!","text":"compute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)\n\nComputes strainrate as a function of stress\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)\n\nComputes strainrate as a function of stress\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, s::LinearViscous, TauII::AbstractArray{_T,N})\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, s::ArrheniusType, TauII::AbstractArray{_T,N})\n\n\n\n\n\ncompute_εII!(ε_el::AbstractArray{_T,N}, s::ConstantElasticity{_T}; τII::AbstractArray{_T,N}, τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)\n\nIn-place computation of the elastic shear strainrate for given deviatoric stress invariants at the previous (τII_old) and new (τII) timestep, as well as the timestep dt  \n\n    dotvarepsilon^el = 1 over 2 G D tau_II over Dt   1 over 2 G tau_II- tau_II^old over dt \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII","text":"compute_τII(a::DislocationCreep, EpsII; P, T, f, args...)\n\nComputes the stress for a Dislocation creep law given a certain strain rate\n\n\n\n\n\ncomputeCreepLaw_TauII(EpsII::_T, a::DiffusionCreep; T::_T, P=zero(_T), f=one(_T), d=one(_T), kwargs...)\n\nReturns diffusion creep stress as a function of 2nd invariant of the strain rate \n\n\n\n\n\ncomputeCreepLaw_TauII(EpsII::_T, a::GrainBoundarySliding; T::_T, P=zero(_T), d=one(_T), kwargs...)\n\nReturns grain boundary sliding stress as a function of 2nd invariant of the strain rate \n\n\n\n\n\ncompute_τII(a::PeierlsCreep, EpsII; P, T, f, args...)\n\nComputes the stress for a peierls creep law given a certain strain rate.\n\n\n\n\n\ncompute_τII(s::LinearViscous, EpsII; kwargs...)\n\nReturns second invariant of the stress tensor given a 2nd invariant of strain rate tensor \n\n\n\n\n\ncompute_τII(s::ArrheniusType, EpsII; kwargs...)\n\nReturns second invariant of the stress tensor given a 2nd invariant of strain rate tensor \n\n\n\n\n\nτII = compute_τII(v::CompositeRheology{T,N}, εII, args; tol=1e-6, verbose=false)\n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!","text":"compute_τII!(TauII::AbstractArray{_T,N}, a::DislocationCreep, EpsII::AbstractArray{_T,N}; \n    P =       zero(TauII)::AbstractArray{_T,N}, \n    T = ones(size(TauII))::AbstractArray{_T,N}, \n    f = ones(size(TauII))::AbstractArray{_T,N})\n\nComputes the deviatoric stress invariant for a dislocation creep law\n\n\n\n\n\ncompute_τII!(TauII::AbstractArray{_T,N}, a::PeierlsCreep, EpsII::AbstractArray{_T,N}; \n    T = ones(size(TauII))::AbstractArray{_T,N}, args...)\n\nComputes the deviatoric stress invariant for a peierls creep law.\n\n\n\n\n\ncompute_τII!(τII::AbstractArray{_T,N}, s::ConstantElasticity{_T}. ε_el::AbstractArray{_T,N}; τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)\n\nIn-place update of the elastic stress for given deviatoric strainrate invariants and stres invariant at the old (τII_old) timestep, as well as the timestep dt  \n\n    tau_II = 2 G dt dotvarepsilon^el + tau_II^old\n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#Heat-capacity","page":"Heat Capacity","title":"Heat capacity","text":"","category":"section"},{"location":"man/heatcapacity/#Methods","page":"Heat Capacity","title":"Methods","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"Heat capacity is defined as ","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity\nGeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","text":"ConstantHeatCapacity(cp=1050J/mol/kg)\n\nSet a constant heat capacity:\n\n    cp  = cst\n\nwhere cp is the thermal heat capacity [JkgK].\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","text":"T_HeatCapacity_Whittington()\n\nSets a temperature-dependent heat capacity following the parameterization of Whittington et al. (2009), Nature:\n\n    Cp = (a + b T - cT^2)m \n\nwhere Cp is the heat capacity [JkgK], and abc are parameters that dependent on the temperature T:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nmolmass =   0.22178kg/mol \n\nNote that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than JmolK as in eq.3/4 of the paper)\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#Computational-routines","page":"Heat Capacity","title":"Computational routines","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"To compute, use this:","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity\nGeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","text":"Cp = compute_heatcapacity(s:<AbstractHeatCapacity, P, T)\n\nReturns the heat capacity Cp at any temperature T and pressure P using any of the heat capacity laws implemented.\n\nCurrently available:\n\nConstantHeatCapacity\nT_HeatCapacity_Whittington\n\nExample\n\nUsing dimensional units\n\njulia> T  = (250:100:1250)*K;\njulia> cp = T_HeatCapacity_Whittington()\njulia> Cp = ComputeHeatCapacity(0,T,cp)\n11-element Vector{Unitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:\n  635.4269997294616 J kg⁻¹ K⁻¹\n  850.7470171764261 J kg⁻¹ K⁻¹\n  962.0959598489883 J kg⁻¹ K⁻¹\n 1037.5420433770641 J kg⁻¹ K⁻¹\n 1097.3517921966488 J kg⁻¹ K⁻¹\n 1149.2745563671706 J kg⁻¹ K⁻¹\n 1157.7915050948404 J kg⁻¹ K⁻¹\n 1172.3554874197264 J kg⁻¹ K⁻¹\n 1186.9194697445964 J kg⁻¹ K⁻¹\n  1201.483452069455 J kg⁻¹ K⁻¹\n 1216.0474343943067 J kg⁻¹ K⁻¹\n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","text":"compute_heatcapacity!(Cp::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat})\n\nIn-place computation of heat capacity Cp for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#Melting-Parameterizations","page":"Partial Melting","title":"Melting Parameterizations","text":"","category":"section"},{"location":"man/melting/#Methods","page":"Partial Melting","title":"Methods","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"A number of melting parameterisations are implemented, which can be set with:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.MeltingParam_Caricchi\nGeoParams.MeltingParam.MeltingParam_5thOrder\nGeoParams.MeltingParam.MeltingParam_4thOrder\nGeoParams.MeltingParam.MeltingParam_Quadratic\nGeoParams.MeltingParam.MeltingParam_Assimilation\nGeoParams.MeltingParam.SmoothMelting","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Caricchi","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Caricchi","text":"MeltingParam_Caricchi()\n\nImplements the T-dependent melting parameterisation used by Caricchi, Simpson et al. (as for example described in Simpson)\n\n    theta = (a - (T + c)) over b\n\n    phi_melt = 10 over (10 + e^theta)\n\nNote that T is in Kelvin. As default parameters we employ:\n\nb=23K  a=800K  c=27315K\n\nWhich gives a reasonable fit to experimental data of granodioritic composition (Piwinskii and Wyllie, 1968):\n\n(Image: MeltParam_Carrichi)\n\nReferences\n\nSimpson G. (2017) Practical finite element modelling in Earth Sciences Using MATLAB.\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_5thOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_5thOrder","text":"MeltingParam_5thOrder(a,b,c,d,e,f,T_s,T_l)\n\nUses a 5th order polynomial to describe the melt fraction phi between solidus temperature T_s and liquidus temperature T_l\n\n    phi = a T^5 + b T^4 + c T^3 + d T^2 + e T + f  textrm   for    T_s  T  T_l\n\n    phi = 1  textrm   if    TT_l\n\n    phi = 0  textrm   if    TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_5thOrder)\n\nThe default values are for a composite liquid-line-of-descent:\n\nthe upper part is for Andesite from: (Blatter, D. L. & Carmichael, I. S. (2001) Hydrous phase equilibria of a Mexican highsilica andesite: a candidate for a mantle origin? Geochim. Cosmochim. Acta 65, 4043–4065\nthe lower part is extrapolated to the granitic minimum using the Marxer & Ulmer LLD for Andesite (Marxer, F. & Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. Contributions Mineral. Petrol. 174, 84)\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_4thOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_4thOrder","text":"MeltingParam_4thOrder(b,c,d,e,f,T_s,T_l)\n\nUses a 4th order polynomial to describe the melt fraction phi between solidus temperature T_s and liquidus temperature T_l\n\n    phi = b T^4 + c T^3 + d T^2 + e T + f  textrm   for    T_s  T  T_l\n\n    phi = 1 textrm   if    TT_l\n\n    phi = 0  textrm   if    TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_4thOrder)\n\nThe default values are for Tonalite experiments from Marxer and Ulmer (2019):\n\nMarxer, F. & Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. Contributions Mineral. Petrol. 174, 84\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Quadratic","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Quadratic","text":"MeltingParam_Quadratic(T_s,T_l)\n\nQuadratic melt fraction parameterisation where melt fraction phi depends only on solidus (T_s) and liquidus (T_l) temperature:\n\n    phi = 10 - left( T_l - T over T_l - T_s right)^2\n\n    phi = 10 textrm if  TT_l\n\n    phi = 00 textrm if  TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_Quadratic)\n\nThis was used, among others, in Tierney et al. (2016) Geology\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Assimilation","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Assimilation","text":"MeltingParam_Assimilation(T_s,T_l,a)\n\nMelt fraction parameterisation that takes the assimilation of crustal host rocks into account, as used by Tierney et al. (2016) based upon a parameterisation of Spera and Bohrson (2001)\n\nHere, the fraction of molten and assimilated host rocks phi depends on the solidus (T_s) and liquidus (T_l) temperatures of the rocks, as well as on a parameter a=0005\n\n    X = left( T - T_s over T_l - T_s right)\n\n    phi = a cdot left( exp^2ln(100)X - 10 right) textrm if  X  05\n\n    phi = 1- a cdot exp^2ln(100)(1-X)  textrm if  X  05\n\n    phi = 10 textrm if  TT_l\n\n    phi = 00 textrm if  TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_Assimilation)\n\nThis was used, among others, in Tierney et al. (2016), who employed as default parameters:\n\n   T_s=97315 T_l=117315 a=0005\n\nReferences\n\nSpera, F.J., and Bohrson, W.A., 2001, Energy-Constrained Open-System Magmatic Processes I: General Model and Energy-Constrained Assimilation and Fractional Crystallization (EC- AFC) Formulation: Journal of Petrology, v. 42, p. 999–1018.\nTierney, C.R., Schmitt, A.K., Lovera, O.M., de Silva, S.L., 2016. Voluminous plutonism during volcanic quiescence revealed by thermochemical modeling of zircon. Geology 44, 683–686. https://doi.org/10.1130/G37968.1\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.SmoothMelting","page":"Partial Melting","title":"GeoParams.MeltingParam.SmoothMelting","text":"SmoothMelting(; p=MeltingParam_4thOrder(), k_sol=0.2/K,  k_liq=0.2/K)\n\nThis smoothens the melting parameterisation p around the solidus T_sol and liquidus T_liq using a smoothened Heaviside step functions for the solidus:\n\n    H_sol =  10 over  1 + exp( -2 k_sol (T - T_sol - 2 over k_sol) )  \n\nand liquidus:\n\n    H_liq =  10 - 10 over  1 + exp( -2 k_liq (T - T_liq + 2 over k_liq) )  \n\nThe resulting melt fraction phi is computed from the original melt fraction phi_0 (computed using one of the methods above) as:\n\n    phi =  phi_0 H_sol H_liq + 10 - H_liq\n\nThe width of the smoothening zones is controlled by k_sol k_liq (larger values = sharper boundary).\n\nThis is important, as jumps in the derivative dϕdT can cause numerical instabilities in latent heat computations, which is prevented with this smoothening.\n\nExample\n\nLet's consider a 4th order parameterisation:\n\njulia> using GLMakie, GeoParams\njulia> p = MeltingParam_4thOrder();\njulia> T= collect(650.0:1:1050.) .+ 273.15;\njulia> T,phi,dϕdT =  PlotMeltFraction(p,T=T);\n\nThe same but with smoothening:\n\njulia> p_s = SmoothMelting(p=MeltingParam_4thOrder(), k_liq=0.21/K);\n4th order polynomial melting curve: phi = -7.594512597174117e-10T^4 + 3.469192091489447e-6T^3 + -0.00592352980926T^2 + 4.482855645604745T + -1268.730161921053  963.15 K ≤ T ≤ 1270.15 K with smooth Heaviside function smoothening using k_sol=0.1 K⁻¹·⁰, k_liq=0.11 K⁻¹·⁰\njulia> T_s,phi_s,dϕdT_s =  PlotMeltFraction(p_s,T=T);\n\nWe can create plots of this with:\n\njulia> plt1 = plot(T.-273.15, phi, ylabel=\"Melt Fraction ϕ\", color=:red, label=\"original\", xlabel=\"Temperature [C]\")\njulia> plt1 = plot(plt1, T.-273.15, phi_s,  color=:black, label=\"smoothened\", legend=:bottomright)\njulia> plt2 = plot(T.-273.15, dϕdT, ylabel=\"dϕ/dT\", color=:red, label=\"original\", xlabel=\"Temperature [C]\")\njulia> plt2 = plot(plt2, T.-273.15, dϕdT_s,  color=:black, label=\"smoothened\", legend=:topright)\njulia> plot!(plt1,plt2,   xlabel=\"Temperature [C]\", layout=(2,1))\n\nThe derivative no longer has a jump now:\n\n(Image: MeltingParam_Smooth)\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#Computational-routines","page":"Partial Melting","title":"Computational routines","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"To compute the melt fraction at given T and P, use:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.compute_meltfraction!\nGeoParams.MeltingParam.compute_meltfraction","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction!","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction!","text":"compute_meltfraction!(ϕ::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T:AbstractArray{<:AbstractFloat}, p::PhaseDiagram_LookupTable)\n\nIn-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified.\n\n\n\n\n\ncompute_meltfraction(ϕ::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction","text":"compute_meltfraction(P,T, p::AbstractPhaseDiagramsStruct)\n\nComputes melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified.\n\n\n\n\n\nϕ = compute_meltfraction(Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"You can also obtain the derivative of melt fraction versus temperature with (useful to compute latent heat effects):","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.compute_dϕdT!\nGeoParams.MeltingParam.compute_dϕdT","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.compute_dϕdT!","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_dϕdT!","text":"compute_dϕdT!(ϕ::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputates the derivative of melt fraction ϕ versus temperature T, partial phi over partial T for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays. This is employed, for example, in computing latent heat terms in an implicit manner.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#GeoParams.MeltingParam.compute_dϕdT","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_dϕdT","text":"compute_dϕdT(P,T, p::AbstractPhaseDiagramsStruct)\n\nComputes derivative of melt fraction vs T in case we use a phase diagram lookup table. The table should have the column :meltFrac specified. The derivative is computed by finite differencing.\n\n\n\n\n\nϕ = compute_dϕdT(Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputates the derivative of melt fraction ϕ versus temperature T for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays. This is employed in computing latent heat terms in an implicit manner, for example\n\n\n\n\n\n","category":"function"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"Also note that phase diagrams can be imported using PerpleX_LaMEM_Diagram, which may also have melt content information. The computational routines work with that as well.","category":"page"},{"location":"man/melting/#Plotting-routines","page":"Partial Melting","title":"Plotting routines","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"You can use the routine PlotMeltFraction to create a plot, provided that the GLMakie package has been loaded","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.PlotMeltFraction","category":"page"},{"location":"man/melting/#GeoParams.PlotMeltFraction","page":"Partial Melting","title":"GeoParams.PlotMeltFraction","text":"T,phi,plt = PlotMeltFraction(p::AbstractMeltingParam; T=nothing, plt=nothing, lbl=nothing)\n\nCreates a plot of temperature T vs. melt fraction, as specified in p. The 1D curve can be evaluated at a specific pressure P which can be given as a scalar or as an array of the same size as T\n\nOptional parameters\n\nT: temperature range\nP: pressure\nplt: a previously generated plotting object\nlbl: label of the curve\n\nExample\n\njulia> p          =  MeltingParam_Caricchi()\njulia> T,phi,dϕdT =  PlotMeltFraction(p)\n\nyou can now save the figure to disk with:\n\njulia> using Plots\njulia> savefig(plt,\"MeltFraction.png\")\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#D-Strength-envelope","page":"1D Strength Envelope","title":"1D Strength envelope","text":"","category":"section"},{"location":"man/strengthenvelope/","page":"1D Strength Envelope","title":"1D Strength Envelope","text":"We provide a routine for computing a 1D strength envelope and the tools for setting up a temperature structure and lithostatic pressure profile.","category":"page"},{"location":"man/strengthenvelope/","page":"1D Strength Envelope","title":"1D Strength Envelope","text":"GeoParams.ConstTemp\nGeoParams.LinTemp\nGeoParams.HalfspaceCoolTemp\nGeoParams.CompTempStruct\nGeoParams.LithPres\nGeoParams.StrengthEnvelopeComp\nGeoParams.StrengthEnvelopePlot\n![XMasTree](../assets/XMasTree.png)","category":"page"},{"location":"man/strengthenvelope/#GeoParams.ConstTemp","page":"1D Strength Envelope","title":"GeoParams.ConstTemp","text":"ConstTemp(T=1000)\n\nSets a constant temperature inside the box\n\nParameters:\n\nT : the value\n\n\n\n\n\n","category":"type"},{"location":"man/strengthenvelope/#GeoParams.LinTemp","page":"1D Strength Envelope","title":"GeoParams.LinTemp","text":"LinTemp(Ttop=0, Tbot=1000)\n\nSets a linear temperature structure from top to bottom\n\nParameters:\n\nTtop: the value @ the top\nTbot: the value @ the bottom\n\n\n\n\n\n","category":"type"},{"location":"man/strengthenvelope/#GeoParams.HalfspaceCoolTemp","page":"1D Strength Envelope","title":"GeoParams.HalfspaceCoolTemp","text":"HalfspaceCoolTemp(Tsurface=0, Tmantle=1350, Age=60, Adiabat=0)\n\nSets a halfspace temperature structure in plate\n\nParameters:\n\nTsurface: surface temperature [C]\nTmantle:  mantle temperature [C]\nAge:      Thermal Age of plate [Myrs]\nAdiabat:  Mantle Adiabat [K/km]\n\n\n\n\n\n","category":"type"},{"location":"man/strengthenvelope/#GeoParams.CompTempStruct","page":"1D Strength Envelope","title":"GeoParams.CompTempStruct","text":"CompTempStruct(Z, s::AbstractTempStruct)\n\nReturns a temperature vector that matches the coordinate vector and temperature structure that were passed in\n\nParameters:\n\nZ: vector with depth coordinates\ns: Temperature structure (CostTemp, LinTemp, HalfspaceCoolTemp)\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#GeoParams.LithPres","page":"1D Strength Envelope","title":"GeoParams.LithPres","text":"LithPres(MatParam, Phases, ρ, T, dz, g)\n\nIteratively solves a 1D lithostatic pressure profile (compatible with temperature- and pressure-dependent densities)\n\nParameters:\n\nMatParam: a tuple of materials (including the following properties: Phase, Density)\nPhases:   vector with the distribution of phases\nρ:        density vector for initial guess(can be zeros)\nT:        temperature vector\ndz:       grid spacing\ng:        gravitational acceleration\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#GeoParams.StrengthEnvelopeComp","page":"1D Strength Envelope","title":"GeoParams.StrengthEnvelopeComp","text":"StrengthEnvelopeComp(MatParam::NTuple{N, AbstractMaterialParamsStruct}, Thickness::Vector{U}, TempType::AbstractTempStruct=LinTemp(0C, 800C), ε=1e-15/s, nz::Int64=101) where {N, U}\n\nCalculates a 1D strength envelope. Pressure used for Drucker Prager plasticity is lithostatic. To visualize the results in a GUI, use StrengthEnvelopePlot.\n\nParameters:\n\nMatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)\nThickness: a vector listing the thicknesses of the respective layers (should carry units)\nTempType:  the type of temperature profile (ConstTemp(), LinTemp(), HalfspaceCoolTemp())\nε:         background strainrate\nnz:        optional argument controlling the number of points along the profile (default = 101)\n\nExample:\n\njulia> using GLMakie\njulia> MatParam = (SetMaterialParams(Name=\"UC\", Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(\"Wet Quartzite | Ueda et al. (2008)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),\n                   SetMaterialParams(Name=\"MC\", Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(\"Plagioclase An75 | Ji and Zhao (1993)\"), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),\n                   SetMaterialParams(Name=\"LC\", Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(\"Maryland strong diabase | Mackwell et al. (1998)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));\njulia> Thickness = [15,10,15]*km;\n\njulia> StrengthEnvelopeComp(MatParam, Thickness, LinTemp(), ε=1e-15/s)\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#GeoParams.StrengthEnvelopePlot","page":"1D Strength Envelope","title":"GeoParams.StrengthEnvelopePlot","text":"StrengthEnvelopePlot(MatParam, Thickness; TempType, nz)\n\nRequires GLMakie\n\nCreates a GUI that plots a 1D strength envelope. In the GUI, temperature profile and strain rate can be adjusted. The Drucker-Prager plasticity uses lithostatic pressure.\n\nParameters:\n\nMatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)\nThickness: a vector listing the thicknesses of the respective layers (should carry units)\nTempType:  the type of temperature profile (LinTemp=default, HalfspaceCoolTemp, ConstTemp)\nnz:        optional argument controlling the number of points along the profile (default = 101)\n\nExample:\n\njulia> using GLMakie\njulia> MatParam = (SetMaterialParams(Name=\"UC\", Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(\"Wet Quartzite | Ueda et al. (2008)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),\n                   SetMaterialParams(Name=\"MC\", Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(\"Plagioclase An75 | Ji and Zhao (1993)\"), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),\n                   SetMaterialParams(Name=\"LC\", Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(\"Maryland strong diabase | Mackwell et al. (1998)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));\njulia> Thickness = [15,10,15]*km;\n\njulia> StrengthEnvelopePlot(MatParam, Thickness, LinTemp())\n\n\n\n\n\n","category":"function"},{"location":"man/elasticity/#Elasticity","page":"Elasticity","title":"Elasticity","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"Elasticity is, in geodynamics, often used in combination with viscous and plastic rheology.","category":"page"},{"location":"man/elasticity/#Implemented-laws","page":"Elasticity","title":"Implemented laws","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"We provide the following elastic constitutive relationships:","category":"page"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"GeoParams.ConstantElasticity\nGeoParams.SetConstantElasticity","category":"page"},{"location":"man/elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity","page":"Elasticity","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity","text":"ConstantElasticity(G, ν, K, E)\n\nStructure that holds parameters for constant, isotropic, linear elasticity.\n\n\n\n\n\n","category":"type"},{"location":"man/elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity","page":"Elasticity","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity","text":"SetConstantElasticity(; G=nothing, ν=nothing, E=nothing, Kb=nothing)\n\nThis allows setting elastic parameters by specifying 2 out of the 4 elastic parameters G (Elastic shear modulus), ν (Poisson's ratio), E (Young's modulus), or Kb (bulk modulus).\n\n\n\n\n\n","category":"function"},{"location":"man/elasticity/#Computational-routines","page":"Elasticity","title":"Computational routines","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"We can compute the elastic strainrate with:","category":"page"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"GeoParams.compute_εII\nGeoParams.compute_εII!","category":"page"},{"location":"man/viscosity/#Effective-viscosity-computations","page":"Viscosity","title":"Effective viscosity computations","text":"","category":"section"},{"location":"man/viscosity/","page":"Viscosity","title":"Viscosity","text":"GeoParams.compute_viscosity_εII\nGeoParams.compute_viscosity_τII","category":"page"},{"location":"man/viscosity/#GeoParams.compute_viscosity_εII","page":"Viscosity","title":"GeoParams.compute_viscosity_εII","text":"compute_viscosity_εII(s::AbstractConstitutiveLaw, εII, kwargs...)\n\nCompute effective viscosity given a 2nd invariant of the deviatoric strain rate tensor, extra parameters are passed as a named tuple, e.g., (;T=T) \n\n\n\n\n\n","category":"function"},{"location":"man/viscosity/#GeoParams.compute_viscosity_τII","page":"Viscosity","title":"GeoParams.compute_viscosity_τII","text":"compute_viscosity_τII(s::AbstractConstitutiveLaw, τII, kwargs...)\n\nCompute effective viscosity given a 2nd invariant of the deviatoric stress tensor and, extra parameters are passed as a named tuple, e.g., (;T=T) \n\n\n\n\n\n","category":"function"},{"location":"man/shearheating/#Shear-heating","page":"Shear heating","title":"Shear heating","text":"","category":"section"},{"location":"man/shearheating/#Methods","page":"Shear heating","title":"Methods","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"Heat caused by non-recoverable deformation can be specified in ","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","text":"ConstantShearheating(Χ=0.0NoUnits)\n\nSet the shear heating efficiency [0-1] parameter\n\nΧ  = cst\n\nwhere Chi is the shear heating efficiency [NoUnits]\n\nShear heating is computed as\n\nH_s = Chi cdot tau_ij(dotvarepsilon_ij - dotvarepsilon^el_ij)\n\n\n\n\n\n","category":"type"},{"location":"man/shearheating/#Computational-routines","page":"Shear heating","title":"Computational routines","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"To compute, use this:","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.compute_shearheating\nGeoParams.MaterialParameters.Shearheating.compute_shearheating!","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating","text":"H_s = compute_shearheating(s:<AbstractShearheating, τ, ε, ε_el)\n\nComputes the shear heating source term\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\n\n\n\n\nH_s = ComputeShearheating(s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating!","text":"compute_shearheating!(H_s, s:<AbstractShearheating,  τ, ε, ε_el)\n\nComputes the shear heating source term in-place\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\nNOTE: The shear heating terms require the full deviatoric stress & strain rate tensors, i.e.:\n\n2D tau_ij = left(\n                beginmatrix\n                    tau_xx  tau_xz \n                    tau_zx  tau_zz\n                endmatrix\n            right)\n\nSince tau_zx=tau_xz, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used!\n\n\n\n\n\ncompute_shearheating!(H_s, s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term H_s in-place when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#Nondimensionalization","page":"Nondimensionalization","title":"Nondimensionalization","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between GEO, SI or NO units:","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"SI units assume all input and output is in SI units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).\nGEO units uses SI units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as Myrs,km or MPa\nNO units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that velocity is given in m/s).","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"A dimensional parameter can be transformed into a non-dimensional one with nondimensionalize.","category":"page"},{"location":"man/nondimensionalize/#Specify-characteristic-values","page":"Nondimensionalization","title":"Specify characteristic values","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Characteristic values can be defined in 3 ways.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"GeoParams.Units\nAbstractGeoUnit\nGeoUnit\nGeoUnits\nGEO_units\nSI_units\nNO_units\n@unpack_val\n@unpack_units","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units","page":"Nondimensionalization","title":"GeoParams.Units","text":"This provides units and creates a non-dimensionalization object\n\n\n\n\n\n","category":"module"},{"location":"man/nondimensionalize/#GeoParams.Units.AbstractGeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.AbstractGeoUnit","text":"AbstractGeoUnit\n\nAbstract supertype for geo units.\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnit","text":"Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.\n\nHaving that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.\nWith the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnits","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnits","text":"GeoUnits\n\nStructure that holds parameters used for non-dimensionalization\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GEO_units","page":"Nondimensionalization","title":"GeoParams.Units.GEO_units","text":"GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)\n\nCreates a non-dimensionalization object using GEO units.\n\nGEO units implies that upon dimensionalization, time will be in Myrs, length in km, stress in MPa, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (km or m), provided the unit is specified.\n\nExamples:\n\njulia> CharUnits = GEO_units()\nEmploying GEO units \nCharacteristic values: \n         length:      1000 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\njulia> CharUnits.velocity\n1.0e-7 m s⁻¹\n\nIf we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic length:\n\njulia> CharUnits = GEO_units(length=10km)\nEmploying GEO units \nCharacteristic values: \n         length:      10 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.SI_units","page":"Nondimensionalization","title":"GeoParams.Units.SI_units","text":"CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)\n\nSpecify the characteristic values using SI units \n\nExamples:\n\njulia> CharUnits = SI_units(length=1000m)\nEmploying SI units \nCharacteristic values: \n         length:      1000 m\n         time:        1.0e19 s\n         stress:      10 Pa\n         temperature: 1000.0 K\n\nNote that the same can be achieved if the input is given in km:\n\njulia> CharUnits = SI_units(length=1km)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.NO_units","page":"Nondimensionalization","title":"GeoParams.Units.NO_units","text":"CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)\n\nSpecify the characteristic values in non-dimensional units\n\nExamples:\n\njulia> using GeoParams;\njulia> CharUnits = NO_units()\nEmploying NONE units \nCharacteristic values: \n         length:      1\n         time:        1.0 \n         stress:      1\n         temperature: 1.0\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_val","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_val","text":"This unpacks the numerical value of `GeoUnit` in a structure, without the units.\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_val ρ,α = r\njulia> α\n4.0e-5\njulia> typeof(α)\nFloat64\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_units","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_units","text":"This unpacks the numerical value with units of `GeoUnit` parameters in a structure\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_units ρ,α = r\njulia> α\n4.0e-5 K⁻¹·⁰\njulia> typeof(α)\nQuantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#(Non)-dimensionalize-parameters","page":"Nondimensionalization","title":"(Non)-dimensionalize parameters","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"nondimensionalize\ndimensionalize\nisDimensional","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units.nondimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.nondimensionalize","text":"nondimensionalize(param, CharUnits::GeoUnits{TYPE})\n\nNondimensionalizes param using the characteristic values specified in CharUnits\n\nExample 1\n\njulia> using GeoParams;\njulia> CharUnits =   GEO_units();\njulia> v         =   3cm/yr\n3 cm yr⁻¹ \njulia> v_ND      =   nondimensionalize(v, CharUnits) \n0.009506426344208684\n\nExample 2\n\nIn geodynamics one sometimes encounters more funky units\n\njulia> CharUnits =   GEO_units();\njulia> A         =   6.3e-2MPa^-3.05*s^-1\n0.063 MPa⁻³·⁰⁵ s⁻¹\njulia> A_ND      =   nondimensionalize(A, CharUnits) \n7.068716262102384e14\n\nIn case you are interested to see how the units of A look like in different units, use this function from the Unitful package:\n\njulia> uconvert(u\"Pa^-3.05*s^-1\",A) \n3.157479571851836e-20 Pa⁻³·⁰⁵\n\nand to see it decomposed in the basic SI units of length, mass and time:\n\njulia> upreferred(A)\n3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵\n\n\n\n\n\nparam = nondimensionalize(param::NTuple{N,Quantity}, g::GeoUnits{TYPE})\n\nnondimensionalizes a tuple of parameters    \n\n\n\n\n\nMatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nNon-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\n\n\nnondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nnondimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\nMatParam_ND = nondimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)\n\nNon-dimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.dimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.dimensionalize","text":"dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes param into the dimensions param_dim using the characteristic values specified in CharUnits.  \n\nExample\n\njulia> CharUnits =   GEO_units();\njulia> v_ND      =   nondimensionalize(3cm/yr, CharUnits) \n0.031688087814028945\njulia> v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) \n3.0 cm yr⁻¹\n\n\n\n\n\ndimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\nDimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nDimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\ndimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)\n\ndimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.isDimensional","page":"Nondimensionalization","title":"GeoParams.Units.isDimensional","text":"isDimensional(MatParam::AbstractMaterialParam)\n\ntrue if MatParam is in dimensional units.    \n\n\n\n\n\n","category":"function"},{"location":"man/density/#Density","page":"Density","title":"Density","text":"","category":"section"},{"location":"man/density/#Methods","page":"Density","title":"Methods","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"The density equation of state can be specified in a number of ways","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.ConstantDensity\nGeoParams.MaterialParameters.Density.PT_Density\nGeoParams.MaterialParameters.Density.Compressible_Density","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.ConstantDensity","page":"Density","title":"GeoParams.MaterialParameters.Density.ConstantDensity","text":"ConstantDensity(ρ=2900kg/m^3)\n\nSet a constant density:\n\n    rho  = cst\n\nwhere rho is the density [kgm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.PT_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.PT_Density","text":"PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)\n\nSet a pressure and temperature-dependent density:\n\n    rho  = rho_0 (10 - alpha (T-T_0) + beta  (P-P_0) )  \n\nwhere rho_0 is the density [kgm^3] at reference temperature T_0 and pressure P_0, alpha is the temperature dependence of density and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.Compressible_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.Compressible_Density","text":"Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)\n\nSet a pressure-dependent density:\n\n    rho  = rho_0 exp(β*(P - P_0))  \n\nwhere rho_0 is the density [kgm^3] at reference pressure P_0 and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#Computational-routines","page":"Density","title":"Computational routines","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"To evaluate density within a user routine, use this:","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.compute_density\nGeoParams.MaterialParameters.Density.compute_density!","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density","text":"compute_density(P,T, s::PhaseDiagram_LookupTable)\n\nInterpolates density as a function of T,P from a lookup table  \n\n\n\n\n\n","category":"function"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density!","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density!","text":"compute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I<:Integer}\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\nExample\n\njulia> MatParam = (SetMaterialParams(Name=\"Mantle\", Phase=1,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                        Density   = PT_Density()\n                        ),\n                    SetMaterialParams(Name=\"Crust\", Phase=2,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),\n                        Density   = ConstantDensity(ρ=2900kg/m^3))\n                  );\njulia> Phases = ones(Int64,400,400);\njulia> Phases[:,20:end] .= 2\njulia> rho     = zeros(size(Phases))\njulia> T       =  ones(size(Phases))\njulia> P       =  ones(size(Phases))*10\njulia> args = (P=P, T=T)\njulia> compute_density!(rho, MatParam, Phases, args)\njulia> rho\n400×400 Matrix{Float64}:\n2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮                            \n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n\nThe routine is made to minimize allocations:\n\njulia> using BenchmarkTools\njulia> @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)\n    203.468 μs (0 allocations: 0 bytes)\n\n_____________________________________________________________________________________________________________________________   \n\ncompute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/density/","page":"Density","title":"Density","text":"Note that density values are usually not used in itself in the governing PDE's, but usually in combination with other parameters, such as rho g or rho c_p. the non-dimensional value of rho may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.","category":"page"},{"location":"man/customrheology/#User-defined-rheology","page":"Custom rheology","title":"User-defined rheology","text":"","category":"section"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"CustomRheology allows the user to interface with GeoParams.jl API for rheology calculations: ","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"struct CustomRheology{F1, F2, T} <: AbstractCreepLaw\n    strain::F1\n    stress::F2\n    args::T\nend","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"where strain and stress are functions that compute the strain rate and deviatoric stress tensors, respectively, and args is a NamedTuple containing any constant (i.e. immutable) physical parameters needed by our CustomRheology. ","category":"page"},{"location":"man/customrheology/#Example:-Arrhenious-type-rheology","page":"Custom rheology","title":"Example: Arrhenious-type rheology","text":"","category":"section"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"The deviatoric stress tau_ij and strain rate tensors dotvarepsilon_ij are simply     tau_ij = 2 eta dotvarepsilon_ij qquad dotvarepsilon_ij  = tau_ij  over 2 eta","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"and the viscosity eta is temperature-dependant     eta = eta_0 * expleft(fracET+T_o-fracET_eta+T_oright)","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"where eta_0 and T_eta are the respective reference viscosity and temperature, T_o is the offset temperature, T is the local temperature, and E is activation energy. ","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Before defining the functions to compute tau and dotvarepsilon, it is convenient to define a helper function to compute the viscosity:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"@inline function custom_viscosity(\n    a::CustomRheology; T = 0.0, kwargs...\n)\n    (; η0, E, To, Tη) = a.args\n    η = η0 * exp(E / (T + To) - E / (Tη + To))\n    return  η\nend","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Then we just need to define two simple functions to compue the second invariants of tau_ij and dotvarepsilon_ij:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"# function to compute deviatoric stress\n@inline function custom_τII(\n    a::CustomRheology, EpsII; kwargs...\n)\n    η = custom_viscosity(a; kwargs...)\n    return 2.0 * (η * EpsII)\nend\n\n# function to compute strain rate\n@inline function custom_εII(\n    a::CustomRheology, TauII; kwargs...\n)\n    η = custom_viscosity(a; kwargs...)\n    return (TauII / η) * 0.5\nend","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Note that the key word argument kwargs... is needed in all the above functions for compatibility with GeoParams.jl. ","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Finally, we need a NamedTuple containing the physical parameters needed by custom_τII and custom_εII:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"# constant parameters, these are typically wrapped into a struct (compulsory)\nparameters = (;\n    η0 = 1.0,\n    E = 23.03,\n    To = 1.0,\n    Tη = 1.0,\n)","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Then the CustomRheology object is created","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"a = CustomRheology(custom_εII, custom_τII, parameters)","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Now we can use our new rheology object with GeoParams.jl methods:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"julia> args = (; T=0.5)\n(T = 0.5,)\n\njulia> τII, εII = 1.5,  0.5\n(1.5, 0.5)\n\njulia> ε = compute_εII(v, τII, args)\n0.016147090412110487\n\njulia> τ = compute_τII(v, εII, args)\n46.44799656521971\n\njulia> dεdτ = dεII_dτII(v, τII, args)\n0.010764726941406991\n\njulia> dτdε = dτII_dεII(v, εII, args)\n92.89599313043942","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"And also works for composite rheologies:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"julia> el = ConstantElasticity(; G=1.0)\nLinear elasticity with shear modulus: G = 1.0, Poisson's ratio: ν = 0.5, bulk modulus: Kb = Inf and Young's module: E=NaN\n\njulia> c = CompositeRheology(v, el)\n--?????----/\\/\\/--\n\njulia> args = (; dt=Inf, T=0.5)\n(dt = Inf, T = 0.5)\n\njulia> ε = compute_εII(c, τII, args)\n0.016147090412110487\n\njulia> τ = compute_τII(c, εII, args)\n46.44799656521971","category":"page"},{"location":"man/gravity/#Gravitational-acceleration","page":"Gravity","title":"Gravitational acceleration","text":"","category":"section"},{"location":"man/gravity/#Methods","page":"Gravity","title":"Methods","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"Gravitational acceleration is defined as ","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","text":"GravityConstant(g=9.81m/s^2)\n\nSet a constant value for the gravitational acceleration:\n\n    g  = 981 m s^-2\n\n\n\n\n\n","category":"type"},{"location":"man/gravity/#Computational-routines","page":"Gravity","title":"Computational routines","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"To compute, use this:","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","text":"compute_gravity(s:<AbstractGravity)\n\nReturns the gravitational acceleration \n\n\n\n\n\n","category":"function"},{"location":"#GeoParams.jl","page":"Home","title":"GeoParams.jl","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:","category":"page"},{"location":"","page":"Home","title":"Home","text":"Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).\nMaterial parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. ","category":"page"},{"location":"","page":"Home","title":"Home","text":"We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).","category":"page"},{"location":"man/conductivity/#Conductivity","page":"Conductivity","title":"Conductivity","text":"","category":"section"},{"location":"man/conductivity/#Methods","page":"Conductivity","title":"Methods","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"Thermal conductivity is defined as ","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity\nGeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington\nGeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised\nGeoParams.MaterialParameters.Conductivity.TP_Conductivity\nGeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity","text":"ConstantConductivity(k=3.0W/m/K)\n\nSet a constant conductivity\n\n    k  = cst\n\nwhere k is the thermal conductivity [WmK].\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington","text":"T_Conductivity_Whittington()\n\nSets a temperature-dependent conductivity following the parameterization of Whittington, A.G., Hofmeister, A.M., Nabelek, P.I., 2009. Temperature-dependent thermal diffusivity of the Earth’s crust and implications for magmatism. Nature 458, 319–321. https://doi.org/10.1038/nature07818. Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us to compute\n\n    Cp = a + b T - cT^2\n\n    kappa = dT - e textrm if  T=846K\n\n    kappa = f - g*T textrm if  T846K\n\n    rho = 2700 kgm^3\n\n    k = kappa rho Cp\n\nwhere Cp is the heat capacity [JmolK], and abc are parameters that dependent on the temperature T:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nd = 576.3m^2/s*K\ne = 0.062m^2/s\nf = 0.732m^2/s\ng = 0.000135m^2/s/K\n\nThis looks like:\n\n(Image: subet1)\n\nExample\n\njulia> using GLMakie, GeoParams\njulia> p=T_Conductivity_Whittington();\njulia> T,k,plt = PlotConductivity(p)\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised","text":"T_Conductivity_Whittington_parameterised()\n\nSets a temperature-dependent conductivity that is  parameterization after Whittington, et al.  2009\n\nThe original parameterization involves quite a few parameters; this is a polynomial fit that is roughly valid from 0-1000 Celsius\n\n    k WmK = -2 10^-9 (T-Ts)^3 + 6 10^-6 (T-Ts)^2 - 00062 (T-Ts) + 4\n\n    Ts = 27315 K\n\nwhere T[K] is the temperature in Kelvin (or the nondimensional equivalent of it).\n\nThe comparison of this parameterisation vs. the original one is: (Image: subet1)\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.TP_Conductivity","text":"TP_Conductivity()\n\nSets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for\n\n    k = left( a_k +  b_k over T + c_k right) (1 + d_k P)\n\nwhere k is the conductivity [WKm], and a_kb_kc_kd_k are parameters that dependent on the temperature T and pressure P:\n\na_k = 1.18Watt/K/m\nb_k = 474Watt/m\nc_k = 77K\nd_k = 0/MPa\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","text":"Set_TP_Conductivity[\"Name of temperature(-pressure) dependent conductivity\"]\n\nThis is a dictionary with pre-defined laws:\n\n\"UpperCrust\"\n\"LowerCrust\"\n\"OceanicCrust\"\n\"Mantle\"\n\nExample\n\njulia> k=Set_TP_Conductivity[\"Mantle\"]\nT/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)\n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#Computational-routines","page":"Conductivity","title":"Computational routines","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"To compute, use this:","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.compute_conductivity\nGeoParams.MaterialParameters.Conductivity.compute_conductivity!","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity","text":"k = compute_conductivity(P, T, s:<AbstractConductivity)\n\nReturns the thermal conductivity k at any temperature T and pressure P using any of the parameterizations implemented.\n\nCurrently available:\n\nConstantConductivity\nT_Conductivity_Whittington\nTP_Conductivity\n\nExample\n\nUsing dimensional units\n\njulia> T  = (250:100:1250)*K;\njulia> cp = T_HeatCapacity_Whittington()\njulia> Cp = ComputeHeatCapacity(0,T,cp)\n\n\n\n\n\ncompute_conductivity!(K::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},Temp::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of conductivity K for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and Temp arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n_________________________________________________________________________________________________________\n\ncompute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity!","text":"compute_conductivity(k_array::AbstractArray{<:AbstractFloat,N},P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, s::ConstantConductivity) where N\n\nIn-place routine to compute constant conductivity\n\n\n\n\n\n","category":"function"}]
+}
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+    var option = $("<option value='#' selected='selected'>" + DOCUMENTER_CURRENT_VERSION + "</option>");
+    version_selector_select.append(option);
+  }
+
+  if (typeof DOC_VERSIONS !== 'undefined') {
+    var existing_versions = version_selector_select.children("option");
+    var existing_versions_texts = existing_versions.map(function(i,x){return x.text});
+    DOC_VERSIONS.forEach(function(each) {
+      var version_url = documenterBaseURL + "/../" + each;
+      var existing_id = $.inArray(each, existing_versions_texts);
+      // if not already in the version selector, add it as a new option,
+      // otherwise update the old option with the URL and enable it
+      if (existing_id == -1) {
+        var option = $("<option value='" + version_url + "'>" + each + "</option>");
+        version_selector_select.append(option);
+      } else {
+        var option = existing_versions[existing_id];
+        option.value = version_url;
+        option.disabled = false;
+      }
+    });
+  }
+
+  // only show the version selector if the selector has been populated
+  if (version_selector_select.children("option").length > 0) {
+    version_selector.toggleClass("visible");
+  }
+})
+
+})
diff --git a/v0.5.4/assets/logo.png b/v0.5.4/assets/logo.png
new file mode 100644
index 000000000..dae9e66cd
Binary files /dev/null and b/v0.5.4/assets/logo.png differ
diff --git a/v0.5.4/assets/logo_avatar.png b/v0.5.4/assets/logo_avatar.png
new file mode 100644
index 000000000..52bca2064
Binary files /dev/null and b/v0.5.4/assets/logo_avatar.png differ
diff --git a/v0.5.4/assets/search.js b/v0.5.4/assets/search.js
new file mode 100644
index 000000000..c133f7410
--- /dev/null
+++ b/v0.5.4/assets/search.js
@@ -0,0 +1,267 @@
+// Generated by Documenter.jl
+requirejs.config({
+  paths: {
+    'lunr': 'https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min',
+    'lodash': 'https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.21/lodash.min',
+    'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min',
+  }
+});
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'lunr', 'lodash'], function($, lunr, _) {
+
+$(document).ready(function() {
+  // parseUri 1.2.2
+  // (c) Steven Levithan <stevenlevithan.com>
+  // MIT License
+  function parseUri (str) {
+    var  o   = parseUri.options,
+      m   = o.parser[o.strictMode ? "strict" : "loose"].exec(str),
+      uri = {},
+      i   = 14;
+
+    while (i--) uri[o.key[i]] = m[i] || "";
+
+    uri[o.q.name] = {};
+    uri[o.key[12]].replace(o.q.parser, function ($0, $1, $2) {
+      if ($1) uri[o.q.name][$1] = $2;
+    });
+
+    return uri;
+  };
+  parseUri.options = {
+    strictMode: false,
+    key: ["source","protocol","authority","userInfo","user","password","host","port","relative","path","directory","file","query","anchor"],
+    q:   {
+      name:   "queryKey",
+      parser: /(?:^|&)([^&=]*)=?([^&]*)/g
+    },
+    parser: {
+      strict: /^(?:([^:\/?#]+):)?(?:\/\/((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?))?((((?:[^?#\/]*\/)*)([^?#]*))(?:\?([^#]*))?(?:#(.*))?)/,
+      loose:  /^(?:(?![^:@]+:[^:@\/]*@)([^:\/?#.]+):)?(?:\/\/)?((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?)(((\/(?:[^?#](?![^?#\/]*\.[^?#\/.]+(?:[?#]|$)))*\/?)?([^?#\/]*))(?:\?([^#]*))?(?:#(.*))?)/
+    }
+  };
+
+  $("#search-form").submit(function(e) {
+    e.preventDefault()
+  })
+
+  // list below is the lunr 2.1.3 list minus the intersect with names(Base)
+  // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with)
+  // ideally we'd just filter the original list but it's not available as a variable
+  lunr.stopWordFilter = lunr.generateStopWordFilter([
+    'a',
+    'able',
+    'about',
+    'across',
+    'after',
+    'almost',
+    'also',
+    'am',
+    'among',
+    'an',
+    'and',
+    'are',
+    'as',
+    'at',
+    'be',
+    'because',
+    'been',
+    'but',
+    'by',
+    'can',
+    'cannot',
+    'could',
+    'dear',
+    'did',
+    'does',
+    'either',
+    'ever',
+    'every',
+    'from',
+    'got',
+    'had',
+    'has',
+    'have',
+    'he',
+    'her',
+    'hers',
+    'him',
+    'his',
+    'how',
+    'however',
+    'i',
+    'if',
+    'into',
+    'it',
+    'its',
+    'just',
+    'least',
+    'like',
+    'likely',
+    'may',
+    'me',
+    'might',
+    'most',
+    'must',
+    'my',
+    'neither',
+    'no',
+    'nor',
+    'not',
+    'of',
+    'off',
+    'often',
+    'on',
+    'or',
+    'other',
+    'our',
+    'own',
+    'rather',
+    'said',
+    'say',
+    'says',
+    'she',
+    'should',
+    'since',
+    'so',
+    'some',
+    'than',
+    'that',
+    'the',
+    'their',
+    'them',
+    'then',
+    'there',
+    'these',
+    'they',
+    'this',
+    'tis',
+    'to',
+    'too',
+    'twas',
+    'us',
+    'wants',
+    'was',
+    'we',
+    'were',
+    'what',
+    'when',
+    'who',
+    'whom',
+    'why',
+    'will',
+    'would',
+    'yet',
+    'you',
+    'your'
+  ])
+
+  // add . as a separator, because otherwise "title": "Documenter.Anchors.add!"
+  // would not find anything if searching for "add!", only for the entire qualification
+  lunr.tokenizer.separator = /[\s\-\.]+/
+
+  // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names
+  lunr.trimmer = function (token) {
+    return token.update(function (s) {
+      return s.replace(/^[^a-zA-Z0-9@!]+/, '').replace(/[^a-zA-Z0-9@!]+$/, '')
+    })
+  }
+
+  lunr.Pipeline.registerFunction(lunr.stopWordFilter, 'juliaStopWordFilter')
+  lunr.Pipeline.registerFunction(lunr.trimmer, 'juliaTrimmer')
+
+  var index = lunr(function () {
+    this.ref('location')
+    this.field('title',{boost: 100})
+    this.field('text')
+    documenterSearchIndex['docs'].forEach(function(e) {
+        this.add(e)
+    }, this)
+  })
+  var store = {}
+
+  documenterSearchIndex['docs'].forEach(function(e) {
+      store[e.location] = {title: e.title, category: e.category, page: e.page}
+  })
+
+  $(function(){
+    searchresults = $('#documenter-search-results');
+    searchinfo = $('#documenter-search-info');
+    searchbox = $('#documenter-search-query');
+    searchform = $('.docs-search');
+    sidebar = $('.docs-sidebar');
+    function update_search(querystring) {
+      tokens = lunr.tokenizer(querystring)
+      results = index.query(function (q) {
+        tokens.forEach(function (t) {
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 100,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 10,
+            usePipeline: true,
+            editDistance: 2,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["text"],
+            boost: 1,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+        })
+      })
+      searchinfo.text("Number of results: " + results.length)
+      searchresults.empty()
+      results.forEach(function(result) {
+        data = store[result.ref]
+        link = $('<a class="docs-label">'+data.title+'</a>')
+        link.attr('href', documenterBaseURL+'/'+result.ref)
+        if (data.category != "page"){
+          cat = $('<span class="docs-category">('+data.category+', '+data.page+')</span>')
+        } else {
+          cat = $('<span class="docs-category">('+data.category+')</span>')
+        }
+        li = $('<li>').append(link).append(" ").append(cat)
+        searchresults.append(li)
+      })
+    }
+
+    function update_search_box() {
+      querystring = searchbox.val()
+      update_search(querystring)
+    }
+
+    searchbox.keyup(_.debounce(update_search_box, 250))
+    searchbox.change(update_search_box)
+
+    // Disable enter-key form submission for the searchbox on the search page
+    // and just re-run search rather than refresh the whole page.
+    searchform.keypress(
+      function(event){
+        if (event.which == '13') {
+          if (sidebar.hasClass('visible')) {
+            sidebar.removeClass('visible');
+          }
+          update_search_box();
+          event.preventDefault();
+        }
+      }
+    );
+
+    search_query_uri = parseUri(window.location).queryKey["q"]
+    if(search_query_uri !== undefined) {
+      search_query = decodeURIComponent(search_query_uri.replace(/\+/g, '%20'))
+      searchbox.val(search_query)
+    }
+    update_search_box();
+  })
+})
+
+})
diff --git a/v0.5.4/assets/themes/documenter-dark.css b/v0.5.4/assets/themes/documenter-dark.css
new file mode 100644
index 000000000..c94a294dc
--- /dev/null
+++ b/v0.5.4/assets/themes/documenter-dark.css
@@ -0,0 +1,7 @@
+@keyframes spinAround{from{transform:rotate(0deg)}to{transform:rotate(359deg)}}html.theme--documenter-dark .tabs,html.theme--documenter-dark .pagination-previous,html.theme--documenter-dark .pagination-next,html.theme--documenter-dark .pagination-link,html.theme--documenter-dark .pagination-ellipsis,html.theme--documenter-dark .breadcrumb,html.theme--documenter-dark .file,html.theme--documenter-dark .button,.is-unselectable,html.theme--documenter-dark .modal-close,html.theme--documenter-dark .delete{-webkit-touch-callout:none;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none}html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after,html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after{border:3px solid rgba(0,0,0,0);border-radius:2px;border-right:0;border-top:0;content:" ";display:block;height:0.625em;margin-top:-0.4375em;pointer-events:none;position:absolute;top:50%;transform:rotate(-45deg);transform-origin:center;width:0.625em}html.theme--documenter-dark .admonition:not(:last-child),html.theme--documenter-dark .tabs:not(:last-child),html.theme--documenter-dark .message:not(:last-child),html.theme--documenter-dark .list:not(:last-child),html.theme--documenter-dark .level:not(:last-child),html.theme--documenter-dark .breadcrumb:not(:last-child),html.theme--documenter-dark .highlight:not(:last-child),html.theme--documenter-dark .block:not(:last-child),html.theme--documenter-dark .title:not(:last-child),html.theme--documenter-dark .subtitle:not(:last-child),html.theme--documenter-dark .table-container:not(:last-child),html.theme--documenter-dark .table:not(:last-child),html.theme--documenter-dark .progress:not(:last-child),html.theme--documenter-dark .notification:not(:last-child),html.theme--documenter-dark .content:not(:last-child),html.theme--documenter-dark .box:not(:last-child){margin-bottom:1.5rem}html.theme--documenter-dark .modal-close,html.theme--documenter-dark .delete{-moz-appearance:none;-webkit-appearance:none;background-color:rgba(10,10,10,0.2);border:none;border-radius:290486px;cursor:pointer;pointer-events:auto;display:inline-block;flex-grow:0;flex-shrink:0;font-size:0;height:20px;max-height:20px;max-width:20px;min-height:20px;min-width:20px;outline:none;position:relative;vertical-align:top;width:20px}html.theme--documenter-dark .modal-close::before,html.theme--documenter-dark .delete::before,html.theme--documenter-dark .modal-close::after,html.theme--documenter-dark .delete::after{background-color:#fff;content:"";display:block;left:50%;position:absolute;top:50%;transform:translateX(-50%) translateY(-50%) rotate(45deg);transform-origin:center center}html.theme--documenter-dark .modal-close::before,html.theme--documenter-dark .delete::before{height:2px;width:50%}html.theme--documenter-dark .modal-close::after,html.theme--documenter-dark .delete::after{height:50%;width:2px}html.theme--documenter-dark .modal-close:hover,html.theme--documenter-dark .delete:hover,html.theme--documenter-dark .modal-close:focus,html.theme--documenter-dark .delete:focus{background-color:rgba(10,10,10,0.3)}html.theme--documenter-dark .modal-close:active,html.theme--documenter-dark .delete:active{background-color:rgba(10,10,10,0.4)}html.theme--documenter-dark .is-small.modal-close,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.modal-close,html.theme--documenter-dark .is-small.delete,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.delete{height:16px;max-height:16px;max-width:16px;min-height:16px;min-width:16px;width:16px}html.theme--documenter-dark .is-medium.modal-close,html.theme--documenter-dark .is-medium.delete{height:24px;max-height:24px;max-width:24px;min-height:24px;min-width:24px;width:24px}html.theme--documenter-dark .is-large.modal-close,html.theme--documenter-dark .is-large.delete{height:32px;max-height:32px;max-width:32px;min-height:32px;min-width:32px;width:32px}html.theme--documenter-dark .control.is-loading::after,html.theme--documenter-dark .select.is-loading::after,html.theme--documenter-dark .loader,html.theme--documenter-dark .button.is-loading::after{animation:spinAround 500ms infinite linear;border:2px solid #dbdee0;border-radius:290486px;border-right-color:transparent;border-top-color:transparent;content:"";display:block;height:1em;position:relative;width:1em}html.theme--documenter-dark .hero-video,html.theme--documenter-dark .modal-background,html.theme--documenter-dark .modal,html.theme--documenter-dark .image.is-square img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--documenter-dark .image.is-square .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--documenter-dark .image.is-1by1 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--documenter-dark .image.is-1by1 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--documenter-dark .image.is-5by4 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by4 img,html.theme--documenter-dark .image.is-5by4 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by4 .has-ratio,html.theme--documenter-dark .image.is-4by3 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by3 img,html.theme--documenter-dark .image.is-4by3 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by3 .has-ratio,html.theme--documenter-dark .image.is-3by2 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by2 img,html.theme--documenter-dark .image.is-3by2 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by2 .has-ratio,html.theme--documenter-dark .image.is-5by3 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--documenter-dark .image.is-5by3 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--documenter-dark .image.is-16by9 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--documenter-dark .image.is-16by9 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--documenter-dark .image.is-2by1 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--documenter-dark .image.is-2by1 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--documenter-dark .image.is-3by1 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--documenter-dark .image.is-3by1 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by1 .has-ratio,html.theme--documenter-dark .image.is-4by5 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by5 img,html.theme--documenter-dark .image.is-4by5 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by5 .has-ratio,html.theme--documenter-dark .image.is-3by4 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by4 img,html.theme--documenter-dark .image.is-3by4 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by4 .has-ratio,html.theme--documenter-dark .image.is-2by3 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by3 img,html.theme--documenter-dark .image.is-2by3 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by3 .has-ratio,html.theme--documenter-dark .image.is-3by5 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by5 img,html.theme--documenter-dark .image.is-3by5 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by5 .has-ratio,html.theme--documenter-dark .image.is-9by16 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-9by16 img,html.theme--documenter-dark .image.is-9by16 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-9by16 .has-ratio,html.theme--documenter-dark .image.is-1by2 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by2 img,html.theme--documenter-dark .image.is-1by2 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by2 .has-ratio,html.theme--documenter-dark .image.is-1by3 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by3 img,html.theme--documenter-dark .image.is-1by3 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by3 .has-ratio,.is-overlay{bottom:0;left:0;position:absolute;right:0;top:0}html.theme--documenter-dark .pagination-previous,html.theme--documenter-dark .pagination-next,html.theme--documenter-dark .pagination-link,html.theme--documenter-dark .pagination-ellipsis,html.theme--documenter-dark .file-cta,html.theme--documenter-dark .file-name,html.theme--documenter-dark .select select,html.theme--documenter-dark .textarea,html.theme--documenter-dark .input,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input,html.theme--documenter-dark .button{-moz-appearance:none;-webkit-appearance:none;align-items:center;border:1px solid transparent;border-radius:.4em;box-shadow:none;display:inline-flex;font-size:15px;height:2.25em;justify-content:flex-start;line-height:1.5;padding-bottom:calc(0.375em - 1px);padding-left:calc(0.625em - 1px);padding-right:calc(0.625em - 1px);padding-top:calc(0.375em - 1px);position:relative;vertical-align:top}html.theme--documenter-dark .pagination-previous:focus,html.theme--documenter-dark .pagination-next:focus,html.theme--documenter-dark .pagination-link:focus,html.theme--documenter-dark .pagination-ellipsis:focus,html.theme--documenter-dark .file-cta:focus,html.theme--documenter-dark .file-name:focus,html.theme--documenter-dark .select select:focus,html.theme--documenter-dark .textarea:focus,html.theme--documenter-dark .input:focus,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input:focus,html.theme--documenter-dark .button:focus,html.theme--documenter-dark .is-focused.pagination-previous,html.theme--documenter-dark .is-focused.pagination-next,html.theme--documenter-dark .is-focused.pagination-link,html.theme--documenter-dark .is-focused.pagination-ellipsis,html.theme--documenter-dark 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html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#ecf0f1;color:#ecf0f1}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--documenter-dark .content 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.button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-outlined{background-color:transparent;border-color:#9e1b0d;box-shadow:none;color:#9e1b0d}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#9e1b0d}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #9e1b0d #9e1b0d !important}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{border-radius:3px;font-size:.85em}html.theme--documenter-dark .button.is-normal{font-size:15px}html.theme--documenter-dark .button.is-medium{font-size:1.25rem}html.theme--documenter-dark .button.is-large{font-size:1.5rem}html.theme--documenter-dark .button[disabled],fieldset[disabled] html.theme--documenter-dark .button{background-color:#8c9b9d;border-color:#dbdee0;box-shadow:none;opacity:.5}html.theme--documenter-dark .button.is-fullwidth{display:flex;width:100%}html.theme--documenter-dark .button.is-loading{color:transparent !important;pointer-events:none}html.theme--documenter-dark .button.is-loading::after{position:absolute;left:calc(50% - (1em / 2));top:calc(50% - (1em / 2));position:absolute !important}html.theme--documenter-dark .button.is-static{background-color:#282f2f;border-color:#5e6d6f;color:#dbdee0;box-shadow:none;pointer-events:none}html.theme--documenter-dark .button.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{border-radius:290486px;padding-left:1em;padding-right:1em}html.theme--documenter-dark .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--documenter-dark .buttons .button{margin-bottom:0.5rem}html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:0.5rem}html.theme--documenter-dark .buttons:last-child{margin-bottom:-0.5rem}html.theme--documenter-dark .buttons:not(:last-child){margin-bottom:1rem}html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){border-radius:3px;font-size:.85em}html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--documenter-dark .buttons.has-addons 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h3,html.theme--documenter-dark .content h4,html.theme--documenter-dark .content h5,html.theme--documenter-dark .content h6{color:#f2f2f2;font-weight:600;line-height:1.125}html.theme--documenter-dark .content h1{font-size:2em;margin-bottom:0.5em}html.theme--documenter-dark .content h1:not(:first-child){margin-top:1em}html.theme--documenter-dark .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--documenter-dark .content h2:not(:first-child){margin-top:1.1428em}html.theme--documenter-dark .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--documenter-dark .content h3:not(:first-child){margin-top:1.3333em}html.theme--documenter-dark .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--documenter-dark .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--documenter-dark .content h6{font-size:1em;margin-bottom:1em}html.theme--documenter-dark .content blockquote{background-color:#282f2f;border-left:5px solid #5e6d6f;padding:1.25em 1.5em}html.theme--documenter-dark .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ol:not([type]){list-style-type:decimal}html.theme--documenter-dark .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--documenter-dark .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--documenter-dark .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--documenter-dark .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--documenter-dark .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--documenter-dark .content ul ul ul{list-style-type:square}html.theme--documenter-dark .content dd{margin-left:2em}html.theme--documenter-dark .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--documenter-dark .content figure:not(:first-child){margin-top:2em}html.theme--documenter-dark .content figure:not(:last-child){margin-bottom:2em}html.theme--documenter-dark .content figure img{display:inline-block}html.theme--documenter-dark .content figure figcaption{font-style:italic}html.theme--documenter-dark .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--documenter-dark .content sup,html.theme--documenter-dark .content sub{font-size:75%}html.theme--documenter-dark .content table{width:100%}html.theme--documenter-dark .content table td,html.theme--documenter-dark .content table th{border:1px solid #5e6d6f;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--documenter-dark .content table th{color:#f2f2f2}html.theme--documenter-dark .content table th:not([align]){text-align:left}html.theme--documenter-dark .content table thead td,html.theme--documenter-dark .content table thead th{border-width:0 0 2px;color:#f2f2f2}html.theme--documenter-dark .content table tfoot td,html.theme--documenter-dark .content table tfoot th{border-width:2px 0 0;color:#f2f2f2}html.theme--documenter-dark .content table tbody tr:last-child td,html.theme--documenter-dark .content table tbody tr:last-child th{border-bottom-width:0}html.theme--documenter-dark .content .tabs li+li{margin-top:0}html.theme--documenter-dark .content.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.content{font-size:.85em}html.theme--documenter-dark .content.is-medium{font-size:1.25rem}html.theme--documenter-dark .content.is-large{font-size:1.5rem}html.theme--documenter-dark .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--documenter-dark .icon.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--documenter-dark .icon.is-medium{height:2rem;width:2rem}html.theme--documenter-dark .icon.is-large{height:3rem;width:3rem}html.theme--documenter-dark .image,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--documenter-dark .image img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--documenter-dark .image img.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:290486px}html.theme--documenter-dark .image.is-square img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--documenter-dark .image.is-square .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--documenter-dark .image.is-1by1 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--documenter-dark .image.is-1by1 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and (min-width: 1056px){html.theme--documenter-dark #documenter .docs-main{max-width:52rem;margin-left:20rem;padding-right:1rem}}@media screen and (max-width: 1055px){html.theme--documenter-dark #documenter .docs-main{width:100%}html.theme--documenter-dark #documenter .docs-main>article{max-width:52rem;margin-left:auto;margin-right:auto;margin-bottom:1rem;padding:0 1rem}html.theme--documenter-dark #documenter .docs-main>header,html.theme--documenter-dark #documenter .docs-main>nav{max-width:100%;width:100%;margin:0}}html.theme--documenter-dark #documenter .docs-main header.docs-navbar{background-color:#1f2424;border-bottom:1px solid #5e6d6f;z-index:2;min-height:4rem;margin-bottom:1rem;display:flex}html.theme--documenter-dark #documenter .docs-main header.docs-navbar .breadcrumb{flex-grow:1}html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right{display:flex;white-space:nowrap}html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right 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span.sgr105{background-color:#d2a4e6}html.theme--documenter-dark .ansi span.sgr106{background-color:#6bc8db}html.theme--documenter-dark .ansi span.sgr107{background-color:#ecf0f1}html.theme--documenter-dark code.language-julia-repl>span.hljs-meta{color:#4fb43a;font-weight:bolder}html.theme--documenter-dark .hljs{background:#2b2b2b;color:#f8f8f2}html.theme--documenter-dark .hljs-comment,html.theme--documenter-dark .hljs-quote{color:#d4d0ab}html.theme--documenter-dark .hljs-variable,html.theme--documenter-dark .hljs-template-variable,html.theme--documenter-dark .hljs-tag,html.theme--documenter-dark .hljs-name,html.theme--documenter-dark .hljs-selector-id,html.theme--documenter-dark .hljs-selector-class,html.theme--documenter-dark .hljs-regexp,html.theme--documenter-dark .hljs-deletion{color:#ffa07a}html.theme--documenter-dark .hljs-number,html.theme--documenter-dark .hljs-built_in,html.theme--documenter-dark .hljs-literal,html.theme--documenter-dark .hljs-type,html.theme--documenter-dark 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diff --git a/v0.5.4/assets/themes/documenter-light.css b/v0.5.4/assets/themes/documenter-light.css
new file mode 100644
index 000000000..9b9a14b04
--- /dev/null
+++ b/v0.5.4/assets/themes/documenter-light.css
@@ -0,0 +1,9 @@
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diff --git a/v0.5.4/index.html b/v0.5.4/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Home · GeoParams.jl</title><script data-outdated-warner src="assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="assets/documenter.js"></script><script src="siteinfo.js"></script><script src="../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href><img src="assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href>GeoParams.jl</a></span></div><form class="docs-search" action="search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li class="is-active"><a class="tocitem" href>Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="man/geounit/">GeoUnit</a></li><li><a class="tocitem" href="man/nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="man/materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="man/density/">Density</a></li><li><a class="tocitem" href="man/creeplaws/">Creep laws</a></li><li><a class="tocitem" href="man/customrheology/">Custom rheology</a></li><li><a class="tocitem" href="man/viscosity/">Viscosity</a></li><li><a class="tocitem" href="man/elasticity/">Elasticity</a></li><li><a class="tocitem" href="man/plasticity/">Plasticity</a></li><li><a class="tocitem" href="man/heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="man/conductivity/">Conductivity</a></li><li><a class="tocitem" href="man/latentheat/">Latent heat</a></li><li><a class="tocitem" href="man/radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="man/shearheating/">Shear heating</a></li><li><a class="tocitem" href="man/gravity/">Gravity</a></li><li><a class="tocitem" href="man/melting/">Partial Melting</a></li><li><a class="tocitem" href="man/TASclassification/">TAS classification</a></li><li><a class="tocitem" href="man/zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="man/phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="man/seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="man/strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="man/plotting/">Plotting</a></li><li><a class="tocitem" href="man/listfunctions/">List of functions</a></li><li><a class="tocitem" href="man/contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Home</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Home</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/index.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="GeoParams.jl"><a class="docs-heading-anchor" href="#GeoParams.jl">GeoParams.jl</a><a id="GeoParams.jl-1"></a><a class="docs-heading-anchor-permalink" href="#GeoParams.jl" title="Permalink"></a></h1><p>Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:</p><ul><li>Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).</li><li>Material parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. </li></ul><p>We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="man/geounit/">GeoUnit »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 24 January 2024 13:04">Wednesday 24 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.4/man/TASclassification/index.html b/v0.5.4/man/TASclassification/index.html
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+++ b/v0.5.4/man/TASclassification/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>TAS classification · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li class="is-active"><a class="tocitem" href>TAS classification</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routine"><span>Computational routine</span></a></li></ul></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>TAS classification</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>TAS classification</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/TASclassification.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="TAS-rock-classification"><a class="docs-heading-anchor" href="#TAS-rock-classification">TAS rock classification</a><a id="TAS-rock-classification-1"></a><a class="docs-heading-anchor-permalink" href="#TAS-rock-classification" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>When doing coupled petrological-geodynamic modelling, the evolution of the composition of the magma is more easily understood when a rock type is given. This routine is an implementation of the TAS diagram (Total Alkali (TA) vs Silica (S)) from Le Maitre et al., 2002.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.TASclassificationData" href="#GeoParams.TASclassification.TASclassificationData"><code>GeoParams.TASclassification.TASclassificationData</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">TASclassificationData
+
+Struct that holds default parameters for the TAS diagram</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/RockClassification/TASclassification.jl#L47-L51">source</a></section></article><h1 id="Computational-routine"><a class="docs-heading-anchor" href="#Computational-routine">Computational routine</a><a id="Computational-routine-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routine" title="Permalink"></a></h1><p>There is one routine with which you can retrieve the index of the TAS rock-type. The routine receives as an input a compositional vector [SiO2,Na2O+K2O] in wt% and sends back an index [1-15].</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.computeTASclassification" href="#GeoParams.TASclassification.computeTASclassification"><code>GeoParams.TASclassification.computeTASclassification</code></a> — <span class="docstring-category">Function</span></header><section><div><p>classIndex computeTASclassification(chemComp::AbstractArray{_T,N}, ClassTASdata::TASclassificationData)</p><p>This compute the classification of the igneous rock using TAS diagram (Total Alkali (TA) vs Silica (S)).</p><p><strong>Input:</strong></p><ul><li><code>chemComp</code> : vector rock composition in oxide wt%</li></ul><p>Output:</p><ul><li><code>classIndex</code> : an integer [0-14] corresponding to a TAS field (TASclassificationData.litho[classIndex])</li></ul><p>This routine was developed based the TAS classification of Le Maitre et al., 2002</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/RockClassification/TASclassification.jl#L113-L127">source</a></section></article><p>Using the index of the rock-type you can get the name of the corresponding volcanic rock using the following routine.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.retrieveTASrockType" href="#GeoParams.TASclassification.retrieveTASrockType"><code>GeoParams.TASclassification.retrieveTASrockType</code></a> — <span class="docstring-category">Function</span></header><section><div><p>retrieveTASrockType(index::Int64; ClassTASdata::TASclassificationData = TASclassificationData())</p><p>This retrieves the name of the volcanic rock-type using the computed index</p><p><strong>Input:</strong></p><ul><li><code>index</code> : integer [1-15]</li></ul><p>Output:</p><ul><li><code>litho</code> : a string of the name of corresponding volcanic rock</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/RockClassification/TASclassification.jl#L93-L105">source</a></section></article><p>We also provide a plotting routine, provided the GLMakie.jl package is loaded, which produces figures such as: <img src="../assets/img/TAS_diagram.png" alt="subet3"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../melting/">« Partial Melting</a><a class="docs-footer-nextpage" href="../zirconages/">Zircon Ages »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 24 January 2024 13:04">Wednesday 24 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Conductivity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Conductivity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Conductivity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/conductivity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Conductivity"><a class="docs-heading-anchor" href="#Conductivity">Conductivity</a><a id="Conductivity-1"></a><a class="docs-heading-anchor-permalink" href="#Conductivity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Thermal conductivity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.ConstantConductivity" href="#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantConductivity(k=3.0W/m/K)</code></pre><p>Set a constant conductivity</p><p class="math-container">\[    k  = cst\]</p><p>where <span>$k$</span> is the thermal conductivity [<span>$W/m/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Energy/Conductivity.jl#L29-L37">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington" href="#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Conductivity_Whittington()</code></pre><p>Sets a temperature-dependent conductivity following the parameterization of <em>Whittington, A.G., Hofmeister, A.M., Nabelek, P.I., 2009. Temperature-dependent thermal diffusivity of the Earth’s crust and implications for magmatism. Nature 458, 319–321. https://doi.org/10.1038/nature07818.</em> Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us to compute</p><p class="math-container">\[    Cp = a + b T - c/T^2\]</p><p class="math-container">\[    \kappa = d/T - e \textrm{ if } T&lt;=846K\]</p><p class="math-container">\[    \kappa = f - g*T \textrm{ if } T&gt;846K\]</p><p class="math-container">\[    \rho = 2700 kg/m^3\]</p><p class="math-container">\[    k = \kappa \rho Cp\]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/mol/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <code>T</code>:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>d = 576.3m^2/s*K</li><li>e = 0.062m^2/s</li><li>f = 0.732m^2/s</li><li>g = 0.000135m^2/s/K</li></ul><p>This looks like:</p><p><img src="../assets/img/Conductivity_Whittington.png" alt="subet1"/></p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; using GLMakie, GeoParams
+julia&gt; p=T_Conductivity_Whittington();
+julia&gt; T,k,plt = PlotConductivity(p)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Energy/Conductivity.jl#L80-L126">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised" href="#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Conductivity_Whittington_parameterised()</code></pre><p>Sets a temperature-dependent conductivity that is  parameterization after <em>Whittington, et al.  2009</em></p><p>The original parameterization involves quite a few parameters; this is a polynomial fit that is roughly valid from 0-1000 Celsius</p><p class="math-container">\[    k [W/m/K] = -2 10^{-9} (T-Ts)^3 + 6 10^{-6} (T-Ts)^2 - 0.0062 (T-Ts) + 4\]</p><p class="math-container">\[    Ts = 273.15 K\]</p><p>where <code>T[K]</code> is the temperature in Kelvin (or the nondimensional equivalent of it).</p><p>The comparison of this parameterisation vs. the original one is: <img src="../assets/img/Conductivity_Whittington_smooth.png" alt="subet1"/></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Energy/Conductivity.jl#L217-L235">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">TP_Conductivity()</code></pre><p>Sets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for</p><p class="math-container">\[    k = \left( a_k +  {b_k \over {T + c_k}} \right) (1 + d_k P)\]</p><p>where <span>$k$</span> is the conductivity [<span>$W/K/m$</span>], and <span>$a_k,b_k,c_k,d_k$</span> are parameters that dependent on the temperature <code>T</code> and pressure <code>P</code>:</p><ul><li><span>$a_k$</span> = 1.18Watt/K/m</li><li><span>$b_k$</span> = 474Watt/m</li><li><span>$c_k$</span> = 77K</li><li><span>$d_k$</span> = 0/MPa</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Energy/Conductivity.jl#L312-L327">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">Set_TP_Conductivity[&quot;Name of temperature(-pressure) dependent conductivity&quot;]</code></pre><p>This is a dictionary with pre-defined laws:</p><ul><li>&quot;UpperCrust&quot;</li><li>&quot;LowerCrust&quot;</li><li>&quot;OceanicCrust&quot;</li><li>&quot;Mantle&quot;</li></ul><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; k=Set_TP_Conductivity[&quot;Mantle&quot;]
+T/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Energy/Conductivity.jl#L350-L365">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">k = compute_conductivity(P, T, s:&lt;AbstractConductivity)</code></pre><p>Returns the thermal conductivity <code>k</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the parameterizations implemented.</p><p>Currently available:</p><ul><li>ConstantConductivity</li><li>T_Conductivity_Whittington</li><li>TP_Conductivity</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia hljs">julia&gt; T  = (250:100:1250)*K;
+julia&gt; cp = T_HeatCapacity_Whittington()
+julia&gt; Cp = ComputeHeatCapacity(0,T,cp)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Energy/Conductivity.jl#L497-L516">source</a></section><section><div><pre><code class="nohighlight hljs">compute_conductivity!(K::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},Temp::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of conductivity <code>K</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>Temp</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p>_________________________________________________________________________________________________________</p><p>compute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</p><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Energy/Conductivity.jl#L538-L550">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity!" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_conductivity(k_array::AbstractArray{&lt;:AbstractFloat,N},P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, s::ConstantConductivity) where N</code></pre><p>In-place routine to compute constant conductivity</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Energy/Conductivity.jl#L64-L68">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../heatcapacity/">« Heat Capacity</a><a class="docs-footer-nextpage" href="../latentheat/">Latent heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 24 January 2024 13:04">Wednesday 24 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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Guide</span></a></li></ul></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Contributing</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Contributing</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/contributing.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button 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If you invest a bit of time now, it will save others in the community a lot of time! The simplest way to do this is by cloning the repository, and creating a new branch for your feature. Once you are happy with what you added (and after you added a test to ensure that it will keep working with future changes), create a pull request and we will evaluate &amp; merge it.</p><h2 id="Style-Guide"><a class="docs-heading-anchor" href="#Style-Guide">Style Guide</a><a id="Style-Guide-1"></a><a class="docs-heading-anchor-permalink" href="#Style-Guide" title="Permalink"></a></h2><p>Follow the style of the surrounding text when making changes. When adding new features please try to stick to the following points whenever applicable.</p><h3 id="Julia"><a class="docs-heading-anchor" href="#Julia">Julia</a><a id="Julia-1"></a><a class="docs-heading-anchor-permalink" href="#Julia" title="Permalink"></a></h3><ul><li>4-space indentation;</li><li>modules spanning entire files should not be indented, but modules that have surrounding code should;</li><li>no blank lines at the start or end of files;</li><li>do not manually align syntax such as <code>=</code> or <code>::</code> over adjacent lines;</li><li>use <code>function ... end</code> when a method definition contains more than one toplevel expression;</li><li>related short-form method definitions don&#39;t need a new line between them;</li><li>unrelated or long-form method definitions must have a blank line separating each one;</li><li>surround all binary operators with whitespace except for <code>::</code>, <code>^</code>, and <code>:</code>;</li><li>files containing a single <code>module ... end</code> must be named after the module;</li><li>method arguments should be ordered based on the amount of usage within the method body;</li><li>methods extended from other modules must follow their inherited argument order, not the above rule;</li><li>explicit <code>return</code> should be preferred except in short-form method definitions;</li><li>avoid dense expressions where possible e.g. prefer nested <code>if</code>s over complex nested <code>?</code>s;</li><li>include a trailing <code>,</code> in vectors, tuples, or method calls that span several lines;</li><li>do not use multiline comments (<code>#=</code> and <code>=#</code>);</li><li>wrap long lines as near to 92 characters as possible, this includes docstrings;</li><li>follow the standard naming conventions used in <code>Base</code>.</li></ul><h3 id="Markdown"><a class="docs-heading-anchor" href="#Markdown">Markdown</a><a id="Markdown-1"></a><a class="docs-heading-anchor-permalink" href="#Markdown" title="Permalink"></a></h3><ul><li>Use unbalanced <code>#</code> headers, i.e. no <code>#</code> on the right hand side of the header text;</li><li>include a single blank line between toplevel blocks;</li><li>unordered lists must use <code>*</code> bullets with two preceding spaces;</li><li>do <em>not</em> hard wrap lines;</li><li>use emphasis (<code>*</code>) and bold (<code>**</code>) sparingly;</li><li>always use fenced code blocks instead of indented blocks;</li><li>follow the conventions outlined in the Julia documentation page on documentation.</li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../listfunctions/">« List of functions</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 24 January 2024 13:04">Wednesday 24 January 2024</span>. 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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Creep laws · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li class="is-active"><a class="tocitem" href>Creep laws</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Implemented-creep-laws"><span>Implemented creep laws</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-for-creep-laws"><span>Computational routines for creep laws</span></a></li></ul></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Creep laws</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Creep laws</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/creeplaws.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="CreepLaws"><a class="docs-heading-anchor" href="#CreepLaws">CreepLaws</a><a id="CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#CreepLaws" title="Permalink"></a></h1><h1 id="Implemented-creep-laws"><a class="docs-heading-anchor" href="#Implemented-creep-laws">Implemented creep laws</a><a id="Implemented-creep-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-creep-laws" title="Permalink"></a></h1><p>The following viscous creep laws are implemented:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">LinearViscous(η=1e20Pa*s)</code></pre><p>Defines a linear viscous creeplaw </p><p>The (isotopic) linear viscous rheology is given by  </p><p class="math-container">\[    \tau_{ij} = 2 \eta \dot{\varepsilon}_{ij} \]</p><p>or</p><p class="math-container">\[    \dot{\varepsilon}_{ij}  = {\tau_{ij}  \over 2 \eta }\]</p><p>where <span>$\eta_0$</span> is the reference viscosity [Pa*s] at reference strain rate <span>$\dot{\varepsilon}_0$</span>[1/s], and <span>$n$</span> the power law exponent []. </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/CreepLaw/CreepLaw.jl#L79-L94">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)</code></pre><p>Defines a power law viscous creeplaw as: </p><p class="math-container">\[    \tau_{ij}^n  = 2 \eta_0 \left( \dot{\varepsilon}_{ij} \over \dot{\varepsilon}_0 \right)\]</p><p>where <span>$\eta$</span> is the effective viscosity [Pa*s].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/CreepLaw/CreepLaw.jl#L291-L300">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DislocationCreep(n = 1.0NoUnits, r = 0.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )</code></pre><p>Defines the flow law parameter of a dislocation creep law.</p><p>The (isotropic) dislocation creep law, as used by experimentalists, is given by  </p><p class="math-container">\[     \dot{\gamma} = A \sigma_\mathrm{d}^n f_\mathrm{H2O}^r \exp\left(-\frac{E+PV}{RT}\right)\]</p><p>where </p><ul><li><span>$n$</span> is the power law exponent  </li><li><span>$r$</span> is the exponent of fugacity dependence </li><li><span>$A$</span> is a pre-exponential factor <span>$[\mathrm{MPa}^{-n}s^{-1}]$</span> (if manually defined, <span>$n$</span> and <span>$r$</span> must be either pre-defined or substituted) </li><li><span>$E$</span> is the activation energy <span>$\mathrm{[kJ/mol]}$</span> </li><li><span>$V$</span> is the activation volume <span>$\mathrm{[m^3/mol]}$</span> </li><li><span>$\dot{\gamma}$</span> is the strain rate <span>$\mathrm{[1/s]}$</span> </li><li><span>$\sigma_\mathrm{d}$</span> is the differential stress <span>$\mathrm{[MPa]}$</span> which are converted into second invariants using the <code>Apparatus</code> variable that can be</li></ul><p>either <code>AxialCompression</code>, <code>SimpleShear</code> or <code>Invariant</code>. If the flow law parameters are already given as a function of second invariants, choose <code>Apparatus=Invariant</code>.</p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; x2 = DislocationCreep(n=3)
+DislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/CreepLaw/DislocationCreep.jl#L19-L43">source</a></section></article><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.SetDislocationCreep</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DiffusionCreep(r = 0NoUnits, p = A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )</code></pre><p>Defines the flow law parameter of a dislocation creep law.</p><p>The (isotropic) diffusion creep law, as used by experimentalists, is given by  </p><p class="math-container">\[     \dot{\gamma} = A \sigma_\mathrm{d} d^{\mathrm{p}} f_\mathrm{H2O}^r \exp\left(-\frac{E+PV}{RT}\right)\]</p><p>where </p><ul><li><span>$r$</span> is the exponent of fugacity dependence </li><li><span>$p$</span> is the exponent of grain size</li><li><span>$A$</span> is a pre-exponential factor <span>$[\mathrm{MPa}^{-n}s^{-1}]$</span> (if manually defined, <span>$n$</span> and <span>$r$</span> must be either pre-defined or substituted) </li><li><span>$E$</span> is the activation energy <span>$\mathrm{[kJ/mol]}$</span> </li><li><span>$V$</span> is the activation volume <span>$\mathrm{[m^3/mol]}$</span> </li><li><span>$\dot{\gamma}$</span> is the strain rate <span>$\mathrm{[1/s]}$</span> </li><li><span>$\sigma_\mathrm{d}$</span> is the differential stress <span>$\mathrm{[MPa]}$</span></li></ul><p>The experimental parameters are converted into second invariants using the <code>Apparatus</code> variable that can be either <code>AxialCompression</code>, <code>SimpleShear</code> or <code>Invariant</code>. If the flow law parameters are already given as a function of second invariants, choose <code>Apparatus=Invariant</code>.</p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; x2 = DiffusionCreep(Name=&quot;test&quot;)
+DiffusionCreep: Name = test, n=1.0, r=0.0, p=-3.0, A=1.5 m³·⁰ MPa⁻¹·⁰ s⁻¹·⁰, E=500.0 kJ mol⁻¹·⁰, V=2.4e-5 m³·⁰ mol⁻¹·⁰, FT=1.7320508075688772, FE=1.1547005383792517)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/CreepLaw/DiffusionCreep.jl#L23-L49">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetDiffusionCreep[&quot;Name of Diffusion Creep&quot;]</code></pre><p>This is a dictionary with pre-defined creep laws    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/CreepLaw/DiffusionCreep.jl#L338-L341">source</a></section></article><h1 id="Computational-routines-for-creep-laws"><a class="docs-heading-anchor" href="#Computational-routines-for-creep-laws">Computational routines for creep laws</a><a id="Computational-routines-for-creep-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines-for-creep-laws" title="Permalink"></a></h1><p>Once a creep rheology is defined, we can use the following routines to perform computations within the solvers</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>CreepLawVariables</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_εII(a::DiffusionCreep, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)</code></pre><p>Returns diffusion creep strainrate as a function of 2nd invariant of the stress tensor <span>$\tau_{II}$</span> </p><p class="math-container">\[    \dot{ε}_{II} = A τ_{II}^n d^{p} f_{H_2O}^r \exp \left(- {{E + PV} \over RT} \right)\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/CreepLaw/DiffusionCreep.jl#L135-L144">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(a::GrainBoundarySliding, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)</code></pre><p>Returns grain boundary sliding strainrate as a function of 2nd invariant of the stress tensor <span>$\tau_{II}$</span> </p><p class="math-container">\[    \dot{ε}_{II} = A τ_{II}^n d^{p} \exp \left(- {{E + PV} \over RT} \right)  #ÄNDERN!!!!!!!!\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/CreepLaw/GrainBoundarySliding.jl#L127-L136">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(s::ConstantElasticity{_T}, τII; τII_old, dt)</code></pre><p>Computes elastic strainrate given the deviatoric stress at the current (<code>τII</code>) and old timestep (<code>τII_old</code>), for a timestep <code>dt</code>:</p><p class="math-container">\[    \dot{\varepsilon}^{el} = {1 \over 2 G} {D \tau_{II} \over Dt } ≈ {1 \over 2 G} {\tau_{II}- \tilde{\tau}_{II}^{old} \over dt }\]</p><p>Note that we here solve the scalar equation, which is sufficient for isotropic cases. In tensor form, it would be</p><p class="math-container">\[    {\dot{\varepsilon}^{el}}_{ij} = {1 \over 2 G} { \tau_{ij} - \tilde{{\tau_{ij}}}^{old} \over dt }\]</p><p>here <span>$\tilde{{\tau_{ij}}}^{old}$</span> is the rotated old deviatoric stress tensor to ensure objectivity (this can be done with Jaumann derivative, or also by using the full rotational formula).</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Elasticity/Elasticity.jl#L107-L121">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(p::DruckerPrager{_T,U,U1}, λdot::_T, τII::_T,  P)</code></pre><p>This computes plastic strain rate invariant for a given <span>$λdot$</span></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Plasticity/DruckerPrager.jl#L167-L171">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(p::DruckerPrager_regularised{_T,U,U1}, λdot::_T, τII::_T,  P)</code></pre><p>This computes plastic strain rate invariant for a given <span>$λdot$</span></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Plasticity/DruckerPrager_regularised.jl#L168-L172">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::Parallel{T,N}, τII, args; tol=1e-6, verbose=false, n=1)</code></pre><p>Computing <code>εII</code> as a function of <code>τII</code> for a Parallel elements is (usually) a nonlinear problem</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/CompositeRheologies/Parallel.jl#L49-L53">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::CompositeRheology{T,N}, τII, args; tol=1e-6, verbose=false, n=1)</code></pre><p>Computing <code>εII</code> as a function of <code>τII</code> for a composite element is the sum of the individual contributions</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/CompositeRheologies/CompositeRheology.jl#L76-L80">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::AbstractPlasticity, τII::_T, args; tol=1e-6, verbose=true)</code></pre><p>Performs local iterations to compute the plastic strainrate. Note that the non-plastic strainrate, ε_np, should be part of <code>args</code></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/CompositeRheologies/NonlinearIterations.jl#L127-L131">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)</code></pre><p>Computes strainrate as a function of stress</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/CreepLaw/DiffusionCreep.jl#L171-L175">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)</code></pre><p>Computes strainrate as a function of stress</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/CreepLaw/GrainBoundarySliding.jl#L164-L168">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, s::LinearViscous, TauII::AbstractArray{_T,N})</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/CreepLaw/CreepLaw.jl#L112-L115">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, s::ArrheniusType, TauII::AbstractArray{_T,N})</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/CreepLaw/CreepLaw.jl#L224-L227">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(ε_el::AbstractArray{_T,N}, s::ConstantElasticity{_T}; τII::AbstractArray{_T,N}, τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)</code></pre><p>In-place computation of the elastic shear strainrate for given deviatoric stress invariants at the previous (<code>τII_old</code>) and new (<code>τII</code>) timestep, as well as the timestep <code>dt</code>  </p><p class="math-container">\[    \dot{\varepsilon}^{el} = {1 \over 2 G} {D \tau_{II} \over Dt } ≈ {1 \over 2 G} {\tau_{II}- \tau_{II}^{old} \over dt }\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Elasticity/Elasticity.jl#L151-L160">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_τII(a::DislocationCreep, EpsII; P, T, f, args...)</code></pre><p>Computes the stress for a Dislocation creep law given a certain strain rate</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/CreepLaw/DislocationCreep.jl#L190-L195">source</a></section><section><div><pre><code class="nohighlight hljs">computeCreepLaw_TauII(EpsII::_T, a::DiffusionCreep; T::_T, P=zero(_T), f=one(_T), d=one(_T), kwargs...)</code></pre><p>Returns diffusion creep stress as a function of 2nd invariant of the strain rate </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/CreepLaw/DiffusionCreep.jl#L228-L232">source</a></section><section><div><pre><code class="nohighlight hljs">computeCreepLaw_TauII(EpsII::_T, a::GrainBoundarySliding; T::_T, P=zero(_T), d=one(_T), kwargs...)</code></pre><p>Returns grain boundary sliding stress as a function of 2nd invariant of the strain rate </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/CreepLaw/GrainBoundarySliding.jl#L210-L214">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(a::PeierlsCreep, EpsII; P, T, f, args...)</code></pre><p>Computes the stress for a peierls creep law given a certain strain rate.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/CreepLaw/PeierlsCreep.jl#L174-L179">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(s::LinearViscous, EpsII; kwargs...)</code></pre><p>Returns second invariant of the stress tensor given a 2nd invariant of strain rate tensor </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/CreepLaw/CreepLaw.jl#L138-L142">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(s::ArrheniusType, EpsII; kwargs...)</code></pre><p>Returns second invariant of the stress tensor given a 2nd invariant of strain rate tensor </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/CreepLaw/CreepLaw.jl#L248-L252">source</a></section><section><div><pre><code class="nohighlight hljs">τII = compute_τII(v::CompositeRheology{T,N}, εII, args; tol=1e-6, verbose=false)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/CompositeRheologies/CompositeRheology.jl#L208-L211">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_τII!(TauII::AbstractArray{_T,N}, a::DislocationCreep, EpsII::AbstractArray{_T,N}; 
+    P =       zero(TauII)::AbstractArray{_T,N}, 
+    T = ones(size(TauII))::AbstractArray{_T,N}, 
+    f = ones(size(TauII))::AbstractArray{_T,N})</code></pre><p>Computes the deviatoric stress invariant for a dislocation creep law</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/CreepLaw/DislocationCreep.jl#L228-L235">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII!(TauII::AbstractArray{_T,N}, a::PeierlsCreep, EpsII::AbstractArray{_T,N}; 
+    T = ones(size(TauII))::AbstractArray{_T,N}, args...)</code></pre><p>Computes the deviatoric stress invariant for a peierls creep law.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/CreepLaw/PeierlsCreep.jl#L207-L213">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII!(τII::AbstractArray{_T,N}, s::ConstantElasticity{_T}. ε_el::AbstractArray{_T,N}; τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)</code></pre><p>In-place update of the elastic stress for given deviatoric strainrate invariants and stres invariant at the old (<code>τII_old</code>) timestep, as well as the timestep <code>dt</code>  </p><p class="math-container">\[    \tau_{II} = 2 G dt \dot{\varepsilon}^{el} + \tau_{II}^{old}\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Elasticity/Elasticity.jl#L175-L184">source</a></section></article><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.CorrectionFactor</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.RemoveTensorCorrection</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../density/">« Density</a><a class="docs-footer-nextpage" href="../customrheology/">Custom rheology »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 24 January 2024 13:04">Wednesday 24 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li class="is-active"><a class="tocitem" href>Custom rheology</a><ul class="internal"><li><a class="tocitem" href="#User-defined-rheology"><span><code>User-defined rheology</code></span></a></li><li><a class="tocitem" href="#Example:-Arrhenious-type-rheology"><span>Example: Arrhenious-type rheology</span></a></li></ul></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Custom rheology</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Custom rheology</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/customrheology.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h2 id="User-defined-rheology"><a class="docs-heading-anchor" href="#User-defined-rheology"><code>User-defined rheology</code></a><a id="User-defined-rheology-1"></a><a class="docs-heading-anchor-permalink" href="#User-defined-rheology" title="Permalink"></a></h2><p><code>CustomRheology</code> allows the user to interface with <code>GeoParams.jl</code> API for rheology calculations: </p><pre><code class="language-julia hljs">struct CustomRheology{F1, F2, T} &lt;: AbstractCreepLaw
+    strain::F1
+    stress::F2
+    args::T
+end</code></pre><p>where <code>strain</code> and <code>stress</code> are functions that compute the strain rate and deviatoric stress tensors, respectively, and <code>args</code> is a <code>NamedTuple</code> containing any constant (i.e. <strong>immutable</strong>) physical parameters needed by our <code>CustomRheology</code>. </p><h2 id="Example:-Arrhenious-type-rheology"><a class="docs-heading-anchor" href="#Example:-Arrhenious-type-rheology">Example: Arrhenious-type rheology</a><a id="Example:-Arrhenious-type-rheology-1"></a><a class="docs-heading-anchor-permalink" href="#Example:-Arrhenious-type-rheology" title="Permalink"></a></h2><p>The deviatoric stress <span>$\tau_{ij}$</span> and strain rate tensors <span>$\dot{\varepsilon}_{ij}$</span> are simply <span>$\tau_{ij} = 2 \eta \dot{\varepsilon}_{ij}$</span> and <span>$\dot{\varepsilon}_{ij}  = {\tau_{ij}  \over 2 \eta}$</span></p><p>and the viscosity <span>$\eta$</span> is temperature-dependant     <span>$\eta = \eta_{0}  \exp\left(\frac{E}{T+T_{o}}-\frac{E}{T_{\eta}+T_{o}}\right)$</span></p><p>where <span>$\eta_0$</span> and <span>$T_{\eta}$</span> are the respective reference viscosity and temperature, <span>$T_o$</span> is the offset temperature, <span>$T$</span> is the local temperature, and <span>$E$</span> is activation energy. </p><p>Before defining the functions to compute <span>$\tau$</span> and <span>$\dot{\varepsilon}$</span>, it is convenient to define a helper function to compute the viscosity:</p><pre><code class="language-julia hljs">@inline function custom_viscosity(
+    a::CustomRheology; T = 0.0, kwargs...
+)
+    (; η0, E, To, Tη) = a.args
+    η = η0 * exp(E / (T + To) - E / (Tη + To))
+    return  η
+end</code></pre><p>Then we just need to define two simple functions to compue the second invariants of <span>$\tau_{ij}$</span> and <span>$\dot{\varepsilon}_{ij}$</span>:</p><pre><code class="language-julia hljs"># function to compute deviatoric stress
+@inline function custom_τII(
+    a::CustomRheology, EpsII; kwargs...
+)
+    η = custom_viscosity(a; kwargs...)
+    return 2.0 * (η * EpsII)
+end
+
+# function to compute strain rate
+@inline function custom_εII(
+    a::CustomRheology, TauII; kwargs...
+)
+    η = custom_viscosity(a; kwargs...)
+    return (TauII / η) * 0.5
+end</code></pre><p>Note that the key word argument <code>kwargs...</code> is needed in all the above functions for compatibility with <code>GeoParams.jl</code>. </p><p>Finally, we need a <code>NamedTuple</code> containing the physical parameters needed by <code>custom_τII</code> and <code>custom_εII</code>:</p><pre><code class="language-julia hljs"># constant parameters, these are typically wrapped into a struct (compulsory)
+parameters = (;
+    η0 = 1.0,
+    E = 23.03,
+    To = 1.0,
+    Tη = 1.0,
+)</code></pre><p>Then the <code>CustomRheology</code> object is created</p><pre><code class="language-julia hljs">a = CustomRheology(custom_εII, custom_τII, parameters)</code></pre><p>Now we can use our new rheology object with <code>GeoParams.jl</code> methods:</p><pre><code class="language-julia-repl hljs">julia&gt; args = (; T=0.5)
+(T = 0.5,)
+
+julia&gt; τII, εII = 1.5,  0.5
+(1.5, 0.5)
+
+julia&gt; ε = compute_εII(v, τII, args)
+0.016147090412110487
+
+julia&gt; τ = compute_τII(v, εII, args)
+46.44799656521971
+
+julia&gt; dεdτ = dεII_dτII(v, τII, args)
+0.010764726941406991
+
+julia&gt; dτdε = dτII_dεII(v, εII, args)
+92.89599313043942</code></pre><p>And also works for composite rheologies:</p><pre><code class="language-julia-repl hljs">julia&gt; el = ConstantElasticity(; G=1.0)
+Linear elasticity with shear modulus: G = 1.0, Poisson&#39;s ratio: ν = 0.5, bulk modulus: Kb = Inf and Young&#39;s module: E=NaN
+
+julia&gt; c = CompositeRheology(v, el)
+--?????----/\/\/--
+
+julia&gt; args = (; dt=Inf, T=0.5)
+(dt = Inf, T = 0.5)
+
+julia&gt; ε = compute_εII(c, τII, args)
+0.016147090412110487
+
+julia&gt; τ = compute_τII(c, εII, args)
+46.44799656521971</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../creeplaws/">« Creep laws</a><a class="docs-footer-nextpage" href="../viscosity/">Viscosity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 24 January 2024 13:04">Wednesday 24 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.4/man/density/index.html b/v0.5.4/man/density/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Density · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li class="is-active"><a class="tocitem" href>Density</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Density</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Density</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/density.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Density"><a class="docs-heading-anchor" href="#Density">Density</a><a id="Density-1"></a><a class="docs-heading-anchor-permalink" href="#Density" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>The density equation of state can be specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.ConstantDensity" href="#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantDensity(ρ=2900kg/m^3)</code></pre><p>Set a constant density:</p><p class="math-container">\[    \rho  = cst\]</p><p>where <span>$\rho$</span> is the density [<span>$kg/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Density/Density.jl#L39-L47">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.PT_Density" href="#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)</code></pre><p>Set a pressure and temperature-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 (1.0 - \alpha (T-T_0) + \beta  (P-P_0) )  \]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference temperature <span>$T_0$</span> and pressure <span>$P_0$</span>, <span>$\alpha$</span> is the temperature dependence of density and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Density/Density.jl#L81-L90">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.Compressible_Density" href="#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)</code></pre><p>Set a pressure-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 \exp(β*(P - P\_0))  \]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference pressure <span>$P_0$</span> and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Density/Density.jl#L134-L142">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To evaluate density within a user routine, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density" href="#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_density(P,T, s::PhaseDiagram_LookupTable)</code></pre><p>Interpolates density as a function of <code>T,P</code> from a lookup table  </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Density/Density.jl#L182-L185">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density!" href="#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I&lt;:Integer}</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; MatParam = (SetMaterialParams(Name=&quot;Mantle&quot;, Phase=1,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                        Density   = PT_Density()
+                        ),
+                    SetMaterialParams(Name=&quot;Crust&quot;, Phase=2,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),
+                        Density   = ConstantDensity(ρ=2900kg/m^3))
+                  );
+julia&gt; Phases = ones(Int64,400,400);
+julia&gt; Phases[:,20:end] .= 2
+julia&gt; rho     = zeros(size(Phases))
+julia&gt; T       =  ones(size(Phases))
+julia&gt; P       =  ones(size(Phases))*10
+julia&gt; args = (P=P, T=T)
+julia&gt; compute_density!(rho, MatParam, Phases, args)
+julia&gt; rho
+400×400 Matrix{Float64}:
+2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮                            
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0</code></pre><p>The routine is made to minimize allocations:</p><pre><code class="language-julia hljs">julia&gt; using BenchmarkTools
+julia&gt; @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)
+    203.468 μs (0 allocations: 0 bytes)</code></pre><p>_____________________________________________________________________________________________________________________________   </p><pre><code class="nohighlight hljs">compute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Density/Density.jl#L205-L270">source</a></section></article><p>Note that density values are usually not used in itself in the governing PDE&#39;s, but usually in combination with other parameters, such as <span>$\rho g$</span> or <span>$\rho c_p$</span>. the non-dimensional value of <span>$\rho$</span> may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../materialparameters/">« Material Parameters</a><a class="docs-footer-nextpage" href="../creeplaws/">Creep laws »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 24 January 2024 13:04">Wednesday 24 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.4/man/elasticity/index.html b/v0.5.4/man/elasticity/index.html
new file mode 100644
index 000000000..8e40dfcfe
--- /dev/null
+++ b/v0.5.4/man/elasticity/index.html
@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Elasticity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li class="is-active"><a class="tocitem" href>Elasticity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Implemented-laws"><span>Implemented laws</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Elasticity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Elasticity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/elasticity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Elasticity"><a class="docs-heading-anchor" href="#Elasticity">Elasticity</a><a id="Elasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Elasticity" title="Permalink"></a></h1><p>Elasticity is, in geodynamics, often used in combination with viscous and plastic rheology.</p><h1 id="Implemented-laws"><a class="docs-heading-anchor" href="#Implemented-laws">Implemented laws</a><a id="Implemented-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-laws" title="Permalink"></a></h1><p>We provide the following elastic constitutive relationships:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantElasticity(G, ν, K, E)</code></pre><p>Structure that holds parameters for constant, isotropic, linear elasticity.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Elasticity/Elasticity.jl#L30-L34">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetConstantElasticity(; G=nothing, ν=nothing, E=nothing, Kb=nothing)</code></pre><p>This allows setting elastic parameters by specifying 2 out of the 4 elastic parameters <code>G</code> (Elastic shear modulus), <code>ν</code> (Poisson&#39;s ratio), <code>E</code> (Young&#39;s modulus), or <code>Kb</code> (bulk modulus).</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Elasticity/Elasticity.jl#L46-L50">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>We can compute the elastic strainrate with:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_εII</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_εII!</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../viscosity/">« Viscosity</a><a class="docs-footer-nextpage" href="../plasticity/">Plasticity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 24 January 2024 13:04">Wednesday 24 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.4/man/geounit/index.html b/v0.5.4/man/geounit/index.html
new file mode 100644
index 000000000..408fb0f6a
--- /dev/null
+++ b/v0.5.4/man/geounit/index.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>GeoUnit · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li class="is-active"><a class="tocitem" href>GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>GeoUnit</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>GeoUnit</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/geounit.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="GeoUnit"><a class="docs-heading-anchor" href="#GeoUnit"><code>GeoUnit</code></a><a id="GeoUnit-1"></a><a class="docs-heading-anchor-permalink" href="#GeoUnit" title="Permalink"></a></h1><p>Most parameters have physical units (100km, 9.81 ms⁻²). Yet, within numerical solvers it is usually not a good idea to compute with the actual SI units as they (at least in geosciences) tend to result in very large/small numbers, which can cause in roundoff errors.  Therefore, we usually convert the dimensional units into non-dimensional ones befeore starting computations. The results can than be converted back to more convenient units for us when we generate the output (plots, for example).</p><p>This requires a way to store the dimensions of a parameter, but also, once they are made nondimensional, the original units (otherwise we can&#39;t convert them back to dimensional values).</p><p>For that reason, we use the <code>GeoUnit</code> structure, defined as </p><pre><code class="language-julia hljs">struct GeoUnit{T,U}
+    val          :: T
+    unit         :: U
+    isdimensional:: Bool
+end</code></pre><p>You can define a GeoUnit as:</p><pre><code class="language-julia hljs">julia&gt; a = GeoUnit(100km)
+GeoUnit{dimensional, km}, 
+100.0
+julia&gt; b=GeoUnit(100s)
+GeoUnit{dimensional, s}, 
+100.0</code></pre><p>Dividing the two gives the expected result</p><pre><code class="language-julia hljs">julia&gt; c=a/b
+GeoUnit{dimensional, km s⁻¹·⁰}, 
+1.0</code></pre><p>Can also be a vector:</p><pre><code class="language-julia hljs">julia&gt; T = GeoUnit(100K:10.0K:1000K)
+GeoUnit{dimensional, K}, 
+100.0:10.0:1000.0</code></pre><p>The numerical value is obtained with:</p><pre><code class="language-julia hljs">julia&gt; NumValue(c)
+1.0</code></pre><p>It&#39;s unit with</p><pre><code class="language-julia hljs">julia&gt; Unit(c)
+km s⁻¹·⁰</code></pre><p>and the value with unit with</p><pre><code class="language-julia hljs">julia&gt; Value(c)
+1.0 km s⁻¹·⁰</code></pre><p>If you multiply or divide a <code>GeoUnit</code> with a normal number, we assume that you are no longer interested in the units and you&#39;ll get a Float64:</p><pre><code class="language-julia hljs">julia&gt; c*100
+100.0</code></pre><p>The value of the <code>GeoUnit</code> struct becomes clear once we non-dimensionalize it (as explained in more detail in a separate page). For that, first specify which characteristic values you want to use for non-dimensionalisation: </p><pre><code class="language-julia hljs">julia&gt; CharDim = GEO_units(length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas);</code></pre><p>Let&#39;s define a stress:</p><pre><code class="language-julia hljs">julia&gt; σ=GeoUnit(10MPa)
+GeoUnit{dimensional, MPa}, 
+10.0</code></pre><p>And transfer it to nondimensional units:</p><pre><code class="language-julia hljs">julia&gt; σ_nd = nondimensionalize(σ,CharDim)
+GeoUnit{nondimensional, MPa}, 
+0.9999999999999998</code></pre><p>Instead of 1e7 Pa, we now have 1.0; yet at the same time we know that the original unit of σ_nd was in MPa, which allows to transfer it back to dimensional units:</p><pre><code class="language-julia hljs">julia&gt; dimensionalize(σ_nd,CharDim)
+GeoUnit{dimensional, MPa}, 
+10.0</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../">« Home</a><a class="docs-footer-nextpage" href="../nondimensionalize/">Nondimensionalization »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 24 January 2024 13:04">Wednesday 24 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.4/man/gravity/index.html b/v0.5.4/man/gravity/index.html
new file mode 100644
index 000000000..20c5a3a68
--- /dev/null
+++ b/v0.5.4/man/gravity/index.html
@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Gravity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li class="is-active"><a class="tocitem" href>Gravity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Gravity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Gravity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/gravity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Gravitational-acceleration"><a class="docs-heading-anchor" href="#Gravitational-acceleration">Gravitational acceleration</a><a id="Gravitational-acceleration-1"></a><a class="docs-heading-anchor-permalink" href="#Gravitational-acceleration" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Gravitational acceleration is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">GravityConstant(g=9.81m/s^2)</code></pre><p>Set a constant value for the gravitational acceleration:</p><p class="math-container">\[    g  = 9.81 m s^{-2}\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/GravitationalAcceleration/GravitationalAcceleration.jl#L18-L25">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a> — <span class="docstring-category">Function</span></header><section><div><p>compute_gravity(s:&lt;AbstractGravity)</p><p>Returns the gravitational acceleration </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/GravitationalAcceleration/GravitationalAcceleration.jl#L61-L66">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../shearheating/">« Shear heating</a><a class="docs-footer-nextpage" href="../melting/">Partial Melting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 24 January 2024 13:04">Wednesday 24 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.4/man/heatcapacity/index.html b/v0.5.4/man/heatcapacity/index.html
new file mode 100644
index 000000000..cb9b61d2b
--- /dev/null
+++ b/v0.5.4/man/heatcapacity/index.html
@@ -0,0 +1,16 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Heat Capacity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li class="is-active"><a class="tocitem" href>Heat Capacity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Heat Capacity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Heat Capacity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/heatcapacity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Heat-capacity"><a class="docs-heading-anchor" href="#Heat-capacity">Heat capacity</a><a id="Heat-capacity-1"></a><a class="docs-heading-anchor-permalink" href="#Heat-capacity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Heat capacity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity" href="#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantHeatCapacity(cp=1050J/mol/kg)</code></pre><p>Set a constant heat capacity:</p><p class="math-container">\[    cp  = cst\]</p><p>where <span>$cp$</span> is the thermal heat capacity [<span>$J/kg/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Energy/HeatCapacity.jl#L26-L34">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington" href="#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_HeatCapacity_Whittington()</code></pre><p>Sets a temperature-dependent heat capacity following the parameterization of Whittington et al. (2009), Nature:</p><p class="math-container">\[    Cp = (a + b T - c/T^2)/m \]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/kg/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <code>T</code>:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>molmass =   0.22178kg/mol </li></ul><p>Note that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than <span>$J/mol/K$</span> as in eq.3/4 of the paper)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Energy/HeatCapacity.jl#L59-L77">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">Cp = compute_heatcapacity(s:&lt;AbstractHeatCapacity, P, T)</code></pre><p>Returns the heat capacity <code>Cp</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the heat capacity laws implemented.</p><p>Currently available:</p><ul><li>ConstantHeatCapacity</li><li>T_HeatCapacity_Whittington</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia hljs">julia&gt; T  = (250:100:1250)*K;
+julia&gt; cp = T_HeatCapacity_Whittington()
+julia&gt; Cp = ComputeHeatCapacity(0,T,cp)
+11-element Vector{Unitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:
+  635.4269997294616 J kg⁻¹ K⁻¹
+  850.7470171764261 J kg⁻¹ K⁻¹
+  962.0959598489883 J kg⁻¹ K⁻¹
+ 1037.5420433770641 J kg⁻¹ K⁻¹
+ 1097.3517921966488 J kg⁻¹ K⁻¹
+ 1149.2745563671706 J kg⁻¹ K⁻¹
+ 1157.7915050948404 J kg⁻¹ K⁻¹
+ 1172.3554874197264 J kg⁻¹ K⁻¹
+ 1186.9194697445964 J kg⁻¹ K⁻¹
+  1201.483452069455 J kg⁻¹ K⁻¹
+ 1216.0474343943067 J kg⁻¹ K⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Energy/HeatCapacity.jl#L145-L175">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_heatcapacity!(Cp::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat})</code></pre><p>In-place computation of heat capacity <code>Cp</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Energy/HeatCapacity.jl#L197-L202">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plasticity/">« Plasticity</a><a class="docs-footer-nextpage" href="../conductivity/">Conductivity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 24 January 2024 13:04">Wednesday 24 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.4/man/latentheat/index.html b/v0.5.4/man/latentheat/index.html
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+++ b/v0.5.4/man/latentheat/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Latent heat · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li class="is-active"><a class="tocitem" href>Latent heat</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Latent heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Latent heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/latentheat.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Latent-heat"><a class="docs-heading-anchor" href="#Latent-heat">Latent heat</a><a id="Latent-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Latent-heat" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Latent heat (of crystallisation) is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat" href="#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantLatentHeat(Q_L=400kJ/kg)</code></pre><p>Set a constant latent heat:</p><p class="math-container">\[    Q_L  = cst\]</p><p>where <span>$Q_L$</span> is the latent heat [<span>$kJ/kg$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Energy/LatentHeat.jl#L22-L30">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.LatentHeat.compute_latent_heat</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../conductivity/">« Conductivity</a><a class="docs-footer-nextpage" href="../radioactiveheating/">Radioactive heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 24 January 2024 13:04">Wednesday 24 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.4/man/listfunctions/index.html b/v0.5.4/man/listfunctions/index.html
new file mode 100644
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--- /dev/null
+++ b/v0.5.4/man/listfunctions/index.html
@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>List of functions · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li class="is-active"><a class="tocitem" href>List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>List of functions</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>List of functions</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/listfunctions.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="List-of-all-functions"><a class="docs-heading-anchor" href="#List-of-all-functions">List of all functions</a><a id="List-of-all-functions-1"></a><a class="docs-heading-anchor-permalink" href="#List-of-all-functions" title="Permalink"></a></h1><p>This page details the some of the guidelines that should be followed when contributing to this package.</p><ul><li><a href="../nondimensionalize/#GeoParams.Units"><code>GeoParams.Units</code></a></li><li><a href="../strengthenvelope/#GeoParams.ConstTemp"><code>GeoParams.ConstTemp</code></a></li><li><a href="../strengthenvelope/#GeoParams.HalfspaceCoolTemp"><code>GeoParams.HalfspaceCoolTemp</code></a></li><li><a href="../strengthenvelope/#GeoParams.LinTemp"><code>GeoParams.LinTemp</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington</code></a></li><li><a href="../latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a></li><li><a href="../phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_4thOrder"><code>GeoParams.MeltingParam.MeltingParam_4thOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_5thOrder"><code>GeoParams.MeltingParam.MeltingParam_5thOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Assimilation"><code>GeoParams.MeltingParam.MeltingParam_Assimilation</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Quadratic"><code>GeoParams.MeltingParam.MeltingParam_Quadratic</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.SmoothMelting"><code>GeoParams.MeltingParam.SmoothMelting</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.TASclassificationData"><code>GeoParams.TASclassification.TASclassificationData</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.ZirconAgeData"><code>GeoParams.ZirconAges.ZirconAgeData</code></a></li><li><a href="../strengthenvelope/#GeoParams.CompTempStruct"><code>GeoParams.CompTempStruct</code></a></li><li><a href="../strengthenvelope/#GeoParams.LithPres"><code>GeoParams.LithPres</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_dϕdT"><code>GeoParams.MeltingParam.compute_dϕdT</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_dϕdT!"><code>GeoParams.MeltingParam.compute_dϕdT!</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a></li><li><a href="../phasediagrams/#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a></li><li><a href="../plotting/#GeoParams.PlotConductivity"><code>GeoParams.PlotConductivity</code></a></li><li><a href="../plotting/#GeoParams.PlotDeformationMap"><code>GeoParams.PlotDeformationMap</code></a></li><li><a href="../plotting/#GeoParams.PlotHeatCapacity"><code>GeoParams.PlotHeatCapacity</code></a></li><li><a href="../melting/#GeoParams.PlotMeltFraction"><code>GeoParams.PlotMeltFraction</code></a></li><li><a href="../plotting/#GeoParams.PlotPhaseDiagram"><code>GeoParams.PlotPhaseDiagram</code></a></li><li><a href="../strengthenvelope/#GeoParams.StrengthEnvelopeComp"><code>GeoParams.StrengthEnvelopeComp</code></a></li><li><a href="../strengthenvelope/#GeoParams.StrengthEnvelopePlot"><code>GeoParams.StrengthEnvelopePlot</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.computeTASclassification"><code>GeoParams.TASclassification.computeTASclassification</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.retrieveTASrockType"><code>GeoParams.TASclassification.retrieveTASrockType</code></a></li><li><a href="../tables/#GeoParams.Tables.Dict2LatexTable"><code>GeoParams.Tables.Dict2LatexTable</code></a></li><li><a href="../tables/#GeoParams.Tables.Dict2MarkdownTable"><code>GeoParams.Tables.Dict2MarkdownTable</code></a></li><li><a href="../tables/#GeoParams.Tables.ParameterTable"><code>GeoParams.Tables.ParameterTable</code></a></li><li><a href="../tables/#GeoParams.Tables.Phase2Dict"><code>GeoParams.Tables.Phase2Dict</code></a></li><li><a href="../tables/#GeoParams.Tables.Phase2DictMd"><code>GeoParams.Tables.Phase2DictMd</code></a></li><li><a href="../tables/#GeoParams.Tables.detachFloatfromExponent"><code>GeoParams.Tables.detachFloatfromExponent</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.compute_zircon_age_PDF"><code>GeoParams.ZirconAges.compute_zircon_age_PDF</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.compute_zircons_Ttpath"><code>GeoParams.ZirconAges.compute_zircons_Ttpath</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.zircon_age_PDF"><code>GeoParams.ZirconAges.zircon_age_PDF</code></a></li><li><a href="../viscosity/#GeoParams.compute_viscosity_εII"><code>GeoParams.compute_viscosity_εII</code></a></li><li><a href="../viscosity/#GeoParams.compute_viscosity_τII"><code>GeoParams.compute_viscosity_τII</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a></li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plotting/">« Plotting</a><a class="docs-footer-nextpage" href="../contributing/">Contributing »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 24 January 2024 13:04">Wednesday 24 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.4/man/materialparameters/index.html b/v0.5.4/man/materialparameters/index.html
new file mode 100644
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--- /dev/null
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Material Parameters · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li class="is-active"><a class="tocitem" href>Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Material Parameters</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Material Parameters</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/materialparameters.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="MaterialParameters"><a class="docs-heading-anchor" href="#MaterialParameters">MaterialParameters</a><a id="MaterialParameters-1"></a><a class="docs-heading-anchor-permalink" href="#MaterialParameters" title="Permalink"></a></h1><p>Material properties for a given phase can be set with <code>SetMaterialParams</code>, whereas all properties are  stored in the <code>MaterialParams</code> structure. Information about the material parameter is found at <code>MaterialParamsInfo</code>. This can be employed </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParamsInfo" href="#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MaterialParamsInfo</code></pre><p>Structure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.</p><p>Usually used in combination with <code>param_info(the_parameter_of_interest)</code></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/MaterialParameters.jl#L25-L33">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SetMaterialParams" href="#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetMaterialParams(; Name::String=&quot;&quot;, Phase::Int64=1,
+                    Density             =   nothing, 
+                    Gravity             =   nothing,
+                    CreepLaws           =   nothing, 
+                    Elasticity          =   nothing, 
+                    Plasticity          =   nothing, 
+                    CompositeRheology   =   nothing,
+                    Conductivity        =   nothing, 
+                    HeatCapacity        =   nothing, 
+                    RadioactiveHeat     =   nothing,
+                    LatentHeat          =   nothing,
+                    ShearHeat           =   nothing,
+                    Melting             =   nothing,
+                    SeismicVelocity     =   nothing,
+                    CharDim::GeoUnits   =   nothing)</code></pre><p>Sets material parameters for a given phase. </p><p>If <code>CharDim</code> is specified the input parameters are non-dimensionalized.   Note that if <code>Density</code> is specified, we also set <code>Gravity</code> even if not explicitly listed</p><p><strong>Examples</strong></p><p>Define two viscous creep laws &amp; constant density:</p><pre><code class="language-julia-repl hljs">julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;,
+                       Density   = ConstantDensity(),
+                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))
+Phase 1 : Viscous Matrix
+        | [dimensional units]
+        | 
+        |-- Density           : Constant density: ρ=2900 kg m⁻³ 
+        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  
+        |                       Linear viscosity: η=1.0e21 Pa s</code></pre><p>Define two viscous creep laws &amp; P/T dependent density and nondimensionalize</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);
+julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;, Phase=33,
+                              Density   = PT_Density(),
+                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),
+                              CharDim   = CharUnits_GEO)
+Phase 33: Viscous Matrix
+        | [non-dimensional units]
+        | 
+        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0 
+        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18 
+        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001  
+        |                       Linear viscosity: η=10000.0 </code></pre><p>You can also create an array that holds several parameters:</p><pre><code class="language-julia-repl hljs">julia&gt; MatParam        =   Array{MaterialParams, 1}(undef, 2);
+julia&gt; Phase           =   1;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Upper Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                            Density  = ConstantDensity(ρ=2900kg/m^3));
+julia&gt; Phase           =   2;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Lower Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),
+                            Density  = PT_Density(ρ0=3000kg/m^3));
+julia&gt; MatParam
+2-element Vector{MaterialParams}:
+ Phase 1 : Upper Crust
+    | [dimensional units]
+    | 
+    |-- Density           : Constant density: ρ=2900 kg m⁻³ 
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  
+    |                       Linear viscosity: η=1.0e23 Pa s 
+                            
+ Phase 2 : Lower Crust
+    | [dimensional units]
+    | 
+    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa 
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹  
+    |                       Linear viscosity: η=1.0e21 Pa s </code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/MaterialParameters.jl#L99-L184">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParams" href="#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MaterialParams</code></pre><p>Structure that holds all material parameters for a given phase</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/MaterialParameters.jl#L59-L64">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../nondimensionalize/">« Nondimensionalization</a><a class="docs-footer-nextpage" href="../density/">Density »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 24 January 2024 13:04">Wednesday 24 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.4/man/melting/index.html b/v0.5.4/man/melting/index.html
new file mode 100644
index 000000000..2a248eb0f
--- /dev/null
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Partial Melting · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input 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Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Partial Melting</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Partial Melting</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/melting.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Melting-Parameterizations"><a class="docs-heading-anchor" href="#Melting-Parameterizations">Melting Parameterizations</a><a id="Melting-Parameterizations-1"></a><a class="docs-heading-anchor-permalink" href="#Melting-Parameterizations" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>A number of melting parameterisations are implemented, which can be set with:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Caricchi" href="#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Caricchi()</code></pre><p>Implements the T-dependent melting parameterisation used by Caricchi, Simpson et al. (as for example described in Simpson)</p><p class="math-container">\[    \theta = {(a - (T + c)) \over b}\]</p><p class="math-container">\[    \phi_{melt} = {1.0 \over (1.0 + e^\theta)}\]</p><p>Note that T is in Kelvin. As default parameters we employ:</p><p class="math-container">\[b=23K,  a=800K , c=273.15K\]</p><p>Which gives a reasonable fit to experimental data of granodioritic composition (Piwinskii and Wyllie, 1968):</p><p><img src="../assets/img/MeltingParam_Caricchi.png" alt="MeltParam_Carrichi"/></p><p><strong>References</strong></p><ul><li>Simpson G. (2017) Practical finite element modelling in Earth Sciences Using MATLAB.</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/MeltFraction/MeltingParameterization.jl#L33-L55">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_5thOrder" href="#GeoParams.MeltingParam.MeltingParam_5thOrder"><code>GeoParams.MeltingParam.MeltingParam_5thOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_5thOrder(a,b,c,d,e,f,T_s,T_l)</code></pre><p>Uses a 5th order polynomial to describe the melt fraction <code>phi</code> between solidus temperature <code>T_s</code> and liquidus temperature <code>T_l</code></p><p class="math-container">\[    \phi = a T^5 + b T^4 + c T^3 + d T^2 + e T + f  \textrm{   for   } T_s ≤ T ≤ T_l\]</p><p class="math-container">\[    \phi = 1  \textrm{   if   } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0  \textrm{   if   } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_5thorder.png" alt="MeltingParam_5thOrder"/></p><p>The default values are for a composite liquid-line-of-descent:</p><ul><li>the upper part is for Andesite from: (Blatter, D. L. &amp; Carmichael, I. S. (2001) Hydrous phase equilibria of a Mexican highsilica andesite: a candidate for a mantle origin? Geochim. Cosmochim. Acta 65, 4043–4065</li><li>the lower part is extrapolated to the granitic minimum using the Marxer &amp; Ulmer LLD for Andesite (Marxer, F. &amp; Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. <em>Contributions Mineral. Petrol.</em> 174, 84)</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/MeltFraction/MeltingParameterization.jl#L93-L114">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_4thOrder" href="#GeoParams.MeltingParam.MeltingParam_4thOrder"><code>GeoParams.MeltingParam.MeltingParam_4thOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_4thOrder(b,c,d,e,f,T_s,T_l)</code></pre><p>Uses a 4th order polynomial to describe the melt fraction <code>phi</code> between solidus temperature <code>T_s</code> and liquidus temperature <code>T_l</code></p><p class="math-container">\[    \phi = b T^4 + c T^3 + d T^2 + e T + f  \textrm{   for   } T_s ≤ T ≤ T_l\]</p><p class="math-container">\[    \phi = 1 \textrm{   if   } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0  \textrm{   if   } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_4thorder.png" alt="MeltingParam_4thOrder"/></p><p>The default values are for Tonalite experiments from Marxer and Ulmer (2019):</p><ul><li>Marxer, F. &amp; Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. <em>Contributions Mineral. Petrol.</em> 174, 84</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/MeltFraction/MeltingParameterization.jl#L176-L196">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Quadratic" href="#GeoParams.MeltingParam.MeltingParam_Quadratic"><code>GeoParams.MeltingParam.MeltingParam_Quadratic</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Quadratic(T_s,T_l)</code></pre><p>Quadratic melt fraction parameterisation where melt fraction <span>$\phi$</span> depends only on solidus (<span>$T_s$</span>) and liquidus (<span>$T_l$</span>) temperature:</p><p class="math-container">\[    \phi = 1.0 - \left( {T_l - T} \over {T_l - T_s} \right)^2\]</p><p class="math-container">\[    \phi = 1.0 \textrm{ if } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0.0 \textrm{ if } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_Quadratic.png" alt="MeltingParam_Quadratic"/></p><p>This was used, among others, in Tierney et al. (2016) Geology</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/MeltFraction/MeltingParameterization.jl#L261-L280">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Assimilation" href="#GeoParams.MeltingParam.MeltingParam_Assimilation"><code>GeoParams.MeltingParam.MeltingParam_Assimilation</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Assimilation(T_s,T_l,a)</code></pre><p>Melt fraction parameterisation that takes the assimilation of crustal host rocks into account, as used by Tierney et al. (2016) based upon a parameterisation of Spera and Bohrson (2001)</p><p>Here, the fraction of molten and assimilated host rocks <span>$\phi$</span> depends on the solidus (<span>$T_s$</span>) and liquidus (<span>$T_l$</span>) temperatures of the rocks, as well as on a parameter <span>$a=0.005$</span></p><p class="math-container">\[    X = \left( {T - T_s} \over {T_l - T_s} \right)\]</p><p class="math-container">\[    \phi = a \cdot \left( \exp^{2ln(100)X} - 1.0 \right) \textrm{ if } X ≤ 0.5\]</p><p class="math-container">\[    \phi = 1- a \cdot \exp^{2ln(100)(1-X)}  \textrm{ if } X &gt; 0.5\]</p><p class="math-container">\[    \phi = 1.0 \textrm{ if } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0.0 \textrm{ if } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_Assimilation.png" alt="MeltingParam_Assimilation"/></p><p>This was used, among others, in Tierney et al. (2016), who employed as default parameters:</p><p class="math-container">\[   T_s=973.15, T_l=1173.15, a=0.005\]</p><p><strong>References</strong></p><ul><li>Spera, F.J., and Bohrson, W.A., 2001, Energy-Constrained Open-System Magmatic Processes I: General Model and Energy-Constrained Assimilation and Fractional Crystallization (EC- AFC) Formulation: Journal of Petrology, v. 42, p. 999–1018.</li><li>Tierney, C.R., Schmitt, A.K., Lovera, O.M., de Silva, S.L., 2016. Voluminous plutonism during volcanic quiescence revealed by thermochemical modeling of zircon. Geology 44, 683–686. https://doi.org/10.1130/G37968.1</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/MeltFraction/MeltingParameterization.jl#L327-L362">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.SmoothMelting" href="#GeoParams.MeltingParam.SmoothMelting"><code>GeoParams.MeltingParam.SmoothMelting</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">SmoothMelting(; p=MeltingParam_4thOrder(), k_sol=0.2/K,  k_liq=0.2/K)</code></pre><p>This smoothens the melting parameterisation <span>$p$</span> around the solidus <span>$T_{sol}$</span> and liquidus <span>$T_{liq}$</span> using a smoothened Heaviside step functions for the solidus:</p><p class="math-container">\[    H_{sol} =  {1.0 \over { 1 + \exp( -2 k_{sol} (T - T_{sol} - {2 \over k_{sol}}) )  }}\]</p><p>and liquidus:</p><p class="math-container">\[    H_{liq} =  1.0 - {1.0 \over { 1 + \exp( -2 k_{liq} (T - T_{liq} + {2 \over k_{liq}}) )  }}\]</p><p>The resulting melt fraction <span>$\phi$</span> is computed from the original melt fraction <span>$\phi_0$</span> (computed using one of the methods above) as:</p><p class="math-container">\[    \phi =  \phi_0 H_{sol} H_{liq} + 1.0 - H_{liq}\]</p><p>The width of the smoothening zones is controlled by <span>$k_{sol}, k_{liq}$</span> (larger values = sharper boundary).</p><p>This is important, as jumps in the derivative <span>$dϕ/dT$</span> can cause numerical instabilities in latent heat computations, which is prevented with this smoothening.</p><p><strong>Example</strong></p><p>Let&#39;s consider a 4th order parameterisation:</p><pre><code class="language-julia hljs">julia&gt; using GLMakie, GeoParams
+julia&gt; p = MeltingParam_4thOrder();
+julia&gt; T= collect(650.0:1:1050.) .+ 273.15;
+julia&gt; T,phi,dϕdT =  PlotMeltFraction(p,T=T);</code></pre><p>The same but with smoothening:</p><pre><code class="language-julia hljs">julia&gt; p_s = SmoothMelting(p=MeltingParam_4thOrder(), k_liq=0.21/K);
+4th order polynomial melting curve: phi = -7.594512597174117e-10T^4 + 3.469192091489447e-6T^3 + -0.00592352980926T^2 + 4.482855645604745T + -1268.730161921053  963.15 K ≤ T ≤ 1270.15 K with smooth Heaviside function smoothening using k_sol=0.1 K⁻¹·⁰, k_liq=0.11 K⁻¹·⁰
+julia&gt; T_s,phi_s,dϕdT_s =  PlotMeltFraction(p_s,T=T);</code></pre><p>We can create plots of this with:</p><pre><code class="language-julia hljs">julia&gt; plt1 = plot(T.-273.15, phi, ylabel=&quot;Melt Fraction ϕ&quot;, color=:red, label=&quot;original&quot;, xlabel=&quot;Temperature [C]&quot;)
+julia&gt; plt1 = plot(plt1, T.-273.15, phi_s,  color=:black, label=&quot;smoothened&quot;, legend=:bottomright)
+julia&gt; plt2 = plot(T.-273.15, dϕdT, ylabel=&quot;dϕ/dT&quot;, color=:red, label=&quot;original&quot;, xlabel=&quot;Temperature [C]&quot;)
+julia&gt; plt2 = plot(plt2, T.-273.15, dϕdT_s,  color=:black, label=&quot;smoothened&quot;, legend=:topright)
+julia&gt; plot!(plt1,plt2,   xlabel=&quot;Temperature [C]&quot;, layout=(2,1))</code></pre><p>The derivative no longer has a jump now:</p><p><img src="../assets/img/MeltingParam_Smooth.png" alt="MeltingParam_Smooth"/></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/MeltFraction/MeltingParameterization.jl#L437-L488">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute the melt fraction at given <code>T</code> and <code>P</code>, use:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction!" href="#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_meltfraction!(ϕ::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T:AbstractArray{&lt;:AbstractFloat}, p::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/MeltFraction/MeltingParameterization.jl#L571-L575">source</a></section><section><div><pre><code class="nohighlight hljs">compute_meltfraction(ϕ::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/MeltFraction/MeltingParameterization.jl#L658-L662">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction" href="#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_meltfraction(P,T, p::AbstractPhaseDiagramsStruct)</code></pre><p>Computes melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/MeltFraction/MeltingParameterization.jl#L559-L563">source</a></section><section><div><pre><code class="nohighlight hljs">ϕ = compute_meltfraction(Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/MeltFraction/MeltingParameterization.jl#L651-L655">source</a></section></article><p>You can also obtain the derivative of melt fraction versus temperature with (useful to compute latent heat effects):</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_dϕdT!" href="#GeoParams.MeltingParam.compute_dϕdT!"><code>GeoParams.MeltingParam.compute_dϕdT!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_dϕdT!(ϕ::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computates the derivative of melt fraction <code>ϕ</code> versus temperature <code>T</code>, <span>${\partial \phi} \over {\partial T}$</span> for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This is employed, for example, in computing latent heat terms in an implicit manner.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/MeltFraction/MeltingParameterization.jl#L681-L686">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_dϕdT" href="#GeoParams.MeltingParam.compute_dϕdT"><code>GeoParams.MeltingParam.compute_dϕdT</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_dϕdT(P,T, p::AbstractPhaseDiagramsStruct)</code></pre><p>Computes derivative of melt fraction vs T in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified. The derivative is computed by finite differencing.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/MeltFraction/MeltingParameterization.jl#L578-L583">source</a></section><section><div><pre><code class="nohighlight hljs">ϕ = compute_dϕdT(Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computates the derivative of melt fraction ϕ versus temperature <code>T</code> for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This is employed in computing latent heat terms in an implicit manner, for example</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/MeltFraction/MeltingParameterization.jl#L673-L678">source</a></section></article><p>Also note that phase diagrams can be imported using <code>PerpleX_LaMEM_Diagram</code>, which may also have melt content information. The computational routines work with that as well.</p><h1 id="Plotting-routines"><a class="docs-heading-anchor" href="#Plotting-routines">Plotting routines</a><a id="Plotting-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting-routines" title="Permalink"></a></h1><p>You can use the routine <code>PlotMeltFraction</code> to create a plot, provided that the <code>GLMakie</code> package has been loaded</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotMeltFraction" href="#GeoParams.PlotMeltFraction"><code>GeoParams.PlotMeltFraction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">T,phi,plt = PlotMeltFraction(p::AbstractMeltingParam; T=nothing, plt=nothing, lbl=nothing)</code></pre><p>Creates a plot of temperature <code>T</code> vs. melt fraction, as specified in <code>p</code>. The 1D curve can be evaluated at a specific pressure <code>P</code> which can be given as a scalar or as an array of the same size as <code>T</code></p><p><strong>Optional parameters</strong></p><ul><li><code>T</code>: temperature range</li><li><code>P</code>: pressure</li><li><code>plt</code>: a previously generated plotting object</li><li><code>lbl</code>: label of the curve</li></ul><p><strong>Example</strong></p><pre><code class="nohighlight hljs">julia&gt; p          =  MeltingParam_Caricchi()
+julia&gt; T,phi,dϕdT =  PlotMeltFraction(p)</code></pre><p>you can now save the figure to disk with:</p><pre><code class="nohighlight hljs">julia&gt; using Plots
+julia&gt; savefig(plt,&quot;MeltFraction.png&quot;)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Plotting/Plotting.jl#L622-L645">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../gravity/">« Gravity</a><a class="docs-footer-nextpage" href="../TASclassification/">TAS classification »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 24 January 2024 13:04">Wednesday 24 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Nondimensionalization · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Nondimensionalization</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Nondimensionalization</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/nondimensionalize.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Nondimensionalization"><a class="docs-heading-anchor" href="#Nondimensionalization">Nondimensionalization</a><a id="Nondimensionalization-1"></a><a class="docs-heading-anchor-permalink" href="#Nondimensionalization" title="Permalink"></a></h1><p>Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between <code>GEO</code>, <code>SI</code> or <code>NO</code> units:</p><ul><li><code>SI</code> units assume all input and output is in <code>SI</code> units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).</li><li><code>GEO</code> units uses <code>SI</code> units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as <code>Myrs</code>,<code>km</code> or <code>MPa</code></li><li><code>NO</code> units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that <code>velocity</code> is given in <code>m/s</code>).</li></ul><p>A dimensional parameter can be transformed into a non-dimensional one with <code>nondimensionalize</code>.</p><h1 id="Specify-characteristic-values"><a class="docs-heading-anchor" href="#Specify-characteristic-values">Specify characteristic values</a><a id="Specify-characteristic-values-1"></a><a class="docs-heading-anchor-permalink" href="#Specify-characteristic-values" title="Permalink"></a></h1><p>Characteristic values can be defined in 3 ways.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units" href="#GeoParams.Units"><code>GeoParams.Units</code></a> — <span class="docstring-category">Module</span></header><section><div><pre><code class="language-julia hljs">This provides units and creates a non-dimensionalization object</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Units.jl#L1-L3">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.AbstractGeoUnit" href="#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><p>AbstractGeoUnit</p><p>Abstract supertype for geo units.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Units.jl#L96-L100">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnit" href="#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.
+
+Having that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.
+With the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Units.jl#L110-L117">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnits" href="#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">GeoUnits
+
+Structure that holds parameters used for non-dimensionalization</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Units.jl#L307-L311">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GEO_units" href="#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)</code></pre><p>Creates a non-dimensionalization object using GEO units.</p><p>GEO units implies that upon dimensionalization, <code>time</code> will be in <code>Myrs</code>, <code>length</code> in <code>km</code>, stress in <code>MPa</code>, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (<code>km</code> or <code>m</code>), provided the unit is specified.</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = GEO_units()
+Employing GEO units 
+Characteristic values: 
+         length:      1000 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C
+julia&gt; CharUnits.velocity
+1.0e-7 m s⁻¹</code></pre><p>If we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic <code>length</code>:</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = GEO_units(length=10km)
+Employing GEO units 
+Characteristic values: 
+         length:      10 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Units.jl#L359-L390">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.SI_units" href="#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)</code></pre><p>Specify the characteristic values using SI units </p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = SI_units(length=1000m)
+Employing SI units 
+Characteristic values: 
+         length:      1000 m
+         time:        1.0e19 s
+         stress:      10 Pa
+         temperature: 1000.0 K</code></pre><p>Note that the same can be achieved if the input is given in <code>km</code>:</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = SI_units(length=1km)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Units.jl#L429-L448">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.NO_units" href="#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)</code></pre><p>Specify the characteristic values in non-dimensional units</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GeoParams;
+julia&gt; CharUnits = NO_units()
+Employing NONE units 
+Characteristic values: 
+         length:      1
+         time:        1.0 
+         stress:      1
+         temperature: 1.0</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Units.jl#L487-L503">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_val" href="#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia hljs">This unpacks the numerical value of `GeoUnit` in a structure, without the units.
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_val ρ,α = r
+julia&gt; α
+4.0e-5
+julia&gt; typeof(α)
+Float64</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/unpack.jl#L4-L23">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_units" href="#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia hljs">This unpacks the numerical value with units of `GeoUnit` parameters in a structure
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_units ρ,α = r
+julia&gt; α
+4.0e-5 K⁻¹·⁰
+julia&gt; typeof(α)
+Quantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/unpack.jl#L46-L65">source</a></section></article><h1 id="(Non)-dimensionalize-parameters"><a class="docs-heading-anchor" href="#(Non)-dimensionalize-parameters">(Non)-dimensionalize parameters</a><a id="(Non)-dimensionalize-parameters-1"></a><a class="docs-heading-anchor-permalink" href="#(Non)-dimensionalize-parameters" title="Permalink"></a></h1><p>Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.nondimensionalize" href="#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">nondimensionalize(param, CharUnits::GeoUnits{TYPE})</code></pre><p>Nondimensionalizes <code>param</code> using the characteristic values specified in <code>CharUnits</code></p><p><strong>Example 1</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GeoParams;
+julia&gt; CharUnits =   GEO_units();
+julia&gt; v         =   3cm/yr
+3 cm yr⁻¹ 
+julia&gt; v_ND      =   nondimensionalize(v, CharUnits) 
+0.009506426344208684</code></pre><p><strong>Example 2</strong></p><p>In geodynamics one sometimes encounters more funky units</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits =   GEO_units();
+julia&gt; A         =   6.3e-2MPa^-3.05*s^-1
+0.063 MPa⁻³·⁰⁵ s⁻¹
+julia&gt; A_ND      =   nondimensionalize(A, CharUnits) 
+7.068716262102384e14</code></pre><p>In case you are interested to see how the units of <code>A</code> look like in different units, use this function from the <a href="https://github.com/PainterQubits/Unitful.jl">Unitful</a> package:</p><pre><code class="language-julia-repl hljs">julia&gt; uconvert(u&quot;Pa^-3.05*s^-1&quot;,A) 
+3.157479571851836e-20 Pa⁻³·⁰⁵</code></pre><p>and to see it decomposed in the basic <code>SI</code> units of length, mass and time:</p><pre><code class="language-julia-repl hljs">julia&gt; upreferred(A)
+3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Units.jl#L537-L571">source</a></section><section><div><pre><code class="nohighlight hljs">param = nondimensionalize(param::NTuple{N,Quantity}, g::GeoUnits{TYPE})</code></pre><p>nondimensionalizes a tuple of parameters    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Units.jl#L603-L607">source</a></section><section><div><pre><code class="nohighlight hljs">MatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Non-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p><p><strong></strong></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Units.jl#L640-L645">source</a></section><section><div><pre><code class="nohighlight hljs">nondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>nondimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Units.jl#L673-L677">source</a></section><section><div><pre><code class="nohighlight hljs">MatParam_ND = nondimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)</code></pre><p>Non-dimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Units.jl#L712-L717">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.dimensionalize" href="#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes <code>param</code> into the dimensions <code>param_dim</code> using the characteristic values specified in <code>CharUnits</code>.  </p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits =   GEO_units();
+julia&gt; v_ND      =   nondimensionalize(3cm/yr, CharUnits) 
+0.031688087814028945
+julia&gt; v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) 
+3.0 cm yr⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Units.jl#L724-L738">source</a></section><section><div><pre><code class="nohighlight hljs">dimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Units.jl#L759-L764">source</a></section><section><div><pre><code class="nohighlight hljs">Dimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>Dimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Units.jl#L792-L796">source</a></section><section><div><pre><code class="nohighlight hljs">dimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)</code></pre><p>dimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Units.jl#L839-L844">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.isDimensional" href="#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">isDimensional(MatParam::AbstractMaterialParam)</code></pre><p><code>true</code> if MatParam is in dimensional units.    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Units.jl#L851-L855">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../geounit/">« GeoUnit</a><a class="docs-footer-nextpage" href="../materialparameters/">Material Parameters »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 24 January 2024 13:04">Wednesday 24 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.4/man/phasediagrams/index.html b/v0.5.4/man/phasediagrams/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Phase Diagrams · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li class="is-active"><a class="tocitem" href>Phase Diagrams</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Perple_X"><span>Perple_X</span></a></li></ul></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Phase Diagrams</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Phase Diagrams</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/phasediagrams.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Phase-Diagrams"><a class="docs-heading-anchor" href="#Phase-Diagrams">Phase Diagrams</a><a id="Phase-Diagrams-1"></a><a class="docs-heading-anchor-permalink" href="#Phase-Diagrams" title="Permalink"></a></h1><p>It is possible to employ phase diagrams as lookup tables, which can be used to compute density, melt fraction or seismic properties, for example. </p><h1 id="Perple_X"><a class="docs-heading-anchor" href="#Perple_X">Perple_X</a><a id="Perple_X-1"></a><a class="docs-heading-anchor-permalink" href="#Perple_X" title="Permalink"></a></h1><p>A popular way to compute phase diagrams (pseudosections) for a given (fixed) chemical composition as a function of pressure and temperature is by using <a href="https://www.perplex.ethz.ch">Perple_X</a>. Once a stable assemblage is computed, through Gibbs energy minimisation, it allows you to output a large number of properties such as density, melt fraction or seismic velocities.</p><p>Within GeoParams, we can import this diagram (provided it is formatted in the same manner as <code>LaMEM</code> expects <code>Perple_X</code> input to be).</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PerpleX_LaMEM_Diagram" href="#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">PD_Data = PerpleX_LaMEM_Diagram(fname::String; CharDim = nothing)</code></pre><p>Reads a precomputed phase diagram in the <code>LaMEM/Perple_X</code> format (which is a phase diagram computed using <code>Perple_X</code>, but formatted in a manner that is readable using LaMEM). The data is stored in the <code>PhaseDiagram_LookupTable</code> structure.</p><p>If the <code>CharDim</code> object is specified, the values of all diagrams will be non-dimensionalized.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; PD_Data = PerpleX_LaMEM_Diagram(&quot;./test_data/Peridotite.in&quot;)
+Perple_X/LaMEM Phase Diagram Lookup Table: 
+                      File    :   ./test_data/Peridotite.in
+                      T       :   293.0 - 1573.000039
+                      P       :   1.0e7 - 2.9999999944e9
+                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp
+                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs
+                                  :Vp, :Vs, :VpVs</code></pre><p>Once imported, the properties on the diagram can be interpolated in a simple manner:</p><pre><code class="nohighlight hljs">julia&gt; PD_Data.Rho(1500,1e7)
+3042.836820256982</code></pre><p>This also works for vectors or arrays:</p><pre><code class="language-julia hljs">julia&gt; T = [1500 1800; 1233 1300]
+julia&gt; P = [1e8 1e9; 1e7 1e7]
+julia&gt; rho = PD_Data.Rho.(T,P)</code></pre><p>(Note the dot <code>.</code> in front of the bracket while evaluating arrays).</p><p>The fields that are available depend on what is listed in the diagram file.  The units of the fields are automatically evaluated, and employed to non-dimensionalize the parameters if <code>CharDim</code> is specified. </p><p><strong>Algorithm</strong></p><p>Internally, we employ linear interpolation, as provided by the <a href="https://github.com/JuliaMath/Interpolations.jl">Interpolations.jl</a> package. Values outside the range of the diagram are set to the boundary of the diagram. The interpolation object is directly encoded in the <code>PhaseDiagram_LookupTable</code>` object.  </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/PhaseDiagrams/PhaseDiagrams.jl#L44-L85">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable" href="#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Contains data of a Phase Diagram that is regularly spaced in P &amp; T</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/PhaseDiagrams/PhaseDiagrams.jl#L14-L16">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../zirconages/">« Zircon Ages</a><a class="docs-footer-nextpage" href="../seismicvelocity/">Seismic Velocity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 24 January 2024 13:04">Wednesday 24 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.4/man/plasticity/index.html b/v0.5.4/man/plasticity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Plasticity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li class="is-active"><a class="tocitem" href>Plasticity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Implemented-laws"><span>Implemented laws</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Plasticity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Plasticity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/plasticity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Plasticity"><a class="docs-heading-anchor" href="#Plasticity">Plasticity</a><a id="Plasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Plasticity" title="Permalink"></a></h1><p>Plasticity is a non-linear rheology that is activated once stresses exceed a certain yield criteria.</p><h1 id="Implemented-laws"><a class="docs-heading-anchor" href="#Implemented-laws">Implemented laws</a><a id="Implemented-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-laws" title="Permalink"></a></h1><p>The following plastic law are implemented:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.Plasticity.DruckerPrager</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.Plasticity.DruckerPrager_regularised</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>Usually, plasticity should be defined as part of a <code>CompositeRheology</code> structure and calculations can be done as with all other rheology computations by using <code>compute_τII</code>.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../elasticity/">« Elasticity</a><a class="docs-footer-nextpage" href="../heatcapacity/">Heat Capacity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 24 January 2024 13:04">Wednesday 24 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.4/man/plotting/index.html b/v0.5.4/man/plotting/index.html
new file mode 100644
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Plotting · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li class="is-active"><a class="tocitem" href>Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Plotting</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Plotting</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/plotting.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Plotting"><a class="docs-heading-anchor" href="#Plotting">Plotting</a><a id="Plotting-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting" title="Permalink"></a></h1><p>We provide a number of plotting routines. Note that these plotting routines only become available once the <code>GLMakie</code> package is loaded.</p><h3 id="Plot-CreepLaws"><a class="docs-heading-anchor" href="#Plot-CreepLaws">Plot CreepLaws</a><a id="Plot-CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#Plot-CreepLaws" title="Permalink"></a></h3><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotStressStrainrate_CreepLaw</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotHeatCapacity" href="#GeoParams.PlotHeatCapacity"><code>GeoParams.PlotHeatCapacity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">T,Cp,plt = PlotHeatCapacity(cp::AbstractHeatCapacity; T=nothing, plt=nothing, lbl=nothing)</code></pre><p>Creates a plot of temperature <code>T</code> vs. heat capacity, as specified in cp (which can be temperature-dependent).</p><p><strong>Optional parameters</strong></p><ul><li>T: temperature range</li><li>plt: a previously generated plotting object</li><li>lbl: label of the curve</li></ul><p><strong>Example</strong></p><pre><code class="nohighlight hljs">julia&gt; cp = T_HeatCapacity_Whittacker()
+julia&gt; T,Cp,plt = PlotHeatCapacity(cp)</code></pre><p>you can now save the figure to disk with:</p><pre><code class="nohighlight hljs">julia&gt; using Plots
+julia&gt; savefig(plt,&quot;Tdependent_heatcapacity.png&quot;)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Plotting/Plotting.jl#L522-L543">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotConductivity" href="#GeoParams.PlotConductivity"><code>GeoParams.PlotConductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">T,Kk,plt = PlotConductivity(cp::AbstractConductivity; T=nothing, plt=nothing, lbl=nothing)</code></pre><p>Creates a plot of temperature <code>T</code> vs. thermal conductivity, as specified in <code>k</code> (which can be temperature-dependent).</p><p><strong>Optional parameters</strong></p><ul><li><code>T</code>: temperature range</li><li><code>plt</code>: a previously generated plotting object</li><li><code>lbl</code>: label of the curve</li></ul><p><strong>Example</strong></p><pre><code class="nohighlight hljs">julia&gt; k = T_Conductivity_Whittacker()
+julia&gt; T,KK,plt = PlotConductivity(k)</code></pre><p>you can now save the figure to disk with:</p><pre><code class="nohighlight hljs">julia&gt; using Plots
+julia&gt; savefig(plt,&quot;Tdependent_conductivity.png&quot;)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Plotting/Plotting.jl#L567-L588">source</a></section></article><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotMeltFraction</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotPhaseDiagram" href="#GeoParams.PlotPhaseDiagram"><code>GeoParams.PlotPhaseDiagram</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">plt, data, Tvec, Pvec = PlotPhaseDiagram(p::PhaseDiagram_LookupTable; fieldname::Symbol, Tvec=nothing, Pvec=nothing)</code></pre><p>Plots a phase diagram as a function of <code>T</code> (x-axis) and <code>P</code> (y-axis). We either use the default ranges of the diagram, or you can specify the temperature and pressure ranges (while specifying units). The return arguments are the plotting object <code>plt</code> (so you can modify properties) as well as the data that is being plotted</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; PD_data =  Read_LaMEM_Perple_X_Diagram(&quot;Peridotite.in&quot;)
+Perple_X/LaMEM Phase Diagram Lookup Table:
+                      File    :   Peridotite.in
+                      T       :   293.0 - 1573.000039
+                      P       :   1.0e7 - 2.9999999944e9
+                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp
+                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs
+                                  :Vp, :Vs, :VpVs, :cpxFrac
+julia&gt; PlotPhaseDiagram(PD_data,:meltFrac, Tvec=(100:1:1400).*C, Pvec=(.1:.1:30).*kbar )</code></pre><p>This will generate the following plot <img src="../assets/img/PhaseDiagram.png" alt="subet2"/></p><p>You can also use the default pressure/temperature ranges in the diagrams:</p><pre><code class="language-julia hljs">julia&gt; PlotPhaseDiagram(PD_data,:Rho)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Plotting/Plotting.jl#L681-L709">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotDeformationMap" href="#GeoParams.PlotDeformationMap"><code>GeoParams.PlotDeformationMap</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">fig = PlotDeformationMap(v;    args=(P=0.0, d=1e-3, f=1.0),
+                            σ = (1e-2, 1e8),                # in MPa
+                            T = (10, 1000),                 # in C
+                            ε = (1e-22, 1e-8),              # in 1/s
+                            n = 400,                        # number of points
+                            rotate_axes = false,            # flip x &amp; y axes
+                            strainrate = true,              # strainrate (otherwise stress)
+                            viscosity = false,              # plot viscosity instead of strainrate/stress
+                            boundaries = true,              # plot deformation boundaries
+                            levels = 20,                    # number of contour levels
+                            colormap=:viridis,              # colormap
+                            filename=nothing,               # if you want to save this to file
+                            fontsize=40,                    # fontsize of labels
+                            res=(1200, 900))                # resolution in pixels</code></pre><p>Creates a deformation mechanism map (T/εII vs. stress/viscosity or T/τII vs. strainrate/viscosity) for given (composite) rheology <code>v</code></p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; v1 = SetDiffusionCreep(&quot;Dry Anorthite | Rybacki et al. (2006)&quot;)
+julia&gt; v2 = SetDislocationCreep(&quot;Dry Anorthite | Rybacki et al. (2006)&quot;)
+julia&gt; v=CompositeRheology(v1,v2)
+julia&gt; PlotDeformationMap(v, levels=100, colormap=:roma)</code></pre><p>Next, let&#39;s plot viscosity and flip x &amp; y axis:</p><pre><code class="language-julia hljs">julia&gt; PlotDeformationMap(v, viscosity=true, rotate_axes=true)</code></pre><p>Instead of plotting stress vs. T and computing strainrate, we can also provide strainrate/T and compute stress:</p><pre><code class="language-julia hljs">julia&gt; PlotDeformationMap(v, strainrate=false)</code></pre><p>Or plot viscosity but only add contours in a certain range:</p><pre><code class="language-julia hljs">julia&gt; PlotDeformationMap(v,  strainrate=false, viscosity=true, levels=Vector(18:.25:24))</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Plotting/Plotting.jl#L915-L953">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../strengthenvelope/">« 1D Strength Envelope</a><a class="docs-footer-nextpage" href="../listfunctions/">List of functions »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 24 January 2024 13:04">Wednesday 24 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.4/man/radioactiveheating/index.html b/v0.5.4/man/radioactiveheating/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Radioactive heat · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li class="is-active"><a class="tocitem" href>Radioactive heat</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Radioactive heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Radioactive heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/radioactiveheating.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Radioactive-heat"><a class="docs-heading-anchor" href="#Radioactive-heat">Radioactive heat</a><a id="Radioactive-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Radioactive-heat" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Radioactive heat sources are defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat" href="#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)</code></pre><p>Set a constant radioactive heat:</p><p class="math-container">\[    H_r  = cst\]</p><p>where <span>$H_r$</span> is the radioactive heat source [<span>$Watt/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Energy/RadioactiveHeat.jl#L23-L31">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat" href="#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ExpDepthDependent(H_0=1e-6Watt/m^3, h_r=10e3m, z_0=0m)</code></pre><p>Sets an exponential depth-dependent radioactive </p><p class="math-container">\[    H_r  = H_0 \exp \left( {- {(z - z_0) \over h_r}} \right)\]</p><p>where <span>$H_0$</span> is the radioactive heat source [<span>$Watt/m^3$</span>] at <span>$z=z_0$</span> which decays with depth over a characteristic distance <span>$h_r$</span>.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Energy/RadioactiveHeat.jl#L63-L71">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat!</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../latentheat/">« Latent heat</a><a class="docs-footer-nextpage" href="../shearheating/">Shear heating »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 24 January 2024 13:04">Wednesday 24 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.4/man/seismicvelocity/index.html b/v0.5.4/man/seismicvelocity/index.html
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+<!DOCTYPE html>
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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li class="is-active"><a class="tocitem" href>Seismic Velocity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-velocity-correction-for-partial-melt"><span>Seismic velocity correction for partial melt</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-2"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-2"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity"><span>Seismic S-wave velocity correction for (shallow depth) porosity</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-3"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-3"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-velocity-correction-for-anelasticity"><span>Seismic velocity correction for anelasticity</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-4"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-4"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Seismic Velocity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Seismic Velocity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/seismicvelocity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Seismic-velocity"><a class="docs-heading-anchor" href="#Seismic-velocity">Seismic velocity</a><a id="Seismic-velocity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Seismic velocity can specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity" href="#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)</code></pre><p>Set a constant seismic P and S-wave velocity:</p><p class="math-container">\[    V_p = cst\]</p><p class="math-container">\[    V_s = cst\]</p><p>where <span>$V_p, V_s$</span> are the P-wave and S-wave velocities [<span>$km/s$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/SeismicVelocity/SeismicVelocity.jl#L35-L46">source</a></section></article><p>In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.</p><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To evaluate seismic velocity within a user routine, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_swave_velocity!</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_pwave_velocity!</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_pwave_velocity</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_swave_velocity</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-velocity-correction-for-partial-melt"><a class="docs-heading-anchor" href="#Seismic-velocity-correction-for-partial-melt">Seismic velocity correction for partial melt</a><a id="Seismic-velocity-correction-for-partial-melt-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity-correction-for-partial-melt" title="Permalink"></a></h1><h1 id="Methods-2"><a class="docs-heading-anchor" href="#Methods-2">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-2" title="Permalink"></a></h1><p>The routine uses the reduction formulation of Clark et al., (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.</p><h1 id="Computational-routines-2"><a class="docs-heading-anchor" href="#Computational-routines-2">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-2" title="Permalink"></a></h1><p>To compute melt-content based correction for seismic waves velocities, you can use:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.melt_correction</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity"><a class="docs-heading-anchor" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity">Seismic S-wave velocity correction for (shallow depth) porosity</a><a id="Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity" title="Permalink"></a></h1><h1 id="Methods-3"><a class="docs-heading-anchor" href="#Methods-3">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-3" title="Permalink"></a></h1><p>This routine is based on the equilibrium geometry model for the solid skeleton of Takei et al. (1998) and the porosity-depth empirical relationship of Chen et al. (2020)</p><h1 id="Computational-routines-3"><a class="docs-heading-anchor" href="#Computational-routines-3">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-3" title="Permalink"></a></h1><p>To compute porosity based correction for seismic S-wave velocity, you can use:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.porosity_correction</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-velocity-correction-for-anelasticity"><a class="docs-heading-anchor" href="#Seismic-velocity-correction-for-anelasticity">Seismic velocity correction for anelasticity</a><a id="Seismic-velocity-correction-for-anelasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity-correction-for-anelasticity" title="Permalink"></a></h1><h1 id="Methods-4"><a class="docs-heading-anchor" href="#Methods-4">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-4" title="Permalink"></a></h1><p>The routine uses the reduction formulation of karato (1993), using the quality factor formulation from Behn et al. (2009)</p><h1 id="Computational-routines-4"><a class="docs-heading-anchor" href="#Computational-routines-4">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-4" title="Permalink"></a></h1><p>To compute a correction of S-wave velocity for anelasticity, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction" href="#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">    Vs_anel = anelastic_correction(water::Int64, Vs0::Float64,P::Float64,T::Float64)</code></pre><p>This routine computes a correction of S-wave velocity for anelasticity</p><p><strong>Input:</strong></p><ul><li><code>water</code>: water flag, 0 = dry; 1 = dampened; 2 = water saturated </li><li><code>Vs0</code>  : S-wave velocitiy of the solid phase (with or without melt correction)</li><li><code>P</code>    : pressure given in Pa</li><li><code>T</code>    : temperature given in °K</li></ul><p><strong>Output:</strong></p><ul><li><code>Vs_anel</code> : corrected S-wave velocity for anelasticity</li></ul><p>The routine uses the reduction formulation of Karato (1993), using the quality factor formulation from Behn et al. (2009)</p><p><strong>References:</strong></p><ul><li><p>Karato, S. I. (1993). Importance of anelasticity in the interpretation of seismic tomography. Geophysical research letters, 20(15), 1623-1626.</p></li><li><p>Behn, M. D., Hirth, G., &amp; Elsenbeck II, J. R. (2009). Implications of grain size evolution on the seismic structure of the oceanic upper mantle. Earth and Planetary Science Letters, 282(1-4), 178-189.</p></li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/SeismicVelocity/SeismicVelocity.jl#L354-L381">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../phasediagrams/">« Phase Diagrams</a><a class="docs-footer-nextpage" href="../strengthenvelope/">1D Strength Envelope »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 24 January 2024 13:04">Wednesday 24 January 2024</span>. 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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Shear heating · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li class="is-active"><a class="tocitem" href>Shear heating</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Shear heating</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Shear heating</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/shearheating.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Shear-heating"><a class="docs-heading-anchor" href="#Shear-heating">Shear heating</a><a id="Shear-heating-1"></a><a class="docs-heading-anchor-permalink" href="#Shear-heating" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Heat caused by non-recoverable deformation can be specified in </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.ConstantShearheating" href="#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantShearheating(Χ=0.0NoUnits)</code></pre><p>Set the shear heating efficiency [0-1] parameter</p><p class="math-container">\[Χ  = cst\]</p><p>where <span>$\Chi$</span> is the shear heating efficiency [NoUnits]</p><p>Shear heating is computed as</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}(\dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Energy/Shearheating.jl#L23-L37">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">H_s = compute_shearheating(s:&lt;AbstractShearheating, τ, ε, ε_el)</code></pre><p>Computes the shear heating source term</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Energy/Shearheating.jl#L89-L104">source</a></section><section><div><pre><code class="nohighlight hljs">H_s = ComputeShearheating(s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij}\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Energy/Shearheating.jl#L107-L120">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating!" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_shearheating!(H_s, s:&lt;AbstractShearheating,  τ, ε, ε_el)</code></pre><p>Computes the shear heating source term in-place</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul><p><em>NOTE:</em> The shear heating terms require the full deviatoric stress &amp; strain rate tensors, i.e.:</p><p class="math-container">\[2D: \tau_{ij} = \left(
+                \begin{matrix}
+                    \tau_{xx} &amp; \tau_{xz} \\
+                    \tau_{zx} &amp; \tau_{zz}
+                \end{matrix}
+            \right)\]</p><p>Since <span>$\tau_{zx}=\tau_{xz}$</span>, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used!</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Energy/Shearheating.jl#L125-L152">source</a></section><section><div><pre><code class="nohighlight hljs">compute_shearheating!(H_s, s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term <code>H_s</code> in-place when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij}\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Energy/Shearheating.jl#L155-L168">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../radioactiveheating/">« Radioactive heat</a><a class="docs-footer-nextpage" href="../gravity/">Gravity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 24 January 2024 13:04">Wednesday 24 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.4/man/strengthenvelope/index.html b/v0.5.4/man/strengthenvelope/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>1D Strength Envelope · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li class="is-active"><a class="tocitem" href>1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>1D Strength Envelope</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>1D Strength Envelope</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/strengthenvelope.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="D-Strength-envelope"><a class="docs-heading-anchor" href="#D-Strength-envelope">1D Strength envelope</a><a id="D-Strength-envelope-1"></a><a class="docs-heading-anchor-permalink" href="#D-Strength-envelope" title="Permalink"></a></h1><p>We provide a routine for computing a 1D strength envelope and the tools for setting up a temperature structure and lithostatic pressure profile.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ConstTemp" href="#GeoParams.ConstTemp"><code>GeoParams.ConstTemp</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstTemp(T=1000)</code></pre><p>Sets a constant temperature inside the box</p><p>Parameters:</p><ul><li>T : the value</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/StrengthEnvelope/StrengthEnvelope.jl#L8-L15">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.LinTemp" href="#GeoParams.LinTemp"><code>GeoParams.LinTemp</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">LinTemp(Ttop=0, Tbot=1000)</code></pre><p>Sets a linear temperature structure from top to bottom</p><p>Parameters:</p><ul><li>Ttop: the value @ the top</li><li>Tbot: the value @ the bottom</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/StrengthEnvelope/StrengthEnvelope.jl#L33-L41">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.HalfspaceCoolTemp" href="#GeoParams.HalfspaceCoolTemp"><code>GeoParams.HalfspaceCoolTemp</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">HalfspaceCoolTemp(Tsurface=0, Tmantle=1350, Age=60, Adiabat=0)</code></pre><p>Sets a halfspace temperature structure in plate</p><p>Parameters:</p><ul><li>Tsurface: surface temperature [C]</li><li>Tmantle:  mantle temperature [C]</li><li>Age:      Thermal Age of plate [Myrs]</li><li>Adiabat:  Mantle Adiabat [K/km]</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/StrengthEnvelope/StrengthEnvelope.jl#L57-L67">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.CompTempStruct" href="#GeoParams.CompTempStruct"><code>GeoParams.CompTempStruct</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CompTempStruct(Z, s::AbstractTempStruct)</code></pre><p>Returns a temperature vector that matches the coordinate vector and temperature structure that were passed in</p><p>Parameters:</p><ul><li>Z: vector with depth coordinates</li><li>s: Temperature structure (CostTemp, LinTemp, HalfspaceCoolTemp)</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/StrengthEnvelope/StrengthEnvelope.jl#L21-L29">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.LithPres" href="#GeoParams.LithPres"><code>GeoParams.LithPres</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">LithPres(MatParam, Phases, ρ, T, dz, g)</code></pre><p>Iteratively solves a 1D lithostatic pressure profile (compatible with temperature- and pressure-dependent densities)</p><p>Parameters:</p><ul><li>MatParam: a tuple of materials (including the following properties: Phase, Density)</li><li>Phases:   vector with the distribution of phases</li><li>ρ:        density vector for initial guess(can be zeros)</li><li>T:        temperature vector</li><li>dz:       grid spacing</li><li>g:        gravitational acceleration</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/StrengthEnvelope/StrengthEnvelope.jl#L89-L101">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.StrengthEnvelopeComp" href="#GeoParams.StrengthEnvelopeComp"><code>GeoParams.StrengthEnvelopeComp</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">StrengthEnvelopeComp(MatParam::NTuple{N, AbstractMaterialParamsStruct}, Thickness::Vector{U}, TempType::AbstractTempStruct=LinTemp(0C, 800C), ε=1e-15/s, nz::Int64=101) where {N, U}</code></pre><p>Calculates a 1D strength envelope. Pressure used for Drucker Prager plasticity is lithostatic. To visualize the results in a GUI, use StrengthEnvelopePlot.</p><p>Parameters:</p><ul><li>MatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)</li><li>Thickness: a vector listing the thicknesses of the respective layers (should carry units)</li><li>TempType:  the type of temperature profile (ConstTemp(), LinTemp(), HalfspaceCoolTemp())</li><li>ε:         background strainrate</li><li>nz:        optional argument controlling the number of points along the profile (default = 101)</li></ul><p><strong>Example:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GLMakie
+julia&gt; MatParam = (SetMaterialParams(Name=&quot;UC&quot;, Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(&quot;Wet Quartzite | Ueda et al. (2008)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;MC&quot;, Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(&quot;Plagioclase An75 | Ji and Zhao (1993)&quot;), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;LC&quot;, Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(&quot;Maryland strong diabase | Mackwell et al. (1998)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));
+julia&gt; Thickness = [15,10,15]*km;
+
+julia&gt; StrengthEnvelopeComp(MatParam, Thickness, LinTemp(), ε=1e-15/s)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/StrengthEnvelope/StrengthEnvelope.jl#L165-L187">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.StrengthEnvelopePlot" href="#GeoParams.StrengthEnvelopePlot"><code>GeoParams.StrengthEnvelopePlot</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">StrengthEnvelopePlot(MatParam, Thickness; TempType, nz)</code></pre><p>Requires GLMakie</p><p>Creates a GUI that plots a 1D strength envelope. In the GUI, temperature profile and strain rate can be adjusted. The Drucker-Prager plasticity uses lithostatic pressure.</p><p>Parameters:</p><ul><li>MatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)</li><li>Thickness: a vector listing the thicknesses of the respective layers (should carry units)</li><li>TempType:  the type of temperature profile (LinTemp=default, HalfspaceCoolTemp, ConstTemp)</li><li>nz:        optional argument controlling the number of points along the profile (default = 101)</li></ul><p><strong>Example:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GLMakie
+julia&gt; MatParam = (SetMaterialParams(Name=&quot;UC&quot;, Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(&quot;Wet Quartzite | Ueda et al. (2008)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;MC&quot;, Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(&quot;Plagioclase An75 | Ji and Zhao (1993)&quot;), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;LC&quot;, Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(&quot;Maryland strong diabase | Mackwell et al. (1998)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));
+julia&gt; Thickness = [15,10,15]*km;
+
+julia&gt; StrengthEnvelopePlot(MatParam, Thickness, LinTemp())</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/StrengthEnvelope/StrengthEnvelope.jl#L232-L255">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../seismicvelocity/">« Seismic Velocity</a><a class="docs-footer-nextpage" href="../plotting/">Plotting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 24 January 2024 13:04">Wednesday 24 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Tables</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Tables</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/tables.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Tables"><a class="docs-heading-anchor" href="#Tables">Tables</a><a id="Tables-1"></a><a class="docs-heading-anchor-permalink" href="#Tables" title="Permalink"></a></h1><p>There are two different formats of output tables that can be produced:</p><ul><li>LaTeX (always comes with &quot;References.bib&quot; for citations)</li><li>Markdown</li></ul><h1 id="Producing-output-table"><a class="docs-heading-anchor" href="#Producing-output-table">Producing output table</a><a id="Producing-output-table-1"></a><a class="docs-heading-anchor-permalink" href="#Producing-output-table" title="Permalink"></a></h1><p><code>ParameterTable()</code> is used to produce an output table of all the material parameters in your phase(s) in LaTeX or Markdown format. All you need is a dimensional <code>phase</code> as defined in section 2. Material Parameters in the README.md of GeoParams. This <code>phase</code> should be given to <code>ParameterTable</code> as first argument. There are optional arguments which can be given in <code>ParameterTable</code>. Those are <code>format</code>, <code>filename</code> and <code>rdigits</code>. The <code>format</code> keyword determines whether your table should be in <code>LaTeX</code> or <code>Markdown</code> format (should be given as string). <code>filename</code> determines the name of the file but can also be used to save the file in a different directory other than the GeoParams package directory (should be given as string, note: no file endings needed since they will be determined by the <code>format</code> keyword!). <code>rdigits</code> gives the numbers of decimals to which all parameter values will be rounded (should be given as integer).</p><p>Example 1:</p><pre><code class="language-julia hljs">julia&gt; MatParam = SetMaterialParams(Name=&quot;Viscous Matrix&quot;, Phase=1,
+                                     Density   = ConstantDensity(),
+                                     CreepLaws = LinearViscous(η=1e23Pa*s))
+
+julia&gt; ParameterTable(MatParam, format=&quot;tex&quot;, filename=&quot;ParameterTable&quot;, rdigits=4)</code></pre><p><img src="../assets/img/LaTeX_table.PNG" alt="latex"/></p><p>Example 2:</p><pre><code class="language-julia hljs">julia&gt; ParameterTable(MatParam, format=&quot;md&quot;, filename=&quot;ParameterTable&quot;, rdigits=4)</code></pre><p><img src="../assets/img/markdown_table.PNG" alt="markdown"/></p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.ParameterTable" href="#GeoParams.Tables.ParameterTable"><code>GeoParams.Tables.ParameterTable</code></a> — <span class="docstring-category">Function</span></header><section><div><p>ParameterTable() creates a table with all parameters saved in the Phase struct. It lets you choose between &quot;latex&quot; and &quot;markdown&quot; as table formats with LaTeX as default. Creates a filename.tex or filename.md file as output. If &quot;latex&quot; is chosen a &quot;Reference.bib&quot; file will automatically be produced with all your references. Storage path by default is the GeoParams package folder. A specific storage path can be given as normal path with &quot;\filename&quot; in the end as a string. Use double backslash for subfolders. There is no file extension needed to be given.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Tables.jl#L1172-L1177">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.Phase2Dict" href="#GeoParams.Tables.Phase2Dict"><code>GeoParams.Tables.Phase2Dict</code></a> — <span class="docstring-category">Function</span></header><section><div><p>Phase2Dict() puts all parameters of a phase s in a dict.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Tables.jl#L32-L34">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.Phase2DictMd" href="#GeoParams.Tables.Phase2DictMd"><code>GeoParams.Tables.Phase2DictMd</code></a> — <span class="docstring-category">Function</span></header><section><div><p>Phase2DictMd() puts all parameters of a phase in a dict.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Tables.jl#L659-L662">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.Dict2LatexTable" href="#GeoParams.Tables.Dict2LatexTable"><code>GeoParams.Tables.Dict2LatexTable</code></a> — <span class="docstring-category">Function</span></header><section><div><p>Dict2LatexTable() writes a .tex file with all parameters from the Phase2Dict() output in a LaTeX table. rdigits will round numbers with more decimals than rdigits including numbers of 10 to power of n, n being an Integer, for representation purposes. For the exact numbers use the original implemented numbers from the creeplaws of the dict in src/CreepLaw/Data/DiffusionCreep.jl or src/CreepLaw/Data/DislocationCreep.jl.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Tables.jl#L387-L393">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.Dict2MarkdownTable" href="#GeoParams.Tables.Dict2MarkdownTable"><code>GeoParams.Tables.Dict2MarkdownTable</code></a> — <span class="docstring-category">Function</span></header><section><div><p>Dict2MarkdownTable() writes a .md file with all parameters from the Phase2DictMd() output in a Markdown table. rdigits will round numbers with more decimals than rdigits including numbers of 10 to power of n, n being an Integer, for representation purposes. For the exact numbers use the original implemented numbers from the creeplaws of the dict in src/CreepLaw/Data/DiffusionCreep.jl or src/CreepLaw/Data/DislocationCreep.jl.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Tables.jl#L987-L992">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.detachFloatfromExponent" href="#GeoParams.Tables.detachFloatfromExponent"><code>GeoParams.Tables.detachFloatfromExponent</code></a> — <span class="docstring-category">Function</span></header><section><div><p>detachFloatfromExponent() returns the number of float decimals after the comma as Integer, the float number without the exponent as string  and the exponent after the &quot;e&quot; as string. The argument output returns &quot;1&quot; for &quot;ex&quot; if the input number has no exponent.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Tables.jl#L11-L17">source</a></section></article></article><nav class="docs-footer"><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 24 January 2024 13:04">Wednesday 24 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.4/man/viscosity/index.html b/v0.5.4/man/viscosity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Viscosity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Viscosity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Viscosity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/viscosity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Effective-viscosity-computations"><a class="docs-heading-anchor" href="#Effective-viscosity-computations">Effective viscosity computations</a><a id="Effective-viscosity-computations-1"></a><a class="docs-heading-anchor-permalink" href="#Effective-viscosity-computations" title="Permalink"></a></h1><article class="docstring"><header><a class="docstring-binding" id="GeoParams.compute_viscosity_εII" href="#GeoParams.compute_viscosity_εII"><code>GeoParams.compute_viscosity_εII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_viscosity_εII(s::AbstractConstitutiveLaw, εII, kwargs...)</code></pre><p>Compute effective viscosity given a 2nd invariant of the deviatoric strain rate tensor, extra parameters are passed as a named tuple, e.g., (;T=T) </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Viscosity/Viscosity.jl#L13-L17">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.compute_viscosity_τII" href="#GeoParams.compute_viscosity_τII"><code>GeoParams.compute_viscosity_τII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_viscosity_τII(s::AbstractConstitutiveLaw, τII, kwargs...)</code></pre><p>Compute effective viscosity given a 2nd invariant of the deviatoric stress tensor and, extra parameters are passed as a named tuple, e.g., (;T=T) </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/Viscosity/Viscosity.jl#L26-L30">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" 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January 2024 13:04">Wednesday 24 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.4/man/zirconages/index.html b/v0.5.4/man/zirconages/index.html
new file mode 100644
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Zircon Ages · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li class="is-active"><a class="tocitem" href>Zircon Ages</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Zircon Ages</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Zircon Ages</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/zirconages.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Zircon-age-parameterizations"><a class="docs-heading-anchor" href="#Zircon-age-parameterizations">Zircon age parameterizations</a><a id="Zircon-age-parameterizations-1"></a><a class="docs-heading-anchor-permalink" href="#Zircon-age-parameterizations" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Zircons are one of the ways in which we can date the age &amp; activity of magmatic systems. Here, we provide a computational routine that computes the zircon age distribution from temperature-time paths</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.ZirconAgeData" href="#GeoParams.ZirconAges.ZirconAgeData"><code>GeoParams.ZirconAges.ZirconAgeData</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ZirconAgeData</code></pre><p>Struct that holds default parameters for the calculations</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/ZirconAge/ZirconAges.jl#L27-L31">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>There is one main routine with which you can compute zircon age probability density functions from a range of temperature-ime paths:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.compute_zircon_age_PDF" href="#GeoParams.ZirconAges.compute_zircon_age_PDF"><code>GeoParams.ZirconAges.compute_zircon_age_PDF</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">time_Ma, PDF_zircons, time_Ma_average, PDF_zircon_average, time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF = compute_zircon_age_PDF(time_years_vecs::Vector{Vector}, Tt_paths_Temp_vecs::Vector{Vector}; ZirconData::ZirconAgeData = ZirconAgeData(), bandwidth=bandwidth, n_analyses=300)</code></pre><p>This computes the PDF (probability density function) with zircon age data from Vectors with Tt-paths	</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/ZirconAge/ZirconAges.jl#L296-L301">source</a></section></article><p>This, in turn, calls two other routines:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.compute_zircons_Ttpath" href="#GeoParams.ZirconAges.compute_zircons_Ttpath"><code>GeoParams.ZirconAges.compute_zircons_Ttpath</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF =  compute_zircons_Ttpath(time_years::AbstractArray{Float64,1}, Tt_paths_Temp::AbstractArray{Float64,2}; ZirconData::ZirconAgeData)</code></pre><p>This computes the number of zircons produced from a series of temperature-time path&#39;s.  The Tt-paths are stored in a 2D matrix <code>Tt_paths_Temp</code> with rows being the temperature at time <code>time_years</code>.</p><p><strong>Input:</strong></p><ul><li><code>time_years</code> : vector of length <code>nt</code> with the time in years (since the beginning of the simulation) of the points provided</li><li><code>Tt_paths_Temp</code> : array of size <code>(nt,npaths)</code>` with the temperature of every path.</li></ul><p>Output:</p><ul><li><code>prob</code> : a vector that gives the relative probability that a zircon with a given age exists</li><li><code>ages_eruptible</code> : age of eruptble magma</li><li><code>number_zircons</code> : 1D array of size <code>(nt,)</code></li><li><code>T_av_time</code>: vector of size <code>nt</code> that contains the average T of the paths</li><li><code>T_sd_time</code>: vector of size <code>nt</code> that contains the standard deviation of the T of the paths</li><li><code>cumPDF</code>: vector of size <code>nt</code> that contains the cumulative probability density function that we have an age of less than a certain one in the samples</li></ul><p>This routine was developed based on an R-routine provided as electronic supplement in the paper:</p><ul><li>Weber, G., Caricchi, L., Arce, J.L., Schmitt, A.K., 2020. Determining the current size and state of subvolcanic magma reservoirs. Nat Commun 11, 5477. https://doi.org/10.1038/s41467-020-19084-2</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/ZirconAge/ZirconAges.jl#L98-L120">source</a></section><section><div><pre><code class="nohighlight hljs">time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF  = compute_zircons_Ttpath(time_years_vecs::Vector{Vector{Float64}}, Tt_paths_Temp::Vector{Vector{Float64}}; ZirconData::ZirconAgeData = ZirconAgeData())</code></pre><p>This accepts Vector{Vector} as input for time and temperature of each Tt-path. Here, the length of the vector can be variable between different points.</p><p>Internally, we interpolate this into a 2D matrix and a longer vector that includes all paths and a single vector with times </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/ZirconAge/ZirconAges.jl#L205-L212">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.zircon_age_PDF" href="#GeoParams.ZirconAges.zircon_age_PDF"><code>GeoParams.ZirconAges.zircon_age_PDF</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">zircon_age_PDF(ages_eruptible::AbstractArray{Float64,1}, number_zircons::AbstractArray{Float64,2}, bandwidth=1e5, n_analyses=300, ZirconData::ZirconAgeData)</code></pre><p>Compute probability density functions for zircon age path&#39;s describes in <code>number_zircons</code> with age <code>ages_eruptible</code> (both computed ). <code>bandwidth</code> is the smoothening window of the resulting curves (in years), whereas <code>n_analyses</code> are the number of analyses done. 	</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/3a819bd80a0b607faebd5ed6f2cb40ffeda64e8e/src/ZirconAge/ZirconAges.jl#L256-L260">source</a></section></article><p>We also provide a plotting routine, provided the GLMakie.jl package is loaded, which produces figures such as: <img src="../assets/img/ZirconAge_PDF.png" alt="subet3"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../TASclassification/">« TAS classification</a><a class="docs-footer-nextpage" href="../phasediagrams/">Phase Diagrams »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 24 January 2024 13:04">Wednesday 24 January 2024</span>. 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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Search · GeoParams.jl</title><script data-outdated-warner src="../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL=".."</script><script 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diff --git a/v0.5.4/search_index.js b/v0.5.4/search_index.js
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The interpolation object is directly encoded in the PhaseDiagram_LookupTable` object.  \n\n\n\n\n\n","category":"function"},{"location":"man/phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","page":"Phase Diagrams","title":"GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","text":"Contains data of a Phase Diagram that is regularly spaced in P & T\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#MaterialParameters","page":"Material Parameters","title":"MaterialParameters","text":"","category":"section"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"Material properties for a given phase can be set with SetMaterialParams, whereas all properties are  stored in the MaterialParams structure. Information about the material parameter is found at MaterialParamsInfo. This can be employed ","category":"page"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"MaterialParamsInfo\nSetMaterialParams\nMaterialParams","category":"page"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParamsInfo","text":"MaterialParamsInfo\n\nStructure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.\n\nUsually used in combination with param_info(the_parameter_of_interest)\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.SetMaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.SetMaterialParams","text":"SetMaterialParams(; Name::String=\"\", Phase::Int64=1,\n                    Density             =   nothing, \n                    Gravity             =   nothing,\n                    CreepLaws           =   nothing, \n                    Elasticity          =   nothing, \n                    Plasticity          =   nothing, \n                    CompositeRheology   =   nothing,\n                    Conductivity        =   nothing, \n                    HeatCapacity        =   nothing, \n                    RadioactiveHeat     =   nothing,\n                    LatentHeat          =   nothing,\n                    ShearHeat           =   nothing,\n                    Melting             =   nothing,\n                    SeismicVelocity     =   nothing,\n                    CharDim::GeoUnits   =   nothing)\n\nSets material parameters for a given phase. \n\nIf CharDim is specified the input parameters are non-dimensionalized.   Note that if Density is specified, we also set Gravity even if not explicitly listed\n\nExamples\n\nDefine two viscous creep laws & constant density:\n\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\",\n                       Density   = ConstantDensity(),\n                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))\nPhase 1 : Viscous Matrix\n        | [dimensional units]\n        | \n        |-- Density           : Constant density: ρ=2900 kg m⁻³ \n        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  \n        |                       Linear viscosity: η=1.0e21 Pa s\n\nDefine two viscous creep laws & P/T dependent density and nondimensionalize\n\njulia> CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\", Phase=33,\n                              Density   = PT_Density(),\n                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),\n                              CharDim   = CharUnits_GEO)\nPhase 33: Viscous Matrix\n        | [non-dimensional units]\n        | \n        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0 \n        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18 \n        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001  \n        |                       Linear viscosity: η=10000.0 \n\nYou can also create an array that holds several parameters:\n\njulia> MatParam        =   Array{MaterialParams, 1}(undef, 2);\njulia> Phase           =   1;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Upper Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                            Density  = ConstantDensity(ρ=2900kg/m^3));\njulia> Phase           =   2;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Lower Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),\n                            Density  = PT_Density(ρ0=3000kg/m^3));\njulia> MatParam\n2-element Vector{MaterialParams}:\n Phase 1 : Upper Crust\n    | [dimensional units]\n    | \n    |-- Density           : Constant density: ρ=2900 kg m⁻³ \n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  \n    |                       Linear viscosity: η=1.0e23 Pa s \n                            \n Phase 2 : Lower Crust\n    | [dimensional units]\n    | \n    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa \n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹  \n    |                       Linear viscosity: η=1.0e21 Pa s \n\n\n\n\n\n","category":"function"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParams","text":"MaterialParams\n\nStructure that holds all material parameters for a given phase\n\n\n\n\n\n","category":"type"},{"location":"man/contributing/#Contributing","page":"Contributing","title":"Contributing","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"You can contribute for example by adding new creep laws or by adding new constitutive relationships. If you invest a bit of time now, it will save others in the community a lot of time! The simplest way to do this is by cloning the repository, and creating a new branch for your feature. Once you are happy with what you added (and after you added a test to ensure that it will keep working with future changes), create a pull request and we will evaluate & merge it.","category":"page"},{"location":"man/contributing/#Style-Guide","page":"Contributing","title":"Style Guide","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Follow the style of the surrounding text when making changes. When adding new features please try to stick to the following points whenever applicable.","category":"page"},{"location":"man/contributing/#Julia","page":"Contributing","title":"Julia","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"4-space indentation;\nmodules spanning entire files should not be indented, but modules that have surrounding code should;\nno blank lines at the start or end of files;\ndo not manually align syntax such as = or :: over adjacent lines;\nuse function ... end when a method definition contains more than one toplevel expression;\nrelated short-form method definitions don't need a new line between them;\nunrelated or long-form method definitions must have a blank line separating each one;\nsurround all binary operators with whitespace except for ::, ^, and :;\nfiles containing a single module ... end must be named after the module;\nmethod arguments should be ordered based on the amount of usage within the method body;\nmethods extended from other modules must follow their inherited argument order, not the above rule;\nexplicit return should be preferred except in short-form method definitions;\navoid dense expressions where possible e.g. prefer nested ifs over complex nested ?s;\ninclude a trailing , in vectors, tuples, or method calls that span several lines;\ndo not use multiline comments (#= and =#);\nwrap long lines as near to 92 characters as possible, this includes docstrings;\nfollow the standard naming conventions used in Base.","category":"page"},{"location":"man/contributing/#Markdown","page":"Contributing","title":"Markdown","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Use unbalanced # headers, i.e. no # on the right hand side of the header text;\ninclude a single blank line between toplevel blocks;\nunordered lists must use * bullets with two preceding spaces;\ndo not hard wrap lines;\nuse emphasis (*) and bold (**) sparingly;\nalways use fenced code blocks instead of indented blocks;\nfollow the conventions outlined in the Julia documentation page on documentation.","category":"page"},{"location":"man/latentheat/#Latent-heat","page":"Latent heat","title":"Latent heat","text":"","category":"section"},{"location":"man/latentheat/#Methods","page":"Latent heat","title":"Methods","text":"","category":"section"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"Latent heat (of crystallisation) is defined as ","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","category":"page"},{"location":"man/latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","page":"Latent heat","title":"GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","text":"ConstantLatentHeat(Q_L=400kJ/kg)\n\nSet a constant latent heat:\n\n    Q_L  = cst\n\nwhere Q_L is the latent heat [kJkg].\n\n\n\n\n\n","category":"type"},{"location":"man/latentheat/#Computational-routines","page":"Latent heat","title":"Computational routines","text":"","category":"section"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"To compute, use this:","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"GeoParams.MaterialParameters.LatentHeat.compute_latent_heat","category":"page"},{"location":"man/zirconages/#Zircon-age-parameterizations","page":"Zircon Ages","title":"Zircon age parameterizations","text":"","category":"section"},{"location":"man/zirconages/#Methods","page":"Zircon Ages","title":"Methods","text":"","category":"section"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"Zircons are one of the ways in which we can date the age & activity of magmatic systems. Here, we provide a computational routine that computes the zircon age distribution from temperature-time paths","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.ZirconAgeData","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.ZirconAgeData","page":"Zircon Ages","title":"GeoParams.ZirconAges.ZirconAgeData","text":"ZirconAgeData\n\nStruct that holds default parameters for the calculations\n\n\n\n\n\n","category":"type"},{"location":"man/zirconages/#Computational-routines","page":"Zircon Ages","title":"Computational routines","text":"","category":"section"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"There is one main routine with which you can compute zircon age probability density functions from a range of temperature-ime paths:","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.compute_zircon_age_PDF","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.compute_zircon_age_PDF","page":"Zircon Ages","title":"GeoParams.ZirconAges.compute_zircon_age_PDF","text":"time_Ma, PDF_zircons, time_Ma_average, PDF_zircon_average, time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF = compute_zircon_age_PDF(time_years_vecs::Vector{Vector}, Tt_paths_Temp_vecs::Vector{Vector}; ZirconData::ZirconAgeData = ZirconAgeData(), bandwidth=bandwidth, n_analyses=300)\n\nThis computes the PDF (probability density function) with zircon age data from Vectors with Tt-paths\t\n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"This, in turn, calls two other routines:","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.compute_zircons_Ttpath\nGeoParams.zircon_age_PDF","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.compute_zircons_Ttpath","page":"Zircon Ages","title":"GeoParams.ZirconAges.compute_zircons_Ttpath","text":"prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF =  compute_zircons_Ttpath(time_years::AbstractArray{Float64,1}, Tt_paths_Temp::AbstractArray{Float64,2}; ZirconData::ZirconAgeData)\n\nThis computes the number of zircons produced from a series of temperature-time path's.  The Tt-paths are stored in a 2D matrix Tt_paths_Temp with rows being the temperature at time time_years.\n\nInput:\n\ntime_years : vector of length nt with the time in years (since the beginning of the simulation) of the points provided\nTt_paths_Temp : array of size (nt,npaths)` with the temperature of every path.\n\nOutput:\n\nprob : a vector that gives the relative probability that a zircon with a given age exists\nages_eruptible : age of eruptble magma\nnumber_zircons : 1D array of size (nt,)\nT_av_time: vector of size nt that contains the average T of the paths\nT_sd_time: vector of size nt that contains the standard deviation of the T of the paths\ncumPDF: vector of size nt that contains the cumulative probability density function that we have an age of less than a certain one in the samples\n\nThis routine was developed based on an R-routine provided as electronic supplement in the paper:\n\nWeber, G., Caricchi, L., Arce, J.L., Schmitt, A.K., 2020. Determining the current size and state of subvolcanic magma reservoirs. Nat Commun 11, 5477. https://doi.org/10.1038/s41467-020-19084-2\n\n\n\n\n\ntime_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF  = compute_zircons_Ttpath(time_years_vecs::Vector{Vector{Float64}}, Tt_paths_Temp::Vector{Vector{Float64}}; ZirconData::ZirconAgeData = ZirconAgeData())\n\nThis accepts Vector{Vector} as input for time and temperature of each Tt-path. Here, the length of the vector can be variable between different points.\n\nInternally, we interpolate this into a 2D matrix and a longer vector that includes all paths and a single vector with times \n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/#GeoParams.ZirconAges.zircon_age_PDF","page":"Zircon Ages","title":"GeoParams.ZirconAges.zircon_age_PDF","text":"zircon_age_PDF(ages_eruptible::AbstractArray{Float64,1}, number_zircons::AbstractArray{Float64,2}, bandwidth=1e5, n_analyses=300, ZirconData::ZirconAgeData)\n\nCompute probability density functions for zircon age path's describes in number_zircons with age ages_eruptible (both computed ). bandwidth is the smoothening window of the resulting curves (in years), whereas n_analyses are the number of analyses done. \t\n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"We also provide a plotting routine, provided the GLMakie.jl package is loaded, which produces figures such as: (Image: subet3)","category":"page"},{"location":"man/TASclassification/#TAS-rock-classification","page":"TAS classification","title":"TAS rock classification","text":"","category":"section"},{"location":"man/TASclassification/#Methods","page":"TAS classification","title":"Methods","text":"","category":"section"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"When doing coupled petrological-geodynamic modelling, the evolution of the composition of the magma is more easily understood when a rock type is given. This routine is an implementation of the TAS diagram (Total Alkali (TA) vs Silica (S)) from Le Maitre et al., 2002.","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.TASclassificationData","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.TASclassificationData","page":"TAS classification","title":"GeoParams.TASclassification.TASclassificationData","text":"TASclassificationData\n\nStruct that holds default parameters for the TAS diagram\n\n\n\n\n\n","category":"type"},{"location":"man/TASclassification/#Computational-routine","page":"TAS classification","title":"Computational routine","text":"","category":"section"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"There is one routine with which you can retrieve the index of the TAS rock-type. The routine receives as an input a compositional vector [SiO2,Na2O+K2O] in wt% and sends back an index [1-15].","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.computeTASclassification","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.computeTASclassification","page":"TAS classification","title":"GeoParams.TASclassification.computeTASclassification","text":"classIndex computeTASclassification(chemComp::AbstractArray{_T,N}, ClassTASdata::TASclassificationData)\n\nThis compute the classification of the igneous rock using TAS diagram (Total Alkali (TA) vs Silica (S)).\n\nInput:\n\nchemComp : vector rock composition in oxide wt%\n\nOutput:\n\nclassIndex : an integer [0-14] corresponding to a TAS field (TASclassificationData.litho[classIndex])\n\nThis routine was developed based the TAS classification of Le Maitre et al., 2002\n\n\n\n\n\n","category":"function"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"Using the index of the rock-type you can get the name of the corresponding volcanic rock using the following routine.","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.retrieveTASrockType","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.retrieveTASrockType","page":"TAS classification","title":"GeoParams.TASclassification.retrieveTASrockType","text":"retrieveTASrockType(index::Int64; ClassTASdata::TASclassificationData = TASclassificationData())\n\nThis retrieves the name of the volcanic rock-type using the computed index\n\nInput:\n\nindex : integer [1-15]\n\nOutput:\n\nlitho : a string of the name of corresponding volcanic rock\n\n\n\n\n\n","category":"function"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"We also provide a plotting routine, provided the GLMakie.jl package is loaded, which produces figures such as: (Image: subet3)","category":"page"},{"location":"man/radioactiveheating/#Radioactive-heat","page":"Radioactive heat","title":"Radioactive heat","text":"","category":"section"},{"location":"man/radioactiveheating/#Methods","page":"Radioactive heat","title":"Methods","text":"","category":"section"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"Radioactive heat sources are defined as ","category":"page"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat\nGeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat\n","category":"page"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","text":"ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)\n\nSet a constant radioactive heat:\n\n    H_r  = cst\n\nwhere H_r is the radioactive heat source [Wattm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat","text":"ExpDepthDependent(H_0=1e-6Watt/m^3, h_r=10e3m, z_0=0m)\n\nSets an exponential depth-dependent radioactive \n\n    H_r  = H_0 exp left( - (z - z_0) over h_r right)\n\nwhere H_0 is the radioactive heat source [Wattm^3] at z=z_0 which decays with depth over a characteristic distance h_r.\n\n\n\n\n\n","category":"type"},{"location":"man/radioactiveheating/#Computational-routines","page":"Radioactive heat","title":"Computational routines","text":"","category":"section"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"To compute, use this:","category":"page"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat\nGeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat!","category":"page"},{"location":"man/tables/#Tables","page":"Tables","title":"Tables","text":"","category":"section"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"There are two different formats of output tables that can be produced:","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"LaTeX (always comes with \"References.bib\" for citations)\nMarkdown","category":"page"},{"location":"man/tables/#Producing-output-table","page":"Tables","title":"Producing output table","text":"","category":"section"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"ParameterTable() is used to produce an output table of all the material parameters in your phase(s) in LaTeX or Markdown format. All you need is a dimensional phase as defined in section 2. Material Parameters in the README.md of GeoParams. This phase should be given to ParameterTable as first argument. There are optional arguments which can be given in ParameterTable. Those are format, filename and rdigits. The format keyword determines whether your table should be in LaTeX or Markdown format (should be given as string). filename determines the name of the file but can also be used to save the file in a different directory other than the GeoParams package directory (should be given as string, note: no file endings needed since they will be determined by the format keyword!). rdigits gives the numbers of decimals to which all parameter values will be rounded (should be given as integer).","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"Example 1:","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"julia> MatParam = SetMaterialParams(Name=\"Viscous Matrix\", Phase=1,\n                                     Density   = ConstantDensity(),\n                                     CreepLaws = LinearViscous(η=1e23Pa*s))\n\njulia> ParameterTable(MatParam, format=\"tex\", filename=\"ParameterTable\", rdigits=4)","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"(Image: latex)","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"Example 2:","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"julia> ParameterTable(MatParam, format=\"md\", filename=\"ParameterTable\", rdigits=4)","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"(Image: markdown)","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"GeoParams.ParameterTable\nGeoParams.Phase2Dict\nGeoParams.Phase2DictMd\nGeoParams.Dict2LatexTable\nGeoParams.Dict2MarkdownTable\nGeoParams.detachFloatfromExponent","category":"page"},{"location":"man/tables/#GeoParams.Tables.ParameterTable","page":"Tables","title":"GeoParams.Tables.ParameterTable","text":"ParameterTable() creates a table with all parameters saved in the Phase struct. It lets you choose between \"latex\" and \"markdown\" as table formats with LaTeX as default. Creates a filename.tex or filename.md file as output. If \"latex\" is chosen a \"Reference.bib\" file will automatically be produced with all your references. Storage path by default is the GeoParams package folder. A specific storage path can be given as normal path with \"\\filename\" in the end as a string. Use double backslash for subfolders. There is no file extension needed to be given.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.Phase2Dict","page":"Tables","title":"GeoParams.Tables.Phase2Dict","text":"Phase2Dict() puts all parameters of a phase s in a dict.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.Phase2DictMd","page":"Tables","title":"GeoParams.Tables.Phase2DictMd","text":"Phase2DictMd() puts all parameters of a phase in a dict.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.Dict2LatexTable","page":"Tables","title":"GeoParams.Tables.Dict2LatexTable","text":"Dict2LatexTable() writes a .tex file with all parameters from the Phase2Dict() output in a LaTeX table. rdigits will round numbers with more decimals than rdigits including numbers of 10 to power of n, n being an Integer, for representation purposes. For the exact numbers use the original implemented numbers from the creeplaws of the dict in src/CreepLaw/Data/DiffusionCreep.jl or src/CreepLaw/Data/DislocationCreep.jl.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.Dict2MarkdownTable","page":"Tables","title":"GeoParams.Tables.Dict2MarkdownTable","text":"Dict2MarkdownTable() writes a .md file with all parameters from the Phase2DictMd() output in a Markdown table. rdigits will round numbers with more decimals than rdigits including numbers of 10 to power of n, n being an Integer, for representation purposes. For the exact numbers use the original implemented numbers from the creeplaws of the dict in src/CreepLaw/Data/DiffusionCreep.jl or src/CreepLaw/Data/DislocationCreep.jl.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.detachFloatfromExponent","page":"Tables","title":"GeoParams.Tables.detachFloatfromExponent","text":"detachFloatfromExponent() returns the number of float decimals after the comma as Integer, the float number without the exponent as string  and the exponent after the \"e\" as string. The argument output returns \"1\" for \"ex\" if the input number has no exponent.\n\n\n\n\n\n","category":"function"},{"location":"man/listfunctions/#List-of-all-functions","page":"List of functions","title":"List of all functions","text":"","category":"section"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity","page":"Seismic Velocity","title":"Seismic velocity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"Seismic velocity can specified in a number of ways","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","text":"ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)\n\nSet a constant seismic P and S-wave velocity:\n\n    V_p = cst\n\n    V_s = cst\n\nwhere V_p V_s are the P-wave and S-wave velocities [kms].\n\n\n\n\n\n","category":"type"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.","category":"page"},{"location":"man/seismicvelocity/#Computational-routines","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To evaluate seismic velocity within a user routine, use this:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.compute_swave_velocity!\nGeoParams.compute_pwave_velocity!\nGeoParams.compute_pwave_velocity\nGeoParams.compute_swave_velocity","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity-correction-for-partial-melt","page":"Seismic Velocity","title":"Seismic velocity correction for partial melt","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-2","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"The routine uses the reduction formulation of Clark et al., (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-2","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute melt-content based correction for seismic waves velocities, you can use:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.melt_correction","category":"page"},{"location":"man/seismicvelocity/#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity","page":"Seismic Velocity","title":"Seismic S-wave velocity correction for (shallow depth) porosity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-3","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"This routine is based on the equilibrium geometry model for the solid skeleton of Takei et al. (1998) and the porosity-depth empirical relationship of Chen et al. (2020)","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-3","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute porosity based correction for seismic S-wave velocity, you can use:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.porosity_correction","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity-correction-for-anelasticity","page":"Seismic Velocity","title":"Seismic velocity correction for anelasticity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-4","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"The routine uses the reduction formulation of karato (1993), using the quality factor formulation from Behn et al. (2009)","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-4","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute a correction of S-wave velocity for anelasticity, use this:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.anelastic_correction","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction","text":"    Vs_anel = anelastic_correction(water::Int64, Vs0::Float64,P::Float64,T::Float64)\n\nThis routine computes a correction of S-wave velocity for anelasticity\n\nInput:\n\nwater: water flag, 0 = dry; 1 = dampened; 2 = water saturated \nVs0  : S-wave velocitiy of the solid phase (with or without melt correction)\nP    : pressure given in Pa\nT    : temperature given in °K\n\nOutput:\n\nVs_anel : corrected S-wave velocity for anelasticity\n\nThe routine uses the reduction formulation of Karato (1993), using the quality factor formulation from Behn et al. (2009)\n\nReferences:\n\nKarato, S. I. (1993). Importance of anelasticity in the interpretation of seismic tomography. Geophysical research letters, 20(15), 1623-1626.\nBehn, M. D., Hirth, G., & Elsenbeck II, J. R. (2009). Implications of grain size evolution on the seismic structure of the oceanic upper mantle. Earth and Planetary Science Letters, 282(1-4), 178-189.\n\n\n\n\n\n","category":"function"},{"location":"man/plasticity/#Plasticity","page":"Plasticity","title":"Plasticity","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"Plasticity is a non-linear rheology that is activated once stresses exceed a certain yield criteria.","category":"page"},{"location":"man/plasticity/#Implemented-laws","page":"Plasticity","title":"Implemented laws","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"The following plastic law are implemented:","category":"page"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"GeoParams.MaterialParameters.Plasticity.DruckerPrager\nGeoParams.MaterialParameters.Plasticity.DruckerPrager_regularised","category":"page"},{"location":"man/plasticity/#Computational-routines","page":"Plasticity","title":"Computational routines","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"Usually, plasticity should be defined as part of a CompositeRheology structure and calculations can be done as with all other rheology computations by using compute_τII.","category":"page"},{"location":"man/plotting/#Plotting","page":"Plotting","title":"Plotting","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"We provide a number of plotting routines. Note that these plotting routines only become available once the GLMakie package is loaded.","category":"page"},{"location":"man/plotting/#Plot-CreepLaws","page":"Plotting","title":"Plot CreepLaws","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"GeoParams.PlotStressStrainrate_CreepLaw\nGeoParams.PlotHeatCapacity\nGeoParams.PlotConductivity\nGeoParams.PlotMeltFraction\nGeoParams.PlotPhaseDiagram\nGeoParams.PlotDeformationMap","category":"page"},{"location":"man/plotting/#GeoParams.PlotHeatCapacity","page":"Plotting","title":"GeoParams.PlotHeatCapacity","text":"T,Cp,plt = PlotHeatCapacity(cp::AbstractHeatCapacity; T=nothing, plt=nothing, lbl=nothing)\n\nCreates a plot of temperature T vs. heat capacity, as specified in cp (which can be temperature-dependent).\n\nOptional parameters\n\nT: temperature range\nplt: a previously generated plotting object\nlbl: label of the curve\n\nExample\n\njulia> cp = T_HeatCapacity_Whittacker()\njulia> T,Cp,plt = PlotHeatCapacity(cp)\n\nyou can now save the figure to disk with:\n\njulia> using Plots\njulia> savefig(plt,\"Tdependent_heatcapacity.png\")\n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#GeoParams.PlotConductivity","page":"Plotting","title":"GeoParams.PlotConductivity","text":"T,Kk,plt = PlotConductivity(cp::AbstractConductivity; T=nothing, plt=nothing, lbl=nothing)\n\nCreates a plot of temperature T vs. thermal conductivity, as specified in k (which can be temperature-dependent).\n\nOptional parameters\n\nT: temperature range\nplt: a previously generated plotting object\nlbl: label of the curve\n\nExample\n\njulia> k = T_Conductivity_Whittacker()\njulia> T,KK,plt = PlotConductivity(k)\n\nyou can now save the figure to disk with:\n\njulia> using Plots\njulia> savefig(plt,\"Tdependent_conductivity.png\")\n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#GeoParams.PlotPhaseDiagram","page":"Plotting","title":"GeoParams.PlotPhaseDiagram","text":"plt, data, Tvec, Pvec = PlotPhaseDiagram(p::PhaseDiagram_LookupTable; fieldname::Symbol, Tvec=nothing, Pvec=nothing)\n\nPlots a phase diagram as a function of T (x-axis) and P (y-axis). We either use the default ranges of the diagram, or you can specify the temperature and pressure ranges (while specifying units). The return arguments are the plotting object plt (so you can modify properties) as well as the data that is being plotted\n\nExample\n\njulia> PD_data =  Read_LaMEM_Perple_X_Diagram(\"Peridotite.in\")\nPerple_X/LaMEM Phase Diagram Lookup Table:\n                      File    :   Peridotite.in\n                      T       :   293.0 - 1573.000039\n                      P       :   1.0e7 - 2.9999999944e9\n                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp\n                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs\n                                  :Vp, :Vs, :VpVs, :cpxFrac\njulia> PlotPhaseDiagram(PD_data,:meltFrac, Tvec=(100:1:1400).*C, Pvec=(.1:.1:30).*kbar )\n\nThis will generate the following plot (Image: subet2)\n\nYou can also use the default pressure/temperature ranges in the diagrams:\n\njulia> PlotPhaseDiagram(PD_data,:Rho)\n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#GeoParams.PlotDeformationMap","page":"Plotting","title":"GeoParams.PlotDeformationMap","text":"fig = PlotDeformationMap(v;    args=(P=0.0, d=1e-3, f=1.0),\n                            σ = (1e-2, 1e8),                # in MPa\n                            T = (10, 1000),                 # in C\n                            ε = (1e-22, 1e-8),              # in 1/s\n                            n = 400,                        # number of points\n                            rotate_axes = false,            # flip x & y axes\n                            strainrate = true,              # strainrate (otherwise stress)\n                            viscosity = false,              # plot viscosity instead of strainrate/stress\n                            boundaries = true,              # plot deformation boundaries\n                            levels = 20,                    # number of contour levels\n                            colormap=:viridis,              # colormap\n                            filename=nothing,               # if you want to save this to file\n                            fontsize=40,                    # fontsize of labels\n                            res=(1200, 900))                # resolution in pixels\n\nCreates a deformation mechanism map (T/εII vs. stress/viscosity or T/τII vs. strainrate/viscosity) for given (composite) rheology v\n\nExample\n\njulia> v1 = SetDiffusionCreep(\"Dry Anorthite | Rybacki et al. (2006)\")\njulia> v2 = SetDislocationCreep(\"Dry Anorthite | Rybacki et al. (2006)\")\njulia> v=CompositeRheology(v1,v2)\njulia> PlotDeformationMap(v, levels=100, colormap=:roma)\n\nNext, let's plot viscosity and flip x & y axis:\n\njulia> PlotDeformationMap(v, viscosity=true, rotate_axes=true)\n\nInstead of plotting stress vs. T and computing strainrate, we can also provide strainrate/T and compute stress:\n\njulia> PlotDeformationMap(v, strainrate=false)\n\nOr plot viscosity but only add contours in a certain range:\n\njulia> PlotDeformationMap(v,  strainrate=false, viscosity=true, levels=Vector(18:.25:24))\n\n\n\n\n\n","category":"function"},{"location":"man/geounit/#GeoUnit","page":"GeoUnit","title":"GeoUnit","text":"","category":"section"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Most parameters have physical units (100km, 9.81 ms⁻²). Yet, within numerical solvers it is usually not a good idea to compute with the actual SI units as they (at least in geosciences) tend to result in very large/small numbers, which can cause in roundoff errors.  Therefore, we usually convert the dimensional units into non-dimensional ones befeore starting computations. The results can than be converted back to more convenient units for us when we generate the output (plots, for example).","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"This requires a way to store the dimensions of a parameter, but also, once they are made nondimensional, the original units (otherwise we can't convert them back to dimensional values).","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"For that reason, we use the GeoUnit structure, defined as ","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"struct GeoUnit{T,U}\n    val          :: T\n    unit         :: U\n    isdimensional:: Bool\nend","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"You can define a GeoUnit as:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> a = GeoUnit(100km)\nGeoUnit{dimensional, km}, \n100.0\njulia> b=GeoUnit(100s)\nGeoUnit{dimensional, s}, \n100.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Dividing the two gives the expected result","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> c=a/b\nGeoUnit{dimensional, km s⁻¹·⁰}, \n1.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Can also be a vector:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> T = GeoUnit(100K:10.0K:1000K)\nGeoUnit{dimensional, K}, \n100.0:10.0:1000.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"The numerical value is obtained with:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> NumValue(c)\n1.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"It's unit with","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> Unit(c)\nkm s⁻¹·⁰","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"and the value with unit with","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> Value(c)\n1.0 km s⁻¹·⁰","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"If you multiply or divide a GeoUnit with a normal number, we assume that you are no longer interested in the units and you'll get a Float64:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> c*100\n100.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"The value of the GeoUnit struct becomes clear once we non-dimensionalize it (as explained in more detail in a separate page). For that, first specify which characteristic values you want to use for non-dimensionalisation: ","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> CharDim = GEO_units(length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas);","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Let's define a stress:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> σ=GeoUnit(10MPa)\nGeoUnit{dimensional, MPa}, \n10.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"And transfer it to nondimensional units:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> σ_nd = nondimensionalize(σ,CharDim)\nGeoUnit{nondimensional, MPa}, \n0.9999999999999998","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Instead of 1e7 Pa, we now have 1.0; yet at the same time we know that the original unit of σ_nd was in MPa, which allows to transfer it back to dimensional units:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> dimensionalize(σ_nd,CharDim)\nGeoUnit{dimensional, MPa}, \n10.0","category":"page"},{"location":"man/creeplaws/#CreepLaws","page":"Creep laws","title":"CreepLaws","text":"","category":"section"},{"location":"man/creeplaws/#Implemented-creep-laws","page":"Creep laws","title":"Implemented creep laws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"The following viscous creep laws are implemented:","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"GeoParams.LinearViscous\nGeoParams.PowerlawViscous\nGeoParams.DislocationCreep\nGeoParams.SetDislocationCreep\nGeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep\nGeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous","text":"LinearViscous(η=1e20Pa*s)\n\nDefines a linear viscous creeplaw \n\nThe (isotopic) linear viscous rheology is given by  \n\n    tau_ij = 2 eta dotvarepsilon_ij \n\nor\n\n    dotvarepsilon_ij  = tau_ij  over 2 eta \n\nwhere eta_0 is the reference viscosity [Pa*s] at reference strain rate dotvarepsilon_0[1/s], and n the power law exponent []. \n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous","text":"PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)\n\nDefines a power law viscous creeplaw as: \n\n    tau_ij^n  = 2 eta_0 left( dotvarepsilon_ij over dotvarepsilon_0 right)\n\nwhere eta is the effective viscosity [Pa*s].\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep","text":"DislocationCreep(n = 1.0NoUnits, r = 0.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )\n\nDefines the flow law parameter of a dislocation creep law.\n\nThe (isotropic) dislocation creep law, as used by experimentalists, is given by  \n\n     dotgamma = A sigma_mathrmd^n f_mathrmH2O^r expleft(-fracE+PVRTright)\n\nwhere \n\nn is the power law exponent  \nr is the exponent of fugacity dependence \nA is a pre-exponential factor mathrmMPa^-ns^-1 (if manually defined, n and r must be either pre-defined or substituted) \nE is the activation energy mathrmkJmol \nV is the activation volume mathrmm^3mol \ndotgamma is the strain rate mathrm1s \nsigma_mathrmd is the differential stress mathrmMPa which are converted into second invariants using the Apparatus variable that can be\n\neither AxialCompression, SimpleShear or Invariant. If the flow law parameters are already given as a function of second invariants, choose Apparatus=Invariant.\n\nExample\n\njulia> x2 = DislocationCreep(n=3)\nDislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep","text":"DiffusionCreep(r = 0NoUnits, p = A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )\n\nDefines the flow law parameter of a dislocation creep law.\n\nThe (isotropic) diffusion creep law, as used by experimentalists, is given by  \n\n     dotgamma = A sigma_mathrmd d^mathrmp f_mathrmH2O^r expleft(-fracE+PVRTright)\n\nwhere \n\nr is the exponent of fugacity dependence \np is the exponent of grain size\nA is a pre-exponential factor mathrmMPa^-ns^-1 (if manually defined, n and r must be either pre-defined or substituted) \nE is the activation energy mathrmkJmol \nV is the activation volume mathrmm^3mol \ndotgamma is the strain rate mathrm1s \nsigma_mathrmd is the differential stress mathrmMPa\n\nThe experimental parameters are converted into second invariants using the Apparatus variable that can be either AxialCompression, SimpleShear or Invariant. If the flow law parameters are already given as a function of second invariants, choose Apparatus=Invariant.\n\nExample\n\njulia> x2 = DiffusionCreep(Name=\"test\")\nDiffusionCreep: Name = test, n=1.0, r=0.0, p=-3.0, A=1.5 m³·⁰ MPa⁻¹·⁰ s⁻¹·⁰, E=500.0 kJ mol⁻¹·⁰, V=2.4e-5 m³·⁰ mol⁻¹·⁰, FT=1.7320508075688772, FE=1.1547005383792517)\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","text":"SetDiffusionCreep[\"Name of Diffusion Creep\"]\n\nThis is a dictionary with pre-defined creep laws    \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#Computational-routines-for-creep-laws","page":"Creep laws","title":"Computational routines for creep laws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"Once a creep rheology is defined, we can use the following routines to perform computations within the solvers","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"CreepLawVariables\nGeoParams.compute_εII\nGeoParams.compute_εII!\nGeoParams.compute_τII\nGeoParams.compute_τII!\nGeoParams.CorrectionFactor\nGeoParams.RemoveTensorCorrection","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII","text":"compute_εII(a::DiffusionCreep, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)\n\nReturns diffusion creep strainrate as a function of 2nd invariant of the stress tensor tau_II \n\n    dotε_II = A τ_II^n d^p f_H_2O^r exp left(- E + PV over RT right)\n\n\n\n\n\ncompute_εII(a::GrainBoundarySliding, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)\n\nReturns grain boundary sliding strainrate as a function of 2nd invariant of the stress tensor tau_II \n\n    dotε_II = A τ_II^n d^p exp left(- E + PV over RT right)  ÄNDERN\n\n\n\n\n\ncompute_εII(s::ConstantElasticity{_T}, τII; τII_old, dt)\n\nComputes elastic strainrate given the deviatoric stress at the current (τII) and old timestep (τII_old), for a timestep dt:\n\n    dotvarepsilon^el = 1 over 2 G D tau_II over Dt   1 over 2 G tau_II- tildetau_II^old over dt \n\nNote that we here solve the scalar equation, which is sufficient for isotropic cases. In tensor form, it would be\n\n    dotvarepsilon^el_ij = 1 over 2 G  tau_ij - tildetau_ij^old over dt \n\nhere tildetau_ij^old is the rotated old deviatoric stress tensor to ensure objectivity (this can be done with Jaumann derivative, or also by using the full rotational formula).\n\n\n\n\n\ncompute_εII(p::DruckerPrager{_T,U,U1}, λdot::_T, τII::_T,  P)\n\nThis computes plastic strain rate invariant for a given λdot\n\n\n\n\n\ncompute_εII(p::DruckerPrager_regularised{_T,U,U1}, λdot::_T, τII::_T,  P)\n\nThis computes plastic strain rate invariant for a given λdot\n\n\n\n\n\ncompute_εII(v::Parallel{T,N}, τII, args; tol=1e-6, verbose=false, n=1)\n\nComputing εII as a function of τII for a Parallel elements is (usually) a nonlinear problem\n\n\n\n\n\ncompute_εII(v::CompositeRheology{T,N}, τII, args; tol=1e-6, verbose=false, n=1)\n\nComputing εII as a function of τII for a composite element is the sum of the individual contributions\n\n\n\n\n\ncompute_εII(v::AbstractPlasticity, τII::_T, args; tol=1e-6, verbose=true)\n\nPerforms local iterations to compute the plastic strainrate. Note that the non-plastic strainrate, ε_np, should be part of args\n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!","text":"compute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)\n\nComputes strainrate as a function of stress\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)\n\nComputes strainrate as a function of stress\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, s::LinearViscous, TauII::AbstractArray{_T,N})\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, s::ArrheniusType, TauII::AbstractArray{_T,N})\n\n\n\n\n\ncompute_εII!(ε_el::AbstractArray{_T,N}, s::ConstantElasticity{_T}; τII::AbstractArray{_T,N}, τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)\n\nIn-place computation of the elastic shear strainrate for given deviatoric stress invariants at the previous (τII_old) and new (τII) timestep, as well as the timestep dt  \n\n    dotvarepsilon^el = 1 over 2 G D tau_II over Dt   1 over 2 G tau_II- tau_II^old over dt \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII","text":"compute_τII(a::DislocationCreep, EpsII; P, T, f, args...)\n\nComputes the stress for a Dislocation creep law given a certain strain rate\n\n\n\n\n\ncomputeCreepLaw_TauII(EpsII::_T, a::DiffusionCreep; T::_T, P=zero(_T), f=one(_T), d=one(_T), kwargs...)\n\nReturns diffusion creep stress as a function of 2nd invariant of the strain rate \n\n\n\n\n\ncomputeCreepLaw_TauII(EpsII::_T, a::GrainBoundarySliding; T::_T, P=zero(_T), d=one(_T), kwargs...)\n\nReturns grain boundary sliding stress as a function of 2nd invariant of the strain rate \n\n\n\n\n\ncompute_τII(a::PeierlsCreep, EpsII; P, T, f, args...)\n\nComputes the stress for a peierls creep law given a certain strain rate.\n\n\n\n\n\ncompute_τII(s::LinearViscous, EpsII; kwargs...)\n\nReturns second invariant of the stress tensor given a 2nd invariant of strain rate tensor \n\n\n\n\n\ncompute_τII(s::ArrheniusType, EpsII; kwargs...)\n\nReturns second invariant of the stress tensor given a 2nd invariant of strain rate tensor \n\n\n\n\n\nτII = compute_τII(v::CompositeRheology{T,N}, εII, args; tol=1e-6, verbose=false)\n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!","text":"compute_τII!(TauII::AbstractArray{_T,N}, a::DislocationCreep, EpsII::AbstractArray{_T,N}; \n    P =       zero(TauII)::AbstractArray{_T,N}, \n    T = ones(size(TauII))::AbstractArray{_T,N}, \n    f = ones(size(TauII))::AbstractArray{_T,N})\n\nComputes the deviatoric stress invariant for a dislocation creep law\n\n\n\n\n\ncompute_τII!(TauII::AbstractArray{_T,N}, a::PeierlsCreep, EpsII::AbstractArray{_T,N}; \n    T = ones(size(TauII))::AbstractArray{_T,N}, args...)\n\nComputes the deviatoric stress invariant for a peierls creep law.\n\n\n\n\n\ncompute_τII!(τII::AbstractArray{_T,N}, s::ConstantElasticity{_T}. ε_el::AbstractArray{_T,N}; τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)\n\nIn-place update of the elastic stress for given deviatoric strainrate invariants and stres invariant at the old (τII_old) timestep, as well as the timestep dt  \n\n    tau_II = 2 G dt dotvarepsilon^el + tau_II^old\n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#Heat-capacity","page":"Heat Capacity","title":"Heat capacity","text":"","category":"section"},{"location":"man/heatcapacity/#Methods","page":"Heat Capacity","title":"Methods","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"Heat capacity is defined as ","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity\nGeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","text":"ConstantHeatCapacity(cp=1050J/mol/kg)\n\nSet a constant heat capacity:\n\n    cp  = cst\n\nwhere cp is the thermal heat capacity [JkgK].\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","text":"T_HeatCapacity_Whittington()\n\nSets a temperature-dependent heat capacity following the parameterization of Whittington et al. (2009), Nature:\n\n    Cp = (a + b T - cT^2)m \n\nwhere Cp is the heat capacity [JkgK], and abc are parameters that dependent on the temperature T:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nmolmass =   0.22178kg/mol \n\nNote that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than JmolK as in eq.3/4 of the paper)\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#Computational-routines","page":"Heat Capacity","title":"Computational routines","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"To compute, use this:","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity\nGeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","text":"Cp = compute_heatcapacity(s:<AbstractHeatCapacity, P, T)\n\nReturns the heat capacity Cp at any temperature T and pressure P using any of the heat capacity laws implemented.\n\nCurrently available:\n\nConstantHeatCapacity\nT_HeatCapacity_Whittington\n\nExample\n\nUsing dimensional units\n\njulia> T  = (250:100:1250)*K;\njulia> cp = T_HeatCapacity_Whittington()\njulia> Cp = ComputeHeatCapacity(0,T,cp)\n11-element Vector{Unitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:\n  635.4269997294616 J kg⁻¹ K⁻¹\n  850.7470171764261 J kg⁻¹ K⁻¹\n  962.0959598489883 J kg⁻¹ K⁻¹\n 1037.5420433770641 J kg⁻¹ K⁻¹\n 1097.3517921966488 J kg⁻¹ K⁻¹\n 1149.2745563671706 J kg⁻¹ K⁻¹\n 1157.7915050948404 J kg⁻¹ K⁻¹\n 1172.3554874197264 J kg⁻¹ K⁻¹\n 1186.9194697445964 J kg⁻¹ K⁻¹\n  1201.483452069455 J kg⁻¹ K⁻¹\n 1216.0474343943067 J kg⁻¹ K⁻¹\n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","text":"compute_heatcapacity!(Cp::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat})\n\nIn-place computation of heat capacity Cp for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#Melting-Parameterizations","page":"Partial Melting","title":"Melting Parameterizations","text":"","category":"section"},{"location":"man/melting/#Methods","page":"Partial Melting","title":"Methods","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"A number of melting parameterisations are implemented, which can be set with:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.MeltingParam_Caricchi\nGeoParams.MeltingParam.MeltingParam_5thOrder\nGeoParams.MeltingParam.MeltingParam_4thOrder\nGeoParams.MeltingParam.MeltingParam_Quadratic\nGeoParams.MeltingParam.MeltingParam_Assimilation\nGeoParams.MeltingParam.SmoothMelting","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Caricchi","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Caricchi","text":"MeltingParam_Caricchi()\n\nImplements the T-dependent melting parameterisation used by Caricchi, Simpson et al. (as for example described in Simpson)\n\n    theta = (a - (T + c)) over b\n\n    phi_melt = 10 over (10 + e^theta)\n\nNote that T is in Kelvin. As default parameters we employ:\n\nb=23K  a=800K  c=27315K\n\nWhich gives a reasonable fit to experimental data of granodioritic composition (Piwinskii and Wyllie, 1968):\n\n(Image: MeltParam_Carrichi)\n\nReferences\n\nSimpson G. (2017) Practical finite element modelling in Earth Sciences Using MATLAB.\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_5thOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_5thOrder","text":"MeltingParam_5thOrder(a,b,c,d,e,f,T_s,T_l)\n\nUses a 5th order polynomial to describe the melt fraction phi between solidus temperature T_s and liquidus temperature T_l\n\n    phi = a T^5 + b T^4 + c T^3 + d T^2 + e T + f  textrm   for    T_s  T  T_l\n\n    phi = 1  textrm   if    TT_l\n\n    phi = 0  textrm   if    TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_5thOrder)\n\nThe default values are for a composite liquid-line-of-descent:\n\nthe upper part is for Andesite from: (Blatter, D. L. & Carmichael, I. S. (2001) Hydrous phase equilibria of a Mexican highsilica andesite: a candidate for a mantle origin? Geochim. Cosmochim. Acta 65, 4043–4065\nthe lower part is extrapolated to the granitic minimum using the Marxer & Ulmer LLD for Andesite (Marxer, F. & Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. Contributions Mineral. Petrol. 174, 84)\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_4thOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_4thOrder","text":"MeltingParam_4thOrder(b,c,d,e,f,T_s,T_l)\n\nUses a 4th order polynomial to describe the melt fraction phi between solidus temperature T_s and liquidus temperature T_l\n\n    phi = b T^4 + c T^3 + d T^2 + e T + f  textrm   for    T_s  T  T_l\n\n    phi = 1 textrm   if    TT_l\n\n    phi = 0  textrm   if    TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_4thOrder)\n\nThe default values are for Tonalite experiments from Marxer and Ulmer (2019):\n\nMarxer, F. & Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. Contributions Mineral. Petrol. 174, 84\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Quadratic","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Quadratic","text":"MeltingParam_Quadratic(T_s,T_l)\n\nQuadratic melt fraction parameterisation where melt fraction phi depends only on solidus (T_s) and liquidus (T_l) temperature:\n\n    phi = 10 - left( T_l - T over T_l - T_s right)^2\n\n    phi = 10 textrm if  TT_l\n\n    phi = 00 textrm if  TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_Quadratic)\n\nThis was used, among others, in Tierney et al. (2016) Geology\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Assimilation","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Assimilation","text":"MeltingParam_Assimilation(T_s,T_l,a)\n\nMelt fraction parameterisation that takes the assimilation of crustal host rocks into account, as used by Tierney et al. (2016) based upon a parameterisation of Spera and Bohrson (2001)\n\nHere, the fraction of molten and assimilated host rocks phi depends on the solidus (T_s) and liquidus (T_l) temperatures of the rocks, as well as on a parameter a=0005\n\n    X = left( T - T_s over T_l - T_s right)\n\n    phi = a cdot left( exp^2ln(100)X - 10 right) textrm if  X  05\n\n    phi = 1- a cdot exp^2ln(100)(1-X)  textrm if  X  05\n\n    phi = 10 textrm if  TT_l\n\n    phi = 00 textrm if  TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_Assimilation)\n\nThis was used, among others, in Tierney et al. (2016), who employed as default parameters:\n\n   T_s=97315 T_l=117315 a=0005\n\nReferences\n\nSpera, F.J., and Bohrson, W.A., 2001, Energy-Constrained Open-System Magmatic Processes I: General Model and Energy-Constrained Assimilation and Fractional Crystallization (EC- AFC) Formulation: Journal of Petrology, v. 42, p. 999–1018.\nTierney, C.R., Schmitt, A.K., Lovera, O.M., de Silva, S.L., 2016. Voluminous plutonism during volcanic quiescence revealed by thermochemical modeling of zircon. Geology 44, 683–686. https://doi.org/10.1130/G37968.1\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.SmoothMelting","page":"Partial Melting","title":"GeoParams.MeltingParam.SmoothMelting","text":"SmoothMelting(; p=MeltingParam_4thOrder(), k_sol=0.2/K,  k_liq=0.2/K)\n\nThis smoothens the melting parameterisation p around the solidus T_sol and liquidus T_liq using a smoothened Heaviside step functions for the solidus:\n\n    H_sol =  10 over  1 + exp( -2 k_sol (T - T_sol - 2 over k_sol) )  \n\nand liquidus:\n\n    H_liq =  10 - 10 over  1 + exp( -2 k_liq (T - T_liq + 2 over k_liq) )  \n\nThe resulting melt fraction phi is computed from the original melt fraction phi_0 (computed using one of the methods above) as:\n\n    phi =  phi_0 H_sol H_liq + 10 - H_liq\n\nThe width of the smoothening zones is controlled by k_sol k_liq (larger values = sharper boundary).\n\nThis is important, as jumps in the derivative dϕdT can cause numerical instabilities in latent heat computations, which is prevented with this smoothening.\n\nExample\n\nLet's consider a 4th order parameterisation:\n\njulia> using GLMakie, GeoParams\njulia> p = MeltingParam_4thOrder();\njulia> T= collect(650.0:1:1050.) .+ 273.15;\njulia> T,phi,dϕdT =  PlotMeltFraction(p,T=T);\n\nThe same but with smoothening:\n\njulia> p_s = SmoothMelting(p=MeltingParam_4thOrder(), k_liq=0.21/K);\n4th order polynomial melting curve: phi = -7.594512597174117e-10T^4 + 3.469192091489447e-6T^3 + -0.00592352980926T^2 + 4.482855645604745T + -1268.730161921053  963.15 K ≤ T ≤ 1270.15 K with smooth Heaviside function smoothening using k_sol=0.1 K⁻¹·⁰, k_liq=0.11 K⁻¹·⁰\njulia> T_s,phi_s,dϕdT_s =  PlotMeltFraction(p_s,T=T);\n\nWe can create plots of this with:\n\njulia> plt1 = plot(T.-273.15, phi, ylabel=\"Melt Fraction ϕ\", color=:red, label=\"original\", xlabel=\"Temperature [C]\")\njulia> plt1 = plot(plt1, T.-273.15, phi_s,  color=:black, label=\"smoothened\", legend=:bottomright)\njulia> plt2 = plot(T.-273.15, dϕdT, ylabel=\"dϕ/dT\", color=:red, label=\"original\", xlabel=\"Temperature [C]\")\njulia> plt2 = plot(plt2, T.-273.15, dϕdT_s,  color=:black, label=\"smoothened\", legend=:topright)\njulia> plot!(plt1,plt2,   xlabel=\"Temperature [C]\", layout=(2,1))\n\nThe derivative no longer has a jump now:\n\n(Image: MeltingParam_Smooth)\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#Computational-routines","page":"Partial Melting","title":"Computational routines","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"To compute the melt fraction at given T and P, use:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.compute_meltfraction!\nGeoParams.MeltingParam.compute_meltfraction","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction!","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction!","text":"compute_meltfraction!(ϕ::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T:AbstractArray{<:AbstractFloat}, p::PhaseDiagram_LookupTable)\n\nIn-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified.\n\n\n\n\n\ncompute_meltfraction(ϕ::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction","text":"compute_meltfraction(P,T, p::AbstractPhaseDiagramsStruct)\n\nComputes melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified.\n\n\n\n\n\nϕ = compute_meltfraction(Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"You can also obtain the derivative of melt fraction versus temperature with (useful to compute latent heat effects):","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.compute_dϕdT!\nGeoParams.MeltingParam.compute_dϕdT","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.compute_dϕdT!","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_dϕdT!","text":"compute_dϕdT!(ϕ::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputates the derivative of melt fraction ϕ versus temperature T, partial phi over partial T for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays. This is employed, for example, in computing latent heat terms in an implicit manner.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#GeoParams.MeltingParam.compute_dϕdT","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_dϕdT","text":"compute_dϕdT(P,T, p::AbstractPhaseDiagramsStruct)\n\nComputes derivative of melt fraction vs T in case we use a phase diagram lookup table. The table should have the column :meltFrac specified. The derivative is computed by finite differencing.\n\n\n\n\n\nϕ = compute_dϕdT(Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputates the derivative of melt fraction ϕ versus temperature T for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays. This is employed in computing latent heat terms in an implicit manner, for example\n\n\n\n\n\n","category":"function"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"Also note that phase diagrams can be imported using PerpleX_LaMEM_Diagram, which may also have melt content information. The computational routines work with that as well.","category":"page"},{"location":"man/melting/#Plotting-routines","page":"Partial Melting","title":"Plotting routines","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"You can use the routine PlotMeltFraction to create a plot, provided that the GLMakie package has been loaded","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.PlotMeltFraction","category":"page"},{"location":"man/melting/#GeoParams.PlotMeltFraction","page":"Partial Melting","title":"GeoParams.PlotMeltFraction","text":"T,phi,plt = PlotMeltFraction(p::AbstractMeltingParam; T=nothing, plt=nothing, lbl=nothing)\n\nCreates a plot of temperature T vs. melt fraction, as specified in p. The 1D curve can be evaluated at a specific pressure P which can be given as a scalar or as an array of the same size as T\n\nOptional parameters\n\nT: temperature range\nP: pressure\nplt: a previously generated plotting object\nlbl: label of the curve\n\nExample\n\njulia> p          =  MeltingParam_Caricchi()\njulia> T,phi,dϕdT =  PlotMeltFraction(p)\n\nyou can now save the figure to disk with:\n\njulia> using Plots\njulia> savefig(plt,\"MeltFraction.png\")\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#D-Strength-envelope","page":"1D Strength Envelope","title":"1D Strength envelope","text":"","category":"section"},{"location":"man/strengthenvelope/","page":"1D Strength Envelope","title":"1D Strength Envelope","text":"We provide a routine for computing a 1D strength envelope and the tools for setting up a temperature structure and lithostatic pressure profile.","category":"page"},{"location":"man/strengthenvelope/","page":"1D Strength Envelope","title":"1D Strength Envelope","text":"GeoParams.ConstTemp\nGeoParams.LinTemp\nGeoParams.HalfspaceCoolTemp\nGeoParams.CompTempStruct\nGeoParams.LithPres\nGeoParams.StrengthEnvelopeComp\nGeoParams.StrengthEnvelopePlot\n![XMasTree](../assets/XMasTree.png)","category":"page"},{"location":"man/strengthenvelope/#GeoParams.ConstTemp","page":"1D Strength Envelope","title":"GeoParams.ConstTemp","text":"ConstTemp(T=1000)\n\nSets a constant temperature inside the box\n\nParameters:\n\nT : the value\n\n\n\n\n\n","category":"type"},{"location":"man/strengthenvelope/#GeoParams.LinTemp","page":"1D Strength Envelope","title":"GeoParams.LinTemp","text":"LinTemp(Ttop=0, Tbot=1000)\n\nSets a linear temperature structure from top to bottom\n\nParameters:\n\nTtop: the value @ the top\nTbot: the value @ the bottom\n\n\n\n\n\n","category":"type"},{"location":"man/strengthenvelope/#GeoParams.HalfspaceCoolTemp","page":"1D Strength Envelope","title":"GeoParams.HalfspaceCoolTemp","text":"HalfspaceCoolTemp(Tsurface=0, Tmantle=1350, Age=60, Adiabat=0)\n\nSets a halfspace temperature structure in plate\n\nParameters:\n\nTsurface: surface temperature [C]\nTmantle:  mantle temperature [C]\nAge:      Thermal Age of plate [Myrs]\nAdiabat:  Mantle Adiabat [K/km]\n\n\n\n\n\n","category":"type"},{"location":"man/strengthenvelope/#GeoParams.CompTempStruct","page":"1D Strength Envelope","title":"GeoParams.CompTempStruct","text":"CompTempStruct(Z, s::AbstractTempStruct)\n\nReturns a temperature vector that matches the coordinate vector and temperature structure that were passed in\n\nParameters:\n\nZ: vector with depth coordinates\ns: Temperature structure (CostTemp, LinTemp, HalfspaceCoolTemp)\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#GeoParams.LithPres","page":"1D Strength Envelope","title":"GeoParams.LithPres","text":"LithPres(MatParam, Phases, ρ, T, dz, g)\n\nIteratively solves a 1D lithostatic pressure profile (compatible with temperature- and pressure-dependent densities)\n\nParameters:\n\nMatParam: a tuple of materials (including the following properties: Phase, Density)\nPhases:   vector with the distribution of phases\nρ:        density vector for initial guess(can be zeros)\nT:        temperature vector\ndz:       grid spacing\ng:        gravitational acceleration\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#GeoParams.StrengthEnvelopeComp","page":"1D Strength Envelope","title":"GeoParams.StrengthEnvelopeComp","text":"StrengthEnvelopeComp(MatParam::NTuple{N, AbstractMaterialParamsStruct}, Thickness::Vector{U}, TempType::AbstractTempStruct=LinTemp(0C, 800C), ε=1e-15/s, nz::Int64=101) where {N, U}\n\nCalculates a 1D strength envelope. Pressure used for Drucker Prager plasticity is lithostatic. To visualize the results in a GUI, use StrengthEnvelopePlot.\n\nParameters:\n\nMatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)\nThickness: a vector listing the thicknesses of the respective layers (should carry units)\nTempType:  the type of temperature profile (ConstTemp(), LinTemp(), HalfspaceCoolTemp())\nε:         background strainrate\nnz:        optional argument controlling the number of points along the profile (default = 101)\n\nExample:\n\njulia> using GLMakie\njulia> MatParam = (SetMaterialParams(Name=\"UC\", Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(\"Wet Quartzite | Ueda et al. (2008)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),\n                   SetMaterialParams(Name=\"MC\", Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(\"Plagioclase An75 | Ji and Zhao (1993)\"), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),\n                   SetMaterialParams(Name=\"LC\", Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(\"Maryland strong diabase | Mackwell et al. (1998)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));\njulia> Thickness = [15,10,15]*km;\n\njulia> StrengthEnvelopeComp(MatParam, Thickness, LinTemp(), ε=1e-15/s)\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#GeoParams.StrengthEnvelopePlot","page":"1D Strength Envelope","title":"GeoParams.StrengthEnvelopePlot","text":"StrengthEnvelopePlot(MatParam, Thickness; TempType, nz)\n\nRequires GLMakie\n\nCreates a GUI that plots a 1D strength envelope. In the GUI, temperature profile and strain rate can be adjusted. The Drucker-Prager plasticity uses lithostatic pressure.\n\nParameters:\n\nMatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)\nThickness: a vector listing the thicknesses of the respective layers (should carry units)\nTempType:  the type of temperature profile (LinTemp=default, HalfspaceCoolTemp, ConstTemp)\nnz:        optional argument controlling the number of points along the profile (default = 101)\n\nExample:\n\njulia> using GLMakie\njulia> MatParam = (SetMaterialParams(Name=\"UC\", Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(\"Wet Quartzite | Ueda et al. (2008)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),\n                   SetMaterialParams(Name=\"MC\", Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(\"Plagioclase An75 | Ji and Zhao (1993)\"), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),\n                   SetMaterialParams(Name=\"LC\", Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(\"Maryland strong diabase | Mackwell et al. (1998)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));\njulia> Thickness = [15,10,15]*km;\n\njulia> StrengthEnvelopePlot(MatParam, Thickness, LinTemp())\n\n\n\n\n\n","category":"function"},{"location":"man/elasticity/#Elasticity","page":"Elasticity","title":"Elasticity","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"Elasticity is, in geodynamics, often used in combination with viscous and plastic rheology.","category":"page"},{"location":"man/elasticity/#Implemented-laws","page":"Elasticity","title":"Implemented laws","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"We provide the following elastic constitutive relationships:","category":"page"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"GeoParams.ConstantElasticity\nGeoParams.SetConstantElasticity","category":"page"},{"location":"man/elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity","page":"Elasticity","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity","text":"ConstantElasticity(G, ν, K, E)\n\nStructure that holds parameters for constant, isotropic, linear elasticity.\n\n\n\n\n\n","category":"type"},{"location":"man/elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity","page":"Elasticity","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity","text":"SetConstantElasticity(; G=nothing, ν=nothing, E=nothing, Kb=nothing)\n\nThis allows setting elastic parameters by specifying 2 out of the 4 elastic parameters G (Elastic shear modulus), ν (Poisson's ratio), E (Young's modulus), or Kb (bulk modulus).\n\n\n\n\n\n","category":"function"},{"location":"man/elasticity/#Computational-routines","page":"Elasticity","title":"Computational routines","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"We can compute the elastic strainrate with:","category":"page"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"GeoParams.compute_εII\nGeoParams.compute_εII!","category":"page"},{"location":"man/viscosity/#Effective-viscosity-computations","page":"Viscosity","title":"Effective viscosity computations","text":"","category":"section"},{"location":"man/viscosity/","page":"Viscosity","title":"Viscosity","text":"GeoParams.compute_viscosity_εII\nGeoParams.compute_viscosity_τII","category":"page"},{"location":"man/viscosity/#GeoParams.compute_viscosity_εII","page":"Viscosity","title":"GeoParams.compute_viscosity_εII","text":"compute_viscosity_εII(s::AbstractConstitutiveLaw, εII, kwargs...)\n\nCompute effective viscosity given a 2nd invariant of the deviatoric strain rate tensor, extra parameters are passed as a named tuple, e.g., (;T=T) \n\n\n\n\n\n","category":"function"},{"location":"man/viscosity/#GeoParams.compute_viscosity_τII","page":"Viscosity","title":"GeoParams.compute_viscosity_τII","text":"compute_viscosity_τII(s::AbstractConstitutiveLaw, τII, kwargs...)\n\nCompute effective viscosity given a 2nd invariant of the deviatoric stress tensor and, extra parameters are passed as a named tuple, e.g., (;T=T) \n\n\n\n\n\n","category":"function"},{"location":"man/shearheating/#Shear-heating","page":"Shear heating","title":"Shear heating","text":"","category":"section"},{"location":"man/shearheating/#Methods","page":"Shear heating","title":"Methods","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"Heat caused by non-recoverable deformation can be specified in ","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","text":"ConstantShearheating(Χ=0.0NoUnits)\n\nSet the shear heating efficiency [0-1] parameter\n\nΧ  = cst\n\nwhere Chi is the shear heating efficiency [NoUnits]\n\nShear heating is computed as\n\nH_s = Chi cdot tau_ij(dotvarepsilon_ij - dotvarepsilon^el_ij)\n\n\n\n\n\n","category":"type"},{"location":"man/shearheating/#Computational-routines","page":"Shear heating","title":"Computational routines","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"To compute, use this:","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.compute_shearheating\nGeoParams.MaterialParameters.Shearheating.compute_shearheating!","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating","text":"H_s = compute_shearheating(s:<AbstractShearheating, τ, ε, ε_el)\n\nComputes the shear heating source term\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\n\n\n\n\nH_s = ComputeShearheating(s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating!","text":"compute_shearheating!(H_s, s:<AbstractShearheating,  τ, ε, ε_el)\n\nComputes the shear heating source term in-place\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\nNOTE: The shear heating terms require the full deviatoric stress & strain rate tensors, i.e.:\n\n2D tau_ij = left(\n                beginmatrix\n                    tau_xx  tau_xz \n                    tau_zx  tau_zz\n                endmatrix\n            right)\n\nSince tau_zx=tau_xz, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used!\n\n\n\n\n\ncompute_shearheating!(H_s, s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term H_s in-place when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#Nondimensionalization","page":"Nondimensionalization","title":"Nondimensionalization","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between GEO, SI or NO units:","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"SI units assume all input and output is in SI units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).\nGEO units uses SI units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as Myrs,km or MPa\nNO units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that velocity is given in m/s).","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"A dimensional parameter can be transformed into a non-dimensional one with nondimensionalize.","category":"page"},{"location":"man/nondimensionalize/#Specify-characteristic-values","page":"Nondimensionalization","title":"Specify characteristic values","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Characteristic values can be defined in 3 ways.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"GeoParams.Units\nAbstractGeoUnit\nGeoUnit\nGeoUnits\nGEO_units\nSI_units\nNO_units\n@unpack_val\n@unpack_units","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units","page":"Nondimensionalization","title":"GeoParams.Units","text":"This provides units and creates a non-dimensionalization object\n\n\n\n\n\n","category":"module"},{"location":"man/nondimensionalize/#GeoParams.Units.AbstractGeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.AbstractGeoUnit","text":"AbstractGeoUnit\n\nAbstract supertype for geo units.\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnit","text":"Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.\n\nHaving that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.\nWith the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnits","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnits","text":"GeoUnits\n\nStructure that holds parameters used for non-dimensionalization\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GEO_units","page":"Nondimensionalization","title":"GeoParams.Units.GEO_units","text":"GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)\n\nCreates a non-dimensionalization object using GEO units.\n\nGEO units implies that upon dimensionalization, time will be in Myrs, length in km, stress in MPa, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (km or m), provided the unit is specified.\n\nExamples:\n\njulia> CharUnits = GEO_units()\nEmploying GEO units \nCharacteristic values: \n         length:      1000 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\njulia> CharUnits.velocity\n1.0e-7 m s⁻¹\n\nIf we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic length:\n\njulia> CharUnits = GEO_units(length=10km)\nEmploying GEO units \nCharacteristic values: \n         length:      10 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.SI_units","page":"Nondimensionalization","title":"GeoParams.Units.SI_units","text":"CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)\n\nSpecify the characteristic values using SI units \n\nExamples:\n\njulia> CharUnits = SI_units(length=1000m)\nEmploying SI units \nCharacteristic values: \n         length:      1000 m\n         time:        1.0e19 s\n         stress:      10 Pa\n         temperature: 1000.0 K\n\nNote that the same can be achieved if the input is given in km:\n\njulia> CharUnits = SI_units(length=1km)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.NO_units","page":"Nondimensionalization","title":"GeoParams.Units.NO_units","text":"CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)\n\nSpecify the characteristic values in non-dimensional units\n\nExamples:\n\njulia> using GeoParams;\njulia> CharUnits = NO_units()\nEmploying NONE units \nCharacteristic values: \n         length:      1\n         time:        1.0 \n         stress:      1\n         temperature: 1.0\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_val","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_val","text":"This unpacks the numerical value of `GeoUnit` in a structure, without the units.\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_val ρ,α = r\njulia> α\n4.0e-5\njulia> typeof(α)\nFloat64\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_units","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_units","text":"This unpacks the numerical value with units of `GeoUnit` parameters in a structure\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_units ρ,α = r\njulia> α\n4.0e-5 K⁻¹·⁰\njulia> typeof(α)\nQuantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#(Non)-dimensionalize-parameters","page":"Nondimensionalization","title":"(Non)-dimensionalize parameters","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"nondimensionalize\ndimensionalize\nisDimensional","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units.nondimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.nondimensionalize","text":"nondimensionalize(param, CharUnits::GeoUnits{TYPE})\n\nNondimensionalizes param using the characteristic values specified in CharUnits\n\nExample 1\n\njulia> using GeoParams;\njulia> CharUnits =   GEO_units();\njulia> v         =   3cm/yr\n3 cm yr⁻¹ \njulia> v_ND      =   nondimensionalize(v, CharUnits) \n0.009506426344208684\n\nExample 2\n\nIn geodynamics one sometimes encounters more funky units\n\njulia> CharUnits =   GEO_units();\njulia> A         =   6.3e-2MPa^-3.05*s^-1\n0.063 MPa⁻³·⁰⁵ s⁻¹\njulia> A_ND      =   nondimensionalize(A, CharUnits) \n7.068716262102384e14\n\nIn case you are interested to see how the units of A look like in different units, use this function from the Unitful package:\n\njulia> uconvert(u\"Pa^-3.05*s^-1\",A) \n3.157479571851836e-20 Pa⁻³·⁰⁵\n\nand to see it decomposed in the basic SI units of length, mass and time:\n\njulia> upreferred(A)\n3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵\n\n\n\n\n\nparam = nondimensionalize(param::NTuple{N,Quantity}, g::GeoUnits{TYPE})\n\nnondimensionalizes a tuple of parameters    \n\n\n\n\n\nMatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nNon-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\n\n\nnondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nnondimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\nMatParam_ND = nondimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)\n\nNon-dimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.dimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.dimensionalize","text":"dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes param into the dimensions param_dim using the characteristic values specified in CharUnits.  \n\nExample\n\njulia> CharUnits =   GEO_units();\njulia> v_ND      =   nondimensionalize(3cm/yr, CharUnits) \n0.031688087814028945\njulia> v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) \n3.0 cm yr⁻¹\n\n\n\n\n\ndimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\nDimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nDimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\ndimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)\n\ndimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.isDimensional","page":"Nondimensionalization","title":"GeoParams.Units.isDimensional","text":"isDimensional(MatParam::AbstractMaterialParam)\n\ntrue if MatParam is in dimensional units.    \n\n\n\n\n\n","category":"function"},{"location":"man/density/#Density","page":"Density","title":"Density","text":"","category":"section"},{"location":"man/density/#Methods","page":"Density","title":"Methods","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"The density equation of state can be specified in a number of ways","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.ConstantDensity\nGeoParams.MaterialParameters.Density.PT_Density\nGeoParams.MaterialParameters.Density.Compressible_Density","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.ConstantDensity","page":"Density","title":"GeoParams.MaterialParameters.Density.ConstantDensity","text":"ConstantDensity(ρ=2900kg/m^3)\n\nSet a constant density:\n\n    rho  = cst\n\nwhere rho is the density [kgm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.PT_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.PT_Density","text":"PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)\n\nSet a pressure and temperature-dependent density:\n\n    rho  = rho_0 (10 - alpha (T-T_0) + beta  (P-P_0) )  \n\nwhere rho_0 is the density [kgm^3] at reference temperature T_0 and pressure P_0, alpha is the temperature dependence of density and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.Compressible_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.Compressible_Density","text":"Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)\n\nSet a pressure-dependent density:\n\n    rho  = rho_0 exp(β*(P - P_0))  \n\nwhere rho_0 is the density [kgm^3] at reference pressure P_0 and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#Computational-routines","page":"Density","title":"Computational routines","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"To evaluate density within a user routine, use this:","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.compute_density\nGeoParams.MaterialParameters.Density.compute_density!","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density","text":"compute_density(P,T, s::PhaseDiagram_LookupTable)\n\nInterpolates density as a function of T,P from a lookup table  \n\n\n\n\n\n","category":"function"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density!","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density!","text":"compute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I<:Integer}\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\nExample\n\njulia> MatParam = (SetMaterialParams(Name=\"Mantle\", Phase=1,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                        Density   = PT_Density()\n                        ),\n                    SetMaterialParams(Name=\"Crust\", Phase=2,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),\n                        Density   = ConstantDensity(ρ=2900kg/m^3))\n                  );\njulia> Phases = ones(Int64,400,400);\njulia> Phases[:,20:end] .= 2\njulia> rho     = zeros(size(Phases))\njulia> T       =  ones(size(Phases))\njulia> P       =  ones(size(Phases))*10\njulia> args = (P=P, T=T)\njulia> compute_density!(rho, MatParam, Phases, args)\njulia> rho\n400×400 Matrix{Float64}:\n2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮                            \n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n\nThe routine is made to minimize allocations:\n\njulia> using BenchmarkTools\njulia> @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)\n    203.468 μs (0 allocations: 0 bytes)\n\n_____________________________________________________________________________________________________________________________   \n\ncompute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/density/","page":"Density","title":"Density","text":"Note that density values are usually not used in itself in the governing PDE's, but usually in combination with other parameters, such as rho g or rho c_p. the non-dimensional value of rho may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.","category":"page"},{"location":"man/customrheology/#User-defined-rheology","page":"Custom rheology","title":"User-defined rheology","text":"","category":"section"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"CustomRheology allows the user to interface with GeoParams.jl API for rheology calculations: ","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"struct CustomRheology{F1, F2, T} <: AbstractCreepLaw\n    strain::F1\n    stress::F2\n    args::T\nend","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"where strain and stress are functions that compute the strain rate and deviatoric stress tensors, respectively, and args is a NamedTuple containing any constant (i.e. immutable) physical parameters needed by our CustomRheology. ","category":"page"},{"location":"man/customrheology/#Example:-Arrhenious-type-rheology","page":"Custom rheology","title":"Example: Arrhenious-type rheology","text":"","category":"section"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"The deviatoric stress tau_ij and strain rate tensors dotvarepsilon_ij are simply tau_ij = 2 eta dotvarepsilon_ij and dotvarepsilon_ij  = tau_ij  over 2 eta","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"and the viscosity eta is temperature-dependant     eta = eta_0  expleft(fracET+T_o-fracET_eta+T_oright)","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"where eta_0 and T_eta are the respective reference viscosity and temperature, T_o is the offset temperature, T is the local temperature, and E is activation energy. ","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Before defining the functions to compute tau and dotvarepsilon, it is convenient to define a helper function to compute the viscosity:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"@inline function custom_viscosity(\n    a::CustomRheology; T = 0.0, kwargs...\n)\n    (; η0, E, To, Tη) = a.args\n    η = η0 * exp(E / (T + To) - E / (Tη + To))\n    return  η\nend","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Then we just need to define two simple functions to compue the second invariants of tau_ij and dotvarepsilon_ij:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"# function to compute deviatoric stress\n@inline function custom_τII(\n    a::CustomRheology, EpsII; kwargs...\n)\n    η = custom_viscosity(a; kwargs...)\n    return 2.0 * (η * EpsII)\nend\n\n# function to compute strain rate\n@inline function custom_εII(\n    a::CustomRheology, TauII; kwargs...\n)\n    η = custom_viscosity(a; kwargs...)\n    return (TauII / η) * 0.5\nend","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Note that the key word argument kwargs... is needed in all the above functions for compatibility with GeoParams.jl. ","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Finally, we need a NamedTuple containing the physical parameters needed by custom_τII and custom_εII:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"# constant parameters, these are typically wrapped into a struct (compulsory)\nparameters = (;\n    η0 = 1.0,\n    E = 23.03,\n    To = 1.0,\n    Tη = 1.0,\n)","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Then the CustomRheology object is created","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"a = CustomRheology(custom_εII, custom_τII, parameters)","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Now we can use our new rheology object with GeoParams.jl methods:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"julia> args = (; T=0.5)\n(T = 0.5,)\n\njulia> τII, εII = 1.5,  0.5\n(1.5, 0.5)\n\njulia> ε = compute_εII(v, τII, args)\n0.016147090412110487\n\njulia> τ = compute_τII(v, εII, args)\n46.44799656521971\n\njulia> dεdτ = dεII_dτII(v, τII, args)\n0.010764726941406991\n\njulia> dτdε = dτII_dεII(v, εII, args)\n92.89599313043942","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"And also works for composite rheologies:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"julia> el = ConstantElasticity(; G=1.0)\nLinear elasticity with shear modulus: G = 1.0, Poisson's ratio: ν = 0.5, bulk modulus: Kb = Inf and Young's module: E=NaN\n\njulia> c = CompositeRheology(v, el)\n--?????----/\\/\\/--\n\njulia> args = (; dt=Inf, T=0.5)\n(dt = Inf, T = 0.5)\n\njulia> ε = compute_εII(c, τII, args)\n0.016147090412110487\n\njulia> τ = compute_τII(c, εII, args)\n46.44799656521971","category":"page"},{"location":"man/gravity/#Gravitational-acceleration","page":"Gravity","title":"Gravitational acceleration","text":"","category":"section"},{"location":"man/gravity/#Methods","page":"Gravity","title":"Methods","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"Gravitational acceleration is defined as ","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","text":"GravityConstant(g=9.81m/s^2)\n\nSet a constant value for the gravitational acceleration:\n\n    g  = 981 m s^-2\n\n\n\n\n\n","category":"type"},{"location":"man/gravity/#Computational-routines","page":"Gravity","title":"Computational routines","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"To compute, use this:","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","text":"compute_gravity(s:<AbstractGravity)\n\nReturns the gravitational acceleration \n\n\n\n\n\n","category":"function"},{"location":"#GeoParams.jl","page":"Home","title":"GeoParams.jl","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:","category":"page"},{"location":"","page":"Home","title":"Home","text":"Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).\nMaterial parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. ","category":"page"},{"location":"","page":"Home","title":"Home","text":"We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).","category":"page"},{"location":"man/conductivity/#Conductivity","page":"Conductivity","title":"Conductivity","text":"","category":"section"},{"location":"man/conductivity/#Methods","page":"Conductivity","title":"Methods","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"Thermal conductivity is defined as ","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity\nGeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington\nGeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised\nGeoParams.MaterialParameters.Conductivity.TP_Conductivity\nGeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity","text":"ConstantConductivity(k=3.0W/m/K)\n\nSet a constant conductivity\n\n    k  = cst\n\nwhere k is the thermal conductivity [WmK].\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington","text":"T_Conductivity_Whittington()\n\nSets a temperature-dependent conductivity following the parameterization of Whittington, A.G., Hofmeister, A.M., Nabelek, P.I., 2009. Temperature-dependent thermal diffusivity of the Earth’s crust and implications for magmatism. Nature 458, 319–321. https://doi.org/10.1038/nature07818. Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us to compute\n\n    Cp = a + b T - cT^2\n\n    kappa = dT - e textrm if  T=846K\n\n    kappa = f - g*T textrm if  T846K\n\n    rho = 2700 kgm^3\n\n    k = kappa rho Cp\n\nwhere Cp is the heat capacity [JmolK], and abc are parameters that dependent on the temperature T:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nd = 576.3m^2/s*K\ne = 0.062m^2/s\nf = 0.732m^2/s\ng = 0.000135m^2/s/K\n\nThis looks like:\n\n(Image: subet1)\n\nExample\n\njulia> using GLMakie, GeoParams\njulia> p=T_Conductivity_Whittington();\njulia> T,k,plt = PlotConductivity(p)\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised","text":"T_Conductivity_Whittington_parameterised()\n\nSets a temperature-dependent conductivity that is  parameterization after Whittington, et al.  2009\n\nThe original parameterization involves quite a few parameters; this is a polynomial fit that is roughly valid from 0-1000 Celsius\n\n    k WmK = -2 10^-9 (T-Ts)^3 + 6 10^-6 (T-Ts)^2 - 00062 (T-Ts) + 4\n\n    Ts = 27315 K\n\nwhere T[K] is the temperature in Kelvin (or the nondimensional equivalent of it).\n\nThe comparison of this parameterisation vs. the original one is: (Image: subet1)\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.TP_Conductivity","text":"TP_Conductivity()\n\nSets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for\n\n    k = left( a_k +  b_k over T + c_k right) (1 + d_k P)\n\nwhere k is the conductivity [WKm], and a_kb_kc_kd_k are parameters that dependent on the temperature T and pressure P:\n\na_k = 1.18Watt/K/m\nb_k = 474Watt/m\nc_k = 77K\nd_k = 0/MPa\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","text":"Set_TP_Conductivity[\"Name of temperature(-pressure) dependent conductivity\"]\n\nThis is a dictionary with pre-defined laws:\n\n\"UpperCrust\"\n\"LowerCrust\"\n\"OceanicCrust\"\n\"Mantle\"\n\nExample\n\njulia> k=Set_TP_Conductivity[\"Mantle\"]\nT/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)\n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#Computational-routines","page":"Conductivity","title":"Computational routines","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"To compute, use this:","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.compute_conductivity\nGeoParams.MaterialParameters.Conductivity.compute_conductivity!","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity","text":"k = compute_conductivity(P, T, s:<AbstractConductivity)\n\nReturns the thermal conductivity k at any temperature T and pressure P using any of the parameterizations implemented.\n\nCurrently available:\n\nConstantConductivity\nT_Conductivity_Whittington\nTP_Conductivity\n\nExample\n\nUsing dimensional units\n\njulia> T  = (250:100:1250)*K;\njulia> cp = T_HeatCapacity_Whittington()\njulia> Cp = ComputeHeatCapacity(0,T,cp)\n\n\n\n\n\ncompute_conductivity!(K::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},Temp::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of conductivity K for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and Temp arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n_________________________________________________________________________________________________________\n\ncompute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity!","text":"compute_conductivity(k_array::AbstractArray{<:AbstractFloat,N},P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, s::ConstantConductivity) where N\n\nIn-place routine to compute constant conductivity\n\n\n\n\n\n","category":"function"}]
+}
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+    var option = $("<option value='#' selected='selected'>" + DOCUMENTER_CURRENT_VERSION + "</option>");
+    version_selector_select.append(option);
+  }
+
+  if (typeof DOC_VERSIONS !== 'undefined') {
+    var existing_versions = version_selector_select.children("option");
+    var existing_versions_texts = existing_versions.map(function(i,x){return x.text});
+    DOC_VERSIONS.forEach(function(each) {
+      var version_url = documenterBaseURL + "/../" + each;
+      var existing_id = $.inArray(each, existing_versions_texts);
+      // if not already in the version selector, add it as a new option,
+      // otherwise update the old option with the URL and enable it
+      if (existing_id == -1) {
+        var option = $("<option value='" + version_url + "'>" + each + "</option>");
+        version_selector_select.append(option);
+      } else {
+        var option = existing_versions[existing_id];
+        option.value = version_url;
+        option.disabled = false;
+      }
+    });
+  }
+
+  // only show the version selector if the selector has been populated
+  if (version_selector_select.children("option").length > 0) {
+    version_selector.toggleClass("visible");
+  }
+})
+
+})
diff --git a/v0.5.5/assets/logo.png b/v0.5.5/assets/logo.png
new file mode 100644
index 000000000..dae9e66cd
Binary files /dev/null and b/v0.5.5/assets/logo.png differ
diff --git a/v0.5.5/assets/logo_avatar.png b/v0.5.5/assets/logo_avatar.png
new file mode 100644
index 000000000..52bca2064
Binary files /dev/null and b/v0.5.5/assets/logo_avatar.png differ
diff --git a/v0.5.5/assets/search.js b/v0.5.5/assets/search.js
new file mode 100644
index 000000000..c133f7410
--- /dev/null
+++ b/v0.5.5/assets/search.js
@@ -0,0 +1,267 @@
+// Generated by Documenter.jl
+requirejs.config({
+  paths: {
+    'lunr': 'https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min',
+    'lodash': 'https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.21/lodash.min',
+    'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min',
+  }
+});
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'lunr', 'lodash'], function($, lunr, _) {
+
+$(document).ready(function() {
+  // parseUri 1.2.2
+  // (c) Steven Levithan <stevenlevithan.com>
+  // MIT License
+  function parseUri (str) {
+    var  o   = parseUri.options,
+      m   = o.parser[o.strictMode ? "strict" : "loose"].exec(str),
+      uri = {},
+      i   = 14;
+
+    while (i--) uri[o.key[i]] = m[i] || "";
+
+    uri[o.q.name] = {};
+    uri[o.key[12]].replace(o.q.parser, function ($0, $1, $2) {
+      if ($1) uri[o.q.name][$1] = $2;
+    });
+
+    return uri;
+  };
+  parseUri.options = {
+    strictMode: false,
+    key: ["source","protocol","authority","userInfo","user","password","host","port","relative","path","directory","file","query","anchor"],
+    q:   {
+      name:   "queryKey",
+      parser: /(?:^|&)([^&=]*)=?([^&]*)/g
+    },
+    parser: {
+      strict: /^(?:([^:\/?#]+):)?(?:\/\/((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?))?((((?:[^?#\/]*\/)*)([^?#]*))(?:\?([^#]*))?(?:#(.*))?)/,
+      loose:  /^(?:(?![^:@]+:[^:@\/]*@)([^:\/?#.]+):)?(?:\/\/)?((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?)(((\/(?:[^?#](?![^?#\/]*\.[^?#\/.]+(?:[?#]|$)))*\/?)?([^?#\/]*))(?:\?([^#]*))?(?:#(.*))?)/
+    }
+  };
+
+  $("#search-form").submit(function(e) {
+    e.preventDefault()
+  })
+
+  // list below is the lunr 2.1.3 list minus the intersect with names(Base)
+  // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with)
+  // ideally we'd just filter the original list but it's not available as a variable
+  lunr.stopWordFilter = lunr.generateStopWordFilter([
+    'a',
+    'able',
+    'about',
+    'across',
+    'after',
+    'almost',
+    'also',
+    'am',
+    'among',
+    'an',
+    'and',
+    'are',
+    'as',
+    'at',
+    'be',
+    'because',
+    'been',
+    'but',
+    'by',
+    'can',
+    'cannot',
+    'could',
+    'dear',
+    'did',
+    'does',
+    'either',
+    'ever',
+    'every',
+    'from',
+    'got',
+    'had',
+    'has',
+    'have',
+    'he',
+    'her',
+    'hers',
+    'him',
+    'his',
+    'how',
+    'however',
+    'i',
+    'if',
+    'into',
+    'it',
+    'its',
+    'just',
+    'least',
+    'like',
+    'likely',
+    'may',
+    'me',
+    'might',
+    'most',
+    'must',
+    'my',
+    'neither',
+    'no',
+    'nor',
+    'not',
+    'of',
+    'off',
+    'often',
+    'on',
+    'or',
+    'other',
+    'our',
+    'own',
+    'rather',
+    'said',
+    'say',
+    'says',
+    'she',
+    'should',
+    'since',
+    'so',
+    'some',
+    'than',
+    'that',
+    'the',
+    'their',
+    'them',
+    'then',
+    'there',
+    'these',
+    'they',
+    'this',
+    'tis',
+    'to',
+    'too',
+    'twas',
+    'us',
+    'wants',
+    'was',
+    'we',
+    'were',
+    'what',
+    'when',
+    'who',
+    'whom',
+    'why',
+    'will',
+    'would',
+    'yet',
+    'you',
+    'your'
+  ])
+
+  // add . as a separator, because otherwise "title": "Documenter.Anchors.add!"
+  // would not find anything if searching for "add!", only for the entire qualification
+  lunr.tokenizer.separator = /[\s\-\.]+/
+
+  // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names
+  lunr.trimmer = function (token) {
+    return token.update(function (s) {
+      return s.replace(/^[^a-zA-Z0-9@!]+/, '').replace(/[^a-zA-Z0-9@!]+$/, '')
+    })
+  }
+
+  lunr.Pipeline.registerFunction(lunr.stopWordFilter, 'juliaStopWordFilter')
+  lunr.Pipeline.registerFunction(lunr.trimmer, 'juliaTrimmer')
+
+  var index = lunr(function () {
+    this.ref('location')
+    this.field('title',{boost: 100})
+    this.field('text')
+    documenterSearchIndex['docs'].forEach(function(e) {
+        this.add(e)
+    }, this)
+  })
+  var store = {}
+
+  documenterSearchIndex['docs'].forEach(function(e) {
+      store[e.location] = {title: e.title, category: e.category, page: e.page}
+  })
+
+  $(function(){
+    searchresults = $('#documenter-search-results');
+    searchinfo = $('#documenter-search-info');
+    searchbox = $('#documenter-search-query');
+    searchform = $('.docs-search');
+    sidebar = $('.docs-sidebar');
+    function update_search(querystring) {
+      tokens = lunr.tokenizer(querystring)
+      results = index.query(function (q) {
+        tokens.forEach(function (t) {
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 100,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 10,
+            usePipeline: true,
+            editDistance: 2,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["text"],
+            boost: 1,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+        })
+      })
+      searchinfo.text("Number of results: " + results.length)
+      searchresults.empty()
+      results.forEach(function(result) {
+        data = store[result.ref]
+        link = $('<a class="docs-label">'+data.title+'</a>')
+        link.attr('href', documenterBaseURL+'/'+result.ref)
+        if (data.category != "page"){
+          cat = $('<span class="docs-category">('+data.category+', '+data.page+')</span>')
+        } else {
+          cat = $('<span class="docs-category">('+data.category+')</span>')
+        }
+        li = $('<li>').append(link).append(" ").append(cat)
+        searchresults.append(li)
+      })
+    }
+
+    function update_search_box() {
+      querystring = searchbox.val()
+      update_search(querystring)
+    }
+
+    searchbox.keyup(_.debounce(update_search_box, 250))
+    searchbox.change(update_search_box)
+
+    // Disable enter-key form submission for the searchbox on the search page
+    // and just re-run search rather than refresh the whole page.
+    searchform.keypress(
+      function(event){
+        if (event.which == '13') {
+          if (sidebar.hasClass('visible')) {
+            sidebar.removeClass('visible');
+          }
+          update_search_box();
+          event.preventDefault();
+        }
+      }
+    );
+
+    search_query_uri = parseUri(window.location).queryKey["q"]
+    if(search_query_uri !== undefined) {
+      search_query = decodeURIComponent(search_query_uri.replace(/\+/g, '%20'))
+      searchbox.val(search_query)
+    }
+    update_search_box();
+  })
+})
+
+})
diff --git a/v0.5.5/assets/themes/documenter-dark.css b/v0.5.5/assets/themes/documenter-dark.css
new file mode 100644
index 000000000..c94a294dc
--- /dev/null
+++ b/v0.5.5/assets/themes/documenter-dark.css
@@ -0,0 +1,7 @@
+@keyframes spinAround{from{transform:rotate(0deg)}to{transform:rotate(359deg)}}html.theme--documenter-dark .tabs,html.theme--documenter-dark .pagination-previous,html.theme--documenter-dark .pagination-next,html.theme--documenter-dark .pagination-link,html.theme--documenter-dark .pagination-ellipsis,html.theme--documenter-dark .breadcrumb,html.theme--documenter-dark .file,html.theme--documenter-dark .button,.is-unselectable,html.theme--documenter-dark .modal-close,html.theme--documenter-dark .delete{-webkit-touch-callout:none;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none}html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after,html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after{border:3px solid rgba(0,0,0,0);border-radius:2px;border-right:0;border-top:0;content:" ";display:block;height:0.625em;margin-top:-0.4375em;pointer-events:none;position:absolute;top:50%;transform:rotate(-45deg);transform-origin:center;width:0.625em}html.theme--documenter-dark .admonition:not(:last-child),html.theme--documenter-dark .tabs:not(:last-child),html.theme--documenter-dark .message:not(:last-child),html.theme--documenter-dark .list:not(:last-child),html.theme--documenter-dark .level:not(:last-child),html.theme--documenter-dark .breadcrumb:not(:last-child),html.theme--documenter-dark .highlight:not(:last-child),html.theme--documenter-dark .block:not(:last-child),html.theme--documenter-dark .title:not(:last-child),html.theme--documenter-dark .subtitle:not(:last-child),html.theme--documenter-dark .table-container:not(:last-child),html.theme--documenter-dark .table:not(:last-child),html.theme--documenter-dark .progress:not(:last-child),html.theme--documenter-dark .notification:not(:last-child),html.theme--documenter-dark .content:not(:last-child),html.theme--documenter-dark .box:not(:last-child){margin-bottom:1.5rem}html.theme--documenter-dark .modal-close,html.theme--documenter-dark .delete{-moz-appearance:none;-webkit-appearance:none;background-color:rgba(10,10,10,0.2);border:none;border-radius:290486px;cursor:pointer;pointer-events:auto;display:inline-block;flex-grow:0;flex-shrink:0;font-size:0;height:20px;max-height:20px;max-width:20px;min-height:20px;min-width:20px;outline:none;position:relative;vertical-align:top;width:20px}html.theme--documenter-dark .modal-close::before,html.theme--documenter-dark .delete::before,html.theme--documenter-dark .modal-close::after,html.theme--documenter-dark .delete::after{background-color:#fff;content:"";display:block;left:50%;position:absolute;top:50%;transform:translateX(-50%) translateY(-50%) rotate(45deg);transform-origin:center center}html.theme--documenter-dark .modal-close::before,html.theme--documenter-dark .delete::before{height:2px;width:50%}html.theme--documenter-dark .modal-close::after,html.theme--documenter-dark .delete::after{height:50%;width:2px}html.theme--documenter-dark .modal-close:hover,html.theme--documenter-dark .delete:hover,html.theme--documenter-dark .modal-close:focus,html.theme--documenter-dark .delete:focus{background-color:rgba(10,10,10,0.3)}html.theme--documenter-dark .modal-close:active,html.theme--documenter-dark .delete:active{background-color:rgba(10,10,10,0.4)}html.theme--documenter-dark .is-small.modal-close,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.modal-close,html.theme--documenter-dark .is-small.delete,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.delete{height:16px;max-height:16px;max-width:16px;min-height:16px;min-width:16px;width:16px}html.theme--documenter-dark .is-medium.modal-close,html.theme--documenter-dark .is-medium.delete{height:24px;max-height:24px;max-width:24px;min-height:24px;min-width:24px;width:24px}html.theme--documenter-dark .is-large.modal-close,html.theme--documenter-dark .is-large.delete{height:32px;max-height:32px;max-width:32px;min-height:32px;min-width:32px;width:32px}html.theme--documenter-dark .control.is-loading::after,html.theme--documenter-dark .select.is-loading::after,html.theme--documenter-dark .loader,html.theme--documenter-dark .button.is-loading::after{animation:spinAround 500ms infinite linear;border:2px solid #dbdee0;border-radius:290486px;border-right-color:transparent;border-top-color:transparent;content:"";display:block;height:1em;position:relative;width:1em}html.theme--documenter-dark .hero-video,html.theme--documenter-dark .modal-background,html.theme--documenter-dark .modal,html.theme--documenter-dark .image.is-square img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--documenter-dark .image.is-square .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--documenter-dark .image.is-1by1 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--documenter-dark .image.is-1by1 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--documenter-dark .image.is-5by4 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by4 img,html.theme--documenter-dark .image.is-5by4 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by4 .has-ratio,html.theme--documenter-dark .image.is-4by3 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by3 img,html.theme--documenter-dark .image.is-4by3 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by3 .has-ratio,html.theme--documenter-dark .image.is-3by2 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by2 img,html.theme--documenter-dark .image.is-3by2 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by2 .has-ratio,html.theme--documenter-dark .image.is-5by3 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--documenter-dark .image.is-5by3 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--documenter-dark .image.is-16by9 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--documenter-dark .image.is-16by9 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--documenter-dark .image.is-2by1 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--documenter-dark .image.is-2by1 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--documenter-dark .image.is-3by1 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--documenter-dark .image.is-3by1 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by1 .has-ratio,html.theme--documenter-dark .image.is-4by5 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by5 img,html.theme--documenter-dark .image.is-4by5 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by5 .has-ratio,html.theme--documenter-dark .image.is-3by4 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by4 img,html.theme--documenter-dark .image.is-3by4 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by4 .has-ratio,html.theme--documenter-dark .image.is-2by3 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by3 img,html.theme--documenter-dark .image.is-2by3 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by3 .has-ratio,html.theme--documenter-dark .image.is-3by5 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by5 img,html.theme--documenter-dark .image.is-3by5 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by5 .has-ratio,html.theme--documenter-dark .image.is-9by16 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-9by16 img,html.theme--documenter-dark .image.is-9by16 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-9by16 .has-ratio,html.theme--documenter-dark .image.is-1by2 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by2 img,html.theme--documenter-dark .image.is-1by2 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by2 .has-ratio,html.theme--documenter-dark .image.is-1by3 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by3 img,html.theme--documenter-dark .image.is-1by3 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by3 .has-ratio,.is-overlay{bottom:0;left:0;position:absolute;right:0;top:0}html.theme--documenter-dark .pagination-previous,html.theme--documenter-dark .pagination-next,html.theme--documenter-dark .pagination-link,html.theme--documenter-dark .pagination-ellipsis,html.theme--documenter-dark .file-cta,html.theme--documenter-dark .file-name,html.theme--documenter-dark .select select,html.theme--documenter-dark .textarea,html.theme--documenter-dark .input,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input,html.theme--documenter-dark .button{-moz-appearance:none;-webkit-appearance:none;align-items:center;border:1px solid transparent;border-radius:.4em;box-shadow:none;display:inline-flex;font-size:15px;height:2.25em;justify-content:flex-start;line-height:1.5;padding-bottom:calc(0.375em - 1px);padding-left:calc(0.625em - 1px);padding-right:calc(0.625em - 1px);padding-top:calc(0.375em - 1px);position:relative;vertical-align:top}html.theme--documenter-dark .pagination-previous:focus,html.theme--documenter-dark .pagination-next:focus,html.theme--documenter-dark .pagination-link:focus,html.theme--documenter-dark .pagination-ellipsis:focus,html.theme--documenter-dark .file-cta:focus,html.theme--documenter-dark .file-name:focus,html.theme--documenter-dark .select select:focus,html.theme--documenter-dark .textarea:focus,html.theme--documenter-dark .input:focus,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input:focus,html.theme--documenter-dark .button:focus,html.theme--documenter-dark .is-focused.pagination-previous,html.theme--documenter-dark .is-focused.pagination-next,html.theme--documenter-dark .is-focused.pagination-link,html.theme--documenter-dark .is-focused.pagination-ellipsis,html.theme--documenter-dark 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html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#ecf0f1;color:#ecf0f1}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--documenter-dark .content 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.button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-outlined{background-color:transparent;border-color:#9e1b0d;box-shadow:none;color:#9e1b0d}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#9e1b0d}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #9e1b0d #9e1b0d !important}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{border-radius:3px;font-size:.85em}html.theme--documenter-dark .button.is-normal{font-size:15px}html.theme--documenter-dark .button.is-medium{font-size:1.25rem}html.theme--documenter-dark .button.is-large{font-size:1.5rem}html.theme--documenter-dark .button[disabled],fieldset[disabled] html.theme--documenter-dark .button{background-color:#8c9b9d;border-color:#dbdee0;box-shadow:none;opacity:.5}html.theme--documenter-dark .button.is-fullwidth{display:flex;width:100%}html.theme--documenter-dark .button.is-loading{color:transparent !important;pointer-events:none}html.theme--documenter-dark .button.is-loading::after{position:absolute;left:calc(50% - (1em / 2));top:calc(50% - (1em / 2));position:absolute !important}html.theme--documenter-dark .button.is-static{background-color:#282f2f;border-color:#5e6d6f;color:#dbdee0;box-shadow:none;pointer-events:none}html.theme--documenter-dark .button.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{border-radius:290486px;padding-left:1em;padding-right:1em}html.theme--documenter-dark .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--documenter-dark .buttons .button{margin-bottom:0.5rem}html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:0.5rem}html.theme--documenter-dark .buttons:last-child{margin-bottom:-0.5rem}html.theme--documenter-dark .buttons:not(:last-child){margin-bottom:1rem}html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){border-radius:3px;font-size:.85em}html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--documenter-dark .buttons.has-addons 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h3,html.theme--documenter-dark .content h4,html.theme--documenter-dark .content h5,html.theme--documenter-dark .content h6{color:#f2f2f2;font-weight:600;line-height:1.125}html.theme--documenter-dark .content h1{font-size:2em;margin-bottom:0.5em}html.theme--documenter-dark .content h1:not(:first-child){margin-top:1em}html.theme--documenter-dark .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--documenter-dark .content h2:not(:first-child){margin-top:1.1428em}html.theme--documenter-dark .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--documenter-dark .content h3:not(:first-child){margin-top:1.3333em}html.theme--documenter-dark .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--documenter-dark .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--documenter-dark .content h6{font-size:1em;margin-bottom:1em}html.theme--documenter-dark .content blockquote{background-color:#282f2f;border-left:5px solid #5e6d6f;padding:1.25em 1.5em}html.theme--documenter-dark .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ol:not([type]){list-style-type:decimal}html.theme--documenter-dark .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--documenter-dark .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--documenter-dark .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--documenter-dark .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--documenter-dark .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--documenter-dark .content ul ul ul{list-style-type:square}html.theme--documenter-dark .content dd{margin-left:2em}html.theme--documenter-dark .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--documenter-dark .content figure:not(:first-child){margin-top:2em}html.theme--documenter-dark .content figure:not(:last-child){margin-bottom:2em}html.theme--documenter-dark .content figure img{display:inline-block}html.theme--documenter-dark .content figure figcaption{font-style:italic}html.theme--documenter-dark .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--documenter-dark .content sup,html.theme--documenter-dark .content sub{font-size:75%}html.theme--documenter-dark .content table{width:100%}html.theme--documenter-dark .content table td,html.theme--documenter-dark .content table th{border:1px solid #5e6d6f;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--documenter-dark .content table th{color:#f2f2f2}html.theme--documenter-dark .content table th:not([align]){text-align:left}html.theme--documenter-dark .content table thead td,html.theme--documenter-dark .content table thead th{border-width:0 0 2px;color:#f2f2f2}html.theme--documenter-dark .content table tfoot td,html.theme--documenter-dark .content table tfoot th{border-width:2px 0 0;color:#f2f2f2}html.theme--documenter-dark .content table tbody tr:last-child td,html.theme--documenter-dark .content table tbody tr:last-child th{border-bottom-width:0}html.theme--documenter-dark .content .tabs li+li{margin-top:0}html.theme--documenter-dark .content.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.content{font-size:.85em}html.theme--documenter-dark .content.is-medium{font-size:1.25rem}html.theme--documenter-dark .content.is-large{font-size:1.5rem}html.theme--documenter-dark .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--documenter-dark .icon.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--documenter-dark .icon.is-medium{height:2rem;width:2rem}html.theme--documenter-dark .icon.is-large{height:3rem;width:3rem}html.theme--documenter-dark .image,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--documenter-dark .image img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--documenter-dark .image img.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:290486px}html.theme--documenter-dark .image.is-square img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--documenter-dark .image.is-square .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--documenter-dark .image.is-1by1 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--documenter-dark .image.is-1by1 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and (min-width: 1056px){html.theme--documenter-dark #documenter .docs-main{max-width:52rem;margin-left:20rem;padding-right:1rem}}@media screen and (max-width: 1055px){html.theme--documenter-dark #documenter .docs-main{width:100%}html.theme--documenter-dark #documenter .docs-main>article{max-width:52rem;margin-left:auto;margin-right:auto;margin-bottom:1rem;padding:0 1rem}html.theme--documenter-dark #documenter .docs-main>header,html.theme--documenter-dark #documenter .docs-main>nav{max-width:100%;width:100%;margin:0}}html.theme--documenter-dark #documenter .docs-main header.docs-navbar{background-color:#1f2424;border-bottom:1px solid #5e6d6f;z-index:2;min-height:4rem;margin-bottom:1rem;display:flex}html.theme--documenter-dark #documenter .docs-main header.docs-navbar .breadcrumb{flex-grow:1}html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right{display:flex;white-space:nowrap}html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right 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span.sgr105{background-color:#d2a4e6}html.theme--documenter-dark .ansi span.sgr106{background-color:#6bc8db}html.theme--documenter-dark .ansi span.sgr107{background-color:#ecf0f1}html.theme--documenter-dark code.language-julia-repl>span.hljs-meta{color:#4fb43a;font-weight:bolder}html.theme--documenter-dark .hljs{background:#2b2b2b;color:#f8f8f2}html.theme--documenter-dark .hljs-comment,html.theme--documenter-dark .hljs-quote{color:#d4d0ab}html.theme--documenter-dark .hljs-variable,html.theme--documenter-dark .hljs-template-variable,html.theme--documenter-dark .hljs-tag,html.theme--documenter-dark .hljs-name,html.theme--documenter-dark .hljs-selector-id,html.theme--documenter-dark .hljs-selector-class,html.theme--documenter-dark .hljs-regexp,html.theme--documenter-dark .hljs-deletion{color:#ffa07a}html.theme--documenter-dark .hljs-number,html.theme--documenter-dark .hljs-built_in,html.theme--documenter-dark .hljs-literal,html.theme--documenter-dark .hljs-type,html.theme--documenter-dark 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diff --git a/v0.5.5/assets/themes/documenter-light.css b/v0.5.5/assets/themes/documenter-light.css
new file mode 100644
index 000000000..9b9a14b04
--- /dev/null
+++ b/v0.5.5/assets/themes/documenter-light.css
@@ -0,0 +1,9 @@
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diff --git a/v0.5.5/index.html b/v0.5.5/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Home · GeoParams.jl</title><script data-outdated-warner src="assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="."</script><script 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class="is-active"><a class="tocitem" href>Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="man/geounit/">GeoUnit</a></li><li><a class="tocitem" href="man/nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="man/materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="man/density/">Density</a></li><li><a class="tocitem" href="man/creeplaws/">Creep laws</a></li><li><a class="tocitem" href="man/customrheology/">Custom rheology</a></li><li><a class="tocitem" href="man/viscosity/">Viscosity</a></li><li><a class="tocitem" href="man/elasticity/">Elasticity</a></li><li><a class="tocitem" href="man/plasticity/">Plasticity</a></li><li><a class="tocitem" href="man/heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="man/conductivity/">Conductivity</a></li><li><a class="tocitem" href="man/latentheat/">Latent heat</a></li><li><a class="tocitem" href="man/radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="man/shearheating/">Shear heating</a></li><li><a class="tocitem" href="man/gravity/">Gravity</a></li><li><a class="tocitem" href="man/melting/">Partial Melting</a></li><li><a class="tocitem" href="man/TASclassification/">TAS classification</a></li><li><a class="tocitem" href="man/zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="man/phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="man/seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="man/strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="man/plotting/">Plotting</a></li><li><a class="tocitem" href="man/listfunctions/">List of functions</a></li><li><a class="tocitem" href="man/contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Home</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Home</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/index.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="GeoParams.jl"><a class="docs-heading-anchor" href="#GeoParams.jl">GeoParams.jl</a><a id="GeoParams.jl-1"></a><a class="docs-heading-anchor-permalink" href="#GeoParams.jl" title="Permalink"></a></h1><p>Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:</p><ul><li>Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).</li><li>Material parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. </li></ul><p>We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="man/geounit/">GeoUnit »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Sunday 28 January 2024 08:37">Sunday 28 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.5/man/TASclassification/index.html b/v0.5.5/man/TASclassification/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>TAS classification · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li class="is-active"><a class="tocitem" href>TAS classification</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routine"><span>Computational routine</span></a></li></ul></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>TAS classification</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>TAS classification</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/TASclassification.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="TAS-rock-classification"><a class="docs-heading-anchor" href="#TAS-rock-classification">TAS rock classification</a><a id="TAS-rock-classification-1"></a><a class="docs-heading-anchor-permalink" href="#TAS-rock-classification" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>When doing coupled petrological-geodynamic modelling, the evolution of the composition of the magma is more easily understood when a rock type is given. This routine is an implementation of the TAS diagram (Total Alkali (TA) vs Silica (S)) from Le Maitre et al., 2002.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.TASclassificationData" href="#GeoParams.TASclassification.TASclassificationData"><code>GeoParams.TASclassification.TASclassificationData</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">TASclassificationData
+
+Struct that holds default parameters for the TAS diagram</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/RockClassification/TASclassification.jl#L47-L51">source</a></section></article><h1 id="Computational-routine"><a class="docs-heading-anchor" href="#Computational-routine">Computational routine</a><a id="Computational-routine-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routine" title="Permalink"></a></h1><p>There is one routine with which you can retrieve the index of the TAS rock-type. The routine receives as an input a compositional vector [SiO2,Na2O+K2O] in wt% and sends back an index [1-15].</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.computeTASclassification" href="#GeoParams.TASclassification.computeTASclassification"><code>GeoParams.TASclassification.computeTASclassification</code></a> — <span class="docstring-category">Function</span></header><section><div><p>classIndex computeTASclassification(chemComp::AbstractArray{_T,N}, ClassTASdata::TASclassificationData)</p><p>This compute the classification of the igneous rock using TAS diagram (Total Alkali (TA) vs Silica (S)).</p><p><strong>Input:</strong></p><ul><li><code>chemComp</code> : vector rock composition in oxide wt%</li></ul><p>Output:</p><ul><li><code>classIndex</code> : an integer [0-14] corresponding to a TAS field (TASclassificationData.litho[classIndex])</li></ul><p>This routine was developed based the TAS classification of Le Maitre et al., 2002</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/RockClassification/TASclassification.jl#L113-L127">source</a></section></article><p>Using the index of the rock-type you can get the name of the corresponding volcanic rock using the following routine.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.retrieveTASrockType" href="#GeoParams.TASclassification.retrieveTASrockType"><code>GeoParams.TASclassification.retrieveTASrockType</code></a> — <span class="docstring-category">Function</span></header><section><div><p>retrieveTASrockType(index::Int64; ClassTASdata::TASclassificationData = TASclassificationData())</p><p>This retrieves the name of the volcanic rock-type using the computed index</p><p><strong>Input:</strong></p><ul><li><code>index</code> : integer [1-15]</li></ul><p>Output:</p><ul><li><code>litho</code> : a string of the name of corresponding volcanic rock</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/RockClassification/TASclassification.jl#L93-L105">source</a></section></article><p>We also provide a plotting routine, provided the GLMakie.jl package is loaded, which produces figures such as: <img src="../assets/img/TAS_diagram.png" alt="subet3"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../melting/">« Partial Melting</a><a class="docs-footer-nextpage" href="../zirconages/">Zircon Ages »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Sunday 28 January 2024 08:37">Sunday 28 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Conductivity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Conductivity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Conductivity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/conductivity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Conductivity"><a class="docs-heading-anchor" href="#Conductivity">Conductivity</a><a id="Conductivity-1"></a><a class="docs-heading-anchor-permalink" href="#Conductivity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Thermal conductivity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.ConstantConductivity" href="#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantConductivity(k=3.0W/m/K)</code></pre><p>Set a constant conductivity</p><p class="math-container">\[    k  = cst\]</p><p>where <span>$k$</span> is the thermal conductivity [<span>$W/m/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Energy/Conductivity.jl#L29-L37">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington" href="#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Conductivity_Whittington()</code></pre><p>Sets a temperature-dependent conductivity following the parameterization of <em>Whittington, A.G., Hofmeister, A.M., Nabelek, P.I., 2009. Temperature-dependent thermal diffusivity of the Earth’s crust and implications for magmatism. Nature 458, 319–321. https://doi.org/10.1038/nature07818.</em> Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us to compute</p><p class="math-container">\[    Cp = a + b T - c/T^2\]</p><p class="math-container">\[    \kappa = d/T - e \textrm{ if } T&lt;=846K\]</p><p class="math-container">\[    \kappa = f - g*T \textrm{ if } T&gt;846K\]</p><p class="math-container">\[    \rho = 2700 kg/m^3\]</p><p class="math-container">\[    k = \kappa \rho Cp\]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/mol/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <code>T</code>:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>d = 576.3m^2/s*K</li><li>e = 0.062m^2/s</li><li>f = 0.732m^2/s</li><li>g = 0.000135m^2/s/K</li></ul><p>This looks like:</p><p><img src="../assets/img/Conductivity_Whittington.png" alt="subet1"/></p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; using GLMakie, GeoParams
+julia&gt; p=T_Conductivity_Whittington();
+julia&gt; T,k,plt = PlotConductivity(p)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Energy/Conductivity.jl#L80-L126">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised" href="#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Conductivity_Whittington_parameterised()</code></pre><p>Sets a temperature-dependent conductivity that is  parameterization after <em>Whittington, et al.  2009</em></p><p>The original parameterization involves quite a few parameters; this is a polynomial fit that is roughly valid from 0-1000 Celsius</p><p class="math-container">\[    k [W/m/K] = -2 10^{-9} (T-Ts)^3 + 6 10^{-6} (T-Ts)^2 - 0.0062 (T-Ts) + 4\]</p><p class="math-container">\[    Ts = 273.15 K\]</p><p>where <code>T[K]</code> is the temperature in Kelvin (or the nondimensional equivalent of it).</p><p>The comparison of this parameterisation vs. the original one is: <img src="../assets/img/Conductivity_Whittington_smooth.png" alt="subet1"/></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Energy/Conductivity.jl#L217-L235">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">TP_Conductivity()</code></pre><p>Sets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for</p><p class="math-container">\[    k = \left( a_k +  {b_k \over {T + c_k}} \right) (1 + d_k P)\]</p><p>where <span>$k$</span> is the conductivity [<span>$W/K/m$</span>], and <span>$a_k,b_k,c_k,d_k$</span> are parameters that dependent on the temperature <code>T</code> and pressure <code>P</code>:</p><ul><li><span>$a_k$</span> = 1.18Watt/K/m</li><li><span>$b_k$</span> = 474Watt/m</li><li><span>$c_k$</span> = 77K</li><li><span>$d_k$</span> = 0/MPa</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Energy/Conductivity.jl#L312-L327">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">Set_TP_Conductivity[&quot;Name of temperature(-pressure) dependent conductivity&quot;]</code></pre><p>This is a dictionary with pre-defined laws:</p><ul><li>&quot;UpperCrust&quot;</li><li>&quot;LowerCrust&quot;</li><li>&quot;OceanicCrust&quot;</li><li>&quot;Mantle&quot;</li></ul><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; k=Set_TP_Conductivity[&quot;Mantle&quot;]
+T/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Energy/Conductivity.jl#L350-L365">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">k = compute_conductivity(P, T, s:&lt;AbstractConductivity)</code></pre><p>Returns the thermal conductivity <code>k</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the parameterizations implemented.</p><p>Currently available:</p><ul><li>ConstantConductivity</li><li>T_Conductivity_Whittington</li><li>TP_Conductivity</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia hljs">julia&gt; T  = (250:100:1250)*K;
+julia&gt; cp = T_HeatCapacity_Whittington()
+julia&gt; Cp = ComputeHeatCapacity(0,T,cp)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Energy/Conductivity.jl#L497-L516">source</a></section><section><div><pre><code class="nohighlight hljs">compute_conductivity!(K::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},Temp::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of conductivity <code>K</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>Temp</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p>_________________________________________________________________________________________________________</p><p>compute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</p><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Energy/Conductivity.jl#L538-L550">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity!" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_conductivity(k_array::AbstractArray{&lt;:AbstractFloat,N},P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, s::ConstantConductivity) where N</code></pre><p>In-place routine to compute constant conductivity</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Energy/Conductivity.jl#L64-L68">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../heatcapacity/">« Heat Capacity</a><a class="docs-footer-nextpage" href="../latentheat/">Latent heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Sunday 28 January 2024 08:37">Sunday 28 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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Guide</span></a></li></ul></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Contributing</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Contributing</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/contributing.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button 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If you invest a bit of time now, it will save others in the community a lot of time! The simplest way to do this is by cloning the repository, and creating a new branch for your feature. Once you are happy with what you added (and after you added a test to ensure that it will keep working with future changes), create a pull request and we will evaluate &amp; merge it.</p><h2 id="Style-Guide"><a class="docs-heading-anchor" href="#Style-Guide">Style Guide</a><a id="Style-Guide-1"></a><a class="docs-heading-anchor-permalink" href="#Style-Guide" title="Permalink"></a></h2><p>Follow the style of the surrounding text when making changes. When adding new features please try to stick to the following points whenever applicable.</p><h3 id="Julia"><a class="docs-heading-anchor" href="#Julia">Julia</a><a id="Julia-1"></a><a class="docs-heading-anchor-permalink" href="#Julia" title="Permalink"></a></h3><ul><li>4-space indentation;</li><li>modules spanning entire files should not be indented, but modules that have surrounding code should;</li><li>no blank lines at the start or end of files;</li><li>do not manually align syntax such as <code>=</code> or <code>::</code> over adjacent lines;</li><li>use <code>function ... end</code> when a method definition contains more than one toplevel expression;</li><li>related short-form method definitions don&#39;t need a new line between them;</li><li>unrelated or long-form method definitions must have a blank line separating each one;</li><li>surround all binary operators with whitespace except for <code>::</code>, <code>^</code>, and <code>:</code>;</li><li>files containing a single <code>module ... end</code> must be named after the module;</li><li>method arguments should be ordered based on the amount of usage within the method body;</li><li>methods extended from other modules must follow their inherited argument order, not the above rule;</li><li>explicit <code>return</code> should be preferred except in short-form method definitions;</li><li>avoid dense expressions where possible e.g. prefer nested <code>if</code>s over complex nested <code>?</code>s;</li><li>include a trailing <code>,</code> in vectors, tuples, or method calls that span several lines;</li><li>do not use multiline comments (<code>#=</code> and <code>=#</code>);</li><li>wrap long lines as near to 92 characters as possible, this includes docstrings;</li><li>follow the standard naming conventions used in <code>Base</code>.</li></ul><h3 id="Markdown"><a class="docs-heading-anchor" href="#Markdown">Markdown</a><a id="Markdown-1"></a><a class="docs-heading-anchor-permalink" href="#Markdown" title="Permalink"></a></h3><ul><li>Use unbalanced <code>#</code> headers, i.e. no <code>#</code> on the right hand side of the header text;</li><li>include a single blank line between toplevel blocks;</li><li>unordered lists must use <code>*</code> bullets with two preceding spaces;</li><li>do <em>not</em> hard wrap lines;</li><li>use emphasis (<code>*</code>) and bold (<code>**</code>) sparingly;</li><li>always use fenced code blocks instead of indented blocks;</li><li>follow the conventions outlined in the Julia documentation page on documentation.</li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../listfunctions/">« List of functions</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Sunday 28 January 2024 08:37">Sunday 28 January 2024</span>. 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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Creep laws · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input 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class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Creep laws</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Creep laws</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/creeplaws.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="CreepLaws"><a class="docs-heading-anchor" href="#CreepLaws">CreepLaws</a><a id="CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#CreepLaws" title="Permalink"></a></h1><h1 id="Implemented-creep-laws"><a class="docs-heading-anchor" href="#Implemented-creep-laws">Implemented creep laws</a><a id="Implemented-creep-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-creep-laws" title="Permalink"></a></h1><p>The following viscous creep laws are implemented:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">LinearViscous(η=1e20Pa*s)</code></pre><p>Defines a linear viscous creeplaw </p><p>The (isotopic) linear viscous rheology is given by  </p><p class="math-container">\[    \tau_{ij} = 2 \eta \dot{\varepsilon}_{ij} \]</p><p>or</p><p class="math-container">\[    \dot{\varepsilon}_{ij}  = {\tau_{ij}  \over 2 \eta }\]</p><p>where <span>$\eta_0$</span> is the reference viscosity [Pa*s] at reference strain rate <span>$\dot{\varepsilon}_0$</span>[1/s], and <span>$n$</span> the power law exponent []. </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/CreepLaw/CreepLaw.jl#L79-L94">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)</code></pre><p>Defines a power law viscous creeplaw as: </p><p class="math-container">\[    \tau_{ij}^n  = 2 \eta_0 \left( \dot{\varepsilon}_{ij} \over \dot{\varepsilon}_0 \right)\]</p><p>where <span>$\eta$</span> is the effective viscosity [Pa*s].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/CreepLaw/CreepLaw.jl#L291-L300">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DislocationCreep(n = 1.0NoUnits, r = 0.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )</code></pre><p>Defines the flow law parameter of a dislocation creep law.</p><p>The (isotropic) dislocation creep law, as used by experimentalists, is given by  </p><p class="math-container">\[     \dot{\gamma} = A \sigma_\mathrm{d}^n f_\mathrm{H2O}^r \exp\left(-\frac{E+PV}{RT}\right)\]</p><p>where </p><ul><li><span>$n$</span> is the power law exponent  </li><li><span>$r$</span> is the exponent of fugacity dependence </li><li><span>$A$</span> is a pre-exponential factor <span>$[\mathrm{MPa}^{-n}s^{-1}]$</span> (if manually defined, <span>$n$</span> and <span>$r$</span> must be either pre-defined or substituted) </li><li><span>$E$</span> is the activation energy <span>$\mathrm{[kJ/mol]}$</span> </li><li><span>$V$</span> is the activation volume <span>$\mathrm{[m^3/mol]}$</span> </li><li><span>$\dot{\gamma}$</span> is the strain rate <span>$\mathrm{[1/s]}$</span> </li><li><span>$\sigma_\mathrm{d}$</span> is the differential stress <span>$\mathrm{[MPa]}$</span> which are converted into second invariants using the <code>Apparatus</code> variable that can be</li></ul><p>either <code>AxialCompression</code>, <code>SimpleShear</code> or <code>Invariant</code>. If the flow law parameters are already given as a function of second invariants, choose <code>Apparatus=Invariant</code>.</p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; x2 = DislocationCreep(n=3)
+DislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/CreepLaw/DislocationCreep.jl#L19-L43">source</a></section></article><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.SetDislocationCreep</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DiffusionCreep(r = 0NoUnits, p = A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )</code></pre><p>Defines the flow law parameter of a dislocation creep law.</p><p>The (isotropic) diffusion creep law, as used by experimentalists, is given by  </p><p class="math-container">\[     \dot{\gamma} = A \sigma_\mathrm{d} d^{\mathrm{p}} f_\mathrm{H2O}^r \exp\left(-\frac{E+PV}{RT}\right)\]</p><p>where </p><ul><li><span>$r$</span> is the exponent of fugacity dependence </li><li><span>$p$</span> is the exponent of grain size</li><li><span>$A$</span> is a pre-exponential factor <span>$[\mathrm{MPa}^{-n}s^{-1}]$</span> (if manually defined, <span>$n$</span> and <span>$r$</span> must be either pre-defined or substituted) </li><li><span>$E$</span> is the activation energy <span>$\mathrm{[kJ/mol]}$</span> </li><li><span>$V$</span> is the activation volume <span>$\mathrm{[m^3/mol]}$</span> </li><li><span>$\dot{\gamma}$</span> is the strain rate <span>$\mathrm{[1/s]}$</span> </li><li><span>$\sigma_\mathrm{d}$</span> is the differential stress <span>$\mathrm{[MPa]}$</span></li></ul><p>The experimental parameters are converted into second invariants using the <code>Apparatus</code> variable that can be either <code>AxialCompression</code>, <code>SimpleShear</code> or <code>Invariant</code>. If the flow law parameters are already given as a function of second invariants, choose <code>Apparatus=Invariant</code>.</p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; x2 = DiffusionCreep(Name=&quot;test&quot;)
+DiffusionCreep: Name = test, n=1.0, r=0.0, p=-3.0, A=1.5 m³·⁰ MPa⁻¹·⁰ s⁻¹·⁰, E=500.0 kJ mol⁻¹·⁰, V=2.4e-5 m³·⁰ mol⁻¹·⁰, FT=1.7320508075688772, FE=1.1547005383792517)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/CreepLaw/DiffusionCreep.jl#L23-L49">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetDiffusionCreep[&quot;Name of Diffusion Creep&quot;]</code></pre><p>This is a dictionary with pre-defined creep laws    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/CreepLaw/DiffusionCreep.jl#L338-L341">source</a></section></article><h1 id="Computational-routines-for-creep-laws"><a class="docs-heading-anchor" href="#Computational-routines-for-creep-laws">Computational routines for creep laws</a><a id="Computational-routines-for-creep-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines-for-creep-laws" title="Permalink"></a></h1><p>Once a creep rheology is defined, we can use the following routines to perform computations within the solvers</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>CreepLawVariables</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_εII(a::DiffusionCreep, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)</code></pre><p>Returns diffusion creep strainrate as a function of 2nd invariant of the stress tensor <span>$\tau_{II}$</span> </p><p class="math-container">\[    \dot{ε}_{II} = A τ_{II}^n d^{p} f_{H_2O}^r \exp \left(- {{E + PV} \over RT} \right)\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/CreepLaw/DiffusionCreep.jl#L135-L144">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(a::GrainBoundarySliding, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)</code></pre><p>Returns grain boundary sliding strainrate as a function of 2nd invariant of the stress tensor <span>$\tau_{II}$</span> </p><p class="math-container">\[    \dot{ε}_{II} = A τ_{II}^n d^{p} \exp \left(- {{E + PV} \over RT} \right)  #ÄNDERN!!!!!!!!\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/CreepLaw/GrainBoundarySliding.jl#L127-L136">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(s::ConstantElasticity{_T}, τII; τII_old, dt)</code></pre><p>Computes elastic strainrate given the deviatoric stress at the current (<code>τII</code>) and old timestep (<code>τII_old</code>), for a timestep <code>dt</code>:</p><p class="math-container">\[    \dot{\varepsilon}^{el} = {1 \over 2 G} {D \tau_{II} \over Dt } ≈ {1 \over 2 G} {\tau_{II}- \tilde{\tau}_{II}^{old} \over dt }\]</p><p>Note that we here solve the scalar equation, which is sufficient for isotropic cases. In tensor form, it would be</p><p class="math-container">\[    {\dot{\varepsilon}^{el}}_{ij} = {1 \over 2 G} { \tau_{ij} - \tilde{{\tau_{ij}}}^{old} \over dt }\]</p><p>here <span>$\tilde{{\tau_{ij}}}^{old}$</span> is the rotated old deviatoric stress tensor to ensure objectivity (this can be done with Jaumann derivative, or also by using the full rotational formula).</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Elasticity/Elasticity.jl#L107-L121">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(p::DruckerPrager{_T,U,U1}, λdot::_T, τII::_T,  P)</code></pre><p>This computes plastic strain rate invariant for a given <span>$λdot$</span></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Plasticity/DruckerPrager.jl#L166-L170">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(p::DruckerPrager_regularised{_T,U,U1}, λdot::_T, τII::_T,  P)</code></pre><p>This computes plastic strain rate invariant for a given <span>$λdot$</span></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Plasticity/DruckerPrager_regularised.jl#L168-L172">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::Parallel{T,N}, τII, args; tol=1e-6, verbose=false, n=1)</code></pre><p>Computing <code>εII</code> as a function of <code>τII</code> for a Parallel elements is (usually) a nonlinear problem</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/CompositeRheologies/Parallel.jl#L49-L53">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::CompositeRheology{T,N}, τII, args; tol=1e-6, verbose=false, n=1)</code></pre><p>Computing <code>εII</code> as a function of <code>τII</code> for a composite element is the sum of the individual contributions</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/CompositeRheologies/CompositeRheology.jl#L76-L80">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::AbstractPlasticity, τII::_T, args; tol=1e-6, verbose=true)</code></pre><p>Performs local iterations to compute the plastic strainrate. Note that the non-plastic strainrate, ε_np, should be part of <code>args</code></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/CompositeRheologies/NonlinearIterations.jl#L127-L131">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)</code></pre><p>Computes strainrate as a function of stress</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/CreepLaw/DiffusionCreep.jl#L171-L175">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)</code></pre><p>Computes strainrate as a function of stress</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/CreepLaw/GrainBoundarySliding.jl#L164-L168">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, s::LinearViscous, TauII::AbstractArray{_T,N})</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/CreepLaw/CreepLaw.jl#L112-L115">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, s::ArrheniusType, TauII::AbstractArray{_T,N})</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/CreepLaw/CreepLaw.jl#L224-L227">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(ε_el::AbstractArray{_T,N}, s::ConstantElasticity{_T}; τII::AbstractArray{_T,N}, τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)</code></pre><p>In-place computation of the elastic shear strainrate for given deviatoric stress invariants at the previous (<code>τII_old</code>) and new (<code>τII</code>) timestep, as well as the timestep <code>dt</code>  </p><p class="math-container">\[    \dot{\varepsilon}^{el} = {1 \over 2 G} {D \tau_{II} \over Dt } ≈ {1 \over 2 G} {\tau_{II}- \tau_{II}^{old} \over dt }\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Elasticity/Elasticity.jl#L151-L160">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_τII(a::DislocationCreep, EpsII; P, T, f, args...)</code></pre><p>Computes the stress for a Dislocation creep law given a certain strain rate</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/CreepLaw/DislocationCreep.jl#L190-L195">source</a></section><section><div><pre><code class="nohighlight hljs">computeCreepLaw_TauII(EpsII::_T, a::DiffusionCreep; T::_T, P=zero(_T), f=one(_T), d=one(_T), kwargs...)</code></pre><p>Returns diffusion creep stress as a function of 2nd invariant of the strain rate </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/CreepLaw/DiffusionCreep.jl#L228-L232">source</a></section><section><div><pre><code class="nohighlight hljs">computeCreepLaw_TauII(EpsII::_T, a::GrainBoundarySliding; T::_T, P=zero(_T), d=one(_T), kwargs...)</code></pre><p>Returns grain boundary sliding stress as a function of 2nd invariant of the strain rate </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/CreepLaw/GrainBoundarySliding.jl#L210-L214">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(a::PeierlsCreep, EpsII; P, T, f, args...)</code></pre><p>Computes the stress for a peierls creep law given a certain strain rate.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/CreepLaw/PeierlsCreep.jl#L174-L179">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(s::LinearViscous, EpsII; kwargs...)</code></pre><p>Returns second invariant of the stress tensor given a 2nd invariant of strain rate tensor </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/CreepLaw/CreepLaw.jl#L138-L142">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(s::ArrheniusType, EpsII; kwargs...)</code></pre><p>Returns second invariant of the stress tensor given a 2nd invariant of strain rate tensor </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/CreepLaw/CreepLaw.jl#L248-L252">source</a></section><section><div><pre><code class="nohighlight hljs">τII = compute_τII(v::CompositeRheology{T,N}, εII, args; tol=1e-6, verbose=false)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/CompositeRheologies/CompositeRheology.jl#L208-L211">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_τII!(TauII::AbstractArray{_T,N}, a::DislocationCreep, EpsII::AbstractArray{_T,N}; 
+    P =       zero(TauII)::AbstractArray{_T,N}, 
+    T = ones(size(TauII))::AbstractArray{_T,N}, 
+    f = ones(size(TauII))::AbstractArray{_T,N})</code></pre><p>Computes the deviatoric stress invariant for a dislocation creep law</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/CreepLaw/DislocationCreep.jl#L228-L235">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII!(TauII::AbstractArray{_T,N}, a::PeierlsCreep, EpsII::AbstractArray{_T,N}; 
+    T = ones(size(TauII))::AbstractArray{_T,N}, args...)</code></pre><p>Computes the deviatoric stress invariant for a peierls creep law.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/CreepLaw/PeierlsCreep.jl#L207-L213">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII!(τII::AbstractArray{_T,N}, s::ConstantElasticity{_T}. ε_el::AbstractArray{_T,N}; τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)</code></pre><p>In-place update of the elastic stress for given deviatoric strainrate invariants and stres invariant at the old (<code>τII_old</code>) timestep, as well as the timestep <code>dt</code>  </p><p class="math-container">\[    \tau_{II} = 2 G dt \dot{\varepsilon}^{el} + \tau_{II}^{old}\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Elasticity/Elasticity.jl#L175-L184">source</a></section></article><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.CorrectionFactor</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.RemoveTensorCorrection</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../density/">« Density</a><a class="docs-footer-nextpage" href="../customrheology/">Custom rheology »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Sunday 28 January 2024 08:37">Sunday 28 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li class="is-active"><a class="tocitem" href>Custom rheology</a><ul class="internal"><li><a class="tocitem" href="#User-defined-rheology"><span><code>User-defined rheology</code></span></a></li><li><a class="tocitem" href="#Example:-Arrhenious-type-rheology"><span>Example: Arrhenious-type rheology</span></a></li></ul></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Custom rheology</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Custom rheology</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/customrheology.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h2 id="User-defined-rheology"><a class="docs-heading-anchor" href="#User-defined-rheology"><code>User-defined rheology</code></a><a id="User-defined-rheology-1"></a><a class="docs-heading-anchor-permalink" href="#User-defined-rheology" title="Permalink"></a></h2><p><code>CustomRheology</code> allows the user to interface with <code>GeoParams.jl</code> API for rheology calculations: </p><pre><code class="language-julia hljs">struct CustomRheology{F1, F2, T} &lt;: AbstractCreepLaw
+    strain::F1
+    stress::F2
+    args::T
+end</code></pre><p>where <code>strain</code> and <code>stress</code> are functions that compute the strain rate and deviatoric stress tensors, respectively, and <code>args</code> is a <code>NamedTuple</code> containing any constant (i.e. <strong>immutable</strong>) physical parameters needed by our <code>CustomRheology</code>. </p><h2 id="Example:-Arrhenious-type-rheology"><a class="docs-heading-anchor" href="#Example:-Arrhenious-type-rheology">Example: Arrhenious-type rheology</a><a id="Example:-Arrhenious-type-rheology-1"></a><a class="docs-heading-anchor-permalink" href="#Example:-Arrhenious-type-rheology" title="Permalink"></a></h2><p>The deviatoric stress <span>$\tau_{ij}$</span> and strain rate tensors <span>$\dot{\varepsilon}_{ij}$</span> are simply <span>$\tau_{ij} = 2 \eta \dot{\varepsilon}_{ij}$</span> and <span>$\dot{\varepsilon}_{ij}  = {\tau_{ij}  \over 2 \eta}$</span></p><p>and the viscosity <span>$\eta$</span> is temperature-dependant     <span>$\eta = \eta_{0}  \exp\left(\frac{E}{T+T_{o}}-\frac{E}{T_{\eta}+T_{o}}\right)$</span></p><p>where <span>$\eta_0$</span> and <span>$T_{\eta}$</span> are the respective reference viscosity and temperature, <span>$T_o$</span> is the offset temperature, <span>$T$</span> is the local temperature, and <span>$E$</span> is activation energy. </p><p>Before defining the functions to compute <span>$\tau$</span> and <span>$\dot{\varepsilon}$</span>, it is convenient to define a helper function to compute the viscosity:</p><pre><code class="language-julia hljs">@inline function custom_viscosity(
+    a::CustomRheology; T = 0.0, kwargs...
+)
+    (; η0, E, To, Tη) = a.args
+    η = η0 * exp(E / (T + To) - E / (Tη + To))
+    return  η
+end</code></pre><p>Then we just need to define two simple functions to compue the second invariants of <span>$\tau_{ij}$</span> and <span>$\dot{\varepsilon}_{ij}$</span>:</p><pre><code class="language-julia hljs"># function to compute deviatoric stress
+@inline function custom_τII(
+    a::CustomRheology, EpsII; kwargs...
+)
+    η = custom_viscosity(a; kwargs...)
+    return 2.0 * (η * EpsII)
+end
+
+# function to compute strain rate
+@inline function custom_εII(
+    a::CustomRheology, TauII; kwargs...
+)
+    η = custom_viscosity(a; kwargs...)
+    return (TauII / η) * 0.5
+end</code></pre><p>Note that the key word argument <code>kwargs...</code> is needed in all the above functions for compatibility with <code>GeoParams.jl</code>. </p><p>Finally, we need a <code>NamedTuple</code> containing the physical parameters needed by <code>custom_τII</code> and <code>custom_εII</code>:</p><pre><code class="language-julia hljs"># constant parameters, these are typically wrapped into a struct (compulsory)
+parameters = (;
+    η0 = 1.0,
+    E = 23.03,
+    To = 1.0,
+    Tη = 1.0,
+)</code></pre><p>Then the <code>CustomRheology</code> object is created</p><pre><code class="language-julia hljs">a = CustomRheology(custom_εII, custom_τII, parameters)</code></pre><p>Now we can use our new rheology object with <code>GeoParams.jl</code> methods:</p><pre><code class="language-julia-repl hljs">julia&gt; args = (; T=0.5)
+(T = 0.5,)
+
+julia&gt; τII, εII = 1.5,  0.5
+(1.5, 0.5)
+
+julia&gt; ε = compute_εII(v, τII, args)
+0.016147090412110487
+
+julia&gt; τ = compute_τII(v, εII, args)
+46.44799656521971
+
+julia&gt; dεdτ = dεII_dτII(v, τII, args)
+0.010764726941406991
+
+julia&gt; dτdε = dτII_dεII(v, εII, args)
+92.89599313043942</code></pre><p>And also works for composite rheologies:</p><pre><code class="language-julia-repl hljs">julia&gt; el = ConstantElasticity(; G=1.0)
+Linear elasticity with shear modulus: G = 1.0, Poisson&#39;s ratio: ν = 0.5, bulk modulus: Kb = Inf and Young&#39;s module: E=NaN
+
+julia&gt; c = CompositeRheology(v, el)
+--?????----/\/\/--
+
+julia&gt; args = (; dt=Inf, T=0.5)
+(dt = Inf, T = 0.5)
+
+julia&gt; ε = compute_εII(c, τII, args)
+0.016147090412110487
+
+julia&gt; τ = compute_τII(c, εII, args)
+46.44799656521971</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../creeplaws/">« Creep laws</a><a class="docs-footer-nextpage" href="../viscosity/">Viscosity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Sunday 28 January 2024 08:37">Sunday 28 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.5/man/density/index.html b/v0.5.5/man/density/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Density · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li class="is-active"><a class="tocitem" href>Density</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Density</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Density</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/density.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Density"><a class="docs-heading-anchor" href="#Density">Density</a><a id="Density-1"></a><a class="docs-heading-anchor-permalink" href="#Density" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>The density equation of state can be specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.ConstantDensity" href="#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantDensity(ρ=2900kg/m^3)</code></pre><p>Set a constant density:</p><p class="math-container">\[    \rho  = cst\]</p><p>where <span>$\rho$</span> is the density [<span>$kg/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Density/Density.jl#L39-L47">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.PT_Density" href="#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)</code></pre><p>Set a pressure and temperature-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 (1.0 - \alpha (T-T_0) + \beta  (P-P_0) )  \]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference temperature <span>$T_0$</span> and pressure <span>$P_0$</span>, <span>$\alpha$</span> is the temperature dependence of density and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Density/Density.jl#L81-L90">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.Compressible_Density" href="#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)</code></pre><p>Set a pressure-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 \exp(β*(P - P\_0))  \]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference pressure <span>$P_0$</span> and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Density/Density.jl#L134-L142">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To evaluate density within a user routine, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density" href="#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_density(P,T, s::PhaseDiagram_LookupTable)</code></pre><p>Interpolates density as a function of <code>T,P</code> from a lookup table  </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Density/Density.jl#L182-L185">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density!" href="#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I&lt;:Integer}</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; MatParam = (SetMaterialParams(Name=&quot;Mantle&quot;, Phase=1,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                        Density   = PT_Density()
+                        ),
+                    SetMaterialParams(Name=&quot;Crust&quot;, Phase=2,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),
+                        Density   = ConstantDensity(ρ=2900kg/m^3))
+                  );
+julia&gt; Phases = ones(Int64,400,400);
+julia&gt; Phases[:,20:end] .= 2
+julia&gt; rho     = zeros(size(Phases))
+julia&gt; T       =  ones(size(Phases))
+julia&gt; P       =  ones(size(Phases))*10
+julia&gt; args = (P=P, T=T)
+julia&gt; compute_density!(rho, MatParam, Phases, args)
+julia&gt; rho
+400×400 Matrix{Float64}:
+2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮                            
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0</code></pre><p>The routine is made to minimize allocations:</p><pre><code class="language-julia hljs">julia&gt; using BenchmarkTools
+julia&gt; @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)
+    203.468 μs (0 allocations: 0 bytes)</code></pre><p>_____________________________________________________________________________________________________________________________   </p><pre><code class="nohighlight hljs">compute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Density/Density.jl#L205-L270">source</a></section></article><p>Note that density values are usually not used in itself in the governing PDE&#39;s, but usually in combination with other parameters, such as <span>$\rho g$</span> or <span>$\rho c_p$</span>. the non-dimensional value of <span>$\rho$</span> may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../materialparameters/">« Material Parameters</a><a class="docs-footer-nextpage" href="../creeplaws/">Creep laws »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Sunday 28 January 2024 08:37">Sunday 28 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.5/man/elasticity/index.html b/v0.5.5/man/elasticity/index.html
new file mode 100644
index 000000000..c9df411ea
--- /dev/null
+++ b/v0.5.5/man/elasticity/index.html
@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Elasticity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li class="is-active"><a class="tocitem" href>Elasticity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Implemented-laws"><span>Implemented laws</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Elasticity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Elasticity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/elasticity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Elasticity"><a class="docs-heading-anchor" href="#Elasticity">Elasticity</a><a id="Elasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Elasticity" title="Permalink"></a></h1><p>Elasticity is, in geodynamics, often used in combination with viscous and plastic rheology.</p><h1 id="Implemented-laws"><a class="docs-heading-anchor" href="#Implemented-laws">Implemented laws</a><a id="Implemented-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-laws" title="Permalink"></a></h1><p>We provide the following elastic constitutive relationships:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantElasticity(G, ν, K, E)</code></pre><p>Structure that holds parameters for constant, isotropic, linear elasticity.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Elasticity/Elasticity.jl#L30-L34">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetConstantElasticity(; G=nothing, ν=nothing, E=nothing, Kb=nothing)</code></pre><p>This allows setting elastic parameters by specifying 2 out of the 4 elastic parameters <code>G</code> (Elastic shear modulus), <code>ν</code> (Poisson&#39;s ratio), <code>E</code> (Young&#39;s modulus), or <code>Kb</code> (bulk modulus).</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Elasticity/Elasticity.jl#L46-L50">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>We can compute the elastic strainrate with:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_εII</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_εII!</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../viscosity/">« Viscosity</a><a class="docs-footer-nextpage" href="../plasticity/">Plasticity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Sunday 28 January 2024 08:37">Sunday 28 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.5/man/geounit/index.html b/v0.5.5/man/geounit/index.html
new file mode 100644
index 000000000..72468e625
--- /dev/null
+++ b/v0.5.5/man/geounit/index.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>GeoUnit · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li class="is-active"><a class="tocitem" href>GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>GeoUnit</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>GeoUnit</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/geounit.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="GeoUnit"><a class="docs-heading-anchor" href="#GeoUnit"><code>GeoUnit</code></a><a id="GeoUnit-1"></a><a class="docs-heading-anchor-permalink" href="#GeoUnit" title="Permalink"></a></h1><p>Most parameters have physical units (100km, 9.81 ms⁻²). Yet, within numerical solvers it is usually not a good idea to compute with the actual SI units as they (at least in geosciences) tend to result in very large/small numbers, which can cause in roundoff errors.  Therefore, we usually convert the dimensional units into non-dimensional ones befeore starting computations. The results can than be converted back to more convenient units for us when we generate the output (plots, for example).</p><p>This requires a way to store the dimensions of a parameter, but also, once they are made nondimensional, the original units (otherwise we can&#39;t convert them back to dimensional values).</p><p>For that reason, we use the <code>GeoUnit</code> structure, defined as </p><pre><code class="language-julia hljs">struct GeoUnit{T,U}
+    val          :: T
+    unit         :: U
+    isdimensional:: Bool
+end</code></pre><p>You can define a GeoUnit as:</p><pre><code class="language-julia hljs">julia&gt; a = GeoUnit(100km)
+GeoUnit{dimensional, km}, 
+100.0
+julia&gt; b=GeoUnit(100s)
+GeoUnit{dimensional, s}, 
+100.0</code></pre><p>Dividing the two gives the expected result</p><pre><code class="language-julia hljs">julia&gt; c=a/b
+GeoUnit{dimensional, km s⁻¹·⁰}, 
+1.0</code></pre><p>Can also be a vector:</p><pre><code class="language-julia hljs">julia&gt; T = GeoUnit(100K:10.0K:1000K)
+GeoUnit{dimensional, K}, 
+100.0:10.0:1000.0</code></pre><p>The numerical value is obtained with:</p><pre><code class="language-julia hljs">julia&gt; NumValue(c)
+1.0</code></pre><p>It&#39;s unit with</p><pre><code class="language-julia hljs">julia&gt; Unit(c)
+km s⁻¹·⁰</code></pre><p>and the value with unit with</p><pre><code class="language-julia hljs">julia&gt; Value(c)
+1.0 km s⁻¹·⁰</code></pre><p>If you multiply or divide a <code>GeoUnit</code> with a normal number, we assume that you are no longer interested in the units and you&#39;ll get a Float64:</p><pre><code class="language-julia hljs">julia&gt; c*100
+100.0</code></pre><p>The value of the <code>GeoUnit</code> struct becomes clear once we non-dimensionalize it (as explained in more detail in a separate page). For that, first specify which characteristic values you want to use for non-dimensionalisation: </p><pre><code class="language-julia hljs">julia&gt; CharDim = GEO_units(length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas);</code></pre><p>Let&#39;s define a stress:</p><pre><code class="language-julia hljs">julia&gt; σ=GeoUnit(10MPa)
+GeoUnit{dimensional, MPa}, 
+10.0</code></pre><p>And transfer it to nondimensional units:</p><pre><code class="language-julia hljs">julia&gt; σ_nd = nondimensionalize(σ,CharDim)
+GeoUnit{nondimensional, MPa}, 
+0.9999999999999998</code></pre><p>Instead of 1e7 Pa, we now have 1.0; yet at the same time we know that the original unit of σ_nd was in MPa, which allows to transfer it back to dimensional units:</p><pre><code class="language-julia hljs">julia&gt; dimensionalize(σ_nd,CharDim)
+GeoUnit{dimensional, MPa}, 
+10.0</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../">« Home</a><a class="docs-footer-nextpage" href="../nondimensionalize/">Nondimensionalization »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Sunday 28 January 2024 08:37">Sunday 28 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.5/man/gravity/index.html b/v0.5.5/man/gravity/index.html
new file mode 100644
index 000000000..d66c90ef3
--- /dev/null
+++ b/v0.5.5/man/gravity/index.html
@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Gravity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li class="is-active"><a class="tocitem" href>Gravity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Gravity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Gravity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/gravity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Gravitational-acceleration"><a class="docs-heading-anchor" href="#Gravitational-acceleration">Gravitational acceleration</a><a id="Gravitational-acceleration-1"></a><a class="docs-heading-anchor-permalink" href="#Gravitational-acceleration" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Gravitational acceleration is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">GravityConstant(g=9.81m/s^2)</code></pre><p>Set a constant value for the gravitational acceleration:</p><p class="math-container">\[    g  = 9.81 m s^{-2}\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/GravitationalAcceleration/GravitationalAcceleration.jl#L18-L25">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a> — <span class="docstring-category">Function</span></header><section><div><p>compute_gravity(s:&lt;AbstractGravity)</p><p>Returns the gravitational acceleration </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/GravitationalAcceleration/GravitationalAcceleration.jl#L61-L66">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../shearheating/">« Shear heating</a><a class="docs-footer-nextpage" href="../melting/">Partial Melting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Sunday 28 January 2024 08:37">Sunday 28 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.5/man/heatcapacity/index.html b/v0.5.5/man/heatcapacity/index.html
new file mode 100644
index 000000000..a2ce54827
--- /dev/null
+++ b/v0.5.5/man/heatcapacity/index.html
@@ -0,0 +1,16 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Heat Capacity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li class="is-active"><a class="tocitem" href>Heat Capacity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Heat Capacity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Heat Capacity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/heatcapacity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Heat-capacity"><a class="docs-heading-anchor" href="#Heat-capacity">Heat capacity</a><a id="Heat-capacity-1"></a><a class="docs-heading-anchor-permalink" href="#Heat-capacity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Heat capacity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity" href="#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantHeatCapacity(cp=1050J/mol/kg)</code></pre><p>Set a constant heat capacity:</p><p class="math-container">\[    cp  = cst\]</p><p>where <span>$cp$</span> is the thermal heat capacity [<span>$J/kg/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Energy/HeatCapacity.jl#L26-L34">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington" href="#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_HeatCapacity_Whittington()</code></pre><p>Sets a temperature-dependent heat capacity following the parameterization of Whittington et al. (2009), Nature:</p><p class="math-container">\[    Cp = (a + b T - c/T^2)/m \]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/kg/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <code>T</code>:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>molmass =   0.22178kg/mol </li></ul><p>Note that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than <span>$J/mol/K$</span> as in eq.3/4 of the paper)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Energy/HeatCapacity.jl#L59-L77">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">Cp = compute_heatcapacity(s:&lt;AbstractHeatCapacity, P, T)</code></pre><p>Returns the heat capacity <code>Cp</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the heat capacity laws implemented.</p><p>Currently available:</p><ul><li>ConstantHeatCapacity</li><li>T_HeatCapacity_Whittington</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia hljs">julia&gt; T  = (250:100:1250)*K;
+julia&gt; cp = T_HeatCapacity_Whittington()
+julia&gt; Cp = ComputeHeatCapacity(0,T,cp)
+11-element Vector{Unitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:
+  635.4269997294616 J kg⁻¹ K⁻¹
+  850.7470171764261 J kg⁻¹ K⁻¹
+  962.0959598489883 J kg⁻¹ K⁻¹
+ 1037.5420433770641 J kg⁻¹ K⁻¹
+ 1097.3517921966488 J kg⁻¹ K⁻¹
+ 1149.2745563671706 J kg⁻¹ K⁻¹
+ 1157.7915050948404 J kg⁻¹ K⁻¹
+ 1172.3554874197264 J kg⁻¹ K⁻¹
+ 1186.9194697445964 J kg⁻¹ K⁻¹
+  1201.483452069455 J kg⁻¹ K⁻¹
+ 1216.0474343943067 J kg⁻¹ K⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Energy/HeatCapacity.jl#L145-L175">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_heatcapacity!(Cp::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat})</code></pre><p>In-place computation of heat capacity <code>Cp</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Energy/HeatCapacity.jl#L197-L202">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plasticity/">« Plasticity</a><a class="docs-footer-nextpage" href="../conductivity/">Conductivity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Sunday 28 January 2024 08:37">Sunday 28 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.5/man/latentheat/index.html b/v0.5.5/man/latentheat/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Latent heat · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li class="is-active"><a class="tocitem" href>Latent heat</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Latent heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Latent heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/latentheat.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Latent-heat"><a class="docs-heading-anchor" href="#Latent-heat">Latent heat</a><a id="Latent-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Latent-heat" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Latent heat (of crystallisation) is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat" href="#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantLatentHeat(Q_L=400kJ/kg)</code></pre><p>Set a constant latent heat:</p><p class="math-container">\[    Q_L  = cst\]</p><p>where <span>$Q_L$</span> is the latent heat [<span>$kJ/kg$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Energy/LatentHeat.jl#L22-L30">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.LatentHeat.compute_latent_heat</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../conductivity/">« Conductivity</a><a class="docs-footer-nextpage" href="../radioactiveheating/">Radioactive heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Sunday 28 January 2024 08:37">Sunday 28 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.5/man/listfunctions/index.html b/v0.5.5/man/listfunctions/index.html
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--- /dev/null
+++ b/v0.5.5/man/listfunctions/index.html
@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>List of functions · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li class="is-active"><a class="tocitem" href>List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>List of functions</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>List of functions</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/listfunctions.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="List-of-all-functions"><a class="docs-heading-anchor" href="#List-of-all-functions">List of all functions</a><a id="List-of-all-functions-1"></a><a class="docs-heading-anchor-permalink" href="#List-of-all-functions" title="Permalink"></a></h1><p>This page details the some of the guidelines that should be followed when contributing to this package.</p><ul><li><a href="../nondimensionalize/#GeoParams.Units"><code>GeoParams.Units</code></a></li><li><a href="../strengthenvelope/#GeoParams.ConstTemp"><code>GeoParams.ConstTemp</code></a></li><li><a href="../strengthenvelope/#GeoParams.HalfspaceCoolTemp"><code>GeoParams.HalfspaceCoolTemp</code></a></li><li><a href="../strengthenvelope/#GeoParams.LinTemp"><code>GeoParams.LinTemp</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington</code></a></li><li><a href="../latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a></li><li><a href="../phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_4thOrder"><code>GeoParams.MeltingParam.MeltingParam_4thOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_5thOrder"><code>GeoParams.MeltingParam.MeltingParam_5thOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Assimilation"><code>GeoParams.MeltingParam.MeltingParam_Assimilation</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Quadratic"><code>GeoParams.MeltingParam.MeltingParam_Quadratic</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.SmoothMelting"><code>GeoParams.MeltingParam.SmoothMelting</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.TASclassificationData"><code>GeoParams.TASclassification.TASclassificationData</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.ZirconAgeData"><code>GeoParams.ZirconAges.ZirconAgeData</code></a></li><li><a href="../strengthenvelope/#GeoParams.CompTempStruct"><code>GeoParams.CompTempStruct</code></a></li><li><a href="../strengthenvelope/#GeoParams.LithPres"><code>GeoParams.LithPres</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_dϕdT"><code>GeoParams.MeltingParam.compute_dϕdT</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_dϕdT!"><code>GeoParams.MeltingParam.compute_dϕdT!</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a></li><li><a href="../phasediagrams/#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a></li><li><a href="../plotting/#GeoParams.PlotConductivity"><code>GeoParams.PlotConductivity</code></a></li><li><a href="../plotting/#GeoParams.PlotDeformationMap"><code>GeoParams.PlotDeformationMap</code></a></li><li><a href="../plotting/#GeoParams.PlotHeatCapacity"><code>GeoParams.PlotHeatCapacity</code></a></li><li><a href="../melting/#GeoParams.PlotMeltFraction"><code>GeoParams.PlotMeltFraction</code></a></li><li><a href="../plotting/#GeoParams.PlotPhaseDiagram"><code>GeoParams.PlotPhaseDiagram</code></a></li><li><a href="../strengthenvelope/#GeoParams.StrengthEnvelopeComp"><code>GeoParams.StrengthEnvelopeComp</code></a></li><li><a href="../strengthenvelope/#GeoParams.StrengthEnvelopePlot"><code>GeoParams.StrengthEnvelopePlot</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.computeTASclassification"><code>GeoParams.TASclassification.computeTASclassification</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.retrieveTASrockType"><code>GeoParams.TASclassification.retrieveTASrockType</code></a></li><li><a href="../tables/#GeoParams.Tables.Dict2LatexTable"><code>GeoParams.Tables.Dict2LatexTable</code></a></li><li><a href="../tables/#GeoParams.Tables.Dict2MarkdownTable"><code>GeoParams.Tables.Dict2MarkdownTable</code></a></li><li><a href="../tables/#GeoParams.Tables.ParameterTable"><code>GeoParams.Tables.ParameterTable</code></a></li><li><a href="../tables/#GeoParams.Tables.Phase2Dict"><code>GeoParams.Tables.Phase2Dict</code></a></li><li><a href="../tables/#GeoParams.Tables.Phase2DictMd"><code>GeoParams.Tables.Phase2DictMd</code></a></li><li><a href="../tables/#GeoParams.Tables.detachFloatfromExponent"><code>GeoParams.Tables.detachFloatfromExponent</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.compute_zircon_age_PDF"><code>GeoParams.ZirconAges.compute_zircon_age_PDF</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.compute_zircons_Ttpath"><code>GeoParams.ZirconAges.compute_zircons_Ttpath</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.zircon_age_PDF"><code>GeoParams.ZirconAges.zircon_age_PDF</code></a></li><li><a href="../viscosity/#GeoParams.compute_viscosity_εII"><code>GeoParams.compute_viscosity_εII</code></a></li><li><a href="../viscosity/#GeoParams.compute_viscosity_τII"><code>GeoParams.compute_viscosity_τII</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a></li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plotting/">« Plotting</a><a class="docs-footer-nextpage" href="../contributing/">Contributing »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Sunday 28 January 2024 08:37">Sunday 28 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.5/man/materialparameters/index.html b/v0.5.5/man/materialparameters/index.html
new file mode 100644
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--- /dev/null
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Material Parameters · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li class="is-active"><a class="tocitem" href>Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Material Parameters</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Material Parameters</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/materialparameters.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="MaterialParameters"><a class="docs-heading-anchor" href="#MaterialParameters">MaterialParameters</a><a id="MaterialParameters-1"></a><a class="docs-heading-anchor-permalink" href="#MaterialParameters" title="Permalink"></a></h1><p>Material properties for a given phase can be set with <code>SetMaterialParams</code>, whereas all properties are  stored in the <code>MaterialParams</code> structure. Information about the material parameter is found at <code>MaterialParamsInfo</code>. This can be employed </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParamsInfo" href="#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MaterialParamsInfo</code></pre><p>Structure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.</p><p>Usually used in combination with <code>param_info(the_parameter_of_interest)</code></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/MaterialParameters.jl#L25-L33">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SetMaterialParams" href="#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetMaterialParams(; Name::String=&quot;&quot;, Phase::Int64=1,
+                    Density             =   nothing, 
+                    Gravity             =   nothing,
+                    CreepLaws           =   nothing, 
+                    Elasticity          =   nothing, 
+                    Plasticity          =   nothing, 
+                    CompositeRheology   =   nothing,
+                    Conductivity        =   nothing, 
+                    HeatCapacity        =   nothing, 
+                    RadioactiveHeat     =   nothing,
+                    LatentHeat          =   nothing,
+                    ShearHeat           =   nothing,
+                    Melting             =   nothing,
+                    SeismicVelocity     =   nothing,
+                    CharDim::GeoUnits   =   nothing)</code></pre><p>Sets material parameters for a given phase. </p><p>If <code>CharDim</code> is specified the input parameters are non-dimensionalized.   Note that if <code>Density</code> is specified, we also set <code>Gravity</code> even if not explicitly listed</p><p><strong>Examples</strong></p><p>Define two viscous creep laws &amp; constant density:</p><pre><code class="language-julia-repl hljs">julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;,
+                       Density   = ConstantDensity(),
+                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))
+Phase 1 : Viscous Matrix
+        | [dimensional units]
+        | 
+        |-- Density           : Constant density: ρ=2900 kg m⁻³ 
+        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  
+        |                       Linear viscosity: η=1.0e21 Pa s</code></pre><p>Define two viscous creep laws &amp; P/T dependent density and nondimensionalize</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);
+julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;, Phase=33,
+                              Density   = PT_Density(),
+                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),
+                              CharDim   = CharUnits_GEO)
+Phase 33: Viscous Matrix
+        | [non-dimensional units]
+        | 
+        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0 
+        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18 
+        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001  
+        |                       Linear viscosity: η=10000.0 </code></pre><p>You can also create an array that holds several parameters:</p><pre><code class="language-julia-repl hljs">julia&gt; MatParam        =   Array{MaterialParams, 1}(undef, 2);
+julia&gt; Phase           =   1;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Upper Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                            Density  = ConstantDensity(ρ=2900kg/m^3));
+julia&gt; Phase           =   2;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Lower Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),
+                            Density  = PT_Density(ρ0=3000kg/m^3));
+julia&gt; MatParam
+2-element Vector{MaterialParams}:
+ Phase 1 : Upper Crust
+    | [dimensional units]
+    | 
+    |-- Density           : Constant density: ρ=2900 kg m⁻³ 
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  
+    |                       Linear viscosity: η=1.0e23 Pa s 
+                            
+ Phase 2 : Lower Crust
+    | [dimensional units]
+    | 
+    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa 
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹  
+    |                       Linear viscosity: η=1.0e21 Pa s </code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/MaterialParameters.jl#L99-L184">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParams" href="#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MaterialParams</code></pre><p>Structure that holds all material parameters for a given phase</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/MaterialParameters.jl#L59-L64">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../nondimensionalize/">« Nondimensionalization</a><a class="docs-footer-nextpage" href="../density/">Density »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Sunday 28 January 2024 08:37">Sunday 28 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.5/man/melting/index.html b/v0.5.5/man/melting/index.html
new file mode 100644
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--- /dev/null
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Partial Melting · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input 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Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Partial Melting</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Partial Melting</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/melting.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Melting-Parameterizations"><a class="docs-heading-anchor" href="#Melting-Parameterizations">Melting Parameterizations</a><a id="Melting-Parameterizations-1"></a><a class="docs-heading-anchor-permalink" href="#Melting-Parameterizations" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>A number of melting parameterisations are implemented, which can be set with:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Caricchi" href="#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Caricchi()</code></pre><p>Implements the T-dependent melting parameterisation used by Caricchi, Simpson et al. (as for example described in Simpson)</p><p class="math-container">\[    \theta = {(a - (T + c)) \over b}\]</p><p class="math-container">\[    \phi_{melt} = {1.0 \over (1.0 + e^\theta)}\]</p><p>Note that T is in Kelvin. As default parameters we employ:</p><p class="math-container">\[b=23K,  a=800K , c=273.15K\]</p><p>Which gives a reasonable fit to experimental data of granodioritic composition (Piwinskii and Wyllie, 1968):</p><p><img src="../assets/img/MeltingParam_Caricchi.png" alt="MeltParam_Carrichi"/></p><p><strong>References</strong></p><ul><li>Simpson G. (2017) Practical finite element modelling in Earth Sciences Using MATLAB.</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/MeltFraction/MeltingParameterization.jl#L33-L55">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_5thOrder" href="#GeoParams.MeltingParam.MeltingParam_5thOrder"><code>GeoParams.MeltingParam.MeltingParam_5thOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_5thOrder(a,b,c,d,e,f,T_s,T_l)</code></pre><p>Uses a 5th order polynomial to describe the melt fraction <code>phi</code> between solidus temperature <code>T_s</code> and liquidus temperature <code>T_l</code></p><p class="math-container">\[    \phi = a T^5 + b T^4 + c T^3 + d T^2 + e T + f  \textrm{   for   } T_s ≤ T ≤ T_l\]</p><p class="math-container">\[    \phi = 1  \textrm{   if   } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0  \textrm{   if   } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_5thorder.png" alt="MeltingParam_5thOrder"/></p><p>The default values are for a composite liquid-line-of-descent:</p><ul><li>the upper part is for Andesite from: (Blatter, D. L. &amp; Carmichael, I. S. (2001) Hydrous phase equilibria of a Mexican highsilica andesite: a candidate for a mantle origin? Geochim. Cosmochim. Acta 65, 4043–4065</li><li>the lower part is extrapolated to the granitic minimum using the Marxer &amp; Ulmer LLD for Andesite (Marxer, F. &amp; Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. <em>Contributions Mineral. Petrol.</em> 174, 84)</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/MeltFraction/MeltingParameterization.jl#L93-L114">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_4thOrder" href="#GeoParams.MeltingParam.MeltingParam_4thOrder"><code>GeoParams.MeltingParam.MeltingParam_4thOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_4thOrder(b,c,d,e,f,T_s,T_l)</code></pre><p>Uses a 4th order polynomial to describe the melt fraction <code>phi</code> between solidus temperature <code>T_s</code> and liquidus temperature <code>T_l</code></p><p class="math-container">\[    \phi = b T^4 + c T^3 + d T^2 + e T + f  \textrm{   for   } T_s ≤ T ≤ T_l\]</p><p class="math-container">\[    \phi = 1 \textrm{   if   } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0  \textrm{   if   } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_4thorder.png" alt="MeltingParam_4thOrder"/></p><p>The default values are for Tonalite experiments from Marxer and Ulmer (2019):</p><ul><li>Marxer, F. &amp; Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. <em>Contributions Mineral. Petrol.</em> 174, 84</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/MeltFraction/MeltingParameterization.jl#L176-L196">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Quadratic" href="#GeoParams.MeltingParam.MeltingParam_Quadratic"><code>GeoParams.MeltingParam.MeltingParam_Quadratic</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Quadratic(T_s,T_l)</code></pre><p>Quadratic melt fraction parameterisation where melt fraction <span>$\phi$</span> depends only on solidus (<span>$T_s$</span>) and liquidus (<span>$T_l$</span>) temperature:</p><p class="math-container">\[    \phi = 1.0 - \left( {T_l - T} \over {T_l - T_s} \right)^2\]</p><p class="math-container">\[    \phi = 1.0 \textrm{ if } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0.0 \textrm{ if } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_Quadratic.png" alt="MeltingParam_Quadratic"/></p><p>This was used, among others, in Tierney et al. (2016) Geology</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/MeltFraction/MeltingParameterization.jl#L261-L280">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Assimilation" href="#GeoParams.MeltingParam.MeltingParam_Assimilation"><code>GeoParams.MeltingParam.MeltingParam_Assimilation</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Assimilation(T_s,T_l,a)</code></pre><p>Melt fraction parameterisation that takes the assimilation of crustal host rocks into account, as used by Tierney et al. (2016) based upon a parameterisation of Spera and Bohrson (2001)</p><p>Here, the fraction of molten and assimilated host rocks <span>$\phi$</span> depends on the solidus (<span>$T_s$</span>) and liquidus (<span>$T_l$</span>) temperatures of the rocks, as well as on a parameter <span>$a=0.005$</span></p><p class="math-container">\[    X = \left( {T - T_s} \over {T_l - T_s} \right)\]</p><p class="math-container">\[    \phi = a \cdot \left( \exp^{2ln(100)X} - 1.0 \right) \textrm{ if } X ≤ 0.5\]</p><p class="math-container">\[    \phi = 1- a \cdot \exp^{2ln(100)(1-X)}  \textrm{ if } X &gt; 0.5\]</p><p class="math-container">\[    \phi = 1.0 \textrm{ if } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0.0 \textrm{ if } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_Assimilation.png" alt="MeltingParam_Assimilation"/></p><p>This was used, among others, in Tierney et al. (2016), who employed as default parameters:</p><p class="math-container">\[   T_s=973.15, T_l=1173.15, a=0.005\]</p><p><strong>References</strong></p><ul><li>Spera, F.J., and Bohrson, W.A., 2001, Energy-Constrained Open-System Magmatic Processes I: General Model and Energy-Constrained Assimilation and Fractional Crystallization (EC- AFC) Formulation: Journal of Petrology, v. 42, p. 999–1018.</li><li>Tierney, C.R., Schmitt, A.K., Lovera, O.M., de Silva, S.L., 2016. Voluminous plutonism during volcanic quiescence revealed by thermochemical modeling of zircon. Geology 44, 683–686. https://doi.org/10.1130/G37968.1</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/MeltFraction/MeltingParameterization.jl#L327-L362">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.SmoothMelting" href="#GeoParams.MeltingParam.SmoothMelting"><code>GeoParams.MeltingParam.SmoothMelting</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">SmoothMelting(; p=MeltingParam_4thOrder(), k_sol=0.2/K,  k_liq=0.2/K)</code></pre><p>This smoothens the melting parameterisation <span>$p$</span> around the solidus <span>$T_{sol}$</span> and liquidus <span>$T_{liq}$</span> using a smoothened Heaviside step functions for the solidus:</p><p class="math-container">\[    H_{sol} =  {1.0 \over { 1 + \exp( -2 k_{sol} (T - T_{sol} - {2 \over k_{sol}}) )  }}\]</p><p>and liquidus:</p><p class="math-container">\[    H_{liq} =  1.0 - {1.0 \over { 1 + \exp( -2 k_{liq} (T - T_{liq} + {2 \over k_{liq}}) )  }}\]</p><p>The resulting melt fraction <span>$\phi$</span> is computed from the original melt fraction <span>$\phi_0$</span> (computed using one of the methods above) as:</p><p class="math-container">\[    \phi =  \phi_0 H_{sol} H_{liq} + 1.0 - H_{liq}\]</p><p>The width of the smoothening zones is controlled by <span>$k_{sol}, k_{liq}$</span> (larger values = sharper boundary).</p><p>This is important, as jumps in the derivative <span>$dϕ/dT$</span> can cause numerical instabilities in latent heat computations, which is prevented with this smoothening.</p><p><strong>Example</strong></p><p>Let&#39;s consider a 4th order parameterisation:</p><pre><code class="language-julia hljs">julia&gt; using GLMakie, GeoParams
+julia&gt; p = MeltingParam_4thOrder();
+julia&gt; T= collect(650.0:1:1050.) .+ 273.15;
+julia&gt; T,phi,dϕdT =  PlotMeltFraction(p,T=T);</code></pre><p>The same but with smoothening:</p><pre><code class="language-julia hljs">julia&gt; p_s = SmoothMelting(p=MeltingParam_4thOrder(), k_liq=0.21/K);
+4th order polynomial melting curve: phi = -7.594512597174117e-10T^4 + 3.469192091489447e-6T^3 + -0.00592352980926T^2 + 4.482855645604745T + -1268.730161921053  963.15 K ≤ T ≤ 1270.15 K with smooth Heaviside function smoothening using k_sol=0.1 K⁻¹·⁰, k_liq=0.11 K⁻¹·⁰
+julia&gt; T_s,phi_s,dϕdT_s =  PlotMeltFraction(p_s,T=T);</code></pre><p>We can create plots of this with:</p><pre><code class="language-julia hljs">julia&gt; plt1 = plot(T.-273.15, phi, ylabel=&quot;Melt Fraction ϕ&quot;, color=:red, label=&quot;original&quot;, xlabel=&quot;Temperature [C]&quot;)
+julia&gt; plt1 = plot(plt1, T.-273.15, phi_s,  color=:black, label=&quot;smoothened&quot;, legend=:bottomright)
+julia&gt; plt2 = plot(T.-273.15, dϕdT, ylabel=&quot;dϕ/dT&quot;, color=:red, label=&quot;original&quot;, xlabel=&quot;Temperature [C]&quot;)
+julia&gt; plt2 = plot(plt2, T.-273.15, dϕdT_s,  color=:black, label=&quot;smoothened&quot;, legend=:topright)
+julia&gt; plot!(plt1,plt2,   xlabel=&quot;Temperature [C]&quot;, layout=(2,1))</code></pre><p>The derivative no longer has a jump now:</p><p><img src="../assets/img/MeltingParam_Smooth.png" alt="MeltingParam_Smooth"/></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/MeltFraction/MeltingParameterization.jl#L437-L488">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute the melt fraction at given <code>T</code> and <code>P</code>, use:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction!" href="#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_meltfraction!(ϕ::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T:AbstractArray{&lt;:AbstractFloat}, p::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/MeltFraction/MeltingParameterization.jl#L571-L575">source</a></section><section><div><pre><code class="nohighlight hljs">compute_meltfraction(ϕ::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/MeltFraction/MeltingParameterization.jl#L658-L662">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction" href="#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_meltfraction(P,T, p::AbstractPhaseDiagramsStruct)</code></pre><p>Computes melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/MeltFraction/MeltingParameterization.jl#L559-L563">source</a></section><section><div><pre><code class="nohighlight hljs">ϕ = compute_meltfraction(Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/MeltFraction/MeltingParameterization.jl#L651-L655">source</a></section></article><p>You can also obtain the derivative of melt fraction versus temperature with (useful to compute latent heat effects):</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_dϕdT!" href="#GeoParams.MeltingParam.compute_dϕdT!"><code>GeoParams.MeltingParam.compute_dϕdT!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_dϕdT!(ϕ::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computates the derivative of melt fraction <code>ϕ</code> versus temperature <code>T</code>, <span>${\partial \phi} \over {\partial T}$</span> for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This is employed, for example, in computing latent heat terms in an implicit manner.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/MeltFraction/MeltingParameterization.jl#L681-L686">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_dϕdT" href="#GeoParams.MeltingParam.compute_dϕdT"><code>GeoParams.MeltingParam.compute_dϕdT</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_dϕdT(P,T, p::AbstractPhaseDiagramsStruct)</code></pre><p>Computes derivative of melt fraction vs T in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified. The derivative is computed by finite differencing.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/MeltFraction/MeltingParameterization.jl#L578-L583">source</a></section><section><div><pre><code class="nohighlight hljs">ϕ = compute_dϕdT(Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computates the derivative of melt fraction ϕ versus temperature <code>T</code> for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This is employed in computing latent heat terms in an implicit manner, for example</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/MeltFraction/MeltingParameterization.jl#L673-L678">source</a></section></article><p>Also note that phase diagrams can be imported using <code>PerpleX_LaMEM_Diagram</code>, which may also have melt content information. The computational routines work with that as well.</p><h1 id="Plotting-routines"><a class="docs-heading-anchor" href="#Plotting-routines">Plotting routines</a><a id="Plotting-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting-routines" title="Permalink"></a></h1><p>You can use the routine <code>PlotMeltFraction</code> to create a plot, provided that the <code>GLMakie</code> package has been loaded</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotMeltFraction" href="#GeoParams.PlotMeltFraction"><code>GeoParams.PlotMeltFraction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">T,phi,plt = PlotMeltFraction(p::AbstractMeltingParam; T=nothing, plt=nothing, lbl=nothing)</code></pre><p>Creates a plot of temperature <code>T</code> vs. melt fraction, as specified in <code>p</code>. The 1D curve can be evaluated at a specific pressure <code>P</code> which can be given as a scalar or as an array of the same size as <code>T</code></p><p><strong>Optional parameters</strong></p><ul><li><code>T</code>: temperature range</li><li><code>P</code>: pressure</li><li><code>plt</code>: a previously generated plotting object</li><li><code>lbl</code>: label of the curve</li></ul><p><strong>Example</strong></p><pre><code class="nohighlight hljs">julia&gt; p          =  MeltingParam_Caricchi()
+julia&gt; T,phi,dϕdT =  PlotMeltFraction(p)</code></pre><p>you can now save the figure to disk with:</p><pre><code class="nohighlight hljs">julia&gt; using Plots
+julia&gt; savefig(plt,&quot;MeltFraction.png&quot;)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Plotting/Plotting.jl#L622-L645">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../gravity/">« Gravity</a><a class="docs-footer-nextpage" href="../TASclassification/">TAS classification »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Sunday 28 January 2024 08:37">Sunday 28 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Nondimensionalization · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Nondimensionalization</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Nondimensionalization</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/nondimensionalize.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Nondimensionalization"><a class="docs-heading-anchor" href="#Nondimensionalization">Nondimensionalization</a><a id="Nondimensionalization-1"></a><a class="docs-heading-anchor-permalink" href="#Nondimensionalization" title="Permalink"></a></h1><p>Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between <code>GEO</code>, <code>SI</code> or <code>NO</code> units:</p><ul><li><code>SI</code> units assume all input and output is in <code>SI</code> units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).</li><li><code>GEO</code> units uses <code>SI</code> units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as <code>Myrs</code>,<code>km</code> or <code>MPa</code></li><li><code>NO</code> units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that <code>velocity</code> is given in <code>m/s</code>).</li></ul><p>A dimensional parameter can be transformed into a non-dimensional one with <code>nondimensionalize</code>.</p><h1 id="Specify-characteristic-values"><a class="docs-heading-anchor" href="#Specify-characteristic-values">Specify characteristic values</a><a id="Specify-characteristic-values-1"></a><a class="docs-heading-anchor-permalink" href="#Specify-characteristic-values" title="Permalink"></a></h1><p>Characteristic values can be defined in 3 ways.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units" href="#GeoParams.Units"><code>GeoParams.Units</code></a> — <span class="docstring-category">Module</span></header><section><div><pre><code class="language-julia hljs">This provides units and creates a non-dimensionalization object</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Units.jl#L1-L3">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.AbstractGeoUnit" href="#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><p>AbstractGeoUnit</p><p>Abstract supertype for geo units.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Units.jl#L96-L100">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnit" href="#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.
+
+Having that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.
+With the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Units.jl#L110-L117">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnits" href="#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">GeoUnits
+
+Structure that holds parameters used for non-dimensionalization</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Units.jl#L307-L311">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GEO_units" href="#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)</code></pre><p>Creates a non-dimensionalization object using GEO units.</p><p>GEO units implies that upon dimensionalization, <code>time</code> will be in <code>Myrs</code>, <code>length</code> in <code>km</code>, stress in <code>MPa</code>, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (<code>km</code> or <code>m</code>), provided the unit is specified.</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = GEO_units()
+Employing GEO units 
+Characteristic values: 
+         length:      1000 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C
+julia&gt; CharUnits.velocity
+1.0e-7 m s⁻¹</code></pre><p>If we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic <code>length</code>:</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = GEO_units(length=10km)
+Employing GEO units 
+Characteristic values: 
+         length:      10 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Units.jl#L359-L390">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.SI_units" href="#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)</code></pre><p>Specify the characteristic values using SI units </p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = SI_units(length=1000m)
+Employing SI units 
+Characteristic values: 
+         length:      1000 m
+         time:        1.0e19 s
+         stress:      10 Pa
+         temperature: 1000.0 K</code></pre><p>Note that the same can be achieved if the input is given in <code>km</code>:</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = SI_units(length=1km)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Units.jl#L429-L448">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.NO_units" href="#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)</code></pre><p>Specify the characteristic values in non-dimensional units</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GeoParams;
+julia&gt; CharUnits = NO_units()
+Employing NONE units 
+Characteristic values: 
+         length:      1
+         time:        1.0 
+         stress:      1
+         temperature: 1.0</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Units.jl#L487-L503">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_val" href="#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia hljs">This unpacks the numerical value of `GeoUnit` in a structure, without the units.
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_val ρ,α = r
+julia&gt; α
+4.0e-5
+julia&gt; typeof(α)
+Float64</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/unpack.jl#L4-L23">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_units" href="#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia hljs">This unpacks the numerical value with units of `GeoUnit` parameters in a structure
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_units ρ,α = r
+julia&gt; α
+4.0e-5 K⁻¹·⁰
+julia&gt; typeof(α)
+Quantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/unpack.jl#L46-L65">source</a></section></article><h1 id="(Non)-dimensionalize-parameters"><a class="docs-heading-anchor" href="#(Non)-dimensionalize-parameters">(Non)-dimensionalize parameters</a><a id="(Non)-dimensionalize-parameters-1"></a><a class="docs-heading-anchor-permalink" href="#(Non)-dimensionalize-parameters" title="Permalink"></a></h1><p>Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.nondimensionalize" href="#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">nondimensionalize(param, CharUnits::GeoUnits{TYPE})</code></pre><p>Nondimensionalizes <code>param</code> using the characteristic values specified in <code>CharUnits</code></p><p><strong>Example 1</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GeoParams;
+julia&gt; CharUnits =   GEO_units();
+julia&gt; v         =   3cm/yr
+3 cm yr⁻¹ 
+julia&gt; v_ND      =   nondimensionalize(v, CharUnits) 
+0.009506426344208684</code></pre><p><strong>Example 2</strong></p><p>In geodynamics one sometimes encounters more funky units</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits =   GEO_units();
+julia&gt; A         =   6.3e-2MPa^-3.05*s^-1
+0.063 MPa⁻³·⁰⁵ s⁻¹
+julia&gt; A_ND      =   nondimensionalize(A, CharUnits) 
+7.068716262102384e14</code></pre><p>In case you are interested to see how the units of <code>A</code> look like in different units, use this function from the <a href="https://github.com/PainterQubits/Unitful.jl">Unitful</a> package:</p><pre><code class="language-julia-repl hljs">julia&gt; uconvert(u&quot;Pa^-3.05*s^-1&quot;,A) 
+3.157479571851836e-20 Pa⁻³·⁰⁵</code></pre><p>and to see it decomposed in the basic <code>SI</code> units of length, mass and time:</p><pre><code class="language-julia-repl hljs">julia&gt; upreferred(A)
+3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Units.jl#L537-L571">source</a></section><section><div><pre><code class="nohighlight hljs">param = nondimensionalize(param::NTuple{N,Quantity}, g::GeoUnits{TYPE})</code></pre><p>nondimensionalizes a tuple of parameters    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Units.jl#L603-L607">source</a></section><section><div><pre><code class="nohighlight hljs">MatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Non-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p><p><strong></strong></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Units.jl#L640-L645">source</a></section><section><div><pre><code class="nohighlight hljs">nondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>nondimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Units.jl#L673-L677">source</a></section><section><div><pre><code class="nohighlight hljs">MatParam_ND = nondimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)</code></pre><p>Non-dimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Units.jl#L712-L717">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.dimensionalize" href="#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes <code>param</code> into the dimensions <code>param_dim</code> using the characteristic values specified in <code>CharUnits</code>.  </p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits =   GEO_units();
+julia&gt; v_ND      =   nondimensionalize(3cm/yr, CharUnits) 
+0.031688087814028945
+julia&gt; v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) 
+3.0 cm yr⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Units.jl#L724-L738">source</a></section><section><div><pre><code class="nohighlight hljs">dimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Units.jl#L759-L764">source</a></section><section><div><pre><code class="nohighlight hljs">Dimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>Dimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Units.jl#L792-L796">source</a></section><section><div><pre><code class="nohighlight hljs">dimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)</code></pre><p>dimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Units.jl#L839-L844">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.isDimensional" href="#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">isDimensional(MatParam::AbstractMaterialParam)</code></pre><p><code>true</code> if MatParam is in dimensional units.    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Units.jl#L851-L855">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../geounit/">« GeoUnit</a><a class="docs-footer-nextpage" href="../materialparameters/">Material Parameters »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Sunday 28 January 2024 08:37">Sunday 28 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.5/man/phasediagrams/index.html b/v0.5.5/man/phasediagrams/index.html
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+++ b/v0.5.5/man/phasediagrams/index.html
@@ -0,0 +1,12 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Phase Diagrams · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li class="is-active"><a class="tocitem" href>Phase Diagrams</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Perple_X"><span>Perple_X</span></a></li></ul></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Phase Diagrams</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Phase Diagrams</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/phasediagrams.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Phase-Diagrams"><a class="docs-heading-anchor" href="#Phase-Diagrams">Phase Diagrams</a><a id="Phase-Diagrams-1"></a><a class="docs-heading-anchor-permalink" href="#Phase-Diagrams" title="Permalink"></a></h1><p>It is possible to employ phase diagrams as lookup tables, which can be used to compute density, melt fraction or seismic properties, for example. </p><h1 id="Perple_X"><a class="docs-heading-anchor" href="#Perple_X">Perple_X</a><a id="Perple_X-1"></a><a class="docs-heading-anchor-permalink" href="#Perple_X" title="Permalink"></a></h1><p>A popular way to compute phase diagrams (pseudosections) for a given (fixed) chemical composition as a function of pressure and temperature is by using <a href="https://www.perplex.ethz.ch">Perple_X</a>. Once a stable assemblage is computed, through Gibbs energy minimisation, it allows you to output a large number of properties such as density, melt fraction or seismic velocities.</p><p>Within GeoParams, we can import this diagram (provided it is formatted in the same manner as <code>LaMEM</code> expects <code>Perple_X</code> input to be).</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PerpleX_LaMEM_Diagram" href="#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">PD_Data = PerpleX_LaMEM_Diagram(fname::String; CharDim = nothing)</code></pre><p>Reads a precomputed phase diagram in the <code>LaMEM/Perple_X</code> format (which is a phase diagram computed using <code>Perple_X</code>, but formatted in a manner that is readable using LaMEM). The data is stored in the <code>PhaseDiagram_LookupTable</code> structure.</p><p>If the <code>CharDim</code> object is specified, the values of all diagrams will be non-dimensionalized.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; PD_Data = PerpleX_LaMEM_Diagram(&quot;./test_data/Peridotite.in&quot;)
+Perple_X/LaMEM Phase Diagram Lookup Table: 
+                      File    :   ./test_data/Peridotite.in
+                      T       :   293.0 - 1573.000039
+                      P       :   1.0e7 - 2.9999999944e9
+                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp
+                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs
+                                  :Vp, :Vs, :VpVs</code></pre><p>Once imported, the properties on the diagram can be interpolated in a simple manner:</p><pre><code class="nohighlight hljs">julia&gt; PD_Data.Rho(1500,1e7)
+3042.836820256982</code></pre><p>This also works for vectors or arrays:</p><pre><code class="language-julia hljs">julia&gt; T = [1500 1800; 1233 1300]
+julia&gt; P = [1e8 1e9; 1e7 1e7]
+julia&gt; rho = PD_Data.Rho.(T,P)</code></pre><p>(Note the dot <code>.</code> in front of the bracket while evaluating arrays).</p><p>The fields that are available depend on what is listed in the diagram file.  The units of the fields are automatically evaluated, and employed to non-dimensionalize the parameters if <code>CharDim</code> is specified. </p><p><strong>Algorithm</strong></p><p>Internally, we employ linear interpolation, as provided by the <a href="https://github.com/JuliaMath/Interpolations.jl">Interpolations.jl</a> package. Values outside the range of the diagram are set to the boundary of the diagram. The interpolation object is directly encoded in the <code>PhaseDiagram_LookupTable</code>` object.  </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/PhaseDiagrams/PhaseDiagrams.jl#L44-L85">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable" href="#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Contains data of a Phase Diagram that is regularly spaced in P &amp; T</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/PhaseDiagrams/PhaseDiagrams.jl#L14-L16">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../zirconages/">« Zircon Ages</a><a class="docs-footer-nextpage" href="../seismicvelocity/">Seismic Velocity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Sunday 28 January 2024 08:37">Sunday 28 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.5/man/plasticity/index.html b/v0.5.5/man/plasticity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Plasticity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li class="is-active"><a class="tocitem" href>Plasticity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Implemented-laws"><span>Implemented laws</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Plasticity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Plasticity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/plasticity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Plasticity"><a class="docs-heading-anchor" href="#Plasticity">Plasticity</a><a id="Plasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Plasticity" title="Permalink"></a></h1><p>Plasticity is a non-linear rheology that is activated once stresses exceed a certain yield criteria.</p><h1 id="Implemented-laws"><a class="docs-heading-anchor" href="#Implemented-laws">Implemented laws</a><a id="Implemented-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-laws" title="Permalink"></a></h1><p>The following plastic law are implemented:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.Plasticity.DruckerPrager</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.Plasticity.DruckerPrager_regularised</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>Usually, plasticity should be defined as part of a <code>CompositeRheology</code> structure and calculations can be done as with all other rheology computations by using <code>compute_τII</code>.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../elasticity/">« Elasticity</a><a class="docs-footer-nextpage" href="../heatcapacity/">Heat Capacity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Sunday 28 January 2024 08:37">Sunday 28 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.5/man/plotting/index.html b/v0.5.5/man/plotting/index.html
new file mode 100644
index 000000000..7d4b39407
--- /dev/null
+++ b/v0.5.5/man/plotting/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Plotting · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li class="is-active"><a class="tocitem" href>Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Plotting</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Plotting</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/plotting.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Plotting"><a class="docs-heading-anchor" href="#Plotting">Plotting</a><a id="Plotting-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting" title="Permalink"></a></h1><p>We provide a number of plotting routines. Note that these plotting routines only become available once the <code>GLMakie</code> package is loaded.</p><h3 id="Plot-CreepLaws"><a class="docs-heading-anchor" href="#Plot-CreepLaws">Plot CreepLaws</a><a id="Plot-CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#Plot-CreepLaws" title="Permalink"></a></h3><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotStressStrainrate_CreepLaw</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotHeatCapacity" href="#GeoParams.PlotHeatCapacity"><code>GeoParams.PlotHeatCapacity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">T,Cp,plt = PlotHeatCapacity(cp::AbstractHeatCapacity; T=nothing, plt=nothing, lbl=nothing)</code></pre><p>Creates a plot of temperature <code>T</code> vs. heat capacity, as specified in cp (which can be temperature-dependent).</p><p><strong>Optional parameters</strong></p><ul><li>T: temperature range</li><li>plt: a previously generated plotting object</li><li>lbl: label of the curve</li></ul><p><strong>Example</strong></p><pre><code class="nohighlight hljs">julia&gt; cp = T_HeatCapacity_Whittacker()
+julia&gt; T,Cp,plt = PlotHeatCapacity(cp)</code></pre><p>you can now save the figure to disk with:</p><pre><code class="nohighlight hljs">julia&gt; using Plots
+julia&gt; savefig(plt,&quot;Tdependent_heatcapacity.png&quot;)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Plotting/Plotting.jl#L522-L543">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotConductivity" href="#GeoParams.PlotConductivity"><code>GeoParams.PlotConductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">T,Kk,plt = PlotConductivity(cp::AbstractConductivity; T=nothing, plt=nothing, lbl=nothing)</code></pre><p>Creates a plot of temperature <code>T</code> vs. thermal conductivity, as specified in <code>k</code> (which can be temperature-dependent).</p><p><strong>Optional parameters</strong></p><ul><li><code>T</code>: temperature range</li><li><code>plt</code>: a previously generated plotting object</li><li><code>lbl</code>: label of the curve</li></ul><p><strong>Example</strong></p><pre><code class="nohighlight hljs">julia&gt; k = T_Conductivity_Whittacker()
+julia&gt; T,KK,plt = PlotConductivity(k)</code></pre><p>you can now save the figure to disk with:</p><pre><code class="nohighlight hljs">julia&gt; using Plots
+julia&gt; savefig(plt,&quot;Tdependent_conductivity.png&quot;)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Plotting/Plotting.jl#L567-L588">source</a></section></article><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotMeltFraction</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotPhaseDiagram" href="#GeoParams.PlotPhaseDiagram"><code>GeoParams.PlotPhaseDiagram</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">plt, data, Tvec, Pvec = PlotPhaseDiagram(p::PhaseDiagram_LookupTable; fieldname::Symbol, Tvec=nothing, Pvec=nothing)</code></pre><p>Plots a phase diagram as a function of <code>T</code> (x-axis) and <code>P</code> (y-axis). We either use the default ranges of the diagram, or you can specify the temperature and pressure ranges (while specifying units). The return arguments are the plotting object <code>plt</code> (so you can modify properties) as well as the data that is being plotted</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; PD_data =  Read_LaMEM_Perple_X_Diagram(&quot;Peridotite.in&quot;)
+Perple_X/LaMEM Phase Diagram Lookup Table:
+                      File    :   Peridotite.in
+                      T       :   293.0 - 1573.000039
+                      P       :   1.0e7 - 2.9999999944e9
+                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp
+                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs
+                                  :Vp, :Vs, :VpVs, :cpxFrac
+julia&gt; PlotPhaseDiagram(PD_data,:meltFrac, Tvec=(100:1:1400).*C, Pvec=(.1:.1:30).*kbar )</code></pre><p>This will generate the following plot <img src="../assets/img/PhaseDiagram.png" alt="subet2"/></p><p>You can also use the default pressure/temperature ranges in the diagrams:</p><pre><code class="language-julia hljs">julia&gt; PlotPhaseDiagram(PD_data,:Rho)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Plotting/Plotting.jl#L681-L709">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PlotDeformationMap" href="#GeoParams.PlotDeformationMap"><code>GeoParams.PlotDeformationMap</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">fig = PlotDeformationMap(v;    args=(P=0.0, d=1e-3, f=1.0),
+                            σ = (1e-2, 1e8),                # in MPa
+                            T = (10, 1000),                 # in C
+                            ε = (1e-22, 1e-8),              # in 1/s
+                            n = 400,                        # number of points
+                            rotate_axes = false,            # flip x &amp; y axes
+                            strainrate = true,              # strainrate (otherwise stress)
+                            viscosity = false,              # plot viscosity instead of strainrate/stress
+                            boundaries = true,              # plot deformation boundaries
+                            levels = 20,                    # number of contour levels
+                            colormap=:viridis,              # colormap
+                            filename=nothing,               # if you want to save this to file
+                            fontsize=40,                    # fontsize of labels
+                            res=(1200, 900))                # resolution in pixels</code></pre><p>Creates a deformation mechanism map (T/εII vs. stress/viscosity or T/τII vs. strainrate/viscosity) for given (composite) rheology <code>v</code></p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; v1 = SetDiffusionCreep(&quot;Dry Anorthite | Rybacki et al. (2006)&quot;)
+julia&gt; v2 = SetDislocationCreep(&quot;Dry Anorthite | Rybacki et al. (2006)&quot;)
+julia&gt; v=CompositeRheology(v1,v2)
+julia&gt; PlotDeformationMap(v, levels=100, colormap=:roma)</code></pre><p>Next, let&#39;s plot viscosity and flip x &amp; y axis:</p><pre><code class="language-julia hljs">julia&gt; PlotDeformationMap(v, viscosity=true, rotate_axes=true)</code></pre><p>Instead of plotting stress vs. T and computing strainrate, we can also provide strainrate/T and compute stress:</p><pre><code class="language-julia hljs">julia&gt; PlotDeformationMap(v, strainrate=false)</code></pre><p>Or plot viscosity but only add contours in a certain range:</p><pre><code class="language-julia hljs">julia&gt; PlotDeformationMap(v,  strainrate=false, viscosity=true, levels=Vector(18:.25:24))</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Plotting/Plotting.jl#L915-L953">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../strengthenvelope/">« 1D Strength Envelope</a><a class="docs-footer-nextpage" href="../listfunctions/">List of functions »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Sunday 28 January 2024 08:37">Sunday 28 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.5/man/radioactiveheating/index.html b/v0.5.5/man/radioactiveheating/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Radioactive heat · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li class="is-active"><a class="tocitem" href>Radioactive heat</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Radioactive heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Radioactive heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/radioactiveheating.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Radioactive-heat"><a class="docs-heading-anchor" href="#Radioactive-heat">Radioactive heat</a><a id="Radioactive-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Radioactive-heat" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Radioactive heat sources are defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat" href="#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)</code></pre><p>Set a constant radioactive heat:</p><p class="math-container">\[    H_r  = cst\]</p><p>where <span>$H_r$</span> is the radioactive heat source [<span>$Watt/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Energy/RadioactiveHeat.jl#L23-L31">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat" href="#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ExpDepthDependent(H_0=1e-6Watt/m^3, h_r=10e3m, z_0=0m)</code></pre><p>Sets an exponential depth-dependent radioactive </p><p class="math-container">\[    H_r  = H_0 \exp \left( {- {(z - z_0) \over h_r}} \right)\]</p><p>where <span>$H_0$</span> is the radioactive heat source [<span>$Watt/m^3$</span>] at <span>$z=z_0$</span> which decays with depth over a characteristic distance <span>$h_r$</span>.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Energy/RadioactiveHeat.jl#L63-L71">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat!</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../latentheat/">« Latent heat</a><a class="docs-footer-nextpage" href="../shearheating/">Shear heating »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Sunday 28 January 2024 08:37">Sunday 28 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.5/man/seismicvelocity/index.html b/v0.5.5/man/seismicvelocity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Seismic Velocity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li class="is-active"><a class="tocitem" href>Seismic Velocity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-velocity-correction-for-partial-melt"><span>Seismic velocity correction for partial melt</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-2"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-2"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity"><span>Seismic S-wave velocity correction for (shallow depth) porosity</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-3"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-3"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-velocity-correction-for-anelasticity"><span>Seismic velocity correction for anelasticity</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-4"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-4"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Seismic Velocity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Seismic Velocity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/seismicvelocity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Seismic-velocity"><a class="docs-heading-anchor" href="#Seismic-velocity">Seismic velocity</a><a id="Seismic-velocity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Seismic velocity can specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity" href="#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)</code></pre><p>Set a constant seismic P and S-wave velocity:</p><p class="math-container">\[    V_p = cst\]</p><p class="math-container">\[    V_s = cst\]</p><p>where <span>$V_p, V_s$</span> are the P-wave and S-wave velocities [<span>$km/s$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/SeismicVelocity/SeismicVelocity.jl#L35-L46">source</a></section></article><p>In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.</p><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To evaluate seismic velocity within a user routine, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_swave_velocity!</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_pwave_velocity!</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_pwave_velocity</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_swave_velocity</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-velocity-correction-for-partial-melt"><a class="docs-heading-anchor" href="#Seismic-velocity-correction-for-partial-melt">Seismic velocity correction for partial melt</a><a id="Seismic-velocity-correction-for-partial-melt-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity-correction-for-partial-melt" title="Permalink"></a></h1><h1 id="Methods-2"><a class="docs-heading-anchor" href="#Methods-2">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-2" title="Permalink"></a></h1><p>The routine uses the reduction formulation of Clark et al., (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.</p><h1 id="Computational-routines-2"><a class="docs-heading-anchor" href="#Computational-routines-2">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-2" title="Permalink"></a></h1><p>To compute melt-content based correction for seismic waves velocities, you can use:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.melt_correction</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity"><a class="docs-heading-anchor" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity">Seismic S-wave velocity correction for (shallow depth) porosity</a><a id="Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity" title="Permalink"></a></h1><h1 id="Methods-3"><a class="docs-heading-anchor" href="#Methods-3">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-3" title="Permalink"></a></h1><p>This routine is based on the equilibrium geometry model for the solid skeleton of Takei et al. (1998) and the porosity-depth empirical relationship of Chen et al. (2020)</p><h1 id="Computational-routines-3"><a class="docs-heading-anchor" href="#Computational-routines-3">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-3" title="Permalink"></a></h1><p>To compute porosity based correction for seismic S-wave velocity, you can use:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.porosity_correction</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-velocity-correction-for-anelasticity"><a class="docs-heading-anchor" href="#Seismic-velocity-correction-for-anelasticity">Seismic velocity correction for anelasticity</a><a id="Seismic-velocity-correction-for-anelasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity-correction-for-anelasticity" title="Permalink"></a></h1><h1 id="Methods-4"><a class="docs-heading-anchor" href="#Methods-4">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-4" title="Permalink"></a></h1><p>The routine uses the reduction formulation of karato (1993), using the quality factor formulation from Behn et al. (2009)</p><h1 id="Computational-routines-4"><a class="docs-heading-anchor" href="#Computational-routines-4">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-4" title="Permalink"></a></h1><p>To compute a correction of S-wave velocity for anelasticity, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction" href="#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">    Vs_anel = anelastic_correction(water::Int64, Vs0::Float64,P::Float64,T::Float64)</code></pre><p>This routine computes a correction of S-wave velocity for anelasticity</p><p><strong>Input:</strong></p><ul><li><code>water</code>: water flag, 0 = dry; 1 = dampened; 2 = water saturated </li><li><code>Vs0</code>  : S-wave velocitiy of the solid phase (with or without melt correction)</li><li><code>P</code>    : pressure given in Pa</li><li><code>T</code>    : temperature given in °K</li></ul><p><strong>Output:</strong></p><ul><li><code>Vs_anel</code> : corrected S-wave velocity for anelasticity</li></ul><p>The routine uses the reduction formulation of Karato (1993), using the quality factor formulation from Behn et al. (2009)</p><p><strong>References:</strong></p><ul><li><p>Karato, S. I. (1993). Importance of anelasticity in the interpretation of seismic tomography. Geophysical research letters, 20(15), 1623-1626.</p></li><li><p>Behn, M. D., Hirth, G., &amp; Elsenbeck II, J. R. (2009). Implications of grain size evolution on the seismic structure of the oceanic upper mantle. Earth and Planetary Science Letters, 282(1-4), 178-189.</p></li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/SeismicVelocity/SeismicVelocity.jl#L354-L381">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../phasediagrams/">« Phase Diagrams</a><a class="docs-footer-nextpage" href="../strengthenvelope/">1D Strength Envelope »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Sunday 28 January 2024 08:37">Sunday 28 January 2024</span>. 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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Shear heating · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li class="is-active"><a class="tocitem" href>Shear heating</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Shear heating</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Shear heating</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/shearheating.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Shear-heating"><a class="docs-heading-anchor" href="#Shear-heating">Shear heating</a><a id="Shear-heating-1"></a><a class="docs-heading-anchor-permalink" href="#Shear-heating" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Heat caused by non-recoverable deformation can be specified in </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.ConstantShearheating" href="#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantShearheating(Χ=0.0NoUnits)</code></pre><p>Set the shear heating efficiency [0-1] parameter</p><p class="math-container">\[Χ  = cst\]</p><p>where <span>$\Chi$</span> is the shear heating efficiency [NoUnits]</p><p>Shear heating is computed as</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}(\dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Energy/Shearheating.jl#L23-L37">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">H_s = compute_shearheating(s:&lt;AbstractShearheating, τ, ε, ε_el)</code></pre><p>Computes the shear heating source term</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Energy/Shearheating.jl#L89-L104">source</a></section><section><div><pre><code class="nohighlight hljs">H_s = ComputeShearheating(s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij}\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Energy/Shearheating.jl#L107-L120">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating!" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_shearheating!(H_s, s:&lt;AbstractShearheating,  τ, ε, ε_el)</code></pre><p>Computes the shear heating source term in-place</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul><p><em>NOTE:</em> The shear heating terms require the full deviatoric stress &amp; strain rate tensors, i.e.:</p><p class="math-container">\[2D: \tau_{ij} = \left(
+                \begin{matrix}
+                    \tau_{xx} &amp; \tau_{xz} \\
+                    \tau_{zx} &amp; \tau_{zz}
+                \end{matrix}
+            \right)\]</p><p>Since <span>$\tau_{zx}=\tau_{xz}$</span>, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used!</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Energy/Shearheating.jl#L125-L152">source</a></section><section><div><pre><code class="nohighlight hljs">compute_shearheating!(H_s, s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term <code>H_s</code> in-place when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij}\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Energy/Shearheating.jl#L155-L168">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../radioactiveheating/">« Radioactive heat</a><a class="docs-footer-nextpage" href="../gravity/">Gravity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Sunday 28 January 2024 08:37">Sunday 28 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>1D Strength Envelope · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>1D Strength Envelope</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>1D Strength Envelope</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/strengthenvelope.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="D-Strength-envelope"><a class="docs-heading-anchor" href="#D-Strength-envelope">1D Strength envelope</a><a id="D-Strength-envelope-1"></a><a class="docs-heading-anchor-permalink" href="#D-Strength-envelope" title="Permalink"></a></h1><p>We provide a routine for computing a 1D strength envelope and the tools for setting up a temperature structure and lithostatic pressure profile.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ConstTemp" href="#GeoParams.ConstTemp"><code>GeoParams.ConstTemp</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstTemp(T=1000)</code></pre><p>Sets a constant temperature inside the box</p><p>Parameters:</p><ul><li>T : the value</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/StrengthEnvelope/StrengthEnvelope.jl#L8-L15">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.LinTemp" href="#GeoParams.LinTemp"><code>GeoParams.LinTemp</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">LinTemp(Ttop=0, Tbot=1000)</code></pre><p>Sets a linear temperature structure from top to bottom</p><p>Parameters:</p><ul><li>Ttop: the value @ the top</li><li>Tbot: the value @ the bottom</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/StrengthEnvelope/StrengthEnvelope.jl#L33-L41">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.HalfspaceCoolTemp" href="#GeoParams.HalfspaceCoolTemp"><code>GeoParams.HalfspaceCoolTemp</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">HalfspaceCoolTemp(Tsurface=0, Tmantle=1350, Age=60, Adiabat=0)</code></pre><p>Sets a halfspace temperature structure in plate</p><p>Parameters:</p><ul><li>Tsurface: surface temperature [C]</li><li>Tmantle:  mantle temperature [C]</li><li>Age:      Thermal Age of plate [Myrs]</li><li>Adiabat:  Mantle Adiabat [K/km]</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/StrengthEnvelope/StrengthEnvelope.jl#L57-L67">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.CompTempStruct" href="#GeoParams.CompTempStruct"><code>GeoParams.CompTempStruct</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CompTempStruct(Z, s::AbstractTempStruct)</code></pre><p>Returns a temperature vector that matches the coordinate vector and temperature structure that were passed in</p><p>Parameters:</p><ul><li>Z: vector with depth coordinates</li><li>s: Temperature structure (CostTemp, LinTemp, HalfspaceCoolTemp)</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/StrengthEnvelope/StrengthEnvelope.jl#L21-L29">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.LithPres" href="#GeoParams.LithPres"><code>GeoParams.LithPres</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">LithPres(MatParam, Phases, ρ, T, dz, g)</code></pre><p>Iteratively solves a 1D lithostatic pressure profile (compatible with temperature- and pressure-dependent densities)</p><p>Parameters:</p><ul><li>MatParam: a tuple of materials (including the following properties: Phase, Density)</li><li>Phases:   vector with the distribution of phases</li><li>ρ:        density vector for initial guess(can be zeros)</li><li>T:        temperature vector</li><li>dz:       grid spacing</li><li>g:        gravitational acceleration</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/StrengthEnvelope/StrengthEnvelope.jl#L89-L101">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.StrengthEnvelopeComp" href="#GeoParams.StrengthEnvelopeComp"><code>GeoParams.StrengthEnvelopeComp</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">StrengthEnvelopeComp(MatParam::NTuple{N, AbstractMaterialParamsStruct}, Thickness::Vector{U}, TempType::AbstractTempStruct=LinTemp(0C, 800C), ε=1e-15/s, nz::Int64=101) where {N, U}</code></pre><p>Calculates a 1D strength envelope. Pressure used for Drucker Prager plasticity is lithostatic. To visualize the results in a GUI, use StrengthEnvelopePlot.</p><p>Parameters:</p><ul><li>MatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)</li><li>Thickness: a vector listing the thicknesses of the respective layers (should carry units)</li><li>TempType:  the type of temperature profile (ConstTemp(), LinTemp(), HalfspaceCoolTemp())</li><li>ε:         background strainrate</li><li>nz:        optional argument controlling the number of points along the profile (default = 101)</li></ul><p><strong>Example:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GLMakie
+julia&gt; MatParam = (SetMaterialParams(Name=&quot;UC&quot;, Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(&quot;Wet Quartzite | Ueda et al. (2008)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;MC&quot;, Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(&quot;Plagioclase An75 | Ji and Zhao (1993)&quot;), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;LC&quot;, Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(&quot;Maryland strong diabase | Mackwell et al. (1998)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));
+julia&gt; Thickness = [15,10,15]*km;
+
+julia&gt; StrengthEnvelopeComp(MatParam, Thickness, LinTemp(), ε=1e-15/s)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/StrengthEnvelope/StrengthEnvelope.jl#L165-L187">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.StrengthEnvelopePlot" href="#GeoParams.StrengthEnvelopePlot"><code>GeoParams.StrengthEnvelopePlot</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">StrengthEnvelopePlot(MatParam, Thickness; TempType, nz)</code></pre><p>Requires GLMakie</p><p>Creates a GUI that plots a 1D strength envelope. In the GUI, temperature profile and strain rate can be adjusted. The Drucker-Prager plasticity uses lithostatic pressure.</p><p>Parameters:</p><ul><li>MatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)</li><li>Thickness: a vector listing the thicknesses of the respective layers (should carry units)</li><li>TempType:  the type of temperature profile (LinTemp=default, HalfspaceCoolTemp, ConstTemp)</li><li>nz:        optional argument controlling the number of points along the profile (default = 101)</li></ul><p><strong>Example:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GLMakie
+julia&gt; MatParam = (SetMaterialParams(Name=&quot;UC&quot;, Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(&quot;Wet Quartzite | Ueda et al. (2008)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;MC&quot;, Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(&quot;Plagioclase An75 | Ji and Zhao (1993)&quot;), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;LC&quot;, Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(&quot;Maryland strong diabase | Mackwell et al. (1998)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));
+julia&gt; Thickness = [15,10,15]*km;
+
+julia&gt; StrengthEnvelopePlot(MatParam, Thickness, LinTemp())</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/StrengthEnvelope/StrengthEnvelope.jl#L232-L255">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../seismicvelocity/">« Seismic Velocity</a><a class="docs-footer-nextpage" href="../plotting/">Plotting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Sunday 28 January 2024 08:37">Sunday 28 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Tables</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Tables</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/tables.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Tables"><a class="docs-heading-anchor" href="#Tables">Tables</a><a id="Tables-1"></a><a class="docs-heading-anchor-permalink" href="#Tables" title="Permalink"></a></h1><p>There are two different formats of output tables that can be produced:</p><ul><li>LaTeX (always comes with &quot;References.bib&quot; for citations)</li><li>Markdown</li></ul><h1 id="Producing-output-table"><a class="docs-heading-anchor" href="#Producing-output-table">Producing output table</a><a id="Producing-output-table-1"></a><a class="docs-heading-anchor-permalink" href="#Producing-output-table" title="Permalink"></a></h1><p><code>ParameterTable()</code> is used to produce an output table of all the material parameters in your phase(s) in LaTeX or Markdown format. All you need is a dimensional <code>phase</code> as defined in section 2. Material Parameters in the README.md of GeoParams. This <code>phase</code> should be given to <code>ParameterTable</code> as first argument. There are optional arguments which can be given in <code>ParameterTable</code>. Those are <code>format</code>, <code>filename</code> and <code>rdigits</code>. The <code>format</code> keyword determines whether your table should be in <code>LaTeX</code> or <code>Markdown</code> format (should be given as string). <code>filename</code> determines the name of the file but can also be used to save the file in a different directory other than the GeoParams package directory (should be given as string, note: no file endings needed since they will be determined by the <code>format</code> keyword!). <code>rdigits</code> gives the numbers of decimals to which all parameter values will be rounded (should be given as integer).</p><p>Example 1:</p><pre><code class="language-julia hljs">julia&gt; MatParam = SetMaterialParams(Name=&quot;Viscous Matrix&quot;, Phase=1,
+                                     Density   = ConstantDensity(),
+                                     CreepLaws = LinearViscous(η=1e23Pa*s))
+
+julia&gt; ParameterTable(MatParam, format=&quot;tex&quot;, filename=&quot;ParameterTable&quot;, rdigits=4)</code></pre><p><img src="../assets/img/LaTeX_table.PNG" alt="latex"/></p><p>Example 2:</p><pre><code class="language-julia hljs">julia&gt; ParameterTable(MatParam, format=&quot;md&quot;, filename=&quot;ParameterTable&quot;, rdigits=4)</code></pre><p><img src="../assets/img/markdown_table.PNG" alt="markdown"/></p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.ParameterTable" href="#GeoParams.Tables.ParameterTable"><code>GeoParams.Tables.ParameterTable</code></a> — <span class="docstring-category">Function</span></header><section><div><p>ParameterTable() creates a table with all parameters saved in the Phase struct. It lets you choose between &quot;latex&quot; and &quot;markdown&quot; as table formats with LaTeX as default. Creates a filename.tex or filename.md file as output. If &quot;latex&quot; is chosen a &quot;Reference.bib&quot; file will automatically be produced with all your references. Storage path by default is the GeoParams package folder. A specific storage path can be given as normal path with &quot;\filename&quot; in the end as a string. Use double backslash for subfolders. There is no file extension needed to be given.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Tables.jl#L1172-L1177">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.Phase2Dict" href="#GeoParams.Tables.Phase2Dict"><code>GeoParams.Tables.Phase2Dict</code></a> — <span class="docstring-category">Function</span></header><section><div><p>Phase2Dict() puts all parameters of a phase s in a dict.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Tables.jl#L32-L34">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.Phase2DictMd" href="#GeoParams.Tables.Phase2DictMd"><code>GeoParams.Tables.Phase2DictMd</code></a> — <span class="docstring-category">Function</span></header><section><div><p>Phase2DictMd() puts all parameters of a phase in a dict.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Tables.jl#L659-L662">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.Dict2LatexTable" href="#GeoParams.Tables.Dict2LatexTable"><code>GeoParams.Tables.Dict2LatexTable</code></a> — <span class="docstring-category">Function</span></header><section><div><p>Dict2LatexTable() writes a .tex file with all parameters from the Phase2Dict() output in a LaTeX table. rdigits will round numbers with more decimals than rdigits including numbers of 10 to power of n, n being an Integer, for representation purposes. For the exact numbers use the original implemented numbers from the creeplaws of the dict in src/CreepLaw/Data/DiffusionCreep.jl or src/CreepLaw/Data/DislocationCreep.jl.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Tables.jl#L387-L393">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.Dict2MarkdownTable" href="#GeoParams.Tables.Dict2MarkdownTable"><code>GeoParams.Tables.Dict2MarkdownTable</code></a> — <span class="docstring-category">Function</span></header><section><div><p>Dict2MarkdownTable() writes a .md file with all parameters from the Phase2DictMd() output in a Markdown table. rdigits will round numbers with more decimals than rdigits including numbers of 10 to power of n, n being an Integer, for representation purposes. For the exact numbers use the original implemented numbers from the creeplaws of the dict in src/CreepLaw/Data/DiffusionCreep.jl or src/CreepLaw/Data/DislocationCreep.jl.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Tables.jl#L987-L992">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.detachFloatfromExponent" href="#GeoParams.Tables.detachFloatfromExponent"><code>GeoParams.Tables.detachFloatfromExponent</code></a> — <span class="docstring-category">Function</span></header><section><div><p>detachFloatfromExponent() returns the number of float decimals after the comma as Integer, the float number without the exponent as string  and the exponent after the &quot;e&quot; as string. The argument output returns &quot;1&quot; for &quot;ex&quot; if the input number has no exponent.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Tables.jl#L11-L17">source</a></section></article></article><nav class="docs-footer"><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Sunday 28 January 2024 08:37">Sunday 28 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.5/man/viscosity/index.html b/v0.5.5/man/viscosity/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Viscosity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Viscosity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Viscosity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/viscosity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Effective-viscosity-computations"><a class="docs-heading-anchor" href="#Effective-viscosity-computations">Effective viscosity computations</a><a id="Effective-viscosity-computations-1"></a><a class="docs-heading-anchor-permalink" href="#Effective-viscosity-computations" title="Permalink"></a></h1><article class="docstring"><header><a class="docstring-binding" id="GeoParams.compute_viscosity_εII" href="#GeoParams.compute_viscosity_εII"><code>GeoParams.compute_viscosity_εII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_viscosity_εII(s::AbstractConstitutiveLaw, εII, kwargs...)</code></pre><p>Compute effective viscosity given a 2nd invariant of the deviatoric strain rate tensor, extra parameters are passed as a named tuple, e.g., (;T=T) </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Viscosity/Viscosity.jl#L13-L17">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.compute_viscosity_τII" href="#GeoParams.compute_viscosity_τII"><code>GeoParams.compute_viscosity_τII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_viscosity_τII(s::AbstractConstitutiveLaw, τII, kwargs...)</code></pre><p>Compute effective viscosity given a 2nd invariant of the deviatoric stress tensor and, extra parameters are passed as a named tuple, e.g., (;T=T) </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/Viscosity/Viscosity.jl#L26-L30">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../customrheology/">« Custom rheology</a><a class="docs-footer-nextpage" href="../elasticity/">Elasticity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Sunday 28 January 2024 08:37">Sunday 28 January 2024</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.5/man/zirconages/index.html b/v0.5.5/man/zirconages/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Zircon Ages · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li class="is-active"><a class="tocitem" href>Zircon Ages</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Zircon Ages</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Zircon Ages</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/zirconages.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Zircon-age-parameterizations"><a class="docs-heading-anchor" href="#Zircon-age-parameterizations">Zircon age parameterizations</a><a id="Zircon-age-parameterizations-1"></a><a class="docs-heading-anchor-permalink" href="#Zircon-age-parameterizations" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Zircons are one of the ways in which we can date the age &amp; activity of magmatic systems. Here, we provide a computational routine that computes the zircon age distribution from temperature-time paths</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.ZirconAgeData" href="#GeoParams.ZirconAges.ZirconAgeData"><code>GeoParams.ZirconAges.ZirconAgeData</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ZirconAgeData</code></pre><p>Struct that holds default parameters for the calculations</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/ZirconAge/ZirconAges.jl#L27-L31">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>There is one main routine with which you can compute zircon age probability density functions from a range of temperature-ime paths:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.compute_zircon_age_PDF" href="#GeoParams.ZirconAges.compute_zircon_age_PDF"><code>GeoParams.ZirconAges.compute_zircon_age_PDF</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">time_Ma, PDF_zircons, time_Ma_average, PDF_zircon_average, time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF = compute_zircon_age_PDF(time_years_vecs::Vector{Vector}, Tt_paths_Temp_vecs::Vector{Vector}; ZirconData::ZirconAgeData = ZirconAgeData(), bandwidth=bandwidth, n_analyses=300)</code></pre><p>This computes the PDF (probability density function) with zircon age data from Vectors with Tt-paths	</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/ZirconAge/ZirconAges.jl#L296-L301">source</a></section></article><p>This, in turn, calls two other routines:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.compute_zircons_Ttpath" href="#GeoParams.ZirconAges.compute_zircons_Ttpath"><code>GeoParams.ZirconAges.compute_zircons_Ttpath</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF =  compute_zircons_Ttpath(time_years::AbstractArray{Float64,1}, Tt_paths_Temp::AbstractArray{Float64,2}; ZirconData::ZirconAgeData)</code></pre><p>This computes the number of zircons produced from a series of temperature-time path&#39;s.  The Tt-paths are stored in a 2D matrix <code>Tt_paths_Temp</code> with rows being the temperature at time <code>time_years</code>.</p><p><strong>Input:</strong></p><ul><li><code>time_years</code> : vector of length <code>nt</code> with the time in years (since the beginning of the simulation) of the points provided</li><li><code>Tt_paths_Temp</code> : array of size <code>(nt,npaths)</code>` with the temperature of every path.</li></ul><p>Output:</p><ul><li><code>prob</code> : a vector that gives the relative probability that a zircon with a given age exists</li><li><code>ages_eruptible</code> : age of eruptble magma</li><li><code>number_zircons</code> : 1D array of size <code>(nt,)</code></li><li><code>T_av_time</code>: vector of size <code>nt</code> that contains the average T of the paths</li><li><code>T_sd_time</code>: vector of size <code>nt</code> that contains the standard deviation of the T of the paths</li><li><code>cumPDF</code>: vector of size <code>nt</code> that contains the cumulative probability density function that we have an age of less than a certain one in the samples</li></ul><p>This routine was developed based on an R-routine provided as electronic supplement in the paper:</p><ul><li>Weber, G., Caricchi, L., Arce, J.L., Schmitt, A.K., 2020. Determining the current size and state of subvolcanic magma reservoirs. Nat Commun 11, 5477. https://doi.org/10.1038/s41467-020-19084-2</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/ZirconAge/ZirconAges.jl#L98-L120">source</a></section><section><div><pre><code class="nohighlight hljs">time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF  = compute_zircons_Ttpath(time_years_vecs::Vector{Vector{Float64}}, Tt_paths_Temp::Vector{Vector{Float64}}; ZirconData::ZirconAgeData = ZirconAgeData())</code></pre><p>This accepts Vector{Vector} as input for time and temperature of each Tt-path. Here, the length of the vector can be variable between different points.</p><p>Internally, we interpolate this into a 2D matrix and a longer vector that includes all paths and a single vector with times </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/ZirconAge/ZirconAges.jl#L205-L212">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.zircon_age_PDF" href="#GeoParams.ZirconAges.zircon_age_PDF"><code>GeoParams.ZirconAges.zircon_age_PDF</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">zircon_age_PDF(ages_eruptible::AbstractArray{Float64,1}, number_zircons::AbstractArray{Float64,2}, bandwidth=1e5, n_analyses=300, ZirconData::ZirconAgeData)</code></pre><p>Compute probability density functions for zircon age path&#39;s describes in <code>number_zircons</code> with age <code>ages_eruptible</code> (both computed ). <code>bandwidth</code> is the smoothening window of the resulting curves (in years), whereas <code>n_analyses</code> are the number of analyses done. 	</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/ec47836cc25932df5880ac2bb716390545052a7f/src/ZirconAge/ZirconAges.jl#L256-L260">source</a></section></article><p>We also provide a plotting routine, provided the GLMakie.jl package is loaded, which produces figures such as: <img src="../assets/img/ZirconAge_PDF.png" alt="subet3"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../TASclassification/">« TAS classification</a><a class="docs-footer-nextpage" href="../phasediagrams/">Phase Diagrams »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Sunday 28 January 2024 08:37">Sunday 28 January 2024</span>. 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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Search · GeoParams.jl</title><script data-outdated-warner src="../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL=".."</script><script 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The interpolation object is directly encoded in the PhaseDiagram_LookupTable` object.  \n\n\n\n\n\n","category":"function"},{"location":"man/phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","page":"Phase Diagrams","title":"GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","text":"Contains data of a Phase Diagram that is regularly spaced in P & T\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#MaterialParameters","page":"Material Parameters","title":"MaterialParameters","text":"","category":"section"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"Material properties for a given phase can be set with SetMaterialParams, whereas all properties are  stored in the MaterialParams structure. Information about the material parameter is found at MaterialParamsInfo. This can be employed ","category":"page"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"MaterialParamsInfo\nSetMaterialParams\nMaterialParams","category":"page"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParamsInfo","text":"MaterialParamsInfo\n\nStructure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.\n\nUsually used in combination with param_info(the_parameter_of_interest)\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.SetMaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.SetMaterialParams","text":"SetMaterialParams(; Name::String=\"\", Phase::Int64=1,\n                    Density             =   nothing, \n                    Gravity             =   nothing,\n                    CreepLaws           =   nothing, \n                    Elasticity          =   nothing, \n                    Plasticity          =   nothing, \n                    CompositeRheology   =   nothing,\n                    Conductivity        =   nothing, \n                    HeatCapacity        =   nothing, \n                    RadioactiveHeat     =   nothing,\n                    LatentHeat          =   nothing,\n                    ShearHeat           =   nothing,\n                    Melting             =   nothing,\n                    SeismicVelocity     =   nothing,\n                    CharDim::GeoUnits   =   nothing)\n\nSets material parameters for a given phase. \n\nIf CharDim is specified the input parameters are non-dimensionalized.   Note that if Density is specified, we also set Gravity even if not explicitly listed\n\nExamples\n\nDefine two viscous creep laws & constant density:\n\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\",\n                       Density   = ConstantDensity(),\n                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))\nPhase 1 : Viscous Matrix\n        | [dimensional units]\n        | \n        |-- Density           : Constant density: ρ=2900 kg m⁻³ \n        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  \n        |                       Linear viscosity: η=1.0e21 Pa s\n\nDefine two viscous creep laws & P/T dependent density and nondimensionalize\n\njulia> CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\", Phase=33,\n                              Density   = PT_Density(),\n                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),\n                              CharDim   = CharUnits_GEO)\nPhase 33: Viscous Matrix\n        | [non-dimensional units]\n        | \n        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0 \n        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18 \n        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001  \n        |                       Linear viscosity: η=10000.0 \n\nYou can also create an array that holds several parameters:\n\njulia> MatParam        =   Array{MaterialParams, 1}(undef, 2);\njulia> Phase           =   1;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Upper Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                            Density  = ConstantDensity(ρ=2900kg/m^3));\njulia> Phase           =   2;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Lower Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),\n                            Density  = PT_Density(ρ0=3000kg/m^3));\njulia> MatParam\n2-element Vector{MaterialParams}:\n Phase 1 : Upper Crust\n    | [dimensional units]\n    | \n    |-- Density           : Constant density: ρ=2900 kg m⁻³ \n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  \n    |                       Linear viscosity: η=1.0e23 Pa s \n                            \n Phase 2 : Lower Crust\n    | [dimensional units]\n    | \n    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa \n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹  \n    |                       Linear viscosity: η=1.0e21 Pa s \n\n\n\n\n\n","category":"function"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParams","text":"MaterialParams\n\nStructure that holds all material parameters for a given phase\n\n\n\n\n\n","category":"type"},{"location":"man/contributing/#Contributing","page":"Contributing","title":"Contributing","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"You can contribute for example by adding new creep laws or by adding new constitutive relationships. If you invest a bit of time now, it will save others in the community a lot of time! The simplest way to do this is by cloning the repository, and creating a new branch for your feature. Once you are happy with what you added (and after you added a test to ensure that it will keep working with future changes), create a pull request and we will evaluate & merge it.","category":"page"},{"location":"man/contributing/#Style-Guide","page":"Contributing","title":"Style Guide","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Follow the style of the surrounding text when making changes. When adding new features please try to stick to the following points whenever applicable.","category":"page"},{"location":"man/contributing/#Julia","page":"Contributing","title":"Julia","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"4-space indentation;\nmodules spanning entire files should not be indented, but modules that have surrounding code should;\nno blank lines at the start or end of files;\ndo not manually align syntax such as = or :: over adjacent lines;\nuse function ... end when a method definition contains more than one toplevel expression;\nrelated short-form method definitions don't need a new line between them;\nunrelated or long-form method definitions must have a blank line separating each one;\nsurround all binary operators with whitespace except for ::, ^, and :;\nfiles containing a single module ... end must be named after the module;\nmethod arguments should be ordered based on the amount of usage within the method body;\nmethods extended from other modules must follow their inherited argument order, not the above rule;\nexplicit return should be preferred except in short-form method definitions;\navoid dense expressions where possible e.g. prefer nested ifs over complex nested ?s;\ninclude a trailing , in vectors, tuples, or method calls that span several lines;\ndo not use multiline comments (#= and =#);\nwrap long lines as near to 92 characters as possible, this includes docstrings;\nfollow the standard naming conventions used in Base.","category":"page"},{"location":"man/contributing/#Markdown","page":"Contributing","title":"Markdown","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Use unbalanced # headers, i.e. no # on the right hand side of the header text;\ninclude a single blank line between toplevel blocks;\nunordered lists must use * bullets with two preceding spaces;\ndo not hard wrap lines;\nuse emphasis (*) and bold (**) sparingly;\nalways use fenced code blocks instead of indented blocks;\nfollow the conventions outlined in the Julia documentation page on documentation.","category":"page"},{"location":"man/latentheat/#Latent-heat","page":"Latent heat","title":"Latent heat","text":"","category":"section"},{"location":"man/latentheat/#Methods","page":"Latent heat","title":"Methods","text":"","category":"section"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"Latent heat (of crystallisation) is defined as ","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","category":"page"},{"location":"man/latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","page":"Latent heat","title":"GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","text":"ConstantLatentHeat(Q_L=400kJ/kg)\n\nSet a constant latent heat:\n\n    Q_L  = cst\n\nwhere Q_L is the latent heat [kJkg].\n\n\n\n\n\n","category":"type"},{"location":"man/latentheat/#Computational-routines","page":"Latent heat","title":"Computational routines","text":"","category":"section"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"To compute, use this:","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"GeoParams.MaterialParameters.LatentHeat.compute_latent_heat","category":"page"},{"location":"man/zirconages/#Zircon-age-parameterizations","page":"Zircon Ages","title":"Zircon age parameterizations","text":"","category":"section"},{"location":"man/zirconages/#Methods","page":"Zircon Ages","title":"Methods","text":"","category":"section"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"Zircons are one of the ways in which we can date the age & activity of magmatic systems. Here, we provide a computational routine that computes the zircon age distribution from temperature-time paths","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.ZirconAgeData","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.ZirconAgeData","page":"Zircon Ages","title":"GeoParams.ZirconAges.ZirconAgeData","text":"ZirconAgeData\n\nStruct that holds default parameters for the calculations\n\n\n\n\n\n","category":"type"},{"location":"man/zirconages/#Computational-routines","page":"Zircon Ages","title":"Computational routines","text":"","category":"section"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"There is one main routine with which you can compute zircon age probability density functions from a range of temperature-ime paths:","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.compute_zircon_age_PDF","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.compute_zircon_age_PDF","page":"Zircon Ages","title":"GeoParams.ZirconAges.compute_zircon_age_PDF","text":"time_Ma, PDF_zircons, time_Ma_average, PDF_zircon_average, time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF = compute_zircon_age_PDF(time_years_vecs::Vector{Vector}, Tt_paths_Temp_vecs::Vector{Vector}; ZirconData::ZirconAgeData = ZirconAgeData(), bandwidth=bandwidth, n_analyses=300)\n\nThis computes the PDF (probability density function) with zircon age data from Vectors with Tt-paths\t\n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"This, in turn, calls two other routines:","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.compute_zircons_Ttpath\nGeoParams.zircon_age_PDF","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.compute_zircons_Ttpath","page":"Zircon Ages","title":"GeoParams.ZirconAges.compute_zircons_Ttpath","text":"prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF =  compute_zircons_Ttpath(time_years::AbstractArray{Float64,1}, Tt_paths_Temp::AbstractArray{Float64,2}; ZirconData::ZirconAgeData)\n\nThis computes the number of zircons produced from a series of temperature-time path's.  The Tt-paths are stored in a 2D matrix Tt_paths_Temp with rows being the temperature at time time_years.\n\nInput:\n\ntime_years : vector of length nt with the time in years (since the beginning of the simulation) of the points provided\nTt_paths_Temp : array of size (nt,npaths)` with the temperature of every path.\n\nOutput:\n\nprob : a vector that gives the relative probability that a zircon with a given age exists\nages_eruptible : age of eruptble magma\nnumber_zircons : 1D array of size (nt,)\nT_av_time: vector of size nt that contains the average T of the paths\nT_sd_time: vector of size nt that contains the standard deviation of the T of the paths\ncumPDF: vector of size nt that contains the cumulative probability density function that we have an age of less than a certain one in the samples\n\nThis routine was developed based on an R-routine provided as electronic supplement in the paper:\n\nWeber, G., Caricchi, L., Arce, J.L., Schmitt, A.K., 2020. Determining the current size and state of subvolcanic magma reservoirs. Nat Commun 11, 5477. https://doi.org/10.1038/s41467-020-19084-2\n\n\n\n\n\ntime_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF  = compute_zircons_Ttpath(time_years_vecs::Vector{Vector{Float64}}, Tt_paths_Temp::Vector{Vector{Float64}}; ZirconData::ZirconAgeData = ZirconAgeData())\n\nThis accepts Vector{Vector} as input for time and temperature of each Tt-path. Here, the length of the vector can be variable between different points.\n\nInternally, we interpolate this into a 2D matrix and a longer vector that includes all paths and a single vector with times \n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/#GeoParams.ZirconAges.zircon_age_PDF","page":"Zircon Ages","title":"GeoParams.ZirconAges.zircon_age_PDF","text":"zircon_age_PDF(ages_eruptible::AbstractArray{Float64,1}, number_zircons::AbstractArray{Float64,2}, bandwidth=1e5, n_analyses=300, ZirconData::ZirconAgeData)\n\nCompute probability density functions for zircon age path's describes in number_zircons with age ages_eruptible (both computed ). bandwidth is the smoothening window of the resulting curves (in years), whereas n_analyses are the number of analyses done. \t\n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"We also provide a plotting routine, provided the GLMakie.jl package is loaded, which produces figures such as: (Image: subet3)","category":"page"},{"location":"man/TASclassification/#TAS-rock-classification","page":"TAS classification","title":"TAS rock classification","text":"","category":"section"},{"location":"man/TASclassification/#Methods","page":"TAS classification","title":"Methods","text":"","category":"section"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"When doing coupled petrological-geodynamic modelling, the evolution of the composition of the magma is more easily understood when a rock type is given. This routine is an implementation of the TAS diagram (Total Alkali (TA) vs Silica (S)) from Le Maitre et al., 2002.","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.TASclassificationData","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.TASclassificationData","page":"TAS classification","title":"GeoParams.TASclassification.TASclassificationData","text":"TASclassificationData\n\nStruct that holds default parameters for the TAS diagram\n\n\n\n\n\n","category":"type"},{"location":"man/TASclassification/#Computational-routine","page":"TAS classification","title":"Computational routine","text":"","category":"section"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"There is one routine with which you can retrieve the index of the TAS rock-type. The routine receives as an input a compositional vector [SiO2,Na2O+K2O] in wt% and sends back an index [1-15].","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.computeTASclassification","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.computeTASclassification","page":"TAS classification","title":"GeoParams.TASclassification.computeTASclassification","text":"classIndex computeTASclassification(chemComp::AbstractArray{_T,N}, ClassTASdata::TASclassificationData)\n\nThis compute the classification of the igneous rock using TAS diagram (Total Alkali (TA) vs Silica (S)).\n\nInput:\n\nchemComp : vector rock composition in oxide wt%\n\nOutput:\n\nclassIndex : an integer [0-14] corresponding to a TAS field (TASclassificationData.litho[classIndex])\n\nThis routine was developed based the TAS classification of Le Maitre et al., 2002\n\n\n\n\n\n","category":"function"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"Using the index of the rock-type you can get the name of the corresponding volcanic rock using the following routine.","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.retrieveTASrockType","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.retrieveTASrockType","page":"TAS classification","title":"GeoParams.TASclassification.retrieveTASrockType","text":"retrieveTASrockType(index::Int64; ClassTASdata::TASclassificationData = TASclassificationData())\n\nThis retrieves the name of the volcanic rock-type using the computed index\n\nInput:\n\nindex : integer [1-15]\n\nOutput:\n\nlitho : a string of the name of corresponding volcanic rock\n\n\n\n\n\n","category":"function"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"We also provide a plotting routine, provided the GLMakie.jl package is loaded, which produces figures such as: (Image: subet3)","category":"page"},{"location":"man/radioactiveheating/#Radioactive-heat","page":"Radioactive heat","title":"Radioactive heat","text":"","category":"section"},{"location":"man/radioactiveheating/#Methods","page":"Radioactive heat","title":"Methods","text":"","category":"section"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"Radioactive heat sources are defined as ","category":"page"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat\nGeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat\n","category":"page"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","text":"ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)\n\nSet a constant radioactive heat:\n\n    H_r  = cst\n\nwhere H_r is the radioactive heat source [Wattm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat","text":"ExpDepthDependent(H_0=1e-6Watt/m^3, h_r=10e3m, z_0=0m)\n\nSets an exponential depth-dependent radioactive \n\n    H_r  = H_0 exp left( - (z - z_0) over h_r right)\n\nwhere H_0 is the radioactive heat source [Wattm^3] at z=z_0 which decays with depth over a characteristic distance h_r.\n\n\n\n\n\n","category":"type"},{"location":"man/radioactiveheating/#Computational-routines","page":"Radioactive heat","title":"Computational routines","text":"","category":"section"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"To compute, use this:","category":"page"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat\nGeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat!","category":"page"},{"location":"man/tables/#Tables","page":"Tables","title":"Tables","text":"","category":"section"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"There are two different formats of output tables that can be produced:","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"LaTeX (always comes with \"References.bib\" for citations)\nMarkdown","category":"page"},{"location":"man/tables/#Producing-output-table","page":"Tables","title":"Producing output table","text":"","category":"section"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"ParameterTable() is used to produce an output table of all the material parameters in your phase(s) in LaTeX or Markdown format. All you need is a dimensional phase as defined in section 2. Material Parameters in the README.md of GeoParams. This phase should be given to ParameterTable as first argument. There are optional arguments which can be given in ParameterTable. Those are format, filename and rdigits. The format keyword determines whether your table should be in LaTeX or Markdown format (should be given as string). filename determines the name of the file but can also be used to save the file in a different directory other than the GeoParams package directory (should be given as string, note: no file endings needed since they will be determined by the format keyword!). rdigits gives the numbers of decimals to which all parameter values will be rounded (should be given as integer).","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"Example 1:","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"julia> MatParam = SetMaterialParams(Name=\"Viscous Matrix\", Phase=1,\n                                     Density   = ConstantDensity(),\n                                     CreepLaws = LinearViscous(η=1e23Pa*s))\n\njulia> ParameterTable(MatParam, format=\"tex\", filename=\"ParameterTable\", rdigits=4)","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"(Image: latex)","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"Example 2:","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"julia> ParameterTable(MatParam, format=\"md\", filename=\"ParameterTable\", rdigits=4)","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"(Image: markdown)","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"GeoParams.ParameterTable\nGeoParams.Phase2Dict\nGeoParams.Phase2DictMd\nGeoParams.Dict2LatexTable\nGeoParams.Dict2MarkdownTable\nGeoParams.detachFloatfromExponent","category":"page"},{"location":"man/tables/#GeoParams.Tables.ParameterTable","page":"Tables","title":"GeoParams.Tables.ParameterTable","text":"ParameterTable() creates a table with all parameters saved in the Phase struct. It lets you choose between \"latex\" and \"markdown\" as table formats with LaTeX as default. Creates a filename.tex or filename.md file as output. If \"latex\" is chosen a \"Reference.bib\" file will automatically be produced with all your references. Storage path by default is the GeoParams package folder. A specific storage path can be given as normal path with \"\\filename\" in the end as a string. Use double backslash for subfolders. There is no file extension needed to be given.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.Phase2Dict","page":"Tables","title":"GeoParams.Tables.Phase2Dict","text":"Phase2Dict() puts all parameters of a phase s in a dict.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.Phase2DictMd","page":"Tables","title":"GeoParams.Tables.Phase2DictMd","text":"Phase2DictMd() puts all parameters of a phase in a dict.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.Dict2LatexTable","page":"Tables","title":"GeoParams.Tables.Dict2LatexTable","text":"Dict2LatexTable() writes a .tex file with all parameters from the Phase2Dict() output in a LaTeX table. rdigits will round numbers with more decimals than rdigits including numbers of 10 to power of n, n being an Integer, for representation purposes. For the exact numbers use the original implemented numbers from the creeplaws of the dict in src/CreepLaw/Data/DiffusionCreep.jl or src/CreepLaw/Data/DislocationCreep.jl.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.Dict2MarkdownTable","page":"Tables","title":"GeoParams.Tables.Dict2MarkdownTable","text":"Dict2MarkdownTable() writes a .md file with all parameters from the Phase2DictMd() output in a Markdown table. rdigits will round numbers with more decimals than rdigits including numbers of 10 to power of n, n being an Integer, for representation purposes. For the exact numbers use the original implemented numbers from the creeplaws of the dict in src/CreepLaw/Data/DiffusionCreep.jl or src/CreepLaw/Data/DislocationCreep.jl.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.detachFloatfromExponent","page":"Tables","title":"GeoParams.Tables.detachFloatfromExponent","text":"detachFloatfromExponent() returns the number of float decimals after the comma as Integer, the float number without the exponent as string  and the exponent after the \"e\" as string. The argument output returns \"1\" for \"ex\" if the input number has no exponent.\n\n\n\n\n\n","category":"function"},{"location":"man/listfunctions/#List-of-all-functions","page":"List of functions","title":"List of all functions","text":"","category":"section"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity","page":"Seismic Velocity","title":"Seismic velocity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"Seismic velocity can specified in a number of ways","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","text":"ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)\n\nSet a constant seismic P and S-wave velocity:\n\n    V_p = cst\n\n    V_s = cst\n\nwhere V_p V_s are the P-wave and S-wave velocities [kms].\n\n\n\n\n\n","category":"type"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.","category":"page"},{"location":"man/seismicvelocity/#Computational-routines","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To evaluate seismic velocity within a user routine, use this:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.compute_swave_velocity!\nGeoParams.compute_pwave_velocity!\nGeoParams.compute_pwave_velocity\nGeoParams.compute_swave_velocity","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity-correction-for-partial-melt","page":"Seismic Velocity","title":"Seismic velocity correction for partial melt","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-2","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"The routine uses the reduction formulation of Clark et al., (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-2","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute melt-content based correction for seismic waves velocities, you can use:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.melt_correction","category":"page"},{"location":"man/seismicvelocity/#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity","page":"Seismic Velocity","title":"Seismic S-wave velocity correction for (shallow depth) porosity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-3","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"This routine is based on the equilibrium geometry model for the solid skeleton of Takei et al. (1998) and the porosity-depth empirical relationship of Chen et al. (2020)","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-3","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute porosity based correction for seismic S-wave velocity, you can use:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.porosity_correction","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity-correction-for-anelasticity","page":"Seismic Velocity","title":"Seismic velocity correction for anelasticity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-4","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"The routine uses the reduction formulation of karato (1993), using the quality factor formulation from Behn et al. (2009)","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-4","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute a correction of S-wave velocity for anelasticity, use this:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.anelastic_correction","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction","text":"    Vs_anel = anelastic_correction(water::Int64, Vs0::Float64,P::Float64,T::Float64)\n\nThis routine computes a correction of S-wave velocity for anelasticity\n\nInput:\n\nwater: water flag, 0 = dry; 1 = dampened; 2 = water saturated \nVs0  : S-wave velocitiy of the solid phase (with or without melt correction)\nP    : pressure given in Pa\nT    : temperature given in °K\n\nOutput:\n\nVs_anel : corrected S-wave velocity for anelasticity\n\nThe routine uses the reduction formulation of Karato (1993), using the quality factor formulation from Behn et al. (2009)\n\nReferences:\n\nKarato, S. I. (1993). Importance of anelasticity in the interpretation of seismic tomography. Geophysical research letters, 20(15), 1623-1626.\nBehn, M. D., Hirth, G., & Elsenbeck II, J. R. (2009). Implications of grain size evolution on the seismic structure of the oceanic upper mantle. Earth and Planetary Science Letters, 282(1-4), 178-189.\n\n\n\n\n\n","category":"function"},{"location":"man/plasticity/#Plasticity","page":"Plasticity","title":"Plasticity","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"Plasticity is a non-linear rheology that is activated once stresses exceed a certain yield criteria.","category":"page"},{"location":"man/plasticity/#Implemented-laws","page":"Plasticity","title":"Implemented laws","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"The following plastic law are implemented:","category":"page"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"GeoParams.MaterialParameters.Plasticity.DruckerPrager\nGeoParams.MaterialParameters.Plasticity.DruckerPrager_regularised","category":"page"},{"location":"man/plasticity/#Computational-routines","page":"Plasticity","title":"Computational routines","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"Usually, plasticity should be defined as part of a CompositeRheology structure and calculations can be done as with all other rheology computations by using compute_τII.","category":"page"},{"location":"man/plotting/#Plotting","page":"Plotting","title":"Plotting","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"We provide a number of plotting routines. Note that these plotting routines only become available once the GLMakie package is loaded.","category":"page"},{"location":"man/plotting/#Plot-CreepLaws","page":"Plotting","title":"Plot CreepLaws","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"GeoParams.PlotStressStrainrate_CreepLaw\nGeoParams.PlotHeatCapacity\nGeoParams.PlotConductivity\nGeoParams.PlotMeltFraction\nGeoParams.PlotPhaseDiagram\nGeoParams.PlotDeformationMap","category":"page"},{"location":"man/plotting/#GeoParams.PlotHeatCapacity","page":"Plotting","title":"GeoParams.PlotHeatCapacity","text":"T,Cp,plt = PlotHeatCapacity(cp::AbstractHeatCapacity; T=nothing, plt=nothing, lbl=nothing)\n\nCreates a plot of temperature T vs. heat capacity, as specified in cp (which can be temperature-dependent).\n\nOptional parameters\n\nT: temperature range\nplt: a previously generated plotting object\nlbl: label of the curve\n\nExample\n\njulia> cp = T_HeatCapacity_Whittacker()\njulia> T,Cp,plt = PlotHeatCapacity(cp)\n\nyou can now save the figure to disk with:\n\njulia> using Plots\njulia> savefig(plt,\"Tdependent_heatcapacity.png\")\n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#GeoParams.PlotConductivity","page":"Plotting","title":"GeoParams.PlotConductivity","text":"T,Kk,plt = PlotConductivity(cp::AbstractConductivity; T=nothing, plt=nothing, lbl=nothing)\n\nCreates a plot of temperature T vs. thermal conductivity, as specified in k (which can be temperature-dependent).\n\nOptional parameters\n\nT: temperature range\nplt: a previously generated plotting object\nlbl: label of the curve\n\nExample\n\njulia> k = T_Conductivity_Whittacker()\njulia> T,KK,plt = PlotConductivity(k)\n\nyou can now save the figure to disk with:\n\njulia> using Plots\njulia> savefig(plt,\"Tdependent_conductivity.png\")\n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#GeoParams.PlotPhaseDiagram","page":"Plotting","title":"GeoParams.PlotPhaseDiagram","text":"plt, data, Tvec, Pvec = PlotPhaseDiagram(p::PhaseDiagram_LookupTable; fieldname::Symbol, Tvec=nothing, Pvec=nothing)\n\nPlots a phase diagram as a function of T (x-axis) and P (y-axis). We either use the default ranges of the diagram, or you can specify the temperature and pressure ranges (while specifying units). The return arguments are the plotting object plt (so you can modify properties) as well as the data that is being plotted\n\nExample\n\njulia> PD_data =  Read_LaMEM_Perple_X_Diagram(\"Peridotite.in\")\nPerple_X/LaMEM Phase Diagram Lookup Table:\n                      File    :   Peridotite.in\n                      T       :   293.0 - 1573.000039\n                      P       :   1.0e7 - 2.9999999944e9\n                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp\n                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs\n                                  :Vp, :Vs, :VpVs, :cpxFrac\njulia> PlotPhaseDiagram(PD_data,:meltFrac, Tvec=(100:1:1400).*C, Pvec=(.1:.1:30).*kbar )\n\nThis will generate the following plot (Image: subet2)\n\nYou can also use the default pressure/temperature ranges in the diagrams:\n\njulia> PlotPhaseDiagram(PD_data,:Rho)\n\n\n\n\n\n","category":"function"},{"location":"man/plotting/#GeoParams.PlotDeformationMap","page":"Plotting","title":"GeoParams.PlotDeformationMap","text":"fig = PlotDeformationMap(v;    args=(P=0.0, d=1e-3, f=1.0),\n                            σ = (1e-2, 1e8),                # in MPa\n                            T = (10, 1000),                 # in C\n                            ε = (1e-22, 1e-8),              # in 1/s\n                            n = 400,                        # number of points\n                            rotate_axes = false,            # flip x & y axes\n                            strainrate = true,              # strainrate (otherwise stress)\n                            viscosity = false,              # plot viscosity instead of strainrate/stress\n                            boundaries = true,              # plot deformation boundaries\n                            levels = 20,                    # number of contour levels\n                            colormap=:viridis,              # colormap\n                            filename=nothing,               # if you want to save this to file\n                            fontsize=40,                    # fontsize of labels\n                            res=(1200, 900))                # resolution in pixels\n\nCreates a deformation mechanism map (T/εII vs. stress/viscosity or T/τII vs. strainrate/viscosity) for given (composite) rheology v\n\nExample\n\njulia> v1 = SetDiffusionCreep(\"Dry Anorthite | Rybacki et al. (2006)\")\njulia> v2 = SetDislocationCreep(\"Dry Anorthite | Rybacki et al. (2006)\")\njulia> v=CompositeRheology(v1,v2)\njulia> PlotDeformationMap(v, levels=100, colormap=:roma)\n\nNext, let's plot viscosity and flip x & y axis:\n\njulia> PlotDeformationMap(v, viscosity=true, rotate_axes=true)\n\nInstead of plotting stress vs. T and computing strainrate, we can also provide strainrate/T and compute stress:\n\njulia> PlotDeformationMap(v, strainrate=false)\n\nOr plot viscosity but only add contours in a certain range:\n\njulia> PlotDeformationMap(v,  strainrate=false, viscosity=true, levels=Vector(18:.25:24))\n\n\n\n\n\n","category":"function"},{"location":"man/geounit/#GeoUnit","page":"GeoUnit","title":"GeoUnit","text":"","category":"section"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Most parameters have physical units (100km, 9.81 ms⁻²). Yet, within numerical solvers it is usually not a good idea to compute with the actual SI units as they (at least in geosciences) tend to result in very large/small numbers, which can cause in roundoff errors.  Therefore, we usually convert the dimensional units into non-dimensional ones befeore starting computations. The results can than be converted back to more convenient units for us when we generate the output (plots, for example).","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"This requires a way to store the dimensions of a parameter, but also, once they are made nondimensional, the original units (otherwise we can't convert them back to dimensional values).","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"For that reason, we use the GeoUnit structure, defined as ","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"struct GeoUnit{T,U}\n    val          :: T\n    unit         :: U\n    isdimensional:: Bool\nend","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"You can define a GeoUnit as:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> a = GeoUnit(100km)\nGeoUnit{dimensional, km}, \n100.0\njulia> b=GeoUnit(100s)\nGeoUnit{dimensional, s}, \n100.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Dividing the two gives the expected result","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> c=a/b\nGeoUnit{dimensional, km s⁻¹·⁰}, \n1.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Can also be a vector:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> T = GeoUnit(100K:10.0K:1000K)\nGeoUnit{dimensional, K}, \n100.0:10.0:1000.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"The numerical value is obtained with:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> NumValue(c)\n1.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"It's unit with","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> Unit(c)\nkm s⁻¹·⁰","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"and the value with unit with","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> Value(c)\n1.0 km s⁻¹·⁰","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"If you multiply or divide a GeoUnit with a normal number, we assume that you are no longer interested in the units and you'll get a Float64:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> c*100\n100.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"The value of the GeoUnit struct becomes clear once we non-dimensionalize it (as explained in more detail in a separate page). For that, first specify which characteristic values you want to use for non-dimensionalisation: ","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> CharDim = GEO_units(length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas);","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Let's define a stress:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> σ=GeoUnit(10MPa)\nGeoUnit{dimensional, MPa}, \n10.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"And transfer it to nondimensional units:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> σ_nd = nondimensionalize(σ,CharDim)\nGeoUnit{nondimensional, MPa}, \n0.9999999999999998","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Instead of 1e7 Pa, we now have 1.0; yet at the same time we know that the original unit of σ_nd was in MPa, which allows to transfer it back to dimensional units:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> dimensionalize(σ_nd,CharDim)\nGeoUnit{dimensional, MPa}, \n10.0","category":"page"},{"location":"man/creeplaws/#CreepLaws","page":"Creep laws","title":"CreepLaws","text":"","category":"section"},{"location":"man/creeplaws/#Implemented-creep-laws","page":"Creep laws","title":"Implemented creep laws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"The following viscous creep laws are implemented:","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"GeoParams.LinearViscous\nGeoParams.PowerlawViscous\nGeoParams.DislocationCreep\nGeoParams.SetDislocationCreep\nGeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep\nGeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous","text":"LinearViscous(η=1e20Pa*s)\n\nDefines a linear viscous creeplaw \n\nThe (isotopic) linear viscous rheology is given by  \n\n    tau_ij = 2 eta dotvarepsilon_ij \n\nor\n\n    dotvarepsilon_ij  = tau_ij  over 2 eta \n\nwhere eta_0 is the reference viscosity [Pa*s] at reference strain rate dotvarepsilon_0[1/s], and n the power law exponent []. \n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous","text":"PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)\n\nDefines a power law viscous creeplaw as: \n\n    tau_ij^n  = 2 eta_0 left( dotvarepsilon_ij over dotvarepsilon_0 right)\n\nwhere eta is the effective viscosity [Pa*s].\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep","text":"DislocationCreep(n = 1.0NoUnits, r = 0.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )\n\nDefines the flow law parameter of a dislocation creep law.\n\nThe (isotropic) dislocation creep law, as used by experimentalists, is given by  \n\n     dotgamma = A sigma_mathrmd^n f_mathrmH2O^r expleft(-fracE+PVRTright)\n\nwhere \n\nn is the power law exponent  \nr is the exponent of fugacity dependence \nA is a pre-exponential factor mathrmMPa^-ns^-1 (if manually defined, n and r must be either pre-defined or substituted) \nE is the activation energy mathrmkJmol \nV is the activation volume mathrmm^3mol \ndotgamma is the strain rate mathrm1s \nsigma_mathrmd is the differential stress mathrmMPa which are converted into second invariants using the Apparatus variable that can be\n\neither AxialCompression, SimpleShear or Invariant. If the flow law parameters are already given as a function of second invariants, choose Apparatus=Invariant.\n\nExample\n\njulia> x2 = DislocationCreep(n=3)\nDislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep","text":"DiffusionCreep(r = 0NoUnits, p = A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )\n\nDefines the flow law parameter of a dislocation creep law.\n\nThe (isotropic) diffusion creep law, as used by experimentalists, is given by  \n\n     dotgamma = A sigma_mathrmd d^mathrmp f_mathrmH2O^r expleft(-fracE+PVRTright)\n\nwhere \n\nr is the exponent of fugacity dependence \np is the exponent of grain size\nA is a pre-exponential factor mathrmMPa^-ns^-1 (if manually defined, n and r must be either pre-defined or substituted) \nE is the activation energy mathrmkJmol \nV is the activation volume mathrmm^3mol \ndotgamma is the strain rate mathrm1s \nsigma_mathrmd is the differential stress mathrmMPa\n\nThe experimental parameters are converted into second invariants using the Apparatus variable that can be either AxialCompression, SimpleShear or Invariant. If the flow law parameters are already given as a function of second invariants, choose Apparatus=Invariant.\n\nExample\n\njulia> x2 = DiffusionCreep(Name=\"test\")\nDiffusionCreep: Name = test, n=1.0, r=0.0, p=-3.0, A=1.5 m³·⁰ MPa⁻¹·⁰ s⁻¹·⁰, E=500.0 kJ mol⁻¹·⁰, V=2.4e-5 m³·⁰ mol⁻¹·⁰, FT=1.7320508075688772, FE=1.1547005383792517)\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","text":"SetDiffusionCreep[\"Name of Diffusion Creep\"]\n\nThis is a dictionary with pre-defined creep laws    \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#Computational-routines-for-creep-laws","page":"Creep laws","title":"Computational routines for creep laws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"Once a creep rheology is defined, we can use the following routines to perform computations within the solvers","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"CreepLawVariables\nGeoParams.compute_εII\nGeoParams.compute_εII!\nGeoParams.compute_τII\nGeoParams.compute_τII!\nGeoParams.CorrectionFactor\nGeoParams.RemoveTensorCorrection","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII","text":"compute_εII(a::DiffusionCreep, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)\n\nReturns diffusion creep strainrate as a function of 2nd invariant of the stress tensor tau_II \n\n    dotε_II = A τ_II^n d^p f_H_2O^r exp left(- E + PV over RT right)\n\n\n\n\n\ncompute_εII(a::GrainBoundarySliding, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)\n\nReturns grain boundary sliding strainrate as a function of 2nd invariant of the stress tensor tau_II \n\n    dotε_II = A τ_II^n d^p exp left(- E + PV over RT right)  ÄNDERN\n\n\n\n\n\ncompute_εII(s::ConstantElasticity{_T}, τII; τII_old, dt)\n\nComputes elastic strainrate given the deviatoric stress at the current (τII) and old timestep (τII_old), for a timestep dt:\n\n    dotvarepsilon^el = 1 over 2 G D tau_II over Dt   1 over 2 G tau_II- tildetau_II^old over dt \n\nNote that we here solve the scalar equation, which is sufficient for isotropic cases. In tensor form, it would be\n\n    dotvarepsilon^el_ij = 1 over 2 G  tau_ij - tildetau_ij^old over dt \n\nhere tildetau_ij^old is the rotated old deviatoric stress tensor to ensure objectivity (this can be done with Jaumann derivative, or also by using the full rotational formula).\n\n\n\n\n\ncompute_εII(p::DruckerPrager{_T,U,U1}, λdot::_T, τII::_T,  P)\n\nThis computes plastic strain rate invariant for a given λdot\n\n\n\n\n\ncompute_εII(p::DruckerPrager_regularised{_T,U,U1}, λdot::_T, τII::_T,  P)\n\nThis computes plastic strain rate invariant for a given λdot\n\n\n\n\n\ncompute_εII(v::Parallel{T,N}, τII, args; tol=1e-6, verbose=false, n=1)\n\nComputing εII as a function of τII for a Parallel elements is (usually) a nonlinear problem\n\n\n\n\n\ncompute_εII(v::CompositeRheology{T,N}, τII, args; tol=1e-6, verbose=false, n=1)\n\nComputing εII as a function of τII for a composite element is the sum of the individual contributions\n\n\n\n\n\ncompute_εII(v::AbstractPlasticity, τII::_T, args; tol=1e-6, verbose=true)\n\nPerforms local iterations to compute the plastic strainrate. Note that the non-plastic strainrate, ε_np, should be part of args\n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!","text":"compute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)\n\nComputes strainrate as a function of stress\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)\n\nComputes strainrate as a function of stress\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, s::LinearViscous, TauII::AbstractArray{_T,N})\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, s::ArrheniusType, TauII::AbstractArray{_T,N})\n\n\n\n\n\ncompute_εII!(ε_el::AbstractArray{_T,N}, s::ConstantElasticity{_T}; τII::AbstractArray{_T,N}, τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)\n\nIn-place computation of the elastic shear strainrate for given deviatoric stress invariants at the previous (τII_old) and new (τII) timestep, as well as the timestep dt  \n\n    dotvarepsilon^el = 1 over 2 G D tau_II over Dt   1 over 2 G tau_II- tau_II^old over dt \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII","text":"compute_τII(a::DislocationCreep, EpsII; P, T, f, args...)\n\nComputes the stress for a Dislocation creep law given a certain strain rate\n\n\n\n\n\ncomputeCreepLaw_TauII(EpsII::_T, a::DiffusionCreep; T::_T, P=zero(_T), f=one(_T), d=one(_T), kwargs...)\n\nReturns diffusion creep stress as a function of 2nd invariant of the strain rate \n\n\n\n\n\ncomputeCreepLaw_TauII(EpsII::_T, a::GrainBoundarySliding; T::_T, P=zero(_T), d=one(_T), kwargs...)\n\nReturns grain boundary sliding stress as a function of 2nd invariant of the strain rate \n\n\n\n\n\ncompute_τII(a::PeierlsCreep, EpsII; P, T, f, args...)\n\nComputes the stress for a peierls creep law given a certain strain rate.\n\n\n\n\n\ncompute_τII(s::LinearViscous, EpsII; kwargs...)\n\nReturns second invariant of the stress tensor given a 2nd invariant of strain rate tensor \n\n\n\n\n\ncompute_τII(s::ArrheniusType, EpsII; kwargs...)\n\nReturns second invariant of the stress tensor given a 2nd invariant of strain rate tensor \n\n\n\n\n\nτII = compute_τII(v::CompositeRheology{T,N}, εII, args; tol=1e-6, verbose=false)\n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!","text":"compute_τII!(TauII::AbstractArray{_T,N}, a::DislocationCreep, EpsII::AbstractArray{_T,N}; \n    P =       zero(TauII)::AbstractArray{_T,N}, \n    T = ones(size(TauII))::AbstractArray{_T,N}, \n    f = ones(size(TauII))::AbstractArray{_T,N})\n\nComputes the deviatoric stress invariant for a dislocation creep law\n\n\n\n\n\ncompute_τII!(TauII::AbstractArray{_T,N}, a::PeierlsCreep, EpsII::AbstractArray{_T,N}; \n    T = ones(size(TauII))::AbstractArray{_T,N}, args...)\n\nComputes the deviatoric stress invariant for a peierls creep law.\n\n\n\n\n\ncompute_τII!(τII::AbstractArray{_T,N}, s::ConstantElasticity{_T}. ε_el::AbstractArray{_T,N}; τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)\n\nIn-place update of the elastic stress for given deviatoric strainrate invariants and stres invariant at the old (τII_old) timestep, as well as the timestep dt  \n\n    tau_II = 2 G dt dotvarepsilon^el + tau_II^old\n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#Heat-capacity","page":"Heat Capacity","title":"Heat capacity","text":"","category":"section"},{"location":"man/heatcapacity/#Methods","page":"Heat Capacity","title":"Methods","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"Heat capacity is defined as ","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity\nGeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","text":"ConstantHeatCapacity(cp=1050J/mol/kg)\n\nSet a constant heat capacity:\n\n    cp  = cst\n\nwhere cp is the thermal heat capacity [JkgK].\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","text":"T_HeatCapacity_Whittington()\n\nSets a temperature-dependent heat capacity following the parameterization of Whittington et al. (2009), Nature:\n\n    Cp = (a + b T - cT^2)m \n\nwhere Cp is the heat capacity [JkgK], and abc are parameters that dependent on the temperature T:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nmolmass =   0.22178kg/mol \n\nNote that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than JmolK as in eq.3/4 of the paper)\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#Computational-routines","page":"Heat Capacity","title":"Computational routines","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"To compute, use this:","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity\nGeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","text":"Cp = compute_heatcapacity(s:<AbstractHeatCapacity, P, T)\n\nReturns the heat capacity Cp at any temperature T and pressure P using any of the heat capacity laws implemented.\n\nCurrently available:\n\nConstantHeatCapacity\nT_HeatCapacity_Whittington\n\nExample\n\nUsing dimensional units\n\njulia> T  = (250:100:1250)*K;\njulia> cp = T_HeatCapacity_Whittington()\njulia> Cp = ComputeHeatCapacity(0,T,cp)\n11-element Vector{Unitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:\n  635.4269997294616 J kg⁻¹ K⁻¹\n  850.7470171764261 J kg⁻¹ K⁻¹\n  962.0959598489883 J kg⁻¹ K⁻¹\n 1037.5420433770641 J kg⁻¹ K⁻¹\n 1097.3517921966488 J kg⁻¹ K⁻¹\n 1149.2745563671706 J kg⁻¹ K⁻¹\n 1157.7915050948404 J kg⁻¹ K⁻¹\n 1172.3554874197264 J kg⁻¹ K⁻¹\n 1186.9194697445964 J kg⁻¹ K⁻¹\n  1201.483452069455 J kg⁻¹ K⁻¹\n 1216.0474343943067 J kg⁻¹ K⁻¹\n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","text":"compute_heatcapacity!(Cp::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat})\n\nIn-place computation of heat capacity Cp for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#Melting-Parameterizations","page":"Partial Melting","title":"Melting Parameterizations","text":"","category":"section"},{"location":"man/melting/#Methods","page":"Partial Melting","title":"Methods","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"A number of melting parameterisations are implemented, which can be set with:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.MeltingParam_Caricchi\nGeoParams.MeltingParam.MeltingParam_5thOrder\nGeoParams.MeltingParam.MeltingParam_4thOrder\nGeoParams.MeltingParam.MeltingParam_Quadratic\nGeoParams.MeltingParam.MeltingParam_Assimilation\nGeoParams.MeltingParam.SmoothMelting","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Caricchi","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Caricchi","text":"MeltingParam_Caricchi()\n\nImplements the T-dependent melting parameterisation used by Caricchi, Simpson et al. (as for example described in Simpson)\n\n    theta = (a - (T + c)) over b\n\n    phi_melt = 10 over (10 + e^theta)\n\nNote that T is in Kelvin. As default parameters we employ:\n\nb=23K  a=800K  c=27315K\n\nWhich gives a reasonable fit to experimental data of granodioritic composition (Piwinskii and Wyllie, 1968):\n\n(Image: MeltParam_Carrichi)\n\nReferences\n\nSimpson G. (2017) Practical finite element modelling in Earth Sciences Using MATLAB.\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_5thOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_5thOrder","text":"MeltingParam_5thOrder(a,b,c,d,e,f,T_s,T_l)\n\nUses a 5th order polynomial to describe the melt fraction phi between solidus temperature T_s and liquidus temperature T_l\n\n    phi = a T^5 + b T^4 + c T^3 + d T^2 + e T + f  textrm   for    T_s  T  T_l\n\n    phi = 1  textrm   if    TT_l\n\n    phi = 0  textrm   if    TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_5thOrder)\n\nThe default values are for a composite liquid-line-of-descent:\n\nthe upper part is for Andesite from: (Blatter, D. L. & Carmichael, I. S. (2001) Hydrous phase equilibria of a Mexican highsilica andesite: a candidate for a mantle origin? Geochim. Cosmochim. Acta 65, 4043–4065\nthe lower part is extrapolated to the granitic minimum using the Marxer & Ulmer LLD for Andesite (Marxer, F. & Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. Contributions Mineral. Petrol. 174, 84)\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_4thOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_4thOrder","text":"MeltingParam_4thOrder(b,c,d,e,f,T_s,T_l)\n\nUses a 4th order polynomial to describe the melt fraction phi between solidus temperature T_s and liquidus temperature T_l\n\n    phi = b T^4 + c T^3 + d T^2 + e T + f  textrm   for    T_s  T  T_l\n\n    phi = 1 textrm   if    TT_l\n\n    phi = 0  textrm   if    TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_4thOrder)\n\nThe default values are for Tonalite experiments from Marxer and Ulmer (2019):\n\nMarxer, F. & Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. Contributions Mineral. Petrol. 174, 84\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Quadratic","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Quadratic","text":"MeltingParam_Quadratic(T_s,T_l)\n\nQuadratic melt fraction parameterisation where melt fraction phi depends only on solidus (T_s) and liquidus (T_l) temperature:\n\n    phi = 10 - left( T_l - T over T_l - T_s right)^2\n\n    phi = 10 textrm if  TT_l\n\n    phi = 00 textrm if  TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_Quadratic)\n\nThis was used, among others, in Tierney et al. (2016) Geology\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Assimilation","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Assimilation","text":"MeltingParam_Assimilation(T_s,T_l,a)\n\nMelt fraction parameterisation that takes the assimilation of crustal host rocks into account, as used by Tierney et al. (2016) based upon a parameterisation of Spera and Bohrson (2001)\n\nHere, the fraction of molten and assimilated host rocks phi depends on the solidus (T_s) and liquidus (T_l) temperatures of the rocks, as well as on a parameter a=0005\n\n    X = left( T - T_s over T_l - T_s right)\n\n    phi = a cdot left( exp^2ln(100)X - 10 right) textrm if  X  05\n\n    phi = 1- a cdot exp^2ln(100)(1-X)  textrm if  X  05\n\n    phi = 10 textrm if  TT_l\n\n    phi = 00 textrm if  TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_Assimilation)\n\nThis was used, among others, in Tierney et al. (2016), who employed as default parameters:\n\n   T_s=97315 T_l=117315 a=0005\n\nReferences\n\nSpera, F.J., and Bohrson, W.A., 2001, Energy-Constrained Open-System Magmatic Processes I: General Model and Energy-Constrained Assimilation and Fractional Crystallization (EC- AFC) Formulation: Journal of Petrology, v. 42, p. 999–1018.\nTierney, C.R., Schmitt, A.K., Lovera, O.M., de Silva, S.L., 2016. Voluminous plutonism during volcanic quiescence revealed by thermochemical modeling of zircon. Geology 44, 683–686. https://doi.org/10.1130/G37968.1\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.SmoothMelting","page":"Partial Melting","title":"GeoParams.MeltingParam.SmoothMelting","text":"SmoothMelting(; p=MeltingParam_4thOrder(), k_sol=0.2/K,  k_liq=0.2/K)\n\nThis smoothens the melting parameterisation p around the solidus T_sol and liquidus T_liq using a smoothened Heaviside step functions for the solidus:\n\n    H_sol =  10 over  1 + exp( -2 k_sol (T - T_sol - 2 over k_sol) )  \n\nand liquidus:\n\n    H_liq =  10 - 10 over  1 + exp( -2 k_liq (T - T_liq + 2 over k_liq) )  \n\nThe resulting melt fraction phi is computed from the original melt fraction phi_0 (computed using one of the methods above) as:\n\n    phi =  phi_0 H_sol H_liq + 10 - H_liq\n\nThe width of the smoothening zones is controlled by k_sol k_liq (larger values = sharper boundary).\n\nThis is important, as jumps in the derivative dϕdT can cause numerical instabilities in latent heat computations, which is prevented with this smoothening.\n\nExample\n\nLet's consider a 4th order parameterisation:\n\njulia> using GLMakie, GeoParams\njulia> p = MeltingParam_4thOrder();\njulia> T= collect(650.0:1:1050.) .+ 273.15;\njulia> T,phi,dϕdT =  PlotMeltFraction(p,T=T);\n\nThe same but with smoothening:\n\njulia> p_s = SmoothMelting(p=MeltingParam_4thOrder(), k_liq=0.21/K);\n4th order polynomial melting curve: phi = -7.594512597174117e-10T^4 + 3.469192091489447e-6T^3 + -0.00592352980926T^2 + 4.482855645604745T + -1268.730161921053  963.15 K ≤ T ≤ 1270.15 K with smooth Heaviside function smoothening using k_sol=0.1 K⁻¹·⁰, k_liq=0.11 K⁻¹·⁰\njulia> T_s,phi_s,dϕdT_s =  PlotMeltFraction(p_s,T=T);\n\nWe can create plots of this with:\n\njulia> plt1 = plot(T.-273.15, phi, ylabel=\"Melt Fraction ϕ\", color=:red, label=\"original\", xlabel=\"Temperature [C]\")\njulia> plt1 = plot(plt1, T.-273.15, phi_s,  color=:black, label=\"smoothened\", legend=:bottomright)\njulia> plt2 = plot(T.-273.15, dϕdT, ylabel=\"dϕ/dT\", color=:red, label=\"original\", xlabel=\"Temperature [C]\")\njulia> plt2 = plot(plt2, T.-273.15, dϕdT_s,  color=:black, label=\"smoothened\", legend=:topright)\njulia> plot!(plt1,plt2,   xlabel=\"Temperature [C]\", layout=(2,1))\n\nThe derivative no longer has a jump now:\n\n(Image: MeltingParam_Smooth)\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#Computational-routines","page":"Partial Melting","title":"Computational routines","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"To compute the melt fraction at given T and P, use:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.compute_meltfraction!\nGeoParams.MeltingParam.compute_meltfraction","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction!","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction!","text":"compute_meltfraction!(ϕ::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T:AbstractArray{<:AbstractFloat}, p::PhaseDiagram_LookupTable)\n\nIn-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified.\n\n\n\n\n\ncompute_meltfraction(ϕ::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction","text":"compute_meltfraction(P,T, p::AbstractPhaseDiagramsStruct)\n\nComputes melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified.\n\n\n\n\n\nϕ = compute_meltfraction(Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"You can also obtain the derivative of melt fraction versus temperature with (useful to compute latent heat effects):","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.compute_dϕdT!\nGeoParams.MeltingParam.compute_dϕdT","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.compute_dϕdT!","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_dϕdT!","text":"compute_dϕdT!(ϕ::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputates the derivative of melt fraction ϕ versus temperature T, partial phi over partial T for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays. This is employed, for example, in computing latent heat terms in an implicit manner.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#GeoParams.MeltingParam.compute_dϕdT","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_dϕdT","text":"compute_dϕdT(P,T, p::AbstractPhaseDiagramsStruct)\n\nComputes derivative of melt fraction vs T in case we use a phase diagram lookup table. The table should have the column :meltFrac specified. The derivative is computed by finite differencing.\n\n\n\n\n\nϕ = compute_dϕdT(Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputates the derivative of melt fraction ϕ versus temperature T for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays. This is employed in computing latent heat terms in an implicit manner, for example\n\n\n\n\n\n","category":"function"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"Also note that phase diagrams can be imported using PerpleX_LaMEM_Diagram, which may also have melt content information. The computational routines work with that as well.","category":"page"},{"location":"man/melting/#Plotting-routines","page":"Partial Melting","title":"Plotting routines","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"You can use the routine PlotMeltFraction to create a plot, provided that the GLMakie package has been loaded","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.PlotMeltFraction","category":"page"},{"location":"man/melting/#GeoParams.PlotMeltFraction","page":"Partial Melting","title":"GeoParams.PlotMeltFraction","text":"T,phi,plt = PlotMeltFraction(p::AbstractMeltingParam; T=nothing, plt=nothing, lbl=nothing)\n\nCreates a plot of temperature T vs. melt fraction, as specified in p. The 1D curve can be evaluated at a specific pressure P which can be given as a scalar or as an array of the same size as T\n\nOptional parameters\n\nT: temperature range\nP: pressure\nplt: a previously generated plotting object\nlbl: label of the curve\n\nExample\n\njulia> p          =  MeltingParam_Caricchi()\njulia> T,phi,dϕdT =  PlotMeltFraction(p)\n\nyou can now save the figure to disk with:\n\njulia> using Plots\njulia> savefig(plt,\"MeltFraction.png\")\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#D-Strength-envelope","page":"1D Strength Envelope","title":"1D Strength envelope","text":"","category":"section"},{"location":"man/strengthenvelope/","page":"1D Strength Envelope","title":"1D Strength Envelope","text":"We provide a routine for computing a 1D strength envelope and the tools for setting up a temperature structure and lithostatic pressure profile.","category":"page"},{"location":"man/strengthenvelope/","page":"1D Strength Envelope","title":"1D Strength Envelope","text":"GeoParams.ConstTemp\nGeoParams.LinTemp\nGeoParams.HalfspaceCoolTemp\nGeoParams.CompTempStruct\nGeoParams.LithPres\nGeoParams.StrengthEnvelopeComp\nGeoParams.StrengthEnvelopePlot\n![XMasTree](../assets/XMasTree.png)","category":"page"},{"location":"man/strengthenvelope/#GeoParams.ConstTemp","page":"1D Strength Envelope","title":"GeoParams.ConstTemp","text":"ConstTemp(T=1000)\n\nSets a constant temperature inside the box\n\nParameters:\n\nT : the value\n\n\n\n\n\n","category":"type"},{"location":"man/strengthenvelope/#GeoParams.LinTemp","page":"1D Strength Envelope","title":"GeoParams.LinTemp","text":"LinTemp(Ttop=0, Tbot=1000)\n\nSets a linear temperature structure from top to bottom\n\nParameters:\n\nTtop: the value @ the top\nTbot: the value @ the bottom\n\n\n\n\n\n","category":"type"},{"location":"man/strengthenvelope/#GeoParams.HalfspaceCoolTemp","page":"1D Strength Envelope","title":"GeoParams.HalfspaceCoolTemp","text":"HalfspaceCoolTemp(Tsurface=0, Tmantle=1350, Age=60, Adiabat=0)\n\nSets a halfspace temperature structure in plate\n\nParameters:\n\nTsurface: surface temperature [C]\nTmantle:  mantle temperature [C]\nAge:      Thermal Age of plate [Myrs]\nAdiabat:  Mantle Adiabat [K/km]\n\n\n\n\n\n","category":"type"},{"location":"man/strengthenvelope/#GeoParams.CompTempStruct","page":"1D Strength Envelope","title":"GeoParams.CompTempStruct","text":"CompTempStruct(Z, s::AbstractTempStruct)\n\nReturns a temperature vector that matches the coordinate vector and temperature structure that were passed in\n\nParameters:\n\nZ: vector with depth coordinates\ns: Temperature structure (CostTemp, LinTemp, HalfspaceCoolTemp)\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#GeoParams.LithPres","page":"1D Strength Envelope","title":"GeoParams.LithPres","text":"LithPres(MatParam, Phases, ρ, T, dz, g)\n\nIteratively solves a 1D lithostatic pressure profile (compatible with temperature- and pressure-dependent densities)\n\nParameters:\n\nMatParam: a tuple of materials (including the following properties: Phase, Density)\nPhases:   vector with the distribution of phases\nρ:        density vector for initial guess(can be zeros)\nT:        temperature vector\ndz:       grid spacing\ng:        gravitational acceleration\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#GeoParams.StrengthEnvelopeComp","page":"1D Strength Envelope","title":"GeoParams.StrengthEnvelopeComp","text":"StrengthEnvelopeComp(MatParam::NTuple{N, AbstractMaterialParamsStruct}, Thickness::Vector{U}, TempType::AbstractTempStruct=LinTemp(0C, 800C), ε=1e-15/s, nz::Int64=101) where {N, U}\n\nCalculates a 1D strength envelope. Pressure used for Drucker Prager plasticity is lithostatic. To visualize the results in a GUI, use StrengthEnvelopePlot.\n\nParameters:\n\nMatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)\nThickness: a vector listing the thicknesses of the respective layers (should carry units)\nTempType:  the type of temperature profile (ConstTemp(), LinTemp(), HalfspaceCoolTemp())\nε:         background strainrate\nnz:        optional argument controlling the number of points along the profile (default = 101)\n\nExample:\n\njulia> using GLMakie\njulia> MatParam = (SetMaterialParams(Name=\"UC\", Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(\"Wet Quartzite | Ueda et al. (2008)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),\n                   SetMaterialParams(Name=\"MC\", Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(\"Plagioclase An75 | Ji and Zhao (1993)\"), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),\n                   SetMaterialParams(Name=\"LC\", Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(\"Maryland strong diabase | Mackwell et al. (1998)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));\njulia> Thickness = [15,10,15]*km;\n\njulia> StrengthEnvelopeComp(MatParam, Thickness, LinTemp(), ε=1e-15/s)\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#GeoParams.StrengthEnvelopePlot","page":"1D Strength Envelope","title":"GeoParams.StrengthEnvelopePlot","text":"StrengthEnvelopePlot(MatParam, Thickness; TempType, nz)\n\nRequires GLMakie\n\nCreates a GUI that plots a 1D strength envelope. In the GUI, temperature profile and strain rate can be adjusted. The Drucker-Prager plasticity uses lithostatic pressure.\n\nParameters:\n\nMatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)\nThickness: a vector listing the thicknesses of the respective layers (should carry units)\nTempType:  the type of temperature profile (LinTemp=default, HalfspaceCoolTemp, ConstTemp)\nnz:        optional argument controlling the number of points along the profile (default = 101)\n\nExample:\n\njulia> using GLMakie\njulia> MatParam = (SetMaterialParams(Name=\"UC\", Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(\"Wet Quartzite | Ueda et al. (2008)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),\n                   SetMaterialParams(Name=\"MC\", Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(\"Plagioclase An75 | Ji and Zhao (1993)\"), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),\n                   SetMaterialParams(Name=\"LC\", Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(\"Maryland strong diabase | Mackwell et al. (1998)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));\njulia> Thickness = [15,10,15]*km;\n\njulia> StrengthEnvelopePlot(MatParam, Thickness, LinTemp())\n\n\n\n\n\n","category":"function"},{"location":"man/elasticity/#Elasticity","page":"Elasticity","title":"Elasticity","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"Elasticity is, in geodynamics, often used in combination with viscous and plastic rheology.","category":"page"},{"location":"man/elasticity/#Implemented-laws","page":"Elasticity","title":"Implemented laws","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"We provide the following elastic constitutive relationships:","category":"page"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"GeoParams.ConstantElasticity\nGeoParams.SetConstantElasticity","category":"page"},{"location":"man/elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity","page":"Elasticity","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity","text":"ConstantElasticity(G, ν, K, E)\n\nStructure that holds parameters for constant, isotropic, linear elasticity.\n\n\n\n\n\n","category":"type"},{"location":"man/elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity","page":"Elasticity","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity","text":"SetConstantElasticity(; G=nothing, ν=nothing, E=nothing, Kb=nothing)\n\nThis allows setting elastic parameters by specifying 2 out of the 4 elastic parameters G (Elastic shear modulus), ν (Poisson's ratio), E (Young's modulus), or Kb (bulk modulus).\n\n\n\n\n\n","category":"function"},{"location":"man/elasticity/#Computational-routines","page":"Elasticity","title":"Computational routines","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"We can compute the elastic strainrate with:","category":"page"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"GeoParams.compute_εII\nGeoParams.compute_εII!","category":"page"},{"location":"man/viscosity/#Effective-viscosity-computations","page":"Viscosity","title":"Effective viscosity computations","text":"","category":"section"},{"location":"man/viscosity/","page":"Viscosity","title":"Viscosity","text":"GeoParams.compute_viscosity_εII\nGeoParams.compute_viscosity_τII","category":"page"},{"location":"man/viscosity/#GeoParams.compute_viscosity_εII","page":"Viscosity","title":"GeoParams.compute_viscosity_εII","text":"compute_viscosity_εII(s::AbstractConstitutiveLaw, εII, kwargs...)\n\nCompute effective viscosity given a 2nd invariant of the deviatoric strain rate tensor, extra parameters are passed as a named tuple, e.g., (;T=T) \n\n\n\n\n\n","category":"function"},{"location":"man/viscosity/#GeoParams.compute_viscosity_τII","page":"Viscosity","title":"GeoParams.compute_viscosity_τII","text":"compute_viscosity_τII(s::AbstractConstitutiveLaw, τII, kwargs...)\n\nCompute effective viscosity given a 2nd invariant of the deviatoric stress tensor and, extra parameters are passed as a named tuple, e.g., (;T=T) \n\n\n\n\n\n","category":"function"},{"location":"man/shearheating/#Shear-heating","page":"Shear heating","title":"Shear heating","text":"","category":"section"},{"location":"man/shearheating/#Methods","page":"Shear heating","title":"Methods","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"Heat caused by non-recoverable deformation can be specified in ","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","text":"ConstantShearheating(Χ=0.0NoUnits)\n\nSet the shear heating efficiency [0-1] parameter\n\nΧ  = cst\n\nwhere Chi is the shear heating efficiency [NoUnits]\n\nShear heating is computed as\n\nH_s = Chi cdot tau_ij(dotvarepsilon_ij - dotvarepsilon^el_ij)\n\n\n\n\n\n","category":"type"},{"location":"man/shearheating/#Computational-routines","page":"Shear heating","title":"Computational routines","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"To compute, use this:","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.compute_shearheating\nGeoParams.MaterialParameters.Shearheating.compute_shearheating!","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating","text":"H_s = compute_shearheating(s:<AbstractShearheating, τ, ε, ε_el)\n\nComputes the shear heating source term\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\n\n\n\n\nH_s = ComputeShearheating(s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating!","text":"compute_shearheating!(H_s, s:<AbstractShearheating,  τ, ε, ε_el)\n\nComputes the shear heating source term in-place\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\nNOTE: The shear heating terms require the full deviatoric stress & strain rate tensors, i.e.:\n\n2D tau_ij = left(\n                beginmatrix\n                    tau_xx  tau_xz \n                    tau_zx  tau_zz\n                endmatrix\n            right)\n\nSince tau_zx=tau_xz, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used!\n\n\n\n\n\ncompute_shearheating!(H_s, s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term H_s in-place when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#Nondimensionalization","page":"Nondimensionalization","title":"Nondimensionalization","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between GEO, SI or NO units:","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"SI units assume all input and output is in SI units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).\nGEO units uses SI units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as Myrs,km or MPa\nNO units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that velocity is given in m/s).","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"A dimensional parameter can be transformed into a non-dimensional one with nondimensionalize.","category":"page"},{"location":"man/nondimensionalize/#Specify-characteristic-values","page":"Nondimensionalization","title":"Specify characteristic values","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Characteristic values can be defined in 3 ways.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"GeoParams.Units\nAbstractGeoUnit\nGeoUnit\nGeoUnits\nGEO_units\nSI_units\nNO_units\n@unpack_val\n@unpack_units","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units","page":"Nondimensionalization","title":"GeoParams.Units","text":"This provides units and creates a non-dimensionalization object\n\n\n\n\n\n","category":"module"},{"location":"man/nondimensionalize/#GeoParams.Units.AbstractGeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.AbstractGeoUnit","text":"AbstractGeoUnit\n\nAbstract supertype for geo units.\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnit","text":"Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.\n\nHaving that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.\nWith the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnits","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnits","text":"GeoUnits\n\nStructure that holds parameters used for non-dimensionalization\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GEO_units","page":"Nondimensionalization","title":"GeoParams.Units.GEO_units","text":"GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)\n\nCreates a non-dimensionalization object using GEO units.\n\nGEO units implies that upon dimensionalization, time will be in Myrs, length in km, stress in MPa, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (km or m), provided the unit is specified.\n\nExamples:\n\njulia> CharUnits = GEO_units()\nEmploying GEO units \nCharacteristic values: \n         length:      1000 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\njulia> CharUnits.velocity\n1.0e-7 m s⁻¹\n\nIf we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic length:\n\njulia> CharUnits = GEO_units(length=10km)\nEmploying GEO units \nCharacteristic values: \n         length:      10 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.SI_units","page":"Nondimensionalization","title":"GeoParams.Units.SI_units","text":"CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)\n\nSpecify the characteristic values using SI units \n\nExamples:\n\njulia> CharUnits = SI_units(length=1000m)\nEmploying SI units \nCharacteristic values: \n         length:      1000 m\n         time:        1.0e19 s\n         stress:      10 Pa\n         temperature: 1000.0 K\n\nNote that the same can be achieved if the input is given in km:\n\njulia> CharUnits = SI_units(length=1km)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.NO_units","page":"Nondimensionalization","title":"GeoParams.Units.NO_units","text":"CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)\n\nSpecify the characteristic values in non-dimensional units\n\nExamples:\n\njulia> using GeoParams;\njulia> CharUnits = NO_units()\nEmploying NONE units \nCharacteristic values: \n         length:      1\n         time:        1.0 \n         stress:      1\n         temperature: 1.0\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_val","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_val","text":"This unpacks the numerical value of `GeoUnit` in a structure, without the units.\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_val ρ,α = r\njulia> α\n4.0e-5\njulia> typeof(α)\nFloat64\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_units","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_units","text":"This unpacks the numerical value with units of `GeoUnit` parameters in a structure\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_units ρ,α = r\njulia> α\n4.0e-5 K⁻¹·⁰\njulia> typeof(α)\nQuantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#(Non)-dimensionalize-parameters","page":"Nondimensionalization","title":"(Non)-dimensionalize parameters","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"nondimensionalize\ndimensionalize\nisDimensional","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units.nondimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.nondimensionalize","text":"nondimensionalize(param, CharUnits::GeoUnits{TYPE})\n\nNondimensionalizes param using the characteristic values specified in CharUnits\n\nExample 1\n\njulia> using GeoParams;\njulia> CharUnits =   GEO_units();\njulia> v         =   3cm/yr\n3 cm yr⁻¹ \njulia> v_ND      =   nondimensionalize(v, CharUnits) \n0.009506426344208684\n\nExample 2\n\nIn geodynamics one sometimes encounters more funky units\n\njulia> CharUnits =   GEO_units();\njulia> A         =   6.3e-2MPa^-3.05*s^-1\n0.063 MPa⁻³·⁰⁵ s⁻¹\njulia> A_ND      =   nondimensionalize(A, CharUnits) \n7.068716262102384e14\n\nIn case you are interested to see how the units of A look like in different units, use this function from the Unitful package:\n\njulia> uconvert(u\"Pa^-3.05*s^-1\",A) \n3.157479571851836e-20 Pa⁻³·⁰⁵\n\nand to see it decomposed in the basic SI units of length, mass and time:\n\njulia> upreferred(A)\n3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵\n\n\n\n\n\nparam = nondimensionalize(param::NTuple{N,Quantity}, g::GeoUnits{TYPE})\n\nnondimensionalizes a tuple of parameters    \n\n\n\n\n\nMatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nNon-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\n\n\nnondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nnondimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\nMatParam_ND = nondimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)\n\nNon-dimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.dimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.dimensionalize","text":"dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes param into the dimensions param_dim using the characteristic values specified in CharUnits.  \n\nExample\n\njulia> CharUnits =   GEO_units();\njulia> v_ND      =   nondimensionalize(3cm/yr, CharUnits) \n0.031688087814028945\njulia> v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) \n3.0 cm yr⁻¹\n\n\n\n\n\ndimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\nDimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nDimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\ndimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)\n\ndimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.isDimensional","page":"Nondimensionalization","title":"GeoParams.Units.isDimensional","text":"isDimensional(MatParam::AbstractMaterialParam)\n\ntrue if MatParam is in dimensional units.    \n\n\n\n\n\n","category":"function"},{"location":"man/density/#Density","page":"Density","title":"Density","text":"","category":"section"},{"location":"man/density/#Methods","page":"Density","title":"Methods","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"The density equation of state can be specified in a number of ways","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.ConstantDensity\nGeoParams.MaterialParameters.Density.PT_Density\nGeoParams.MaterialParameters.Density.Compressible_Density","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.ConstantDensity","page":"Density","title":"GeoParams.MaterialParameters.Density.ConstantDensity","text":"ConstantDensity(ρ=2900kg/m^3)\n\nSet a constant density:\n\n    rho  = cst\n\nwhere rho is the density [kgm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.PT_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.PT_Density","text":"PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)\n\nSet a pressure and temperature-dependent density:\n\n    rho  = rho_0 (10 - alpha (T-T_0) + beta  (P-P_0) )  \n\nwhere rho_0 is the density [kgm^3] at reference temperature T_0 and pressure P_0, alpha is the temperature dependence of density and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.Compressible_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.Compressible_Density","text":"Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)\n\nSet a pressure-dependent density:\n\n    rho  = rho_0 exp(β*(P - P_0))  \n\nwhere rho_0 is the density [kgm^3] at reference pressure P_0 and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#Computational-routines","page":"Density","title":"Computational routines","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"To evaluate density within a user routine, use this:","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.compute_density\nGeoParams.MaterialParameters.Density.compute_density!","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density","text":"compute_density(P,T, s::PhaseDiagram_LookupTable)\n\nInterpolates density as a function of T,P from a lookup table  \n\n\n\n\n\n","category":"function"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density!","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density!","text":"compute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I<:Integer}\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\nExample\n\njulia> MatParam = (SetMaterialParams(Name=\"Mantle\", Phase=1,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                        Density   = PT_Density()\n                        ),\n                    SetMaterialParams(Name=\"Crust\", Phase=2,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),\n                        Density   = ConstantDensity(ρ=2900kg/m^3))\n                  );\njulia> Phases = ones(Int64,400,400);\njulia> Phases[:,20:end] .= 2\njulia> rho     = zeros(size(Phases))\njulia> T       =  ones(size(Phases))\njulia> P       =  ones(size(Phases))*10\njulia> args = (P=P, T=T)\njulia> compute_density!(rho, MatParam, Phases, args)\njulia> rho\n400×400 Matrix{Float64}:\n2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮                            \n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n\nThe routine is made to minimize allocations:\n\njulia> using BenchmarkTools\njulia> @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)\n    203.468 μs (0 allocations: 0 bytes)\n\n_____________________________________________________________________________________________________________________________   \n\ncompute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/density/","page":"Density","title":"Density","text":"Note that density values are usually not used in itself in the governing PDE's, but usually in combination with other parameters, such as rho g or rho c_p. the non-dimensional value of rho may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.","category":"page"},{"location":"man/customrheology/#User-defined-rheology","page":"Custom rheology","title":"User-defined rheology","text":"","category":"section"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"CustomRheology allows the user to interface with GeoParams.jl API for rheology calculations: ","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"struct CustomRheology{F1, F2, T} <: AbstractCreepLaw\n    strain::F1\n    stress::F2\n    args::T\nend","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"where strain and stress are functions that compute the strain rate and deviatoric stress tensors, respectively, and args is a NamedTuple containing any constant (i.e. immutable) physical parameters needed by our CustomRheology. ","category":"page"},{"location":"man/customrheology/#Example:-Arrhenious-type-rheology","page":"Custom rheology","title":"Example: Arrhenious-type rheology","text":"","category":"section"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"The deviatoric stress tau_ij and strain rate tensors dotvarepsilon_ij are simply tau_ij = 2 eta dotvarepsilon_ij and dotvarepsilon_ij  = tau_ij  over 2 eta","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"and the viscosity eta is temperature-dependant     eta = eta_0  expleft(fracET+T_o-fracET_eta+T_oright)","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"where eta_0 and T_eta are the respective reference viscosity and temperature, T_o is the offset temperature, T is the local temperature, and E is activation energy. ","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Before defining the functions to compute tau and dotvarepsilon, it is convenient to define a helper function to compute the viscosity:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"@inline function custom_viscosity(\n    a::CustomRheology; T = 0.0, kwargs...\n)\n    (; η0, E, To, Tη) = a.args\n    η = η0 * exp(E / (T + To) - E / (Tη + To))\n    return  η\nend","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Then we just need to define two simple functions to compue the second invariants of tau_ij and dotvarepsilon_ij:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"# function to compute deviatoric stress\n@inline function custom_τII(\n    a::CustomRheology, EpsII; kwargs...\n)\n    η = custom_viscosity(a; kwargs...)\n    return 2.0 * (η * EpsII)\nend\n\n# function to compute strain rate\n@inline function custom_εII(\n    a::CustomRheology, TauII; kwargs...\n)\n    η = custom_viscosity(a; kwargs...)\n    return (TauII / η) * 0.5\nend","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Note that the key word argument kwargs... is needed in all the above functions for compatibility with GeoParams.jl. ","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Finally, we need a NamedTuple containing the physical parameters needed by custom_τII and custom_εII:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"# constant parameters, these are typically wrapped into a struct (compulsory)\nparameters = (;\n    η0 = 1.0,\n    E = 23.03,\n    To = 1.0,\n    Tη = 1.0,\n)","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Then the CustomRheology object is created","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"a = CustomRheology(custom_εII, custom_τII, parameters)","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Now we can use our new rheology object with GeoParams.jl methods:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"julia> args = (; T=0.5)\n(T = 0.5,)\n\njulia> τII, εII = 1.5,  0.5\n(1.5, 0.5)\n\njulia> ε = compute_εII(v, τII, args)\n0.016147090412110487\n\njulia> τ = compute_τII(v, εII, args)\n46.44799656521971\n\njulia> dεdτ = dεII_dτII(v, τII, args)\n0.010764726941406991\n\njulia> dτdε = dτII_dεII(v, εII, args)\n92.89599313043942","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"And also works for composite rheologies:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"julia> el = ConstantElasticity(; G=1.0)\nLinear elasticity with shear modulus: G = 1.0, Poisson's ratio: ν = 0.5, bulk modulus: Kb = Inf and Young's module: E=NaN\n\njulia> c = CompositeRheology(v, el)\n--?????----/\\/\\/--\n\njulia> args = (; dt=Inf, T=0.5)\n(dt = Inf, T = 0.5)\n\njulia> ε = compute_εII(c, τII, args)\n0.016147090412110487\n\njulia> τ = compute_τII(c, εII, args)\n46.44799656521971","category":"page"},{"location":"man/gravity/#Gravitational-acceleration","page":"Gravity","title":"Gravitational acceleration","text":"","category":"section"},{"location":"man/gravity/#Methods","page":"Gravity","title":"Methods","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"Gravitational acceleration is defined as ","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","text":"GravityConstant(g=9.81m/s^2)\n\nSet a constant value for the gravitational acceleration:\n\n    g  = 981 m s^-2\n\n\n\n\n\n","category":"type"},{"location":"man/gravity/#Computational-routines","page":"Gravity","title":"Computational routines","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"To compute, use this:","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","text":"compute_gravity(s:<AbstractGravity)\n\nReturns the gravitational acceleration \n\n\n\n\n\n","category":"function"},{"location":"#GeoParams.jl","page":"Home","title":"GeoParams.jl","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:","category":"page"},{"location":"","page":"Home","title":"Home","text":"Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).\nMaterial parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. ","category":"page"},{"location":"","page":"Home","title":"Home","text":"We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).","category":"page"},{"location":"man/conductivity/#Conductivity","page":"Conductivity","title":"Conductivity","text":"","category":"section"},{"location":"man/conductivity/#Methods","page":"Conductivity","title":"Methods","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"Thermal conductivity is defined as ","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity\nGeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington\nGeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised\nGeoParams.MaterialParameters.Conductivity.TP_Conductivity\nGeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity","text":"ConstantConductivity(k=3.0W/m/K)\n\nSet a constant conductivity\n\n    k  = cst\n\nwhere k is the thermal conductivity [WmK].\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington","text":"T_Conductivity_Whittington()\n\nSets a temperature-dependent conductivity following the parameterization of Whittington, A.G., Hofmeister, A.M., Nabelek, P.I., 2009. Temperature-dependent thermal diffusivity of the Earth’s crust and implications for magmatism. Nature 458, 319–321. https://doi.org/10.1038/nature07818. Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us to compute\n\n    Cp = a + b T - cT^2\n\n    kappa = dT - e textrm if  T=846K\n\n    kappa = f - g*T textrm if  T846K\n\n    rho = 2700 kgm^3\n\n    k = kappa rho Cp\n\nwhere Cp is the heat capacity [JmolK], and abc are parameters that dependent on the temperature T:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nd = 576.3m^2/s*K\ne = 0.062m^2/s\nf = 0.732m^2/s\ng = 0.000135m^2/s/K\n\nThis looks like:\n\n(Image: subet1)\n\nExample\n\njulia> using GLMakie, GeoParams\njulia> p=T_Conductivity_Whittington();\njulia> T,k,plt = PlotConductivity(p)\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised","text":"T_Conductivity_Whittington_parameterised()\n\nSets a temperature-dependent conductivity that is  parameterization after Whittington, et al.  2009\n\nThe original parameterization involves quite a few parameters; this is a polynomial fit that is roughly valid from 0-1000 Celsius\n\n    k WmK = -2 10^-9 (T-Ts)^3 + 6 10^-6 (T-Ts)^2 - 00062 (T-Ts) + 4\n\n    Ts = 27315 K\n\nwhere T[K] is the temperature in Kelvin (or the nondimensional equivalent of it).\n\nThe comparison of this parameterisation vs. the original one is: (Image: subet1)\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.TP_Conductivity","text":"TP_Conductivity()\n\nSets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for\n\n    k = left( a_k +  b_k over T + c_k right) (1 + d_k P)\n\nwhere k is the conductivity [WKm], and a_kb_kc_kd_k are parameters that dependent on the temperature T and pressure P:\n\na_k = 1.18Watt/K/m\nb_k = 474Watt/m\nc_k = 77K\nd_k = 0/MPa\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","text":"Set_TP_Conductivity[\"Name of temperature(-pressure) dependent conductivity\"]\n\nThis is a dictionary with pre-defined laws:\n\n\"UpperCrust\"\n\"LowerCrust\"\n\"OceanicCrust\"\n\"Mantle\"\n\nExample\n\njulia> k=Set_TP_Conductivity[\"Mantle\"]\nT/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)\n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#Computational-routines","page":"Conductivity","title":"Computational routines","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"To compute, use this:","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.compute_conductivity\nGeoParams.MaterialParameters.Conductivity.compute_conductivity!","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity","text":"k = compute_conductivity(P, T, s:<AbstractConductivity)\n\nReturns the thermal conductivity k at any temperature T and pressure P using any of the parameterizations implemented.\n\nCurrently available:\n\nConstantConductivity\nT_Conductivity_Whittington\nTP_Conductivity\n\nExample\n\nUsing dimensional units\n\njulia> T  = (250:100:1250)*K;\njulia> cp = T_HeatCapacity_Whittington()\njulia> Cp = ComputeHeatCapacity(0,T,cp)\n\n\n\n\n\ncompute_conductivity!(K::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},Temp::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of conductivity K for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and Temp arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n_________________________________________________________________________________________________________\n\ncompute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity!","text":"compute_conductivity(k_array::AbstractArray{<:AbstractFloat,N},P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, s::ConstantConductivity) where N\n\nIn-place routine to compute constant conductivity\n\n\n\n\n\n","category":"function"}]
+}
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+    version_selector_select.append(option);
+  }
+
+  if (typeof DOC_VERSIONS !== 'undefined') {
+    var existing_versions = version_selector_select.children("option");
+    var existing_versions_texts = existing_versions.map(function(i,x){return x.text});
+    DOC_VERSIONS.forEach(function(each) {
+      var version_url = documenterBaseURL + "/../" + each;
+      var existing_id = $.inArray(each, existing_versions_texts);
+      // if not already in the version selector, add it as a new option,
+      // otherwise update the old option with the URL and enable it
+      if (existing_id == -1) {
+        var option = $("<option value='" + version_url + "'>" + each + "</option>");
+        version_selector_select.append(option);
+      } else {
+        var option = existing_versions[existing_id];
+        option.value = version_url;
+        option.disabled = false;
+      }
+    });
+  }
+
+  // only show the version selector if the selector has been populated
+  if (version_selector_select.children("option").length > 0) {
+    version_selector.toggleClass("visible");
+  }
+})
+
+})
diff --git a/v0.5.7/assets/logo.png b/v0.5.7/assets/logo.png
new file mode 100644
index 000000000..dae9e66cd
Binary files /dev/null and b/v0.5.7/assets/logo.png differ
diff --git a/v0.5.7/assets/logo_avatar.png b/v0.5.7/assets/logo_avatar.png
new file mode 100644
index 000000000..52bca2064
Binary files /dev/null and b/v0.5.7/assets/logo_avatar.png differ
diff --git a/v0.5.7/assets/search.js b/v0.5.7/assets/search.js
new file mode 100644
index 000000000..c133f7410
--- /dev/null
+++ b/v0.5.7/assets/search.js
@@ -0,0 +1,267 @@
+// Generated by Documenter.jl
+requirejs.config({
+  paths: {
+    'lunr': 'https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min',
+    'lodash': 'https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.21/lodash.min',
+    'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min',
+  }
+});
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'lunr', 'lodash'], function($, lunr, _) {
+
+$(document).ready(function() {
+  // parseUri 1.2.2
+  // (c) Steven Levithan <stevenlevithan.com>
+  // MIT License
+  function parseUri (str) {
+    var  o   = parseUri.options,
+      m   = o.parser[o.strictMode ? "strict" : "loose"].exec(str),
+      uri = {},
+      i   = 14;
+
+    while (i--) uri[o.key[i]] = m[i] || "";
+
+    uri[o.q.name] = {};
+    uri[o.key[12]].replace(o.q.parser, function ($0, $1, $2) {
+      if ($1) uri[o.q.name][$1] = $2;
+    });
+
+    return uri;
+  };
+  parseUri.options = {
+    strictMode: false,
+    key: ["source","protocol","authority","userInfo","user","password","host","port","relative","path","directory","file","query","anchor"],
+    q:   {
+      name:   "queryKey",
+      parser: /(?:^|&)([^&=]*)=?([^&]*)/g
+    },
+    parser: {
+      strict: /^(?:([^:\/?#]+):)?(?:\/\/((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?))?((((?:[^?#\/]*\/)*)([^?#]*))(?:\?([^#]*))?(?:#(.*))?)/,
+      loose:  /^(?:(?![^:@]+:[^:@\/]*@)([^:\/?#.]+):)?(?:\/\/)?((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?)(((\/(?:[^?#](?![^?#\/]*\.[^?#\/.]+(?:[?#]|$)))*\/?)?([^?#\/]*))(?:\?([^#]*))?(?:#(.*))?)/
+    }
+  };
+
+  $("#search-form").submit(function(e) {
+    e.preventDefault()
+  })
+
+  // list below is the lunr 2.1.3 list minus the intersect with names(Base)
+  // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with)
+  // ideally we'd just filter the original list but it's not available as a variable
+  lunr.stopWordFilter = lunr.generateStopWordFilter([
+    'a',
+    'able',
+    'about',
+    'across',
+    'after',
+    'almost',
+    'also',
+    'am',
+    'among',
+    'an',
+    'and',
+    'are',
+    'as',
+    'at',
+    'be',
+    'because',
+    'been',
+    'but',
+    'by',
+    'can',
+    'cannot',
+    'could',
+    'dear',
+    'did',
+    'does',
+    'either',
+    'ever',
+    'every',
+    'from',
+    'got',
+    'had',
+    'has',
+    'have',
+    'he',
+    'her',
+    'hers',
+    'him',
+    'his',
+    'how',
+    'however',
+    'i',
+    'if',
+    'into',
+    'it',
+    'its',
+    'just',
+    'least',
+    'like',
+    'likely',
+    'may',
+    'me',
+    'might',
+    'most',
+    'must',
+    'my',
+    'neither',
+    'no',
+    'nor',
+    'not',
+    'of',
+    'off',
+    'often',
+    'on',
+    'or',
+    'other',
+    'our',
+    'own',
+    'rather',
+    'said',
+    'say',
+    'says',
+    'she',
+    'should',
+    'since',
+    'so',
+    'some',
+    'than',
+    'that',
+    'the',
+    'their',
+    'them',
+    'then',
+    'there',
+    'these',
+    'they',
+    'this',
+    'tis',
+    'to',
+    'too',
+    'twas',
+    'us',
+    'wants',
+    'was',
+    'we',
+    'were',
+    'what',
+    'when',
+    'who',
+    'whom',
+    'why',
+    'will',
+    'would',
+    'yet',
+    'you',
+    'your'
+  ])
+
+  // add . as a separator, because otherwise "title": "Documenter.Anchors.add!"
+  // would not find anything if searching for "add!", only for the entire qualification
+  lunr.tokenizer.separator = /[\s\-\.]+/
+
+  // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names
+  lunr.trimmer = function (token) {
+    return token.update(function (s) {
+      return s.replace(/^[^a-zA-Z0-9@!]+/, '').replace(/[^a-zA-Z0-9@!]+$/, '')
+    })
+  }
+
+  lunr.Pipeline.registerFunction(lunr.stopWordFilter, 'juliaStopWordFilter')
+  lunr.Pipeline.registerFunction(lunr.trimmer, 'juliaTrimmer')
+
+  var index = lunr(function () {
+    this.ref('location')
+    this.field('title',{boost: 100})
+    this.field('text')
+    documenterSearchIndex['docs'].forEach(function(e) {
+        this.add(e)
+    }, this)
+  })
+  var store = {}
+
+  documenterSearchIndex['docs'].forEach(function(e) {
+      store[e.location] = {title: e.title, category: e.category, page: e.page}
+  })
+
+  $(function(){
+    searchresults = $('#documenter-search-results');
+    searchinfo = $('#documenter-search-info');
+    searchbox = $('#documenter-search-query');
+    searchform = $('.docs-search');
+    sidebar = $('.docs-sidebar');
+    function update_search(querystring) {
+      tokens = lunr.tokenizer(querystring)
+      results = index.query(function (q) {
+        tokens.forEach(function (t) {
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 100,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 10,
+            usePipeline: true,
+            editDistance: 2,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["text"],
+            boost: 1,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+        })
+      })
+      searchinfo.text("Number of results: " + results.length)
+      searchresults.empty()
+      results.forEach(function(result) {
+        data = store[result.ref]
+        link = $('<a class="docs-label">'+data.title+'</a>')
+        link.attr('href', documenterBaseURL+'/'+result.ref)
+        if (data.category != "page"){
+          cat = $('<span class="docs-category">('+data.category+', '+data.page+')</span>')
+        } else {
+          cat = $('<span class="docs-category">('+data.category+')</span>')
+        }
+        li = $('<li>').append(link).append(" ").append(cat)
+        searchresults.append(li)
+      })
+    }
+
+    function update_search_box() {
+      querystring = searchbox.val()
+      update_search(querystring)
+    }
+
+    searchbox.keyup(_.debounce(update_search_box, 250))
+    searchbox.change(update_search_box)
+
+    // Disable enter-key form submission for the searchbox on the search page
+    // and just re-run search rather than refresh the whole page.
+    searchform.keypress(
+      function(event){
+        if (event.which == '13') {
+          if (sidebar.hasClass('visible')) {
+            sidebar.removeClass('visible');
+          }
+          update_search_box();
+          event.preventDefault();
+        }
+      }
+    );
+
+    search_query_uri = parseUri(window.location).queryKey["q"]
+    if(search_query_uri !== undefined) {
+      search_query = decodeURIComponent(search_query_uri.replace(/\+/g, '%20'))
+      searchbox.val(search_query)
+    }
+    update_search_box();
+  })
+})
+
+})
diff --git a/v0.5.7/assets/themes/documenter-dark.css b/v0.5.7/assets/themes/documenter-dark.css
new file mode 100644
index 000000000..c94a294dc
--- /dev/null
+++ b/v0.5.7/assets/themes/documenter-dark.css
@@ -0,0 +1,7 @@
+@keyframes spinAround{from{transform:rotate(0deg)}to{transform:rotate(359deg)}}html.theme--documenter-dark .tabs,html.theme--documenter-dark .pagination-previous,html.theme--documenter-dark .pagination-next,html.theme--documenter-dark .pagination-link,html.theme--documenter-dark .pagination-ellipsis,html.theme--documenter-dark .breadcrumb,html.theme--documenter-dark .file,html.theme--documenter-dark .button,.is-unselectable,html.theme--documenter-dark .modal-close,html.theme--documenter-dark .delete{-webkit-touch-callout:none;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none}html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after,html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after{border:3px solid rgba(0,0,0,0);border-radius:2px;border-right:0;border-top:0;content:" ";display:block;height:0.625em;margin-top:-0.4375em;pointer-events:none;position:absolute;top:50%;transform:rotate(-45deg);transform-origin:center;width:0.625em}html.theme--documenter-dark .admonition:not(:last-child),html.theme--documenter-dark .tabs:not(:last-child),html.theme--documenter-dark .message:not(:last-child),html.theme--documenter-dark .list:not(:last-child),html.theme--documenter-dark .level:not(:last-child),html.theme--documenter-dark .breadcrumb:not(:last-child),html.theme--documenter-dark .highlight:not(:last-child),html.theme--documenter-dark .block:not(:last-child),html.theme--documenter-dark .title:not(:last-child),html.theme--documenter-dark .subtitle:not(:last-child),html.theme--documenter-dark .table-container:not(:last-child),html.theme--documenter-dark .table:not(:last-child),html.theme--documenter-dark .progress:not(:last-child),html.theme--documenter-dark .notification:not(:last-child),html.theme--documenter-dark .content:not(:last-child),html.theme--documenter-dark .box:not(:last-child){margin-bottom:1.5rem}html.theme--documenter-dark .modal-close,html.theme--documenter-dark .delete{-moz-appearance:none;-webkit-appearance:none;background-color:rgba(10,10,10,0.2);border:none;border-radius:290486px;cursor:pointer;pointer-events:auto;display:inline-block;flex-grow:0;flex-shrink:0;font-size:0;height:20px;max-height:20px;max-width:20px;min-height:20px;min-width:20px;outline:none;position:relative;vertical-align:top;width:20px}html.theme--documenter-dark .modal-close::before,html.theme--documenter-dark .delete::before,html.theme--documenter-dark .modal-close::after,html.theme--documenter-dark .delete::after{background-color:#fff;content:"";display:block;left:50%;position:absolute;top:50%;transform:translateX(-50%) translateY(-50%) rotate(45deg);transform-origin:center center}html.theme--documenter-dark .modal-close::before,html.theme--documenter-dark .delete::before{height:2px;width:50%}html.theme--documenter-dark .modal-close::after,html.theme--documenter-dark .delete::after{height:50%;width:2px}html.theme--documenter-dark .modal-close:hover,html.theme--documenter-dark .delete:hover,html.theme--documenter-dark .modal-close:focus,html.theme--documenter-dark .delete:focus{background-color:rgba(10,10,10,0.3)}html.theme--documenter-dark .modal-close:active,html.theme--documenter-dark .delete:active{background-color:rgba(10,10,10,0.4)}html.theme--documenter-dark .is-small.modal-close,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.modal-close,html.theme--documenter-dark .is-small.delete,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.delete{height:16px;max-height:16px;max-width:16px;min-height:16px;min-width:16px;width:16px}html.theme--documenter-dark .is-medium.modal-close,html.theme--documenter-dark .is-medium.delete{height:24px;max-height:24px;max-width:24px;min-height:24px;min-width:24px;width:24px}html.theme--documenter-dark .is-large.modal-close,html.theme--documenter-dark .is-large.delete{height:32px;max-height:32px;max-width:32px;min-height:32px;min-width:32px;width:32px}html.theme--documenter-dark .control.is-loading::after,html.theme--documenter-dark .select.is-loading::after,html.theme--documenter-dark .loader,html.theme--documenter-dark .button.is-loading::after{animation:spinAround 500ms infinite linear;border:2px solid #dbdee0;border-radius:290486px;border-right-color:transparent;border-top-color:transparent;content:"";display:block;height:1em;position:relative;width:1em}html.theme--documenter-dark .hero-video,html.theme--documenter-dark .modal-background,html.theme--documenter-dark .modal,html.theme--documenter-dark .image.is-square img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--documenter-dark .image.is-square .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--documenter-dark .image.is-1by1 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--documenter-dark .image.is-1by1 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--documenter-dark .image.is-5by4 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by4 img,html.theme--documenter-dark .image.is-5by4 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by4 .has-ratio,html.theme--documenter-dark .image.is-4by3 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by3 img,html.theme--documenter-dark .image.is-4by3 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by3 .has-ratio,html.theme--documenter-dark .image.is-3by2 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by2 img,html.theme--documenter-dark .image.is-3by2 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by2 .has-ratio,html.theme--documenter-dark .image.is-5by3 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--documenter-dark .image.is-5by3 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--documenter-dark .image.is-16by9 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--documenter-dark .image.is-16by9 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--documenter-dark .image.is-2by1 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--documenter-dark .image.is-2by1 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--documenter-dark .image.is-3by1 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--documenter-dark .image.is-3by1 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by1 .has-ratio,html.theme--documenter-dark .image.is-4by5 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by5 img,html.theme--documenter-dark .image.is-4by5 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by5 .has-ratio,html.theme--documenter-dark .image.is-3by4 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by4 img,html.theme--documenter-dark .image.is-3by4 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by4 .has-ratio,html.theme--documenter-dark .image.is-2by3 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by3 img,html.theme--documenter-dark .image.is-2by3 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by3 .has-ratio,html.theme--documenter-dark .image.is-3by5 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by5 img,html.theme--documenter-dark .image.is-3by5 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by5 .has-ratio,html.theme--documenter-dark .image.is-9by16 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-9by16 img,html.theme--documenter-dark .image.is-9by16 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-9by16 .has-ratio,html.theme--documenter-dark .image.is-1by2 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by2 img,html.theme--documenter-dark .image.is-1by2 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by2 .has-ratio,html.theme--documenter-dark .image.is-1by3 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by3 img,html.theme--documenter-dark .image.is-1by3 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by3 .has-ratio,.is-overlay{bottom:0;left:0;position:absolute;right:0;top:0}html.theme--documenter-dark .pagination-previous,html.theme--documenter-dark .pagination-next,html.theme--documenter-dark .pagination-link,html.theme--documenter-dark .pagination-ellipsis,html.theme--documenter-dark .file-cta,html.theme--documenter-dark .file-name,html.theme--documenter-dark .select select,html.theme--documenter-dark .textarea,html.theme--documenter-dark .input,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input,html.theme--documenter-dark .button{-moz-appearance:none;-webkit-appearance:none;align-items:center;border:1px solid transparent;border-radius:.4em;box-shadow:none;display:inline-flex;font-size:15px;height:2.25em;justify-content:flex-start;line-height:1.5;padding-bottom:calc(0.375em - 1px);padding-left:calc(0.625em - 1px);padding-right:calc(0.625em - 1px);padding-top:calc(0.375em - 1px);position:relative;vertical-align:top}html.theme--documenter-dark .pagination-previous:focus,html.theme--documenter-dark .pagination-next:focus,html.theme--documenter-dark .pagination-link:focus,html.theme--documenter-dark .pagination-ellipsis:focus,html.theme--documenter-dark .file-cta:focus,html.theme--documenter-dark .file-name:focus,html.theme--documenter-dark .select select:focus,html.theme--documenter-dark .textarea:focus,html.theme--documenter-dark .input:focus,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input:focus,html.theme--documenter-dark .button:focus,html.theme--documenter-dark .is-focused.pagination-previous,html.theme--documenter-dark .is-focused.pagination-next,html.theme--documenter-dark .is-focused.pagination-link,html.theme--documenter-dark .is-focused.pagination-ellipsis,html.theme--documenter-dark 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html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#ecf0f1;color:#ecf0f1}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--documenter-dark .content 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.button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-outlined{background-color:transparent;border-color:#9e1b0d;box-shadow:none;color:#9e1b0d}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#9e1b0d}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #9e1b0d #9e1b0d !important}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{border-radius:3px;font-size:.85em}html.theme--documenter-dark .button.is-normal{font-size:15px}html.theme--documenter-dark .button.is-medium{font-size:1.25rem}html.theme--documenter-dark .button.is-large{font-size:1.5rem}html.theme--documenter-dark .button[disabled],fieldset[disabled] html.theme--documenter-dark .button{background-color:#8c9b9d;border-color:#dbdee0;box-shadow:none;opacity:.5}html.theme--documenter-dark .button.is-fullwidth{display:flex;width:100%}html.theme--documenter-dark .button.is-loading{color:transparent !important;pointer-events:none}html.theme--documenter-dark .button.is-loading::after{position:absolute;left:calc(50% - (1em / 2));top:calc(50% - (1em / 2));position:absolute !important}html.theme--documenter-dark .button.is-static{background-color:#282f2f;border-color:#5e6d6f;color:#dbdee0;box-shadow:none;pointer-events:none}html.theme--documenter-dark .button.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{border-radius:290486px;padding-left:1em;padding-right:1em}html.theme--documenter-dark .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--documenter-dark .buttons .button{margin-bottom:0.5rem}html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:0.5rem}html.theme--documenter-dark .buttons:last-child{margin-bottom:-0.5rem}html.theme--documenter-dark .buttons:not(:last-child){margin-bottom:1rem}html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){border-radius:3px;font-size:.85em}html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--documenter-dark .buttons.has-addons 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h3,html.theme--documenter-dark .content h4,html.theme--documenter-dark .content h5,html.theme--documenter-dark .content h6{color:#f2f2f2;font-weight:600;line-height:1.125}html.theme--documenter-dark .content h1{font-size:2em;margin-bottom:0.5em}html.theme--documenter-dark .content h1:not(:first-child){margin-top:1em}html.theme--documenter-dark .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--documenter-dark .content h2:not(:first-child){margin-top:1.1428em}html.theme--documenter-dark .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--documenter-dark .content h3:not(:first-child){margin-top:1.3333em}html.theme--documenter-dark .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--documenter-dark .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--documenter-dark .content h6{font-size:1em;margin-bottom:1em}html.theme--documenter-dark .content blockquote{background-color:#282f2f;border-left:5px solid #5e6d6f;padding:1.25em 1.5em}html.theme--documenter-dark .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ol:not([type]){list-style-type:decimal}html.theme--documenter-dark .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--documenter-dark .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--documenter-dark .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--documenter-dark .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--documenter-dark .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--documenter-dark .content ul ul ul{list-style-type:square}html.theme--documenter-dark .content dd{margin-left:2em}html.theme--documenter-dark .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--documenter-dark .content figure:not(:first-child){margin-top:2em}html.theme--documenter-dark .content figure:not(:last-child){margin-bottom:2em}html.theme--documenter-dark .content figure img{display:inline-block}html.theme--documenter-dark .content figure figcaption{font-style:italic}html.theme--documenter-dark .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--documenter-dark .content sup,html.theme--documenter-dark .content sub{font-size:75%}html.theme--documenter-dark .content table{width:100%}html.theme--documenter-dark .content table td,html.theme--documenter-dark .content table th{border:1px solid #5e6d6f;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--documenter-dark .content table th{color:#f2f2f2}html.theme--documenter-dark .content table th:not([align]){text-align:left}html.theme--documenter-dark .content table thead td,html.theme--documenter-dark .content table thead th{border-width:0 0 2px;color:#f2f2f2}html.theme--documenter-dark .content table tfoot td,html.theme--documenter-dark .content table tfoot th{border-width:2px 0 0;color:#f2f2f2}html.theme--documenter-dark .content table tbody tr:last-child td,html.theme--documenter-dark .content table tbody tr:last-child th{border-bottom-width:0}html.theme--documenter-dark .content .tabs li+li{margin-top:0}html.theme--documenter-dark .content.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.content{font-size:.85em}html.theme--documenter-dark .content.is-medium{font-size:1.25rem}html.theme--documenter-dark .content.is-large{font-size:1.5rem}html.theme--documenter-dark .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--documenter-dark .icon.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--documenter-dark .icon.is-medium{height:2rem;width:2rem}html.theme--documenter-dark .icon.is-large{height:3rem;width:3rem}html.theme--documenter-dark .image,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--documenter-dark .image img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--documenter-dark .image img.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:290486px}html.theme--documenter-dark .image.is-square img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--documenter-dark .image.is-square .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--documenter-dark .image.is-1by1 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--documenter-dark .image.is-1by1 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and (min-width: 1056px){html.theme--documenter-dark #documenter .docs-main{max-width:52rem;margin-left:20rem;padding-right:1rem}}@media screen and (max-width: 1055px){html.theme--documenter-dark #documenter .docs-main{width:100%}html.theme--documenter-dark #documenter .docs-main>article{max-width:52rem;margin-left:auto;margin-right:auto;margin-bottom:1rem;padding:0 1rem}html.theme--documenter-dark #documenter .docs-main>header,html.theme--documenter-dark #documenter .docs-main>nav{max-width:100%;width:100%;margin:0}}html.theme--documenter-dark #documenter .docs-main header.docs-navbar{background-color:#1f2424;border-bottom:1px solid #5e6d6f;z-index:2;min-height:4rem;margin-bottom:1rem;display:flex}html.theme--documenter-dark #documenter .docs-main header.docs-navbar .breadcrumb{flex-grow:1}html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right{display:flex;white-space:nowrap}html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right 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span.sgr105{background-color:#d2a4e6}html.theme--documenter-dark .ansi span.sgr106{background-color:#6bc8db}html.theme--documenter-dark .ansi span.sgr107{background-color:#ecf0f1}html.theme--documenter-dark code.language-julia-repl>span.hljs-meta{color:#4fb43a;font-weight:bolder}html.theme--documenter-dark .hljs{background:#2b2b2b;color:#f8f8f2}html.theme--documenter-dark .hljs-comment,html.theme--documenter-dark .hljs-quote{color:#d4d0ab}html.theme--documenter-dark .hljs-variable,html.theme--documenter-dark .hljs-template-variable,html.theme--documenter-dark .hljs-tag,html.theme--documenter-dark .hljs-name,html.theme--documenter-dark .hljs-selector-id,html.theme--documenter-dark .hljs-selector-class,html.theme--documenter-dark .hljs-regexp,html.theme--documenter-dark .hljs-deletion{color:#ffa07a}html.theme--documenter-dark .hljs-number,html.theme--documenter-dark .hljs-built_in,html.theme--documenter-dark .hljs-literal,html.theme--documenter-dark .hljs-type,html.theme--documenter-dark 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diff --git a/v0.5.7/assets/themes/documenter-light.css b/v0.5.7/assets/themes/documenter-light.css
new file mode 100644
index 000000000..9b9a14b04
--- /dev/null
+++ b/v0.5.7/assets/themes/documenter-light.css
@@ -0,0 +1,9 @@
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diff --git a/v0.5.7/index.html b/v0.5.7/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Home · GeoParams.jl</title><script data-outdated-warner src="assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="assets/documenter.js"></script><script src="siteinfo.js"></script><script src="../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href><img src="assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href>GeoParams.jl</a></span></div><form class="docs-search" action="search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li class="is-active"><a class="tocitem" href>Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="man/geounit/">GeoUnit</a></li><li><a class="tocitem" href="man/nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="man/materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="man/density/">Density</a></li><li><a class="tocitem" href="man/creeplaws/">Creep laws</a></li><li><a class="tocitem" href="man/customrheology/">Custom rheology</a></li><li><a class="tocitem" href="man/viscosity/">Viscosity</a></li><li><a class="tocitem" href="man/elasticity/">Elasticity</a></li><li><a class="tocitem" href="man/plasticity/">Plasticity</a></li><li><a class="tocitem" href="man/heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="man/conductivity/">Conductivity</a></li><li><a class="tocitem" href="man/latentheat/">Latent heat</a></li><li><a class="tocitem" href="man/radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="man/shearheating/">Shear heating</a></li><li><a class="tocitem" href="man/gravity/">Gravity</a></li><li><a class="tocitem" href="man/melting/">Partial Melting</a></li><li><a class="tocitem" href="man/TASclassification/">TAS classification</a></li><li><a class="tocitem" href="man/zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="man/phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="man/seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="man/strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="man/plotting/">Plotting</a></li><li><a class="tocitem" href="man/listfunctions/">List of functions</a></li><li><a class="tocitem" href="man/contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Home</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Home</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/index.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="GeoParams.jl"><a class="docs-heading-anchor" href="#GeoParams.jl">GeoParams.jl</a><a id="GeoParams.jl-1"></a><a class="docs-heading-anchor-permalink" href="#GeoParams.jl" title="Permalink"></a></h1><p>Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:</p><ul><li>Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).</li><li>Material parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. </li></ul><p>We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="man/geounit/">GeoUnit »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 19 February 2024 17:10">Monday 19 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.7/man/TASclassification/index.html b/v0.5.7/man/TASclassification/index.html
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+++ b/v0.5.7/man/TASclassification/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>TAS classification · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li class="is-active"><a class="tocitem" href>TAS classification</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routine"><span>Computational routine</span></a></li></ul></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>TAS classification</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>TAS classification</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/TASclassification.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="TAS-rock-classification"><a class="docs-heading-anchor" href="#TAS-rock-classification">TAS rock classification</a><a id="TAS-rock-classification-1"></a><a class="docs-heading-anchor-permalink" href="#TAS-rock-classification" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>When doing coupled petrological-geodynamic modelling, the evolution of the composition of the magma is more easily understood when a rock type is given. This routine is an implementation of the TAS diagram (Total Alkali (TA) vs Silica (S)) from Le Maitre et al., 2002.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.TASclassificationData" href="#GeoParams.TASclassification.TASclassificationData"><code>GeoParams.TASclassification.TASclassificationData</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">TASclassificationData
+
+Struct that holds default parameters for the TAS diagram</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/RockClassification/TASclassification.jl#L47-L51">source</a></section></article><h1 id="Computational-routine"><a class="docs-heading-anchor" href="#Computational-routine">Computational routine</a><a id="Computational-routine-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routine" title="Permalink"></a></h1><p>There is one routine with which you can retrieve the index of the TAS rock-type. The routine receives as an input a compositional vector [SiO2,Na2O+K2O] in wt% and sends back an index [1-15].</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.computeTASclassification" href="#GeoParams.TASclassification.computeTASclassification"><code>GeoParams.TASclassification.computeTASclassification</code></a> — <span class="docstring-category">Function</span></header><section><div><p>classIndex computeTASclassification(chemComp::AbstractArray{_T,N}, ClassTASdata::TASclassificationData)</p><p>This compute the classification of the igneous rock using TAS diagram (Total Alkali (TA) vs Silica (S)).</p><p><strong>Input:</strong></p><ul><li><code>chemComp</code> : vector rock composition in oxide wt%</li></ul><p>Output:</p><ul><li><code>classIndex</code> : an integer [0-14] corresponding to a TAS field (TASclassificationData.litho[classIndex])</li></ul><p>This routine was developed based the TAS classification of Le Maitre et al., 2002</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/RockClassification/TASclassification.jl#L113-L127">source</a></section></article><p>Using the index of the rock-type you can get the name of the corresponding volcanic rock using the following routine.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.TASclassification.retrieveTASrockType" href="#GeoParams.TASclassification.retrieveTASrockType"><code>GeoParams.TASclassification.retrieveTASrockType</code></a> — <span class="docstring-category">Function</span></header><section><div><p>retrieveTASrockType(index::Int64; ClassTASdata::TASclassificationData = TASclassificationData())</p><p>This retrieves the name of the volcanic rock-type using the computed index</p><p><strong>Input:</strong></p><ul><li><code>index</code> : integer [1-15]</li></ul><p>Output:</p><ul><li><code>litho</code> : a string of the name of corresponding volcanic rock</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/RockClassification/TASclassification.jl#L93-L105">source</a></section></article><p>We also provide a plotting routine, provided the GLMakie.jl package is loaded, which produces figures such as: <img src="../assets/img/TAS_diagram.png" alt="subet3"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../melting/">« Partial Melting</a><a class="docs-footer-nextpage" href="../zirconages/">Zircon Ages »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 19 February 2024 17:10">Monday 19 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Conductivity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Conductivity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Conductivity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/conductivity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Conductivity"><a class="docs-heading-anchor" href="#Conductivity">Conductivity</a><a id="Conductivity-1"></a><a class="docs-heading-anchor-permalink" href="#Conductivity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Thermal conductivity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.ConstantConductivity" href="#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantConductivity(k=3.0W/m/K)</code></pre><p>Set a constant conductivity</p><p class="math-container">\[    k  = cst\]</p><p>where <span>$k$</span> is the thermal conductivity [<span>$W/m/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Energy/Conductivity.jl#L28-L36">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington" href="#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Conductivity_Whittington()</code></pre><p>Sets a temperature-dependent conductivity following the parameterization of <em>Whittington, A.G., Hofmeister, A.M., Nabelek, P.I., 2009. Temperature-dependent thermal diffusivity of the Earth’s crust and implications for magmatism. Nature 458, 319–321. https://doi.org/10.1038/nature07818.</em> Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us to compute</p><p class="math-container">\[    Cp = a + b T - c/T^2\]</p><p class="math-container">\[    \kappa = d/T - e \textrm{ if } T&lt;=846K\]</p><p class="math-container">\[    \kappa = f - g*T \textrm{ if } T&gt;846K\]</p><p class="math-container">\[    \rho = 2700 kg/m^3\]</p><p class="math-container">\[    k = \kappa \rho Cp\]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/mol/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <code>T</code>:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>d = 576.3m^2/s*K</li><li>e = 0.062m^2/s</li><li>f = 0.732m^2/s</li><li>g = 0.000135m^2/s/K</li></ul><p>This looks like:</p><p><img src="../assets/img/Conductivity_Whittington.png" alt="subet1"/></p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; using GLMakie, GeoParams
+julia&gt; p=T_Conductivity_Whittington();
+julia&gt; T,k,plt = PlotConductivity(p)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Energy/Conductivity.jl#L79-L125">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised" href="#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Conductivity_Whittington_parameterised()</code></pre><p>Sets a temperature-dependent conductivity that is  parameterization after <em>Whittington, et al.  2009</em></p><p>The original parameterization involves quite a few parameters; this is a polynomial fit that is roughly valid from 0-1000 Celsius</p><p class="math-container">\[    k [W/m/K] = -2 10^{-9} (T-Ts)^3 + 6 10^{-6} (T-Ts)^2 - 0.0062 (T-Ts) + 4\]</p><p class="math-container">\[    Ts = 273.15 K\]</p><p>where <code>T[K]</code> is the temperature in Kelvin (or the nondimensional equivalent of it).</p><p>The comparison of this parameterisation vs. the original one is: <img src="../assets/img/Conductivity_Whittington_smooth.png" alt="subet1"/></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Energy/Conductivity.jl#L216-L234">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">TP_Conductivity()</code></pre><p>Sets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for</p><p class="math-container">\[    k = \left( a_k +  {b_k \over {T + c_k}} \right) (1 + d_k P)\]</p><p>where <span>$k$</span> is the conductivity [<span>$W/K/m$</span>], and <span>$a_k,b_k,c_k,d_k$</span> are parameters that dependent on the temperature <code>T</code> and pressure <code>P</code>:</p><ul><li><span>$a_k$</span> = 1.18Watt/K/m</li><li><span>$b_k$</span> = 474Watt/m</li><li><span>$c_k$</span> = 77K</li><li><span>$d_k$</span> = 0/MPa</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Energy/Conductivity.jl#L311-L326">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity" href="#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">Set_TP_Conductivity[&quot;Name of temperature(-pressure) dependent conductivity&quot;]</code></pre><p>This is a dictionary with pre-defined laws:</p><ul><li>&quot;UpperCrust&quot;</li><li>&quot;LowerCrust&quot;</li><li>&quot;OceanicCrust&quot;</li><li>&quot;Mantle&quot;</li></ul><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; k=Set_TP_Conductivity[&quot;Mantle&quot;]
+T/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Energy/Conductivity.jl#L349-L364">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">k = compute_conductivity(P, T, s:&lt;AbstractConductivity)</code></pre><p>Returns the thermal conductivity <code>k</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the parameterizations implemented.</p><p>Currently available:</p><ul><li>ConstantConductivity</li><li>T_Conductivity_Whittington</li><li>TP_Conductivity</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia hljs">julia&gt; T  = (250:100:1250)*K;
+julia&gt; cp = T_HeatCapacity_Whittington()
+julia&gt; Cp = ComputeHeatCapacity(0,T,cp)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Energy/Conductivity.jl#L496-L515">source</a></section><section><div><pre><code class="nohighlight hljs">compute_conductivity!(K::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},Temp::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of conductivity <code>K</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>Temp</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p>_________________________________________________________________________________________________________</p><p>compute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</p><p>In-place computation of conductivity <code>k</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Energy/Conductivity.jl#L537-L549">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Conductivity.compute_conductivity!" href="#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_conductivity(k_array::AbstractArray{&lt;:AbstractFloat,N},P::AbstractArray{&lt;:AbstractFloat,N},T::AbstractArray{&lt;:AbstractFloat,N}, s::ConstantConductivity) where N</code></pre><p>In-place routine to compute constant conductivity</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Energy/Conductivity.jl#L63-L67">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../heatcapacity/">« Heat Capacity</a><a class="docs-footer-nextpage" href="../latentheat/">Latent heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 19 February 2024 17:10">Monday 19 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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Guide</span></a></li></ul></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Contributing</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Contributing</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/contributing.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button 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If you invest a bit of time now, it will save others in the community a lot of time! The simplest way to do this is by cloning the repository, and creating a new branch for your feature. Once you are happy with what you added (and after you added a test to ensure that it will keep working with future changes), create a pull request and we will evaluate &amp; merge it.</p><h2 id="Style-Guide"><a class="docs-heading-anchor" href="#Style-Guide">Style Guide</a><a id="Style-Guide-1"></a><a class="docs-heading-anchor-permalink" href="#Style-Guide" title="Permalink"></a></h2><p>Follow the style of the surrounding text when making changes. When adding new features please try to stick to the following points whenever applicable.</p><h3 id="Julia"><a class="docs-heading-anchor" href="#Julia">Julia</a><a id="Julia-1"></a><a class="docs-heading-anchor-permalink" href="#Julia" title="Permalink"></a></h3><ul><li>4-space indentation;</li><li>modules spanning entire files should not be indented, but modules that have surrounding code should;</li><li>no blank lines at the start or end of files;</li><li>do not manually align syntax such as <code>=</code> or <code>::</code> over adjacent lines;</li><li>use <code>function ... end</code> when a method definition contains more than one toplevel expression;</li><li>related short-form method definitions don&#39;t need a new line between them;</li><li>unrelated or long-form method definitions must have a blank line separating each one;</li><li>surround all binary operators with whitespace except for <code>::</code>, <code>^</code>, and <code>:</code>;</li><li>files containing a single <code>module ... end</code> must be named after the module;</li><li>method arguments should be ordered based on the amount of usage within the method body;</li><li>methods extended from other modules must follow their inherited argument order, not the above rule;</li><li>explicit <code>return</code> should be preferred except in short-form method definitions;</li><li>avoid dense expressions where possible e.g. prefer nested <code>if</code>s over complex nested <code>?</code>s;</li><li>include a trailing <code>,</code> in vectors, tuples, or method calls that span several lines;</li><li>do not use multiline comments (<code>#=</code> and <code>=#</code>);</li><li>wrap long lines as near to 92 characters as possible, this includes docstrings;</li><li>follow the standard naming conventions used in <code>Base</code>.</li></ul><h3 id="Markdown"><a class="docs-heading-anchor" href="#Markdown">Markdown</a><a id="Markdown-1"></a><a class="docs-heading-anchor-permalink" href="#Markdown" title="Permalink"></a></h3><ul><li>Use unbalanced <code>#</code> headers, i.e. no <code>#</code> on the right hand side of the header text;</li><li>include a single blank line between toplevel blocks;</li><li>unordered lists must use <code>*</code> bullets with two preceding spaces;</li><li>do <em>not</em> hard wrap lines;</li><li>use emphasis (<code>*</code>) and bold (<code>**</code>) sparingly;</li><li>always use fenced code blocks instead of indented blocks;</li><li>follow the conventions outlined in the Julia documentation page on documentation.</li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../listfunctions/">« List of functions</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 19 February 2024 17:10">Monday 19 February 2024</span>. 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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Creep laws · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li class="is-active"><a class="tocitem" href>Creep laws</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Implemented-creep-laws"><span>Implemented creep laws</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-for-creep-laws"><span>Computational routines for creep laws</span></a></li></ul></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Creep laws</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Creep laws</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/creeplaws.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="CreepLaws"><a class="docs-heading-anchor" href="#CreepLaws">CreepLaws</a><a id="CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#CreepLaws" title="Permalink"></a></h1><h1 id="Implemented-creep-laws"><a class="docs-heading-anchor" href="#Implemented-creep-laws">Implemented creep laws</a><a id="Implemented-creep-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-creep-laws" title="Permalink"></a></h1><p>The following viscous creep laws are implemented:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">LinearViscous(η=1e20Pa*s)</code></pre><p>Defines a linear viscous creeplaw </p><p>The (isotopic) linear viscous rheology is given by  </p><p class="math-container">\[    \tau_{ij} = 2 \eta \dot{\varepsilon}_{ij} \]</p><p>or</p><p class="math-container">\[    \dot{\varepsilon}_{ij}  = {\tau_{ij}  \over 2 \eta }\]</p><p>where <span>$\eta_0$</span> is the reference viscosity [Pa*s] at reference strain rate <span>$\dot{\varepsilon}_0$</span>[1/s], and <span>$n$</span> the power law exponent []. </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/CreepLaw/CreepLaw.jl#L80-L95">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)</code></pre><p>Defines a power law viscous creeplaw as: </p><p class="math-container">\[    \tau_{ij}^n  = 2 \eta_0 \left( \dot{\varepsilon}_{ij} \over \dot{\varepsilon}_0 \right)\]</p><p>where <span>$\eta$</span> is the effective viscosity [Pa*s].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/CreepLaw/CreepLaw.jl#L292-L301">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DislocationCreep(n = 1.0NoUnits, r = 0.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )</code></pre><p>Defines the flow law parameter of a dislocation creep law.</p><p>The (isotropic) dislocation creep law, as used by experimentalists, is given by  </p><p class="math-container">\[     \dot{\gamma} = A \sigma_\mathrm{d}^n f_\mathrm{H2O}^r \exp\left(-\frac{E+PV}{RT}\right)\]</p><p>where </p><ul><li><span>$n$</span> is the power law exponent  </li><li><span>$r$</span> is the exponent of fugacity dependence </li><li><span>$A$</span> is a pre-exponential factor <span>$[\mathrm{MPa}^{-n}s^{-1}]$</span> (if manually defined, <span>$n$</span> and <span>$r$</span> must be either pre-defined or substituted) </li><li><span>$E$</span> is the activation energy <span>$\mathrm{[kJ/mol]}$</span> </li><li><span>$V$</span> is the activation volume <span>$\mathrm{[m^3/mol]}$</span> </li><li><span>$\dot{\gamma}$</span> is the strain rate <span>$\mathrm{[1/s]}$</span> </li><li><span>$\sigma_\mathrm{d}$</span> is the differential stress <span>$\mathrm{[MPa]}$</span> which are converted into second invariants using the <code>Apparatus</code> variable that can be</li></ul><p>either <code>AxialCompression</code>, <code>SimpleShear</code> or <code>Invariant</code>. If the flow law parameters are already given as a function of second invariants, choose <code>Apparatus=Invariant</code>.</p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; x2 = DislocationCreep(n=3)
+DislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/CreepLaw/DislocationCreep.jl#L19-L43">source</a></section></article><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.SetDislocationCreep</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DiffusionCreep(r = 0NoUnits, p = A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )</code></pre><p>Defines the flow law parameter of a dislocation creep law.</p><p>The (isotropic) diffusion creep law, as used by experimentalists, is given by  </p><p class="math-container">\[     \dot{\gamma} = A \sigma_\mathrm{d} d^{\mathrm{p}} f_\mathrm{H2O}^r \exp\left(-\frac{E+PV}{RT}\right)\]</p><p>where </p><ul><li><span>$r$</span> is the exponent of fugacity dependence </li><li><span>$p$</span> is the exponent of grain size</li><li><span>$A$</span> is a pre-exponential factor <span>$[\mathrm{MPa}^{-n}s^{-1}]$</span> (if manually defined, <span>$n$</span> and <span>$r$</span> must be either pre-defined or substituted) </li><li><span>$E$</span> is the activation energy <span>$\mathrm{[kJ/mol]}$</span> </li><li><span>$V$</span> is the activation volume <span>$\mathrm{[m^3/mol]}$</span> </li><li><span>$\dot{\gamma}$</span> is the strain rate <span>$\mathrm{[1/s]}$</span> </li><li><span>$\sigma_\mathrm{d}$</span> is the differential stress <span>$\mathrm{[MPa]}$</span></li></ul><p>The experimental parameters are converted into second invariants using the <code>Apparatus</code> variable that can be either <code>AxialCompression</code>, <code>SimpleShear</code> or <code>Invariant</code>. If the flow law parameters are already given as a function of second invariants, choose <code>Apparatus=Invariant</code>.</p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; x2 = DiffusionCreep(Name=&quot;test&quot;)
+DiffusionCreep: Name = test, n=1.0, r=0.0, p=-3.0, A=1.5 m³·⁰ MPa⁻¹·⁰ s⁻¹·⁰, E=500.0 kJ mol⁻¹·⁰, V=2.4e-5 m³·⁰ mol⁻¹·⁰, FT=1.7320508075688772, FE=1.1547005383792517)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/CreepLaw/DiffusionCreep.jl#L23-L49">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetDiffusionCreep[&quot;Name of Diffusion Creep&quot;]</code></pre><p>This is a dictionary with pre-defined creep laws    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/CreepLaw/DiffusionCreep.jl#L338-L341">source</a></section></article><h1 id="Computational-routines-for-creep-laws"><a class="docs-heading-anchor" href="#Computational-routines-for-creep-laws">Computational routines for creep laws</a><a id="Computational-routines-for-creep-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines-for-creep-laws" title="Permalink"></a></h1><p>Once a creep rheology is defined, we can use the following routines to perform computations within the solvers</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>CreepLawVariables</code>. Check Documenter&#39;s build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_εII(a::DiffusionCreep, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)</code></pre><p>Returns diffusion creep strainrate as a function of 2nd invariant of the stress tensor <span>$\tau_{II}$</span> </p><p class="math-container">\[    \dot{ε}_{II} = A τ_{II}^n d^{p} f_{H_2O}^r \exp \left(- {{E + PV} \over RT} \right)\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/CreepLaw/DiffusionCreep.jl#L135-L144">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(a::GrainBoundarySliding, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)</code></pre><p>Returns grain boundary sliding strainrate as a function of 2nd invariant of the stress tensor <span>$\tau_{II}$</span> </p><p class="math-container">\[    \dot{ε}_{II} = A τ_{II}^n d^{p} \exp \left(- {{E + PV} \over RT} \right)  #ÄNDERN!!!!!!!!\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/CreepLaw/GrainBoundarySliding.jl#L127-L136">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(s::ConstantElasticity{_T}, τII; τII_old, dt)</code></pre><p>Computes elastic strainrate given the deviatoric stress at the current (<code>τII</code>) and old timestep (<code>τII_old</code>), for a timestep <code>dt</code>:</p><p class="math-container">\[    \dot{\varepsilon}^{el} = {1 \over 2 G} {D \tau_{II} \over Dt } ≈ {1 \over 2 G} {\tau_{II}- \tilde{\tau}_{II}^{old} \over dt }\]</p><p>Note that we here solve the scalar equation, which is sufficient for isotropic cases. In tensor form, it would be</p><p class="math-container">\[    {\dot{\varepsilon}^{el}}_{ij} = {1 \over 2 G} { \tau_{ij} - \tilde{{\tau_{ij}}}^{old} \over dt }\]</p><p>here <span>$\tilde{{\tau_{ij}}}^{old}$</span> is the rotated old deviatoric stress tensor to ensure objectivity (this can be done with Jaumann derivative, or also by using the full rotational formula).</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Elasticity/Elasticity.jl#L109-L123">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(p::DruckerPrager{_T,U,U1}, λdot::_T, τII::_T,  P)</code></pre><p>This computes plastic strain rate invariant for a given <span>$λdot$</span></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Plasticity/DruckerPrager.jl#L166-L170">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(p::DruckerPrager_regularised{_T,U,U1}, λdot::_T, τII::_T,  P)</code></pre><p>This computes plastic strain rate invariant for a given <span>$λdot$</span></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Plasticity/DruckerPrager_regularised.jl#L168-L172">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::Parallel{T,N}, τII, args; tol=1e-6, verbose=false, n=1)</code></pre><p>Computing <code>εII</code> as a function of <code>τII</code> for a Parallel elements is (usually) a nonlinear problem</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/CompositeRheologies/Parallel.jl#L49-L53">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::CompositeRheology{T,N}, τII, args; tol=1e-6, verbose=false, n=1)</code></pre><p>Computing <code>εII</code> as a function of <code>τII</code> for a composite element is the sum of the individual contributions</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/CompositeRheologies/CompositeRheology.jl#L76-L80">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII(v::AbstractPlasticity, τII::_T, args; tol=1e-6, verbose=true)</code></pre><p>Performs local iterations to compute the plastic strainrate. Note that the non-plastic strainrate, ε_np, should be part of <code>args</code></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/CompositeRheologies/NonlinearIterations.jl#L127-L131">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)</code></pre><p>Computes strainrate as a function of stress</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/CreepLaw/DiffusionCreep.jl#L171-L175">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)</code></pre><p>Computes strainrate as a function of stress</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/CreepLaw/GrainBoundarySliding.jl#L164-L168">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, s::LinearMeltViscosity, TauII::AbstractArray{_T,N}; T, kwargs...)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/CreepLaw/MeltViscosity.jl#L64-L66">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, s::ViscosityPartialMelt_Costa_etal_2009, TauII::AbstractArray{_T,N}; T, kwargs...)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/CreepLaw/MeltViscosity.jl#L216-L218">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, s::LinearViscous, TauII::AbstractArray{_T,N})</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/CreepLaw/CreepLaw.jl#L113-L116">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(EpsII::AbstractArray{_T,N}, s::ArrheniusType, TauII::AbstractArray{_T,N})</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/CreepLaw/CreepLaw.jl#L225-L228">source</a></section><section><div><pre><code class="nohighlight hljs">compute_εII!(ε_el::AbstractArray{_T,N}, s::ConstantElasticity{_T}; τII::AbstractArray{_T,N}, τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)</code></pre><p>In-place computation of the elastic shear strainrate for given deviatoric stress invariants at the previous (<code>τII_old</code>) and new (<code>τII</code>) timestep, as well as the timestep <code>dt</code>  </p><p class="math-container">\[    \dot{\varepsilon}^{el} = {1 \over 2 G} {D \tau_{II} \over Dt } ≈ {1 \over 2 G} {\tau_{II}- \tau_{II}^{old} \over dt }\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Elasticity/Elasticity.jl#L153-L162">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_τII(a::DislocationCreep, EpsII; P, T, f, args...)</code></pre><p>Computes the stress for a Dislocation creep law given a certain strain rate</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/CreepLaw/DislocationCreep.jl#L190-L195">source</a></section><section><div><pre><code class="nohighlight hljs">computeCreepLaw_TauII(EpsII::_T, a::DiffusionCreep; T::_T, P=zero(_T), f=one(_T), d=one(_T), kwargs...)</code></pre><p>Returns diffusion creep stress as a function of 2nd invariant of the strain rate </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/CreepLaw/DiffusionCreep.jl#L228-L232">source</a></section><section><div><pre><code class="nohighlight hljs">computeCreepLaw_TauII(EpsII::_T, a::GrainBoundarySliding; T::_T, P=zero(_T), d=one(_T), kwargs...)</code></pre><p>Returns grain boundary sliding stress as a function of 2nd invariant of the strain rate </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/CreepLaw/GrainBoundarySliding.jl#L210-L214">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(a::PeierlsCreep, EpsII; P, T, f, args...)</code></pre><p>Computes the stress for a peierls creep law given a certain strain rate.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/CreepLaw/PeierlsCreep.jl#L158-L163">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(s::LinearMeltViscosity, EpsII; kwargs...)</code></pre><p>Returns second invariant of the stress tensor given a 2nd invariant of strain rate tensor</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/CreepLaw/MeltViscosity.jl#L95-L99">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(s::ViscosityPartialMelt_Costa_etal_2009, EpsII; kwargs...)</code></pre><p>Returns second invariant of the stress tensor given a 2nd invariant of strain rate tensor</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/CreepLaw/MeltViscosity.jl#L234-L238">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(s::LinearViscous, EpsII; kwargs...)</code></pre><p>Returns second invariant of the stress tensor given a 2nd invariant of strain rate tensor </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/CreepLaw/CreepLaw.jl#L139-L143">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII(s::ArrheniusType, EpsII; kwargs...)</code></pre><p>Returns second invariant of the stress tensor given a 2nd invariant of strain rate tensor </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/CreepLaw/CreepLaw.jl#L249-L253">source</a></section><section><div><pre><code class="nohighlight hljs">τII = compute_τII(v::CompositeRheology{T,N}, εII, args; tol=1e-6, verbose=false)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/CompositeRheologies/CompositeRheology.jl#L208-L211">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_τII!(TauII::AbstractArray{_T,N}, a::DislocationCreep, EpsII::AbstractArray{_T,N}; 
+    P =       zero(TauII)::AbstractArray{_T,N}, 
+    T = ones(size(TauII))::AbstractArray{_T,N}, 
+    f = ones(size(TauII))::AbstractArray{_T,N})</code></pre><p>Computes the deviatoric stress invariant for a dislocation creep law</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/CreepLaw/DislocationCreep.jl#L228-L235">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII!(TauII::AbstractArray{_T,N}, a::PeierlsCreep, EpsII::AbstractArray{_T,N}; 
+    T = ones(size(TauII))::AbstractArray{_T,N}, args...)</code></pre><p>Computes the deviatoric stress invariant for a peierls creep law.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/CreepLaw/PeierlsCreep.jl#L191-L197">source</a></section><section><div><pre><code class="nohighlight hljs">compute_τII!(τII::AbstractArray{_T,N}, s::ConstantElasticity{_T}. ε_el::AbstractArray{_T,N}; τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)</code></pre><p>In-place update of the elastic stress for given deviatoric strainrate invariants and stres invariant at the old (<code>τII_old</code>) timestep, as well as the timestep <code>dt</code>  </p><p class="math-container">\[    \tau_{II} = 2 G dt \dot{\varepsilon}^{el} + \tau_{II}^{old}\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Elasticity/Elasticity.jl#L177-L186">source</a></section></article><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.CorrectionFactor</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.RemoveTensorCorrection</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../density/">« Density</a><a class="docs-footer-nextpage" href="../customrheology/">Custom rheology »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 19 February 2024 17:10">Monday 19 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li class="is-active"><a class="tocitem" href>Custom rheology</a><ul class="internal"><li><a class="tocitem" href="#User-defined-rheology"><span><code>User-defined rheology</code></span></a></li><li><a class="tocitem" href="#Example:-Arrhenious-type-rheology"><span>Example: Arrhenious-type rheology</span></a></li></ul></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Custom rheology</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Custom rheology</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/customrheology.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h2 id="User-defined-rheology"><a class="docs-heading-anchor" href="#User-defined-rheology"><code>User-defined rheology</code></a><a id="User-defined-rheology-1"></a><a class="docs-heading-anchor-permalink" href="#User-defined-rheology" title="Permalink"></a></h2><p><code>CustomRheology</code> allows the user to interface with <code>GeoParams.jl</code> API for rheology calculations: </p><pre><code class="language-julia hljs">struct CustomRheology{F1, F2, T} &lt;: AbstractCreepLaw
+    strain::F1
+    stress::F2
+    args::T
+end</code></pre><p>where <code>strain</code> and <code>stress</code> are functions that compute the strain rate and deviatoric stress tensors, respectively, and <code>args</code> is a <code>NamedTuple</code> containing any constant (i.e. <strong>immutable</strong>) physical parameters needed by our <code>CustomRheology</code>. </p><h2 id="Example:-Arrhenious-type-rheology"><a class="docs-heading-anchor" href="#Example:-Arrhenious-type-rheology">Example: Arrhenious-type rheology</a><a id="Example:-Arrhenious-type-rheology-1"></a><a class="docs-heading-anchor-permalink" href="#Example:-Arrhenious-type-rheology" title="Permalink"></a></h2><p>The deviatoric stress <span>$\tau_{ij}$</span> and strain rate tensors <span>$\dot{\varepsilon}_{ij}$</span> are simply <span>$\tau_{ij} = 2 \eta \dot{\varepsilon}_{ij}$</span> and <span>$\dot{\varepsilon}_{ij}  = {\tau_{ij}  \over 2 \eta}$</span></p><p>and the viscosity <span>$\eta$</span> is temperature-dependant     <span>$\eta = \eta_{0}  \exp\left(\frac{E}{T+T_{o}}-\frac{E}{T_{\eta}+T_{o}}\right)$</span></p><p>where <span>$\eta_0$</span> and <span>$T_{\eta}$</span> are the respective reference viscosity and temperature, <span>$T_o$</span> is the offset temperature, <span>$T$</span> is the local temperature, and <span>$E$</span> is activation energy. </p><p>Before defining the functions to compute <span>$\tau$</span> and <span>$\dot{\varepsilon}$</span>, it is convenient to define a helper function to compute the viscosity:</p><pre><code class="language-julia hljs">@inline function custom_viscosity(
+    a::CustomRheology; T = 0.0, kwargs...
+)
+    (; η0, E, To, Tη) = a.args
+    η = η0 * exp(E / (T + To) - E / (Tη + To))
+    return  η
+end</code></pre><p>Then we just need to define two simple functions to compue the second invariants of <span>$\tau_{ij}$</span> and <span>$\dot{\varepsilon}_{ij}$</span>:</p><pre><code class="language-julia hljs"># function to compute deviatoric stress
+@inline function custom_τII(
+    a::CustomRheology, EpsII; kwargs...
+)
+    η = custom_viscosity(a; kwargs...)
+    return 2.0 * (η * EpsII)
+end
+
+# function to compute strain rate
+@inline function custom_εII(
+    a::CustomRheology, TauII; kwargs...
+)
+    η = custom_viscosity(a; kwargs...)
+    return (TauII / η) * 0.5
+end</code></pre><p>Note that the key word argument <code>kwargs...</code> is needed in all the above functions for compatibility with <code>GeoParams.jl</code>. </p><p>Finally, we need a <code>NamedTuple</code> containing the physical parameters needed by <code>custom_τII</code> and <code>custom_εII</code>:</p><pre><code class="language-julia hljs"># constant parameters, these are typically wrapped into a struct (compulsory)
+parameters = (;
+    η0 = 1.0,
+    E = 23.03,
+    To = 1.0,
+    Tη = 1.0,
+)</code></pre><p>Then the <code>CustomRheology</code> object is created</p><pre><code class="language-julia hljs">a = CustomRheology(custom_εII, custom_τII, parameters)</code></pre><p>Now we can use our new rheology object with <code>GeoParams.jl</code> methods:</p><pre><code class="language-julia-repl hljs">julia&gt; args = (; T=0.5)
+(T = 0.5,)
+
+julia&gt; τII, εII = 1.5,  0.5
+(1.5, 0.5)
+
+julia&gt; ε = compute_εII(v, τII, args)
+0.016147090412110487
+
+julia&gt; τ = compute_τII(v, εII, args)
+46.44799656521971
+
+julia&gt; dεdτ = dεII_dτII(v, τII, args)
+0.010764726941406991
+
+julia&gt; dτdε = dτII_dεII(v, εII, args)
+92.89599313043942</code></pre><p>And also works for composite rheologies:</p><pre><code class="language-julia-repl hljs">julia&gt; el = ConstantElasticity(; G=1.0)
+Linear elasticity with shear modulus: G = 1.0, Poisson&#39;s ratio: ν = 0.5, bulk modulus: Kb = Inf and Young&#39;s module: E=NaN
+
+julia&gt; c = CompositeRheology(v, el)
+--?????----/\/\/--
+
+julia&gt; args = (; dt=Inf, T=0.5)
+(dt = Inf, T = 0.5)
+
+julia&gt; ε = compute_εII(c, τII, args)
+0.016147090412110487
+
+julia&gt; τ = compute_τII(c, εII, args)
+46.44799656521971</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../creeplaws/">« Creep laws</a><a class="docs-footer-nextpage" href="../viscosity/">Viscosity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 19 February 2024 17:10">Monday 19 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.7/man/density/index.html b/v0.5.7/man/density/index.html
new file mode 100644
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--- /dev/null
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@@ -0,0 +1,48 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Density · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li class="is-active"><a class="tocitem" href>Density</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Density</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Density</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/density.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Density"><a class="docs-heading-anchor" href="#Density">Density</a><a id="Density-1"></a><a class="docs-heading-anchor-permalink" href="#Density" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>The density equation of state can be specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.ConstantDensity" href="#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantDensity(ρ=2900kg/m^3)</code></pre><p>Set a constant density:</p><p class="math-container">\[    \rho  = cst\]</p><p>where <span>$\rho$</span> is the density [<span>$kg/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Density/Density.jl#L42-L50">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.PT_Density" href="#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)</code></pre><p>Set a pressure and temperature-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 (1.0 - \alpha (T-T_0) + \beta  (P-P_0) )\]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference temperature <span>$T_0$</span> and pressure <span>$P_0$</span>, <span>$\alpha$</span> is the temperature dependence of density and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Density/Density.jl#L85-L94">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.T_Density" href="#GeoParams.MaterialParameters.Density.T_Density"><code>GeoParams.MaterialParameters.Density.T_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_Density(ρ0=2900kg/m^3, α=3e-5/K, T₀=273.15K)</code></pre><p>Set a temperature-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 (1 - \alpha * (T - T\_0) )\]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference temperature <span>$T_0$</span> and <span>$\alpha$</span> the temperature dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Density/Density.jl#L183-L191">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.Compressible_Density" href="#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)</code></pre><p>Set a pressure-dependent density:</p><p class="math-container">\[    \rho  = \rho_0 \exp(β*(P - P\_0))\]</p><p>where <span>$\rho_0$</span> is the density [<span>$kg/m^3$</span>] at reference pressure <span>$P_0$</span> and <span>$\beta$</span> the pressure dependence.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Density/Density.jl#L139-L147">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.MeltDependent_Density" href="#GeoParams.MaterialParameters.Density.MeltDependent_Density"><code>GeoParams.MaterialParameters.Density.MeltDependent_Density</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltDependent_Density(ρsolid=ConstantDensity(), ρmelt=ConstantDensity())</code></pre><p>If we use a single phase code the average density of a partially molten rock is</p><p class="math-container">\[    \rho  = \phi \rho_{\textrm{melt}} + (1-\phi) \rho_{\textrm{solid}}\]</p><p>where <span>$\rho$</span> is the average density [<span>$kg/m^3$</span>], <span>$\rho_{	extrm{melt}}$</span> the melt density, <span>$\rho_{	extrm{solid}}$</span> the solid density and <span>$\phi$</span> the melt fraction.</p><p>Note that any density formulation can be used for melt and solid.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Density/Density.jl#L227-L237">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To evaluate density within a user routine, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density" href="#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_density(P,T, s::PhaseDiagram_LookupTable)</code></pre><p>Interpolates density as a function of <code>T,P</code> from a lookup table</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Density/Density.jl#L282-L285">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Density.compute_density!" href="#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I&lt;:Integer}</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; MatParam = (SetMaterialParams(Name=&quot;Mantle&quot;, Phase=1,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                        Density   = PT_Density()
+                        ),
+                    SetMaterialParams(Name=&quot;Crust&quot;, Phase=2,
+                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),
+                        Density   = ConstantDensity(ρ=2900kg/m^3))
+                  );
+julia&gt; Phases = ones(Int64,400,400);
+julia&gt; Phases[:,20:end] .= 2
+julia&gt; rho     = zeros(size(Phases))
+julia&gt; T       =  ones(size(Phases))
+julia&gt; P       =  ones(size(Phases))*10
+julia&gt; args = (P=P, T=T)
+julia&gt; compute_density!(rho, MatParam, Phases, args)
+julia&gt; rho
+400×400 Matrix{Float64}:
+2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0
+ 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0</code></pre><p>The routine is made to minimize allocations:</p><pre><code class="language-julia hljs">julia&gt; using BenchmarkTools
+julia&gt; @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)
+    203.468 μs (0 allocations: 0 bytes)</code></pre><p>_____________________________________________________________________________________________________________________________</p><pre><code class="nohighlight hljs">compute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)</code></pre><p>In-place computation of density <code>rho</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>PhaseRatio</code> of every point is specified as an Integer in the <code>PhaseRatios</code> array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Density/Density.jl#L305-L370">source</a></section></article><p>Note that density values are usually not used in itself in the governing PDE&#39;s, but usually in combination with other parameters, such as <span>$\rho g$</span> or <span>$\rho c_p$</span>. the non-dimensional value of <span>$\rho$</span> may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../materialparameters/">« Material Parameters</a><a class="docs-footer-nextpage" href="../creeplaws/">Creep laws »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 19 February 2024 17:10">Monday 19 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.7/man/elasticity/index.html b/v0.5.7/man/elasticity/index.html
new file mode 100644
index 000000000..b7bf71316
--- /dev/null
+++ b/v0.5.7/man/elasticity/index.html
@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Elasticity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li class="is-active"><a class="tocitem" href>Elasticity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Implemented-laws"><span>Implemented laws</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Elasticity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Elasticity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/elasticity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Elasticity"><a class="docs-heading-anchor" href="#Elasticity">Elasticity</a><a id="Elasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Elasticity" title="Permalink"></a></h1><p>Elasticity is, in geodynamics, often used in combination with viscous and plastic rheology.</p><h1 id="Implemented-laws"><a class="docs-heading-anchor" href="#Implemented-laws">Implemented laws</a><a id="Implemented-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-laws" title="Permalink"></a></h1><p>We provide the following elastic constitutive relationships:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantElasticity(G, ν, K, E)</code></pre><p>Structure that holds parameters for constant, isotropic, linear elasticity.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Elasticity/Elasticity.jl#L29-L33">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity" href="#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetConstantElasticity(; G=nothing, ν=nothing, E=nothing, Kb=nothing)</code></pre><p>This allows setting elastic parameters by specifying 2 out of the 4 elastic parameters <code>G</code> (Elastic shear modulus), <code>ν</code> (Poisson&#39;s ratio), <code>E</code> (Young&#39;s modulus), or <code>Kb</code> (bulk modulus).</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Elasticity/Elasticity.jl#L45-L49">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>We can compute the elastic strainrate with:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_εII</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_εII!</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../viscosity/">« Viscosity</a><a class="docs-footer-nextpage" href="../plasticity/">Plasticity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 19 February 2024 17:10">Monday 19 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.7/man/geounit/index.html b/v0.5.7/man/geounit/index.html
new file mode 100644
index 000000000..2ed363c7e
--- /dev/null
+++ b/v0.5.7/man/geounit/index.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>GeoUnit · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li class="is-active"><a class="tocitem" href>GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>GeoUnit</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>GeoUnit</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/geounit.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="GeoUnit"><a class="docs-heading-anchor" href="#GeoUnit"><code>GeoUnit</code></a><a id="GeoUnit-1"></a><a class="docs-heading-anchor-permalink" href="#GeoUnit" title="Permalink"></a></h1><p>Most parameters have physical units (100km, 9.81 ms⁻²). Yet, within numerical solvers it is usually not a good idea to compute with the actual SI units as they (at least in geosciences) tend to result in very large/small numbers, which can cause in roundoff errors.  Therefore, we usually convert the dimensional units into non-dimensional ones befeore starting computations. The results can than be converted back to more convenient units for us when we generate the output (plots, for example).</p><p>This requires a way to store the dimensions of a parameter, but also, once they are made nondimensional, the original units (otherwise we can&#39;t convert them back to dimensional values).</p><p>For that reason, we use the <code>GeoUnit</code> structure, defined as </p><pre><code class="language-julia hljs">struct GeoUnit{T,U}
+    val          :: T
+    unit         :: U
+    isdimensional:: Bool
+end</code></pre><p>You can define a GeoUnit as:</p><pre><code class="language-julia hljs">julia&gt; a = GeoUnit(100km)
+GeoUnit{dimensional, km}, 
+100.0
+julia&gt; b=GeoUnit(100s)
+GeoUnit{dimensional, s}, 
+100.0</code></pre><p>Dividing the two gives the expected result</p><pre><code class="language-julia hljs">julia&gt; c=a/b
+GeoUnit{dimensional, km s⁻¹·⁰}, 
+1.0</code></pre><p>Can also be a vector:</p><pre><code class="language-julia hljs">julia&gt; T = GeoUnit(100K:10.0K:1000K)
+GeoUnit{dimensional, K}, 
+100.0:10.0:1000.0</code></pre><p>The numerical value is obtained with:</p><pre><code class="language-julia hljs">julia&gt; NumValue(c)
+1.0</code></pre><p>It&#39;s unit with</p><pre><code class="language-julia hljs">julia&gt; Unit(c)
+km s⁻¹·⁰</code></pre><p>and the value with unit with</p><pre><code class="language-julia hljs">julia&gt; Value(c)
+1.0 km s⁻¹·⁰</code></pre><p>If you multiply or divide a <code>GeoUnit</code> with a normal number, we assume that you are no longer interested in the units and you&#39;ll get a Float64:</p><pre><code class="language-julia hljs">julia&gt; c*100
+100.0</code></pre><p>The value of the <code>GeoUnit</code> struct becomes clear once we non-dimensionalize it (as explained in more detail in a separate page). For that, first specify which characteristic values you want to use for non-dimensionalisation: </p><pre><code class="language-julia hljs">julia&gt; CharDim = GEO_units(length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas);</code></pre><p>Let&#39;s define a stress:</p><pre><code class="language-julia hljs">julia&gt; σ=GeoUnit(10MPa)
+GeoUnit{dimensional, MPa}, 
+10.0</code></pre><p>And transfer it to nondimensional units:</p><pre><code class="language-julia hljs">julia&gt; σ_nd = nondimensionalize(σ,CharDim)
+GeoUnit{nondimensional, MPa}, 
+0.9999999999999998</code></pre><p>Instead of 1e7 Pa, we now have 1.0; yet at the same time we know that the original unit of σ_nd was in MPa, which allows to transfer it back to dimensional units:</p><pre><code class="language-julia hljs">julia&gt; dimensionalize(σ_nd,CharDim)
+GeoUnit{dimensional, MPa}, 
+10.0</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../">« Home</a><a class="docs-footer-nextpage" href="../nondimensionalize/">Nondimensionalization »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 19 February 2024 17:10">Monday 19 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.7/man/gravity/index.html b/v0.5.7/man/gravity/index.html
new file mode 100644
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Gravity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li class="is-active"><a class="tocitem" href>Gravity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Gravity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Gravity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/gravity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Gravitational-acceleration"><a class="docs-heading-anchor" href="#Gravitational-acceleration">Gravitational acceleration</a><a id="Gravitational-acceleration-1"></a><a class="docs-heading-anchor-permalink" href="#Gravitational-acceleration" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Gravitational acceleration is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">GravityConstant(g=9.81m/s^2)</code></pre><p>Set a constant value for the gravitational acceleration:</p><p class="math-container">\[    g  = 9.81 m s^{-2}\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/GravitationalAcceleration/GravitationalAcceleration.jl#L18-L25">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity" href="#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a> — <span class="docstring-category">Function</span></header><section><div><p>compute_gravity(s:&lt;AbstractGravity)</p><p>Returns the gravitational acceleration </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/GravitationalAcceleration/GravitationalAcceleration.jl#L61-L66">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../shearheating/">« Shear heating</a><a class="docs-footer-nextpage" href="../melting/">Partial Melting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 19 February 2024 17:10">Monday 19 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.7/man/heatcapacity/index.html b/v0.5.7/man/heatcapacity/index.html
new file mode 100644
index 000000000..7d6d070c5
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+++ b/v0.5.7/man/heatcapacity/index.html
@@ -0,0 +1,18 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Heat Capacity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li class="is-active"><a class="tocitem" href>Heat Capacity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Heat Capacity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Heat Capacity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/heatcapacity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Heat-capacity"><a class="docs-heading-anchor" href="#Heat-capacity">Heat capacity</a><a id="Heat-capacity-1"></a><a class="docs-heading-anchor-permalink" href="#Heat-capacity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Heat capacity is defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity" href="#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantHeatCapacity(Cp=1050J/mol/kg)</code></pre><p>Set a constant heat capacity:</p><p class="math-container">\[    Cp  = cst\]</p><p>where <span>$Cp$</span> is the thermal heat capacity [<span>$J/kg/K$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Energy/HeatCapacity.jl#L27-L35">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington" href="#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">T_HeatCapacity_Whittington()</code></pre><p>Sets a temperature-dependent heat capacity following the parameterization of Whittington et al. (2009), Nature:</p><p class="math-container">\[    Cp = (a + b T - c/T^2)/m\]</p><p>where <span>$Cp$</span> is the heat capacity [<span>$J/kg/K$</span>], and <span>$a,b,c$</span> are parameters that dependent on the temperature <span>$T$</span> [<span>$K$</span>]:</p><ul><li>a = 199.50 J/mol/K    if T&lt;= 846 K</li><li>a = 199.50 J/mol/K    if T&gt; 846 K</li><li>b = 0.0857J/mol/K^2   if T&lt;= 846 K</li><li>b = 0.0323J/mol/K^2   if T&gt; 846 K</li><li>c = 5e6J/mol*K        if T&lt;= 846 K</li><li>c = 47.9e-6J/mol*K    if T&gt; 846 K</li><li>molmass =   0.22178kg/mol</li></ul><p>Note that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than <span>$J/mol/K$</span> as in eq.3/4 of the paper)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Energy/HeatCapacity.jl#L58-L76">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">Cp = compute_heatcapacity(s:&lt;AbstractHeatCapacity, P, T)</code></pre><p>Returns the heat capacity <code>Cp</code> at any temperature <code>T</code> and pressure <code>P</code> using any of the heat capacity laws implemented.</p><p>Currently available:</p><ul><li>ConstantHeatCapacity</li><li>T_HeatCapacity_Whittington</li><li>Latent_HeatCapacity</li></ul><p><strong>Example</strong></p><p>Using dimensional units</p><pre><code class="language-julia hljs">julia&gt; T = 250.0:100:1250
+julia&gt; Cp2 = T_HeatCapacity_Whittington()
+julia&gt; Cp = similar(T)
+julia&gt; args = (; T=T)
+julia&gt; Cp =compute_heatcapacity!(Cp, Cp2, args)
+11-element Vector nitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:
+635.4269997294616 J kg⁻¹ K⁻¹
+850.7470171764261 J kg⁻¹ K⁻¹
+962.0959598489883 J kg⁻¹ K⁻¹
+1037.542043377064 J kg⁻¹ K⁻¹
+1097.351792196648 J kg⁻¹ K⁻¹
+1149.274556367170 J kg⁻¹ K⁻¹
+1157.791505094840 J kg⁻¹ K⁻¹
+1172.355487419726 J kg⁻¹ K⁻¹
+1186.919469744596 J kg⁻¹ K⁻¹
+1201.483452069455 J kg⁻¹ K⁻¹
+1216.0474343943067 J kg⁻¹ K⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Energy/HeatCapacity.jl#L203-L236">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!" href="#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_heatcapacity!(Cp::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat})</code></pre><p>In-place computation of heat capacity <code>Cp</code> for the whole domain and all phases, in case a vector with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This assumes that the <code>Phase</code> of every point is specified as an Integer in the <code>Phases</code> array.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Energy/HeatCapacity.jl#L258-L263">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plasticity/">« Plasticity</a><a class="docs-footer-nextpage" href="../conductivity/">Conductivity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 19 February 2024 17:10">Monday 19 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.7/man/latentheat/index.html b/v0.5.7/man/latentheat/index.html
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@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Latent heat · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li class="is-active"><a class="tocitem" href>Latent heat</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Latent heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Latent heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/latentheat.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Latent-heat"><a class="docs-heading-anchor" href="#Latent-heat">Latent heat</a><a id="Latent-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Latent-heat" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Latent heat (of crystallisation) can be implemented as a source term (usually numerically not very stable):</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat" href="#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantLatentHeat(Q_L=400kJ/kg)</code></pre><p>Set a constant latent heat:</p><p class="math-container">\[    Q_L  = cst\]</p><p>where <span>$Q_L$</span> is the latent heat [<span>$J/kg$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Energy/LatentHeat.jl#L27-L35">source</a></section></article><p>Alternatively, you can implement it by modifying the heat capacity, which is often numerically better.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.HeatCapacity.Latent_HeatCapacity" href="#GeoParams.MaterialParameters.HeatCapacity.Latent_HeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.Latent_HeatCapacity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Latent_HeatCapacity(Cp=ConstantHeatCapacity(), Q_L=400kJ/kg)</code></pre><p>This takes the effects of latent heat into account by modifying the heat capacity in the temperature equation:</p><p class="math-container">\[\rho C_p^{\textrm{new}} \frac{\partial T}{\partial t}  = \frac{\partial }{\partial x_i} \left( k \frac{\partial T}{\partial x_i} \right)  + H_s\]</p><p>with</p><p class="math-container">\[C_p^{\textrm{new}}  = C_p + \frac{\partial \phi}{\partial T} Q_L\]</p><p>where <span>$Q_L$</span> is the latent heat [<span>$J/kg$</span>], and <span>$\frac{\partial \phi}{\partial T}$</span> is the derivative of the melt fraction with respect to temperature</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Energy/HeatCapacity.jl#L117-L132">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute with the source term, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.LatentHeat.compute_latent_heat</code>. Check Documenter&#39;s build log for details.</p></div></div><p>If you modify the heat capacity, you simply use this in your thermal computations: To compute with the source term, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>compute_heatcapacity</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../conductivity/">« Conductivity</a><a class="docs-footer-nextpage" href="../radioactiveheating/">Radioactive heat »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 19 February 2024 17:10">Monday 19 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.7/man/listfunctions/index.html b/v0.5.7/man/listfunctions/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>List of functions · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li class="is-active"><a class="tocitem" href>List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>List of functions</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>List of functions</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/listfunctions.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="List-of-all-functions"><a class="docs-heading-anchor" href="#List-of-all-functions">List of all functions</a><a id="List-of-all-functions-1"></a><a class="docs-heading-anchor-permalink" href="#List-of-all-functions" title="Permalink"></a></h1><p>This page details the some of the guidelines that should be followed when contributing to this package.</p><ul><li><a href="../nondimensionalize/#GeoParams.Units"><code>GeoParams.Units</code></a></li><li><a href="../strengthenvelope/#GeoParams.ConstTemp"><code>GeoParams.ConstTemp</code></a></li><li><a href="../strengthenvelope/#GeoParams.HalfspaceCoolTemp"><code>GeoParams.HalfspaceCoolTemp</code></a></li><li><a href="../strengthenvelope/#GeoParams.LinTemp"><code>GeoParams.LinTemp</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity"><code>GeoParams.MaterialParameters.Conductivity.ConstantConductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised"><code>GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.Compressible_Density"><code>GeoParams.MaterialParameters.Density.Compressible_Density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.ConstantDensity"><code>GeoParams.MaterialParameters.Density.ConstantDensity</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.MeltDependent_Density"><code>GeoParams.MaterialParameters.Density.MeltDependent_Density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.PT_Density"><code>GeoParams.MaterialParameters.Density.PT_Density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.T_Density"><code>GeoParams.MaterialParameters.Density.T_Density</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity</code></a></li><li><a href="../latentheat/#GeoParams.MaterialParameters.HeatCapacity.Latent_HeatCapacity"><code>GeoParams.MaterialParameters.HeatCapacity.Latent_HeatCapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington"><code>GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington</code></a></li><li><a href="../latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat"><code>GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a></li><li><a href="../phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a></li><li><a href="../radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_4thOrder"><code>GeoParams.MeltingParam.MeltingParam_4thOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_5thOrder"><code>GeoParams.MeltingParam.MeltingParam_5thOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Assimilation"><code>GeoParams.MeltingParam.MeltingParam_Assimilation</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Quadratic"><code>GeoParams.MeltingParam.MeltingParam_Quadratic</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.MeltingParam_Smooth3rdOrder"><code>GeoParams.MeltingParam.MeltingParam_Smooth3rdOrder</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.SmoothMelting"><code>GeoParams.MeltingParam.SmoothMelting</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.TASclassificationData"><code>GeoParams.TASclassification.TASclassificationData</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.ZirconAgeData"><code>GeoParams.ZirconAges.ZirconAgeData</code></a></li><li><a href="../strengthenvelope/#GeoParams.CompTempStruct"><code>GeoParams.CompTempStruct</code></a></li><li><a href="../strengthenvelope/#GeoParams.LithPres"><code>GeoParams.LithPres</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity"><code>GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity</code></a></li><li><a href="../conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!"><code>GeoParams.MaterialParameters.Conductivity.compute_conductivity!</code></a></li><li><a href="../elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII</code></a></li><li><a href="../creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!"><code>GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density"><code>GeoParams.MaterialParameters.Density.compute_density</code></a></li><li><a href="../density/#GeoParams.MaterialParameters.Density.compute_density!"><code>GeoParams.MaterialParameters.Density.compute_density!</code></a></li><li><a href="../gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity"><code>GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity</code></a></li><li><a href="../heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!"><code>GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!</code></a></li><li><a href="../seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction</code></a></li><li><a href="../materialparameters/#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a></li><li><a href="../shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_dϕdT"><code>GeoParams.MeltingParam.compute_dϕdT</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_dϕdT!"><code>GeoParams.MeltingParam.compute_dϕdT!</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a></li><li><a href="../melting/#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a></li><li><a href="../phasediagrams/#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a></li><li><a href="../strengthenvelope/#GeoParams.StrengthEnvelopeComp"><code>GeoParams.StrengthEnvelopeComp</code></a></li><li><a href="../strengthenvelope/#GeoParams.StrengthEnvelopePlot"><code>GeoParams.StrengthEnvelopePlot</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.computeTASclassification"><code>GeoParams.TASclassification.computeTASclassification</code></a></li><li><a href="../TASclassification/#GeoParams.TASclassification.retrieveTASrockType"><code>GeoParams.TASclassification.retrieveTASrockType</code></a></li><li><a href="../tables/#GeoParams.Tables.Dict2LatexTable"><code>GeoParams.Tables.Dict2LatexTable</code></a></li><li><a href="../tables/#GeoParams.Tables.Dict2MarkdownTable"><code>GeoParams.Tables.Dict2MarkdownTable</code></a></li><li><a href="../tables/#GeoParams.Tables.ParameterTable"><code>GeoParams.Tables.ParameterTable</code></a></li><li><a href="../tables/#GeoParams.Tables.Phase2Dict"><code>GeoParams.Tables.Phase2Dict</code></a></li><li><a href="../tables/#GeoParams.Tables.Phase2DictMd"><code>GeoParams.Tables.Phase2DictMd</code></a></li><li><a href="../tables/#GeoParams.Tables.detachFloatfromExponent"><code>GeoParams.Tables.detachFloatfromExponent</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.compute_zircon_age_PDF"><code>GeoParams.ZirconAges.compute_zircon_age_PDF</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.compute_zircons_Ttpath"><code>GeoParams.ZirconAges.compute_zircons_Ttpath</code></a></li><li><a href="../zirconages/#GeoParams.ZirconAges.zircon_age_PDF"><code>GeoParams.ZirconAges.zircon_age_PDF</code></a></li><li><a href="../viscosity/#GeoParams.compute_viscosity_εII"><code>GeoParams.compute_viscosity_εII</code></a></li><li><a href="../viscosity/#GeoParams.compute_viscosity_τII"><code>GeoParams.compute_viscosity_τII</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a></li><li><a href="../nondimensionalize/#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a></li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plotting/">« Plotting</a><a class="docs-footer-nextpage" href="../contributing/">Contributing »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 19 February 2024 17:10">Monday 19 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Material Parameters · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li class="is-active"><a class="tocitem" href>Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Material Parameters</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Material Parameters</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/materialparameters.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="MaterialParameters"><a class="docs-heading-anchor" href="#MaterialParameters">MaterialParameters</a><a id="MaterialParameters-1"></a><a class="docs-heading-anchor-permalink" href="#MaterialParameters" title="Permalink"></a></h1><p>Material properties for a given phase can be set with <code>SetMaterialParams</code>, whereas all properties are  stored in the <code>MaterialParams</code> structure. Information about the material parameter is found at <code>MaterialParamsInfo</code>. This can be employed </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParamsInfo" href="#GeoParams.MaterialParameters.MaterialParamsInfo"><code>GeoParams.MaterialParameters.MaterialParamsInfo</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MaterialParamsInfo</code></pre><p>Structure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.</p><p>Usually used in combination with <code>param_info(the_parameter_of_interest)</code></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/MaterialParameters.jl#L25-L33">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SetMaterialParams" href="#GeoParams.MaterialParameters.SetMaterialParams"><code>GeoParams.MaterialParameters.SetMaterialParams</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SetMaterialParams(; Name::String=&quot;&quot;, Phase::Int64=1,
+                    Density             =   nothing, 
+                    Gravity             =   nothing,
+                    CreepLaws           =   nothing, 
+                    Elasticity          =   nothing, 
+                    Plasticity          =   nothing, 
+                    CompositeRheology   =   nothing,
+                    Conductivity        =   nothing, 
+                    HeatCapacity        =   nothing, 
+                    RadioactiveHeat     =   nothing,
+                    LatentHeat          =   nothing,
+                    ShearHeat           =   nothing,
+                    Melting             =   nothing,
+                    SeismicVelocity     =   nothing,
+                    CharDim::GeoUnits   =   nothing)</code></pre><p>Sets material parameters for a given phase. </p><p>If <code>CharDim</code> is specified the input parameters are non-dimensionalized.   Note that if <code>Density</code> is specified, we also set <code>Gravity</code> even if not explicitly listed</p><p><strong>Examples</strong></p><p>Define two viscous creep laws &amp; constant density:</p><pre><code class="language-julia-repl hljs">julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;,
+                       Density   = ConstantDensity(),
+                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))
+Phase 1 : Viscous Matrix
+        | [dimensional units]
+        | 
+        |-- Density           : Constant density: ρ=2900 kg m⁻³ 
+        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  
+        |                       Linear viscosity: η=1.0e21 Pa s</code></pre><p>Define two viscous creep laws &amp; P/T dependent density and nondimensionalize</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);
+julia&gt; Phase = SetMaterialParams(Name=&quot;Viscous Matrix&quot;, Phase=33,
+                              Density   = PT_Density(),
+                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),
+                              CharDim   = CharUnits_GEO)
+Phase 33: Viscous Matrix
+        | [non-dimensional units]
+        | 
+        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0 
+        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18 
+        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001  
+        |                       Linear viscosity: η=10000.0 </code></pre><p>You can also create an array that holds several parameters:</p><pre><code class="language-julia-repl hljs">julia&gt; MatParam        =   Array{MaterialParams, 1}(undef, 2);
+julia&gt; Phase           =   1;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Upper Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),
+                            Density  = ConstantDensity(ρ=2900kg/m^3));
+julia&gt; Phase           =   2;
+julia&gt; MatParam[Phase] =   SetMaterialParams(Name=&quot;Lower Crust&quot;, Phase=Phase,
+                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),
+                            Density  = PT_Density(ρ0=3000kg/m^3));
+julia&gt; MatParam
+2-element Vector{MaterialParams}:
+ Phase 1 : Upper Crust
+    | [dimensional units]
+    | 
+    |-- Density           : Constant density: ρ=2900 kg m⁻³ 
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  
+    |                       Linear viscosity: η=1.0e23 Pa s 
+                            
+ Phase 2 : Lower Crust
+    | [dimensional units]
+    | 
+    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa 
+    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² 
+    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹  
+    |                       Linear viscosity: η=1.0e21 Pa s </code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/MaterialParameters.jl#L99-L184">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.MaterialParams" href="#GeoParams.MaterialParameters.MaterialParams"><code>GeoParams.MaterialParameters.MaterialParams</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MaterialParams</code></pre><p>Structure that holds all material parameters for a given phase</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/MaterialParameters.jl#L59-L64">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../nondimensionalize/">« Nondimensionalization</a><a class="docs-footer-nextpage" href="../density/">Density »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 19 February 2024 17:10">Monday 19 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Melting-Parameterizations"><a class="docs-heading-anchor" href="#Melting-Parameterizations">Melting Parameterizations</a><a id="Melting-Parameterizations-1"></a><a class="docs-heading-anchor-permalink" href="#Melting-Parameterizations" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>A number of melting parameterisations are implemented, which can be set with:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Caricchi" href="#GeoParams.MeltingParam.MeltingParam_Caricchi"><code>GeoParams.MeltingParam.MeltingParam_Caricchi</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Caricchi()</code></pre><p>Implements the T-dependent melting parameterisation used by Caricchi, Simpson et al. (as for example described in Simpson)</p><p class="math-container">\[    \theta = {(a - (T + c)) \over b}\]</p><p class="math-container">\[    \phi_{melt} = {1.0 \over (1.0 + e^\theta)}\]</p><p>Note that T is in Kelvin. As default parameters we employ:</p><p class="math-container">\[b=23K,  a=800K , c=273.15K\]</p><p>Which gives a reasonable fit to experimental data of granodioritic composition (Piwinskii and Wyllie, 1968):</p><p><img src="../assets/img/MeltingParam_Caricchi.png" alt="MeltParam_Carrichi"/></p><p><strong>References</strong></p><ul><li>Simpson G. (2017) Practical finite element modelling in Earth Sciences Using MATLAB.</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/MeltFraction/MeltingParameterization.jl#L34-L56">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Smooth3rdOrder" href="#GeoParams.MeltingParam.MeltingParam_Smooth3rdOrder"><code>GeoParams.MeltingParam.MeltingParam_Smooth3rdOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Smooth3rdOrder()</code></pre><p>Implements the a smooth 3rd order T-dependent melting parameterisation (as used by Melnik and coworkers)</p><p class="math-container">\[    x = {  (T - 273.15) \over 1000.0}\]</p><p class="math-container">\[    \theta = { a + b * x + c * x^2 + d * x^3}\]</p><p class="math-container">\[    \phi_{melt} = {1.0 \over (1.0 + e^\theta)}\]</p><p>Note that T is in Kelvin. </p><p>As default parameters we employ:</p><p class="math-container">\[a=517.9,  b=-1619.0, c=1699.0, d = -597.4\]</p><p>which gives a reasonable fit to experimental data for basalt.</p><p>Data for rhyolite are:</p><p class="math-container">\[a=3043.0,  b=-10552.0, c=12204.9, d = -4709.0 \]</p><p><img src="../assets/img/MeltingParam_Melnik.png" alt="MeltingParam_Smooth3rdOrder"/> Red: Rhyolite, Blue: Basalt</p><p><strong>References</strong></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/MeltFraction/MeltingParameterization.jl#L94-L125">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_5thOrder" href="#GeoParams.MeltingParam.MeltingParam_5thOrder"><code>GeoParams.MeltingParam.MeltingParam_5thOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_5thOrder(a,b,c,d,e,f,T_s,T_l)</code></pre><p>Uses a 5th order polynomial to describe the melt fraction <code>phi</code> between solidus temperature <code>T_s</code> and liquidus temperature <code>T_l</code></p><p class="math-container">\[    \phi = a T^5 + b T^4 + c T^3 + d T^2 + e T + f  \textrm{   for   } T_s ≤ T ≤ T_l\]</p><p class="math-container">\[    \phi = 1  \textrm{   if   } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0  \textrm{   if   } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_5thorder.png" alt="MeltingParam_5thOrder"/></p><p>The default values are for a composite liquid-line-of-descent:</p><ul><li>the upper part is for Andesite from: (Blatter, D. L. &amp; Carmichael, I. S. (2001) Hydrous phase equilibria of a Mexican highsilica andesite: a candidate for a mantle origin? Geochim. Cosmochim. Acta 65, 4043–4065</li><li>the lower part is extrapolated to the granitic minimum using the Marxer &amp; Ulmer LLD for Andesite (Marxer, F. &amp; Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. <em>Contributions Mineral. Petrol.</em> 174, 84)</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/MeltFraction/MeltingParameterization.jl#L179-L200">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_4thOrder" href="#GeoParams.MeltingParam.MeltingParam_4thOrder"><code>GeoParams.MeltingParam.MeltingParam_4thOrder</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_4thOrder(b,c,d,e,f,T_s,T_l)</code></pre><p>Uses a 4th order polynomial to describe the melt fraction <code>phi</code> between solidus temperature <code>T_s</code> and liquidus temperature <code>T_l</code></p><p class="math-container">\[    \phi = b T^4 + c T^3 + d T^2 + e T + f  \textrm{   for   } T_s ≤ T ≤ T_l\]</p><p class="math-container">\[    \phi = 1 \textrm{   if   } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0  \textrm{   if   } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_4thorder.png" alt="MeltingParam_4thOrder"/></p><p>The default values are for Tonalite experiments from Marxer and Ulmer (2019):</p><ul><li>Marxer, F. &amp; Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. <em>Contributions Mineral. Petrol.</em> 174, 84</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/MeltFraction/MeltingParameterization.jl#L262-L282">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Quadratic" href="#GeoParams.MeltingParam.MeltingParam_Quadratic"><code>GeoParams.MeltingParam.MeltingParam_Quadratic</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Quadratic(T_s,T_l)</code></pre><p>Quadratic melt fraction parameterisation where melt fraction <span>$\phi$</span> depends only on solidus (<span>$T_s$</span>) and liquidus (<span>$T_l$</span>) temperature:</p><p class="math-container">\[    \phi = 1.0 - \left( {T_l - T} \over {T_l - T_s} \right)^2\]</p><p class="math-container">\[    \phi = 1.0 \textrm{ if } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0.0 \textrm{ if } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_Quadratic.png" alt="MeltingParam_Quadratic"/></p><p>This was used, among others, in Tierney et al. (2016) Geology</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/MeltFraction/MeltingParameterization.jl#L347-L366">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.MeltingParam_Assimilation" href="#GeoParams.MeltingParam.MeltingParam_Assimilation"><code>GeoParams.MeltingParam.MeltingParam_Assimilation</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">MeltingParam_Assimilation(T_s,T_l,a)</code></pre><p>Melt fraction parameterisation that takes the assimilation of crustal host rocks into account, as used by Tierney et al. (2016) based upon a parameterisation of Spera and Bohrson (2001)</p><p>Here, the fraction of molten and assimilated host rocks <span>$\phi$</span> depends on the solidus (<span>$T_s$</span>) and liquidus (<span>$T_l$</span>) temperatures of the rocks, as well as on a parameter <span>$a=0.005$</span></p><p class="math-container">\[    X = \left( {T - T_s} \over {T_l - T_s} \right)\]</p><p class="math-container">\[    \phi = a \cdot \left( \exp^{2ln(100)X} - 1.0 \right) \textrm{ if } X ≤ 0.5\]</p><p class="math-container">\[    \phi = 1- a \cdot \exp^{2ln(100)(1-X)}  \textrm{ if } X &gt; 0.5\]</p><p class="math-container">\[    \phi = 1.0 \textrm{ if } T&gt;T_l\]</p><p class="math-container">\[    \phi = 0.0 \textrm{ if } T&lt;T_s\]</p><p>Temperature <code>T</code> is in Kelvin.</p><p><img src="../assets/img/MeltingParam_Assimilation.png" alt="MeltingParam_Assimilation"/></p><p>This was used, among others, in Tierney et al. (2016), who employed as default parameters:</p><p class="math-container">\[   T_s=973.15, T_l=1173.15, a=0.005\]</p><p><strong>References</strong></p><ul><li>Spera, F.J., and Bohrson, W.A., 2001, Energy-Constrained Open-System Magmatic Processes I: General Model and Energy-Constrained Assimilation and Fractional Crystallization (EC- AFC) Formulation: Journal of Petrology, v. 42, p. 999–1018.</li><li>Tierney, C.R., Schmitt, A.K., Lovera, O.M., de Silva, S.L., 2016. Voluminous plutonism during volcanic quiescence revealed by thermochemical modeling of zircon. Geology 44, 683–686. https://doi.org/10.1130/G37968.1</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/MeltFraction/MeltingParameterization.jl#L413-L448">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.SmoothMelting" href="#GeoParams.MeltingParam.SmoothMelting"><code>GeoParams.MeltingParam.SmoothMelting</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">SmoothMelting(; p=MeltingParam_4thOrder(), k_sol=0.2/K,  k_liq=0.2/K)</code></pre><p>This smoothens the melting parameterisation <span>$p$</span> around the solidus <span>$T_{sol}$</span> and liquidus <span>$T_{liq}$</span> using a smoothened Heaviside step functions for the solidus:</p><p class="math-container">\[    H_{sol} =  {1.0 \over { 1 + \exp( -2 k_{sol} (T - T_{sol} - {2 \over k_{sol}}) )  }}\]</p><p>and liquidus:</p><p class="math-container">\[    H_{liq} =  1.0 - {1.0 \over { 1 + \exp( -2 k_{liq} (T - T_{liq} + {2 \over k_{liq}}) )  }}\]</p><p>The resulting melt fraction <span>$\phi$</span> is computed from the original melt fraction <span>$\phi_0$</span> (computed using one of the methods above) as:</p><p class="math-container">\[    \phi =  \phi_0 H_{sol} H_{liq} + 1.0 - H_{liq}\]</p><p>The width of the smoothening zones is controlled by <span>$k_{sol}, k_{liq}$</span> (larger values = sharper boundary).</p><p>This is important, as jumps in the derivative <span>$dϕ/dT$</span> can cause numerical instabilities in latent heat computations, which is prevented with this smoothening.</p><p><strong>Example</strong></p><p>Let&#39;s consider a 4th order parameterisation:</p><pre><code class="language-julia hljs">julia&gt; using GLMakie, GeoParams
+julia&gt; p = MeltingParam_4thOrder();
+julia&gt; T= collect(650.0:1:1050.) .+ 273.15;
+julia&gt; T,phi,dϕdT =  PlotMeltFraction(p,T=T);</code></pre><p>The same but with smoothening:</p><pre><code class="language-julia hljs">julia&gt; p_s = SmoothMelting(p=MeltingParam_4thOrder(), k_liq=0.21/K);
+4th order polynomial melting curve: phi = -7.594512597174117e-10T^4 + 3.469192091489447e-6T^3 + -0.00592352980926T^2 + 4.482855645604745T + -1268.730161921053  963.15 K ≤ T ≤ 1270.15 K with smooth Heaviside function smoothening using k_sol=0.1 K⁻¹·⁰, k_liq=0.11 K⁻¹·⁰
+julia&gt; T_s,phi_s,dϕdT_s =  PlotMeltFraction(p_s,T=T);</code></pre><p>We can create plots of this with:</p><pre><code class="language-julia hljs">julia&gt; plt1 = plot(T.-273.15, phi, ylabel=&quot;Melt Fraction ϕ&quot;, color=:red, label=&quot;original&quot;, xlabel=&quot;Temperature [C]&quot;)
+julia&gt; plt1 = plot(plt1, T.-273.15, phi_s,  color=:black, label=&quot;smoothened&quot;, legend=:bottomright)
+julia&gt; plt2 = plot(T.-273.15, dϕdT, ylabel=&quot;dϕ/dT&quot;, color=:red, label=&quot;original&quot;, xlabel=&quot;Temperature [C]&quot;)
+julia&gt; plt2 = plot(plt2, T.-273.15, dϕdT_s,  color=:black, label=&quot;smoothened&quot;, legend=:topright)
+julia&gt; plot!(plt1,plt2,   xlabel=&quot;Temperature [C]&quot;, layout=(2,1))</code></pre><p>The derivative no longer has a jump now:</p><p><img src="../assets/img/MeltingParam_Smooth.png" alt="MeltingParam_Smooth"/></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/MeltFraction/MeltingParameterization.jl#L523-L574">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute the melt fraction at given <code>T</code> and <code>P</code>, use:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction!" href="#GeoParams.MeltingParam.compute_meltfraction!"><code>GeoParams.MeltingParam.compute_meltfraction!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_meltfraction!(ϕ::AbstractArray{&lt;:AbstractFloat}, P::AbstractArray{&lt;:AbstractFloat},T:AbstractArray{&lt;:AbstractFloat}, p::PhaseDiagram_LookupTable)</code></pre><p>In-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/MeltFraction/MeltingParameterization.jl#L658-L662">source</a></section><section><div><pre><code class="nohighlight hljs">compute_meltfraction(ϕ::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>In-place computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/MeltFraction/MeltingParameterization.jl#L746-L750">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_meltfraction" href="#GeoParams.MeltingParam.compute_meltfraction"><code>GeoParams.MeltingParam.compute_meltfraction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_meltfraction(P,T, p::AbstractPhaseDiagramsStruct)</code></pre><p>Computes melt fraction in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/MeltFraction/MeltingParameterization.jl#L646-L650">source</a></section><section><div><pre><code class="nohighlight hljs">ϕ = compute_meltfraction(Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/MeltFraction/MeltingParameterization.jl#L739-L743">source</a></section></article><p>You can also obtain the derivative of melt fraction versus temperature with (useful to compute latent heat effects):</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_dϕdT!" href="#GeoParams.MeltingParam.compute_dϕdT!"><code>GeoParams.MeltingParam.compute_dϕdT!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_dϕdT!(ϕ::AbstractArray{&lt;:AbstractFloat}, Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computates the derivative of melt fraction <code>ϕ</code> versus temperature <code>T</code>, <span>${\partial \phi} \over {\partial T}$</span> for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This is employed, for example, in computing latent heat terms in an implicit manner.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/MeltFraction/MeltingParameterization.jl#L769-L774">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MeltingParam.compute_dϕdT" href="#GeoParams.MeltingParam.compute_dϕdT"><code>GeoParams.MeltingParam.compute_dϕdT</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_dϕdT(P,T, p::AbstractPhaseDiagramsStruct)</code></pre><p>Computes derivative of melt fraction vs T in case we use a phase diagram lookup table. The table should have the column <code>:meltFrac</code> specified. The derivative is computed by finite differencing.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/MeltFraction/MeltingParameterization.jl#L665-L670">source</a></section><section><div><pre><code class="nohighlight hljs">ϕ = compute_dϕdT(Phases::AbstractArray{&lt;:Integer}, P::AbstractArray{&lt;:AbstractFloat},T::AbstractArray{&lt;:AbstractFloat}, MatParam::AbstractArray{&lt;:AbstractMaterialParamsStruct})</code></pre><p>Computates the derivative of melt fraction ϕ versus temperature <code>T</code> for the whole domain and all phases, in case an array with phase properties <code>MatParam</code> is provided, along with <code>P</code> and <code>T</code> arrays. This is employed in computing latent heat terms in an implicit manner, for example</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/MeltFraction/MeltingParameterization.jl#L761-L766">source</a></section></article><p>Also note that phase diagrams can be imported using <code>PerpleX_LaMEM_Diagram</code>, which may also have melt content information. The computational routines work with that as well.</p><h1 id="Plotting-routines"><a class="docs-heading-anchor" href="#Plotting-routines">Plotting routines</a><a id="Plotting-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting-routines" title="Permalink"></a></h1><p>You can use the routine <code>PlotMeltFraction</code> to create a plot, provided that the <code>GLMakie</code> package has been loaded</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotMeltFraction</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../gravity/">« Gravity</a><a class="docs-footer-nextpage" href="../TASclassification/">TAS classification »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 19 February 2024 17:10">Monday 19 February 2024</span>. 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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Nondimensionalization · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Nondimensionalization</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Nondimensionalization</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/nondimensionalize.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Nondimensionalization"><a class="docs-heading-anchor" href="#Nondimensionalization">Nondimensionalization</a><a id="Nondimensionalization-1"></a><a class="docs-heading-anchor-permalink" href="#Nondimensionalization" title="Permalink"></a></h1><p>Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between <code>GEO</code>, <code>SI</code> or <code>NO</code> units:</p><ul><li><code>SI</code> units assume all input and output is in <code>SI</code> units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).</li><li><code>GEO</code> units uses <code>SI</code> units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as <code>Myrs</code>,<code>km</code> or <code>MPa</code></li><li><code>NO</code> units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that <code>velocity</code> is given in <code>m/s</code>).</li></ul><p>A dimensional parameter can be transformed into a non-dimensional one with <code>nondimensionalize</code>.</p><h1 id="Specify-characteristic-values"><a class="docs-heading-anchor" href="#Specify-characteristic-values">Specify characteristic values</a><a id="Specify-characteristic-values-1"></a><a class="docs-heading-anchor-permalink" href="#Specify-characteristic-values" title="Permalink"></a></h1><p>Characteristic values can be defined in 3 ways.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units" href="#GeoParams.Units"><code>GeoParams.Units</code></a> — <span class="docstring-category">Module</span></header><section><div><pre><code class="language-julia hljs">This provides units and creates a non-dimensionalization object</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Units.jl#L1-L3">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.AbstractGeoUnit" href="#GeoParams.Units.AbstractGeoUnit"><code>GeoParams.Units.AbstractGeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><p>AbstractGeoUnit</p><p>Abstract supertype for geo units.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Units.jl#L96-L100">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnit" href="#GeoParams.Units.GeoUnit"><code>GeoParams.Units.GeoUnit</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.
+
+Having that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.
+With the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Units.jl#L110-L117">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GeoUnits" href="#GeoParams.Units.GeoUnits"><code>GeoParams.Units.GeoUnits</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">GeoUnits
+
+Structure that holds parameters used for non-dimensionalization</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Units.jl#L307-L311">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.GEO_units" href="#GeoParams.Units.GEO_units"><code>GeoParams.Units.GEO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)</code></pre><p>Creates a non-dimensionalization object using GEO units.</p><p>GEO units implies that upon dimensionalization, <code>time</code> will be in <code>Myrs</code>, <code>length</code> in <code>km</code>, stress in <code>MPa</code>, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (<code>km</code> or <code>m</code>), provided the unit is specified.</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = GEO_units()
+Employing GEO units 
+Characteristic values: 
+         length:      1000 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C
+julia&gt; CharUnits.velocity
+1.0e-7 m s⁻¹</code></pre><p>If we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic <code>length</code>:</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = GEO_units(length=10km)
+Employing GEO units 
+Characteristic values: 
+         length:      10 km
+         time:        0.3169 Myrs
+         stress:      10 MPa
+         temperature: 1000.0 °C</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Units.jl#L359-L390">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.SI_units" href="#GeoParams.Units.SI_units"><code>GeoParams.Units.SI_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)</code></pre><p>Specify the characteristic values using SI units </p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = SI_units(length=1000m)
+Employing SI units 
+Characteristic values: 
+         length:      1000 m
+         time:        1.0e19 s
+         stress:      10 Pa
+         temperature: 1000.0 K</code></pre><p>Note that the same can be achieved if the input is given in <code>km</code>:</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits = SI_units(length=1km)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Units.jl#L429-L448">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.NO_units" href="#GeoParams.Units.NO_units"><code>GeoParams.Units.NO_units</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)</code></pre><p>Specify the characteristic values in non-dimensional units</p><p><strong>Examples:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GeoParams;
+julia&gt; CharUnits = NO_units()
+Employing NONE units 
+Characteristic values: 
+         length:      1
+         time:        1.0 
+         stress:      1
+         temperature: 1.0</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Units.jl#L487-L503">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_val" href="#GeoParams.Units.@unpack_val"><code>GeoParams.Units.@unpack_val</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia hljs">This unpacks the numerical value of `GeoUnit` in a structure, without the units.
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_val ρ,α = r
+julia&gt; α
+4.0e-5
+julia&gt; typeof(α)
+Float64</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/unpack.jl#L4-L23">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.@unpack_units" href="#GeoParams.Units.@unpack_units"><code>GeoParams.Units.@unpack_units</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia hljs">This unpacks the numerical value with units of `GeoUnit` parameters in a structure
+All requested variables must be GeoUnits.
+
+This is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.</code></pre><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; struct Density{T} 
+        ρ::GeoUnit{T} 
+        α::GeoUnit{T} 
+       end
+julia&gt; r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));
+julia&gt; @unpack_units ρ,α = r
+julia&gt; α
+4.0e-5 K⁻¹·⁰
+julia&gt; typeof(α)
+Quantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/unpack.jl#L46-L65">source</a></section></article><h1 id="(Non)-dimensionalize-parameters"><a class="docs-heading-anchor" href="#(Non)-dimensionalize-parameters">(Non)-dimensionalize parameters</a><a id="(Non)-dimensionalize-parameters-1"></a><a class="docs-heading-anchor-permalink" href="#(Non)-dimensionalize-parameters" title="Permalink"></a></h1><p>Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.nondimensionalize" href="#GeoParams.Units.nondimensionalize"><code>GeoParams.Units.nondimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">nondimensionalize(param, CharUnits::GeoUnits{TYPE})</code></pre><p>Nondimensionalizes <code>param</code> using the characteristic values specified in <code>CharUnits</code></p><p><strong>Example 1</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GeoParams;
+julia&gt; CharUnits =   GEO_units();
+julia&gt; v         =   3cm/yr
+3 cm yr⁻¹ 
+julia&gt; v_ND      =   nondimensionalize(v, CharUnits) 
+0.009506426344208684</code></pre><p><strong>Example 2</strong></p><p>In geodynamics one sometimes encounters more funky units</p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits =   GEO_units();
+julia&gt; A         =   6.3e-2MPa^-3.05*s^-1
+0.063 MPa⁻³·⁰⁵ s⁻¹
+julia&gt; A_ND      =   nondimensionalize(A, CharUnits) 
+7.068716262102384e14</code></pre><p>In case you are interested to see how the units of <code>A</code> look like in different units, use this function from the <a href="https://github.com/PainterQubits/Unitful.jl">Unitful</a> package:</p><pre><code class="language-julia-repl hljs">julia&gt; uconvert(u&quot;Pa^-3.05*s^-1&quot;,A) 
+3.157479571851836e-20 Pa⁻³·⁰⁵</code></pre><p>and to see it decomposed in the basic <code>SI</code> units of length, mass and time:</p><pre><code class="language-julia-repl hljs">julia&gt; upreferred(A)
+3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Units.jl#L537-L571">source</a></section><section><div><pre><code class="nohighlight hljs">param = nondimensionalize(param::NTuple{N,Quantity}, g::GeoUnits{TYPE})</code></pre><p>nondimensionalizes a tuple of parameters    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Units.jl#L603-L607">source</a></section><section><div><pre><code class="nohighlight hljs">MatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Non-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p><p><strong></strong></p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Units.jl#L640-L645">source</a></section><section><div><pre><code class="nohighlight hljs">nondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>nondimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Units.jl#L673-L677">source</a></section><section><div><pre><code class="nohighlight hljs">MatParam_ND = nondimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)</code></pre><p>Non-dimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Units.jl#L712-L717">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.dimensionalize" href="#GeoParams.Units.dimensionalize"><code>GeoParams.Units.dimensionalize</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes <code>param</code> into the dimensions <code>param_dim</code> using the characteristic values specified in <code>CharUnits</code>.  </p><p><strong>Example</strong></p><pre><code class="language-julia-repl hljs">julia&gt; CharUnits =   GEO_units();
+julia&gt; v_ND      =   nondimensionalize(3cm/yr, CharUnits) 
+0.031688087814028945
+julia&gt; v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) 
+3.0 cm yr⁻¹</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Units.jl#L724-L738">source</a></section><section><div><pre><code class="nohighlight hljs">dimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})</code></pre><p>Dimensionalizes a material parameter structure (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Units.jl#L759-L764">source</a></section><section><div><pre><code class="nohighlight hljs">Dimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})</code></pre><p>Dimensionalizes all fields within the Material Parameters structure that contain material parameters</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Units.jl#L792-L796">source</a></section><section><div><pre><code class="nohighlight hljs">dimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)</code></pre><p>dimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Units.jl#L839-L844">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Units.isDimensional" href="#GeoParams.Units.isDimensional"><code>GeoParams.Units.isDimensional</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">isDimensional(MatParam::AbstractMaterialParam)</code></pre><p><code>true</code> if MatParam is in dimensional units.    </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Units.jl#L851-L855">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../geounit/">« GeoUnit</a><a class="docs-footer-nextpage" href="../materialparameters/">Material Parameters »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 19 February 2024 17:10">Monday 19 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.7/man/phasediagrams/index.html b/v0.5.7/man/phasediagrams/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Phase Diagrams · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li class="is-active"><a class="tocitem" href>Phase Diagrams</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Perple_X"><span>Perple_X</span></a></li></ul></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Phase Diagrams</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Phase Diagrams</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/phasediagrams.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Phase-Diagrams"><a class="docs-heading-anchor" href="#Phase-Diagrams">Phase Diagrams</a><a id="Phase-Diagrams-1"></a><a class="docs-heading-anchor-permalink" href="#Phase-Diagrams" title="Permalink"></a></h1><p>It is possible to employ phase diagrams as lookup tables, which can be used to compute density, melt fraction or seismic properties, for example. </p><h1 id="Perple_X"><a class="docs-heading-anchor" href="#Perple_X">Perple_X</a><a id="Perple_X-1"></a><a class="docs-heading-anchor-permalink" href="#Perple_X" title="Permalink"></a></h1><p>A popular way to compute phase diagrams (pseudosections) for a given (fixed) chemical composition as a function of pressure and temperature is by using <a href="https://www.perplex.ethz.ch">Perple_X</a>. Once a stable assemblage is computed, through Gibbs energy minimisation, it allows you to output a large number of properties such as density, melt fraction or seismic velocities.</p><p>Within GeoParams, we can import this diagram (provided it is formatted in the same manner as <code>LaMEM</code> expects <code>Perple_X</code> input to be).</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.PerpleX_LaMEM_Diagram" href="#GeoParams.PerpleX_LaMEM_Diagram"><code>GeoParams.PerpleX_LaMEM_Diagram</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">PD_Data = PerpleX_LaMEM_Diagram(fname::String; CharDim = nothing)</code></pre><p>Reads a precomputed phase diagram in the <code>LaMEM/Perple_X</code> format (which is a phase diagram computed using <code>Perple_X</code>, but formatted in a manner that is readable using LaMEM). The data is stored in the <code>PhaseDiagram_LookupTable</code> structure.</p><p>If the <code>CharDim</code> object is specified, the values of all diagrams will be non-dimensionalized.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; PD_Data = PerpleX_LaMEM_Diagram(&quot;./test_data/Peridotite.in&quot;)
+Perple_X/LaMEM Phase Diagram Lookup Table: 
+                      File    :   ./test_data/Peridotite.in
+                      T       :   293.0 - 1573.000039
+                      P       :   1.0e7 - 2.9999999944e9
+                      fields  :   :meltRho, :meltRho, :meltFrac, :rockRho, :Rho, :rockVp
+                                  :rockVs, :rockVpVs, :meltVp, :meltVs, :meltVpVs
+                                  :Vp, :Vs, :VpVs</code></pre><p>Once imported, the properties on the diagram can be interpolated in a simple manner:</p><pre><code class="nohighlight hljs">julia&gt; PD_Data.Rho(1500,1e7)
+3042.836820256982</code></pre><p>This also works for vectors or arrays:</p><pre><code class="language-julia hljs">julia&gt; T = [1500 1800; 1233 1300]
+julia&gt; P = [1e8 1e9; 1e7 1e7]
+julia&gt; rho = PD_Data.Rho.(T,P)</code></pre><p>(Note the dot <code>.</code> in front of the bracket while evaluating arrays).</p><p>The fields that are available depend on what is listed in the diagram file.  The units of the fields are automatically evaluated, and employed to non-dimensionalize the parameters if <code>CharDim</code> is specified. </p><p><strong>Algorithm</strong></p><p>Internally, we employ linear interpolation, as provided by the <a href="https://github.com/JuliaMath/Interpolations.jl">Interpolations.jl</a> package. Values outside the range of the diagram are set to the boundary of the diagram. The interpolation object is directly encoded in the <code>PhaseDiagram_LookupTable</code>` object.  </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/PhaseDiagrams/PhaseDiagrams.jl#L44-L85">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable" href="#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable"><code>GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">Contains data of a Phase Diagram that is regularly spaced in P &amp; T</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/PhaseDiagrams/PhaseDiagrams.jl#L14-L16">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../zirconages/">« Zircon Ages</a><a class="docs-footer-nextpage" href="../seismicvelocity/">Seismic Velocity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 19 February 2024 17:10">Monday 19 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Plasticity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Plasticity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Plasticity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/plasticity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Plasticity"><a class="docs-heading-anchor" href="#Plasticity">Plasticity</a><a id="Plasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Plasticity" title="Permalink"></a></h1><p>Plasticity is a non-linear rheology that is activated once stresses exceed a certain yield criteria.</p><h1 id="Implemented-laws"><a class="docs-heading-anchor" href="#Implemented-laws">Implemented laws</a><a id="Implemented-laws-1"></a><a class="docs-heading-anchor-permalink" href="#Implemented-laws" title="Permalink"></a></h1><p>The following plastic law are implemented:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.Plasticity.DruckerPrager</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.Plasticity.DruckerPrager_regularised</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>Usually, plasticity should be defined as part of a <code>CompositeRheology</code> structure and calculations can be done as with all other rheology computations by using <code>compute_τII</code>.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../elasticity/">« Elasticity</a><a class="docs-footer-nextpage" href="../heatcapacity/">Heat Capacity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 19 February 2024 17:10">Monday 19 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.7/man/plotting/index.html b/v0.5.7/man/plotting/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Plotting · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li class="is-active"><a class="tocitem" href>Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Plotting</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Plotting</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/plotting.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Plotting"><a class="docs-heading-anchor" href="#Plotting">Plotting</a><a id="Plotting-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting" title="Permalink"></a></h1><p>We provide a number of plotting routines. Note that these plotting routines only become available once the <code>GLMakie</code> package is loaded.</p><h3 id="Plot-CreepLaws"><a class="docs-heading-anchor" href="#Plot-CreepLaws">Plot CreepLaws</a><a id="Plot-CreepLaws-1"></a><a class="docs-heading-anchor-permalink" href="#Plot-CreepLaws" title="Permalink"></a></h3><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotStressStrainrate_CreepLaw</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotHeatCapacity</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotConductivity</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotMeltFraction</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotPhaseDiagram</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.PlotDeformationMap</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../strengthenvelope/">« 1D Strength Envelope</a><a class="docs-footer-nextpage" href="../listfunctions/">List of functions »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 19 February 2024 17:10">Monday 19 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.7/man/radioactiveheating/index.html b/v0.5.7/man/radioactiveheating/index.html
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Radioactive heat · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li><a class="tocitem" href="../viscosity/">Viscosity</a></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li class="is-active"><a class="tocitem" href>Radioactive heat</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Radioactive heat</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Radioactive heat</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/radioactiveheating.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Radioactive-heat"><a class="docs-heading-anchor" href="#Radioactive-heat">Radioactive heat</a><a id="Radioactive-heat-1"></a><a class="docs-heading-anchor-permalink" href="#Radioactive-heat" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Radioactive heat sources are defined as </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat" href="#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)</code></pre><p>Set a constant radioactive heat:</p><p class="math-container">\[    H_r  = cst\]</p><p>where <span>$H_r$</span> is the radioactive heat source [<span>$Watt/m^3$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Energy/RadioactiveHeat.jl#L23-L31">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat" href="#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat"><code>GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ExpDepthDependent(H_0=1e-6Watt/m^3, h_r=10e3m, z_0=0m)</code></pre><p>Sets an exponential depth-dependent radioactive </p><p class="math-container">\[    H_r  = H_0 \exp \left( {- {(z - z_0) \over h_r}} \right)\]</p><p>where <span>$H_0$</span> is the radioactive heat source [<span>$Watt/m^3$</span>] at <span>$z=z_0$</span> which decays with depth over a characteristic distance <span>$h_r$</span>.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Energy/RadioactiveHeat.jl#L63-L71">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat!</code>. Check Documenter&#39;s build log for details.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../latentheat/">« Latent heat</a><a class="docs-footer-nextpage" href="../shearheating/">Shear heating »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 19 February 2024 17:10">Monday 19 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li class="is-active"><a class="tocitem" href>Seismic Velocity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-velocity-correction-for-partial-melt"><span>Seismic velocity correction for partial melt</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-2"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-2"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity"><span>Seismic S-wave velocity correction for (shallow depth) porosity</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-3"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-3"><span>Computational routines</span></a></li><li class="toplevel"><a class="tocitem" href="#Seismic-velocity-correction-for-anelasticity"><span>Seismic velocity correction for anelasticity</span></a></li><li class="toplevel"><a class="tocitem" href="#Methods-4"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines-4"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Seismic Velocity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Seismic Velocity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/seismicvelocity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Seismic-velocity"><a class="docs-heading-anchor" href="#Seismic-velocity">Seismic velocity</a><a id="Seismic-velocity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Seismic velocity can specified in a number of ways</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity" href="#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity"><code>GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)</code></pre><p>Set a constant seismic P and S-wave velocity:</p><p class="math-container">\[    V_p = cst\]</p><p class="math-container">\[    V_s = cst\]</p><p>where <span>$V_p, V_s$</span> are the P-wave and S-wave velocities [<span>$km/s$</span>].</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/SeismicVelocity/SeismicVelocity.jl#L35-L46">source</a></section></article><p>In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.</p><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To evaluate seismic velocity within a user routine, use this:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_swave_velocity!</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_pwave_velocity!</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_pwave_velocity</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.compute_swave_velocity</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-velocity-correction-for-partial-melt"><a class="docs-heading-anchor" href="#Seismic-velocity-correction-for-partial-melt">Seismic velocity correction for partial melt</a><a id="Seismic-velocity-correction-for-partial-melt-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity-correction-for-partial-melt" title="Permalink"></a></h1><h1 id="Methods-2"><a class="docs-heading-anchor" href="#Methods-2">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-2" title="Permalink"></a></h1><p>The routine uses the reduction formulation of Clark et al., (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.</p><h1 id="Computational-routines-2"><a class="docs-heading-anchor" href="#Computational-routines-2">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-2" title="Permalink"></a></h1><p>To compute melt-content based correction for seismic waves velocities, you can use:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.melt_correction</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity"><a class="docs-heading-anchor" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity">Seismic S-wave velocity correction for (shallow depth) porosity</a><a id="Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity" title="Permalink"></a></h1><h1 id="Methods-3"><a class="docs-heading-anchor" href="#Methods-3">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-3" title="Permalink"></a></h1><p>This routine is based on the equilibrium geometry model for the solid skeleton of Takei et al. (1998) and the porosity-depth empirical relationship of Chen et al. (2020)</p><h1 id="Computational-routines-3"><a class="docs-heading-anchor" href="#Computational-routines-3">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-3" title="Permalink"></a></h1><p>To compute porosity based correction for seismic S-wave velocity, you can use:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>GeoParams.porosity_correction</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Seismic-velocity-correction-for-anelasticity"><a class="docs-heading-anchor" href="#Seismic-velocity-correction-for-anelasticity">Seismic velocity correction for anelasticity</a><a id="Seismic-velocity-correction-for-anelasticity-1"></a><a class="docs-heading-anchor-permalink" href="#Seismic-velocity-correction-for-anelasticity" title="Permalink"></a></h1><h1 id="Methods-4"><a class="docs-heading-anchor" href="#Methods-4">Methods</a><a class="docs-heading-anchor-permalink" href="#Methods-4" title="Permalink"></a></h1><p>The routine uses the reduction formulation of karato (1993), using the quality factor formulation from Behn et al. (2009)</p><h1 id="Computational-routines-4"><a class="docs-heading-anchor" href="#Computational-routines-4">Computational routines</a><a class="docs-heading-anchor-permalink" href="#Computational-routines-4" title="Permalink"></a></h1><p>To compute a correction of S-wave velocity for anelasticity, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction" href="#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction"><code>GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">    Vs_anel = anelastic_correction(water::Int64, Vs0::Float64,P::Float64,T::Float64)</code></pre><p>This routine computes a correction of S-wave velocity for anelasticity</p><p><strong>Input:</strong></p><ul><li><code>water</code>: water flag, 0 = dry; 1 = dampened; 2 = water saturated </li><li><code>Vs0</code>  : S-wave velocitiy of the solid phase (with or without melt correction)</li><li><code>P</code>    : pressure given in Pa</li><li><code>T</code>    : temperature given in °K</li></ul><p><strong>Output:</strong></p><ul><li><code>Vs_anel</code> : corrected S-wave velocity for anelasticity</li></ul><p>The routine uses the reduction formulation of Karato (1993), using the quality factor formulation from Behn et al. (2009)</p><p><strong>References:</strong></p><ul><li><p>Karato, S. I. (1993). Importance of anelasticity in the interpretation of seismic tomography. Geophysical research letters, 20(15), 1623-1626.</p></li><li><p>Behn, M. D., Hirth, G., &amp; Elsenbeck II, J. R. (2009). Implications of grain size evolution on the seismic structure of the oceanic upper mantle. Earth and Planetary Science Letters, 282(1-4), 178-189.</p></li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/SeismicVelocity/SeismicVelocity.jl#L354-L381">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../phasediagrams/">« Phase Diagrams</a><a class="docs-footer-nextpage" href="../strengthenvelope/">1D Strength Envelope »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 19 February 2024 17:10">Monday 19 February 2024</span>. 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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Shear heating · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li class="is-active"><a class="tocitem" href>Shear heating</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Shear heating</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Shear heating</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/shearheating.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Shear-heating"><a class="docs-heading-anchor" href="#Shear-heating">Shear heating</a><a id="Shear-heating-1"></a><a class="docs-heading-anchor-permalink" href="#Shear-heating" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Heat caused by non-recoverable deformation can be specified in </p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.ConstantShearheating" href="#GeoParams.MaterialParameters.Shearheating.ConstantShearheating"><code>GeoParams.MaterialParameters.Shearheating.ConstantShearheating</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstantShearheating(Χ=0.0NoUnits)</code></pre><p>Set the shear heating efficiency [0-1] parameter</p><p class="math-container">\[Χ  = cst\]</p><p>where <span>$\Chi$</span> is the shear heating efficiency [NoUnits]</p><p>Shear heating is computed as</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}(\dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Energy/Shearheating.jl#L23-L37">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute, use this:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">H_s = compute_shearheating(s:&lt;AbstractShearheating, τ, ε, ε_el)</code></pre><p>Computes the shear heating source term</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Energy/Shearheating.jl#L89-L104">source</a></section><section><div><pre><code class="nohighlight hljs">H_s = ComputeShearheating(s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij}\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Energy/Shearheating.jl#L107-L120">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.MaterialParameters.Shearheating.compute_shearheating!" href="#GeoParams.MaterialParameters.Shearheating.compute_shearheating!"><code>GeoParams.MaterialParameters.Shearheating.compute_shearheating!</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_shearheating!(H_s, s:&lt;AbstractShearheating,  τ, ε, ε_el)</code></pre><p>Computes the shear heating source term in-place</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij} ( \dot{\varepsilon}_{ij} - \dot{\varepsilon}^{el}_{ij})\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li><li><span>$\dot{\varepsilon}^{el}_{ij}$</span> : The full elastic deviatoric strainrate tensor</li></ul><p><em>NOTE:</em> The shear heating terms require the full deviatoric stress &amp; strain rate tensors, i.e.:</p><p class="math-container">\[2D: \tau_{ij} = \left(
+                \begin{matrix}
+                    \tau_{xx} &amp; \tau_{xz} \\
+                    \tau_{zx} &amp; \tau_{zz}
+                \end{matrix}
+            \right)\]</p><p>Since <span>$\tau_{zx}=\tau_{xz}$</span>, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used!</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Energy/Shearheating.jl#L125-L152">source</a></section><section><div><pre><code class="nohighlight hljs">compute_shearheating!(H_s, s:&lt;AbstractShearheating, τ, ε)</code></pre><p>Computes the shear heating source term <code>H_s</code> in-place when there is no elasticity</p><p class="math-container">\[H_s = \Chi \cdot \tau_{ij}  \dot{\varepsilon}_{ij}\]</p><p><strong>Parameters</strong></p><ul><li><span>$\Chi$</span> : The efficiency of shear heating (between 0-1)</li><li><span>$\tau_{ij}$</span> : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]</li><li><span>$\dot{\varepsilon}_{ij}$</span> : The full deviatoric strainrate tensor</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Energy/Shearheating.jl#L155-L168">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../radioactiveheating/">« Radioactive heat</a><a class="docs-footer-nextpage" href="../gravity/">Gravity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 19 February 2024 17:10">Monday 19 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.7/man/strengthenvelope/index.html b/v0.5.7/man/strengthenvelope/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>1D Strength Envelope · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" 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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li class="is-active"><a class="tocitem" href>1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>1D Strength Envelope</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>1D Strength Envelope</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/strengthenvelope.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="D-Strength-envelope"><a class="docs-heading-anchor" href="#D-Strength-envelope">1D Strength envelope</a><a id="D-Strength-envelope-1"></a><a class="docs-heading-anchor-permalink" href="#D-Strength-envelope" title="Permalink"></a></h1><p>We provide a routine for computing a 1D strength envelope and the tools for setting up a temperature structure and lithostatic pressure profile.</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ConstTemp" href="#GeoParams.ConstTemp"><code>GeoParams.ConstTemp</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ConstTemp(T=1000)</code></pre><p>Sets a constant temperature inside the box</p><p>Parameters:</p><ul><li>T : the value</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/StrengthEnvelope/StrengthEnvelope.jl#L8-L15">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.LinTemp" href="#GeoParams.LinTemp"><code>GeoParams.LinTemp</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">LinTemp(Ttop=0, Tbot=1000)</code></pre><p>Sets a linear temperature structure from top to bottom</p><p>Parameters:</p><ul><li>Ttop: the value @ the top</li><li>Tbot: the value @ the bottom</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/StrengthEnvelope/StrengthEnvelope.jl#L33-L41">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.HalfspaceCoolTemp" href="#GeoParams.HalfspaceCoolTemp"><code>GeoParams.HalfspaceCoolTemp</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">HalfspaceCoolTemp(Tsurface=0, Tmantle=1350, Age=60, Adiabat=0)</code></pre><p>Sets a halfspace temperature structure in plate</p><p>Parameters:</p><ul><li>Tsurface: surface temperature [C]</li><li>Tmantle:  mantle temperature [C]</li><li>Age:      Thermal Age of plate [Myrs]</li><li>Adiabat:  Mantle Adiabat [K/km]</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/StrengthEnvelope/StrengthEnvelope.jl#L57-L67">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.CompTempStruct" href="#GeoParams.CompTempStruct"><code>GeoParams.CompTempStruct</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">CompTempStruct(Z, s::AbstractTempStruct)</code></pre><p>Returns a temperature vector that matches the coordinate vector and temperature structure that were passed in</p><p>Parameters:</p><ul><li>Z: vector with depth coordinates</li><li>s: Temperature structure (CostTemp, LinTemp, HalfspaceCoolTemp)</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/StrengthEnvelope/StrengthEnvelope.jl#L21-L29">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.LithPres" href="#GeoParams.LithPres"><code>GeoParams.LithPres</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">LithPres(MatParam, Phases, ρ, T, dz, g)</code></pre><p>Iteratively solves a 1D lithostatic pressure profile (compatible with temperature- and pressure-dependent densities)</p><p>Parameters:</p><ul><li>MatParam: a tuple of materials (including the following properties: Phase, Density)</li><li>Phases:   vector with the distribution of phases</li><li>ρ:        density vector for initial guess(can be zeros)</li><li>T:        temperature vector</li><li>dz:       grid spacing</li><li>g:        gravitational acceleration</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/StrengthEnvelope/StrengthEnvelope.jl#L89-L101">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.StrengthEnvelopeComp" href="#GeoParams.StrengthEnvelopeComp"><code>GeoParams.StrengthEnvelopeComp</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">StrengthEnvelopeComp(MatParam::NTuple{N, AbstractMaterialParamsStruct}, Thickness::Vector{U}, TempType::AbstractTempStruct=LinTemp(0C, 800C), ε=1e-15/s, nz::Int64=101) where {N, U}</code></pre><p>Calculates a 1D strength envelope. Pressure used for Drucker Prager plasticity is lithostatic. To visualize the results in a GUI, use StrengthEnvelopePlot.</p><p>Parameters:</p><ul><li>MatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)</li><li>Thickness: a vector listing the thicknesses of the respective layers (should carry units)</li><li>TempType:  the type of temperature profile (ConstTemp(), LinTemp(), HalfspaceCoolTemp())</li><li>ε:         background strainrate</li><li>nz:        optional argument controlling the number of points along the profile (default = 101)</li></ul><p><strong>Example:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GLMakie
+julia&gt; MatParam = (SetMaterialParams(Name=&quot;UC&quot;, Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(&quot;Wet Quartzite | Ueda et al. (2008)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;MC&quot;, Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(&quot;Plagioclase An75 | Ji and Zhao (1993)&quot;), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;LC&quot;, Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(&quot;Maryland strong diabase | Mackwell et al. (1998)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));
+julia&gt; Thickness = [15,10,15]*km;
+
+julia&gt; StrengthEnvelopeComp(MatParam, Thickness, LinTemp(), ε=1e-15/s)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/StrengthEnvelope/StrengthEnvelope.jl#L165-L187">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.StrengthEnvelopePlot" href="#GeoParams.StrengthEnvelopePlot"><code>GeoParams.StrengthEnvelopePlot</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">StrengthEnvelopePlot(MatParam, Thickness; TempType, nz)</code></pre><p>Requires GLMakie</p><p>Creates a GUI that plots a 1D strength envelope. In the GUI, temperature profile and strain rate can be adjusted. The Drucker-Prager plasticity uses lithostatic pressure.</p><p>Parameters:</p><ul><li>MatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)</li><li>Thickness: a vector listing the thicknesses of the respective layers (should carry units)</li><li>TempType:  the type of temperature profile (LinTemp=default, HalfspaceCoolTemp, ConstTemp)</li><li>nz:        optional argument controlling the number of points along the profile (default = 101)</li></ul><p><strong>Example:</strong></p><pre><code class="language-julia-repl hljs">julia&gt; using GLMakie
+julia&gt; MatParam = (SetMaterialParams(Name=&quot;UC&quot;, Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(&quot;Wet Quartzite | Ueda et al. (2008)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;MC&quot;, Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(&quot;Plagioclase An75 | Ji and Zhao (1993)&quot;), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),
+                   SetMaterialParams(Name=&quot;LC&quot;, Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(&quot;Maryland strong diabase | Mackwell et al. (1998)&quot;), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));
+julia&gt; Thickness = [15,10,15]*km;
+
+julia&gt; StrengthEnvelopePlot(MatParam, Thickness, LinTemp())</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/StrengthEnvelope/StrengthEnvelope.jl#L232-L255">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../seismicvelocity/">« Seismic Velocity</a><a class="docs-footer-nextpage" href="../plotting/">Plotting »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 19 February 2024 17:10">Monday 19 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input 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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Tables</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Tables</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/tables.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Tables"><a class="docs-heading-anchor" href="#Tables">Tables</a><a id="Tables-1"></a><a class="docs-heading-anchor-permalink" href="#Tables" title="Permalink"></a></h1><p>There are two different formats of output tables that can be produced:</p><ul><li>LaTeX (always comes with &quot;References.bib&quot; for citations)</li><li>Markdown</li></ul><h1 id="Producing-output-table"><a class="docs-heading-anchor" href="#Producing-output-table">Producing output table</a><a id="Producing-output-table-1"></a><a class="docs-heading-anchor-permalink" href="#Producing-output-table" title="Permalink"></a></h1><p><code>ParameterTable()</code> is used to produce an output table of all the material parameters in your phase(s) in LaTeX or Markdown format. All you need is a dimensional <code>phase</code> as defined in section 2. Material Parameters in the README.md of GeoParams. This <code>phase</code> should be given to <code>ParameterTable</code> as first argument. There are optional arguments which can be given in <code>ParameterTable</code>. Those are <code>format</code>, <code>filename</code> and <code>rdigits</code>. The <code>format</code> keyword determines whether your table should be in <code>LaTeX</code> or <code>Markdown</code> format (should be given as string). <code>filename</code> determines the name of the file but can also be used to save the file in a different directory other than the GeoParams package directory (should be given as string, note: no file endings needed since they will be determined by the <code>format</code> keyword!). <code>rdigits</code> gives the numbers of decimals to which all parameter values will be rounded (should be given as integer).</p><p>Example 1:</p><pre><code class="language-julia hljs">julia&gt; MatParam = SetMaterialParams(Name=&quot;Viscous Matrix&quot;, Phase=1,
+                                     Density   = ConstantDensity(),
+                                     CreepLaws = LinearViscous(η=1e23Pa*s))
+
+julia&gt; ParameterTable(MatParam, format=&quot;tex&quot;, filename=&quot;ParameterTable&quot;, rdigits=4)</code></pre><p><img src="../assets/img/LaTeX_table.PNG" alt="latex"/></p><p>Example 2:</p><pre><code class="language-julia hljs">julia&gt; ParameterTable(MatParam, format=&quot;md&quot;, filename=&quot;ParameterTable&quot;, rdigits=4)</code></pre><p><img src="../assets/img/markdown_table.PNG" alt="markdown"/></p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.ParameterTable" href="#GeoParams.Tables.ParameterTable"><code>GeoParams.Tables.ParameterTable</code></a> — <span class="docstring-category">Function</span></header><section><div><p>ParameterTable() creates a table with all parameters saved in the Phase struct. It lets you choose between &quot;latex&quot; and &quot;markdown&quot; as table formats with LaTeX as default. Creates a filename.tex or filename.md file as output. If &quot;latex&quot; is chosen a &quot;Reference.bib&quot; file will automatically be produced with all your references. Storage path by default is the GeoParams package folder. A specific storage path can be given as normal path with &quot;\filename&quot; in the end as a string. Use double backslash for subfolders. There is no file extension needed to be given.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Tables.jl#L1172-L1177">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.Phase2Dict" href="#GeoParams.Tables.Phase2Dict"><code>GeoParams.Tables.Phase2Dict</code></a> — <span class="docstring-category">Function</span></header><section><div><p>Phase2Dict() puts all parameters of a phase s in a dict.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Tables.jl#L32-L34">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.Phase2DictMd" href="#GeoParams.Tables.Phase2DictMd"><code>GeoParams.Tables.Phase2DictMd</code></a> — <span class="docstring-category">Function</span></header><section><div><p>Phase2DictMd() puts all parameters of a phase in a dict.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Tables.jl#L659-L662">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.Dict2LatexTable" href="#GeoParams.Tables.Dict2LatexTable"><code>GeoParams.Tables.Dict2LatexTable</code></a> — <span class="docstring-category">Function</span></header><section><div><p>Dict2LatexTable() writes a .tex file with all parameters from the Phase2Dict() output in a LaTeX table. rdigits will round numbers with more decimals than rdigits including numbers of 10 to power of n, n being an Integer, for representation purposes. For the exact numbers use the original implemented numbers from the creeplaws of the dict in src/CreepLaw/Data/DiffusionCreep.jl or src/CreepLaw/Data/DislocationCreep.jl.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Tables.jl#L387-L393">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.Dict2MarkdownTable" href="#GeoParams.Tables.Dict2MarkdownTable"><code>GeoParams.Tables.Dict2MarkdownTable</code></a> — <span class="docstring-category">Function</span></header><section><div><p>Dict2MarkdownTable() writes a .md file with all parameters from the Phase2DictMd() output in a Markdown table. rdigits will round numbers with more decimals than rdigits including numbers of 10 to power of n, n being an Integer, for representation purposes. For the exact numbers use the original implemented numbers from the creeplaws of the dict in src/CreepLaw/Data/DiffusionCreep.jl or src/CreepLaw/Data/DislocationCreep.jl.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Tables.jl#L987-L992">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.Tables.detachFloatfromExponent" href="#GeoParams.Tables.detachFloatfromExponent"><code>GeoParams.Tables.detachFloatfromExponent</code></a> — <span class="docstring-category">Function</span></header><section><div><p>detachFloatfromExponent() returns the number of float decimals after the comma as Integer, the float number without the exponent as string and the exponent after the &quot;e&quot; as string. The argument output returns &quot;1&quot; for &quot;ex&quot; if the input number has no exponent.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Tables.jl#L11-L16">source</a></section></article></article><nav class="docs-footer"><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 19 February 2024 17:10">Monday 19 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.7/man/viscosity/index.html b/v0.5.7/man/viscosity/index.html
new file mode 100644
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--- /dev/null
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@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Viscosity · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">User Guide</span><ul><li><a class="tocitem" href="../geounit/">GeoUnit</a></li><li><a class="tocitem" href="../nondimensionalize/">Nondimensionalization</a></li><li><a class="tocitem" href="../materialparameters/">Material Parameters</a></li><li><a class="tocitem" href="../density/">Density</a></li><li><a class="tocitem" href="../creeplaws/">Creep laws</a></li><li><a class="tocitem" href="../customrheology/">Custom rheology</a></li><li class="is-active"><a class="tocitem" href>Viscosity</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../elasticity/">Elasticity</a></li><li><a class="tocitem" href="../plasticity/">Plasticity</a></li><li><a class="tocitem" href="../heatcapacity/">Heat Capacity</a></li><li><a class="tocitem" href="../conductivity/">Conductivity</a></li><li><a class="tocitem" href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li><a class="tocitem" href="../zirconages/">Zircon Ages</a></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Viscosity</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Viscosity</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/viscosity.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Effective-viscosity-computations"><a class="docs-heading-anchor" href="#Effective-viscosity-computations">Effective viscosity computations</a><a id="Effective-viscosity-computations-1"></a><a class="docs-heading-anchor-permalink" href="#Effective-viscosity-computations" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>A number of viscosity parameterisations are implemented, which can be set with:</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>LinearViscous</code>. Check Documenter&#39;s build log for details.</p></div></div><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>LinearMeltViscosity,  DiffusionCreep,  DislocationCreep,  ConstantElasticity,  DruckerPrager,  ArrheniusType,  GrainBoundarySliding,  PeierlsCreep,  NonLinearPeierlsCreep</code>. Check Documenter&#39;s build log for details.</p></div></div><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>To compute the viscosity given stress of strainrate use:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.compute_viscosity_εII" href="#GeoParams.compute_viscosity_εII"><code>GeoParams.compute_viscosity_εII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_viscosity_εII(s::AbstractConstitutiveLaw, εII, kwargs...)</code></pre><p>Compute effective viscosity given a 2nd invariant of the deviatoric strain rate tensor, extra parameters are passed as a named tuple, e.g., (;T=T) </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Viscosity/Viscosity.jl#L13-L17">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.compute_viscosity_τII" href="#GeoParams.compute_viscosity_τII"><code>GeoParams.compute_viscosity_τII</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">compute_viscosity_τII(s::AbstractConstitutiveLaw, τII, kwargs...)</code></pre><p>Compute effective viscosity given a 2nd invariant of the deviatoric stress tensor and, extra parameters are passed as a named tuple, e.g., (;T=T) </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/Viscosity/Viscosity.jl#L26-L30">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../customrheology/">« Custom rheology</a><a class="docs-footer-nextpage" href="../elasticity/">Elasticity »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 19 February 2024 17:10">Monday 19 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
diff --git a/v0.5.7/man/zirconages/index.html b/v0.5.7/man/zirconages/index.html
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Zircon Ages · GeoParams.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="GeoParams.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">GeoParams.jl</a></span></div><form class="docs-search" action="../../search/"><input 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href="../latentheat/">Latent heat</a></li><li><a class="tocitem" href="../radioactiveheating/">Radioactive heat</a></li><li><a class="tocitem" href="../shearheating/">Shear heating</a></li><li><a class="tocitem" href="../gravity/">Gravity</a></li><li><a class="tocitem" href="../melting/">Partial Melting</a></li><li><a class="tocitem" href="../TASclassification/">TAS classification</a></li><li class="is-active"><a class="tocitem" href>Zircon Ages</a><ul class="internal"><li class="toplevel"><a class="tocitem" href="#Methods"><span>Methods</span></a></li><li class="toplevel"><a class="tocitem" href="#Computational-routines"><span>Computational routines</span></a></li></ul></li><li><a class="tocitem" href="../phasediagrams/">Phase Diagrams</a></li><li><a class="tocitem" href="../seismicvelocity/">Seismic Velocity</a></li><li><a class="tocitem" href="../strengthenvelope/">1D Strength Envelope</a></li></ul></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../listfunctions/">List of functions</a></li><li><a class="tocitem" href="../contributing/">Contributing</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">User Guide</a></li><li class="is-active"><a href>Zircon Ages</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Zircon Ages</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/main/docs/src/man/zirconages.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Zircon-age-parameterizations"><a class="docs-heading-anchor" href="#Zircon-age-parameterizations">Zircon age parameterizations</a><a id="Zircon-age-parameterizations-1"></a><a class="docs-heading-anchor-permalink" href="#Zircon-age-parameterizations" title="Permalink"></a></h1><h1 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h1><p>Zircons are one of the ways in which we can date the age &amp; activity of magmatic systems. Here, we provide a computational routine that computes the zircon age distribution from temperature-time paths</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.ZirconAgeData" href="#GeoParams.ZirconAges.ZirconAgeData"><code>GeoParams.ZirconAges.ZirconAgeData</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">ZirconAgeData</code></pre><p>Struct that holds default parameters for the calculations</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/ZirconAge/ZirconAges.jl#L27-L31">source</a></section></article><h1 id="Computational-routines"><a class="docs-heading-anchor" href="#Computational-routines">Computational routines</a><a id="Computational-routines-1"></a><a class="docs-heading-anchor-permalink" href="#Computational-routines" title="Permalink"></a></h1><p>There is one main routine with which you can compute zircon age probability density functions from a range of temperature-ime paths:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.compute_zircon_age_PDF" href="#GeoParams.ZirconAges.compute_zircon_age_PDF"><code>GeoParams.ZirconAges.compute_zircon_age_PDF</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">time_Ma, PDF_zircons, time_Ma_average, PDF_zircon_average, time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF = compute_zircon_age_PDF(time_years_vecs::Vector{Vector}, Tt_paths_Temp_vecs::Vector{Vector}; ZirconData::ZirconAgeData = ZirconAgeData(), bandwidth=bandwidth, n_analyses=300)</code></pre><p>This computes the PDF (probability density function) with zircon age data from Vectors with Tt-paths	</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/ZirconAge/ZirconAges.jl#L296-L301">source</a></section></article><p>This, in turn, calls two other routines:</p><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.compute_zircons_Ttpath" href="#GeoParams.ZirconAges.compute_zircons_Ttpath"><code>GeoParams.ZirconAges.compute_zircons_Ttpath</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF =  compute_zircons_Ttpath(time_years::AbstractArray{Float64,1}, Tt_paths_Temp::AbstractArray{Float64,2}; ZirconData::ZirconAgeData)</code></pre><p>This computes the number of zircons produced from a series of temperature-time path&#39;s.  The Tt-paths are stored in a 2D matrix <code>Tt_paths_Temp</code> with rows being the temperature at time <code>time_years</code>.</p><p><strong>Input:</strong></p><ul><li><code>time_years</code> : vector of length <code>nt</code> with the time in years (since the beginning of the simulation) of the points provided</li><li><code>Tt_paths_Temp</code> : array of size <code>(nt,npaths)</code>` with the temperature of every path.</li></ul><p>Output:</p><ul><li><code>prob</code> : a vector that gives the relative probability that a zircon with a given age exists</li><li><code>ages_eruptible</code> : age of eruptble magma</li><li><code>number_zircons</code> : 1D array of size <code>(nt,)</code></li><li><code>T_av_time</code>: vector of size <code>nt</code> that contains the average T of the paths</li><li><code>T_sd_time</code>: vector of size <code>nt</code> that contains the standard deviation of the T of the paths</li><li><code>cumPDF</code>: vector of size <code>nt</code> that contains the cumulative probability density function that we have an age of less than a certain one in the samples</li></ul><p>This routine was developed based on an R-routine provided as electronic supplement in the paper:</p><ul><li>Weber, G., Caricchi, L., Arce, J.L., Schmitt, A.K., 2020. Determining the current size and state of subvolcanic magma reservoirs. Nat Commun 11, 5477. https://doi.org/10.1038/s41467-020-19084-2</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/ZirconAge/ZirconAges.jl#L98-L120">source</a></section><section><div><pre><code class="nohighlight hljs">time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF  = compute_zircons_Ttpath(time_years_vecs::Vector{Vector{Float64}}, Tt_paths_Temp::Vector{Vector{Float64}}; ZirconData::ZirconAgeData = ZirconAgeData())</code></pre><p>This accepts Vector{Vector} as input for time and temperature of each Tt-path. Here, the length of the vector can be variable between different points.</p><p>Internally, we interpolate this into a 2D matrix and a longer vector that includes all paths and a single vector with times </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/ZirconAge/ZirconAges.jl#L205-L212">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="GeoParams.ZirconAges.zircon_age_PDF" href="#GeoParams.ZirconAges.zircon_age_PDF"><code>GeoParams.ZirconAges.zircon_age_PDF</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">zircon_age_PDF(ages_eruptible::AbstractArray{Float64,1}, number_zircons::AbstractArray{Float64,2}, bandwidth=1e5, n_analyses=300, ZirconData::ZirconAgeData)</code></pre><p>Compute probability density functions for zircon age path&#39;s describes in <code>number_zircons</code> with age <code>ages_eruptible</code> (both computed ). <code>bandwidth</code> is the smoothening window of the resulting curves (in years), whereas <code>n_analyses</code> are the number of analyses done. 	</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaGeodynamics/GeoParams.jl/blob/4f2fcb7657a2d276acd67c0241d31f8adae76bcc/src/ZirconAge/ZirconAges.jl#L256-L260">source</a></section></article><p>We also provide a plotting routine, provided the GLMakie.jl package is loaded, which produces figures such as: <img src="../assets/img/ZirconAge_PDF.png" alt="subet3"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../TASclassification/">« TAS classification</a><a class="docs-footer-nextpage" href="../phasediagrams/">Phase Diagrams »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 19 February 2024 17:10">Monday 19 February 2024</span>. 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The interpolation object is directly encoded in the PhaseDiagram_LookupTable` object.  \n\n\n\n\n\n","category":"function"},{"location":"man/phasediagrams/#GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","page":"Phase Diagrams","title":"GeoParams.MaterialParameters.PhaseDiagrams.PhaseDiagram_LookupTable","text":"Contains data of a Phase Diagram that is regularly spaced in P & T\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#MaterialParameters","page":"Material Parameters","title":"MaterialParameters","text":"","category":"section"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"Material properties for a given phase can be set with SetMaterialParams, whereas all properties are  stored in the MaterialParams structure. Information about the material parameter is found at MaterialParamsInfo. This can be employed ","category":"page"},{"location":"man/materialparameters/","page":"Material Parameters","title":"Material Parameters","text":"MaterialParamsInfo\nSetMaterialParams\nMaterialParams","category":"page"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParamsInfo","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParamsInfo","text":"MaterialParamsInfo\n\nStructure that holds information (Equation, Comment, BibTex_Reference) about a given material parameter, which can be used to create parameter tables, documentation etc.\n\nUsually used in combination with param_info(the_parameter_of_interest)\n\n\n\n\n\n","category":"type"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.SetMaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.SetMaterialParams","text":"SetMaterialParams(; Name::String=\"\", Phase::Int64=1,\n                    Density             =   nothing, \n                    Gravity             =   nothing,\n                    CreepLaws           =   nothing, \n                    Elasticity          =   nothing, \n                    Plasticity          =   nothing, \n                    CompositeRheology   =   nothing,\n                    Conductivity        =   nothing, \n                    HeatCapacity        =   nothing, \n                    RadioactiveHeat     =   nothing,\n                    LatentHeat          =   nothing,\n                    ShearHeat           =   nothing,\n                    Melting             =   nothing,\n                    SeismicVelocity     =   nothing,\n                    CharDim::GeoUnits   =   nothing)\n\nSets material parameters for a given phase. \n\nIf CharDim is specified the input parameters are non-dimensionalized.   Note that if Density is specified, we also set Gravity even if not explicitly listed\n\nExamples\n\nDefine two viscous creep laws & constant density:\n\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\",\n                       Density   = ConstantDensity(),\n                       CreepLaws = (PowerlawViscous(), LinearViscous(η=1e21Pa*s)))\nPhase 1 : Viscous Matrix\n        | [dimensional units]\n        | \n        |-- Density           : Constant density: ρ=2900 kg m⁻³ \n        |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n        |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  \n        |                       Linear viscosity: η=1.0e21 Pa s\n\nDefine two viscous creep laws & P/T dependent density and nondimensionalize\n\njulia> CharUnits_GEO   =   GEO_units(viscosity=1e19, length=1000km);\njulia> Phase = SetMaterialParams(Name=\"Viscous Matrix\", Phase=33,\n                              Density   = PT_Density(),\n                              CreepLaws = (PowerlawViscous(n=3), LinearViscous(η=1e23Pa*s)),\n                              CharDim   = CharUnits_GEO)\nPhase 33: Viscous Matrix\n        | [non-dimensional units]\n        | \n        |-- Density           : P/T-dependent density: ρ0=2.9e-16, α=0.038194500000000006, β=0.01, T0=0.21454659702313156, P0=0.0 \n        |-- Gravity           : Gravitational acceleration: g=9.810000000000002e18 \n        |-- CreepLaws         : Powerlaw viscosity: η0=0.1, n=3, ε0=0.001  \n        |                       Linear viscosity: η=10000.0 \n\nYou can also create an array that holds several parameters:\n\njulia> MatParam        =   Array{MaterialParams, 1}(undef, 2);\njulia> Phase           =   1;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Upper Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                            Density  = ConstantDensity(ρ=2900kg/m^3));\njulia> Phase           =   2;\njulia> MatParam[Phase] =   SetMaterialParams(Name=\"Lower Crust\", Phase=Phase,\n                            CreepLaws= (PowerlawViscous(n=5), LinearViscous(η=1e21Pa*s)),\n                            Density  = PT_Density(ρ0=3000kg/m^3));\njulia> MatParam\n2-element Vector{MaterialParams}:\n Phase 1 : Upper Crust\n    | [dimensional units]\n    | \n    |-- Density           : Constant density: ρ=2900 kg m⁻³ \n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=2.0, ε0=1.0e-15 s⁻¹  \n    |                       Linear viscosity: η=1.0e23 Pa s \n                            \n Phase 2 : Lower Crust\n    | [dimensional units]\n    | \n    |-- Density           : P/T-dependent density: ρ0=3000 kg m⁻³, α=3.0e-5 K⁻¹, β=1.0e-9 Pa⁻¹, T0=0 °C, P0=0 MPa \n    |-- Gravity           : Gravitational acceleration: g=9.81 m s⁻² \n    |-- CreepLaws         : Powerlaw viscosity: η0=1.0e18 Pa s, n=5, ε0=1.0e-15 s⁻¹  \n    |                       Linear viscosity: η=1.0e21 Pa s \n\n\n\n\n\n","category":"function"},{"location":"man/materialparameters/#GeoParams.MaterialParameters.MaterialParams","page":"Material Parameters","title":"GeoParams.MaterialParameters.MaterialParams","text":"MaterialParams\n\nStructure that holds all material parameters for a given phase\n\n\n\n\n\n","category":"type"},{"location":"man/contributing/#Contributing","page":"Contributing","title":"Contributing","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"You can contribute for example by adding new creep laws or by adding new constitutive relationships. If you invest a bit of time now, it will save others in the community a lot of time! The simplest way to do this is by cloning the repository, and creating a new branch for your feature. Once you are happy with what you added (and after you added a test to ensure that it will keep working with future changes), create a pull request and we will evaluate & merge it.","category":"page"},{"location":"man/contributing/#Style-Guide","page":"Contributing","title":"Style Guide","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Follow the style of the surrounding text when making changes. When adding new features please try to stick to the following points whenever applicable.","category":"page"},{"location":"man/contributing/#Julia","page":"Contributing","title":"Julia","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"4-space indentation;\nmodules spanning entire files should not be indented, but modules that have surrounding code should;\nno blank lines at the start or end of files;\ndo not manually align syntax such as = or :: over adjacent lines;\nuse function ... end when a method definition contains more than one toplevel expression;\nrelated short-form method definitions don't need a new line between them;\nunrelated or long-form method definitions must have a blank line separating each one;\nsurround all binary operators with whitespace except for ::, ^, and :;\nfiles containing a single module ... end must be named after the module;\nmethod arguments should be ordered based on the amount of usage within the method body;\nmethods extended from other modules must follow their inherited argument order, not the above rule;\nexplicit return should be preferred except in short-form method definitions;\navoid dense expressions where possible e.g. prefer nested ifs over complex nested ?s;\ninclude a trailing , in vectors, tuples, or method calls that span several lines;\ndo not use multiline comments (#= and =#);\nwrap long lines as near to 92 characters as possible, this includes docstrings;\nfollow the standard naming conventions used in Base.","category":"page"},{"location":"man/contributing/#Markdown","page":"Contributing","title":"Markdown","text":"","category":"section"},{"location":"man/contributing/","page":"Contributing","title":"Contributing","text":"Use unbalanced # headers, i.e. no # on the right hand side of the header text;\ninclude a single blank line between toplevel blocks;\nunordered lists must use * bullets with two preceding spaces;\ndo not hard wrap lines;\nuse emphasis (*) and bold (**) sparingly;\nalways use fenced code blocks instead of indented blocks;\nfollow the conventions outlined in the Julia documentation page on documentation.","category":"page"},{"location":"man/latentheat/#Latent-heat","page":"Latent heat","title":"Latent heat","text":"","category":"section"},{"location":"man/latentheat/#Methods","page":"Latent heat","title":"Methods","text":"","category":"section"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"Latent heat (of crystallisation) can be implemented as a source term (usually numerically not very stable):","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"ConstantLatentHeat","category":"page"},{"location":"man/latentheat/#GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","page":"Latent heat","title":"GeoParams.MaterialParameters.LatentHeat.ConstantLatentHeat","text":"ConstantLatentHeat(Q_L=400kJ/kg)\n\nSet a constant latent heat:\n\n    Q_L  = cst\n\nwhere Q_L is the latent heat [Jkg].\n\n\n\n\n\n","category":"type"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"Alternatively, you can implement it by modifying the heat capacity, which is often numerically better.","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"Latent_HeatCapacity","category":"page"},{"location":"man/latentheat/#GeoParams.MaterialParameters.HeatCapacity.Latent_HeatCapacity","page":"Latent heat","title":"GeoParams.MaterialParameters.HeatCapacity.Latent_HeatCapacity","text":"Latent_HeatCapacity(Cp=ConstantHeatCapacity(), Q_L=400kJ/kg)\n\nThis takes the effects of latent heat into account by modifying the heat capacity in the temperature equation:\n\nrho C_p^textrmnew fracpartial Tpartial t  = fracpartial partial x_i left( k fracpartial Tpartial x_i right)  + H_s\n\nwith\n\nC_p^textrmnew  = C_p + fracpartial phipartial T Q_L\n\nwhere Q_L is the latent heat [Jkg], and fracpartial phipartial T is the derivative of the melt fraction with respect to temperature\n\n\n\n\n\n","category":"type"},{"location":"man/latentheat/#Computational-routines","page":"Latent heat","title":"Computational routines","text":"","category":"section"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"To compute with the source term, use this:","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"GeoParams.MaterialParameters.LatentHeat.compute_latent_heat","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"If you modify the heat capacity, you simply use this in your thermal computations: To compute with the source term, use this:","category":"page"},{"location":"man/latentheat/","page":"Latent heat","title":"Latent heat","text":"compute_heatcapacity","category":"page"},{"location":"man/zirconages/#Zircon-age-parameterizations","page":"Zircon Ages","title":"Zircon age parameterizations","text":"","category":"section"},{"location":"man/zirconages/#Methods","page":"Zircon Ages","title":"Methods","text":"","category":"section"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"Zircons are one of the ways in which we can date the age & activity of magmatic systems. Here, we provide a computational routine that computes the zircon age distribution from temperature-time paths","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.ZirconAgeData","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.ZirconAgeData","page":"Zircon Ages","title":"GeoParams.ZirconAges.ZirconAgeData","text":"ZirconAgeData\n\nStruct that holds default parameters for the calculations\n\n\n\n\n\n","category":"type"},{"location":"man/zirconages/#Computational-routines","page":"Zircon Ages","title":"Computational routines","text":"","category":"section"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"There is one main routine with which you can compute zircon age probability density functions from a range of temperature-ime paths:","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.compute_zircon_age_PDF","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.compute_zircon_age_PDF","page":"Zircon Ages","title":"GeoParams.ZirconAges.compute_zircon_age_PDF","text":"time_Ma, PDF_zircons, time_Ma_average, PDF_zircon_average, time_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF = compute_zircon_age_PDF(time_years_vecs::Vector{Vector}, Tt_paths_Temp_vecs::Vector{Vector}; ZirconData::ZirconAgeData = ZirconAgeData(), bandwidth=bandwidth, n_analyses=300)\n\nThis computes the PDF (probability density function) with zircon age data from Vectors with Tt-paths\t\n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"This, in turn, calls two other routines:","category":"page"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"GeoParams.compute_zircons_Ttpath\nGeoParams.zircon_age_PDF","category":"page"},{"location":"man/zirconages/#GeoParams.ZirconAges.compute_zircons_Ttpath","page":"Zircon Ages","title":"GeoParams.ZirconAges.compute_zircons_Ttpath","text":"prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF =  compute_zircons_Ttpath(time_years::AbstractArray{Float64,1}, Tt_paths_Temp::AbstractArray{Float64,2}; ZirconData::ZirconAgeData)\n\nThis computes the number of zircons produced from a series of temperature-time path's.  The Tt-paths are stored in a 2D matrix Tt_paths_Temp with rows being the temperature at time time_years.\n\nInput:\n\ntime_years : vector of length nt with the time in years (since the beginning of the simulation) of the points provided\nTt_paths_Temp : array of size (nt,npaths)` with the temperature of every path.\n\nOutput:\n\nprob : a vector that gives the relative probability that a zircon with a given age exists\nages_eruptible : age of eruptble magma\nnumber_zircons : 1D array of size (nt,)\nT_av_time: vector of size nt that contains the average T of the paths\nT_sd_time: vector of size nt that contains the standard deviation of the T of the paths\ncumPDF: vector of size nt that contains the cumulative probability density function that we have an age of less than a certain one in the samples\n\nThis routine was developed based on an R-routine provided as electronic supplement in the paper:\n\nWeber, G., Caricchi, L., Arce, J.L., Schmitt, A.K., 2020. Determining the current size and state of subvolcanic magma reservoirs. Nat Commun 11, 5477. https://doi.org/10.1038/s41467-020-19084-2\n\n\n\n\n\ntime_years, prob, ages_eruptible, number_zircons, T_av_time, T_sd_time, cumPDF  = compute_zircons_Ttpath(time_years_vecs::Vector{Vector{Float64}}, Tt_paths_Temp::Vector{Vector{Float64}}; ZirconData::ZirconAgeData = ZirconAgeData())\n\nThis accepts Vector{Vector} as input for time and temperature of each Tt-path. Here, the length of the vector can be variable between different points.\n\nInternally, we interpolate this into a 2D matrix and a longer vector that includes all paths and a single vector with times \n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/#GeoParams.ZirconAges.zircon_age_PDF","page":"Zircon Ages","title":"GeoParams.ZirconAges.zircon_age_PDF","text":"zircon_age_PDF(ages_eruptible::AbstractArray{Float64,1}, number_zircons::AbstractArray{Float64,2}, bandwidth=1e5, n_analyses=300, ZirconData::ZirconAgeData)\n\nCompute probability density functions for zircon age path's describes in number_zircons with age ages_eruptible (both computed ). bandwidth is the smoothening window of the resulting curves (in years), whereas n_analyses are the number of analyses done. \t\n\n\n\n\n\n","category":"function"},{"location":"man/zirconages/","page":"Zircon Ages","title":"Zircon Ages","text":"We also provide a plotting routine, provided the GLMakie.jl package is loaded, which produces figures such as: (Image: subet3)","category":"page"},{"location":"man/TASclassification/#TAS-rock-classification","page":"TAS classification","title":"TAS rock classification","text":"","category":"section"},{"location":"man/TASclassification/#Methods","page":"TAS classification","title":"Methods","text":"","category":"section"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"When doing coupled petrological-geodynamic modelling, the evolution of the composition of the magma is more easily understood when a rock type is given. This routine is an implementation of the TAS diagram (Total Alkali (TA) vs Silica (S)) from Le Maitre et al., 2002.","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.TASclassificationData","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.TASclassificationData","page":"TAS classification","title":"GeoParams.TASclassification.TASclassificationData","text":"TASclassificationData\n\nStruct that holds default parameters for the TAS diagram\n\n\n\n\n\n","category":"type"},{"location":"man/TASclassification/#Computational-routine","page":"TAS classification","title":"Computational routine","text":"","category":"section"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"There is one routine with which you can retrieve the index of the TAS rock-type. The routine receives as an input a compositional vector [SiO2,Na2O+K2O] in wt% and sends back an index [1-15].","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.computeTASclassification","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.computeTASclassification","page":"TAS classification","title":"GeoParams.TASclassification.computeTASclassification","text":"classIndex computeTASclassification(chemComp::AbstractArray{_T,N}, ClassTASdata::TASclassificationData)\n\nThis compute the classification of the igneous rock using TAS diagram (Total Alkali (TA) vs Silica (S)).\n\nInput:\n\nchemComp : vector rock composition in oxide wt%\n\nOutput:\n\nclassIndex : an integer [0-14] corresponding to a TAS field (TASclassificationData.litho[classIndex])\n\nThis routine was developed based the TAS classification of Le Maitre et al., 2002\n\n\n\n\n\n","category":"function"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"Using the index of the rock-type you can get the name of the corresponding volcanic rock using the following routine.","category":"page"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"GeoParams.retrieveTASrockType","category":"page"},{"location":"man/TASclassification/#GeoParams.TASclassification.retrieveTASrockType","page":"TAS classification","title":"GeoParams.TASclassification.retrieveTASrockType","text":"retrieveTASrockType(index::Int64; ClassTASdata::TASclassificationData = TASclassificationData())\n\nThis retrieves the name of the volcanic rock-type using the computed index\n\nInput:\n\nindex : integer [1-15]\n\nOutput:\n\nlitho : a string of the name of corresponding volcanic rock\n\n\n\n\n\n","category":"function"},{"location":"man/TASclassification/","page":"TAS classification","title":"TAS classification","text":"We also provide a plotting routine, provided the GLMakie.jl package is loaded, which produces figures such as: (Image: subet3)","category":"page"},{"location":"man/radioactiveheating/#Radioactive-heat","page":"Radioactive heat","title":"Radioactive heat","text":"","category":"section"},{"location":"man/radioactiveheating/#Methods","page":"Radioactive heat","title":"Methods","text":"","category":"section"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"Radioactive heat sources are defined as ","category":"page"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat\nGeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat\n","category":"page"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.ConstantRadioactiveHeat","text":"ConstantRadioactiveHeat(H_r=1e-6Watt/m^3)\n\nSet a constant radioactive heat:\n\n    H_r  = cst\n\nwhere H_r is the radioactive heat source [Wattm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/radioactiveheating/#GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat","page":"Radioactive heat","title":"GeoParams.MaterialParameters.RadioactiveHeat.ExpDepthDependentRadioactiveHeat","text":"ExpDepthDependent(H_0=1e-6Watt/m^3, h_r=10e3m, z_0=0m)\n\nSets an exponential depth-dependent radioactive \n\n    H_r  = H_0 exp left( - (z - z_0) over h_r right)\n\nwhere H_0 is the radioactive heat source [Wattm^3] at z=z_0 which decays with depth over a characteristic distance h_r.\n\n\n\n\n\n","category":"type"},{"location":"man/radioactiveheating/#Computational-routines","page":"Radioactive heat","title":"Computational routines","text":"","category":"section"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"To compute, use this:","category":"page"},{"location":"man/radioactiveheating/","page":"Radioactive heat","title":"Radioactive heat","text":"GeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat\nGeoParams.MaterialParameters.RadioactiveHeat.compute_radioactive_heat!","category":"page"},{"location":"man/tables/#Tables","page":"Tables","title":"Tables","text":"","category":"section"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"There are two different formats of output tables that can be produced:","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"LaTeX (always comes with \"References.bib\" for citations)\nMarkdown","category":"page"},{"location":"man/tables/#Producing-output-table","page":"Tables","title":"Producing output table","text":"","category":"section"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"ParameterTable() is used to produce an output table of all the material parameters in your phase(s) in LaTeX or Markdown format. All you need is a dimensional phase as defined in section 2. Material Parameters in the README.md of GeoParams. This phase should be given to ParameterTable as first argument. There are optional arguments which can be given in ParameterTable. Those are format, filename and rdigits. The format keyword determines whether your table should be in LaTeX or Markdown format (should be given as string). filename determines the name of the file but can also be used to save the file in a different directory other than the GeoParams package directory (should be given as string, note: no file endings needed since they will be determined by the format keyword!). rdigits gives the numbers of decimals to which all parameter values will be rounded (should be given as integer).","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"Example 1:","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"julia> MatParam = SetMaterialParams(Name=\"Viscous Matrix\", Phase=1,\n                                     Density   = ConstantDensity(),\n                                     CreepLaws = LinearViscous(η=1e23Pa*s))\n\njulia> ParameterTable(MatParam, format=\"tex\", filename=\"ParameterTable\", rdigits=4)","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"(Image: latex)","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"Example 2:","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"julia> ParameterTable(MatParam, format=\"md\", filename=\"ParameterTable\", rdigits=4)","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"(Image: markdown)","category":"page"},{"location":"man/tables/","page":"Tables","title":"Tables","text":"GeoParams.ParameterTable\nGeoParams.Phase2Dict\nGeoParams.Phase2DictMd\nGeoParams.Dict2LatexTable\nGeoParams.Dict2MarkdownTable\nGeoParams.detachFloatfromExponent","category":"page"},{"location":"man/tables/#GeoParams.Tables.ParameterTable","page":"Tables","title":"GeoParams.Tables.ParameterTable","text":"ParameterTable() creates a table with all parameters saved in the Phase struct. It lets you choose between \"latex\" and \"markdown\" as table formats with LaTeX as default. Creates a filename.tex or filename.md file as output. If \"latex\" is chosen a \"Reference.bib\" file will automatically be produced with all your references. Storage path by default is the GeoParams package folder. A specific storage path can be given as normal path with \"\\filename\" in the end as a string. Use double backslash for subfolders. There is no file extension needed to be given.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.Phase2Dict","page":"Tables","title":"GeoParams.Tables.Phase2Dict","text":"Phase2Dict() puts all parameters of a phase s in a dict.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.Phase2DictMd","page":"Tables","title":"GeoParams.Tables.Phase2DictMd","text":"Phase2DictMd() puts all parameters of a phase in a dict.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.Dict2LatexTable","page":"Tables","title":"GeoParams.Tables.Dict2LatexTable","text":"Dict2LatexTable() writes a .tex file with all parameters from the Phase2Dict() output in a LaTeX table. rdigits will round numbers with more decimals than rdigits including numbers of 10 to power of n, n being an Integer, for representation purposes. For the exact numbers use the original implemented numbers from the creeplaws of the dict in src/CreepLaw/Data/DiffusionCreep.jl or src/CreepLaw/Data/DislocationCreep.jl.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.Dict2MarkdownTable","page":"Tables","title":"GeoParams.Tables.Dict2MarkdownTable","text":"Dict2MarkdownTable() writes a .md file with all parameters from the Phase2DictMd() output in a Markdown table. rdigits will round numbers with more decimals than rdigits including numbers of 10 to power of n, n being an Integer, for representation purposes. For the exact numbers use the original implemented numbers from the creeplaws of the dict in src/CreepLaw/Data/DiffusionCreep.jl or src/CreepLaw/Data/DislocationCreep.jl.\n\n\n\n\n\n","category":"function"},{"location":"man/tables/#GeoParams.Tables.detachFloatfromExponent","page":"Tables","title":"GeoParams.Tables.detachFloatfromExponent","text":"detachFloatfromExponent() returns the number of float decimals after the comma as Integer, the float number without the exponent as string and the exponent after the \"e\" as string. The argument output returns \"1\" for \"ex\" if the input number has no exponent.\n\n\n\n\n\n","category":"function"},{"location":"man/listfunctions/#List-of-all-functions","page":"List of functions","title":"List of all functions","text":"","category":"section"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"This page details the some of the guidelines that should be followed when contributing to this package.","category":"page"},{"location":"man/listfunctions/","page":"List of functions","title":"List of functions","text":"","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity","page":"Seismic Velocity","title":"Seismic velocity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"Seismic velocity can specified in a number of ways","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.ConstantSeismicVelocity","text":"ConstantSeismicVelocity(Vp=8.1 km/s, Vs=4.5km/s)\n\nSet a constant seismic P and S-wave velocity:\n\n    V_p = cst\n\n    V_s = cst\n\nwhere V_p V_s are the P-wave and S-wave velocities [kms].\n\n\n\n\n\n","category":"type"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"In addition, you can use phase diagram lookup tables to compute seismic velocities as a function of pressure and temperature.","category":"page"},{"location":"man/seismicvelocity/#Computational-routines","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To evaluate seismic velocity within a user routine, use this:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.compute_swave_velocity!\nGeoParams.compute_pwave_velocity!\nGeoParams.compute_pwave_velocity\nGeoParams.compute_swave_velocity","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity-correction-for-partial-melt","page":"Seismic Velocity","title":"Seismic velocity correction for partial melt","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-2","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"The routine uses the reduction formulation of Clark et al., (2017) and is based on the equilibrium geometry model for the solid skeleton of Takei et al., 1998.","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-2","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute melt-content based correction for seismic waves velocities, you can use:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.melt_correction","category":"page"},{"location":"man/seismicvelocity/#Seismic-S-wave-velocity-correction-for-(shallow-depth)-porosity","page":"Seismic Velocity","title":"Seismic S-wave velocity correction for (shallow depth) porosity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-3","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"This routine is based on the equilibrium geometry model for the solid skeleton of Takei et al. (1998) and the porosity-depth empirical relationship of Chen et al. (2020)","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-3","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute porosity based correction for seismic S-wave velocity, you can use:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.porosity_correction","category":"page"},{"location":"man/seismicvelocity/#Seismic-velocity-correction-for-anelasticity","page":"Seismic Velocity","title":"Seismic velocity correction for anelasticity","text":"","category":"section"},{"location":"man/seismicvelocity/#Methods-4","page":"Seismic Velocity","title":"Methods","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"The routine uses the reduction formulation of karato (1993), using the quality factor formulation from Behn et al. (2009)","category":"page"},{"location":"man/seismicvelocity/#Computational-routines-4","page":"Seismic Velocity","title":"Computational routines","text":"","category":"section"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"To compute a correction of S-wave velocity for anelasticity, use this:","category":"page"},{"location":"man/seismicvelocity/","page":"Seismic Velocity","title":"Seismic Velocity","text":"GeoParams.anelastic_correction","category":"page"},{"location":"man/seismicvelocity/#GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction","page":"Seismic Velocity","title":"GeoParams.MaterialParameters.SeismicVelocity.anelastic_correction","text":"    Vs_anel = anelastic_correction(water::Int64, Vs0::Float64,P::Float64,T::Float64)\n\nThis routine computes a correction of S-wave velocity for anelasticity\n\nInput:\n\nwater: water flag, 0 = dry; 1 = dampened; 2 = water saturated \nVs0  : S-wave velocitiy of the solid phase (with or without melt correction)\nP    : pressure given in Pa\nT    : temperature given in °K\n\nOutput:\n\nVs_anel : corrected S-wave velocity for anelasticity\n\nThe routine uses the reduction formulation of Karato (1993), using the quality factor formulation from Behn et al. (2009)\n\nReferences:\n\nKarato, S. I. (1993). Importance of anelasticity in the interpretation of seismic tomography. Geophysical research letters, 20(15), 1623-1626.\nBehn, M. D., Hirth, G., & Elsenbeck II, J. R. (2009). Implications of grain size evolution on the seismic structure of the oceanic upper mantle. Earth and Planetary Science Letters, 282(1-4), 178-189.\n\n\n\n\n\n","category":"function"},{"location":"man/plasticity/#Plasticity","page":"Plasticity","title":"Plasticity","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"Plasticity is a non-linear rheology that is activated once stresses exceed a certain yield criteria.","category":"page"},{"location":"man/plasticity/#Implemented-laws","page":"Plasticity","title":"Implemented laws","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"The following plastic law are implemented:","category":"page"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"GeoParams.MaterialParameters.Plasticity.DruckerPrager\nGeoParams.MaterialParameters.Plasticity.DruckerPrager_regularised","category":"page"},{"location":"man/plasticity/#Computational-routines","page":"Plasticity","title":"Computational routines","text":"","category":"section"},{"location":"man/plasticity/","page":"Plasticity","title":"Plasticity","text":"Usually, plasticity should be defined as part of a CompositeRheology structure and calculations can be done as with all other rheology computations by using compute_τII.","category":"page"},{"location":"man/plotting/#Plotting","page":"Plotting","title":"Plotting","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"We provide a number of plotting routines. Note that these plotting routines only become available once the GLMakie package is loaded.","category":"page"},{"location":"man/plotting/#Plot-CreepLaws","page":"Plotting","title":"Plot CreepLaws","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"GeoParams.PlotStressStrainrate_CreepLaw\nGeoParams.PlotHeatCapacity\nGeoParams.PlotConductivity\nGeoParams.PlotMeltFraction\nGeoParams.PlotPhaseDiagram\nGeoParams.PlotDeformationMap","category":"page"},{"location":"man/geounit/#GeoUnit","page":"GeoUnit","title":"GeoUnit","text":"","category":"section"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Most parameters have physical units (100km, 9.81 ms⁻²). Yet, within numerical solvers it is usually not a good idea to compute with the actual SI units as they (at least in geosciences) tend to result in very large/small numbers, which can cause in roundoff errors.  Therefore, we usually convert the dimensional units into non-dimensional ones befeore starting computations. The results can than be converted back to more convenient units for us when we generate the output (plots, for example).","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"This requires a way to store the dimensions of a parameter, but also, once they are made nondimensional, the original units (otherwise we can't convert them back to dimensional values).","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"For that reason, we use the GeoUnit structure, defined as ","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"struct GeoUnit{T,U}\n    val          :: T\n    unit         :: U\n    isdimensional:: Bool\nend","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"You can define a GeoUnit as:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> a = GeoUnit(100km)\nGeoUnit{dimensional, km}, \n100.0\njulia> b=GeoUnit(100s)\nGeoUnit{dimensional, s}, \n100.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Dividing the two gives the expected result","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> c=a/b\nGeoUnit{dimensional, km s⁻¹·⁰}, \n1.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Can also be a vector:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> T = GeoUnit(100K:10.0K:1000K)\nGeoUnit{dimensional, K}, \n100.0:10.0:1000.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"The numerical value is obtained with:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> NumValue(c)\n1.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"It's unit with","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> Unit(c)\nkm s⁻¹·⁰","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"and the value with unit with","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> Value(c)\n1.0 km s⁻¹·⁰","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"If you multiply or divide a GeoUnit with a normal number, we assume that you are no longer interested in the units and you'll get a Float64:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> c*100\n100.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"The value of the GeoUnit struct becomes clear once we non-dimensionalize it (as explained in more detail in a separate page). For that, first specify which characteristic values you want to use for non-dimensionalisation: ","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> CharDim = GEO_units(length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas);","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Let's define a stress:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> σ=GeoUnit(10MPa)\nGeoUnit{dimensional, MPa}, \n10.0","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"And transfer it to nondimensional units:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> σ_nd = nondimensionalize(σ,CharDim)\nGeoUnit{nondimensional, MPa}, \n0.9999999999999998","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"Instead of 1e7 Pa, we now have 1.0; yet at the same time we know that the original unit of σ_nd was in MPa, which allows to transfer it back to dimensional units:","category":"page"},{"location":"man/geounit/","page":"GeoUnit","title":"GeoUnit","text":"julia> dimensionalize(σ_nd,CharDim)\nGeoUnit{dimensional, MPa}, \n10.0","category":"page"},{"location":"man/creeplaws/#CreepLaws","page":"Creep laws","title":"CreepLaws","text":"","category":"section"},{"location":"man/creeplaws/#Implemented-creep-laws","page":"Creep laws","title":"Implemented creep laws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"The following viscous creep laws are implemented:","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"GeoParams.LinearViscous\nGeoParams.PowerlawViscous\nGeoParams.DislocationCreep\nGeoParams.SetDislocationCreep\nGeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep\nGeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.LinearViscous","text":"LinearViscous(η=1e20Pa*s)\n\nDefines a linear viscous creeplaw \n\nThe (isotopic) linear viscous rheology is given by  \n\n    tau_ij = 2 eta dotvarepsilon_ij \n\nor\n\n    dotvarepsilon_ij  = tau_ij  over 2 eta \n\nwhere eta_0 is the reference viscosity [Pa*s] at reference strain rate dotvarepsilon_0[1/s], and n the power law exponent []. \n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.PowerlawViscous","text":"PowerlawViscous(η0=1e18Pa*s, n=2.0NoUnits, ε0=1e-15/s)\n\nDefines a power law viscous creeplaw as: \n\n    tau_ij^n  = 2 eta_0 left( dotvarepsilon_ij over dotvarepsilon_0 right)\n\nwhere eta is the effective viscosity [Pa*s].\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.DislocationCreep","text":"DislocationCreep(n = 1.0NoUnits, r = 0.0NoUnits, A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )\n\nDefines the flow law parameter of a dislocation creep law.\n\nThe (isotropic) dislocation creep law, as used by experimentalists, is given by  \n\n     dotgamma = A sigma_mathrmd^n f_mathrmH2O^r expleft(-fracE+PVRTright)\n\nwhere \n\nn is the power law exponent  \nr is the exponent of fugacity dependence \nA is a pre-exponential factor mathrmMPa^-ns^-1 (if manually defined, n and r must be either pre-defined or substituted) \nE is the activation energy mathrmkJmol \nV is the activation volume mathrmm^3mol \ndotgamma is the strain rate mathrm1s \nsigma_mathrmd is the differential stress mathrmMPa which are converted into second invariants using the Apparatus variable that can be\n\neither AxialCompression, SimpleShear or Invariant. If the flow law parameters are already given as a function of second invariants, choose Apparatus=Invariant.\n\nExample\n\njulia> x2 = DislocationCreep(n=3)\nDislocationCreep: n=3, r=0.0, A=1.5 MPa^-3 s^-1, E=476.0 kJ mol^-1, V=6.0e-6 m^3 mol^-1, Apparatus=AxialCompression\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.DiffusionCreep","text":"DiffusionCreep(r = 0NoUnits, p = A = 1.5MPa/s, E = 476.0kJ/mol, V = 6e-6m^3/mol, apparatus = AxialCompression )\n\nDefines the flow law parameter of a dislocation creep law.\n\nThe (isotropic) diffusion creep law, as used by experimentalists, is given by  \n\n     dotgamma = A sigma_mathrmd d^mathrmp f_mathrmH2O^r expleft(-fracE+PVRTright)\n\nwhere \n\nr is the exponent of fugacity dependence \np is the exponent of grain size\nA is a pre-exponential factor mathrmMPa^-ns^-1 (if manually defined, n and r must be either pre-defined or substituted) \nE is the activation energy mathrmkJmol \nV is the activation volume mathrmm^3mol \ndotgamma is the strain rate mathrm1s \nsigma_mathrmd is the differential stress mathrmMPa\n\nThe experimental parameters are converted into second invariants using the Apparatus variable that can be either AxialCompression, SimpleShear or Invariant. If the flow law parameters are already given as a function of second invariants, choose Apparatus=Invariant.\n\nExample\n\njulia> x2 = DiffusionCreep(Name=\"test\")\nDiffusionCreep: Name = test, n=1.0, r=0.0, p=-3.0, A=1.5 m³·⁰ MPa⁻¹·⁰ s⁻¹·⁰, E=500.0 kJ mol⁻¹·⁰, V=2.4e-5 m³·⁰ mol⁻¹·⁰, FT=1.7320508075688772, FE=1.1547005383792517)\n\n\n\n\n\n","category":"type"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.SetDiffusionCreep","text":"SetDiffusionCreep[\"Name of Diffusion Creep\"]\n\nThis is a dictionary with pre-defined creep laws    \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#Computational-routines-for-creep-laws","page":"Creep laws","title":"Computational routines for creep laws","text":"","category":"section"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"Once a creep rheology is defined, we can use the following routines to perform computations within the solvers","category":"page"},{"location":"man/creeplaws/","page":"Creep laws","title":"Creep laws","text":"CreepLawVariables\nGeoParams.compute_εII\nGeoParams.compute_εII!\nGeoParams.compute_τII\nGeoParams.compute_τII!\nGeoParams.CorrectionFactor\nGeoParams.RemoveTensorCorrection","category":"page"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII","text":"compute_εII(a::DiffusionCreep, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)\n\nReturns diffusion creep strainrate as a function of 2nd invariant of the stress tensor tau_II \n\n    dotε_II = A τ_II^n d^p f_H_2O^r exp left(- E + PV over RT right)\n\n\n\n\n\ncompute_εII(a::GrainBoundarySliding, TauII::_T; T::_T, P=one(_T), f=one(_T), d=one(_T), kwargs...)\n\nReturns grain boundary sliding strainrate as a function of 2nd invariant of the stress tensor tau_II \n\n    dotε_II = A τ_II^n d^p exp left(- E + PV over RT right)  ÄNDERN\n\n\n\n\n\ncompute_εII(s::ConstantElasticity{_T}, τII; τII_old, dt)\n\nComputes elastic strainrate given the deviatoric stress at the current (τII) and old timestep (τII_old), for a timestep dt:\n\n    dotvarepsilon^el = 1 over 2 G D tau_II over Dt   1 over 2 G tau_II- tildetau_II^old over dt \n\nNote that we here solve the scalar equation, which is sufficient for isotropic cases. In tensor form, it would be\n\n    dotvarepsilon^el_ij = 1 over 2 G  tau_ij - tildetau_ij^old over dt \n\nhere tildetau_ij^old is the rotated old deviatoric stress tensor to ensure objectivity (this can be done with Jaumann derivative, or also by using the full rotational formula).\n\n\n\n\n\ncompute_εII(p::DruckerPrager{_T,U,U1}, λdot::_T, τII::_T,  P)\n\nThis computes plastic strain rate invariant for a given λdot\n\n\n\n\n\ncompute_εII(p::DruckerPrager_regularised{_T,U,U1}, λdot::_T, τII::_T,  P)\n\nThis computes plastic strain rate invariant for a given λdot\n\n\n\n\n\ncompute_εII(v::Parallel{T,N}, τII, args; tol=1e-6, verbose=false, n=1)\n\nComputing εII as a function of τII for a Parallel elements is (usually) a nonlinear problem\n\n\n\n\n\ncompute_εII(v::CompositeRheology{T,N}, τII, args; tol=1e-6, verbose=false, n=1)\n\nComputing εII as a function of τII for a composite element is the sum of the individual contributions\n\n\n\n\n\ncompute_εII(v::AbstractPlasticity, τII::_T, args; tol=1e-6, verbose=true)\n\nPerforms local iterations to compute the plastic strainrate. Note that the non-plastic strainrate, ε_np, should be part of args\n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_εII!","text":"compute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)\n\nComputes strainrate as a function of stress\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, a, TauII::AbstractArray{_T,N}; T, P, f,d,kwargs...)\n\nComputes strainrate as a function of stress\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, s::LinearMeltViscosity, TauII::AbstractArray{_T,N}; T, kwargs...)\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, s::ViscosityPartialMelt_Costa_etal_2009, TauII::AbstractArray{_T,N}; T, kwargs...)\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, s::LinearViscous, TauII::AbstractArray{_T,N})\n\n\n\n\n\ncompute_εII!(EpsII::AbstractArray{_T,N}, s::ArrheniusType, TauII::AbstractArray{_T,N})\n\n\n\n\n\ncompute_εII!(ε_el::AbstractArray{_T,N}, s::ConstantElasticity{_T}; τII::AbstractArray{_T,N}, τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)\n\nIn-place computation of the elastic shear strainrate for given deviatoric stress invariants at the previous (τII_old) and new (τII) timestep, as well as the timestep dt  \n\n    dotvarepsilon^el = 1 over 2 G D tau_II over Dt   1 over 2 G tau_II- tau_II^old over dt \n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII","text":"compute_τII(a::DislocationCreep, EpsII; P, T, f, args...)\n\nComputes the stress for a Dislocation creep law given a certain strain rate\n\n\n\n\n\ncomputeCreepLaw_TauII(EpsII::_T, a::DiffusionCreep; T::_T, P=zero(_T), f=one(_T), d=one(_T), kwargs...)\n\nReturns diffusion creep stress as a function of 2nd invariant of the strain rate \n\n\n\n\n\ncomputeCreepLaw_TauII(EpsII::_T, a::GrainBoundarySliding; T::_T, P=zero(_T), d=one(_T), kwargs...)\n\nReturns grain boundary sliding stress as a function of 2nd invariant of the strain rate \n\n\n\n\n\ncompute_τII(a::PeierlsCreep, EpsII; P, T, f, args...)\n\nComputes the stress for a peierls creep law given a certain strain rate.\n\n\n\n\n\ncompute_τII(s::LinearMeltViscosity, EpsII; kwargs...)\n\nReturns second invariant of the stress tensor given a 2nd invariant of strain rate tensor\n\n\n\n\n\ncompute_τII(s::ViscosityPartialMelt_Costa_etal_2009, EpsII; kwargs...)\n\nReturns second invariant of the stress tensor given a 2nd invariant of strain rate tensor\n\n\n\n\n\ncompute_τII(s::LinearViscous, EpsII; kwargs...)\n\nReturns second invariant of the stress tensor given a 2nd invariant of strain rate tensor \n\n\n\n\n\ncompute_τII(s::ArrheniusType, EpsII; kwargs...)\n\nReturns second invariant of the stress tensor given a 2nd invariant of strain rate tensor \n\n\n\n\n\nτII = compute_τII(v::CompositeRheology{T,N}, εII, args; tol=1e-6, verbose=false)\n\n\n\n\n\n","category":"function"},{"location":"man/creeplaws/#GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!","page":"Creep laws","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.compute_τII!","text":"compute_τII!(TauII::AbstractArray{_T,N}, a::DislocationCreep, EpsII::AbstractArray{_T,N}; \n    P =       zero(TauII)::AbstractArray{_T,N}, \n    T = ones(size(TauII))::AbstractArray{_T,N}, \n    f = ones(size(TauII))::AbstractArray{_T,N})\n\nComputes the deviatoric stress invariant for a dislocation creep law\n\n\n\n\n\ncompute_τII!(TauII::AbstractArray{_T,N}, a::PeierlsCreep, EpsII::AbstractArray{_T,N}; \n    T = ones(size(TauII))::AbstractArray{_T,N}, args...)\n\nComputes the deviatoric stress invariant for a peierls creep law.\n\n\n\n\n\ncompute_τII!(τII::AbstractArray{_T,N}, s::ConstantElasticity{_T}. ε_el::AbstractArray{_T,N}; τII_old::AbstractArray{_T,N}, dt::_T, kwargs...)\n\nIn-place update of the elastic stress for given deviatoric strainrate invariants and stres invariant at the old (τII_old) timestep, as well as the timestep dt  \n\n    tau_II = 2 G dt dotvarepsilon^el + tau_II^old\n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#Heat-capacity","page":"Heat Capacity","title":"Heat capacity","text":"","category":"section"},{"location":"man/heatcapacity/#Methods","page":"Heat Capacity","title":"Methods","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"Heat capacity is defined as ","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity\nGeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.ConstantHeatCapacity","text":"ConstantHeatCapacity(Cp=1050J/mol/kg)\n\nSet a constant heat capacity:\n\n    Cp  = cst\n\nwhere Cp is the thermal heat capacity [JkgK].\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.T_HeatCapacity_Whittington","text":"T_HeatCapacity_Whittington()\n\nSets a temperature-dependent heat capacity following the parameterization of Whittington et al. (2009), Nature:\n\n    Cp = (a + b T - cT^2)m\n\nwhere Cp is the heat capacity [JkgK], and abc are parameters that dependent on the temperature T [K]:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nmolmass =   0.22178kg/mol\n\nNote that this is slightly different than the equation in the manuscript, as Cp is in J/kg/K (rather than JmolK as in eq.3/4 of the paper)\n\n\n\n\n\n","category":"type"},{"location":"man/heatcapacity/#Computational-routines","page":"Heat Capacity","title":"Computational routines","text":"","category":"section"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"To compute, use this:","category":"page"},{"location":"man/heatcapacity/","page":"Heat Capacity","title":"Heat Capacity","text":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity\nGeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","category":"page"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity","text":"Cp = compute_heatcapacity(s:<AbstractHeatCapacity, P, T)\n\nReturns the heat capacity Cp at any temperature T and pressure P using any of the heat capacity laws implemented.\n\nCurrently available:\n\nConstantHeatCapacity\nT_HeatCapacity_Whittington\nLatent_HeatCapacity\n\nExample\n\nUsing dimensional units\n\njulia> T = 250.0:100:1250\njulia> Cp2 = T_HeatCapacity_Whittington()\njulia> Cp = similar(T)\njulia> args = (; T=T)\njulia> Cp =compute_heatcapacity!(Cp, Cp2, args)\n11-element Vector nitful.Quantity{Float64, 𝐋² 𝚯⁻¹ 𝐓⁻², Unitful.FreeUnits{(kg⁻¹, J, K⁻¹), 𝐋² 𝚯⁻¹ 𝐓⁻², nothing}}}:\n635.4269997294616 J kg⁻¹ K⁻¹\n850.7470171764261 J kg⁻¹ K⁻¹\n962.0959598489883 J kg⁻¹ K⁻¹\n1037.542043377064 J kg⁻¹ K⁻¹\n1097.351792196648 J kg⁻¹ K⁻¹\n1149.274556367170 J kg⁻¹ K⁻¹\n1157.791505094840 J kg⁻¹ K⁻¹\n1172.355487419726 J kg⁻¹ K⁻¹\n1186.919469744596 J kg⁻¹ K⁻¹\n1201.483452069455 J kg⁻¹ K⁻¹\n1216.0474343943067 J kg⁻¹ K⁻¹\n\n\n\n\n\n","category":"function"},{"location":"man/heatcapacity/#GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","page":"Heat Capacity","title":"GeoParams.MaterialParameters.HeatCapacity.compute_heatcapacity!","text":"compute_heatcapacity!(Cp::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat})\n\nIn-place computation of heat capacity Cp for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#Melting-Parameterizations","page":"Partial Melting","title":"Melting Parameterizations","text":"","category":"section"},{"location":"man/melting/#Methods","page":"Partial Melting","title":"Methods","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"A number of melting parameterisations are implemented, which can be set with:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.MeltingParam_Caricchi\nGeoParams.MeltingParam.MeltingParam_Smooth3rdOrder\nGeoParams.MeltingParam.MeltingParam_5thOrder\nGeoParams.MeltingParam.MeltingParam_4thOrder\nGeoParams.MeltingParam.MeltingParam_Quadratic\nGeoParams.MeltingParam.MeltingParam_Assimilation\nGeoParams.MeltingParam.SmoothMelting","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Caricchi","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Caricchi","text":"MeltingParam_Caricchi()\n\nImplements the T-dependent melting parameterisation used by Caricchi, Simpson et al. (as for example described in Simpson)\n\n    theta = (a - (T + c)) over b\n\n    phi_melt = 10 over (10 + e^theta)\n\nNote that T is in Kelvin. As default parameters we employ:\n\nb=23K  a=800K  c=27315K\n\nWhich gives a reasonable fit to experimental data of granodioritic composition (Piwinskii and Wyllie, 1968):\n\n(Image: MeltParam_Carrichi)\n\nReferences\n\nSimpson G. (2017) Practical finite element modelling in Earth Sciences Using MATLAB.\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Smooth3rdOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Smooth3rdOrder","text":"MeltingParam_Smooth3rdOrder()\n\nImplements the a smooth 3rd order T-dependent melting parameterisation (as used by Melnik and coworkers)\n\n    x =   (T - 27315) over 10000\n\n    theta =  a + b * x + c * x^2 + d * x^3\n\n    phi_melt = 10 over (10 + e^theta)\n\nNote that T is in Kelvin. \n\nAs default parameters we employ:\n\na=5179  b=-16190 c=16990 d = -5974\n\nwhich gives a reasonable fit to experimental data for basalt.\n\nData for rhyolite are:\n\na=30430  b=-105520 c=122049 d = -47090 \n\n(Image: MeltingParam_Smooth3rdOrder) Red: Rhyolite, Blue: Basalt\n\nReferences\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_5thOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_5thOrder","text":"MeltingParam_5thOrder(a,b,c,d,e,f,T_s,T_l)\n\nUses a 5th order polynomial to describe the melt fraction phi between solidus temperature T_s and liquidus temperature T_l\n\n    phi = a T^5 + b T^4 + c T^3 + d T^2 + e T + f  textrm   for    T_s  T  T_l\n\n    phi = 1  textrm   if    TT_l\n\n    phi = 0  textrm   if    TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_5thOrder)\n\nThe default values are for a composite liquid-line-of-descent:\n\nthe upper part is for Andesite from: (Blatter, D. L. & Carmichael, I. S. (2001) Hydrous phase equilibria of a Mexican highsilica andesite: a candidate for a mantle origin? Geochim. Cosmochim. Acta 65, 4043–4065\nthe lower part is extrapolated to the granitic minimum using the Marxer & Ulmer LLD for Andesite (Marxer, F. & Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. Contributions Mineral. Petrol. 174, 84)\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_4thOrder","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_4thOrder","text":"MeltingParam_4thOrder(b,c,d,e,f,T_s,T_l)\n\nUses a 4th order polynomial to describe the melt fraction phi between solidus temperature T_s and liquidus temperature T_l\n\n    phi = b T^4 + c T^3 + d T^2 + e T + f  textrm   for    T_s  T  T_l\n\n    phi = 1 textrm   if    TT_l\n\n    phi = 0  textrm   if    TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_4thOrder)\n\nThe default values are for Tonalite experiments from Marxer and Ulmer (2019):\n\nMarxer, F. & Ulmer, P. (2019) Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study. Contributions Mineral. Petrol. 174, 84\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Quadratic","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Quadratic","text":"MeltingParam_Quadratic(T_s,T_l)\n\nQuadratic melt fraction parameterisation where melt fraction phi depends only on solidus (T_s) and liquidus (T_l) temperature:\n\n    phi = 10 - left( T_l - T over T_l - T_s right)^2\n\n    phi = 10 textrm if  TT_l\n\n    phi = 00 textrm if  TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_Quadratic)\n\nThis was used, among others, in Tierney et al. (2016) Geology\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.MeltingParam_Assimilation","page":"Partial Melting","title":"GeoParams.MeltingParam.MeltingParam_Assimilation","text":"MeltingParam_Assimilation(T_s,T_l,a)\n\nMelt fraction parameterisation that takes the assimilation of crustal host rocks into account, as used by Tierney et al. (2016) based upon a parameterisation of Spera and Bohrson (2001)\n\nHere, the fraction of molten and assimilated host rocks phi depends on the solidus (T_s) and liquidus (T_l) temperatures of the rocks, as well as on a parameter a=0005\n\n    X = left( T - T_s over T_l - T_s right)\n\n    phi = a cdot left( exp^2ln(100)X - 10 right) textrm if  X  05\n\n    phi = 1- a cdot exp^2ln(100)(1-X)  textrm if  X  05\n\n    phi = 10 textrm if  TT_l\n\n    phi = 00 textrm if  TT_s\n\nTemperature T is in Kelvin.\n\n(Image: MeltingParam_Assimilation)\n\nThis was used, among others, in Tierney et al. (2016), who employed as default parameters:\n\n   T_s=97315 T_l=117315 a=0005\n\nReferences\n\nSpera, F.J., and Bohrson, W.A., 2001, Energy-Constrained Open-System Magmatic Processes I: General Model and Energy-Constrained Assimilation and Fractional Crystallization (EC- AFC) Formulation: Journal of Petrology, v. 42, p. 999–1018.\nTierney, C.R., Schmitt, A.K., Lovera, O.M., de Silva, S.L., 2016. Voluminous plutonism during volcanic quiescence revealed by thermochemical modeling of zircon. Geology 44, 683–686. https://doi.org/10.1130/G37968.1\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#GeoParams.MeltingParam.SmoothMelting","page":"Partial Melting","title":"GeoParams.MeltingParam.SmoothMelting","text":"SmoothMelting(; p=MeltingParam_4thOrder(), k_sol=0.2/K,  k_liq=0.2/K)\n\nThis smoothens the melting parameterisation p around the solidus T_sol and liquidus T_liq using a smoothened Heaviside step functions for the solidus:\n\n    H_sol =  10 over  1 + exp( -2 k_sol (T - T_sol - 2 over k_sol) )  \n\nand liquidus:\n\n    H_liq =  10 - 10 over  1 + exp( -2 k_liq (T - T_liq + 2 over k_liq) )  \n\nThe resulting melt fraction phi is computed from the original melt fraction phi_0 (computed using one of the methods above) as:\n\n    phi =  phi_0 H_sol H_liq + 10 - H_liq\n\nThe width of the smoothening zones is controlled by k_sol k_liq (larger values = sharper boundary).\n\nThis is important, as jumps in the derivative dϕdT can cause numerical instabilities in latent heat computations, which is prevented with this smoothening.\n\nExample\n\nLet's consider a 4th order parameterisation:\n\njulia> using GLMakie, GeoParams\njulia> p = MeltingParam_4thOrder();\njulia> T= collect(650.0:1:1050.) .+ 273.15;\njulia> T,phi,dϕdT =  PlotMeltFraction(p,T=T);\n\nThe same but with smoothening:\n\njulia> p_s = SmoothMelting(p=MeltingParam_4thOrder(), k_liq=0.21/K);\n4th order polynomial melting curve: phi = -7.594512597174117e-10T^4 + 3.469192091489447e-6T^3 + -0.00592352980926T^2 + 4.482855645604745T + -1268.730161921053  963.15 K ≤ T ≤ 1270.15 K with smooth Heaviside function smoothening using k_sol=0.1 K⁻¹·⁰, k_liq=0.11 K⁻¹·⁰\njulia> T_s,phi_s,dϕdT_s =  PlotMeltFraction(p_s,T=T);\n\nWe can create plots of this with:\n\njulia> plt1 = plot(T.-273.15, phi, ylabel=\"Melt Fraction ϕ\", color=:red, label=\"original\", xlabel=\"Temperature [C]\")\njulia> plt1 = plot(plt1, T.-273.15, phi_s,  color=:black, label=\"smoothened\", legend=:bottomright)\njulia> plt2 = plot(T.-273.15, dϕdT, ylabel=\"dϕ/dT\", color=:red, label=\"original\", xlabel=\"Temperature [C]\")\njulia> plt2 = plot(plt2, T.-273.15, dϕdT_s,  color=:black, label=\"smoothened\", legend=:topright)\njulia> plot!(plt1,plt2,   xlabel=\"Temperature [C]\", layout=(2,1))\n\nThe derivative no longer has a jump now:\n\n(Image: MeltingParam_Smooth)\n\n\n\n\n\n","category":"type"},{"location":"man/melting/#Computational-routines","page":"Partial Melting","title":"Computational routines","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"To compute the melt fraction at given T and P, use:","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.compute_meltfraction!\nGeoParams.MeltingParam.compute_meltfraction","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction!","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction!","text":"compute_meltfraction!(ϕ::AbstractArray{<:AbstractFloat}, P::AbstractArray{<:AbstractFloat},T:AbstractArray{<:AbstractFloat}, p::PhaseDiagram_LookupTable)\n\nIn-place computation of melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified.\n\n\n\n\n\ncompute_meltfraction(ϕ::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#GeoParams.MeltingParam.compute_meltfraction","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_meltfraction","text":"compute_meltfraction(P,T, p::AbstractPhaseDiagramsStruct)\n\nComputes melt fraction in case we use a phase diagram lookup table. The table should have the column :meltFrac specified.\n\n\n\n\n\nϕ = compute_meltfraction(Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputation of melt fraction ϕ for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"You can also obtain the derivative of melt fraction versus temperature with (useful to compute latent heat effects):","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.MeltingParam.compute_dϕdT!\nGeoParams.MeltingParam.compute_dϕdT","category":"page"},{"location":"man/melting/#GeoParams.MeltingParam.compute_dϕdT!","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_dϕdT!","text":"compute_dϕdT!(ϕ::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputates the derivative of melt fraction ϕ versus temperature T, partial phi over partial T for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays. This is employed, for example, in computing latent heat terms in an implicit manner.\n\n\n\n\n\n","category":"function"},{"location":"man/melting/#GeoParams.MeltingParam.compute_dϕdT","page":"Partial Melting","title":"GeoParams.MeltingParam.compute_dϕdT","text":"compute_dϕdT(P,T, p::AbstractPhaseDiagramsStruct)\n\nComputes derivative of melt fraction vs T in case we use a phase diagram lookup table. The table should have the column :meltFrac specified. The derivative is computed by finite differencing.\n\n\n\n\n\nϕ = compute_dϕdT(Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},T::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nComputates the derivative of melt fraction ϕ versus temperature T for the whole domain and all phases, in case an array with phase properties MatParam is provided, along with P and T arrays. This is employed in computing latent heat terms in an implicit manner, for example\n\n\n\n\n\n","category":"function"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"Also note that phase diagrams can be imported using PerpleX_LaMEM_Diagram, which may also have melt content information. The computational routines work with that as well.","category":"page"},{"location":"man/melting/#Plotting-routines","page":"Partial Melting","title":"Plotting routines","text":"","category":"section"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"You can use the routine PlotMeltFraction to create a plot, provided that the GLMakie package has been loaded","category":"page"},{"location":"man/melting/","page":"Partial Melting","title":"Partial Melting","text":"GeoParams.PlotMeltFraction","category":"page"},{"location":"man/strengthenvelope/#D-Strength-envelope","page":"1D Strength Envelope","title":"1D Strength envelope","text":"","category":"section"},{"location":"man/strengthenvelope/","page":"1D Strength Envelope","title":"1D Strength Envelope","text":"We provide a routine for computing a 1D strength envelope and the tools for setting up a temperature structure and lithostatic pressure profile.","category":"page"},{"location":"man/strengthenvelope/","page":"1D Strength Envelope","title":"1D Strength Envelope","text":"GeoParams.ConstTemp\nGeoParams.LinTemp\nGeoParams.HalfspaceCoolTemp\nGeoParams.CompTempStruct\nGeoParams.LithPres\nGeoParams.StrengthEnvelopeComp\nGeoParams.StrengthEnvelopePlot\n![XMasTree](../assets/XMasTree.png)","category":"page"},{"location":"man/strengthenvelope/#GeoParams.ConstTemp","page":"1D Strength Envelope","title":"GeoParams.ConstTemp","text":"ConstTemp(T=1000)\n\nSets a constant temperature inside the box\n\nParameters:\n\nT : the value\n\n\n\n\n\n","category":"type"},{"location":"man/strengthenvelope/#GeoParams.LinTemp","page":"1D Strength Envelope","title":"GeoParams.LinTemp","text":"LinTemp(Ttop=0, Tbot=1000)\n\nSets a linear temperature structure from top to bottom\n\nParameters:\n\nTtop: the value @ the top\nTbot: the value @ the bottom\n\n\n\n\n\n","category":"type"},{"location":"man/strengthenvelope/#GeoParams.HalfspaceCoolTemp","page":"1D Strength Envelope","title":"GeoParams.HalfspaceCoolTemp","text":"HalfspaceCoolTemp(Tsurface=0, Tmantle=1350, Age=60, Adiabat=0)\n\nSets a halfspace temperature structure in plate\n\nParameters:\n\nTsurface: surface temperature [C]\nTmantle:  mantle temperature [C]\nAge:      Thermal Age of plate [Myrs]\nAdiabat:  Mantle Adiabat [K/km]\n\n\n\n\n\n","category":"type"},{"location":"man/strengthenvelope/#GeoParams.CompTempStruct","page":"1D Strength Envelope","title":"GeoParams.CompTempStruct","text":"CompTempStruct(Z, s::AbstractTempStruct)\n\nReturns a temperature vector that matches the coordinate vector and temperature structure that were passed in\n\nParameters:\n\nZ: vector with depth coordinates\ns: Temperature structure (CostTemp, LinTemp, HalfspaceCoolTemp)\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#GeoParams.LithPres","page":"1D Strength Envelope","title":"GeoParams.LithPres","text":"LithPres(MatParam, Phases, ρ, T, dz, g)\n\nIteratively solves a 1D lithostatic pressure profile (compatible with temperature- and pressure-dependent densities)\n\nParameters:\n\nMatParam: a tuple of materials (including the following properties: Phase, Density)\nPhases:   vector with the distribution of phases\nρ:        density vector for initial guess(can be zeros)\nT:        temperature vector\ndz:       grid spacing\ng:        gravitational acceleration\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#GeoParams.StrengthEnvelopeComp","page":"1D Strength Envelope","title":"GeoParams.StrengthEnvelopeComp","text":"StrengthEnvelopeComp(MatParam::NTuple{N, AbstractMaterialParamsStruct}, Thickness::Vector{U}, TempType::AbstractTempStruct=LinTemp(0C, 800C), ε=1e-15/s, nz::Int64=101) where {N, U}\n\nCalculates a 1D strength envelope. Pressure used for Drucker Prager plasticity is lithostatic. To visualize the results in a GUI, use StrengthEnvelopePlot.\n\nParameters:\n\nMatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)\nThickness: a vector listing the thicknesses of the respective layers (should carry units)\nTempType:  the type of temperature profile (ConstTemp(), LinTemp(), HalfspaceCoolTemp())\nε:         background strainrate\nnz:        optional argument controlling the number of points along the profile (default = 101)\n\nExample:\n\njulia> using GLMakie\njulia> MatParam = (SetMaterialParams(Name=\"UC\", Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(\"Wet Quartzite | Ueda et al. (2008)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),\n                   SetMaterialParams(Name=\"MC\", Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(\"Plagioclase An75 | Ji and Zhao (1993)\"), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),\n                   SetMaterialParams(Name=\"LC\", Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(\"Maryland strong diabase | Mackwell et al. (1998)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));\njulia> Thickness = [15,10,15]*km;\n\njulia> StrengthEnvelopeComp(MatParam, Thickness, LinTemp(), ε=1e-15/s)\n\n\n\n\n\n","category":"function"},{"location":"man/strengthenvelope/#GeoParams.StrengthEnvelopePlot","page":"1D Strength Envelope","title":"GeoParams.StrengthEnvelopePlot","text":"StrengthEnvelopePlot(MatParam, Thickness; TempType, nz)\n\nRequires GLMakie\n\nCreates a GUI that plots a 1D strength envelope. In the GUI, temperature profile and strain rate can be adjusted. The Drucker-Prager plasticity uses lithostatic pressure.\n\nParameters:\n\nMatParam:  a tuple of materials (including the following properties: Phase, Density, CreepLaws, Plasticity)\nThickness: a vector listing the thicknesses of the respective layers (should carry units)\nTempType:  the type of temperature profile (LinTemp=default, HalfspaceCoolTemp, ConstTemp)\nnz:        optional argument controlling the number of points along the profile (default = 101)\n\nExample:\n\njulia> using GLMakie\njulia> MatParam = (SetMaterialParams(Name=\"UC\", Phase=1, Density=ConstantDensity(ρ=2700kg/m^3), CreepLaws = SetDislocationCreep(\"Wet Quartzite | Ueda et al. (2008)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)),\n                   SetMaterialParams(Name=\"MC\", Phase=2, Density=Density=ConstantDensity(ρ=2900kg/m^3), CreepLaws = SetDislocationCreep(\"Plagioclase An75 | Ji and Zhao (1993)\"), Plasticity = DruckerPrager(ϕ=20.0, C=10MPa)),\n                   SetMaterialParams(Name=\"LC\", Phase=3, Density=PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-10/Pa), CreepLaws = SetDislocationCreep(\"Maryland strong diabase | Mackwell et al. (1998)\"), Plasticity = DruckerPrager(ϕ=30.0, C=10MPa)));\njulia> Thickness = [15,10,15]*km;\n\njulia> StrengthEnvelopePlot(MatParam, Thickness, LinTemp())\n\n\n\n\n\n","category":"function"},{"location":"man/elasticity/#Elasticity","page":"Elasticity","title":"Elasticity","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"Elasticity is, in geodynamics, often used in combination with viscous and plastic rheology.","category":"page"},{"location":"man/elasticity/#Implemented-laws","page":"Elasticity","title":"Implemented laws","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"We provide the following elastic constitutive relationships:","category":"page"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"GeoParams.ConstantElasticity\nGeoParams.SetConstantElasticity","category":"page"},{"location":"man/elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity","page":"Elasticity","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.ConstantElasticity","text":"ConstantElasticity(G, ν, K, E)\n\nStructure that holds parameters for constant, isotropic, linear elasticity.\n\n\n\n\n\n","category":"type"},{"location":"man/elasticity/#GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity","page":"Elasticity","title":"GeoParams.MaterialParameters.ConstitutiveRelationships.SetConstantElasticity","text":"SetConstantElasticity(; G=nothing, ν=nothing, E=nothing, Kb=nothing)\n\nThis allows setting elastic parameters by specifying 2 out of the 4 elastic parameters G (Elastic shear modulus), ν (Poisson's ratio), E (Young's modulus), or Kb (bulk modulus).\n\n\n\n\n\n","category":"function"},{"location":"man/elasticity/#Computational-routines","page":"Elasticity","title":"Computational routines","text":"","category":"section"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"We can compute the elastic strainrate with:","category":"page"},{"location":"man/elasticity/","page":"Elasticity","title":"Elasticity","text":"GeoParams.compute_εII\nGeoParams.compute_εII!","category":"page"},{"location":"man/viscosity/#Effective-viscosity-computations","page":"Viscosity","title":"Effective viscosity computations","text":"","category":"section"},{"location":"man/viscosity/#Methods","page":"Viscosity","title":"Methods","text":"","category":"section"},{"location":"man/viscosity/","page":"Viscosity","title":"Viscosity","text":"A number of viscosity parameterisations are implemented, which can be set with:","category":"page"},{"location":"man/viscosity/","page":"Viscosity","title":"Viscosity","text":"LinearViscous\nLinearMeltViscosity, \nDiffusionCreep, \nDislocationCreep, \nConstantElasticity, \nDruckerPrager, \nArrheniusType, \nGrainBoundarySliding, \nPeierlsCreep, \nNonLinearPeierlsCreep","category":"page"},{"location":"man/viscosity/#Computational-routines","page":"Viscosity","title":"Computational routines","text":"","category":"section"},{"location":"man/viscosity/","page":"Viscosity","title":"Viscosity","text":"To compute the viscosity given stress of strainrate use:","category":"page"},{"location":"man/viscosity/","page":"Viscosity","title":"Viscosity","text":"GeoParams.compute_viscosity_εII\nGeoParams.compute_viscosity_τII","category":"page"},{"location":"man/viscosity/#GeoParams.compute_viscosity_εII","page":"Viscosity","title":"GeoParams.compute_viscosity_εII","text":"compute_viscosity_εII(s::AbstractConstitutiveLaw, εII, kwargs...)\n\nCompute effective viscosity given a 2nd invariant of the deviatoric strain rate tensor, extra parameters are passed as a named tuple, e.g., (;T=T) \n\n\n\n\n\n","category":"function"},{"location":"man/viscosity/#GeoParams.compute_viscosity_τII","page":"Viscosity","title":"GeoParams.compute_viscosity_τII","text":"compute_viscosity_τII(s::AbstractConstitutiveLaw, τII, kwargs...)\n\nCompute effective viscosity given a 2nd invariant of the deviatoric stress tensor and, extra parameters are passed as a named tuple, e.g., (;T=T) \n\n\n\n\n\n","category":"function"},{"location":"man/shearheating/#Shear-heating","page":"Shear heating","title":"Shear heating","text":"","category":"section"},{"location":"man/shearheating/#Methods","page":"Shear heating","title":"Methods","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"Heat caused by non-recoverable deformation can be specified in ","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.ConstantShearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.ConstantShearheating","text":"ConstantShearheating(Χ=0.0NoUnits)\n\nSet the shear heating efficiency [0-1] parameter\n\nΧ  = cst\n\nwhere Chi is the shear heating efficiency [NoUnits]\n\nShear heating is computed as\n\nH_s = Chi cdot tau_ij(dotvarepsilon_ij - dotvarepsilon^el_ij)\n\n\n\n\n\n","category":"type"},{"location":"man/shearheating/#Computational-routines","page":"Shear heating","title":"Computational routines","text":"","category":"section"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"To compute, use this:","category":"page"},{"location":"man/shearheating/","page":"Shear heating","title":"Shear heating","text":"GeoParams.MaterialParameters.Shearheating.compute_shearheating\nGeoParams.MaterialParameters.Shearheating.compute_shearheating!","category":"page"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating","text":"H_s = compute_shearheating(s:<AbstractShearheating, τ, ε, ε_el)\n\nComputes the shear heating source term\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\n\n\n\n\nH_s = ComputeShearheating(s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/shearheating/#GeoParams.MaterialParameters.Shearheating.compute_shearheating!","page":"Shear heating","title":"GeoParams.MaterialParameters.Shearheating.compute_shearheating!","text":"compute_shearheating!(H_s, s:<AbstractShearheating,  τ, ε, ε_el)\n\nComputes the shear heating source term in-place\n\nH_s = Chi cdot tau_ij ( dotvarepsilon_ij - dotvarepsilon^el_ij)\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\ndotvarepsilon^el_ij : The full elastic deviatoric strainrate tensor\n\nNOTE: The shear heating terms require the full deviatoric stress & strain rate tensors, i.e.:\n\n2D tau_ij = left(\n                beginmatrix\n                    tau_xx  tau_xz \n                    tau_zx  tau_zz\n                endmatrix\n            right)\n\nSince tau_zx=tau_xz, most geodynamic codes only take one of the terms into account; shear heating requires all components to be used!\n\n\n\n\n\ncompute_shearheating!(H_s, s:<AbstractShearheating, τ, ε)\n\nComputes the shear heating source term H_s in-place when there is no elasticity\n\nH_s = Chi cdot tau_ij  dotvarepsilon_ij\n\nParameters\n\nChi : The efficiency of shear heating (between 0-1)\ntau_ij : The full deviatoric stress tensor [4 components in 2D; 9 in 3D]\ndotvarepsilon_ij : The full deviatoric strainrate tensor\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#Nondimensionalization","page":"Nondimensionalization","title":"Nondimensionalization","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Create a nondimensionalization object in which we specify characteristic values, which are later employed to non-dimensionalize (or dimensionalize) all model parameters. Choose between GEO, SI or NO units:","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"SI units assume all input and output is in SI units. Very general, but for typical geodynamic simulations often not so useful (as a million years has many seconds, resulting in large numbers).\nGEO units uses SI units throughout but assumes that input/output are in a format that is more convenient for typical geodynamic use cases, such as Myrs,km or MPa\nNO units are nondimensional units. Note that for parameters to be correctly non-dimensionalized in this case, you still have to indicate units (such as that velocity is given in m/s).","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"A dimensional parameter can be transformed into a non-dimensional one with nondimensionalize.","category":"page"},{"location":"man/nondimensionalize/#Specify-characteristic-values","page":"Nondimensionalization","title":"Specify characteristic values","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Characteristic values can be defined in 3 ways.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"GeoParams.Units\nAbstractGeoUnit\nGeoUnit\nGeoUnits\nGEO_units\nSI_units\nNO_units\n@unpack_val\n@unpack_units","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units","page":"Nondimensionalization","title":"GeoParams.Units","text":"This provides units and creates a non-dimensionalization object\n\n\n\n\n\n","category":"module"},{"location":"man/nondimensionalize/#GeoParams.Units.AbstractGeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.AbstractGeoUnit","text":"AbstractGeoUnit\n\nAbstract supertype for geo units.\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnit","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnit","text":"Structure that holds a GeoUnit parameter, and encodes the units and whether it is dimensional or not in the name.\n\nHaving that is useful, as non-dimensionalization removes the units from a number and we thus no longer know how to transfer it back to the correct units.\nWith the GeoUnit struct, this information is retained, and we can thus redimensionalize it at a later StepRange\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GeoUnits","page":"Nondimensionalization","title":"GeoParams.Units.GeoUnits","text":"GeoUnits\n\nStructure that holds parameters used for non-dimensionalization\n\n\n\n\n\n","category":"type"},{"location":"man/nondimensionalize/#GeoParams.Units.GEO_units","page":"Nondimensionalization","title":"GeoParams.Units.GEO_units","text":"GEO_units(;length=1000km, temperature=1000C, stress=10MPa, viscosity=1e20Pas)\n\nCreates a non-dimensionalization object using GEO units.\n\nGEO units implies that upon dimensionalization, time will be in Myrs, length in km, stress in MPa, etc. which is more convenient for typical geodynamic simulations than SI units The characteristic values given as input can be in arbitrary units (km or m), provided the unit is specified.\n\nExamples:\n\njulia> CharUnits = GEO_units()\nEmploying GEO units \nCharacteristic values: \n         length:      1000 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\njulia> CharUnits.velocity\n1.0e-7 m s⁻¹\n\nIf we instead have a crustal-scale simulation, it is likely more appropriate to use a different characteristic length:\n\njulia> CharUnits = GEO_units(length=10km)\nEmploying GEO units \nCharacteristic values: \n         length:      10 km\n         time:        0.3169 Myrs\n         stress:      10 MPa\n         temperature: 1000.0 °C\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.SI_units","page":"Nondimensionalization","title":"GeoParams.Units.SI_units","text":"CharUnits = SI_units(length=1000m, temperature=1000K, stress=10Pa, viscosity=1e20)\n\nSpecify the characteristic values using SI units \n\nExamples:\n\njulia> CharUnits = SI_units(length=1000m)\nEmploying SI units \nCharacteristic values: \n         length:      1000 m\n         time:        1.0e19 s\n         stress:      10 Pa\n         temperature: 1000.0 K\n\nNote that the same can be achieved if the input is given in km:\n\njulia> CharUnits = SI_units(length=1km)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.NO_units","page":"Nondimensionalization","title":"GeoParams.Units.NO_units","text":"CharUnits = NO_units(length=1, temperature=1, stress=1, viscosity=1)\n\nSpecify the characteristic values in non-dimensional units\n\nExamples:\n\njulia> using GeoParams;\njulia> CharUnits = NO_units()\nEmploying NONE units \nCharacteristic values: \n         length:      1\n         time:        1.0 \n         stress:      1\n         temperature: 1.0\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_val","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_val","text":"This unpacks the numerical value of `GeoUnit` in a structure, without the units.\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_val ρ,α = r\njulia> α\n4.0e-5\njulia> typeof(α)\nFloat64\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#GeoParams.Units.@unpack_units","page":"Nondimensionalization","title":"GeoParams.Units.@unpack_units","text":"This unpacks the numerical value with units of `GeoUnit` parameters in a structure\nAll requested variables must be GeoUnits.\n\nThis is a modification of the `@unpack` macro as implemented in the `UnPack.jl` package, which can be used to retrieve the full variables.\n\nExample\n\njulia> struct Density{T} \n        ρ::GeoUnit{T} \n        α::GeoUnit{T} \n       end\njulia> r = Density(GeoUnit(100kg/m^3),GeoUnit(4e-5/K));\njulia> @unpack_units ρ,α = r\njulia> α\n4.0e-5 K⁻¹·⁰\njulia> typeof(α)\nQuantity{Float64, 𝚯⁻¹·⁰, Unitful.FreeUnits{(K⁻¹·⁰,), 𝚯⁻¹·⁰, nothing}}\n\n\n\n\n\n","category":"macro"},{"location":"man/nondimensionalize/#(Non)-dimensionalize-parameters","page":"Nondimensionalization","title":"(Non)-dimensionalize parameters","text":"","category":"section"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"Once characteristic values have been defined, you can use them to non-dimensionalize or dimensionalize any parameter.","category":"page"},{"location":"man/nondimensionalize/","page":"Nondimensionalization","title":"Nondimensionalization","text":"nondimensionalize\ndimensionalize\nisDimensional","category":"page"},{"location":"man/nondimensionalize/#GeoParams.Units.nondimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.nondimensionalize","text":"nondimensionalize(param, CharUnits::GeoUnits{TYPE})\n\nNondimensionalizes param using the characteristic values specified in CharUnits\n\nExample 1\n\njulia> using GeoParams;\njulia> CharUnits =   GEO_units();\njulia> v         =   3cm/yr\n3 cm yr⁻¹ \njulia> v_ND      =   nondimensionalize(v, CharUnits) \n0.009506426344208684\n\nExample 2\n\nIn geodynamics one sometimes encounters more funky units\n\njulia> CharUnits =   GEO_units();\njulia> A         =   6.3e-2MPa^-3.05*s^-1\n0.063 MPa⁻³·⁰⁵ s⁻¹\njulia> A_ND      =   nondimensionalize(A, CharUnits) \n7.068716262102384e14\n\nIn case you are interested to see how the units of A look like in different units, use this function from the Unitful package:\n\njulia> uconvert(u\"Pa^-3.05*s^-1\",A) \n3.157479571851836e-20 Pa⁻³·⁰⁵\n\nand to see it decomposed in the basic SI units of length, mass and time:\n\njulia> upreferred(A)\n3.1574795718518295e-20 m³·⁰⁵ s⁵·¹ kg⁻³·⁰⁵\n\n\n\n\n\nparam = nondimensionalize(param::NTuple{N,Quantity}, g::GeoUnits{TYPE})\n\nnondimensionalizes a tuple of parameters    \n\n\n\n\n\nMatParam_ND = nondimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nNon-dimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\n\n\nnondimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nnondimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\nMatParam_ND = nondimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)\n\nNon-dimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.dimensionalize","page":"Nondimensionalization","title":"GeoParams.Units.dimensionalize","text":"dimensionalize(param, param_dim::Unitful.FreeUnits, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes param into the dimensions param_dim using the characteristic values specified in CharUnits.  \n\nExample\n\njulia> CharUnits =   GEO_units();\njulia> v_ND      =   nondimensionalize(3cm/yr, CharUnits) \n0.031688087814028945\njulia> v_dim     =   dimensionalize(v_ND, cm/yr, CharUnits) \n3.0 cm yr⁻¹\n\n\n\n\n\ndimensionalize(MatParam::AbstractMaterialParam, CharUnits::GeoUnits{TYPE})\n\nDimensionalizes a material parameter structure (e.g., Density, CreepLaw)\n\n\n\n\n\nDimensionalize(phase_mat::MaterialParams, g::GeoUnits{TYPE})\n\nDimensionalizes all fields within the Material Parameters structure that contain material parameters\n\n\n\n\n\ndimensionalize(MatParam::NTuple{N, AbstractMaterialParamsStruct}, CharUnits::GeoUnits)\n\ndimensionalizes a tuple of material parameter structures (e.g., Density, CreepLaw)\n\n\n\n\n\n","category":"function"},{"location":"man/nondimensionalize/#GeoParams.Units.isDimensional","page":"Nondimensionalization","title":"GeoParams.Units.isDimensional","text":"isDimensional(MatParam::AbstractMaterialParam)\n\ntrue if MatParam is in dimensional units.    \n\n\n\n\n\n","category":"function"},{"location":"man/density/#Density","page":"Density","title":"Density","text":"","category":"section"},{"location":"man/density/#Methods","page":"Density","title":"Methods","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"The density equation of state can be specified in a number of ways","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.ConstantDensity\nGeoParams.MaterialParameters.Density.PT_Density\nGeoParams.MaterialParameters.Density.T_Density\nGeoParams.MaterialParameters.Density.Compressible_Density\nGeoParams.MaterialParameters.Density.MeltDependent_Density","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.ConstantDensity","page":"Density","title":"GeoParams.MaterialParameters.Density.ConstantDensity","text":"ConstantDensity(ρ=2900kg/m^3)\n\nSet a constant density:\n\n    rho  = cst\n\nwhere rho is the density [kgm^3].\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.PT_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.PT_Density","text":"PT_Density(ρ0=2900kg/m^3, α=3e-5/K, β=1e-9/Pa, T0=0C, P=0MPa)\n\nSet a pressure and temperature-dependent density:\n\n    rho  = rho_0 (10 - alpha (T-T_0) + beta  (P-P_0) )\n\nwhere rho_0 is the density [kgm^3] at reference temperature T_0 and pressure P_0, alpha is the temperature dependence of density and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.T_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.T_Density","text":"T_Density(ρ0=2900kg/m^3, α=3e-5/K, T₀=273.15K)\n\nSet a temperature-dependent density:\n\n    rho  = rho_0 (1 - alpha * (T - T_0) )\n\nwhere rho_0 is the density [kgm^3] at reference temperature T_0 and alpha the temperature dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.Compressible_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.Compressible_Density","text":"Compressible_Density(ρ0=2900kg/m^3, β=1e-9/Pa, P₀=0MPa)\n\nSet a pressure-dependent density:\n\n    rho  = rho_0 exp(β*(P - P_0))\n\nwhere rho_0 is the density [kgm^3] at reference pressure P_0 and beta the pressure dependence.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#GeoParams.MaterialParameters.Density.MeltDependent_Density","page":"Density","title":"GeoParams.MaterialParameters.Density.MeltDependent_Density","text":"MeltDependent_Density(ρsolid=ConstantDensity(), ρmelt=ConstantDensity())\n\nIf we use a single phase code the average density of a partially molten rock is\n\n    rho  = phi rho_textrmmelt + (1-phi) rho_textrmsolid\n\nwhere rho is the average density [kgm^3], rho_\textrmmelt the melt density, rho_\textrmsolid the solid density and phi the melt fraction.\n\nNote that any density formulation can be used for melt and solid.\n\n\n\n\n\n","category":"type"},{"location":"man/density/#Computational-routines","page":"Density","title":"Computational routines","text":"","category":"section"},{"location":"man/density/","page":"Density","title":"Density","text":"To evaluate density within a user routine, use this:","category":"page"},{"location":"man/density/","page":"Density","title":"Density","text":"GeoParams.MaterialParameters.Density.compute_density\nGeoParams.MaterialParameters.Density.compute_density!","category":"page"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density","text":"compute_density(P,T, s::PhaseDiagram_LookupTable)\n\nInterpolates density as a function of T,P from a lookup table\n\n\n\n\n\n","category":"function"},{"location":"man/density/#GeoParams.MaterialParameters.Density.compute_density!","page":"Density","title":"GeoParams.MaterialParameters.Density.compute_density!","text":"compute_density!(rho::AbstractArray{_T, ndim}, MatParam::NTuple{N,AbstractMaterialParamsStruct}, Phases::AbstractArray{_I, ndim}; P=nothing, T=nothing) where {ndim,N,_T,_I<:Integer}\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\nExample\n\njulia> MatParam = (SetMaterialParams(Name=\"Mantle\", Phase=1,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pa*s)),\n                        Density   = PT_Density()\n                        ),\n                    SetMaterialParams(Name=\"Crust\", Phase=2,\n                        CreepLaws= (PowerlawViscous(), LinearViscous(η=1e23Pas)),\n                        Density   = ConstantDensity(ρ=2900kg/m^3))\n                  );\njulia> Phases = ones(Int64,400,400);\njulia> Phases[:,20:end] .= 2\njulia> rho     = zeros(size(Phases))\njulia> T       =  ones(size(Phases))\njulia> P       =  ones(size(Phases))*10\njulia> args = (P=P, T=T)\njulia> compute_density!(rho, MatParam, Phases, args)\njulia> rho\n400×400 Matrix{Float64}:\n2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n    ⋮                                            ⋮                                         ⋱     ⋮                                       ⋮\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  …  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n 2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91  2899.91     2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0  2900.0\n\nThe routine is made to minimize allocations:\n\njulia> using BenchmarkTools\njulia> @btime compute_density!($rho, $MatParam, $Phases, P=$P, T=$T)\n    203.468 μs (0 allocations: 0 bytes)\n\n_____________________________________________________________________________________________________________________________\n\ncompute_density!(rho::AbstractArray{_T, N}, MatParam::NTuple{K,AbstractMaterialParamsStruct}, PhaseRatios::AbstractArray{_T, M}, P=nothing, T=nothing)\n\nIn-place computation of density rho for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/density/","page":"Density","title":"Density","text":"Note that density values are usually not used in itself in the governing PDE's, but usually in combination with other parameters, such as rho g or rho c_p. the non-dimensional value of rho may thus have very large or small values, but multiplied with the other values one often obtains numbers that are closer to one.","category":"page"},{"location":"man/customrheology/#User-defined-rheology","page":"Custom rheology","title":"User-defined rheology","text":"","category":"section"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"CustomRheology allows the user to interface with GeoParams.jl API for rheology calculations: ","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"struct CustomRheology{F1, F2, T} <: AbstractCreepLaw\n    strain::F1\n    stress::F2\n    args::T\nend","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"where strain and stress are functions that compute the strain rate and deviatoric stress tensors, respectively, and args is a NamedTuple containing any constant (i.e. immutable) physical parameters needed by our CustomRheology. ","category":"page"},{"location":"man/customrheology/#Example:-Arrhenious-type-rheology","page":"Custom rheology","title":"Example: Arrhenious-type rheology","text":"","category":"section"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"The deviatoric stress tau_ij and strain rate tensors dotvarepsilon_ij are simply tau_ij = 2 eta dotvarepsilon_ij and dotvarepsilon_ij  = tau_ij  over 2 eta","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"and the viscosity eta is temperature-dependant     eta = eta_0  expleft(fracET+T_o-fracET_eta+T_oright)","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"where eta_0 and T_eta are the respective reference viscosity and temperature, T_o is the offset temperature, T is the local temperature, and E is activation energy. ","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Before defining the functions to compute tau and dotvarepsilon, it is convenient to define a helper function to compute the viscosity:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"@inline function custom_viscosity(\n    a::CustomRheology; T = 0.0, kwargs...\n)\n    (; η0, E, To, Tη) = a.args\n    η = η0 * exp(E / (T + To) - E / (Tη + To))\n    return  η\nend","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Then we just need to define two simple functions to compue the second invariants of tau_ij and dotvarepsilon_ij:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"# function to compute deviatoric stress\n@inline function custom_τII(\n    a::CustomRheology, EpsII; kwargs...\n)\n    η = custom_viscosity(a; kwargs...)\n    return 2.0 * (η * EpsII)\nend\n\n# function to compute strain rate\n@inline function custom_εII(\n    a::CustomRheology, TauII; kwargs...\n)\n    η = custom_viscosity(a; kwargs...)\n    return (TauII / η) * 0.5\nend","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Note that the key word argument kwargs... is needed in all the above functions for compatibility with GeoParams.jl. ","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Finally, we need a NamedTuple containing the physical parameters needed by custom_τII and custom_εII:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"# constant parameters, these are typically wrapped into a struct (compulsory)\nparameters = (;\n    η0 = 1.0,\n    E = 23.03,\n    To = 1.0,\n    Tη = 1.0,\n)","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Then the CustomRheology object is created","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"a = CustomRheology(custom_εII, custom_τII, parameters)","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"Now we can use our new rheology object with GeoParams.jl methods:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"julia> args = (; T=0.5)\n(T = 0.5,)\n\njulia> τII, εII = 1.5,  0.5\n(1.5, 0.5)\n\njulia> ε = compute_εII(v, τII, args)\n0.016147090412110487\n\njulia> τ = compute_τII(v, εII, args)\n46.44799656521971\n\njulia> dεdτ = dεII_dτII(v, τII, args)\n0.010764726941406991\n\njulia> dτdε = dτII_dεII(v, εII, args)\n92.89599313043942","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"And also works for composite rheologies:","category":"page"},{"location":"man/customrheology/","page":"Custom rheology","title":"Custom rheology","text":"julia> el = ConstantElasticity(; G=1.0)\nLinear elasticity with shear modulus: G = 1.0, Poisson's ratio: ν = 0.5, bulk modulus: Kb = Inf and Young's module: E=NaN\n\njulia> c = CompositeRheology(v, el)\n--?????----/\\/\\/--\n\njulia> args = (; dt=Inf, T=0.5)\n(dt = Inf, T = 0.5)\n\njulia> ε = compute_εII(c, τII, args)\n0.016147090412110487\n\njulia> τ = compute_τII(c, εII, args)\n46.44799656521971","category":"page"},{"location":"man/gravity/#Gravitational-acceleration","page":"Gravity","title":"Gravitational acceleration","text":"","category":"section"},{"location":"man/gravity/#Methods","page":"Gravity","title":"Methods","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"Gravitational acceleration is defined as ","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.ConstantGravity","text":"GravityConstant(g=9.81m/s^2)\n\nSet a constant value for the gravitational acceleration:\n\n    g  = 981 m s^-2\n\n\n\n\n\n","category":"type"},{"location":"man/gravity/#Computational-routines","page":"Gravity","title":"Computational routines","text":"","category":"section"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"To compute, use this:","category":"page"},{"location":"man/gravity/","page":"Gravity","title":"Gravity","text":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","category":"page"},{"location":"man/gravity/#GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","page":"Gravity","title":"GeoParams.MaterialParameters.GravitationalAcceleration.compute_gravity","text":"compute_gravity(s:<AbstractGravity)\n\nReturns the gravitational acceleration \n\n\n\n\n\n","category":"function"},{"location":"#GeoParams.jl","page":"Home","title":"GeoParams.jl","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Typical geodynamic simulations involve a large number of material parameters that have units that are often inconvenient to be directly used in numerical models. This package has two main features that help with this:","category":"page"},{"location":"","page":"Home","title":"Home","text":"Nondimensionalization object, which can be used to transfer dimensional to non-dimensional parameters (usually better for numerical solvers).\nMaterial parameters object in which you can specify  parameters employed in the geodynamic simulations. This object is designed to be extensible and can be passed on to the solvers, such that new creep laws or features can be readily added. ","category":"page"},{"location":"","page":"Home","title":"Home","text":"We also implement some typically used creep law parameters, together with tools to plot them versus and compare our results with those of published papers (to minimize mistakes).","category":"page"},{"location":"man/conductivity/#Conductivity","page":"Conductivity","title":"Conductivity","text":"","category":"section"},{"location":"man/conductivity/#Methods","page":"Conductivity","title":"Methods","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"Thermal conductivity is defined as ","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity\nGeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington\nGeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised\nGeoParams.MaterialParameters.Conductivity.TP_Conductivity\nGeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.ConstantConductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.ConstantConductivity","text":"ConstantConductivity(k=3.0W/m/K)\n\nSet a constant conductivity\n\n    k  = cst\n\nwhere k is the thermal conductivity [WmK].\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington","text":"T_Conductivity_Whittington()\n\nSets a temperature-dependent conductivity following the parameterization of Whittington, A.G., Hofmeister, A.M., Nabelek, P.I., 2009. Temperature-dependent thermal diffusivity of the Earth’s crust and implications for magmatism. Nature 458, 319–321. https://doi.org/10.1038/nature07818. Their parameterization is originally given for the thermal diffusivity, together with a parameterization for thermal conductivity, which allows us to compute\n\n    Cp = a + b T - cT^2\n\n    kappa = dT - e textrm if  T=846K\n\n    kappa = f - g*T textrm if  T846K\n\n    rho = 2700 kgm^3\n\n    k = kappa rho Cp\n\nwhere Cp is the heat capacity [JmolK], and abc are parameters that dependent on the temperature T:\n\na = 199.50 J/mol/K    if T<= 846 K\na = 199.50 J/mol/K    if T> 846 K\nb = 0.0857J/mol/K^2   if T<= 846 K\nb = 0.0323J/mol/K^2   if T> 846 K\nc = 5e6J/mol*K        if T<= 846 K\nc = 47.9e-6J/mol*K    if T> 846 K\nd = 576.3m^2/s*K\ne = 0.062m^2/s\nf = 0.732m^2/s\ng = 0.000135m^2/s/K\n\nThis looks like:\n\n(Image: subet1)\n\nExample\n\njulia> using GLMakie, GeoParams\njulia> p=T_Conductivity_Whittington();\njulia> T,k,plt = PlotConductivity(p)\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.T_Conductivity_Whittington_parameterised","text":"T_Conductivity_Whittington_parameterised()\n\nSets a temperature-dependent conductivity that is  parameterization after Whittington, et al.  2009\n\nThe original parameterization involves quite a few parameters; this is a polynomial fit that is roughly valid from 0-1000 Celsius\n\n    k WmK = -2 10^-9 (T-Ts)^3 + 6 10^-6 (T-Ts)^2 - 00062 (T-Ts) + 4\n\n    Ts = 27315 K\n\nwhere T[K] is the temperature in Kelvin (or the nondimensional equivalent of it).\n\nThe comparison of this parameterisation vs. the original one is: (Image: subet1)\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.TP_Conductivity","text":"TP_Conductivity()\n\nSets a temperature (and pressure)-dependent conductivity parameterization as described in Gerya, Numerical Geodynamics (2nd edition, Table 21.2). The general for\n\n    k = left( a_k +  b_k over T + c_k right) (1 + d_k P)\n\nwhere k is the conductivity [WKm], and a_kb_kc_kd_k are parameters that dependent on the temperature T and pressure P:\n\na_k = 1.18Watt/K/m\nb_k = 474Watt/m\nc_k = 77K\nd_k = 0/MPa\n\n\n\n\n\n","category":"type"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.Set_TP_Conductivity","text":"Set_TP_Conductivity[\"Name of temperature(-pressure) dependent conductivity\"]\n\nThis is a dictionary with pre-defined laws:\n\n\"UpperCrust\"\n\"LowerCrust\"\n\"OceanicCrust\"\n\"Mantle\"\n\nExample\n\njulia> k=Set_TP_Conductivity[\"Mantle\"]\nT/P dependent conductivity: k = (0.73 W K⁻¹ m⁻¹ + 1293 W m⁻¹/(T + 77 K))*(1 + 4.0e-5 MPa⁻¹*P)\n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#Computational-routines","page":"Conductivity","title":"Computational routines","text":"","category":"section"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"To compute, use this:","category":"page"},{"location":"man/conductivity/","page":"Conductivity","title":"Conductivity","text":"GeoParams.MaterialParameters.Conductivity.compute_conductivity\nGeoParams.MaterialParameters.Conductivity.compute_conductivity!","category":"page"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity","text":"k = compute_conductivity(P, T, s:<AbstractConductivity)\n\nReturns the thermal conductivity k at any temperature T and pressure P using any of the parameterizations implemented.\n\nCurrently available:\n\nConstantConductivity\nT_Conductivity_Whittington\nTP_Conductivity\n\nExample\n\nUsing dimensional units\n\njulia> T  = (250:100:1250)*K;\njulia> cp = T_HeatCapacity_Whittington()\njulia> Cp = ComputeHeatCapacity(0,T,cp)\n\n\n\n\n\ncompute_conductivity!(K::AbstractArray{<:AbstractFloat}, Phases::AbstractArray{<:Integer}, P::AbstractArray{<:AbstractFloat},Temp::AbstractArray{<:AbstractFloat}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of conductivity K for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and Temp arrays. This assumes that the Phase of every point is specified as an Integer in the Phases array.\n\n_________________________________________________________________________________________________________\n\ncompute_conductivity!(k::AbstractArray{T,N}, PhaseRatios::AbstractArray{T, M}, P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, MatParam::AbstractArray{<:AbstractMaterialParamsStruct})\n\nIn-place computation of conductivity k for the whole domain and all phases, in case a vector with phase properties MatParam is provided, along with P and T arrays. This assumes that the PhaseRatio of every point is specified as an Integer in the PhaseRatios array, which has one dimension more than the data arrays (and has a phase fraction between 0-1)\n\n\n\n\n\n","category":"function"},{"location":"man/conductivity/#GeoParams.MaterialParameters.Conductivity.compute_conductivity!","page":"Conductivity","title":"GeoParams.MaterialParameters.Conductivity.compute_conductivity!","text":"compute_conductivity(k_array::AbstractArray{<:AbstractFloat,N},P::AbstractArray{<:AbstractFloat,N},T::AbstractArray{<:AbstractFloat,N}, s::ConstantConductivity) where N\n\nIn-place routine to compute constant conductivity\n\n\n\n\n\n","category":"function"}]
+}
diff --git a/v0.5.7/siteinfo.js b/v0.5.7/siteinfo.js
new file mode 100644
index 000000000..402510ea5
--- /dev/null
+++ b/v0.5.7/siteinfo.js
@@ -0,0 +1 @@
+var DOCUMENTER_CURRENT_VERSION = "v0.5.7";
diff --git a/versions.js b/versions.js
new file mode 100644
index 000000000..4e5fba550
--- /dev/null
+++ b/versions.js
@@ -0,0 +1,10 @@
+var DOC_VERSIONS = [
+  "stable",
+  "v0.5",
+  "v0.4",
+  "v0.3",
+  "v0.2",
+  "dev",
+];
+var DOCUMENTER_NEWEST = "v0.5.7";
+var DOCUMENTER_STABLE = "stable";